diff --git a/hamiltonian-simulation/README.md b/hamiltonian-simulation/README.md index f43ff7b6..0a886f58 100644 --- a/hamiltonian-simulation/README.md +++ b/hamiltonian-simulation/README.md @@ -1,6 +1,12 @@ # Hamiltonian Simulation - Prototype Benchmark Program -Simulation of quantum systems is one of the most promising applications for quantum computers [[1]](#references). In the current version of this benchmark, we compare the quantum simulation against a classical simultion of the same circuit in order to report our fidelity. This works well for small circuit sizes, but is not scalable past a certain number of qubits. Additionally, we can now only run specific circuits, rather than random ones, limiting the ability of this benchmark to completely characterize real uses cases of the Hamiltonian simulation algorithm. We have some suggested modifications to this benchmark which we outline and explain why we did not chose to use them at this time in the section [Proposed Improvements](#Proposed-Improvements). +Simulation of quantum systems is one of the most promising applications for quantum computers [1](#references). In the current version of this benchmark, we have two main strategies for calculating fidelities. + +In the first strategy, we compare the quantum simulation against a classical simultion in order to report our fidelity. This works well for small circuit sizes, but is not scalable past a certain number of qubits. + +In the second strategy, we use the mirror circuits method developed by Sandia Labratories [2](#references). This is scalable to all qubit sizes. + +We can now only run specific circuits, rather than random ones, limiting the ability of this benchmark to completely characterize real uses cases of the Hamiltonian simulation algorithm. We have some suggested modifications to this benchmark which we outline and explain why we did not chose to use them at this time in the section [Proposed Improvements](#Proposed-Improvements). ## Problem outline @@ -37,18 +43,40 @@ $$ Where is the coupling strength between neighboring spins, and is the strength of the transverse field. -In our benchmarks, currently both $J=1$ and $h=.2$. +In our benchmarks, currently both $J=1$ and $h=1$. ## Benchmarking The Hamiltonian Simulation algorithm is benchmarked by running **just a single circuit**. This circuit is repeated a number of times denoted by `num_shots`. We then run the algorithm circuit for numbers of qubits between `min_qubits` and `max_qubits`, inclusive. The test returns the averages of the circuit creation times, average execution times, fidelities, and circuit depths, like all of the other algorithms. -After running the Hamiltonian Simulation circuit, there are two options for how to produce the fidelity metric, both of which use a precalculated distribution to compare to the Hamiltonian Simulation results. Method = 1 uses a distribution from a noiseless simulation of the trotterized quantum circuit. For this method, if the benchmark is also run on a noiseless simulation, with a high number of shots, the fidelity should be high. Method = 2 uses a classical matrix technique to simulate the evolution of the hamiltonian directly. Wheras method = 1 more directly tests the hardware, method = 2 also tests the accuracy of the hamiltonian simulation algorithm itself. +There are currently three methods for how to produce the fidelity metric. All three methods evolve a state, and create a metric based on how well the state evolved. + +The first two methods evolve an initial state a time $t$, and compare the final state against a precalculated distribution. Method = 1 creates the precalculated distribution from a noiseless simulation of the Hamiltonian Simulation quantum circuit. Method = 2 uses a classical matrix technique to simulate the evolution of the hamiltonian directly. Wheras method = 1 only tests the performance of the hardware, method = 2 also tests the accuracy of the Hamiltonian simulation itself. + +We calculate these precalculated distributions in the jupyter notebook `precalculated_data.ipynb`, which stores the results for up to 20 qubits in the `precalculated_data.json` data file. The python code then imports the distributions from the `json` file. This is a less than ideal fidelity calculation as it does not scale to any size of qubits. It requires the classical simulation of matrix products, which requires resources exponential in number of qubits. + +In the `precalculated_data.ipnyb`, we set the trotterization steps (k) to 5 and the time to .2. For the Heisenberg Hamiltonian, $w$ is set to 1 but $J$ is hard-coded to 1. For TFIM, the Hamiltonian variables are both hard-coded to $J=1$ and $h=1$ respectively. + +Method = 3 uses a mirror circuit based off of the Hamiltonian Simulation circuit, designed so that the target distribution is trivial. It evolves an initial state forwards a time $t$, then backwards in time $t$, so that the final state should be the (trivial) initial state. Because this doesn't utilize classical resources to generate a comparison metric, this scales to any size of qubits. -In either case, we compare the resultant distribution using our [noise-normalized fidelity calculation](../_doc/POLARIZATION_FIDELITY.md). -We calculate these expected distributions in the jupyter notebook `precalculated_data.ipynb`, which stores the results for up to 20 qubits in the `precalculated_data.json` data file. The python code then imports the distributions from the `json` file. This is a less than ideal fidelity calculation as it does not scale to any size of qubits. It requires the classical simulation of matrix products, which requires resources exponential in number of qubits. +In all cases, we compare the resultant distribution using our [noise-normalized fidelity calculation](../_doc/POLARIZATION_FIDELITY.md). -In the `precalculated_data.ipnyb`, we set the trotterization steps (k) to 5 and the time to .2. For the Heisenberg Hamiltonian, $w$ is set to 1 but $J$ is hard-coded to 1. For TFIM, the Hamiltonian variables are both hard-coded to $J=1$ and $h=.2$ respectively. +In the run() method for the benchmark, there are a number of optional arguments that can be specified. Some of the key arguments are as follows: + +``` +Parameters +---- + + min_qubits (int): Minimum number of qubits (smallest circuit is 2 qubits). + max_qubits (int): Maximum number of qubits. + max_circuits (int): Maximum number of circuits to execute per group. + num_shots (int): Number of shots for each circuit execution. + hamiltonian (str): Which hamiltonian to run. "heisenberg" by default but can also choose "TFIM". + method (int): Method for fidelity checking (1 for noiseless trotterized quantum, 2 for exact classical, 3 for mirror circuit.) + use_XX_YY_ZZ_gates (bool): Flag to use unoptimized XX, YY, ZZ gates. + random_pauli_flag (bool): Flag to activate more sophisticated mirror circuit formation that utilizes a layer of random paulis seperating the mirror circuits in addition to using a quasi-inverse rather than an inverse. + init_state (str): The desired initial state. Choices are "checkerboard" or "ghz". +``` ## Classical algorithm @@ -125,19 +153,13 @@ There are two options of circuit creation for this simulation:

*Fig 6. Naive gate.* - -## Proposed Improvements - -Our suggested method of modifying this benchmark involves a topic taken from condensed matter called *many-body localization* [[2]](#references) [[5]](#references). The essence of this phenomenon is that for certain closed quantum systems, some excited states fail to thermalize as expected. - -The parameters that we use for the current Hamiltonian simulation benchmark already put us in the many-body localization regime. After evolving the system for a suitibly long time, with , we can then take a look at a parameter called *imbalance* to characterize this property. The imbalance compares the percentage of measured 1's on the even versus odd sites. We see that for our Heisenberg Hamiltonian, when averaging over many random choices for and , the imbalance will converge to a constant value for increasing circuit width. We could then set our fidelity calculation as the deviation from the expected imbalance value. This benchmark is outlined in the `mbl_benchmark.py` file in the qiskit `WIP_benchmarks` folder. - -While we have already coded this benchmark, we are not using it as a benchmark because some of the parameters required are not feasible on current computers. Because of our comparatively large value of , we need to have a large number of Trotter steps so our simulation is close to the actual evolution of the Hamiltonian. This results in circuits that are thousands of gates long. Then, because the imbalance converging is a feature that occurs *on average*, we need to average over more than 100 different circuits for the fidelity calculation to capture just the hardware error, not the algorithmic error. All of these factors make it such that running the benchmark is difficult on simulators, and exceedingly expensive and/or time-intensive to run on hardware. In the future, when hardware is more accessible, these downsides might not be as big of an issue, and many-body-localization can be utilized as an effective benchmark. ## References [1] Feynman, RP. (1982) Simulating physics with computers. Int J Theor Phys 21:467–488. +[2] Proctor, T., Rudinger, K., Young, K. et al. Measuring the capabilities of quantum computers. Nat. Phys. 18, 75–79 (2022). https://doi.org/10.1038/s41567-021-01409-7 + [2] Andrew M. Childs, Dmitri Maslov, Yunseong Nam, Neil J. Ross, Yuan Su. (2017). Toward the first quantum simulation with quantum speedup. [`arXiv:1711.10980`](https://arxiv.org/pdf/1711.10980.pdf) diff --git a/hamiltonian-simulation/_common/hamiltonian_simulation_exact.py b/hamiltonian-simulation/_common/hamiltonian_simulation_exact.py new file mode 100644 index 00000000..3c6940f7 --- /dev/null +++ b/hamiltonian-simulation/_common/hamiltonian_simulation_exact.py @@ -0,0 +1,146 @@ +import sys + +sys.path[1:1] = ["_common", "_common/qiskit"] +sys.path[1:1] = ["../../_common", "../../_common/qiskit"] +sys.path[1:1] = ["../qiskit"] +from qiskit import QuantumCircuit +from qiskit.quantum_info import SparsePauliOp +from qiskit_algorithms import TimeEvolutionProblem, SciPyRealEvolver +import numpy as np +np.random.seed(0) +import execute as ex +import metrics as metrics + +from hamiltonian_simulation_kernel import initial_state + +def construct_TFIM_hamiltonian(n_spins: int) -> SparsePauliOp: + """ + Construct the Transverse Field Ising Model (TFIM) Hamiltonian. + + Args: + n_spins (int): Number of spins (qubits). + + Returns: + SparsePauliOp: The Hamiltonian represented as a sparse Pauli operator. + """ + pauli_strings = [] + coefficients = [] + g = 1 # Strength of the transverse field + + # Pauli spin vector product terms + for i in range(n_spins): + x_term = 'I' * i + 'X' + 'I' * (n_spins - i - 1) + pauli_strings.append(x_term) + coefficients.append(g) + + identity_string = ['I'] * n_spins + + # ZZ operation on each pair of qubits in a linear chain + for j in range(2): + for i in range(j % 2, n_spins - 1, 2): + zz_term = identity_string.copy() + zz_term[i] = 'Z' + zz_term[(i + 1) % n_spins] = 'Z' + zz_term = ''.join(zz_term) + pauli_strings.append(zz_term) + coefficients.append(1.0) + + return SparsePauliOp.from_list(zip(pauli_strings, coefficients)) + +def construct_heisenberg_hamiltonian(n_spins: int, w: int, hx: list[float], hz: list[float]) -> SparsePauliOp: + """ + Construct the Heisenberg Hamiltonian with disorder. + + Args: + n_spins (int): Number of spins (qubits). + w (float): Strength of two-qubit interactions for heisenberg hamiltonian. + hx (list[float]): Strength of internal disorder parameter for heisenberg hamiltonian. + hz (list[float]): Strength of internal disorder parameter for heisenberg hamiltonian. + + Returns: + SparsePauliOp: The Hamiltonian represented as a sparse Pauli operator. + """ + + pauli_strings = [] + coefficients = [] + + # Disorder terms + for i in range(n_spins): + x_term = 'I' * i + 'X' + 'I' * (n_spins - i - 1) + z_term = 'I' * i + 'Z' + 'I' * (n_spins - i - 1) + pauli_strings.append(x_term) + coefficients.append(w * hx[i]) + pauli_strings.append(z_term) + coefficients.append(w * hz[i]) + + identity_string = ['I'] * n_spins + + # Interaction terms + for j in range(2): + for i in range(j % 2, n_spins - 1, 2): + xx_term = identity_string.copy() + yy_term = identity_string.copy() + zz_term = identity_string.copy() + + xx_term[i] = 'X' + xx_term[(i + 1) % n_spins] = 'X' + + yy_term[i] = 'Y' + yy_term[(i + 1) % n_spins] = 'Y' + + zz_term[i] = 'Z' + zz_term[(i + 1) % n_spins] = 'Z' + + pauli_strings.append(''.join(xx_term)) + coefficients.append(1.0) + pauli_strings.append(''.join(yy_term)) + coefficients.append(1.0) + pauli_strings.append(''.join(zz_term)) + coefficients.append(1.0) + + return SparsePauliOp.from_list(zip(pauli_strings, coefficients)) + +def construct_hamiltonian(n_spins: int, hamiltonian: str, w: float, hx : list[float], hz: list[float]) -> SparsePauliOp: + """ + Construct the Hamiltonian based on the specified method. + + Args: + n_spins (int): Number of spins (qubits). + hamiltonian (str): Which hamiltonian to run. "Heisenberg" by default but can also choose "TFIM". + w (float): Strength of two-qubit interactions for heisenberg hamiltonian. + hx (list[float]): Strength of internal disorder parameter for heisenberg hamiltonian. + hz (list[float]): Strength of internal disorder parameter for heisenberg hamiltonian. + + Returns: + SparsePauliOp: The constructed Hamiltonian. + """ + + hamiltonian = hamiltonian.strip().lower() + + if hamiltonian == "heisenberg": + return construct_heisenberg_hamiltonian(n_spins, w, hx, hz) + elif hamiltonian == "tfim": + return construct_TFIM_hamiltonian(n_spins) + else: + raise ValueError("Invalid Hamiltonian specification.") + +def HamiltonianSimulationExact(n_spins: int, t: float, init_state: str, hamiltonian: str, w: float, hx: list[float], hz: list[float]) -> dict: + """ + Perform exact Hamiltonian simulation using classical matrix evolution. + + Args: + n_spins (int): Number of spins (qubits). + t (float): Duration of simulation. + init_state (str): The chosen initial state. By default applies the checkerboard state, but can also be set to "ghz", the GHZ state. + hamiltonian (str): Which hamiltonian to run. "Heisenberg" by default but can also choose "TFIM". + w (float): Strength of two-qubit interactions for heisenberg hamiltonian. + hx (list[float]): Strength of internal disorder parameter for heisenberg hamiltonian. + hz (list[float]): Strength of internal disorder parameter for heisenberg hamiltonian. + + Returns: + dict: The distribution of the evolved state. + """ + hamiltonian_sparse = construct_hamiltonian(n_spins, hamiltonian, w, hx, hz) + time_problem = TimeEvolutionProblem(hamiltonian_sparse, t, initial_state=initial_state(n_spins, init_state)) + result = SciPyRealEvolver(num_timesteps=1).evolve(time_problem) + return result.evolved_state.probabilities_dict() diff --git a/hamiltonian-simulation/_common/precalculated_data.ipynb b/hamiltonian-simulation/_common/precalculated_data.ipynb index 185c4e73..6b21ac69 100644 --- a/hamiltonian-simulation/_common/precalculated_data.ipynb +++ b/hamiltonian-simulation/_common/precalculated_data.ipynb @@ -16,200 +16,25 @@ "sys.path[1:1] = [\"_common\", \"_common/qiskit\"]\n", "sys.path[1:1] = [\"../../_common\", \"../../_common/qiskit\"]\n", "sys.path[1:1] = [\"../qiskit\"]\n", - "from qiskit import QuantumCircuit, QuantumRegister, ClassicalRegister\n", - "import time\n", - "import math\n", - "import numpy as np\n", - "np.random.seed(0)\n", "import execute as ex\n", "import metrics as metrics\n", - "from collections import defaultdict" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "ExecuteTime": { - "end_time": "2024-05-06T16:26:37.422103Z", - "start_time": "2024-05-06T16:26:37.330344Z" - } - }, - "outputs": [], - "source": [ + "from hamiltonian_simulation_benchmark import HamiltonianSimulation\n", + "from hamiltonian_simulation_exact import HamiltonianSimulationExact\n", + "\n", + "from qiskit import QuantumCircuit, QuantumRegister, ClassicalRegister\n", "from qiskit.quantum_info import SparsePauliOp\n", "from qiskit_algorithms import TimeEvolutionProblem, SciPyRealEvolver\n", "\n", - "# Import the hamiltonian simualtion circuit from our qiskit benchmark. \n", - "from hamiltonian_simulation_benchmark import HamiltonianSimulation" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# The functions in this cell are used to exactly simulate the hamiltonian evolution using a classical matrix evolution. \n", - "\n", - "def initial_state(n_spins: int, initial_state: str = \"checker\") -> QuantumCircuit:\n", - " \"\"\"\n", - " Initialize the quantum state.\n", - "\n", - " Dev note: This function is copy/pasted from HamiltonianSimulation.\n", - " \n", - " Args:\n", - " n_spins (int): Number of spins (qubits).\n", - " initial_state (str): The chosen initial state. By default applies the checkerboard state, but can also be set to \"ghz\", the GHZ state.\n", - "\n", - " Returns:\n", - " QuantumCircuit: The initialized quantum circuit.\n", - " \"\"\"\n", - " qc = QuantumCircuit(n_spins)\n", - "\n", - " if initial_state.strip().lower() == \"checkerboard\" or initial_state.strip().lower() == \"neele\":\n", - " # Checkerboard state, or \"Neele\" state\n", - " for k in range(0, n_spins, 2):\n", - " qc.x([k])\n", - " elif initial_state.strip().lower() == \"ghz\":\n", - " # GHZ state: 1/sqrt(2) (|00...> + |11...>)\n", - " qc.h(0)\n", - " for k in range(1, n_spins):\n", - " qc.cx(k-1, k)\n", - "\n", - " return qc\n", - "\n", - "def construct_TFIM_hamiltonian(n_spins: int) -> SparsePauliOp:\n", - " \"\"\"\n", - " Construct the Transverse Field Ising Model (TFIM) Hamiltonian.\n", - "\n", - " Args:\n", - " n_spins (int): Number of spins (qubits).\n", - "\n", - " Returns:\n", - " SparsePauliOp: The Hamiltonian represented as a sparse Pauli operator.\n", - " \"\"\"\n", - " pauli_strings = []\n", - " coefficients = []\n", - " g = 0.2 # Strength of the transverse field\n", - "\n", - " # Pauli spin vector product terms\n", - " for i in range(n_spins):\n", - " x_term = 'I' * i + 'X' + 'I' * (n_spins - i - 1)\n", - " pauli_strings.append(x_term)\n", - " coefficients.append(g)\n", - "\n", - " identity_string = ['I'] * n_spins\n", - "\n", - " # ZZ operation on each pair of qubits in a linear chain\n", - " for j in range(2):\n", - " for i in range(j % 2, n_spins - 1, 2):\n", - " zz_term = identity_string.copy()\n", - " zz_term[i] = 'Z'\n", - " zz_term[(i + 1) % n_spins] = 'Z'\n", - " zz_term = ''.join(zz_term)\n", - " pauli_strings.append(zz_term)\n", - " coefficients.append(1.0)\n", - "\n", - " return SparsePauliOp.from_list(zip(pauli_strings, coefficients))\n", - "\n", - "def construct_heisenberg_hamiltonian(n_spins: int, w: int, hx: list[float], hz: list[float]) -> SparsePauliOp:\n", - " \"\"\"\n", - " Construct the Heisenberg Hamiltonian with disorder.\n", - "\n", - " Args:\n", - " n_spins (int): Number of spins (qubits).\n", - " w (float): Strength of two-qubit interactions for heisenberg hamiltonian. \n", - " hx (list[float]): Strength of internal disorder parameter for heisenberg hamiltonian. \n", - " hz (list[float]): Strength of internal disorder parameter for heisenberg hamiltonian. \n", - "\n", - " Returns:\n", - " SparsePauliOp: The Hamiltonian represented as a sparse Pauli operator.\n", - " \"\"\"\n", - "\n", - " pauli_strings = []\n", - " coefficients = []\n", - "\n", - " # Disorder terms\n", - " for i in range(n_spins):\n", - " x_term = 'I' * i + 'X' + 'I' * (n_spins - i - 1)\n", - " z_term = 'I' * i + 'Z' + 'I' * (n_spins - i - 1)\n", - " pauli_strings.append(x_term)\n", - " coefficients.append(w * hx[i])\n", - " pauli_strings.append(z_term)\n", - " coefficients.append(w * hz[i])\n", - "\n", - " identity_string = ['I'] * n_spins\n", - "\n", - " # Interaction terms\n", - " for j in range(2):\n", - " for i in range(j % 2, n_spins - 1, 2):\n", - " xx_term = identity_string.copy()\n", - " yy_term = identity_string.copy()\n", - " zz_term = identity_string.copy()\n", - "\n", - " xx_term[i] = 'X'\n", - " xx_term[(i + 1) % n_spins] = 'X'\n", - "\n", - " yy_term[i] = 'Y'\n", - " yy_term[(i + 1) % n_spins] = 'Y'\n", - "\n", - " zz_term[i] = 'Z'\n", - " zz_term[(i + 1) % n_spins] = 'Z'\n", - "\n", - " pauli_strings.append(''.join(xx_term))\n", - " coefficients.append(1.0)\n", - " pauli_strings.append(''.join(yy_term))\n", - " coefficients.append(1.0)\n", - " pauli_strings.append(''.join(zz_term))\n", - " coefficients.append(1.0)\n", - "\n", - " return SparsePauliOp.from_list(zip(pauli_strings, coefficients))\n", - "\n", - "def construct_hamiltonian(n_spins: int, hamiltonian: str, w: float, hx : list[float], hz: list[float]) -> SparsePauliOp:\n", - " \"\"\"\n", - " Construct the Hamiltonian based on the specified method.\n", - "\n", - " Args:\n", - " n_spins (int): Number of spins (qubits).\n", - " hamiltonian (str): Which hamiltonian to run. \"Heisenberg\" by default but can also choose \"TFIM\". \n", - " w (float): Strength of two-qubit interactions for heisenberg hamiltonian. \n", - " hx (list[float]): Strength of internal disorder parameter for heisenberg hamiltonian. \n", - " hz (list[float]): Strength of internal disorder parameter for heisenberg hamiltonian. \n", - "\n", - " Returns:\n", - " SparsePauliOp: The constructed Hamiltonian.\n", - " \"\"\"\n", - "\n", - " hamiltonian = hamiltonian.strip().lower()\n", - "\n", - " if hamiltonian == \"heisenberg\":\n", - " return construct_heisenberg_hamiltonian(n_spins, w, hx, hz)\n", - " elif hamiltonian == \"tfim\":\n", - " return construct_TFIM_hamiltonian(n_spins)\n", - " else:\n", - " raise ValueError(\"Invalid Hamiltonian specification.\")\n", + "import time\n", + "import math\n", + "import numpy as np\n", "\n", - "def HamiltonianSimulationExact(n_spins: int, t: float, init_state: str, hamiltonian: str, w: float, hx: list[float], hz: list[float]) -> dict:\n", - " \"\"\"\n", - " Perform exact Hamiltonian simulation using classical matrix evolution.\n", + "import execute as ex\n", + "import metrics as metrics\n", "\n", - " Args:\n", - " n_spins (int): Number of spins (qubits).\n", - " t (float): Duration of simulation.\n", - " init_state (str): The chosen initial state. By default applies the checkerboard state, but can also be set to \"ghz\", the GHZ state.\n", - " hamiltonian (str): Which hamiltonian to run. \"Heisenberg\" by default but can also choose \"TFIM\". \n", - " w (float): Strength of two-qubit interactions for heisenberg hamiltonian. \n", - " hx (list[float]): Strength of internal disorder parameter for heisenberg hamiltonian. \n", - " hz (list[float]): Strength of internal disorder parameter for heisenberg hamiltonian. \n", + "from collections import defaultdict\n", "\n", - " Returns:\n", - " dict: The distribution of the evolved state.\n", - " \"\"\"\n", - " hamiltonian_sparse = construct_hamiltonian(n_spins, hamiltonian, w, hx, hz)\n", - " time_problem = TimeEvolutionProblem(hamiltonian_sparse, t, initial_state=initial_state(n_spins, init_state))\n", - " result = SciPyRealEvolver(num_timesteps=1).evolve(time_problem)\n", - " return result.evolved_state.probabilities_dict()" + "np.random.seed(0)" ] }, { @@ -228,6 +53,7 @@ "from qiskit_aer import Aer\n", "from qiskit import transpile\n", "\n", + "# Parameters for the Heisenberg Hamiltonian simulation\n", "w = 1 \n", "k = 5\n", "t = .2 # Heisenberg state evolves \"just\" enough \n", @@ -235,8 +61,10 @@ "min_qubits = 2\n", "max_qubits = 12\n", "\n", + "# Backend for simulation\n", "backend = Aer.get_backend(\"qasm_simulator\")\n", "\n", + "# Dictionary to store precalculated data\n", "precalculated_data = {}\n", "\n", "# store parameters in precalculated data\n", @@ -250,8 +78,10 @@ "np.random.seed(75)\n", "precalculated_data['hz'] = list(2 * np.random.random(20) - 1) # random numbers between [-1, 1]\n", "\n", + "# Number of shots for the (close to) perfect circuit simulation\n", "num_shots = 100000\n", "\n", + "# Generate precalculated data for each number of qubits\n", "for n_spins in range(min_qubits, max_qubits+1):\n", "\n", " print(f\"Now running n_spins {n_spins}\")\n", @@ -259,36 +89,40 @@ " hx = precalculated_data['hx'][:n_spins]\n", " hz = precalculated_data['hz'][:n_spins]\n", "\n", + " # Initialize the Hamiltonian simulation circuits\n", " qc = HamiltonianSimulation(n_spins, k, t, hamiltonian=\"heisenberg\", w=w, hx = hx, hz = hz)\n", + " qc2 = HamiltonianSimulation(n_spins, k, t, hamiltonian=\"tfim\", w=w, hx = hx, hz = hz)\n", "\n", - " qc3 = HamiltonianSimulation(n_spins, k, t, hamiltonian=\"tfim\", w=w, hx = hx, hz = hz)\n", - "\n", + " # Transpile and run the circuits\n", " transpiled_qc = transpile(qc, backend, optimization_level=0)\n", " job = backend.run(transpiled_qc, shots=num_shots)\n", " result = job.result()\n", " counts = result.get_counts(qc)\n", "\n", - " transpiled_qc3 = transpile(qc3, backend, optimization_level=0)\n", - " job3 = backend.run(transpiled_qc3, shots=num_shots)\n", - " result3 = job3.result()\n", - " counts3 = result3.get_counts()\n", + " transpiled_qc2 = transpile(qc2, backend, optimization_level=0)\n", + " job2 = backend.run(transpiled_qc2, shots=num_shots)\n", + " result2 = job2.result()\n", + " counts2 = result2.get_counts()\n", "\n", + " # Normalize probabilities for Heisenberg model circuit \n", " dist = {}\n", " for key in counts.keys():\n", " prob = counts[key] / num_shots\n", " dist[key] = prob\n", "\n", - " dist3 = {}\n", - " for key in counts3.keys():\n", - " prob = counts3[key] / num_shots\n", - " dist3[key] = prob\n", + " # Normalize probabilities for TFIM model circuit\n", + " dist2 = {}\n", + " for key in counts2.keys():\n", + " prob = counts2[key] / num_shots\n", + " dist2[key] = prob\n", "\n", " # add dist values to precalculated data for use in fidelity calculation\n", " precalculated_data[f\"Heisenberg - Qubits{n_spins}\"] = dist \n", " precalculated_data[f\"Exact Heisenberg - Qubits{n_spins}\"] = HamiltonianSimulationExact(n_spins, t=t, init_state = \"checkerboard\", hamiltonian=\"heisenberg\", w=w, hx = hx, hz = hz)\n", - " precalculated_data[f\"TFIM - Qubits{n_spins}\"] = dist3 \n", + " precalculated_data[f\"TFIM - Qubits{n_spins}\"] = dist2\n", " precalculated_data[f\"Exact TFIM - Qubits{n_spins}\"] = HamiltonianSimulationExact(n_spins, t=t, init_state = \"ghz\", hamiltonian=\"tfim\", w=w, hx = hx, hz = hz) \n", "\n", + "# Save precalculated data to a JSON file\n", "# https://stackoverflow.com/questions/36021332/how-to-prettyprint-human-readably-print-a-python-dict-in-json-format-double-q\n", "with open('precalculated_data.json', 'w') as f:\n", " f.write(json.dumps(\n", @@ -298,6 +132,13 @@ " separators=(',', ': ')\n", " ))" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/hamiltonian-simulation/_common/precalculated_data.json b/hamiltonian-simulation/_common/precalculated_data.json index 102fc734..ee4ad01d 100644 --- a/hamiltonian-simulation/_common/precalculated_data.json +++ b/hamiltonian-simulation/_common/precalculated_data.json @@ -8210,10814 +8210,10815 @@ "111111111": 7.078551780234473e-14 }, "Exact TFIM - Qubits10": { - "0000000000": 0.4924121375146698, - "0000000001": 0.0007781709310813996, - "0000000010": 0.0007473621649840448, - "0000000011": 1.2352928374832666e-06, - "0000000100": 0.0007473317308040635, - "0000000101": 1.1810779929222402e-06, - "0000000110": 1.2187425826518359e-06, - "0000000111": 1.957426361344795e-09, - "0000001000": 0.0007473317332281632, - "0000001001": 1.181026585560368e-06, - "0000001010": 1.134316833371379e-06, - "0000001011": 1.8748881548593e-09, - "0000001100": 1.2186921587750976e-06, - "0000001101": 1.926022319102849e-09, - "0000001110": 1.931663299295617e-09, - "0000001111": 3.0922231935393924e-12, - "0000010000": 0.000747331733228478, - "0000010001": 1.1810265894844387e-06, - "0000010010": 1.1342682559050984e-06, - "0000010011": 1.87480672566928e-09, - "0000010100": 1.134270641067497e-06, - "0000010101": 1.792601400706363e-09, - "0000010110": 1.8497698206590296e-09, - "0000010111": 2.9618187459587535e-12, - "0000011000": 1.2186921622464542e-06, - "0000011001": 1.9259373407447697e-09, - "0000011010": 1.8497686154688502e-09, - "0000011011": 3.0482066312059444e-12, - "0000011100": 1.931583912111808e-09, - "0000011101": 3.043450425181268e-12, - "0000011110": 3.0506878383760555e-12, - "0000011111": 1.965964516011175e-14, - "0000100000": 0.000747331733228478, - "0000100001": 1.1810265894854227e-06, - "0000100010": 1.1342682601240562e-06, - "0000100011": 1.874806738137445e-09, - "0000100100": 1.1342220660775008e-06, - "0000100101": 1.792524740623594e-09, - "0000100110": 1.8496889840629936e-09, - "0000100111": 2.9615607678646142e-12, - "0000101000": 1.1342706447466635e-06, - "0000101001": 1.7925234841230877e-09, - "0000101010": 1.7216295198332486e-09, - "0000101011": 2.8369267251544928e-12, - "0000101100": 1.8496932970013231e-09, - "0000101101": 2.914418736878548e-12, - "0000101110": 2.9225408188308646e-12, - "0000101111": 1.883055084551794e-14, - "0000110000": 1.2186921622470192e-06, - "0000110001": 1.9259373527072042e-09, - "0000110010": 1.849687778123604e-09, - "0000110011": 3.047940995310379e-12, - "0000110100": 1.8496932962703829e-09, - "0000110101": 2.914416827687698e-12, - "0000110110": 3.0070680648688378e-12, - "0000110111": 1.9103300875351972e-14, - "0000111000": 1.931583917617074e-09, - "0000111001": 3.0431858586874924e-12, - "0000111010": 2.9225397039453817e-12, - "0000111011": 1.9105603234096692e-14, - "0000111100": 3.0505535211252128e-12, - "0000111101": 1.9087081613208563e-14, - "0000111110": 1.9415648658678354e-14, - "0000111111": 3.0922231935393896e-12, - "0001000000": 0.0007473317332281632, - "0001000001": 1.1810265894849789e-06, - "0001000010": 1.1342682601245652e-06, - "0001000011": 1.8748067374873727e-09, - "0001000100": 1.1342220702957607e-06, - "0001000101": 1.7925247532690354e-09, - "0001000110": 1.8496889952685841e-09, - "0001000111": 2.961556966443388e-12, - "0001001000": 1.1342220697559896e-06, - "0001001001": 1.7924468296731438e-09, - "0001001010": 1.7215559053737016e-09, - "0001001011": 2.8366815084786486e-12, - "0001001100": 1.8496124638909217e-09, - "0001001101": 2.914165741677284e-12, - "0001001110": 2.922280955173293e-12, - "0001001111": 1.9103300875351972e-14, - "0001010000": 1.1342706447466635e-06, - "0001010001": 1.7925234960582302e-09, - "0001010010": 1.721555904617618e-09, - "0001010011": 2.83667961574905e-12, - "0001010100": 1.7215594183465748e-09, - "0001010101": 2.7124093789719975e-12, - "0001010110": 2.7986345642283365e-12, - "0001010111": 1.8036421628709304e-14, - "0001011000": 1.8496933023087989e-09, - "0001011001": 2.9141645283288353e-12, - "0001011010": 2.7986353726965112e-12, - "0001011011": 1.8297732262632687e-14, - "0001011100": 2.9224121240995762e-12, - "0001011101": 1.8283736585394564e-14, - "0001011110": 1.8596881813860176e-14, - "0001011111": 2.9618187459587506e-12, - "0001100000": 1.2186921622464542e-06, - "0001100001": 1.925937352047854e-09, - "0001100010": 1.8496877893291629e-09, - "0001100011": 3.0479371450701635e-12, - "0001100100": 1.849612463160001e-09, - "0001100101": 2.9141638301150038e-12, - "0001100110": 3.0067997869425222e-12, - "0001100111": 1.9377993965011302e-14, - "0001101000": 1.8496933023087989e-09, - "0001101001": 2.914164526022911e-12, - "0001101010": 2.7986327357672215e-12, - "0001101011": 1.8297720192036173e-14, - "0001101100": 3.0069349545682176e-12, - "0001101101": 1.854816962680159e-14, - "0001101110": 1.886610125718454e-14, - "0001101111": 2.9615607678646114e-12, - "0001110000": 1.931583917617074e-09, - "0001110001": 3.0431820025191397e-12, - "0001110010": 2.9222798390001452e-12, - "0001110011": 1.9380306838129093e-14, - "0001110100": 2.922412122883926e-12, - "0001110101": 1.828372701636858e-14, - "0001110110": 1.886610378940995e-14, - "0001110111": 2.9615569664433853e-12, - "0001111000": 3.050553533008245e-12, - "0001111001": 1.9361665051357693e-14, - "0001111010": 1.8596876565868313e-14, - "0001111011": 2.9615577390196225e-12, - "0001111100": 1.94326297340359e-14, - "0001111101": 2.961686979793204e-12, - "0001111110": 3.084381265070097e-12, - "0001111111": 1.9574263613447945e-09, - "0010000000": 0.0007473317308040635, - "0010000001": 1.181026585654209e-06, - "0010000010": 1.1342682564454963e-06, - "0010000011": 1.874806731303991e-09, - "0010000100": 1.1342220666177823e-06, - "0010000101": 1.7925247467744313e-09, - "0010000110": 1.8496889885212768e-09, - "0010000111": 2.9615577390196237e-12, - "0010001000": 1.1342220702957607e-06, - "0010001001": 1.7924468365379713e-09, - "0010001010": 1.7215559109129896e-09, - "0010001011": 2.8366778785115113e-12, - "0010001100": 1.84961246906131e-09, - "0010001101": 2.914162068652368e-12, - "0010001110": 2.9222784838315536e-12, - "0010001111": 1.9105603234096692e-14, - "0010010000": 1.1342220660775008e-06, - "0010010001": 1.7924468358277233e-09, - "0010010010": 1.7214822900415119e-09, - "0010010011": 2.8364326739691433e-12, - "0010010100": 1.7214858013724539e-09, - "0010010101": 2.7121748223342567e-12, - "0010010110": 2.7983875421349643e-12, - "0010010111": 1.8297732262632687e-14, - "0010011000": 1.849612463160001e-09, - "0010011001": 2.9139097815745566e-12, - "0010011010": 2.7983857160395633e-12, - "0010011011": 1.8560900012627363e-14, - "0010011100": 2.9221521355121816e-12, - "0010011101": 1.8546804286143196e-14, - "0010011110": 1.8868095303211726e-14, - "0010011111": 3.048206631205943e-12, - "0010100000": 1.134270641067497e-06, - "0010100001": 1.7925234895636446e-09, - "0010100010": 1.7215559101569066e-09, - "0010100011": 2.836675983524257e-12, - "0010100100": 1.7214858013724539e-09, - "0010100101": 2.712174819938991e-12, - "0010100110": 2.7983849051924123e-12, - "0010100111": 1.8297720192036183e-14, - "0010101000": 1.7215594183465748e-09, - "0010101001": 2.7121729142712205e-12, - "0010101010": 2.604644401026534e-12, - "0010101011": 1.7275873721726117e-14, - "0010101100": 2.7985105511881988e-12, - "0010101101": 1.7510652338082792e-14, - "0010101110": 1.7814194623032802e-14, - "0010101111": 2.8369267251544916e-12, - "0010110000": 1.8496932962703829e-09, - "0010110001": 2.9141608541231693e-12, - "0010110010": 2.798385714779448e-12, - "0010110011": 1.856089043088553e-14, - "0010110100": 2.7985131868703538e-12, - "0010110101": 1.7510654864776125e-14, - "0010110110": 1.80671149384483e-14, - "0010110111": 2.8366815084786466e-12, - "0010111000": 2.922412122883926e-12, - "0010111001": 1.8546800466585192e-14, - "0010111010": 1.7814201460041147e-14, - "0010111011": 2.8366778785115105e-12, - "0010111100": 1.8613217211664382e-14, - "0010111101": 2.8368023765182193e-12, - "0010111110": 2.954323059364388e-12, - "0010111111": 1.8748881548592975e-09, - "0011000000": 1.2186921587750976e-06, - "0011000001": 1.92593734645851e-09, - "0011000010": 1.8496877833128086e-09, - "0011000011": 3.0479379299764903e-12, - "0011000100": 1.84961246906131e-09, - "0011000101": 2.9141601582133145e-12, - "0011000110": 3.0067972982117047e-12, - "0011000111": 1.9380306838129093e-14, - "0011001000": 1.8496124638909217e-09, - "0011001001": 2.913909780373665e-12, - "0011001010": 2.798383077958036e-12, - "0011001011": 1.856089043088553e-14, - "0011001100": 3.0066665509221406e-12, - "0011001101": 1.8813114658744135e-14, - "0011001110": 1.913923734847487e-14, - "0011001111": 3.0479409953103765e-12, - "0011010000": 1.8496932970013231e-09, - "0011010001": 2.914160855229133e-12, - "0011010010": 2.798385713623087e-12, - "0011010011": 1.856089297971707e-14, - "0011010100": 2.7985105511881976e-12, - "0011010101": 1.751064076890194e-14, - "0011010110": 1.806710300820843e-14, - "0011010111": 2.836679615749048e-12, - "0011011000": 3.0069349545682176e-12, - "0011011001": 1.881312301927356e-14, - "0011011010": 1.80671072858407e-14, - "0011011011": 2.8364326739691417e-12, - "0011011100": 1.888254646649955e-14, - "0011011101": 2.8365528493787358e-12, - "0011011110": 2.9540732731471542e-12, - "0011011111": 1.8748067256692787e-09, - "0011100000": 1.931583912111808e-09, - "0011100001": 3.0431827867727584e-12, - "0011100010": 2.922277368892484e-12, - "0011100011": 1.938263091906517e-14, - "0011100100": 2.9221521355121816e-12, - "0011100101": 1.854679722307908e-14, - "0011100110": 1.9139239898917246e-14, - "0011100111": 3.047937145070162e-12, - "0011101000": 2.9224121240995762e-12, - "0011101001": 1.8546803014129192e-14, - "0011101010": 1.781418952382277e-14, - "0011101011": 2.8366759835242542e-12, - "0011101100": 1.888254646649955e-14, - "0011101101": 2.836552847102899e-12, - "0011101110": 2.954067550110003e-12, - "0011101111": 1.874806738137443e-09, - "0011110000": 3.0505535211252128e-12, - "0011110001": 1.9363984819781177e-14, - "0011110010": 1.88680900214822e-14, - "0011110011": 3.047937929976488e-12, - "0011110100": 1.8613217211664382e-14, - "0011110101": 2.8368004826549997e-12, - "0011110110": 2.9540732720030192e-12, - "0011110111": 1.8748067374873703e-09, - "0011111000": 1.94326297340359e-14, - "0011111001": 3.0480728082245494e-12, - "0011111010": 2.954323167079764e-12, - "0011111011": 1.8748067313039896e-09, - "0011111100": 3.089943509201861e-12, - "0011111101": 1.874883072665163e-09, - "0011111110": 1.9521711254322906e-09, - "0011111111": 1.2352928374832658e-06, - "0100000000": 0.0007473621649840448, - "0100000001": 1.1810746815386818e-06, - "0100000010": 1.134314448154175e-06, - "0100000011": 1.874883072665165e-09, - "0100000100": 1.1342682564454963e-06, - "0100000101": 1.7925977375937883e-09, - "0100000110": 1.8497643065715572e-09, - "0100000111": 2.9616869797932067e-12, - "0100001000": 1.1342682601245652e-06, - "0100001001": 1.7925198234876581e-09, - "0100001010": 1.7216260107270769e-09, - "0100001011": 2.836802376518221e-12, - "0100001100": 1.8496877833128086e-09, - "0100001101": 2.914289845573088e-12, - "0100001110": 2.922406968859114e-12, - "0100001111": 1.9087081613208563e-14, - "0100010000": 1.1342682601240562e-06, - "0100010001": 1.7925198361330845e-09, - "0100010010": 1.7215523986516198e-09, - "0100010011": 2.836552849378737e-12, - "0100010100": 1.7215559101569066e-09, - "0100010101": 2.712289682931317e-12, - "0100010110": 2.7985074791533568e-12, - "0100010111": 1.8283736585394564e-14, - "0100011000": 1.8496877893291629e-09, - "0100011001": 2.9140331834382436e-12, - "0100011010": 2.7985056507687225e-12, - "0100011011": 1.8546804286143196e-14, - "0100011100": 2.922277368892484e-12, - "0100011101": 1.853272289539121e-14, - "0100011110": 1.885234762023107e-14, - "0100011111": 3.0434504251812674e-12, - "0100100000": 1.1342682559050984e-06, - "0100100001": 1.7925198227773958e-09, - "0100100010": 1.7215523986516198e-09, - "0100100011": 2.8365528471029e-12, - "0100100100": 1.7214822900415119e-09, - "0100100101": 2.7120570377625757e-12, - "0100100110": 2.7982584840345387e-12, - "0100100111": 1.854816962680159e-14, - "0100101000": 1.721555904617618e-09, - "0100101001": 2.712055129733925e-12, - "0100101010": 2.6045267299990524e-12, - "0100101011": 1.7510652338082792e-14, - "0100101100": 2.798385713623087e-12, - "0100101101": 1.7747022129436262e-14, - "0100101110": 1.8058017922285044e-14, - "0100101111": 2.914418736878546e-12, - "0100110000": 1.849687778123604e-09, - "0100110001": 2.914033182239896e-12, - "0100110010": 2.79825665675591e-12, - "0100110011": 1.8813114658744135e-14, - "0100110100": 2.798385714779448e-12, - "0100110101": 1.7747007966015944e-14, - "0100110110": 1.831263434015456e-14, - "0100110111": 2.9141657416772825e-12, - "0100111000": 2.9222798390001452e-12, - "0100111001": 1.8798928445672285e-14, - "0100111010": 1.8058010250357822e-14, - "0100111011": 2.9141620686523668e-12, - "0100111100": 1.88680900214822e-14, - "0100111101": 2.9142898455730865e-12, - "0100111110": 3.0350116277466473e-12, - "0100111111": 1.9260223191028477e-09, - "0101000000": 1.134316833371379e-06, - "0101000001": 1.79259648111908e-09, - "0101000010": 1.7216260107270769e-09, - "0101000011": 2.8368004826550013e-12, - "0101000100": 1.7215559109129896e-09, - "0101000101": 2.712289681703845e-12, - "0101000110": 2.798504841084814e-12, - "0101000111": 1.828372701636858e-14, - "0101001000": 1.7215559053737016e-09, - "0101001001": 2.712055130901717e-12, - "0101001010": 2.604526728811223e-12, - "0101001011": 1.7510654864776125e-14, - "0101001100": 2.7983830779580364e-12, - "0101001101": 1.7747007966015944e-14, - "0101001110": 1.805800590488875e-14, - "0101001111": 2.9144168276876966e-12, - "0101010000": 1.7216295198332486e-09, - "0101010001": 2.7122877749316282e-12, - "0101010010": 2.6045267299990524e-12, - "0101010011": 1.751064076890194e-14, - "0101010100": 2.604644401026534e-12, - "0101010101": 1.6518327454261053e-14, - "0101010110": 1.7044796179851404e-14, - "0101010111": 2.712409378971996e-12, - "0101011000": 2.7986327357672223e-12, - "0101011001": 1.774700171813298e-14, - "0101011010": 1.704480267521365e-14, - "0101011011": 2.7121748223342547e-12, - "0101011100": 1.781418952382277e-14, - "0101011101": 2.712289682931316e-12, - "0101011110": 2.8246532878510287e-12, - "0101011111": 1.7926014007063608e-09, - "0101100000": 1.8497686154688502e-09, - "0101100001": 2.914288632308352e-12, - "0101100010": 2.7985056507687225e-12, - "0101100011": 1.854679722307908e-14, - "0101100100": 2.7983857160395633e-12, - "0101100101": 1.774701050976711e-14, - "0101100110": 1.8312622328786116e-14, - "0101100111": 2.9141638301150025e-12, - "0101101000": 2.7986353726965112e-12, - "0101101001": 1.7747018425248576e-14, - "0101101010": 1.704480267521365e-14, - "0101101011": 2.712174819938989e-12, - "0101101100": 1.80671072858407e-14, - "0101101101": 2.7120570377625745e-12, - "0101101110": 2.8244155920024714e-12, - "0101101111": 1.7925247406235928e-09, - "0101110000": 2.9225397039453817e-12, - "0101110001": 1.8532719055362224e-14, - "0101110010": 1.8058010250357822e-14, - "0101110011": 2.9141601582133124e-12, - "0101110100": 1.7814201460041153e-14, - "0101110101": 2.7122896817038442e-12, - "0101110110": 2.8244155930747317e-12, - "0101110111": 1.7925247532690341e-09, - "0101111000": 1.8596876565868313e-14, - "0101111001": 2.9142898410920136e-12, - "0101111010": 2.82465527532187e-12, - "0101111011": 1.7925247467744297e-09, - "0101111100": 2.9543231670797643e-12, - "0101111101": 1.7925977375937865e-09, - "0101111110": 1.866493752344706e-09, - "0101111111": 1.1810779929222387e-06, - "0110000000": 1.2187425826518359e-06, - "0110000001": 1.926017024882181e-09, - "0110000010": 1.8497643065715572e-09, - "0110000011": 3.0480728082245518e-12, - "0110000100": 1.8496889885212768e-09, - "0110000101": 2.9142898410920165e-12, - "0110000110": 3.006931327032565e-12, - "0110000111": 1.9361665051357693e-14, - "0110001000": 1.8496889952685841e-09, - "0110001001": 2.914035088227967e-12, - "0110001010": 2.798504841084813e-12, - "0110001011": 1.8546800466585183e-14, - "0110001100": 3.0067972982117047e-12, - "0110001101": 1.8798928445672285e-14, - "0110001110": 1.9123376861281236e-14, - "0110001111": 3.0431858586874903e-12, - "0110010000": 1.8496889840629936e-09, - "0110010001": 2.9140350893364726e-12, - "0110010010": 2.798258484034538e-12, - "0110010011": 1.881312301927356e-14, - "0110010100": 2.7983849051924127e-12, - "0110010101": 1.774700171813298e-14, - "0110010110": 1.831263258981074e-14, - "0110010111": 2.914164528328834e-12, - "0110011000": 3.0067997869425222e-12, - "0110011001": 1.9067049878835564e-14, - "0110011010": 1.8312622328786116e-14, - "0110011011": 2.913909781574554e-12, - "0110011100": 1.9139239898917246e-14, - "0110011101": 2.9140331834382416e-12, - "0110011110": 3.0347545320893203e-12, - "0110011111": 1.925937340744768e-09, - "0110100000": 1.8497698206590296e-09, - "0110100001": 2.914290538232176e-12, - "0110100010": 2.798507479153356e-12, - "0110100011": 1.8546803014129192e-14, - "0110100100": 2.7983875421349635e-12, - "0110100101": 1.7747018425248576e-14, - "0110100110": 1.831263258981074e-14, - "0110100111": 2.914164526022909e-12, - "0110101000": 2.7986345642283357e-12, - "0110101001": 1.774700963357533e-14, - "0110101010": 1.7044796179851398e-14, - "0110101011": 2.71217291427122e-12, - "0110101100": 1.806710300820843e-14, - "0110101101": 2.712055129733923e-12, - "0110101110": 2.8244136032290834e-12, - "0110101111": 1.7925234841230858e-09, - "0110110000": 3.0070680648688378e-12, - "0110110001": 1.8798934248254046e-14, - "0110110010": 1.831263434015456e-14, - "0110110011": 2.9139097803736633e-12, - "0110110100": 1.8067114938448305e-14, - "0110110101": 2.712055130901715e-12, - "0110110110": 2.824179847591262e-12, - "0110110111": 1.7924468296731422e-09, - "0110111000": 1.8866103789409962e-14, - "0110111001": 2.9140350882279653e-12, - "0110111010": 2.8244155930747317e-12, - "0110111011": 1.7924468365379697e-09, - "0110111100": 2.9540732720030197e-12, - "0110111101": 1.7925198234876558e-09, - "0110111110": 1.8664126131897373e-09, - "0110111111": 1.1810265855603671e-06, - "0111000000": 1.931663299295617e-09, - "0111000001": 3.043316632677495e-12, - "0111000010": 2.922406968859114e-12, - "0111000011": 1.9363984819781177e-14, - "0111000100": 2.9222784838315536e-12, - "0111000101": 1.8532719055362224e-14, - "0111000110": 1.9123376861281236e-14, - "0111000111": 3.0431820025191377e-12, - "0111001000": 2.922280955173293e-12, - "0111001001": 1.8798934248254046e-14, - "0111001010": 1.805800590488875e-14, - "0111001011": 2.9141608541231672e-12, - "0111001100": 1.913923734847486e-14, - "0111001101": 2.914033182239893e-12, - "0111001110": 3.034748738374868e-12, - "0111001111": 1.9259373527072026e-09, - "0111010000": 2.9225408188308646e-12, - "0111010001": 1.85327223085717e-14, - "0111010010": 1.8058017922285044e-14, - "0111010011": 2.9141608552291303e-12, - "0111010100": 1.7814194623032802e-14, - "0111010101": 2.7122877749316262e-12, - "0111010110": 2.8244136032290834e-12, - "0111010111": 1.7925234960582286e-09, - "0111011000": 1.886610125718454e-14, - "0111011001": 2.9140350893364706e-12, - "0111011010": 2.8244155920024714e-12, - "0111011011": 1.7924468358277222e-09, - "0111011100": 2.9540675501100045e-12, - "0111011101": 1.7925198361330827e-09, - "0111011110": 1.866412626677127e-09, - "0111011111": 1.1810265894844383e-06, - "0111100000": 3.050687838376055e-12, - "0111100001": 1.9345346832070177e-14, - "0111100010": 1.885234762023107e-14, - "0111100011": 3.0431827867727567e-12, - "0111100100": 1.8868095303211726e-14, - "0111100101": 2.91428863230835e-12, - "0111100110": 3.0347545320893203e-12, - "0111100111": 1.9259373520478528e-09, - "0111101000": 1.8596881813860176e-14, - "0111101001": 2.914290538232174e-12, - "0111101010": 2.8246532878510287e-12, - "0111101011": 1.792523489563643e-09, - "0111101100": 2.954073273147155e-12, - "0111101101": 1.7925198227773933e-09, - "0111101110": 1.866412626677127e-09, - "0111101111": 1.1810265894854223e-06, - "0111110000": 1.9415648658678354e-14, - "0111110001": 3.0433166326774923e-12, - "0111110010": 3.0350116277466473e-12, - "0111110011": 1.925937346458508e-09, - "0111110100": 2.954323059364388e-12, - "0111110101": 1.792596481119079e-09, - "0111110110": 1.8664126131897373e-09, - "0111110111": 1.1810265894849778e-06, - "0111111000": 3.084381265070097e-12, - "0111111001": 1.92601702488218e-09, - "0111111010": 1.866493752344706e-09, - "0111111011": 1.1810265856542082e-06, - "0111111100": 1.952171125432291e-09, - "0111111101": 1.181074681538681e-06, - "0111111110": 1.2297625281399642e-06, - "0111111111": 0.0007781709310813991, - "1000000000": 0.0007781709310813996, - "1000000001": 1.229762528139965e-06, - "1000000010": 1.1810746815386818e-06, - "1000000011": 1.9521711254322923e-09, - "1000000100": 1.181026585654209e-06, - "1000000101": 1.8664937523447077e-09, - "1000000110": 1.9260170248821816e-09, - "1000000111": 3.0843812650700988e-12, - "1000001000": 1.1810265894849789e-06, - "1000001001": 1.866412613189739e-09, - "1000001010": 1.79259648111908e-09, - "1000001011": 2.954323059364391e-12, - "1000001100": 1.92593734645851e-09, - "1000001101": 3.0350116277466497e-12, - "1000001110": 3.043316632677495e-12, - "1000001111": 1.9415648658678354e-14, - "1000010000": 1.1810265894854227e-06, - "1000010001": 1.8664126266771285e-09, - "1000010010": 1.7925198227773958e-09, - "1000010011": 2.9540732731471575e-12, - "1000010100": 1.7925234895636446e-09, - "1000010101": 2.8246532878510307e-12, - "1000010110": 2.914290538232177e-12, - "1000010111": 1.8596881813860176e-14, - "1000011000": 1.925937352047854e-09, - "1000011001": 3.034754532089323e-12, - "1000011010": 2.9142886323083537e-12, - "1000011011": 1.8868095303211726e-14, - "1000011100": 3.0431827867727584e-12, - "1000011101": 1.885234762023107e-14, - "1000011110": 1.9345346832070177e-14, - "1000011111": 3.050687838376052e-12, - "1000100000": 1.1810265894844387e-06, - "1000100001": 1.8664126266771285e-09, - "1000100010": 1.7925198361330845e-09, - "1000100011": 2.9540675501100053e-12, - "1000100100": 1.7924468358277233e-09, - "1000100101": 2.8244155920024742e-12, - "1000100110": 2.9140350893364734e-12, - "1000100111": 1.886610125718454e-14, - "1000101000": 1.7925234960582302e-09, - "1000101001": 2.824413603229087e-12, - "1000101010": 2.712287774931629e-12, - "1000101011": 1.7814194623032802e-14, - "1000101100": 2.914160855229134e-12, - "1000101101": 1.8058017922285044e-14, - "1000101110": 1.85327223085717e-14, - "1000101111": 2.9225408188308634e-12, - "1000110000": 1.9259373527072042e-09, - "1000110001": 3.0347487383748714e-12, - "1000110010": 2.914033182239897e-12, - "1000110011": 1.913923734847487e-14, - "1000110100": 2.9141608541231705e-12, - "1000110101": 1.805800590488875e-14, - "1000110110": 1.8798934248254046e-14, - "1000110111": 2.92228095517329e-12, - "1000111000": 3.0431820025191397e-12, - "1000111001": 1.9123376861281236e-14, - "1000111010": 1.853271905536223e-14, - "1000111011": 2.922278483831551e-12, - "1000111100": 1.9363984819781177e-14, - "1000111101": 2.9224069688591126e-12, - "1000111110": 3.0433166326774923e-12, - "1000111111": 1.931663299295616e-09, - "1001000000": 1.181026585560368e-06, - "1001000001": 1.866412613189739e-09, - "1001000010": 1.7925198234876581e-09, - "1001000011": 2.954073272003022e-12, - "1001000100": 1.7924468365379713e-09, - "1001000101": 2.8244155930747353e-12, - "1001000110": 2.914035088227968e-12, - "1001000111": 1.886610378940995e-14, - "1001001000": 1.7924468296731438e-09, - "1001001001": 2.8241798475912655e-12, - "1001001010": 2.712055130901717e-12, - "1001001011": 1.8067114938448305e-14, - "1001001100": 2.9139097803736657e-12, - "1001001101": 1.831263434015456e-14, - "1001001110": 1.8798934248254046e-14, - "1001001111": 3.007068064868834e-12, - "1001010000": 1.7925234841230877e-09, - "1001010001": 2.824413603229087e-12, - "1001010010": 2.7120551297339256e-12, - "1001010011": 1.806710300820843e-14, - "1001010100": 2.7121729142712225e-12, - "1001010101": 1.7044796179851404e-14, - "1001010110": 1.774700963357533e-14, - "1001010111": 2.7986345642283337e-12, - "1001011000": 2.914164526022911e-12, - "1001011001": 1.831263258981074e-14, - "1001011010": 1.7747018425248576e-14, - "1001011011": 2.7983875421349607e-12, - "1001011100": 1.8546803014129192e-14, - "1001011101": 2.7985074791533548e-12, - "1001011110": 2.914290538232174e-12, - "1001011111": 1.849769820659028e-09, - "1001100000": 1.9259373407447697e-09, - "1001100001": 3.034754532089323e-12, - "1001100010": 2.914033183438245e-12, - "1001100011": 1.9139239898917246e-14, - "1001100100": 2.9139097815745574e-12, - "1001100101": 1.8312622328786116e-14, - "1001100110": 1.9067049878835564e-14, - "1001100111": 3.00679978694252e-12, - "1001101000": 2.9141645283288353e-12, - "1001101001": 1.831263258981074e-14, - "1001101010": 1.774700171813298e-14, - "1001101011": 2.79838490519241e-12, - "1001101100": 1.881312301927356e-14, - "1001101101": 2.798258484034535e-12, - "1001101110": 2.9140350893364706e-12, - "1001101111": 1.8496889840629913e-09, - "1001110000": 3.0431858586874924e-12, - "1001110001": 1.9123376861281236e-14, - "1001110010": 1.8798928445672285e-14, - "1001110011": 3.006797298211703e-12, - "1001110100": 1.8546800466585192e-14, - "1001110101": 2.7985048410848116e-12, - "1001110110": 2.9140350882279653e-12, - "1001110111": 1.8496889952685823e-09, - "1001111000": 1.9361665051357687e-14, - "1001111001": 3.0069313270325616e-12, - "1001111010": 2.9142898410920136e-12, - "1001111011": 1.849688988521275e-09, - "1001111100": 3.0480728082245494e-12, - "1001111101": 1.849764306571555e-09, - "1001111110": 1.92601702488218e-09, - "1001111111": 1.2187425826518344e-06, - "1010000000": 1.1810779929222402e-06, - "1010000001": 1.8664937523447077e-09, - "1010000010": 1.7925977375937883e-09, - "1010000011": 2.9543231670797667e-12, - "1010000100": 1.7925247467744313e-09, - "1010000101": 2.824655275321872e-12, - "1010000110": 2.9142898410920165e-12, - "1010000111": 1.8596876565868313e-14, - "1010001000": 1.7925247532690354e-09, - "1010001001": 2.8244155930747353e-12, - "1010001010": 2.712289681703847e-12, - "1010001011": 1.7814201460041153e-14, - "1010001100": 2.914160158213316e-12, - "1010001101": 1.8058010250357822e-14, - "1010001110": 1.853271905536223e-14, - "1010001111": 2.9225397039453797e-12, - "1010010000": 1.792524740623594e-09, - "1010010001": 2.8244155920024742e-12, - "1010010010": 2.7120570377625765e-12, - "1010010011": 1.80671072858407e-14, - "1010010100": 2.7121748199389917e-12, - "1010010101": 1.704480267521365e-14, - "1010010110": 1.7747018425248576e-14, - "1010010111": 2.7986353726965092e-12, - "1010011000": 2.9141638301150054e-12, - "1010011001": 1.8312622328786116e-14, - "1010011010": 1.774701050976711e-14, - "1010011011": 2.798385716039561e-12, - "1010011100": 1.854679722307908e-14, - "1010011101": 2.79850565076872e-12, - "1010011110": 2.91428863230835e-12, - "1010011111": 1.849768615468849e-09, - "1010100000": 1.792601400706363e-09, - "1010100001": 2.8246532878510307e-12, - "1010100010": 2.712289682931319e-12, - "1010100011": 1.781418952382277e-14, - "1010100100": 2.712174822334257e-12, - "1010100101": 1.704480267521365e-14, - "1010100110": 1.774700171813298e-14, - "1010100111": 2.7986327357672195e-12, - "1010101000": 2.7124093789719995e-12, - "1010101001": 1.7044796179851398e-14, - "1010101010": 1.6518327454261053e-14, - "1010101011": 2.604644401026533e-12, - "1010101100": 1.751064076890194e-14, - "1010101101": 2.6045267299990504e-12, - "1010101110": 2.7122877749316262e-12, - "1010101111": 1.721629519833247e-09, - "1010110000": 2.9144168276876994e-12, - "1010110001": 1.805800590488875e-14, - "1010110010": 1.7747007966015944e-14, - "1010110011": 2.7983830779580332e-12, - "1010110100": 1.7510654864776125e-14, - "1010110101": 2.604526728811222e-12, - "1010110110": 2.712055130901715e-12, - "1010110111": 1.7215559053737004e-09, - "1010111000": 1.8283727016368586e-14, - "1010111001": 2.7985048410848116e-12, - "1010111010": 2.7122896817038442e-12, - "1010111011": 1.7215559109129884e-09, - "1010111100": 2.8368004826549997e-12, - "1010111101": 1.7216260107270752e-09, - "1010111110": 1.792596481119079e-09, - "1010111111": 1.134316833371378e-06, - "1011000000": 1.926022319102849e-09, - "1011000001": 3.0350116277466497e-12, - "1011000010": 2.9142898455730897e-12, - "1011000011": 1.886809002148221e-14, - "1011000100": 2.9141620686523696e-12, - "1011000101": 1.8058010250357822e-14, - "1011000110": 1.8798928445672285e-14, - "1011000111": 2.922279839000143e-12, - "1011001000": 2.914165741677285e-12, - "1011001001": 1.831263434015456e-14, - "1011001010": 1.7747007966015944e-14, - "1011001011": 2.798385714779446e-12, - "1011001100": 1.8813114658744135e-14, - "1011001101": 2.798256656755907e-12, - "1011001110": 2.914033182239893e-12, - "1011001111": 1.8496877781236023e-09, - "1011010000": 2.9144187368785488e-12, - "1011010001": 1.8058017922285044e-14, - "1011010010": 1.7747022129436262e-14, - "1011010011": 2.7983857136230848e-12, - "1011010100": 1.7510652338082792e-14, - "1011010101": 2.6045267299990504e-12, - "1011010110": 2.712055129733923e-12, - "1011010111": 1.721555904617617e-09, - "1011011000": 1.854816962680159e-14, - "1011011001": 2.798258484034535e-12, - "1011011010": 2.7120570377625745e-12, - "1011011011": 1.72148229004151e-09, - "1011011100": 2.836552847102899e-12, - "1011011101": 1.7215523986516181e-09, - "1011011110": 1.7925198227773933e-09, - "1011011111": 1.1342682559050975e-06, - "1011100000": 3.043450425181268e-12, - "1011100001": 1.8852347620231076e-14, - "1011100010": 1.853272289539121e-14, - "1011100011": 2.922277368892482e-12, - "1011100100": 1.8546804286143202e-14, - "1011100101": 2.79850565076872e-12, - "1011100110": 2.9140331834382416e-12, - "1011100111": 1.8496877893291606e-09, - "1011101000": 1.8283736585394564e-14, - "1011101001": 2.7985074791533548e-12, - "1011101010": 2.712289682931316e-12, - "1011101011": 1.721555910156905e-09, - "1011101100": 2.836552849378734e-12, - "1011101101": 1.7215523986516181e-09, - "1011101110": 1.7925198361330827e-09, - "1011101111": 1.1342682601240547e-06, - "1011110000": 1.908708161320857e-14, - "1011110001": 2.9224069688591126e-12, - "1011110010": 2.9142898455730865e-12, - "1011110011": 1.849687783312807e-09, - "1011110100": 2.8368023765182177e-12, - "1011110101": 1.7216260107270752e-09, - "1011110110": 1.7925198234876558e-09, - "1011110111": 1.1342682601245642e-06, - "1011111000": 2.9616869797932046e-12, - "1011111001": 1.849764306571555e-09, - "1011111010": 1.7925977375937865e-09, - "1011111011": 1.1342682564454948e-06, - "1011111100": 1.874883072665163e-09, - "1011111101": 1.1343144481541737e-06, - "1011111110": 1.181074681538681e-06, - "1011111111": 0.0007473621649840438, - "1100000000": 1.2352928374832666e-06, - "1100000001": 1.9521711254322923e-09, - "1100000010": 1.874883072665165e-09, - "1100000011": 3.089943509201862e-12, - "1100000100": 1.874806731303991e-09, - "1100000101": 2.9543231670797667e-12, - "1100000110": 3.0480728082245518e-12, - "1100000111": 1.94326297340359e-14, - "1100001000": 1.8748067374873727e-09, - "1100001001": 2.954073272003022e-12, - "1100001010": 2.8368004826550013e-12, - "1100001011": 1.8613217211664372e-14, - "1100001100": 3.0479379299764903e-12, - "1100001101": 1.88680900214822e-14, - "1100001110": 1.9363984819781177e-14, - "1100001111": 3.0505535211252115e-12, - "1100010000": 1.874806738137445e-09, - "1100010001": 2.9540675501100053e-12, - "1100010010": 2.8365528471029e-12, - "1100010011": 1.8882546466499545e-14, - "1100010100": 2.836675983524257e-12, - "1100010101": 1.781418952382277e-14, - "1100010110": 1.8546803014129192e-14, - "1100010111": 2.922412124099573e-12, - "1100011000": 3.0479371450701635e-12, - "1100011001": 1.9139239898917246e-14, - "1100011010": 1.854679722307908e-14, - "1100011011": 2.9221521355121796e-12, - "1100011100": 1.9382630919065176e-14, - "1100011101": 2.9222773688924813e-12, - "1100011110": 3.0431827867727567e-12, - "1100011111": 1.931583912111807e-09, - "1100100000": 1.87480672566928e-09, - "1100100001": 2.9540732731471575e-12, - "1100100010": 2.836552849378737e-12, - "1100100011": 1.8882546466499545e-14, - "1100100100": 2.8364326739691433e-12, - "1100100101": 1.80671072858407e-14, - "1100100110": 1.881312301927356e-14, - "1100100111": 3.0069349545682156e-12, - "1100101000": 2.83667961574905e-12, - "1100101001": 1.806710300820843e-14, - "1100101010": 1.751064076890194e-14, - "1100101011": 2.7985105511881968e-12, - "1100101100": 1.8560892979717063e-14, - "1100101101": 2.7983857136230848e-12, - "1100101110": 2.9141608552291303e-12, - "1100101111": 1.8496932970013215e-09, - "1100110000": 3.047940995310379e-12, - "1100110001": 1.913923734847487e-14, - "1100110010": 1.8813114658744135e-14, - "1100110011": 3.0066665509221373e-12, - "1100110100": 1.856089043088553e-14, - "1100110101": 2.7983830779580332e-12, - "1100110110": 2.9139097803736633e-12, - "1100110111": 1.84961246389092e-09, - "1100111000": 1.93803068381291e-14, - "1100111001": 3.006797298211703e-12, - "1100111010": 2.9141601582133124e-12, - "1100111011": 1.8496124690613082e-09, - "1100111100": 3.047937929976488e-12, - "1100111101": 1.849687783312807e-09, - "1100111110": 1.925937346458508e-09, - "1100111111": 1.2186921587750972e-06, - "1101000000": 1.8748881548592987e-09, - "1101000001": 2.954323059364391e-12, - "1101000010": 2.836802376518221e-12, - "1101000011": 1.8613217211664382e-14, - "1101000100": 2.8366778785115113e-12, - "1101000101": 1.7814201460041153e-14, - "1101000110": 1.8546800466585192e-14, - "1101000111": 2.922412122883924e-12, - "1101001000": 2.8366815084786486e-12, - "1101001001": 1.8067114938448305e-14, - "1101001010": 1.7510654864776125e-14, - "1101001011": 2.7985131868703518e-12, - "1101001100": 1.856089043088553e-14, - "1101001101": 2.798385714779446e-12, - "1101001110": 2.9141608541231672e-12, - "1101001111": 1.8496932962703817e-09, - "1101010000": 2.8369267251544928e-12, - "1101010001": 1.7814194623032795e-14, - "1101010010": 1.7510652338082792e-14, - "1101010011": 2.7985105511881968e-12, - "1101010100": 1.7275873721726124e-14, - "1101010101": 2.604644401026533e-12, - "1101010110": 2.71217291427122e-12, - "1101010111": 1.7215594183465738e-09, - "1101011000": 1.8297720192036173e-14, - "1101011001": 2.79838490519241e-12, - "1101011010": 2.712174819938989e-12, - "1101011011": 1.7214858013724526e-09, - "1101011100": 2.8366759835242542e-12, - "1101011101": 1.721555910156905e-09, - "1101011110": 1.792523489563643e-09, - "1101011111": 1.1342706410674956e-06, - "1101100000": 3.0482066312059444e-12, - "1101100001": 1.8868095303211726e-14, - "1101100010": 1.8546804286143196e-14, - "1101100011": 2.9221521355121796e-12, - "1101100100": 1.8560900012627363e-14, - "1101100101": 2.798385716039561e-12, - "1101100110": 2.913909781574554e-12, - "1101100111": 1.8496124631599993e-09, - "1101101000": 1.8297732262632687e-14, - "1101101001": 2.7983875421349607e-12, - "1101101010": 2.7121748223342547e-12, - "1101101011": 1.7214858013724526e-09, - "1101101100": 2.8364326739691417e-12, - "1101101101": 1.72148229004151e-09, - "1101101110": 1.7924468358277222e-09, - "1101101111": 1.1342220660774994e-06, - "1101110000": 1.91056032340967e-14, - "1101110001": 2.922278483831551e-12, - "1101110010": 2.9141620686523668e-12, - "1101110011": 1.8496124690613082e-09, - "1101110100": 2.83667787851151e-12, - "1101110101": 1.7215559109129884e-09, - "1101110110": 1.7924468365379697e-09, - "1101110111": 1.1342220702957594e-06, - "1101111000": 2.9615577390196225e-12, - "1101111001": 1.849688988521275e-09, - "1101111010": 1.7925247467744297e-09, - "1101111011": 1.134222066617781e-06, - "1101111100": 1.874806731303989e-09, - "1101111101": 1.1342682564454948e-06, - "1101111110": 1.1810265856542082e-06, - "1101111111": 0.0007473317308040629, - "1110000000": 1.957426361344795e-09, - "1110000001": 3.0843812650700988e-12, - "1110000010": 2.9616869797932067e-12, - "1110000011": 1.943262973403591e-14, - "1110000100": 2.9615577390196237e-12, - "1110000101": 1.8596876565868303e-14, - "1110000110": 1.9361665051357693e-14, - "1110000111": 3.0505535330082422e-12, - "1110001000": 2.961556966443388e-12, - "1110001001": 1.886610378940995e-14, - "1110001010": 1.8283727016368586e-14, - "1110001011": 2.9224121228839232e-12, - "1110001100": 1.93803068381291e-14, - "1110001101": 2.922279839000143e-12, - "1110001110": 3.0431820025191377e-12, - "1110001111": 1.9315839176170727e-09, - "1110010000": 2.9615607678646142e-12, - "1110010001": 1.886610125718454e-14, - "1110010010": 1.8548169626801595e-14, - "1110010011": 3.0069349545682156e-12, - "1110010100": 1.8297720192036173e-14, - "1110010101": 2.7986327357672195e-12, - "1110010110": 2.914164526022909e-12, - "1110010111": 1.8496933023087972e-09, - "1110011000": 1.9377993965011302e-14, - "1110011001": 3.00679978694252e-12, - "1110011010": 2.9141638301150025e-12, - "1110011011": 1.8496124631599993e-09, - "1110011100": 3.047937145070162e-12, - "1110011101": 1.8496877893291606e-09, - "1110011110": 1.9259373520478528e-09, - "1110011111": 1.2186921622464538e-06, - "1110100000": 2.9618187459587535e-12, - "1110100001": 1.8596881813860176e-14, - "1110100010": 1.8283736585394564e-14, - "1110100011": 2.9224121240995738e-12, - "1110100100": 1.8297732262632687e-14, - "1110100101": 2.7986353726965092e-12, - "1110100110": 2.914164528328834e-12, - "1110100111": 1.8496933023087972e-09, - "1110101000": 1.8036421628709313e-14, - "1110101001": 2.7986345642283337e-12, - "1110101010": 2.712409378971996e-12, - "1110101011": 1.7215594183465738e-09, - "1110101100": 2.8366796157490473e-12, - "1110101101": 1.721555904617617e-09, - "1110101110": 1.7925234960582286e-09, - "1110101111": 1.1342706447466622e-06, - "1110110000": 1.9103300875351988e-14, - "1110110001": 2.9222809551732914e-12, - "1110110010": 2.9141657416772825e-12, - "1110110011": 1.84961246389092e-09, - "1110110100": 2.8366815084786466e-12, - "1110110101": 1.7215559053737004e-09, - "1110110110": 1.7924468296731422e-09, - "1110110111": 1.1342220697559881e-06, - "1110111000": 2.9615569664433853e-12, - "1110111001": 1.8496889952685829e-09, - "1110111010": 1.7925247532690341e-09, - "1110111011": 1.1342220702957594e-06, - "1110111100": 1.8748067374873703e-09, - "1110111101": 1.1342682601245642e-06, - "1110111110": 1.1810265894849778e-06, - "1110111111": 0.0007473317332281627, - "1111000000": 3.092223193539394e-12, - "1111000001": 1.9415648658678354e-14, - "1111000010": 1.9087081613208563e-14, - "1111000011": 3.0505535211252115e-12, - "1111000100": 1.9105603234096692e-14, - "1111000101": 2.9225397039453797e-12, - "1111000110": 3.0431858586874903e-12, - "1111000111": 1.9315839176170727e-09, - "1111001000": 1.9103300875351972e-14, - "1111001001": 3.007068064868834e-12, - "1111001010": 2.9144168276876966e-12, - "1111001011": 1.8496932962703817e-09, - "1111001100": 3.0479409953103765e-12, - "1111001101": 1.8496877781236023e-09, - "1111001110": 1.9259373527072026e-09, - "1111001111": 1.2186921622470192e-06, - "1111010000": 1.883055084551794e-14, - "1111010001": 2.9225408188308634e-12, - "1111010010": 2.914418736878546e-12, - "1111010011": 1.8496932970013215e-09, - "1111010100": 2.83692672515449e-12, - "1111010101": 1.721629519833247e-09, - "1111010110": 1.7925234841230858e-09, - "1111010111": 1.1342706447466622e-06, - "1111011000": 2.9615607678646114e-12, - "1111011001": 1.8496889840629913e-09, - "1111011010": 1.7925247406235928e-09, - "1111011011": 1.1342220660774994e-06, - "1111011100": 1.8748067381374424e-09, - "1111011101": 1.1342682601240547e-06, - "1111011110": 1.1810265894854223e-06, - "1111011111": 0.0007473317332284773, - "1111100000": 1.965964516011175e-14, - "1111100001": 3.050687838376052e-12, - "1111100010": 3.0434504251812674e-12, - "1111100011": 1.931583912111807e-09, - "1111100100": 3.048206631205943e-12, - "1111100101": 1.849768615468849e-09, - "1111100110": 1.925937340744768e-09, - "1111100111": 1.2186921622464538e-06, - "1111101000": 2.9618187459587514e-12, - "1111101001": 1.849769820659028e-09, - "1111101010": 1.7926014007063608e-09, - "1111101011": 1.1342706410674956e-06, - "1111101100": 1.8748067256692775e-09, - "1111101101": 1.1342682559050975e-06, - "1111101110": 1.1810265894844383e-06, - "1111101111": 0.0007473317332284773, - "1111110000": 3.0922231935393896e-12, - "1111110001": 1.931663299295616e-09, - "1111110010": 1.9260223191028477e-09, - "1111110011": 1.2186921587750972e-06, - "1111110100": 1.8748881548592975e-09, - "1111110101": 1.134316833371378e-06, - "1111110110": 1.1810265855603671e-06, - "1111110111": 0.0007473317332281627, - "1111111000": 1.9574263613447945e-09, - "1111111001": 1.2187425826518344e-06, - "1111111010": 1.1810779929222387e-06, - "1111111011": 0.0007473317308040629, - "1111111100": 1.2352928374832658e-06, - "1111111101": 0.0007473621649840438, - "1111111110": 0.0007781709310813991, - "1111111111": 0.49241213751466884 + "0000000000": 0.34058082480193336, + "0000000001": 0.01377699388948789, + "0000000010": 0.013189586290314791, + "0000000011": 0.0005598178843653702, + "0000000100": 0.013175434533706329, + "0000000101": 0.0005335250909593148, + "0000000110": 0.0005510589810222399, + "0000000111": 2.2774789134034654e-05, + "0000001000": 0.013175464509614564, + "0000001001": 0.0005329137509085072, + "0000001010": 0.0005107594131039181, + "0000001011": 2.174415609838607e-05, + "0000001100": 0.0005504576740293695, + "0000001101": 2.2356696053385456e-05, + "0000001110": 2.2429638959898878e-05, + "0000001111": 8.508854649795345e-07, + "0000010000": 0.013175464602200027, + "0000010001": 0.0005329149281444949, + "0000010010": 0.0005101838045715178, + "0000010011": 2.1720188601572076e-05, + "0000010100": 0.0005102111675699216, + "0000010101": 2.0722602855781923e-05, + "0000010110": 2.1409338829043796e-05, + "0000010111": 8.123756603362546e-07, + "0000011000": 0.0005504587786682653, + "0000011001": 2.2331617072918025e-05, + "0000011010": 2.1408953648019455e-05, + "0000011011": 8.37805505775836e-07, + "0000011100": 2.2405424776980832e-05, + "0000011101": 8.364533074855725e-07, + "0000011110": 8.351111952830548e-07, + "0000011111": 1.4948835684517452e-07, + "0000100000": 0.013175464602200027, + "0000100001": 0.0005329149355874632, + "0000100010": 0.0005101850745897166, + "0000100011": 2.1720289549490672e-05, + "0000100100": 0.0005096363287308362, + "0000100101": 2.0700140392230103e-05, + "0000100110": 2.1385669782885254e-05, + "0000100111": 8.10450809807058e-07, + "0000101000": 0.0005102123282251345, + "0000101001": 2.069974014469425e-05, + "0000101010": 1.9844071377793418e-05, + "0000101011": 7.755986599306754e-07, + "0000101100": 2.1386071678806006e-05, + "0000101101": 7.983736948077951e-07, + "0000101110": 7.974646098937357e-07, + "0000101111": 1.4272263829400358e-07, + "0000110000": 0.0005504587829835811, + "0000110001": 2.2331714183099e-05, + "0000110010": 2.138527875425279e-05, + "0000110011": 8.358209609685864e-07, + "0000110100": 2.138606596986487e-05, + "0000110101": 7.983592026759803e-07, + "0000110110": 8.222550929302687e-07, + "0000110111": 1.4477692182544483e-07, + "0000111000": 2.240546965461681e-05, + "0000111001": 8.344750615048987e-07, + "0000111010": 7.974551134168497e-07, + "0000111011": 1.4479564861097078e-07, + "0000111100": 8.341058546766856e-07, + "0000111101": 1.447291169962987e-07, + "0000111110": 1.4741089052666676e-07, + "0000111111": 8.508854649795342e-07, + "0001000000": 0.013175464509614564, + "0001000001": 0.0005329149322516386, + "0001000010": 0.0005101850784715499, + "0001000011": 2.172028450819209e-05, + "0001000100": 0.000509637593350527, + "0001000101": 2.0700242001982762e-05, + "0001000110": 2.1385760303083115e-05, + "0001000111": 8.104222025634249e-07, + "0001001000": 0.0005096374841281233, + "0001001001": 2.0677320994639783e-05, + "0001001010": 1.9822653087599284e-05, + "0001001011": 7.737747890152118e-07, + "0001001100": 2.136242978227354e-05, + "0001001101": 7.964895545189142e-07, + "0001001110": 7.955243786739664e-07, + "0001001111": 1.447769218254449e-07, + "0001010000": 0.0005102123282251345, + "0001010001": 2.0699836204635313e-05, + "0001010010": 1.98226471654322e-05, + "0001010011": 7.737604049346106e-07, + "0001010100": 1.9822857885277798e-05, + "0001010101": 7.390739984820823e-07, + "0001010110": 7.61155044262387e-07, + "0001010111": 1.3626070111891978e-07, + "0001011000": 2.1386114656745783e-05, + "0001011001": 7.964789218501927e-07, + "0001011010": 7.61160156286371e-07, + "0001011011": 1.382252504494736e-07, + "0001011100": 7.965044342386938e-07, + "0001011101": 1.3819140034872716e-07, + "0001011110": 1.4073949277302446e-07, + "0001011111": 8.123756603362541e-07, + "0001100000": 0.0005504587786682653, + "0001100001": 2.2331709067580703e-05, + "0001100010": 2.138536926755942e-05, + "0001100011": 8.357915963833816e-07, + "0001100100": 2.1362424077239755e-05, + "0001100101": 7.964746067285468e-07, + "0001100110": 8.202496006085106e-07, + "0001100111": 1.4684083500994472e-07, + "0001101000": 2.1386114656745783e-05, + "0001101001": 7.964784806934836e-07, + "0001101010": 7.611402585093579e-07, + "0001101011": 1.3822271807917489e-07, + "0001101100": 8.212604004558108e-07, + "0001101101": 1.401780363012882e-07, + "0001101110": 1.4276012976825563e-07, + "0001101111": 8.104508098070578e-07, + "0001110000": 2.240546965461681e-05, + "0001110001": 8.344458285308044e-07, + "0001110010": 7.95514633697149e-07, + "0001110011": 1.4686012469054616e-07, + "0001110100": 7.96504200675249e-07, + "0001110101": 1.3818937171927416e-07, + "0001110110": 1.427606387263907e-07, + "0001110111": 8.104222025634245e-07, + "0001111000": 8.341076195980032e-07, + "0001111001": 1.4679562919841153e-07, + "0001111010": 1.4073836931106778e-07, + "0001111011": 8.104261342798041e-07, + "0001111100": 1.4746448180264416e-07, + "0001111101": 8.113900948313364e-07, + "0001111110": 8.523882685693832e-07, + "0001111111": 2.277478913403466e-05, + "0010000000": 0.013175434533706329, + "0010000001": 0.000532913720420586, + "0010000010": 0.0005101839186015605, + "0010000011": 2.1720234412534484e-05, + "0010000100": 0.000509636441835144, + "0010000101": 2.0700189879179012e-05, + "0010000110": 2.138570608360328e-05, + "0010000111": 8.104261342798046e-07, + "0010001000": 0.000509637593350527, + "0010001001": 2.0677376037063343e-05, + "0010001010": 1.9822697436001283e-05, + "0010001011": 7.737461890094972e-07, + "0010001100": 2.1362471628657152e-05, + "0010001101": 7.964602028438809e-07, + "0010001110": 7.955047124654188e-07, + "0010001111": 1.4479564861097078e-07, + "0010010000": 0.0005096363287308362, + "0010010001": 2.067737049765575e-05, + "0010010010": 1.980122614103859e-05, + "0010010011": 7.719248200890797e-07, + "0010010100": 1.980141865639604e-05, + "0010010101": 7.373330877723029e-07, + "0010010110": 7.593146664095273e-07, + "0010010111": 1.382252504494736e-07, + "0010011000": 2.1362424077239765e-05, + "0010011001": 7.945824545244853e-07, + "0010011010": 7.593003349800808e-07, + "0010011011": 1.401980342491823e-07, + "0010011100": 7.945631031273445e-07, + "0010011101": 1.4016550422336723e-07, + "0010011110": 1.4278357113950635e-07, + "0010011111": 8.37805505775836e-07, + "0010100000": 0.0005102111675699216, + "0010100001": 2.0699784085553513e-05, + "0010100010": 1.9822691513857882e-05, + "0010100011": 7.73731373676092e-07, + "0010100100": 1.980141865639604e-05, + "0010100101": 7.373326274503207e-07, + "0010100110": 7.592947657330588e-07, + "0010100111": 1.3822271807917489e-07, + "0010101000": 1.9822857885277798e-05, + "0010101001": 7.373173418289958e-07, + "0010101010": 7.045599644453549e-07, + "0010101011": 1.3009175924816932e-07, + "0010101100": 7.602309962730228e-07, + "0010101101": 1.319184666067029e-07, + "0010101110": 1.343796337251732e-07, + "0010101111": 7.755986599306757e-07, + "0010110000": 2.138606596986487e-05, + "0010110001": 7.96449344003212e-07, + "0010110010": 7.593000921393255e-07, + "0010110011": 1.4019600112284992e-07, + "0010110100": 7.602506537901727e-07, + "0010110101": 1.319189750647397e-07, + "0010110110": 1.36272337704878e-07, + "0010110111": 7.737747890152119e-07, + "0010111000": 7.96504200675249e-07, + "0010111001": 1.4016468413031817e-07, + "0010111010": 1.3438104549566173e-07, + "0010111011": 7.737461890094974e-07, + "0010111100": 1.4079104359265657e-07, + "0010111101": 7.746718126559159e-07, + "0010111110": 8.138147822473148e-07, + "0010111111": 2.174415609838608e-05, + "0011000000": 0.0005504576740293695, + "0011000001": 2.2331663538248683e-05, + "0011000010": 2.1385320760048415e-05, + "0011000011": 8.357957805503407e-07, + "0011000100": 2.1362471628657152e-05, + "0011000101": 7.964454695298744e-07, + "0011000110": 8.202295953021371e-07, + "0011000111": 1.4686012469054616e-07, + "0011001000": 2.136242978227354e-05, + "0011001001": 7.945822245276194e-07, + "0011001010": 7.592802159256168e-07, + "0011001011": 1.4019600112284992e-07, + "0011001100": 8.192540480226539e-07, + "0011001101": 1.4216095107955e-07, + "0011001110": 1.4481371140081424e-07, + "0011001111": 8.358209609685866e-07, + "0011010000": 2.1386071678806006e-05, + "0011010001": 7.964495550333621e-07, + "0011010010": 7.592998702840851e-07, + "0011010011": 1.4019651385892188e-07, + "0011010100": 7.602309962730228e-07, + "0011010101": 1.319160817486092e-07, + "0011010110": 1.3626985622369698e-07, + "0011010111": 7.73760404934611e-07, + "0011011000": 8.212604004558108e-07, + "0011011001": 1.421626869051409e-07, + "0011011010": 1.3627075313350912e-07, + "0011011011": 7.719248200890801e-07, + "0011011100": 1.4281082941604893e-07, + "0011011101": 7.728167813511735e-07, + "0011011110": 8.119580318282488e-07, + "0011011111": 2.1720188601572082e-05, + "0011100000": 2.2405424776980832e-05, + "0011100001": 8.344500343360348e-07, + "0011100010": 7.954952047333179e-07, + "0011100011": 1.4687950562914868e-07, + "0011100100": 7.945631031273445e-07, + "0011100101": 1.401639783739752e-07, + "0011100110": 1.448142239974358e-07, + "0011100111": 8.357915963833817e-07, + "0011101000": 7.965044342386938e-07, + "0011101001": 1.401651966743181e-07, + "0011101010": 1.3437856338824747e-07, + "0011101011": 7.737313736760924e-07, + "0011101100": 1.4281082941604893e-07, + "0011101101": 7.728163467741167e-07, + "0011101110": 8.119144123072705e-07, + "0011101111": 2.172028954949068e-05, + "0011110000": 8.341058546766856e-07, + "0011110001": 1.468144924911979e-07, + "0011110010": 1.4278243980996183e-07, + "0011110011": 8.357957805503408e-07, + "0011110100": 1.4079104359265657e-07, + "0011110101": 7.746572123862313e-07, + "0011110110": 8.119578140225599e-07, + "0011110111": 2.17202845081921e-05, + "0011111000": 1.4746448180264416e-07, + "0011111001": 8.368051219976433e-07, + "0011111010": 8.138171454225742e-07, + "0011111011": 2.172023441253449e-05, + "0011111100": 8.540124755542006e-07, + "0011111101": 2.174348013457347e-05, + "0011111110": 2.270461066448005e-05, + "0011111111": 0.0005598178843653708, + "0100000000": 0.013189586290314791, + "0100000001": 0.0005334861900934385, + "0100000010": 0.0005107319829928057, + "0100000011": 2.1743480134573452e-05, + "0100000100": 0.0005101839186015605, + "0100000101": 2.0722343435787664e-05, + "0100000110": 2.140858531236431e-05, + "0100000111": 8.113900948313366e-07, + "0100001000": 0.0005101850784715499, + "0100001001": 2.069949954831003e-05, + "0100001010": 1.984389839803651e-05, + "0100001011": 7.746718126559157e-07, + "0100001100": 2.1385320760048415e-05, + "0100001101": 7.974116306400881e-07, + "0100001110": 7.964615638500054e-07, + "0100001111": 1.4472911699629865e-07, + "0100010000": 0.0005101850745897166, + "0100010001": 2.0699601155650578e-05, + "0100010010": 1.9822498210346436e-05, + "0100010011": 7.728167813511737e-07, + "0100010100": 1.9822691513857882e-05, + "0100010101": 7.381843512914668e-07, + "0100010110": 7.602058721274599e-07, + "0100010111": 1.3819140034872721e-07, + "0100011000": 2.138536926755942e-05, + "0100011001": 7.954993939191573e-07, + "0100011010": 7.601911019997693e-07, + "0100011011": 1.4016550422336723e-07, + "0100011100": 7.954952047333179e-07, + "0100011101": 1.4013296698760475e-07, + "0100011110": 1.4273630190925434e-07, + "0100011111": 8.364533074855725e-07, + "0100100000": 0.0005101838045715178, + "0100100001": 2.0699494005815146e-05, + "0100100010": 1.9822498210346436e-05, + "0100100011": 7.728163467741165e-07, + "0100100100": 1.980122614103859e-05, + "0100100101": 7.364599210759657e-07, + "0100100110": 7.583524777879132e-07, + "0100100111": 1.401780363012882e-07, + "0100101000": 1.98226471654322e-05, + "0100101001": 7.364441819886868e-07, + "0100101010": 7.036851433430946e-07, + "0100101011": 1.319184666067029e-07, + "0100101100": 7.592998702840851e-07, + "0100101101": 1.3375787598697906e-07, + "0100101110": 1.3628190414956571e-07, + "0100101111": 7.983736948077957e-07, + "0100110000": 2.138527875425279e-05, + "0100110001": 7.954991642518055e-07, + "0100110010": 7.583379189284913e-07, + "0100110011": 1.4216095107955e-07, + "0100110100": 7.593000921393255e-07, + "0100110101": 1.3375496795509578e-07, + "0100110110": 1.3818324353703342e-07, + "0100110111": 7.96489554518915e-07, + "0100111000": 7.95514633697149e-07, + "0100111001": 1.4213090485055106e-07, + "0100111010": 1.3628031529028532e-07, + "0100111011": 7.964602028438815e-07, + "0100111100": 1.427824398099618e-07, + "0100111101": 7.974116306400883e-07, + "0100111110": 8.376242769899603e-07, + "0100111111": 2.2356696053385462e-05, + "0101000000": 0.0005107594131039181, + "0101000001": 2.0721943396227952e-05, + "0101000010": 1.9843898398036502e-05, + "0101000011": 7.746572123862311e-07, + "0101000100": 1.9822697436001283e-05, + "0101000101": 7.38184114838898e-07, + "0101000110": 7.60185755657888e-07, + "0101000111": 1.3818937171927422e-07, + "0101001000": 1.9822653087599284e-05, + "0101001001": 7.364444058557003e-07, + "0101001010": 7.036849148450591e-07, + "0101001011": 1.319189750647397e-07, + "0101001100": 7.592802159256168e-07, + "0101001101": 1.3375496795509578e-07, + "0101001110": 1.3627940440792642e-07, + "0101001111": 7.983592026759807e-07, + "0101010000": 1.9844071377793418e-05, + "0101010001": 7.381686184591718e-07, + "0101010010": 7.036851433430946e-07, + "0101010011": 1.319160817486092e-07, + "0101010100": 7.045599644453549e-07, + "0101010101": 1.2411270239075165e-07, + "0101010110": 1.2822221609094414e-07, + "0101010111": 7.390739984820824e-07, + "0101011000": 7.611402585093579e-07, + "0101011001": 1.337536819443987e-07, + "0101011010": 1.2822353612825213e-07, + "0101011011": 7.373330877723032e-07, + "0101011100": 1.3437856338824747e-07, + "0101011101": 7.381843512914673e-07, + "0101011110": 7.754966255559314e-07, + "0101011111": 2.072260285578193e-05, + "0101100000": 2.1408953648019466e-05, + "0101100001": 7.974010155506745e-07, + "0101100010": 7.601911019997693e-07, + "0101100011": 1.401639783739752e-07, + "0101100100": 7.593003349800808e-07, + "0101100101": 1.3375547989164446e-07, + "0101100110": 1.3818074468577819e-07, + "0101100111": 7.964746067285477e-07, + "0101101000": 7.61160156286371e-07, + "0101101001": 1.33757101614409e-07, + "0101101010": 1.2822353612825213e-07, + "0101101011": 7.37332627450321e-07, + "0101101100": 1.3627075313350912e-07, + "0101101101": 7.36459921075966e-07, + "0101101110": 7.737352086775669e-07, + "0101101111": 2.070014039223012e-05, + "0101110000": 7.974551134168497e-07, + "0101110001": 1.4013214322179247e-07, + "0101110010": 1.3628031529028532e-07, + "0101110011": 7.964454695298747e-07, + "0101110100": 1.3438104549566173e-07, + "0101110101": 7.381841148388981e-07, + "0101110110": 7.737354125031164e-07, + "0101110111": 2.070024200198277e-05, + "0101111000": 1.4073836931106773e-07, + "0101111001": 7.974127835351782e-07, + "0101111010": 7.755132471171823e-07, + "0101111011": 2.0700189879179025e-05, + "0101111100": 8.138171454225742e-07, + "0101111101": 2.072234343578768e-05, + "0101111110": 2.163832584250928e-05, + "0101111111": 0.000533525090959315, + "0110000000": 0.0005510589810222399, + "0110000001": 2.2355967257472636e-05, + "0110000010": 2.140858531236431e-05, + "0110000011": 8.36805121997643e-07, + "0110000100": 2.138570608360328e-05, + "0110000101": 7.974127835351777e-07, + "0110000110": 8.212305395917022e-07, + "0110000111": 1.4679562919841153e-07, + "0110001000": 2.1385760303083115e-05, + "0110001001": 7.955150566535163e-07, + "0110001010": 7.60185755657888e-07, + "0110001011": 1.4016468413031817e-07, + "0110001100": 8.202295953021371e-07, + "0110001101": 1.4213090485055106e-07, + "0110001110": 1.4476934540766986e-07, + "0110001111": 8.344750615048989e-07, + "0110010000": 2.1385669782885254e-05, + "0110010001": 7.95515268014469e-07, + "0110010010": 7.583524777879132e-07, + "0110010011": 1.4216268690514094e-07, + "0110010100": 7.592947657330588e-07, + "0110010101": 1.337536819443987e-07, + "0110010110": 1.381828546149827e-07, + "0110010111": 7.964789218501929e-07, + "0110011000": 8.202496006085106e-07, + "0110011001": 1.441398811034587e-07, + "0110011010": 1.3818074468577819e-07, + "0110011011": 7.945824545244858e-07, + "0110011100": 1.448142239974358e-07, + "0110011101": 7.954993939191579e-07, + "0110011110": 8.357083545200139e-07, + "0110011111": 2.2331617072918025e-05, + "0110100000": 2.1409338829043796e-05, + "0110100001": 7.97416894241456e-07, + "0110100010": 7.602058721274599e-07, + "0110100011": 1.4016519667431804e-07, + "0110100100": 7.593146664095273e-07, + "0110100101": 1.33757101614409e-07, + "0110100110": 1.3818285461498273e-07, + "0110100111": 7.964784806934841e-07, + "0110101000": 7.61155044262387e-07, + "0110101001": 1.337553034605661e-07, + "0110101010": 1.2822221609094414e-07, + "0110101011": 7.373173418289964e-07, + "0110101100": 1.3626985622369698e-07, + "0110101101": 7.364441819886874e-07, + "0110101110": 7.73718334899663e-07, + "0110101111": 2.0699740144694265e-05, + "0110110000": 8.222550929302687e-07, + "0110110001": 1.4213212605774393e-07, + "0110110010": 1.3818324353703342e-07, + "0110110011": 7.945822245276201e-07, + "0110110100": 1.36272337704878e-07, + "0110110101": 7.364444058557006e-07, + "0110110110": 7.71989956029195e-07, + "0110110111": 2.0677320994639796e-05, + "0110111000": 1.427606387263907e-07, + "0110111001": 7.955150566535169e-07, + "0110111010": 7.737354125031164e-07, + "0110111011": 2.0677376037063357e-05, + "0110111100": 8.119578140225599e-07, + "0110111101": 2.0699499548310046e-05, + "0110111110": 2.161435729541573e-05, + "0110111111": 0.0005329137509085073, + "0111000000": 2.2429638959898878e-05, + "0111000001": 8.354515742059446e-07, + "0111000010": 7.964615638500054e-07, + "0111000011": 1.468144924911978e-07, + "0111000100": 7.955047124654188e-07, + "0111000101": 1.4013214322179247e-07, + "0111000110": 1.4476934540766986e-07, + "0111000111": 8.344458285308046e-07, + "0111001000": 7.955243786739662e-07, + "0111001001": 1.4213212605774393e-07, + "0111001010": 1.3627940440792642e-07, + "0111001011": 7.964493440032125e-07, + "0111001100": 1.4481371140081424e-07, + "0111001101": 7.954991642518057e-07, + "0111001110": 8.356640013338093e-07, + "0111001111": 2.2331714183099e-05, + "0111010000": 7.974646098937355e-07, + "0111010001": 1.4013285087659343e-07, + "0111010010": 1.3628190414956571e-07, + "0111010011": 7.964495550333624e-07, + "0111010100": 1.343796337251732e-07, + "0111010101": 7.381686184591723e-07, + "0111010110": 7.73718334899663e-07, + "0111010111": 2.069983620463533e-05, + "0111011000": 1.4276012976825563e-07, + "0111011001": 7.955152680144692e-07, + "0111011010": 7.737352086775669e-07, + "0111011011": 2.0677370497655757e-05, + "0111011100": 8.119144123072705e-07, + "0111011101": 2.0699601155650595e-05, + "0111011110": 2.1614466135949674e-05, + "0111011111": 0.000532914928144495, + "0111100000": 8.351111952830548e-07, + "0111100001": 1.467493136702383e-07, + "0111100010": 1.4273630190925434e-07, + "0111100011": 8.34450034336035e-07, + "0111100100": 1.4278357113950627e-07, + "0111100101": 7.974010155506746e-07, + "0111100110": 8.357083545200139e-07, + "0111100111": 2.2331709067580703e-05, + "0111101000": 1.407394927730244e-07, + "0111101001": 7.974168942414569e-07, + "0111101010": 7.754966255559318e-07, + "0111101011": 2.069978408555353e-05, + "0111101100": 8.119580318282488e-07, + "0111101101": 2.0699494005815163e-05, + "0111101110": 2.1614466135949674e-05, + "0111101111": 0.0005329149355874633, + "0111110000": 1.474108905266667e-07, + "0111110001": 8.354515742059448e-07, + "0111110010": 8.376242769899603e-07, + "0111110011": 2.2331663538248693e-05, + "0111110100": 8.138147822473148e-07, + "0111110101": 2.0721943396227965e-05, + "0111110110": 2.161435729541573e-05, + "0111110111": 0.000532914932251639, + "0111111000": 8.52388268569383e-07, + "0111111001": 2.2355967257472643e-05, + "0111111010": 2.163832584250928e-05, + "0111111011": 0.0005329137204205861, + "0111111100": 2.270461066448005e-05, + "0111111101": 0.0005334861900934387, + "0111111110": 0.000557254783661583, + "0111111111": 0.013776993889487884, + "1000000000": 0.013776993889487898, + "1000000001": 0.000557254783661583, + "1000000010": 0.0005334861900934385, + "1000000011": 2.270461066448005e-05, + "1000000100": 0.0005329137204205861, + "1000000101": 2.163832584250927e-05, + "1000000110": 2.2355967257472636e-05, + "1000000111": 8.523882685693832e-07, + "1000001000": 0.000532914932251639, + "1000001001": 2.1614357295415717e-05, + "1000001010": 2.0721943396227952e-05, + "1000001011": 8.138147822473147e-07, + "1000001100": 2.2331663538248683e-05, + "1000001101": 8.376242769899603e-07, + "1000001110": 8.354515742059446e-07, + "1000001111": 1.4741089052666676e-07, + "1000010000": 0.0005329149355874633, + "1000010001": 2.1614466135949667e-05, + "1000010010": 2.0699494005815146e-05, + "1000010011": 8.119580318282488e-07, + "1000010100": 2.0699784085553507e-05, + "1000010101": 7.754966255559312e-07, + "1000010110": 7.974168942414564e-07, + "1000010111": 1.4073949277302446e-07, + "1000011000": 2.2331709067580693e-05, + "1000011001": 8.357083545200139e-07, + "1000011010": 7.974010155506745e-07, + "1000011011": 1.4278357113950635e-07, + "1000011100": 8.344500343360348e-07, + "1000011101": 1.4273630190925434e-07, + "1000011110": 1.467493136702383e-07, + "1000011111": 8.351111952830546e-07, + "1000100000": 0.000532914928144495, + "1000100001": 2.1614466135949667e-05, + "1000100010": 2.0699601155650578e-05, + "1000100011": 8.119144123072703e-07, + "1000100100": 2.067737049765575e-05, + "1000100101": 7.737352086775665e-07, + "1000100110": 7.95515268014469e-07, + "1000100111": 1.427601297682557e-07, + "1000101000": 2.0699836204635323e-05, + "1000101001": 7.737183348996625e-07, + "1000101010": 7.381686184591721e-07, + "1000101011": 1.3437963372517318e-07, + "1000101100": 7.964495550333621e-07, + "1000101101": 1.3628190414956566e-07, + "1000101110": 1.4013285087659348e-07, + "1000101111": 7.974646098937357e-07, + "1000110000": 2.2331714183099e-05, + "1000110001": 8.356640013338093e-07, + "1000110010": 7.954991642518055e-07, + "1000110011": 1.448137114008142e-07, + "1000110100": 7.964493440032124e-07, + "1000110101": 1.3627940440792636e-07, + "1000110110": 1.4213212605774393e-07, + "1000110111": 7.955243786739662e-07, + "1000111000": 8.344458285308044e-07, + "1000111001": 1.447693454076698e-07, + "1000111010": 1.4013214322179247e-07, + "1000111011": 7.955047124654188e-07, + "1000111100": 1.4681449249119787e-07, + "1000111101": 7.964615638500054e-07, + "1000111110": 8.354515742059448e-07, + "1000111111": 2.2429638959898878e-05, + "1001000000": 0.0005329137509085073, + "1001000001": 2.1614357295415717e-05, + "1001000010": 2.069949954831003e-05, + "1001000011": 8.119578140225596e-07, + "1001000100": 2.0677376037063343e-05, + "1001000101": 7.737354125031161e-07, + "1001000110": 7.955150566535163e-07, + "1001000111": 1.427606387263907e-07, + "1001001000": 2.067732099463979e-05, + "1001001001": 7.719899560291942e-07, + "1001001010": 7.364444058557003e-07, + "1001001011": 1.36272337704878e-07, + "1001001100": 7.945822245276194e-07, + "1001001101": 1.3818324353703342e-07, + "1001001110": 1.4213212605774388e-07, + "1001001111": 8.222550929302692e-07, + "1001010000": 2.069974014469425e-05, + "1001010001": 7.737183348996623e-07, + "1001010010": 7.364441819886868e-07, + "1001010011": 1.3626985622369698e-07, + "1001010100": 7.373173418289958e-07, + "1001010101": 1.2822221609094414e-07, + "1001010110": 1.337553034605661e-07, + "1001010111": 7.611550442623875e-07, + "1001011000": 7.964784806934836e-07, + "1001011001": 1.381828546149827e-07, + "1001011010": 1.33757101614409e-07, + "1001011011": 7.593146664095273e-07, + "1001011100": 1.401651966743181e-07, + "1001011101": 7.602058721274603e-07, + "1001011110": 7.974168942414567e-07, + "1001011111": 2.1409338829043796e-05, + "1001100000": 2.2331617072918025e-05, + "1001100001": 8.357083545200139e-07, + "1001100010": 7.954993939191573e-07, + "1001100011": 1.4481422399743572e-07, + "1001100100": 7.945824545244856e-07, + "1001100101": 1.3818074468577819e-07, + "1001100110": 1.4413988110345868e-07, + "1001100111": 8.20249600608511e-07, + "1001101000": 7.964789218501927e-07, + "1001101001": 1.381828546149827e-07, + "1001101010": 1.337536819443987e-07, + "1001101011": 7.592947657330594e-07, + "1001101100": 1.4216268690514094e-07, + "1001101101": 7.583524777879135e-07, + "1001101110": 7.955152680144692e-07, + "1001101111": 2.1385669782885254e-05, + "1001110000": 8.344750615048989e-07, + "1001110001": 1.4476934540766986e-07, + "1001110010": 1.4213090485055106e-07, + "1001110011": 8.202295953021375e-07, + "1001110100": 1.4016468413031817e-07, + "1001110101": 7.601857556578885e-07, + "1001110110": 7.955150566535165e-07, + "1001110111": 2.1385760303083115e-05, + "1001111000": 1.4679562919841153e-07, + "1001111001": 8.212305395917022e-07, + "1001111010": 7.974127835351779e-07, + "1001111011": 2.138570608360328e-05, + "1001111100": 8.368051219976435e-07, + "1001111101": 2.140858531236431e-05, + "1001111110": 2.2355967257472653e-05, + "1001111111": 0.0005510589810222401, + "1010000000": 0.0005335250909593148, + "1010000001": 2.163832584250927e-05, + "1010000010": 2.0722343435787664e-05, + "1010000011": 8.13817145422574e-07, + "1010000100": 2.070018987917902e-05, + "1010000101": 7.75513247117182e-07, + "1010000110": 7.974127835351777e-07, + "1010000111": 1.407383693110677e-07, + "1010001000": 2.0700242001982762e-05, + "1010001001": 7.737354125031161e-07, + "1010001010": 7.38184114838898e-07, + "1010001011": 1.3438104549566173e-07, + "1010001100": 7.964454695298744e-07, + "1010001101": 1.3628031529028532e-07, + "1010001110": 1.4013214322179247e-07, + "1010001111": 7.974551134168501e-07, + "1010010000": 2.0700140392230103e-05, + "1010010001": 7.737352086775665e-07, + "1010010010": 7.364599210759657e-07, + "1010010011": 1.3627075313350912e-07, + "1010010100": 7.373326274503207e-07, + "1010010101": 1.2822353612825213e-07, + "1010010110": 1.33757101614409e-07, + "1010010111": 7.61160156286371e-07, + "1010011000": 7.964746067285468e-07, + "1010011001": 1.3818074468577819e-07, + "1010011010": 1.3375547989164446e-07, + "1010011011": 7.593003349800811e-07, + "1010011100": 1.401639783739752e-07, + "1010011101": 7.601911019997698e-07, + "1010011110": 7.974010155506746e-07, + "1010011111": 2.1408953648019466e-05, + "1010100000": 2.0722602855781923e-05, + "1010100001": 7.754966255559312e-07, + "1010100010": 7.381843512914668e-07, + "1010100011": 1.3437856338824742e-07, + "1010100100": 7.373330877723029e-07, + "1010100101": 1.2822353612825213e-07, + "1010100110": 1.337536819443987e-07, + "1010100111": 7.611402585093584e-07, + "1010101000": 7.390739984820823e-07, + "1010101001": 1.2822221609094414e-07, + "1010101010": 1.2411270239075165e-07, + "1010101011": 7.04559964445355e-07, + "1010101100": 1.3191608174860926e-07, + "1010101101": 7.036851433430949e-07, + "1010101110": 7.381686184591723e-07, + "1010101111": 1.9844071377793428e-05, + "1010110000": 7.983592026759803e-07, + "1010110001": 1.3627940440792636e-07, + "1010110010": 1.3375496795509578e-07, + "1010110011": 7.592802159256173e-07, + "1010110100": 1.3191897506473975e-07, + "1010110101": 7.036849148450591e-07, + "1010110110": 7.364444058557006e-07, + "1010110111": 1.982265308759929e-05, + "1010111000": 1.3818937171927422e-07, + "1010111001": 7.601857556578885e-07, + "1010111010": 7.381841148388981e-07, + "1010111011": 1.9822697436001296e-05, + "1010111100": 7.746572123862316e-07, + "1010111101": 1.984389839803651e-05, + "1010111110": 2.0721943396227965e-05, + "1010111111": 0.0005107594131039181, + "1011000000": 2.2356696053385456e-05, + "1011000001": 8.376242769899603e-07, + "1011000010": 7.974116306400881e-07, + "1011000011": 1.427824398099618e-07, + "1011000100": 7.964602028438811e-07, + "1011000101": 1.3628031529028532e-07, + "1011000110": 1.4213090485055106e-07, + "1011000111": 7.95514633697149e-07, + "1011001000": 7.964895545189143e-07, + "1011001001": 1.3818324353703342e-07, + "1011001010": 1.3375496795509578e-07, + "1011001011": 7.593000921393258e-07, + "1011001100": 1.4216095107955e-07, + "1011001101": 7.583379189284914e-07, + "1011001110": 7.954991642518057e-07, + "1011001111": 2.138527875425279e-05, + "1011010000": 7.983736948077951e-07, + "1011010001": 1.3628190414956566e-07, + "1011010010": 1.3375787598697906e-07, + "1011010011": 7.592998702840852e-07, + "1011010100": 1.3191846660670297e-07, + "1011010101": 7.036851433430949e-07, + "1011010110": 7.364441819886874e-07, + "1011010111": 1.98226471654322e-05, + "1011011000": 1.4017803630128821e-07, + "1011011001": 7.583524777879135e-07, + "1011011010": 7.36459921075966e-07, + "1011011011": 1.980122614103859e-05, + "1011011100": 7.728163467741171e-07, + "1011011101": 1.9822498210346436e-05, + "1011011110": 2.0699494005815163e-05, + "1011011111": 0.0005101838045715178, + "1011100000": 8.364533074855725e-07, + "1011100001": 1.4273630190925434e-07, + "1011100010": 1.4013296698760475e-07, + "1011100011": 7.954952047333179e-07, + "1011100100": 1.4016550422336723e-07, + "1011100101": 7.601911019997698e-07, + "1011100110": 7.954993939191579e-07, + "1011100111": 2.138536926755942e-05, + "1011101000": 1.3819140034872721e-07, + "1011101001": 7.602058721274603e-07, + "1011101010": 7.381843512914673e-07, + "1011101011": 1.9822691513857882e-05, + "1011101100": 7.728167813511742e-07, + "1011101101": 1.9822498210346436e-05, + "1011101110": 2.0699601155650595e-05, + "1011101111": 0.0005101850745897166, + "1011110000": 1.4472911699629865e-07, + "1011110001": 7.964615638500054e-07, + "1011110010": 7.974116306400883e-07, + "1011110011": 2.1385320760048415e-05, + "1011110100": 7.746718126559162e-07, + "1011110101": 1.984389839803651e-05, + "1011110110": 2.0699499548310046e-05, + "1011110111": 0.0005101850784715499, + "1011111000": 8.113900948313364e-07, + "1011111001": 2.140858531236431e-05, + "1011111010": 2.072234343578768e-05, + "1011111011": 0.0005101839186015605, + "1011111100": 2.174348013457347e-05, + "1011111101": 0.0005107319829928057, + "1011111110": 0.0005334861900934387, + "1011111111": 0.013189586290314791, + "1100000000": 0.0005598178843653702, + "1100000001": 2.2704610664480034e-05, + "1100000010": 2.1743480134573452e-05, + "1100000011": 8.540124755542006e-07, + "1100000100": 2.1720234412534484e-05, + "1100000101": 8.138171454225742e-07, + "1100000110": 8.36805121997643e-07, + "1100000111": 1.474644818026442e-07, + "1100001000": 2.172028450819209e-05, + "1100001001": 8.119578140225599e-07, + "1100001010": 7.746572123862313e-07, + "1100001011": 1.407910435926565e-07, + "1100001100": 8.357957805503407e-07, + "1100001101": 1.4278243980996183e-07, + "1100001110": 1.4681449249119794e-07, + "1100001111": 8.341058546766851e-07, + "1100010000": 2.1720289549490672e-05, + "1100010001": 8.119144123072703e-07, + "1100010010": 7.728163467741169e-07, + "1100010011": 1.428108294160489e-07, + "1100010100": 7.737313736760924e-07, + "1100010101": 1.3437856338824742e-07, + "1100010110": 1.401651966743181e-07, + "1100010111": 7.965044342386938e-07, + "1100011000": 8.357915963833816e-07, + "1100011001": 1.4481422399743572e-07, + "1100011010": 1.401639783739752e-07, + "1100011011": 7.945631031273445e-07, + "1100011100": 1.4687950562914868e-07, + "1100011101": 7.954952047333179e-07, + "1100011110": 8.34450034336035e-07, + "1100011111": 2.2405424776980822e-05, + "1100100000": 2.1720188601572076e-05, + "1100100001": 8.119580318282488e-07, + "1100100010": 7.72816781351174e-07, + "1100100011": 1.428108294160489e-07, + "1100100100": 7.719248200890801e-07, + "1100100101": 1.3627075313350912e-07, + "1100100110": 1.4216268690514094e-07, + "1100100111": 8.21260400455811e-07, + "1100101000": 7.73760404934611e-07, + "1100101001": 1.3626985622369698e-07, + "1100101010": 1.3191608174860926e-07, + "1100101011": 7.602309962730232e-07, + "1100101100": 1.4019651385892188e-07, + "1100101101": 7.592998702840852e-07, + "1100101110": 7.964495550333624e-07, + "1100101111": 2.1386071678806006e-05, + "1100110000": 8.358209609685866e-07, + "1100110001": 1.448137114008142e-07, + "1100110010": 1.4216095107955e-07, + "1100110011": 8.192540480226542e-07, + "1100110100": 1.4019600112284995e-07, + "1100110101": 7.592802159256173e-07, + "1100110110": 7.945822245276199e-07, + "1100110111": 2.136242978227354e-05, + "1100111000": 1.4686012469054616e-07, + "1100111001": 8.202295953021375e-07, + "1100111010": 7.964454695298745e-07, + "1100111011": 2.1362471628657152e-05, + "1100111100": 8.357957805503408e-07, + "1100111101": 2.1385320760048415e-05, + "1100111110": 2.2331663538248693e-05, + "1100111111": 0.0005504576740293695, + "1101000000": 2.174415609838607e-05, + "1101000001": 8.138147822473148e-07, + "1101000010": 7.746718126559157e-07, + "1101000011": 1.407910435926565e-07, + "1101000100": 7.737461890094975e-07, + "1101000101": 1.3438104549566173e-07, + "1101000110": 1.4016468413031817e-07, + "1101000111": 7.96504200675249e-07, + "1101001000": 7.737747890152119e-07, + "1101001001": 1.36272337704878e-07, + "1101001010": 1.3191897506473975e-07, + "1101001011": 7.602506537901731e-07, + "1101001100": 1.4019600112284995e-07, + "1101001101": 7.593000921393258e-07, + "1101001110": 7.964493440032125e-07, + "1101001111": 2.138606596986487e-05, + "1101010000": 7.755986599306757e-07, + "1101010001": 1.3437963372517318e-07, + "1101010010": 1.3191846660670297e-07, + "1101010011": 7.602309962730232e-07, + "1101010100": 1.3009175924816935e-07, + "1101010101": 7.04559964445355e-07, + "1101010110": 7.373173418289964e-07, + "1101010111": 1.9822857885277798e-05, + "1101011000": 1.3822271807917489e-07, + "1101011001": 7.592947657330594e-07, + "1101011010": 7.37332627450321e-07, + "1101011011": 1.9801418656396045e-05, + "1101011100": 7.737313736760924e-07, + "1101011101": 1.9822691513857882e-05, + "1101011110": 2.069978408555353e-05, + "1101011111": 0.0005102111675699216, + "1101100000": 8.37805505775836e-07, + "1101100001": 1.4278357113950627e-07, + "1101100010": 1.4016550422336723e-07, + "1101100011": 7.945631031273445e-07, + "1101100100": 1.401980342491824e-07, + "1101100101": 7.593003349800811e-07, + "1101100110": 7.945824545244858e-07, + "1101100111": 2.1362424077239765e-05, + "1101101000": 1.382252504494736e-07, + "1101101001": 7.593146664095273e-07, + "1101101010": 7.373330877723032e-07, + "1101101011": 1.9801418656396045e-05, + "1101101100": 7.719248200890803e-07, + "1101101101": 1.980122614103859e-05, + "1101101110": 2.0677370497655757e-05, + "1101101111": 0.0005096363287308362, + "1101110000": 1.447956486109707e-07, + "1101110001": 7.955047124654188e-07, + "1101110010": 7.964602028438815e-07, + "1101110011": 2.1362471628657152e-05, + "1101110100": 7.737461890094977e-07, + "1101110101": 1.9822697436001296e-05, + "1101110110": 2.0677376037063357e-05, + "1101110111": 0.000509637593350527, + "1101111000": 8.104261342798046e-07, + "1101111001": 2.138570608360328e-05, + "1101111010": 2.0700189879179025e-05, + "1101111011": 0.000509636441835144, + "1101111100": 2.172023441253449e-05, + "1101111101": 0.0005101839186015605, + "1101111110": 0.0005329137204205861, + "1101111111": 0.01317543453370633, + "1110000000": 2.2774789134034654e-05, + "1110000001": 8.523882685693832e-07, + "1110000010": 8.113900948313366e-07, + "1110000011": 1.4746448180264416e-07, + "1110000100": 8.104261342798046e-07, + "1110000101": 1.4073836931106773e-07, + "1110000110": 1.4679562919841164e-07, + "1110000111": 8.34107619598003e-07, + "1110001000": 8.104222025634249e-07, + "1110001001": 1.4276063872639068e-07, + "1110001010": 1.3818937171927422e-07, + "1110001011": 7.96504200675249e-07, + "1110001100": 1.4686012469054616e-07, + "1110001101": 7.95514633697149e-07, + "1110001110": 8.344458285308046e-07, + "1110001111": 2.240546965461681e-05, + "1110010000": 8.10450809807058e-07, + "1110010001": 1.427601297682557e-07, + "1110010010": 1.401780363012882e-07, + "1110010011": 8.21260400455811e-07, + "1110010100": 1.3822271807917489e-07, + "1110010101": 7.611402585093584e-07, + "1110010110": 7.964784806934839e-07, + "1110010111": 2.1386114656745783e-05, + "1110011000": 1.4684083500994477e-07, + "1110011001": 8.20249600608511e-07, + "1110011010": 7.964746067285472e-07, + "1110011011": 2.1362424077239765e-05, + "1110011100": 8.357915963833817e-07, + "1110011101": 2.138536926755942e-05, + "1110011110": 2.2331709067580703e-05, + "1110011111": 0.0005504587786682654, + "1110100000": 8.123756603362546e-07, + "1110100001": 1.407394927730244e-07, + "1110100010": 1.3819140034872716e-07, + "1110100011": 7.965044342386938e-07, + "1110100100": 1.382252504494736e-07, + "1110100101": 7.61160156286371e-07, + "1110100110": 7.964789218501929e-07, + "1110100111": 2.1386114656745783e-05, + "1110101000": 1.3626070111891973e-07, + "1110101001": 7.611550442623875e-07, + "1110101010": 7.390739984820824e-07, + "1110101011": 1.9822857885277798e-05, + "1110101100": 7.737604049346111e-07, + "1110101101": 1.9822647165432207e-05, + "1110101110": 2.069983620463533e-05, + "1110101111": 0.0005102123282251345, + "1110110000": 1.447769218254449e-07, + "1110110001": 7.955243786739662e-07, + "1110110010": 7.96489554518915e-07, + "1110110011": 2.136242978227354e-05, + "1110110100": 7.737747890152121e-07, + "1110110101": 1.982265308759929e-05, + "1110110110": 2.0677320994639796e-05, + "1110110111": 0.0005096374841281233, + "1110111000": 8.104222025634247e-07, + "1110111001": 2.1385760303083115e-05, + "1110111010": 2.070024200198277e-05, + "1110111011": 0.000509637593350527, + "1110111100": 2.17202845081921e-05, + "1110111101": 0.0005101850784715499, + "1110111110": 0.000532914932251639, + "1110111111": 0.013175464509614567, + "1111000000": 8.508854649795347e-07, + "1111000001": 1.4741089052666676e-07, + "1111000010": 1.4472911699629865e-07, + "1111000011": 8.341058546766851e-07, + "1111000100": 1.447956486109707e-07, + "1111000101": 7.974551134168503e-07, + "1111000110": 8.344750615048989e-07, + "1111000111": 2.240546965461681e-05, + "1111001000": 1.447769218254449e-07, + "1111001001": 8.222550929302692e-07, + "1111001010": 7.983592026759807e-07, + "1111001011": 2.138606596986487e-05, + "1111001100": 8.358209609685869e-07, + "1111001101": 2.138527875425279e-05, + "1111001110": 2.2331714183099e-05, + "1111001111": 0.0005504587829835813, + "1111010000": 1.427226382940036e-07, + "1111010001": 7.974646098937357e-07, + "1111010010": 7.983736948077957e-07, + "1111010011": 2.1386071678806006e-05, + "1111010100": 7.755986599306759e-07, + "1111010101": 1.9844071377793428e-05, + "1111010110": 2.0699740144694265e-05, + "1111010111": 0.0005102123282251345, + "1111011000": 8.104508098070578e-07, + "1111011001": 2.1385669782885254e-05, + "1111011010": 2.070014039223012e-05, + "1111011011": 0.0005096363287308362, + "1111011100": 2.172028954949068e-05, + "1111011101": 0.0005101850745897166, + "1111011110": 0.0005329149355874633, + "1111011111": 0.013175464602200027, + "1111100000": 1.4948835684517452e-07, + "1111100001": 8.351111952830546e-07, + "1111100010": 8.364533074855725e-07, + "1111100011": 2.2405424776980822e-05, + "1111100100": 8.378055057758364e-07, + "1111100101": 2.1408953648019466e-05, + "1111100110": 2.2331617072918035e-05, + "1111100111": 0.0005504587786682654, + "1111101000": 8.123756603362544e-07, + "1111101001": 2.1409338829043796e-05, + "1111101010": 2.072260285578193e-05, + "1111101011": 0.0005102111675699216, + "1111101100": 2.1720188601572082e-05, + "1111101101": 0.0005101838045715178, + "1111101110": 0.000532914928144495, + "1111101111": 0.013175464602200027, + "1111110000": 8.508854649795345e-07, + "1111110001": 2.2429638959898878e-05, + "1111110010": 2.2356696053385456e-05, + "1111110011": 0.0005504576740293695, + "1111110100": 2.1744156098386086e-05, + "1111110101": 0.0005107594131039181, + "1111110110": 0.0005329137509085077, + "1111110111": 0.013175464509614567, + "1111111000": 2.2774789134034654e-05, + "1111111001": 0.0005510589810222401, + "1111111010": 0.000533525090959315, + "1111111011": 0.01317543453370633, + "1111111100": 0.0005598178843653708, + "1111111101": 0.013189586290314791, + "1111111110": 0.013776993889487884, + "1111111111": 0.3405808248019336 }, "Exact TFIM - Qubits11": { - "00000000000": 0.49166585419578385, - "00000000001": 0.0007769915613156688, - "00000000010": 0.0007462294879498033, - "00000000011": 1.2334206756173626e-06, - "00000000100": 0.0007461990998948399, - "00000000101": 1.1792879969761396e-06, - "00000000110": 1.2168955046518746e-06, - "00000000111": 1.954451541640528e-09, - "00000001000": 0.0007461991023152659, - "00000001001": 1.179236667609814e-06, - "00000001010": 1.1325977077885504e-06, - "00000001011": 1.8720387734165353e-09, - "00000001100": 1.216845157202788e-06, - "00000001101": 1.923095329318157e-09, - "00000001110": 1.928726964729018e-09, - "00000001111": 3.0968447538839614e-12, - "00000010000": 0.0007461991023155797, - "00000010001": 1.179236671536345e-06, - "00000010010": 1.1325492040401357e-06, - "00000010011": 1.8719573584127132e-09, - "00000010100": 1.1325515854986913e-06, - "00000010101": 1.7898770682079812e-09, - "00000010110": 1.8469579676635014e-09, - "00000010111": 2.9662454037772374e-12, - "00000011000": 1.2168451606689695e-06, - "00000011001": 1.9230103689674314e-09, - "00000011010": 1.8469567642958488e-09, - "00000011011": 3.0526335806522614e-12, - "00000011100": 1.928647689880546e-09, - "00000011101": 3.0478748038305223e-12, - "00000011110": 3.0556038498178266e-12, - "00000011111": 4.9671825210020426e-15, - "00000100000": 0.0007461991023155797, - "00000100001": 1.1792366715368647e-06, - "00000100010": 1.1325492082600666e-06, - "00000100011": 1.871957364340824e-09, - "00000100100": 1.132503084222899e-06, - "00000100101": 1.7898004197701726e-09, - "00000100110": 1.8468771356135698e-09, - "00000100111": 2.966114000859188e-12, - "00000101000": 1.132551589172362e-06, - "00000101001": 1.7897991651682701e-09, - "00000101010": 1.719012343997528e-09, - "00000101011": 2.8411667432480117e-12, - "00000101100": 1.8468815523369023e-09, - "00000101101": 2.9186595260626017e-12, - "00000101110": 2.9272495538870665e-12, - "00000101111": 4.757704542011165e-15, - "00000110000": 1.2168451606695296e-06, - "00000110001": 1.9230103743096145e-09, - "00000110010": 1.8468759314977592e-09, - "00000110011": 3.0524963914286443e-12, - "00000110100": 1.8468815516070647e-09, - "00000110101": 2.9186576139857317e-12, - "00000110110": 3.01178268856923e-12, - "00000110111": 4.894977603156805e-15, - "00000111000": 1.928647695333255e-09, - "00000111001": 3.047738544407684e-12, - "00000111010": 2.927248441844569e-12, - "00000111011": 4.896542032378551e-15, - "00000111100": 3.0554782084736026e-12, - "00000111101": 4.886966495043925e-15, - "00000111110": 4.849846039763449e-15, - "00000111111": 4.9671825210020465e-15, - "00001000000": 0.0007461991023155797, - "00001000001": 1.1792366715368637e-06, - "00001000010": 1.1325492082605166e-06, - "00001000011": 1.871957364317534e-09, - "00001000100": 1.1325030884426178e-06, - "00001000101": 1.7898004261548247e-09, - "00001000110": 1.8468771414594525e-09, - "00001000111": 2.9661143731298172e-12, - "00001001000": 1.1325030878963741e-06, - "00001001001": 1.7897225209087559e-09, - "00001001010": 1.7189387297610548e-09, - "00001001011": 2.8410427720387138e-12, - "00001001100": 1.8468007236568947e-09, - "00001001101": 2.9185294617987695e-12, - "00001001110": 2.9271205105786013e-12, - "00001001111": 4.758746580848468e-15, - "00001010000": 1.1325515891728396e-06, - "00001010001": 1.7897991708437172e-09, - "00001010010": 1.7189387290061059e-09, - "00001010011": 2.841040876529056e-12, - "00001010100": 1.7189423415390764e-09, - "00001010101": 2.71647098578221e-12, - "00001010110": 2.8031463506339416e-12, - "00001010111": 4.557060809168498e-15, - "00001011000": 1.8468815575917164e-09, - "00001011001": 2.9185282532122286e-12, - "00001011010": 2.803147164812789e-12, - "00001011011": 4.688567512743358e-15, - "00001011100": 2.9271291731839332e-12, - "00001011101": 4.681673692488324e-15, - "00001011110": 4.6453303546683e-15, - "00001011111": 4.75770454201116e-15, - "00001100000": 1.2168451606695296e-06, - "00001100001": 1.923010374286121e-09, - "00001100010": 1.846875937343701e-09, - "00001100011": 3.052496768153273e-12, - "00001100100": 1.846800722927153e-09, - "00001100101": 2.9185275485134747e-12, - "00001100110": 3.011647165758104e-12, - "00001100111": 4.896020877977637e-15, - "00001101000": 1.8468815575917909e-09, - "00001101001": 2.918528252028344e-12, - "00001101010": 2.803144524795108e-12, - "00001101011": 4.688564457245608e-15, - "00001101100": 3.0116580155185365e-12, - "00001101101": 4.8152577906061825e-15, - "00001101110": 4.780881507765391e-15, - "00001101111": 4.75874658084846e-15, - "00001110000": 1.928647695334101e-09, - "00001110001": 3.047738920619737e-12, - "00001110010": 2.9271193972886714e-12, - "00001110011": 4.8975924449499116e-15, - "00001110100": 2.9271291719744825e-12, - "00001110101": 4.681671888479687e-15, - "00001110110": 4.780882791633389e-15, - "00001110111": 4.7583457056536625e-15, - "00001111000": 3.0554782238026557e-12, - "00001111001": 4.888015263090725e-15, - "00001111010": 4.64532798934392e-15, - "00001111011": 4.758341912385755e-15, - "00001111100": 4.849633306226174e-15, - "00001111101": 4.758504242546466e-15, - "00001111110": 5.004004833817214e-15, - "00001111111": 3.0968447538839606e-12, - "00010000000": 0.0007461991023152659, - "00010000001": 1.179236671536367e-06, - "00010000010": 1.1325492082600376e-06, - "00010000011": 1.871957364318597e-09, - "00010000100": 1.1325030884425916e-06, - "00010000101": 1.789800426131763e-09, - "00010000110": 1.8468771414388755e-09, - "00010000111": 2.966114390272514e-12, - "00010001000": 1.132503092115616e-06, - "00010001001": 1.789722527288494e-09, - "00010001010": 1.7189387358534462e-09, - "00010001011": 2.8410431297649767e-12, - "00010001100": 1.8468007295014816e-09, - "00010001101": 2.9185298235419415e-12, - "00010001110": 2.9271209031756464e-12, - "00010001111": 4.7583457056536696e-15, - "00010010000": 1.1325030878963741e-06, - "00010010001": 1.7897225265793238e-09, - "00010010010": 1.7188651187107876e-09, - "00010010011": 2.8409168748972254e-12, - "00010010100": 1.7188687303019815e-09, - "00010010101": 2.716352453831601e-12, - "00010010110": 2.803024665548314e-12, - "00010010111": 4.558061947731372e-15, - "00010011000": 1.8468007289106608e-09, - "00010011001": 2.9183981572058303e-12, - "00010011010": 2.8030228409106122e-12, - "00010011011": 4.689568486836465e-15, - "00010011100": 2.927000133959113e-12, - "00010011101": 4.682680714115515e-15, - "00010011110": 4.645657761884329e-15, - "00010011111": 4.8949776031568e-15, - "00010100000": 1.132551589172362e-06, - "00010100001": 1.7897991708207309e-09, - "00010100010": 1.7189387350985574e-09, - "00010100011": 2.841041233086996e-12, - "00010100100": 1.718868730302041e-09, - "00010100101": 2.716352452611889e-12, - "00010100110": 2.8030220255091994e-12, - "00010100111": 4.558058903736682e-15, - "00010101000": 1.7189423471084613e-09, - "00010101001": 2.7163505502191356e-12, - "00010101010": 2.608960483894871e-12, - "00010101011": 4.3648957180274245e-15, - "00010101100": 2.8030303129588645e-12, - "00010101101": 4.482822075451473e-15, - "00010101110": 4.450189037247084e-15, - "00010101111": 4.5570608091684954e-15, - "00010110000": 1.8468815575917909e-09, - "00010110001": 2.918528613760345e-12, - "00010110010": 2.8030228396605824e-12, - "00010110011": 4.689566689195338e-15, - "00010110100": 2.803032951741815e-12, - "00010110101": 4.4828233487224886e-15, - "00010110110": 4.577805689815756e-15, - "00010110111": 4.55806194773137e-15, - "00010111000": 2.9271291878570817e-12, - "00010111001": 4.682678178386983e-15, - "00010111010": 4.450189735514948e-15, - "00010111011": 4.557684272267063e-15, - "00010111100": 4.645126576223763e-15, - "00010111101": 4.557827381030095e-15, - "00010111110": 4.792977103191021e-15, - "00010111111": 2.9662454037772366e-12, - "00011000000": 1.2168451606689695e-06, - "00011000001": 1.923010374287112e-09, - "00011000010": 1.8468759373230494e-09, - "00011000011": 3.0524967855225516e-12, - "00011000100": 1.8468007287716637e-09, - "00011000101": 2.918527910260177e-12, - "00011000110": 3.0116475632484613e-12, - "00011000111": 4.89561412818973e-15, - "00011001000": 1.8468007289106608e-09, - "00011001001": 2.9183981560252893e-12, - "00011001010": 2.8030201997940365e-12, - "00011001011": 4.689565440745866e-15, - "00011001100": 3.0115224971229296e-12, - "00011001101": 4.816258863432545e-15, - "00011001110": 4.781199812774577e-15, - "00011001111": 4.896020877977627e-15, - "00011010000": 1.8468815575917164e-09, - "00011010001": 2.9185286137636776e-12, - "00011010010": 2.803022838565731e-12, - "00011010011": 4.6895667080037086e-15, - "00011010100": 2.803030311851075e-12, - "00011010101": 4.482819146238571e-15, - "00011010110": 4.577802692627338e-15, - "00011010111": 4.558058903736679e-15, - "00011011000": 3.011658030577904e-12, - "00011011001": 4.816259410134473e-15, - "00011011010": 4.577802107355603e-15, - "00011011011": 4.559090999552099e-15, - "00011011100": 4.7806714505745654e-15, - "00011011101": 4.558853715605596e-15, - "00011011110": 4.794696583300394e-15, - "00011011111": 2.9661140008591875e-12, - "00011100000": 1.928647695333255e-09, - "00011100001": 3.0477389380015617e-12, - "00011100010": 2.9271197898859084e-12, - "00011100011": 4.8971857533559604e-15, - "00011100100": 2.9270001327496973e-12, - "00011100101": 4.6826789193977165e-15, - "00011100110": 4.781201096390559e-15, - "00011100111": 4.895614128189723e-15, - "00011101000": 2.9271291878570805e-12, - "00011101001": 4.682678197139791e-15, - "00011101010": 4.45018674147296e-15, - "00011101011": 4.5576812468135984e-15, - "00011101100": 4.780671450482725e-15, - "00011101101": 4.5588537342592356e-15, - "00011101110": 4.794329891702267e-15, - "00011101111": 2.966114373129817e-12, - "00011110000": 3.0554782238026557e-12, - "00011110001": 4.887608937607984e-15, - "00011110010": 4.645655384740824e-15, - "00011110011": 4.895610323234334e-15, - "00011110100": 4.645126574220193e-15, - "00011110101": 4.557824354354121e-15, - "00011110110": 4.79469660666768e-15, - "00011110111": 2.966114390272513e-12, - "00011111000": 4.8496266437084774e-15, - "00011111001": 4.895782093539992e-15, - "00011111010": 4.792977855431214e-15, - "00011111011": 2.966114371997581e-12, - "00011111100": 5.012907606564763e-15, - "00011111101": 2.9662352743255233e-12, - "00011111110": 3.0884701539568138e-12, - "00011111111": 1.9544515416405273e-09, - "00100000000": 0.0007461990998948399, - "00100000001": 1.1792366677113042e-06, - "00100000010": 1.1325492045864131e-06, - "00100000011": 1.8719573582525214e-09, - "00100000100": 1.132503084769115e-06, - "00100000101": 1.7898004203334847e-09, - "00100000110": 1.8468771354563345e-09, - "00100000111": 2.9661143719975822e-12, - "00100001000": 1.1325030884425916e-06, - "00100001001": 1.7897225214661151e-09, - "00100001010": 1.7189387302646858e-09, - "00100001011": 2.841043130864382e-12, - "00100001100": 1.8468007234973086e-09, - "00100001101": 2.9185298245068586e-12, - "00100001110": 2.927120900325318e-12, - "00100001111": 4.7583419123857635e-15, - "00100010000": 1.1325030884426178e-06, - "00100010001": 1.789722527159759e-09, - "00100010010": 1.7188651192296248e-09, - "00100010011": 2.840917222063581e-12, - "00100010100": 1.7188687308248192e-09, - "00100010101": 2.7163527815246858e-12, - "00100010110": 2.803025027563348e-12, - "00100010111": 4.557684272267066e-15, - "00100011000": 1.8468007287716637e-09, - "00100011001": 2.9183985081243956e-12, - "00100011010": 2.803023201827354e-12, - "00100011011": 4.689185275903738e-15, - "00100011100": 2.927000510926828e-12, - "00100011101": 4.682297893035362e-15, - "00100011110": 4.645257091815748e-15, - "00100011111": 4.896542032378543e-15, - "00100100000": 1.132503084222899e-06, - "00100100001": 1.7897225207570206e-09, - "00100100010": 1.7188651192296848e-09, - "00100100011": 2.8409172208950714e-12, - "00100100100": 1.7187951174379382e-09, - "00100100101": 2.716233876736093e-12, - "00100100110": 2.802900303864713e-12, - "00100100111": 4.559090999552102e-15, - "00100101000": 1.718868730302041e-09, - "00100101001": 2.716231973230621e-12, - "00100101010": 2.6088471882592926e-12, - "00100101011": 4.365860603963388e-15, - "00100101100": 2.8029086164573183e-12, - "00100101101": 4.4837903632909796e-15, - "00100101110": 4.450511728509612e-15, - "00100101111": 4.688567512743356e-15, - "00100110000": 1.846800722927153e-09, - "00100110001": 2.9183985069291334e-12, - "00100110010": 2.802898478097253e-12, - "00100110011": 4.690598929454928e-15, - "00100110100": 2.802908616444403e-12, - "00100110101": 4.483787415523041e-15, - "00100110110": 4.578112977980771e-15, - "00100110111": 4.689568486836461e-15, - "00100111000": 2.927000132749699e-12, - "00100111001": 4.683716513587954e-15, - "00100111010": 4.450509412041291e-15, - "00100111011": 4.689185275903736e-15, - "00100111100": 4.645460744011185e-15, - "00100111101": 4.689333648318342e-15, - "00100111110": 4.9306051972947955e-15, - "00100111111": 3.05263358065226e-12, - "00101000000": 1.1325515854986913e-06, - "00101000001": 1.7897991650223954e-09, - "00101000010": 1.7189387295097381e-09, - "00101000011": 2.841041234189658e-12, - "00101000100": 1.7188687308248192e-09, - "00101000101": 2.7163527803085477e-12, - "00101000110": 2.8030223864294607e-12, - "00101000111": 4.557681246813602e-15, - "00101001000": 1.7188687303019815e-09, - "00101001001": 2.7162319732341967e-12, - "00101001010": 2.6088471871132706e-12, - "00101001011": 4.365860613425935e-15, - "00101001100": 2.802905976562568e-12, - "00101001101": 4.483786151709192e-15, - "00101001110": 4.4505087251958766e-15, - "00101001111": 4.688564457245605e-15, - "00101010000": 1.7189423415390764e-09, - "00101010001": 2.7163508768357544e-12, - "00101010010": 2.6088471871139245e-12, - "00101010011": 4.365857682837803e-15, - "00101010100": 2.6088541675767553e-12, - "00101010101": 4.1733602896612375e-15, - "00101010110": 4.261156591974202e-15, - "00101010111": 4.364895718027426e-15, - "00101011000": 2.803030311851075e-12, - "00101011001": 4.483783698785637e-15, - "00101011010": 4.2611572497145796e-15, - "00101011011": 4.365860603963386e-15, - "00101011100": 4.4499998962093555e-15, - "00101011101": 4.365639402826897e-15, - "00101011110": 4.590861603876242e-15, - "00101011111": 2.8411667432480092e-12, - "00101100000": 1.8468815516070647e-09, - "00101100001": 2.9185286147252226e-12, - "00101100010": 2.8030232005773468e-12, - "00101100011": 4.689183496853591e-15, - "00101100100": 2.802908616444403e-12, - "00101100101": 4.4837874249755405e-15, - "00101100110": 4.5781099714178266e-15, - "00101100111": 4.689565440745864e-15, - "00101101000": 2.803032951741815e-12, - "00101101001": 4.48378791979222e-15, - "00101101010": 4.2611572496786675e-15, - "00101101011": 4.365860613425933e-15, - "00101101100": 4.577609161136967e-15, - "00101101101": 4.366988450882265e-15, - "00101101110": 4.592527680137582e-15, - "00101101111": 2.841042772038711e-12, - "00101110000": 2.927129171974485e-12, - "00101110001": 4.6822953555057604e-15, - "00101110010": 4.450509409398807e-15, - "00101110011": 4.689182227788256e-15, - "00101110100": 4.450002888174635e-15, - "00101110101": 4.365639410856505e-15, - "00101110110": 4.5925276778753074e-15, - "00101110111": 2.8410431297649755e-12, - "00101111000": 4.645126574220193e-15, - "00101111001": 4.689334246632645e-15, - "00101111010": 4.590865381503635e-15, - "00101111011": 2.84104313086438e-12, - "00101111100": 4.8015233066806604e-15, - "00101111101": 2.8411589330839184e-12, - "00101111110": 2.9582395711964627e-12, - "00101111111": 1.872038773416534e-09, - "00110000000": 1.216845157202788e-06, - "00110000001": 1.9230103688154544e-09, - "00110000010": 1.8468759320703605e-09, - "00110000011": 3.0524967680465254e-12, - "00110000100": 1.8468007234973086e-09, - "00110000101": 2.9185279123786283e-12, - "00110000110": 3.011647561353107e-12, - "00110000111": 4.89561032323434e-15, - "00110001000": 1.8468007295014816e-09, - "00110001001": 2.9183985080973834e-12, - "00110001010": 2.8030205618222117e-12, - "00110001011": 4.68918222778826e-15, - "00110001100": 3.0115228798109464e-12, - "00110001101": 4.815870372453155e-15, - "00110001110": 4.780793274643903e-15, - "00110001111": 4.8975924449499045e-15, - "00110010000": 1.8468007236568947e-09, - "00110010001": 2.9183985080859923e-12, - "00110010010": 2.80289847811374e-12, - "00110010011": 4.6905989463530246e-15, - "00110010100": 2.802905976562568e-12, - "00110010101": 4.483783223845743e-15, - "00110010110": 4.578109985404805e-15, - "00110010111": 4.689566689195335e-15, - "00110011000": 3.0115224971229296e-12, - "00110011001": 4.8172920156551374e-15, - "00110011010": 4.5781063822266345e-15, - "00110011011": 4.690598929454927e-15, - "00110011100": 4.780996605148468e-15, - "00110011101": 4.69036129823898e-15, - "00110011110": 4.932335813526617e-15, - "00110011111": 3.0524963914286427e-12, - "00110100000": 1.8468815523369023e-09, - "00110100001": 2.9185286158787825e-12, - "00110100010": 2.8030232016887015e-12, - "00110100011": 4.689183494897084e-15, - "00110100100": 2.8029086164573183e-12, - "00110100101": 4.48378744485188e-15, - "00110100110": 4.578109985341173e-15, - "00110100111": 4.6895667080037054e-15, - "00110101000": 2.8030303129588645e-12, - "00110101001": 4.483783718596878e-15, - "00110101010": 4.261153251176066e-15, - "00110101011": 4.365857682837803e-15, - "00110101100": 4.577606165965315e-15, - "00110101101": 4.366985532872551e-15, - "00110101110": 4.592524608224155e-15, - "00110101111": 2.841040876529055e-12, - "00110110000": 3.0116580155185365e-12, - "00110110001": 4.815870898404216e-15, - "00110110010": 4.5781093860139e-15, - "00110110011": 4.6905989463530214e-15, - "00110110100": 4.577609161136967e-15, - "00110110101": 4.36698553144121e-15, - "00110110110": 4.5945808160352305e-15, - "00110110111": 2.840916874897224e-12, - "00110111000": 4.780671450482723e-15, - "00110111001": 4.690364970617689e-15, - "00110111010": 4.592528378446632e-15, - "00110111011": 2.840917222063579e-12, - "00110111100": 4.80324418532249e-15, - "00110111101": 2.841033039819286e-12, - "00110111110": 2.9581079123253863e-12, - "00110111111": 1.871957358412712e-09, - "00111000000": 1.928647689880546e-09, - "00111000001": 3.0477389206034683e-12, - "00111000010": 2.9271197882449913e-12, - "00111000011": 4.897181913758756e-15, - "00111000100": 2.927000510926828e-12, - "00111000101": 4.682296096327737e-15, - "00111000110": 4.7807945582949396e-15, - "00111000111": 4.897185753355955e-15, - "00111001000": 2.927000133959112e-12, - "00111001001": 4.683716530521579e-15, - "00111001010": 4.450506422603727e-15, - "00111001011": 4.689183496853587e-15, - "00111001100": 4.780996605148468e-15, - "00111001101": 4.690361316998448e-15, - "00111001110": 4.931963659423489e-15, - "00111001111": 3.0524967681532717e-12, - "00111010000": 2.927129173183932e-12, - "00111010001": 4.682295353640321e-15, - "00111010010": 4.450509423310104e-15, - "00111010011": 4.689183494897082e-15, - "00111010100": 4.4499998962093555e-15, - "00111010101": 4.365636501873276e-15, - "00111010110": 4.59252463408925e-15, - "00111010111": 2.8410412330869935e-12, - "00111011000": 4.780671450574567e-15, - "00111011001": 4.6903649705245845e-15, - "00111011010": 4.592528406574093e-15, - "00111011011": 2.8409172208950693e-12, - "00111011100": 4.802877181933576e-15, - "00111011101": 2.8410333844866626e-12, - "00111011110": 2.9581082539896674e-12, - "00111011111": 1.871957364340823e-09, - "00111100000": 3.0554782084736026e-12, - "00111100001": 4.887605106296562e-15, - "00111100010": 4.645254716657318e-15, - "00111100011": 4.897181913758749e-15, - "00111100100": 4.645460744011187e-15, - "00111100101": 4.689331868145767e-15, - "00111100110": 4.932335837161395e-15, - "00111100111": 3.05249678552255e-12, - "00111101000": 4.645126576223763e-15, - "00111101001": 4.6893355138669676e-15, - "00111101010": 4.590862318885663e-15, - "00111101011": 2.841041234189657e-12, - "00111101100": 4.80324418532249e-15, - "00111101101": 2.8410330386540302e-12, - "00111101110": 2.958108253992657e-12, - "00111101111": 1.8719573643175325e-09, - "00111110000": 4.849633306226174e-15, - "00111110001": 4.8973520599051405e-15, - "00111110010": 4.9306059653928904e-15, - "00111110011": 3.052496768046524e-12, - "00111110100": 4.8015233066806604e-15, - "00111110101": 2.8411570375794153e-12, - "00111110110": 2.958107912279528e-12, - "00111110111": 1.871957364318596e-09, - "00111111000": 5.012907606564762e-15, - "00111111001": 3.052623177990952e-12, - "00111111010": 2.958239670615984e-12, - "00111111011": 1.8719573582525198e-09, - "00111111100": 3.0940314565415676e-12, - "00111111101": 1.8720335912553502e-09, - "00111111110": 1.9492051059678317e-09, - "00111111111": 1.2334206756173621e-06, - "01000000000": 0.0007462294879498033, - "01000000001": 1.1792846906972286e-06, - "01000000010": 1.132595326281885e-06, - "01000000011": 1.872033591255352e-09, - "01000000100": 1.1325492045864131e-06, - "01000000101": 1.7898733076030293e-09, - "01000000110": 1.8469523471393899e-09, - "01000000111": 2.9662352743255233e-12, - "01000001000": 1.1325492082600376e-06, - "01000001001": 1.7897954055619932e-09, - "01000001010": 1.7190087318211218e-09, - "01000001011": 2.8411589330839196e-12, - "01000001100": 1.8468759320703605e-09, - "01000001101": 2.9186487833999912e-12, - "01000001110": 2.9272401669648455e-12, - "01000001111": 4.758504242546472e-15, - "01000010000": 1.1325492082605166e-06, - "01000010001": 1.7897954112317213e-09, - "01000010010": 1.718935117764958e-09, - "01000010011": 2.8410330398192882e-12, - "01000010100": 1.7189387295097381e-09, - "01000010101": 2.7164635191798703e-12, - "01000010110": 2.8031392523702906e-12, - "01000010111": 4.557827381030097e-15, - "01000011000": 1.8468759373230494e-09, - "01000011001": 2.9185174825879965e-12, - "01000011010": 2.80313742656285e-12, - "01000011011": 4.6893336483183435e-15, - "01000011100": 2.9271197882449913e-12, - "01000011101": 4.682445630253457e-15, - "01000011110": 4.645452517664944e-15, - "01000011111": 4.886966495043922e-15, - "01000100000": 1.1325492082600666e-06, - "01000100001": 1.7897954112317964e-09, - "01000100010": 1.7189351238728456e-09, - "01000100011": 2.8410333844866634e-12, - "01000100100": 1.7188651192296848e-09, - "01000100101": 2.7163449425669063e-12, - "01000100110": 2.803014894739495e-12, - "01000100111": 4.558853715605598e-15, - "01000101000": 1.7189387350985574e-09, - "01000101001": 2.7163430389870743e-12, - "01000101010": 2.608953845670864e-12, - "01000101011": 4.365639402826899e-15, - "01000101100": 2.8030232016887015e-12, - "01000101101": 4.483568921819487e-15, - "01000101110": 4.450314706418545e-15, - "01000101111": 4.6816736924883224e-15, - "01000110000": 1.846875937343701e-09, - "01000110001": 2.9185178311120803e-12, - "01000110010": 2.803013067802305e-12, - "01000110011": 4.690361298238984e-15, - "01000110100": 2.8030232005773468e-12, - "01000110101": 4.483565995941076e-15, - "01000110110": 4.577916483119497e-15, - "01000110111": 4.682680714115513e-15, - "01000111000": 2.9271197898859092e-12, - "01000111001": 4.683478668423631e-15, - "01000111010": 4.4503124063382685e-15, - "01000111011": 4.682297893035361e-15, - "01000111100": 4.6452547166573165e-15, - "01000111101": 4.682445630253453e-15, - "01000111110": 4.923379277403011e-15, - "01000111111": 3.0478748038305223e-12, - "01001000000": 1.1325492040401357e-06, - "01001000001": 1.7897954048528078e-09, - "01001000010": 1.718935117764958e-09, - "01001000011": 2.8410330386540327e-12, - "01001000100": 1.7188651192296248e-09, - "01001000101": 2.7163449425704574e-12, - "01001000110": 2.8030148936446253e-12, - "01001000111": 4.558853734259237e-15, - "01001001000": 1.7188651187107882e-09, - "01001001001": 2.71622409714639e-12, - "01001001010": 2.608840183667094e-12, - "01001001011": 4.3669884508822674e-15, - "01001001100": 2.80289847811374e-12, - "01001001101": 4.484922325189312e-15, - "01001001110": 4.451032336473368e-15, - "01001001111": 4.8152577906061785e-15, - "01001010000": 1.7189387290061059e-09, - "01001010001": 2.716343037910387e-12, - "01001010010": 2.6088401825180165e-12, - "01001010011": 4.366985532872552e-15, - "01001010100": 2.6088471871139245e-12, - "01001010101": 4.174417815051287e-15, - "01001010110": 4.261639311485936e-15, - "01001010111": 4.482822075451475e-15, - "01001011000": 2.803022838565731e-12, - "01001011001": 4.484919877516688e-15, - "01001011010": 4.261639961581667e-15, - "01001011011": 4.4837903632909796e-15, - "01001011100": 4.450509423310104e-15, - "01001011101": 4.483568921819487e-15, - "01001011110": 4.714283884040786e-15, - "01001011111": 2.9186595260625997e-12, - "01001100000": 1.8468759314977592e-09, - "01001100001": 2.918517481392668e-12, - "01001100010": 2.803013067802305e-12, - "01001100011": 4.690361316998451e-15, - "01001100100": 2.802898478097253e-12, - "01001100101": 4.484919390180068e-15, - "01001100110": 4.578624286245501e-15, - "01001100111": 4.816258863432541e-15, - "01001101000": 2.8030228396605824e-12, - "01001101001": 4.484919877451589e-15, - "01001101010": 4.26163594960583e-15, - "01001101011": 4.48378615170919e-15, - "01001101100": 4.5781093860139e-15, - "01001101101": 4.484922325189314e-15, - "01001101110": 4.7159581920898485e-15, - "01001101111": 2.9185294617987675e-12, - "01001110000": 2.927119397288673e-12, - "01001110001": 4.683478666725428e-15, - "01001110010": 4.451030012872228e-15, - "01001110011": 4.815870372453153e-15, - "01001110100": 4.450509409398808e-15, - "01001110101": 4.4835647307024836e-15, - "01001110110": 4.7159582183310675e-15, - "01001110111": 2.91852982354194e-12, - "01001111000": 4.645655384740824e-15, - "01001111001": 4.816027596621062e-15, - "01001111010": 4.714283342617881e-15, - "01001111011": 2.9185298245068578e-12, - "01001111100": 4.930605965392889e-15, - "01001111101": 2.9186487833999912e-12, - "01001111110": 3.0389232248849637e-12, - "01001111111": 1.9230953293181556e-09, - "01010000000": 1.1325977077885504e-06, - "01010000001": 1.789872053026921e-09, - "01010000010": 1.7190087318211218e-09, - "01010000011": 2.841157037579416e-12, - "01010000100": 1.7189387302646858e-09, - "01010000101": 2.7164635191564245e-12, - "01010000110": 2.803136612362999e-12, - "01010000111": 4.557824354354123e-15, - "01010001000": 1.7189387358534462e-09, - "01010001001": 2.716343040183314e-12, - "01010001010": 2.6089538456739184e-12, - "01010001011": 4.365639410856506e-15, - "01010001100": 2.8030205618222117e-12, - "01010001101": 4.4835647307024836e-15, - "01010001110": 4.450311717612973e-15, - "01010001111": 4.6816718884796835e-15, - "01010010000": 1.7189387297610548e-09, - "01010010001": 2.7163430391030775e-12, - "01010010010": 2.608840183667094e-12, - "01010010011": 4.3669855314412114e-15, - "01010010100": 2.6088471871132706e-12, - "01010010101": 4.174417826523661e-15, - "01010010110": 4.261639316754018e-15, - "01010010111": 4.48282334872249e-15, - "01010011000": 2.8030201997940365e-12, - "01010011001": 4.484915667729814e-15, - "01010011010": 4.261635954909824e-15, - "01010011011": 4.483787415523042e-15, - "01010011100": 4.450506422603727e-15, - "01010011101": 4.483565995941076e-15, - "01010011110": 4.714280803219486e-15, - "01010011111": 2.9186576139857305e-12, - "01010100000": 1.719012343997528e-09, - "01010100001": 2.716461615605453e-12, - "01010100010": 2.608953845670864e-12, - "01010100011": 4.3656365018732775e-15, - "01010100100": 2.6088471882592926e-12, - "01010100101": 4.174417826485938e-15, - "01010100110": 4.2616353047788164e-15, - "01010100111": 4.482819146238572e-15, - "01010101000": 2.608960483894871e-12, - "01010101001": 4.174414350216754e-15, - "01010101010": 3.966589085788238e-15, - "01010101011": 4.173360289661236e-15, - "01010101100": 4.261153251176066e-15, - "01010101101": 4.174417815051287e-15, - "01010101110": 4.389458378107821e-15, - "01010101111": 2.7164709857822094e-12, - "01010110000": 2.803144524795108e-12, - "01010110001": 4.483562280509832e-15, - "01010110010": 4.26163594960583e-15, - "01010110011": 4.483783223845742e-15, - "01010110100": 4.2611572496786675e-15, - "01010110101": 4.174417826523661e-15, - "01010110110": 4.391389011860812e-15, - "01010110111": 2.7163524538316e-12, - "01010111000": 4.45018674147296e-15, - "01010111001": 4.483565287595847e-15, - "01010111010": 4.389461990718587e-15, - "01010111011": 2.716352781524684e-12, - "01010111100": 4.590862318885663e-15, - "01010111101": 2.7164635191798703e-12, - "01010111110": 2.8284055735637502e-12, - "01010111111": 1.7898770682079808e-09, - "01011000000": 1.8469567642958488e-09, - "01011000001": 2.9186475748701727e-12, - "01011000010": 2.80313742656285e-12, - "01011000011": 4.6893318681457695e-15, - "01011000100": 2.803023201827354e-12, - "01011000101": 4.483566004004067e-15, - "01011000110": 4.577913491206368e-15, - "01011000111": 4.682678919397713e-15, - "01011001000": 2.8030228409106122e-12, - "01011001001": 4.484919876063777e-15, - "01011001010": 4.261635954909824e-15, - "01011001011": 4.4837874249755405e-15, - "01011001100": 4.5781063822266345e-15, - "01011001101": 4.4849193901800666e-15, - "01011001110": 4.715955130414225e-15, - "01011001111": 2.918527548513473e-12, - "01011010000": 2.803147164812789e-12, - "01011010001": 4.483566479727213e-15, - "01011010010": 4.261639961581667e-15, - "01011010011": 4.48378744485188e-15, - "01011010100": 4.2611572497145796e-15, - "01011010101": 4.174417826485938e-15, - "01011010110": 4.391389031369519e-15, - "01011010111": 2.716352452611889e-12, - "01011011000": 4.577802107355603e-15, - "01011011001": 4.484922902102208e-15, - "01011011010": 4.391392635154553e-15, - "01011011011": 2.716233876736092e-12, - "01011011100": 4.592528406574091e-15, - "01011011101": 2.716344942566906e-12, - "01011011110": 2.8282815782575486e-12, - "01011011111": 1.7898004197701722e-09, - "01011100000": 2.9272484418445703e-12, - "01011100001": 4.682443095981778e-15, - "01011100010": 4.4503124063382685e-15, - "01011100011": 4.682296096327733e-15, - "01011100100": 4.450509412041293e-15, - "01011100101": 4.483566004004067e-15, - "01011100110": 4.715955128212057e-15, - "01011100111": 2.918527910260176e-12, - "01011101000": 4.450189735514948e-15, - "01011101001": 4.4835694867753935e-15, - "01011101010": 4.389461990718587e-15, - "01011101011": 2.716352780308547e-12, - "01011101100": 4.592528378446632e-15, - "01011101101": 2.7163449425704565e-12, - "01011101110": 2.8282818847235667e-12, - "01011101111": 1.7898004261548234e-09, - "01011110000": 4.645327989343918e-15, - "01011110001": 4.682446223995632e-15, - "01011110010": 4.714283342617881e-15, - "01011110011": 2.9185279123786275e-12, - "01011110100": 4.590865381503633e-15, - "01011110101": 2.7164635191564245e-12, - "01011110110": 2.8282815793820303e-12, - "01011110111": 1.789800426131762e-09, - "01011111000": 4.792977855431214e-15, - "01011111001": 2.918648772402554e-12, - "01011111010": 2.8284075555923305e-12, - "01011111011": 1.789800420333484e-09, - "01011111100": 2.958239670615983e-12, - "01011111101": 1.7898733076030287e-09, - "01011111110": 1.8636578993950335e-09, - "01011111111": 1.1792879969761387e-06, - "01100000000": 1.2168955046518746e-06, - "01100000001": 1.9230899339325102e-09, - "01100000010": 1.8469523471393899e-09, - "01100000011": 3.0526231779909536e-12, - "01100000100": 1.8468771354563345e-09, - "01100000101": 2.9186487724025543e-12, - "01100000110": 3.0117722323036925e-12, - "01100000111": 4.8957820935399996e-15, - "01100001000": 1.8468771414388755e-09, - "01100001001": 2.9185193836782e-12, - "01100001010": 2.803136612362999e-12, - "01100001011": 4.689334246632649e-15, - "01100001100": 3.011647561353107e-12, - "01100001101": 4.816027596621063e-15, - "01100001110": 4.780998602631784e-15, - "01100001111": 4.888015263090719e-15, - "01100010000": 1.8468771414594525e-09, - "01100010001": 2.918519733385909e-12, - "01100010010": 2.8030148936446253e-12, - "01100010011": 4.6903649706176906e-15, - "01100010100": 2.8030223864294615e-12, - "01100010101": 4.483565287595849e-15, - "01100010110": 4.5779170778966355e-15, - "01100010111": 4.6826781783869815e-15, - "01100011000": 3.0116475632484613e-12, - "01100011001": 4.817057892564094e-15, - "01100011010": 4.577913491206368e-15, - "01100011011": 4.6837165135879525e-15, - "01100011100": 4.7807945582949396e-15, - "01100011101": 4.683478668423631e-15, - "01100011110": 4.925114722861135e-15, - "01100011111": 3.047738544407683e-12, - "01100100000": 1.8468771356135698e-09, - "01100100001": 2.918519383663446e-12, - "01100100010": 2.803014894739495e-12, - "01100100011": 4.6903649705245884e-15, - "01100100100": 2.802900303864713e-12, - "01100100101": 4.484922902102208e-15, - "01100100110": 4.578627896507686e-15, - "01100100111": 4.816259410134469e-15, - "01100101000": 2.8030220255092e-12, - "01100101001": 4.48491918100985e-15, - "01100101010": 4.2616353047788164e-15, - "01100101011": 4.483783698785638e-15, - "01100101100": 4.578109985341173e-15, - "01100101101": 4.484919877516688e-15, - "01100101110": 4.715955657989589e-15, - "01100101111": 2.918528253212228e-12, - "01100110000": 3.011647165758104e-12, - "01100110001": 4.817057871803457e-15, - "01100110010": 4.578624286245501e-15, - "01100110011": 4.817292015655136e-15, - "01100110100": 4.5781099714178266e-15, - "01100110101": 4.484915667729814e-15, - "01100110110": 4.7180254472961665e-15, - "01100110111": 2.918398157205829e-12, - "01100111000": 4.781201096390559e-15, - "01100111001": 4.817057892564094e-15, - "01100111010": 4.715955128212057e-15, - "01100111011": 2.918398508124395e-12, - "01100111100": 4.932335837161397e-15, - "01100111101": 2.9185174825879965e-12, - "01100111110": 3.03878592730511e-12, - "01100111111": 1.92301036896743e-09, - "01101000000": 1.8469579676635014e-09, - "01101000001": 2.9186494759677185e-12, - "01101000010": 2.8031392523702906e-12, - "01101000011": 4.689335513866971e-15, - "01101000100": 2.803025027563348e-12, - "01101000101": 4.4835694867753935e-15, - "01101000110": 4.5779170778966355e-15, - "01101000111": 4.682678197139787e-15, - "01101001000": 2.803024665548314e-12, - "01101001001": 4.484923389436616e-15, - "01101001010": 4.261639316754018e-15, - "01101001011": 4.483787919792222e-15, - "01101001100": 4.578109985404805e-15, - "01101001101": 4.4849198774515875e-15, - "01101001110": 4.715955686432889e-15, - "01101001111": 2.9185282520283433e-12, - "01101010000": 2.8031463506339416e-12, - "01101010001": 4.483565763316247e-15, - "01101010010": 4.261639311485936e-15, - "01101010011": 4.483783718596878e-15, - "01101010100": 4.261156591974202e-15, - "01101010101": 4.174414350216754e-15, - "01101010110": 4.391385408038865e-15, - "01101010111": 2.716350550219136e-12, - "01101011000": 4.577802692627338e-15, - "01101011001": 4.484919181009848e-15, - "01101011010": 4.391389031369519e-15, - "01101011011": 2.7162319732306202e-12, - "01101011100": 4.59252463408925e-15, - "01101011101": 2.716343038987074e-12, - "01101011110": 2.8282795961725355e-12, - "01101011111": 1.7897991651682701e-09, - "01101100000": 3.01178268856923e-12, - "01101100001": 4.816028127146865e-15, - "01101100010": 4.577916483119497e-15, - "01101100011": 4.683716530521579e-15, - "01101100100": 4.578112977980771e-15, - "01101100101": 4.484919876063777e-15, - "01101100110": 4.7180254472961665e-15, - "01101100111": 2.918398156025288e-12, - "01101101000": 4.577805689815756e-15, - "01101101001": 4.484923389436616e-15, - "01101101010": 4.391389011860812e-15, - "01101101011": 2.716231973234196e-12, - "01101101100": 4.594580816035229e-15, - "01101101101": 2.716224097146389e-12, - "01101101110": 2.8281555405523447e-12, - "01101101111": 1.7897225209087553e-09, - "01101110000": 4.780882791633389e-15, - "01101110001": 4.683481084873383e-15, - "01101110010": 4.7159582183310675e-15, - "01101110011": 2.9183985080973826e-12, - "01101110100": 4.592527677875305e-15, - "01101110101": 2.716343040183314e-12, - "01101110110": 2.8281555416734305e-12, - "01101110111": 1.7897225272884935e-09, - "01101111000": 4.79469660666768e-15, - "01101111001": 2.9185193836782e-12, - "01101111010": 2.8282815793820303e-12, - "01101111011": 1.7897225214661147e-09, - "01101111100": 2.958107912279528e-12, - "01101111101": 1.7897954055619926e-09, - "01101111110": 1.8635767864063244e-09, - "01101111111": 1.1792366676098131e-06, - "01110000000": 1.928726964729018e-09, - "01110000001": 3.0478643065693605e-12, - "01110000010": 2.927240166964846e-12, - "01110000011": 4.8973520599051476e-15, - "01110000100": 2.9271209003253173e-12, - "01110000101": 4.682446223995636e-15, - "01110000110": 4.780998602631784e-15, - "01110000111": 4.8876089376079765e-15, - "01110001000": 2.9271209031756464e-12, - "01110001001": 4.683481084873387e-15, - "01110001010": 4.450311717612973e-15, - "01110001011": 4.6822953555057604e-15, - "01110001100": 4.780793274643903e-15, - "01110001101": 4.683478666725425e-15, - "01110001110": 4.924743011671276e-15, - "01110001111": 3.047738920619736e-12, - "01110010000": 2.9271205105786013e-12, - "01110010001": 4.68348106437814e-15, - "01110010010": 4.451032336473368e-15, - "01110010011": 4.815870898404216e-15, - "01110010100": 4.4505087251958766e-15, - "01110010101": 4.483562280509832e-15, - "01110010110": 4.715955686432889e-15, - "01110010111": 2.9185286137603434e-12, - "01110011000": 4.781199812774577e-15, - "01110011001": 4.817057871803455e-15, - "01110011010": 4.715955130414225e-15, - "01110011011": 2.9183985069291326e-12, - "01110011100": 4.931963659423488e-15, - "01110011101": 2.9185178311120803e-12, - "01110011110": 3.038786272769209e-12, - "01110011111": 1.9230103743096136e-09, - "01110100000": 2.9272495538870653e-12, - "01110100001": 4.6824454856890016e-15, - "01110100010": 4.450314706418545e-15, - "01110100011": 4.6822953536403174e-15, - "01110100100": 4.450511728509612e-15, - "01110100101": 4.483566479727213e-15, - "01110100110": 4.715955657989589e-15, - "01110100111": 2.918528613763677e-12, - "01110101000": 4.450189037247084e-15, - "01110101001": 4.483565763316245e-15, - "01110101010": 4.389458378107821e-15, - "01110101011": 2.7163508768357544e-12, - "01110101100": 4.592524608224153e-15, - "01110101101": 2.716343037910386e-12, - "01110101110": 2.8282799015177566e-12, - "01110101111": 1.7897991708437166e-09, - "01110110000": 4.780881507765391e-15, - "01110110001": 4.683481064378136e-15, - "01110110010": 4.7159581920898485e-15, - "01110110011": 2.918398508085991e-12, - "01110110100": 4.592527680137582e-15, - "01110110101": 2.7163430391030763e-12, - "01110110110": 2.8281555405523447e-12, - "01110110111": 1.7897225265793232e-09, - "01110111000": 4.794329891702267e-15, - "01110111001": 2.918519733385909e-12, - "01110111010": 2.8282818847235667e-12, - "01110111011": 1.7897225271597583e-09, - "01110111100": 2.958108253992657e-12, - "01110111101": 1.78979541123172e-09, - "01110111110": 1.863576792357786e-09, - "01110111111": 1.1792366715363442e-06, - "01111000000": 3.0556038498178266e-12, - "01111000001": 4.887774863182473e-15, - "01111000010": 4.6454525176649466e-15, - "01111000011": 4.887605106296557e-15, - "01111000100": 4.645257091815748e-15, - "01111000101": 4.682443095981775e-15, - "01111000110": 4.925114722861135e-15, - "01111000111": 3.047738938001561e-12, - "01111001000": 4.64565776188433e-15, - "01111001001": 4.8160281271468635e-15, - "01111001010": 4.714280803219486e-15, - "01111001011": 2.9185286147252214e-12, - "01111001100": 4.9323358135266145e-15, - "01111001101": 2.918517481392668e-12, - "01111001110": 3.038786272769209e-12, - "01111001111": 1.9230103742861196e-09, - "01111010000": 4.6453303546683e-15, - "01111010001": 4.682445485688996e-15, - "01111010010": 4.714283884040786e-15, - "01111010011": 2.9185286158787817e-12, - "01111010100": 4.590861603876242e-15, - "01111010101": 2.716461615605453e-12, - "01111010110": 2.8282795961725355e-12, - "01111010111": 1.7897991708207302e-09, - "01111011000": 4.794696583300394e-15, - "01111011001": 2.918519383663446e-12, - "01111011010": 2.8282815782575486e-12, - "01111011011": 1.78972252075702e-09, - "01111011100": 2.9581082539896674e-12, - "01111011101": 1.7897954112317954e-09, - "01111011110": 1.8635767923303984e-09, - "01111011111": 1.1792366715368637e-06, - "01111100000": 4.849846039763449e-15, - "01111100001": 4.887774863182468e-15, - "01111100010": 4.923379277403011e-15, - "01111100011": 3.0477389206034675e-12, - "01111100100": 4.930605197294793e-15, - "01111100101": 2.9186475748701735e-12, - "01111100110": 3.03878592730511e-12, - "01111100111": 1.923010374287111e-09, - "01111101000": 4.792977103191021e-15, - "01111101001": 2.918649475967718e-12, - "01111101010": 2.8284055735637502e-12, - "01111101011": 1.7897991650223947e-09, - "01111101100": 2.9581079123253863e-12, - "01111101101": 1.7897954048528072e-09, - "01111101110": 1.863576792357786e-09, - "01111101111": 1.1792366715368633e-06, - "01111110000": 5.004004833817212e-15, - "01111110001": 3.0478643065693597e-12, - "01111110010": 3.0389232248849637e-12, - "01111110011": 1.923010368815453e-09, - "01111110100": 2.9582395711964627e-12, - "01111110101": 1.7898720530269206e-09, - "01111110110": 1.8635767864063244e-09, - "01111110111": 1.1792366715363658e-06, - "01111111000": 3.0884701539568138e-12, - "01111111001": 1.9230899339325094e-09, - "01111111010": 1.8636578993950335e-09, - "01111111011": 1.1792366677113033e-06, - "01111111100": 1.9492051059678296e-09, - "01111111101": 1.1792846906972282e-06, - "01111111110": 1.2278987467535354e-06, - "01111111111": 0.0007769915613156678, - "10000000000": 0.0007769915613156688, - "10000000001": 1.227898746753535e-06, - "10000000010": 1.1792846906972286e-06, - "10000000011": 1.9492051059678296e-09, - "10000000100": 1.1792366677113042e-06, - "10000000101": 1.863657899395033e-09, - "10000000110": 1.9230899339325102e-09, - "10000000111": 3.0884701539568146e-12, - "10000001000": 1.179236671536367e-06, - "10000001001": 1.8635767864063236e-09, - "10000001010": 1.7898720530269216e-09, - "10000001011": 2.958239571196464e-12, - "10000001100": 1.9230103688154544e-09, - "10000001101": 3.0389232248849645e-12, - "10000001110": 3.0478643065693605e-12, - "10000001111": 5.004004833817212e-15, - "10000010000": 1.1792366715368637e-06, - "10000010001": 1.8635767923577855e-09, - "10000010010": 1.7897954048528084e-09, - "10000010011": 2.9581079123253863e-12, - "10000010100": 1.7897991650223958e-09, - "10000010101": 2.8284055735637506e-12, - "10000010110": 2.9186494759677185e-12, - "10000010111": 4.7929771031910265e-15, - "10000011000": 1.923010374287112e-09, - "10000011001": 3.0387859273051107e-12, - "10000011010": 2.9186475748701743e-12, - "10000011011": 4.930605197294797e-15, - "10000011100": 3.0477389206034683e-12, - "10000011101": 4.923379277403016e-15, - "10000011110": 4.887774863182473e-15, - "10000011111": 4.849846039763447e-15, - "10000100000": 1.1792366715368647e-06, - "10000100001": 1.863576792330398e-09, - "10000100010": 1.789795411231797e-09, - "10000100011": 2.9581082539896674e-12, - "10000100100": 1.7897225207570206e-09, - "10000100101": 2.828281578257549e-12, - "10000100110": 2.918519383663446e-12, - "10000100111": 4.794696583300399e-15, - "10000101000": 1.7897991708207309e-09, - "10000101001": 2.8282795961725363e-12, - "10000101010": 2.7164616156054538e-12, - "10000101011": 4.5908616038762435e-15, - "10000101100": 2.9185286158787825e-12, - "10000101101": 4.71428388404079e-15, - "10000101110": 4.6824454856890016e-15, - "10000101111": 4.645330354668294e-15, - "10000110000": 1.923010374286121e-09, - "10000110001": 3.03878627276921e-12, - "10000110010": 2.9185174813926688e-12, - "10000110011": 4.93233581352662e-15, - "10000110100": 2.9185286147252226e-12, - "10000110101": 4.714280803219488e-15, - "10000110110": 4.816028127146865e-15, - "10000110111": 4.645657761884325e-15, - "10000111000": 3.0477389380015617e-12, - "10000111001": 4.92511472286114e-15, - "10000111010": 4.682443095981778e-15, - "10000111011": 4.645257091815744e-15, - "10000111100": 4.8876051062965645e-15, - "10000111101": 4.6454525176649395e-15, - "10000111110": 4.887774863182468e-15, - "10000111111": 3.0556038498178234e-12, - "10001000000": 1.179236671536345e-06, - "10001000001": 1.8635767923577855e-09, - "10001000010": 1.7897954112317213e-09, - "10001000011": 2.958108253992657e-12, - "10001000100": 1.7897225271597596e-09, - "10001000101": 2.8282818847235667e-12, - "10001000110": 2.91851973338591e-12, - "10001000111": 4.79432989170227e-15, - "10001001000": 1.7897225265793238e-09, - "10001001001": 2.8281555405523463e-12, - "10001001010": 2.716343039103077e-12, - "10001001011": 4.592527680137584e-15, - "10001001100": 2.918398508085993e-12, - "10001001101": 4.7159581920898485e-15, - "10001001110": 4.683481064378142e-15, - "10001001111": 4.780881507765387e-15, - "10001010000": 1.7897991708437178e-09, - "10001010001": 2.8282799015177574e-12, - "10001010010": 2.7163430379103873e-12, - "10001010011": 4.5925246082241564e-15, - "10001010100": 2.716350876835755e-12, - "10001010101": 4.389458378107823e-15, - "10001010110": 4.483565763316247e-15, - "10001010111": 4.4501890372470806e-15, - "10001011000": 2.9185286137636776e-12, - "10001011001": 4.715955657989589e-15, - "10001011010": 4.483566479727215e-15, - "10001011011": 4.450511728509608e-15, - "10001011100": 4.682295353640321e-15, - "10001011101": 4.450314706418541e-15, - "10001011110": 4.682445485688996e-15, - "10001011111": 2.9272495538870637e-12, - "10001100000": 1.9230103743096145e-09, - "10001100001": 3.03878627276921e-12, - "10001100010": 2.918517831112081e-12, - "10001100011": 4.931963659423493e-15, - "10001100100": 2.9183985069291334e-12, - "10001100101": 4.715955130414229e-15, - "10001100110": 4.817057871803457e-15, - "10001100111": 4.7811998127745734e-15, - "10001101000": 2.918528613760345e-12, - "10001101001": 4.71595568643289e-15, - "10001101010": 4.483562280509834e-15, - "10001101011": 4.4505087251958734e-15, - "10001101100": 4.815870898404219e-15, - "10001101101": 4.451032336473364e-15, - "10001101110": 4.6834810643781385e-15, - "10001101111": 2.9271205105786e-12, - "10001110000": 3.047738920619737e-12, - "10001110001": 4.924743011671281e-15, - "10001110010": 4.683478666725429e-15, - "10001110011": 4.7807932746439e-15, - "10001110100": 4.6822953555057604e-15, - "10001110101": 4.45031171761297e-15, - "10001110110": 4.6834810848733846e-15, - "10001110111": 2.927120903175644e-12, - "10001111000": 4.887608937607984e-15, - "10001111001": 4.7809986026317785e-15, - "10001111010": 4.682446223995634e-15, - "10001111011": 2.9271209003253153e-12, - "10001111100": 4.8973520599051405e-15, - "10001111101": 2.927240166964844e-12, - "10001111110": 3.0478643065693597e-12, - "10001111111": 1.928726964729016e-09, - "10010000000": 1.179236667609814e-06, - "10010000001": 1.8635767864063236e-09, - "10010000010": 1.7897954055619942e-09, - "10010000011": 2.958107912279528e-12, - "10010000100": 1.7897225214661158e-09, - "10010000101": 2.8282815793820303e-12, - "10010000110": 2.918519383678201e-12, - "10010000111": 4.794696606667685e-15, - "10010001000": 1.7897225272884947e-09, - "10010001001": 2.8281555416734305e-12, - "10010001010": 2.7163430401833148e-12, - "10010001011": 4.5925276778753074e-15, - "10010001100": 2.9183985080973846e-12, - "10010001101": 4.7159582183310675e-15, - "10010001110": 4.683481084873387e-15, - "10010001111": 4.7808827916333815e-15, - "10010010000": 1.7897225209087571e-09, - "10010010001": 2.8281555405523463e-12, - "10010010010": 2.716224097146391e-12, - "10010010011": 4.594580816035234e-15, - "10010010100": 2.7162319732341984e-12, - "10010010101": 4.391389011860812e-15, - "10010010110": 4.484923389436616e-15, - "10010010111": 4.577805689815753e-15, - "10010011000": 2.9183981560252893e-12, - "10010011001": 4.718025447296172e-15, - "10010011010": 4.484919876063777e-15, - "10010011011": 4.578112977980765e-15, - "10010011100": 4.683716530521581e-15, - "10010011101": 4.577916483119491e-15, - "10010011110": 4.8160281271468595e-15, - "10010011111": 3.0117826885692293e-12, - "10010100000": 1.7897991651682707e-09, - "10010100001": 2.8282795961725363e-12, - "10010100010": 2.716343038987075e-12, - "10010100011": 4.592524634089251e-15, - "10010100100": 2.7162319732306214e-12, - "10010100101": 4.391389031369519e-15, - "10010100110": 4.48491918100985e-15, - "10010100111": 4.577802692627333e-15, - "10010101000": 2.7163505502191368e-12, - "10010101001": 4.391385408038865e-15, - "10010101010": 4.174414350216754e-15, - "10010101011": 4.261156591974199e-15, - "10010101100": 4.483783718596878e-15, - "10010101101": 4.261639311485933e-15, - "10010101110": 4.483565763316243e-15, - "10010101111": 2.8031463506339388e-12, - "10010110000": 2.918528252028344e-12, - "10010110001": 4.71595568643289e-15, - "10010110010": 4.484919877451589e-15, - "10010110011": 4.5781099854048e-15, - "10010110100": 4.48378791979222e-15, - "10010110101": 4.261639316754016e-15, - "10010110110": 4.484923389436614e-15, - "10010110111": 2.803024665548312e-12, - "10010111000": 4.682678197139791e-15, - "10010111001": 4.5779170778966316e-15, - "10010111010": 4.4835694867753935e-15, - "10010111011": 2.8030250275633467e-12, - "10010111100": 4.6893355138669676e-15, - "10010111101": 2.8031392523702877e-12, - "10010111110": 2.918649475967718e-12, - "10010111111": 1.8469579676635008e-09, - "10011000000": 1.9230103689674314e-09, - "10011000001": 3.0387859273051107e-12, - "10011000010": 2.9185174825879965e-12, - "10011000011": 4.932335837161399e-15, - "10011000100": 2.9183985081243956e-12, - "10011000101": 4.715955128212059e-15, - "10011000110": 4.817057892564094e-15, - "10011000111": 4.781201096390554e-15, - "10011001000": 2.9183981572058303e-12, - "10011001001": 4.718025447296172e-15, - "10011001010": 4.484915667729814e-15, - "10011001011": 4.5781099714178234e-15, - "10011001100": 4.8172920156551374e-15, - "10011001101": 4.578624286245498e-15, - "10011001110": 4.817057871803455e-15, - "10011001111": 3.0116471657581016e-12, - "10011010000": 2.9185282532122286e-12, - "10011010001": 4.715955657989589e-15, - "10011010010": 4.484919877516688e-15, - "10011010011": 4.578109985341167e-15, - "10011010100": 4.483783698785637e-15, - "10011010101": 4.261635304778813e-15, - "10011010110": 4.484919181009846e-15, - "10011010111": 2.803022025509197e-12, - "10011011000": 4.816259410134471e-15, - "10011011001": 4.578627896507685e-15, - "10011011010": 4.484922902102207e-15, - "10011011011": 2.8029003038647105e-12, - "10011011100": 4.6903649705245845e-15, - "10011011101": 2.803014894739492e-12, - "10011011110": 2.918519383663446e-12, - "10011011111": 1.8468771356135681e-09, - "10011100000": 3.047738544407684e-12, - "10011100001": 4.92511472286114e-15, - "10011100010": 4.683478668423632e-15, - "10011100011": 4.780794558294934e-15, - "10011100100": 4.683716513587954e-15, - "10011100101": 4.577913491206363e-15, - "10011100110": 4.817057892564093e-15, - "10011100111": 3.011647563248459e-12, - "10011101000": 4.682678178386983e-15, - "10011101001": 4.5779170778966316e-15, - "10011101010": 4.483565287595847e-15, - "10011101011": 2.8030223864294587e-12, - "10011101100": 4.690364970617689e-15, - "10011101101": 2.8030148936446225e-12, - "10011101110": 2.918519733385909e-12, - "10011101111": 1.8468771414594508e-09, - "10011110000": 4.888015263090725e-15, - "10011110001": 4.7809986026317785e-15, - "10011110010": 4.81602759662106e-15, - "10011110011": 3.011647561353105e-12, - "10011110100": 4.689334246632645e-15, - "10011110101": 2.8031366123629964e-12, - "10011110110": 2.9185193836782e-12, - "10011110111": 1.8468771414388743e-09, - "10011111000": 4.895782093539994e-15, - "10011111001": 3.0117722323036896e-12, - "10011111010": 2.918648772402554e-12, - "10011111011": 1.8468771354563323e-09, - "10011111100": 3.052623177990952e-12, - "10011111101": 1.8469523471393882e-09, - "10011111110": 1.9230899339325094e-09, - "10011111111": 1.2168955046518746e-06, - "10100000000": 1.1792879969761396e-06, - "10100000001": 1.863657899395033e-09, - "10100000010": 1.78987330760303e-09, - "10100000011": 2.958239670615984e-12, - "10100000100": 1.7898004203334853e-09, - "10100000101": 2.828407555592331e-12, - "10100000110": 2.9186487724025543e-12, - "10100000111": 4.7929778554312194e-15, - "10100001000": 1.7898004261317637e-09, - "10100001001": 2.8282815793820303e-12, - "10100001010": 2.716463519156425e-12, - "10100001011": 4.590865381503639e-15, - "10100001100": 2.9185279123786295e-12, - "10100001101": 4.714283342617884e-15, - "10100001110": 4.682446223995636e-15, - "10100001111": 4.645327989343913e-15, - "10100010000": 1.7898004261548247e-09, - "10100010001": 2.8282818847235667e-12, - "10100010010": 2.7163449425704578e-12, - "10100010011": 4.5925283784466335e-15, - "10100010100": 2.7163527803085485e-12, - "10100010101": 4.389461990718589e-15, - "10100010110": 4.483569486775395e-15, - "10100010111": 4.450189735514944e-15, - "10100011000": 2.918527910260178e-12, - "10100011001": 4.715955128212059e-15, - "10100011010": 4.483566004004067e-15, - "10100011011": 4.4505094120412895e-15, - "10100011100": 4.682296096327737e-15, - "10100011101": 4.450312406338265e-15, - "10100011110": 4.682443095981775e-15, - "10100011111": 2.9272484418445674e-12, - "10100100000": 1.7898004197701726e-09, - "10100100001": 2.828281578257549e-12, - "10100100010": 2.7163449425669063e-12, - "10100100011": 4.592528406574093e-15, - "10100100100": 2.7162338767360936e-12, - "10100100101": 4.391392635154553e-15, - "10100100110": 4.484922902102208e-15, - "10100100111": 4.577802107355599e-15, - "10100101000": 2.7163524526118895e-12, - "10100101001": 4.391389031369519e-15, - "10100101010": 4.174417826485938e-15, - "10100101011": 4.2611572497145764e-15, - "10100101100": 4.483787444851882e-15, - "10100101101": 4.261639961581666e-15, - "10100101110": 4.483566479727211e-15, - "10100101111": 2.8031471648127863e-12, - "10100110000": 2.9185275485134755e-12, - "10100110001": 4.715955130414229e-15, - "10100110010": 4.484919390180068e-15, - "10100110011": 4.5781063822266305e-15, - "10100110100": 4.483787424975543e-15, - "10100110101": 4.261635954909821e-15, - "10100110110": 4.484919876063775e-15, - "10100110111": 2.80302284091061e-12, - "10100111000": 4.6826789193977165e-15, - "10100111001": 4.577913491206363e-15, - "10100111010": 4.483566004004066e-15, - "10100111011": 2.8030232018273528e-12, - "10100111100": 4.689331868145767e-15, - "10100111101": 2.803137426562849e-12, - "10100111110": 2.918647574870172e-12, - "10100111111": 1.8469567642958463e-09, - "10101000000": 1.7898770682079819e-09, - "10101000001": 2.8284055735637506e-12, - "10101000010": 2.716463519179871e-12, - "10101000011": 4.5908623188856655e-15, - "10101000100": 2.7163527815246866e-12, - "10101000101": 4.389461990718589e-15, - "10101000110": 4.483565287595849e-15, - "10101000111": 4.450186741472956e-15, - "10101001000": 2.7163524538316008e-12, - "10101001001": 4.391389011860812e-15, - "10101001010": 4.174417826523661e-15, - "10101001011": 4.261157249678664e-15, - "10101001100": 4.483783223845743e-15, - "10101001101": 4.261635949605826e-15, - "10101001110": 4.483562280509832e-15, - "10101001111": 2.803144524795106e-12, - "10101010000": 2.7164709857822106e-12, - "10101010001": 4.389458378107823e-15, - "10101010010": 4.174417815051287e-15, - "10101010011": 4.261153251176062e-15, - "10101010100": 4.1733602896612375e-15, - "10101010101": 3.966589085788236e-15, - "10101010110": 4.174414350216751e-15, - "10101010111": 2.608960483894869e-12, - "10101011000": 4.482819146238572e-15, - "10101011001": 4.261635304778813e-15, - "10101011010": 4.174417826485938e-15, - "10101011011": 2.6088471882592897e-12, - "10101011100": 4.365636501873276e-15, - "10101011101": 2.608953845670861e-12, - "10101011110": 2.716461615605453e-12, - "10101011111": 1.7190123439975268e-09, - "10101100000": 2.9186576139857317e-12, - "10101100001": 4.714280803219488e-15, - "10101100010": 4.483565995941078e-15, - "10101100011": 4.450506422603726e-15, - "10101100100": 4.483787415523042e-15, - "10101100101": 4.261635954909821e-15, - "10101100110": 4.484915667729814e-15, - "10101100111": 2.8030201997940353e-12, - "10101101000": 4.48282334872249e-15, - "10101101001": 4.261639316754016e-15, - "10101101010": 4.174417826523661e-15, - "10101101011": 2.6088471871132677e-12, - "10101101100": 4.36698553144121e-15, - "10101101101": 2.608840183667091e-12, - "10101101110": 2.7163430391030763e-12, - "10101101111": 1.718938729761053e-09, - "10101110000": 4.681671888479687e-15, - "10101110001": 4.450311717612968e-15, - "10101110010": 4.483564730702481e-15, - "10101110011": 2.8030205618222093e-12, - "10101110100": 4.365639410856505e-15, - "10101110101": 2.608953845673917e-12, - "10101110110": 2.716343040183314e-12, - "10101110111": 1.7189387358534445e-09, - "10101111000": 4.557824354354121e-15, - "10101111001": 2.8031366123629964e-12, - "10101111010": 2.7164635191564245e-12, - "10101111011": 1.7189387302646848e-09, - "10101111100": 2.8411570375794153e-12, - "10101111101": 1.7190087318211202e-09, - "10101111110": 1.789872053026921e-09, - "10101111111": 1.1325977077885496e-06, - "10110000000": 1.923095329318157e-09, - "10110000001": 3.0389232248849645e-12, - "10110000010": 2.918648783399992e-12, - "10110000011": 4.930605965392893e-15, - "10110000100": 2.9185298245068594e-12, - "10110000101": 4.714283342617884e-15, - "10110000110": 4.816027596621066e-15, - "10110000111": 4.645655384740819e-15, - "10110001000": 2.9185298235419415e-12, - "10110001001": 4.7159582183310675e-15, - "10110001010": 4.483564730702485e-15, - "10110001011": 4.450509409398803e-15, - "10110001100": 4.815870372453155e-15, - "10110001101": 4.4510300128722245e-15, - "10110001110": 4.683478666725424e-15, - "10110001111": 2.9271193972886694e-12, - "10110010000": 2.9185294617987695e-12, - "10110010001": 4.7159581920898485e-15, - "10110010010": 4.484922325189312e-15, - "10110010011": 4.578109386013897e-15, - "10110010100": 4.483786151709192e-15, - "10110010101": 4.261635949605826e-15, - "10110010110": 4.4849198774515875e-15, - "10110010111": 2.80302283966058e-12, - "10110011000": 4.816258863432545e-15, - "10110011001": 4.578624286245498e-15, - "10110011010": 4.4849193901800666e-15, - "10110011011": 2.802898478097251e-12, - "10110011100": 4.690361316998448e-15, - "10110011101": 2.803013067802302e-12, - "10110011110": 2.9185174813926676e-12, - "10110011111": 1.8468759314977567e-09, - "10110100000": 2.9186595260626017e-12, - "10110100001": 4.71428388404079e-15, - "10110100010": 4.483568921819489e-15, - "10110100011": 4.4505094233101005e-15, - "10110100100": 4.483790363290982e-15, - "10110100101": 4.261639961581666e-15, - "10110100110": 4.484919877516688e-15, - "10110100111": 2.8030228385657297e-12, - "10110101000": 4.482822075451475e-15, - "10110101001": 4.261639311485933e-15, - "10110101010": 4.1744178150512855e-15, - "10110101011": 2.6088471871139225e-12, - "10110101100": 4.366985532872551e-15, - "10110101101": 2.6088401825180145e-12, - "10110101110": 2.716343037910387e-12, - "10110101111": 1.718938729006104e-09, - "10110110000": 4.8152577906061825e-15, - "10110110001": 4.451032336473364e-15, - "10110110010": 4.484922325189314e-15, - "10110110011": 2.8028984781137377e-12, - "10110110100": 4.3669884508822674e-15, - "10110110101": 2.608840183667091e-12, - "10110110110": 2.716224097146389e-12, - "10110110111": 1.7188651187107865e-09, - "10110111000": 4.5588537342592356e-15, - "10110111001": 2.8030148936446225e-12, - "10110111010": 2.7163449425704565e-12, - "10110111011": 1.7188651192296232e-09, - "10110111100": 2.8410330386540302e-12, - "10110111101": 1.7189351177649564e-09, - "10110111110": 1.7897954048528078e-09, - "10110111111": 1.1325492040401357e-06, - "10111000000": 3.0478748038305223e-12, - "10111000001": 4.923379277403016e-15, - "10111000010": 4.682445630253457e-15, - "10111000011": 4.645254716657313e-15, - "10111000100": 4.682297893035362e-15, - "10111000101": 4.450312406338265e-15, - "10111000110": 4.683478668423629e-15, - "10111000111": 2.9271197898859056e-12, - "10111001000": 4.682680714115515e-15, - "10111001001": 4.577916483119491e-15, - "10111001010": 4.483565995941074e-15, - "10111001011": 2.803023200577344e-12, - "10111001100": 4.69036129823898e-15, - "10111001101": 2.803013067802302e-12, - "10111001110": 2.9185178311120795e-12, - "10111001111": 1.8468759373436993e-09, - "10111010000": 4.681673692488324e-15, - "10111010001": 4.450314706418541e-15, - "10111010010": 4.483568921819487e-15, - "10111010011": 2.8030232016886995e-12, - "10111010100": 4.365639402826899e-15, - "10111010101": 2.608953845670861e-12, - "10111010110": 2.716343038987074e-12, - "10111010111": 1.7189387350985564e-09, - "10111011000": 4.558853715605596e-15, - "10111011001": 2.8030148947394914e-12, - "10111011010": 2.716344942566906e-12, - "10111011011": 1.7188651192296831e-09, - "10111011100": 2.8410333844866626e-12, - "10111011101": 1.7189351238728446e-09, - "10111011110": 1.7897954112317964e-09, - "10111011111": 1.1325492082600662e-06, - "10111100000": 4.886966495043927e-15, - "10111100001": 4.645452517664937e-15, - "10111100010": 4.682445630253453e-15, - "10111100011": 2.9271197882449876e-12, - "10111100100": 4.68933364831834e-15, - "10111100101": 2.803137426562849e-12, - "10111100110": 2.918517482587996e-12, - "10111100111": 1.8468759373230484e-09, - "10111101000": 4.557827381030095e-15, - "10111101001": 2.8031392523702877e-12, - "10111101010": 2.716463519179871e-12, - "10111101011": 1.7189387295097369e-09, - "10111101100": 2.841033039819286e-12, - "10111101101": 1.7189351177649564e-09, - "10111101110": 1.7897954112317207e-09, - "10111101111": 1.1325492082605162e-06, - "10111110000": 4.758504242546466e-15, - "10111110001": 2.927240166964842e-12, - "10111110010": 2.9186487833999904e-12, - "10111110011": 1.846875932070358e-09, - "10111110100": 2.8411589330839184e-12, - "10111110101": 1.7190087318211202e-09, - "10111110110": 1.7897954055619932e-09, - "10111110111": 1.132549208260037e-06, - "10111111000": 2.966235274325523e-12, - "10111111001": 1.8469523471393882e-09, - "10111111010": 1.7898733076030293e-09, - "10111111011": 1.1325492045864127e-06, - "10111111100": 1.8720335912553507e-09, - "10111111101": 1.1325953262818843e-06, - "10111111110": 1.1792846906972282e-06, - "10111111111": 0.0007462294879498028, - "11000000000": 1.2334206756173626e-06, - "11000000001": 1.9492051059678296e-09, - "11000000010": 1.8720335912553523e-09, - "11000000011": 3.0940314565415668e-12, - "11000000100": 1.8719573582525223e-09, - "11000000101": 2.958239670615984e-12, - "11000000110": 3.0526231779909536e-12, - "11000000111": 5.012907606564763e-15, - "11000001000": 1.8719573643185984e-09, - "11000001001": 2.958107912279528e-12, - "11000001010": 2.841157037579416e-12, - "11000001011": 4.801523306680664e-15, - "11000001100": 3.0524967680465254e-12, - "11000001101": 4.930605965392893e-15, - "11000001110": 4.8973520599051476e-15, - "11000001111": 4.849633306226172e-15, - "11000010000": 1.8719573643175354e-09, - "11000010001": 2.958108253992657e-12, - "11000010010": 2.8410330386540327e-12, - "11000010011": 4.803244185322494e-15, - "11000010100": 2.841041234189658e-12, - "11000010101": 4.5908623188856655e-15, - "11000010110": 4.689335513866971e-15, - "11000010111": 4.645126576223758e-15, - "11000011000": 3.0524967855225516e-12, - "11000011001": 4.932335837161399e-15, - "11000011010": 4.6893318681457695e-15, - "11000011011": 4.64546074401118e-15, - "11000011100": 4.897181913758756e-15, - "11000011101": 4.645254716657313e-15, - "11000011110": 4.887605106296559e-15, - "11000011111": 3.0554782084736e-12, - "11000100000": 1.871957364340825e-09, - "11000100001": 2.9581082539896674e-12, - "11000100010": 2.8410333844866634e-12, - "11000100011": 4.8028771819335795e-15, - "11000100100": 2.8409172208950714e-12, - "11000100101": 4.592528406574093e-15, - "11000100110": 4.6903649705245884e-15, - "11000100111": 4.7806714505745615e-15, - "11000101000": 2.841041233086996e-12, - "11000101001": 4.592524634089251e-15, - "11000101010": 4.3656365018732775e-15, - "11000101011": 4.4499998962093515e-15, - "11000101100": 4.689183494897084e-15, - "11000101101": 4.450509423310099e-15, - "11000101110": 4.68229535364032e-15, - "11000101111": 2.9271291731839304e-12, - "11000110000": 3.052496768153273e-12, - "11000110001": 4.931963659423493e-15, - "11000110010": 4.690361316998451e-15, - "11000110011": 4.780996605148463e-15, - "11000110100": 4.689183496853591e-15, - "11000110101": 4.4505064226037234e-15, - "11000110110": 4.683716530521579e-15, - "11000110111": 2.92700013395911e-12, - "11000111000": 4.8971857533559604e-15, - "11000111001": 4.780794558294936e-15, - "11000111010": 4.682296096327733e-15, - "11000111011": 2.9270005109268263e-12, - "11000111100": 4.897181913758749e-15, - "11000111101": 2.92711978824499e-12, - "11000111110": 3.0477389206034675e-12, - "11000111111": 1.928647689880545e-09, - "11001000000": 1.871957358412714e-09, - "11001000001": 2.9581079123253863e-12, - "11001000010": 2.8410330398192882e-12, - "11001000011": 4.803244185322494e-15, - "11001000100": 2.840917222063581e-12, - "11001000101": 4.5925283784466335e-15, - "11001000110": 4.6903649706176906e-15, - "11001000111": 4.780671450482719e-15, - "11001001000": 2.8409168748972254e-12, - "11001001001": 4.594580816035234e-15, - "11001001010": 4.3669855314412114e-15, - "11001001011": 4.577609161136964e-15, - "11001001100": 4.690598946353023e-15, - "11001001101": 4.578109386013897e-15, - "11001001110": 4.815870898404212e-15, - "11001001111": 3.0116580155185353e-12, - "11001010000": 2.841040876529056e-12, - "11001010001": 4.5925246082241564e-15, - "11001010010": 4.366985532872552e-15, - "11001010011": 4.577606165965309e-15, - "11001010100": 4.365857682837803e-15, - "11001010101": 4.261153251176062e-15, - "11001010110": 4.483783718596878e-15, - "11001010111": 2.8030303129588617e-12, - "11001011000": 4.6895667080037086e-15, - "11001011001": 4.578109985341167e-15, - "11001011010": 4.483787444851879e-15, - "11001011011": 2.8029086164573167e-12, - "11001011100": 4.689183494897082e-15, - "11001011101": 2.8030232016886995e-12, - "11001011110": 2.9185286158787817e-12, - "11001011111": 1.8468815523369004e-09, - "11001100000": 3.0524963914286443e-12, - "11001100001": 4.93233581352662e-15, - "11001100010": 4.690361298238981e-15, - "11001100011": 4.780996605148463e-15, - "11001100100": 4.69059892945493e-15, - "11001100101": 4.578106382226633e-15, - "11001100110": 4.817292015655132e-15, - "11001100111": 3.0115224971229276e-12, - "11001101000": 4.689566689195338e-15, - "11001101001": 4.5781099854048e-15, - "11001101010": 4.483783223845742e-15, - "11001101011": 2.8029059765625663e-12, - "11001101100": 4.6905989463530214e-15, - "11001101101": 2.8028984781137377e-12, - "11001101110": 2.918398508085991e-12, - "11001101111": 1.8468007236568935e-09, - "11001110000": 4.8975924449499116e-15, - "11001110001": 4.780793274643896e-15, - "11001110010": 4.81587037245315e-15, - "11001110011": 3.0115228798109448e-12, - "11001110100": 4.689182227788256e-15, - "11001110101": 2.8030205618222093e-12, - "11001110110": 2.9183985080973826e-12, - "11001110111": 1.8468007295014806e-09, - "11001111000": 4.895610323234334e-15, - "11001111001": 3.011647561353105e-12, - "11001111010": 2.9185279123786275e-12, - "11001111011": 1.8468007234973068e-09, - "11001111100": 3.052496768046524e-12, - "11001111101": 1.8468759320703586e-09, - "11001111110": 1.923010368815453e-09, - "11001111111": 1.2168451572027875e-06, - "11010000000": 1.8720387734165357e-09, - "11010000001": 2.958239571196464e-12, - "11010000010": 2.8411589330839188e-12, - "11010000011": 4.801523306680664e-15, - "11010000100": 2.841043130864382e-12, - "11010000101": 4.590865381503639e-15, - "11010000110": 4.689334246632649e-15, - "11010000111": 4.645126574220188e-15, - "11010001000": 2.8410431297649767e-12, - "11010001001": 4.5925276778753074e-15, - "11010001010": 4.365639410856505e-15, - "11010001011": 4.450002888174633e-15, - "11010001100": 4.68918222778826e-15, - "11010001101": 4.450509409398803e-15, - "11010001110": 4.682295355505759e-15, - "11010001111": 2.9271291719744813e-12, - "11010010000": 2.8410427720387138e-12, - "11010010001": 4.592527680137584e-15, - "11010010010": 4.3669884508822674e-15, - "11010010011": 4.577609161136964e-15, - "11010010100": 4.365860613425935e-15, - "11010010101": 4.261157249678664e-15, - "11010010110": 4.48378791979222e-15, - "11010010111": 2.8030329517418135e-12, - "11010011000": 4.689565440745866e-15, - "11010011001": 4.578109971417822e-15, - "11010011010": 4.4837874249755405e-15, - "11010011011": 2.802908616444401e-12, - "11010011100": 4.6891834968535884e-15, - "11010011101": 2.803023200577344e-12, - "11010011110": 2.9185286147252205e-12, - "11010011111": 1.8468815516070628e-09, - "11010100000": 2.8411667432480117e-12, - "11010100001": 4.5908616038762435e-15, - "11010100010": 4.365639402826899e-15, - "11010100011": 4.4499998962093515e-15, - "11010100100": 4.365860603963388e-15, - "11010100101": 4.2611572497145764e-15, - "11010100110": 4.483783698785638e-15, - "11010100111": 2.803030311851072e-12, - "11010101000": 4.3648957180274245e-15, - "11010101001": 4.261156591974199e-15, - "11010101010": 4.173360289661236e-15, - "11010101011": 2.608854167576753e-12, - "11010101100": 4.365857682837803e-15, - "11010101101": 2.6088471871139225e-12, - "11010101110": 2.7163508768357544e-12, - "11010101111": 1.7189423415390747e-09, - "11010110000": 4.688564457245608e-15, - "11010110001": 4.4505087251958734e-15, - "11010110010": 4.48378615170919e-15, - "11010110011": 2.8029059765625655e-12, - "11010110100": 4.365860613425935e-15, - "11010110101": 2.6088471871132677e-12, - "11010110110": 2.716231973234196e-12, - "11010110111": 1.7188687303019803e-09, - "11010111000": 4.557681246813601e-15, - "11010111001": 2.8030223864294587e-12, - "11010111010": 2.7163527803085477e-12, - "11010111011": 1.7188687308248176e-09, - "11010111100": 2.841041234189657e-12, - "11010111101": 1.7189387295097369e-09, - "11010111110": 1.7897991650223954e-09, - "11010111111": 1.1325515854986906e-06, - "11011000000": 3.05263358065226e-12, - "11011000001": 4.930605197294797e-15, - "11011000010": 4.6893336483183435e-15, - "11011000011": 4.64546074401118e-15, - "11011000100": 4.689185275903738e-15, - "11011000101": 4.4505094120412895e-15, - "11011000110": 4.683716513587951e-15, - "11011000111": 2.9270001327496952e-12, - "11011001000": 4.689568486836465e-15, - "11011001001": 4.578112977980765e-15, - "11011001010": 4.483787415523041e-15, - "11011001011": 2.802908616444401e-12, - "11011001100": 4.690598929454924e-15, - "11011001101": 2.802898478097252e-12, - "11011001110": 2.9183985069291313e-12, - "11011001111": 1.8468007229271512e-09, - "11011010000": 4.688567512743358e-15, - "11011010001": 4.450511728509608e-15, - "11011010010": 4.4837903632909796e-15, - "11011010011": 2.8029086164573163e-12, - "11011010100": 4.365860603963386e-15, - "11011010101": 2.6088471882592897e-12, - "11011010110": 2.716231973230621e-12, - "11011010111": 1.7188687303020398e-09, - "11011011000": 4.559090999552099e-15, - "11011011001": 2.8029003038647105e-12, - "11011011010": 2.716233876736093e-12, - "11011011011": 1.718795117437937e-09, - "11011011100": 2.8409172208950693e-12, - "11011011101": 1.7188651192296831e-09, - "11011011110": 1.78972252075702e-09, - "11011011111": 1.1325030842228985e-06, - "11011100000": 4.896542032378551e-15, - "11011100001": 4.645257091815742e-15, - "11011100010": 4.682297893035361e-15, - "11011100011": 2.9270005109268243e-12, - "11011100100": 4.689185275903734e-15, - "11011100101": 2.8030232018273528e-12, - "11011100110": 2.918398508124393e-12, - "11011100111": 1.8468007287716618e-09, - "11011101000": 4.557684272267064e-15, - "11011101001": 2.803025027563346e-12, - "11011101010": 2.7163527815246858e-12, - "11011101011": 1.7188687308248176e-09, - "11011101100": 2.840917222063579e-12, - "11011101101": 1.7188651192296232e-09, - "11011101110": 1.789722527159759e-09, - "11011101111": 1.1325030884426174e-06, - "11011110000": 4.758341912385756e-15, - "11011110001": 2.9271209003253145e-12, - "11011110010": 2.918529824506856e-12, - "11011110011": 1.8468007234973064e-09, - "11011110100": 2.84104313086438e-12, - "11011110101": 1.7189387302646848e-09, - "11011110110": 1.7897225214661151e-09, - "11011110111": 1.1325030884425907e-06, - "11011111000": 2.9661143719975802e-12, - "11011111001": 1.8468771354563317e-09, - "11011111010": 1.7898004203334847e-09, - "11011111011": 1.132503084769114e-06, - "11011111100": 1.87195735825252e-09, - "11011111101": 1.1325492045864127e-06, - "11011111110": 1.1792366677113033e-06, - "11011111111": 0.0007461990998948389, - "11100000000": 1.954451541640528e-09, - "11100000001": 3.0884701539568146e-12, - "11100000010": 2.9662352743255233e-12, - "11100000011": 5.012907606564763e-15, - "11100000100": 2.9661143719975822e-12, - "11100000101": 4.7929778554312194e-15, - "11100000110": 4.8957820935399996e-15, - "11100000111": 4.849626643708474e-15, - "11100001000": 2.966114390272515e-12, - "11100001001": 4.794696606667685e-15, - "11100001010": 4.557824354354123e-15, - "11100001011": 4.64512657422019e-15, - "11100001100": 4.89561032323434e-15, - "11100001101": 4.645655384740819e-15, - "11100001110": 4.8876089376079765e-15, - "11100001111": 3.055478223802653e-12, - "11100010000": 2.9661143731298172e-12, - "11100010001": 4.79432989170227e-15, - "11100010010": 4.558853734259237e-15, - "11100010011": 4.780671450482719e-15, - "11100010100": 4.557681246813602e-15, - "11100010101": 4.450186741472956e-15, - "11100010110": 4.6826781971397885e-15, - "11100010111": 2.927129187857079e-12, - "11100011000": 4.89561412818973e-15, - "11100011001": 4.781201096390555e-15, - "11100011010": 4.682678919397713e-15, - "11100011011": 2.9270001327496964e-12, - "11100011100": 4.897185753355955e-15, - "11100011101": 2.927119789885907e-12, - "11100011110": 3.047738938001561e-12, - "11100011111": 1.9286476953332526e-09, - "11100100000": 2.9661140008591887e-12, - "11100100001": 4.794696583300399e-15, - "11100100010": 4.558853715605598e-15, - "11100100011": 4.7806714505745615e-15, - "11100100100": 4.559090999552102e-15, - "11100100101": 4.577802107355599e-15, - "11100100110": 4.816259410134468e-15, - "11100100111": 3.0116580305779024e-12, - "11100101000": 4.558058903736682e-15, - "11100101001": 4.577802692627333e-15, - "11100101010": 4.482819146238571e-15, - "11100101011": 2.803030311851072e-12, - "11100101100": 4.6895667080037054e-15, - "11100101101": 2.8030228385657297e-12, - "11100101110": 2.918528613763677e-12, - "11100101111": 1.8468815575917142e-09, - "11100110000": 4.896020877977637e-15, - "11100110001": 4.7811998127745734e-15, - "11100110010": 4.816258863432541e-15, - "11100110011": 3.0115224971229276e-12, - "11100110100": 4.689565440745864e-15, - "11100110101": 2.8030201997940353e-12, - "11100110110": 2.918398156025288e-12, - "11100110111": 1.8468007289106598e-09, - "11100111000": 4.895614128189723e-15, - "11100111001": 3.011647563248459e-12, - "11100111010": 2.918527910260176e-12, - "11100111011": 1.8468007287716625e-09, - "11100111100": 3.05249678552255e-12, - "11100111101": 1.8468759373230484e-09, - "11100111110": 1.923010374287111e-09, - "11100111111": 1.2168451606689691e-06, - "11101000000": 2.9662454037772374e-12, - "11101000001": 4.7929771031910265e-15, - "11101000010": 4.557827381030097e-15, - "11101000011": 4.645126576223758e-15, - "11101000100": 4.557684272267066e-15, - "11101000101": 4.450189735514944e-15, - "11101000110": 4.682678178386979e-15, - "11101000111": 2.927129187857078e-12, - "11101001000": 4.558061947731372e-15, - "11101001001": 4.577805689815753e-15, - "11101001010": 4.4828233487224886e-15, - "11101001011": 2.8030329517418135e-12, - "11101001100": 4.689566689195335e-15, - "11101001101": 2.80302283966058e-12, - "11101001110": 2.9185286137603426e-12, - "11101001111": 1.8468815575917892e-09, - "11101010000": 4.557060809168498e-15, - "11101010001": 4.4501890372470806e-15, - "11101010010": 4.482822075451473e-15, - "11101010011": 2.8030303129588617e-12, - "11101010100": 4.364895718027426e-15, - "11101010101": 2.608960483894869e-12, - "11101010110": 2.716350550219136e-12, - "11101010111": 1.7189423471084597e-09, - "11101011000": 4.55805890373668e-15, - "11101011001": 2.803022025509197e-12, - "11101011010": 2.716352452611889e-12, - "11101011011": 1.7188687303020394e-09, - "11101011100": 2.8410412330869935e-12, - "11101011101": 1.7189387350985564e-09, - "11101011110": 1.7897991708207309e-09, - "11101011111": 1.1325515891723615e-06, - "11101100000": 4.894977603156805e-15, - "11101100001": 4.645657761884325e-15, - "11101100010": 4.6826807141155115e-15, - "11101100011": 2.9270001339591092e-12, - "11101100100": 4.689568486836461e-15, - "11101100101": 2.80302284091061e-12, - "11101100110": 2.9183981572058283e-12, - "11101100111": 1.8468007289106592e-09, - "11101101000": 4.558061947731372e-15, - "11101101001": 2.803024665548312e-12, - "11101101010": 2.7163524538316e-12, - "11101101011": 1.7188687303019803e-09, - "11101101100": 2.840916874897224e-12, - "11101101101": 1.7188651187107865e-09, - "11101101110": 1.7897225265793238e-09, - "11101101111": 1.1325030878963733e-06, - "11101110000": 4.7583457056536625e-15, - "11101110001": 2.9271209031756428e-12, - "11101110010": 2.9185298235419387e-12, - "11101110011": 1.8468007295014794e-09, - "11101110100": 2.8410431297649755e-12, - "11101110101": 1.7189387358534445e-09, - "11101110110": 1.789722527288494e-09, - "11101110111": 1.132503092115615e-06, - "11101111000": 2.966114390272513e-12, - "11101111001": 1.8468771414388737e-09, - "11101111010": 1.789800426131763e-09, - "11101111011": 1.1325030884425907e-06, - "11101111100": 1.8719573643185967e-09, - "11101111101": 1.132549208260037e-06, - "11101111110": 1.1792366715363658e-06, - "11101111111": 0.0007461991023152651, - "11110000000": 3.0968447538839614e-12, - "11110000001": 5.004004833817212e-15, - "11110000010": 4.758504242546473e-15, - "11110000011": 4.849633306226172e-15, - "11110000100": 4.7583419123857635e-15, - "11110000101": 4.645327989343913e-15, - "11110000110": 4.888015263090721e-15, - "11110000111": 3.055478223802653e-12, - "11110001000": 4.7583457056536696e-15, - "11110001001": 4.780882791633384e-15, - "11110001010": 4.681671888479685e-15, - "11110001011": 2.9271291719744817e-12, - "11110001100": 4.897592444949906e-15, - "11110001101": 2.92711939728867e-12, - "11110001110": 3.047738920619736e-12, - "11110001111": 1.9286476953340996e-09, - "11110010000": 4.758746580848468e-15, - "11110010001": 4.780881507765385e-15, - "11110010010": 4.815257790606177e-15, - "11110010011": 3.0116580155185353e-12, - "11110010100": 4.688564457245607e-15, - "11110010101": 2.803144524795106e-12, - "11110010110": 2.9185282520283433e-12, - "11110010111": 1.8468815575917899e-09, - "11110011000": 4.896020877977629e-15, - "11110011001": 3.0116471657581016e-12, - "11110011010": 2.918527548513473e-12, - "11110011011": 1.8468007229271517e-09, - "11110011100": 3.0524967681532717e-12, - "11110011101": 1.8468759373436998e-09, - "11110011110": 1.9230103742861196e-09, - "11110011111": 1.2168451606695292e-06, - "11110100000": 4.757704542011165e-15, - "11110100001": 4.645330354668294e-15, - "11110100010": 4.681673692488321e-15, - "11110100011": 2.9271291731839296e-12, - "11110100100": 4.688567512743354e-15, - "11110100101": 2.8031471648127863e-12, - "11110100110": 2.9185282532122274e-12, - "11110100111": 1.8468815575917142e-09, - "11110101000": 4.5570608091684954e-15, - "11110101001": 2.8031463506339388e-12, - "11110101010": 2.7164709857822094e-12, - "11110101011": 1.7189423415390747e-09, - "11110101100": 2.841040876529055e-12, - "11110101101": 1.718938729006104e-09, - "11110101110": 1.7897991708437172e-09, - "11110101111": 1.1325515891728386e-06, - "11110110000": 4.7587465808484626e-15, - "11110110001": 2.9271205105785976e-12, - "11110110010": 2.9185294617987667e-12, - "11110110011": 1.8468007236568925e-09, - "11110110100": 2.841042772038711e-12, - "11110110101": 1.718938729761053e-09, - "11110110110": 1.7897225209087559e-09, - "11110110111": 1.1325030878963733e-06, - "11110111000": 2.966114373129816e-12, - "11110111001": 1.8468771414594508e-09, - "11110111010": 1.789800426154824e-09, - "11110111011": 1.1325030884426174e-06, - "11110111100": 1.8719573643175338e-09, - "11110111101": 1.1325492082605162e-06, - "11110111110": 1.1792366715368633e-06, - "11110111111": 0.0007461991023155791, - "11111000000": 4.9671825210020426e-15, - "11111000001": 4.849846039763447e-15, - "11111000010": 4.8869664950439234e-15, - "11111000011": 3.0554782084736e-12, - "11111000100": 4.896542032378543e-15, - "11111000101": 2.9272484418445682e-12, - "11111000110": 3.047738544407683e-12, - "11111000111": 1.9286476953332526e-09, - "11111001000": 4.8949776031568e-15, - "11111001001": 3.0117826885692293e-12, - "11111001010": 2.9186576139857305e-12, - "11111001011": 1.846881551607064e-09, - "11111001100": 3.0524963914286427e-12, - "11111001101": 1.8468759314977573e-09, - "11111001110": 1.9230103743096136e-09, - "11111001111": 1.2168451606695292e-06, - "11111010000": 4.757704542011158e-15, - "11111010001": 2.927249553887063e-12, - "11111010010": 2.918659526062599e-12, - "11111010011": 1.8468815523369e-09, - "11111010100": 2.8411667432480092e-12, - "11111010101": 1.7190123439975268e-09, - "11111010110": 1.7897991651682701e-09, - "11111010111": 1.1325515891723615e-06, - "11111011000": 2.9661140008591875e-12, - "11111011001": 1.8468771356135675e-09, - "11111011010": 1.7898004197701722e-09, - "11111011011": 1.1325030842228985e-06, - "11111011100": 1.8719573643408235e-09, - "11111011101": 1.1325492082600662e-06, - "11111011110": 1.1792366715368637e-06, - "11111011111": 0.0007461991023155791, - "11111100000": 4.9671825210020465e-15, - "11111100001": 3.0556038498178234e-12, - "11111100010": 3.0478748038305223e-12, - "11111100011": 1.928647689880545e-09, - "11111100100": 3.05263358065226e-12, - "11111100101": 1.8469567642958463e-09, - "11111100110": 1.92301036896743e-09, - "11111100111": 1.2168451606689691e-06, - "11111101000": 2.966245403777236e-12, - "11111101001": 1.8469579676635004e-09, - "11111101010": 1.7898770682079812e-09, - "11111101011": 1.1325515854986906e-06, - "11111101100": 1.8719573584127124e-09, - "11111101101": 1.1325492040401357e-06, - "11111101110": 1.1792366715363442e-06, - "11111101111": 0.0007461991023155791, - "11111110000": 3.0968447538839606e-12, - "11111110001": 1.928726964729016e-09, - "11111110010": 1.9230953293181556e-09, - "11111110011": 1.2168451572027875e-06, - "11111110100": 1.8720387734165345e-09, - "11111110101": 1.1325977077885496e-06, - "11111110110": 1.1792366676098131e-06, - "11111110111": 0.0007461991023152651, - "11111111000": 1.9544515416405265e-09, - "11111111001": 1.2168955046518746e-06, - "11111111010": 1.1792879969761387e-06, - "11111111011": 0.0007461990998948389, - "11111111100": 1.2334206756173621e-06, - "11111111101": 0.0007462294879498028, - "11111111110": 0.0007769915613156678, - "11111111111": 0.4916658541957829 + "00000000000": 0.32785967111546765, + "00000000001": 0.013262385583143375, + "00000000010": 0.012696909800310971, + "00000000011": 0.0005389446322906444, + "00000000100": 0.01268328662879835, + "00000000101": 0.0005136322299743656, + "00000000110": 0.0005305206045082318, + "00000000111": 2.187203557225313e-05, + "00000001000": 0.012683315484131675, + "00000001001": 0.0005130441643552191, + "00000001010": 0.000491723615428867, + "00000001011": 2.0882254555356023e-05, + "00000001100": 0.0005299417689091457, + "00000001101": 2.1471174806348705e-05, + "00000001110": 2.1534077409104247e-05, + "00000001111": 8.81097622385719e-07, + "00000010000": 0.012683315573273537, + "00000010001": 0.0005130453686723343, + "00000010010": 0.0004911700483454238, + "00000010011": 2.0858520641755497e-05, + "00000010100": 0.0004911958566967567, + "00000010101": 1.9901131204258915e-05, + "00000010110": 2.0554464982138303e-05, + "00000010111": 8.412204368677956e-07, + "00000011000": 0.0005299428330388971, + "00000011001": 2.1446359328507495e-05, + "00000011010": 2.055409292401493e-05, + "00000011011": 8.666050091394199e-07, + "00000011100": 2.151074994102138e-05, + "00000011101": 8.652482818899307e-07, + "00000011110": 8.692150788983187e-07, + "00000011111": 3.9430091222433885e-08, + "00000100000": 0.01268331557278174, + "00000100001": 0.0005130453733807386, + "00000100010": 0.0004911713352919298, + "00000100011": 2.085855819023315e-05, + "00000100100": 0.0004906430306483558, + "00000100101": 1.9878875353988623e-05, + "00000100110": 2.0530931531022138e-05, + "00000100111": 8.401598848747464e-07, + "00000101000": 0.0004911969746966024, + "00000101001": 1.9878488476616752e-05, + "00000101010": 1.9050945265924205e-05, + "00000101011": 8.031378348312809e-07, + "00000101100": 2.0532050190263698e-05, + "00000101101": 8.25900711861579e-07, + "00000101110": 8.300254223433906e-07, + "00000101111": 3.7645518226285286e-08, + "00000110000": 0.0005299428371540463, + "00000110001": 2.144639241359041e-05, + "00000110010": 2.053055382962275e-05, + "00000110011": 8.654984560598652e-07, + "00000110100": 2.053204470358751e-05, + "00000110101": 8.258856964367567e-07, + "00000110110": 8.548470111448393e-07, + "00000110111": 3.8688172633617647e-08, + "00000111000": 2.1510792635110927e-05, + "00000111001": 8.641491069722602e-07, + "00000111010": 8.300169877179426e-07, + "00000111011": 3.8712885803837507e-08, + "00000111100": 8.682667425276174e-07, + "00000111101": 3.8645616177605906e-08, + "00000111110": 3.6874208294337474e-08, + "00000111111": 3.9430091222433865e-08, + "00001000000": 0.012683315573273537, + "00001000001": 0.000513045373337308, + "00001000010": 0.0004911713393811732, + "00001000011": 2.0858557385668056e-05, + "00001000100": 0.0004906443159334217, + "00001000101": 1.9878916482592943e-05, + "00001000110": 2.0530967232042745e-05, + "00001000111": 8.401755889158303e-07, + "00001001000": 0.0004906441471053525, + "00001001001": 1.9856266237556304e-05, + "00001001010": 1.902962185647016e-05, + "00001001011": 8.02139876427178e-07, + "00001001100": 2.050854277599593e-05, + "00001001101": 8.248548852475092e-07, + "00001001110": 8.290052499240251e-07, + "00001001111": 3.769064607882995e-08, + "00001010000": 0.0004911969781716499, + "00001010001": 1.987852427547542e-05, + "00001010010": 1.9029616162370312e-05, + "00001010011": 8.021250061011679e-07, + "00001010100": 1.9030509738274457e-05, + "00001010101": 7.653946024126961e-07, + "00001010110": 7.922659610519616e-07, + "00001010111": 3.5941072448156404e-08, + "00001011000": 2.053209120274173e-05, + "00001011001": 8.248457010609188e-07, + "00001011010": 7.922726525720542e-07, + "00001011011": 3.6937424989492816e-08, + "00001011100": 8.291197150895923e-07, + "00001011101": 3.690262871678179e-08, + "00001011110": 3.520549902193524e-08, + "00001011111": 3.7645518226285286e-08, + "00001100000": 0.0005299428371540463, + "00001100001": 2.1446391616816433e-05, + "00001100010": 2.053058954221694e-05, + "00001100011": 8.655141601258971e-07, + "00001100100": 2.0508537308230444e-05, + "00001100101": 8.248396196187027e-07, + "00001100110": 8.537761444293603e-07, + "00001100111": 3.8731762347194017e-08, + "00001101000": 2.053209121771967e-05, + "00001101001": 8.248454483680981e-07, + "00001101010": 7.922521618693375e-07, + "00001101011": 3.6936763803480315e-08, + "00001101100": 8.539081523511624e-07, + "00001101101": 3.79025199527714e-08, + "00001101110": 3.621091712867862e-08, + "00001101111": 3.769064607882994e-08, + "00001110000": 2.1510792800156926e-05, + "00001110001": 8.64164818299334e-07, + "00001110010": 8.289965817857574e-07, + "00001110011": 3.875693809725125e-08, + "00001110100": 8.291194816352636e-07, + "00001110101": 3.690220510507882e-08, + "00001110110": 3.621115653164378e-08, + "00001110111": 3.767571154314978e-08, + "00001111000": 8.682687033182788e-07, + "00001111001": 3.868919108456341e-08, + "00001111010": 3.5204520218425566e-08, + "00001111011": 3.767524236654761e-08, + "00001111100": 3.683941543403882e-08, + "00001111101": 3.770735529030793e-08, + "00001111110": 4.122408848659704e-08, + "00001111111": 8.810976223857194e-07, + "00010000000": 0.012683315484131675, + "00010000001": 0.0005130453697204112, + "00010000010": 0.0004911713358518501, + "00010000011": 2.0858557307469934e-05, + "00010000100": 0.0004906443165486728, + "00010000101": 1.987891556306587e-05, + "00010000110": 2.0530966418168207e-05, + "00010000111": 8.401762575737608e-07, + "00010001000": 0.0004906454289223248, + "00010001001": 1.985630701891468e-05, + "00010001010": 1.9029659527059454e-05, + "00010001011": 8.021551165882009e-07, + "00010001100": 2.0508578278751992e-05, + "00010001101": 8.248701265425691e-07, + "00010001110": 8.290217482367879e-07, + "00010001111": 3.767571154314978e-08, + "00010010000": 0.0004906441471053525, + "00010010001": 1.9856301696565582e-05, + "00010010010": 1.900832407468227e-05, + "00010010011": 8.011269264569204e-07, + "00010010100": 1.9009209256689556e-05, + "00010010101": 7.644433937090673e-07, + "00010010110": 7.913069124920155e-07, + "00010010111": 3.598484308334047e-08, + "00010011000": 2.0508583596239467e-05, + "00010011001": 8.237995555767617e-07, + "00010011010": 7.912933714404088e-07, + "00010011011": 3.697946876148195e-08, + "00010011100": 8.281005349915669e-07, + "00010011101": 3.694523022211312e-08, + "00010011110": 3.522386885725526e-08, + "00010011111": 3.8688172633617614e-08, + "00010100000": 0.0004911969746966024, + "00010100001": 1.9878523371098865e-05, + "00010100010": 1.9029653844986837e-05, + "00010100011": 8.021399970533926e-07, + "00010100100": 1.9009209268551307e-05, + "00010100101": 7.644431408762512e-07, + "00010100110": 7.912864251233164e-07, + "00010100111": 3.598416840325824e-08, + "00010101000": 1.9030552716114592e-05, + "00010101001": 7.644290072820585e-07, + "00010101010": 7.342467549335835e-07, + "00010101011": 3.431377747473526e-08, + "00010101100": 7.913957197761621e-07, + "00010101101": 3.5209514931839884e-08, + "00010101110": 3.3617164389238554e-08, + "00010101111": 3.594107244815636e-08, + "00010110000": 2.0532091217719653e-05, + "00010110001": 8.248607119346972e-07, + "00010110010": 7.912931302188394e-07, + "00010110011": 3.6979038688896246e-08, + "00010110100": 7.914159716900841e-07, + "00010110101": 3.520976470331888e-08, + "00010110110": 3.454927558434424e-08, + "00010110111": 3.5984843083340426e-08, + "00010111000": 8.291215800583333e-07, + "00010111001": 3.694421630782972e-08, + "00010111010": 3.361685139178711e-08, + "00010111011": 3.597070173313017e-08, + "00010111100": 3.517228185482024e-08, + "00010111101": 3.6000684414083866e-08, + "00010111110": 3.935834028011857e-08, + "00010111111": 8.412204368677961e-07, + "00011000000": 0.0005299428330388971, + "00011000001": 2.144639151985058e-05, + "00011000010": 2.0530588713418325e-05, + "00011000011": 8.655148406668355e-07, + "00011000100": 2.050857279601512e-05, + "00011000101": 8.248548642605024e-07, + "00011000110": 8.537926756484598e-07, + "00011000111": 3.871662653971459e-08, + "00011001000": 2.0508583596239474e-05, + "00011001001": 8.237993062895424e-07, + "00011001010": 7.91272657219097e-07, + "00011001011": 3.6978817962511207e-08, + "00011001100": 8.528383458489467e-07, + "00011001101": 3.794315385982521e-08, + "00011001110": 3.622740161373153e-08, + "00011001111": 3.8731762347194003e-08, + "00011010000": 2.0532091202741735e-05, + "00011010001": 8.248607151884864e-07, + "00011010010": 7.912928998848248e-07, + "00011010011": 3.697905938361985e-08, + "00011010100": 7.913955062694967e-07, + "00011010101": 3.520888376493347e-08, + "00011010110": 3.4548651943187954e-08, + "00011010111": 3.59841684032582e-08, + "00011011000": 8.539100797809359e-07, + "00011011001": 3.7942808147607326e-08, + "00011011010": 3.454808477652128e-08, + "00011011011": 3.603010274206594e-08, + "00011011100": 3.617658753717997e-08, + "00011011101": 3.6046045197685236e-08, + "00011011110": 3.9428508801159506e-08, + "00011011111": 8.401598848747472e-07, + "00011100000": 2.1510792635110927e-05, + "00011100001": 8.64165496618483e-07, + "00011100010": 8.290130801989942e-07, + "00011100011": 3.8741804101234394e-08, + "00011100100": 8.281003017005102e-07, + "00011100101": 3.694481627149151e-08, + "00011100110": 3.6227640139060585e-08, + "00011100111": 3.871662653971457e-08, + "00011101000": 8.291215800583333e-07, + "00011101001": 3.6944236455225263e-08, + "00011101010": 3.361622047501326e-08, + "00011101011": 3.597004746868358e-08, + "00011101100": 3.617658695015992e-08, + "00011101101": 3.604606597261113e-08, + "00011101110": 3.9415160411499714e-08, + "00011101111": 8.401755889158307e-07, + "00011110000": 8.682687033182785e-07, + "00011110001": 3.86740349260615e-08, + "00011110010": 3.522287120551451e-08, + "00011110011": 3.8716159709263265e-08, + "00011110100": 3.517227319318133e-08, + "00011110101": 3.600003611138617e-08, + "00011110110": 3.942854092205045e-08, + "00011110111": 8.40176257573761e-07, + "00011111000": 3.683925656772685e-08, + "00011111001": 3.875064103434307e-08, + "00011111010": 3.9358933791671566e-08, + "00011111011": 8.40174038846017e-07, + "00011111100": 4.1287304019746914e-08, + "00011111101": 8.41085848196483e-07, + "00011111110": 8.769079313337399e-07, + "00011111111": 2.1872035572253114e-05, + "00100000000": 0.01268328662879835, + "00100000001": 0.0005130442023330274, + "00100000010": 0.0004911702182083793, + "00100000011": 2.0858510063414783e-05, + "00100000100": 0.0004906432000367099, + "00100000101": 1.9878870595459193e-05, + "00100000110": 2.0530919997536972e-05, + "00100000111": 8.401740388460164e-07, + "00100001000": 0.0004906443165486728, + "00100001001": 1.985626124632465e-05, + "00100001010": 1.902961578602526e-05, + "00100001011": 8.021537219196816e-07, + "00100001100": 2.0508531161653734e-05, + "00100001101": 8.248686890402068e-07, + "00100001110": 8.290201560706629e-07, + "00100001111": 3.7675242366547614e-08, + "00100010000": 0.0004906443159334217, + "00100010001": 1.9856297625130248e-05, + "00100010010": 1.9008318611656757e-05, + "00100010011": 8.01140310266425e-07, + "00100010100": 1.9009203956352926e-05, + "00100010101": 7.644560006444615e-07, + "00100010110": 7.913209080716887e-07, + "00100010111": 3.5970701733130216e-08, + "00100011000": 2.0508572796015115e-05, + "00100011001": 8.238128926025677e-07, + "00100011010": 7.91307133317551e-07, + "00100011011": 3.6965140042884205e-08, + "00100011100": 8.281149365822036e-07, + "00100011101": 3.693090943360217e-08, + "00100011110": 3.5208828314180924e-08, + "00100011111": 3.8712885803837454e-08, + "00100100000": 0.0004906430306483558, + "00100100001": 1.9856255939075307e-05, + "00100100010": 1.9008318623683124e-05, + "00100100011": 8.011400611112977e-07, + "00100100100": 1.8987897339131186e-05, + "00100100101": 7.634898641128005e-07, + "00100100110": 7.903255809429334e-07, + "00100100111": 3.6030102742065976e-08, + "00100101000": 1.9009209268551317e-05, + "00100101001": 7.634755027373699e-07, + "00100101010": 7.333549439285425e-07, + "00100101011": 3.435569853543534e-08, + "00100101100": 7.904356124718363e-07, + "00100101101": 3.525080578605624e-08, + "00100101110": 3.3635468886745955e-08, + "00100101111": 3.693742498949278e-08, + "00100110000": 2.0508537308230437e-05, + "00100110001": 8.238126621976867e-07, + "00100110010": 7.90311826721351e-07, + "00100110011": 3.702326878372485e-08, + "00100110100": 7.904356293287316e-07, + "00100110101": 3.525015405940583e-08, + "00100110110": 3.4565352410192035e-08, + "00100110111": 3.697946876148191e-08, + "00100111000": 8.2810030170051e-07, + "00100111001": 3.69890000392872e-08, + "00100111010": 3.363450290615423e-08, + "00100111011": 3.6965140042884165e-08, + "00100111100": 3.519093363892594e-08, + "00100111101": 3.699615052600395e-08, + "00100111110": 4.042492781730168e-08, + "00100111111": 8.666050091394201e-07, + "00101000000": 0.0004911958566967567, + "00101000001": 1.9878478391974253e-05, + "00101000010": 1.902961009209344e-05, + "00101000011": 8.021386056655935e-07, + "00101000100": 1.9009203956352926e-05, + "00101000101": 7.644557513112785e-07, + "00101000110": 7.913001904417766e-07, + "00101000111": 3.5970047468683634e-08, + "00101001000": 1.9009209256689556e-05, + "00101001001": 7.634755062363302e-07, + "00101001010": 7.333547106426326e-07, + "00101001011": 3.435570914774844e-08, + "00101001100": 7.90415154007442e-07, + "00101001101": 3.524991490787874e-08, + "00101001110": 3.3634828108769434e-08, + "00101001111": 3.693676380348027e-08, + "00101010000": 1.9030509738274457e-05, + "00101010001": 7.644414071638808e-07, + "00101010010": 7.333547233652528e-07, + "00101010011": 3.43550545868849e-08, + "00101010100": 7.334508528977038e-07, + "00101010101": 3.270888921756411e-08, + "00101010110": 3.207367870015655e-08, + "00101010111": 3.431377747473526e-08, + "00101011000": 7.913955062694965e-07, + "00101011001": 3.524893043520672e-08, + "00101011010": 3.2073373248406615e-08, + "00101011011": 3.435569853543534e-08, + "00101011100": 3.358557244262741e-08, + "00101011101": 3.4371246672176425e-08, + "00101011110": 3.757624899880687e-08, + "00101011111": 8.031378348312809e-07, + "00101100000": 2.0532044703587504e-05, + "00101100001": 8.248592745064391e-07, + "00101100010": 7.91306892121444e-07, + "00101100011": 3.6964729824118235e-08, + "00101100100": 7.904356293287318e-07, + "00101100101": 3.525016416056934e-08, + "00101100110": 3.45647181342899e-08, + "00101100111": 3.697881796251118e-08, + "00101101000": 7.914159716900841e-07, + "00101101001": 3.5249831265580157e-08, + "00101101010": 3.207337293856028e-08, + "00101101011": 3.435570914774844e-08, + "00101101100": 3.451641123667319e-08, + "00101101101": 3.44284646042681e-08, + "00101101110": 3.764478050889429e-08, + "00101101111": 8.02139876427178e-07, + "00101110000": 8.291194816352632e-07, + "00101110001": 3.692988690320363e-08, + "00101110010": 3.36344930175547e-08, + "00101110011": 3.696449382742481e-08, + "00101110100": 3.358619420817206e-08, + "00101110101": 3.437126303316734e-08, + "00101110110": 3.7644784895978833e-08, + "00101110111": 8.021551165882009e-07, + "00101111000": 3.517227319318133e-08, + "00101111001": 3.699673004716732e-08, + "00101111010": 3.757751027263505e-08, + "00101111011": 8.021537219196816e-07, + "00101111100": 3.941868350910609e-08, + "00101111101": 8.030241907083102e-07, + "00101111110": 8.372252014117738e-07, + "00101111111": 2.0882254555356033e-05, + "00110000000": 0.0005299417689091457, + "00110000001": 2.1446348674776735e-05, + "00110000010": 2.0530547782263033e-05, + "00110000011": 8.655127931367895e-07, + "00110000100": 2.0508531161653744e-05, + "00110000101": 8.248536491379781e-07, + "00110000110": 8.537912630224651e-07, + "00110000111": 3.871615970926329e-08, + "00110001000": 2.050857827875201e-05, + "00110001001": 8.238128654571841e-07, + "00110001010": 7.912866361656653e-07, + "00110001011": 3.6964493827424844e-08, + "00110001100": 8.528529514184992e-07, + "00110001101": 3.792864533840413e-08, + "00110001110": 3.621215954325555e-08, + "00110001111": 3.8756938097251215e-08, + "00110010000": 2.050854277599594e-05, + "00110010001": 8.23812887593406e-07, + "00110010010": 7.903118133671108e-07, + "00110010011": 3.702329442531783e-08, + "00110010100": 7.904151540074422e-07, + "00110010101": 3.5249291420980176e-08, + "00110010110": 3.456474067848302e-08, + "00110010111": 3.697903868889621e-08, + "00110011000": 8.528383458489467e-07, + "00110011001": 3.798563911623524e-08, + "00110011010": 3.456352786964458e-08, + "00110011011": 3.702326878372481e-08, + "00110011100": 3.6193364990711456e-08, + "00110011101": 3.704004950192918e-08, + "00110011110": 4.049390508712296e-08, + "00110011111": 8.654984560598658e-07, + "00110100000": 2.0532050190263708e-05, + "00110100001": 8.248594968116392e-07, + "00110100010": 7.913071091181429e-07, + "00110100011": 3.696473459058321e-08, + "00110100100": 7.904356124718366e-07, + "00110100101": 3.525019224562812e-08, + "00110100110": 3.456474022709384e-08, + "00110100111": 3.6979059383619824e-08, + "00110101000": 7.913957197761621e-07, + "00110101001": 3.524895805696789e-08, + "00110101010": 3.207257348788749e-08, + "00110101011": 3.43550545868849e-08, + "00110101100": 3.45157961446648e-08, + "00110101101": 3.442782321860832e-08, + "00110101110": 3.7644076550635195e-08, + "00110101111": 8.021250061011679e-07, + "00110110000": 8.539081523511624e-07, + "00110110001": 3.792827026273743e-08, + "00110110010": 3.456415149369541e-08, + "00110110011": 3.70232944253178e-08, + "00110110100": 3.4516411236673206e-08, + "00110110101": 3.442782897715668e-08, + "00110110110": 3.7727913230281386e-08, + "00110110111": 8.011269264569204e-07, + "00110111000": 3.617658695015992e-08, + "00110111001": 3.7041309581662776e-08, + "00110111010": 3.7645328926703506e-08, + "00110111011": 8.01140310266425e-07, + "00110111100": 3.9488746411004575e-08, + "00110111101": 8.020105697378831e-07, + "00110111110": 8.361451837705332e-07, + "00110111111": 2.0858520641755503e-05, + "00111000000": 2.151074994102137e-05, + "00111000001": 8.641634626592176e-07, + "00111000010": 8.290117215389725e-07, + "00111000011": 3.87413364639307e-08, + "00111000100": 8.281149365822038e-07, + "00111000101": 3.693050058239843e-08, + "00111000110": 3.621239859960517e-08, + "00111000111": 3.874180410123439e-08, + "00111001000": 8.281005349915671e-07, + "00111001001": 3.6989025706925015e-08, + "00111001010": 3.36338842886067e-08, + "00111001011": 3.696472982411819e-08, + "00111001100": 3.6193364990711456e-08, + "00111001101": 3.704006976970388e-08, + "00111001110": 4.0480379869887326e-08, + "00111001111": 8.655141601258977e-07, + "00111010000": 8.291197150895927e-07, + "00111010001": 3.6929892242983444e-08, + "00111010010": 3.363451548111006e-08, + "00111010011": 3.696473459058319e-08, + "00111010100": 3.358557244262743e-08, + "00111010101": 3.43706311273147e-08, + "00111010110": 3.764411035014645e-08, + "00111010111": 8.021399970533926e-07, + "00111011000": 3.6176587537179975e-08, + "00111011001": 3.7041308978607213e-08, + "00111011010": 3.7645358341382255e-08, + "00111011011": 8.011400611112977e-07, + "00111011100": 3.9475395206491205e-08, + "00111011101": 8.02025098302134e-07, + "00111011110": 8.361596180812281e-07, + "00111011111": 2.085855819023315e-05, + "00111100000": 8.682667425276174e-07, + "00111100001": 3.867357079255667e-08, + "00111100010": 3.520783929078163e-08, + "00111100011": 3.874133646393067e-08, + "00111100100": 3.519093363892594e-08, + "00111100101": 3.699574710113298e-08, + "00111100110": 4.0493937484927125e-08, + "00111100111": 8.65514840666836e-07, + "00111101000": 3.517228185482025e-08, + "00111101001": 3.699697154270773e-08, + "00111101010": 3.757681648374217e-08, + "00111101011": 8.021386056655935e-07, + "00111101100": 3.9488746411004575e-08, + "00111101101": 8.020103236295775e-07, + "00111101110": 8.36159620964077e-07, + "00111101111": 2.0858557385668056e-05, + "00111110000": 3.683941543403882e-08, + "00111110001": 3.8775571945989664e-08, + "00111110010": 4.042553199861113e-08, + "00111110011": 8.655127931367899e-07, + "00111110100": 3.941868350910609e-08, + "00111110101": 8.030092994908376e-07, + "00111110110": 8.361451482385466e-07, + "00111110111": 2.0858557307469934e-05, + "00111111000": 4.1287304019746914e-08, + "00111111001": 8.664670969992627e-07, + "00111111010": 8.372254627454409e-07, + "00111111011": 2.0858510063414783e-05, + "00111111100": 8.784969046930501e-07, + "00111111101": 2.088090027462344e-05, + "00111111110": 2.1812109191027026e-05, + "00111111111": 0.0005389446322906434, + "01000000000": 0.01269690980031098, + "01000000001": 0.0005135952834692563, + "01000000010": 0.0004916978024537586, + "01000000011": 2.088090027462344e-05, + "01000000100": 0.0004911702182083793, + "01000000101": 1.9900209215393612e-05, + "01000000110": 2.0552960601005308e-05, + "01000000111": 8.410858481964826e-07, + "01000001000": 0.0004911713358518501, + "01000001001": 1.9877575432693265e-05, + "01000001010": 1.9050044572272446e-05, + "01000001011": 8.030241907083102e-07, + "01000001100": 2.0530547782263033e-05, + "01000001101": 8.257636655410271e-07, + "01000001110": 8.299173013225812e-07, + "01000001111": 3.770735529030794e-08, + "01000010000": 0.0004911713393811732, + "01000010001": 1.9877611004673922e-05, + "01000010010": 1.9028723614342242e-05, + "01000010011": 8.020105697378831e-07, + "01000010100": 1.902961009209344e-05, + "01000010101": 7.652862666464708e-07, + "01000010110": 7.921778122311679e-07, + "01000010111": 3.6000684414083886e-08, + "01000011000": 2.0530588713418318e-05, + "01000011001": 8.247076283738383e-07, + "01000011010": 7.921640257354965e-07, + "01000011011": 3.6996150526003983e-08, + "01000011100": 8.290117215389721e-07, + "01000011101": 3.696185467203109e-08, + "01000011110": 3.524052772452233e-08, + "01000011111": 3.864561617760588e-08, + "01000100000": 0.0004911713352919298, + "01000100001": 1.9877611019775713e-05, + "01000100010": 1.9028761909332685e-05, + "01000100011": 8.02025098302134e-07, + "01000100100": 1.9008318623683124e-05, + "01000100101": 7.643333482302122e-07, + "01000100110": 7.911972510811327e-07, + "01000100111": 3.604604519768529e-08, + "01000101000": 1.9029653844986837e-05, + "01000101001": 7.643189746489585e-07, + "01000101010": 7.341637833571217e-07, + "01000101011": 3.4371246672176425e-08, + "01000101100": 7.913071091181426e-07, + "01000101101": 3.52670802686332e-08, + "01000101110": 3.3651643727765604e-08, + "01000101111": 3.6902628716781756e-08, + "01000110000": 2.0530589542216933e-05, + "01000110001": 8.247221714992481e-07, + "01000110010": 7.911832513359785e-07, + "01000110011": 3.704004950192922e-08, + "01000110100": 7.91306892121444e-07, + "01000110101": 3.526645179314991e-08, + "01000110110": 3.458235623718261e-08, + "01000110111": 3.6945230222113113e-08, + "01000111000": 8.290130801989942e-07, + "01000111001": 3.700572510017924e-08, + "01000111010": 3.365069544112691e-08, + "01000111011": 3.693090943360216e-08, + "01000111100": 3.520783929078163e-08, + "01000111101": 3.696185467203106e-08, + "01000111110": 4.038777899003151e-08, + "01000111111": 8.652482818899303e-07, + "01001000000": 0.0004911700483454238, + "01001000001": 1.987757010715771e-05, + "01001000010": 1.9028723614342242e-05, + "01001000011": 8.020103236295775e-07, + "01001000100": 1.9008318611656757e-05, + "01001000101": 7.643333517008792e-07, + "01001000110": 7.911970207342774e-07, + "01001000111": 3.604606597261117e-08, + "01001001000": 1.900832407468227e-05, + "01001001001": 7.633516613107152e-07, + "01001001010": 7.332578751241949e-07, + "01001001011": 3.442846460426812e-08, + "01001001100": 7.903118133671108e-07, + "01001001101": 3.5322969476117535e-08, + "01001001110": 3.368519553617169e-08, + "01001001111": 3.7902519952771366e-08, + "01001010000": 1.9029616162370312e-05, + "01001010001": 7.643187673722099e-07, + "01001010010": 7.332576509358485e-07, + "01001010011": 3.442782321860833e-08, + "01001010100": 7.333547233652528e-07, + "01001010101": 3.2776691049155255e-08, + "01001010110": 3.2120125923392606e-08, + "01001010111": 3.520951493183991e-08, + "01001011000": 7.912928998848245e-07, + "01001011001": 3.532199093275415e-08, + "01001011010": 3.211981312646721e-08, + "01001011011": 3.5250805786056266e-08, + "01001011100": 3.3634515481110026e-08, + "01001011101": 3.5267080268633223e-08, + "01001011110": 3.853681406582014e-08, + "01001011111": 8.259007118615794e-07, + "01001100000": 2.053055382962274e-05, + "01001100001": 8.247073977952399e-07, + "01001100010": 7.911832513359785e-07, + "01001100011": 3.704006976970392e-08, + "01001100100": 7.90311826721351e-07, + "01001100101": 3.532233073520013e-08, + "01001100110": 3.4613887813836523e-08, + "01001100111": 3.7943153859825186e-08, + "01001101000": 7.912931302188394e-07, + "01001101001": 3.5321990469445525e-08, + "01001101010": 3.211899155341944e-08, + "01001101011": 3.524991490787877e-08, + "01001101100": 3.456415149369541e-08, + "01001101101": 3.5322969476117555e-08, + "01001101110": 3.860405902944131e-08, + "01001101111": 8.248548852475094e-07, + "01001110000": 8.289965817857574e-07, + "01001110001": 3.700571660307786e-08, + "01001110010": 3.368421471726733e-08, + "01001110011": 3.7928645338404086e-08, + "01001110100": 3.36344930175547e-08, + "01001110101": 3.526621839833731e-08, + "01001110110": 3.860409372772873e-08, + "01001110111": 8.248701265425693e-07, + "01001111000": 3.522287120551453e-08, + "01001111001": 3.796189680493363e-08, + "01001111010": 3.853714288540424e-08, + "01001111011": 8.248686890402074e-07, + "01001111100": 4.042553199861113e-08, + "01001111101": 8.257636655410273e-07, + "01001111110": 8.609544779648984e-07, + "01001111111": 2.1471174806348705e-05, + "01010000000": 0.000491723615428867, + "01010000001": 1.989982254548231e-05, + "01010000010": 1.9050044572272446e-05, + "01010000011": 8.030092994908376e-07, + "01010000100": 1.902961578602526e-05, + "01010000101": 7.652862471026481e-07, + "01010000110": 7.921573139727336e-07, + "01010000111": 3.6000036111386205e-08, + "01010001000": 1.9029659527059454e-05, + "01010001001": 7.643192078983663e-07, + "01010001010": 7.341637742696999e-07, + "01010001011": 3.437126303316734e-08, + "01010001100": 7.912866361656651e-07, + "01010001101": 3.526621839833729e-08, + "01010001110": 3.365102606614208e-08, + "01010001111": 3.69022051050788e-08, + "01010010000": 1.902962185647016e-05, + "01010010001": 7.643189971513517e-07, + "01010010010": 7.332578751241949e-07, + "01010010011": 3.442782897715668e-08, + "01010010100": 7.333547106426326e-07, + "01010010101": 3.277671046608072e-08, + "01010010110": 3.21201391995937e-08, + "01010010111": 3.5209764703318885e-08, + "01010011000": 7.912726572190968e-07, + "01010011001": 3.5321108855960467e-08, + "01010011010": 3.2119005139480184e-08, + "01010011011": 3.5250154059405846e-08, + "01010011100": 3.363388428860668e-08, + "01010011101": 3.526645179314992e-08, + "01010011110": 3.853612291083703e-08, + "01010011111": 8.258856964367569e-07, + "01010100000": 1.9050945265924205e-05, + "01010100001": 7.652718871161616e-07, + "01010100010": 7.341637833571217e-07, + "01010100011": 3.437063112731468e-08, + "01010100100": 7.333549439285425e-07, + "01010100101": 3.27767101457483e-08, + "01010100110": 3.211931763016351e-08, + "01010100111": 3.520888376493349e-08, + "01010101000": 7.342467549335835e-07, + "01010101001": 3.277555647917191e-08, + "01010101010": 2.980346291918817e-08, + "01010101011": 3.270888921756413e-08, + "01010101100": 3.207257348788749e-08, + "01010101101": 3.2776691049155255e-08, + "01010101110": 3.58212577124026e-08, + "01010101111": 7.653946024126961e-07, + "01010110000": 7.922521618693373e-07, + "01010110001": 3.5265229340504765e-08, + "01010110010": 3.2118991553419457e-08, + "01010110011": 3.524929142098018e-08, + "01010110100": 3.207337293856027e-08, + "01010110101": 3.277671046608073e-08, + "01010110110": 3.5898987722548865e-08, + "01010110111": 7.644433937090673e-07, + "01010111000": 3.361622047501324e-08, + "01010111001": 3.526675454008678e-08, + "01010111010": 3.5822461057515595e-08, + "01010111011": 7.644560006444617e-07, + "01010111100": 3.7576816483742164e-08, + "01010111101": 7.652862666464708e-07, + "01010111110": 7.978779012612873e-07, + "01010111111": 1.9901131204258922e-05, + "01011000000": 2.0554092924014922e-05, + "01011000001": 8.257544920536365e-07, + "01011000010": 7.921640257354965e-07, + "01011000011": 3.699574710113303e-08, + "01011000100": 7.91307133317551e-07, + "01011000101": 3.5266468179460033e-08, + "01011000110": 3.4581745623313903e-08, + "01011000111": 3.694481627149146e-08, + "01011001000": 7.912933714404088e-07, + "01011001001": 3.532199676689063e-08, + "01011001010": 3.2119005139480184e-08, + "01011001011": 3.525016416056936e-08, + "01011001100": 3.456352786964457e-08, + "01011001101": 3.532233073520015e-08, + "01011001110": 3.8603387342171485e-08, + "01011001111": 8.248396196187031e-07, + "01011010000": 7.922726525720542e-07, + "01011010001": 3.5266107911290816e-08, + "01011010010": 3.211981312646721e-08, + "01011010011": 3.5250192245628136e-08, + "01011010100": 3.2073373248406615e-08, + "01011010101": 3.2776710145748294e-08, + "01011010110": 3.589900782057725e-08, + "01011010111": 7.64443140876251e-07, + "01011011000": 3.454808477652126e-08, + "01011011001": 3.5323533025237505e-08, + "01011011010": 3.5900194560844634e-08, + "01011011011": 7.634898641128005e-07, + "01011011100": 3.764535834138222e-08, + "01011011101": 7.64333348230212e-07, + "01011011110": 7.968630284824277e-07, + "01011011111": 1.9878875353988623e-05, + "01011100000": 8.300169877179426e-07, + "01011100001": 3.696084260284331e-08, + "01011100010": 3.36506954411269e-08, + "01011100011": 3.6930500582398395e-08, + "01011100100": 3.363450290615423e-08, + "01011100101": 3.526646817946005e-08, + "01011100110": 3.860339239600309e-08, + "01011100111": 8.248548642605029e-07, + "01011101000": 3.361685139178711e-08, + "01011101001": 3.526763278925655e-08, + "01011101010": 3.5822461057515595e-08, + "01011101011": 7.644557513112789e-07, + "01011101100": 3.764532892670348e-08, + "01011101101": 7.643333517008792e-07, + "01011101110": 7.968762127992759e-07, + "01011101111": 1.9878916482592943e-05, + "01011110000": 3.5204520218425566e-08, + "01011110001": 3.696243208656042e-08, + "01011110010": 3.853714288540424e-08, + "01011110011": 8.248536491379779e-07, + "01011110100": 3.7577510272635034e-08, + "01011110101": 7.652862471026483e-07, + "01011110110": 7.96863247501006e-07, + "01011110111": 1.987891556306587e-05, + "01011111000": 3.935893379167155e-08, + "01011111001": 8.25763057662298e-07, + "01011111010": 7.978929255635893e-07, + "01011111011": 1.9878870595459193e-05, + "01011111100": 8.372254627454405e-07, + "01011111101": 1.9900209215393612e-05, + "01011111110": 2.0787684562425337e-05, + "01011111111": 0.0005136322299743656, + "01100000000": 0.0005305206045082318, + "01100000001": 2.1469759265638213e-05, + "01100000010": 2.0552960601005308e-05, + "01100000011": 8.664670969992621e-07, + "01100000100": 2.0530919997536982e-05, + "01100000101": 8.25763057662298e-07, + "01100000110": 8.547299770737461e-07, + "01100000111": 3.875064103434307e-08, + "01100001000": 2.0530966418168207e-05, + "01100001001": 8.24722023832244e-07, + "01100001010": 7.921573139727336e-07, + "01100001011": 3.699673004716735e-08, + "01100001100": 8.537912630224651e-07, + "01100001101": 3.796189680493364e-08, + "01100001110": 3.624619435881637e-08, + "01100001111": 3.868919108456341e-08, + "01100010000": 2.053096723204275e-05, + "01100010001": 8.247368194730464e-07, + "01100010010": 7.911970207342774e-07, + "01100010011": 3.704130958166281e-08, + "01100010100": 7.913001904417768e-07, + "01100010101": 3.5266754540086764e-08, + "01100010110": 3.458294097572416e-08, + "01100010111": 3.69442163078297e-08, + "01100011000": 8.537926756484598e-07, + "01100011001": 3.8004482950195435e-08, + "01100011010": 3.4581745623313937e-08, + "01100011011": 3.698900003928717e-08, + "01100011100": 3.621239859960516e-08, + "01100011101": 3.7005725100179224e-08, + "01100011110": 4.045675539754551e-08, + "01100011111": 8.641491069722595e-07, + "01100100000": 2.0530931531022138e-05, + "01100100001": 8.247220427041988e-07, + "01100100010": 7.911972510811327e-07, + "01100100011": 3.7041308978607246e-08, + "01100100100": 7.903255809429334e-07, + "01100100101": 3.5323533025237505e-08, + "01100100110": 3.461511524824972e-08, + "01100100111": 3.7942808147607286e-08, + "01100101000": 7.912864251233166e-07, + "01100101001": 3.532230469264409e-08, + "01100101010": 3.211931763016351e-08, + "01100101011": 3.5248930435206744e-08, + "01100101100": 3.456474022709384e-08, + "01100101101": 3.532199093275417e-08, + "01100101110": 3.86030523655968e-08, + "01100101111": 8.248457010609194e-07, + "01100110000": 8.537761444293603e-07, + "01100110001": 3.800445334659721e-08, + "01100110010": 3.4613887813836523e-08, + "01100110011": 3.798563911623522e-08, + "01100110100": 3.456471813428991e-08, + "01100110101": 3.532110885596049e-08, + "01100110110": 3.868582379736497e-08, + "01100110111": 8.237995555767619e-07, + "01100111000": 3.622764013906058e-08, + "01100111001": 3.800448295019542e-08, + "01100111010": 3.860339239600309e-08, + "01100111011": 8.238128926025681e-07, + "01100111100": 4.04939374849271e-08, + "01100111101": 8.247076283738384e-07, + "01100111110": 8.598298045410991e-07, + "01100111111": 2.1446359328507495e-05, + "01101000000": 2.0554464982138313e-05, + "01101000001": 8.257689180173827e-07, + "01101000010": 7.921778122311681e-07, + "01101000011": 3.6996971542707765e-08, + "01101000100": 7.913209080716889e-07, + "01101000101": 3.526763278925653e-08, + "01101000110": 3.458294097572416e-08, + "01101000111": 3.694423645522523e-08, + "01101001000": 7.913069124920157e-07, + "01101001001": 3.53231932141253e-08, + "01101001010": 3.21201391995937e-08, + "01101001011": 3.524983126558019e-08, + "01101001100": 3.456474067848302e-08, + "01101001101": 3.5321990469445545e-08, + "01101001110": 3.8603082007791186e-08, + "01101001111": 8.248454483680983e-07, + "01101010000": 7.922659610519618e-07, + "01101010001": 3.5266394255174134e-08, + "01101010010": 3.21201259233926e-08, + "01101010011": 3.52489580569679e-08, + "01101010100": 3.207367870015655e-08, + "01101010101": 3.2775556479171904e-08, + "01101010110": 3.5897800666142706e-08, + "01101010111": 7.644290072820585e-07, + "01101011000": 3.4548651943187954e-08, + "01101011001": 3.53223046926441e-08, + "01101011010": 3.589900782057725e-08, + "01101011011": 7.634755027373699e-07, + "01101011100": 3.764411035014644e-08, + "01101011101": 7.643189746489587e-07, + "01101011110": 7.968479797360324e-07, + "01101011111": 1.9878488476616752e-05, + "01101100000": 8.548470111448393e-07, + "01101100001": 3.7961526217075e-08, + "01101100010": 3.458235623718262e-08, + "01101100011": 3.6989025706924975e-08, + "01101100100": 3.456535241019204e-08, + "01101100101": 3.5321996766890636e-08, + "01101100110": 3.868582379736497e-08, + "01101100111": 8.237993062895426e-07, + "01101101000": 3.454927558434425e-08, + "01101101001": 3.532319321412531e-08, + "01101101010": 3.5898987722548865e-08, + "01101101011": 7.634755062363302e-07, + "01101101100": 3.7727913230281386e-08, + "01101101101": 7.633516613107155e-07, + "01101101110": 7.958318556537769e-07, + "01101101111": 1.9856266237556304e-05, + "01101110000": 3.621115653164378e-08, + "01101110001": 3.700674577556267e-08, + "01101110010": 3.860409372772872e-08, + "01101110011": 8.238128654571843e-07, + "01101110100": 3.764478489597882e-08, + "01101110101": 7.643192078983665e-07, + "01101110110": 7.958320712451292e-07, + "01101110111": 1.985630701891468e-05, + "01101111000": 3.9428540922050414e-08, + "01101111001": 8.247220238322438e-07, + "01101111010": 7.96863247501006e-07, + "01101111011": 1.985626124632465e-05, + "01101111100": 8.361451482385462e-07, + "01101111101": 1.9877575432693272e-05, + "01101111110": 2.0764058212237053e-05, + "01101111111": 0.0005130441643552193, + "01110000000": 2.1534077409104247e-05, + "01110000001": 8.651100298866314e-07, + "01110000010": 8.299173013225812e-07, + "01110000011": 3.877557194598967e-08, + "01110000100": 8.290201560706629e-07, + "01110000101": 3.696243208656044e-08, + "01110000110": 3.624619435881639e-08, + "01110000111": 3.867403492606148e-08, + "01110001000": 8.290217482367879e-07, + "01110001001": 3.7006745775562706e-08, + "01110001010": 3.36510260661421e-08, + "01110001011": 3.6929886903203604e-08, + "01110001100": 3.621215954325555e-08, + "01110001101": 3.7005716603077846e-08, + "01110001110": 4.044320612504136e-08, + "01110001111": 8.641648182993336e-07, + "01110010000": 8.290052499240251e-07, + "01110010001": 3.700671695481714e-08, + "01110010010": 3.3685195536171716e-08, + "01110010011": 3.79282702627374e-08, + "01110010100": 3.3634828108769454e-08, + "01110010101": 3.5265229340504785e-08, + "01110010110": 3.8603082007791186e-08, + "01110010111": 8.248607119346974e-07, + "01110011000": 3.622740161373154e-08, + "01110011001": 3.8004453346597176e-08, + "01110011010": 3.8603387342171485e-08, + "01110011011": 8.238126621976872e-07, + "01110011100": 4.0480379869887326e-08, + "01110011101": 8.247221714992481e-07, + "01110011110": 8.598442487005688e-07, + "01110011111": 2.144639241359041e-05, + "01110100000": 8.300254223433906e-07, + "01110100001": 3.696182743683939e-08, + "01110100010": 3.365164372776564e-08, + "01110100011": 3.692989224298342e-08, + "01110100100": 3.363546888674597e-08, + "01110100101": 3.526610791129083e-08, + "01110100110": 3.860305236559679e-08, + "01110100111": 8.248607151884868e-07, + "01110101000": 3.361716438923856e-08, + "01110101001": 3.5266394255174154e-08, + "01110101010": 3.58212577124026e-08, + "01110101011": 7.644414071638808e-07, + "01110101100": 3.7644076550635175e-08, + "01110101101": 7.643187673722099e-07, + "01110101110": 7.968609485281027e-07, + "01110101111": 1.987852427547542e-05, + "01110110000": 3.621091712867863e-08, + "01110110001": 3.700671695481712e-08, + "01110110010": 3.860405902944131e-08, + "01110110011": 8.238128875934062e-07, + "01110110100": 3.764478050889428e-08, + "01110110101": 7.643189971513517e-07, + "01110110110": 7.958318556537769e-07, + "01110110111": 1.9856301696565582e-05, + "01110111000": 3.94151604114997e-08, + "01110111001": 8.247368194730466e-07, + "01110111010": 7.968762127992759e-07, + "01110111011": 1.9856297625130248e-05, + "01110111100": 8.361596209640767e-07, + "01110111101": 1.987761100467393e-05, + "01110111110": 2.0764097309776427e-05, + "01110111111": 0.0005130453686723345, + "01111000000": 8.692150788983187e-07, + "01111000001": 3.870771849752768e-08, + "01111000010": 3.524052772452233e-08, + "01111000011": 3.867357079255667e-08, + "01111000100": 3.5208828314180924e-08, + "01111000101": 3.69608426028433e-08, + "01111000110": 4.045675539754551e-08, + "01111000111": 8.641654966184825e-07, + "01111001000": 3.522386885725527e-08, + "01111001001": 3.796152621707498e-08, + "01111001010": 3.853612291083703e-08, + "01111001011": 8.248592745064395e-07, + "01111001100": 4.049390508712296e-08, + "01111001101": 8.247073977952401e-07, + "01111001110": 8.598442487005688e-07, + "01111001111": 2.1446391616816433e-05, + "01111010000": 3.520549902193527e-08, + "01111010001": 3.696182743683937e-08, + "01111010010": 3.853681406582014e-08, + "01111010011": 8.248594968116394e-07, + "01111010100": 3.757624899880685e-08, + "01111010101": 7.652718871161613e-07, + "01111010110": 7.968479797360324e-07, + "01111010111": 1.9878523371098865e-05, + "01111011000": 3.9428508801159506e-08, + "01111011001": 8.247220427041988e-07, + "01111011010": 7.968630284824277e-07, + "01111011011": 1.9856255939075307e-05, + "01111011100": 8.361596180812278e-07, + "01111011101": 1.9877611019775723e-05, + "01111011110": 2.0764096352550873e-05, + "01111011111": 0.0005130453733807384, + "01111100000": 3.687420829433751e-08, + "01111100001": 3.870771849752767e-08, + "01111100010": 4.0387778990031524e-08, + "01111100011": 8.641634626592172e-07, + "01111100100": 4.042492781730168e-08, + "01111100101": 8.257544920536366e-07, + "01111100110": 8.598298045410991e-07, + "01111100111": 2.144639151985058e-05, + "01111101000": 3.935834028011856e-08, + "01111101001": 8.257689180173827e-07, + "01111101010": 7.978779012612873e-07, + "01111101011": 1.9878478391974253e-05, + "01111101100": 8.361451837705326e-07, + "01111101101": 1.987757010715771e-05, + "01111101110": 2.0764097309776427e-05, + "01111101111": 0.0005130453733373081, + "01111110000": 4.1224088486597056e-08, + "01111110001": 8.651100298866309e-07, + "01111110010": 8.609544779648984e-07, + "01111110011": 2.1446348674776735e-05, + "01111110100": 8.372252014117734e-07, + "01111110101": 1.989982254548231e-05, + "01111110110": 2.0764058212237046e-05, + "01111110111": 0.0005130453697204114, + "01111111000": 8.769079313337399e-07, + "01111111001": 2.1469759265638206e-05, + "01111111010": 2.0787684562425337e-05, + "01111111011": 0.0005130442023330275, + "01111111100": 2.1812109191027026e-05, + "01111111101": 0.0005135952834692565, + "01111111110": 0.0005364682273722808, + "01111111111": 0.013262385583143394, + "10000000000": 0.013262385583143375, + "10000000001": 0.0005364682273722805, + "10000000010": 0.0005135952834692563, + "10000000011": 2.181210919102702e-05, + "10000000100": 0.0005130442023330274, + "10000000101": 2.0787684562425337e-05, + "10000000110": 2.146975926563822e-05, + "10000000111": 8.769079313337397e-07, + "10000001000": 0.0005130453697204112, + "10000001001": 2.0764058212237046e-05, + "10000001010": 1.989982254548231e-05, + "10000001011": 8.372252014117734e-07, + "10000001100": 2.144634867477676e-05, + "10000001101": 8.609544779648986e-07, + "10000001110": 8.651100298866314e-07, + "10000001111": 4.12240884865971e-08, + "10000010000": 0.000513045373337308, + "10000010001": 2.076409730977642e-05, + "10000010010": 1.987757010715771e-05, + "10000010011": 8.361451837705326e-07, + "10000010100": 1.9878478391974253e-05, + "10000010101": 7.978779012612873e-07, + "10000010110": 8.257689180173829e-07, + "10000010111": 3.93583402801186e-08, + "10000011000": 2.14463915198506e-05, + "10000011001": 8.598298045410991e-07, + "10000011010": 8.257544920536369e-07, + "10000011011": 4.042492781730171e-08, + "10000011100": 8.641634626592176e-07, + "10000011101": 4.038777899003156e-08, + "10000011110": 3.870771849752767e-08, + "10000011111": 3.687420829433744e-08, + "10000100000": 0.0005130453733807386, + "10000100001": 2.0764096352550863e-05, + "10000100010": 1.9877611019775713e-05, + "10000100011": 8.361596180812278e-07, + "10000100100": 1.9856255939075307e-05, + "10000100101": 7.968630284824275e-07, + "10000100110": 8.24722042704199e-07, + "10000100111": 3.942850880115952e-08, + "10000101000": 1.9878523371098865e-05, + "10000101001": 7.968479797360322e-07, + "10000101010": 7.652718871161616e-07, + "10000101011": 3.7576248998806876e-08, + "10000101100": 8.248594968116394e-07, + "10000101101": 3.8536814065820174e-08, + "10000101110": 3.696182743683942e-08, + "10000101111": 3.520549902193526e-08, + "10000110000": 2.144639161681645e-05, + "10000110001": 8.598442487005688e-07, + "10000110010": 8.247073977952405e-07, + "10000110011": 4.049390508712299e-08, + "10000110100": 8.248592745064397e-07, + "10000110101": 3.853612291083706e-08, + "10000110110": 3.7961526217075e-08, + "10000110111": 3.522386885725525e-08, + "10000111000": 8.64165496618483e-07, + "10000111001": 4.045675539754554e-08, + "10000111010": 3.696084260284335e-08, + "10000111011": 3.5208828314180924e-08, + "10000111100": 3.867357079255669e-08, + "10000111101": 3.524052772452233e-08, + "10000111110": 3.870771849752766e-08, + "10000111111": 8.692150788983189e-07, + "10001000000": 0.0005130453686723343, + "10001000001": 2.076409730977642e-05, + "10001000010": 1.9877611004673922e-05, + "10001000011": 8.361596209640767e-07, + "10001000100": 1.9856297625130248e-05, + "10001000101": 7.968762127992757e-07, + "10001000110": 8.247368194730466e-07, + "10001000111": 3.941516041149972e-08, + "10001001000": 1.9856301696565582e-05, + "10001001001": 7.958318556537768e-07, + "10001001010": 7.643189971513519e-07, + "10001001011": 3.764478050889431e-08, + "10001001100": 8.238128875934062e-07, + "10001001101": 3.860405902944134e-08, + "10001001110": 3.700671695481715e-08, + "10001001111": 3.621091712867861e-08, + "10001010000": 1.987852427547542e-05, + "10001010001": 7.968609485281027e-07, + "10001010010": 7.643187673722101e-07, + "10001010011": 3.764407655063521e-08, + "10001010100": 7.644414071638808e-07, + "10001010101": 3.58212577124026e-08, + "10001010110": 3.5266394255174154e-08, + "10001010111": 3.3617164389238554e-08, + "10001011000": 8.248607151884868e-07, + "10001011001": 3.860305236559683e-08, + "10001011010": 3.5266107911290816e-08, + "10001011011": 3.363546888674597e-08, + "10001011100": 3.692989224298347e-08, + "10001011101": 3.365164372776562e-08, + "10001011110": 3.696182743683938e-08, + "10001011111": 8.300254223433907e-07, + "10001100000": 2.1446392413590427e-05, + "10001100001": 8.598442487005688e-07, + "10001100010": 8.247221714992481e-07, + "10001100011": 4.0480379869887346e-08, + "10001100100": 8.238126621976873e-07, + "10001100101": 3.860338734217153e-08, + "10001100110": 3.800445334659722e-08, + "10001100111": 3.622740161373154e-08, + "10001101000": 8.248607119346978e-07, + "10001101001": 3.8603082007791225e-08, + "10001101010": 3.526522934050477e-08, + "10001101011": 3.363482810876945e-08, + "10001101100": 3.7928270262737445e-08, + "10001101101": 3.3685195536171696e-08, + "10001101110": 3.700671695481712e-08, + "10001101111": 8.290052499240253e-07, + "10001110000": 8.64164818299334e-07, + "10001110001": 4.0443206125041366e-08, + "10001110010": 3.7005716603077866e-08, + "10001110011": 3.621215954325554e-08, + "10001110100": 3.6929886903203656e-08, + "10001110101": 3.36510260661421e-08, + "10001110110": 3.700674577556269e-08, + "10001110111": 8.290217482367883e-07, + "10001111000": 3.86740349260615e-08, + "10001111001": 3.624619435881639e-08, + "10001111010": 3.6962432086560423e-08, + "10001111011": 8.290201560706633e-07, + "10001111100": 3.8775571945989664e-08, + "10001111101": 8.299173013225817e-07, + "10001111110": 8.651100298866318e-07, + "10001111111": 2.1534077409104247e-05, + "10010000000": 0.0005130441643552191, + "10010000001": 2.0764058212237046e-05, + "10010000010": 1.9877575432693265e-05, + "10010000011": 8.361451482385462e-07, + "10010000100": 1.985626124632465e-05, + "10010000101": 7.968632475010058e-07, + "10010000110": 8.247220238322443e-07, + "10010000111": 3.9428540922050454e-08, + "10010001000": 1.985630701891468e-05, + "10010001001": 7.958320712451292e-07, + "10010001010": 7.643192078983667e-07, + "10010001011": 3.7644784895978866e-08, + "10010001100": 8.238128654571843e-07, + "10010001101": 3.860409372772875e-08, + "10010001110": 3.7006745775562726e-08, + "10010001111": 3.621115653164376e-08, + "10010010000": 1.9856266237556304e-05, + "10010010001": 7.958318556537768e-07, + "10010010010": 7.633516613107156e-07, + "10010010011": 3.772791323028142e-08, + "10010010100": 7.634755062363304e-07, + "10010010101": 3.589898772254885e-08, + "10010010110": 3.532319321412532e-08, + "10010010111": 3.454927558434425e-08, + "10010011000": 8.23799306289543e-07, + "10010011001": 3.868582379736499e-08, + "10010011010": 3.5321996766890636e-08, + "10010011011": 3.456535241019204e-08, + "10010011100": 3.698902570692503e-08, + "10010011101": 3.458235623718263e-08, + "10010011110": 3.796152621707498e-08, + "10010011111": 8.548470111448397e-07, + "10010100000": 1.9878488476616752e-05, + "10010100001": 7.968479797360322e-07, + "10010100010": 7.643189746489587e-07, + "10010100011": 3.7644110350146484e-08, + "10010100100": 7.634755027373701e-07, + "10010100101": 3.589900782057725e-08, + "10010100110": 3.53223046926441e-08, + "10010100111": 3.4548651943187974e-08, + "10010101000": 7.644290072820585e-07, + "10010101001": 3.5897800666142706e-08, + "10010101010": 3.277555647917191e-08, + "10010101011": 3.207367870015655e-08, + "10010101100": 3.52489580569679e-08, + "10010101101": 3.2120125923392606e-08, + "10010101110": 3.5266394255174154e-08, + "10010101111": 7.922659610519618e-07, + "10010110000": 8.248454483680986e-07, + "10010110001": 3.8603082007791225e-08, + "10010110010": 3.532199046944555e-08, + "10010110011": 3.456474067848303e-08, + "10010110100": 3.524983126558019e-08, + "10010110101": 3.21201391995937e-08, + "10010110110": 3.532319321412531e-08, + "10010110111": 7.913069124920157e-07, + "10010111000": 3.694423645522527e-08, + "10010111001": 3.4582940975724165e-08, + "10010111010": 3.526763278925655e-08, + "10010111011": 7.913209080716891e-07, + "10010111100": 3.6996971542707725e-08, + "10010111101": 7.921778122311679e-07, + "10010111110": 8.257689180173829e-07, + "10010111111": 2.0554464982138337e-05, + "10011000000": 2.144635932850751e-05, + "10011000001": 8.598298045410991e-07, + "10011000010": 8.247076283738388e-07, + "10011000011": 4.0493937484927125e-08, + "10011000100": 8.238128926025684e-07, + "10011000101": 3.860339239600312e-08, + "10011000110": 3.800448295019544e-08, + "10011000111": 3.6227640139060565e-08, + "10011001000": 8.237995555767621e-07, + "10011001001": 3.868582379736499e-08, + "10011001010": 3.532110885596049e-08, + "10011001011": 3.456471813428992e-08, + "10011001100": 3.798563911623524e-08, + "10011001101": 3.4613887813836523e-08, + "10011001110": 3.8004453346597176e-08, + "10011001111": 8.537761444293608e-07, + "10011010000": 8.248457010609194e-07, + "10011010001": 3.860305236559683e-08, + "10011010010": 3.532199093275417e-08, + "10011010011": 3.456474022709386e-08, + "10011010100": 3.524893043520673e-08, + "10011010101": 3.2119317630163525e-08, + "10011010110": 3.53223046926441e-08, + "10011010111": 7.912864251233166e-07, + "10011011000": 3.794280814760734e-08, + "10011011001": 3.4615115248249736e-08, + "10011011010": 3.532353302523752e-08, + "10011011011": 7.903255809429336e-07, + "10011011100": 3.70413089786072e-08, + "10011011101": 7.911972510811331e-07, + "10011011110": 8.24722042704199e-07, + "10011011111": 2.053093153102216e-05, + "10011100000": 8.641491069722602e-07, + "10011100001": 4.045675539754554e-08, + "10011100010": 3.700572510017926e-08, + "10011100011": 3.621239859960515e-08, + "10011100100": 3.698900003928722e-08, + "10011100101": 3.4581745623313917e-08, + "10011100110": 3.800448295019542e-08, + "10011100111": 8.537926756484602e-07, + "10011101000": 3.694421630782974e-08, + "10011101001": 3.4582940975724165e-08, + "10011101010": 3.526675454008678e-08, + "10011101011": 7.913001904417768e-07, + "10011101100": 3.7041309581662776e-08, + "10011101101": 7.911970207342774e-07, + "10011101110": 8.247368194730466e-07, + "10011101111": 2.053096723204277e-05, + "10011110000": 3.8689191084563397e-08, + "10011110001": 3.624619435881637e-08, + "10011110010": 3.796189680493363e-08, + "10011110011": 8.537912630224651e-07, + "10011110100": 3.69967300471673e-08, + "10011110101": 7.921573139727338e-07, + "10011110110": 8.247220238322443e-07, + "10011110111": 2.053096641816823e-05, + "10011111000": 3.875064103434304e-08, + "10011111001": 8.547299770737466e-07, + "10011111010": 8.25763057662298e-07, + "10011111011": 2.0530919997536996e-05, + "10011111100": 8.664670969992627e-07, + "10011111101": 2.055296060100533e-05, + "10011111110": 2.146975926563822e-05, + "10011111111": 0.0005305206045082318, + "10100000000": 0.0005136322299743656, + "10100000001": 2.0787684562425337e-05, + "10100000010": 1.9900209215393612e-05, + "10100000011": 8.372254627454407e-07, + "10100000100": 1.9878870595459193e-05, + "10100000101": 7.978929255635893e-07, + "10100000110": 8.25763057662298e-07, + "10100000111": 3.9358933791671566e-08, + "10100001000": 1.987891556306587e-05, + "10100001001": 7.968632475010058e-07, + "10100001010": 7.652862471026484e-07, + "10100001011": 3.757751027263507e-08, + "10100001100": 8.248536491379779e-07, + "10100001101": 3.853714288540427e-08, + "10100001110": 3.696243208656047e-08, + "10100001111": 3.520452021842556e-08, + "10100010000": 1.9878916482592943e-05, + "10100010001": 7.968762127992757e-07, + "10100010010": 7.643333517008794e-07, + "10100010011": 3.7645328926703526e-08, + "10100010100": 7.644557513112789e-07, + "10100010101": 3.582246105751558e-08, + "10100010110": 3.526763278925653e-08, + "10100010111": 3.361685139178709e-08, + "10100011000": 8.248548642605029e-07, + "10100011001": 3.860339239600312e-08, + "10100011010": 3.5266468179460047e-08, + "10100011011": 3.363450290615421e-08, + "10100011100": 3.693050058239845e-08, + "10100011101": 3.365069544112689e-08, + "10100011110": 3.696084260284331e-08, + "10100011111": 8.300169877179428e-07, + "10100100000": 1.9878875353988623e-05, + "10100100001": 7.968630284824275e-07, + "10100100010": 7.643333482302122e-07, + "10100100011": 3.764535834138226e-08, + "10100100100": 7.634898641128007e-07, + "10100100101": 3.590019456084463e-08, + "10100100110": 3.5323533025237505e-08, + "10100100111": 3.4548084776521266e-08, + "10100101000": 7.644431408762512e-07, + "10100101001": 3.589900782057724e-08, + "10100101010": 3.27767101457483e-08, + "10100101011": 3.2073373248406615e-08, + "10100101100": 3.5250192245628136e-08, + "10100101101": 3.211981312646722e-08, + "10100101110": 3.526610791129083e-08, + "10100101111": 7.922726525720544e-07, + "10100110000": 8.248396196187031e-07, + "10100110001": 3.860338734217153e-08, + "10100110010": 3.532233073520013e-08, + "10100110011": 3.456352786964457e-08, + "10100110100": 3.5250164160569356e-08, + "10100110101": 3.2119005139480184e-08, + "10100110110": 3.5321996766890636e-08, + "10100110111": 7.91293371440409e-07, + "10100111000": 3.694481627149151e-08, + "10100111001": 3.4581745623313917e-08, + "10100111010": 3.526646817946005e-08, + "10100111011": 7.913071333175513e-07, + "10100111100": 3.6995747101132986e-08, + "10100111101": 7.921640257354965e-07, + "10100111110": 8.257544920536369e-07, + "10100111111": 2.0554092924014945e-05, + "10101000000": 1.9901131204258915e-05, + "10101000001": 7.978779012612873e-07, + "10101000010": 7.652862666464708e-07, + "10101000011": 3.7576816483742184e-08, + "10101000100": 7.644560006444615e-07, + "10101000101": 3.582246105751558e-08, + "10101000110": 3.5266754540086784e-08, + "10101000111": 3.361622047501324e-08, + "10101001000": 7.644433937090674e-07, + "10101001001": 3.589898772254885e-08, + "10101001010": 3.277671046608072e-08, + "10101001011": 3.207337293856028e-08, + "10101001100": 3.524929142098018e-08, + "10101001101": 3.211899155341944e-08, + "10101001110": 3.526522934050477e-08, + "10101001111": 7.922521618693373e-07, + "10101010000": 7.653946024126961e-07, + "10101010001": 3.58212577124026e-08, + "10101010010": 3.2776691049155255e-08, + "10101010011": 3.20725734878875e-08, + "10101010100": 3.270888921756411e-08, + "10101010101": 2.9803462919188164e-08, + "10101010110": 3.277555647917191e-08, + "10101010111": 7.342467549335835e-07, + "10101011000": 3.520888376493348e-08, + "10101011001": 3.2119317630163525e-08, + "10101011010": 3.27767101457483e-08, + "10101011011": 7.333549439285425e-07, + "10101011100": 3.437063112731468e-08, + "10101011101": 7.341637833571217e-07, + "10101011110": 7.652718871161616e-07, + "10101011111": 1.90509452659242e-05, + "10101100000": 8.258856964367569e-07, + "10101100001": 3.853612291083706e-08, + "10101100010": 3.526645179314991e-08, + "10101100011": 3.363388428860667e-08, + "10101100100": 3.525015405940585e-08, + "10101100101": 3.2119005139480184e-08, + "10101100110": 3.532110885596047e-08, + "10101100111": 7.912726572190972e-07, + "10101101000": 3.5209764703318885e-08, + "10101101001": 3.21201391995937e-08, + "10101101010": 3.277671046608072e-08, + "10101101011": 7.333547106426326e-07, + "10101101100": 3.442782897715668e-08, + "10101101101": 7.332578751241949e-07, + "10101101110": 7.643189971513519e-07, + "10101101111": 1.902962185647016e-05, + "10101110000": 3.6902205105078835e-08, + "10101110001": 3.365102606614209e-08, + "10101110010": 3.526621839833731e-08, + "10101110011": 7.912866361656653e-07, + "10101110100": 3.437126303316734e-08, + "10101110101": 7.341637742696999e-07, + "10101110110": 7.643192078983663e-07, + "10101110111": 1.902965952705946e-05, + "10101111000": 3.600003611138617e-08, + "10101111001": 7.921573139727338e-07, + "10101111010": 7.652862471026484e-07, + "10101111011": 1.902961578602526e-05, + "10101111100": 8.030092994908376e-07, + "10101111101": 1.9050044572272446e-05, + "10101111110": 1.989982254548232e-05, + "10101111111": 0.000491723615428867, + "10110000000": 2.1471174806348722e-05, + "10110000001": 8.609544779648984e-07, + "10110000010": 8.257636655410273e-07, + "10110000011": 4.042553199861116e-08, + "10110000100": 8.248686890402074e-07, + "10110000101": 3.853714288540427e-08, + "10110000110": 3.7961896804933675e-08, + "10110000111": 3.522287120551451e-08, + "10110001000": 8.248701265425695e-07, + "10110001001": 3.860409372772875e-08, + "10110001010": 3.5266218398337304e-08, + "10110001011": 3.363449301755469e-08, + "10110001100": 3.792864533840413e-08, + "10110001101": 3.368421471726731e-08, + "10110001110": 3.7005716603077846e-08, + "10110001111": 8.289965817857579e-07, + "10110010000": 8.248548852475094e-07, + "10110010001": 3.860405902944134e-08, + "10110010010": 3.532296947611756e-08, + "10110010011": 3.456415149369541e-08, + "10110010100": 3.524991490787877e-08, + "10110010101": 3.211899155341944e-08, + "10110010110": 3.5321990469445545e-08, + "10110010111": 7.912931302188394e-07, + "10110011000": 3.7943153859825226e-08, + "10110011001": 3.461388781383651e-08, + "10110011010": 3.532233073520015e-08, + "10110011011": 7.903118267213514e-07, + "10110011100": 3.704006976970389e-08, + "10110011101": 7.911832513359786e-07, + "10110011110": 8.247073977952405e-07, + "10110011111": 2.0530553829622762e-05, + "10110100000": 8.259007118615794e-07, + "10110100001": 3.8536814065820174e-08, + "10110100010": 3.5267080268633204e-08, + "10110100011": 3.3634515481110026e-08, + "10110100100": 3.5250805786056266e-08, + "10110100101": 3.211981312646722e-08, + "10110100110": 3.532199093275416e-08, + "10110100111": 7.912928998848245e-07, + "10110101000": 3.520951493183989e-08, + "10110101001": 3.2120125923392606e-08, + "10110101010": 3.277669104915526e-08, + "10110101011": 7.333547233652528e-07, + "10110101100": 3.442782321860832e-08, + "10110101101": 7.332576509358485e-07, + "10110101110": 7.643187673722101e-07, + "10110101111": 1.9029616162370312e-05, + "10110110000": 3.790251995277141e-08, + "10110110001": 3.3685195536171696e-08, + "10110110010": 3.532296947611754e-08, + "10110110011": 7.903118133671108e-07, + "10110110100": 3.442846460426812e-08, + "10110110101": 7.332578751241949e-07, + "10110110110": 7.633516613107156e-07, + "10110110111": 1.9008324074682276e-05, + "10110111000": 3.604606597261113e-08, + "10110111001": 7.911970207342776e-07, + "10110111010": 7.643333517008795e-07, + "10110111011": 1.9008318611656764e-05, + "10110111100": 8.020103236295775e-07, + "10110111101": 1.9028723614342242e-05, + "10110111110": 1.9877570107157717e-05, + "10110111111": 0.0004911700483454238, + "10111000000": 8.652482818899309e-07, + "10111000001": 4.0387778990031544e-08, + "10111000010": 3.6961854672031106e-08, + "10111000011": 3.52078392907816e-08, + "10111000100": 3.693090943360221e-08, + "10111000101": 3.365069544112689e-08, + "10111000110": 3.7005725100179224e-08, + "10111000111": 8.290130801989942e-07, + "10111001000": 3.6945230222113166e-08, + "10111001001": 3.458235623718261e-08, + "10111001010": 3.526645179314992e-08, + "10111001011": 7.913068921214444e-07, + "10111001100": 3.7040049501929184e-08, + "10111001101": 7.911832513359786e-07, + "10111001110": 8.247221714992481e-07, + "10111001111": 2.0530589542216963e-05, + "10111010000": 3.690262871678181e-08, + "10111010001": 3.3651643727765604e-08, + "10111010010": 3.5267080268633223e-08, + "10111010011": 7.913071091181426e-07, + "10111010100": 3.4371246672176425e-08, + "10111010101": 7.341637833571217e-07, + "10111010110": 7.643189746489588e-07, + "10111010111": 1.9029653844986837e-05, + "10111011000": 3.604604519768524e-08, + "10111011001": 7.911972510811331e-07, + "10111011010": 7.643333482302123e-07, + "10111011011": 1.900831862368313e-05, + "10111011100": 8.02025098302134e-07, + "10111011101": 1.9028761909332685e-05, + "10111011110": 1.987761101977573e-05, + "10111011111": 0.0004911713352919298, + "10111100000": 3.8645616177605906e-08, + "10111100001": 3.524052772452233e-08, + "10111100010": 3.696185467203109e-08, + "10111100011": 8.290117215389723e-07, + "10111100100": 3.6996150526003964e-08, + "10111100101": 7.921640257354965e-07, + "10111100110": 8.247076283738388e-07, + "10111100111": 2.053058871341834e-05, + "10111101000": 3.6000684414083866e-08, + "10111101001": 7.921778122311679e-07, + "10111101010": 7.652862666464708e-07, + "10111101011": 1.9029610092093446e-05, + "10111101100": 8.020105697378831e-07, + "10111101101": 1.9028723614342242e-05, + "10111101110": 1.9877611004673936e-05, + "10111101111": 0.0004911713393811732, + "10111110000": 3.770735529030792e-08, + "10111110001": 8.299173013225817e-07, + "10111110010": 8.257636655410273e-07, + "10111110011": 2.0530547782263056e-05, + "10111110100": 8.030241907083102e-07, + "10111110101": 1.9050044572272446e-05, + "10111110110": 1.9877575432693272e-05, + "10111110111": 0.0004911713358518504, + "10111111000": 8.41085848196483e-07, + "10111111001": 2.055296060100533e-05, + "10111111010": 1.990020921539362e-05, + "10111111011": 0.0004911702182083796, + "10111111100": 2.0880900274623432e-05, + "10111111101": 0.0004916978024537586, + "10111111110": 0.0005135952834692569, + "10111111111": 0.012696909800310961, + "11000000000": 0.0005389446322906444, + "11000000001": 2.181210919102702e-05, + "11000000010": 2.088090027462344e-05, + "11000000011": 8.784969046930499e-07, + "11000000100": 2.0858510063414783e-05, + "11000000101": 8.372254627454407e-07, + "11000000110": 8.664670969992625e-07, + "11000000111": 4.128730401974695e-08, + "11000001000": 2.0858557307469934e-05, + "11000001001": 8.361451482385462e-07, + "11000001010": 8.030092994908383e-07, + "11000001011": 3.9418683509106134e-08, + "11000001100": 8.655127931367901e-07, + "11000001101": 4.042553199861114e-08, + "11000001110": 3.877557194598967e-08, + "11000001111": 3.683941543403878e-08, + "11000010000": 2.0858557385668056e-05, + "11000010001": 8.361596209640767e-07, + "11000010010": 8.020103236295779e-07, + "11000010011": 3.9488746411004595e-08, + "11000010100": 8.021386056655939e-07, + "11000010101": 3.757681648374217e-08, + "11000010110": 3.699697154270778e-08, + "11000010111": 3.517228185482023e-08, + "11000011000": 8.655148406668362e-07, + "11000011001": 4.04939374849271e-08, + "11000011010": 3.699574710113304e-08, + "11000011011": 3.519093363892592e-08, + "11000011100": 3.874133646393067e-08, + "11000011101": 3.520783929078161e-08, + "11000011110": 3.867357079255667e-08, + "11000011111": 8.682667425276178e-07, + "11000100000": 2.085855819023315e-05, + "11000100001": 8.361596180812278e-07, + "11000100010": 8.020250983021348e-07, + "11000100011": 3.9475395206491225e-08, + "11000100100": 8.011400611112981e-07, + "11000100101": 3.7645358341382255e-08, + "11000100110": 3.704130897860725e-08, + "11000100111": 3.6176587537179955e-08, + "11000101000": 8.021399970533933e-07, + "11000101001": 3.7644110350146465e-08, + "11000101010": 3.43706311273147e-08, + "11000101011": 3.3585572442627426e-08, + "11000101100": 3.696473459058323e-08, + "11000101101": 3.363451548111004e-08, + "11000101110": 3.6929892242983424e-08, + "11000101111": 8.291197150895926e-07, + "11000110000": 8.655141601258975e-07, + "11000110001": 4.0480379869887326e-08, + "11000110010": 3.704006976970393e-08, + "11000110011": 3.6193364990711436e-08, + "11000110100": 3.696472982411824e-08, + "11000110101": 3.363388428860669e-08, + "11000110110": 3.698902570692498e-08, + "11000110111": 8.281005349915674e-07, + "11000111000": 3.8741804101234394e-08, + "11000111001": 3.621239859960515e-08, + "11000111010": 3.6930500582398395e-08, + "11000111011": 8.281149365822041e-07, + "11000111100": 3.8741336463930676e-08, + "11000111101": 8.290117215389723e-07, + "11000111110": 8.641634626592178e-07, + "11000111111": 2.151074994102138e-05, + "11001000000": 2.0858520641755497e-05, + "11001000001": 8.361451837705326e-07, + "11001000010": 8.020105697378837e-07, + "11001000011": 3.9488746411004595e-08, + "11001000100": 8.011403102664254e-07, + "11001000101": 3.764532892670351e-08, + "11001000110": 3.704130958166283e-08, + "11001000111": 3.61765869501599e-08, + "11001001000": 8.011269264569208e-07, + "11001001001": 3.77279132302814e-08, + "11001001010": 3.44278289771567e-08, + "11001001011": 3.451641123667319e-08, + "11001001100": 3.7023294425317856e-08, + "11001001101": 3.4564151493695426e-08, + "11001001110": 3.7928270262737425e-08, + "11001001111": 8.539081523511628e-07, + "11001010000": 8.021250061011683e-07, + "11001010001": 3.764407655063521e-08, + "11001010010": 3.442782321860835e-08, + "11001010011": 3.451579614466481e-08, + "11001010100": 3.4355054586884906e-08, + "11001010101": 3.20725734878875e-08, + "11001010110": 3.524895805696791e-08, + "11001010111": 7.913957197761621e-07, + "11001011000": 3.697905938361987e-08, + "11001011001": 3.456474022709386e-08, + "11001011010": 3.5250192245628136e-08, + "11001011011": 7.904356124718363e-07, + "11001011100": 3.6964734590583176e-08, + "11001011101": 7.913071091181426e-07, + "11001011110": 8.248594968116394e-07, + "11001011111": 2.0532050190263715e-05, + "11001100000": 8.654984560598655e-07, + "11001100001": 4.049390508712296e-08, + "11001100010": 3.704004950192924e-08, + "11001100011": 3.6193364990711436e-08, + "11001100100": 3.702326878372487e-08, + "11001100101": 3.456352786964457e-08, + "11001100110": 3.798563911623522e-08, + "11001100111": 8.528383458489469e-07, + "11001101000": 3.6979038688896265e-08, + "11001101001": 3.456474067848303e-08, + "11001101010": 3.524929142098018e-08, + "11001101011": 7.90415154007442e-07, + "11001101100": 3.70232944253178e-08, + "11001101101": 7.903118133671108e-07, + "11001101110": 8.238128875934062e-07, + "11001101111": 2.0508542775995963e-05, + "11001110000": 3.875693809725122e-08, + "11001110001": 3.621215954325554e-08, + "11001110010": 3.792864533840412e-08, + "11001110011": 8.528529514184992e-07, + "11001110100": 3.6964493827424804e-08, + "11001110101": 7.912866361656653e-07, + "11001110110": 8.238128654571843e-07, + "11001110111": 2.0508578278752023e-05, + "11001111000": 3.8716159709263265e-08, + "11001111001": 8.537912630224651e-07, + "11001111010": 8.248536491379779e-07, + "11001111011": 2.0508531161653768e-05, + "11001111100": 8.655127931367904e-07, + "11001111101": 2.0530547782263056e-05, + "11001111110": 2.1446348674776752e-05, + "11001111111": 0.0005299417689091457, + "11010000000": 2.0882254555356033e-05, + "11010000001": 8.372252014117734e-07, + "11010000010": 8.030241907083108e-07, + "11010000011": 3.9418683509106134e-08, + "11010000100": 8.021537219196821e-07, + "11010000101": 3.757751027263505e-08, + "11010000110": 3.699673004716735e-08, + "11010000111": 3.517227319318129e-08, + "11010001000": 8.021551165882013e-07, + "11010001001": 3.7644784895978833e-08, + "11010001010": 3.437126303316735e-08, + "11010001011": 3.358619420817204e-08, + "11010001100": 3.696449382742486e-08, + "11010001101": 3.36344930175547e-08, + "11010001110": 3.692988690320362e-08, + "11010001111": 8.291194816352635e-07, + "11010010000": 8.021398764271784e-07, + "11010010001": 3.764478050889429e-08, + "11010010010": 3.442846460426813e-08, + "11010010011": 3.4516411236673186e-08, + "11010010100": 3.4355709147748443e-08, + "11010010101": 3.207337293856028e-08, + "11010010110": 3.524983126558019e-08, + "11010010111": 7.914159716900845e-07, + "11010011000": 3.697881796251122e-08, + "11010011001": 3.456471813428991e-08, + "11010011010": 3.525016416056936e-08, + "11010011011": 7.904356293287318e-07, + "11010011100": 3.696472982411821e-08, + "11010011101": 7.913068921214444e-07, + "11010011110": 8.248592745064395e-07, + "11010011111": 2.053204470358752e-05, + "11010100000": 8.031378348312813e-07, + "11010100001": 3.757624899880687e-08, + "11010100010": 3.4371246672176445e-08, + "11010100011": 3.3585572442627406e-08, + "11010100100": 3.435569853543536e-08, + "11010100101": 3.2073373248406615e-08, + "11010100110": 3.524893043520672e-08, + "11010100111": 7.913955062694967e-07, + "11010101000": 3.431377747473528e-08, + "11010101001": 3.2073678700156564e-08, + "11010101010": 3.270888921756413e-08, + "11010101011": 7.334508528977038e-07, + "11010101100": 3.4355054586884886e-08, + "11010101101": 7.333547233652528e-07, + "11010101110": 7.644414071638808e-07, + "11010101111": 1.9030509738274464e-05, + "11010110000": 3.6936763803480315e-08, + "11010110001": 3.3634828108769434e-08, + "11010110010": 3.524991490787875e-08, + "11010110011": 7.90415154007442e-07, + "11010110100": 3.435570914774844e-08, + "11010110101": 7.333547106426326e-07, + "11010110110": 7.634755062363304e-07, + "11010110111": 1.9009209256689556e-05, + "11010111000": 3.5970047468683595e-08, + "11010111001": 7.913001904417768e-07, + "11010111010": 7.644557513112789e-07, + "11010111011": 1.9009203956352933e-05, + "11010111100": 8.021386056655931e-07, + "11010111101": 1.9029610092093446e-05, + "11010111110": 1.987847839197427e-05, + "11010111111": 0.0004911958566967562, + "11011000000": 8.666050091394199e-07, + "11011000001": 4.04249278173017e-08, + "11011000010": 3.6996150526003983e-08, + "11011000011": 3.519093363892592e-08, + "11011000100": 3.696514004288422e-08, + "11011000101": 3.363450290615421e-08, + "11011000110": 3.698900003928718e-08, + "11011000111": 8.281003017005102e-07, + "11011001000": 3.6979468761481965e-08, + "11011001001": 3.456535241019204e-08, + "11011001010": 3.5250154059405846e-08, + "11011001011": 7.904356293287318e-07, + "11011001100": 3.702326878372482e-08, + "11011001101": 7.903118267213514e-07, + "11011001110": 8.238126621976873e-07, + "11011001111": 2.0508537308230468e-05, + "11011010000": 3.6937424989492836e-08, + "11011010001": 3.363546888674595e-08, + "11011010010": 3.525080578605625e-08, + "11011010011": 7.904356124718363e-07, + "11011010100": 3.435569853543533e-08, + "11011010101": 7.333549439285425e-07, + "11011010110": 7.634755027373701e-07, + "11011010111": 1.9009209268551317e-05, + "11011011000": 3.603010274206594e-08, + "11011011001": 7.903255809429336e-07, + "11011011010": 7.634898641128007e-07, + "11011011011": 1.8987897339131192e-05, + "11011011100": 8.011400611112977e-07, + "11011011101": 1.900831862368313e-05, + "11011011110": 1.9856255939075317e-05, + "11011011111": 0.0004906430306483563, + "11011100000": 3.871288580383749e-08, + "11011100001": 3.5208828314180924e-08, + "11011100010": 3.693090943360216e-08, + "11011100011": 8.281149365822038e-07, + "11011100100": 3.6965140042884185e-08, + "11011100101": 7.913071333175513e-07, + "11011100110": 8.238128926025684e-07, + "11011100111": 2.0508572796015145e-05, + "11011101000": 3.597070173313017e-08, + "11011101001": 7.913209080716891e-07, + "11011101010": 7.64456000644462e-07, + "11011101011": 1.9009203956352933e-05, + "11011101100": 8.01140310266425e-07, + "11011101101": 1.9008318611656764e-05, + "11011101110": 1.9856297625130254e-05, + "11011101111": 0.0004906443159334219, + "11011110000": 3.767524236654761e-08, + "11011110001": 8.290201560706633e-07, + "11011110010": 8.248686890402074e-07, + "11011110011": 2.0508531161653768e-05, + "11011110100": 8.021537219196816e-07, + "11011110101": 1.902961578602526e-05, + "11011110110": 1.9856261246324657e-05, + "11011110111": 0.000490644316548673, + "11011111000": 8.401740388460166e-07, + "11011111001": 2.053091999753699e-05, + "11011111010": 1.9878870595459207e-05, + "11011111011": 0.0004906432000367103, + "11011111100": 2.0858510063414776e-05, + "11011111101": 0.0004911702182083796, + "11011111110": 0.0005130442023330278, + "11011111111": 0.012683286628798342, + "11100000000": 2.187203557225312e-05, + "11100000001": 8.769079313337392e-07, + "11100000010": 8.410858481964833e-07, + "11100000011": 4.128730401974695e-08, + "11100000100": 8.401740388460168e-07, + "11100000101": 3.9358933791671566e-08, + "11100000110": 3.875064103434308e-08, + "11100000111": 3.683925656772678e-08, + "11100001000": 8.401762575737611e-07, + "11100001001": 3.9428540922050454e-08, + "11100001010": 3.600003611138621e-08, + "11100001011": 3.5172273193181305e-08, + "11100001100": 3.871615970926332e-08, + "11100001101": 3.522287120551451e-08, + "11100001110": 3.867403492606148e-08, + "11100001111": 8.68268703318279e-07, + "11100010000": 8.401755889158307e-07, + "11100010001": 3.941516041149972e-08, + "11100010010": 3.604606597261117e-08, + "11100010011": 3.61765869501599e-08, + "11100010100": 3.5970047468683634e-08, + "11100010101": 3.3616220475013257e-08, + "11100010110": 3.694423645522524e-08, + "11100010111": 8.291215800583332e-07, + "11100011000": 3.8716626539714626e-08, + "11100011001": 3.6227640139060565e-08, + "11100011010": 3.6944816271491475e-08, + "11100011011": 8.281003017005106e-07, + "11100011100": 3.8741804101234374e-08, + "11100011101": 8.290130801989942e-07, + "11100011110": 8.641654966184837e-07, + "11100011111": 2.1510792635110934e-05, + "11100100000": 8.401598848747468e-07, + "11100100001": 3.942850880115952e-08, + "11100100010": 3.604604519768529e-08, + "11100100011": 3.617658753717995e-08, + "11100100100": 3.6030102742065976e-08, + "11100100101": 3.454808477652128e-08, + "11100100110": 3.794280814760729e-08, + "11100100111": 8.539100797809363e-07, + "11100101000": 3.598416840325824e-08, + "11100101001": 3.4548651943187974e-08, + "11100101010": 3.520888376493349e-08, + "11100101011": 7.913955062694967e-07, + "11100101100": 3.697905938361982e-08, + "11100101101": 7.912928998848245e-07, + "11100101110": 8.248607151884868e-07, + "11100101111": 2.0532091202741742e-05, + "11100110000": 3.8731762347194036e-08, + "11100110001": 3.622740161373153e-08, + "11100110010": 3.7943153859825186e-08, + "11100110011": 8.528383458489469e-07, + "11100110100": 3.6978817962511154e-08, + "11100110101": 7.912726572190972e-07, + "11100110110": 8.23799306289543e-07, + "11100110111": 2.0508583596239484e-05, + "11100111000": 3.871662653971457e-08, + "11100111001": 8.537926756484602e-07, + "11100111010": 8.248548642605029e-07, + "11100111011": 2.0508572796015145e-05, + "11100111100": 8.655148406668364e-07, + "11100111101": 2.053058871341834e-05, + "11100111110": 2.144639151985059e-05, + "11100111111": 0.0005299428330388971, + "11101000000": 8.412204368677958e-07, + "11101000001": 3.93583402801186e-08, + "11101000010": 3.6000684414083886e-08, + "11101000011": 3.517228185482023e-08, + "11101000100": 3.5970701733130216e-08, + "11101000101": 3.361685139178711e-08, + "11101000110": 3.694421630782971e-08, + "11101000111": 8.291215800583332e-07, + "11101001000": 3.598484308334047e-08, + "11101001001": 3.454927558434425e-08, + "11101001010": 3.52097647033189e-08, + "11101001011": 7.914159716900845e-07, + "11101001100": 3.6979038688896226e-08, + "11101001101": 7.912931302188394e-07, + "11101001110": 8.248607119346978e-07, + "11101001111": 2.0532091217719687e-05, + "11101010000": 3.594107244815638e-08, + "11101010001": 3.3617164389238554e-08, + "11101010010": 3.520951493183989e-08, + "11101010011": 7.913957197761621e-07, + "11101010100": 3.431377747473526e-08, + "11101010101": 7.342467549335835e-07, + "11101010110": 7.644290072820587e-07, + "11101010111": 1.90305527161146e-05, + "11101011000": 3.59841684032582e-08, + "11101011001": 7.912864251233166e-07, + "11101011010": 7.644431408762512e-07, + "11101011011": 1.9009209268551317e-05, + "11101011100": 8.021399970533926e-07, + "11101011101": 1.9029653844986837e-05, + "11101011110": 1.9878523371098865e-05, + "11101011111": 0.0004911969746966024, + "11101100000": 3.8688172633617666e-08, + "11101100001": 3.522386885725525e-08, + "11101100010": 3.6945230222113113e-08, + "11101100011": 8.281005349915669e-07, + "11101100100": 3.6979468761481925e-08, + "11101100101": 7.91293371440409e-07, + "11101100110": 8.237995555767621e-07, + "11101100111": 2.050858359623949e-05, + "11101101000": 3.5984843083340426e-08, + "11101101001": 7.913069124920157e-07, + "11101101010": 7.644433937090674e-07, + "11101101011": 1.9009209256689556e-05, + "11101101100": 8.011269264569204e-07, + "11101101101": 1.9008324074682276e-05, + "11101101110": 1.9856301696565595e-05, + "11101101111": 0.0004906441471053527, + "11101110000": 3.767571154314976e-08, + "11101110001": 8.290217482367883e-07, + "11101110010": 8.248701265425695e-07, + "11101110011": 2.0508578278752023e-05, + "11101110100": 8.021551165882009e-07, + "11101110101": 1.902965952705946e-05, + "11101110110": 1.985630701891468e-05, + "11101110111": 0.0004906454289223249, + "11101111000": 8.40176257573761e-07, + "11101111001": 2.053096641816823e-05, + "11101111010": 1.9878915563065878e-05, + "11101111011": 0.000490644316548673, + "11101111100": 2.0858557307469927e-05, + "11101111101": 0.0004911713358518504, + "11101111110": 0.0005130453697204116, + "11101111111": 0.012683315484131666, + "11110000000": 8.810976223857194e-07, + "11110000001": 4.12240884865971e-08, + "11110000010": 3.770735529030793e-08, + "11110000011": 3.683941543403878e-08, + "11110000100": 3.7675242366547614e-08, + "11110000101": 3.5204520218425566e-08, + "11110000110": 3.868919108456341e-08, + "11110000111": 8.68268703318279e-07, + "11110001000": 3.767571154314978e-08, + "11110001001": 3.621115653164377e-08, + "11110001010": 3.69022051050788e-08, + "11110001011": 8.291194816352635e-07, + "11110001100": 3.8756938097251235e-08, + "11110001101": 8.289965817857579e-07, + "11110001110": 8.641648182993347e-07, + "11110001111": 2.1510792800156933e-05, + "11110010000": 3.769064607882994e-08, + "11110010001": 3.62109171286786e-08, + "11110010010": 3.790251995277138e-08, + "11110010011": 8.539081523511628e-07, + "11110010100": 3.693676380348026e-08, + "11110010101": 7.922521618693373e-07, + "11110010110": 8.248454483680986e-07, + "11110010111": 2.0532091217719687e-05, + "11110011000": 3.8731762347194003e-08, + "11110011001": 8.537761444293608e-07, + "11110011010": 8.248396196187031e-07, + "11110011011": 2.0508537308230468e-05, + "11110011100": 8.655141601258977e-07, + "11110011101": 2.0530589542216963e-05, + "11110011110": 2.144639161681644e-05, + "11110011111": 0.0005299428371540463, + "11110100000": 3.7645518226285286e-08, + "11110100001": 3.520549902193525e-08, + "11110100010": 3.6902628716781776e-08, + "11110100011": 8.291197150895923e-07, + "11110100100": 3.6937424989492796e-08, + "11110100101": 7.922726525720544e-07, + "11110100110": 8.248457010609194e-07, + "11110100111": 2.0532091202741742e-05, + "11110101000": 3.594107244815636e-08, + "11110101001": 7.922659610519618e-07, + "11110101010": 7.653946024126964e-07, + "11110101011": 1.9030509738274464e-05, + "11110101100": 8.021250061011675e-07, + "11110101101": 1.9029616162370312e-05, + "11110101110": 1.987852427547542e-05, + "11110101111": 0.0004911969781716499, + "11110110000": 3.769064607882993e-08, + "11110110001": 8.290052499240253e-07, + "11110110010": 8.248548852475094e-07, + "11110110011": 2.0508542775995963e-05, + "11110110100": 8.02139876427178e-07, + "11110110101": 1.902962185647016e-05, + "11110110110": 1.9856266237556304e-05, + "11110110111": 0.0004906441471053527, + "11110111000": 8.401755889158303e-07, + "11110111001": 2.0530967232042762e-05, + "11110111010": 1.987891648259295e-05, + "11110111011": 0.0004906443159334219, + "11110111100": 2.0858557385668046e-05, + "11110111101": 0.0004911713393811732, + "11110111110": 0.0005130453733373086, + "11110111111": 0.012683315573273526, + "11111000000": 3.9430091222433885e-08, + "11111000001": 3.687420829433744e-08, + "11111000010": 3.864561617760588e-08, + "11111000011": 8.682667425276178e-07, + "11111000100": 3.8712885803837454e-08, + "11111000101": 8.300169877179428e-07, + "11111000110": 8.641491069722608e-07, + "11111000111": 2.1510792635110934e-05, + "11111001000": 3.86881726336176e-08, + "11111001001": 8.548470111448397e-07, + "11111001010": 8.258856964367569e-07, + "11111001011": 2.053204470358752e-05, + "11111001100": 8.654984560598658e-07, + "11111001101": 2.0530553829622762e-05, + "11111001110": 2.1446392413590416e-05, + "11111001111": 0.0005299428371540463, + "11111010000": 3.7645518226285266e-08, + "11111010001": 8.300254223433907e-07, + "11111010010": 8.259007118615794e-07, + "11111010011": 2.0532050190263715e-05, + "11111010100": 8.031378348312809e-07, + "11111010101": 1.9050945265924205e-05, + "11111010110": 1.9878488476616752e-05, + "11111010111": 0.0004911969746966024, + "11111011000": 8.401598848747466e-07, + "11111011001": 2.053093153102216e-05, + "11111011010": 1.9878875353988633e-05, + "11111011011": 0.0004906430306483563, + "11111011100": 2.0858558190233143e-05, + "11111011101": 0.0004911713352919298, + "11111011110": 0.0005130453733807388, + "11111011111": 0.012683315572781729, + "11111100000": 3.943009122243384e-08, + "11111100001": 8.692150788983189e-07, + "11111100010": 8.652482818899316e-07, + "11111100011": 2.151074994102138e-05, + "11111100100": 8.666050091394201e-07, + "11111100101": 2.0554092924014945e-05, + "11111100110": 2.1446359328507505e-05, + "11111100111": 0.0005299428330388971, + "11111101000": 8.412204368677956e-07, + "11111101001": 2.0554464982138337e-05, + "11111101010": 1.9901131204258922e-05, + "11111101011": 0.0004911958566967562, + "11111101100": 2.0858520641755497e-05, + "11111101101": 0.0004911700483454238, + "11111101110": 0.0005130453686723348, + "11111101111": 0.012683315573273526, + "11111110000": 8.810976223857194e-07, + "11111110001": 2.1534077409104247e-05, + "11111110010": 2.1471174806348712e-05, + "11111110011": 0.0005299417689091457, + "11111110100": 2.0882254555356016e-05, + "11111110101": 0.000491723615428867, + "11111110110": 0.0005130441643552195, + "11111110111": 0.012683315484131666, + "11111111000": 2.187203557225313e-05, + "11111111001": 0.000530520604508232, + "11111111010": 0.0005136322299743658, + "11111111011": 0.012683286628798342, + "11111111100": 0.0005389446322906435, + "11111111101": 0.012696909800310961, + "11111111110": 0.013262385583143394, + "11111111111": 0.32785967111546727 }, "Exact TFIM - Qubits12": { - "000000000000": 0.4909207019188597, - "000000000001": 0.000775813978967199, - "000000000010": 0.0007450985275679204, - "000000000011": 1.231551344934405e-06, - "000000000100": 0.0007450681855680729, - "000000000101": 1.177500707951364e-06, - "000000000110": 1.2150512189292715e-06, - "000000000111": 1.9514891883730447e-09, - "000000001000": 0.0007450681879848305, - "000000001001": 1.1774494563827134e-06, - "000000001010": 1.1308811809635266e-06, - "000000001011": 1.8692013328106522e-09, - "000000001100": 1.2150009477853206e-06, - "000000001101": 1.9201805060964705e-09, - "000000001110": 1.9258036418981183e-09, - "000000001111": 3.0923165677445253e-12, - "000000010000": 0.0007450681879851443, - "000000010001": 1.177449460303098e-06, - "000000010010": 1.1308327507298777e-06, - "000000010011": 1.8691200374747032e-09, - "000000010100": 1.1308351285752823e-06, - "000000010101": 1.787164159530007e-09, - "000000010110": 1.8441585803532422e-09, - "000000010111": 2.9619081791305074e-12, - "000000011000": 1.2150009512462439e-06, - "000000011001": 1.9200956707405247e-09, - "000000011010": 1.844157378809953e-09, - "000000011011": 3.0481674258202304e-12, - "000000011100": 1.925724487035994e-09, - "000000011101": 3.043416086238839e-12, - "000000011110": 3.0510891072691586e-12, - "000000011111": 4.885057071875953e-15, - "000000100000": 0.0007450681879851443, - "000000100001": 1.1774494603035878e-06, - "000000100010": 1.1308327549431768e-06, - "000000100011": 1.8691200436769184e-09, - "000000100100": 1.1307867008105113e-06, - "000000100101": 1.7870876236961753e-09, - "000000100110": 1.8440778676661344e-09, - "000000100111": 2.9617795427133713e-12, - "000000101000": 1.1308351322433816e-06, - "000000101001": 1.7870863709962551e-09, - "000000101010": 1.7164068776878271e-09, - "000000101011": 2.8370124018649514e-12, - "000000101100": 1.8440822806862846e-09, - "000000101101": 2.9143894997050275e-12, - "000000101110": 2.9229244444760273e-12, - "000000101111": 4.679042517088336e-15, - "000000110000": 1.2150009512468046e-06, - "000000110001": 1.9200956763618092e-09, - "000000110010": 1.8440766653758322e-09, - "000000110011": 3.0480330447733996e-12, - "000000110100": 1.8440822799575538e-09, - "000000110101": 2.9143875904322404e-12, - "000000110110": 3.0073303741053627e-12, - "000000110111": 4.815491620486531e-15, - "000000111000": 1.925724492486573e-09, - "000000111001": 3.0432826359567082e-12, - "000000111010": 2.9229233334989154e-12, - "000000111011": 4.816648595943474e-15, - "000000111100": 3.0509637319280778e-12, - "000000111101": 4.8071711580271024e-15, - "000000111110": 4.81942818804845e-15, - "000000111111": 3.1058071218973843e-17, - "000001000000": 0.0007450681879851443, - "000001000001": 1.1774494603035878e-06, - "000001000010": 1.130832754943599e-06, - "000001000011": 1.869120043678475e-09, - "000001000100": 1.1307867050235994e-06, - "000001000101": 1.787087630342129e-09, - "000001000110": 1.8440778738212005e-09, - "000001000111": 2.9617795624107773e-12, - "000001001000": 1.130786704478414e-06, - "000001001001": 1.787009839279908e-09, - "000001001010": 1.7163333720469706e-09, - "000001001011": 2.8368910776825228e-12, - "000001001100": 1.8440015713615503e-09, - "000001001101": 2.914262120747981e-12, - "000001001110": 2.922797498803204e-12, - "000001001111": 4.678634966505021e-15, - "000001010000": 1.1308351322438576e-06, - "000001010001": 1.7870863769340775e-09, - "000001010010": 1.7163333712931674e-09, - "000001010011": 2.8368891849356973e-12, - "000001010100": 1.7163369811776493e-09, - "000001010101": 2.7124990854454408e-12, - "000001010110": 2.799004254317605e-12, - "000001010111": 4.4817161453514214e-15, - "000001011000": 1.8440822859390134e-09, - "000001011001": 2.914260913393707e-12, - "000001011010": 2.7990050667392964e-12, - "000001011011": 4.612439489552288e-15, - "000001011100": 2.922804318611117e-12, - "000001011101": 4.6052413206376824e-15, - "000001011110": 4.616192681838641e-15, - "000001011111": 2.9748278121471356e-17, - "000001100000": 1.2150009512468042e-06, - "000001100001": 1.9200956763634756e-09, - "000001100010": 1.8440766715309578e-09, - "000001100011": 3.0480330636866876e-12, - "000001100100": 1.844001570632913e-09, - "000001100101": 2.914260210292007e-12, - "000001100110": 3.0071969762232364e-12, - "000001100111": 4.815071980757049e-15, - "000001101000": 1.8440822859390889e-09, - "000001101001": 2.9142609122438295e-12, - "000001101010": 2.7990024306482633e-12, - "000001101011": 4.612436475434022e-15, - "000001101100": 3.007205962816638e-12, - "000001101101": 4.7384233624062675e-15, - "000001101110": 4.751639795654154e-15, - "000001101111": 3.0179155048919116e-17, - "000001110000": 1.92572449248746e-09, - "000001110001": 3.043282654816542e-12, - "000001110010": 2.9227963865710935e-12, - "000001110011": 4.816230261549686e-15, - "000001110100": 2.92280431740344e-12, - "000001110101": 4.6052395599709636e-15, - "000001110110": 4.751641087411267e-15, - "000001110111": 3.018271216457102e-17, - "000001111000": 3.050963740631262e-12, - "000001111001": 4.806753283064599e-15, - "000001111010": 4.61619094788823e-15, - "000001111011": 3.018016552518203e-17, - "000001111100": 4.819215987235578e-15, - "000001111101": 3.015350521792835e-17, - "000001111110": 3.067262558665337e-17, - "000001111111": 4.8850570718759604e-15, - "000010000000": 0.0007450681879851443, - "000010000001": 1.1774494603035878e-06, - "000010000010": 1.130832754943599e-06, - "000010000011": 1.8691200436785624e-09, - "000010000100": 1.130786705024023e-06, - "000010000101": 1.7870876303435429e-09, - "000010000110": 1.8440778738228807e-09, - "000010000111": 2.961779561380018e-12, - "000010001000": 1.1307867086915021e-06, - "000010001001": 1.7870098459253221e-09, - "000010001010": 1.716333378430952e-09, - "000010001011": 2.836891097684078e-12, - "000010001100": 1.8440015775163592e-09, - "000010001101": 2.9142621400424836e-12, - "000010001110": 2.9227975164586406e-12, - "000010001111": 4.678628966327269e-15, - "000010010000": 1.13078670447889e-06, - "000010010001": 1.7870098452172268e-09, - "000010010010": 1.7162598695419095e-09, - "000010010011": 2.836767869656098e-12, - "000010010100": 1.7162634785299925e-09, - "000010010101": 2.7123830862236825e-12, - "000010010110": 2.7988845702100125e-12, - "000010010111": 4.481328762871298e-15, - "000010011000": 1.8440015766140537e-09, - "000010011001": 2.9141335425135448e-12, - "000010011010": 2.7988827477054574e-12, - "000010011011": 4.61203928432456e-15, - "000010011100": 2.922677378330238e-12, - "000010011101": 4.604842893737098e-15, - "000010011110": 4.61578224707169e-15, - "000010011111": 3.017915504891913e-17, - "000010100000": 1.1308351322438576e-06, - "000010100001": 1.787086376935567e-09, - "000010100010": 1.7163333776772084e-09, - "000010100011": 2.8368892038022686e-12, - "000010100100": 1.716263478530052e-09, - "000010100101": 2.7123830850294053e-12, - "000010100110": 2.7988819340884565e-12, - "000010100111": 4.481325778351923e-15, - "000010101000": 1.7163369867448291e-09, - "000010101001": 2.7123811849122738e-12, - "000010101010": 2.6051070227789687e-12, - "000010101011": 4.292734092713005e-15, - "000010101100": 2.798888461508639e-12, - "000010101101": 4.409992179718722e-15, - "000010101110": 4.422282218003798e-15, - "000010101111": 2.849370302128338e-17, - "000010110000": 1.844082285939869e-09, - "000010110001": 2.9142609314948322e-12, - "000010110010": 2.7988827464567265e-12, - "000010110011": 4.612037538587859e-15, - "000010110100": 2.7988910963668012e-12, - "000010110101": 4.409993445808212e-15, - "000010110110": 4.550190052261046e-15, - "000010110111": 2.8906441681794194e-17, - "000010111000": 2.9228043269414887e-12, - "000010111001": 4.6048409880098506e-15, - "000010111010": 4.4222835024357626e-15, - "000010111011": 2.890992160687056e-17, - "000010111100": 4.615989437737021e-15, - "000010111101": 2.888189523374288e-17, - "000010111110": 2.937907126433327e-17, - "000010111111": 4.679042517088336e-15, - "000011000000": 1.2150009512468046e-06, - "000011000001": 1.9200956763635645e-09, - "000011000010": 1.8440766715326374e-09, - "000011000011": 3.0480330626406094e-12, - "000011000100": 1.8440015767877223e-09, - "000011000101": 2.914260229586696e-12, - "000011000110": 3.0071969931151607e-12, - "000011000111": 4.815065903282418e-15, - "000011001000": 1.8440015766141281e-09, - "000011001001": 2.914133541363939e-12, - "000011001010": 2.7988801105341555e-12, - "000011001011": 4.612036266457396e-15, - "000011001100": 3.0070725706676568e-12, - "000011001101": 4.738011784859626e-15, - "000011001110": 4.7512172525680645e-15, - "000011001111": 3.06131014534902e-17, - "000011010000": 1.844082285939869e-09, - "000011010001": 2.914260931495071e-12, - "000011010010": 2.798882745389622e-12, - "000011010011": 4.612037534942399e-15, - "000011010100": 2.7988884604025926e-12, - "000011010101": 4.409989290770001e-15, - "000011010110": 4.550187068536804e-15, - "000011010111": 2.890642261147749e-17, - "000011011000": 3.007205971440434e-12, - "000011011001": 4.738012919543109e-15, - "000011011010": 4.550187079619188e-15, - "000011011011": 2.932823213860408e-17, - "000011011100": 4.751430759873392e-15, - "000011011101": 2.930564309134885e-17, - "000011011110": 2.980185807469449e-17, - "000011011111": 4.678634966505023e-15, - "000011100000": 1.92572449248746e-09, - "000011100001": 3.0432826537719753e-12, - "000011100010": 2.9227964042265896e-12, - "000011100011": 4.816224166624745e-15, - "000011100100": 2.9226773771227013e-12, - "000011100101": 4.6048411291823755e-15, - "000011100110": 4.751218544178917e-15, - "000011100111": 3.0616674400899086e-17, - "000011101000": 2.922804326941599e-12, - "000011101001": 4.604840984282882e-15, - "000011101010": 4.422280530981918e-15, - "000011101011": 2.89099064906916e-17, - "000011101100": 4.751430759787594e-15, - "000011101101": 2.9305647132175826e-17, - "000011101110": 2.9810082457090473e-17, - "000011101111": 4.6786289663272706e-15, - "000011110000": 3.050963740627345e-12, - "000011110001": 4.806747196812249e-15, - "000011110010": 4.6157805110989165e-15, - "000011110011": 3.061410971156547e-17, - "000011110100": 4.615989435828585e-15, - "000011110101": 2.888188020351275e-17, - "000011110110": 2.980186218386263e-17, - "000011110111": 4.6786301723689e-15, - "000011111000": 4.819216011352322e-15, - "000011111001": 3.058727826815101e-17, - "000011111010": 2.937906294787449e-17, - "000011111011": 4.678630227113024e-15, - "000011111100": 3.069944183455474e-17, - "000011111101": 4.678834346738303e-15, - "000011111110": 4.872665181349789e-15, - "000011111111": 3.092316567744524e-12, - "000100000000": 0.0007450681879848305, - "000100000001": 1.1774494603030923e-06, - "000100000010": 1.1308327549431232e-06, - "000100000011": 1.869120043677767e-09, - "000100000100": 1.1307867050235456e-06, - "000100000101": 1.7870876303428704e-09, - "000100000110": 1.8440778738221788e-09, - "000100000111": 2.9617795613143445e-12, - "000100001000": 1.1307867086914481e-06, - "000100001001": 1.7870098459259878e-09, - "000100001010": 1.7163333784317224e-09, - "000100001011": 2.8368910967001656e-12, - "000100001100": 1.8440015775172584e-09, - "000100001101": 2.9142621390447854e-12, - "000100001110": 2.9227975153401434e-12, - "000100001111": 4.678630172368898e-15, - "000100010000": 1.1307867086915021e-06, - "000100010001": 1.7870098518618934e-09, - "000100010010": 1.7162598759246572e-09, - "000100010011": 2.8367678898074403e-12, - "000100010100": 1.7162634849129762e-09, - "000100010101": 2.712383105358315e-12, - "000100010110": 2.79888458823324e-12, - "000100010111": 4.4813230142048884e-15, - "000100011000": 1.8440015827680826e-09, - "000100011001": 2.914133561959941e-12, - "000100011010": 2.798882764661333e-12, - "000100011011": 4.6120334619822034e-15, - "000100011100": 2.9226773959951517e-12, - "000100011101": 4.604837060572164e-15, - "000100011110": 4.615778363030088e-15, - "000100011111": 3.018271216457102e-17, - "000100100000": 1.130786704478414e-06, - "000100100001": 1.7870098452179688e-09, - "000100100010": 1.7162598759247174e-09, - "000100100011": 2.836767888672539e-12, - "000100100100": 1.7161899797710651e-09, - "000100100101": 2.712267094228924e-12, - "000100100110": 2.7987622590399364e-12, - "000100100111": 4.4809356508897245e-15, - "000100101000": 1.7162634840962057e-09, - "000100101001": 2.7122651930195195e-12, - "000100101010": 2.6049956320625947e-12, - "000100101011": 4.29236303980958e-15, - "000100101100": 2.798768782531247e-12, - "000100101101": 4.409613507834008e-15, - "000100101110": 4.421891969285685e-15, - "000100101111": 2.8906441681794194e-17, - "000100110000": 1.8440015766141281e-09, - "000100110001": 2.9141335607666437e-12, - "000100110010": 2.7987604354014976e-12, - "000100110011": 4.611634544534534e-15, - "000100110100": 2.798768782492309e-12, - "000100110101": 4.4096106225969815e-15, - "000100110110": 4.549787087306128e-15, - "000100110111": 2.932211268242822e-17, - "000100111000": 2.9226773866652244e-12, - "000100111001": 4.60443977513893e-15, - "000100111010": 4.421890286001189e-15, - "000100111011": 2.9325608469765147e-17, - "000100111100": 4.615578820265514e-15, - "000100111101": 2.9297391219644285e-17, - "000100111110": 2.9807417413847435e-17, - "000100111111": 4.815491620486529e-15, - "000101000000": 1.1308351322433816e-06, - "000101000001": 1.7870863769348945e-09, - "000101000010": 1.7163333776779787e-09, - "000101000011": 2.8368892028185933e-12, - "000101000100": 1.7162634849130355e-09, - "000101000101": 2.7123831041642287e-12, - "000101000110": 2.7988819510445266e-12, - "000101000111": 4.481320026120128e-15, - "000101001000": 1.7162634840962057e-09, - "000101001001": 2.7122651930197097e-12, - "000101001010": 2.6049956309355837e-12, - "000101001011": 4.292363036023502e-15, - "000101001100": 2.7987661465538775e-12, - "000101001101": 4.409609352726584e-15, - "000101001110": 4.421888997810897e-15, - "000101001111": 2.890642261147749e-17, - "000101010000": 1.7163369867448291e-09, - "000101010001": 2.712381202972097e-12, - "000101010010": 2.6049956309185058e-12, - "000101010011": 4.292360175769685e-15, - "000101010100": 2.6050009477650723e-12, - "000101010101": 4.1043189840842695e-15, - "000101010110": 4.234791790843221e-15, - "000101010111": 2.729205564232198e-17, - "000101011000": 2.7988884695397157e-12, - "000101011001": 4.4096075206091504e-15, - "000101011010": 4.2347930142305204e-15, - "000101011011": 2.7687461367031245e-17, - "000101011100": 4.422087481828323e-15, - "000101011101": 2.7666283618443632e-17, - "000101011110": 2.8140123561608826e-17, - "000101011111": 4.4817161453514214e-15, - "000101100000": 1.8440822859390889e-09, - "000101100001": 2.9142609304972447e-12, - "000101100010": 2.798882763412688e-12, - "000101100011": 4.6120317125407725e-15, - "000101100100": 2.798768782492393e-12, - "000101100101": 4.409610618699848e-15, - "000101100110": 4.5497841034706744e-15, - "000101100111": 2.932209755550425e-17, - "000101101000": 2.7988911055040326e-12, - "000101101001": 4.409611671792126e-15, - "000101101010": 4.234793014200934e-15, - "000101101011": 2.7687465380366508e-17, - "000101101100": 4.549988634419347e-15, - "000101101101": 2.806643666481188e-17, - "000101101110": 2.8547519506209404e-17, - "000101101111": 4.481328762871301e-15, - "000101110000": 2.9228043269415974e-12, - "000101110001": 4.604835152992665e-15, - "000101110010": 4.4218902840237275e-15, - "000101110011": 2.9325593362515177e-17, - "000101110100": 4.422090451295475e-15, - "000101110101": 2.766628764572146e-17, - "000101110110": 2.854751955710451e-17, - "000101110111": 4.48132301420489e-15, - "000101111000": 4.615989455718276e-15, - "000101111001": 2.9297385157918526e-17, - "000101111010": 2.81401343350271e-17, - "000101111011": 4.4813241833348764e-15, - "000101111100": 2.9404766425303036e-17, - "000101111101": 4.481519745881083e-15, - "000101111110": 4.667176388843254e-15, - "000101111111": 2.9619081791305066e-12, - "000110000000": 1.2150009512462439e-06, - "000110000001": 1.9200956763626703e-09, - "000110000010": 1.8440766715318605e-09, - "000110000011": 3.048033062573908e-12, - "000110000100": 1.8440015767885476e-09, - "000110000101": 2.91426022858887e-12, - "000110000110": 3.0071969919794587e-12, - "000110000111": 4.815067127113031e-15, - "000110001000": 1.8440015827680826e-09, - "000110001001": 2.914133560810207e-12, - "000110001010": 2.798880127490092e-12, - "000110001011": 4.612030444057728e-15, - "000110001100": 3.007072587569077e-12, - "000110001101": 4.738005893703229e-15, - "000110001110": 4.751213321988405e-15, - "000110001111": 3.0616674400899086e-17, - "000110010000": 1.8440015766140537e-09, - "000110010001": 2.9141335607667556e-12, - "000110010010": 2.798760434334537e-12, - "000110010011": 4.611634540802989e-15, - "000110010100": 2.7987661454477775e-12, - "000110010101": 4.40960646408659e-15, - "000110010110": 4.5497840997935476e-15, - "000110010111": 2.932209755550425e-17, - "000110011000": 3.0070725792959826e-12, - "000110011001": 4.737598514456486e-15, - "000110011010": 4.549781131001806e-15, - "000110011011": 2.974688637718596e-17, - "000110011100": 4.751008031652106e-15, - "000110011101": 2.972413743761296e-17, - "000110011110": 3.023322232356997e-17, - "000110011111": 4.815071980757049e-15, - "000110100000": 1.8440822859390134e-09, - "000110100001": 2.9142609304971175e-12, - "000110100010": 2.7988827634128005e-12, - "000110100011": 4.6120317124557956e-15, - "000110100100": 2.798768781425232e-12, - "000110100101": 4.409610615269111e-15, - "000110100110": 4.5497840997362944e-15, - "000110100111": 2.932210159449585e-17, - "000110101000": 2.798888469539715e-12, - "000110101001": 4.409607517119871e-15, - "000110101010": 4.234789024082524e-15, - "000110101011": 2.768744310205007e-17, - "000110101100": 4.549985650813648e-15, - "000110101101": 2.8066418119322984e-17, - "000110101110": 2.85475007461531e-17, - "000110101111": 4.481325778351925e-15, - "000110110000": 3.007205971440434e-12, - "000110110001": 4.738007030173444e-15, - "000110110010": 4.549784112743573e-15, - "000110110011": 2.9746890524841765e-17, - "000110110100": 4.5499886326089924e-15, - "000110110101": 2.806641813476064e-17, - "000110110110": 2.8955762084443185e-17, - "000110110111": 4.480935650889726e-15, - "000110111000": 4.75143077851628e-15, - "000110111001": 2.9724150650800285e-17, - "000110111010": 2.854750750186144e-17, - "000110111011": 4.480929821266473e-15, - "000110111100": 2.982772461508014e-17, - "000110111101": 4.4811266863210345e-15, - "000110111110": 4.6667818533708896e-15, - "000110111111": 2.9617795427133705e-12, - "000111000000": 1.925724492486573e-09, - "000111000001": 3.04328265370526e-12, - "000111000010": 2.9227964031079817e-12, - "000111000011": 4.816225390032441e-15, - "000111000100": 2.9226773947875043e-12, - "000111000101": 4.6048352959597386e-15, - "000111000110": 4.75121461359923e-15, - "000111000111": 3.0620265608358265e-17, - "000111001000": 2.9226773866652244e-12, - "000111001001": 4.604439771325806e-15, - "000111001010": 4.421887310818006e-15, - "000111001011": 2.932559732528703e-17, - "000111001100": 4.751008031566311e-15, - "000111001101": 2.972414150703148e-17, - "000111001110": 3.0241511831329694e-17, - "000111001111": 4.815065903282418e-15, - "000111010000": 2.9228043269414887e-12, - "000111010001": 4.604835152907609e-15, - "000111010010": 4.4218902803442444e-15, - "000111010011": 2.932559740069455e-17, - "000111010100": 4.422087479988826e-15, - "000111010101": 2.7666269138789002e-17, - "000111010110": 2.8547504577866425e-17, - "000111010111": 4.481320026120131e-15, - "000111011000": 4.75143077851628e-15, - "000111011001": 2.9724150650249364e-17, - "000111011010": 2.854751128267925e-17, - "000111011011": 4.480929817672327e-15, - "000111011100": 2.9835954391535673e-17, - "000111011101": 4.481119687505984e-15, - "000111011110": 4.6667738762760425e-15, - "000111011111": 2.9617795624107765e-12, - "000111100000": 3.050963740631262e-12, - "000111100001": 4.806748419159179e-15, - "000111100010": 4.615776627087016e-15, - "000111100011": 3.061770069243269e-17, - "000111100100": 4.615578818357481e-15, - "000111100101": 2.9297380159923454e-17, - "000111100110": 3.023322646204253e-17, - "000111100111": 4.8150671271130295e-15, - "000111101000": 4.615989455718276e-15, - "000111101001": 2.929738919448753e-17, - "000111101010": 2.814011562045564e-17, - "000111101011": 4.481321195166324e-15, - "000111101100": 2.982772461481598e-17, - "000111101101": 4.4811266826425634e-15, - "000111101110": 4.666773876172123e-15, - "000111101111": 2.9617795613800173e-12, - "000111110000": 4.819216011352322e-15, - "000111110001": 3.0590862288911145e-17, - "000111110010": 2.98074090546203e-17, - "000111110011": 4.8150671840510004e-15, - "000111110100": 2.940476643702189e-17, - "000111110101": 4.48151675958281e-15, - "000111110110": 4.666781851574589e-15, - "000111110111": 2.9617795613143437e-12, - "000111111000": 3.069932571219715e-17, - "000111111001": 4.815280207854099e-15, - "000111111010": 4.667176564816674e-15, - "000111111011": 2.9617795516219005e-12, - "000111111100": 4.881426688079044e-15, - "000111111101": 2.961900154064622e-12, - "000111111110": 3.0839981657634136e-12, - "000111111111": 1.951489188373043e-09, - "001000000000": 0.0007450681855680729, - "001000000001": 1.1774494564838316e-06, - "001000000010": 1.1308327512750716e-06, - "001000000011": 1.869120037615104e-09, - "001000000100": 1.1307867013556441e-06, - "001000000101": 1.7870876245462852e-09, - "001000000110": 1.84407786784071e-09, - "001000000111": 2.9617795516219013e-12, - "001000001000": 1.1307867050235456e-06, - "001000001001": 1.7870098401297471e-09, - "001000001010": 1.7163333728646887e-09, - "001000001011": 2.836891087343698e-12, - "001000001100": 1.8440015715361211e-09, - "001000001101": 2.9142621294355345e-12, - "001000001110": 2.9227975057437695e-12, - "001000001111": 4.678630227113022e-15, - "001000010000": 1.130786705024023e-06, - "001000010001": 1.7870098460669898e-09, - "001000010010": 1.7162598703592973e-09, - "001000010011": 2.836767879515298e-12, - "001000010100": 1.716263479347593e-09, - "001000010101": 2.7123830955309168e-12, - "001000010110": 2.7988845780232128e-12, - "001000010111": 4.481324183334875e-15, - "001000011000": 1.8440015767885476e-09, - "001000011001": 2.9141335514018303e-12, - "001000011010": 2.7988827544515487e-12, - "001000011011": 4.61203464792418e-15, - "001000011100": 2.9226773853332633e-12, - "001000011101": 4.604838245361984e-15, - "001000011110": 4.615779597978165e-15, - "001000011111": 3.0180165525182045e-17, - "001000100000": 1.1307867050235994e-06, - "001000100001": 1.7870098460670655e-09, - "001000100010": 1.7162598767413337e-09, - "001000100011": 2.8367678995165996e-12, - "001000100100": 1.7161899805876282e-09, - "001000100101": 2.712267104616558e-12, - "001000100110": 2.7987622680450684e-12, - "001000100111": 4.480929821266473e-15, - "001000101000": 1.7162634849130355e-09, - "001000101001": 2.7122652034073413e-12, - "001000101010": 2.604995640444444e-12, - "001000101011": 4.2923575470756846e-15, - "001000101100": 2.7987687914221596e-12, - "001000101101": 4.409607953292024e-15, - "001000101110": 4.4218882333546224e-15, - "001000101111": 2.890992160687056e-17, - "001000110000": 1.8440015767877223e-09, - "001000110001": 2.9141335706535894e-12, - "001000110010": 2.7987604433395517e-12, - "001000110011": 4.611628639718545e-15, - "001000110100": 2.7987687903159485e-12, - "001000110101": 4.409605064708927e-15, - "001000110110": 4.549783323343103e-15, - "001000110111": 2.9325608469765147e-17, - "001000111000": 2.9226773947875043e-12, - "001000111001": 4.604433859644053e-15, - "001000111010": 4.421886546480489e-15, - "001000111011": 2.932912121631477e-17, - "001000111100": 4.6155749139228555e-15, - "001000111101": 2.9300901445733075e-17, - "001000111110": 2.980889520416031e-17, - "001000111111": 4.816648595943474e-15, - "001001000000": 1.1307867008105113e-06, - "001001000001": 1.787009839421728e-09, - "001001000010": 1.7162598703593573e-09, - "001001000011": 2.836767878380633e-12, - "001001000100": 1.7161899805876282e-09, - "001001000101": 2.7122671046167475e-12, - "001001000110": 2.798762266977997e-12, - "001001000111": 4.480929817672327e-15, - "001001001000": 1.7161899797710651e-09, - "001001001001": 2.7121492006875432e-12, - "001001001010": 2.6048842400428575e-12, - "001001001011": 4.291989372452127e-15, - "001001001100": 2.798646467495451e-12, - "001001001101": 4.409228033847261e-15, - "001001001110": 4.421495889872299e-15, - "001001001111": 2.932823213860408e-17, - "001001010000": 1.716263478530052e-09, - "001001010001": 2.712265202332607e-12, - "001001010010": 2.604884238898652e-12, - "001001010011": 4.291986508746303e-15, - "001001010100": 2.6048895532437237e-12, - "001001010101": 4.103964061531432e-15, - "001001010110": 4.234418006060076e-15, - "001001010111": 2.7687461367031226e-17, - "001001011000": 2.7987687814252323e-12, - "001001011001": 4.409226197917908e-15, - "001001011010": 4.234419229193165e-15, - "001001011011": 2.8085703651889524e-17, - "001001011100": 4.421697043950635e-15, - "001001011101": 2.80643707113404e-17, - "001001011110": 2.8550536946466174e-17, - "001001011111": 4.612439489552288e-15, - "001001100000": 1.844001570632913e-09, - "001001100001": 2.9141335502086457e-12, - "001001100010": 2.798760443339636e-12, - "001001100011": 4.611628635985356e-15, - "001001100100": 2.7986464674563988e-12, - "001001100101": 4.40922514507899e-15, - "001001100110": 4.54937823302742e-15, - "001001100111": 2.974688637718597e-17, - "001001101000": 2.798768782492393e-12, - "001001101001": 4.40922619785937e-15, - "001001101010": 4.234415242849545e-15, - "001001101011": 2.808568125380353e-17, - "001001101100": 4.549585477243643e-15, - "001001101101": 2.846736077209575e-17, - "001001101110": 2.896083449008408e-17, - "001001101111": 4.61203928432456e-15, - "001001110000": 2.9226773771227013e-12, - "001001110001": 4.6044338577653715e-15, - "001001110010": 4.42149420470285e-15, - "001001110011": 2.975039782103466e-17, - "001001110100": 4.421697045792235e-15, - "001001110101": 2.8064352128412604e-17, - "001001110110": 2.8960838349817294e-17, - "001001110111": 4.6120334619822034e-15, - "001001111000": 4.615578818357481e-15, - "001001111001": 2.9721996323987274e-17, - "001001111010": 2.855052491962193e-17, - "001001111011": 4.61203464792418e-15, - "001001111100": 2.9833798854030165e-17, - "001001111101": 4.612235724495172e-15, - "001001111110": 4.803292578834666e-15, - "001001111111": 3.0481674258202304e-12, - "001010000000": 1.1308351285752823e-06, - "001010000001": 1.7870863711382512e-09, - "001010000010": 1.7163333721108852e-09, - "001010000011": 2.8368891934620254e-12, - "001010000100": 1.716263479347593e-09, - "001010000101": 2.712383094336727e-12, - "001010000110": 2.798881940834638e-12, - "001010000111": 4.481321195166322e-15, - "001010001000": 1.7162634849129762e-09, - "001010001001": 2.7122652034074277e-12, - "001010001010": 2.6049956393175204e-12, - "001010001011": 4.292357543231712e-15, - "001010001100": 2.798766154377604e-12, - "001010001101": 4.40960379478065e-15, - "001010001110": 4.421885258228032e-15, - "001010001111": 2.89099064906916e-17, - "001010010000": 1.7162634785299925e-09, - "001010010001": 2.712265202332504e-12, - "001010010010": 2.6048842388987407e-12, - "001010010011": 4.291986508688408e-15, - "001010010100": 2.6048895521166804e-12, - "001010010101": 4.103964057938325e-15, - "001010010110": 4.2344180022348385e-15, - "001010010111": 2.7687465380366508e-17, - "001010011000": 2.7987661454477783e-12, - "001010011001": 4.4092220432032225e-15, - "001010011010": 4.2344152390538915e-15, - "001010011011": 2.808568125380353e-17, - "001010011100": 4.421694072593767e-15, - "001010011101": 2.806435211282811e-17, - "001010011110": 2.85505180900515e-17, - "001010011111": 4.612436475434024e-15, - "001010100000": 1.7163369811776493e-09, - "001010100001": 2.7123811931447266e-12, - "001010100010": 2.6049956393003556e-12, - "001010100011": 4.292354679619552e-15, - "001010100100": 2.6048895532437237e-12, - "001010100101": 4.103964057906964e-15, - "001010100110": 4.234414015892008e-15, - "001010100111": 2.768744310205007e-17, - "001010101000": 2.6050009477650723e-12, - "001010101001": 4.1039611743200125e-15, - "001010101010": 3.941252948319191e-15, - "001010101011": 2.614122227729366e-17, - "001010101100": 4.234604138832111e-15, - "001010101101": 2.649648072007894e-17, - "001010101110": 2.6955789839215244e-17, - "001010101111": 4.292734092713005e-15, - "001010110000": 2.7988884604025934e-12, - "001010110001": 4.409601960935069e-15, - "001010110010": 4.2344152409723475e-15, - "001010110011": 2.808566271309603e-17, - "001010110100": 4.23460812709297e-15, - "001010110101": 2.6496484543606976e-17, - "001010110110": 2.7338499639846213e-17, - "001010110111": 4.29236303980958e-15, - "001010111000": 4.422087479988826e-15, - "001010111001": 2.806434229276308e-17, - "001010111010": 2.6955800184919288e-17, - "001010111011": 4.2923575470756846e-15, - "001010111100": 2.8164841690015435e-17, - "001010111101": 4.292545932920532e-15, - "001010111110": 4.470373945672172e-15, - "001010111111": 2.8370124018649522e-12, - "001011000000": 1.8440822799575538e-09, - "001011000001": 2.914260920887911e-12, - "001011000010": 2.7988827532028177e-12, - "001011000011": 4.612032898398038e-15, - "001011000100": 2.7987687903159485e-12, - "001011000101": 4.409605060753255e-15, - "001011000110": 4.549780335800946e-15, - "001011000111": 2.932559732528703e-17, - "001011001000": 2.798768782492309e-12, - "001011001001": 4.409226197800828e-15, - "001011001010": 4.234415239024305e-15, - "001011001011": 2.80856852956153e-17, - "001011001100": 4.549582493583619e-15, - "001011001101": 2.846734213445782e-17, - "001011001110": 2.8960819396080367e-17, - "001011001111": 4.612036266457396e-15, - "001011010000": 2.7988910963668012e-12, - "001011010001": 4.409606115521998e-15, - "001011010010": 4.234419227286384e-15, - "001011010011": 2.808568915281706e-17, - "001011010100": 4.23460812709297e-15, - "001011010101": 2.6496484543420756e-17, - "001011010110": 2.7338503526017773e-17, - "001011010111": 4.292363036023502e-15, - "001011011000": 4.549988632608991e-15, - "001011011001": 2.846735478567879e-17, - "001011011010": 2.733850999873981e-17, - "001011011011": 4.291989372452128e-15, - "001011011100": 2.8572403826964524e-17, - "001011011101": 4.2921712176222e-15, - "001011011110": 4.469998957020855e-15, - "001011011111": 2.8368910776825228e-12, - "001011100000": 2.92280431740344e-12, - "001011100001": 4.6048363377817815e-15, - "001011100010": 4.421886544504644e-15, - "001011100011": 2.9329110091719607e-17, - "001011100100": 4.421697045792235e-15, - "001011100101": 2.8064356168799674e-17, - "001011100110": 2.89608194476454e-17, - "001011100111": 4.612030444057729e-15, - "001011101000": 4.422090451295475e-15, - "001011101001": 2.8064364931573894e-17, - "001011101010": 2.6955800184838547e-17, - "001011101011": 4.292357543231714e-15, - "001011101100": 2.8572400044421726e-17, - "001011101101": 4.2921712175628295e-15, - "001011101110": 4.469990300452682e-15, - "001011101111": 2.836891097684078e-12, - "001011110000": 4.615989435828585e-15, - "001011110001": 2.9300895361441906e-17, - "001011110010": 2.8550524932898235e-17, - "001011110011": 4.61203163184644e-15, - "001011110100": 2.8164860432182184e-17, - "001011110101": 4.292545930994058e-15, - "001011110110": 4.469998958729667e-15, - "001011110111": 2.8368910967001656e-12, - "001011111000": 2.940476643702189e-17, - "001011111001": 4.6122357248192634e-15, - "001011111010": 4.470377091091757e-15, - "001011111011": 2.836891087343697e-12, - "001011111100": 4.67559298529791e-15, - "001011111101": 2.8370066043852656e-12, - "001011111110": 2.9539561461125442e-12, - "001011111111": 1.8692013328106543e-09, - "001100000000": 1.2150009477853206e-06, - "001100000001": 1.9200956708934448e-09, - "001100000010": 1.844076666279138e-09, - "001100000011": 3.0480330538051754e-12, - "001100000100": 1.8440015715361211e-09, - "001100000101": 2.9142602201312697e-12, - "001100000110": 3.007196983296685e-12, - "001100000111": 4.815067184051002e-15, - "001100001000": 1.8440015775172584e-09, - "001100001001": 2.914133551403689e-12, - "001100001010": 2.798880118386353e-12, - "001100001011": 4.612031631846438e-15, - "001100001100": 3.007072577804282e-12, - "001100001101": 4.7380070975605774e-15, - "001100001110": 4.75121457658209e-15, - "001100001111": 3.061410971156546e-17, - "001100010000": 1.8440015775163592e-09, - "001100010001": 2.9141335718052947e-12, - "001100010010": 2.7987604433785815e-12, - "001100010011": 4.611628637833195e-15, - "001100010100": 2.7987661543776026e-12, - "001100010101": 4.409600907898843e-15, - "001100010110": 4.5497803376043615e-15, - "001100010111": 2.932559336251517e-17, - "001100011000": 3.007072587569077e-12, - "001100011001": 4.737592541343286e-15, - "001100011010": 4.5497773651691184e-15, - "001100011011": 2.9750397821034654e-17, - "001100011100": 4.751004079904299e-15, - "001100011101": 2.972766375969026e-17, - "001100011110": 3.023468579657003e-17, - "001100011111": 4.816230261549685e-15, - "001100100000": 1.8440015713615503e-09, - "001100100001": 2.91413355136011e-12, - "001100100010": 2.7987604444457386e-12, - "001100100011": 4.611628637746575e-15, - "001100100100": 2.798646467495451e-12, - "001100100101": 4.409225143320367e-15, - "001100100110": 4.5493782310376496e-15, - "001100100111": 2.974689052484177e-17, - "001100101000": 2.7987661465538767e-12, - "001100101001": 4.4092220414446014e-15, - "001100101010": 4.234411250987588e-15, - "001100101011": 2.808566271309604e-17, - "001100101100": 4.549582491657955e-15, - "001100101101": 2.8467346018112045e-17, - "001100101110": 2.8960819638763403e-17, - "001100101111": 4.6120375385878604e-15, - "001100110000": 3.0070725706676568e-12, - "001100110001": 4.737592543132363e-15, - "001100110010": 4.549375260447036e-15, - "001100110011": 3.017470641153658e-17, - "001100110100": 4.549582493583619e-15, - "001100110101": 2.8467323326822025e-17, - "001100110110": 2.9371968541165617e-17, - "001100110111": 4.611634544534535e-15, - "001100111000": 4.751008031566311e-15, - "001100111001": 3.015180421694595e-17, - "001100111010": 2.8960807298588585e-17, - "001100111011": 4.611628639718545e-15, - "001100111100": 3.0259779005978104e-17, - "001100111101": 4.611831037847873e-15, - "001100111110": 4.802886127641394e-15, - "001100111111": 3.048033044773401e-12, - "001101000000": 1.8440822806862846e-09, - "001101000001": 2.914260922039535e-12, - "001101000010": 2.7988827543088366e-12, - "001101000011": 4.612032900244678e-15, - "001101000100": 2.7987687914221588e-12, - "001101000101": 4.4096050624267755e-15, - "001101000110": 4.5497803375471075e-15, - "001101000111": 2.9325597400694545e-17, - "001101001000": 2.798768782531246e-12, - "001101001001": 4.409226196100746e-15, - "001101001010": 4.2344152372745194e-15, - "001101001011": 2.808568915281706e-17, - "001101001100": 4.549582491657955e-15, - "001101001101": 2.846734601774918e-17, - "001101001110": 2.896082344676228e-17, - "001101001111": 4.612037534942399e-15, - "001101010000": 2.7988884615086373e-12, - "001101010001": 4.409601962608594e-15, - "001101010010": 4.234415239222566e-15, - "001101010011": 2.808566656993696e-17, - "001101010100": 4.234604138832111e-15, - "001101010101": 2.649646321401625e-17, - "001101010110": 2.7338481587249978e-17, - "001101010111": 4.292360175769686e-15, - "001101011000": 4.549985650813648e-15, - "001101011001": 2.846733596214993e-17, - "001101011010": 2.7338491946328635e-17, - "001101011011": 4.291986508746303e-15, - "001101011100": 2.857238503901663e-17, - "001101011101": 4.29216835372617e-15, - "001101011110": 4.469995974446381e-15, - "001101011111": 2.8368891849356973e-12, - "001101100000": 3.007205962816638e-12, - "001101100001": 4.738008234115978e-15, - "001101100010": 4.549780350619225e-15, - "001101100011": 2.975040196835051e-17, - "001101100100": 4.549585477243643e-15, - "001101100101": 2.846734603340452e-17, - "001101100110": 2.937196854099463e-17, - "001101100111": 4.611634540802993e-15, - "001101101000": 4.549988634419347e-15, - "001101101001": 2.846735866918413e-17, - "001101101010": 2.733848806007663e-17, - "001101101011": 4.291986508688408e-15, - "001101101100": 2.898080588971309e-17, - "001101101101": 4.291797770096445e-15, - "001101101110": 4.469617404169495e-15, - "001101101111": 2.836767869656098e-12, - "001101110000": 4.751430759787592e-15, - "001101110001": 2.9727672939563913e-17, - "001101110010": 2.8960826213813674e-17, - "001101110011": 4.611628637833197e-15, - "001101110100": 2.8572400044421726e-17, - "001101110101": 4.2921683555843e-15, - "001101110110": 4.469617405956528e-15, - "001101110111": 2.8367678898074403e-12, - "001101111000": 2.9827724614815976e-17, - "001101111001": 4.6118340524158115e-15, - "001101111010": 4.469999123619562e-15, - "001101111011": 2.836767879515298e-12, - "001101111100": 4.675197914362494e-15, - "001101111101": 2.8368833912985328e-12, - "001101111110": 2.95382783302639e-12, - "001101111111": 1.8691200374747057e-09, - "001110000000": 1.925724487035994e-09, - "001110000001": 3.043282645004719e-12, - "001110000010": 2.922796394719306e-12, - "001110000011": 4.816225447449056e-15, - "001110000100": 2.9226773853332633e-12, - "001110000101": 4.604836482676776e-15, - "001110000110": 4.751215868278888e-15, - "001110000111": 3.061770069243267e-17, - "001110001000": 2.9226773959951517e-12, - "001110001001": 4.604433857757432e-15, - "001110001010": 4.421883573100911e-15, - "001110001011": 2.9329110091719607e-17, - "001110001100": 4.751004079904299e-15, - "001110001101": 2.9727667829149254e-17, - "001110001110": 3.024299275843475e-17, - "001110001111": 4.816224166624745e-15, - "001110010000": 2.922677378330238e-12, - "001110010001": 4.6044338596068205e-15, - "001110010010": 4.421494202797761e-15, - "001110010011": 2.975040196835052e-17, - "001110010100": 4.421694072593767e-15, - "001110010101": 2.806433738475814e-17, - "001110010110": 2.896082730621102e-17, - "001110010111": 4.612031712540774e-15, - "001110011000": 4.7510080316521085e-15, - "001110011001": 3.015180421669861e-17, - "001110011010": 2.896081110630197e-17, - "001110011011": 4.611628635985357e-15, - "001110011100": 3.0268073723046926e-17, - "001110011101": 4.6118239469320025e-15, - "001110011110": 4.802878044300191e-15, - "001110011111": 3.0480330636866884e-12, - "001110100000": 2.922804318611117e-12, - "001110100001": 4.604836339708732e-15, - "001110100010": 4.421886546280565e-15, - "001110100011": 2.932911016760115e-17, - "001110100100": 4.4216970439506365e-15, - "001110100101": 2.8064360023840854e-17, - "001110100110": 2.89608234980415e-17, - "001110100111": 4.612031712455797e-15, - "001110101000": 4.422087481828323e-15, - "001110101001": 2.806434614765575e-17, - "001110101010": 2.69557821232765e-17, - "001110101011": 4.292354679619554e-15, - "001110101100": 2.857238503901663e-17, - "001110101101": 4.29216835028242e-15, - "001110101110": 4.469987314463856e-15, - "001110101111": 2.8368892038022686e-12, - "001110110000": 4.751430759873392e-15, - "001110110001": 2.972767293986937e-17, - "001110110010": 2.896082621352786e-17, - "001110110011": 4.611628637746578e-15, - "001110110100": 2.8572403826964524e-17, - "001110110101": 4.29216835219992e-15, - "001110110110": 4.469617402515522e-15, - "001110110111": 2.836767888672539e-12, - "001110111000": 2.9835954391535673e-17, - "001110111001": 4.611826965118321e-15, - "001110111010": 4.4699904636902e-15, - "001110111011": 2.8367678995165996e-12, - "001110111100": 4.675189929470416e-15, - "001110111101": 2.8368834103581183e-12, - "001110111110": 2.9538278542659862e-12, - "001110111111": 1.8691200436769217e-09, - "001111000000": 3.0509637319280778e-12, - "001111000001": 4.806748476489159e-15, - "001111000010": 4.615777863943208e-15, - "001111000011": 3.061513588418951e-17, - "001111000100": 4.6155749139228555e-15, - "001111000101": 2.930089040593762e-17, - "001111000110": 3.023468993492125e-17, - "001111000111": 4.816225390032441e-15, - "001111001000": 4.615578820265514e-15, - "001111001001": 2.972200046956637e-17, - "001111001010": 2.855051008457037e-17, - "001111001011": 4.612032898398038e-15, - "001111001100": 3.025977900597812e-17, - "001111001101": 4.6118310340292645e-15, - "001111001110": 4.8028780441948815e-15, - "001111001111": 3.0480330626406106e-12, - "001111010000": 4.615989437737021e-15, - "001111010001": 2.9300895437196447e-17, - "001111010010": 2.855052895434203e-17, - "001111010011": 4.61203290024468e-15, - "001111010100": 2.8164841690015435e-17, - "001111010101": 4.292543067165264e-15, - "001111010110": 4.4699959727150955e-15, - "001111010111": 2.836889202818592e-12, - "001111011000": 2.982772461508016e-17, - "001111011001": 4.61183405232919e-15, - "001111011010": 4.469999120179467e-15, - "001111011011": 2.836767878380633e-12, - "001111011100": 4.675189929470416e-15, - "001111011101": 2.8368834103583558e-12, - "001111011110": 2.953827853440465e-12, - "001111011111": 1.869120043678477e-09, - "001111100000": 4.819215987235578e-15, - "001111100001": 3.0588298468529634e-17, - "001111100010": 2.980888680217069e-17, - "001111100011": 4.816225447449055e-15, - "001111100100": 2.9833798854030165e-17, - "001111100101": 4.612233976981671e-15, - "001111100110": 4.802886125819349e-15, - "001111100111": 3.0480330625739095e-12, - "001111101000": 2.940476642530305e-17, - "001111101001": 4.612236993329959e-15, - "001111101010": 4.470374108665591e-15, - "001111101011": 2.8368891934620254e-12, - "001111101100": 4.675197914362494e-15, - "001111101101": 2.8368833901637133e-12, - "001111101110": 2.9538278542661114e-12, - "001111101111": 1.8691200436785644e-09, - "001111110000": 3.069944183455474e-17, - "001111110001": 4.816437208717261e-15, - "001111110010": 4.803292761494349e-15, - "001111110011": 3.048033053805177e-12, - "001111110100": 4.67559298529791e-15, - "001111110101": 2.837004711672445e-12, - "001111110110": 2.9538278330149864e-12, - "001111110111": 1.8691200436777695e-09, - "001111111000": 4.881426688079044e-15, - "001111111001": 3.048159154730013e-12, - "001111111010": 2.953956245873169e-12, - "001111111011": 1.8691200376151064e-09, - "001111111100": 3.0895512410689776e-12, - "001111111101": 1.8691961552761965e-09, - "001111111110": 1.9462506693526586e-09, - "001111111111": 1.231551344934406e-06, - "010000000000": 0.0007450985275679204, - "010000000001": 1.1774974066874698e-06, - "010000000010": 1.1308788030698264e-06, - "010000000011": 1.869196155276194e-09, - "010000000100": 1.1308327512750716e-06, - "010000000101": 1.7871604015362173e-09, - "010000000110": 1.8441529656907948e-09, - "010000000111": 2.9619001540646228e-12, - "010000001000": 1.1308327549431232e-06, - "010000001001": 1.7870826139521352e-09, - "010000001010": 1.7164032684742195e-09, - "010000001011": 2.837006604385265e-12, - "010000001100": 1.844076666279138e-09, - "010000001101": 2.9143807971524457e-12, - "010000001110": 2.922916520098057e-12, - "010000001111": 4.678834346738301e-15, - "010000010000": 1.130832754943599e-06, - "010000010001": 1.7870826198897222e-09, - "010000010010": 1.7163297629757597e-09, - "010000010011": 2.8368833912985328e-12, - "010000010100": 1.7163333721108852e-09, - "010000010101": 2.7124935425776913e-12, - "010000010110": 2.7989985466583204e-12, - "010000010111": 4.481519745881081e-15, - "010000011000": 1.8440766715318605e-09, - "010000011001": 2.914252213638418e-12, - "010000011010": 2.798996723012382e-12, - "010000011011": 4.612235724495172e-15, - "010000011100": 2.922796394719306e-12, - "010000011101": 4.605039016293223e-15, - "010000011110": 4.615981314967655e-15, - "010000011111": 3.0153505217928364e-17, - "010000100000": 1.130832754943599e-06, - "010000100001": 1.787082619891134e-09, - "010000100010": 1.7163297693594992e-09, - "010000100011": 2.8368834103581183e-12, - "010000100100": 1.7162598703593573e-09, - "010000100101": 2.712377545885269e-12, - "010000100110": 2.7988762304865207e-12, - "010000100111": 4.481126686321033e-15, - "010000101000": 1.7163333776779787e-09, - "010000101001": 2.7123756445986117e-12, - "010000101010": 2.605101712927443e-12, - "010000101011": 4.292545932920532e-15, - "010000101100": 2.798882754308837e-12, - "010000101101": 4.409801300942446e-15, - "010000101110": 4.4220826524201375e-15, - "010000101111": 2.888189523374288e-17, - "010000110000": 1.8440766715326374e-09, - "010000110001": 2.9142522319351478e-12, - "010000110010": 2.7988744057069193e-12, - "010000110011": 4.611831037847871e-15, - "010000110100": 2.7988827532028177e-12, - "010000110101": 4.409798412140472e-15, - "010000110110": 4.549983158446177e-15, - "010000110111": 2.9297391219644285e-17, - "010000111000": 2.9227964031079817e-12, - "010000111001": 4.604635950522557e-15, - "010000111010": 4.422080965401205e-15, - "010000111011": 2.9300901445733087e-17, - "010000111100": 4.615777863943208e-15, - "010000111101": 2.9272694133312e-17, - "010000111110": 2.9780029792071686e-17, - "010000111111": 4.807171158027097e-15, - "010001000000": 1.1308327549431768e-06, - "010001000001": 1.7870826198897973e-09, - "010001000010": 1.7163297693594992e-09, - "010001000011": 2.8368834103583558e-12, - "010001000100": 1.7162598767413337e-09, - "010001000101": 2.7123775660948542e-12, - "010001000110": 2.7988762486298906e-12, - "010001000111": 4.481119687505981e-15, - "010001001000": 1.7162598759247174e-09, - "010001001001": 2.7122596573639247e-12, - "010001001010": 2.604990325835677e-12, - "010001001011": 4.292171217622198e-15, - "010001001100": 2.79876044444574e-12, - "010001001101": 4.409414764713769e-15, - "010001001110": 4.421685496782916e-15, - "010001001111": 2.9305643091348855e-17, - "010001010000": 1.7163333776772084e-09, - "010001010001": 2.7123756637334137e-12, - "010001010010": 2.604990324691613e-12, - "010001010011": 4.29216835372617e-15, - "010001010100": 2.6049956393003556e-12, - "010001010101": 4.1041378643993574e-15, - "010001010110": 4.2345994903837184e-15, - "010001010111": 2.7666283618443632e-17, - "010001011000": 2.7988827634128013e-12, - "010001011001": 4.409412928666958e-15, - "010001011010": 4.234600713597161e-15, - "010001011011": 2.806437071134041e-17, - "010001011100": 4.421886546280565e-15, - "010001011101": 2.8043059467660255e-17, - "010001011110": 2.852670414317556e-17, - "010001011111": 4.6052413206376824e-15, - "010001100000": 1.8440766715309578e-09, - "010001100001": 2.9142522319352613e-12, - "010001100010": 2.798874423850125e-12, - "010001100011": 4.6118239469320025e-15, - "010001100100": 2.798760443339636e-12, - "010001100101": 4.409411872380944e-15, - "010001100110": 4.5495732127112815e-15, - "010001100111": 2.972413743761296e-17, - "010001101000": 2.798882763412688e-12, - "010001101001": 4.4094129252363075e-15, - "010001101010": 4.234596723709163e-15, - "010001101011": 2.806435211282811e-17, - "010001101100": 4.549780350619225e-15, - "010001101101": 2.84458819605367e-17, - "010001101110": 2.893681878715321e-17, - "010001101111": 4.6048428937371e-15, - "010001110000": 2.922796404226588e-12, - "010001110001": 4.604628851940444e-15, - "010001110010": 4.421683807878272e-15, - "010001110011": 2.9727663759690275e-17, - "010001110100": 4.421886544504644e-15, - "010001110101": 2.8043044679872494e-17, - "010001110110": 2.893682264418527e-17, - "010001110111": 4.604837060572164e-15, - "010001111000": 4.615776627087016e-15, - "010001111001": 2.9699271144645194e-17, - "010001111010": 2.852669606361417e-17, - "010001111011": 4.604838245361986e-15, - "010001111100": 2.98088868021707e-17, - "010001111101": 4.605039016293223e-15, - "010001111110": 4.795800333180611e-15, - "010001111111": 3.043416086238839e-12, - "010010000000": 1.1308327507298777e-06, - "010010000001": 1.7870826132440237e-09, - "010010000010": 1.7163297629757597e-09, - "010010000011": 2.8368833901637133e-12, - "010010000100": 1.7162598703592973e-09, - "010010000101": 2.712377545885357e-12, - "010010000110": 2.7988762294195345e-12, - "010010000111": 4.481126682642562e-15, - "010010001000": 1.7162598759246572e-09, - "010010001001": 2.7122596573638205e-12, - "010010001010": 2.604990325835766e-12, - "010010001011": 4.2921712175628295e-15, - "010010001100": 2.7987604433785823e-12, - "010010001101": 4.4094147612816236e-15, - "010010001110": 4.4216854931019055e-15, - "010010001111": 2.9305647132175826e-17, - "010010010000": 1.7162598695419095e-09, - "010010010001": 2.712259656289113e-12, - "010010010010": 2.604878927840002e-12, - "010010010011": 4.291797770096445e-15, - "010010010100": 2.60488423889874e-12, - "010010010101": 4.103785834243041e-15, - "010010010110": 4.234226706167716e-15, - "010010010111": 2.806643666481188e-17, - "010010011000": 2.7987604343345377e-12, - "010010011001": 4.409030562860204e-15, - "010010011010": 4.234223943010569e-15, - "010010011011": 2.846736077209575e-17, - "010010011100": 4.421494202797761e-15, - "010010011101": 2.84458819605367e-17, - "010010011110": 2.894410157712142e-17, - "010010011111": 4.73842336240627e-15, - "010010100000": 1.7163333712931674e-09, - "010010100001": 2.7123756435238573e-12, - "010010100010": 2.604990324691613e-12, - "010010100011": 4.29216835028242e-15, - "010010100100": 2.604884238898652e-12, - "010010100101": 4.1037858306500225e-15, - "010010100110": 4.234222716233338e-15, - "010010100111": 2.8066418119322984e-17, - "010010101000": 2.6049956309185058e-12, - "010010101001": 4.103782947052288e-15, - "010010101010": 3.941074892810422e-15, - "010010101011": 2.649648072007894e-17, - "010010101100": 4.234415239222566e-15, - "010010101101": 2.685414687112955e-17, - "010010101110": 2.732473436664662e-17, - "010010101111": 4.409992179718722e-15, - "010010110000": 2.7988827453896227e-12, - "010010110001": 4.4094129234815306e-15, - "010010110010": 4.234223941140437e-15, - "010010110011": 2.846734601811205e-17, - "010010110100": 4.234419227286384e-15, - "010010110101": 2.6854150720217662e-17, - "010010110110": 2.771003673383902e-17, - "010010110111": 4.409613507834009e-15, - "010010111000": 4.4218902803442444e-15, - "010010111001": 2.844587613077846e-17, - "010010111010": 2.7324744912635638e-17, - "010010111011": 4.409607953292022e-15, - "010010111100": 2.855052895434203e-17, - "010010111101": 4.409801300942448e-15, - "010010111110": 4.592473272413417e-15, - "010010111111": 2.9143894997050275e-12, - "010011000000": 1.8440766653758322e-09, - "010011000001": 2.9142522124450956e-12, - "010011000010": 2.7988744057069193e-12, - "010011000011": 4.611831034029262e-15, - "010011000100": 2.7987604433395517e-12, - "010011000101": 4.409411872320907e-15, - "010011000110": 4.549573208975349e-15, - "010011000111": 2.972414150703148e-17, - "010011001000": 2.7987604354014976e-12, - "010011001001": 4.409030562801665e-15, - "010011001010": 4.2342199531025004e-15, - "010011001011": 2.846734213445782e-17, - "010011001100": 4.549375260447035e-15, - "010011001101": 2.8851585050693596e-17, - "010011001110": 2.9357179146901147e-17, - "010011001111": 4.738011784859627e-15, - "010011010000": 2.7988827464567265e-12, - "010011010001": 4.409412926853642e-15, - "010011010010": 4.234223941140437e-15, - "010011010011": 2.846734601774918e-17, - "010011010100": 4.2344152409723475e-15, - "010011010101": 2.685412543932938e-17, - "010011010110": 2.7710014559797457e-17, - "010011010111": 4.409609352726585e-15, - "010011011000": 4.549784112743573e-15, - "010011011001": 2.8851597934070866e-17, - "010011011010": 2.771002120682401e-17, - "010011011011": 4.409228033847261e-15, - "010011011100": 2.896082621352786e-17, - "010011011101": 4.4094147647137665e-15, - "010011011110": 4.592086159159905e-15, - "010011011111": 2.9142621207479816e-12, - "010011100000": 2.9227963865710935e-12, - "010011100001": 4.604635948641267e-15, - "010011100010": 4.421683807878272e-15, - "010011100011": 2.9727667829149254e-17, - "010011100100": 4.42149420470285e-15, - "010011100101": 2.844586716231497e-17, - "010011100110": 2.93571830327085e-17, - "010011100111": 4.738005893703231e-15, - "010011101000": 4.4218902840237275e-15, - "010011101001": 2.8445876130629317e-17, - "010011101010": 2.7324722757642988e-17, - "010011101011": 4.40960379478065e-15, - "010011101100": 2.8960826213813674e-17, - "010011101101": 4.4094147612816236e-15, - "010011101110": 4.592077394075421e-15, - "010011101111": 2.9142621400424844e-12, - "010011110000": 4.6157805110989165e-15, - "010011110001": 2.9699271152647023e-17, - "010011110010": 2.894408942313645e-17, - "010011110011": 4.7380070975605774e-15, - "010011110100": 2.8550524932898235e-17, - "010011110101": 4.40979714412805e-15, - "010011110110": 4.5920861574901806e-15, - "010011110111": 2.9142621390447854e-12, - "010011111000": 2.980740905462031e-17, - "010011111001": 4.738216585018583e-15, - "010011111010": 4.592472176773481e-15, - "010011111011": 2.9142621294355353e-12, - "010011111100": 4.803292761494347e-15, - "010011111101": 2.9143807971524465e-12, - "010011111110": 3.0345199447283447e-12, - "010011111111": 1.9201805060964713e-09, - "010100000000": 1.1308811809635266e-06, - "010100000001": 1.7871591488620495e-09, - "010100000010": 1.7164032684742195e-09, - "010100000011": 2.837004711672444e-12, - "010100000100": 1.7163333728646887e-09, - "010100000101": 2.7124935425747372e-12, - "010100000110": 2.7989959105916282e-12, - "010100000111": 4.481516759582809e-15, - "010100001000": 1.7163333784317224e-09, - "010100001001": 2.712375645789933e-12, - "010100001010": 2.6051017129445834e-12, - "010100001011": 4.292545930994056e-15, - "010100001100": 2.7988801183863537e-12, - "010100001101": 4.40979714412805e-15, - "010100001110": 4.422079679060386e-15, - "010100001111": 2.8881880203512735e-17, - "010100010000": 1.716333378430952e-09, - "010100010001": 2.7123756649245436e-12, - "010100010010": 2.604990325835766e-12, - "010100010011": 4.2921683555843e-15, - "010100010100": 2.6049956393175204e-12, - "010100010101": 4.104137862573329e-15, - "010100010110": 4.234599488399027e-15, - "010100010111": 2.766628764572146e-17, - "010100011000": 2.7988801274900923e-12, - "010100011001": 4.409408772302891e-15, - "010100011010": 4.234596721754059e-15, - "010100011011": 2.8064352128412616e-17, - "010100011100": 4.42188357310091e-15, - "010100011101": 2.80430446798725e-17, - "010100011110": 2.8526689266151644e-17, - "010100011111": 4.6052395599709675e-15, - "010100100000": 1.7163333720469706e-09, - "010100100001": 2.7123756447150915e-12, - "010100100010": 2.604990325835677e-12, - "010100100011": 4.29216835219992e-15, - "010100100100": 2.6048842400428575e-12, - "010100100101": 4.1037858324171025e-15, - "010100100110": 4.2342227180738856e-15, - "010100100111": 2.8066418134760653e-17, - "010100101000": 2.6049956309355825e-12, - "010100101001": 4.10378294525771e-15, - "010100101010": 3.941074891013016e-15, - "010100101011": 2.6496484543606976e-17, - "010100101100": 4.234415237274521e-15, - "010100101101": 2.6854150720217662e-17, - "010100101110": 2.7324738337263925e-17, - "010100101111": 4.409993445808214e-15, - "010100110000": 2.7988801105341576e-12, - "010100110001": 4.40940877054961e-15, - "010100110010": 4.2342199531025004e-15, - "010100110011": 2.8467323326822025e-17, - "010100110100": 4.234415239024305e-15, - "010100110101": 2.685412928860344e-17, - "010100110110": 2.7710014645826135e-17, - "010100110111": 4.409610622596983e-15, - "010100111000": 4.421887310818004e-15, - "010100111001": 2.844585726479564e-17, - "010100111010": 2.7324726728340733e-17, - "010100111011": 4.409605064708927e-15, - "010100111100": 2.855051008457039e-17, - "010100111101": 4.409798412140472e-15, - "010100111110": 4.592470263991356e-15, - "010100111111": 2.9143875904322413e-12, - "010101000000": 1.7164068776878271e-09, - "010101000001": 2.7124916413053233e-12, - "010101000010": 2.605101712927443e-12, - "010101000011": 4.292543067165264e-15, - "010101000100": 2.6049956404444437e-12, - "010101000101": 4.104137862541968e-15, - "010101000110": 4.234595498511824e-15, - "010101000111": 2.7666269138788992e-17, - "010101001000": 2.6049956320625947e-12, - "010101001001": 4.1037829488193695e-15, - "010101001010": 3.941074891013016e-15, - "010101001011": 2.6496484543420756e-17, - "010101001100": 4.234411250987588e-15, - "010101001101": 2.685412543932938e-17, - "010101001110": 2.7324716182167072e-17, - "010101001111": 4.409989290770003e-15, - "010101010000": 2.6051070227789687e-12, - "010101010001": 4.1041349772837845e-15, - "010101010010": 3.941074892810422e-15, - "010101010011": 2.649646321401625e-17, - "010101010100": 3.941252948319191e-15, - "010101010101": 2.499493088375134e-17, - "010101010110": 2.5791564165481876e-17, - "010101010111": 4.1043189840842695e-15, - "010101011000": 4.234789024082525e-15, - "010101011001": 2.6854115985218824e-17, - "010101011010": 2.5791573994027212e-17, - "010101011011": 4.103964061531432e-15, - "010101011100": 2.69557821232765e-17, - "010101011101": 4.1041378643993574e-15, - "010101011110": 4.274162374846559e-15, - "010101011111": 2.712499085445441e-12, - "010101100000": 2.7990024306482633e-12, - "010101100001": 4.409795310195573e-15, - "010101100010": 4.234596723709163e-15, - "010101100011": 2.806433738475815e-17, - "010101100100": 4.234415242849545e-15, - "010101100101": 2.6854129288543104e-17, - "010101100110": 2.770999247215285e-17, - "010101100111": 4.409606464086592e-15, - "010101101000": 4.234793014200934e-15, - "010101101001": 2.685414126596106e-17, - "010101101010": 2.5791573994133082e-17, - "010101101011": 4.103964057938325e-15, - "010101101100": 2.733848806007663e-17, - "010101101101": 4.103785834243041e-15, - "010101101110": 4.273802702187012e-15, - "010101101111": 2.7123830862236833e-12, - "010101110000": 4.422280530981918e-15, - "010101110001": 2.8043034814627084e-17, - "010101110010": 2.7324722757642988e-17, - "010101110011": 4.4096009078988464e-15, - "010101110100": 2.6955800184838547e-17, - "010101110101": 4.104137862573329e-15, - "010101110110": 4.273802703809534e-15, - "010101110111": 2.712383105358316e-12, - "010101111000": 2.814011562045564e-17, - "010101111001": 4.409797139302959e-15, - "010101111010": 4.2741653822476444e-15, - "010101111011": 2.7123830955309176e-12, - "010101111100": 4.470374108665591e-15, - "010101111101": 2.7124935425776913e-12, - "010101111110": 2.8243102980217498e-12, - "010101111111": 1.787164159530007e-09, - "010110000000": 1.844157378809953e-09, - "010110000001": 2.914379589855854e-12, - "010110000010": 2.798996723012382e-12, - "010110000011": 4.612233976981671e-15, - "010110000100": 2.7988827544515487e-12, - "010110000101": 4.409798410185058e-15, - "010110000110": 4.549980172757868e-15, - "010110000111": 2.9297380159923454e-17, - "010110001000": 2.798882764661333e-12, - "010110001001": 4.409412927176531e-15, - "010110001010": 4.234596721754059e-15, - "010110001011": 2.8064356168799674e-17, - "010110001100": 4.5497773651691184e-15, - "010110001101": 2.844586716231497e-17, - "010110001110": 2.8936807699374724e-17, - "010110001111": 4.604841129182378e-15, - "010110010000": 2.7988827477054574e-12, - "010110010001": 4.4094129288539e-15, - "010110010010": 4.234223943010569e-15, - "010110010011": 2.846734603340452e-17, - "010110010100": 4.2344152390538915e-15, - "010110010101": 2.6854129288543104e-17, - "010110010110": 2.771001855811273e-17, - "010110010111": 4.409610618699849e-15, - "010110011000": 4.549781131001806e-15, - "010110011001": 2.885157902889301e-17, - "010110011010": 2.771000303145841e-17, - "010110011011": 4.40922514507899e-15, - "010110011100": 2.896081110630198e-17, - "010110011101": 4.409411872380943e-15, - "010110011110": 4.5920831471000594e-15, - "010110011111": 2.914260210292008e-12, - "010110100000": 2.7990050667392964e-12, - "010110100001": 4.409799465085779e-15, - "010110100010": 4.234600713597161e-15, - "010110100011": 2.8064360023840854e-17, - "010110100100": 4.234419229193165e-15, - "010110100101": 2.685415456937242e-17, - "010110100110": 2.771001855830571e-17, - "010110100111": 4.409610615269113e-15, - "010110101000": 4.2347930142305204e-15, - "010110101001": 2.685414126608777e-17, - "010110101010": 2.5791573994027212e-17, - "010110101011": 4.1039640579069664e-15, - "010110101100": 2.7338491946328635e-17, - "010110101101": 4.1037858306500225e-15, - "010110101110": 4.273802698511828e-15, - "010110101111": 2.7123830850294066e-12, - "010110110000": 4.550187079619188e-15, - "010110110001": 2.8445875942724437e-17, - "010110110010": 2.771002120682401e-17, - "010110110011": 4.409225143320369e-15, - "010110110100": 2.733850999873981e-17, - "010110110101": 4.1037858324171025e-15, - "010110110110": 4.273448987962676e-15, - "010110110111": 2.7122670942289257e-12, - "010110111000": 2.854751128267925e-17, - "010110111001": 4.409414754699891e-15, - "010110111010": 4.273805709475881e-15, - "010110111011": 2.7122671046165585e-12, - "010110111100": 4.469999120179467e-15, - "010110111101": 2.71237754588527e-12, - "010110111110": 2.8241894996280575e-12, - "010110111111": 1.7870876236961753e-09, - "010111000000": 2.9229233334989154e-12, - "010111000001": 4.605037110697383e-15, - "010111000010": 4.422080965401205e-15, - "010111000011": 2.930089040593762e-17, - "010111000100": 4.421886546480489e-15, - "010111000101": 2.8043048734463694e-17, - "010111000110": 2.893680775099672e-17, - "010111000111": 4.604835295959742e-15, - "010111001000": 4.421890286001187e-15, - "010111001001": 2.84458761463285e-17, - "010111001010": 2.7324726728340733e-17, - "010111001011": 4.409605060753254e-15, - "010111001100": 2.8960807298588585e-17, - "010111001101": 4.409411872320907e-15, - "010111001110": 4.592074382041318e-15, - "010111001111": 2.9142602295866974e-12, - "010111010000": 4.4222835024357626e-15, - "010111010001": 2.804305365706531e-17, - "010111010010": 2.7324744912635638e-17, - "010111010011": 4.4096050624267755e-15, - "010111010100": 2.6955800184919288e-17, - "010111010101": 4.1041378625419694e-15, - "010111010110": 4.273802700134351e-15, - "010111010111": 2.7123831041642287e-12, - "010111011000": 2.854750750186144e-17, - "010111011001": 4.409414758071998e-15, - "010111011010": 4.273805709475881e-15, - "010111011011": 2.7122671046167495e-12, - "010111011100": 4.4699904636902e-15, - "010111011101": 2.7123775660948555e-12, - "010111011110": 2.8241895211560013e-12, - "010111011111": 1.787087630342129e-09, - "010111100000": 4.6161909478882284e-15, - "010111100001": 2.9272688041801455e-17, - "010111100010": 2.852669606361417e-17, - "010111100011": 4.604836482676779e-15, - "010111100100": 2.8550524919621934e-17, - "010111100101": 4.40979841018506e-15, - "010111100110": 4.59208314891754e-15, - "010111100111": 2.9142602285888708e-12, - "010111101000": 2.81401343350271e-17, - "010111101001": 4.409801294161563e-15, - "010111101010": 4.2741653822476444e-15, - "010111101011": 2.7123830943367285e-12, - "010111101100": 4.469999123619562e-15, - "010111101101": 2.712377545885357e-12, - "010111101110": 2.8241895211558716e-12, - "010111101111": 1.7870876303435429e-09, - "010111110000": 2.937906294787449e-17, - "010111110001": 4.605039013556101e-15, - "010111110010": 4.592472176773481e-15, - "010111110011": 2.9142602201312705e-12, - "010111110100": 4.470377091091757e-15, - "010111110101": 2.712493542574739e-12, - "010111110110": 2.8241895007472123e-12, - "010111110111": 1.7870876303428704e-09, - "010111111000": 4.667176564816674e-15, - "010111111001": 2.9143807867016003e-12, - "010111111010": 2.8243122776446852e-12, - "010111111011": 1.7870876245462852e-09, - "010111111100": 2.9539562458731688e-12, - "010111111101": 1.7871604015362167e-09, - "010111111110": 1.8608331276067874e-09, - "010111111111": 1.1775007079513644e-06, - "011000000000": 1.2150512189292715e-06, - "011000000001": 1.9201751156205436e-09, - "011000000010": 1.8441529656907948e-09, - "011000000011": 3.0481591547300123e-12, - "011000000100": 1.8440778678407084e-09, - "011000000101": 2.9143807867015995e-12, - "011000000110": 3.0073213940138605e-12, - "011000000111": 4.815280207854101e-15, - "011000001000": 1.8440778738221776e-09, - "011000001001": 2.9142541124886464e-12, - "011000001010": 2.7989959105916274e-12, - "011000001011": 4.6122357248192634e-15, - "011000001100": 3.007196983296685e-12, - "011000001101": 4.738216585018581e-15, - "011000001110": 4.75142511392742e-15, - "011000001111": 3.058727826815102e-17, - "011000010000": 1.8440778738228794e-09, - "011000010001": 2.9142541319353036e-12, - "011000010010": 2.7988762294195336e-12, - "011000010011": 4.6118340524158115e-15, - "011000010100": 2.798881940834636e-12, - "011000010101": 4.4097971393029575e-15, - "011000010110": 4.549983145395113e-15, - "011000010111": 2.929738515791852e-17, - "011000011000": 3.0071969919794587e-12, - "011000011001": 4.737803368596152e-15, - "011000011010": 4.549980172757868e-15, - "011000011011": 2.9721996323987274e-17, - "011000011100": 4.751215868278888e-15, - "011000011101": 2.9699271144645176e-17, - "011000011110": 3.020564037364006e-17, - "011000011111": 4.806753283064597e-15, - "011000100000": 1.8440778738211994e-09, - "011000100001": 2.914254131935175e-12, - "011000100010": 2.79887624862989e-12, - "011000100011": 4.611826965118319e-15, - "011000100100": 2.798762266977996e-12, - "011000100101": 4.40941475469989e-15, - "011000100110": 4.549576183412091e-15, - "011000100111": 2.9724150650800285e-17, - "011000101000": 2.7988819510445245e-12, - "011000101001": 4.4094116526518574e-15, - "011000101010": 4.2345954985118224e-15, - "011000101011": 2.806434229276308e-17, - "011000101100": 4.5497803375471075e-15, - "011000101101": 2.844587613077846e-17, - "011000101110": 2.893681611553747e-17, - "011000101111": 4.6048409880098506e-15, - "011000110000": 3.0071969931151607e-12, - "011000110001": 4.737796197000523e-15, - "011000110010": 4.549573208975351e-15, - "011000110011": 3.015180421694595e-17, - "011000110100": 4.549780335800946e-15, - "011000110101": 2.844585726479563e-17, - "011000110110": 2.934776794066102e-17, - "011000110111": 4.6044397751389314e-15, - "011000111000": 4.7512146135992285e-15, - "011000111001": 3.012892525056885e-17, - "011000111010": 2.893680775099672e-17, - "011000111011": 4.604433859644055e-15, - "011000111100": 3.023468993492125e-17, - "011000111101": 4.6046359505225586e-15, - "011000111110": 4.795395581452351e-15, - "011000111111": 3.0432826359567086e-12, - "011001000000": 1.8440778676661334e-09, - "011001000001": 2.9142541124450866e-12, - "011001000010": 2.7988762304865187e-12, - "011001000011": 4.61183405232919e-15, - "011001000100": 2.7987622680450676e-12, - "011001000101": 4.4094147580719955e-15, - "011001000110": 4.549576183412091e-15, - "011001000111": 2.972415065024935e-17, - "011001001000": 2.798762259039935e-12, - "011001001001": 4.409033445037143e-15, - "011001001010": 4.234222718073884e-15, - "011001001011": 2.846735478567879e-17, - "011001001100": 4.5493782310376496e-15, - "011001001101": 2.8851597934070866e-17, - "011001001110": 2.93571955020688e-17, - "011001001111": 4.7380129195431116e-15, - "011001010000": 2.798881934088455e-12, - "011001010001": 4.409411654329225e-15, - "011001010010": 4.234222716233338e-15, - "011001010011": 2.846733596214993e-17, - "011001010100": 4.234414015892008e-15, - "011001010101": 2.6854115985218824e-17, - "011001010110": 2.7710007998926854e-17, - "011001010111": 4.4096075206091504e-15, - "011001011000": 4.5497840997362944e-15, - "011001011001": 2.885159189658538e-17, - "011001011010": 2.771001855830571e-17, - "011001011011": 4.40922619791791e-15, - "011001011100": 2.89608234980415e-17, - "011001011101": 4.409412928666958e-15, - "011001011110": 4.592084244245697e-15, - "011001011111": 2.9142609133937087e-12, - "011001100000": 3.0071969762232364e-12, - "011001100001": 4.73780337046903e-15, - "011001100010": 4.549573212711283e-15, - "011001100011": 3.015180421669861e-17, - "011001100100": 4.54937823302742e-15, - "011001100101": 2.8851579028893e-17, - "011001100110": 2.977110598183336e-17, - "011001100111": 4.737598514456486e-15, - "011001101000": 4.549784103470676e-15, - "011001101001": 2.8851591896800504e-17, - "011001101010": 2.770999247215285e-17, - "011001101011": 4.409222043203224e-15, - "011001101100": 2.937196854099463e-17, - "011001101101": 4.409030562860204e-15, - "011001101110": 4.591693495486786e-15, - "011001101111": 2.9141335425135448e-12, - "011001110000": 4.751218544178915e-15, - "011001110001": 3.0128921161125444e-17, - "011001110010": 2.935718303270849e-17, - "011001110011": 4.737592541343286e-15, - "011001110100": 2.89608194476454e-17, - "011001110101": 4.409408772302891e-15, - "011001110110": 4.591693493895282e-15, - "011001110111": 2.9141335619599418e-12, - "011001111000": 3.023322646204253e-17, - "011001111001": 4.737803368596152e-15, - "011001111010": 4.59208314891754e-15, - "011001111011": 2.9141335514018303e-12, - "011001111100": 4.802886125819347e-15, - "011001111101": 2.9142522136384195e-12, - "011001111110": 3.0343860395684395e-12, - "011001111111": 1.920095670740526e-09, - "011010000000": 1.8441585803532422e-09, - "011010000001": 2.9143814886754863e-12, - "011010000010": 2.79899854665832e-12, - "011010000011": 4.612236993329957e-15, - "011010000100": 2.798884578023211e-12, - "011010000101": 4.409801294161561e-15, - "011010000110": 4.5499831453951145e-15, - "011010000111": 2.929738919448752e-17, - "011010001000": 2.798884588233239e-12, - "011010001001": 4.409415810983537e-15, - "011010001010": 4.234599488399027e-15, - "011010001011": 2.8064364931573894e-17, - "011010001100": 4.5497803376043615e-15, - "011010001101": 2.8445876130629317e-17, - "011010001110": 2.8936819920948274e-17, - "011010001111": 4.604840984282884e-15, - "011010010000": 2.7988845702100116e-12, - "011010010001": 4.4094158092887975e-15, - "011010010010": 4.234226706167716e-15, - "011010010011": 2.846735866918413e-17, - "011010010100": 4.2344180022348385e-15, - "011010010101": 2.685414126596106e-17, - "011010010110": 2.771003408516791e-17, - "011010010111": 4.409611671792126e-15, - "011010011000": 4.5497840997935476e-15, - "011010011001": 2.8851591896800504e-17, - "011010011010": 2.771001855811273e-17, - "011010011011": 4.4092261978593715e-15, - "011010011100": 2.8960827306211036e-17, - "011010011101": 4.409412925236309e-15, - "011010011110": 4.5920842407584924e-15, - "011010011111": 2.914260912243832e-12, - "011010100000": 2.799004254317603e-12, - "011010100001": 4.409798194200857e-15, - "011010100010": 4.2345994903837184e-15, - "011010100011": 2.806434614765575e-17, - "011010100100": 4.234418006060076e-15, - "011010100101": 2.685414126608777e-17, - "011010100110": 2.7710007998926854e-17, - "011010100111": 4.409607517119871e-15, - "011010101000": 4.234791790843221e-15, - "011010101001": 2.6854127962577592e-17, - "011010101010": 2.5791564165481876e-17, - "011010101011": 4.1039611743200125e-15, - "011010101100": 2.7338481587249987e-17, - "011010101101": 4.103782947052288e-15, - "011010101110": 4.273799692814944e-15, - "011010101111": 2.7123811849122746e-12, - "011010110000": 4.550187068536804e-15, - "011010110001": 2.8445866029444096e-17, - "011010110010": 2.7710014559797457e-17, - "011010110011": 4.409222041444603e-15, - "011010110100": 2.7338503526017773e-17, - "011010110101": 4.10378294525771e-15, - "011010110110": 4.273445978727287e-15, - "011010110111": 2.71226519301952e-12, - "011010111000": 2.854750457786641e-17, - "011010111001": 4.409411652651859e-15, - "011010111010": 4.273802700134351e-15, - "011010111011": 2.7122652034073417e-12, - "011010111100": 4.4699959727150955e-15, - "011010111101": 2.7123756445986117e-12, - "011010111110": 2.8241875199669134e-12, - "011010111111": 1.7870863709962551e-09, - "011011000000": 3.0073303741053627e-12, - "011011000001": 4.7382177216635455e-15, - "011011000010": 4.549983158446177e-15, - "011011000011": 2.972200046956635e-17, - "011011000100": 4.549783323343103e-15, - "011011000101": 2.84458761463285e-17, - "011011000110": 2.934776794066102e-17, - "011011000111": 4.604439771325807e-15, - "011011001000": 4.549787087306128e-15, - "011011001001": 2.88516108178408e-17, - "011011001010": 2.7710014645826135e-17, - "011011001011": 4.409226197800828e-15, - "011011001100": 2.9371968541165617e-17, - "011011001101": 4.409030562801667e-15, - "011011001110": 4.591693491998657e-15, - "011011001111": 2.9141335413639406e-12, - "011011010000": 4.550190052261047e-15, - "011011010001": 2.8445884911001274e-17, - "011011010010": 2.771003673383902e-17, - "011011010011": 4.409226196100746e-15, - "011011010100": 2.7338499639846213e-17, - "011011010101": 4.103782948819368e-15, - "011011010110": 4.273445978727287e-15, - "011011010111": 2.712265193019711e-12, - "011011011000": 2.89557620844432e-17, - "011011011001": 4.409033445037144e-15, - "011011011010": 4.273448987962676e-15, - "011011011011": 2.7121492006875457e-12, - "011011011100": 4.469617402515522e-15, - "011011011101": 2.7122596573639247e-12, - "011011011110": 2.8240667302561655e-12, - "011011011111": 1.7870098392799074e-09, - "011011100000": 4.751641087411267e-15, - "011011100001": 2.969928023038302e-17, - "011011100010": 2.8936822644185254e-17, - "011011100011": 4.604433857757435e-15, - "011011100100": 2.8960838349817306e-17, - "011011100101": 4.40941292717653e-15, - "011011100110": 4.591693493895282e-15, - "011011100111": 2.9141335608102096e-12, - "011011101000": 2.854751955710451e-17, - "011011101001": 4.409415810983539e-15, - "011011101010": 4.273802703809534e-15, - "011011101011": 2.7122652034074285e-12, - "011011101100": 4.469617405956528e-15, - "011011101101": 2.7122596573638205e-12, - "011011101110": 2.82406675275251e-12, - "011011101111": 1.7870098459253209e-09, - "011011110000": 2.9801862183862626e-17, - "011011110001": 4.604637708666864e-15, - "011011110010": 4.5920861574901806e-15, - "011011110011": 2.9141335514036906e-12, - "011011110100": 4.469998958729667e-15, - "011011110101": 2.712375645789934e-12, - "011011110110": 2.8240667313750578e-12, - "011011110111": 1.7870098459259872e-09, - "011011111000": 4.666781851574589e-15, - "011011111001": 2.9142541124886477e-12, - "011011111010": 2.8241895007472123e-12, - "011011111011": 1.7870098401297471e-09, - "011011111100": 2.9538278330149856e-12, - "011011111101": 1.7870826139521352e-09, - "011011111110": 1.860752133383849e-09, - "011011111111": 1.1774494563827142e-06, - "011100000000": 1.9258036418981183e-09, - "011100000001": 3.0434077232618614e-12, - "011100000010": 2.922916520098057e-12, - "011100000011": 4.8164372087172636e-15, - "011100000100": 2.9227975057437695e-12, - "011100000101": 4.605039013556097e-15, - "011100000110": 4.7514251139274214e-15, - "011100000111": 3.059086228891115e-17, - "011100001000": 2.9227975153401442e-12, - "011100001001": 4.604637708666861e-15, - "011100001010": 4.422079679060387e-15, - "011100001011": 2.9300895361441925e-17, - "011100001100": 4.7512145765820914e-15, - "011100001101": 2.9699271152647023e-17, - "011100001110": 3.0213937470423536e-17, - "011100001111": 4.806747196812246e-15, - "011100010000": 2.9227975164586415e-12, - "011100010001": 4.6046306137851636e-15, - "011100010010": 4.4216854931019055e-15, - "011100010011": 2.9727672939563913e-17, - "011100010100": 4.421885258228032e-15, - "011100010101": 2.8043034814627084e-17, - "011100010110": 2.8936819920948274e-17, - "011100010111": 4.604835152992666e-15, - "011100011000": 4.751213321988407e-15, - "011100011001": 3.0128921161125444e-17, - "011100011010": 2.8936807699374724e-17, - "011100011011": 4.604433857765373e-15, - "011100011100": 3.0242992758434755e-17, - "011100011101": 4.604628851940448e-15, - "011100011110": 4.795387491087516e-15, - "011100011111": 3.0432826548165425e-12, - "011100100000": 2.922797498803203e-12, - "011100100001": 4.604637710599143e-15, - "011100100010": 4.421685496782916e-15, - "011100100011": 2.972767293986937e-17, - "011100100100": 4.421495889872297e-15, - "011100100101": 2.844587594272443e-17, - "011100100110": 2.93571955020688e-17, - "011100100111": 4.738007030173446e-15, - "011100101000": 4.421888997810897e-15, - "011100101001": 2.8445866029444096e-17, - "011100101010": 2.7324716182167072e-17, - "011100101011": 4.409601960935071e-15, - "011100101100": 2.896082344676228e-17, - "011100101101": 4.4094129234815306e-15, - "011100101110": 4.5920754772888605e-15, - "011100101111": 2.914260931494833e-12, - "011100110000": 4.751217252568067e-15, - "011100110001": 3.012891707223708e-17, - "011100110010": 2.9357179146901147e-17, - "011100110011": 4.737592543132365e-15, - "011100110100": 2.8960819396080367e-17, - "011100110101": 4.40940877054961e-15, - "011100110110": 4.591693491998657e-15, - "011100110111": 2.914133560766644e-12, - "011100111000": 3.0241511831329694e-17, - "011100111001": 4.737796197000523e-15, - "011100111010": 4.592074382041318e-15, - "011100111011": 2.9141335706535894e-12, - "011100111100": 4.80287804419488e-15, - "011100111101": 2.91425223193515e-12, - "011100111110": 3.034386060034191e-12, - "011100111111": 1.9200956763618097e-09, - "011101000000": 2.9229244444760265e-12, - "011101000001": 4.605038870564425e-15, - "011101000010": 4.4220826524201375e-15, - "011101000011": 2.9300895437196447e-17, - "011101000100": 4.4218882333546224e-15, - "011101000101": 2.804305365706531e-17, - "011101000110": 2.893681611553747e-17, - "011101000111": 4.6048351529076105e-15, - "011101001000": 4.421891969285685e-15, - "011101001001": 2.8445884911001274e-17, - "011101001010": 2.7324738337263925e-17, - "011101001011": 4.409606115521998e-15, - "011101001100": 2.8960819638763416e-17, - "011101001101": 4.409412926853642e-15, - "011101001110": 4.5920754772888605e-15, - "011101001111": 2.9142609314950725e-12, - "011101010000": 4.422282218003798e-15, - "011101010001": 2.8043039737314936e-17, - "011101010010": 2.732473436664662e-17, - "011101010011": 4.409601962608594e-15, - "011101010100": 2.6955789839215244e-17, - "011101010101": 4.104134977283786e-15, - "011101010110": 4.273799692814944e-15, - "011101010111": 2.712381202972098e-12, - "011101011000": 2.85475007461531e-17, - "011101011001": 4.409411654329229e-15, - "011101011010": 4.273802698511828e-15, - "011101011011": 2.7122652023326087e-12, - "011101011100": 4.469987314463856e-15, - "011101011101": 2.7123756637334137e-12, - "011101011110": 2.824187540375757e-12, - "011101011111": 1.7870863769340775e-09, - "011101100000": 4.751639795654156e-15, - "011101100001": 2.969927617084112e-17, - "011101100010": 2.893681878715321e-17, - "011101100011": 4.604433859606823e-15, - "011101100100": 2.8960834490084086e-17, - "011101100101": 4.4094129288539e-15, - "011101100110": 4.591693495486786e-15, - "011101100111": 2.914133560766757e-12, - "011101101000": 2.8547519506209404e-17, - "011101101001": 4.4094158092888e-15, - "011101101010": 4.273802702187012e-15, - "011101101011": 2.7122652023325053e-12, - "011101101100": 4.469617404169495e-15, - "011101101101": 2.712259656289114e-12, - "011101101110": 2.824066751633488e-12, - "011101101111": 1.7870098452172268e-09, - "011101110000": 2.9810082457090473e-17, - "011101110001": 4.604630613785167e-15, - "011101110010": 4.592077394075421e-15, - "011101110011": 2.9141335718052955e-12, - "011101110100": 4.469990300452682e-15, - "011101110101": 2.7123756649245444e-12, - "011101110110": 2.82406675275251e-12, - "011101110111": 1.787009851861893e-09, - "011101111000": 4.666773876172123e-15, - "011101111001": 2.914254131935305e-12, - "011101111010": 2.8241895211558716e-12, - "011101111011": 1.7870098460669898e-09, - "011101111100": 2.9538278542661106e-12, - "011101111101": 1.7870826198897222e-09, - "011101111110": 1.8607521395652182e-09, - "011101111111": 1.1774494603030989e-06, - "011110000000": 3.0510891072691586e-12, - "011110000001": 4.8069598069090075e-15, - "011110000010": 4.615981314967655e-15, - "011110000011": 3.0588298468529646e-17, - "011110000100": 4.615779597978163e-15, - "011110000101": 2.9272688041801455e-17, - "011110000110": 3.020564037364006e-17, - "011110000111": 4.8067484191591734e-15, - "011110001000": 4.615778363030088e-15, - "011110001001": 2.969928023038302e-17, - "011110001010": 2.852668926615163e-17, - "011110001011": 4.6048363377817815e-15, - "011110001100": 3.023468579657005e-17, - "011110001101": 4.60463594864127e-15, - "011110001110": 4.795387491087516e-15, - "011110001111": 3.0432826537719758e-12, - "011110010000": 4.61578224707169e-15, - "011110010001": 2.9699276170841125e-17, - "011110010010": 2.894410157712142e-17, - "011110010011": 4.738008234115978e-15, - "011110010100": 2.855051809005149e-17, - "011110010101": 4.409795310195571e-15, - "011110010110": 4.5920842407584924e-15, - "011110010111": 2.9142609304972463e-12, - "011110011000": 3.023322232356997e-17, - "011110011001": 4.7378033704690314e-15, - "011110011010": 4.5920831471000594e-15, - "011110011011": 2.9141335502086457e-12, - "011110011100": 4.802878044300189e-15, - "011110011101": 2.914252231935262e-12, - "011110011110": 3.034386059196712e-12, - "011110011111": 1.920095676363477e-09, - "011110100000": 4.616192681838641e-15, - "011110100001": 2.9272692981138187e-17, - "011110100010": 2.8526704143175554e-17, - "011110100011": 4.6048363397087336e-15, - "011110100100": 2.855053694646616e-17, - "011110100101": 4.409799465085779e-15, - "011110100110": 4.592084244245697e-15, - "011110100111": 2.9142609304971183e-12, - "011110101000": 2.814012356160882e-17, - "011110101001": 4.409798194200858e-15, - "011110101010": 4.274162374846559e-15, - "011110101011": 2.712381193144727e-12, - "011110101100": 4.469995974446381e-15, - "011110101101": 2.7123756435238573e-12, - "011110101110": 2.824187540375757e-12, - "011110101111": 1.787086376935567e-09, - "011110110000": 2.980185807469449e-17, - "011110110001": 4.604637710599147e-15, - "011110110010": 4.592086159159905e-15, - "011110110011": 2.914133551360111e-12, - "011110110100": 4.469998957020855e-15, - "011110110101": 2.7123756447150915e-12, - "011110110110": 2.8240667302561655e-12, - "011110110111": 1.7870098452179688e-09, - "011110111000": 4.6667738762760425e-15, - "011110111001": 2.914254131935177e-12, - "011110111010": 2.8241895211560013e-12, - "011110111011": 1.7870098460670655e-09, - "011110111100": 2.953827853440464e-12, - "011110111101": 1.787082619891134e-09, - "011110111110": 1.86075213956662e-09, - "011110111111": 1.1774494603035889e-06, - "011111000000": 4.81942818804845e-15, - "011111000001": 3.0561471840806976e-17, - "011111000010": 2.9780029792071686e-17, - "011111000011": 4.806748476489156e-15, - "011111000100": 2.9808895204160326e-17, - "011111000101": 4.605037110697385e-15, - "011111000110": 4.795395581452351e-15, - "011111000111": 3.043282653705261e-12, - "011111001000": 2.9807417413847435e-17, - "011111001001": 4.7382177216635494e-15, - "011111001010": 4.592470263991356e-15, - "011111001011": 2.914260920887911e-12, - "011111001100": 4.8028861276413904e-15, - "011111001101": 2.9142522124450956e-12, - "011111001110": 3.034386060034191e-12, - "011111001111": 1.9200956763635658e-09, - "011111010000": 2.937907126433327e-17, - "011111010001": 4.605038870564427e-15, - "011111010010": 4.592473272413417e-15, - "011111010011": 2.9142609220395362e-12, - "011111010100": 4.470373945672172e-15, - "011111010101": 2.7124916413053233e-12, - "011111010110": 2.8241875199669134e-12, - "011111010111": 1.7870863769348945e-09, - "011111011000": 4.6667818533708896e-15, - "011111011001": 2.9142541124450874e-12, - "011111011010": 2.8241894996280575e-12, - "011111011011": 1.7870098394217268e-09, - "011111011100": 2.9538278542659854e-12, - "011111011101": 1.7870826198897973e-09, - "011111011110": 1.86075213956662e-09, - "011111011111": 1.1774494603035889e-06, - "011111100000": 3.067262558665337e-17, - "011111100001": 4.806959806909004e-15, - "011111100010": 4.795800333180611e-15, - "011111100011": 3.0432826450047183e-12, - "011111100100": 4.803292578834662e-15, - "011111100101": 2.9143795898558557e-12, - "011111100110": 3.0343860395684395e-12, - "011111100111": 1.9200956763626716e-09, - "011111101000": 4.667176388843254e-15, - "011111101001": 2.9143814886754887e-12, - "011111101010": 2.8243102980217498e-12, - "011111101011": 1.7870863711382512e-09, - "011111101100": 2.9538278330263897e-12, - "011111101101": 1.7870826132440227e-09, - "011111101110": 1.8607521395652182e-09, - "011111101111": 1.1774494603035889e-06, - "011111110000": 4.87266518134979e-15, - "011111110001": 3.0434077232618614e-12, - "011111110010": 3.0345199447283447e-12, - "011111110011": 1.920095670893446e-09, - "011111110100": 2.9539561461125434e-12, - "011111110101": 1.7871591488620501e-09, - "011111110110": 1.860752133383849e-09, - "011111110111": 1.1774494603030934e-06, - "011111111000": 3.083998165763412e-12, - "011111111001": 1.920175115620544e-09, - "011111111010": 1.8608331276067874e-09, - "011111111011": 1.1774494564838324e-06, - "011111111100": 1.9462506693526586e-09, - "011111111101": 1.1774974066874709e-06, - "011111111110": 1.2260377849438215e-06, - "011111111111": 0.0007758139789672013, - "100000000000": 0.000775813978967199, - "100000000001": 1.2260377849438188e-06, - "100000000010": 1.1774974066874698e-06, - "100000000011": 1.946250669352657e-09, - "100000000100": 1.1774494564838316e-06, - "100000000101": 1.8608331276067861e-09, - "100000000110": 1.9201751156205436e-09, - "100000000111": 3.083998165763412e-12, - "100000001000": 1.1774494603030923e-06, - "100000001001": 1.8607521333838484e-09, - "100000001010": 1.7871591488620501e-09, - "100000001011": 2.9539561461125426e-12, - "100000001100": 1.9200956708934448e-09, - "100000001101": 3.034519944728344e-12, - "100000001110": 3.0434077232618606e-12, - "100000001111": 4.87266518134979e-15, - "100000010000": 1.1774494603035878e-06, - "100000010001": 1.8607521395652176e-09, - "100000010010": 1.7870826132440244e-09, - "100000010011": 2.9538278330263897e-12, - "100000010100": 1.7870863711382518e-09, - "100000010101": 2.824310298021749e-12, - "100000010110": 2.9143814886754863e-12, - "100000010111": 4.667176388843254e-15, - "100000011000": 1.9200956763626703e-09, - "100000011001": 3.034386039568438e-12, - "100000011010": 2.914379589855854e-12, - "100000011011": 4.803292578834662e-15, - "100000011100": 3.0432826450047183e-12, - "100000011101": 4.795800333180611e-15, - "100000011110": 4.806959806909006e-15, - "100000011111": 3.0672625586653363e-17, - "100000100000": 1.1774494603035878e-06, - "100000100001": 1.8607521395666194e-09, - "100000100010": 1.787082619889798e-09, - "100000100011": 2.9538278542659838e-12, - "100000100100": 1.7870098394217287e-09, - "100000100101": 2.8241894996280575e-12, - "100000100110": 2.9142541124450854e-12, - "100000100111": 4.6667818533708896e-15, - "100000101000": 1.7870863769348951e-09, - "100000101001": 2.824187519966914e-12, - "100000101010": 2.7124916413053233e-12, - "100000101011": 4.470373945672172e-15, - "100000101100": 2.914260922039535e-12, - "100000101101": 4.592473272413417e-15, - "100000101110": 4.605038870564425e-15, - "100000101111": 2.9379071264333255e-17, - "100000110000": 1.9200956763635645e-09, - "100000110001": 3.0343860600341905e-12, - "100000110010": 2.9142522124450956e-12, - "100000110011": 4.8028861276413904e-15, - "100000110100": 2.9142609208879094e-12, - "100000110101": 4.592470263991358e-15, - "100000110110": 4.7382177216635455e-15, - "100000110111": 2.980741741384742e-17, - "100000111000": 3.0432826537052593e-12, - "100000111001": 4.795395581452351e-15, - "100000111010": 4.605037110697383e-15, - "100000111011": 2.98088952041603e-17, - "100000111100": 4.806748476489159e-15, - "100000111101": 2.9780029792071674e-17, - "100000111110": 3.056147184080697e-17, - "100000111111": 4.81942818804845e-15, - "100001000000": 1.1774494603035878e-06, - "100001000001": 1.8607521395666194e-09, - "100001000010": 1.7870826198911344e-09, - "100001000011": 2.953827853440463e-12, - "100001000100": 1.7870098460670661e-09, - "100001000101": 2.8241895211560004e-12, - "100001000110": 2.914254131935175e-12, - "100001000111": 4.6667738762760425e-15, - "100001001000": 1.7870098452179694e-09, - "100001001001": 2.8240667302561655e-12, - "100001001010": 2.7123756447150915e-12, - "100001001011": 4.469998957020855e-15, - "100001001100": 2.9141335513601093e-12, - "100001001101": 4.592086159159903e-15, - "100001001110": 4.604637710599142e-15, - "100001001111": 2.980185807469449e-17, - "100001010000": 1.7870863769355676e-09, - "100001010001": 2.824187540375757e-12, - "100001010010": 2.7123756435238565e-12, - "100001010011": 4.469995974446381e-15, - "100001010100": 2.7123811931447266e-12, - "100001010101": 4.274162374846559e-15, - "100001010110": 4.409798194200857e-15, - "100001010111": 2.814012356160882e-17, - "100001011000": 2.914260930497117e-12, - "100001011001": 4.5920842442456954e-15, - "100001011010": 4.409799465085778e-15, - "100001011011": 2.855053694646616e-17, - "100001011100": 4.604836339708732e-15, - "100001011101": 2.852670414317556e-17, - "100001011110": 2.927269298113818e-17, - "100001011111": 4.616192681838641e-15, - "100001100000": 1.9200956763634756e-09, - "100001100001": 3.0343860591967113e-12, - "100001100010": 2.9142522319352613e-12, - "100001100011": 4.802878044300189e-15, - "100001100100": 2.914133550208644e-12, - "100001100101": 4.592083147100061e-15, - "100001100110": 4.737803370469028e-15, - "100001100111": 3.0233222323569976e-17, - "100001101000": 2.9142609304972447e-12, - "100001101001": 4.592084240758491e-15, - "100001101010": 4.409795310195571e-15, - "100001101011": 2.855051809005149e-17, - "100001101100": 4.738008234115974e-15, - "100001101101": 2.894410157712142e-17, - "100001101110": 2.969927617084112e-17, - "100001101111": 4.61578224707169e-15, - "100001110000": 3.0432826537719737e-12, - "100001110001": 4.795387491087516e-15, - "100001110010": 4.604635948641267e-15, - "100001110011": 3.023468579657003e-17, - "100001110100": 4.6048363377817815e-15, - "100001110101": 2.852668926615165e-17, - "100001110110": 2.9699280230383013e-17, - "100001110111": 4.6157783630300894e-15, - "100001111000": 4.806748419159179e-15, - "100001111001": 3.020564037364007e-17, - "100001111010": 2.9272688041801455e-17, - "100001111011": 4.615779597978166e-15, - "100001111100": 3.0588298468529634e-17, - "100001111101": 4.615981314967657e-15, - "100001111110": 4.806959806909006e-15, - "100001111111": 3.05108910726916e-12, - "100010000000": 1.177449460303098e-06, - "100010000001": 1.8607521395652176e-09, - "100010000010": 1.7870826198897228e-09, - "100010000011": 2.9538278542661106e-12, - "100010000100": 1.7870098460669905e-09, - "100010000101": 2.8241895211558708e-12, - "100010000110": 2.9142541319353036e-12, - "100010000111": 4.666773876172123e-15, - "100010001000": 1.7870098518618934e-09, - "100010001001": 2.82406675275251e-12, - "100010001010": 2.7123756649245444e-12, - "100010001011": 4.469990300452684e-15, - "100010001100": 2.914133571805293e-12, - "100010001101": 4.592077394075419e-15, - "100010001110": 4.6046306137851636e-15, - "100010001111": 2.9810082457090473e-17, - "100010010000": 1.7870098452172274e-09, - "100010010001": 2.824066751633489e-12, - "100010010010": 2.712259656289114e-12, - "100010010011": 4.469617404169495e-15, - "100010010100": 2.7122652023325053e-12, - "100010010101": 4.273802702187012e-15, - "100010010110": 4.4094158092887975e-15, - "100010010111": 2.85475195062094e-17, - "100010011000": 2.9141335607667556e-12, - "100010011001": 4.591693495486786e-15, - "100010011010": 4.4094129288539e-15, - "100010011011": 2.8960834490084086e-17, - "100010011100": 4.6044338596068205e-15, - "100010011101": 2.893681878715321e-17, - "100010011110": 2.9699276170841125e-17, - "100010011111": 4.751639795654156e-15, - "100010100000": 1.787086376934078e-09, - "100010100001": 2.824187540375757e-12, - "100010100010": 2.7123756637334133e-12, - "100010100011": 4.469987314463856e-15, - "100010100100": 2.7122652023326087e-12, - "100010100101": 4.273802698511828e-15, - "100010100110": 4.409411654329225e-15, - "100010100111": 2.8547500746153094e-17, - "100010101000": 2.712381202972098e-12, - "100010101001": 4.273799692814944e-15, - "100010101010": 4.1041349772837845e-15, - "100010101011": 2.6955789839215253e-17, - "100010101100": 4.409601962608594e-15, - "100010101101": 2.732473436664662e-17, - "100010101110": 2.8043039737314936e-17, - "100010101111": 4.422282218003796e-15, - "100010110000": 2.914260931495071e-12, - "100010110001": 4.5920754772888605e-15, - "100010110010": 4.4094129268536396e-15, - "100010110011": 2.8960819638763416e-17, - "100010110100": 4.409606115521996e-15, - "100010110101": 2.7324738337263925e-17, - "100010110110": 2.844588491100127e-17, - "100010110111": 4.421891969285683e-15, - "100010111000": 4.604835152907609e-15, - "100010111001": 2.893681611553747e-17, - "100010111010": 2.804305365706531e-17, - "100010111011": 4.421888233354621e-15, - "100010111100": 2.9300895437196447e-17, - "100010111101": 4.422082652420136e-15, - "100010111110": 4.605038870564427e-15, - "100010111111": 2.9229244444760285e-12, - "100011000000": 1.9200956763618092e-09, - "100011000001": 3.0343860600341905e-12, - "100011000010": 2.9142522319351478e-12, - "100011000011": 4.80287804419488e-15, - "100011000100": 2.914133570653588e-12, - "100011000101": 4.592074382041319e-15, - "100011000110": 4.73779619700052e-15, - "100011000111": 3.024151183132969e-17, - "100011001000": 2.9141335607666437e-12, - "100011001001": 4.591693491998657e-15, - "100011001010": 4.40940877054961e-15, - "100011001011": 2.8960819396080354e-17, - "100011001100": 4.737592543132363e-15, - "100011001101": 2.9357179146901147e-17, - "100011001110": 3.012891707223709e-17, - "100011001111": 4.751217252568067e-15, - "100011010000": 2.914260931494831e-12, - "100011010001": 4.592075477288862e-15, - "100011010010": 4.409412923481529e-15, - "100011010011": 2.896082344676228e-17, - "100011010100": 4.409601960935069e-15, - "100011010101": 2.7324716182167063e-17, - "100011010110": 2.8445866029444084e-17, - "100011010111": 4.421888997810895e-15, - "100011011000": 4.738007030173442e-15, - "100011011001": 2.93571955020688e-17, - "100011011010": 2.844587594272443e-17, - "100011011011": 4.421495889872295e-15, - "100011011100": 2.972767293986937e-17, - "100011011101": 4.421685496782914e-15, - "100011011110": 4.604637710599143e-15, - "100011011111": 2.922797498803206e-12, - "100011100000": 3.0432826548165413e-12, - "100011100001": 4.795387491087516e-15, - "100011100010": 4.604628851940444e-15, - "100011100011": 3.024299275843473e-17, - "100011100100": 4.6044338577653715e-15, - "100011100101": 2.893680769937472e-17, - "100011100110": 3.0128921161125444e-17, - "100011100111": 4.751213321988407e-15, - "100011101000": 4.604835152992665e-15, - "100011101001": 2.8936819920948274e-17, - "100011101010": 2.8043034814627084e-17, - "100011101011": 4.4218852582280305e-15, - "100011101100": 2.9727672939563913e-17, - "100011101101": 4.421685493101904e-15, - "100011101110": 4.604630613785165e-15, - "100011101111": 2.9227975164586423e-12, - "100011110000": 4.806747196812249e-15, - "100011110001": 3.0213937470423536e-17, - "100011110010": 2.9699271152647023e-17, - "100011110011": 4.7512145765820914e-15, - "100011110100": 2.9300895361441925e-17, - "100011110101": 4.422079679060383e-15, - "100011110110": 4.604637708666864e-15, - "100011110111": 2.922797515340145e-12, - "100011111000": 3.0590862288911145e-17, - "100011111001": 4.751425113927425e-15, - "100011111010": 4.6050390135560995e-15, - "100011111011": 2.9227975057437707e-12, - "100011111100": 4.8164372087172636e-15, - "100011111101": 2.9229165200980573e-12, - "100011111110": 3.0434077232618606e-12, - "100011111111": 1.9258036418981187e-09, - "100100000000": 1.1774494563827134e-06, - "100100000001": 1.8607521333838484e-09, - "100100000010": 1.7870826139521358e-09, - "100100000011": 2.953827833014985e-12, - "100100000100": 1.7870098401297478e-09, - "100100000101": 2.8241895007472123e-12, - "100100000110": 2.9142541124886464e-12, - "100100000111": 4.666781851574589e-15, - "100100001000": 1.7870098459259878e-09, - "100100001001": 2.8240667313750578e-12, - "100100001010": 2.712375645789934e-12, - "100100001011": 4.469998958729667e-15, - "100100001100": 2.914133551403689e-12, - "100100001101": 4.592086157490179e-15, - "100100001110": 4.604637708666861e-15, - "100100001111": 2.9801862183862626e-17, - "100100010000": 1.7870098459253221e-09, - "100100010001": 2.82406675275251e-12, - "100100010010": 2.7122596573638205e-12, - "100100010011": 4.469617405956528e-15, - "100100010100": 2.7122652034074277e-12, - "100100010101": 4.2738027038095376e-15, - "100100010110": 4.409415810983537e-15, - "100100010111": 2.854751955710449e-17, - "100100011000": 2.914133560810207e-12, - "100100011001": 4.5916934938952804e-15, - "100100011010": 4.40941292717653e-15, - "100100011011": 2.8960838349817306e-17, - "100100011100": 4.604433857757432e-15, - "100100011101": 2.8936822644185254e-17, - "100100011110": 2.9699280230383026e-17, - "100100011111": 4.751641087411268e-15, - "100100100000": 1.787009839279908e-09, - "100100100001": 2.8240667302561655e-12, - "100100100010": 2.7122596573639247e-12, - "100100100011": 4.469617402515522e-15, - "100100100100": 2.712149200687545e-12, - "100100100101": 4.2734489879626786e-15, - "100100100110": 4.409033445037143e-15, - "100100100111": 2.8955762084443185e-17, - "100100101000": 2.7122651930197097e-12, - "100100101001": 4.273445978727287e-15, - "100100101010": 4.103782948819368e-15, - "100100101011": 2.7338499639846213e-17, - "100100101100": 4.409226196100746e-15, - "100100101101": 2.771003673383902e-17, - "100100101110": 2.844588491100127e-17, - "100100101111": 4.550190052261046e-15, - "100100110000": 2.914133541363939e-12, - "100100110001": 4.591693491998655e-15, - "100100110010": 4.409030562801665e-15, - "100100110011": 2.9371968541165617e-17, - "100100110100": 4.409226197800828e-15, - "100100110101": 2.7710014645826135e-17, - "100100110110": 2.8851610817840786e-17, - "100100110111": 4.549787087306128e-15, - "100100111000": 4.604439771325806e-15, - "100100111001": 2.934776794066102e-17, - "100100111010": 2.844587614632849e-17, - "100100111011": 4.5497833233431015e-15, - "100100111100": 2.972200046956635e-17, - "100100111101": 4.549983158446175e-15, - "100100111110": 4.7382177216635494e-15, - "100100111111": 3.0073303741053663e-12, - "100101000000": 1.7870863709962555e-09, - "100101000001": 2.824187519966914e-12, - "100101000010": 2.712375644598611e-12, - "100101000011": 4.469995972715097e-15, - "100101000100": 2.7122652034073413e-12, - "100101000101": 4.273802700134351e-15, - "100101000110": 4.4094116526518574e-15, - "100101000111": 2.854750457786641e-17, - "100101001000": 2.7122651930195195e-12, - "100101001001": 4.273445978727287e-15, - "100101001010": 4.10378294525771e-15, - "100101001011": 2.7338503526017773e-17, - "100101001100": 4.4092220414446014e-15, - "100101001101": 2.7710014559797457e-17, - "100101001110": 2.8445866029444084e-17, - "100101001111": 4.550187068536804e-15, - "100101010000": 2.7123811849122746e-12, - "100101010001": 4.273799692814944e-15, - "100101010010": 4.103782947052288e-15, - "100101010011": 2.7338481587249978e-17, - "100101010100": 4.103961174320011e-15, - "100101010101": 2.5791564165481885e-17, - "100101010110": 2.6854127962577592e-17, - "100101010111": 4.234791790843221e-15, - "100101011000": 4.409607517119871e-15, - "100101011001": 2.7710007998926854e-17, - "100101011010": 2.685414126608777e-17, - "100101011011": 4.234418006060076e-15, - "100101011100": 2.806434614765575e-17, - "100101011101": 4.2345994903837184e-15, - "100101011110": 4.409798194200858e-15, - "100101011111": 2.799004254317603e-12, - "100101100000": 2.9142609122438295e-12, - "100101100001": 4.592084240758491e-15, - "100101100010": 4.4094129252363075e-15, - "100101100011": 2.8960827306211036e-17, - "100101100100": 4.4092261978593675e-15, - "100101100101": 2.771001855811273e-17, - "100101100110": 2.8851591896800504e-17, - "100101100111": 4.549784099793546e-15, - "100101101000": 4.409611671792126e-15, - "100101101001": 2.77100340851679e-17, - "100101101010": 2.6854141265961076e-17, - "100101101011": 4.2344180022348385e-15, - "100101101100": 2.846735866918412e-17, - "100101101101": 4.234226706167716e-15, - "100101101110": 4.4094158092888e-15, - "100101101111": 2.7988845702100125e-12, - "100101110000": 4.604840984282882e-15, - "100101110001": 2.8936819920948274e-17, - "100101110010": 2.84458761306293e-17, - "100101110011": 4.549780337604359e-15, - "100101110100": 2.806436493157389e-17, - "100101110101": 4.234599488399027e-15, - "100101110110": 4.409415810983537e-15, - "100101110111": 2.798884588233239e-12, - "100101111000": 2.929738919448752e-17, - "100101111001": 4.549983145395113e-15, - "100101111010": 4.409801294161563e-15, - "100101111011": 2.798884578023211e-12, - "100101111100": 4.612236993329957e-15, - "100101111101": 2.79899854665832e-12, - "100101111110": 2.914381488675487e-12, - "100101111111": 1.8441585803532422e-09, - "100110000000": 1.9200956707405247e-09, - "100110000001": 3.034386039568438e-12, - "100110000010": 2.914252213638418e-12, - "100110000011": 4.802886125819345e-15, - "100110000100": 2.9141335514018287e-12, - "100110000101": 4.592083148917541e-15, - "100110000110": 4.737803368596148e-15, - "100110000111": 3.023322646204253e-17, - "100110001000": 2.91413356195994e-12, - "100110001001": 4.591693493895282e-15, - "100110001010": 4.4094087723028895e-15, - "100110001011": 2.89608194476454e-17, - "100110001100": 4.7375925413432835e-15, - "100110001101": 2.93571830327085e-17, - "100110001110": 3.0128921161125444e-17, - "100110001111": 4.751218544178917e-15, - "100110010000": 2.9141335425135436e-12, - "100110010001": 4.591693495486786e-15, - "100110010010": 4.409030562860204e-15, - "100110010011": 2.9371968540994625e-17, - "100110010100": 4.4092220432032225e-15, - "100110010101": 2.770999247215284e-17, - "100110010110": 2.88515918968005e-17, - "100110010111": 4.549784103470673e-15, - "100110011000": 4.737598514456484e-15, - "100110011001": 2.977110598183335e-17, - "100110011010": 2.8851579028893e-17, - "100110011011": 4.549378233027418e-15, - "100110011100": 3.015180421669861e-17, - "100110011101": 4.5495732127112815e-15, - "100110011110": 4.7378033704690314e-15, - "100110011111": 3.0071969762232388e-12, - "100110100000": 2.914260913393707e-12, - "100110100001": 4.5920842442456954e-15, - "100110100010": 4.409412928666956e-15, - "100110100011": 2.89608234980415e-17, - "100110100100": 4.409226197917908e-15, - "100110100101": 2.771001855830571e-17, - "100110100110": 2.885159189658538e-17, - "100110100111": 4.5497840997362905e-15, - "100110101000": 4.409607520609149e-15, - "100110101001": 2.7710007998926854e-17, - "100110101010": 2.6854115985218824e-17, - "100110101011": 4.234414015892008e-15, - "100110101100": 2.8467335962149915e-17, - "100110101101": 4.234222716233338e-15, - "100110101110": 4.4094116543292265e-15, - "100110101111": 2.7988819340884557e-12, - "100110110000": 4.738012919543106e-15, - "100110110001": 2.93571955020688e-17, - "100110110010": 2.8851597934070866e-17, - "100110110011": 4.5493782310376464e-15, - "100110110100": 2.8467354785678786e-17, - "100110110101": 4.2342227180738856e-15, - "100110110110": 4.409033445037147e-15, - "100110110111": 2.7987622590399364e-12, - "100110111000": 2.972415065024935e-17, - "100110111001": 4.549576183412089e-15, - "100110111010": 4.409414758071998e-15, - "100110111011": 2.7987622680450684e-12, - "100110111100": 4.61183405232919e-15, - "100110111101": 2.79887623048652e-12, - "100110111110": 2.9142541124450874e-12, - "100110111111": 1.8440778676661334e-09, - "100111000000": 3.0432826359567074e-12, - "100111000001": 4.795395581452351e-15, - "100111000010": 4.604635950522557e-15, - "100111000011": 3.0234689934921243e-17, - "100111000100": 4.604433859644053e-15, - "100111000101": 2.893680775099672e-17, - "100111000110": 3.012892525056884e-17, - "100111000111": 4.751214613599233e-15, - "100111001000": 4.60443977513893e-15, - "100111001001": 2.934776794066102e-17, - "100111001010": 2.8445857264795617e-17, - "100111001011": 4.549780335800944e-15, - "100111001100": 3.015180421694594e-17, - "100111001101": 4.549573208975349e-15, - "100111001110": 4.737796197000526e-15, - "100111001111": 3.0071969931151635e-12, - "100111010000": 4.6048409880098506e-15, - "100111010001": 2.893681611553749e-17, - "100111010010": 2.844587613077846e-17, - "100111010011": 4.549780337547106e-15, - "100111010100": 2.806434229276308e-17, - "100111010101": 4.234595498511824e-15, - "100111010110": 4.409411652651859e-15, - "100111010111": 2.7988819510445253e-12, - "100111011000": 2.9724150650800285e-17, - "100111011001": 4.549576183412089e-15, - "100111011010": 4.409414754699891e-15, - "100111011011": 2.798762266977996e-12, - "100111011100": 4.611826965118321e-15, - "100111011101": 2.79887624862989e-12, - "100111011110": 2.914254131935176e-12, - "100111011111": 1.8440778738211994e-09, - "100111100000": 4.806753283064599e-15, - "100111100001": 3.020564037364005e-17, - "100111100010": 2.9699271144645194e-17, - "100111100011": 4.751215868278889e-15, - "100111100100": 2.9721996323987274e-17, - "100111100101": 4.549980172757866e-15, - "100111100110": 4.737803368596153e-15, - "100111100111": 3.0071969919794607e-12, - "100111101000": 2.9297385157918526e-17, - "100111101001": 4.549983145395113e-15, - "100111101010": 4.4097971393029575e-15, - "100111101011": 2.798881940834638e-12, - "100111101100": 4.6118340524158115e-15, - "100111101101": 2.7988762294195336e-12, - "100111101110": 2.9142541319353036e-12, - "100111101111": 1.8440778738228794e-09, - "100111110000": 3.058727826815101e-17, - "100111110001": 4.751425113927425e-15, - "100111110010": 4.7382165850185845e-15, - "100111110011": 3.007196983296688e-12, - "100111110100": 4.6122357248192634e-15, - "100111110101": 2.7989959105916274e-12, - "100111110110": 2.914254112488647e-12, - "100111110111": 1.8440778738221776e-09, - "100111111000": 4.815280207854099e-15, - "100111111001": 3.0073213940138637e-12, - "100111111010": 2.9143807867016003e-12, - "100111111011": 1.8440778678407084e-09, - "100111111100": 3.048159154730013e-12, - "100111111101": 1.8441529656907948e-09, - "100111111110": 1.920175115620544e-09, - "100111111111": 1.2150512189292708e-06, - "101000000000": 1.177500707951364e-06, - "101000000001": 1.8608331276067861e-09, - "101000000010": 1.7871604015362173e-09, - "101000000011": 2.953956245873169e-12, - "101000000100": 1.7870876245462852e-09, - "101000000101": 2.8243122776446844e-12, - "101000000110": 2.9143807867015986e-12, - "101000000111": 4.667176564816676e-15, - "101000001000": 1.7870876303428704e-09, - "101000001001": 2.8241895007472123e-12, - "101000001010": 2.712493542574738e-12, - "101000001011": 4.470377091091757e-15, - "101000001100": 2.9142602201312697e-12, - "101000001101": 4.592472176773481e-15, - "101000001110": 4.605039013556097e-15, - "101000001111": 2.937906294787449e-17, - "101000010000": 1.7870876303435429e-09, - "101000010001": 2.8241895211558708e-12, - "101000010010": 2.712377545885356e-12, - "101000010011": 4.469999123619562e-15, - "101000010100": 2.7123830943367277e-12, - "101000010101": 4.2741653822476444e-15, - "101000010110": 4.409801294161561e-15, - "101000010111": 2.81401343350271e-17, - "101000011000": 2.91426022858887e-12, - "101000011001": 4.59208314891754e-15, - "101000011010": 4.40979841018506e-15, - "101000011011": 2.8550524919621934e-17, - "101000011100": 4.604836482676776e-15, - "101000011101": 2.852669606361418e-17, - "101000011110": 2.9272688041801443e-17, - "101000011111": 4.61619094788823e-15, - "101000100000": 1.787087630342129e-09, - "101000100001": 2.8241895211560004e-12, - "101000100010": 2.7123775660948547e-12, - "101000100011": 4.4699904636902e-15, - "101000100100": 2.712267104616749e-12, - "101000100101": 4.273805709475881e-15, - "101000100110": 4.4094147580719955e-15, - "101000100111": 2.854750750186144e-17, - "101000101000": 2.7123831041642287e-12, - "101000101001": 4.273802700134351e-15, - "101000101010": 4.104137862541968e-15, - "101000101011": 2.6955800184919294e-17, - "101000101100": 4.4096050624267755e-15, - "101000101101": 2.732474491263563e-17, - "101000101110": 2.804305365706531e-17, - "101000101111": 4.4222835024357626e-15, - "101000110000": 2.914260229586696e-12, - "101000110001": 4.592074382041318e-15, - "101000110010": 4.409411872320907e-15, - "101000110011": 2.896080729858859e-17, - "101000110100": 4.409605060753254e-15, - "101000110101": 2.7324726728340733e-17, - "101000110110": 2.844587614632849e-17, - "101000110111": 4.421890286001186e-15, - "101000111000": 4.6048352959597386e-15, - "101000111001": 2.893680775099672e-17, - "101000111010": 2.8043048734463694e-17, - "101000111011": 4.421886546480487e-15, - "101000111100": 2.930089040593762e-17, - "101000111101": 4.422080965401202e-15, - "101000111110": 4.605037110697385e-15, - "101000111111": 2.922923333498917e-12, - "101001000000": 1.7870876236961753e-09, - "101001000001": 2.8241894996280575e-12, - "101001000010": 2.7123775458852696e-12, - "101001000011": 4.469999120179467e-15, - "101001000100": 2.712267104616558e-12, - "101001000101": 4.273805709475881e-15, - "101001000110": 4.40941475469989e-15, - "101001000111": 2.854751128267925e-17, - "101001001000": 2.7122670942289257e-12, - "101001001001": 4.2734489879626786e-15, - "101001001010": 4.1037858324171025e-15, - "101001001011": 2.733850999873981e-17, - "101001001100": 4.409225143320367e-15, - "101001001101": 2.7710021206824e-17, - "101001001110": 2.844587594272443e-17, - "101001001111": 4.5501870796191865e-15, - "101001010000": 2.7123830850294066e-12, - "101001010001": 4.273802698511828e-15, - "101001010010": 4.103785830650021e-15, - "101001010011": 2.7338491946328626e-17, - "101001010100": 4.1039640579069664e-15, - "101001010101": 2.579157399402722e-17, - "101001010110": 2.685414126608777e-17, - "101001010111": 4.2347930142305204e-15, - "101001011000": 4.409610615269111e-15, - "101001011001": 2.771001855830572e-17, - "101001011010": 2.685415456937242e-17, - "101001011011": 4.234419229193165e-15, - "101001011100": 2.806436002384085e-17, - "101001011101": 4.234600713597161e-15, - "101001011110": 4.409799465085779e-15, - "101001011111": 2.799005066739296e-12, - "101001100000": 2.914260210292007e-12, - "101001100001": 4.5920831471000594e-15, - "101001100010": 4.409411872380943e-15, - "101001100011": 2.8960811106301987e-17, - "101001100100": 4.409225145078989e-15, - "101001100101": 2.771000303145841e-17, - "101001100110": 2.8851579028893e-17, - "101001100111": 4.5497811310018046e-15, - "101001101000": 4.409610618699848e-15, - "101001101001": 2.771001855811271e-17, - "101001101010": 2.6854129288543104e-17, - "101001101011": 4.2344152390538915e-15, - "101001101100": 2.846734603340452e-17, - "101001101101": 4.234223943010569e-15, - "101001101110": 4.409412928853898e-15, - "101001101111": 2.7988827477054566e-12, - "101001110000": 4.6048411291823755e-15, - "101001110001": 2.893680769937472e-17, - "101001110010": 2.844586716231496e-17, - "101001110011": 4.549777365169116e-15, - "101001110100": 2.8064356168799655e-17, - "101001110101": 4.234596721754059e-15, - "101001110110": 4.409412927176531e-15, - "101001110111": 2.7988827646613323e-12, - "101001111000": 2.9297380159923454e-17, - "101001111001": 4.549980172757866e-15, - "101001111010": 4.409798410185058e-15, - "101001111011": 2.798882754451548e-12, - "101001111100": 4.612233976981671e-15, - "101001111101": 2.798996723012382e-12, - "101001111110": 2.9143795898558557e-12, - "101001111111": 1.8441573788099546e-09, - "101010000000": 1.787164159530007e-09, - "101010000001": 2.824310298021749e-12, - "101010000010": 2.7124935425776913e-12, - "101010000011": 4.470374108665591e-15, - "101010000100": 2.7123830955309168e-12, - "101010000101": 4.2741653822476444e-15, - "101010000110": 4.4097971393029575e-15, - "101010000111": 2.814011562045564e-17, - "101010001000": 2.712383105358315e-12, - "101010001001": 4.2738027038095376e-15, - "101010001010": 4.104137862573327e-15, - "101010001011": 2.6955800184838547e-17, - "101010001100": 4.409600907898843e-15, - "101010001101": 2.7324722757642988e-17, - "101010001110": 2.8043034814627084e-17, - "101010001111": 4.422280530981918e-15, - "101010010000": 2.7123830862236825e-12, - "101010010001": 4.273802702187012e-15, - "101010010010": 4.103785834243041e-15, - "101010010011": 2.733848806007663e-17, - "101010010100": 4.103964057938325e-15, - "101010010101": 2.5791573994133092e-17, - "101010010110": 2.6854141265961076e-17, - "101010010111": 4.2347930142009326e-15, - "101010011000": 4.40960646408659e-15, - "101010011001": 2.770999247215285e-17, - "101010011010": 2.6854129288543104e-17, - "101010011011": 4.234415242849545e-15, - "101010011100": 2.806433738475815e-17, - "101010011101": 4.234596723709163e-15, - "101010011110": 4.409795310195571e-15, - "101010011111": 2.7990024306482633e-12, - "101010100000": 2.712499085445441e-12, - "101010100001": 4.274162374846559e-15, - "101010100010": 4.104137864399356e-15, - "101010100011": 2.695578212327651e-17, - "101010100100": 4.103964061531432e-15, - "101010100101": 2.579157399402722e-17, - "101010100110": 2.6854115985218824e-17, - "101010100111": 4.234789024082524e-15, - "101010101000": 4.1043189840842695e-15, - "101010101001": 2.5791564165481885e-17, - "101010101010": 2.499493088375134e-17, - "101010101011": 3.941252948319191e-15, - "101010101100": 2.649646321401625e-17, - "101010101101": 3.94107489281042e-15, - "101010101110": 4.104134977283786e-15, - "101010101111": 2.605107022778968e-12, - "101010110000": 4.409989290770003e-15, - "101010110001": 2.7324716182167063e-17, - "101010110010": 2.685412543932938e-17, - "101010110011": 4.234411250987588e-15, - "101010110100": 2.6496484543420756e-17, - "101010110101": 3.941074891013016e-15, - "101010110110": 4.1037829488193695e-15, - "101010110111": 2.6049956320625935e-12, - "101010111000": 2.7666269138788992e-17, - "101010111001": 4.234595498511824e-15, - "101010111010": 4.1041378625419694e-15, - "101010111011": 2.604995640444443e-12, - "101010111100": 4.292543067165264e-15, - "101010111101": 2.6051017129274424e-12, - "101010111110": 2.7124916413053237e-12, - "101010111111": 1.7164068776878271e-09, - "101011000000": 2.9143875904322396e-12, - "101011000001": 4.592470263991356e-15, - "101011000010": 4.40979841214047e-15, - "101011000011": 2.85505100845704e-17, - "101011000100": 4.409605064708926e-15, - "101011000101": 2.7324726728340733e-17, - "101011000110": 2.844585726479563e-17, - "101011000111": 4.421887310818004e-15, - "101011001000": 4.4096106225969815e-15, - "101011001001": 2.7710014645826126e-17, - "101011001010": 2.685412928860344e-17, - "101011001011": 4.234415239024305e-15, - "101011001100": 2.8467323326822025e-17, - "101011001101": 4.2342199531025004e-15, - "101011001110": 4.40940877054961e-15, - "101011001111": 2.798880110534156e-12, - "101011010000": 4.409993445808212e-15, - "101011010001": 2.7324738337263925e-17, - "101011010010": 2.6854150720217662e-17, - "101011010011": 4.234415237274521e-15, - "101011010100": 2.6496484543606976e-17, - "101011010101": 3.941074891013016e-15, - "101011010110": 4.1037829452577115e-15, - "101011010111": 2.6049956309355817e-12, - "101011011000": 2.806641813476064e-17, - "101011011001": 4.2342227180738856e-15, - "101011011010": 4.1037858324171025e-15, - "101011011011": 2.6048842400428583e-12, - "101011011100": 4.2921683521999185e-15, - "101011011101": 2.604990325835677e-12, - "101011011110": 2.7123756447150915e-12, - "101011011111": 1.7163333720469713e-09, - "101011100000": 4.6052395599709636e-15, - "101011100001": 2.8526689266151644e-17, - "101011100010": 2.80430446798725e-17, - "101011100011": 4.42188357310091e-15, - "101011100100": 2.8064352128412604e-17, - "101011100101": 4.234596721754059e-15, - "101011100110": 4.409408772302891e-15, - "101011100111": 2.798880127490092e-12, - "101011101000": 2.766628764572146e-17, - "101011101001": 4.234599488399027e-15, - "101011101010": 4.1041378625733306e-15, - "101011101011": 2.6049956393175196e-12, - "101011101100": 4.2921683555843e-15, - "101011101101": 2.604990325835765e-12, - "101011101110": 2.7123756649245444e-12, - "101011101111": 1.7163333784309527e-09, - "101011110000": 2.8881880203512735e-17, - "101011110001": 4.422079679060386e-15, - "101011110010": 4.40979714412805e-15, - "101011110011": 2.7988801183863537e-12, - "101011110100": 4.292545930994058e-15, - "101011110101": 2.605101712944582e-12, - "101011110110": 2.712375645789934e-12, - "101011110111": 1.7163333784317236e-09, - "101011111000": 4.48151675958281e-15, - "101011111001": 2.7989959105916274e-12, - "101011111010": 2.712493542574739e-12, - "101011111011": 1.7163333728646887e-09, - "101011111100": 2.837004711672445e-12, - "101011111101": 1.7164032684742202e-09, - "101011111110": 1.7871591488620507e-09, - "101011111111": 1.1308811809635266e-06, - "101100000000": 1.9201805060964705e-09, - "101100000001": 3.0345199447283447e-12, - "101100000010": 2.914380797152445e-12, - "101100000011": 4.803292761494345e-15, - "101100000100": 2.9142621294355345e-12, - "101100000101": 4.592472176773481e-15, - "101100000110": 4.738216585018581e-15, - "101100000111": 2.98074090546203e-17, - "101100001000": 2.9142621390447854e-12, - "101100001001": 4.592086157490179e-15, - "101100001010": 4.40979714412805e-15, - "101100001011": 2.855052493289824e-17, - "101100001100": 4.738007097560575e-15, - "101100001101": 2.894408942313645e-17, - "101100001110": 2.9699271152647023e-17, - "101100001111": 4.615780511098918e-15, - "101100010000": 2.9142621400424836e-12, - "101100010001": 4.592077394075419e-15, - "101100010010": 4.4094147612816236e-15, - "101100010011": 2.8960826213813674e-17, - "101100010100": 4.409603794780648e-15, - "101100010101": 2.7324722757642988e-17, - "101100010110": 2.84458761306293e-17, - "101100010111": 4.4218902840237275e-15, - "101100011000": 4.738005893703228e-15, - "101100011001": 2.93571830327085e-17, - "101100011010": 2.844586716231497e-17, - "101100011011": 4.421494204702848e-15, - "101100011100": 2.9727667829149254e-17, - "101100011101": 4.421683807878272e-15, - "101100011110": 4.604635948641271e-15, - "101100011111": 2.922796386571095e-12, - "101100100000": 2.914262120747981e-12, - "101100100001": 4.592086159159903e-15, - "101100100010": 4.4094147647137665e-15, - "101100100011": 2.896082621352786e-17, - "101100100100": 4.409228033847261e-15, - "101100100101": 2.7710021206823995e-17, - "101100100110": 2.8851597934070866e-17, - "101100100111": 4.549784112743573e-15, - "101100101000": 4.409609352726584e-15, - "101100101001": 2.7710014559797457e-17, - "101100101010": 2.685412543932938e-17, - "101100101011": 4.2344152409723475e-15, - "101100101100": 2.846734601774918e-17, - "101100101101": 4.234223941140437e-15, - "101100101110": 4.409412926853642e-15, - "101100101111": 2.7988827464567257e-12, - "101100110000": 4.738011784859623e-15, - "101100110001": 2.9357179146901147e-17, - "101100110010": 2.8851585050693596e-17, - "101100110011": 4.549375260447035e-15, - "101100110100": 2.846734213445782e-17, - "101100110101": 4.2342199531025004e-15, - "101100110110": 4.409030562801665e-15, - "101100110111": 2.7987604354014976e-12, - "101100111000": 2.972414150703148e-17, - "101100111001": 4.549573208975349e-15, - "101100111010": 4.409411872320907e-15, - "101100111011": 2.7987604433395517e-12, - "101100111100": 4.6118310340292645e-15, - "101100111101": 2.798874405706918e-12, - "101100111110": 2.9142522124450956e-12, - "101100111111": 1.8440766653758339e-09, - "101101000000": 2.9143894997050275e-12, - "101101000001": 4.592473272413417e-15, - "101101000010": 4.409801300942448e-15, - "101101000011": 2.855052895434203e-17, - "101101000100": 4.409607953292022e-15, - "101101000101": 2.732474491263563e-17, - "101101000110": 2.844587613077846e-17, - "101101000111": 4.421890280344242e-15, - "101101001000": 4.409613507834008e-15, - "101101001001": 2.771003673383902e-17, - "101101001010": 2.6854150720217662e-17, - "101101001011": 4.234419227286384e-15, - "101101001100": 2.846734601811205e-17, - "101101001101": 4.234223941140437e-15, - "101101001110": 4.4094129234815306e-15, - "101101001111": 2.798882745389622e-12, - "101101010000": 4.409992179718721e-15, - "101101010001": 2.732473436664662e-17, - "101101010010": 2.685414687112955e-17, - "101101010011": 4.234415239222566e-15, - "101101010100": 2.649648072007894e-17, - "101101010101": 3.94107489281042e-15, - "101101010110": 4.103782947052288e-15, - "101101010111": 2.6049956309185054e-12, - "101101011000": 2.806641811932297e-17, - "101101011001": 4.234222716233338e-15, - "101101011010": 4.1037858306500225e-15, - "101101011011": 2.604884238898651e-12, - "101101011100": 4.2921683502824185e-15, - "101101011101": 2.6049903246916123e-12, - "101101011110": 2.7123756435238573e-12, - "101101011111": 1.7163333712931678e-09, - "101101100000": 4.738423362406266e-15, - "101101100001": 2.894410157712142e-17, - "101101100010": 2.84458819605367e-17, - "101101100011": 4.421494202797761e-15, - "101101100100": 2.846736077209575e-17, - "101101100101": 4.234223943010569e-15, - "101101100110": 4.409030562860204e-15, - "101101100111": 2.798760434334537e-12, - "101101101000": 2.806643666481188e-17, - "101101101001": 4.234226706167716e-15, - "101101101010": 4.103785834243041e-15, - "101101101011": 2.60488423889874e-12, - "101101101100": 4.291797770096445e-15, - "101101101101": 2.6048789278400013e-12, - "101101101110": 2.712259656289115e-12, - "101101101111": 1.7162598695419095e-09, - "101101110000": 2.9305647132175826e-17, - "101101110001": 4.421685493101904e-15, - "101101110010": 4.4094147612816236e-15, - "101101110011": 2.7987604433785815e-12, - "101101110100": 4.2921712175628295e-15, - "101101110101": 2.604990325835765e-12, - "101101110110": 2.7122596573638205e-12, - "101101110111": 1.7162598759246578e-09, - "101101111000": 4.4811266826425634e-15, - "101101111001": 2.7988762294195336e-12, - "101101111010": 2.712377545885357e-12, - "101101111011": 1.716259870359298e-09, - "101101111100": 2.8368833901637133e-12, - "101101111101": 1.71632976297576e-09, - "101101111110": 1.7870826132440244e-09, - "101101111111": 1.1308327507298782e-06, - "101110000000": 3.0434160862388385e-12, - "101110000001": 4.795800333180611e-15, - "101110000010": 4.605039016293223e-15, - "101110000011": 2.980888680217069e-17, - "101110000100": 4.604838245361984e-15, - "101110000101": 2.8526696063614196e-17, - "101110000110": 2.969927114464519e-17, - "101110000111": 4.6157766270870176e-15, - "101110001000": 4.604837060572164e-15, - "101110001001": 2.893682264418527e-17, - "101110001010": 2.8043044679872494e-17, - "101110001011": 4.421886544504644e-15, - "101110001100": 2.9727663759690275e-17, - "101110001101": 4.421683807878272e-15, - "101110001110": 4.604628851940448e-15, - "101110001111": 2.9227964042265904e-12, - "101110010000": 4.604842893737098e-15, - "101110010001": 2.8936818787153224e-17, - "101110010010": 2.84458819605367e-17, - "101110010011": 4.549780350619224e-15, - "101110010100": 2.806435211282811e-17, - "101110010101": 4.234596723709163e-15, - "101110010110": 4.4094129252363075e-15, - "101110010111": 2.798882763412687e-12, - "101110011000": 2.972413743761296e-17, - "101110011001": 4.5495732127112815e-15, - "101110011010": 4.409411872380943e-15, - "101110011011": 2.798760443339636e-12, - "101110011100": 4.6118239469320025e-15, - "101110011101": 2.7988744238501247e-12, - "101110011110": 2.914252231935262e-12, - "101110011111": 1.844076671530959e-09, - "101110100000": 4.6052413206376824e-15, - "101110100001": 2.852670414317556e-17, - "101110100010": 2.8043059467660273e-17, - "101110100011": 4.421886546280565e-15, - "101110100100": 2.806437071134041e-17, - "101110100101": 4.234600713597161e-15, - "101110100110": 4.409412928666958e-15, - "101110100111": 2.7988827634128005e-12, - "101110101000": 2.7666283618443632e-17, - "101110101001": 4.2345994903837184e-15, - "101110101010": 4.1041378643993574e-15, - "101110101011": 2.6049956393003536e-12, - "101110101100": 4.29216835372617e-15, - "101110101101": 2.6049903246916123e-12, - "101110101110": 2.7123756637334145e-12, - "101110101111": 1.716333377677209e-09, - "101110110000": 2.9305643091348837e-17, - "101110110001": 4.421685496782916e-15, - "101110110010": 4.4094147647137665e-15, - "101110110011": 2.79876044444574e-12, - "101110110100": 4.2921712176222e-15, - "101110110101": 2.604990325835677e-12, - "101110110110": 2.712259657363925e-12, - "101110110111": 1.7162598759247174e-09, - "101110111000": 4.481119687505981e-15, - "101110111001": 2.79887624862989e-12, - "101110111010": 2.7123775660948547e-12, - "101110111011": 1.7162598767413337e-09, - "101110111100": 2.8368834103583558e-12, - "101110111101": 1.7163297693594992e-09, - "101110111110": 1.787082619889798e-09, - "101110111111": 1.1308327549431772e-06, - "101111000000": 4.8071711580271024e-15, - "101111000001": 2.9780029792071686e-17, - "101111000010": 2.927269413331202e-17, - "101111000011": 4.615777863943208e-15, - "101111000100": 2.9300901445733087e-17, - "101111000101": 4.422080965401202e-15, - "101111000110": 4.60463595052256e-15, - "101111000111": 2.9227964031079833e-12, - "101111001000": 2.929739121964429e-17, - "101111001001": 4.549983158446175e-15, - "101111001010": 4.409798412140472e-15, - "101111001011": 2.798882753202817e-12, - "101111001100": 4.611831037847873e-15, - "101111001101": 2.798874405706918e-12, - "101111001110": 2.91425223193515e-12, - "101111001111": 1.8440766715326387e-09, - "101111010000": 2.888189523374286e-17, - "101111010001": 4.4220826524201375e-15, - "101111010010": 4.409801300942448e-15, - "101111010011": 2.798882754308837e-12, - "101111010100": 4.292545932920532e-15, - "101111010101": 2.6051017129274424e-12, - "101111010110": 2.7123756445986125e-12, - "101111010111": 1.7163333776779787e-09, - "101111011000": 4.4811266863210305e-15, - "101111011001": 2.79887623048652e-12, - "101111011010": 2.7123775458852696e-12, - "101111011011": 1.716259870359358e-09, - "101111011100": 2.8368834103581183e-12, - "101111011101": 1.7163297693594992e-09, - "101111011110": 1.787082619891135e-09, - "101111011111": 1.1308327549435996e-06, - "101111100000": 3.0153505217928345e-17, - "101111100001": 4.615981314967657e-15, - "101111100010": 4.6050390162932244e-15, - "101111100011": 2.922796394719308e-12, - "101111100100": 4.6122357244951694e-15, - "101111100101": 2.798996723012382e-12, - "101111100110": 2.9142522136384195e-12, - "101111100111": 1.8440766715318617e-09, - "101111101000": 4.481519745881083e-15, - "101111101001": 2.79899854665832e-12, - "101111101010": 2.7124935425776925e-12, - "101111101011": 1.7163333721108852e-09, - "101111101100": 2.8368833912985328e-12, - "101111101101": 1.71632976297576e-09, - "101111101110": 1.7870826198897228e-09, - "101111101111": 1.1308327549435996e-06, - "101111110000": 4.678834346738301e-15, - "101111110001": 2.9229165200980573e-12, - "101111110010": 2.9143807971524465e-12, - "101111110011": 1.8440766662791391e-09, - "101111110100": 2.8370066043852656e-12, - "101111110101": 1.7164032684742202e-09, - "101111110110": 1.7870826139521362e-09, - "101111110111": 1.130832754943124e-06, - "101111111000": 2.9619001540646208e-12, - "101111111001": 1.844152965690796e-09, - "101111111010": 1.7871604015362177e-09, - "101111111011": 1.130832751275072e-06, - "101111111100": 1.8691961552761965e-09, - "101111111101": 1.1308788030698264e-06, - "101111111110": 1.1774974066874709e-06, - "101111111111": 0.0007450985275679202, - "110000000000": 1.231551344934405e-06, - "110000000001": 1.9462506693526558e-09, - "110000000010": 1.869196155276194e-09, - "110000000011": 3.089551241068973e-12, - "110000000100": 1.869120037615104e-09, - "110000000101": 2.953956245873169e-12, - "110000000110": 3.0481591547300123e-12, - "110000000111": 4.8814266880790416e-15, - "110000001000": 1.869120043677767e-09, - "110000001001": 2.953827833014985e-12, - "110000001010": 2.8370047116724434e-12, - "110000001011": 4.675592985297906e-15, - "110000001100": 3.0480330538051754e-12, - "110000001101": 4.803292761494345e-15, - "110000001110": 4.816437208717261e-15, - "110000001111": 3.069944183455474e-17, - "110000010000": 1.8691200436785624e-09, - "110000010001": 2.9538278542661106e-12, - "110000010010": 2.836883390163712e-12, - "110000010011": 4.67519791436249e-15, - "110000010100": 2.836889193462024e-12, - "110000010101": 4.470374108665591e-15, - "110000010110": 4.612236993329957e-15, - "110000010111": 2.9404766425303036e-17, - "110000011000": 3.0480330625739063e-12, - "110000011001": 4.802886125819345e-15, - "110000011010": 4.612233976981671e-15, - "110000011011": 2.9833798854030147e-17, - "110000011100": 4.8162254474490524e-15, - "110000011101": 2.980888680217069e-17, - "110000011110": 3.0588298468529646e-17, - "110000011111": 4.819215987235581e-15, - "110000100000": 1.869120043678475e-09, - "110000100001": 2.953827853440463e-12, - "110000100010": 2.836883410358355e-12, - "110000100011": 4.675189929470412e-15, - "110000100100": 2.836767878380633e-12, - "110000100101": 4.469999120179467e-15, - "110000100110": 4.61183405232919e-15, - "110000100111": 2.982772461508014e-17, - "110000101000": 2.836889202818592e-12, - "110000101001": 4.469995972715097e-15, - "110000101010": 4.292543067165264e-15, - "110000101011": 2.8164841690015435e-17, - "110000101100": 4.612032900244678e-15, - "110000101101": 2.855052895434203e-17, - "110000101110": 2.9300895437196447e-17, - "110000101111": 4.615989437737021e-15, - "110000110000": 3.0480330626406094e-12, - "110000110001": 4.80287804419488e-15, - "110000110010": 4.611831034029262e-15, - "110000110011": 3.025977900597811e-17, - "110000110100": 4.612032898398038e-15, - "110000110101": 2.855051008457038e-17, - "110000110110": 2.972200046956635e-17, - "110000110111": 4.615578820265516e-15, - "110000111000": 4.816225390032439e-15, - "110000111001": 3.023468993492125e-17, - "110000111010": 2.930089040593762e-17, - "110000111011": 4.6155749139228555e-15, - "110000111100": 3.06151358841895e-17, - "110000111101": 4.6157778639432094e-15, - "110000111110": 4.806748476489159e-15, - "110000111111": 3.050963731928078e-12, - "110001000000": 1.8691200436769184e-09, - "110001000001": 2.9538278542659838e-12, - "110001000010": 2.8368834103581175e-12, - "110001000011": 4.675189929470412e-15, - "110001000100": 2.8367678995165996e-12, - "110001000101": 4.469990463690201e-15, - "110001000110": 4.611826965118319e-15, - "110001000111": 2.9835954391535673e-17, - "110001001000": 2.836767888672539e-12, - "110001001001": 4.469617402515522e-15, - "110001001010": 4.29216835219992e-15, - "110001001011": 2.8572403826964524e-17, - "110001001100": 4.611628637746575e-15, - "110001001101": 2.896082621352786e-17, - "110001001110": 2.972767293986939e-17, - "110001001111": 4.751430759873395e-15, - "110001010000": 2.8368892038022686e-12, - "110001010001": 4.469987314463856e-15, - "110001010010": 4.29216835028242e-15, - "110001010011": 2.857238503901663e-17, - "110001010100": 4.292354679619554e-15, - "110001010101": 2.695578212327651e-17, - "110001010110": 2.806434614765575e-17, - "110001010111": 4.422087481828323e-15, - "110001011000": 4.6120317124557956e-15, - "110001011001": 2.89608234980415e-17, - "110001011010": 2.806436002384085e-17, - "110001011011": 4.421697043950635e-15, - "110001011100": 2.9329110167601136e-17, - "110001011101": 4.421886546280564e-15, - "110001011110": 4.6048363397087336e-15, - "110001011111": 2.9228043186111176e-12, - "110001100000": 3.0480330636866868e-12, - "110001100001": 4.802878044300189e-15, - "110001100010": 4.6118239469320025e-15, - "110001100011": 3.0268073723046914e-17, - "110001100100": 4.611628635985356e-15, - "110001100101": 2.896081110630198e-17, - "110001100110": 3.015180421669863e-17, - "110001100111": 4.751008031652106e-15, - "110001101000": 4.6120317125407725e-15, - "110001101001": 2.8960827306211036e-17, - "110001101010": 2.806433738475814e-17, - "110001101011": 4.421694072593767e-15, - "110001101100": 2.975040196835051e-17, - "110001101101": 4.421494202797758e-15, - "110001101110": 4.604433859606823e-15, - "110001101111": 2.9226773783302408e-12, - "110001110000": 4.816224166624743e-15, - "110001110001": 3.024299275843472e-17, - "110001110010": 2.972766782914927e-17, - "110001110011": 4.751004079904301e-15, - "110001110100": 2.93291100917196e-17, - "110001110101": 4.42188357310091e-15, - "110001110110": 4.604433857757435e-15, - "110001110111": 2.9226773959951525e-12, - "110001111000": 3.0617700692432687e-17, - "110001111001": 4.751215868278889e-15, - "110001111010": 4.604836482676778e-15, - "110001111011": 2.9226773853332657e-12, - "110001111100": 4.816225447449056e-15, - "110001111101": 2.922796394719308e-12, - "110001111110": 3.0432826450047175e-12, - "110001111111": 1.9257244870359945e-09, - "110010000000": 1.8691200374747032e-09, - "110010000001": 2.9538278330263897e-12, - "110010000010": 2.8368833912985308e-12, - "110010000011": 4.67519791436249e-15, - "110010000100": 2.836767879515298e-12, - "110010000101": 4.469999123619562e-15, - "110010000110": 4.6118340524158115e-15, - "110010000111": 2.9827724614815976e-17, - "110010001000": 2.8367678898074403e-12, - "110010001001": 4.469617405956528e-15, - "110010001010": 4.2921683555843e-15, - "110010001011": 2.857240004442172e-17, - "110010001100": 4.611628637833195e-15, - "110010001101": 2.8960826213813674e-17, - "110010001110": 2.9727672939563913e-17, - "110010001111": 4.751430759787594e-15, - "110010010000": 2.836767869656098e-12, - "110010010001": 4.4696174041694974e-15, - "110010010010": 4.291797770096445e-15, - "110010010011": 2.898080588971309e-17, - "110010010100": 4.291986508688408e-15, - "110010010101": 2.733848806007663e-17, - "110010010110": 2.846735866918412e-17, - "110010010111": 4.5499886344193446e-15, - "110010011000": 4.611634540802989e-15, - "110010011001": 2.937196854099463e-17, - "110010011010": 2.8467346033404514e-17, - "110010011011": 4.549585477243641e-15, - "110010011100": 2.975040196835051e-17, - "110010011101": 4.549780350619224e-15, - "110010011110": 4.73800823411598e-15, - "110010011111": 3.0072059628166415e-12, - "110010100000": 2.8368891849356973e-12, - "110010100001": 4.469995974446381e-15, - "110010100010": 4.29216835372617e-15, - "110010100011": 2.857238503901663e-17, - "110010100100": 4.291986508746303e-15, - "110010100101": 2.7338491946328635e-17, - "110010100110": 2.8467335962149915e-17, - "110010100111": 4.5499856508136465e-15, - "110010101000": 4.292360175769686e-15, - "110010101001": 2.7338481587249987e-17, - "110010101010": 2.649646321401625e-17, - "110010101011": 4.234604138832111e-15, - "110010101100": 2.808566656993696e-17, - "110010101101": 4.234415239222566e-15, - "110010101110": 4.409601962608594e-15, - "110010101111": 2.798888461508639e-12, - "110010110000": 4.612037534942399e-15, - "110010110001": 2.896082344676229e-17, - "110010110010": 2.8467346017749175e-17, - "110010110011": 4.549582491657953e-15, - "110010110100": 2.808568915281706e-17, - "110010110101": 4.234415237274521e-15, - "110010110110": 4.409226196100747e-15, - "110010110111": 2.798768782531246e-12, - "110010111000": 2.932559740069455e-17, - "110010111001": 4.549780337547106e-15, - "110010111010": 4.4096050624267755e-15, - "110010111011": 2.7987687914221596e-12, - "110010111100": 4.61203290024468e-15, - "110010111101": 2.798882754308837e-12, - "110010111110": 2.9142609220395362e-12, - "110010111111": 1.8440822806862846e-09, - "110011000000": 3.0480330447733996e-12, - "110011000001": 4.8028861276413904e-15, - "110011000010": 4.611831037847871e-15, - "110011000011": 3.025977900597811e-17, - "110011000100": 4.611628639718545e-15, - "110011000101": 2.8960807298588585e-17, - "110011000110": 3.015180421694596e-17, - "110011000111": 4.751008031566313e-15, - "110011001000": 4.611634544534534e-15, - "110011001001": 2.9371968541165617e-17, - "110011001010": 2.846732332682202e-17, - "110011001011": 4.5495824935836164e-15, - "110011001100": 3.017470641153657e-17, - "110011001101": 4.549375260447035e-15, - "110011001110": 4.737592543132365e-15, - "110011001111": 3.0070725706676584e-12, - "110011010000": 4.612037538587859e-15, - "110011010001": 2.8960819638763416e-17, - "110011010010": 2.8467346018112045e-17, - "110011010011": 4.549582491657953e-15, - "110011010100": 2.808566271309603e-17, - "110011010101": 4.234411250987588e-15, - "110011010110": 4.4092220414446014e-15, - "110011010111": 2.7987661465538775e-12, - "110011011000": 2.9746890524841765e-17, - "110011011001": 4.5493782310376464e-15, - "110011011010": 4.409225143320369e-15, - "110011011011": 2.798646467495452e-12, - "110011011100": 4.611628637746578e-15, - "110011011101": 2.79876044444574e-12, - "110011011110": 2.914133551360111e-12, - "110011011111": 1.8440015713615503e-09, - "110011100000": 4.816230261549683e-15, - "110011100001": 3.023468579657001e-17, - "110011100010": 2.9727663759690275e-17, - "110011100011": 4.751004079904301e-15, - "110011100100": 2.9750397821034654e-17, - "110011100101": 4.549777365169116e-15, - "110011100110": 4.7375925413432874e-15, - "110011100111": 3.007072587569079e-12, - "110011101000": 2.9325593362515177e-17, - "110011101001": 4.549780337604359e-15, - "110011101010": 4.409600907898845e-15, - "110011101011": 2.798766154377604e-12, - "110011101100": 4.611628637833195e-15, - "110011101101": 2.7987604433785815e-12, - "110011101110": 2.9141335718052955e-12, - "110011101111": 1.8440015775163592e-09, - "110011110000": 3.061410971156547e-17, - "110011110001": 4.751214576582093e-15, - "110011110010": 4.738007097560579e-15, - "110011110011": 3.0070725778042835e-12, - "110011110100": 4.612031631846438e-15, - "110011110101": 2.7988801183863537e-12, - "110011110110": 2.9141335514036906e-12, - "110011110111": 1.8440015775172584e-09, - "110011111000": 4.8150671840510004e-15, - "110011111001": 3.007196983296688e-12, - "110011111010": 2.9142602201312705e-12, - "110011111011": 1.8440015715361218e-09, - "110011111100": 3.048033053805177e-12, - "110011111101": 1.844076666279138e-09, - "110011111110": 1.920095670893446e-09, - "110011111111": 1.2150009477853206e-06, - "110100000000": 1.8692013328106522e-09, - "110100000001": 2.9539561461125426e-12, - "110100000010": 2.837006604385264e-12, - "110100000011": 4.675592985297906e-15, - "110100000100": 2.836891087343697e-12, - "110100000101": 4.470377091091759e-15, - "110100000110": 4.6122357248192634e-15, - "110100000111": 2.940476643702189e-17, - "110100001000": 2.8368910967001656e-12, - "110100001001": 4.469998958729667e-15, - "110100001010": 4.292545930994058e-15, - "110100001011": 2.8164860432182184e-17, - "110100001100": 4.612031631846438e-15, - "110100001101": 2.8550524932898235e-17, - "110100001110": 2.9300895361441925e-17, - "110100001111": 4.6159894358285875e-15, - "110100010000": 2.836891097684078e-12, - "110100010001": 4.469990300452684e-15, - "110100010010": 4.2921712175628295e-15, - "110100010011": 2.8572400044421726e-17, - "110100010100": 4.292357543231712e-15, - "110100010101": 2.6955800184838556e-17, - "110100010110": 2.8064364931573894e-17, - "110100010111": 4.422090451295475e-15, - "110100011000": 4.612030444057728e-15, - "110100011001": 2.896081944764541e-17, - "110100011010": 2.8064356168799674e-17, - "110100011011": 4.421697045792232e-15, - "110100011100": 2.9329110091719607e-17, - "110100011101": 4.421886544504644e-15, - "110100011110": 4.604836337781783e-15, - "110100011111": 2.922804317403442e-12, - "110100100000": 2.8368910776825228e-12, - "110100100001": 4.469998957020856e-15, - "110100100010": 4.292171217622198e-15, - "110100100011": 2.857240382696453e-17, - "110100100100": 4.291989372452128e-15, - "110100100101": 2.733850999873981e-17, - "110100100110": 2.8467354785678786e-17, - "110100100111": 4.549988632608991e-15, - "110100101000": 4.2923630360235e-15, - "110100101001": 2.7338503526017773e-17, - "110100101010": 2.6496484543420747e-17, - "110100101011": 4.23460812709297e-15, - "110100101100": 2.808568915281706e-17, - "110100101101": 4.234419227286384e-15, - "110100101110": 4.409606115521996e-15, - "110100101111": 2.7988910963668012e-12, - "110100110000": 4.612036266457396e-15, - "110100110001": 2.8960819396080367e-17, - "110100110010": 2.846734213445781e-17, - "110100110011": 4.5495824935836164e-15, - "110100110100": 2.80856852956153e-17, - "110100110101": 4.234415239024305e-15, - "110100110110": 4.409226197800829e-15, - "110100110111": 2.7987687824923083e-12, - "110100111000": 2.932559732528704e-17, - "110100111001": 4.549780335800944e-15, - "110100111010": 4.409605060753254e-15, - "110100111011": 2.7987687903159477e-12, - "110100111100": 4.612032898398038e-15, - "110100111101": 2.798882753202817e-12, - "110100111110": 2.914260920887911e-12, - "110100111111": 1.8440822799575548e-09, - "110101000000": 2.8370124018649514e-12, - "110101000001": 4.4703739456721736e-15, - "110101000010": 4.29254593292053e-15, - "110101000011": 2.816484169001545e-17, - "110101000100": 4.2923575470756846e-15, - "110101000101": 2.6955800184919294e-17, - "110101000110": 2.806434229276308e-17, - "110101000111": 4.422087479988825e-15, - "110101001000": 4.292363039809577e-15, - "110101001001": 2.7338499639846213e-17, - "110101001010": 2.649648454360697e-17, - "110101001011": 4.23460812709297e-15, - "110101001100": 2.808566271309603e-17, - "110101001101": 4.2344152409723475e-15, - "110101001110": 4.409601960935071e-15, - "110101001111": 2.7988884604025926e-12, - "110101010000": 4.292734092713007e-15, - "110101010001": 2.6955789839215253e-17, - "110101010010": 2.6496480720078932e-17, - "110101010011": 4.234604138832111e-15, - "110101010100": 2.614122227729366e-17, - "110101010101": 3.941252948319191e-15, - "110101010110": 4.103961174320014e-15, - "110101010111": 2.6050009477650715e-12, - "110101011000": 2.768744310205007e-17, - "110101011001": 4.234414015892008e-15, - "110101011010": 4.1039640579069664e-15, - "110101011011": 2.6048895532437237e-12, - "110101011100": 4.292354679619554e-15, - "110101011101": 2.6049956393003536e-12, - "110101011110": 2.712381193144727e-12, - "110101011111": 1.7163369811776493e-09, - "110101100000": 4.612436475434024e-15, - "110101100001": 2.855051809005149e-17, - "110101100010": 2.80643521128281e-17, - "110101100011": 4.421694072593767e-15, - "110101100100": 2.808568125380353e-17, - "110101100101": 4.2344152390538915e-15, - "110101100110": 4.409222043203224e-15, - "110101100111": 2.7987661454477783e-12, - "110101101000": 2.7687465380366508e-17, - "110101101001": 4.2344180022348385e-15, - "110101101010": 4.103964057938325e-15, - "110101101011": 2.60488955211668e-12, - "110101101100": 4.291986508688408e-15, - "110101101101": 2.60488423889874e-12, - "110101101110": 2.712265202332506e-12, - "110101101111": 1.7162634785299932e-09, - "110101110000": 2.89099064906916e-17, - "110101110001": 4.421885258228032e-15, - "110101110010": 4.40960379478065e-15, - "110101110011": 2.798766154377604e-12, - "110101110100": 4.292357543231714e-15, - "110101110101": 2.6049956393175196e-12, - "110101110110": 2.712265203407429e-12, - "110101110111": 1.7162634849129766e-09, - "110101111000": 4.48132119516632e-15, - "110101111001": 2.798881940834638e-12, - "110101111010": 2.7123830943367285e-12, - "110101111011": 1.7162634793475934e-09, - "110101111100": 2.836889193462024e-12, - "110101111101": 1.7163333721108852e-09, - "110101111110": 1.7870863711382525e-09, - "110101111111": 1.130835128575283e-06, - "110110000000": 3.0481674258202288e-12, - "110110000001": 4.803292578834662e-15, - "110110000010": 4.612235724495172e-15, - "110110000011": 2.9833798854030147e-17, - "110110000100": 4.61203464792418e-15, - "110110000101": 2.8550524919621934e-17, - "110110000110": 2.9721996323987274e-17, - "110110000111": 4.615578818357481e-15, - "110110001000": 4.6120334619822034e-15, - "110110001001": 2.896083834981731e-17, - "110110001010": 2.8064352128412604e-17, - "110110001011": 4.421697045792232e-15, - "110110001100": 2.9750397821034654e-17, - "110110001101": 4.421494204702848e-15, - "110110001110": 4.604433857765373e-15, - "110110001111": 2.9226773771227037e-12, - "110110010000": 4.61203928432456e-15, - "110110010001": 2.8960834490084086e-17, - "110110010010": 2.846736077209575e-17, - "110110010011": 4.549585477243641e-15, - "110110010100": 2.808568125380353e-17, - "110110010101": 4.234415242849545e-15, - "110110010110": 4.40922619785937e-15, - "110110010111": 2.798768782492392e-12, - "110110011000": 2.974688637718596e-17, - "110110011001": 4.549378233027418e-15, - "110110011010": 4.40922514507899e-15, - "110110011011": 2.7986464674563988e-12, - "110110011100": 4.611628635985357e-15, - "110110011101": 2.798760443339636e-12, - "110110011110": 2.9141335502086457e-12, - "110110011111": 1.844001570632914e-09, - "110110100000": 4.612439489552288e-15, - "110110100001": 2.8550536946466174e-17, - "110110100010": 2.80643707113404e-17, - "110110100011": 4.421697043950635e-15, - "110110100100": 2.8085703651889524e-17, - "110110100101": 4.234419229193165e-15, - "110110100110": 4.40922619791791e-15, - "110110100111": 2.7987687814252323e-12, - "110110101000": 2.7687461367031226e-17, - "110110101001": 4.234418006060076e-15, - "110110101010": 4.103964061531434e-15, - "110110101011": 2.6048895532437237e-12, - "110110101100": 4.291986508746303e-15, - "110110101101": 2.604884238898651e-12, - "110110101110": 2.712265202332609e-12, - "110110101111": 1.7162634785300527e-09, - "110110110000": 2.932823213860408e-17, - "110110110001": 4.421495889872297e-15, - "110110110010": 4.409228033847261e-15, - "110110110011": 2.798646467495452e-12, - "110110110100": 4.291989372452128e-15, - "110110110101": 2.6048842400428583e-12, - "110110110110": 2.7121492006875457e-12, - "110110110111": 1.7161899797710657e-09, - "110110111000": 4.480929817672327e-15, - "110110111001": 2.798762266977996e-12, - "110110111010": 2.7122671046167495e-12, - "110110111011": 1.7161899805876289e-09, - "110110111100": 2.836767878380633e-12, - "110110111101": 1.716259870359358e-09, - "110110111110": 1.787009839421728e-09, - "110110111111": 1.1307867008105124e-06, - "110111000000": 4.8166485959434715e-15, - "110111000001": 2.980889520416031e-17, - "110111000010": 2.9300901445733087e-17, - "110111000011": 4.6155749139228555e-15, - "110111000100": 2.932912121631477e-17, - "110111000101": 4.421886546480487e-15, - "110111000110": 4.604433859644055e-15, - "110111000111": 2.922677394787507e-12, - "110111001000": 2.932560846976516e-17, - "110111001001": 4.5497833233431015e-15, - "110111001010": 4.409605064708926e-15, - "110111001011": 2.7987687903159477e-12, - "110111001100": 4.611628639718545e-15, - "110111001101": 2.7987604433395517e-12, - "110111001110": 2.9141335706535894e-12, - "110111001111": 1.844001576787724e-09, - "110111010000": 2.890992160687056e-17, - "110111010001": 4.4218882333546224e-15, - "110111010010": 4.409607953292022e-15, - "110111010011": 2.7987687914221596e-12, - "110111010100": 4.2923575470756846e-15, - "110111010101": 2.604995640444443e-12, - "110111010110": 2.7122652034073425e-12, - "110111010111": 1.7162634849130362e-09, - "110111011000": 4.480929821266473e-15, - "110111011001": 2.7987622680450684e-12, - "110111011010": 2.7122671046165593e-12, - "110111011011": 1.7161899805876289e-09, - "110111011100": 2.8367678995165996e-12, - "110111011101": 1.7162598767413337e-09, - "110111011110": 1.7870098460670666e-09, - "110111011111": 1.1307867050236e-06, - "110111100000": 3.018016552518203e-17, - "110111100001": 4.615779597978166e-15, - "110111100010": 4.604838245361987e-15, - "110111100011": 2.9226773853332657e-12, - "110111100100": 4.61203464792418e-15, - "110111100101": 2.798882754451548e-12, - "110111100110": 2.9141335514018303e-12, - "110111100111": 1.8440015767885487e-09, - "110111101000": 4.4813241833348764e-15, - "110111101001": 2.798884578023211e-12, - "110111101010": 2.7123830955309184e-12, - "110111101011": 1.7162634793475934e-09, - "110111101100": 2.836767879515298e-12, - "110111101101": 1.716259870359298e-09, - "110111101110": 1.787009846066991e-09, - "110111101111": 1.1307867050240233e-06, - "110111110000": 4.678630227113021e-15, - "110111110001": 2.9227975057437707e-12, - "110111110010": 2.9142621294355353e-12, - "110111110011": 1.8440015715361228e-09, - "110111110100": 2.836891087343697e-12, - "110111110101": 1.7163333728646887e-09, - "110111110110": 1.7870098401297478e-09, - "110111110111": 1.130786705023546e-06, - "110111111000": 2.9617795516218993e-12, - "110111111001": 1.84407786784071e-09, - "110111111010": 1.7870876245462852e-09, - "110111111011": 1.1307867013556448e-06, - "110111111100": 1.8691200376151064e-09, - "110111111101": 1.130832751275072e-06, - "110111111110": 1.1774494564838324e-06, - "110111111111": 0.0007450681855680729, - "111000000000": 1.9514891883730447e-09, - "111000000001": 3.083998165763412e-12, - "111000000010": 2.9619001540646208e-12, - "111000000011": 4.8814266880790416e-15, - "111000000100": 2.9617795516218993e-12, - "111000000101": 4.667176564816673e-15, - "111000000110": 4.815280207854101e-15, - "111000000111": 3.0699325712197143e-17, - "111000001000": 2.9617795613143437e-12, - "111000001001": 4.666781851574588e-15, - "111000001010": 4.481516759582809e-15, - "111000001011": 2.940476643702189e-17, - "111000001100": 4.815067184051002e-15, - "111000001101": 2.980740905462029e-17, - "111000001110": 3.059086228891113e-17, - "111000001111": 4.819216011352325e-15, - "111000010000": 2.9617795613800157e-12, - "111000010001": 4.666773876172119e-15, - "111000010010": 4.481126682642562e-15, - "111000010011": 2.982772461481598e-17, - "111000010100": 4.4813211951663185e-15, - "111000010101": 2.814011562045564e-17, - "111000010110": 2.929738919448752e-17, - "111000010111": 4.615989455718279e-15, - "111000011000": 4.815067127113031e-15, - "111000011001": 3.023322646204253e-17, - "111000011010": 2.9297380159923454e-17, - "111000011011": 4.615578818357481e-15, - "111000011100": 3.061770069243267e-17, - "111000011101": 4.6157766270870176e-15, - "111000011110": 4.806748419159179e-15, - "111000011111": 3.0509637406312642e-12, - "111000100000": 2.9617795624107765e-12, - "111000100001": 4.666773876276039e-15, - "111000100010": 4.48111968750598e-15, - "111000100011": 2.9835954391535673e-17, - "111000100100": 4.4809298176723255e-15, - "111000100101": 2.8547511282679236e-17, - "111000100110": 2.972415065024935e-17, - "111000100111": 4.751430778516282e-15, - "111000101000": 4.481320026120128e-15, - "111000101001": 2.854750457786641e-17, - "111000101010": 2.7666269138788992e-17, - "111000101011": 4.422087479988825e-15, - "111000101100": 2.9325597400694563e-17, - "111000101101": 4.421890280344242e-15, - "111000101110": 4.6048351529076105e-15, - "111000101111": 2.9228043269414903e-12, - "111000110000": 4.815065903282418e-15, - "111000110001": 3.024151183132969e-17, - "111000110010": 2.972414150703148e-17, - "111000110011": 4.751008031566311e-15, - "111000110100": 2.932559732528703e-17, - "111000110101": 4.421887310818002e-15, - "111000110110": 4.604439771325807e-15, - "111000110111": 2.9226773866652265e-12, - "111000111000": 3.0620265608358265e-17, - "111000111001": 4.751214613599233e-15, - "111000111010": 4.60483529595974e-15, - "111000111011": 2.922677394787507e-12, - "111000111100": 4.816225390032443e-15, - "111000111101": 2.9227964031079833e-12, - "111000111110": 3.04328265370526e-12, - "111000111111": 1.9257244924865734e-09, - "111001000000": 2.9617795427133705e-12, - "111001000001": 4.666781853370884e-15, - "111001000010": 4.4811266863210305e-15, - "111001000011": 2.982772461508014e-17, - "111001000100": 4.480929821266473e-15, - "111001000101": 2.8547507501861436e-17, - "111001000110": 2.9724150650800285e-17, - "111001000111": 4.751430778516282e-15, - "111001001000": 4.480935650889723e-15, - "111001001001": 2.8955762084443185e-17, - "111001001010": 2.806641813476064e-17, - "111001001011": 4.549988632608991e-15, - "111001001100": 2.9746890524841765e-17, - "111001001101": 4.549784112743573e-15, - "111001001110": 4.738007030173446e-15, - "111001001111": 3.007205971440437e-12, - "111001010000": 4.481325778351922e-15, - "111001010001": 2.8547500746153094e-17, - "111001010010": 2.806641811932297e-17, - "111001010011": 4.5499856508136465e-15, - "111001010100": 2.768744310205007e-17, - "111001010101": 4.234789024082524e-15, - "111001010110": 4.409607517119871e-15, - "111001010111": 2.7988884695397157e-12, - "111001011000": 2.932210159449585e-17, - "111001011001": 4.5497840997362905e-15, - "111001011010": 4.409610615269113e-15, - "111001011011": 2.7987687814252323e-12, - "111001011100": 4.612031712455797e-15, - "111001011101": 2.7988827634128005e-12, - "111001011110": 2.9142609304971183e-12, - "111001011111": 1.8440822859390134e-09, - "111001100000": 4.815071980757049e-15, - "111001100001": 3.023322232356997e-17, - "111001100010": 2.972413743761296e-17, - "111001100011": 4.751008031652106e-15, - "111001100100": 2.974688637718595e-17, - "111001100101": 4.5497811310018046e-15, - "111001100110": 4.737598514456487e-15, - "111001100111": 3.0070725792959842e-12, - "111001101000": 2.932209755550425e-17, - "111001101001": 4.549784099793546e-15, - "111001101010": 4.40960646408659e-15, - "111001101011": 2.7987661454477783e-12, - "111001101100": 4.611634540802991e-15, - "111001101101": 2.798760434334537e-12, - "111001101110": 2.9141335607667564e-12, - "111001101111": 1.8440015766140537e-09, - "111001110000": 3.0616674400899086e-17, - "111001110001": 4.751213321988407e-15, - "111001110010": 4.738005893703231e-15, - "111001110011": 3.007072587569079e-12, - "111001110100": 4.612030444057729e-15, - "111001110101": 2.798880127490092e-12, - "111001110110": 2.9141335608102096e-12, - "111001110111": 1.8440015827680826e-09, - "111001111000": 4.8150671271130295e-15, - "111001111001": 3.0071969919794607e-12, - "111001111010": 2.9142602285888708e-12, - "111001111011": 1.8440015767885476e-09, - "111001111100": 3.0480330625739095e-12, - "111001111101": 1.8440766715318605e-09, - "111001111110": 1.9200956763626716e-09, - "111001111111": 1.2150009512462439e-06, - "111010000000": 2.9619081791305074e-12, - "111010000001": 4.667176388843251e-15, - "111010000010": 4.481519745881081e-15, - "111010000011": 2.9404766425303036e-17, - "111010000100": 4.481324183334875e-15, - "111010000101": 2.81401343350271e-17, - "111010000110": 2.9297385157918526e-17, - "111010000111": 4.615989455718279e-15, - "111010001000": 4.481323014204887e-15, - "111010001001": 2.8547519557104497e-17, - "111010001010": 2.766628764572145e-17, - "111010001011": 4.422090451295475e-15, - "111010001100": 2.9325593362515177e-17, - "111010001101": 4.4218902840237275e-15, - "111010001110": 4.604835152992669e-15, - "111010001111": 2.9228043269416e-12, - "111010010000": 4.481328762871297e-15, - "111010010001": 2.8547519506209404e-17, - "111010010010": 2.806643666481187e-17, - "111010010011": 4.5499886344193446e-15, - "111010010100": 2.76874653803665e-17, - "111010010101": 4.2347930142009326e-15, - "111010010110": 4.409611671792126e-15, - "111010010111": 2.7988911055040326e-12, - "111010011000": 2.932209755550425e-17, - "111010011001": 4.549784103470673e-15, - "111010011010": 4.409610618699848e-15, - "111010011011": 2.798768782492392e-12, - "111010011100": 4.6120317125407725e-15, - "111010011101": 2.798882763412687e-12, - "111010011110": 2.9142609304972455e-12, - "111010011111": 1.8440822859390895e-09, - "111010100000": 4.48171614535142e-15, - "111010100001": 2.814012356160882e-17, - "111010100010": 2.7666283618443632e-17, - "111010100011": 4.422087481828323e-15, - "111010100100": 2.7687461367031226e-17, - "111010100101": 4.2347930142305204e-15, - "111010100110": 4.4096075206091504e-15, - "111010100111": 2.7988884695397157e-12, - "111010101000": 2.729205564232198e-17, - "111010101001": 4.234791790843221e-15, - "111010101010": 4.104318984084271e-15, - "111010101011": 2.6050009477650715e-12, - "111010101100": 4.292360175769686e-15, - "111010101101": 2.6049956309185054e-12, - "111010101110": 2.7123812029720984e-12, - "111010101111": 1.7163369867448298e-09, - "111010110000": 2.890642261147749e-17, - "111010110001": 4.421888997810895e-15, - "111010110010": 4.409609352726585e-15, - "111010110011": 2.7987661465538775e-12, - "111010110100": 4.292363036023502e-15, - "111010110101": 2.6049956309355817e-12, - "111010110110": 2.712265193019711e-12, - "111010110111": 1.7162634840962063e-09, - "111010111000": 4.48132002612013e-15, - "111010111001": 2.7988819510445253e-12, - "111010111010": 2.7123831041642287e-12, - "111010111011": 1.7162634849130362e-09, - "111010111100": 2.836889202818592e-12, - "111010111101": 1.7163333776779787e-09, - "111010111110": 1.7870863769348951e-09, - "111010111111": 1.1308351322433822e-06, - "111011000000": 4.815491620486531e-15, - "111011000001": 2.9807417413847435e-17, - "111011000010": 2.9297391219644285e-17, - "111011000011": 4.615578820265516e-15, - "111011000100": 2.9325608469765147e-17, - "111011000101": 4.421890286001186e-15, - "111011000110": 4.6044397751389314e-15, - "111011000111": 2.9226773866652265e-12, - "111011001000": 2.932211268242822e-17, - "111011001001": 4.549787087306128e-15, - "111011001010": 4.4096106225969815e-15, - "111011001011": 2.7987687824923083e-12, - "111011001100": 4.611634544534534e-15, - "111011001101": 2.7987604354014976e-12, - "111011001110": 2.914133560766644e-12, - "111011001111": 1.8440015766141294e-09, - "111011010000": 2.8906441681794194e-17, - "111011010001": 4.421891969285685e-15, - "111011010010": 4.409613507834009e-15, - "111011010011": 2.798768782531246e-12, - "111011010100": 4.29236303980958e-15, - "111011010101": 2.6049956320625935e-12, - "111011010110": 2.7122651930195207e-12, - "111011010111": 1.7162634840962063e-09, - "111011011000": 4.4809356508897245e-15, - "111011011001": 2.7987622590399364e-12, - "111011011010": 2.712267094228927e-12, - "111011011011": 1.7161899797710657e-09, - "111011011100": 2.836767888672539e-12, - "111011011101": 1.7162598759247174e-09, - "111011011110": 1.7870098452179694e-09, - "111011011111": 1.1307867044784145e-06, - "111011100000": 3.0182712164571e-17, - "111011100001": 4.6157783630300894e-15, - "111011100010": 4.604837060572165e-15, - "111011100011": 2.9226773959951525e-12, - "111011100100": 4.612033461982201e-15, - "111011100101": 2.7988827646613323e-12, - "111011100110": 2.9141335619599418e-12, - "111011100111": 1.8440015827680839e-09, - "111011101000": 4.4813230142048884e-15, - "111011101001": 2.798884588233239e-12, - "111011101010": 2.712383105358316e-12, - "111011101011": 1.7162634849129766e-09, - "111011101100": 2.8367678898074403e-12, - "111011101101": 1.7162598759246578e-09, - "111011101110": 1.787009851861894e-09, - "111011101111": 1.1307867086915026e-06, - "111011110000": 4.678630172368898e-15, - "111011110001": 2.922797515340145e-12, - "111011110010": 2.9142621390447854e-12, - "111011110011": 1.8440015775172594e-09, - "111011110100": 2.8368910967001656e-12, - "111011110101": 1.7163333784317236e-09, - "111011110110": 1.7870098459259884e-09, - "111011110111": 1.1307867086914486e-06, - "111011111000": 2.9617795613143437e-12, - "111011111001": 1.8440778738221788e-09, - "111011111010": 1.7870876303428714e-09, - "111011111011": 1.130786705023546e-06, - "111011111100": 1.8691200436777695e-09, - "111011111101": 1.130832754943124e-06, - "111011111110": 1.1774494603030934e-06, - "111011111111": 0.0007450681879848305, - "111100000000": 3.092316567744526e-12, - "111100000001": 4.872665181349789e-15, - "111100000010": 4.678834346738301e-15, - "111100000011": 3.069944183455474e-17, - "111100000100": 4.678630227113022e-15, - "111100000101": 2.937906294787448e-17, - "111100000110": 3.058727826815101e-17, - "111100000111": 4.819216011352325e-15, - "111100001000": 4.678630172368898e-15, - "111100001001": 2.9801862183862626e-17, - "111100001010": 2.8881880203512735e-17, - "111100001011": 4.6159894358285875e-15, - "111100001100": 3.061410971156545e-17, - "111100001101": 4.61578051109892e-15, - "111100001110": 4.806747196812249e-15, - "111100001111": 3.0509637406273472e-12, - "111100010000": 4.678628966327269e-15, - "111100010001": 2.981008245709047e-17, - "111100010010": 2.9305647132175826e-17, - "111100010011": 4.751430759787594e-15, - "111100010100": 2.8909906490691597e-17, - "111100010101": 4.422280530981916e-15, - "111100010110": 4.604840984282884e-15, - "111100010111": 2.9228043269416e-12, - "111100011000": 3.0616674400899086e-17, - "111100011001": 4.751218544178917e-15, - "111100011010": 4.604841129182378e-15, - "111100011011": 2.9226773771227037e-12, - "111100011100": 4.816224166624747e-15, - "111100011101": 2.9227964042265904e-12, - "111100011110": 3.0432826537719753e-12, - "111100011111": 1.925724492487461e-09, - "111100100000": 4.678634966505021e-15, - "111100100001": 2.980185807469448e-17, - "111100100010": 2.9305643091348855e-17, - "111100100011": 4.751430759873395e-15, - "111100100100": 2.932823213860408e-17, - "111100100101": 4.5501870796191865e-15, - "111100100110": 4.7380129195431116e-15, - "111100100111": 3.007205971440437e-12, - "111100101000": 2.890642261147749e-17, - "111100101001": 4.550187068536804e-15, - "111100101010": 4.409989290770003e-15, - "111100101011": 2.7988884604025926e-12, - "111100101100": 4.612037534942399e-15, - "111100101101": 2.798882745389622e-12, - "111100101110": 2.9142609314950725e-12, - "111100101111": 1.844082285939869e-09, - "111100110000": 3.06131014534902e-17, - "111100110001": 4.751217252568067e-15, - "111100110010": 4.738011784859627e-15, - "111100110011": 3.0070725706676584e-12, - "111100110100": 4.612036266457396e-15, - "111100110101": 2.798880110534156e-12, - "111100110110": 2.9141335413639406e-12, - "111100110111": 1.8440015766141281e-09, - "111100111000": 4.815065903282418e-15, - "111100111001": 3.0071969931151635e-12, - "111100111010": 2.9142602295866974e-12, - "111100111011": 1.8440015767877223e-09, - "111100111100": 3.0480330626406115e-12, - "111100111101": 1.8440766715326374e-09, - "111100111110": 1.9200956763635658e-09, - "111100111111": 1.2150009512468046e-06, - "111101000000": 4.679042517088336e-15, - "111101000001": 2.9379071264333255e-17, - "111101000010": 2.888189523374288e-17, - "111101000011": 4.615989437737021e-15, - "111101000100": 2.890992160687056e-17, - "111101000101": 4.4222835024357626e-15, - "111101000110": 4.604840988009852e-15, - "111101000111": 2.9228043269414903e-12, - "111101001000": 2.8906441681794194e-17, - "111101001001": 4.550190052261046e-15, - "111101001010": 4.409993445808212e-15, - "111101001011": 2.7988910963668012e-12, - "111101001100": 4.612037538587859e-15, - "111101001101": 2.7988827464567257e-12, - "111101001110": 2.914260931494833e-12, - "111101001111": 1.84408228593987e-09, - "111101010000": 2.849370302128337e-17, - "111101010001": 4.422282218003796e-15, - "111101010010": 4.409992179718722e-15, - "111101010011": 2.798888461508639e-12, - "111101010100": 4.292734092713005e-15, - "111101010101": 2.605107022778968e-12, - "111101010110": 2.712381184912275e-12, - "111101010111": 1.7163369867448298e-09, - "111101011000": 4.481325778351923e-15, - "111101011001": 2.7988819340884557e-12, - "111101011010": 2.7123830850294066e-12, - "111101011011": 1.7162634785300527e-09, - "111101011100": 2.8368892038022686e-12, - "111101011101": 1.716333377677209e-09, - "111101011110": 1.7870863769355683e-09, - "111101011111": 1.130835132243858e-06, - "111101100000": 3.0179155048919116e-17, - "111101100001": 4.61578224707169e-15, - "111101100010": 4.604842893737102e-15, - "111101100011": 2.9226773783302408e-12, - "111101100100": 4.61203928432456e-15, - "111101100101": 2.7988827477054566e-12, - "111101100110": 2.9141335425135448e-12, - "111101100111": 1.8440015766140547e-09, - "111101101000": 4.481328762871298e-15, - "111101101001": 2.7988845702100125e-12, - "111101101010": 2.7123830862236837e-12, - "111101101011": 1.7162634785299932e-09, - "111101101100": 2.836767869656098e-12, - "111101101101": 1.7162598695419095e-09, - "111101101110": 1.787009845217228e-09, - "111101101111": 1.130786704478891e-06, - "111101110000": 4.678628966327267e-15, - "111101110001": 2.9227975164586423e-12, - "111101110010": 2.9142621400424844e-12, - "111101110011": 1.8440015775163603e-09, - "111101110100": 2.836891097684078e-12, - "111101110101": 1.7163333784309527e-09, - "111101110110": 1.7870098459253227e-09, - "111101110111": 1.1307867086915026e-06, - "111101111000": 2.9617795613800157e-12, - "111101111001": 1.8440778738228807e-09, - "111101111010": 1.7870876303435435e-09, - "111101111011": 1.1307867050240233e-06, - "111101111100": 1.8691200436785644e-09, - "111101111101": 1.1308327549435996e-06, - "111101111110": 1.1774494603035889e-06, - "111101111111": 0.0007450681879851439, - "111110000000": 4.885057071875953e-15, - "111110000001": 3.0672625586653363e-17, - "111110000010": 3.015350521792835e-17, - "111110000011": 4.819215987235581e-15, - "111110000100": 3.018016552518203e-17, - "111110000101": 4.6161909478882316e-15, - "111110000110": 4.806753283064599e-15, - "111110000111": 3.0509637406312642e-12, - "111110001000": 3.018271216457102e-17, - "111110001001": 4.751641087411267e-15, - "111110001010": 4.605239559970965e-15, - "111110001011": 2.922804317403442e-12, - "111110001100": 4.816230261549686e-15, - "111110001101": 2.9227963865710967e-12, - "111110001110": 3.043282654816542e-12, - "111110001111": 1.925724492487461e-09, - "111110010000": 3.0179155048919116e-17, - "111110010001": 4.751639795654156e-15, - "111110010010": 4.73842336240627e-15, - "111110010011": 3.0072059628166415e-12, - "111110010100": 4.612436475434024e-15, - "111110010101": 2.7990024306482633e-12, - "111110010110": 2.9142609122438303e-12, - "111110010111": 1.8440822859390889e-09, - "111110011000": 4.815071980757049e-15, - "111110011001": 3.0071969762232388e-12, - "111110011010": 2.914260210292008e-12, - "111110011011": 1.8440015706329135e-09, - "111110011100": 3.0480330636866888e-12, - "111110011101": 1.8440766715309578e-09, - "111110011110": 1.920095676363477e-09, - "111110011111": 1.2150009512468042e-06, - "111110100000": 2.974827812147135e-17, - "111110100001": 4.616192681838641e-15, - "111110100010": 4.605241320637684e-15, - "111110100011": 2.9228043186111176e-12, - "111110100100": 4.6124394895522865e-15, - "111110100101": 2.799005066739296e-12, - "111110100110": 2.9142609133937087e-12, - "111110100111": 1.8440822859390144e-09, - "111110101000": 4.48171614535142e-15, - "111110101001": 2.799004254317603e-12, - "111110101010": 2.712499085445441e-12, - "111110101011": 1.7163369811776493e-09, - "111110101100": 2.8368891849356973e-12, - "111110101101": 1.7163333712931678e-09, - "111110101110": 1.7870863769340787e-09, - "111110101111": 1.130835132243858e-06, - "111110110000": 4.678634966505021e-15, - "111110110001": 2.922797498803206e-12, - "111110110010": 2.9142621207479816e-12, - "111110110011": 1.8440015713615515e-09, - "111110110100": 2.8368910776825228e-12, - "111110110101": 1.7163333720469713e-09, - "111110110110": 1.7870098392799086e-09, - "111110110111": 1.1307867044784145e-06, - "111110111000": 2.9617795624107765e-12, - "111110111001": 1.8440778738212005e-09, - "111110111010": 1.78708763034213e-09, - "111110111011": 1.1307867050236e-06, - "111110111100": 1.869120043678477e-09, - "111110111101": 1.1308327549435996e-06, - "111110111110": 1.1774494603035889e-06, - "111110111111": 0.0007450681879851439, - "111111000000": 3.1058071218973843e-17, - "111111000001": 4.81942818804845e-15, - "111111000010": 4.8071711580271024e-15, - "111111000011": 3.050963731928078e-12, - "111111000100": 4.8166485959434754e-15, - "111111000101": 2.922923333498917e-12, - "111111000110": 3.0432826359567082e-12, - "111111000111": 1.9257244924865734e-09, - "111111001000": 4.815491620486529e-15, - "111111001001": 3.0073303741053663e-12, - "111111001010": 2.9143875904322413e-12, - "111111001011": 1.8440822799575538e-09, - "111111001100": 3.048033044773401e-12, - "111111001101": 1.8440766653758322e-09, - "111111001110": 1.9200956763618105e-09, - "111111001111": 1.2150009512468046e-06, - "111111010000": 4.679042517088333e-15, - "111111010001": 2.9229244444760285e-12, - "111111010010": 2.9143894997050275e-12, - "111111010011": 1.8440822806862856e-09, - "111111010100": 2.8370124018649522e-12, - "111111010101": 1.7164068776878271e-09, - "111111010110": 1.7870863709962555e-09, - "111111010111": 1.1308351322433822e-06, - "111111011000": 2.9617795427133705e-12, - "111111011001": 1.8440778676661344e-09, - "111111011010": 1.787087623696176e-09, - "111111011011": 1.1307867008105124e-06, - "111111011100": 1.8691200436769217e-09, - "111111011101": 1.1308327549431772e-06, - "111111011110": 1.1774494603035889e-06, - "111111011111": 0.0007450681879851439, - "111111100000": 4.885057071875959e-15, - "111111100001": 3.05108910726916e-12, - "111111100010": 3.0434160862388385e-12, - "111111100011": 1.9257244870359945e-09, - "111111100100": 3.0481674258202316e-12, - "111111100101": 1.844157378809953e-09, - "111111100110": 1.920095670740526e-09, - "111111100111": 1.2150009512462439e-06, - "111111101000": 2.9619081791305066e-12, - "111111101001": 1.8441585803532426e-09, - "111111101010": 1.787164159530007e-09, - "111111101011": 1.130835128575283e-06, - "111111101100": 1.8691200374747057e-09, - "111111101101": 1.1308327507298782e-06, - "111111101110": 1.1774494603030989e-06, - "111111101111": 0.0007450681879851439, - "111111110000": 3.092316567744524e-12, - "111111110001": 1.9258036418981187e-09, - "111111110010": 1.9201805060964713e-09, - "111111110011": 1.2150009477853206e-06, - "111111110100": 1.8692013328106543e-09, - "111111110101": 1.1308811809635266e-06, - "111111110110": 1.1774494563827142e-06, - "111111110111": 0.0007450681879848305, - "111111111000": 1.9514891883730418e-09, - "111111111001": 1.2150512189292708e-06, - "111111111010": 1.1775007079513644e-06, - "111111111011": 0.0007450681855680729, - "111111111100": 1.231551344934406e-06, - "111111111101": 0.0007450985275679202, - "111111111110": 0.0007758139789672013, - "111111111111": 0.4909207019188599 + "000000000000": 0.31561367497790366, + "000000000001": 0.012767003490013067, + "000000000010": 0.012222649681542722, + "000000000011": 0.0005188270509753481, + "000000000100": 0.012209535349164583, + "000000000101": 0.0004944595212390684, + "000000000110": 0.0005107166890396082, + "000000000111": 2.1044299462094655e-05, + "000000001000": 0.012209563126791195, + "000000001001": 0.0004938936006222193, + "000000001010": 0.00047336813692596324, + "000000001011": 2.0091976377449707e-05, + "000000001100": 0.0005101594783446913, + "000000001101": 2.0658764095346458e-05, + "000000001110": 2.07203473187626e-05, + "000000001111": 8.561393454038549e-07, + "000000010000": 0.012209563212607442, + "000000010001": 0.0004938947555793639, + "000000010010": 0.0004728354126722581, + "000000010011": 2.0068972108204207e-05, + "000000010100": 0.0004728600954279706, + "000000010101": 1.9147968179557882e-05, + "000000010110": 1.977776215250648e-05, + "000000010111": 8.173917333197386e-07, + "000000011000": 0.0005101605025952086, + "000000011001": 2.063471705832303e-05, + "000000011010": 1.9777404493417677e-05, + "000000011011": 8.419256297473968e-07, + "000000011100": 2.0697887160338643e-05, + "000000011101": 8.406312581041756e-07, + "000000011110": 8.430133664992044e-07, + "000000011111": 3.1986114293117064e-08, + "000000100000": 0.012209563212133958, + "000000100001": 0.0004938947589305161, + "000000100010": 0.0004728366453625615, + "000000100011": 2.0069016381466344e-05, + "000000100100": 0.0004723280846010548, + "000000100101": 1.9126393683778007e-05, + "000000100110": 1.9754968575039015e-05, + "000000100111": 8.164907884801908e-07, + "000000101000": 0.0004728611715453045, + "000000101001": 1.912602171665238e-05, + "000000101010": 1.833091845533153e-05, + "000000101011": 7.803876818013662e-07, + "000000101100": 1.9756180789541553e-05, + "000000101101": 8.023921726260198e-07, + "000000101110": 8.050043574131899e-07, + "000000101111": 3.0538449392420994e-08, + "000000110000": 0.0005101605065534396, + "000000110001": 2.06347571622995e-05, + "000000110010": 1.9754605491478805e-05, + "000000110011": 8.40981841401223e-07, + "000000110100": 1.9756175508251827e-05, + "000000110101": 8.0237759185178e-07, + "000000110110": 8.289584114072541e-07, + "000000110111": 3.1494223959161255e-08, + "000000111000": 2.0697928432392112e-05, + "000000111001": 8.396943143644628e-07, + "000000111010": 8.049956799300283e-07, + "000000111011": 3.150343106577338e-08, + "000000111100": 8.421034171439686e-07, + "000000111101": 3.1437701134032615e-08, + "000000111110": 3.139304654517157e-08, + "000000111111": 5.619500909552577e-09, + "000001000000": 0.012209563212133958, + "000001000001": 0.0004938947588919309, + "000001000010": 0.00047283664817933656, + "000001000011": 2.0069016659937336e-05, + "000001000100": 0.00047232931567293176, + "000001000101": 1.912644107537974e-05, + "000001000110": 1.9755012673221677e-05, + "000001000111": 8.164945832696718e-07, + "000001001000": 0.0004723291592131757, + "000001001001": 1.9104477356357932e-05, + "000001001010": 1.831026020299044e-05, + "000001001011": 7.7954172967457e-07, + "000001001100": 1.973341221812029e-05, + "000001001101": 8.015014365340883e-07, + "000001001110": 8.041201348285289e-07, + "000001001111": 3.0466091271093506e-08, + "000001010000": 0.0004728611748691075, + "000001010001": 1.912606397862486e-05, + "000001010010": 1.8310254722691276e-05, + "000001010011": 7.795272740477796e-07, + "000001010100": 1.8311242175843193e-05, + "000001010101": 7.437246057261023e-07, + "000001010110": 7.683712468021943e-07, + "000001010111": 2.9155785832848964e-08, + "000001011000": 1.9756220434258217e-05, + "000001011001": 8.014920690966165e-07, + "000001011010": 7.683772593849547e-07, + "000001011011": 3.006923621381737e-08, + "000001011100": 8.041353069217064e-07, + "000001011101": 3.0020481740418026e-08, + "000001011110": 2.9972306213242044e-08, + "000001011111": 5.3651670033354626e-09, + "000001100000": 0.0005101605065343966, + "000001100001": 2.063475746232014e-05, + "000001100010": 1.975464960129603e-05, + "000001100011": 8.409855004954026e-07, + "000001100100": 1.9733406955077932e-05, + "000001100101": 8.014866429947147e-07, + "000001100110": 8.280263200073105e-07, + "000001100111": 3.141962359840005e-08, + "000001101000": 1.975622044870416e-05, + "000001101001": 8.014918622104486e-07, + "000001101010": 7.683574190125354e-07, + "000001101011": 3.00686920396675e-08, + "000001101100": 8.280574690279989e-07, + "000001101101": 3.0950875146901943e-08, + "000001101110": 3.091807382831513e-08, + "000001101111": 5.4423889296869835e-09, + "000001110000": 2.069792859277874e-05, + "000001110001": 8.396979573842809e-07, + "000001110010": 8.041112238344009e-07, + "000001110011": 3.142906599560321e-08, + "000001110100": 8.041350820533647e-07, + "000001110101": 3.002016262472701e-08, + "000001110110": 3.091830604285112e-08, + "000001110111": 5.443083865659722e-09, + "000001111000": 8.421051052411266e-07, + "000001111001": 3.136335189480583e-08, + "000001111010": 2.997195443232057e-08, + "000001111011": 5.442600187995542e-09, + "000001111100": 3.1355252773116054e-08, + "000001111101": 5.440586515892514e-09, + "000001111110": 5.541408929932325e-09, + "000001111111": 3.198611429311702e-08, + "000010000000": 0.012209563212607442, + "000010000001": 0.000493894758911524, + "000010000010": 0.0004728366481606508, + "000010000011": 2.006901667693603e-05, + "000010000100": 0.000472329318503938, + "000010000101": 1.9126441328013406e-05, + "000010000110": 1.9755012976889867e-05, + "000010000111": 8.164943986375327e-07, + "000010001000": 0.000472330390305203, + "000010001001": 1.9104524644452992e-05, + "000010001010": 1.8310305784183167e-05, + "000010001011": 7.795455579890744e-07, + "000010001100": 1.9733456266929748e-05, + "000010001101": 8.0150514419273e-07, + "000010001110": 8.041235340977573e-07, + "000010001111": 3.046501699789773e-08, + "000010010000": 0.0004723291625505982, + "000010010001": 1.91045195214784e-05, + "000010010010": 1.8289624769307724e-05, + "000010010011": 7.786829549185919e-07, + "000010010100": 1.829060606301588e-05, + "000010010101": 7.429184422964936e-07, + "000010010110": 7.67541399091437e-07, + "000010010111": 2.9087225229164188e-08, + "000010011000": 1.9733451818880485e-05, + "000010011001": 8.006028218876016e-07, + "000010011010": 7.675277810463575e-07, + "000010011011": 2.999832690399735e-08, + "000010011100": 8.032520885635648e-07, + "000010011101": 2.9949879697009606e-08, + "000010011110": 2.989938788241982e-08, + "000010011111": 5.4423889296869835e-09, + "000010100000": 0.0004728611748691077, + "000010100001": 1.912606424582588e-05, + "000010100010": 1.8310300315535023e-05, + "000010100011": 7.795308980102264e-07, + "000010100100": 1.829060607447703e-05, + "000010100101": 7.429182272495931e-07, + "000010100110": 7.675215529981874e-07, + "000010100111": 2.9086685741470507e-08, + "000010101000": 1.8311283831223723e-05, + "000010101001": 7.429040735682779e-07, + "000010101010": 7.121945184270003e-07, + "000010101011": 2.783587619629726e-08, + "000010101100": 7.67536199563167e-07, + "000010101101": 2.8653261842511352e-08, + "000010101110": 2.8620635146617977e-08, + "000010101111": 5.122249322286951e-09, + "000010110000": 1.975622058917054e-05, + "000010110001": 8.014955543677454e-07, + "000010110010": 7.6752754791465e-07, + "000010110011": 2.999800982102284e-08, + "000010110100": 7.675558100069667e-07, + "000010110101": 2.8653489793864748e-08, + "000010110110": 2.9511125229975363e-08, + "000010110111": 5.1960911762329e-09, + "000010111000": 8.041369175871673e-07, + "000010111001": 2.994948215012705e-08, + "000010111010": 2.8620828426816795e-08, + "000010111011": 5.196745201351055e-09, + "000010111100": 2.9936224341901755e-08, + "000010111101": 5.19435680918719e-09, + "000010111110": 5.290606317745981e-09, + "000010111111": 3.0538449392421013e-08, + "000011000000": 0.0005101605065534396, + "000011000001": 2.0634757479543105e-05, + "000011000010": 1.975464990497897e-05, + "000011000011": 8.409853143695303e-07, + "000011000100": 1.9733451003885238e-05, + "000011000101": 8.014903515857302e-07, + "000011000110": 8.280295886382823e-07, + "000011000111": 3.1418520883459226e-08, + "000011001000": 1.973345183332034e-05, + "000011001001": 8.006026163327357e-07, + "000011001010": 7.675077484115358e-07, + "000011001011": 2.9997765632914886e-08, + "000011001100": 8.27126448397063e-07, + "000011001101": 3.087784472222495e-08, + "000011001110": 3.084291508201903e-08, + "000011001111": 5.5199728288586544e-09, + "000011010000": 1.975622058917054e-05, + "000011010001": 8.014955555527406e-07, + "000011010010": 7.675273580093496e-07, + "000011010011": 2.999799326876588e-08, + "000011010100": 7.675359946142559e-07, + "000011010101": 2.865274158351432e-08, + "000011010110": 2.9510588969924706e-08, + "000011010111": 5.195995977610678e-09, + "000011011000": 8.280591378817543e-07, + "000011011001": 3.087799635463558e-08, + "000011011010": 2.951055296629406e-08, + "000011011011": 5.2715103698656526e-09, + "000011011100": 3.088090664256953e-08, + "000011011101": 5.2701695626967506e-09, + "000011011110": 5.366093055991636e-09, + "000011011111": 3.0466091271093526e-08, + "000011100000": 2.069792859277874e-05, + "000011100001": 8.396977708341769e-07, + "000011100010": 8.041146233955018e-07, + "000011100011": 3.142795951514012e-08, + "000011100100": 8.032518643855113e-07, + "000011100101": 2.9949542803326365e-08, + "000011100110": 3.0843146583751536e-08, + "000011100111": 5.520688256750209e-09, + "000011101000": 8.041369181292156e-07, + "000011101001": 2.9949465203183224e-08, + "000011101010": 2.8620294228980473e-08, + "000011101011": 5.196668243137477e-09, + "000011101100": 3.08809062292746e-08, + "000011101101": 5.270188227205397e-09, + "000011101110": 5.3676724899723e-09, + "000011101111": 3.046501699789776e-08, + "000011110000": 8.421051108073367e-07, + "000011110001": 3.136225424984369e-08, + "000011110010": 2.9899026834635274e-08, + "000011110011": 5.520202443561348e-09, + "000011110100": 2.993621563731644e-08, + "000011110101": 5.19428098489141e-09, + "000011110110": 5.366112729420109e-09, + "000011110111": 3.046523219635043e-08, + "000011111000": 3.1355320285424555e-08, + "000011111001": 5.518267969932703e-09, + "000011111010": 5.290563963274239e-09, + "000011111011": 3.0465172356852754e-08, + "000011111100": 5.5434217083425086e-09, + "000011111101": 3.0501399056667174e-08, + "000011111110": 3.20425847444528e-08, + "000011111111": 8.561393454038549e-07, + "000100000000": 0.012209563126791195, + "000100000001": 0.0004938947554409047, + "000100000010": 0.0004728366448386156, + "000100000011": 2.0069016534252534e-05, + "000100000100": 0.00047232931514782294, + "000100000101": 1.9126441208267742e-05, + "000100000110": 1.975501285163034e-05, + "000100000111": 8.164943803352313e-07, + "000100001000": 0.0004723303897987826, + "000100001001": 1.9104524762810444e-05, + "000100001010": 1.831030592354001e-05, + "000100001011": 7.795453758428007e-07, + "000100001100": 1.973345643018455e-05, + "000100001101": 8.015049606280317e-07, + "000100001110": 8.041233264119555e-07, + "000100001111": 3.0465232196350426e-08, + "000100010000": 0.000472330390305203, + "000100010001": 1.910456667553017e-05, + "000100010010": 1.828967012264723e-05, + "000100010011": 7.786868037222339e-07, + "000100010100": 1.8290651462055443e-05, + "000100010101": 7.429220890796037e-07, + "000100010110": 7.675448388679445e-07, + "000100010111": 2.9086214418839835e-08, + "000100011000": 1.973349572751254e-05, + "000100011001": 8.006065514383426e-07, + "000100011010": 7.675310296979337e-07, + "000100011011": 2.9997289868896194e-08, + "000100011100": 8.032554817772015e-07, + "000100011101": 2.9948838966744365e-08, + "000100011110": 2.9898720720032644e-08, + "000100011111": 5.443083865659725e-09, + "000100100000": 0.0004723291592131757, + "000100100001": 1.9104519654381668e-05, + "000100100010": 1.828967013429928e-05, + "000100100011": 7.786865997646165e-07, + "000100100100": 1.8269998091448388e-05, + "000100100101": 7.421135978790553e-07, + "000100100110": 7.666933611457228e-07, + "000100100111": 2.9017747813992992e-08, + "000100101000": 1.8290647541100286e-05, + "000100101001": 7.420992490641982e-07, + "000100101010": 7.114258259287228e-07, + "000100101011": 2.7770418452229988e-08, + "000100101100": 7.66707298144923e-07, + "000100101101": 2.858637177619111e-08, + "000100101110": 2.8551517228465583e-08, + "000100101111": 5.1960911762329015e-09, + "000100110000": 1.973345183332034e-05, + "000100110001": 8.006063294401315e-07, + "000100110010": 7.666795322177293e-07, + "000100110011": 2.9926702725565655e-08, + "000100110100": 7.667072831128335e-07, + "000100110101": 2.858586840766829e-08, + "000100110110": 2.9439683876875072e-08, + "000100110111": 5.270242557645815e-09, + "000100111000": 8.032536928512533e-07, + "000100111001": 2.98784807284341e-08, + "000100111010": 2.8551193342705038e-08, + "000100111011": 5.2709159437449125e-09, + "000100111100": 2.9863335537573144e-08, + "000100111101": 5.268555304822598e-09, + "000100111110": 5.367431542036048e-09, + "000100111111": 3.1494223959161255e-08, + "000101000000": 0.0004728611715453045, + "000101000001": 1.912606412607031e-05, + "000101000010": 1.8310300454891943e-05, + "000101000011": 7.79530717028887e-07, + "000101000100": 1.829065147351619e-05, + "000101000101": 7.429218749729545e-07, + "000101000110": 7.675248026101884e-07, + "000101000111": 2.9085658764583796e-08, + "000101001000": 1.8290647541100286e-05, + "000101001001": 7.420992500040122e-07, + "000101001010": 7.114256246550607e-07, + "000101001011": 2.7770401172741873e-08, + "000101001100": 7.666874804019014e-07, + "000101001101": 2.85856232017434e-08, + "000101001110": 2.8550982910867477e-08, + "000101001111": 5.195995977610678e-09, + "000101010000": 1.8311283831223723e-05, + "000101010001": 7.429075211152754e-07, + "000101010010": 7.114256133251774e-07, + "000101010011": 2.7769902072200796e-08, + "000101010100": 7.114331760190326e-07, + "000101010101": 2.6525023036345964e-08, + "000101010110": 2.7317501528666227e-08, + "000101010111": 4.8903333679121195e-09, + "000101011000": 7.675377420216465e-07, + "000101011001": 2.8585259319302073e-08, + "000101011010": 2.731768519452294e-08, + "000101011011": 4.960840162483768e-09, + "000101011100": 2.8586174887515148e-08, + "000101011101": 4.9596252932239315e-09, + "000101011110": 5.051075148890563e-09, + "000101011111": 2.9155785832848954e-08, + "000101100000": 1.975622044870416e-05, + "000101100001": 8.014953713535796e-07, + "000101100010": 7.675307969845951e-07, + "000101100011": 2.9996955938718675e-08, + "000101100100": 7.667072835305333e-07, + "000101100101": 2.8585850581313895e-08, + "000101100110": 2.9439147056773598e-08, + "000101100111": 5.270165498426089e-09, + "000101101000": 7.675575579602128e-07, + "000101101001": 2.858598993696997e-08, + "000101101010": 2.7317685047625614e-08, + "000101101011": 4.960858661210393e-09, + "000101101100": 2.9475425281507212e-08, + "000101101101": 5.031035799406283e-09, + "000101101110": 5.123707444408303e-09, + "000101101111": 2.9087225229164198e-08, + "000101110000": 8.041369181292156e-07, + "000101110001": 2.994843299349226e-08, + "000101110010": 2.8551184290776013e-08, + "000101110011": 5.270839667825411e-09, + "000101110100": 2.858669999374557e-08, + "000101110101": 4.95964458387939e-09, + "000101110110": 5.123708388322748e-09, + "000101110111": 2.9086214418839835e-08, + "000101111000": 2.9936287706824854e-08, + "000101111001": 5.2685243450318495e-09, + "000101111010": 5.051128084988829e-09, + "000101111011": 2.9086355964713634e-08, + "000101111100": 5.292529719904061e-09, + "000101111101": 2.912095265264507e-08, + "000101111110": 3.0592385297911547e-08, + "000101111111": 8.173917333197378e-07, + "000110000000": 0.0005101605025952086, + "000110000001": 2.0634757317759314e-05, + "000110000010": 1.975464976526588e-05, + "000110000011": 8.409852950743471e-07, + "000110000100": 1.973345115270013e-05, + "000110000101": 8.014901673886515e-07, + "000110000110": 8.280293782928413e-07, + "000110000111": 3.141873900572123e-08, + "000110001000": 1.973349572751254e-05, + "000110001001": 8.006063452570672e-07, + "000110001010": 7.675109973577436e-07, + "000110001011": 2.999672831186781e-08, + "000110001100": 8.271297104297686e-07, + "000110001101": 3.087677996998289e-08, + "000110001110": 3.0842224902977e-08, + "000110001111": 5.520688256750209e-09, + "000110010000": 1.9733451818880485e-05, + "000110010001": 8.006063299984002e-07, + "000110010010": 7.666793430102864e-07, + "000110010011": 2.9926685779021465e-08, + "000110010100": 7.666872751756347e-07, + "000110010101": 2.8585104411033707e-08, + "000110010110": 2.9439130305804846e-08, + "000110010111": 5.270165498426089e-09, + "000110011000": 8.27128110061508e-07, + "000110011001": 3.080456273261828e-08, + "000110011010": 2.9438575625681642e-08, + "000110011011": 5.346011727963343e-09, + "000110011100": 3.0805779033908016e-08, + "000110011101": 5.344721209337623e-09, + "000110011110": 5.4432723731844915e-09, + "000110011111": 3.141962359840006e-08, + "000110100000": 1.9756220434258217e-05, + "000110100001": 8.014953707265797e-07, + "000110100010": 7.675307975428368e-07, + "000110100011": 2.999695552611085e-08, + "000110100100": 7.66707093338854e-07, + "000110100101": 2.858583503197978e-08, + "000110100110": 2.943913002742127e-08, + "000110100111": 5.270184149392691e-09, + "000110101000": 7.675377420216465e-07, + "000110101001": 2.8585243481953792e-08, + "000110101010": 2.7316970874806145e-08, + "000110101011": 4.9607492518458015e-09, + "000110101100": 2.947488958640541e-08, + "000110101101": 5.030943480314395e-09, + "000110101110": 5.1236139440499354e-09, + "000110101111": 2.9086685741470516e-08, + "000110110000": 8.280591378817543e-07, + "000110110001": 3.0876939705904695e-08, + "000110110010": 2.943910282964336e-08, + "000110110011": 5.346031596736316e-09, + "000110110100": 2.94754170363404e-08, + "000110110101": 5.030944279585139e-09, + "000110110110": 5.196366194493685e-09, + "000110110111": 2.9017747813992992e-08, + "000110111000": 3.088097191745539e-08, + "000110111001": 5.34478648960675e-09, + "000110111010": 5.12364834254345e-09, + "000110111011": 2.9016654643973772e-08, + "000110111100": 5.367984592756376e-09, + "000110111101": 2.9051422184550095e-08, + "000110111110": 3.0522601165786844e-08, + "000110111111": 8.164907884801902e-07, + "000111000000": 2.0697928432392112e-05, + "000111000001": 8.396977516237442e-07, + "000111000010": 8.041144151622976e-07, + "000111000011": 3.1428177552665124e-08, + "000111000100": 8.032552570570396e-07, + "000111000101": 2.9948501785454356e-08, + "000111000110": 3.084245640471375e-08, + "000111000111": 5.521407140316704e-09, + "000111001000": 8.032536928512533e-07, + "000111001001": 2.9878463387014975e-08, + "000111001010": 2.855064212399571e-08, + "000111001011": 5.2708571889852e-09, + "000111001100": 3.0805778620918395e-08, + "000111001101": 5.344739938441198e-09, + "000111001110": 5.444880211952934e-09, + "000111001111": 3.141852088345924e-08, + "000111010000": 8.041369175871673e-07, + "000111010001": 2.994843258057315e-08, + "000111010010": 2.8551167532895832e-08, + "000111010011": 5.270858248399325e-09, + "000111010100": 2.85861665026813e-08, + "000111010101": 4.959552466694504e-09, + "000111010110": 5.123632215514241e-09, + "000111010111": 2.9085658764583796e-08, + "000111011000": 3.088097191745539e-08, + "000111011001": 5.344786419960066e-09, + "000111011010": 5.123665670030196e-09, + "000111011011": 2.9016638368472188e-08, + "000111011100": 5.369563013643792e-09, + "000111011101": 2.905017200823472e-08, + "000111011110": 3.052114942178075e-08, + "000111011111": 8.164945832696713e-07, + "000111100000": 8.421051052411266e-07, + "000111100001": 3.136247259207387e-08, + "000111100010": 2.9898359814572354e-08, + "000111100011": 5.520921328349656e-09, + "000111100100": 2.986332684659462e-08, + "000111100101": 5.2684977262095265e-09, + "000111100110": 5.443292153583732e-09, + "000111100111": 3.141873900572124e-08, + "000111101000": 2.9936287706824854e-08, + "000111101001": 5.268542959701313e-09, + "000111101010": 5.0510348174159515e-09, + "000111101011": 2.908579990869282e-08, + "000111101100": 5.3679845591573415e-09, + "000111101101": 2.9051405488440235e-08, + "000111101110": 3.052114891494016e-08, + "000111101111": 8.164943986375322e-07, + "000111110000": 3.1355320285424555e-08, + "000111110001": 5.518967355873625e-09, + "000111110010": 5.367388248936703e-09, + "000111110011": 3.1418685845659054e-08, + "000111110100": 5.292529087669494e-09, + "000111110101": 2.9120405113004696e-08, + "000111110110": 3.052259305254399e-08, + "000111110111": 8.164943803352306e-07, + "000111111000": 5.543406011514226e-09, + "000111111001": 3.145661809108011e-08, + "000111111010": 3.059247540818953e-08, + "000111111011": 8.164925118273873e-07, + "000111111100": 3.210347285319874e-08, + "000111111101": 8.173663483722449e-07, + "000111111110": 8.534965182538873e-07, + "000111111111": 2.104429946209463e-05, + "001000000000": 0.012209535349164583, + "001000000001": 0.0004938936317614945, + "001000000010": 0.00047283556907303713, + "001000000011": 2.0068970898658625e-05, + "001000000100": 0.0004723282405369537, + "001000000101": 1.9126397715370118e-05, + "001000000110": 1.975496792404253e-05, + "001000000111": 8.164925118273876e-07, + "001000001000": 0.00047232931514782294, + "001000001001": 1.910448133661024e-05, + "001000001010": 1.8310264296347932e-05, + "001000001011": 7.7954357793728e-07, + "001000001100": 1.973341156710429e-05, + "001000001101": 8.015031124371131e-07, + "001000001110": 8.041214795846696e-07, + "001000001111": 3.046517235685272e-08, + "001000010000": 0.000472329318503938, + "001000010001": 1.910452348715148e-05, + "001000010010": 1.8289628799811377e-05, + "001000010011": 7.786848404410792e-07, + "001000010100": 1.829061013479165e-05, + "001000010101": 7.429202184161707e-07, + "001000010110": 7.675428917408553e-07, + "001000010111": 2.9086355964713634e-08, + "001000011000": 1.973345115270013e-05, + "001000011001": 8.006045368094747e-07, + "001000011010": 7.675290837659137e-07, + "001000011011": 2.999743208936185e-08, + "001000011100": 8.032534450627254e-07, + "001000011101": 2.994898116361785e-08, + "001000011110": 2.9898873555033557e-08, + "001000011111": 5.442600187995544e-09, + "001000100000": 0.00047232931567293176, + "001000100001": 1.9104523501697346e-05, + "001000100010": 1.8289674025406026e-05, + "001000100011": 7.786886674982072e-07, + "001000100100": 1.8270001973261865e-05, + "001000100101": 7.421155734543249e-07, + "001000100110": 7.666950755428878e-07, + "001000100111": 2.9016654643973782e-08, + "001000101000": 1.829065147351619e-05, + "001000101001": 7.421012255635959e-07, + "001000101010": 7.114274175724249e-07, + "001000101011": 2.7769392015549227e-08, + "001000101100": 7.667089907281966e-07, + "001000101101": 2.8585333492720208e-08, + "001000101110": 2.855082785420494e-08, + "001000101111": 5.1967452013510564e-09, + "001000110000": 1.9733451003885238e-05, + "001000110001": 8.006082279978336e-07, + "001000110010": 7.666810568263045e-07, + "001000110011": 2.992558061137251e-08, + "001000110100": 7.667087849459083e-07, + "001000110101": 2.8584814986387636e-08, + "001000110110": 2.9438974538456288e-08, + "001000110111": 5.2709159437449125e-09, + "001000111000": 8.032552570570396e-07, + "001000111001": 2.9877355148614075e-08, + "001000111010": 2.8550487647446664e-08, + "001000111011": 5.271592531454078e-09, + "001000111100": 2.986259589125102e-08, + "001000111101": 5.269232476446817e-09, + "001000111110": 5.367717334343531e-09, + "001000111111": 3.150343106577338e-08, + "001001000000": 0.0004723280846010548, + "001001000001": 1.9104476228181614e-05, + "001001000010": 1.8289628811463935e-05, + "001001000011": 7.786846376539037e-07, + "001001000100": 1.8270001973261865e-05, + "001001000101": 7.421155743951361e-07, + "001001000110": 7.666948857818718e-07, + "001001000111": 2.9016638368472188e-08, + "001001001000": 1.8269998091448388e-05, + "001001001001": 7.412942737881067e-07, + "001001001010": 7.106568341347677e-07, + "001001001011": 2.770452158594803e-08, + "001001001100": 7.658584942303655e-07, + "001001001101": 2.8518306134438676e-08, + "001001001110": 2.8481398376729424e-08, + "001001001111": 5.271510369865651e-09, + "001001010000": 1.829060607447703e-05, + "001001010001": 7.421010267005531e-07, + "001001010010": 7.106566209507773e-07, + "001001010011": 2.7704006811125943e-08, + "001001010100": 7.106637319812091e-07, + "001001010101": 2.6462542558418173e-08, + "001001010110": 2.725145141392239e-08, + "001001010111": 4.960840162483769e-09, + "001001011000": 7.66707093338854e-07, + "001001011001": 2.851792483909438e-08, + "001001011010": 2.725163385794271e-08, + "001001011011": 5.0317711093047055e-09, + "001001011100": 2.8517016914723713e-08, + "001001011101": 5.03058616410198e-09, + "001001011110": 5.124549455074146e-09, + "001001011111": 3.006923621381737e-08, + "001001100000": 1.9733406955077932e-05, + "001001100001": 8.006043153677159e-07, + "001001100010": 7.666810572449352e-07, + "001001100011": 2.992556365720216e-08, + "001001100100": 7.658584786404819e-07, + "001001100101": 2.8517786692923984e-08, + "001001100110": 2.9367216296838997e-08, + "001001100111": 5.3460117279633385e-09, + "001001101000": 7.667072835305333e-07, + "001001101001": 2.8517924551378092e-08, + "001001101010": 2.7250936923192184e-08, + "001001101011": 5.0316610622776535e-09, + "001001101100": 2.9403943961277692e-08, + "001001101101": 5.102295316303505e-09, + "001001101110": 5.197487175367385e-09, + "001001101111": 2.999832690399735e-08, + "001001110000": 8.032518643855116e-07, + "001001110001": 2.987734660770887e-08, + "001001110010": 2.8481065869087177e-08, + "001001110011": 5.3467053714222145e-09, + "001001110100": 2.8517025295307096e-08, + "001001110101": 5.030494382653596e-09, + "001001110110": 5.1975056349037686e-09, + "001001110111": 2.9997289868896194e-08, + "001001111000": 2.986332684659462e-08, + "001001111001": 5.344419984708163e-09, + "001001111010": 5.1244902406344395e-09, + "001001111011": 2.999743208936185e-08, + "001001111100": 5.369456974433524e-09, + "001001111101": 3.0033059328527695e-08, + "001001111110": 3.15472775327536e-08, + "001001111111": 8.419256297473959e-07, + "001010000000": 0.0004728600954279708, + "001010000001": 1.9126020622044934e-05, + "001010000010": 1.831025881623924e-05, + "001010000011": 7.795289186308076e-07, + "001010000100": 1.829061013479165e-05, + "001010000101": 7.429200037998727e-07, + "001010000110": 7.675228561665212e-07, + "001010000111": 2.908579990869282e-08, + "001010001000": 1.829065146205545e-05, + "001010001001": 7.421012259942322e-07, + "001010001010": 7.114272167337907e-07, + "001010001011": 2.776937445192796e-08, + "001010001100": 7.666889826580553e-07, + "001010001101": 2.8584569496393096e-08, + "001010001110": 2.8550276910603937e-08, + "001010001111": 5.196668243137478e-09, + "001010010000": 1.8290606063015887e-05, + "001010010001": 7.421010261909089e-07, + "001010010010": 7.106566213858015e-07, + "001010010011": 2.7704006526923553e-08, + "001010010100": 7.106635305540311e-07, + "001010010101": 2.6462526191685986e-08, + "001010010110": 2.7251433926261877e-08, + "001010010111": 4.960858661210395e-09, + "001010011000": 7.666872751756347e-07, + "001010011001": 2.8517178146590517e-08, + "001010011010": 2.7250919582448026e-08, + "001010011011": 5.0316610622776535e-09, + "001010011100": 2.8516483163737875e-08, + "001010011101": 5.030493582759198e-09, + "001010011110": 5.124455444070305e-09, + "001010011111": 3.006869203966752e-08, + "001010100000": 1.8311242175843193e-05, + "001010100001": 7.429056505854582e-07, + "001010100010": 7.11427204969729e-07, + "001010100011": 2.7768860153717022e-08, + "001010100100": 7.106637319812091e-07, + "001010100101": 2.64625260330508e-08, + "001010100110": 2.7250736990116766e-08, + "001010100111": 4.960749251845803e-09, + "001010101000": 7.114331760190326e-07, + "001010101001": 2.6461977443770995e-08, + "001010101010": 2.528633036175359e-08, + "001010101011": 4.6689329052077526e-09, + "001010101100": 2.728433787488403e-08, + "001010101101": 4.7344925851196795e-09, + "001010101110": 4.822822731555541e-09, + "001010101111": 2.783587619629728e-08, + "001010110000": 7.675359946142559e-07, + "001010110001": 2.8584197781851634e-08, + "001010110010": 2.7250928352279825e-08, + "001010110011": 5.031569490345134e-09, + "001010110100": 2.7285043569371295e-08, + "001010110101": 4.7345108621054155e-09, + "001010110110": 4.890751029095405e-09, + "001010110111": 2.7770418452229998e-08, + "001010111000": 2.858616650268131e-08, + "001010111001": 5.030445533140413e-09, + "001010111010": 4.822873423867026e-09, + "001010111011": 2.7769392015549237e-08, + "001010111100": 5.052925283720132e-09, + "001010111101": 2.7802612219216845e-08, + "001010111110": 2.920743525118909e-08, + "001010111111": 7.803876818013665e-07, + "001011000000": 1.9756175508251827e-05, + "001011000001": 8.01493522750088e-07, + "001011000010": 7.675288506345736e-07, + "001011000011": 2.9997097752645527e-08, + "001011000100": 7.667087849459083e-07, + "001011000101": 2.8584796872652334e-08, + "001011000110": 2.9438420820509957e-08, + "001011000111": 5.2708571889852e-09, + "001011001000": 7.667072831128335e-07, + "001011001001": 2.851792426393104e-08, + "001011001010": 2.7250919435478006e-08, + "001011001011": 5.031679646274855e-09, + "001011001100": 2.9403407987578046e-08, + "001011001101": 5.102202461119552e-09, + "001011001110": 5.197410370098124e-09, + "001011001111": 2.9997765632914906e-08, + "001011010000": 7.675558100069667e-07, + "001011010001": 2.858494382222068e-08, + "001011010010": 2.725162514004688e-08, + "001011010011": 5.031698098956603e-09, + "001011010100": 2.728504356937129e-08, + "001011010101": 4.734510838568316e-09, + "001011010110": 4.8907688590659364e-09, + "001011010111": 2.777040117274189e-08, + "001011011000": 2.94754170363404e-08, + "001011011001": 5.10226480649587e-09, + "001011011010": 4.890801044662848e-09, + "001011011011": 2.770452158594804e-08, + "001011011100": 5.125526470805151e-09, + "001011011101": 2.773653424184994e-08, + "001011011110": 2.9141321759054238e-08, + "001011011111": 7.7954172967457e-07, + "001011100000": 8.041350820533647e-07, + "001011100001": 2.994857519274795e-08, + "001011100010": 2.8550478603184263e-08, + "001011100011": 5.271534597698633e-09, + "001011100100": 2.8517025295307096e-08, + "001011100101": 5.030512991339145e-09, + "001011100110": 5.197411356300895e-09, + "001011100111": 2.9996728311867836e-08, + "001011101000": 2.858669999374557e-08, + "001011101001": 5.03055671194656e-09, + "001011101010": 4.822873413460062e-09, + "001011101011": 2.776937445192798e-08, + "001011101100": 5.1255091193103525e-09, + "001011101101": 2.7736533950671427e-08, + "001011101110": 2.9139771255604932e-08, + "001011101111": 7.795455579890749e-07, + "001011110000": 2.993621563731644e-08, + "001011110001": 5.269200700964756e-09, + "001011110010": 5.124489576165461e-09, + "001011110011": 2.999687892579713e-08, + "001011110100": 5.053017971639515e-09, + "001011110101": 2.7802603403816572e-08, + "001011110110": 2.9141329465132266e-08, + "001011110111": 7.795453758428009e-07, + "001011111000": 5.292529087669493e-09, + "001011111001": 3.003310434340766e-08, + "001011111010": 2.9208061196411302e-08, + "001011111011": 7.795435779372802e-07, + "001011111100": 3.065067968312376e-08, + "001011111101": 7.803778715774034e-07, + "001011111110": 8.148730394976495e-07, + "001011111111": 2.0091976377449717e-05, + "001100000000": 0.0005101594783446913, + "001100000001": 2.063471591379959e-05, + "001100000010": 1.9754610121643675e-05, + "001100000011": 8.409835953802573e-07, + "001100000100": 1.973341156710429e-05, + "001100000101": 8.014885333231003e-07, + "001100000110": 8.280276980481649e-07, + "001100000111": 3.141868584565905e-08, + "001100001000": 1.973345643018455e-05, + "001100001001": 8.006045444798015e-07, + "001100001010": 7.675092563896791e-07, + "001100001011": 2.9996878925797106e-08, + "001100001100": 8.271278383995468e-07, + "001100001101": 3.087693150418247e-08, + "001100001110": 3.0842387269658094e-08, + "001100001111": 5.520202443561349e-09, + "001100010000": 1.9733456266929748e-05, + "001100010001": 8.006084424078847e-07, + "001100010010": 7.666810723154967e-07, + "001100010011": 2.9925572039023624e-08, + "001100010100": 7.666889826580553e-07, + "001100010101": 2.8584058692678932e-08, + "001100010110": 2.943842902882124e-08, + "001100010111": 5.270839667825411e-09, + "001100011000": 8.271297104297686e-07, + "001100011001": 3.0803419262646546e-08, + "001100011010": 2.9437857761007695e-08, + "001100011011": 5.346705371422212e-09, + "001100011100": 3.080502274223589e-08, + "001100011101": 5.345418731066114e-09, + "001100011110": 5.443573506981226e-09, + "001100011111": 3.142906599560321e-08, + "001100100000": 1.973341221812029e-05, + "001100100001": 8.006045285924726e-07, + "001100100010": 7.666812624996182e-07, + "001100100011": 2.9925571619074145e-08, + "001100100100": 7.658584942303655e-07, + "001100100101": 2.851777872389928e-08, + "001100100110": 2.936720720187847e-08, + "001100100111": 5.346031596736316e-09, + "001100101000": 7.666874804019014e-07, + "001100101001": 2.85171701772108e-08, + "001100101010": 2.7250214806674588e-08, + "001100101011": 5.031569490345134e-09, + "001100101100": 2.9403399195876234e-08, + "001100101101": 5.102221034561333e-09, + "001100101110": 5.1974123121647316e-09, + "001100101111": 2.999800982102284e-08, + "001100110000": 8.27126448397063e-07, + "001100110001": 3.080342736057183e-08, + "001100110010": 2.9366644320837197e-08, + "001100110011": 5.4222335022346e-09, + "001100110100": 2.9403407987578046e-08, + "001100110101": 5.102110293372087e-09, + "001100110110": 5.270481729104304e-09, + "001100110111": 2.9926702725565655e-08, + "001100111000": 3.0805778620918395e-08, + "001100111001": 5.421041009945925e-09, + "001100111010": 5.197351568203456e-09, + "001100111011": 2.992558061137252e-08, + "001100111100": 5.445266780781389e-09, + "001100111101": 2.9961379793444526e-08, + "001100111110": 3.147528211744972e-08, + "001100111111": 8.409818414012217e-07, + "001101000000": 1.9756180789541553e-05, + "001101000001": 8.0149373674828e-07, + "001101000010": 7.675290554708809e-07, + "001101000011": 2.99971061408311e-08, + "001101000100": 7.667089907281966e-07, + "001101000101": 2.8584804448360805e-08, + "001101000110": 2.9438428750469685e-08, + "001101000111": 5.270858248399325e-09, + "001101001000": 7.66707298144923e-07, + "001101001001": 2.851791658238033e-08, + "001101001010": 2.7250911470958172e-08, + "001101001011": 5.031698098956603e-09, + "001101001100": 2.9403399195876234e-08, + "001101001101": 5.102220988644055e-09, + "001101001110": 5.197429763863131e-09, + "001101001111": 2.999799326876589e-08, + "001101010000": 7.67536199563167e-07, + "001101010001": 2.858420535775002e-08, + "001101010010": 2.7250920387766642e-08, + "001101010011": 5.031587897378188e-09, + "001101010100": 2.728433787488402e-08, + "001101010101": 4.7344069936621466e-09, + "001101010110": 4.890661945367568e-09, + "001101010111": 2.7769902072200815e-08, + "001101011000": 2.947488958640541e-08, + "001101011001": 5.102171776554764e-09, + "001101011010": 4.890711984311511e-09, + "001101011011": 2.770400681112595e-08, + "001101011100": 5.125433522655432e-09, + "001101011101": 2.773601856029747e-08, + "001101011110": 2.91407798755769e-08, + "001101011111": 7.795272740477798e-07, + "001101100000": 8.280574690279989e-07, + "001101100001": 3.087709165495574e-08, + "001101100010": 2.943840187072508e-08, + "001101100011": 5.346725208540129e-09, + "001101100100": 2.9403943961277692e-08, + "001101100101": 5.1022218206236256e-09, + "001101100110": 5.270481707254616e-09, + "001101100111": 2.9926685779021485e-08, + "001101101000": 2.9475425281507212e-08, + "001101101001": 5.102283360986944e-09, + "001101101010": 4.89069414397097e-09, + "001101101011": 2.7704006526923562e-08, + "001101101100": 5.198135941397821e-09, + "001101101101": 2.7670772465236903e-08, + "001101101110": 2.9074145762707346e-08, + "001101101111": 7.786829549185919e-07, + "001101110000": 3.08809062292746e-08, + "001101110001": 5.345464684650363e-09, + "001101110010": 5.197445143463032e-09, + "001101110011": 2.9925572039023644e-08, + "001101110100": 5.1255091193103525e-09, + "001101110101": 2.7736027017276087e-08, + "001101110110": 2.9074153843162588e-08, + "001101110111": 7.786868037222341e-07, + "001101111000": 5.3679845591573415e-09, + "001101111001": 2.996196964905507e-08, + "001101111010": 2.91414229338609e-08, + "001101111011": 7.78684840441079e-07, + "001101111100": 3.0580811252649206e-08, + "001101111101": 7.79518156609483e-07, + "001101111110": 8.139710080056659e-07, + "001101111111": 2.0068972108204224e-05, + "001110000000": 2.069788716033865e-05, + "001110000001": 8.396960651362213e-07, + "001110000010": 8.04112793318569e-07, + "001110000011": 3.1428124868133936e-08, + "001110000100": 8.032534450627254e-07, + "001110000101": 2.994865276729401e-08, + "001110000110": 3.084261918522264e-08, + "001110000111": 5.520921328349656e-09, + "001110001000": 8.032554817772015e-07, + "001110001001": 2.987734657202887e-08, + "001110001010": 2.854994463309137e-08, + "001110001011": 5.271534597698631e-09, + "001110001100": 3.080502274223589e-08, + "001110001101": 5.345437497458716e-09, + "001110001110": 5.445184679358842e-09, + "001110001111": 3.142795951514012e-08, + "001110010000": 8.032520885635648e-07, + "001110010001": 2.987735495987223e-08, + "001110010010": 2.848105718820277e-08, + "001110010011": 5.346725208540128e-09, + "001110010100": 2.8516483163737868e-08, + "001110010101": 5.03042019719593e-09, + "001110010110": 5.19744818764612e-09, + "001110010111": 2.9996955938718675e-08, + "001110011000": 3.0805779033908016e-08, + "001110011001": 5.4210409785643655e-09, + "001110011010": 5.197368984022879e-09, + "001110011011": 2.992556365720216e-08, + "001110011100": 5.446873586039322e-09, + "001110011101": 2.996009931508465e-08, + "001110011110": 3.147379715172112e-08, + "001110011111": 8.409855004954015e-07, + "001110100000": 8.041353069217064e-07, + "001110100001": 2.9948583971684276e-08, + "001110100010": 2.855048667583144e-08, + "001110100011": 5.271535696055731e-09, + "001110100100": 2.8517016914723713e-08, + "001110100101": 5.0305314103762306e-09, + "001110100110": 5.1974307141470625e-09, + "001110100111": 2.999695552611087e-08, + "001110101000": 2.8586174887515158e-08, + "001110101001": 5.030463933278117e-09, + "001110101010": 4.822784317656761e-09, + "001110101011": 2.7768860153717038e-08, + "001110101100": 5.125433522655432e-09, + "001110101101": 2.773600295913303e-08, + "001110101110": 2.9139213964010628e-08, + "001110101111": 7.795308980102268e-07, + "001110110000": 3.088090664256953e-08, + "001110110001": 5.345464723151018e-09, + "001110110010": 5.197445107541389e-09, + "001110110011": 2.992557161907415e-08, + "001110110100": 5.125526470805151e-09, + "001110110101": 2.773601170728082e-08, + "001110110110": 2.9074138336829216e-08, + "001110110111": 7.786865997646165e-07, + "001110111000": 5.3695630136437965e-09, + "001110111001": 2.9960705582327496e-08, + "001110111010": 2.9139857289414494e-08, + "001110111011": 7.786886674982072e-07, + "001110111100": 3.0579359228819794e-08, + "001110111101": 7.795218175636882e-07, + "001110111110": 8.139750909294274e-07, + "001110111111": 2.0069016381466357e-05, + "001111000000": 8.421034171439686e-07, + "001111000001": 3.136241993091333e-08, + "001111000010": 2.989852135159471e-08, + "001111000011": 5.520435529429348e-09, + "001111000100": 2.986259589125102e-08, + "001111000101": 5.269175709280788e-09, + "001111000110": 5.443593319234037e-09, + "001111000111": 3.142817755266514e-08, + "001111001000": 2.9863335537573144e-08, + "001111001001": 5.3444398460895485e-09, + "001111001010": 5.1244154945556025e-09, + "001111001011": 2.999709775264553e-08, + "001111001100": 5.445266780781389e-09, + "001111001101": 2.996136241286342e-08, + "001111001110": 3.147379663778501e-08, + "001111001111": 8.409853143695293e-07, + "001111010000": 2.9936224341901755e-08, + "001111010001": 5.269201789199671e-09, + "001111010010": 5.124508851479701e-09, + "001111010011": 2.999710614083112e-08, + "001111010100": 5.052925283720132e-09, + "001111010101": 2.7802088078086367e-08, + "001111010110": 2.914077205642673e-08, + "001111010111": 7.795307170288873e-07, + "001111011000": 5.367984592756376e-09, + "001111011001": 2.9961969229031575e-08, + "001111011010": 2.9141407408793562e-08, + "001111011011": 7.786846376539037e-07, + "001111011100": 3.0579359228819794e-08, + "001111011101": 7.79521818734549e-07, + "001111011110": 8.139749467243539e-07, + "001111011111": 2.006901665993735e-05, + "001111100000": 3.1355252773116054e-08, + "001111100001": 5.5184809410157925e-09, + "001111100010": 5.367674524730013e-09, + "001111100011": 3.142812486813394e-08, + "001111100100": 5.369456974433524e-09, + "001111100101": 3.003273420536363e-08, + "001111100110": 3.1475273877111756e-08, + "001111100111": 8.409852950743458e-07, + "001111101000": 5.2925297199040596e-09, + "001111101001": 3.003333210854195e-08, + "001111101010": 2.920752009137804e-08, + "001111101011": 7.795289186308078e-07, + "001111101100": 3.0580811252649206e-08, + "001111101101": 7.795179530666452e-07, + "001111101110": 8.139750915552752e-07, + "001111101111": 2.0069016676936044e-05, + "001111110000": 5.5434217083425086e-09, + "001111110001": 3.146583062646593e-08, + "001111110010": 3.154736972974478e-08, + "001111110011": 8.409835953802562e-07, + "001111110100": 3.065067968312376e-08, + "001111110101": 7.803634297390827e-07, + "001111110110": 8.139710122881995e-07, + "001111110111": 2.006901653425255e-05, + "001111111000": 3.210347285319873e-08, + "001111111001": 8.41898847691092e-07, + "001111111010": 8.148736796348234e-07, + "001111111011": 2.006897089865864e-05, + "001111111100": 8.550287048361175e-07, + "001111111101": 2.0090529502042025e-05, + "001111111110": 2.09856292662986e-05, + "001111111111": 0.0005188270509753481, + "010000000000": 0.012222649681542722, + "010000000001": 0.0004944241242461998, + "010000000010": 0.0004733434425337754, + "010000000011": 2.0090529502042014e-05, + "010000000100": 0.0004728355690730373, + "010000000101": 1.914694378529773e-05, + "010000000110": 1.9776189632509482e-05, + "010000000111": 8.173663483722454e-07, + "010000001000": 0.00047283664483861574, + "010000001001": 1.9125003895134755e-05, + "010000001010": 1.8329934073254396e-05, + "010000001011": 7.803778715774036e-07, + "010000001100": 1.9754610121643682e-05, + "010000001101": 8.023609486572306e-07, + "010000001110": 8.049817738026856e-07, + "010000001111": 3.0501399056667154e-08, + "010000010000": 0.00047283664816065094, + "010000010001": 1.9125046111090366e-05, + "010000010010": 1.8309276461515766e-05, + "010000010011": 7.795181566094826e-07, + "010000010100": 1.8310258816239246e-05, + "010000010101": 7.437152992927753e-07, + "010000010110": 7.683640379081185e-07, + "010000010111": 2.912095265264508e-08, + "010000011000": 1.975464976526588e-05, + "010000011001": 8.014613518696774e-07, + "010000011010": 7.683502150084712e-07, + "010000011011": 3.003305932852769e-08, + "010000011100": 8.04112793318569e-07, + "010000011101": 2.998455376647906e-08, + "010000011110": 2.9934616752365494e-08, + "010000011111": 5.440586515892511e-09, + "010000100000": 0.00047283664817933667, + "010000100001": 1.9125046363712468e-05, + "010000100010": 1.8309321996329154e-05, + "010000100011": 7.79521817563688e-07, + "010000100100": 1.8289628811463935e-05, + "010000100101": 7.429095912597495e-07, + "010000100110": 7.67515078806895e-07, + "010000100111": 2.9051422184550115e-08, + "010000101000": 1.8310300454891943e-05, + "010000101001": 7.428952278400012e-07, + "010000101010": 7.12188310267231e-07, + "010000101011": 2.7802612219216835e-08, + "010000101100": 7.675290554708809e-07, + "010000101101": 2.861948109278629e-08, + "010000101110": 2.8585169786685412e-08, + "010000101111": 5.19435680918719e-09, + "010000110000": 1.975464990497897e-05, + "010000110001": 8.014648756178255e-07, + "010000110010": 7.675010461009072e-07, + "010000110011": 2.9961379793444526e-08, + "010000110100": 7.675288506345736e-07, + "010000110101": 2.8618961547456228e-08, + "010000110110": 2.947432674736373e-08, + "010000110111": 5.268555304822598e-09, + "010000111000": 8.04114415162298e-07, + "010000111001": 2.9913099791703603e-08, + "010000111010": 2.8584828894561487e-08, + "010000111011": 5.269232476446819e-09, + "010000111100": 2.989852135159471e-08, + "010000111101": 5.26686742065339e-09, + "010000111110": 5.3651773601075745e-09, + "010000111111": 3.143770113403263e-08, + "010001000000": 0.00047283664536256165, + "010001000001": 1.9125046125639804e-05, + "010001000010": 1.8309321996329154e-05, + "010001000011": 7.79521818734549e-07, + "010001000100": 1.8289674025406026e-05, + "010001000101": 7.429134380189327e-07, + "010001000110": 7.675185498976147e-07, + "010001000111": 2.905017200823472e-08, + "010001001000": 1.828967013429928e-05, + "010001001001": 7.420912458951111e-07, + "010001001010": 7.114202788433217e-07, + "010001001011": 2.773653424184992e-08, + "010001001100": 7.666812624996182e-07, + "010001001101": 2.85512313194252e-08, + "010001001110": 2.8514862880956703e-08, + "010001001111": 5.2701695626967506e-09, + "010001010000": 1.8310300315535023e-05, + "010001010001": 7.428988754767692e-07, + "010001010010": 7.114200663596757e-07, + "010001010011": 2.7736018560297462e-08, + "010001010100": 7.11427204969729e-07, + "010001010101": 2.6493094011320927e-08, + "010001010110": 2.7283436378332884e-08, + "010001010111": 4.959625293223933e-09, + "010001011000": 7.675307975428368e-07, + "010001011001": 2.8550849456603255e-08, + "010001011010": 2.7283619206582547e-08, + "010001011011": 5.030586164101978e-09, + "010001011100": 2.855048667583144e-08, + "010001011101": 5.029401026123614e-09, + "010001011110": 5.1228346087210736e-09, + "010001011111": 3.002048174041801e-08, + "010001100000": 1.975464960129603e-05, + "010001100001": 8.014648761748298e-07, + "010001100010": 7.675045163880102e-07, + "010001100011": 2.996009931508463e-08, + "010001100100": 7.666810572449352e-07, + "010001100101": 2.855069570953733e-08, + "010001100110": 2.940166802444104e-08, + "010001100111": 5.344721209337621e-09, + "010001101000": 7.675307969845951e-07, + "010001101001": 2.855083391844637e-08, + "010001101010": 2.7282906138515357e-08, + "010001101011": 5.030493582759196e-09, + "010001101100": 2.943840187072508e-08, + "010001101101": 5.101154862380871e-09, + "010001101110": 5.195815763858261e-09, + "010001101111": 2.994987969700959e-08, + "010001110000": 8.041146233955018e-07, + "010001110001": 2.991182428461439e-08, + "010001110010": 2.8514513376078223e-08, + "010001110011": 5.345418731066114e-09, + "010001110100": 2.8550478603184263e-08, + "010001110101": 5.029326644666405e-09, + "010001110110": 5.195834149986028e-09, + "010001110111": 2.9948838966744346e-08, + "010001111000": 2.9898359814572354e-08, + "010001111001": 5.343128819533015e-09, + "010001111010": 5.122793588595214e-09, + "010001111011": 2.994898116361785e-08, + "010001111100": 5.3676745247300104e-09, + "010001111101": 2.998455376647906e-08, + "010001111110": 3.149698183977374e-08, + "010001111111": 8.40631258104174e-07, + "010010000000": 0.0004728354126722584, + "010010000001": 1.912499876903524e-05, + "010010000010": 1.8309276461515766e-05, + "010010000011": 7.79517953066645e-07, + "010010000100": 1.8289628799811377e-05, + "010010000101": 7.429095916893145e-07, + "010010000110": 7.675148894723993e-07, + "010010000111": 2.9051405488440245e-08, + "010010001000": 1.8289670122647237e-05, + "010010001001": 7.420912453841659e-07, + "010010001010": 7.114202792775424e-07, + "010010001011": 2.7736533950671418e-08, + "010010001100": 7.666810723154967e-07, + "010010001101": 2.8551215774792757e-08, + "010010001110": 2.851484612737697e-08, + "010010001111": 5.270188227205399e-09, + "010010010000": 1.8289624769307724e-05, + "010010010001": 7.420910466313881e-07, + "010010010010": 7.106501201535595e-07, + "010010010011": 2.7670772465236893e-08, + "010010010100": 7.106566213858015e-07, + "010010010101": 2.6431205164680694e-08, + "010010010110": 2.7217614788561226e-08, + "010010010111": 5.031035799406285e-09, + "010010011000": 7.666793430102864e-07, + "010010011001": 2.8483424446812918e-08, + "010010011010": 2.721710054154727e-08, + "010010011011": 5.102295316303505e-09, + "010010011100": 2.848105718820277e-08, + "010010011101": 5.101154862380871e-09, + "010010011110": 5.197537646845038e-09, + "010010011111": 3.0950875146901943e-08, + "010010100000": 1.831025472269127e-05, + "010010100001": 7.428950288661256e-07, + "010010100010": 7.114200663596757e-07, + "010010100011": 2.773600295913302e-08, + "010010100100": 7.106566209507773e-07, + "010010100101": 2.6431188809379716e-08, + "010010100110": 2.7216901491349912e-08, + "010010100111": 5.0309434803143975e-09, + "010010101000": 7.114256133251774e-07, + "010010101001": 2.6430640137524823e-08, + "010010101010": 2.525493343811907e-08, + "010010101011": 4.7344925851196795e-09, + "010010101100": 2.7250920387766652e-08, + "010010101101": 4.800508168667591e-09, + "010010101110": 4.891094364886098e-09, + "010010101111": 2.865326184251136e-08, + "010010110000": 7.675273580093496e-07, + "010010110001": 2.8550825961207575e-08, + "010010110010": 2.7217092008344235e-08, + "010010110011": 5.102221034561332e-09, + "010010110100": 2.725162514004688e-08, + "010010110101": 4.800526538947265e-09, + "010010110110": 4.959459355758688e-09, + "010010110111": 2.858637177619111e-08, + "010010111000": 2.8551167532895832e-08, + "010010111001": 5.101125174620294e-09, + "010010111010": 4.8911460543390636e-09, + "010010111011": 2.8585333492720218e-08, + "010010111100": 5.124508851479699e-09, + "010010111101": 2.86194810927863e-08, + "010010111110": 3.0062730974468e-08, + "010010111111": 8.023921726260203e-07, + "010011000000": 1.9754605491478805e-05, + "010011000001": 8.014611297521973e-07, + "010011000010": 7.675010461009071e-07, + "010011000011": 2.996136241286342e-08, + "010011000100": 7.666810568263045e-07, + "010011000101": 2.8550695415018927e-08, + "010011000110": 2.9401650999065142e-08, + "010011000111": 5.344739938441198e-09, + "010011001000": 7.666795322177293e-07, + "010011001001": 2.848342415917167e-08, + "010011001010": 2.7216387369100994e-08, + "010011001011": 5.102202461119552e-09, + "010011001100": 2.9366644320837197e-08, + "010011001101": 5.173212966224841e-09, + "010011001110": 5.270849761087777e-09, + "010011001111": 3.087784472222495e-08, + "010011010000": 7.6752754791465e-07, + "010011010001": 2.8550841211703114e-08, + "010011010010": 2.7217092008344215e-08, + "010011010011": 5.102220988644055e-09, + "010011010100": 2.7250928352279825e-08, + "010011010101": 4.8004037719370975e-09, + "010011010110": 4.959350492369565e-09, + "010011010111": 2.85856232017434e-08, + "010011011000": 2.943910282964336e-08, + "010011011001": 5.173276453171138e-09, + "010011011010": 4.9593835798858955e-09, + "010011011011": 2.8518306134438686e-08, + "010011011100": 5.197445107541389e-09, + "010011011101": 2.8551231319425216e-08, + "010011011110": 2.999438208142843e-08, + "010011011111": 8.015014365340885e-07, + "010011100000": 8.041112238344009e-07, + "010011100001": 2.991309123351272e-08, + "010011100010": 2.8514513376078223e-08, + "010011100011": 5.345437497458717e-09, + "010011100100": 2.8481065869087167e-08, + "010011100101": 5.1010803712002235e-09, + "010011100110": 5.270868318656665e-09, + "010011100111": 3.087677996998289e-08, + "010011101000": 2.8551184290776013e-08, + "010011101001": 5.10112515563661e-09, + "010011101010": 4.891037325829106e-09, + "010011101011": 2.8584569496393096e-08, + "010011101100": 5.1974451434630304e-09, + "010011101101": 2.8551215774792777e-08, + "010011101110": 2.999279822513007e-08, + "010011101111": 8.0150514419273e-07, + "010011110000": 2.9899026834635274e-08, + "010011110001": 5.343128149943853e-09, + "010011110010": 5.197477059079151e-09, + "010011110011": 3.087693150418249e-08, + "010011110100": 5.12448957616546e-09, + "010011110101": 2.8618724797643523e-08, + "010011110110": 2.9994374564046423e-08, + "010011110111": 8.015049606280323e-07, + "010011111000": 5.3673882489367055e-09, + "010011111001": 3.0914169905195575e-08, + "010011111010": 3.006259024554063e-08, + "010011111011": 8.015031124371134e-07, + "010011111100": 3.1547369729744784e-08, + "010011111101": 8.023609486572311e-07, + "010011111110": 8.378318011944544e-07, + "010011111111": 2.0658764095346468e-05, + "010100000000": 0.00047336813692596324, + "010100000001": 1.9146572017404976e-05, + "010100000010": 1.8329934073254396e-05, + "010100000011": 7.803634297390827e-07, + "010100000100": 1.8310264296347932e-05, + "010100000101": 7.437153066543756e-07, + "010100000110": 7.683442103803262e-07, + "010100000111": 2.9120405113004706e-08, + "010100001000": 1.831030592354001e-05, + "010100001001": 7.428954502394517e-07, + "010100001010": 7.121883219194368e-07, + "010100001011": 2.7802603403816562e-08, + "010100001100": 7.675092563896791e-07, + "010100001101": 2.8618724797643523e-08, + "010100001110": 2.8584626876712417e-08, + "010100001111": 5.19428098489141e-09, + "010100010000": 1.8310305784183167e-05, + "010100010001": 7.428990969359941e-07, + "010100010010": 7.114202792775424e-07, + "010100010011": 2.773602701727608e-08, + "010100010100": 7.114272167337907e-07, + "010100010101": 2.649308568127686e-08, + "010100010110": 2.7283427276987242e-08, + "010100010111": 4.959644583879392e-09, + "010100011000": 7.675109973577436e-07, + "010100011001": 2.8550095332630422e-08, + "010100011010": 2.728289718406046e-08, + "010100011011": 5.030494382653595e-09, + "010100011100": 2.854994463309138e-08, + "010100011101": 5.029326644666407e-09, + "010100011110": 5.122759678911949e-09, + "010100011111": 3.002016262472701e-08, + "010100100000": 1.831026020299044e-05, + "010100100001": 7.428952508364736e-07, + "010100100010": 7.114202788433217e-07, + "010100100011": 2.7736011707280804e-08, + "010100100100": 7.106568341347677e-07, + "010100100101": 2.6431196845998856e-08, + "010100100110": 2.7216909877506627e-08, + "010100100111": 5.030944279585139e-09, + "010100101000": 7.114256246550607e-07, + "010100101001": 2.6430631977470418e-08, + "010100101010": 2.5254925235135214e-08, + "010100101011": 4.7345108621054155e-09, + "010100101100": 2.7250911470958172e-08, + "010100101101": 4.800526538947265e-09, + "010100101110": 4.891113367090578e-09, + "010100101111": 2.8653489793864748e-08, + "010100110000": 7.675077484115358e-07, + "010100110001": 2.855008738215017e-08, + "010100110010": 2.7216387369101e-08, + "010100110011": 5.102110293372087e-09, + "010100110100": 2.7250919435478026e-08, + "010100110101": 4.8004221657172254e-09, + "010100110110": 4.959351672206244e-09, + "010100110111": 2.85858684076683e-08, + "010100111000": 2.855064212399571e-08, + "010100111001": 5.101031956011226e-09, + "010100111010": 4.891056338400992e-09, + "010100111011": 2.8584814986387646e-08, + "010100111100": 5.1244154945556025e-09, + "010100111101": 2.8618961547456244e-08, + "010100111110": 3.006218549612635e-08, + "010100111111": 8.023775918517796e-07, + "010101000000": 1.833091845533154e-05, + "010101000001": 7.437009380308418e-07, + "010101000010": 7.12188310267231e-07, + "010101000011": 2.780208807808636e-08, + "010101000100": 7.114274175724249e-07, + "010101000101": 2.6493085522772696e-08, + "010101000110": 2.7282714207641688e-08, + "010101000111": 4.9595524666945056e-09, + "010101001000": 7.114258259287228e-07, + "010101001001": 2.6430648174257812e-08, + "010101001010": 2.5254925235135214e-08, + "010101001011": 4.734510838568316e-09, + "010101001100": 2.7250214806674588e-08, + "010101001101": 4.8004037719370975e-09, + "010101001110": 4.891004625617446e-09, + "010101001111": 2.865274158351431e-08, + "010101010000": 7.121945184270003e-07, + "010101010001": 2.649252936722193e-08, + "010101010010": 2.525493343811907e-08, + "010101010011": 4.734406993662145e-09, + "010101010100": 2.528633036175359e-08, + "010101010101": 4.4543473275736476e-09, + "010101010110": 4.601835868355306e-09, + "010101010111": 2.652502303634597e-08, + "010101011000": 2.7316970874806145e-08, + "010101011001": 4.800357612446865e-09, + "010101011010": 4.601883243885778e-09, + "010101011011": 2.6462542558418183e-08, + "010101011100": 4.8227843176567594e-09, + "010101011101": 2.6493094011320927e-08, + "010101011110": 2.783221422991665e-08, + "010101011111": 7.437246057261024e-07, + "010101100000": 7.683574190125357e-07, + "010101100001": 2.8618352676976556e-08, + "010101100010": 2.7282906138515367e-08, + "010101100011": 5.03042019719593e-09, + "010101100100": 2.725093692319219e-08, + "010101100101": 4.800422157990112e-09, + "010101100110": 4.959242855239655e-09, + "010101100111": 2.8585104411033697e-08, + "010101101000": 2.7317685047625614e-08, + "010101101001": 4.800480360874495e-09, + "010101101010": 4.601883257065164e-09, + "010101101011": 2.6462526191685986e-08, + "010101101100": 4.89069414397097e-09, + "010101101101": 2.6431205164680694e-08, + "010101101110": 2.776899796047909e-08, + "010101101111": 7.429184422964936e-07, + "010101110000": 2.8620294228980473e-08, + "010101110001": 5.029277648631505e-09, + "010101110010": 4.891037325829106e-09, + "010101110011": 2.8584058692678932e-08, + "010101110100": 4.822873413460065e-09, + "010101110101": 2.649308568127686e-08, + "010101110110": 2.7769005277733925e-08, + "010101110111": 7.429220890796035e-07, + "010101111000": 5.0510348174159515e-09, + "010101111001": 2.861877514389756e-08, + "010101111010": 2.7832810937603207e-08, + "010101111011": 7.429202184161707e-07, + "010101111100": 2.920752009137805e-08, + "010101111101": 7.437152992927751e-07, + "010101111110": 7.765894832291989e-07, + "010101111111": 1.9147968179557896e-05, + "010110000000": 1.9777404493417677e-05, + "010110000001": 8.023515923287633e-07, + "010110000010": 7.683502150084711e-07, + "010110000011": 3.003273420536363e-08, + "010110000100": 7.675290837659137e-07, + "010110000101": 2.8618952590490746e-08, + "010110000110": 2.9473781487594608e-08, + "010110000111": 5.2684977262095265e-09, + "010110001000": 7.675310296979337e-07, + "010110001001": 2.855084278066624e-08, + "010110001010": 2.728289718406046e-08, + "010110001011": 5.030512991339143e-09, + "010110001100": 2.9437857761007695e-08, + "010110001101": 5.101080371200225e-09, + "010110001110": 5.195758139783062e-09, + "010110001111": 2.9949542803326365e-08, + "010110010000": 7.675277810463575e-07, + "010110010001": 2.8550850368426927e-08, + "010110010010": 2.721710054154726e-08, + "010110010011": 5.1022218206236256e-09, + "010110010100": 2.7250919582448026e-08, + "010110010101": 4.800422157990112e-09, + "010110010110": 4.95936960206428e-09, + "010110010111": 2.8585850581313895e-08, + "010110011000": 2.9438575625681642e-08, + "010110011001": 5.173183035688705e-09, + "010110011010": 4.959293871837682e-09, + "010110011011": 2.8517786692923993e-08, + "010110011100": 5.197368984022879e-09, + "010110011101": 2.855069570953734e-08, + "010110011110": 2.999382005136756e-08, + "010110011111": 8.014866429947144e-07, + "010110100000": 7.683772593849547e-07, + "010110100001": 2.86191001726698e-08, + "010110100010": 2.7283619206582547e-08, + "010110100011": 5.030531410376228e-09, + "010110100100": 2.725163385794271e-08, + "010110100101": 4.8005449174493e-09, + "010110100110": 4.959369626275483e-09, + "010110100111": 2.858583503197978e-08, + "010110101000": 2.731768519452294e-08, + "010110101001": 4.800480376790068e-09, + "010110101010": 4.601883243885778e-09, + "010110101011": 2.646252603305081e-08, + "010110101100": 4.890711984311511e-09, + "010110101101": 2.6431188809379716e-08, + "010110101110": 2.7768981230502605e-08, + "010110101111": 7.429182272495929e-07, + "010110110000": 2.951055296629406e-08, + "010110110001": 5.101124219465603e-09, + "010110110010": 4.9593835798858955e-09, + "010110110011": 2.851777872389928e-08, + "010110110100": 4.890801044662848e-09, + "010110110101": 2.6431196845998856e-08, + "010110110110": 2.7706950353016765e-08, + "010110110111": 7.421135978790553e-07, + "010110111000": 5.123665670030194e-09, + "010110111001": 2.8551258139662596e-08, + "010110111010": 2.776959415648907e-08, + "010110111011": 7.421155734543249e-07, + "010110111100": 2.914140740879357e-08, + "010110111101": 7.429095912597495e-07, + "010110111110": 7.757440265705228e-07, + "010110111111": 1.9126393683778014e-05, + "010111000000": 8.049956799300283e-07, + "010111000001": 2.998415687617559e-08, + "010111000010": 2.8584828894561487e-08, + "010111000011": 5.269175709280788e-09, + "010111000100": 2.8550487647446664e-08, + "010111000101": 5.029346067922182e-09, + "010111000110": 5.1957591162936325e-09, + "010111000111": 2.9948501785454356e-08, + "010111001000": 2.8551193342705038e-08, + "010111001001": 5.101125977539035e-09, + "010111001010": 4.891056338400992e-09, + "010111001011": 2.858479687265234e-08, + "010111001100": 5.197351568203456e-09, + "010111001101": 2.8550695415018937e-08, + "010111001110": 2.999223631190797e-08, + "010111001111": 8.014903515857299e-07, + "010111010000": 2.8620828426816795e-08, + "010111010001": 5.029371460933378e-09, + "010111010010": 4.8911460543390636e-09, + "010111010011": 2.8584804448360805e-08, + "010111010100": 4.822873423867028e-09, + "010111010101": 2.6493085522772706e-08, + "010111010110": 2.776898854777138e-08, + "010111010111": 7.429218749729543e-07, + "010111011000": 5.123648342543448e-09, + "010111011001": 2.8551273389754418e-08, + "010111011010": 2.776959415648907e-08, + "010111011011": 7.421155743951361e-07, + "010111011100": 2.913985728941451e-08, + "010111011101": 7.429134380189329e-07, + "010111011110": 7.757481418960219e-07, + "010111011111": 1.9126441075379755e-05, + "010111100000": 2.997195443232057e-08, + "010111100001": 5.26683633512541e-09, + "010111100010": 5.122793588595214e-09, + "010111100011": 2.994865276729401e-08, + "010111100100": 5.1244902406344395e-09, + "010111100101": 2.8618952590490746e-08, + "010111100110": 2.9993828291249746e-08, + "010111100111": 8.014901673886515e-07, + "010111101000": 5.051128084988831e-09, + "010111101001": 2.8619522485477206e-08, + "010111101010": 2.7832810937603207e-08, + "010111101011": 7.429200037998727e-07, + "010111101100": 2.91414229338609e-08, + "010111101101": 7.429095916893145e-07, + "010111101110": 7.757481412626233e-07, + "010111101111": 1.912644132801342e-05, + "010111110000": 5.290563963274236e-09, + "010111110001": 2.998459824670627e-08, + "010111110010": 3.006259024554063e-08, + "010111110011": 8.014885333231003e-07, + "010111110100": 2.9208061196411312e-08, + "010111110101": 7.437153066543754e-07, + "010111110110": 7.757442348654056e-07, + "010111110111": 1.912644120826776e-05, + "010111111000": 3.059247540818953e-08, + "010111111001": 8.023607995029713e-07, + "010111111010": 7.766044728999568e-07, + "010111111011": 1.9126397715370135e-05, + "010111111100": 8.148736796348232e-07, + "010111111101": 1.914694378529773e-05, + "010111111110": 2.000000415850975e-05, + "010111111111": 0.000494459521239069, + "011000000000": 0.0005107166890396082, + "011000000001": 2.0657256376254074e-05, + "011000000010": 1.9776189632509482e-05, + "011000000011": 8.418988476910931e-07, + "011000000100": 1.975496792404253e-05, + "011000000101": 8.023607995029715e-07, + "011000000110": 8.289285543791822e-07, + "011000000111": 3.145661809108008e-08, + "011000001000": 1.975501285163034e-05, + "011000001001": 8.014757878048809e-07, + "011000001010": 7.683442103803262e-07, + "011000001011": 3.003310434340764e-08, + "011000001100": 8.280276980481649e-07, + "011000001101": 3.0914169905195575e-08, + "011000001110": 3.0879800175245146e-08, + "011000001111": 5.518267969932707e-09, + "011000010000": 1.9755012976889867e-05, + "011000010001": 8.014795186804148e-07, + "011000010010": 7.675148894723993e-07, + "011000010011": 2.996196964905505e-08, + "011000010100": 7.675228561665212e-07, + "011000010101": 2.861877514389757e-08, + "011000010110": 2.9474353723337483e-08, + "011000010111": 5.268524345031848e-09, + "011000011000": 8.280293782928413e-07, + "011000011001": 3.084083085962243e-08, + "011000011010": 2.9473781487594608e-08, + "011000011011": 5.344419984708163e-09, + "011000011100": 3.084261918522264e-08, + "011000011101": 5.343128819533015e-09, + "011000011110": 5.441125049830462e-09, + "011000011111": 3.136335189480586e-08, + "011000100000": 1.9755012673221677e-05, + "011000100001": 8.014795180518527e-07, + "011000100010": 7.675185498976147e-07, + "011000100011": 2.996070558232747e-08, + "011000100100": 7.666948857818718e-07, + "011000100101": 2.8551258139662586e-08, + "011000100110": 2.9402231425931856e-08, + "011000100111": 5.344786489606747e-09, + "011000101000": 7.675248026101884e-07, + "011000101001": 2.8550648754527856e-08, + "011000101010": 2.7282714207641688e-08, + "011000101011": 5.030445533140413e-09, + "011000101100": 2.9438428750469685e-08, + "011000101101": 5.101125174620294e-09, + "011000101110": 5.19580160653694e-09, + "011000101111": 2.994948215012704e-08, + "011000110000": 8.280295886382823e-07, + "011000110001": 3.083954465465775e-08, + "011000110010": 2.9401650999065142e-08, + "011000110011": 5.421041009945923e-09, + "011000110100": 2.9438420820509957e-08, + "011000110101": 5.10103195601122e-09, + "011000110110": 5.268913168493696e-09, + "011000110111": 2.98784807284341e-08, + "011000111000": 3.084245640471375e-08, + "011000111001": 5.4198478779249295e-09, + "011000111010": 5.1957591162936325e-09, + "011000111011": 2.987735514861406e-08, + "011000111100": 5.443593319234037e-09, + "011000111101": 2.99130997917036e-08, + "011000111110": 3.1425213681499095e-08, + "011000111111": 8.396943143644614e-07, + "011001000000": 1.9754968575039015e-05, + "011001000001": 8.014757720065126e-07, + "011001000010": 7.67515078806895e-07, + "011001000011": 2.9961969229031555e-08, + "011001000100": 7.666950755428878e-07, + "011001000101": 2.8551273389754418e-08, + "011001000110": 2.9402231425931856e-08, + "011001000111": 5.344786419960068e-09, + "011001001000": 7.666933611457228e-07, + "011001001001": 2.8483986214882962e-08, + "011001001010": 2.7216909877506627e-08, + "011001001011": 5.1022648064958675e-09, + "011001001100": 2.9367207201878462e-08, + "011001001101": 5.1732764531711365e-09, + "011001001110": 5.270930466988957e-09, + "011001001111": 3.087799635463558e-08, + "011001010000": 7.675215529981874e-07, + "011001010001": 2.8550656342315046e-08, + "011001010010": 2.7216901491349912e-08, + "011001010011": 5.102171776554763e-09, + "011001010100": 2.7250736990116766e-08, + "011001010101": 4.800357612446865e-09, + "011001010110": 4.959318600506562e-09, + "011001010111": 2.8585259319302083e-08, + "011001011000": 2.943913002742127e-08, + "011001011001": 5.173245679601604e-09, + "011001011010": 4.959369626275483e-09, + "011001011011": 2.851792483909439e-08, + "011001011100": 5.1974307141470625e-09, + "011001011101": 2.8550849456603265e-08, + "011001011110": 2.9993967499208585e-08, + "011001011111": 8.014920690966165e-07, + "011001100000": 8.280263200073105e-07, + "011001100001": 3.084083937157444e-08, + "011001100010": 2.940166802444105e-08, + "011001100011": 5.4210409785643655e-09, + "011001100100": 2.9367216296838988e-08, + "011001100101": 5.173183035688705e-09, + "011001100110": 5.344353293567514e-09, + "011001100111": 3.0804562732618274e-08, + "011001101000": 2.9439147056773608e-08, + "011001101001": 5.173245706715576e-09, + "011001101010": 4.959242855239655e-09, + "011001101011": 2.8517178146590523e-08, + "011001101100": 5.270481707254616e-09, + "011001101101": 2.8483424446812937e-08, + "011001101110": 2.992507499449115e-08, + "011001101111": 8.00602821887602e-07, + "011001110000": 3.0843146583751536e-08, + "011001110001": 5.419828273414239e-09, + "011001110010": 5.270868318656665e-09, + "011001110011": 3.080341926264655e-08, + "011001110100": 5.197411356300895e-09, + "011001110101": 2.8550095332630432e-08, + "011001110110": 2.992506787459027e-08, + "011001110111": 8.00606551438343e-07, + "011001111000": 5.4432921535837335e-09, + "011001111001": 3.084083085962243e-08, + "011001111010": 2.9993828291249746e-08, + "011001111011": 8.006045368094755e-07, + "011001111100": 3.147527387711176e-08, + "011001111101": 8.014613518696776e-07, + "011001111110": 8.368880739288143e-07, + "011001111111": 2.063471705832304e-05, + "011010000000": 1.9777762152506488e-05, + "011010000001": 8.023660156266577e-07, + "011010000010": 7.683640379081185e-07, + "011010000011": 3.003333210854193e-08, + "011010000100": 7.675428917408553e-07, + "011010000101": 2.8619522485477206e-08, + "011010000110": 2.9474353723337483e-08, + "011010000111": 5.268542959701311e-09, + "011010001000": 7.675448388679445e-07, + "011010001001": 2.855141187100095e-08, + "011010001010": 2.7283427276987242e-08, + "011010001011": 5.030556711946558e-09, + "011010001100": 2.943842902882124e-08, + "011010001101": 5.10112515563661e-09, + "011010001110": 5.19581901625142e-09, + "011010001111": 2.994946520318321e-08, + "011010010000": 7.67541399091437e-07, + "011010010001": 2.8551404208490296e-08, + "011010010010": 2.7217614788561226e-08, + "011010010011": 5.102283360986944e-09, + "011010010100": 2.7251433926261877e-08, + "011010010101": 4.800480360874495e-09, + "011010010110": 4.959445382712925e-09, + "011010010111": 2.8585989936969978e-08, + "011010011000": 2.9439130305804846e-08, + "011010011001": 5.173245706715576e-09, + "011010011010": 4.95936960206428e-09, + "011010011011": 2.85179245513781e-08, + "011010011100": 5.19744818764612e-09, + "011010011101": 2.855083391844637e-08, + "011010011110": 2.9993951741679014e-08, + "011010011111": 8.014918622104484e-07, + "011010100000": 7.683712468021943e-07, + "011010100001": 2.861892271373541e-08, + "011010100010": 2.7283436378332884e-08, + "011010100011": 5.0304639332781155e-09, + "011010100100": 2.725145141392239e-08, + "011010100101": 4.800480376790068e-09, + "011010100110": 4.959318600506562e-09, + "011010100111": 2.8585243481953792e-08, + "011010101000": 2.7317501528666227e-08, + "011010101001": 4.800415807914553e-09, + "011010101010": 4.601835868355308e-09, + "011010101011": 2.6461977443771005e-08, + "011010101100": 4.890661945367566e-09, + "011010101101": 2.6430640137524823e-08, + "011010101110": 2.7768392198318736e-08, + "011010101111": 7.429040735682781e-07, + "011010110000": 2.9510588969924706e-08, + "011010110001": 5.101074974627987e-09, + "011010110010": 4.959350492369565e-09, + "011010110011": 2.851717017721081e-08, + "011010110100": 4.8907688590659364e-09, + "011010110101": 2.6430631977470418e-08, + "011010110110": 2.7706345244681015e-08, + "011010110111": 7.420992490641982e-07, + "011010111000": 5.123632215514241e-09, + "011010111001": 2.8550648754527863e-08, + "011010111010": 2.776898854777138e-08, + "011010111011": 7.421012255635959e-07, + "011010111100": 2.914077205642674e-08, + "011010111101": 7.428952278400012e-07, + "011010111110": 7.757290376891291e-07, + "011010111111": 1.9126021716652395e-05, + "011011000000": 8.289584114072541e-07, + "011011000001": 3.091433049418083e-08, + "011011000010": 2.947432674736373e-08, + "011011000011": 5.3444398460895485e-09, + "011011000100": 2.9438974538456282e-08, + "011011000101": 5.101125977539032e-09, + "011011000110": 5.2689131684936975e-09, + "011011000111": 2.987846338701497e-08, + "011011001000": 2.9439683876875065e-08, + "011011001001": 5.173339989911741e-09, + "011011001010": 4.959351672206244e-09, + "011011001011": 2.851792426393105e-08, + "011011001100": 5.270481729104304e-09, + "011011001101": 2.848342415917168e-08, + "011011001110": 2.9925059255843344e-08, + "011011001111": 8.006026163327354e-07, + "011011010000": 2.9511125229975363e-08, + "011011010001": 5.101168999471145e-09, + "011011010010": 4.959459355758688e-09, + "011011010011": 2.851791658238033e-08, + "011011010100": 4.890751029095404e-09, + "011011010101": 2.643064817425783e-08, + "011011010110": 2.7706345244681015e-08, + "011011010111": 7.420992500040122e-07, + "011011011000": 5.196366194493685e-09, + "011011011001": 2.8483986214882962e-08, + "011011011010": 2.7706950353016765e-08, + "011011011011": 7.412942737881067e-07, + "011011011100": 2.9074138336829233e-08, + "011011011101": 7.420912458951109e-07, + "011011011110": 7.748851728397743e-07, + "011011011111": 1.910447735635795e-05, + "011011100000": 3.091830604285112e-08, + "011011100001": 5.343174324631355e-09, + "011011100010": 5.1958341499860305e-09, + "011011100011": 2.987734657202887e-08, + "011011100100": 5.1975056349037686e-09, + "011011100101": 2.8550842780666256e-08, + "011011100110": 2.992506787459027e-08, + "011011100111": 8.00606345257067e-07, + "011011101000": 5.12370838832275e-09, + "011011101001": 2.855141187100096e-08, + "011011101010": 2.7769005277733925e-08, + "011011101011": 7.421012259942322e-07, + "011011101100": 2.9074153843162598e-08, + "011011101101": 7.420912453841659e-07, + "011011101110": 7.748894572164569e-07, + "011011101111": 1.910452464445301e-05, + "011011110000": 5.366112729420109e-09, + "011011110001": 2.9913464491154966e-08, + "011011110010": 2.999437456404642e-08, + "011011110011": 8.006045444798013e-07, + "011011110100": 2.9141329465132276e-08, + "011011110101": 7.428954502394517e-07, + "011011110110": 7.748853798481805e-07, + "011011110111": 1.9104524762810458e-05, + "011011111000": 3.052259305254398e-08, + "011011111001": 8.014757878048805e-07, + "011011111010": 7.757442348654056e-07, + "011011111011": 1.9104481336610254e-05, + "011011111100": 8.139710122881997e-07, + "011011111101": 1.912500389513476e-05, + "011011111110": 1.9977091983507547e-05, + "011011111111": 0.0004938936006222196, + "011100000000": 2.07203473187626e-05, + "011100000001": 8.40603847973414e-07, + "011100000010": 8.049817738026856e-07, + "011100000011": 3.146583062646594e-08, + "011100000100": 8.041214795846696e-07, + "011100000101": 2.998459824670629e-08, + "011100000110": 3.0879800175245146e-08, + "011100000111": 5.518967355873625e-09, + "011100001000": 8.041233264119555e-07, + "011100001001": 2.991346449115497e-08, + "011100001010": 2.8584626876712417e-08, + "011100001011": 5.269200700964753e-09, + "011100001100": 3.0842387269658094e-08, + "011100001101": 5.343128149943856e-09, + "011100001110": 5.4427173848316644e-09, + "011100001111": 3.136225424984369e-08, + "011100010000": 8.041235340977573e-07, + "011100010001": 2.991220579257714e-08, + "011100010010": 2.851484612737697e-08, + "011100010011": 5.345464684650361e-09, + "011100010100": 2.8550276910603937e-08, + "011100010101": 5.029277648631499e-09, + "011100010110": 5.19581901625142e-09, + "011100010111": 2.994843299349224e-08, + "011100011000": 3.0842224902977e-08, + "011100011001": 5.419828273414239e-09, + "011100011010": 5.195758139783062e-09, + "011100011011": 2.987734660770886e-08, + "011100011100": 5.445184679358842e-09, + "011100011101": 2.991182428461437e-08, + "011100011110": 3.142373313552177e-08, + "011100011111": 8.396979573842798e-07, + "011100100000": 8.041201348285289e-07, + "011100100001": 2.991347328833382e-08, + "011100100010": 2.8514862880956703e-08, + "011100100011": 5.345464723151014e-09, + "011100100100": 2.8481398376729414e-08, + "011100100101": 5.101124219465601e-09, + "011100100110": 5.2709304669889595e-09, + "011100100111": 3.0876939705904695e-08, + "011100101000": 2.8550982910867477e-08, + "011100101001": 5.101074974627987e-09, + "011100101010": 4.891004625617446e-09, + "011100101011": 2.8584197781851644e-08, + "011100101100": 5.197429763863128e-09, + "011100101101": 2.8550825961207594e-08, + "011100101110": 2.999237512727335e-08, + "011100101111": 8.014955543677456e-07, + "011100110000": 3.084291508201903e-08, + "011100110001": 5.41980873907993e-09, + "011100110010": 5.270849761087777e-09, + "011100110011": 3.080342736057183e-08, + "011100110100": 5.197410370098124e-09, + "011100110101": 2.855008738215018e-08, + "011100110110": 2.9925059255843344e-08, + "011100110111": 8.006063294401315e-07, + "011100111000": 5.444880211952934e-09, + "011100111001": 3.083954465465775e-08, + "011100111010": 2.999223631190797e-08, + "011100111011": 8.00608227997834e-07, + "011100111100": 3.1473796637785e-08, + "011100111101": 8.014648756178258e-07, + "011100111110": 8.368920174797438e-07, + "011100111111": 2.06347571622995e-05, + "011101000000": 8.050043574131899e-07, + "011101000001": 2.9984529335349964e-08, + "011101000010": 2.8585169786685412e-08, + "011101000011": 5.2692017891996695e-09, + "011101000100": 2.855082785420494e-08, + "011101000101": 5.029371460933376e-09, + "011101000110": 5.19580160653694e-09, + "011101000111": 2.994843258057315e-08, + "011101001000": 2.8551517228465583e-08, + "011101001001": 5.101168999471148e-09, + "011101001010": 4.891113367090578e-09, + "011101001011": 2.8584943822220688e-08, + "011101001100": 5.1974123121647316e-09, + "011101001101": 2.8550841211703124e-08, + "011101001110": 2.999237512727335e-08, + "011101001111": 8.014955555527403e-07, + "011101010000": 2.8620635146617977e-08, + "011101010001": 5.029303052730872e-09, + "011101010010": 4.891094364886098e-09, + "011101010011": 2.858420535775002e-08, + "011101010100": 4.822822731555541e-09, + "011101010101": 2.649252936722194e-08, + "011101010110": 2.7768392198318736e-08, + "011101010111": 7.429075211152754e-07, + "011101011000": 5.1236139440499354e-09, + "011101011001": 2.8550656342315056e-08, + "011101011010": 2.7768981230502605e-08, + "011101011011": 7.421010267005531e-07, + "011101011100": 2.9139213964010645e-08, + "011101011101": 7.428988754767692e-07, + "011101011110": 7.757329449929628e-07, + "011101011111": 1.9126063978624874e-05, + "011101100000": 3.091807382831513e-08, + "011101100001": 5.343154892767165e-09, + "011101100010": 5.195815763858263e-09, + "011101100011": 2.987735495987223e-08, + "011101100100": 5.197487175367385e-09, + "011101100101": 2.8550850368426937e-08, + "011101100110": 2.992507499449115e-08, + "011101100111": 8.006063299983998e-07, + "011101101000": 5.123707444408305e-09, + "011101101001": 2.8551404208490306e-08, + "011101101010": 2.776899796047909e-08, + "011101101011": 7.421010261909087e-07, + "011101101100": 2.9074145762707346e-08, + "011101101101": 7.420910466313883e-07, + "011101101110": 7.748892495751614e-07, + "011101101111": 1.9104519521478414e-05, + "011101110000": 5.367672489972302e-09, + "011101110001": 2.991220579257712e-08, + "011101110010": 2.9992798225130066e-08, + "011101110011": 8.006084424078843e-07, + "011101110100": 2.9139771255604932e-08, + "011101110101": 7.428990969359941e-07, + "011101110110": 7.748894572164569e-07, + "011101110111": 1.9104566675530182e-05, + "011101111000": 3.0521148914940154e-08, + "011101111001": 8.014795186804144e-07, + "011101111010": 7.757481412626233e-07, + "011101111011": 1.9104523487151497e-05, + "011101111100": 8.139750915552754e-07, + "011101111101": 1.9125046111090373e-05, + "011101111110": 1.9977135904671525e-05, + "011101111111": 0.0004938947555793642, + "011110000000": 8.430133664992044e-07, + "011110000001": 3.1400046954485626e-08, + "011110000010": 2.9934616752365494e-08, + "011110000011": 5.518480941015791e-09, + "011110000100": 2.9898873555033557e-08, + "011110000101": 5.2668363351254125e-09, + "011110000110": 5.441125049830462e-09, + "011110000111": 3.136247259207388e-08, + "011110001000": 2.9898720720032644e-08, + "011110001001": 5.343174324631355e-09, + "011110001010": 5.122759678911949e-09, + "011110001011": 2.9948575192747945e-08, + "011110001100": 5.443573506981226e-09, + "011110001101": 2.991309123351271e-08, + "011110001110": 3.142373313552177e-08, + "011110001111": 8.396977708341756e-07, + "011110010000": 2.989938788241982e-08, + "011110010001": 5.343154892767165e-09, + "011110010010": 5.197537646845038e-09, + "011110010011": 3.087709165495574e-08, + "011110010100": 5.124455444070305e-09, + "011110010101": 2.8618352676976566e-08, + "011110010110": 2.9993951741679014e-08, + "011110010111": 8.014953713535796e-07, + "011110011000": 5.443272373184493e-09, + "011110011001": 3.084083937157444e-08, + "011110011010": 2.999382005136756e-08, + "011110011011": 8.006043153677162e-07, + "011110011100": 3.147379715172112e-08, + "011110011101": 8.014648761748299e-07, + "011110011110": 8.368918718074147e-07, + "011110011111": 2.0634757462320147e-05, + "011110100000": 2.9972306213242044e-08, + "011110100001": 5.266861945085599e-09, + "011110100010": 5.1228346087210736e-09, + "011110100011": 2.994858397168427e-08, + "011110100100": 5.124549455074144e-09, + "011110100101": 2.861910017266981e-08, + "011110100110": 2.9993967499208585e-08, + "011110100111": 8.014953707265797e-07, + "011110101000": 5.051075148890561e-09, + "011110101001": 2.861892271373541e-08, + "011110101010": 2.783221422991665e-08, + "011110101011": 7.429056505854582e-07, + "011110101100": 2.914077987557692e-08, + "011110101101": 7.428950288661256e-07, + "011110101110": 7.757329449929628e-07, + "011110101111": 1.9126064245825893e-05, + "011110110000": 5.366093055991636e-09, + "011110110001": 2.9913473288333813e-08, + "011110110010": 2.9994382081428414e-08, + "011110110011": 8.006045285924724e-07, + "011110110100": 2.9141321759054255e-08, + "011110110101": 7.428952508364736e-07, + "011110110110": 7.748851728397743e-07, + "011110110111": 1.910451965438168e-05, + "011110111000": 3.052114942178074e-08, + "011110111001": 8.014795180518525e-07, + "011110111010": 7.757481418960219e-07, + "011110111011": 1.9104523501697363e-05, + "011110111100": 8.139749467243541e-07, + "011110111101": 1.9125046363712475e-05, + "011110111110": 1.9977136153447595e-05, + "011110111111": 0.0004938947589305165, + "011111000000": 3.139304654517157e-08, + "011111000001": 5.5165216042447795e-09, + "011111000010": 5.3651773601075745e-09, + "011111000011": 3.136241993091333e-08, + "011111000100": 5.367717334343531e-09, + "011111000101": 2.9984156876175575e-08, + "011111000110": 3.1425213681499095e-08, + "011111000111": 8.396977516237427e-07, + "011111001000": 5.367431542036048e-09, + "011111001001": 3.091433049418083e-08, + "011111001010": 3.006218549612635e-08, + "011111001011": 8.014935227500884e-07, + "011111001100": 3.147528211744972e-08, + "011111001101": 8.014611297521975e-07, + "011111001110": 8.368920174797438e-07, + "011111001111": 2.0634757479543116e-05, + "011111010000": 5.290606317745981e-09, + "011111010001": 2.9984529335349964e-08, + "011111010010": 3.0062730974468e-08, + "011111010011": 8.0149373674828e-07, + "011111010100": 2.920743525118911e-08, + "011111010101": 7.437009380308416e-07, + "011111010110": 7.757290376891291e-07, + "011111010111": 1.912606412607033e-05, + "011111011000": 3.0522601165786824e-08, + "011111011001": 8.014757720065122e-07, + "011111011010": 7.757440265705228e-07, + "011111011011": 1.9104476228181627e-05, + "011111011100": 8.139750909294276e-07, + "011111011101": 1.912504612563981e-05, + "011111011110": 1.9977136153447595e-05, + "011111011111": 0.0004938947588919312, + "011111100000": 5.5414089299323265e-09, + "011111100001": 3.140004695448564e-08, + "011111100010": 3.149698183977374e-08, + "011111100011": 8.396960651362197e-07, + "011111100100": 3.1547277532753585e-08, + "011111100101": 8.023515923287638e-07, + "011111100110": 8.368880739288143e-07, + "011111100111": 2.0634757317759325e-05, + "011111101000": 3.0592385297911547e-08, + "011111101001": 8.023660156266575e-07, + "011111101010": 7.765894832291989e-07, + "011111101011": 1.912602062204495e-05, + "011111101100": 8.139710080056662e-07, + "011111101101": 1.9124998769035252e-05, + "011111101110": 1.9977135904671525e-05, + "011111101111": 0.0004938947589115243, + "011111110000": 3.204258474445278e-08, + "011111110001": 8.406038479734126e-07, + "011111110010": 8.378318011944544e-07, + "011111110011": 2.0634715913799596e-05, + "011111110100": 8.148730394976497e-07, + "011111110101": 1.9146572017404983e-05, + "011111110110": 1.9977091983507547e-05, + "011111110111": 0.0004938947554409051, + "011111111000": 8.534965182538875e-07, + "011111111001": 2.065725637625408e-05, + "011111111010": 2.0000004158509757e-05, + "011111111011": 0.0004938936317614948, + "011111111100": 2.098562926629861e-05, + "011111111101": 0.0004944241242462, + "011111111110": 0.0005164436393737803, + "011111111111": 0.01276700349001308, + "100000000000": 0.012767003490013067, + "100000000001": 0.0005164436393737803, + "100000000010": 0.0004944241242461998, + "100000000011": 2.0985629266298594e-05, + "100000000100": 0.0004938936317614945, + "100000000101": 2.0000004158509744e-05, + "100000000110": 2.0657256376254074e-05, + "100000000111": 8.534965182538863e-07, + "100000001000": 0.0004938947554409047, + "100000001001": 1.9977091983507534e-05, + "100000001010": 1.9146572017404983e-05, + "100000001011": 8.148730394976485e-07, + "100000001100": 2.063471591379959e-05, + "100000001101": 8.378318011944532e-07, + "100000001110": 8.406038479734133e-07, + "100000001111": 3.2042584744452755e-08, + "100000010000": 0.000493894758911524, + "100000010001": 1.9977135904671508e-05, + "100000010010": 1.912499876903524e-05, + "100000010011": 8.139710080056649e-07, + "100000010100": 1.912602062204495e-05, + "100000010101": 7.765894832291989e-07, + "100000010110": 8.023660156266573e-07, + "100000010111": 3.0592385297911514e-08, + "100000011000": 2.0634757317759314e-05, + "100000011001": 8.368880739288132e-07, + "100000011010": 8.023515923287633e-07, + "100000011011": 3.154727753275356e-08, + "100000011100": 8.396960651362204e-07, + "100000011101": 3.149698183977373e-08, + "100000011110": 3.140004695448562e-08, + "100000011111": 5.541408929932321e-09, + "100000100000": 0.0004938947588919309, + "100000100001": 1.9977136153447578e-05, + "100000100010": 1.9125046125639804e-05, + "100000100011": 8.139750909294264e-07, + "100000100100": 1.9104476228181614e-05, + "100000100101": 7.757440265705228e-07, + "100000100110": 8.014757720065122e-07, + "100000100111": 3.052260116578679e-08, + "100000101000": 1.912606412607033e-05, + "100000101001": 7.757290376891291e-07, + "100000101010": 7.437009380308414e-07, + "100000101011": 2.920743525118907e-08, + "100000101100": 8.014937367482795e-07, + "100000101101": 3.006273097446797e-08, + "100000101110": 2.9984529335349964e-08, + "100000101111": 5.290606317745981e-09, + "100000110000": 2.0634757479543105e-05, + "100000110001": 8.36892017479743e-07, + "100000110010": 8.014611297521978e-07, + "100000110011": 3.147528211744969e-08, + "100000110100": 8.014935227500884e-07, + "100000110101": 3.0062185496126326e-08, + "100000110110": 3.091433049418083e-08, + "100000110111": 5.367431542036048e-09, + "100000111000": 8.396977516237437e-07, + "100000111001": 3.142521368149909e-08, + "100000111010": 2.9984156876175575e-08, + "100000111011": 5.367717334343531e-09, + "100000111100": 3.136241993091331e-08, + "100000111101": 5.365177360107576e-09, + "100000111110": 5.516521604244776e-09, + "100000111111": 3.139304654517157e-08, + "100001000000": 0.0004938947589305161, + "100001000001": 1.9977136153447578e-05, + "100001000010": 1.9125046363712468e-05, + "100001000011": 8.13974946724353e-07, + "100001000100": 1.9104523501697346e-05, + "100001000101": 7.757481418960219e-07, + "100001000110": 8.014795180518523e-07, + "100001000111": 3.052114942178071e-08, + "100001001000": 1.9104519654381668e-05, + "100001001001": 7.748851728397743e-07, + "100001001010": 7.428952508364735e-07, + "100001001011": 2.9141321759054218e-08, + "100001001100": 8.006045285924721e-07, + "100001001101": 2.999438208142839e-08, + "100001001110": 2.991347328833382e-08, + "100001001111": 5.366093055991634e-09, + "100001010000": 1.9126064245825893e-05, + "100001010001": 7.757329449929628e-07, + "100001010010": 7.428950288661256e-07, + "100001010011": 2.914077987557689e-08, + "100001010100": 7.429056505854582e-07, + "100001010101": 2.783221422991664e-08, + "100001010110": 2.861892271373541e-08, + "100001010111": 5.051075148890561e-09, + "100001011000": 8.01495370726579e-07, + "100001011001": 2.999396749920855e-08, + "100001011010": 2.86191001726698e-08, + "100001011011": 5.124549455074144e-09, + "100001011100": 2.994858397168427e-08, + "100001011101": 5.1228346087210736e-09, + "100001011110": 5.266861945085599e-09, + "100001011111": 2.997230621324205e-08, + "100001100000": 2.063475746232014e-05, + "100001100001": 8.368918718074134e-07, + "100001100010": 8.014648761748298e-07, + "100001100011": 3.1473797151721083e-08, + "100001100100": 8.006043153677162e-07, + "100001100101": 2.999382005136753e-08, + "100001100110": 3.084083937157444e-08, + "100001100111": 5.44327237318449e-09, + "100001101000": 8.014953713535796e-07, + "100001101001": 2.9993951741679e-08, + "100001101010": 2.8618352676976556e-08, + "100001101011": 5.124455444070303e-09, + "100001101100": 3.087709165495574e-08, + "100001101101": 5.19753764684504e-09, + "100001101110": 5.343154892767167e-09, + "100001101111": 2.989938788241982e-08, + "100001110000": 8.396977708341761e-07, + "100001110001": 3.1423733135521746e-08, + "100001110010": 2.991309123351271e-08, + "100001110011": 5.443573506981226e-09, + "100001110100": 2.9948575192747945e-08, + "100001110101": 5.122759678911949e-09, + "100001110110": 5.343174324631354e-09, + "100001110111": 2.9898720720032644e-08, + "100001111000": 3.136247259207387e-08, + "100001111001": 5.441125049830462e-09, + "100001111010": 5.2668363351254125e-09, + "100001111011": 2.9898873555033557e-08, + "100001111100": 5.5184809410157925e-09, + "100001111101": 2.9934616752365494e-08, + "100001111110": 3.140004695448564e-08, + "100001111111": 8.430133664992048e-07, + "100010000000": 0.0004938947555793639, + "100010000001": 1.9977135904671508e-05, + "100010000010": 1.9125046111090366e-05, + "100010000011": 8.139750915552746e-07, + "100010000100": 1.910452348715148e-05, + "100010000101": 7.757481412626233e-07, + "100010000110": 8.01479518680414e-07, + "100010000111": 3.0521148914940115e-08, + "100010001000": 1.910456667553017e-05, + "100010001001": 7.748894572164569e-07, + "100010001010": 7.428990969359941e-07, + "100010001011": 2.9139771255604895e-08, + "100010001100": 8.006084424078843e-07, + "100010001101": 2.9992798225130046e-08, + "100010001110": 2.991220579257714e-08, + "100010001111": 5.3676724899723e-09, + "100010010000": 1.91045195214784e-05, + "100010010001": 7.748892495751614e-07, + "100010010010": 7.420910466313881e-07, + "100010010011": 2.907414576270732e-08, + "100010010100": 7.421010261909087e-07, + "100010010101": 2.776899796047907e-08, + "100010010110": 2.8551404208490296e-08, + "100010010111": 5.123707444408305e-09, + "100010011000": 8.006063299983994e-07, + "100010011001": 2.992507499449113e-08, + "100010011010": 2.8550850368426927e-08, + "100010011011": 5.197487175367388e-09, + "100010011100": 2.987735495987223e-08, + "100010011101": 5.195815763858263e-09, + "100010011110": 5.343154892767167e-09, + "100010011111": 3.0918073828315146e-08, + "100010100000": 1.9126063978624874e-05, + "100010100001": 7.757329449929628e-07, + "100010100010": 7.42898875476769e-07, + "100010100011": 2.9139213964010618e-08, + "100010100100": 7.421010267005531e-07, + "100010100101": 2.776898123050259e-08, + "100010100110": 2.8550656342315046e-08, + "100010100111": 5.1236139440499354e-09, + "100010101000": 7.429075211152754e-07, + "100010101001": 2.7768392198318716e-08, + "100010101010": 2.649252936722193e-08, + "100010101011": 4.822822731555541e-09, + "100010101100": 2.8584205357750012e-08, + "100010101101": 4.8910943648860995e-09, + "100010101110": 5.029303052730874e-09, + "100010101111": 2.8620635146617997e-08, + "100010110000": 8.014955555527403e-07, + "100010110001": 2.9992375127273336e-08, + "100010110010": 2.8550841211703114e-08, + "100010110011": 5.1974123121647316e-09, + "100010110100": 2.858494382222068e-08, + "100010110101": 4.89111336709058e-09, + "100010110110": 5.101168999471148e-09, + "100010110111": 2.85515172284656e-08, + "100010111000": 2.994843258057315e-08, + "100010111001": 5.19580160653694e-09, + "100010111010": 5.02937146093338e-09, + "100010111011": 2.855082785420495e-08, + "100010111100": 5.2692017891996695e-09, + "100010111101": 2.8585169786685422e-08, + "100010111110": 2.9984529335349964e-08, + "100010111111": 8.050043574131897e-07, + "100011000000": 2.06347571622995e-05, + "100011000001": 8.36892017479743e-07, + "100011000010": 8.014648756178255e-07, + "100011000011": 3.147379663778497e-08, + "100011000100": 8.00608227997834e-07, + "100011000101": 2.999223631190797e-08, + "100011000110": 3.083954465465775e-08, + "100011000111": 5.444880211952933e-09, + "100011001000": 8.006063294401315e-07, + "100011001001": 2.992505925584334e-08, + "100011001010": 2.855008738215018e-08, + "100011001011": 5.197410370098126e-09, + "100011001100": 3.080342736057183e-08, + "100011001101": 5.2708497610877785e-09, + "100011001110": 5.419808739079932e-09, + "100011001111": 3.0842915082019044e-08, + "100011010000": 8.014955543677454e-07, + "100011010001": 2.9992375127273336e-08, + "100011010010": 2.8550825961207575e-08, + "100011010011": 5.1974297638631325e-09, + "100011010100": 2.8584197781851644e-08, + "100011010101": 4.891004625617446e-09, + "100011010110": 5.101074974627987e-09, + "100011010111": 2.8550982910867507e-08, + "100011011000": 3.0876939705904695e-08, + "100011011001": 5.270930466988961e-09, + "100011011010": 5.101124219465603e-09, + "100011011011": 2.8481398376729434e-08, + "100011011100": 5.345464723151016e-09, + "100011011101": 2.8514862880956703e-08, + "100011011110": 2.9913473288333813e-08, + "100011011111": 8.041201348285289e-07, + "100011100000": 8.396979573842802e-07, + "100011100001": 3.1423733135521746e-08, + "100011100010": 2.991182428461437e-08, + "100011100011": 5.4451846793588405e-09, + "100011100100": 2.987734660770886e-08, + "100011100101": 5.195758139783064e-09, + "100011100110": 5.419828273414236e-09, + "100011100111": 3.0842224902977e-08, + "100011101000": 2.994843299349223e-08, + "100011101001": 5.19581901625142e-09, + "100011101010": 5.029277648631502e-09, + "100011101011": 2.8550276910603957e-08, + "100011101100": 5.345464684650363e-09, + "100011101101": 2.851484612737697e-08, + "100011101110": 2.991220579257714e-08, + "100011101111": 8.041235340977573e-07, + "100011110000": 3.1362254249843685e-08, + "100011110001": 5.4427173848316644e-09, + "100011110010": 5.343128149943853e-09, + "100011110011": 3.0842387269658094e-08, + "100011110100": 5.269200700964752e-09, + "100011110101": 2.8584626876712427e-08, + "100011110110": 2.9913464491154966e-08, + "100011110111": 8.041233264119553e-07, + "100011111000": 5.518967355873625e-09, + "100011111001": 3.087980017524513e-08, + "100011111010": 2.998459824670629e-08, + "100011111011": 8.041214795846694e-07, + "100011111100": 3.146583062646594e-08, + "100011111101": 8.04981773802685e-07, + "100011111110": 8.406038479734122e-07, + "100011111111": 2.0720347318762615e-05, + "100100000000": 0.0004938936006222193, + "100100000001": 1.9977091983507534e-05, + "100100000010": 1.9125003895134755e-05, + "100100000011": 8.139710122881985e-07, + "100100000100": 1.910448133661024e-05, + "100100000101": 7.757442348654056e-07, + "100100000110": 8.0147578780488e-07, + "100100000111": 3.052259305254395e-08, + "100100001000": 1.910452476281045e-05, + "100100001001": 7.748853798481805e-07, + "100100001010": 7.428954502394517e-07, + "100100001011": 2.914132946513224e-08, + "100100001100": 8.006045444798012e-07, + "100100001101": 2.999437456404639e-08, + "100100001110": 2.991346449115497e-08, + "100100001111": 5.366112729420109e-09, + "100100010000": 1.9104524644453e-05, + "100100010001": 7.748894572164569e-07, + "100100010010": 7.420912453841657e-07, + "100100010011": 2.907415384316256e-08, + "100100010100": 7.42101225994232e-07, + "100100010101": 2.7769005277733905e-08, + "100100010110": 2.855141187100095e-08, + "100100010111": 5.12370838832275e-09, + "100100011000": 8.006063452570668e-07, + "100100011001": 2.992506787459025e-08, + "100100011010": 2.855084278066624e-08, + "100100011011": 5.1975056349037686e-09, + "100100011100": 2.987734657202887e-08, + "100100011101": 5.195834149986028e-09, + "100100011110": 5.343174324631355e-09, + "100100011111": 3.091830604285113e-08, + "100100100000": 1.9104477356357932e-05, + "100100100001": 7.748851728397743e-07, + "100100100010": 7.420912458951109e-07, + "100100100011": 2.9074138336829207e-08, + "100100100100": 7.412942737881063e-07, + "100100100101": 2.7706950353016745e-08, + "100100100110": 2.8483986214882952e-08, + "100100100111": 5.196366194493685e-09, + "100100101000": 7.42099250004012e-07, + "100100101001": 2.7706345244681005e-08, + "100100101010": 2.6430648174257812e-08, + "100100101011": 4.890751029095405e-09, + "100100101100": 2.851791658238033e-08, + "100100101101": 4.959459355758688e-09, + "100100101110": 5.101168999471145e-09, + "100100101111": 2.951112522997538e-08, + "100100110000": 8.006026163327349e-07, + "100100110001": 2.9925059255843324e-08, + "100100110010": 2.848342415917167e-08, + "100100110011": 5.2704817291043076e-09, + "100100110100": 2.851792426393104e-08, + "100100110101": 4.959351672206242e-09, + "100100110110": 5.173339989911741e-09, + "100100110111": 2.9439683876875082e-08, + "100100111000": 2.987846338701497e-08, + "100100111001": 5.268913168493699e-09, + "100100111010": 5.101125977539032e-09, + "100100111011": 2.9438974538456298e-08, + "100100111100": 5.3444398460895485e-09, + "100100111101": 2.947432674736375e-08, + "100100111110": 3.0914330494180827e-08, + "100100111111": 8.289584114072541e-07, + "100101000000": 1.9126021716652395e-05, + "100101000001": 7.757290376891291e-07, + "100101000010": 7.428952278400009e-07, + "100101000011": 2.9140772056426704e-08, + "100101000100": 7.421012255635956e-07, + "100101000101": 2.7768988547771355e-08, + "100101000110": 2.8550648754527856e-08, + "100101000111": 5.1236322155142425e-09, + "100101001000": 7.420992490641982e-07, + "100101001001": 2.7706345244681005e-08, + "100101001010": 2.6430631977470418e-08, + "100101001011": 4.8907688590659364e-09, + "100101001100": 2.85171701772108e-08, + "100101001101": 4.9593504923695624e-09, + "100101001110": 5.101074974627987e-09, + "100101001111": 2.9510588969924716e-08, + "100101010000": 7.429040735682779e-07, + "100101010001": 2.7768392198318716e-08, + "100101010010": 2.6430640137524823e-08, + "100101010011": 4.890661945367568e-09, + "100101010100": 2.6461977443770995e-08, + "100101010101": 4.601835868355304e-09, + "100101010110": 4.800415807914553e-09, + "100101010111": 2.7317501528666237e-08, + "100101011000": 2.8585243481953785e-08, + "100101011001": 4.9593186005065635e-09, + "100101011010": 4.800480376790071e-09, + "100101011011": 2.72514514139224e-08, + "100101011100": 5.030463933278117e-09, + "100101011101": 2.7283436378332904e-08, + "100101011110": 2.86189227137354e-08, + "100101011111": 7.683712468021941e-07, + "100101100000": 8.014918622104479e-07, + "100101100001": 2.999395174167899e-08, + "100101100010": 2.855083391844636e-08, + "100101100011": 5.197448187646122e-09, + "100101100100": 2.8517924551378092e-08, + "100101100101": 4.95936960206428e-09, + "100101100110": 5.173245706715576e-09, + "100101100111": 2.9439130305804862e-08, + "100101101000": 2.858598993696997e-08, + "100101101001": 4.959445382712925e-09, + "100101101010": 4.800480360874497e-09, + "100101101011": 2.7251433926261884e-08, + "100101101100": 5.102283360986944e-09, + "100101101101": 2.7217614788561246e-08, + "100101101110": 2.8551404208490296e-08, + "100101101111": 7.67541399091437e-07, + "100101110000": 2.9949465203183224e-08, + "100101110001": 5.19581901625142e-09, + "100101110010": 5.10112515563661e-09, + "100101110011": 2.943842902882125e-08, + "100101110100": 5.030556711946558e-09, + "100101110101": 2.7283427276987252e-08, + "100101110110": 2.855141187100095e-08, + "100101110111": 7.675448388679447e-07, + "100101111000": 5.2685429597013155e-09, + "100101111001": 2.9474353723337493e-08, + "100101111010": 2.8619522485477196e-08, + "100101111011": 7.675428917408555e-07, + "100101111100": 3.003333210854195e-08, + "100101111101": 7.683640379081188e-07, + "100101111110": 8.023660156266575e-07, + "100101111111": 1.9777762152506488e-05, + "100110000000": 2.063471705832303e-05, + "100110000001": 8.368880739288132e-07, + "100110000010": 8.014613518696774e-07, + "100110000011": 3.147527387711172e-08, + "100110000100": 8.006045368094751e-07, + "100110000101": 2.999382829124973e-08, + "100110000110": 3.084083085962243e-08, + "100110000111": 5.44329215358373e-09, + "100110001000": 8.006065514383428e-07, + "100110001001": 2.992506787459025e-08, + "100110001010": 2.8550095332630422e-08, + "100110001011": 5.197411356300897e-09, + "100110001100": 3.0803419262646546e-08, + "100110001101": 5.270868318656667e-09, + "100110001110": 5.419828273414239e-09, + "100110001111": 3.084314658375154e-08, + "100110010000": 8.006028218876018e-07, + "100110010001": 2.992507499449113e-08, + "100110010010": 2.8483424446812918e-08, + "100110010011": 5.27048170725462e-09, + "100110010100": 2.8517178146590517e-08, + "100110010101": 4.959242855239653e-09, + "100110010110": 5.173245706715576e-09, + "100110010111": 2.9439147056773614e-08, + "100110011000": 3.0804562732618274e-08, + "100110011001": 5.344353293567518e-09, + "100110011010": 5.173183035688705e-09, + "100110011011": 2.9367216296839014e-08, + "100110011100": 5.4210409785643655e-09, + "100110011101": 2.940166802444106e-08, + "100110011110": 3.084083937157443e-08, + "100110011111": 8.280263200073105e-07, + "100110100000": 8.014920690966165e-07, + "100110100001": 2.999396749920855e-08, + "100110100010": 2.8550849456603255e-08, + "100110100011": 5.1974307141470625e-09, + "100110100100": 2.851792483909438e-08, + "100110100101": 4.959369626275481e-09, + "100110100110": 5.173245679601604e-09, + "100110100111": 2.943913002742128e-08, + "100110101000": 2.8585259319302073e-08, + "100110101001": 4.959318600506562e-09, + "100110101010": 4.800357612446868e-09, + "100110101011": 2.7250736990116776e-08, + "100110101100": 5.102171776554763e-09, + "100110101101": 2.7216901491349922e-08, + "100110101110": 2.8550656342315046e-08, + "100110101111": 7.675215529981874e-07, + "100110110000": 3.087799635463558e-08, + "100110110001": 5.270930466988961e-09, + "100110110010": 5.173276453171138e-09, + "100110110011": 2.936720720187848e-08, + "100110110100": 5.10226480649587e-09, + "100110110101": 2.7216909877506634e-08, + "100110110110": 2.8483986214882952e-08, + "100110110111": 7.666933611457228e-07, + "100110111000": 5.344786419960068e-09, + "100110111001": 2.9402231425931876e-08, + "100110111010": 2.8551273389754418e-08, + "100110111011": 7.666950755428878e-07, + "100110111100": 2.9961969229031555e-08, + "100110111101": 7.675150788068953e-07, + "100110111110": 8.014757720065126e-07, + "100110111111": 1.9754968575039015e-05, + "100111000000": 8.396943143644621e-07, + "100111000001": 3.142521368149909e-08, + "100111000010": 2.9913099791703603e-08, + "100111000011": 5.443593319234035e-09, + "100111000100": 2.987735514861404e-08, + "100111000101": 5.1957591162936325e-09, + "100111000110": 5.419847877924928e-09, + "100111000111": 3.084245640471376e-08, + "100111001000": 2.987848072843408e-08, + "100111001001": 5.268913168493699e-09, + "100111001010": 5.1010319560112215e-09, + "100111001011": 2.9438420820509973e-08, + "100111001100": 5.421041009945923e-09, + "100111001101": 2.9401650999065162e-08, + "100111001110": 3.0839544654657746e-08, + "100111001111": 8.280295886382821e-07, + "100111010000": 2.994948215012704e-08, + "100111010001": 5.19580160653694e-09, + "100111010010": 5.101125174620294e-09, + "100111010011": 2.9438428750469705e-08, + "100111010100": 5.030445533140413e-09, + "100111010101": 2.7282714207641695e-08, + "100111010110": 2.8550648754527856e-08, + "100111010111": 7.675248026101884e-07, + "100111011000": 5.34478648960675e-09, + "100111011001": 2.9402231425931876e-08, + "100111011010": 2.8551258139662586e-08, + "100111011011": 7.666948857818718e-07, + "100111011100": 2.9960705582327496e-08, + "100111011101": 7.675185498976147e-07, + "100111011110": 8.014795180518525e-07, + "100111011111": 1.9755012673221677e-05, + "100111100000": 3.136335189480584e-08, + "100111100001": 5.441125049830464e-09, + "100111100010": 5.343128819533015e-09, + "100111100011": 3.0842619185222655e-08, + "100111100100": 5.3444199847081614e-09, + "100111100101": 2.9473781487594618e-08, + "100111100110": 3.084083085962241e-08, + "100111100111": 8.280293782928417e-07, + "100111101000": 5.268524345031846e-09, + "100111101001": 2.9474353723337493e-08, + "100111101010": 2.861877514389756e-08, + "100111101011": 7.675228561665212e-07, + "100111101100": 2.996196964905507e-08, + "100111101101": 7.675148894723993e-07, + "100111101110": 8.014795186804144e-07, + "100111101111": 1.9755012976889874e-05, + "100111110000": 5.518267969932709e-09, + "100111110001": 3.087980017524515e-08, + "100111110010": 3.0914169905195555e-08, + "100111110011": 8.280276980481653e-07, + "100111110100": 3.003310434340766e-08, + "100111110101": 7.683442103803264e-07, + "100111110110": 8.014757878048805e-07, + "100111110111": 1.975501285163034e-05, + "100111111000": 3.14566180910801e-08, + "100111111001": 8.289285543791825e-07, + "100111111010": 8.023607995029713e-07, + "100111111011": 1.975496792404253e-05, + "100111111100": 8.418988476910923e-07, + "100111111101": 1.9776189632509496e-05, + "100111111110": 2.0657256376254067e-05, + "100111111111": 0.0005107166890396082, + "101000000000": 0.0004944595212390684, + "101000000001": 2.0000004158509744e-05, + "101000000010": 1.9146943785297715e-05, + "101000000011": 8.148736796348224e-07, + "101000000100": 1.9126397715370128e-05, + "101000000101": 7.766044728999568e-07, + "101000000110": 8.023607995029712e-07, + "101000000111": 3.0592475408189495e-08, + "101000001000": 1.9126441208267752e-05, + "101000001001": 7.757442348654056e-07, + "101000001010": 7.437153066543754e-07, + "101000001011": 2.9208061196411276e-08, + "101000001100": 8.014885333230999e-07, + "101000001101": 3.006259024554061e-08, + "101000001110": 2.99845982467063e-08, + "101000001111": 5.290563963274236e-09, + "101000010000": 1.9126441328013406e-05, + "101000010001": 7.757481412626233e-07, + "101000010010": 7.429095916893143e-07, + "101000010011": 2.914142293386088e-08, + "101000010100": 7.429200037998727e-07, + "101000010101": 2.783281093760319e-08, + "101000010110": 2.8619522485477206e-08, + "101000010111": 5.051128084988827e-09, + "101000011000": 8.014901673886511e-07, + "101000011001": 2.9993828291249726e-08, + "101000011010": 2.8618952590490736e-08, + "101000011011": 5.1244902406344395e-09, + "101000011100": 2.994865276729401e-08, + "101000011101": 5.122793588595213e-09, + "101000011110": 5.26683633512541e-09, + "101000011111": 2.997195443232057e-08, + "101000100000": 1.912644107537974e-05, + "101000100001": 7.757481418960219e-07, + "101000100010": 7.429134380189325e-07, + "101000100011": 2.9139857289414484e-08, + "101000100100": 7.421155743951357e-07, + "101000100101": 2.776959415648904e-08, + "101000100110": 2.8551273389754412e-08, + "101000100111": 5.123648342543452e-09, + "101000101000": 7.429218749729543e-07, + "101000101001": 2.776898854777137e-08, + "101000101010": 2.6493085522772696e-08, + "101000101011": 4.822873423867026e-09, + "101000101100": 2.8584804448360805e-08, + "101000101101": 4.891146054339068e-09, + "101000101110": 5.02937146093338e-09, + "101000101111": 2.8620828426816805e-08, + "101000110000": 8.014903515857297e-07, + "101000110001": 2.9992236311907955e-08, + "101000110010": 2.8550695415018917e-08, + "101000110011": 5.197351568203457e-09, + "101000110100": 2.8584796872652334e-08, + "101000110101": 4.891056338400992e-09, + "101000110110": 5.101125977539035e-09, + "101000110111": 2.8551193342705054e-08, + "101000111000": 2.994850178545436e-08, + "101000111001": 5.195759116293634e-09, + "101000111010": 5.029346067922184e-09, + "101000111011": 2.855048764744668e-08, + "101000111100": 5.269175709280788e-09, + "101000111101": 2.8584828894561497e-08, + "101000111110": 2.9984156876175575e-08, + "101000111111": 8.049956799300282e-07, + "101001000000": 1.9126393683778007e-05, + "101001000001": 7.757440265705228e-07, + "101001000010": 7.429095912597493e-07, + "101001000011": 2.9141407408793532e-08, + "101001000100": 7.421155734543248e-07, + "101001000101": 2.776959415648904e-08, + "101001000110": 2.8551258139662586e-08, + "101001000111": 5.123665670030196e-09, + "101001001000": 7.421135978790549e-07, + "101001001001": 2.7706950353016745e-08, + "101001001010": 2.6431196845998856e-08, + "101001001011": 4.890801044662848e-09, + "101001001100": 2.851777872389926e-08, + "101001001101": 4.959383579885894e-09, + "101001001110": 5.101124219465601e-09, + "101001001111": 2.951055296629407e-08, + "101001010000": 7.429182272495931e-07, + "101001010001": 2.776898123050259e-08, + "101001010010": 2.6431188809379716e-08, + "101001010011": 4.890711984311511e-09, + "101001010100": 2.64625260330508e-08, + "101001010101": 4.601883243885776e-09, + "101001010110": 4.800480376790071e-09, + "101001010111": 2.7317685194522958e-08, + "101001011000": 2.858583503197978e-08, + "101001011001": 4.959369626275481e-09, + "101001011010": 4.8005449174493e-09, + "101001011011": 2.7251633857942735e-08, + "101001011100": 5.030531410376228e-09, + "101001011101": 2.7283619206582567e-08, + "101001011110": 2.8619100172669782e-08, + "101001011111": 7.683772593849547e-07, + "101001100000": 8.01486642994714e-07, + "101001100001": 2.999382005136753e-08, + "101001100010": 2.855069570953732e-08, + "101001100011": 5.197368984022879e-09, + "101001100100": 2.8517786692923984e-08, + "101001100101": 4.959293871837682e-09, + "101001100110": 5.173183035688705e-09, + "101001100111": 2.9438575625681662e-08, + "101001101000": 2.8585850581313895e-08, + "101001101001": 4.959369602064278e-09, + "101001101010": 4.800422157990114e-09, + "101001101011": 2.7250919582448042e-08, + "101001101100": 5.1022218206236256e-09, + "101001101101": 2.7217100541547276e-08, + "101001101110": 2.8550850368426927e-08, + "101001101111": 7.675277810463573e-07, + "101001110000": 2.9949542803326365e-08, + "101001110001": 5.195758139783062e-09, + "101001110010": 5.1010803712002235e-09, + "101001110011": 2.9437857761007715e-08, + "101001110100": 5.030512991339143e-09, + "101001110101": 2.7282897184060475e-08, + "101001110110": 2.8550842780666256e-08, + "101001110111": 7.675310296979337e-07, + "101001111000": 5.268497726209528e-09, + "101001111001": 2.9473781487594608e-08, + "101001111010": 2.8618952590490726e-08, + "101001111011": 7.675290837659133e-07, + "101001111100": 3.0032734205363644e-08, + "101001111101": 7.683502150084712e-07, + "101001111110": 8.023515923287633e-07, + "101001111111": 1.9777404493417694e-05, + "101010000000": 1.9147968179557882e-05, + "101010000001": 7.765894832291989e-07, + "101010000010": 7.437152992927751e-07, + "101010000011": 2.9207520091378022e-08, + "101010000100": 7.429202184161706e-07, + "101010000101": 2.783281093760319e-08, + "101010000110": 2.861877514389756e-08, + "101010000111": 5.05103481741595e-09, + "101010001000": 7.429220890796034e-07, + "101010001001": 2.7769005277733905e-08, + "101010001010": 2.649308568127686e-08, + "101010001011": 4.822873413460062e-09, + "101010001100": 2.8584058692678932e-08, + "101010001101": 4.891037325829106e-09, + "101010001110": 5.029277648631502e-09, + "101010001111": 2.8620294228980483e-08, + "101010010000": 7.429184422964934e-07, + "101010010001": 2.776899796047907e-08, + "101010010010": 2.6431205164680694e-08, + "101010010011": 4.890694143970968e-09, + "101010010100": 2.6462526191685986e-08, + "101010010101": 4.601883257065162e-09, + "101010010110": 4.800480360874497e-09, + "101010010111": 2.7317685047625614e-08, + "101010011000": 2.8585104411033697e-08, + "101010011001": 4.959242855239653e-09, + "101010011010": 4.800422157990114e-09, + "101010011011": 2.725093692319219e-08, + "101010011100": 5.030420197195932e-09, + "101010011101": 2.7282906138515367e-08, + "101010011110": 2.8618352676976556e-08, + "101010011111": 7.683574190125355e-07, + "101010100000": 7.437246057261023e-07, + "101010100001": 2.783221422991664e-08, + "101010100010": 2.6493094011320927e-08, + "101010100011": 4.8227843176567594e-09, + "101010100100": 2.6462542558418173e-08, + "101010100101": 4.601883243885778e-09, + "101010100110": 4.800357612446868e-09, + "101010100111": 2.731697087480615e-08, + "101010101000": 2.6525023036345964e-08, + "101010101001": 4.601835868355304e-09, + "101010101010": 4.454347327573649e-09, + "101010101011": 2.528633036175358e-08, + "101010101100": 4.7344069936621466e-09, + "101010101101": 2.525493343811908e-08, + "101010101110": 2.649252936722193e-08, + "101010101111": 7.121945184270001e-07, + "101010110000": 2.865274158351431e-08, + "101010110001": 4.891004625617446e-09, + "101010110010": 4.800403771937099e-09, + "101010110011": 2.7250214806674598e-08, + "101010110100": 4.734510838568318e-09, + "101010110101": 2.5254925235135214e-08, + "101010110110": 2.6430648174257812e-08, + "101010110111": 7.114258259287226e-07, + "101010111000": 4.959552466694504e-09, + "101010111001": 2.7282714207641695e-08, + "101010111010": 2.6493085522772696e-08, + "101010111011": 7.114274175724247e-07, + "101010111100": 2.780208807808636e-08, + "101010111101": 7.121883102672308e-07, + "101010111110": 7.437009380308414e-07, + "101010111111": 1.8330918455331553e-05, + "101011000000": 8.023775918517794e-07, + "101011000001": 3.0062185496126326e-08, + "101011000010": 2.8618961547456228e-08, + "101011000011": 5.1244154945556025e-09, + "101011000100": 2.8584814986387636e-08, + "101011000101": 4.891056338400992e-09, + "101011000110": 5.101031956011224e-09, + "101011000111": 2.855064212399572e-08, + "101011001000": 2.858586840766829e-08, + "101011001001": 4.959351672206242e-09, + "101011001010": 4.800422165717227e-09, + "101011001011": 2.7250919435478026e-08, + "101011001100": 5.102110293372088e-09, + "101011001101": 2.7216387369101e-08, + "101011001110": 2.855008738215016e-08, + "101011001111": 7.675077484115357e-07, + "101011010000": 2.8653489793864748e-08, + "101011010001": 4.89111336709058e-09, + "101011010010": 4.800526538947266e-09, + "101011010011": 2.725091147095818e-08, + "101011010100": 4.734510862105417e-09, + "101011010101": 2.5254925235135214e-08, + "101011010110": 2.6430631977470418e-08, + "101011010111": 7.114256246550605e-07, + "101011011000": 5.030944279585139e-09, + "101011011001": 2.7216909877506634e-08, + "101011011010": 2.6431196845998856e-08, + "101011011011": 7.106568341347676e-07, + "101011011100": 2.7736011707280804e-08, + "101011011101": 7.114202788433217e-07, + "101011011110": 7.428952508364735e-07, + "101011011111": 1.8310260202990457e-05, + "101011100000": 3.002016262472701e-08, + "101011100001": 5.122759678911949e-09, + "101011100010": 5.029326644666407e-09, + "101011100011": 2.854994463309139e-08, + "101011100100": 5.030494382653596e-09, + "101011100101": 2.7282897184060475e-08, + "101011100110": 2.8550095332630412e-08, + "101011100111": 7.675109973577436e-07, + "101011101000": 4.959644583879392e-09, + "101011101001": 2.7283427276987252e-08, + "101011101010": 2.649308568127686e-08, + "101011101011": 7.114272167337905e-07, + "101011101100": 2.773602701727608e-08, + "101011101101": 7.114202792775422e-07, + "101011101110": 7.428990969359941e-07, + "101011101111": 1.831030578418318e-05, + "101011110000": 5.19428098489141e-09, + "101011110001": 2.8584626876712427e-08, + "101011110010": 2.8618724797643513e-08, + "101011110011": 7.675092563896787e-07, + "101011110100": 2.7802603403816562e-08, + "101011110101": 7.121883219194366e-07, + "101011110110": 7.428954502394517e-07, + "101011110111": 1.8310305923540026e-05, + "101011111000": 2.9120405113004716e-08, + "101011111001": 7.683442103803264e-07, + "101011111010": 7.437153066543754e-07, + "101011111011": 1.8310264296347946e-05, + "101011111100": 7.803634297390825e-07, + "101011111101": 1.8329934073254413e-05, + "101011111110": 1.914657201740497e-05, + "101011111111": 0.0004733681369259637, + "101100000000": 2.0658764095346458e-05, + "101100000001": 8.378318011944532e-07, + "101100000010": 8.023609486572308e-07, + "101100000011": 3.1547369729744745e-08, + "101100000100": 8.015031124371133e-07, + "101100000101": 3.006259024554062e-08, + "101100000110": 3.0914169905195575e-08, + "101100000111": 5.367388248936703e-09, + "101100001000": 8.015049606280319e-07, + "101100001001": 2.99943745640464e-08, + "101100001010": 2.8618724797643523e-08, + "101100001011": 5.124489576165461e-09, + "101100001100": 3.087693150418247e-08, + "101100001101": 5.1974770590791534e-09, + "101100001110": 5.343128149943856e-09, + "101100001111": 2.9899026834635274e-08, + "101100010000": 8.0150514419273e-07, + "101100010001": 2.9992798225130066e-08, + "101100010010": 2.8551215774792767e-08, + "101100010011": 5.197445143463034e-09, + "101100010100": 2.8584569496393096e-08, + "101100010101": 4.891037325829104e-09, + "101100010110": 5.1011251556366145e-09, + "101100010111": 2.8551184290776023e-08, + "101100011000": 3.087677996998288e-08, + "101100011001": 5.270868318656667e-09, + "101100011010": 5.101080371200228e-09, + "101100011011": 2.8481065869087183e-08, + "101100011100": 5.345437497458717e-09, + "101100011101": 2.8514513376078242e-08, + "101100011110": 2.991309123351271e-08, + "101100011111": 8.041112238344005e-07, + "101100100000": 8.015014365340883e-07, + "101100100001": 2.999438208142841e-08, + "101100100010": 2.855123131942519e-08, + "101100100011": 5.197445107541391e-09, + "101100100100": 2.8518306134438676e-08, + "101100100101": 4.959383579885894e-09, + "101100100110": 5.1732764531711365e-09, + "101100100111": 2.943910282964337e-08, + "101100101000": 2.85856232017434e-08, + "101100101001": 4.9593504923695624e-09, + "101100101010": 4.800403771937099e-09, + "101100101011": 2.7250928352279835e-08, + "101100101100": 5.102220988644057e-09, + "101100101101": 2.721709200834425e-08, + "101100101110": 2.8550841211703114e-08, + "101100101111": 7.675275479146496e-07, + "101100110000": 3.087784472222495e-08, + "101100110001": 5.2708497610877785e-09, + "101100110010": 5.173212966224841e-09, + "101100110011": 2.9366644320837217e-08, + "101100110100": 5.102202461119554e-09, + "101100110101": 2.721638736910101e-08, + "101100110110": 2.848342415917167e-08, + "101100110111": 7.666795322177291e-07, + "101100111000": 5.3447399384412e-09, + "101100111001": 2.9401650999065162e-08, + "101100111010": 2.8550695415018927e-08, + "101100111011": 7.666810568263043e-07, + "101100111100": 2.996136241286343e-08, + "101100111101": 7.675010461009071e-07, + "101100111110": 8.014611297521973e-07, + "101100111111": 1.9754605491478812e-05, + "101101000000": 8.023921726260198e-07, + "101101000001": 3.0062730974467985e-08, + "101101000010": 2.861948109278627e-08, + "101101000011": 5.124508851479699e-09, + "101101000100": 2.8585333492720208e-08, + "101101000101": 4.8911460543390636e-09, + "101101000110": 5.101125174620294e-09, + "101101000111": 2.8551167532895842e-08, + "101101001000": 2.858637177619111e-08, + "101101001001": 4.959459355758687e-09, + "101101001010": 4.800526538947266e-09, + "101101001011": 2.7251625140046887e-08, + "101101001100": 5.102221034561333e-09, + "101101001101": 2.7217092008344245e-08, + "101101001110": 2.8550825961207585e-08, + "101101001111": 7.6752735800935e-07, + "101101010000": 2.8653261842511352e-08, + "101101010001": 4.891094364886096e-09, + "101101010010": 4.8005081686675935e-09, + "101101010011": 2.7250920387766652e-08, + "101101010100": 4.734492585119681e-09, + "101101010101": 2.525493343811908e-08, + "101101010110": 2.6430640137524823e-08, + "101101010111": 7.114256133251773e-07, + "101101011000": 5.030943480314395e-09, + "101101011001": 2.7216901491349912e-08, + "101101011010": 2.6431188809379716e-08, + "101101011011": 7.106566209507771e-07, + "101101011100": 2.773600295913303e-08, + "101101011101": 7.114200663596756e-07, + "101101011110": 7.428950288661256e-07, + "101101011111": 1.8310254722691276e-05, + "101101100000": 3.0950875146901943e-08, + "101101100001": 5.19753764684504e-09, + "101101100010": 5.101154862380871e-09, + "101101100011": 2.8481057188202787e-08, + "101101100100": 5.102295316303505e-09, + "101101100101": 2.7217100541547276e-08, + "101101100110": 2.8483424446812918e-08, + "101101100111": 7.666793430102864e-07, + "101101101000": 5.031035799406283e-09, + "101101101001": 2.7217614788561226e-08, + "101101101010": 2.6431205164680694e-08, + "101101101011": 7.106566213858017e-07, + "101101101100": 2.7670772465236883e-08, + "101101101101": 7.106501201535597e-07, + "101101101110": 7.420910466313881e-07, + "101101101111": 1.8289624769307724e-05, + "101101110000": 5.270188227205397e-09, + "101101110001": 2.851484612737697e-08, + "101101110010": 2.8551215774792757e-08, + "101101110011": 7.666810723154967e-07, + "101101110100": 2.7736533950671418e-08, + "101101110101": 7.114202792775422e-07, + "101101110110": 7.420912453841657e-07, + "101101110111": 1.8289670122647244e-05, + "101101111000": 2.9051405488440265e-08, + "101101111001": 7.675148894723993e-07, + "101101111010": 7.429095916893145e-07, + "101101111011": 1.8289628799811384e-05, + "101101111100": 7.795179530666452e-07, + "101101111101": 1.8309276461515783e-05, + "101101111110": 1.9124998769035228e-05, + "101101111111": 0.00047283541267225857, + "101110000000": 8.406312581041747e-07, + "101110000001": 3.149698183977373e-08, + "101110000010": 2.998455376647904e-08, + "101110000011": 5.367674524730013e-09, + "101110000100": 2.9948981163617843e-08, + "101110000101": 5.122793588595214e-09, + "101110000110": 5.343128819533015e-09, + "101110000111": 2.9898359814572354e-08, + "101110001000": 2.9948838966744346e-08, + "101110001001": 5.1958341499860305e-09, + "101110001010": 5.029326644666407e-09, + "101110001011": 2.855047860318428e-08, + "101110001100": 5.345418731066114e-09, + "101110001101": 2.8514513376078242e-08, + "101110001110": 2.9911824284614367e-08, + "101110001111": 8.041146233955009e-07, + "101110010000": 2.9949879697009586e-08, + "101110010001": 5.195815763858263e-09, + "101110010010": 5.101154862380871e-09, + "101110010011": 2.943840187072509e-08, + "101110010100": 5.030493582759196e-09, + "101110010101": 2.7282906138515377e-08, + "101110010110": 2.855083391844636e-08, + "101110010111": 7.675307969845951e-07, + "101110011000": 5.344721209337623e-09, + "101110011001": 2.940166802444106e-08, + "101110011010": 2.855069570953733e-08, + "101110011011": 7.666810572449352e-07, + "101110011100": 2.996009931508465e-08, + "101110011101": 7.675045163880102e-07, + "101110011110": 8.014648761748298e-07, + "101110011111": 1.975464960129605e-05, + "101110100000": 3.002048174041801e-08, + "101110100001": 5.1228346087210736e-09, + "101110100010": 5.029401026123614e-09, + "101110100011": 2.855048667583146e-08, + "101110100100": 5.03058616410198e-09, + "101110100101": 2.7283619206582573e-08, + "101110100110": 2.8550849456603255e-08, + "101110100111": 7.675307975428368e-07, + "101110101000": 4.9596252932239315e-09, + "101110101001": 2.7283436378332884e-08, + "101110101010": 2.6493094011320927e-08, + "101110101011": 7.114272049697291e-07, + "101110101100": 2.7736018560297462e-08, + "101110101101": 7.114200663596756e-07, + "101110101110": 7.42898875476769e-07, + "101110101111": 1.8310300315535033e-05, + "101110110000": 5.2701695626967506e-09, + "101110110001": 2.8514862880956703e-08, + "101110110010": 2.855123131942519e-08, + "101110110011": 7.666812624996182e-07, + "101110110100": 2.773653424184992e-08, + "101110110101": 7.114202788433217e-07, + "101110110110": 7.420912458951109e-07, + "101110110111": 1.828967013429928e-05, + "101110111000": 2.905017200823473e-08, + "101110111001": 7.675185498976147e-07, + "101110111010": 7.429134380189327e-07, + "101110111011": 1.8289674025406036e-05, + "101110111100": 7.79521818734549e-07, + "101110111101": 1.830932199632916e-05, + "101110111110": 1.9125046125639794e-05, + "101110111111": 0.0004728366453625619, + "101111000000": 3.1437701134032595e-08, + "101111000001": 5.365177360107576e-09, + "101111000010": 5.266867420653387e-09, + "101111000011": 2.989852135159471e-08, + "101111000100": 5.269232476446817e-09, + "101111000101": 2.8584828894561497e-08, + "101111000110": 2.991309979170359e-08, + "101111000111": 8.041144151622972e-07, + "101111001000": 5.268555304822598e-09, + "101111001001": 2.947432674736375e-08, + "101111001010": 2.8618961547456228e-08, + "101111001011": 7.675288506345734e-07, + "101111001100": 2.996137979344454e-08, + "101111001101": 7.675010461009071e-07, + "101111001110": 8.014648756178251e-07, + "101111001111": 1.9754649904978986e-05, + "101111010000": 5.19435680918719e-09, + "101111010001": 2.8585169786685422e-08, + "101111010010": 2.861948109278628e-08, + "101111010011": 7.675290554708809e-07, + "101111010100": 2.7802612219216828e-08, + "101111010101": 7.121883102672308e-07, + "101111010110": 7.428952278400009e-07, + "101111010111": 1.8310300454891956e-05, + "101111011000": 2.9051422184550124e-08, + "101111011001": 7.675150788068953e-07, + "101111011010": 7.429095912597495e-07, + "101111011011": 1.8289628811463942e-05, + "101111011100": 7.795218175636882e-07, + "101111011101": 1.830932199632916e-05, + "101111011110": 1.912504636371246e-05, + "101111011111": 0.000472836648179337, + "101111100000": 5.4405865158925155e-09, + "101111100001": 2.993461675236549e-08, + "101111100010": 2.998455376647904e-08, + "101111100011": 8.041127933185684e-07, + "101111100100": 3.0033059328527695e-08, + "101111100101": 7.683502150084712e-07, + "101111100110": 8.014613518696774e-07, + "101111100111": 1.97546497652659e-05, + "101111101000": 2.9120952652645087e-08, + "101111101001": 7.683640379081188e-07, + "101111101010": 7.437152992927751e-07, + "101111101011": 1.8310258816239252e-05, + "101111101100": 7.795181566094828e-07, + "101111101101": 1.830927646151579e-05, + "101111101110": 1.912504611109036e-05, + "101111101111": 0.0004728366481606514, + "101111110000": 3.0501399056667174e-08, + "101111110001": 8.049817738026846e-07, + "101111110010": 8.023609486572306e-07, + "101111110011": 1.975461012164369e-05, + "101111110100": 7.803778715774032e-07, + "101111110101": 1.8329934073254413e-05, + "101111110110": 1.9125003895134748e-05, + "101111110111": 0.00047283664483861607, + "101111111000": 8.173663483722454e-07, + "101111111001": 1.9776189632509496e-05, + "101111111010": 1.9146943785297722e-05, + "101111111011": 0.0004728355690730376, + "101111111100": 2.009052950204203e-05, + "101111111101": 0.0004733434425337754, + "101111111110": 0.0004944241242461994, + "101111111111": 0.012222649681542748, + "110000000000": 0.0005188270509753481, + "110000000001": 2.0985629266298594e-05, + "110000000010": 2.0090529502042014e-05, + "110000000011": 8.550287048361166e-07, + "110000000100": 2.0068970898658618e-05, + "110000000101": 8.148736796348222e-07, + "110000000110": 8.418988476910931e-07, + "110000000111": 3.21034728531987e-08, + "110000001000": 2.0069016534252534e-05, + "110000001001": 8.139710122881985e-07, + "110000001010": 7.803634297390825e-07, + "110000001011": 3.065067968312372e-08, + "110000001100": 8.409835953802573e-07, + "110000001101": 3.154736972974474e-08, + "110000001110": 3.146583062646595e-08, + "110000001111": 5.543421708342502e-09, + "110000010000": 2.006901667693603e-05, + "110000010001": 8.139750915552746e-07, + "110000010010": 7.795179530666452e-07, + "110000010011": 3.058081125264918e-08, + "110000010100": 7.795289186308078e-07, + "110000010101": 2.9207520091378022e-08, + "110000010110": 3.003333210854193e-08, + "110000010111": 5.2925297199040596e-09, + "110000011000": 8.409852950743471e-07, + "110000011001": 3.147527387711172e-08, + "110000011010": 3.003273420536363e-08, + "110000011011": 5.3694569744335215e-09, + "110000011100": 3.142812486813396e-08, + "110000011101": 5.3676745247300146e-09, + "110000011110": 5.5184809410157925e-09, + "110000011111": 3.135525277311606e-08, + "110000100000": 2.0069016659937336e-05, + "110000100001": 8.13974946724353e-07, + "110000100010": 7.795218187345493e-07, + "110000100011": 3.0579359228819754e-08, + "110000100100": 7.786846376539037e-07, + "110000100101": 2.9141407408793532e-08, + "110000100110": 2.996196922903155e-08, + "110000100111": 5.367984592756374e-09, + "110000101000": 7.79530717028887e-07, + "110000101001": 2.914077205642672e-08, + "110000101010": 2.780208807808636e-08, + "110000101011": 5.0529252837201335e-09, + "110000101100": 2.99971061408311e-08, + "110000101101": 5.124508851479699e-09, + "110000101110": 5.2692017891996695e-09, + "110000101111": 2.9936224341901755e-08, + "110000110000": 8.409853143695303e-07, + "110000110001": 3.147379663778497e-08, + "110000110010": 2.9961362412863415e-08, + "110000110011": 5.445266780781391e-09, + "110000110100": 2.9997097752645527e-08, + "110000110101": 5.1244154945556025e-09, + "110000110110": 5.3444398460895485e-09, + "110000110111": 2.9863335537573144e-08, + "110000111000": 3.142817755266514e-08, + "110000111001": 5.443593319234035e-09, + "110000111010": 5.269175709280788e-09, + "110000111011": 2.986259589125101e-08, + "110000111100": 5.5204355294293514e-09, + "110000111101": 2.989852135159471e-08, + "110000111110": 3.136241993091333e-08, + "110000111111": 8.421034171439683e-07, + "110001000000": 2.0069016381466344e-05, + "110001000001": 8.139750909294264e-07, + "110001000010": 7.795218175636882e-07, + "110001000011": 3.0579359228819754e-08, + "110001000100": 7.786886674982072e-07, + "110001000101": 2.9139857289414484e-08, + "110001000110": 2.996070558232747e-08, + "110001000111": 5.369563013643791e-09, + "110001001000": 7.786865997646165e-07, + "110001001001": 2.9074138336829207e-08, + "110001001010": 2.773601170728082e-08, + "110001001011": 5.125526470805151e-09, + "110001001100": 2.9925571619074145e-08, + "110001001101": 5.197445107541391e-09, + "110001001110": 5.345464723151016e-09, + "110001001111": 3.088090664256954e-08, + "110001010000": 7.795308980102266e-07, + "110001010001": 2.9139213964010618e-08, + "110001010010": 2.773600295913303e-08, + "110001010011": 5.125433522655432e-09, + "110001010100": 2.776886015371703e-08, + "110001010101": 4.8227843176567594e-09, + "110001010110": 5.030463933278117e-09, + "110001010111": 2.8586174887515168e-08, + "110001011000": 2.999695552611085e-08, + "110001011001": 5.197430714147064e-09, + "110001011010": 5.0305314103762306e-09, + "110001011011": 2.8517016914723713e-08, + "110001011100": 5.271535696055735e-09, + "110001011101": 2.855048667583146e-08, + "110001011110": 2.9948583971684276e-08, + "110001011111": 8.041353069217062e-07, + "110001100000": 8.409855004954026e-07, + "110001100001": 3.1473797151721083e-08, + "110001100010": 2.996009931508463e-08, + "110001100011": 5.44687358603932e-09, + "110001100100": 2.992556365720216e-08, + "110001100101": 5.1973689840228835e-09, + "110001100110": 5.421040978564367e-09, + "110001100111": 3.0805779033908016e-08, + "110001101000": 2.9996955938718675e-08, + "110001101001": 5.197448187646122e-09, + "110001101010": 5.03042019719593e-09, + "110001101011": 2.8516483163737885e-08, + "110001101100": 5.346725208540132e-09, + "110001101101": 2.8481057188202787e-08, + "110001101110": 2.987735495987223e-08, + "110001101111": 8.032520885635648e-07, + "110001110000": 3.142795951514014e-08, + "110001110001": 5.4451846793588405e-09, + "110001110010": 5.345437497458717e-09, + "110001110011": 3.080502274223589e-08, + "110001110100": 5.271534597698634e-09, + "110001110101": 2.854994463309139e-08, + "110001110110": 2.987734657202887e-08, + "110001110111": 8.032554817772013e-07, + "110001111000": 5.5209213283496576e-09, + "110001111001": 3.084261918522264e-08, + "110001111010": 2.994865276729401e-08, + "110001111011": 8.032534450627252e-07, + "110001111100": 3.142812486813395e-08, + "110001111101": 8.041127933185685e-07, + "110001111110": 8.396960651362194e-07, + "110001111111": 2.0697887160338666e-05, + "110010000000": 2.0068972108204207e-05, + "110010000001": 8.139710080056649e-07, + "110010000010": 7.795181566094828e-07, + "110010000011": 3.058081125264918e-08, + "110010000100": 7.786848404410792e-07, + "110010000101": 2.914142293386088e-08, + "110010000110": 2.996196964905505e-08, + "110010000111": 5.367984559157339e-09, + "110010001000": 7.786868037222339e-07, + "110010001001": 2.907415384316257e-08, + "110010001010": 2.7736027017276087e-08, + "110010001011": 5.1255091193103525e-09, + "110010001100": 2.9925572039023624e-08, + "110010001101": 5.197445143463032e-09, + "110010001110": 5.345464684650363e-09, + "110010001111": 3.088090622927462e-08, + "110010010000": 7.786829549185919e-07, + "110010010001": 2.9074145762707326e-08, + "110010010010": 2.7670772465236893e-08, + "110010010011": 5.198135941397823e-09, + "110010010100": 2.7704006526923553e-08, + "110010010101": 4.890694143970968e-09, + "110010010110": 5.102283360986942e-09, + "110010010111": 2.9475425281507222e-08, + "110010011000": 2.9926685779021465e-08, + "110010011001": 5.27048170725462e-09, + "110010011010": 5.102221820623624e-09, + "110010011011": 2.9403943961277712e-08, + "110010011100": 5.346725208540132e-09, + "110010011101": 2.943840187072509e-08, + "110010011110": 3.0877091654955724e-08, + "110010011111": 8.280574690279987e-07, + "110010100000": 7.795272740477796e-07, + "110010100001": 2.914077987557689e-08, + "110010100010": 2.7736018560297462e-08, + "110010100011": 5.125433522655429e-09, + "110010100100": 2.7704006811125943e-08, + "110010100101": 4.890711984311513e-09, + "110010100110": 5.102171776554763e-09, + "110010100111": 2.947488958640542e-08, + "110010101000": 2.7769902072200796e-08, + "110010101001": 4.890661945367566e-09, + "110010101010": 4.7344069936621466e-09, + "110010101011": 2.728433787488404e-08, + "110010101100": 5.031587897378188e-09, + "110010101101": 2.725092038776666e-08, + "110010101110": 2.8584205357750012e-08, + "110010101111": 7.67536199563167e-07, + "110010110000": 2.999799326876588e-08, + "110010110001": 5.1974297638631325e-09, + "110010110010": 5.102220988644055e-09, + "110010110011": 2.9403399195876243e-08, + "110010110100": 5.031698098956603e-09, + "110010110101": 2.725091147095818e-08, + "110010110110": 2.851791658238034e-08, + "110010110111": 7.667072981449234e-07, + "110010111000": 5.270858248399328e-09, + "110010111001": 2.9438428750469705e-08, + "110010111010": 2.8584804448360805e-08, + "110010111011": 7.667089907281966e-07, + "110010111100": 2.999710614083112e-08, + "110010111101": 7.675290554708809e-07, + "110010111110": 8.0149373674828e-07, + "110010111111": 1.975618078954156e-05, + "110011000000": 8.409818414012231e-07, + "110011000001": 3.147528211744969e-08, + "110011000010": 2.9961379793444526e-08, + "110011000011": 5.445266780781391e-09, + "110011000100": 2.992558061137251e-08, + "110011000101": 5.197351568203456e-09, + "110011000110": 5.421041009945925e-09, + "110011000111": 3.08057786209184e-08, + "110011001000": 2.9926702725565655e-08, + "110011001001": 5.2704817291043076e-09, + "110011001010": 5.102110293372087e-09, + "110011001011": 2.9403407987578066e-08, + "110011001100": 5.422233502234604e-09, + "110011001101": 2.9366644320837217e-08, + "110011001110": 3.0803427360571796e-08, + "110011001111": 8.27126448397063e-07, + "110011010000": 2.999800982102284e-08, + "110011010001": 5.1974123121647316e-09, + "110011010010": 5.102221034561332e-09, + "110011010011": 2.9403399195876243e-08, + "110011010100": 5.031569490345134e-09, + "110011010101": 2.7250214806674598e-08, + "110011010110": 2.851717017721082e-08, + "110011010111": 7.666874804019014e-07, + "110011011000": 5.346031596736316e-09, + "110011011001": 2.936720720187848e-08, + "110011011010": 2.851777872389928e-08, + "110011011011": 7.658584942303654e-07, + "110011011100": 2.992557161907415e-08, + "110011011101": 7.666812624996182e-07, + "110011011110": 8.006045285924724e-07, + "110011011111": 1.9733412218120297e-05, + "110011100000": 3.142906599560322e-08, + "110011100001": 5.443573506981228e-09, + "110011100010": 5.345418731066114e-09, + "110011100011": 3.080502274223589e-08, + "110011100100": 5.3467053714222145e-09, + "110011100101": 2.9437857761007715e-08, + "110011100110": 3.0803419262646526e-08, + "110011100111": 8.27129710429769e-07, + "110011101000": 5.270839667825413e-09, + "110011101001": 2.943842902882125e-08, + "110011101010": 2.8584058692678932e-08, + "110011101011": 7.666889826580551e-07, + "110011101100": 2.9925572039023624e-08, + "110011101101": 7.666810723154967e-07, + "110011101110": 8.006084424078847e-07, + "110011101111": 1.9733456266929765e-05, + "110011110000": 5.520202443561348e-09, + "110011110001": 3.084238726965811e-08, + "110011110010": 3.0876931504182466e-08, + "110011110011": 8.271278383995468e-07, + "110011110100": 2.999687892579712e-08, + "110011110101": 7.67509256389679e-07, + "110011110110": 8.006045444798017e-07, + "110011110111": 1.9733456430184564e-05, + "110011111000": 3.1418685845659034e-08, + "110011111001": 8.280276980481653e-07, + "110011111010": 8.014885333231004e-07, + "110011111011": 1.9733411567104306e-05, + "110011111100": 8.409835953802565e-07, + "110011111101": 1.975461012164369e-05, + "110011111110": 2.063471591379959e-05, + "110011111111": 0.0005101594783446909, + "110100000000": 2.0091976377449707e-05, + "110100000001": 8.148730394976485e-07, + "110100000010": 7.803778715774032e-07, + "110100000011": 3.065067968312372e-08, + "110100000100": 7.795435779372802e-07, + "110100000101": 2.9208061196411276e-08, + "110100000110": 3.003310434340764e-08, + "110100000111": 5.292529087669493e-09, + "110100001000": 7.795453758428009e-07, + "110100001001": 2.914132946513224e-08, + "110100001010": 2.7802603403816572e-08, + "110100001011": 5.053017971639515e-09, + "110100001100": 2.9996878925797106e-08, + "110100001101": 5.124489576165461e-09, + "110100001110": 5.269200700964752e-09, + "110100001111": 2.993621563731644e-08, + "110100010000": 7.795455579890746e-07, + "110100010001": 2.9139771255604905e-08, + "110100010010": 2.7736533950671418e-08, + "110100010011": 5.125509119310351e-09, + "110100010100": 2.776937445192796e-08, + "110100010101": 4.822873413460062e-09, + "110100010110": 5.030556711946558e-09, + "110100010111": 2.858669999374557e-08, + "110100011000": 2.999672831186781e-08, + "110100011001": 5.197411356300898e-09, + "110100011010": 5.030512991339145e-09, + "110100011011": 2.8517025295307113e-08, + "110100011100": 5.271534597698633e-09, + "110100011101": 2.855047860318428e-08, + "110100011110": 2.9948575192747945e-08, + "110100011111": 8.041350820533645e-07, + "110100100000": 7.795417296745702e-07, + "110100100001": 2.9141321759054228e-08, + "110100100010": 2.773653424184993e-08, + "110100100011": 5.125526470805149e-09, + "110100100100": 2.770452158594803e-08, + "110100100101": 4.890801044662848e-09, + "110100100110": 5.10226480649587e-09, + "110100100111": 2.947541703634041e-08, + "110100101000": 2.7770401172741873e-08, + "110100101001": 4.890768859065934e-09, + "110100101010": 4.734510838568318e-09, + "110100101011": 2.7285043569371315e-08, + "110100101100": 5.031698098956603e-09, + "110100101101": 2.7251625140046897e-08, + "110100101110": 2.858494382222067e-08, + "110100101111": 7.675558100069663e-07, + "110100110000": 2.9997765632914886e-08, + "110100110001": 5.197410370098124e-09, + "110100110010": 5.102202461119552e-09, + "110100110011": 2.9403407987578066e-08, + "110100110100": 5.031679646274855e-09, + "110100110101": 2.7250919435478036e-08, + "110100110110": 2.851792426393103e-08, + "110100110111": 7.667072831128335e-07, + "110100111000": 5.2708571889852e-09, + "110100111001": 2.9438420820509973e-08, + "110100111010": 2.8584796872652324e-08, + "110100111011": 7.667087849459078e-07, + "110100111100": 2.999709775264553e-08, + "110100111101": 7.675288506345736e-07, + "110100111110": 8.01493522750088e-07, + "110100111111": 1.9756175508251838e-05, + "110101000000": 7.803876818013664e-07, + "110101000001": 2.920743525118908e-08, + "110101000010": 2.7802612219216835e-08, + "110101000011": 5.0529252837201335e-09, + "110101000100": 2.7769392015549227e-08, + "110101000101": 4.822873423867026e-09, + "110101000110": 5.030445533140413e-09, + "110101000111": 2.858616650268132e-08, + "110101001000": 2.7770418452229988e-08, + "110101001001": 4.890751029095405e-09, + "110101001010": 4.734510862105417e-09, + "110101001011": 2.7285043569371295e-08, + "110101001100": 5.031569490345134e-09, + "110101001101": 2.7250928352279835e-08, + "110101001110": 2.8584197781851634e-08, + "110101001111": 7.675359946142562e-07, + "110101010000": 2.783587619629727e-08, + "110101010001": 4.822822731555541e-09, + "110101010010": 4.734492585119681e-09, + "110101010011": 2.728433787488404e-08, + "110101010100": 4.668932905207754e-09, + "110101010101": 2.528633036175358e-08, + "110101010110": 2.6461977443771005e-08, + "110101010111": 7.114331760190325e-07, + "110101011000": 4.960749251845803e-09, + "110101011001": 2.7250736990116766e-08, + "110101011010": 2.646252603305081e-08, + "110101011011": 7.106637319812089e-07, + "110101011100": 2.7768860153717022e-08, + "110101011101": 7.114272049697291e-07, + "110101011110": 7.429056505854582e-07, + "110101011111": 1.8311242175843206e-05, + "110101100000": 3.00686920396675e-08, + "110101100001": 5.124455444070307e-09, + "110101100010": 5.030493582759198e-09, + "110101100011": 2.8516483163737885e-08, + "110101100100": 5.031661062277655e-09, + "110101100101": 2.7250919582448042e-08, + "110101100110": 2.8517178146590517e-08, + "110101100111": 7.666872751756349e-07, + "110101101000": 4.960858661210395e-09, + "110101101001": 2.7251433926261877e-08, + "110101101010": 2.6462526191685986e-08, + "110101101011": 7.10663530554031e-07, + "110101101100": 2.7704006526923546e-08, + "110101101101": 7.106566213858017e-07, + "110101101110": 7.421010261909087e-07, + "110101101111": 1.8290606063015904e-05, + "110101110000": 5.196668243137478e-09, + "110101110001": 2.8550276910603947e-08, + "110101110010": 2.8584569496393086e-08, + "110101110011": 7.666889826580551e-07, + "110101110100": 2.776937445192796e-08, + "110101110101": 7.114272167337905e-07, + "110101110110": 7.42101225994232e-07, + "110101110111": 1.8290651462055456e-05, + "110101111000": 2.9085799908692848e-08, + "110101111001": 7.675228561665212e-07, + "110101111010": 7.429200037998727e-07, + "110101111011": 1.8290610134791668e-05, + "110101111100": 7.795289186308078e-07, + "110101111101": 1.8310258816239252e-05, + "110101111110": 1.9126020622044934e-05, + "110101111111": 0.0004728600954279709, + "110110000000": 8.419256297473968e-07, + "110110000001": 3.154727753275354e-08, + "110110000010": 3.003305932852769e-08, + "110110000011": 5.3694569744335215e-09, + "110110000100": 2.999743208936185e-08, + "110110000101": 5.1244902406344395e-09, + "110110000110": 5.344419984708163e-09, + "110110000111": 2.9863326846594607e-08, + "110110001000": 2.9997289868896194e-08, + "110110001001": 5.197505634903773e-09, + "110110001010": 5.030494382653596e-09, + "110110001011": 2.8517025295307113e-08, + "110110001100": 5.3467053714222145e-09, + "110110001101": 2.8481065869087183e-08, + "110110001110": 2.987734660770886e-08, + "110110001111": 8.03251864385511e-07, + "110110010000": 2.999832690399734e-08, + "110110010001": 5.197487175367388e-09, + "110110010010": 5.102295316303505e-09, + "110110010011": 2.9403943961277712e-08, + "110110010100": 5.031661062277655e-09, + "110110010101": 2.72509369231922e-08, + "110110010110": 2.8517924551378092e-08, + "110110010111": 7.667072835305333e-07, + "110110011000": 5.346011727963343e-09, + "110110011001": 2.9367216296838997e-08, + "110110011010": 2.8517786692923984e-08, + "110110011011": 7.658584786404817e-07, + "110110011100": 2.9925563657202166e-08, + "110110011101": 7.666810572449352e-07, + "110110011110": 8.006043153677157e-07, + "110110011111": 1.9733406955077945e-05, + "110110100000": 3.006923621381737e-08, + "110110100001": 5.124549455074144e-09, + "110110100010": 5.03058616410198e-09, + "110110100011": 2.8517016914723732e-08, + "110110100100": 5.031771109304707e-09, + "110110100101": 2.725163385794272e-08, + "110110100110": 2.851792483909438e-08, + "110110100111": 7.66707093338854e-07, + "110110101000": 4.960840162483769e-09, + "110110101001": 2.72514514139224e-08, + "110110101010": 2.6462542558418183e-08, + "110110101011": 7.106637319812089e-07, + "110110101100": 2.7704006811125943e-08, + "110110101101": 7.106566209507771e-07, + "110110101110": 7.421010267005531e-07, + "110110101111": 1.8290606074477036e-05, + "110110110000": 5.2715103698656526e-09, + "110110110001": 2.8481398376729434e-08, + "110110110010": 2.8518306134438676e-08, + "110110110011": 7.658584942303654e-07, + "110110110100": 2.7704521585948013e-08, + "110110110101": 7.106568341347676e-07, + "110110110110": 7.412942737881067e-07, + "110110110111": 1.8269998091448395e-05, + "110110111000": 2.9016638368472204e-08, + "110110111001": 7.666948857818718e-07, + "110110111010": 7.421155743951361e-07, + "110110111011": 1.8270001973261885e-05, + "110110111100": 7.786846376539037e-07, + "110110111101": 1.8289628811463942e-05, + "110110111110": 1.9104476228181607e-05, + "110110111111": 0.0004723280846010552, + "110111000000": 3.15034310657734e-08, + "110111000001": 5.367717334343535e-09, + "110111000010": 5.269232476446817e-09, + "110111000011": 2.986259589125102e-08, + "110111000100": 5.271592531454078e-09, + "110111000101": 2.855048764744668e-08, + "110111000110": 2.987735514861404e-08, + "110111000111": 8.032552570570392e-07, + "110111001000": 5.2709159437449125e-09, + "110111001001": 2.9438974538456298e-08, + "110111001010": 2.8584814986387636e-08, + "110111001011": 7.667087849459078e-07, + "110111001100": 2.9925580611372524e-08, + "110111001101": 7.66681056826304e-07, + "110111001110": 8.006082279978336e-07, + "110111001111": 1.9733451003885245e-05, + "110111010000": 5.1967452013510564e-09, + "110111010001": 2.855082785420495e-08, + "110111010010": 2.85853334927202e-08, + "110111010011": 7.667089907281966e-07, + "110111010100": 2.776939201554921e-08, + "110111010101": 7.114274175724247e-07, + "110111010110": 7.421012255635956e-07, + "110111010111": 1.8290651473516195e-05, + "110111011000": 2.901665464397379e-08, + "110111011001": 7.666950755428878e-07, + "110111011010": 7.421155734543248e-07, + "110111011011": 1.8270001973261885e-05, + "110111011100": 7.786886674982072e-07, + "110111011101": 1.8289674025406036e-05, + "110111011110": 1.910452350169734e-05, + "110111011111": 0.0004723293156729321, + "110111100000": 5.442600187995548e-09, + "110111100001": 2.9898873555033557e-08, + "110111100010": 2.9948981163617843e-08, + "110111100011": 8.03253445062725e-07, + "110111100100": 2.999743208936186e-08, + "110111100101": 7.675290837659137e-07, + "110111100110": 8.006045368094751e-07, + "110111100111": 1.9733451152700145e-05, + "110111101000": 2.9086355964713664e-08, + "110111101001": 7.675428917408555e-07, + "110111101010": 7.429202184161707e-07, + "110111101011": 1.8290610134791668e-05, + "110111101100": 7.78684840441079e-07, + "110111101101": 1.8289628799811384e-05, + "110111101110": 1.9104523487151473e-05, + "110111101111": 0.00047232931850393846, + "110111110000": 3.046517235685275e-08, + "110111110001": 8.041214795846692e-07, + "110111110010": 8.015031124371131e-07, + "110111110011": 1.9733411567104306e-05, + "110111110100": 7.795435779372802e-07, + "110111110101": 1.8310264296347946e-05, + "110111110110": 1.910448133661023e-05, + "110111110111": 0.00047232931514782354, + "110111111000": 8.164925118273874e-07, + "110111111001": 1.975496792404253e-05, + "110111111010": 1.9126397715370118e-05, + "110111111011": 0.0004723282405369541, + "110111111100": 2.006897089865864e-05, + "110111111101": 0.0004728355690730376, + "110111111110": 0.0004938936317614937, + "110111111111": 0.012209535349164599, + "111000000000": 2.1044299462094655e-05, + "111000000001": 8.534965182538866e-07, + "111000000010": 8.173663483722458e-07, + "111000000011": 3.210347285319871e-08, + "111000000100": 8.16492511827388e-07, + "111000000101": 3.05924754081895e-08, + "111000000110": 3.145661809108008e-08, + "111000000111": 5.543406011514216e-09, + "111000001000": 8.164943803352318e-07, + "111000001001": 3.052259305254396e-08, + "111000001010": 2.9120405113004706e-08, + "111000001011": 5.292529087669494e-09, + "111000001100": 3.141868584565903e-08, + "111000001101": 5.3673882489367055e-09, + "111000001110": 5.518967355873625e-09, + "111000001111": 3.1355320285424574e-08, + "111000010000": 8.164943986375329e-07, + "111000010001": 3.0521148914940115e-08, + "111000010010": 2.9051405488440245e-08, + "111000010011": 5.367984559157339e-09, + "111000010100": 2.908579990869282e-08, + "111000010101": 5.05103481741595e-09, + "111000010110": 5.268542959701311e-09, + "111000010111": 2.993628770682484e-08, + "111000011000": 3.141873900572122e-08, + "111000011001": 5.443292153583732e-09, + "111000011010": 5.2684977262095265e-09, + "111000011011": 2.9863326846594607e-08, + "111000011100": 5.5209213283496576e-09, + "111000011101": 2.9898359814572354e-08, + "111000011110": 3.136247259207388e-08, + "111000011111": 8.421051052411264e-07, + "111000100000": 8.164945832696721e-07, + "111000100001": 3.052114942178072e-08, + "111000100010": 2.905017200823472e-08, + "111000100011": 5.369563013643791e-09, + "111000100100": 2.9016638368472188e-08, + "111000100101": 5.123665670030196e-09, + "111000100110": 5.344786419960068e-09, + "111000100111": 3.088097191745539e-08, + "111000101000": 2.9085658764583796e-08, + "111000101001": 5.123632215514241e-09, + "111000101010": 4.959552466694504e-09, + "111000101011": 2.858616650268132e-08, + "111000101100": 5.270858248399329e-09, + "111000101101": 2.8551167532895842e-08, + "111000101110": 2.994843258057315e-08, + "111000101111": 8.041369175871673e-07, + "111000110000": 3.141852088345922e-08, + "111000110001": 5.444880211952934e-09, + "111000110010": 5.344739938441198e-09, + "111000110011": 3.0805778620918376e-08, + "111000110100": 5.2708571889852e-09, + "111000110101": 2.855064212399572e-08, + "111000110110": 2.9878463387014975e-08, + "111000110111": 8.032536928512531e-07, + "111000111000": 5.5214071403167055e-09, + "111000111001": 3.084245640471375e-08, + "111000111010": 2.994850178545436e-08, + "111000111011": 8.032552570570396e-07, + "111000111100": 3.142817755266514e-08, + "111000111101": 8.041144151622974e-07, + "111000111110": 8.396977516237423e-07, + "111000111111": 2.0697928432392136e-05, + "111001000000": 8.164907884801909e-07, + "111001000001": 3.052260116578679e-08, + "111001000010": 2.9051422184550115e-08, + "111001000011": 5.367984592756376e-09, + "111001000100": 2.9016654643973782e-08, + "111001000101": 5.123648342543448e-09, + "111001000110": 5.344786489606748e-09, + "111001000111": 3.088097191745539e-08, + "111001001000": 2.9017747813992992e-08, + "111001001001": 5.196366194493688e-09, + "111001001010": 5.030944279585139e-09, + "111001001011": 2.947541703634041e-08, + "111001001100": 5.346031596736316e-09, + "111001001101": 2.943910282964337e-08, + "111001001110": 3.087693970590469e-08, + "111001001111": 8.280591378817543e-07, + "111001010000": 2.9086685741470516e-08, + "111001010001": 5.1236139440499354e-09, + "111001010010": 5.0309434803143975e-09, + "111001010011": 2.947488958640542e-08, + "111001010100": 4.9607492518458015e-09, + "111001010101": 2.731697087480615e-08, + "111001010110": 2.8585243481953792e-08, + "111001010111": 7.675377420216465e-07, + "111001011000": 5.270184149392691e-09, + "111001011001": 2.943913002742128e-08, + "111001011010": 2.8585835031979774e-08, + "111001011011": 7.667070933388538e-07, + "111001011100": 2.9996955526110854e-08, + "111001011101": 7.675307975428366e-07, + "111001011110": 8.014953707265797e-07, + "111001011111": 1.9756220434258227e-05, + "111001100000": 3.141962359840003e-08, + "111001100001": 5.4432723731844915e-09, + "111001100010": 5.344721209337621e-09, + "111001100011": 3.0805779033908016e-08, + "111001100100": 5.346011727963341e-09, + "111001100101": 2.9438575625681662e-08, + "111001100110": 3.0804562732618274e-08, + "111001100111": 8.271281100615082e-07, + "111001101000": 5.270165498426089e-09, + "111001101001": 2.9439130305804862e-08, + "111001101010": 2.8585104411033697e-08, + "111001101011": 7.666872751756347e-07, + "111001101100": 2.9926685779021485e-08, + "111001101101": 7.666793430102863e-07, + "111001101110": 8.006063299983998e-07, + "111001101111": 1.9733451818880492e-05, + "111001110000": 5.520688256750209e-09, + "111001110001": 3.0842224902977016e-08, + "111001110010": 3.087677996998288e-08, + "111001110011": 8.271297104297688e-07, + "111001110100": 2.999672831186782e-08, + "111001110101": 7.675109973577436e-07, + "111001110110": 8.00606345257067e-07, + "111001110111": 1.9733495727512546e-05, + "111001111000": 3.141873900572123e-08, + "111001111001": 8.280293782928415e-07, + "111001111010": 8.014901673886511e-07, + "111001111011": 1.9733451152700138e-05, + "111001111100": 8.409852950743458e-07, + "111001111101": 1.975464976526589e-05, + "111001111110": 2.0634757317759308e-05, + "111001111111": 0.0005101605025952082, + "111010000000": 8.173917333197391e-07, + "111010000001": 3.059238529791152e-08, + "111010000010": 2.912095265264508e-08, + "111010000011": 5.292529719904063e-09, + "111010000100": 2.9086355964713644e-08, + "111010000101": 5.051128084988829e-09, + "111010000110": 5.268524345031848e-09, + "111010000111": 2.993628770682484e-08, + "111010001000": 2.9086214418839835e-08, + "111010001001": 5.1237083883227515e-09, + "111010001010": 4.959644583879392e-09, + "111010001011": 2.858669999374557e-08, + "111010001100": 5.2708396678254145e-09, + "111010001101": 2.8551184290776023e-08, + "111010001110": 2.994843299349223e-08, + "111010001111": 8.041369181292149e-07, + "111010010000": 2.9087225229164198e-08, + "111010010001": 5.123707444408305e-09, + "111010010010": 5.031035799406285e-09, + "111010010011": 2.9475425281507222e-08, + "111010010100": 4.960858661210395e-09, + "111010010101": 2.7317685047625634e-08, + "111010010110": 2.858598993696996e-08, + "111010010111": 7.675575579602128e-07, + "111010011000": 5.270165498426089e-09, + "111010011001": 2.9439147056773614e-08, + "111010011010": 2.8585850581313888e-08, + "111010011011": 7.667072835305333e-07, + "111010011100": 2.999695593871868e-08, + "111010011101": 7.675307969845951e-07, + "111010011110": 8.014953713535792e-07, + "111010011111": 1.9756220448704174e-05, + "111010100000": 2.9155785832848964e-08, + "111010100001": 5.051075148890561e-09, + "111010100010": 4.959625293223936e-09, + "111010100011": 2.8586174887515168e-08, + "111010100100": 4.960840162483769e-09, + "111010100101": 2.7317685194522958e-08, + "111010100110": 2.8585259319302064e-08, + "111010100111": 7.675377420216465e-07, + "111010101000": 4.8903333679121195e-09, + "111010101001": 2.7317501528666237e-08, + "111010101010": 2.6525023036345954e-08, + "111010101011": 7.114331760190325e-07, + "111010101100": 2.7769902072200796e-08, + "111010101101": 7.114256133251773e-07, + "111010101110": 7.429075211152752e-07, + "111010101111": 1.8311283831223723e-05, + "111010110000": 5.19599597761068e-09, + "111010110001": 2.8550982910867507e-08, + "111010110010": 2.858562320174339e-08, + "111010110011": 7.666874804019014e-07, + "111010110100": 2.7770401172741873e-08, + "111010110101": 7.114256246550605e-07, + "111010110110": 7.42099250004012e-07, + "111010110111": 1.8290647541100292e-05, + "111010111000": 2.9085658764583806e-08, + "111010111001": 7.675248026101884e-07, + "111010111010": 7.429218749729541e-07, + "111010111011": 1.829065147351619e-05, + "111010111100": 7.795307170288868e-07, + "111010111101": 1.831030045489195e-05, + "111010111110": 1.912606412607031e-05, + "111010111111": 0.0004728611715453045, + "111011000000": 3.1494223959161235e-08, + "111011000001": 5.367431542036052e-09, + "111011000010": 5.268555304822598e-09, + "111011000011": 2.986333553757314e-08, + "111011000100": 5.270915943744915e-09, + "111011000101": 2.8551193342705054e-08, + "111011000110": 2.987848072843408e-08, + "111011000111": 8.032536928512529e-07, + "111011001000": 5.270242557645815e-09, + "111011001001": 2.9439683876875082e-08, + "111011001010": 2.8585868407668282e-08, + "111011001011": 7.667072831128335e-07, + "111011001100": 2.992670272556566e-08, + "111011001101": 7.666795322177293e-07, + "111011001110": 8.006063294401312e-07, + "111011001111": 1.9733451833320357e-05, + "111011010000": 5.1960911762329015e-09, + "111011010001": 2.85515172284656e-08, + "111011010010": 2.85863717761911e-08, + "111011010011": 7.667072981449234e-07, + "111011010100": 2.7770418452229988e-08, + "111011010101": 7.114258259287226e-07, + "111011010110": 7.420992490641982e-07, + "111011010111": 1.8290647541100292e-05, + "111011011000": 2.901774781399302e-08, + "111011011001": 7.666933611457228e-07, + "111011011010": 7.421135978790551e-07, + "111011011011": 1.8269998091448395e-05, + "111011011100": 7.786865997646165e-07, + "111011011101": 1.8289670134299273e-05, + "111011011110": 1.9104519654381668e-05, + "111011011111": 0.00047232915921317586, + "111011100000": 5.4430838656597265e-09, + "111011100001": 2.9898720720032644e-08, + "111011100010": 2.9948838966744346e-08, + "111011100011": 8.03255481777201e-07, + "111011100100": 2.999728986889621e-08, + "111011100101": 7.675310296979337e-07, + "111011100110": 8.006065514383426e-07, + "111011100111": 1.9733495727512553e-05, + "111011101000": 2.9086214418839864e-08, + "111011101001": 7.675448388679447e-07, + "111011101010": 7.429220890796035e-07, + "111011101011": 1.829065146205545e-05, + "111011101100": 7.786868037222337e-07, + "111011101101": 1.8289670122647244e-05, + "111011101110": 1.9104566675530158e-05, + "111011101111": 0.00047233039030520333, + "111011110000": 3.046523219635043e-08, + "111011110001": 8.04123326411955e-07, + "111011110010": 8.015049606280315e-07, + "111011110011": 1.9733456430184564e-05, + "111011110100": 7.795453758428009e-07, + "111011110101": 1.8310305923540026e-05, + "111011110110": 1.9104524762810444e-05, + "111011110111": 0.0004723303897987829, + "111011111000": 8.164943803352306e-07, + "111011111001": 1.975501285163034e-05, + "111011111010": 1.9126441208267742e-05, + "111011111011": 0.00047232931514782327, + "111011111100": 2.006901653425255e-05, + "111011111101": 0.00047283664483861607, + "111011111110": 0.0004938947554409043, + "111011111111": 0.012209563126791206, + "111100000000": 8.561393454038549e-07, + "111100000001": 3.204258474445276e-08, + "111100000010": 3.0501399056667174e-08, + "111100000011": 5.543421708342502e-09, + "111100000100": 3.046517235685275e-08, + "111100000101": 5.290563963274239e-09, + "111100000110": 5.518267969932707e-09, + "111100000111": 3.1355320285424574e-08, + "111100001000": 3.0465232196350426e-08, + "111100001001": 5.366112729420109e-09, + "111100001010": 5.19428098489141e-09, + "111100001011": 2.993621563731645e-08, + "111100001100": 5.520202443561348e-09, + "111100001101": 2.9899026834635274e-08, + "111100001110": 3.136225424984369e-08, + "111100001111": 8.421051108073365e-07, + "111100010000": 3.046501699789775e-08, + "111100010001": 5.3676724899723e-09, + "111100010010": 5.270188227205399e-09, + "111100010011": 3.08809062292746e-08, + "111100010100": 5.196668243137477e-09, + "111100010101": 2.8620294228980483e-08, + "111100010110": 2.9949465203183224e-08, + "111100010111": 8.041369181292153e-07, + "111100011000": 5.520688256750212e-09, + "111100011001": 3.0843146583751536e-08, + "111100011010": 2.9949542803326365e-08, + "111100011011": 8.032518643855113e-07, + "111100011100": 3.142795951514014e-08, + "111100011101": 8.041146233955013e-07, + "111100011110": 8.396977708341756e-07, + "111100011111": 2.0697928592778763e-05, + "111100100000": 3.046609127109352e-08, + "111100100001": 5.366093055991638e-09, + "111100100010": 5.2701695626967506e-09, + "111100100011": 3.088090664256955e-08, + "111100100100": 5.271510369865651e-09, + "111100100101": 2.951055296629407e-08, + "111100100110": 3.087799635463556e-08, + "111100100111": 8.280591378817543e-07, + "111100101000": 5.195995977610678e-09, + "111100101001": 2.9510588969924716e-08, + "111100101010": 2.865274158351432e-08, + "111100101011": 7.675359946142559e-07, + "111100101100": 2.999799326876589e-08, + "111100101101": 7.675273580093496e-07, + "111100101110": 8.014955555527406e-07, + "111100101111": 1.975622058917055e-05, + "111100110000": 5.5199728288586544e-09, + "111100110001": 3.0842915082019044e-08, + "111100110010": 3.087784472222494e-08, + "111100110011": 8.27126448397063e-07, + "111100110100": 2.9997765632914906e-08, + "111100110101": 7.675077484115357e-07, + "111100110110": 8.006026163327354e-07, + "111100110111": 1.973345183332035e-05, + "111100111000": 3.1418520883459226e-08, + "111100111001": 8.280295886382823e-07, + "111100111010": 8.014903515857299e-07, + "111100111011": 1.9733451003885245e-05, + "111100111100": 8.409853143695293e-07, + "111100111101": 1.9754649904978976e-05, + "111100111110": 2.06347574795431e-05, + "111100111111": 0.0005101605065534392, + "111101000000": 3.053844939242101e-08, + "111101000001": 5.290606317745982e-09, + "111101000010": 5.19435680918719e-09, + "111101000011": 2.9936224341901755e-08, + "111101000100": 5.1967452013510564e-09, + "111101000101": 2.8620828426816805e-08, + "111101000110": 2.994948215012704e-08, + "111101000111": 8.04136917587167e-07, + "111101001000": 5.1960911762329e-09, + "111101001001": 2.951112522997538e-08, + "111101001010": 2.8653489793864738e-08, + "111101001011": 7.675558100069663e-07, + "111101001100": 2.999800982102285e-08, + "111101001101": 7.6752754791465e-07, + "111101001110": 8.014955543677454e-07, + "111101001111": 1.975622058917056e-05, + "111101010000": 5.1222493222869534e-09, + "111101010001": 2.8620635146617997e-08, + "111101010010": 2.8653261842511352e-08, + "111101010011": 7.67536199563167e-07, + "111101010100": 2.783587619629726e-08, + "111101010101": 7.121945184270001e-07, + "111101010110": 7.429040735682779e-07, + "111101010111": 1.8311283831223723e-05, + "111101011000": 2.9086685741470526e-08, + "111101011001": 7.675215529981874e-07, + "111101011010": 7.429182272495929e-07, + "111101011011": 1.829060607447703e-05, + "111101011100": 7.795308980102264e-07, + "111101011101": 1.8310300315535023e-05, + "111101011110": 1.912606424582588e-05, + "111101011111": 0.0004728611748691078, + "111101100000": 5.442388929686985e-09, + "111101100001": 2.9899387882419816e-08, + "111101100010": 2.9949879697009586e-08, + "111101100011": 8.032520885635642e-07, + "111101100100": 2.999832690399736e-08, + "111101100101": 7.675277810463573e-07, + "111101100110": 8.006028218876016e-07, + "111101100111": 1.97334518188805e-05, + "111101101000": 2.9087225229164208e-08, + "111101101001": 7.67541399091437e-07, + "111101101010": 7.429184422964936e-07, + "111101101011": 1.8290606063015894e-05, + "111101101100": 7.786829549185919e-07, + "111101101101": 1.8289624769307724e-05, + "111101101110": 1.91045195214784e-05, + "111101101111": 0.00047232916255059837, + "111101110000": 3.046501699789776e-08, + "111101110001": 8.041235340977568e-07, + "111101110010": 8.015051441927295e-07, + "111101110011": 1.9733456266929765e-05, + "111101110100": 7.795455579890749e-07, + "111101110101": 1.831030578418318e-05, + "111101110110": 1.9104524644452992e-05, + "111101110111": 0.00047233039030520333, + "111101111000": 8.164943986375322e-07, + "111101111001": 1.9755012976889874e-05, + "111101111010": 1.91264413280134e-05, + "111101111011": 0.0004723293185039383, + "111101111100": 2.0069016676936044e-05, + "111101111101": 0.0004728366481606514, + "111101111110": 0.0004938947589115235, + "111101111111": 0.01220956321260745, + "111110000000": 3.1986114293117064e-08, + "111110000001": 5.541408929932322e-09, + "111110000010": 5.440586515892514e-09, + "111110000011": 3.135525277311606e-08, + "111110000100": 5.442600187995546e-09, + "111110000101": 2.997195443232058e-08, + "111110000110": 3.136335189480586e-08, + "111110000111": 8.421051052411264e-07, + "111110001000": 5.443083865659722e-09, + "111110001001": 3.091830604285111e-08, + "111110001010": 3.002016262472701e-08, + "111110001011": 8.041350820533645e-07, + "111110001100": 3.142906599560322e-08, + "111110001101": 8.041112238344007e-07, + "111110001110": 8.396979573842793e-07, + "111110001111": 2.0697928592778756e-05, + "111110010000": 5.442388929686985e-09, + "111110010001": 3.091807382831515e-08, + "111110010010": 3.095087514690193e-08, + "111110010011": 8.280574690279987e-07, + "111110010100": 3.006869203966751e-08, + "111110010101": 7.683574190125357e-07, + "111110010110": 8.014918622104484e-07, + "111110010111": 1.9756220448704168e-05, + "111110011000": 3.1419623598400046e-08, + "111110011001": 8.280263200073107e-07, + "111110011010": 8.014866429947144e-07, + "111110011011": 1.973340695507794e-05, + "111110011100": 8.409855004954015e-07, + "111110011101": 1.9754649601296044e-05, + "111110011110": 2.063475746232013e-05, + "111110011111": 0.0005101605065343964, + "111110100000": 5.3651670033354626e-09, + "111110100001": 2.9972306213242044e-08, + "111110100010": 3.002048174041801e-08, + "111110100011": 8.041353069217058e-07, + "111110100100": 3.006923621381739e-08, + "111110100101": 7.683772593849547e-07, + "111110100110": 8.014920690966165e-07, + "111110100111": 1.9756220434258234e-05, + "111110101000": 2.9155785832848974e-08, + "111110101001": 7.683712468021943e-07, + "111110101010": 7.437246057261023e-07, + "111110101011": 1.8311242175843206e-05, + "111110101100": 7.795272740477794e-07, + "111110101101": 1.8310254722691286e-05, + "111110101110": 1.9126063978624854e-05, + "111110101111": 0.0004728611748691078, + "111110110000": 3.046609127109352e-08, + "111110110001": 8.041201348285283e-07, + "111110110010": 8.015014365340879e-07, + "111110110011": 1.9733412218120304e-05, + "111110110100": 7.7954172967457e-07, + "111110110101": 1.8310260202990457e-05, + "111110110110": 1.9104477356357932e-05, + "111110110111": 0.00047232915921317586, + "111110111000": 8.164945832696713e-07, + "111110111001": 1.9755012673221684e-05, + "111110111010": 1.9126441075379735e-05, + "111110111011": 0.0004723293156729321, + "111110111100": 2.006901665993735e-05, + "111110111101": 0.000472836648179337, + "111110111110": 0.0004938947588919305, + "111110111111": 0.012209563212133963, + "111111000000": 5.6195009095525784e-09, + "111111000001": 3.139304654517157e-08, + "111111000010": 3.143770113403263e-08, + "111111000011": 8.421034171439683e-07, + "111111000100": 3.15034310657734e-08, + "111111000101": 8.049956799300285e-07, + "111111000110": 8.39694314364461e-07, + "111111000111": 2.0697928432392126e-05, + "111111001000": 3.149422395916125e-08, + "111111001001": 8.289584114072539e-07, + "111111001010": 8.023775918517796e-07, + "111111001011": 1.9756175508251838e-05, + "111111001100": 8.409818414012219e-07, + "111111001101": 1.9754605491478812e-05, + "111111001110": 2.0634757162299492e-05, + "111111001111": 0.0005101605065534392, + "111111010000": 3.0538449392421013e-08, + "111111010001": 8.050043574131894e-07, + "111111010010": 8.023921726260198e-07, + "111111010011": 1.975618078954157e-05, + "111111010100": 7.803876818013664e-07, + "111111010101": 1.833091845533154e-05, + "111111010110": 1.912602171665237e-05, + "111111010111": 0.0004728611715453045, + "111111011000": 8.164907884801902e-07, + "111111011001": 1.9754968575039022e-05, + "111111011010": 1.9126393683778e-05, + "111111011011": 0.0004723280846010552, + "111111011100": 2.0069016381466357e-05, + "111111011101": 0.0004728366453625619, + "111111011110": 0.0004938947589305157, + "111111011111": 0.012209563212133963, + "111111100000": 3.1986114293117025e-08, + "111111100001": 8.430133664992048e-07, + "111111100010": 8.40631258104174e-07, + "111111100011": 2.069788716033866e-05, + "111111100100": 8.419256297473961e-07, + "111111100101": 1.9777404493417694e-05, + "111111100110": 2.0634717058323023e-05, + "111111100111": 0.0005101605025952082, + "111111101000": 8.173917333197382e-07, + "111111101001": 1.97777621525065e-05, + "111111101010": 1.9147968179557882e-05, + "111111101011": 0.0004728600954279709, + "111111101100": 2.0068972108204224e-05, + "111111101101": 0.00047283541267225857, + "111111101110": 0.0004938947555793635, + "111111101111": 0.01220956321260745, + "111111110000": 8.561393454038549e-07, + "111111110001": 2.0720347318762615e-05, + "111111110010": 2.065876409534645e-05, + "111111110011": 0.0005101594783446909, + "111111110100": 2.0091976377449717e-05, + "111111110101": 0.00047336813692596335, + "111111110110": 0.0004938936006222188, + "111111110111": 0.012209563126791211, + "111111111000": 2.1044299462094645e-05, + "111111111001": 0.0005107166890396082, + "111111111010": 0.0004944595212390683, + "111111111011": 0.012209535349164599, + "111111111100": 0.0005188270509753478, + "111111111101": 0.012222649681542748, + "111111111110": 0.01276700349001308, + "111111111111": 0.3156136749779034 }, "Exact TFIM - Qubits2": { - "00": 0.49684918814731793, - "01": 0.003150811852681928, - "10": 0.003150811852681928, - "11": 0.49684918814731793 + "00": 0.4251931249061529, + "01": 0.07480687509384702, + "10": 0.07480687509384702, + "11": 0.4251931249061529 }, "Exact TFIM - Qubits3": { - "000": 0.4976512808910173, - "001": 0.0007960531090204133, - "010": 0.0007566128909417997, - "011": 0.0007960531090204133, - "100": 0.0007960531090204133, - "101": 0.0007566128909417997, - "110": 0.0007960531090204133, - "111": 0.4976512808910173 + "000": 0.4426079155778677, + "001": 0.01971420432049328, + "010": 0.01796367578114573, + "011": 0.01971420432049328, + "100": 0.01971420432049328, + "101": 0.01796367578114573, + "110": 0.01971420432049328, + "111": 0.4426079155778677 }, "Exact TFIM - Qubits4": { - "0000": 0.4969159984213421, - "0001": 0.0007828838337255872, - "0010": 0.0007517801126956356, - "0011": 4.986342712585259e-06, - "0100": 0.0007517801126956356, - "0101": 4.767694993032917e-06, - "0110": 4.919648109726309e-06, - "0111": 0.0007828838337255871, - "1000": 0.0007828838337255872, - "1001": 4.919648109726309e-06, - "1010": 4.767694993032917e-06, - "1011": 0.0007517801126956353, - "1100": 4.986342712585259e-06, - "1101": 0.0007517801126956353, - "1110": 0.0007828838337255871, - "1111": 0.49691599842134193 + "0000": 0.4292707417742267, + "0001": 0.01598730552100943, + "0010": 0.015241038631590733, + "0011": 0.0028140922026041655, + "0100": 0.015241038631590733, + "0101": 0.002684804656305264, + "0110": 0.002773673061663488, + "0111": 0.01598730552100943, + "1000": 0.01598730552100943, + "1001": 0.002773673061663488, + "1010": 0.002684804656305264, + "1011": 0.015241038631590733, + "1100": 0.0028140922026041655, + "1101": 0.015241038631590733, + "1110": 0.01598730552100943, + "1111": 0.4292707417742267 }, "Exact TFIM - Qubits5": { - "00000": 0.49616063067211247, - "00001": 0.0007840561387239928, - "00010": 0.0007530258659995665, - "00011": 1.2598416899876613e-06, - "00100": 0.0007529951801859937, - "00101": 1.2045595422489261e-06, - "00110": 1.2298990887905125e-06, - "00111": 1.2598416899876613e-06, - "01000": 0.0007530258659995665, - "01001": 1.2048637730937181e-06, - "01010": 1.144879042757574e-06, - "01011": 1.2045595422489261e-06, - "01100": 1.2298990887905125e-06, - "01101": 1.2048637730937181e-06, - "01110": 1.266931023461205e-06, - "01111": 0.0007840561387239928, - "10000": 0.0007840561387239928, - "10001": 1.266931023461205e-06, - "10010": 1.2048637730937181e-06, - "10011": 1.2298990887905125e-06, - "10100": 1.2045595422489261e-06, - "10101": 1.144879042757574e-06, - "10110": 1.2048637730937181e-06, - "10111": 0.0007530258659995665, - "11000": 1.2598416899876613e-06, - "11001": 1.2298990887905125e-06, - "11010": 1.2045595422489261e-06, - "11011": 0.0007529951801859937, - "11100": 1.2598416899876613e-06, - "11101": 0.0007530258659995665, - "11110": 0.0007840561387239928, - "11111": 0.49616063067211247 + "00000": 0.4121293560498176, + "00001": 0.016556697006123444, + "00010": 0.015883218208228973, + "00011": 0.0007422615464540785, + "00100": 0.01586600603526576, + "00101": 0.0007075583377530289, + "00110": 0.0006938001771584168, + "00111": 0.0007422615464540785, + "01000": 0.015883218208228973, + "01001": 0.000709000070151394, + "01010": 0.0006447081937916179, + "01011": 0.0007075583377530289, + "01100": 0.0006938001771584168, + "01101": 0.000709000070151394, + "01110": 0.0007748590293862605, + "01111": 0.016556697006123444, + "10000": 0.016556697006123444, + "10001": 0.0007748590293862605, + "10010": 0.000709000070151394, + "10011": 0.0006938001771584168, + "10100": 0.0007075583377530289, + "10101": 0.0006447081937916179, + "10110": 0.000709000070151394, + "10111": 0.015883218208228973, + "11000": 0.0007422615464540785, + "11001": 0.0006938001771584168, + "11010": 0.0007075583377530289, + "11011": 0.01586600603526576, + "11100": 0.0007422615464540785, + "11101": 0.015883218208228973, + "11110": 0.016556697006123444, + "11111": 0.4121293560498176 }, "Exact TFIM - Qubits6": { - "000000": 0.4954086124671214, - "000001": 0.0007829097273524744, - "000010": 0.000751913639148218, - "000011": 1.239013649682841e-06, - "000100": 0.0007518830229820616, - "000101": 1.18463210784046e-06, - "000110": 1.2222894024776199e-06, - "000111": 7.877317527821345e-09, - "001000": 0.0007518830229820616, - "001001": 1.1845288340346898e-06, - "001010": 1.137566257847078e-06, - "001011": 7.545157032867062e-09, - "001100": 1.2222352409147408e-06, - "001101": 7.647689338967741e-09, - "001110": 7.780260955174816e-09, - "001111": 1.239013649682841e-06, - "010000": 0.000751913639148218, - "010001": 1.18457899838078e-06, - "010010": 1.137514866095065e-06, - "010011": 7.647689338967741e-09, - "010100": 1.137566257847078e-06, - "010101": 7.214302244341135e-09, - "010110": 7.444234997436993e-09, - "010111": 1.18463210784046e-06, - "011000": 1.2222894024776199e-06, - "011001": 7.750916141680075e-09, - "011010": 7.444234997436993e-09, - "011011": 1.1845288340346898e-06, - "011100": 7.780260955174816e-09, - "011101": 1.18457899838078e-06, - "011110": 1.2336532419482943e-06, - "011111": 0.0007829097273524744, - "100000": 0.0007829097273524744, - "100001": 1.2336532419482943e-06, - "100010": 1.18457899838078e-06, - "100011": 7.780260955174816e-09, - "100100": 1.1845288340346898e-06, - "100101": 7.444234997436993e-09, - "100110": 7.750916141680075e-09, - "100111": 1.2222894024776199e-06, - "101000": 1.18463210784046e-06, - "101001": 7.444234997436993e-09, - "101010": 7.214302244341135e-09, - "101011": 1.137566257847078e-06, - "101100": 7.647689338967741e-09, - "101101": 1.137514866095065e-06, - "101110": 1.18457899838078e-06, - "101111": 0.000751913639148218, - "110000": 1.239013649682841e-06, - "110001": 7.780260955174816e-09, - "110010": 7.647689338967741e-09, - "110011": 1.2222352409147408e-06, - "110100": 7.545157032867062e-09, - "110101": 1.137566257847078e-06, - "110110": 1.1845288340346898e-06, - "110111": 0.0007518830229820616, - "111000": 7.877317527821345e-09, - "111001": 1.2222894024776199e-06, - "111010": 1.18463210784046e-06, - "111011": 0.0007518830229820616, - "111100": 1.239013649682841e-06, - "111101": 0.000751913639148218, - "111110": 0.0007829097273524744, - "111111": 0.4954086124671213 + "000000": 0.39655551910027304, + "000001": 0.016087931850883478, + "000010": 0.015406184021313867, + "000011": 0.0006021342160146632, + "000100": 0.01538971926961125, + "000101": 0.0005737890136855654, + "000110": 0.0005909164512731952, + "000111": 0.00010578568290276574, + "001000": 0.01538971926961125, + "001001": 0.0005724255695718773, + "001010": 0.0005469936303128429, + "001011": 0.00010099830659167185, + "001100": 0.0005901992447472472, + "001101": 0.00010241424652122383, + "001110": 0.00010432532236807116, + "001111": 0.0006021342160146636, + "010000": 0.015406184021313867, + "010001": 0.0005730862946039854, + "010010": 0.0005463146298405692, + "010011": 0.00010241424652122383, + "010100": 0.0005469936303128429, + "010101": 9.635639415856393e-05, + "010110": 9.954686442372483e-05, + "010111": 0.0005737890136855652, + "011000": 0.0005909164512731952, + "011001": 0.00010383988845733054, + "011010": 9.954686442372483e-05, + "011011": 0.0005724255695718773, + "011100": 0.00010432532236807116, + "011101": 0.0005730862946039854, + "011110": 0.0006020532518612447, + "011111": 0.016087931850883478, + "100000": 0.016087931850883478, + "100001": 0.0006020532518612445, + "100010": 0.0005730862946039854, + "100011": 0.00010432532236807112, + "100100": 0.0005724255695718773, + "100101": 9.954686442372483e-05, + "100110": 0.00010383988845733054, + "100111": 0.0005909164512731952, + "101000": 0.0005737890136855654, + "101001": 9.954686442372483e-05, + "101010": 9.635639415856393e-05, + "101011": 0.0005469936303128429, + "101100": 0.00010241424652122383, + "101101": 0.0005463146298405692, + "101110": 0.0005730862946039855, + "101111": 0.015406184021313867, + "110000": 0.0006021342160146632, + "110001": 0.00010432532236807112, + "110010": 0.00010241424652122383, + "110011": 0.0005901992447472472, + "110100": 0.00010099830659167185, + "110101": 0.0005469936303128429, + "110110": 0.0005724255695718775, + "110111": 0.01538971926961125, + "111000": 0.00010578568290276574, + "111001": 0.0005909164512731952, + "111010": 0.0005737890136855655, + "111011": 0.01538971926961125, + "111100": 0.0006021342160146636, + "111101": 0.015406184021313867, + "111110": 0.016087931850883478, + "111111": 0.39655551910027304 }, "Exact TFIM - Qubits7": { - "0000000": 0.4946577907907515, - "0000001": 0.0007817198887077296, - "0000010": 0.0007507705998453975, - "0000011": 1.240865456518692e-06, - "0000100": 0.0007507400269288585, - "0000101": 1.18640599561499e-06, - "0000110": 1.224259902735672e-06, - "0000111": 1.9902736654944456e-09, - "0001000": 0.0007507400293612353, - "0001001": 1.1863533964789145e-06, - "0001010": 1.139451286849555e-06, - "0001011": 1.9063477862302406e-09, - "0001100": 1.2242092238869366e-06, - "0001101": 1.957849735764734e-09, - "0001110": 1.9435979367675495e-09, - "0001111": 1.9902736654944452e-09, - "0010000": 0.0007507400269288585, - "0010001": 1.1863535391256329e-06, - "0010010": 1.1394018055109954e-06, - "0010011": 1.9067679157284148e-09, - "0010100": 1.139404853694961e-06, - "0010101": 1.822695583891008e-09, - "0010110": 1.8610402082039855e-09, - "0010111": 1.9063477862302406e-09, - "0011000": 1.2242092238869366e-06, - "0011001": 1.958269720832565e-09, - "0011010": 1.8610387491417116e-09, - "0011011": 1.9067679157284135e-09, - "0011100": 1.943515331195809e-09, - "0011101": 1.9066713166026626e-09, - "0011110": 2.0050359922242048e-09, - "0011111": 1.240865456518692e-06, - "0100000": 0.0007507705998453975, - "0100001": 1.186401903244365e-06, - "0100010": 1.1394483876349384e-06, - "0100011": 1.9066713166026626e-09, - "0100100": 1.1394018055109954e-06, - "0100101": 1.823157453141571e-09, - "0100110": 1.8612492814811865e-09, - "0100111": 1.957849735764733e-09, - "0101000": 1.139451286849555e-06, - "0101001": 1.8231559399077715e-09, - "0101010": 1.7323892278572872e-09, - "0101011": 1.822695583891008e-09, - "0101100": 1.8610387491417116e-09, - "0101101": 1.8231574531415703e-09, - "0101110": 1.9170754131147083e-09, - "0101111": 1.1864059956149904e-06, - "0110000": 1.224259902735672e-06, - "0110001": 1.9581745393875675e-09, - "0110010": 1.8612492814811865e-09, - "0110011": 1.958269720832565e-09, - "0110100": 1.8610402082039855e-09, - "0110101": 1.8231559399077704e-09, - "0110110": 1.917917025902181e-09, - "0110111": 1.1863533964789149e-06, - "0111000": 1.9435979367675495e-09, - "0111001": 1.9581745393875663e-09, - "0111010": 1.9170754131147083e-09, - "0111011": 1.1863535391256337e-06, - "0111100": 2.0050359922242048e-09, - "0111101": 1.186401903244365e-06, - "0111110": 1.2352920375573776e-06, - "0111111": 0.0007817198887077294, - "1000000": 0.0007817198887077296, - "1000001": 1.2352920375573776e-06, - "1000010": 1.186401903244365e-06, - "1000011": 2.0050359922242044e-09, - "1000100": 1.1863535391256329e-06, - "1000101": 1.9170754131147083e-09, - "1000110": 1.9581745393875675e-09, - "1000111": 1.9435979367675495e-09, - "1001000": 1.1863533964789145e-06, - "1001001": 1.917917025902181e-09, - "1001010": 1.8231559399077704e-09, - "1001011": 1.8610402082039855e-09, - "1001100": 1.958269720832565e-09, - "1001101": 1.8612492814811865e-09, - "1001110": 1.9581745393875663e-09, - "1001111": 1.2242599027356724e-06, - "1010000": 1.18640599561499e-06, - "1010001": 1.9170754131147083e-09, - "1010010": 1.823157453141571e-09, - "1010011": 1.8610387491417116e-09, - "1010100": 1.822695583891008e-09, - "1010101": 1.7323892278572872e-09, - "1010110": 1.8231559399077704e-09, - "1010111": 1.139451286849555e-06, - "1011000": 1.957849735764734e-09, - "1011001": 1.8612492814811865e-09, - "1011010": 1.8231574531415703e-09, - "1011011": 1.1394018055109954e-06, - "1011100": 1.9066713166026626e-09, - "1011101": 1.1394483876349388e-06, - "1011110": 1.186401903244365e-06, - "1011111": 0.0007507705998453977, - "1100000": 1.240865456518692e-06, - "1100001": 2.0050359922242044e-09, - "1100010": 1.9066713166026626e-09, - "1100011": 1.943515331195809e-09, - "1100100": 1.9067679157284135e-09, - "1100101": 1.8610387491417116e-09, - "1100110": 1.958269720832565e-09, - "1100111": 1.2242092238869366e-06, - "1101000": 1.9063477862302406e-09, - "1101001": 1.8610402082039855e-09, - "1101010": 1.822695583891008e-09, - "1101011": 1.1394048536949615e-06, - "1101100": 1.9067679157284135e-09, - "1101101": 1.1394018055109954e-06, - "1101110": 1.1863535391256337e-06, - "1101111": 0.0007507400269288588, - "1110000": 1.9902736654944456e-09, - "1110001": 1.9435979367675495e-09, - "1110010": 1.957849735764733e-09, - "1110011": 1.2242092238869366e-06, - "1110100": 1.9063477862302406e-09, - "1110101": 1.139451286849555e-06, - "1110110": 1.1863533964789149e-06, - "1110111": 0.0007507400293612355, - "1111000": 1.9902736654944452e-09, - "1111001": 1.2242599027356724e-06, - "1111010": 1.1864059956149904e-06, - "1111011": 0.0007507400269288588, - "1111100": 1.240865456518692e-06, - "1111101": 0.0007507705998453977, - "1111110": 0.0007817198887077294, - "1111111": 0.494657790790752 + "0000000": 0.38177559895470164, + "0000001": 0.015450182974129584, + "0000010": 0.014790431159355423, + "0000011": 0.0006235141963120095, + "0000100": 0.01477457021294412, + "0000101": 0.0005942233324063746, + "0000110": 0.0006150693265474787, + "0000111": 2.7902769209024934e-05, + "0001000": 0.014774603570097206, + "0001001": 0.0005934738773197282, + "0001010": 0.0005700413282884065, + "0001011": 2.6639915068435054e-05, + "0001100": 0.000614393726615221, + "0001101": 2.7334647671192474e-05, + "0001110": 2.6098601342545623e-05, + "0001111": 2.7902769209024914e-05, + "0010000": 0.01477457021294412, + "0010001": 0.0005934835014002284, + "0010010": 0.0005693489699812903, + "0010011": 2.6671952811158547e-05, + "0010100": 0.0005694234201868611, + "0010101": 2.5393940839406307e-05, + "0010110": 2.4900787317432568e-05, + "0010111": 2.6639915068435054e-05, + "0011000": 0.000614393726615221, + "0011001": 2.736525449178383e-05, + "0011010": 2.48999295131711e-05, + "0011011": 2.6671952811158547e-05, + "0011100": 2.6074081426772766e-05, + "0011101": 2.6684041382047515e-05, + "0011110": 2.9172235301473623e-05, + "0011111": 0.0006235141963120095, + "0100000": 0.014790431159355423, + "0100001": 0.0005941280760825439, + "0100010": 0.0005699769193607534, + "0100011": 2.6684041382047515e-05, + "0100100": 0.0005693489699812903, + "0100101": 2.544657935658689e-05, + "0100110": 2.4936209341457045e-05, + "0100111": 2.733464767119248e-05, + "0101000": 0.0005700413282884065, + "0101001": 2.5445698768253358e-05, + "0101010": 2.313827807319661e-05, + "0101011": 2.5393940839406324e-05, + "0101100": 2.48999295131711e-05, + "0101101": 2.544657935658689e-05, + "0101110": 2.7810265413296324e-05, + "0101111": 0.0005942233324063746, + "0110000": 0.0006150693265474787, + "0110001": 2.7378808460498794e-05, + "0110010": 2.4936209341457045e-05, + "0110011": 2.736525449178383e-05, + "0110100": 2.4900787317432568e-05, + "0110101": 2.5445698768253368e-05, + "0110110": 2.7869674851226205e-05, + "0110111": 0.0005934738773197282, + "0111000": 2.6098601342545623e-05, + "0111001": 2.73788084604988e-05, + "0111010": 2.7810265413296324e-05, + "0111011": 0.0005934835014002284, + "0111100": 2.9172235301473613e-05, + "0111101": 0.0005941280760825439, + "0111110": 0.0006194304659623992, + "0111111": 0.015450182974129577, + "1000000": 0.015450182974129584, + "1000001": 0.0006194304659623991, + "1000010": 0.0005941280760825439, + "1000011": 2.9172235301473623e-05, + "1000100": 0.0005934835014002284, + "1000101": 2.7810265413296314e-05, + "1000110": 2.7378808460498794e-05, + "1000111": 2.609860134254564e-05, + "1001000": 0.0005934738773197282, + "1001001": 2.7869674851226195e-05, + "1001010": 2.5445698768253368e-05, + "1001011": 2.4900787317432568e-05, + "1001100": 2.736525449178383e-05, + "1001101": 2.4936209341457045e-05, + "1001110": 2.73788084604988e-05, + "1001111": 0.000615069326547479, + "1010000": 0.0005942233324063746, + "1010001": 2.7810265413296314e-05, + "1010010": 2.544657935658689e-05, + "1010011": 2.48999295131711e-05, + "1010100": 2.5393940839406324e-05, + "1010101": 2.313827807319662e-05, + "1010110": 2.5445698768253368e-05, + "1010111": 0.0005700413282884068, + "1011000": 2.7334647671192474e-05, + "1011001": 2.4936209341457055e-05, + "1011010": 2.544657935658689e-05, + "1011011": 0.0005693489699812905, + "1011100": 2.6684041382047515e-05, + "1011101": 0.0005699769193607536, + "1011110": 0.0005941280760825439, + "1011111": 0.014790431159355423, + "1100000": 0.0006235141963120095, + "1100001": 2.9172235301473623e-05, + "1100010": 2.66840413820475e-05, + "1100011": 2.6074081426772766e-05, + "1100100": 2.6671952811158547e-05, + "1100101": 2.48999295131711e-05, + "1100110": 2.736525449178384e-05, + "1100111": 0.0006143937266152213, + "1101000": 2.6639915068435054e-05, + "1101001": 2.4900787317432568e-05, + "1101010": 2.5393940839406324e-05, + "1101011": 0.0005694234201868612, + "1101100": 2.6671952811158547e-05, + "1101101": 0.0005693489699812905, + "1101110": 0.0005934835014002284, + "1101111": 0.01477457021294412, + "1110000": 2.7902769209024934e-05, + "1110001": 2.609860134254564e-05, + "1110010": 2.733464767119248e-05, + "1110011": 0.0006143937266152213, + "1110100": 2.6639915068435054e-05, + "1110101": 0.0005700413282884068, + "1110110": 0.0005934738773197282, + "1110111": 0.014774603570097206, + "1111000": 2.7902769209024914e-05, + "1111001": 0.000615069326547479, + "1111010": 0.0005942233324063746, + "1111011": 0.01477457021294412, + "1111100": 0.0006235141963120095, + "1111101": 0.014790431159355423, + "1111110": 0.015450182974129577, + "1111111": 0.38177559895470137 }, "Exact TFIM - Qubits8": { - "00000000": 0.493908104151768, - "00000001": 0.0007805350393640698, - "00000010": 0.0007496326746228004, - "00000011": 1.2390510685638002e-06, - "00000100": 0.0007496021479781743, - "00000101": 1.1846712867231238e-06, - "00000110": 1.2224508632608445e-06, - "00000111": 1.957367257943444e-09, - "00001000": 0.0007496021504095888, - "00001001": 1.1846197947383928e-06, - "00001010": 1.1377683057333438e-06, - "00001011": 1.8748315339402345e-09, - "00001100": 1.2224002913561761e-06, - "00001101": 1.9260416402173557e-09, - "00001110": 1.9314097738714303e-09, - "00001111": 1.2444483216166096e-11, - "00010000": 0.0007496021504095888, - "00010001": 1.1846198026258524e-06, - "00010010": 1.137719656351591e-06, - "00010011": 1.8746682291179602e-09, - "00010100": 1.1377219779672391e-06, - "00010101": 1.7925421166495256e-09, - "00010110": 1.849525504642326e-09, - "00010111": 1.1919677631823397e-11, - "00011000": 1.2224002948636631e-06, - "00011001": 1.9258736423226295e-09, - "00011010": 1.8495242962854567e-09, - "00011011": 1.2092359502447009e-11, - "00011100": 1.93132472380942e-09, - "00011101": 1.2083111866953123e-11, - "00011110": 1.2290059154831755e-11, - "00011111": 1.9573672579434446e-09, - "00100000": 0.0007496021479781743, - "00100001": 1.18461979833384e-06, - "00100010": 1.1377196600122852e-06, - "00100011": 1.8746658287253866e-09, - "00100100": 1.1376733274233698e-06, - "00100101": 1.7923871058711923e-09, - "00100110": 1.8493605148702557e-09, - "00100111": 1.2092359502447009e-11, - "00101000": 1.1377219779672391e-06, - "00101001": 1.7923858449088063e-09, - "00101010": 1.7213237883379426e-09, - "00101011": 1.1417056543230814e-11, - "00101100": 1.8494435485043035e-09, - "00101101": 1.1572214006149508e-11, - "00101110": 1.1772815115339463e-11, - "00101111": 1.8748315339402333e-09, - "00110000": 1.2224002913561761e-06, - "00110001": 1.9258712149291526e-09, - "00110010": 1.849359306491329e-09, - "00110011": 1.2266271944630766e-11, - "00110100": 1.8494435485043035e-09, - "00110101": 1.1572206360539859e-11, - "00110110": 1.1939952248809216e-11, - "00110111": 1.8746682291179602e-09, - "00111000": 1.93132472380942e-09, - "00111001": 1.2256962009806663e-11, - "00111010": 1.1772811745474578e-11, - "00111011": 1.8746658287253857e-09, - "00111100": 1.2300854669697126e-11, - "00111101": 1.874748105267246e-09, - "00111110": 1.952413606161047e-09, - "00111111": 1.2390510685638002e-06, - "01000000": 0.0007496326746228004, - "01000001": 1.1846680355310404e-06, - "01000010": 1.1377659866730418e-06, - "01000011": 1.8747481052672473e-09, - "01000100": 1.1377196600122852e-06, - "01000101": 1.7924630134607138e-09, - "01000110": 1.8494397757516418e-09, - "01000111": 1.2083111866953123e-11, - "01001000": 1.137719656351591e-06, - "01001001": 1.7923080065389055e-09, - "01001010": 1.7212460234274223e-09, - "01001011": 1.1572214006149508e-11, - "01001100": 1.849359306491329e-09, - "01001101": 1.1728411983161686e-11, - "01001110": 1.1933940235650875e-11, - "01001111": 1.9260416402173557e-09, - "01010000": 1.1377683057333438e-06, - "01010001": 1.7924617525401904e-09, - "01010010": 1.7212460234274223e-09, - "01010011": 1.1572206360539859e-11, - "01010100": 1.7213237883379426e-09, - "01010101": 1.0916419139353213e-11, - "01010110": 1.1264344998567424e-11, - "01010111": 1.7925421166495256e-09, - "01011000": 1.8495242962854567e-09, - "01011001": 1.1728409535249092e-11, - "01011010": 1.12643492910924e-11, - "01011011": 1.7923871058711923e-09, - "01011100": 1.1772811745474578e-11, - "01011101": 1.7924630134607138e-09, - "01011110": 1.8667204230379955e-09, - "01011111": 1.1846712867231238e-06, - "01100000": 1.2224508632608445e-06, - "01100001": 1.925956918014692e-09, - "01100010": 1.8494397757516418e-09, - "01100011": 1.2256962009806663e-11, - "01100100": 1.8493605148702557e-09, - "01100101": 1.1728409535249092e-11, - "01100110": 1.2102204975421863e-11, - "01100111": 1.92587364232263e-09, - "01101000": 1.849525504642326e-09, - "01101001": 1.1728414766249164e-11, - "01101010": 1.1264344998567424e-11, - "01101011": 1.7923858449088063e-09, - "01101100": 1.1939952248809215e-11, - "01101101": 1.7923080065389055e-09, - "01101110": 1.8665620249624175e-09, - "01101111": 1.1846197947383928e-06, - "01110000": 1.9314097738714303e-09, - "01110001": 1.2247658192861661e-11, - "01110010": 1.1933940235650875e-11, - "01110011": 1.9258712149291526e-09, - "01110100": 1.1772815115339463e-11, - "01110101": 1.7924617525401904e-09, - "01110110": 1.8665620249624175e-09, - "01110111": 1.1846198026258524e-06, - "01111000": 1.2290059154831755e-11, - "01111001": 1.925956918014692e-09, - "01111010": 1.8667204230379955e-09, - "01111011": 1.18461979833384e-06, - "01111100": 1.952413606161047e-09, - "01111101": 1.18466803553104e-06, - "01111110": 1.2335034461724294e-06, - "01111111": 0.0007805350393640696, - "10000000": 0.0007805350393640698, - "10000001": 1.2335034461724298e-06, - "10000010": 1.1846680355310404e-06, - "10000011": 1.952413606161047e-09, - "10000100": 1.18461979833384e-06, - "10000101": 1.8667204230379955e-09, - "10000110": 1.925956918014692e-09, - "10000111": 1.2290059154831758e-11, - "10001000": 1.1846198026258524e-06, - "10001001": 1.8665620249624175e-09, - "10001010": 1.7924617525401904e-09, - "10001011": 1.1772815115339463e-11, - "10001100": 1.9258712149291526e-09, - "10001101": 1.1933940235650875e-11, - "10001110": 1.2247658192861661e-11, - "10001111": 1.9314097738714303e-09, - "10010000": 1.1846197947383928e-06, - "10010001": 1.8665620249624175e-09, - "10010010": 1.7923080065389055e-09, - "10010011": 1.1939952248809216e-11, - "10010100": 1.7923858449088063e-09, - "10010101": 1.1264344998567424e-11, - "10010110": 1.1728414766249164e-11, - "10010111": 1.849525504642326e-09, - "10011000": 1.9258736423226295e-09, - "10011001": 1.2102204975421866e-11, - "10011010": 1.1728409535249092e-11, - "10011011": 1.8493605148702557e-09, - "10011100": 1.2256962009806663e-11, - "10011101": 1.8494397757516424e-09, - "10011110": 1.925956918014692e-09, - "10011111": 1.2224508632608445e-06, - "10100000": 1.1846712867231238e-06, - "10100001": 1.8667204230379955e-09, - "10100010": 1.7924630134607138e-09, - "10100011": 1.1772811745474578e-11, - "10100100": 1.7923871058711923e-09, - "10100101": 1.12643492910924e-11, - "10100110": 1.1728409535249092e-11, - "10100111": 1.8495242962854567e-09, - "10101000": 1.7925421166495256e-09, - "10101001": 1.1264344998567424e-11, - "10101010": 1.0916419139353213e-11, - "10101011": 1.7213237883379422e-09, - "10101100": 1.1572206360539859e-11, - "10101101": 1.7212460234274217e-09, - "10101110": 1.7924617525401904e-09, - "10101111": 1.1377683057333434e-06, - "10110000": 1.9260416402173557e-09, - "10110001": 1.1933940235650875e-11, - "10110010": 1.1728411983161686e-11, - "10110011": 1.849359306491329e-09, - "10110100": 1.1572214006149505e-11, - "10110101": 1.7212460234274217e-09, - "10110110": 1.7923080065389055e-09, - "10110111": 1.137719656351591e-06, - "10111000": 1.2083111866953123e-11, - "10111001": 1.8494397757516424e-09, - "10111010": 1.7924630134607138e-09, - "10111011": 1.1377196600122852e-06, - "10111100": 1.8747481052672473e-09, - "10111101": 1.1377659866730422e-06, - "10111110": 1.18466803553104e-06, - "10111111": 0.0007496326746228004, - "11000000": 1.2390510685638002e-06, - "11000001": 1.952413606161047e-09, - "11000010": 1.8747481052672473e-09, - "11000011": 1.2300854669697126e-11, - "11000100": 1.8746658287253866e-09, - "11000101": 1.1772811745474578e-11, - "11000110": 1.2256962009806663e-11, - "11000111": 1.9313247238094213e-09, - "11001000": 1.8746682291179602e-09, - "11001001": 1.1939952248809216e-11, - "11001010": 1.1572206360539859e-11, - "11001011": 1.8494435485043035e-09, - "11001100": 1.2266271944630766e-11, - "11001101": 1.849359306491329e-09, - "11001110": 1.9258712149291526e-09, - "11001111": 1.2224002913561761e-06, - "11010000": 1.8748315339402345e-09, - "11010001": 1.1772815115339463e-11, - "11010010": 1.1572214006149508e-11, - "11010011": 1.8494435485043035e-09, - "11010100": 1.1417056543230814e-11, - "11010101": 1.7213237883379422e-09, - "11010110": 1.7923858449088063e-09, - "11010111": 1.1377219779672391e-06, - "11011000": 1.2092359502447009e-11, - "11011001": 1.8493605148702557e-09, - "11011010": 1.7923871058711923e-09, - "11011011": 1.1376733274233698e-06, - "11011100": 1.8746658287253866e-09, - "11011101": 1.1377196600122852e-06, - "11011110": 1.18461979833384e-06, - "11011111": 0.0007496021479781743, - "11100000": 1.957367257943444e-09, - "11100001": 1.2290059154831755e-11, - "11100010": 1.2083111866953123e-11, - "11100011": 1.9313247238094213e-09, - "11100100": 1.2092359502447009e-11, - "11100101": 1.8495242962854567e-09, - "11100110": 1.92587364232263e-09, - "11100111": 1.2224002948636631e-06, - "11101000": 1.1919677631823397e-11, - "11101001": 1.849525504642326e-09, - "11101010": 1.7925421166495256e-09, - "11101011": 1.1377219779672391e-06, - "11101100": 1.8746682291179602e-09, - "11101101": 1.137719656351591e-06, - "11101110": 1.1846198026258524e-06, - "11101111": 0.0007496021504095888, - "11110000": 1.2444483216166096e-11, - "11110001": 1.9314097738714303e-09, - "11110010": 1.9260416402173557e-09, - "11110011": 1.2224002913561761e-06, - "11110100": 1.8748315339402345e-09, - "11110101": 1.1377683057333434e-06, - "11110110": 1.1846197947383928e-06, - "11110111": 0.0007496021504095888, - "11111000": 1.9573672579434446e-09, - "11111001": 1.2224508632608445e-06, - "11111010": 1.1846712867231238e-06, - "11111011": 0.0007496021479781743, - "11111100": 1.2390510685638002e-06, - "11111101": 0.0007496326746228004, - "11111110": 0.0007805350393640696, - "11111111": 0.49390810415176783 + "00000000": 0.3675242350211362, + "00000001": 0.014865467372056015, + "00000010": 0.01423142968451409, + "00000011": 0.0006058521690402442, + "00000100": 0.014216158023537808, + "00000101": 0.0005773995689871378, + "00000110": 0.0005965188818335689, + "00000111": 2.263502750090475e-05, + "00001000": 0.01421619035429455, + "00001001": 0.0005767627059460273, + "00001010": 0.0005529208083695992, + "00001011": 2.161071826794151e-05, + "00001100": 0.0005958706048885243, + "00001101": 2.2244724546589e-05, + "00001110": 2.221956057576847e-05, + "00001111": 3.976646518200713e-06, + "00010000": 0.01421619035429455, + "00010001": 0.0005767653817608906, + "00010010": 0.0005523240159204631, + "00010011": 2.1559511879484723e-05, + "00010100": 0.0005523297310504937, + "00010101": 2.0593021709459694e-05, + "00010110": 2.1208271796226643e-05, + "00010111": 3.7966693020712255e-06, + "00011000": 0.0005958718019689649, + "00011001": 2.2191931432476715e-05, + "00011010": 2.120785993077618e-05, + "00011011": 3.851323157561298e-06, + "00011100": 2.2192807377258877e-05, + "00011101": 3.8503934039363385e-06, + "00011110": 3.921390702658448e-06, + "00011111": 2.263502750090475e-05, + "00100000": 0.014216158023537808, + "00100001": 0.0005767639299482803, + "00100010": 0.0005523252512750817, + "00100011": 2.1558703194168048e-05, + "00100100": 0.0005517325203111062, + "00100101": 2.054451411687247e-05, + "00100110": 2.1156451921640347e-05, + "00100111": 3.851323157561298e-06, + "00101000": 0.0005523297310504937, + "00101001": 2.0544075506489867e-05, + "00101010": 1.963134770437394e-05, + "00101011": 3.6247824005744104e-06, + "00101100": 2.1182524795331667e-05, + "00101101": 3.675680426918384e-06, + "00101110": 3.744256605190788e-06, + "00101111": 2.1610718267941504e-05, + "00110000": 0.0005958706048885243, + "00110001": 2.2191113498600233e-05, + "00110010": 2.1156039864181555e-05, + "00110011": 3.906234123072032e-06, + "00110100": 2.1182524795331667e-05, + "00110101": 3.6756139952359457e-06, + "00110110": 3.7969105510833543e-06, + "00110111": 2.1559511879484723e-05, + "00111000": 2.2192807377258877e-05, + "00111001": 3.905375016207289e-06, + "00111010": 3.7442267901787693e-06, + "00111011": 2.1558703194168048e-05, + "00111100": 3.922827519365723e-06, + "00111101": 2.1584493300514815e-05, + "00111110": 2.2675124464347078e-05, + "00111111": 0.0006058521690402442, + "01000000": 0.01423142968451409, + "01000001": 0.0005773811885695008, + "01000010": 0.0005529159795408151, + "01000011": 2.1584493300514822e-05, + "01000100": 0.0005523252512750817, + "01000101": 2.0568233104349998e-05, + "01000110": 2.1181271307701178e-05, + "01000111": 3.8503934039363385e-06, + "01001000": 0.0005523240159204631, + "01001001": 2.0519758986985062e-05, + "01001010": 1.9606972325628746e-05, + "01001011": 3.6756804269183834e-06, + "01001100": 2.1156039864181555e-05, + "01001101": 3.7268371061829775e-06, + "01001110": 3.7971756846862302e-06, + "01001111": 2.224472454658899e-05, + "01010000": 0.0005529208083695992, + "01010001": 2.0567794859181392e-05, + "01010010": 1.9606972325628746e-05, + "01010011": 3.675613995235945e-06, + "01010100": 1.963134770437394e-05, + "01010101": 3.4581862979971233e-06, + "01010110": 3.572690806361933e-06, + "01010111": 2.0593021709459687e-05, + "01011000": 2.120785993077618e-05, + "01011001": 3.7268155439152257e-06, + "01011010": 3.572727576691839e-06, + "01011011": 2.0544514116872462e-05, + "01011100": 3.7442267901787693e-06, + "01011101": 2.056823310434998e-05, + "01011110": 2.160787523623049e-05, + "01011111": 0.0005773995689871375, + "01100000": 0.0005965188818335689, + "01100001": 2.2218065503770437e-05, + "01100010": 2.1181271307701178e-05, + "01100011": 3.905375016207289e-06, + "01100100": 2.1156451921640347e-05, + "01100101": 3.7268155439152265e-06, + "01100110": 3.850128400498125e-06, + "01100111": 2.2191931432476715e-05, + "01101000": 2.1208271796226643e-05, + "01101001": 3.7268607123090866e-06, + "01101010": 3.572690806361933e-06, + "01101011": 2.0544075506489867e-05, + "01101100": 3.7969105510833543e-06, + "01101101": 2.0519758986985055e-05, + "01101110": 2.1558339224008932e-05, + "01101111": 0.0005767627059460271, + "01110000": 2.221956057576847e-05, + "01110001": 3.904487247124626e-06, + "01110010": 3.7971756846862302e-06, + "01110011": 2.2191113498600233e-05, + "01110100": 3.744256605190788e-06, + "01110101": 2.0567794859181385e-05, + "01110110": 2.1558339224008932e-05, + "01110111": 0.0005767653817608905, + "01111000": 3.921390702658448e-06, + "01111001": 2.2218065503770437e-05, + "01111010": 2.160787523623049e-05, + "01111011": 0.00057676392994828, + "01111100": 2.267512446434709e-05, + "01111101": 0.0005773811885695007, + "01111110": 0.0006029029726243539, + "01111111": 0.014865467372056008, + "10000000": 0.014865467372056015, + "10000001": 0.000602902972624354, + "10000010": 0.0005773811885695008, + "10000011": 2.267512446434709e-05, + "10000100": 0.0005767639299482803, + "10000101": 2.16078752362305e-05, + "10000110": 2.2218065503770437e-05, + "10000111": 3.921390702658446e-06, + "10001000": 0.0005767653817608906, + "10001001": 2.1558339224008925e-05, + "10001010": 2.0567794859181392e-05, + "10001011": 3.744256605190788e-06, + "10001100": 2.2191113498600233e-05, + "10001101": 3.7971756846862294e-06, + "10001110": 3.904487247124626e-06, + "10001111": 2.221956057576847e-05, + "10010000": 0.0005767627059460273, + "10010001": 2.1558339224008925e-05, + "10010010": 2.0519758986985062e-05, + "10010011": 3.7969105510833534e-06, + "10010100": 2.0544075506489867e-05, + "10010101": 3.572690806361933e-06, + "10010110": 3.7268607123090875e-06, + "10010111": 2.1208271796226643e-05, + "10011000": 2.2191931432476715e-05, + "10011001": 3.8501284004981234e-06, + "10011010": 3.7268155439152265e-06, + "10011011": 2.115645192164033e-05, + "10011100": 3.905375016207289e-06, + "10011101": 2.118127130770117e-05, + "10011110": 2.2218065503770437e-05, + "10011111": 0.0005965188818335687, + "10100000": 0.0005773995689871378, + "10100001": 2.16078752362305e-05, + "10100010": 2.0568233104349998e-05, + "10100011": 3.7442267901787693e-06, + "10100100": 2.054451411687247e-05, + "10100101": 3.572727576691839e-06, + "10100110": 3.7268155439152257e-06, + "10100111": 2.120785993077618e-05, + "10101000": 2.0593021709459694e-05, + "10101001": 3.572690806361933e-06, + "10101010": 3.4581862979971233e-06, + "10101011": 1.963134770437394e-05, + "10101100": 3.675613995235945e-06, + "10101101": 1.9606972325628746e-05, + "10101110": 2.0567794859181385e-05, + "10101111": 0.000552920808369599, + "10110000": 2.224472454658899e-05, + "10110001": 3.7971756846862302e-06, + "10110010": 3.7268371061829767e-06, + "10110011": 2.1156039864181545e-05, + "10110100": 3.6756804269183834e-06, + "10110101": 1.9606972325628746e-05, + "10110110": 2.0519758986985055e-05, + "10110111": 0.0005523240159204628, + "10111000": 3.8503934039363385e-06, + "10111001": 2.118127130770117e-05, + "10111010": 2.056823310434998e-05, + "10111011": 0.0005523252512750816, + "10111100": 2.1584493300514815e-05, + "10111101": 0.0005529159795408147, + "10111110": 0.0005773811885695007, + "10111111": 0.014231429684514072, + "11000000": 0.0006058521690402442, + "11000001": 2.2675124464347078e-05, + "11000010": 2.1584493300514822e-05, + "11000011": 3.922827519365725e-06, + "11000100": 2.1558703194168048e-05, + "11000101": 3.7442267901787693e-06, + "11000110": 3.905375016207289e-06, + "11000111": 2.2192807377258884e-05, + "11001000": 2.1559511879484723e-05, + "11001001": 3.7969105510833534e-06, + "11001010": 3.675613995235945e-06, + "11001011": 2.118252479533166e-05, + "11001100": 3.906234123072032e-06, + "11001101": 2.1156039864181545e-05, + "11001110": 2.2191113498600233e-05, + "11001111": 0.0005958706048885241, + "11010000": 2.161071826794151e-05, + "11010001": 3.744256605190788e-06, + "11010010": 3.6756804269183834e-06, + "11010011": 2.118252479533166e-05, + "11010100": 3.6247824005744104e-06, + "11010101": 1.963134770437394e-05, + "11010110": 2.0544075506489867e-05, + "11010111": 0.0005523297310504935, + "11011000": 3.851323157561298e-06, + "11011001": 2.115645192164033e-05, + "11011010": 2.0544514116872462e-05, + "11011011": 0.0005517325203111061, + "11011100": 2.1558703194168048e-05, + "11011101": 0.0005523252512750816, + "11011110": 0.00057676392994828, + "11011111": 0.014216158023537795, + "11100000": 2.263502750090474e-05, + "11100001": 3.921390702658448e-06, + "11100010": 3.8503934039363385e-06, + "11100011": 2.2192807377258884e-05, + "11100100": 3.851323157561298e-06, + "11100101": 2.120785993077618e-05, + "11100110": 2.2191931432476715e-05, + "11100111": 0.0005958718019689643, + "11101000": 3.7966693020712255e-06, + "11101001": 2.1208271796226643e-05, + "11101010": 2.0593021709459687e-05, + "11101011": 0.0005523297310504935, + "11101100": 2.1559511879484723e-05, + "11101101": 0.0005523240159204628, + "11101110": 0.0005767653817608905, + "11101111": 0.014216190354294538, + "11110000": 3.976646518200713e-06, + "11110001": 2.221956057576847e-05, + "11110010": 2.2244724546589e-05, + "11110011": 0.0005958706048885241, + "11110100": 2.1610718267941504e-05, + "11110101": 0.000552920808369599, + "11110110": 0.0005767627059460271, + "11110111": 0.014216190354294538, + "11111000": 2.263502750090475e-05, + "11111001": 0.0005965188818335687, + "11111010": 0.0005773995689871375, + "11111011": 0.014216158023537795, + "11111100": 0.000605852169040244, + "11111101": 0.014231429684514072, + "11111110": 0.014865467372056008, + "11111111": 0.3675242350211358 }, "Exact TFIM - Qubits9": { - "000000000": 0.49315955359251656, - "000000001": 0.0007793520907657444, - "000000010": 0.0007484965610866566, - "000000011": 1.2371680073730508e-06, - "000000100": 0.0007484660807114963, - "000000101": 1.1828708650091569e-06, - "000000110": 1.2205926038792608e-06, - "000000111": 1.9602926885045665e-09, - "000001000": 0.0007484660831392788, - "000001001": 1.1828193819748323e-06, - "000001010": 1.1360387003321172e-06, - "000001011": 1.8776336223959306e-09, - "000001100": 1.2205421035669653e-06, - "000001101": 1.928844236354253e-09, - "000001110": 1.9345216198852674e-09, - "000001111": 3.1442083031059273e-12, - "000010000": 0.0007484660831395943, - "000010001": 1.1828193857255088e-06, - "000010010": 1.1359900510985356e-06, - "000010011": 1.8775504420646493e-09, - "000010100": 1.135992438010507e-06, - "000010101": 1.7952262989580734e-09, - "000010110": 1.8525071958339338e-09, - "000010111": 3.0116115553344284e-12, - "000011000": 1.2205421070397004e-06, - "000011001": 1.928757482552288e-09, - "000011010": 1.8525059892100239e-09, - "000011011": 3.098517104236537e-12, - "000011100": 1.934442064287368e-09, - "000011101": 3.0939620286119878e-12, - "000011110": 3.0699439548083856e-12, - "000011111": 3.1442083031059273e-12, - "000100000": 0.0007484660831392788, - "000100001": 1.1828193857103185e-06, - "000100010": 1.1359900551247938e-06, - "000100011": 1.8775506776995203e-09, - "000100100": 1.1359437912580498e-06, - "000100101": 1.7951479650781227e-09, - "000100110": 1.8524250342816183e-09, - "000100111": 3.012271156671646e-12, - "000101000": 1.1359924416911296e-06, - "000101001": 1.7951467070569406e-09, - "000101010": 1.7241761455006982e-09, - "000101011": 2.8846159691103593e-12, - "000101100": 1.8524305103522712e-09, - "000101101": 2.96254961876656e-12, - "000101110": 2.940983517496742e-12, - "000101111": 3.011611555334428e-12, - "000110000": 1.2205421070397004e-06, - "000110001": 1.9287577208264035e-09, - "000110010": 1.8524238269133427e-09, - "000110011": 3.0991774267391665e-12, - "000110100": 1.8524305096201773e-09, - "000110101": 2.9625476829667207e-12, - "000110110": 3.0253183241768694e-12, - "000110111": 3.0122711566716453e-12, - "000111000": 1.934442073984289e-09, - "000111001": 3.094625859807245e-12, - "000111010": 2.940982000311361e-12, - "000111011": 3.012021578360064e-12, - "000111100": 3.0698092844309214e-12, - "000111101": 3.012116151756231e-12, - "000111110": 3.1675187627886136e-12, - "000111111": 1.9602926885045652e-09, - "001000000": 0.0007484660807114963, - "001000001": 1.18281938187843e-06, - "001000010": 1.1359900514313662e-06, - "001000011": 1.8775506784281895e-09, - "001000100": 1.1359437916035338e-06, - "001000101": 1.7951481816396932e-09, - "001000110": 1.8524252727993386e-09, - "001000111": 3.0120215783600646e-12, - "001001000": 1.1359437912580498e-06, - "001001001": 1.795068344221609e-09, - "001001010": 1.724101272142724e-09, - "001001011": 2.885253630458787e-12, - "001001100": 1.8523483413509991e-09, - "001001101": 2.9631867387814548e-12, - "001001110": 2.941194786791284e-12, - "001001111": 3.0985171042365363e-12, - "001010000": 1.135992438010507e-06, - "001010001": 1.795146922907117e-09, - "001010010": 1.7241012713857965e-09, - "001010011": 2.885251700003536e-12, - "001010100": 1.724105884544006e-09, - "001010101": 2.7580365062760914e-12, - "001010110": 2.8160581938584196e-12, - "001010111": 2.8846159691103585e-12, - "001011000": 1.8524305096201773e-09, - "001011001": 2.9631851239894196e-12, - "001011010": 2.8160586285090924e-12, - "001011011": 2.8852536304587855e-12, - "001011100": 2.940858520407916e-12, - "001011101": 2.885107445905649e-12, - "001011110": 3.0339493884650492e-12, - "001011111": 1.8776336223959293e-09, - "001100000": 1.2205421035669653e-06, - "001100001": 1.9287577222263397e-09, - "001100010": 1.8524240661632522e-09, - "001100011": 3.0989241889903027e-12, - "001100100": 1.8523483413509991e-09, - "001100101": 2.9631848101201923e-12, - "001100110": 3.0255194151564916e-12, - "001100111": 3.0991774267391657e-12, - "001101000": 1.8524305103522712e-09, - "001101001": 2.963185137081875e-12, - "001101010": 2.8160559860348476e-12, - "001101011": 2.8852517000035355e-12, - "001101100": 3.0251884462223496e-12, - "001101101": 2.885997049953525e-12, - "001101110": 3.0350484023463414e-12, - "001101111": 1.877550442064649e-09, - "001110000": 1.934442064287368e-09, - "001110001": 3.0943728662427595e-12, - "001110010": 2.9411932633538917e-12, - "001110011": 3.0989241889903027e-12, - "001110100": 2.940858520407916e-12, - "001110101": 2.8851055287812416e-12, - "001110110": 3.0350484194395497e-12, - "001110111": 1.8775506776995194e-09, - "001111000": 3.0698092844309214e-12, - "001111001": 3.0990246507255724e-12, - "001111010": 3.0339498609856055e-12, - "001111011": 1.8775506784281882e-09, - "001111100": 3.173166659786421e-12, - "001111101": 1.8776272082541303e-09, - "001111110": 1.955001898251193e-09, - "001111111": 1.2371680073730503e-06, - "010000000": 0.0007484965610866566, - "010000001": 1.1828675506430197e-06, - "010000010": 1.1360363131568694e-06, - "010000011": 1.8776272082541324e-09, - "010000100": 1.1359900514313662e-06, - "010000101": 1.7952213645125864e-09, - "010000110": 1.852500760147345e-09, - "010000111": 3.0121161517562318e-12, - "010001000": 1.1359900551247938e-06, - "010001001": 1.7951417439234975e-09, - "010001010": 1.7241717585168586e-09, - "010001011": 2.885107445905649e-12, - "010001100": 1.8524240661632522e-09, - "010001101": 2.963040409866212e-12, - "010001110": 2.9410645919876384e-12, - "010001111": 3.093962028611987e-12, - "010010000": 1.1359900510985356e-06, - "010010001": 1.7951417432119582e-09, - "010010010": 1.7240966430388113e-09, - "010010011": 2.885997049953526e-12, - "010010100": 1.7241012713857965e-09, - "010010101": 2.758735390012372e-12, - "010010110": 2.8163772072732054e-12, - "010010111": 2.962549618766559e-12, - "010011000": 1.8524238269133427e-09, - "010011001": 2.9639331969056063e-12, - "010011010": 2.816374985541138e-12, - "010011011": 2.963186738781453e-12, - "010011100": 2.9411932633538925e-12, - "010011101": 2.9630404098662118e-12, - "010011110": 3.115512196004607e-12, - "010011111": 1.9288442363542527e-09, - "010100000": 1.1360387003321172e-06, - "010100001": 1.7952201065165476e-09, - "010100010": 1.7241717585168586e-09, - "010100011": 2.8851055287812428e-12, - "010100100": 1.724101272142724e-09, - "010100101": 2.7587353975690727e-12, - "010100110": 2.8163745594006543e-12, - "010100111": 2.9625476829667207e-12, - "010101000": 1.7241761455006982e-09, - "010101001": 2.758733100217223e-12, - "010101010": 2.6213882206868608e-12, - "010101011": 2.7580365062760906e-12, - "010101100": 2.8160559860348476e-12, - "010101101": 2.758735390012371e-12, - "010101110": 2.9008486230129733e-12, - "010101111": 1.7952262989580728e-09, - "010110000": 1.8525059892100239e-09, - "010110001": 2.9630387959606537e-12, - "010110010": 2.816374985541138e-12, - "010110011": 2.9631848101201923e-12, - "010110100": 2.8160586285090924e-12, - "010110101": 2.758735397569072e-12, - "010110110": 2.902124515313814e-12, - "010110111": 1.7951479650781223e-09, - "010111000": 2.940982000311362e-12, - "010111001": 2.963040783223053e-12, - "010111010": 2.900851010442578e-12, - "010111011": 1.7951481816396927e-09, - "010111100": 3.0339498609856055e-12, - "010111101": 1.7952213645125864e-09, - "010111110": 1.8692001852103293e-09, - "010111111": 1.1828708650091564e-06, - "011000000": 1.2205926038792608e-06, - "011000001": 1.9288375945833932e-09, - "011000010": 1.852500760147345e-09, - "011000011": 3.0990246507255724e-12, - "011000100": 1.8524252727993386e-09, - "011000101": 2.9630407832230545e-12, - "011000110": 3.0253919396036627e-12, - "011000111": 3.094625859807244e-12, - "011001000": 1.8524250342816183e-09, - "011001001": 2.9639355177746256e-12, - "011001010": 2.8163745594006543e-12, - "011001011": 2.963185123989418e-12, - "011001100": 3.0255194151564916e-12, - "011001101": 2.9639331969056055e-12, - "011001110": 3.1166170179374047e-12, - "011001111": 1.9287574825522875e-09, - "011010000": 1.8525071958339338e-09, - "011010001": 2.963041097608083e-12, - "011010010": 2.8163772072732054e-12, - "011010011": 2.9631851370818744e-12, - "011010100": 2.8160581938584196e-12, - "011010101": 2.7587331002172222e-12, - "011010110": 2.9021221336923873e-12, - "011010111": 1.7951467070569406e-09, - "011011000": 3.0253183241768694e-12, - "011011001": 2.963935517774624e-12, - "011011010": 2.902124515313814e-12, - "011011011": 1.7950683442216084e-09, - "011011100": 3.0350484194395497e-12, - "011011101": 1.795141743923497e-09, - "011011110": 1.869116931740462e-09, - "011011111": 1.1828193819748323e-06, - "011100000": 1.9345216198852674e-09, - "011100001": 3.094472081071199e-12, - "011100010": 2.9410645919876368e-12, - "011100011": 3.0943728662427595e-12, - "011100100": 2.9411947867912834e-12, - "011100101": 2.963038795960652e-12, - "011100110": 3.1166170179374047e-12, - "011100111": 1.928757720826403e-09, - "011101000": 2.940983517496741e-12, - "011101001": 2.963041097608083e-12, - "011101010": 2.9008486230129733e-12, - "011101011": 1.7951469229071164e-09, - "011101100": 3.0350484023463414e-12, - "011101101": 1.7951417432119582e-09, - "011101110": 1.8691171335308925e-09, - "011101111": 1.1828193857255083e-06, - "011110000": 3.0699439548083856e-12, - "011110001": 3.094472081071199e-12, - "011110010": 3.115512196004607e-12, - "011110011": 1.9287577222263393e-09, - "011110100": 3.0339493884650492e-12, - "011110101": 1.7952201065165466e-09, - "011110110": 1.869116931740462e-09, - "011110111": 1.1828193857103185e-06, - "011111000": 3.1675187627886136e-12, - "011111001": 1.928837594583393e-09, - "011111010": 1.8692001852103293e-09, - "011111011": 1.18281938187843e-06, - "011111100": 1.9550018982511935e-09, - "011111101": 1.1828675506430197e-06, - "011111110": 1.231629325567283e-06, - "011111111": 0.0007793520907657444, - "100000000": 0.0007793520907657444, - "100000001": 1.2316293255672844e-06, - "100000010": 1.1828675506430197e-06, - "100000011": 1.9550018982511948e-09, - "100000100": 1.18281938187843e-06, - "100000101": 1.8692001852103305e-09, - "100000110": 1.9288375945833932e-09, - "100000111": 3.1675187627886124e-12, - "100001000": 1.1828193857103185e-06, - "100001001": 1.8691169317404633e-09, - "100001010": 1.7952201065165476e-09, - "100001011": 3.03394938846505e-12, - "100001100": 1.9287577222263397e-09, - "100001101": 3.1155121960046086e-12, - "100001110": 3.094472081071199e-12, - "100001111": 3.0699439548083856e-12, - "100010000": 1.1828193857255088e-06, - "100010001": 1.8691171335308933e-09, - "100010010": 1.7951417432119582e-09, - "100010011": 3.0350484023463426e-12, - "100010100": 1.795146922907117e-09, - "100010101": 2.9008486230129738e-12, - "100010110": 2.963041097608083e-12, - "100010111": 2.940983517496741e-12, - "100011000": 1.9287577208264035e-09, - "100011001": 3.116617017937407e-12, - "100011010": 2.9630387959606537e-12, - "100011011": 2.9411947867912834e-12, - "100011100": 3.0943728662427595e-12, - "100011101": 2.9410645919876376e-12, - "100011110": 3.094472081071199e-12, - "100011111": 1.9345216198852666e-09, - "100100000": 1.1828193819748323e-06, - "100100001": 1.8691169317404633e-09, - "100100010": 1.7951417439234975e-09, - "100100011": 3.0350484194395513e-12, - "100100100": 1.795068344221609e-09, - "100100101": 2.9021245153138143e-12, - "100100110": 2.9639355177746256e-12, - "100100111": 3.025318324176869e-12, - "100101000": 1.7951467070569406e-09, - "100101001": 2.9021221336923877e-12, - "100101010": 2.758733100217223e-12, - "100101011": 2.8160581938584196e-12, - "100101100": 2.963185137081875e-12, - "100101101": 2.8163772072732054e-12, - "100101110": 2.963041097608083e-12, - "100101111": 1.8525071958339332e-09, - "100110000": 1.928757482552288e-09, - "100110001": 3.116617017937407e-12, - "100110010": 2.9639331969056063e-12, - "100110011": 3.0255194151564912e-12, - "100110100": 2.9631851239894196e-12, - "100110101": 2.8163745594006543e-12, - "100110110": 2.963935517774624e-12, - "100110111": 1.852425034281618e-09, - "100111000": 3.094625859807245e-12, - "100111001": 3.025391939603662e-12, - "100111010": 2.963040783223053e-12, - "100111011": 1.852425272799338e-09, - "100111100": 3.0990246507255724e-12, - "100111101": 1.852500760147345e-09, - "100111110": 1.928837594583393e-09, - "100111111": 1.2205926038792604e-06, - "101000000": 1.1828708650091569e-06, - "101000001": 1.8692001852103305e-09, - "101000010": 1.7952213645125864e-09, - "101000011": 3.0339498609856063e-12, - "101000100": 1.7951481816396932e-09, - "101000101": 2.9008510104425796e-12, - "101000110": 2.9630407832230545e-12, - "101000111": 2.940982000311361e-12, - "101001000": 1.7951479650781227e-09, - "101001001": 2.9021245153138143e-12, - "101001010": 2.758735397569072e-12, - "101001011": 2.8160586285090924e-12, - "101001100": 2.9631848101201923e-12, - "101001101": 2.816374985541138e-12, - "101001110": 2.963038795960652e-12, - "101001111": 1.8525059892100226e-09, - "101010000": 1.7952262989580734e-09, - "101010001": 2.9008486230129738e-12, - "101010010": 2.758735390012371e-12, - "101010011": 2.8160559860348476e-12, - "101010100": 2.7580365062760914e-12, - "101010101": 2.6213882206868608e-12, - "101010110": 2.758733100217223e-12, - "101010111": 1.7241761455006987e-09, - "101011000": 2.9625476829667207e-12, - "101011001": 2.8163745594006543e-12, - "101011010": 2.7587353975690727e-12, - "101011011": 1.724101272142724e-09, - "101011100": 2.8851055287812416e-12, - "101011101": 1.7241717585168586e-09, - "101011110": 1.7952201065165466e-09, - "101011111": 1.1360387003321172e-06, - "101100000": 1.928844236354253e-09, - "101100001": 3.1155121960046086e-12, - "101100010": 2.963040409866212e-12, - "101100011": 2.9411932633538917e-12, - "101100100": 2.9631867387814548e-12, - "101100101": 2.816374985541138e-12, - "101100110": 2.9639331969056055e-12, - "101100111": 1.852423826913342e-09, - "101101000": 2.96254961876656e-12, - "101101001": 2.8163772072732054e-12, - "101101010": 2.758735390012372e-12, - "101101011": 1.7241012713857965e-09, - "101101100": 2.885997049953525e-12, - "101101101": 1.724096643038812e-09, - "101101110": 1.7951417432119582e-09, - "101101111": 1.1359900510985352e-06, - "101110000": 3.093962028611987e-12, - "101110001": 2.9410645919876368e-12, - "101110010": 2.9630404098662118e-12, - "101110011": 1.8524240661632516e-09, - "101110100": 2.885107445905648e-12, - "101110101": 1.7241717585168586e-09, - "101110110": 1.795141743923497e-09, - "101110111": 1.1359900551247938e-06, - "101111000": 3.012116151756231e-12, - "101111001": 1.852500760147345e-09, - "101111010": 1.7952213645125864e-09, - "101111011": 1.1359900514313662e-06, - "101111100": 1.8776272082541303e-09, - "101111101": 1.136036313156869e-06, - "101111110": 1.1828675506430197e-06, - "101111111": 0.0007484965610866567, - "110000000": 1.2371680073730508e-06, - "110000001": 1.955001898251195e-09, - "110000010": 1.8776272082541324e-09, - "110000011": 3.1731666597864223e-12, - "110000100": 1.8775506784281895e-09, - "110000101": 3.0339498609856063e-12, - "110000110": 3.0990246507255724e-12, - "110000111": 3.0698092844309206e-12, - "110001000": 1.8775506776995215e-09, - "110001001": 3.0350484194395513e-12, - "110001010": 2.8851055287812424e-12, - "110001011": 2.9408585204079153e-12, - "110001100": 3.0989241889903027e-12, - "110001101": 2.9411932633538917e-12, - "110001110": 3.0943728662427595e-12, - "110001111": 1.9344420642873676e-09, - "110010000": 1.87755044206465e-09, - "110010001": 3.0350484023463426e-12, - "110010010": 2.885997049953526e-12, - "110010011": 3.025188446222349e-12, - "110010100": 2.885251700003536e-12, - "110010101": 2.8160559860348476e-12, - "110010110": 2.9631851370818744e-12, - "110010111": 1.8524305103522706e-09, - "110011000": 3.0991774267391665e-12, - "110011001": 3.0255194151564912e-12, - "110011010": 2.9631848101201923e-12, - "110011011": 1.8523483413509987e-09, - "110011100": 3.0989241889903027e-12, - "110011101": 1.8524240661632516e-09, - "110011110": 1.9287577222263393e-09, - "110011111": 1.2205421035669653e-06, - "110100000": 1.8776336223959306e-09, - "110100001": 3.03394938846505e-12, - "110100010": 2.885107445905649e-12, - "110100011": 2.9408585204079153e-12, - "110100100": 2.885253630458787e-12, - "110100101": 2.8160586285090924e-12, - "110100110": 2.963185123989418e-12, - "110100111": 1.8524305096201766e-09, - "110101000": 2.8846159691103593e-12, - "110101001": 2.8160581938584196e-12, - "110101010": 2.7580365062760914e-12, - "110101011": 1.724105884544006e-09, - "110101100": 2.8852517000035355e-12, - "110101101": 1.7241012713857965e-09, - "110101110": 1.7951469229071164e-09, - "110101111": 1.1359924380105065e-06, - "110110000": 3.098517104236537e-12, - "110110001": 2.941194786791282e-12, - "110110010": 2.963186738781453e-12, - "110110011": 1.8523483413509987e-09, - "110110100": 2.8852536304587855e-12, - "110110101": 1.724101272142724e-09, - "110110110": 1.7950683442216084e-09, - "110110111": 1.1359437912580498e-06, - "110111000": 3.012021578360064e-12, - "110111001": 1.852425272799338e-09, - "110111010": 1.7951481816396927e-09, - "110111011": 1.1359437916035333e-06, - "110111100": 1.8775506784281882e-09, - "110111101": 1.1359900514313662e-06, - "110111110": 1.18281938187843e-06, - "110111111": 0.0007484660807114963, - "111000000": 1.9602926885045665e-09, - "111000001": 3.1675187627886124e-12, - "111000010": 3.0121161517562318e-12, - "111000011": 3.0698092844309206e-12, - "111000100": 3.0120215783600646e-12, - "111000101": 2.940982000311361e-12, - "111000110": 3.094625859807244e-12, - "111000111": 1.934442073984288e-09, - "111001000": 3.012271156671646e-12, - "111001001": 3.025318324176869e-12, - "111001010": 2.9625476829667207e-12, - "111001011": 1.8524305096201766e-09, - "111001100": 3.0991774267391657e-12, - "111001101": 1.852423826913342e-09, - "111001110": 1.928757720826403e-09, - "111001111": 1.2205421070396998e-06, - "111010000": 3.0116115553344284e-12, - "111010001": 2.940983517496741e-12, - "111010010": 2.962549618766559e-12, - "111010011": 1.8524305103522706e-09, - "111010100": 2.8846159691103585e-12, - "111010101": 1.7241761455006987e-09, - "111010110": 1.7951467070569406e-09, - "111010111": 1.1359924416911296e-06, - "111011000": 3.0122711566716453e-12, - "111011001": 1.852425034281618e-09, - "111011010": 1.7951479650781223e-09, - "111011011": 1.1359437912580498e-06, - "111011100": 1.8775506776995194e-09, - "111011101": 1.1359900551247938e-06, - "111011110": 1.1828193857103185e-06, - "111011111": 0.0007484660831392788, - "111100000": 3.1442083031059273e-12, - "111100001": 3.0699439548083856e-12, - "111100010": 3.093962028611987e-12, - "111100011": 1.9344420642873676e-09, - "111100100": 3.0985171042365363e-12, - "111100101": 1.8525059892100226e-09, - "111100110": 1.9287574825522875e-09, - "111100111": 1.2205421070396998e-06, - "111101000": 3.011611555334428e-12, - "111101001": 1.8525071958339332e-09, - "111101010": 1.7952262989580728e-09, - "111101011": 1.1359924380105065e-06, - "111101100": 1.877550442064649e-09, - "111101101": 1.1359900510985352e-06, - "111101110": 1.1828193857255083e-06, - "111101111": 0.0007484660831395939, - "111110000": 3.1442083031059273e-12, - "111110001": 1.9345216198852666e-09, - "111110010": 1.9288442363542527e-09, - "111110011": 1.2205421035669653e-06, - "111110100": 1.8776336223959293e-09, - "111110101": 1.1360387003321172e-06, - "111110110": 1.1828193819748323e-06, - "111110111": 0.0007484660831392788, - "111111000": 1.9602926885045652e-09, - "111111001": 1.2205926038792604e-06, - "111111010": 1.1828708650091564e-06, - "111111011": 0.0007484660807114963, - "111111100": 1.2371680073730503e-06, - "111111101": 0.0007484965610866567, - "111111110": 0.0007793520907657444, - "111111111": 0.4931595535925169 + "000000000": 0.3537959493985609, + "000000001": 0.014311197969025758, + "000000010": 0.01370103002576549, + "000000011": 0.000581837214394674, + "000000100": 0.013686329035403177, + "000000101": 0.0005545106789572356, + "000000110": 0.0005726999073993596, + "000000111": 2.3438722565952995e-05, + "000001000": 0.013686360177975237, + "000001001": 0.0005538799437816303, + "000001010": 0.0005308217177881472, + "000001011": 2.23780498543626e-05, + "000001100": 0.0005720753791433945, + "000001101": 2.3011702926695977e-05, + "000001110": 2.3126794840268644e-05, + "000001111": 1.048908013264e-06, + "000010000": 0.013686360274773686, + "000010001": 0.0005538809409852175, + "000010010": 0.0005302275747013984, + "000010011": 2.2349836516501846e-05, + "000010100": 0.0005302523171158758, + "000010101": 2.1326399922284357e-05, + "000010110": 2.2075123806717307e-05, + "000010111": 1.0014359630248074e-06, + "000011000": 0.0005720765218921427, + "000011001": 2.2982307823327884e-05, + "000011010": 2.207473942244842e-05, + "000011011": 1.0291718612113999e-06, + "000011100": 2.3101559297352983e-05, + "000011101": 1.0282087929831891e-06, + "000011110": 9.809223875682676e-07, + "000011111": 1.0489080132639996e-06, + "000100000": 0.013686360177975237, + "000100001": 0.0005538809157933131, + "000100010": 0.0005302286243769165, + "000100011": 2.2350254097493075e-05, + "000100100": 0.0005296589716496378, + "000100101": 2.129989602265159e-05, + "000100110": 2.2047837875417676e-05, + "000100111": 1.0026364472515638e-06, + "000101000": 0.000530253514619141, + "000101001": 2.129949528205732e-05, + "000101010": 2.0458518897332305e-05, + "000101011": 9.560942015579273e-07, + "000101100": 2.2050876035374715e-05, + "000101101": 9.81052373429825e-07, + "000101110": 9.366842750804969e-07, + "000101111": 1.001435963024807e-06, + "000110000": 0.0005720765218921429, + "000110001": 2.298272605077076e-05, + "000110010": 2.2047447643080143e-05, + "000110011": 1.0303313515795489e-06, + "000110100": 2.2050870088052738e-05, + "000110101": 9.810347918908255e-07, + "000110110": 9.626317192414242e-07, + "000110111": 1.002636447251563e-06, + "000111000": 2.3101611244978513e-05, + "000111001": 1.0293675342485445e-06, + "000111010": 9.366579819093124e-07, + "000111011": 1.0022431028007079e-06, + "000111100": 9.799968648494116e-07, + "000111101": 1.0030784108676343e-06, + "000111110": 1.096631961724156e-06, + "000111111": 2.343872256595299e-05, + "001000000": 0.013686329035403177, + "001000001": 0.0005538796628734127, + "001000010": 0.0005302274056145307, + "001000011": 2.2350215338100356e-05, + "001000100": 0.0005296588236794835, + "001000101": 2.130024729150726e-05, + "001000110": 2.2048221314236312e-05, + "001000111": 1.0022431028007087e-06, + "001001000": 0.0005296589716496378, + "001001001": 2.1272934569013228e-05, + "001001010": 2.043367012257386e-05, + "001001011": 9.57262254560947e-07, + "001001100": 2.2023561416088754e-05, + "001001101": 9.82177759986303e-07, + "001001110": 9.371763208351457e-07, + "001001111": 1.029171861211399e-06, + "001010000": 0.0005302523171158758, + "001010001": 2.1299840783341143e-05, + "001010010": 2.0433663978683805e-05, + "001010011": 9.572443169824394e-07, + "001010100": 2.0436342460416926e-05, + "001010101": 9.113767594775602e-07, + "001010110": 8.936777144520047e-07, + "001010111": 9.560942015579273e-07, + "001011000": 2.2050870088052738e-05, + "001011001": 9.821506184830143e-07, + "001011010": 8.936691974035551e-07, + "001011011": 9.572622545609465e-07, + "001011100": 9.358040200693341e-07, + "001011101": 9.576954767391593e-07, + "001011110": 1.0469973359221585e-06, + "001011111": 2.23780498543626e-05, + "001100000": 0.0005720753791433942, + "001100001": 2.298269220360352e-05, + "001100010": 2.204783703331177e-05, + "001100011": 1.0299329014567133e-06, + "001100100": 2.2023561416088754e-05, + "001100101": 9.821606737508497e-07, + "001100110": 9.630622348351598e-07, + "001100111": 1.0303313515795478e-06, + "001101000": 2.2050876035374715e-05, + "001101001": 9.82151387900188e-07, + "001101010": 8.93646919621575e-07, + "001101011": 9.57244316982439e-07, + "001101100": 9.61716258609796e-07, + "001101101": 9.592714696414458e-07, + "001101110": 1.0488867426714962e-06, + "001101111": 2.2349836516501835e-05, + "001110000": 2.3101559297352983e-05, + "001110001": 1.0289685263936308e-06, + "001110010": 9.371497548979579e-07, + "001110011": 1.0299329014567124e-06, + "001110100": 9.358040200693341e-07, + "001110101": 9.576783303588746e-07, + "001110110": 1.0488876841747686e-06, + "001110111": 2.2350254097493075e-05, + "001111000": 9.799968648494116e-07, + "001111001": 1.0308309976959465e-06, + "001111010": 1.0470131433096016e-06, + "001111011": 2.235021533810035e-05, + "001111100": 1.0983133032812592e-06, + "001111101": 2.237446900633729e-05, + "001111110": 2.3327403498538766e-05, + "001111111": 0.0005818372143946738, + "010000000": 0.01370103002576549, + "010000001": 0.0005544742151574262, + "010000010": 0.0005307966184911828, + "010000011": 2.23744690063373e-05, + "010000100": 0.0005302274056145307, + "010000101": 2.1323381220920675e-05, + "010000110": 2.2072096963992423e-05, + "010000111": 1.0030784108676343e-06, + "010001000": 0.0005302286243769165, + "010001001": 2.1296436355702125e-05, + "010001010": 2.045620703758517e-05, + "010001011": 9.576954767391593e-07, + "010001100": 2.204783703331177e-05, + "010001101": 9.826318625577044e-07, + "010001110": 9.376274938424738e-07, + "010001111": 1.0282087929831887e-06, + "010010000": 0.0005302275747013984, + "010010001": 2.129643058192645e-05, + "010010010": 2.0430965831328047e-05, + "010010011": 9.592714696414458e-07, + "010010100": 2.0433663978683805e-05, + "010010101": 9.132659405215181e-07, + "010010110": 8.949718798488439e-07, + "010010111": 9.81052373429825e-07, + "010011000": 2.2047447643080143e-05, + "010011001": 9.841611696138845e-07, + "010011010": 8.949402814483884e-07, + "010011011": 9.82177759986303e-07, + "010011100": 9.371497548979579e-07, + "010011101": 9.826318625577048e-07, + "010011110": 1.0737351041861643e-06, + "010011111": 2.3011702926695977e-05, + "010100000": 0.0005308217177881472, + "010100001": 2.1322980672435995e-05, + "010100010": 2.045620703758517e-05, + "010100011": 9.576783303588746e-07, + "010100100": 2.043367012257386e-05, + "010100101": 9.132664724655028e-07, + "010100110": 8.949493643834077e-07, + "010100111": 9.810347918908255e-07, + "010101000": 2.0458518897332305e-05, + "010101001": 9.132343276891187e-07, + "010101010": 8.304220689314544e-07, + "010101011": 9.1137675947756e-07, + "010101100": 8.93646919621575e-07, + "010101101": 9.132659405215179e-07, + "010101110": 9.980975372505872e-07, + "010101111": 2.1326399922284357e-05, + "010110000": 2.207473942244842e-05, + "010110001": 9.826047684071042e-07, + "010110010": 8.949402814483884e-07, + "010110011": 9.821606737508492e-07, + "010110100": 8.936691974035551e-07, + "010110101": 9.132664724655026e-07, + "010110110": 1.0002633403685565e-06, + "010110111": 2.129989602265159e-05, + "010111000": 9.366579819093124e-07, + "010111001": 9.826472533935996e-07, + "010111010": 9.98131056921949e-07, + "010111011": 2.1300247291507268e-05, + "010111100": 1.0470131433096016e-06, + "010111101": 2.1323381220920668e-05, + "010111110": 2.2231490877986162e-05, + "010111111": 0.0005545106789572354, + "011000000": 0.0005726999073993594, + "011000001": 2.300803080704273e-05, + "011000010": 2.2072096963992423e-05, + "011000011": 1.0308309976959475e-06, + "011000100": 2.2048221314236312e-05, + "011000101": 9.826472533935996e-07, + "011000110": 9.635698363614745e-07, + "011000111": 1.0293675342485436e-06, + "011001000": 2.2047837875417666e-05, + "011001001": 9.841946555552562e-07, + "011001010": 8.949493643834077e-07, + "011001011": 9.821506184830143e-07, + "011001100": 9.630622348351598e-07, + "011001101": 9.84161169613885e-07, + "011001110": 1.0755807870441632e-06, + "011001111": 2.2982307823327884e-05, + "011010000": 2.2075123806717307e-05, + "011010001": 9.82637217649081e-07, + "011010010": 8.949718798488439e-07, + "011010011": 9.82151387900188e-07, + "011010100": 8.936777144520047e-07, + "011010101": 9.132343276891187e-07, + "011010110": 1.0002302744263855e-06, + "011010111": 2.1299495282057314e-05, + "011011000": 9.626317192414242e-07, + "011011001": 9.841946555552562e-07, + "011011010": 1.0002633403685565e-06, + "011011011": 2.127293456901322e-05, + "011011100": 1.0488876841747686e-06, + "011011101": 2.129643635570213e-05, + "011011110": 2.2202801406110332e-05, + "011011111": 0.0005538799437816302, + "011100000": 2.3126794840268634e-05, + "011100001": 1.0298582369640211e-06, + "011100010": 9.376274938424738e-07, + "011100011": 1.02896852639363e-06, + "011100100": 9.371763208351459e-07, + "011100101": 9.826047684071046e-07, + "011100110": 1.0755807870441632e-06, + "011100111": 2.2982726050770752e-05, + "011101000": 9.366842750804969e-07, + "011101001": 9.82637217649081e-07, + "011101010": 9.980975372505872e-07, + "011101011": 2.1299840783341143e-05, + "011101100": 1.0488867426714962e-06, + "011101101": 2.129643058192645e-05, + "011101110": 2.220316265852758e-05, + "011101111": 0.0005538809409852171, + "011110000": 9.809223875682672e-07, + "011110001": 1.0298582369640198e-06, + "011110010": 1.0737351041861643e-06, + "011110011": 2.298269220360352e-05, + "011110100": 1.0469973359221585e-06, + "011110101": 2.1322980672435988e-05, + "011110110": 2.2202801406110332e-05, + "011110111": 0.0005538809157933128, + "011111000": 1.096631961724156e-06, + "011111001": 2.3008030807042736e-05, + "011111010": 2.2231490877986162e-05, + "011111011": 0.0005538796628734124, + "011111100": 2.3327403498538766e-05, + "011111101": 0.0005544742151574262, + "011111110": 0.0005792017058609696, + "011111111": 0.01431119796902575, + "100000000": 0.014311197969025758, + "100000001": 0.0005792017058609702, + "100000010": 0.0005544742151574264, + "100000011": 2.332740349853879e-05, + "100000100": 0.0005538796628734127, + "100000101": 2.223149087798617e-05, + "100000110": 2.300803080704273e-05, + "100000111": 1.096631961724156e-06, + "100001000": 0.0005538809157933131, + "100001001": 2.220280140611034e-05, + "100001010": 2.1322980672435995e-05, + "100001011": 1.0469973359221585e-06, + "100001100": 2.298269220360352e-05, + "100001101": 1.0737351041861648e-06, + "100001110": 1.0298582369640203e-06, + "100001111": 9.809223875682672e-07, + "100010000": 0.0005538809409852175, + "100010001": 2.2203162658527588e-05, + "100010010": 2.129643058192645e-05, + "100010011": 1.0488867426714962e-06, + "100010100": 2.1299840783341143e-05, + "100010101": 9.980975372505872e-07, + "100010110": 9.82637217649081e-07, + "100010111": 9.366842750804969e-07, + "100011000": 2.2982726050770752e-05, + "100011001": 1.0755807870441637e-06, + "100011010": 9.826047684071046e-07, + "100011011": 9.371763208351463e-07, + "100011100": 1.0289685263936304e-06, + "100011101": 9.376274938424738e-07, + "100011110": 1.0298582369640198e-06, + "100011111": 2.3126794840268627e-05, + "100100000": 0.0005538799437816303, + "100100001": 2.220280140611034e-05, + "100100010": 2.129643635570213e-05, + "100100011": 1.0488876841747681e-06, + "100100100": 2.127293456901322e-05, + "100100101": 1.0002633403685565e-06, + "100100110": 9.841946555552562e-07, + "100100111": 9.626317192414242e-07, + "100101000": 2.129949528205732e-05, + "100101001": 1.0002302744263855e-06, + "100101010": 9.132343276891187e-07, + "100101011": 8.936777144520047e-07, + "100101100": 9.82151387900188e-07, + "100101101": 8.949718798488439e-07, + "100101110": 9.82637217649081e-07, + "100101111": 2.2075123806717307e-05, + "100110000": 2.2982307823327894e-05, + "100110001": 1.0755807870441637e-06, + "100110010": 9.841611696138845e-07, + "100110011": 9.630622348351598e-07, + "100110100": 9.821506184830143e-07, + "100110101": 8.949493643834077e-07, + "100110110": 9.841946555552562e-07, + "100110111": 2.2047837875417676e-05, + "100111000": 1.0293675342485445e-06, + "100111001": 9.635698363614745e-07, + "100111010": 9.826472533936e-07, + "100111011": 2.2048221314236312e-05, + "100111100": 1.0308309976959465e-06, + "100111101": 2.2072096963992423e-05, + "100111110": 2.3008030807042736e-05, + "100111111": 0.0005726999073993594, + "101000000": 0.0005545106789572356, + "101000001": 2.223149087798617e-05, + "101000010": 2.1323381220920675e-05, + "101000011": 1.0470131433096016e-06, + "101000100": 2.130024729150726e-05, + "101000101": 9.981310569219494e-07, + "101000110": 9.826472533936e-07, + "101000111": 9.366579819093122e-07, + "101001000": 2.129989602265159e-05, + "101001001": 1.0002633403685565e-06, + "101001010": 9.132664724655028e-07, + "101001011": 8.936691974035551e-07, + "101001100": 9.8216067375085e-07, + "101001101": 8.949402814483884e-07, + "101001110": 9.826047684071042e-07, + "101001111": 2.2074739422448413e-05, + "101010000": 2.1326399922284368e-05, + "101010001": 9.980975372505872e-07, + "101010010": 9.132659405215181e-07, + "101010011": 8.936469196215748e-07, + "101010100": 9.113767594775602e-07, + "101010101": 8.304220689314544e-07, + "101010110": 9.132343276891185e-07, + "101010111": 2.0458518897332298e-05, + "101011000": 9.81034791890826e-07, + "101011001": 8.949493643834077e-07, + "101011010": 9.132664724655026e-07, + "101011011": 2.043367012257386e-05, + "101011100": 9.576783303588746e-07, + "101011101": 2.0456207037585164e-05, + "101011110": 2.1322980672435978e-05, + "101011111": 0.000530821717788147, + "101100000": 2.3011702926695977e-05, + "101100001": 1.0737351041861648e-06, + "101100010": 9.826318625577048e-07, + "101100011": 9.371497548979579e-07, + "101100100": 9.82177759986303e-07, + "101100101": 8.949402814483884e-07, + "101100110": 9.841611696138845e-07, + "101100111": 2.2047447643080143e-05, + "101101000": 9.810523734298253e-07, + "101101001": 8.949718798488439e-07, + "101101010": 9.132659405215179e-07, + "101101011": 2.0433663978683798e-05, + "101101100": 9.592714696414462e-07, + "101101101": 2.043096583132803e-05, + "101101110": 2.129643058192645e-05, + "101101111": 0.0005302275747013983, + "101110000": 1.0282087929831891e-06, + "101110001": 9.376274938424738e-07, + "101110010": 9.826318625577044e-07, + "101110011": 2.2047837033311763e-05, + "101110100": 9.576954767391598e-07, + "101110101": 2.0456207037585164e-05, + "101110110": 2.129643635570213e-05, + "101110111": 0.0005302286243769165, + "101111000": 1.0030784108676343e-06, + "101111001": 2.2072096963992416e-05, + "101111010": 2.1323381220920668e-05, + "101111011": 0.0005302274056145305, + "101111100": 2.237446900633729e-05, + "101111101": 0.0005307966184911826, + "101111110": 0.0005544742151574262, + "101111111": 0.013701030025765478, + "110000000": 0.0005818372143946737, + "110000001": 2.332740349853879e-05, + "110000010": 2.23744690063373e-05, + "110000011": 1.0983133032812598e-06, + "110000100": 2.235021533810035e-05, + "110000101": 1.0470131433096016e-06, + "110000110": 1.0308309976959475e-06, + "110000111": 9.799968648494112e-07, + "110001000": 2.2350254097493075e-05, + "110001001": 1.0488876841747686e-06, + "110001010": 9.576783303588746e-07, + "110001011": 9.358040200693341e-07, + "110001100": 1.0299329014567133e-06, + "110001101": 9.371497548979581e-07, + "110001110": 1.02896852639363e-06, + "110001111": 2.3101559297352973e-05, + "110010000": 2.2349836516501846e-05, + "110010001": 1.0488867426714966e-06, + "110010010": 9.592714696414458e-07, + "110010011": 9.61716258609796e-07, + "110010100": 9.572443169824394e-07, + "110010101": 8.93646919621575e-07, + "110010110": 9.82151387900188e-07, + "110010111": 2.2050876035374715e-05, + "110011000": 1.0303313515795489e-06, + "110011001": 9.630622348351598e-07, + "110011010": 9.821606737508492e-07, + "110011011": 2.2023561416088754e-05, + "110011100": 1.0299329014567129e-06, + "110011101": 2.204783703331177e-05, + "110011110": 2.298269220360352e-05, + "110011111": 0.0005720753791433941, + "110100000": 2.23780498543626e-05, + "110100001": 1.046997335922159e-06, + "110100010": 9.576954767391598e-07, + "110100011": 9.358040200693341e-07, + "110100100": 9.57262254560947e-07, + "110100101": 8.936691974035551e-07, + "110100110": 9.821506184830143e-07, + "110100111": 2.205087008805273e-05, + "110101000": 9.560942015579273e-07, + "110101001": 8.936777144520045e-07, + "110101010": 9.1137675947756e-07, + "110101011": 2.0436342460416916e-05, + "110101100": 9.572443169824394e-07, + "110101101": 2.0433663978683798e-05, + "110101110": 2.1299840783341133e-05, + "110101111": 0.0005302523171158758, + "110110000": 1.0291718612113999e-06, + "110110001": 9.371763208351463e-07, + "110110010": 9.82177759986303e-07, + "110110011": 2.2023561416088747e-05, + "110110100": 9.57262254560947e-07, + "110110101": 2.043367012257386e-05, + "110110110": 2.127293456901322e-05, + "110110111": 0.0005296589716496378, + "110111000": 1.0022431028007079e-06, + "110111001": 2.2048221314236302e-05, + "110111010": 2.130024729150726e-05, + "110111011": 0.0005296588236794835, + "110111100": 2.235021533810035e-05, + "110111101": 0.0005302274056145305, + "110111110": 0.0005538796628734124, + "110111111": 0.013686329035403167, + "111000000": 2.343872256595299e-05, + "111000001": 1.096631961724156e-06, + "111000010": 1.0030784108676343e-06, + "111000011": 9.799968648494112e-07, + "111000100": 1.0022431028007083e-06, + "111000101": 9.366579819093129e-07, + "111000110": 1.029367534248544e-06, + "111000111": 2.3101611244978506e-05, + "111001000": 1.0026364472515634e-06, + "111001001": 9.626317192414242e-07, + "111001010": 9.81034791890825e-07, + "111001011": 2.2050870088052738e-05, + "111001100": 1.0303313515795484e-06, + "111001101": 2.2047447643080143e-05, + "111001110": 2.2982726050770752e-05, + "111001111": 0.0005720765218921426, + "111010000": 1.0014359630248074e-06, + "111010001": 9.366842750804969e-07, + "111010010": 9.81052373429825e-07, + "111010011": 2.2050876035374705e-05, + "111010100": 9.560942015579273e-07, + "111010101": 2.0458518897332298e-05, + "111010110": 2.1299495282057314e-05, + "111010111": 0.0005302535146191409, + "111011000": 1.002636447251563e-06, + "111011001": 2.2047837875417666e-05, + "111011010": 2.129989602265159e-05, + "111011011": 0.0005296589716496378, + "111011100": 2.2350254097493075e-05, + "111011101": 0.0005302286243769165, + "111011110": 0.0005538809157933128, + "111011111": 0.01368636017797523, + "111100000": 1.048908013264e-06, + "111100001": 9.809223875682672e-07, + "111100010": 1.0282087929831883e-06, + "111100011": 2.3101559297352973e-05, + "111100100": 1.029171861211399e-06, + "111100101": 2.207473942244842e-05, + "111100110": 2.2982307823327884e-05, + "111100111": 0.0005720765218921426, + "111101000": 1.001435963024807e-06, + "111101001": 2.20751238067173e-05, + "111101010": 2.1326399922284357e-05, + "111101011": 0.0005302523171158758, + "111101100": 2.2349836516501835e-05, + "111101101": 0.0005302275747013983, + "111101110": 0.0005538809409852171, + "111101111": 0.01368636027477367, + "111110000": 1.0489080132639996e-06, + "111110001": 2.3126794840268627e-05, + "111110010": 2.3011702926695977e-05, + "111110011": 0.0005720753791433941, + "111110100": 2.23780498543626e-05, + "111110101": 0.000530821717788147, + "111110110": 0.0005538799437816302, + "111110111": 0.01368636017797523, + "111111000": 2.3438722565952995e-05, + "111111001": 0.0005726999073993594, + "111111010": 0.0005545106789572354, + "111111011": 0.013686329035403167, + "111111100": 0.0005818372143946734, + "111111101": 0.013701030025765478, + "111111110": 0.01431119796902575, + "111111111": 0.353795949398561 }, "Heisenberg - Qubits10": { "0000001101": 2e-05, - "0000010101": 2e-05, - "0000011001": 1e-05, - "0000011011": 1e-05, + "0000010011": 1e-05, + "0000011001": 4e-05, "0000011101": 1e-05, - "0000101011": 0.00011, - "0000101101": 0.00027, - "0000101110": 1e-05, - "0000110001": 2e-05, - "0000110011": 0.00021, - "0000110100": 1e-05, - "0000110101": 0.00054, - "0000111001": 0.0004, - "0000111101": 1e-05, - "0001000011": 3e-05, - "0001000101": 4e-05, + "0000100111": 1e-05, + "0000101011": 0.00017, + "0000101101": 0.00038, + "0000101110": 2e-05, + "0000110011": 0.00033, + "0000110101": 0.00075, + "0000111001": 0.00049, + "0000111011": 1e-05, + "0000111101": 3e-05, + "0001000011": 2e-05, + "0001000101": 2e-05, "0001000111": 2e-05, - "0001001001": 4e-05, - "0001001011": 0.00033, - "0001001101": 0.00051, - "0001010011": 0.00041, - "0001010101": 0.00079, - "0001011001": 0.0007, - "0001011010": 2e-05, - "0001011101": 2e-05, - "0001100011": 0.00021, - "0001100101": 0.00043, - "0001101001": 0.0003, - "0001101011": 0.0003, - "0001101101": 0.00037, - "0001101110": 2e-05, - "0001110001": 0.0001, - "0001110011": 0.00031, - "0001110101": 0.00098, - "0001110110": 1e-05, - "0001111001": 0.00064, - "0001111011": 1e-05, - "0001111101": 2e-05, - "0010001011": 3e-05, - "0010001101": 7e-05, - "0010010011": 7e-05, - "0010010101": 8e-05, - "0010011001": 0.00012, - "0010011011": 0.0002, - "0010011101": 0.00051, + "0001001001": 7e-05, + "0001001011": 0.00027, + "0001001101": 0.00063, + "0001010001": 1e-05, + "0001010011": 0.0004, + "0001010101": 0.00101, + "0001010110": 1e-05, + "0001011001": 0.00055, + "0001011010": 1e-05, + "0001011011": 1e-05, + "0001100001": 1e-05, + "0001100011": 0.0002, + "0001100101": 0.00051, + "0001101001": 0.00028, + "0001101010": 2e-05, + "0001101011": 0.00014, + "0001101101": 0.0006, + "0001110001": 5e-05, + "0001110011": 0.00028, + "0001110101": 0.00076, + "0001111001": 0.00065, + "0001111010": 1e-05, + "0001111011": 2e-05, + "0001111101": 3e-05, + "0010001011": 1e-05, + "0010001101": 9e-05, + "0010010011": 3e-05, + "0010010101": 9e-05, + "0010011001": 4e-05, + "0010011011": 0.00013, + "0010011101": 0.00032, "0010011110": 1e-05, - "0010100011": 0.00024, - "0010100100": 1e-05, - "0010100101": 0.00052, - "0010100111": 0.00023, - "0010101001": 0.00116, - "0010101011": 0.00694, - "0010101101": 0.01506, - "0010101110": 0.00018, - "0010101111": 1e-05, - "0010110001": 0.00031, - "0010110011": 0.00979, - "0010110100": 2e-05, - "0010110101": 0.02495, - "0010110110": 0.00016, - "0010110111": 1e-05, - "0010111001": 0.01858, - "0010111010": 0.00022, - "0010111011": 0.00032, - "0010111100": 2e-05, - "0010111101": 0.00079, - "0010111110": 3e-05, - "0011000001": 4e-05, - "0011000011": 0.00034, - "0011000101": 0.0008, - "0011000110": 1e-05, - "0011000111": 0.0004, - "0011001001": 0.00195, - "0011001010": 1e-05, - "0011001011": 0.01157, - "0011001100": 2e-05, - "0011001101": 0.02348, - "0011001110": 0.00032, - "0011001111": 2e-05, - "0011010001": 0.00053, - "0011010010": 1e-05, - "0011010011": 0.01266, - "0011010101": 0.03725, - "0011010110": 0.00039, + "0010100001": 1e-05, + "0010100011": 0.00025, + "0010100101": 0.00046, + "0010100110": 2e-05, + "0010100111": 0.00019, + "0010101001": 0.00124, + "0010101011": 0.00715, + "0010101101": 0.01588, + "0010101110": 0.00025, + "0010101111": 4e-05, + "0010110001": 0.0003, + "0010110011": 0.00943, + "0010110100": 1e-05, + "0010110101": 0.02572, + "0010110110": 0.00035, + "0010110111": 5e-05, + "0010111001": 0.01838, + "0010111010": 0.00027, + "0010111011": 0.00052, + "0010111100": 1e-05, + "0010111101": 0.00077, + "0010111110": 6e-05, + "0011000011": 0.0003, + "0011000101": 0.00077, + "0011000111": 0.00053, + "0011001001": 0.00216, + "0011001011": 0.01077, + "0011001101": 0.02277, + "0011001110": 0.00039, + "0011001111": 1e-05, + "0011010001": 0.00045, + "0011010011": 0.01338, + "0011010101": 0.03696, + "0011010110": 0.00049, "0011010111": 9e-05, - "0011011001": 0.02274, - "0011011010": 0.00035, - "0011011011": 0.00059, - "0011011100": 1e-05, - "0011011101": 0.00146, - "0011011110": 2e-05, - "0011100001": 0.00045, - "0011100011": 0.01279, - "0011100100": 2e-05, - "0011100101": 0.02824, - "0011100110": 0.00042, - "0011100111": 3e-05, - "0011101000": 1e-05, - "0011101001": 0.01878, - "0011101010": 0.00025, - "0011101011": 3e-05, + "0011011000": 2e-05, + "0011011001": 0.02326, + "0011011010": 0.00038, + "0011011011": 0.00055, + "0011011100": 4e-05, + "0011011101": 0.0015, + "0011100001": 0.00038, + "0011100011": 0.01282, + "0011100101": 0.0287, + "0011100110": 0.00032, + "0011100111": 4e-05, + "0011101001": 0.01952, + "0011101010": 0.00022, + "0011101011": 2e-05, "0011101100": 1e-05, - "0011101101": 1e-05, - "0011110001": 0.00184, - "0011110010": 1e-05, - "0011110011": 0.00054, + "0011110001": 0.00165, + "0011110010": 5e-05, + "0011110011": 0.00047, "0011110100": 1e-05, - "0011110101": 0.00115, - "0011110110": 2e-05, - "0011111001": 0.00049, - "0011111011": 1e-05, - "0100000101": 2e-05, - "0100001001": 9e-05, - "0100001011": 0.00057, - "0100001101": 0.00101, - "0100001110": 2e-05, - "0100010001": 3e-05, - "0100010011": 0.00078, - "0100010101": 0.00201, - "0100010110": 3e-05, - "0100010111": 2e-05, - "0100011001": 0.00179, - "0100011010": 1e-05, - "0100011011": 0.00041, - "0100011100": 1e-05, - "0100011101": 0.00078, - "0100100011": 4e-05, - "0100100101": 1e-05, - "0100100110": 1e-05, - "0100100111": 0.00039, - "0100101001": 0.00065, - "0100101011": 0.01372, - "0100101100": 1e-05, - "0100101101": 0.03031, - "0100101110": 0.00051, - "0100101111": 2e-05, - "0100110001": 0.00082, - "0100110011": 0.0173, - "0100110100": 1e-05, - "0100110101": 0.04229, - "0100110110": 0.00049, - "0100110111": 4e-05, - "0100111001": 0.03309, - "0100111010": 0.00048, - "0100111011": 0.00072, - "0100111100": 3e-05, - "0100111101": 0.00155, + "0011110101": 0.00083, + "0011111001": 0.00061, + "0011111010": 2e-05, + "0011111101": 2e-05, + "0100000011": 1e-05, + "0100000101": 4e-05, + "0100001001": 7e-05, + "0100001011": 0.00038, + "0100001101": 0.001, + "0100010001": 2e-05, + "0100010011": 0.00074, + "0100010101": 0.00205, + "0100010111": 1e-05, + "0100011001": 0.00182, + "0100011010": 5e-05, + "0100011011": 0.0004, + "0100011101": 0.00072, + "0100100011": 1e-05, + "0100100101": 3e-05, + "0100100111": 0.00041, + "0100101001": 0.00069, + "0100101011": 0.01325, + "0100101100": 2e-05, + "0100101101": 0.02978, + "0100101110": 0.00034, + "0100101111": 5e-05, + "0100110001": 0.00077, + "0100110011": 0.01534, + "0100110101": 0.04233, + "0100110110": 0.00059, + "0100110111": 7e-05, + "0100111000": 2e-05, + "0100111001": 0.0328, + "0100111010": 0.00043, + "0100111011": 0.00075, + "0100111100": 4e-05, + "0100111101": 0.00141, "0100111110": 2e-05, - "0101000001": 4e-05, - "0101000011": 0.00077, - "0101000101": 0.00139, - "0101000110": 3e-05, - "0101000111": 0.00074, - "0101001001": 0.004, - "0101001010": 2e-05, - "0101001011": 0.01903, - "0101001100": 2e-05, - "0101001101": 0.03832, + "0100111111": 1e-05, + "0101000001": 7e-05, + "0101000011": 0.00087, + "0101000101": 0.00164, + "0101000110": 4e-05, + "0101000111": 0.00067, + "0101001001": 0.00424, + "0101001010": 4e-05, + "0101001011": 0.01893, + "0101001101": 0.03707, "0101001110": 0.0005, - "0101001111": 2e-05, - "0101010001": 0.00089, - "0101010010": 1e-05, - "0101010011": 0.02431, - "0101010100": 1e-05, - "0101010101": 0.06835, - "0101010110": 0.00067, - "0101010111": 0.0001, - "0101011000": 1e-05, - "0101011001": 0.04186, - "0101011010": 0.00054, - "0101011011": 0.00107, - "0101011100": 1e-05, - "0101011101": 0.00218, + "0101001111": 7e-05, + "0101010001": 0.00083, + "0101010011": 0.02443, + "0101010100": 2e-05, + "0101010101": 0.0674, + "0101010110": 0.00068, + "0101010111": 9e-05, + "0101011000": 2e-05, + "0101011001": 0.04338, + "0101011010": 0.00079, + "0101011011": 0.00118, + "0101011100": 2e-05, + "0101011101": 0.00267, "0101011110": 4e-05, - "0101011111": 1e-05, - "0101100001": 0.00044, - "0101100011": 0.01913, - "0101100100": 1e-05, - "0101100101": 0.04314, - "0101100110": 0.00061, - "0101101000": 2e-05, - "0101101001": 0.02979, - "0101101010": 0.00039, + "0101100001": 0.00071, + "0101100011": 0.0197, + "0101100101": 0.04301, + "0101100110": 0.00052, + "0101100111": 4e-05, + "0101101000": 1e-05, + "0101101001": 0.02922, + "0101101010": 0.00048, "0101101011": 3e-05, - "0101101100": 3e-05, + "0101101100": 1e-05, + "0101101101": 2e-05, + "0101110000": 1e-05, "0101110001": 0.00239, - "0101110010": 2e-05, - "0101110011": 0.00078, + "0101110010": 3e-05, + "0101110011": 0.00075, "0101110100": 1e-05, - "0101110101": 0.00181, - "0101110110": 3e-05, - "0101111001": 0.00122, - "0101111010": 2e-05, - "0101111011": 1e-05, - "0101111100": 1e-05, - "0101111101": 7e-05, - "0110000001": 6e-05, - "0110000011": 0.00061, - "0110000101": 0.00146, - "0110000110": 2e-05, - "0110000111": 0.00058, - "0110001001": 0.00339, - "0110001010": 6e-05, - "0110001011": 0.01837, - "0110001100": 1e-05, - "0110001101": 0.03727, - "0110001110": 0.00066, - "0110001111": 5e-05, - "0110010001": 0.00057, - "0110010010": 3e-05, - "0110010011": 0.0188, + "0101110101": 0.00179, + "0101110110": 2e-05, + "0101111001": 0.00106, + "0101111010": 1e-05, + "0101111011": 2e-05, + "0101111101": 3e-05, + "0110000001": 4e-05, + "0110000011": 0.00069, + "0110000101": 0.00136, + "0110000110": 1e-05, + "0110000111": 0.00065, + "0110001001": 0.00391, + "0110001010": 4e-05, + "0110001011": 0.01864, + "0110001100": 3e-05, + "0110001101": 0.03786, + "0110001110": 0.00051, + "0110001111": 4e-05, + "0110010001": 0.0007, + "0110010011": 0.01833, "0110010100": 2e-05, - "0110010101": 0.05301, - "0110010110": 0.00079, - "0110010111": 2e-05, - "0110011001": 0.03774, - "0110011010": 0.00051, - "0110011011": 0.00127, - "0110011100": 6e-05, - "0110011101": 0.00206, + "0110010101": 0.05285, + "0110010110": 0.00072, + "0110010111": 4e-05, + "0110011000": 2e-05, + "0110011001": 0.03727, + "0110011010": 0.00063, + "0110011011": 0.00101, + "0110011100": 2e-05, + "0110011101": 0.00241, "0110011110": 3e-05, - "0110100001": 0.00043, - "0110100011": 0.01468, - "0110100100": 3e-05, - "0110100101": 0.03541, - "0110100110": 0.00031, - "0110100111": 4e-05, - "0110101001": 0.02155, - "0110101010": 0.00032, - "0110101011": 9e-05, + "0110100001": 0.00053, + "0110100011": 0.015, + "0110100100": 1e-05, + "0110100101": 0.03473, + "0110100110": 0.00054, + "0110100111": 3e-05, + "0110101001": 0.02144, + "0110101010": 0.00037, + "0110101011": 8e-05, "0110101100": 3e-05, - "0110101101": 0.00013, - "0110101110": 1e-05, - "0110110001": 0.00185, - "0110110010": 2e-05, - "0110110011": 0.00085, - "0110110101": 0.00187, - "0110110110": 4e-05, - "0110111001": 0.00107, - "0110111010": 2e-05, + "0110101101": 0.00016, + "0110110001": 0.00212, + "0110110011": 0.0008, + "0110110101": 0.00174, + "0110110110": 2e-05, + "0110110111": 1e-05, + "0110111001": 0.00117, + "0110111010": 3e-05, "0110111011": 1e-05, - "0110111101": 3e-05, - "0111000001": 4e-05, - "0111000011": 0.00117, - "0111000101": 0.00282, - "0111000110": 3e-05, - "0111001001": 0.00158, + "0110111101": 4e-05, + "0111000001": 8e-05, + "0111000011": 0.00129, + "0111000101": 0.0027, + "0111000110": 5e-05, + "0111001001": 0.00181, "0111001010": 2e-05, - "0111001101": 2e-05, - "0111010001": 0.00024, - "0111010011": 4e-05, - "0111010101": 9e-05, - "0111011001": 7e-05, - "0111100101": 1e-05, - "1000001011": 1e-05, - "1000001101": 1e-05, - "1000010101": 4e-05, - "1000011001": 6e-05, - "1000011101": 3e-05, + "0111001011": 3e-05, + "0111001101": 1e-05, + "0111010001": 0.00025, + "0111010011": 3e-05, + "0111010101": 7e-05, + "0111011001": 9e-05, + "0111011101": 1e-05, + "0111100101": 2e-05, + "0111101001": 1e-05, + "1000001101": 2e-05, + "1000010011": 2e-05, + "1000010101": 3e-05, + "1000011001": 2e-05, + "1000011011": 1e-05, "1000100111": 1e-05, - "1000101011": 0.00024, - "1000101101": 0.00058, - "1000101110": 2e-05, + "1000101001": 3e-05, + "1000101011": 0.00022, + "1000101101": 0.00055, + "1000101110": 1e-05, "1000110001": 1e-05, - "1000110011": 0.00038, - "1000110101": 0.0009, + "1000110011": 0.00032, + "1000110101": 0.00102, "1000110110": 1e-05, - "1000111001": 0.00078, + "1000111001": 0.00055, "1000111011": 1e-05, - "1000111101": 4e-05, + "1000111101": 2e-05, "1001000011": 1e-05, - "1001000101": 7e-05, - "1001000111": 2e-05, - "1001001001": 7e-05, - "1001001011": 0.00037, - "1001001101": 0.00072, + "1001000101": 3e-05, + "1001001001": 8e-05, + "1001001011": 0.0003, + "1001001101": 0.00065, "1001001110": 1e-05, - "1001010001": 3e-05, - "1001010011": 0.00041, - "1001010101": 0.00115, - "1001011001": 0.00087, - "1001011010": 1e-05, - "1001011011": 3e-05, - "1001011101": 7e-05, - "1001011110": 1e-05, - "1001100011": 0.00047, - "1001100101": 0.00083, + "1001010001": 1e-05, + "1001010011": 0.00045, + "1001010100": 1e-05, + "1001010101": 0.00128, + "1001010110": 1e-05, + "1001011001": 0.00081, + "1001011010": 2e-05, + "1001011011": 2e-05, + "1001011101": 5e-05, + "1001100001": 1e-05, + "1001100011": 0.00039, + "1001100101": 0.00089, "1001100110": 1e-05, - "1001101001": 0.00062, - "1001101010": 1e-05, - "1001110001": 5e-05, - "1001110011": 3e-05, - "1001110101": 1e-05, - "1001110110": 1e-05, - "1001111001": 2e-05, - "1010001001": 7e-05, - "1010001011": 0.00019, - "1010001101": 0.00047, - "1010010001": 1e-05, - "1010010011": 0.00034, - "1010010101": 0.0008, - "1010010110": 1e-05, - "1010011001": 0.00056, - "1010011010": 2e-05, - "1010011011": 1e-05, - "1010011101": 4e-05, - "1010100001": 2e-05, + "1001101001": 0.00067, + "1001110001": 6e-05, + "1001110011": 1e-05, + "1001110101": 2e-05, + "1001111001": 4e-05, + "1010000101": 1e-05, + "1010000111": 2e-05, + "1010001001": 3e-05, + "1010001011": 0.0003, + "1010001101": 0.00049, + "1010001110": 1e-05, + "1010001111": 1e-05, + "1010010011": 0.00032, + "1010010101": 0.00087, + "1010011001": 0.00047, + "1010011101": 3e-05, + "1010100001": 1e-05, "1010100011": 0.00018, - "1010100101": 0.00044, - "1010101001": 0.00028, + "1010100101": 0.0005, + "1010101001": 0.00033, "1010101010": 1e-05, - "1010101101": 2e-05, + "1010101011": 1e-05, + "1010101101": 4e-05, "1010110001": 2e-05, - "1010110011": 2e-05, - "1010110101": 2e-05, - "1010111001": 9e-05, - "1011000001": 1e-05, - "1011000011": 4e-05, - "1011000101": 3e-05, + "1010110011": 4e-05, + "1010110101": 6e-05, + "1010111001": 4e-05, + "1011000011": 1e-05, + "1011000101": 6e-05, "1011001001": 2e-05, - "1011001101": 3e-05, + "1011010011": 1e-05, "1011010101": 2e-05, - "1011011001": 1e-05, - "1011100101": 2e-05, - "1011101001": 6e-05, - "1100001011": 1e-05, - "1100001101": 6e-05, - "1100010011": 1e-05, - "1100010101": 5e-05, - "1100011001": 5e-05, - "1100100011": 2e-05, + "1011011001": 2e-05, + "1011100101": 3e-05, + "1011101001": 1e-05, + "1100000101": 1e-05, + "1100001101": 2e-05, + "1100010011": 4e-05, + "1100010101": 7e-05, + "1100010110": 1e-05, + "1100011000": 1e-05, + "1100011001": 4e-05, + "1100011011": 1e-05, + "1100100101": 2e-05, "1100101001": 1e-05, - "1100101011": 3e-05, - "1100110011": 1e-05, - "1100110101": 3e-05, - "1101001011": 1e-05, - "1101001101": 4e-05, - "1101010011": 3e-05, - "1101010100": 1e-05, - "1101010101": 2e-05, - "1101011001": 3e-05, - "1101100101": 2e-05, - "1101101001": 2e-05, - "1101110001": 1e-05, - "1101110011": 1e-05, - "1101110101": 1e-05, - "1110001011": 1e-05, + "1100101101": 2e-05, + "1100110101": 2e-05, + "1100111001": 1e-05, + "1101000011": 1e-05, + "1101001001": 1e-05, + "1101001101": 3e-05, + "1101010101": 4e-05, + "1101011001": 4e-05, + "1101100101": 4e-05, + "1101101001": 1e-05, + "1110001011": 4e-05, "1110001101": 4e-05, - "1110010011": 2e-05, - "1110010101": 4e-05, - "1110011001": 5e-05, - "1110100011": 1e-05, - "1110100101": 1e-05 + "1110001110": 1e-05, + "1110010011": 4e-05, + "1110010101": 3e-05, + "1110010111": 1e-05, + "1110100101": 2e-05, + "1110110101": 1e-05, + "1111000101": 1e-05 }, "Heisenberg - Qubits11": { - "00001110011": 1e-05, - "00010101011": 1e-05, + "00001111001": 2e-05, "00010110101": 1e-05, + "00010111001": 1e-05, "00011001011": 1e-05, "00011001101": 1e-05, - "00011011001": 1e-05, - "00011100101": 1e-05, - "00011110001": 1e-05, - "00100101011": 3e-05, - "00100110101": 2e-05, - "00100111001": 2e-05, - "00101000101": 1e-05, - "00101001101": 1e-05, - "00101010101": 2e-05, + "00011010101": 1e-05, + "00011100011": 1e-05, + "00011100101": 4e-05, + "00011101001": 1e-05, + "00100101011": 1e-05, + "00100101101": 3e-05, + "00100110011": 1e-05, + "00100111001": 1e-05, + "00100111011": 1e-05, + "00101001011": 2e-05, + "00101001101": 3e-05, + "00101010101": 1e-05, "00101011001": 1e-05, - "00101100101": 1e-05, - "00101101001": 1e-05, - "00110001001": 1e-05, + "00101100101": 2e-05, + "00101101001": 2e-05, "00110001011": 1e-05, + "00110001101": 1e-05, "00110010101": 1e-05, - "00110011001": 2e-05, - "00110100011": 2e-05, - "00110100101": 1e-05, - "00110101101": 1e-05, - "00111001101": 2e-05, - "00111011001": 1e-05, - "00111100011": 2e-05, - "00111101001": 1e-05, - "01000011101": 1e-05, - "01000101011": 3e-05, - "01000101101": 2e-05, - "01000110011": 2e-05, - "01000110101": 7e-05, - "01000111001": 3e-05, - "01001001011": 2e-05, - "01001001101": 4e-05, - "01001010011": 1e-05, - "01001010101": 7e-05, - "01001011001": 3e-05, - "01001100011": 1e-05, + "00110011001": 1e-05, + "00110100101": 2e-05, + "00110100111": 1e-05, + "00110101001": 1e-05, + "00110110101": 1e-05, + "00110111001": 2e-05, + "00111001011": 1e-05, + "00111001101": 3e-05, + "00111010101": 1e-05, + "00111100011": 1e-05, + "00111100101": 1e-05, + "01000101101": 3e-05, + "01000110101": 3e-05, + "01000111001": 1e-05, + "01001001001": 1e-05, + "01001001011": 4e-05, + "01001001101": 5e-05, + "01001010011": 4e-05, + "01001010101": 5e-05, + "01001010110": 1e-05, + "01001011001": 4e-05, "01001100101": 5e-05, + "01001101001": 7e-05, + "01001101101": 1e-05, "01001110011": 1e-05, "01001110101": 1e-05, - "01001111001": 1e-05, - "01010001101": 1e-05, - "01010010011": 1e-05, - "01010010101": 2e-05, - "01010011101": 1e-05, - "01010100011": 2e-05, - "01010100101": 3e-05, - "01010100111": 1e-05, - "01010101001": 5e-05, - "01010101011": 5e-05, - "01010101101": 0.00015, + "01010001011": 2e-05, + "01010001101": 2e-05, + "01010011001": 1e-05, + "01010100011": 3e-05, + "01010100101": 1e-05, + "01010101001": 4e-05, + "01010101011": 8e-05, + "01010101101": 0.00024, "01010101110": 1e-05, - "01010110011": 0.00013, - "01010110101": 0.00029, - "01010111001": 0.00025, + "01010110011": 0.00016, + "01010110101": 0.00032, + "01010110110": 1e-05, + "01010110111": 1e-05, + "01010111001": 0.00022, "01010111101": 2e-05, - "01011000101": 1e-05, - "01011000111": 1e-05, - "01011001001": 1e-05, - "01011001011": 0.00015, - "01011001101": 0.0003, - "01011010011": 0.00024, - "01011010101": 0.00035, + "01011001001": 3e-05, + "01011001011": 0.00019, + "01011001101": 0.00028, + "01011010011": 0.00023, + "01011010101": 0.00058, "01011010110": 1e-05, - "01011011001": 0.00034, - "01011011101": 1e-05, - "01011100001": 2e-05, - "01011100011": 0.0002, - "01011100101": 0.0004, - "01011101001": 0.0002, - "01011101010": 1e-05, - "01011110001": 1e-05, - "01011110101": 1e-05, + "01011011001": 0.00026, + "01011011011": 1e-05, + "01011011101": 3e-05, + "01011100001": 1e-05, + "01011100011": 0.00015, + "01011100101": 0.00041, + "01011100111": 1e-05, + "01011101001": 0.0003, + "01011101010": 2e-05, + "01011110001": 2e-05, "01011111001": 1e-05, "01100001011": 1e-05, - "01100001101": 2e-05, - "01100010101": 4e-05, - "01100011001": 2e-05, - "01100101011": 0.00014, - "01100101101": 0.00039, - "01100110001": 1e-05, - "01100110011": 0.0002, - "01100110100": 1e-05, - "01100110101": 0.00053, - "01100111001": 0.00034, - "01101000011": 2e-05, - "01101000101": 2e-05, - "01101001001": 2e-05, - "01101001011": 0.00016, - "01101001101": 0.00042, - "01101010001": 2e-05, - "01101010011": 0.00036, - "01101010101": 0.00074, + "01100001101": 1e-05, + "01100010011": 2e-05, + "01100010101": 3e-05, + "01100011001": 3e-05, + "01100011101": 3e-05, + "01100100101": 1e-05, + "01100100111": 2e-05, + "01100101001": 2e-05, + "01100101011": 0.00015, + "01100101101": 0.00035, + "01100101110": 1e-05, + "01100110011": 0.00017, + "01100110101": 0.00052, + "01100110110": 1e-05, + "01100111001": 0.00042, + "01100111011": 5e-05, + "01100111101": 1e-05, + "01101000011": 3e-05, + "01101000101": 3e-05, + "01101001001": 5e-05, + "01101001011": 0.00017, + "01101001101": 0.00029, + "01101001110": 1e-05, + "01101010001": 1e-05, + "01101010011": 0.00034, + "01101010101": 0.00065, "01101010110": 1e-05, - "01101011001": 0.00042, - "01101011010": 1e-05, - "01101011011": 2e-05, - "01101011101": 2e-05, + "01101011001": 0.00034, + "01101011010": 2e-05, + "01101011011": 3e-05, + "01101011101": 1e-05, "01101100001": 1e-05, - "01101100011": 0.00034, - "01101100101": 0.00042, + "01101100011": 0.00019, + "01101100101": 0.00056, "01101100110": 1e-05, - "01101101001": 0.00041, + "01101101001": 0.00032, "01101110001": 3e-05, - "01101110011": 1e-05, - "01101110101": 2e-05, - "01110000011": 3e-05, - "01110000101": 3e-05, - "01110000111": 1e-05, - "01110001001": 3e-05, - "01110001011": 0.00026, - "01110001101": 0.00049, + "01101110101": 1e-05, + "01101111001": 2e-05, + "01101111010": 1e-05, + "01110000101": 2e-05, + "01110001001": 2e-05, + "01110001011": 0.00018, + "01110001101": 0.00048, "01110010001": 1e-05, - "01110010011": 0.0003, - "01110010101": 0.00062, - "01110010110": 1e-05, - "01110011001": 0.0003, - "01110011011": 1e-05, - "01110011101": 1e-05, - "01110100011": 0.00016, - "01110100101": 0.00037, + "01110010011": 0.00023, + "01110010101": 0.00066, + "01110010110": 2e-05, + "01110011001": 0.00041, + "01110011101": 2e-05, + "01110100011": 0.00012, + "01110100101": 0.00047, "01110100110": 1e-05, - "01110101000": 1e-05, - "01110101001": 0.00019, - "01110110001": 6e-05, - "01110110011": 1e-05, - "01110110101": 1e-05, - "01110111001": 4e-05, - "01111000011": 3e-05, - "01111000101": 6e-05, + "01110101001": 0.00023, + "01110110101": 2e-05, + "01110111001": 2e-05, + "01111000101": 1e-05, "01111001001": 2e-05, - "01111100101": 1e-05, - "10000001101": 1e-05, - "10000010011": 2e-05, - "10000010101": 4e-05, - "10000011101": 2e-05, - "10000101001": 1e-05, - "10000101011": 9e-05, - "10000101101": 0.00026, + "10000010011": 1e-05, + "10000010101": 3e-05, + "10000011011": 1e-05, + "10000101011": 8e-05, + "10000101101": 0.00032, "10000101110": 1e-05, - "10000110001": 1e-05, - "10000110011": 0.00013, - "10000110101": 0.00041, - "10000110110": 2e-05, - "10000111001": 0.00039, - "10000111101": 3e-05, - "10001000011": 2e-05, - "10001001001": 3e-05, - "10001001011": 0.00026, - "10001001101": 0.00043, - "10001001110": 1e-05, - "10001010011": 0.00031, - "10001010101": 0.00076, - "10001010110": 2e-05, - "10001011001": 0.00071, - "10001011011": 1e-05, - "10001011101": 6e-05, - "10001100001": 1e-05, - "10001100011": 0.0002, - "10001100101": 0.00042, - "10001101001": 0.00019, - "10001101010": 1e-05, - "10001101011": 0.00012, - "10001101101": 0.00049, - "10001101110": 1e-05, - "10001110001": 5e-05, - "10001110011": 0.00029, - "10001110101": 0.00076, - "10001110110": 1e-05, - "10001111001": 0.00066, - "10001111010": 1e-05, + "10000110011": 0.00021, + "10000110101": 0.00059, + "10000110110": 3e-05, + "10000111001": 0.00031, + "10000111010": 1e-05, + "10000111011": 3e-05, + "10000111101": 4e-05, + "10001000011": 1e-05, + "10001000101": 2e-05, + "10001001001": 4e-05, + "10001001011": 0.00027, + "10001001101": 0.00033, + "10001010001": 2e-05, + "10001010011": 0.00035, + "10001010101": 0.00101, + "10001010110": 1e-05, + "10001011001": 0.0005, + "10001011011": 2e-05, + "10001011101": 4e-05, + "10001100011": 0.00016, + "10001100101": 0.00029, + "10001100111": 1e-05, + "10001101001": 0.00021, + "10001101011": 0.0002, + "10001101101": 0.00048, + "10001101110": 4e-05, + "10001110001": 6e-05, + "10001110011": 0.00036, + "10001110101": 0.00098, + "10001110110": 2e-05, + "10001111001": 0.00067, + "10001111010": 2e-05, + "10001111011": 1e-05, "10001111101": 2e-05, - "10010000011": 2e-05, - "10010001001": 2e-05, + "10010000101": 1e-05, + "10010001001": 1e-05, "10010001011": 0.00011, - "10010001101": 0.00024, - "10010001110": 1e-05, - "10010010011": 0.00018, - "10010010101": 0.00047, - "10010010111": 2e-05, - "10010011001": 0.00033, - "10010011011": 9e-05, - "10010011101": 0.00022, - "10010011110": 2e-05, - "10010100011": 0.00029, - "10010100100": 1e-05, - "10010100101": 0.00032, - "10010100111": 0.00028, - "10010101001": 0.00109, + "10010001101": 0.00019, + "10010001111": 1e-05, + "10010010011": 0.00013, + "10010010101": 0.00021, + "10010010110": 2e-05, + "10010010111": 1e-05, + "10010011001": 0.00027, + "10010011011": 0.00011, + "10010011101": 0.00025, + "10010100011": 0.00024, + "10010100101": 0.0004, + "10010100110": 1e-05, + "10010100111": 0.00019, + "10010101001": 0.00104, "10010101010": 1e-05, - "10010101011": 0.00593, - "10010101101": 0.01299, - "10010101110": 0.00019, - "10010110001": 0.00033, - "10010110010": 1e-05, - "10010110011": 0.008, - "10010110100": 1e-05, - "10010110101": 0.0203, - "10010110110": 0.00022, - "10010110111": 2e-05, - "10010111000": 1e-05, - "10010111001": 0.01441, - "10010111010": 0.0002, - "10010111011": 0.0002, - "10010111101": 0.00055, - "10010111110": 1e-05, - "10011000011": 0.00029, - "10011000101": 0.00046, - "10011000111": 0.00032, - "10011001001": 0.00184, - "10011001011": 0.00922, - "10011001101": 0.01831, - "10011001110": 0.0002, - "10011001111": 2e-05, - "10011010001": 0.00043, - "10011010011": 0.01079, - "10011010100": 1e-05, - "10011010101": 0.03014, - "10011010110": 0.00028, - "10011010111": 4e-05, - "10011011001": 0.01998, - "10011011010": 0.00022, - "10011011011": 0.00045, - "10011011101": 0.00144, - "10011011110": 1e-05, - "10011100001": 0.00028, - "10011100011": 0.01081, - "10011100101": 0.02192, - "10011100110": 0.00036, + "10010101011": 0.00586, + "10010101100": 2e-05, + "10010101101": 0.01282, + "10010101110": 0.00023, + "10010101111": 2e-05, + "10010110001": 0.0002, + "10010110011": 0.00861, + "10010110101": 0.01948, + "10010110110": 0.00021, + "10010110111": 4e-05, + "10010111001": 0.0148, + "10010111010": 0.00027, + "10010111011": 0.00026, + "10010111101": 0.00085, + "10011000001": 1e-05, + "10011000011": 0.00024, + "10011000101": 0.00054, + "10011000111": 0.00033, + "10011001001": 0.00166, + "10011001011": 0.0096, + "10011001100": 1e-05, + "10011001101": 0.0192, + "10011001110": 0.00024, + "10011001111": 1e-05, + "10011010001": 0.00042, + "10011010011": 0.0105, + "10011010100": 2e-05, + "10011010101": 0.02908, + "10011010110": 0.00031, + "10011010111": 3e-05, + "10011011001": 0.02006, + "10011011010": 0.00029, + "10011011011": 0.0005, + "10011011100": 2e-05, + "10011011101": 0.00132, + "10011011110": 2e-05, + "10011100001": 0.00032, + "10011100011": 0.01033, + "10011100100": 1e-05, + "10011100101": 0.02294, + "10011100110": 0.00028, "10011100111": 3e-05, "10011101001": 0.01528, - "10011101010": 0.00019, - "10011101011": 2e-05, - "10011110001": 0.00137, - "10011110010": 2e-05, - "10011110011": 0.00048, - "10011110101": 0.00087, - "10011111001": 0.00069, - "10011111101": 4e-05, + "10011101010": 0.00027, + "10011101011": 1e-05, + "10011101100": 1e-05, + "10011101101": 1e-05, + "10011110001": 0.00139, + "10011110010": 1e-05, + "10011110011": 0.00029, + "10011110100": 1e-05, + "10011110101": 0.00071, + "10011110110": 1e-05, + "10011111001": 0.00062, + "10011111010": 3e-05, + "10011111011": 3e-05, "10100000011": 1e-05, "10100000101": 3e-05, - "10100000111": 3e-05, "10100001001": 5e-05, - "10100001011": 0.00025, - "10100001101": 0.00043, - "10100010001": 2e-05, - "10100010011": 0.00051, - "10100010101": 0.00129, + "10100001011": 0.00035, + "10100001101": 0.00065, + "10100010001": 1e-05, + "10100010011": 0.00044, + "10100010101": 0.00135, + "10100010110": 1e-05, "10100010111": 2e-05, - "10100011001": 0.00101, - "10100011010": 2e-05, - "10100011011": 0.00018, - "10100011101": 0.00052, - "10100011110": 2e-05, + "10100011001": 0.00092, + "10100011011": 0.00015, + "10100011101": 0.00053, "10100100011": 2e-05, - "10100100101": 4e-05, - "10100100111": 0.00019, - "10100101001": 0.00048, - "10100101010": 1e-05, - "10100101011": 0.00827, - "10100101100": 1e-05, - "10100101101": 0.0191, - "10100101110": 0.00029, - "10100101111": 3e-05, - "10100110001": 0.00042, - "10100110011": 0.01079, - "10100110100": 1e-05, - "10100110101": 0.02657, - "10100110110": 0.00036, + "10100100101": 8e-05, + "10100100111": 0.00022, + "10100101001": 0.0004, + "10100101011": 0.00843, + "10100101100": 2e-05, + "10100101101": 0.01862, + "10100101110": 0.00032, + "10100101111": 2e-05, + "10100110001": 0.00044, + "10100110011": 0.01061, + "10100110101": 0.02595, + "10100110110": 0.00031, "10100110111": 3e-05, - "10100111001": 0.02204, - "10100111010": 0.00044, + "10100111001": 0.02086, + "10100111010": 0.00035, "10100111011": 0.00047, - "10100111100": 1e-05, - "10100111101": 0.00094, - "10100111110": 2e-05, - "10101000001": 1e-05, - "10101000011": 0.00041, + "10100111100": 2e-05, + "10100111101": 0.00111, + "10101000011": 0.00044, "10101000101": 0.00093, - "10101000110": 2e-05, - "10101000111": 0.00043, - "10101001001": 0.00252, - "10101001011": 0.01326, - "10101001100": 3e-05, - "10101001101": 0.02559, + "10101000110": 1e-05, + "10101000111": 0.00047, + "10101001001": 0.00265, + "10101001010": 1e-05, + "10101001011": 0.01249, + "10101001101": 0.02572, "10101001110": 0.00031, - "10101001111": 3e-05, - "10101010001": 0.00066, - "10101010011": 0.01607, - "10101010101": 0.0443, - "10101010110": 0.00059, - "10101010111": 4e-05, - "10101011000": 1e-05, - "10101011001": 0.02815, + "10101001111": 2e-05, + "10101010001": 0.00043, + "10101010011": 0.01582, + "10101010100": 2e-05, + "10101010101": 0.04479, + "10101010110": 0.00049, + "10101010111": 2e-05, + "10101011000": 3e-05, + "10101011001": 0.02855, "10101011010": 0.00049, - "10101011011": 0.00065, - "10101011100": 3e-05, - "10101011101": 0.00188, - "10101011110": 1e-05, - "10101100001": 0.00048, - "10101100011": 0.0125, - "10101100100": 2e-05, - "10101100101": 0.02737, - "10101100110": 0.00037, - "10101100111": 6e-05, - "10101101000": 2e-05, - "10101101001": 0.01948, - "10101101010": 0.00028, - "10101101011": 3e-05, - "10101101100": 3e-05, + "10101011011": 0.00066, + "10101011100": 1e-05, + "10101011101": 0.00179, + "10101011110": 2e-05, + "10101100001": 0.00045, + "10101100011": 0.01225, + "10101100101": 0.0286, + "10101100110": 0.00036, + "10101100111": 5e-05, + "10101101001": 0.0187, + "10101101010": 0.0003, + "10101101011": 1e-05, + "10101101100": 2e-05, "10101101101": 1e-05, - "10101110001": 0.00154, - "10101110011": 0.00054, - "10101110101": 0.00111, - "10101110110": 3e-05, - "10101111001": 0.00082, - "10101111010": 2e-05, - "10101111011": 1e-05, - "10101111101": 2e-05, - "10110000001": 2e-05, - "10110000011": 0.0005, - "10110000101": 0.00097, - "10110000110": 2e-05, - "10110000111": 0.00032, - "10110001001": 0.00211, - "10110001010": 3e-05, - "10110001011": 0.01181, - "10110001101": 0.0231, - "10110001110": 0.0003, - "10110001111": 2e-05, - "10110010001": 0.00046, - "10110010011": 0.01259, - "10110010101": 0.03421, - "10110010110": 0.00043, - "10110010111": 7e-05, - "10110011001": 0.02321, - "10110011010": 0.00038, - "10110011011": 0.00076, - "10110011100": 4e-05, - "10110011101": 0.00128, - "10110011110": 2e-05, - "10110100001": 0.00027, - "10110100011": 0.01004, - "10110100101": 0.02258, - "10110100110": 0.00023, - "10110100111": 4e-05, - "10110101000": 1e-05, - "10110101001": 0.01323, - "10110101010": 0.00024, - "10110101011": 9e-05, - "10110101100": 1e-05, + "10101110001": 0.00158, + "10101110010": 3e-05, + "10101110011": 0.00047, + "10101110101": 0.00097, + "10101110110": 4e-05, + "10101110111": 1e-05, + "10101111001": 0.00076, + "10101111011": 4e-05, + "10101111101": 5e-05, + "10110000001": 3e-05, + "10110000011": 0.0004, + "10110000101": 0.00081, + "10110000110": 3e-05, + "10110000111": 0.00037, + "10110001001": 0.00233, + "10110001010": 1e-05, + "10110001011": 0.0117, + "10110001100": 1e-05, + "10110001101": 0.02382, + "10110001110": 0.00039, + "10110001111": 4e-05, + "10110010001": 0.00039, + "10110010011": 0.01185, + "10110010101": 0.0345, + "10110010110": 0.00039, + "10110010111": 0.0001, + "10110011000": 1e-05, + "10110011001": 0.02387, + "10110011010": 0.00027, + "10110011011": 0.00059, + "10110011100": 2e-05, + "10110011101": 0.00112, + "10110011110": 3e-05, + "10110100001": 0.00033, + "10110100011": 0.00951, + "10110100101": 0.02191, + "10110100110": 0.00027, + "10110100111": 1e-05, + "10110101001": 0.01379, + "10110101010": 0.00014, + "10110101011": 4e-05, + "10110101100": 2e-05, "10110101101": 8e-05, - "10110110001": 0.00138, - "10110110010": 2e-05, - "10110110011": 0.00032, + "10110110001": 0.00114, + "10110110010": 3e-05, + "10110110011": 0.00045, "10110110101": 0.00095, - "10110111001": 0.00059, - "10110111011": 1e-05, - "10111000001": 4e-05, - "10111000011": 0.00069, - "10111000101": 0.00179, - "10111001001": 0.00094, - "10111001010": 4e-05, + "10110111001": 0.00079, + "10110111010": 1e-05, + "10110111011": 3e-05, + "10111000001": 7e-05, + "10111000011": 0.0008, + "10111000101": 0.00215, + "10111000110": 3e-05, + "10111000111": 1e-05, + "10111001001": 0.00138, "10111001101": 1e-05, - "10111010001": 0.00017, + "10111010001": 0.00012, "10111010010": 1e-05, - "10111010011": 3e-05, - "10111010101": 0.00013, - "10111010110": 1e-05, - "10111011001": 0.00015, - "10111100101": 3e-05, - "10111101001": 1e-05, - "10111110101": 1e-05, - "10111111001": 1e-05, - "11000000011": 1e-05, + "10111010011": 2e-05, + "10111010101": 0.00011, + "10111011001": 8e-05, + "10111100011": 5e-05, + "10111100101": 6e-05, + "10111101001": 3e-05, "11000000101": 1e-05, + "11000000111": 1e-05, "11000001001": 5e-05, - "11000001011": 0.0001, - "11000001101": 0.00043, - "11000010011": 0.00025, - "11000010101": 0.00074, - "11000010110": 2e-05, - "11000010111": 2e-05, - "11000011001": 0.00057, - "11000011011": 0.00019, - "11000011101": 0.00029, - "11000011110": 2e-05, - "11000100011": 1e-05, - "11000100101": 3e-05, - "11000100111": 0.00014, - "11000101001": 0.00039, - "11000101011": 0.00602, + "11000001011": 0.00011, + "11000001101": 0.00038, + "11000001110": 1e-05, + "11000010011": 0.00021, + "11000010101": 0.00062, + "11000010110": 1e-05, + "11000010111": 1e-05, + "11000011001": 0.00064, + "11000011010": 2e-05, + "11000011011": 0.00018, + "11000011101": 0.00033, + "11000100001": 1e-05, + "11000100101": 4e-05, + "11000100111": 0.00022, + "11000101001": 0.00035, + "11000101011": 0.00556, "11000101100": 1e-05, - "11000101101": 0.01355, - "11000101110": 0.00021, - "11000101111": 2e-05, - "11000110001": 0.00035, - "11000110011": 0.00756, - "11000110100": 2e-05, - "11000110101": 0.01975, - "11000110110": 0.00019, - "11000110111": 3e-05, - "11000111000": 1e-05, - "11000111001": 0.01519, - "11000111010": 0.00027, - "11000111011": 0.00034, - "11000111100": 2e-05, - "11000111101": 0.00059, + "11000101101": 0.0134, + "11000101110": 0.00016, + "11000101111": 1e-05, + "11000110001": 0.00024, + "11000110011": 0.00793, + "11000110100": 3e-05, + "11000110101": 0.01998, + "11000110110": 0.00022, + "11000110111": 5e-05, + "11000111001": 0.01503, + "11000111010": 0.00029, + "11000111011": 0.00036, + "11000111101": 0.00089, "11000111110": 2e-05, - "11001000001": 1e-05, - "11001000011": 0.00039, - "11001000101": 0.00074, - "11001000110": 2e-05, - "11001000111": 0.00026, - "11001001001": 0.00167, - "11001001010": 2e-05, - "11001001011": 0.00822, - "11001001101": 0.01601, - "11001001110": 0.00013, - "11001001111": 1e-05, - "11001010001": 0.00049, - "11001010011": 0.00986, - "11001010100": 2e-05, - "11001010101": 0.02861, - "11001010110": 0.00036, - "11001010111": 4e-05, - "11001011001": 0.0169, - "11001011010": 0.00026, - "11001011011": 0.00031, - "11001011100": 1e-05, - "11001011101": 0.00089, - "11001100001": 0.00025, - "11001100011": 0.00839, - "11001100101": 0.01908, - "11001100110": 0.00028, - "11001100111": 4e-05, - "11001101001": 0.01321, - "11001101010": 0.00014, - "11001101011": 5e-05, + "11001000001": 3e-05, + "11001000011": 0.00028, + "11001000101": 0.00051, + "11001000110": 1e-05, + "11001000111": 0.0002, + "11001001001": 0.00173, + "11001001011": 0.00801, + "11001001100": 1e-05, + "11001001101": 0.01617, + "11001001110": 0.00021, + "11001001111": 5e-05, + "11001010001": 0.00033, + "11001010011": 0.00938, + "11001010101": 0.02798, + "11001010110": 0.0003, + "11001011000": 2e-05, + "11001011001": 0.01703, + "11001011010": 0.0003, + "11001011011": 0.00037, + "11001011100": 2e-05, + "11001011101": 0.00107, + "11001100001": 0.00023, + "11001100011": 0.00859, + "11001100100": 1e-05, + "11001100101": 0.01923, + "11001100110": 0.00029, + "11001100111": 5e-05, + "11001101001": 0.0136, + "11001101010": 0.0002, + "11001101011": 2e-05, "11001101100": 2e-05, - "11001101101": 4e-05, - "11001110001": 0.00113, - "11001110010": 1e-05, - "11001110011": 0.00025, - "11001110101": 0.00057, - "11001110110": 1e-05, - "11001110111": 1e-05, - "11001111001": 0.00042, - "11001111010": 1e-05, - "11001111011": 1e-05, - "11001111101": 1e-05, - "11010000001": 1e-05, - "11010000011": 0.00024, - "11010000101": 0.00045, - "11010000110": 1e-05, - "11010000111": 0.00012, - "11010001000": 1e-05, - "11010001001": 0.00127, - "11010001011": 0.00616, - "11010001100": 1e-05, - "11010001101": 0.01278, - "11010001110": 0.00017, - "11010001111": 4e-05, - "11010010001": 0.00022, - "11010010011": 0.00663, - "11010010101": 0.0182, - "11010010110": 0.00022, - "11010010111": 5e-05, - "11010011001": 0.01209, - "11010011010": 0.00019, - "11010011011": 0.0003, - "11010011100": 2e-05, - "11010011101": 0.00091, - "11010100001": 0.00011, - "11010100011": 0.00479, - "11010100101": 0.01109, - "11010100110": 0.00012, + "11001101101": 2e-05, + "11001110001": 0.00111, + "11001110011": 0.0002, + "11001110101": 0.0006, + "11001110110": 2e-05, + "11001111001": 0.00046, + "11001111101": 7e-05, + "11010000011": 0.0002, + "11010000101": 0.00046, + "11010000110": 2e-05, + "11010000111": 0.00014, + "11010001001": 0.00136, + "11010001010": 1e-05, + "11010001011": 0.00577, + "11010001100": 2e-05, + "11010001101": 0.01232, + "11010001110": 0.00015, + "11010010001": 0.00015, + "11010010011": 0.00684, + "11010010101": 0.01901, + "11010010110": 0.00027, + "11010010111": 2e-05, + "11010011001": 0.01336, + "11010011010": 0.00021, + "11010011011": 0.00041, + "11010011100": 1e-05, + "11010011101": 0.00083, + "11010100001": 0.0002, + "11010100011": 0.0049, + "11010100101": 0.0109, + "11010100110": 0.00014, "11010100111": 1e-05, - "11010101001": 0.00664, + "11010101001": 0.00724, "11010101010": 7e-05, "11010101011": 6e-05, - "11010101101": 0.00022, - "11010110001": 0.00059, + "11010101101": 0.00019, + "11010110001": 0.00069, "11010110010": 1e-05, - "11010110011": 0.00058, - "11010110101": 0.00158, - "11010110110": 2e-05, - "11010111001": 0.00111, - "11010111010": 2e-05, - "11010111011": 3e-05, - "11010111101": 4e-05, - "11011000001": 3e-05, - "11011000011": 0.00045, - "11011000101": 0.00082, - "11011001001": 0.00082, - "11011001010": 1e-05, - "11011001011": 0.00023, - "11011001101": 0.00037, - "11011001110": 1e-05, - "11011010001": 8e-05, - "11011010011": 0.00028, - "11011010100": 1e-05, - "11011010101": 0.00042, - "11011010110": 2e-05, - "11011011001": 0.00021, - "11011011011": 2e-05, - "11011011101": 1e-05, - "11011100001": 1e-05, - "11011100011": 8e-05, - "11011100101": 0.00036, - "11011100110": 1e-05, - "11011101001": 0.00023, + "11010110011": 0.00055, + "11010110101": 0.00133, + "11010110110": 4e-05, + "11010111000": 1e-05, + "11010111001": 0.00106, + "11010111010": 1e-05, + "11010111011": 1e-05, + "11010111101": 8e-05, + "11011000001": 2e-05, + "11011000011": 0.00044, + "11011000101": 0.00098, + "11011000110": 1e-05, + "11011000111": 1e-05, + "11011001001": 0.00063, + "11011001011": 0.00019, + "11011001101": 0.00035, + "11011010001": 0.00013, + "11011010011": 0.00023, + "11011010101": 0.00027, + "11011011001": 0.00035, + "11011011010": 1e-05, + "11011100011": 0.00012, + "11011100101": 0.00023, + "11011100110": 2e-05, + "11011101001": 0.00019, "11011101010": 1e-05, - "11011101011": 1e-05, - "11011110001": 5e-05, + "11011110001": 1e-05, "11011110011": 1e-05, - "11011110101": 3e-05, - "11011111001": 2e-05, + "11011110101": 1e-05, "11100000011": 3e-05, - "11100000101": 3e-05, - "11100000111": 2e-05, - "11100001001": 0.0001, - "11100001011": 0.00052, - "11100001101": 0.00109, - "11100001110": 1e-05, + "11100000101": 5e-05, + "11100000111": 1e-05, + "11100001001": 0.00013, + "11100001010": 1e-05, + "11100001011": 0.00057, + "11100001101": 0.00119, "11100001111": 1e-05, - "11100010011": 0.00054, - "11100010101": 0.00154, - "11100011001": 0.00122, + "11100010011": 0.00046, + "11100010101": 0.00135, + "11100010110": 3e-05, + "11100011001": 0.00107, "11100011010": 1e-05, - "11100011011": 2e-05, - "11100011101": 4e-05, - "11100100001": 4e-05, - "11100100011": 0.00046, - "11100100101": 0.00087, - "11100101001": 0.00064, - "11100101011": 0.00016, + "11100011101": 2e-05, + "11100100001": 1e-05, + "11100100011": 0.00041, + "11100100101": 0.00086, + "11100100111": 1e-05, + "11100101001": 0.00069, + "11100101011": 0.00018, + "11100101100": 1e-05, "11100101101": 0.00036, - "11100101110": 1e-05, - "11100110001": 4e-05, - "11100110011": 8e-05, - "11100110101": 0.00021, - "11100111001": 0.00019, - "11100111010": 1e-05, - "11101000011": 6e-05, + "11100110001": 7e-05, + "11100110011": 0.00019, + "11100110101": 0.0003, + "11100111001": 0.00012, + "11101000011": 5e-05, "11101000101": 7e-05, - "11101000111": 2e-05, "11101001001": 4e-05, - "11101001011": 0.0002, - "11101001101": 0.00042, - "11101010001": 1e-05, - "11101010011": 0.00024, - "11101010101": 0.00075, + "11101001011": 0.00021, + "11101001101": 0.00025, + "11101010011": 0.00031, + "11101010101": 0.0008, "11101010110": 1e-05, - "11101011001": 0.00046, + "11101011001": 0.00047, "11101011011": 1e-05, - "11101011101": 4e-05, + "11101011101": 2e-05, "11101100001": 1e-05, - "11101100011": 0.00025, - "11101100101": 0.00051, - "11101101001": 0.00036, - "11101101010": 1e-05, - "11101111001": 2e-05, + "11101100011": 0.00023, + "11101100101": 0.00045, + "11101101001": 0.00027, + "11101101010": 2e-05, + "11101101100": 1e-05, + "11101110011": 1e-05, + "11101110101": 2e-05, + "11101111001": 1e-05, "11110000101": 2e-05, - "11110000111": 1e-05, "11110001001": 4e-05, - "11110001011": 0.00018, - "11110001101": 0.00055, - "11110010001": 2e-05, - "11110010011": 0.00017, - "11110010101": 0.00073, - "11110011001": 0.00036, + "11110001011": 0.00017, + "11110001101": 0.0005, + "11110001110": 1e-05, + "11110010001": 1e-05, + "11110010011": 0.00025, + "11110010101": 0.00085, + "11110011001": 0.00051, "11110011010": 1e-05, "11110011011": 1e-05, - "11110011101": 5e-05, - "11110100011": 0.00024, - "11110100101": 0.0004, + "11110011101": 2e-05, + "11110100011": 0.00017, + "11110100101": 0.00051, "11110100110": 1e-05, - "11110101001": 0.00034, - "11110110001": 2e-05, + "11110101001": 0.0003, + "11110101010": 1e-05, + "11110110001": 4e-05, "11110110011": 1e-05, - "11110110101": 2e-05, + "11110110101": 4e-05, "11110111001": 2e-05, "11111000011": 1e-05, - "11111000101": 5e-05, - "11111001001": 2e-05 + "11111000101": 6e-05, + "11111001001": 2e-05, + "11111001010": 1e-05 }, "Heisenberg - Qubits12": { - "000000110101": 1e-05, + "000000101011": 2e-05, "000000111001": 1e-05, - "000001001101": 1e-05, "000001010101": 1e-05, - "000001100101": 1e-05, - "000001101011": 1e-05, - "000001110011": 1e-05, - "000001110101": 1e-05, - "000001111001": 3e-05, - "000010001101": 1e-05, - "000010010011": 1e-05, - "000010100011": 1e-05, - "000010101001": 1e-05, - "000010101011": 7e-05, - "000010101101": 0.00021, - "000010110011": 7e-05, - "000010110101": 0.00035, - "000010110110": 1e-05, - "000010111001": 0.00024, + "000001101101": 1e-05, + "000001110101": 3e-05, + "000010010101": 1e-05, + "000010101001": 2e-05, + "000010101011": 3e-05, + "000010101101": 0.00017, + "000010110011": 0.00011, + "000010110101": 0.00029, + "000010111001": 0.00019, + "000010111010": 1e-05, "000010111101": 1e-05, "000011001001": 4e-05, - "000011001011": 0.00013, - "000011001101": 0.00021, + "000011001011": 0.00016, + "000011001101": 0.00033, + "000011001110": 1e-05, + "000011010001": 1e-05, "000011010011": 0.0001, - "000011010101": 0.00034, - "000011011001": 0.00019, - "000011011010": 1e-05, - "000011011011": 2e-05, - "000011100011": 0.00015, - "000011100101": 0.0003, - "000011101001": 0.00016, - "000011110001": 3e-05, + "000011010101": 0.00038, + "000011011001": 0.00022, + "000011011011": 1e-05, + "000011011101": 1e-05, + "000011100011": 0.00012, + "000011100101": 0.00032, + "000011100110": 1e-05, + "000011101001": 0.00024, + "000011101010": 1e-05, + "000011101101": 1e-05, + "000011110001": 2e-05, "000011110011": 1e-05, - "000011110101": 1e-05, - "000011111001": 1e-05, - "000100010101": 1e-05, - "000100011001": 3e-05, + "000011110101": 2e-05, + "000011111010": 2e-05, + "000100001101": 1e-05, + "000100011001": 1e-05, + "000100011011": 1e-05, "000100011101": 1e-05, "000100100111": 1e-05, - "000100101001": 1e-05, - "000100101011": 0.0001, - "000100101101": 0.00028, - "000100110001": 2e-05, - "000100110011": 0.00016, - "000100110101": 0.00046, - "000100110110": 1e-05, - "000100111001": 0.00039, - "000100111011": 1e-05, + "000100101011": 0.00012, + "000100101101": 0.00021, + "000100110011": 0.0002, + "000100110101": 0.00043, + "000100111001": 0.00033, "000100111101": 2e-05, + "000101000011": 2e-05, "000101000101": 1e-05, - "000101001001": 5e-05, - "000101001011": 0.00012, - "000101001101": 0.0004, + "000101000111": 1e-05, + "000101001001": 3e-05, + "000101001011": 0.00031, + "000101001101": 0.00037, "000101010001": 3e-05, - "000101010011": 0.00022, - "000101010101": 0.00083, - "000101011001": 0.00035, - "000101011101": 6e-05, + "000101010011": 0.00031, + "000101010101": 0.00085, + "000101010110": 1e-05, + "000101011001": 0.00048, + "000101011010": 1e-05, + "000101011011": 2e-05, + "000101011101": 3e-05, "000101100001": 1e-05, - "000101100011": 0.0002, - "000101100101": 0.00046, - "000101101001": 0.00034, + "000101100011": 0.00022, + "000101100101": 0.00039, + "000101100110": 2e-05, + "000101101001": 0.00043, "000101101010": 1e-05, "000101101011": 1e-05, + "000101101101": 1e-05, "000101110001": 4e-05, "000101110011": 1e-05, - "000101110101": 2e-05, + "000101110101": 6e-05, "000101111001": 2e-05, - "000101111101": 1e-05, - "000110001001": 6e-05, - "000110001011": 0.00016, - "000110001101": 0.00027, + "000110001011": 0.0001, + "000110001101": 0.0004, "000110010001": 1e-05, - "000110010011": 0.00013, - "000110010101": 0.00036, - "000110011001": 0.00031, - "000110011011": 2e-05, + "000110010011": 0.00019, + "000110010101": 0.00041, + "000110011001": 0.00043, + "000110011011": 1e-05, "000110011101": 1e-05, - "000110100001": 2e-05, - "000110100011": 9e-05, - "000110100101": 0.00046, - "000110100110": 1e-05, - "000110101000": 1e-05, - "000110101001": 0.00031, - "000110101011": 5e-05, - "000110101101": 0.0001, + "000110100011": 0.00011, + "000110100101": 0.00042, + "000110100110": 4e-05, + "000110101001": 0.00023, + "000110101011": 3e-05, + "000110101101": 4e-05, "000110110001": 1e-05, - "000110110011": 0.00011, - "000110110101": 9e-05, - "000110110110": 1e-05, - "000110111001": 6e-05, + "000110110011": 6e-05, + "000110110101": 0.00011, + "000110111001": 0.00015, "000110111101": 1e-05, - "000111000101": 1e-05, - "000111000111": 1e-05, - "000111001011": 0.0001, - "000111001101": 0.00016, + "000111001011": 7e-05, + "000111001101": 0.00019, "000111010011": 0.00011, - "000111010101": 0.00033, - "000111010110": 2e-05, - "000111011001": 0.00025, + "000111010101": 0.00051, + "000111011001": 0.00022, + "000111011010": 1e-05, + "000111011011": 3e-05, "000111011101": 1e-05, - "000111100001": 1e-05, - "000111100011": 0.00011, - "000111100101": 0.00025, - "000111101001": 0.00011, - "000111110001": 2e-05, - "001000101011": 1e-05, - "001000101101": 1e-05, - "001000110101": 1e-05, - "001000111001": 1e-05, - "001001001001": 1e-05, - "001001010101": 1e-05, - "001001100011": 3e-05, + "000111100011": 9e-05, + "000111100101": 0.0003, + "000111100110": 1e-05, + "000111101001": 0.0002, + "000111110001": 1e-05, + "000111110101": 1e-05, + "000111111001": 1e-05, + "001000101101": 2e-05, + "001000110011": 2e-05, + "001000111001": 2e-05, + "001001010011": 1e-05, + "001001011101": 2e-05, + "001001100011": 1e-05, "001001100101": 3e-05, - "001001101001": 4e-05, - "001001101011": 3e-05, - "001001101101": 7e-05, - "001001101110": 1e-05, - "001001110011": 8e-05, - "001001110101": 0.00032, - "001001111001": 0.00021, - "001001111101": 1e-05, - "001010000101": 2e-05, - "001010001011": 4e-05, - "001010001101": 0.0002, - "001010010001": 2e-05, - "001010010011": 0.0001, - "001010010101": 0.00031, - "001010010110": 2e-05, - "001010011001": 0.00031, + "001001100110": 1e-05, + "001001101001": 2e-05, + "001001101011": 4e-05, + "001001101101": 0.00011, + "001001101110": 3e-05, + "001001110011": 0.0001, + "001001110101": 0.00024, + "001001111001": 0.00015, + "001001111010": 1e-05, + "001001111101": 4e-05, + "001010000101": 1e-05, + "001010001001": 1e-05, + "001010001011": 8e-05, + "001010001101": 0.00012, + "001010010011": 0.00017, + "001010010101": 0.00038, + "001010011001": 0.00037, "001010011010": 1e-05, - "001010011011": 5e-05, - "001010011101": 0.00014, - "001010100111": 5e-05, - "001010101001": 0.00012, - "001010101011": 0.00209, - "001010101101": 0.00463, - "001010101110": 5e-05, - "001010110001": 0.00013, + "001010011011": 4e-05, + "001010011101": 0.00013, + "001010100111": 2e-05, + "001010101001": 8e-05, + "001010101011": 0.00206, + "001010101101": 0.00449, + "001010101110": 2e-05, + "001010110001": 0.00018, "001010110011": 0.00284, - "001010110101": 0.00731, - "001010110110": 7e-05, - "001010110111": 2e-05, - "001010111001": 0.00566, - "001010111010": 0.0001, - "001010111011": 8e-05, - "001010111101": 0.00029, + "001010110101": 0.00775, + "001010110110": 0.0001, + "001010111001": 0.00571, + "001010111010": 6e-05, + "001010111011": 0.00012, + "001010111100": 1e-05, + "001010111101": 0.00019, "001011000001": 1e-05, - "001011000011": 0.00013, - "001011000101": 0.00044, - "001011000111": 0.0001, - "001011001001": 0.00076, - "001011001010": 1e-05, - "001011001011": 0.00354, - "001011001101": 0.00755, - "001011001110": 5e-05, - "001011010001": 0.00014, - "001011010010": 1e-05, - "001011010011": 0.00394, - "001011010101": 0.01146, - "001011010110": 0.00014, - "001011010111": 1e-05, - "001011011000": 1e-05, - "001011011001": 0.00755, - "001011011010": 0.00012, - "001011011011": 0.0002, - "001011011100": 2e-05, - "001011011101": 0.00067, - "001011011110": 1e-05, - "001011100001": 8e-05, - "001011100011": 0.00368, - "001011100100": 1e-05, - "001011100101": 0.00886, - "001011100110": 0.00015, + "001011000011": 0.00017, + "001011000101": 0.00032, + "001011000111": 0.00015, + "001011001001": 0.00099, + "001011001011": 0.00373, + "001011001100": 1e-05, + "001011001101": 0.0071, + "001011001110": 9e-05, + "001011001111": 1e-05, + "001011010001": 0.00016, + "001011010011": 0.00416, + "001011010101": 0.01117, + "001011010110": 0.00013, + "001011011001": 0.00703, + "001011011010": 8e-05, + "001011011011": 0.00014, + "001011011101": 0.00047, + "001011011110": 2e-05, + "001011100001": 0.00016, + "001011100011": 0.00371, + "001011100101": 0.00807, + "001011100110": 0.00016, "001011100111": 1e-05, - "001011101001": 0.00579, - "001011101010": 8e-05, - "001011101011": 1e-05, - "001011110001": 0.00053, - "001011110011": 0.0001, - "001011110101": 0.00029, + "001011101001": 0.00558, + "001011101010": 0.00013, + "001011110001": 0.00043, + "001011110011": 0.00012, + "001011110101": 0.00027, "001011110110": 1e-05, - "001011111001": 0.00031, - "001011111101": 1e-05, - "001100001001": 1e-05, - "001100001011": 0.00013, - "001100001101": 0.00011, - "001100010011": 9e-05, - "001100010101": 0.00034, - "001100010110": 1e-05, - "001100011001": 0.00031, - "001100011010": 1e-05, - "001100011011": 0.0001, - "001100011101": 0.00015, - "001100100011": 2e-05, - "001100100101": 4e-05, + "001011111001": 0.00018, + "001100000101": 1e-05, + "001100001001": 4e-05, + "001100001011": 0.00011, + "001100001101": 0.00017, + "001100010011": 7e-05, + "001100010101": 0.00031, + "001100010111": 1e-05, + "001100011001": 0.00047, + "001100011011": 0.00013, + "001100011101": 0.00017, + "001100100011": 1e-05, + "001100100101": 3e-05, "001100100111": 0.00015, "001100101001": 0.00027, - "001100101010": 1e-05, "001100101011": 0.00339, - "001100101101": 0.00776, - "001100101110": 0.00019, - "001100110001": 0.00018, - "001100110011": 0.00456, - "001100110101": 0.01123, - "001100110110": 0.00015, - "001100110111": 3e-05, - "001100111001": 0.0086, - "001100111010": 0.00013, + "001100101100": 1e-05, + "001100101101": 0.00843, + "001100101110": 9e-05, + "001100110001": 0.00017, + "001100110011": 0.00443, + "001100110101": 0.01091, + "001100110110": 0.00012, + "001100110111": 1e-05, + "001100111001": 0.00786, + "001100111010": 0.00014, "001100111011": 0.00021, - "001100111101": 0.00037, - "001101000011": 0.00012, - "001101000101": 0.00042, - "001101000110": 1e-05, - "001101000111": 0.00019, - "001101001001": 0.00104, - "001101001011": 0.00464, + "001100111100": 1e-05, + "001100111101": 0.00033, + "001101000001": 1e-05, + "001101000011": 0.00019, + "001101000101": 0.00043, + "001101000111": 0.00017, + "001101001001": 0.00092, + "001101001010": 2e-05, + "001101001011": 0.00447, "001101001100": 1e-05, - "001101001101": 0.00902, - "001101001110": 0.00011, - "001101010001": 0.00019, - "001101010011": 0.00574, - "001101010100": 1e-05, - "001101010101": 0.01629, - "001101010110": 0.00025, - "001101010111": 2e-05, - "001101011001": 0.01065, - "001101011010": 0.0001, - "001101011011": 0.00025, + "001101001101": 0.00869, + "001101001110": 9e-05, + "001101001111": 2e-05, + "001101010001": 0.00029, + "001101010011": 0.00567, + "001101010101": 0.01628, + "001101010110": 0.0002, + "001101010111": 3e-05, + "001101011001": 0.01067, + "001101011010": 0.00023, + "001101011011": 0.0002, "001101011100": 1e-05, - "001101011101": 0.00061, - "001101011110": 2e-05, - "001101100001": 0.00019, - "001101100011": 0.00453, - "001101100101": 0.01048, - "001101100110": 0.00021, - "001101100111": 2e-05, - "001101101001": 0.00743, - "001101101010": 0.00012, - "001101110001": 0.00063, - "001101110010": 2e-05, - "001101110011": 0.00013, - "001101110101": 0.00041, + "001101011101": 0.00046, + "001101011110": 1e-05, + "001101100001": 0.00016, + "001101100011": 0.00424, + "001101100100": 1e-05, + "001101100101": 0.01047, + "001101100110": 0.00013, + "001101100111": 1e-05, + "001101101001": 0.00752, + "001101101010": 6e-05, + "001101101011": 1e-05, + "001101101101": 2e-05, + "001101110001": 0.00059, + "001101110010": 1e-05, + "001101110011": 9e-05, + "001101110101": 0.00034, "001101110110": 2e-05, - "001101111001": 0.00031, - "001101111011": 1e-05, - "001101111101": 1e-05, - "001110000011": 0.00029, - "001110000101": 0.00048, - "001110000111": 0.00015, - "001110001001": 0.00106, - "001110001010": 2e-05, - "001110001011": 0.00474, - "001110001100": 1e-05, - "001110001101": 0.01031, - "001110001110": 0.0001, - "001110001111": 3e-05, - "001110010001": 0.00013, - "001110010011": 0.00483, - "001110010101": 0.01434, - "001110010110": 0.00016, + "001101111001": 0.00028, + "001101111010": 1e-05, + "001101111110": 1e-05, + "001110000001": 2e-05, + "001110000011": 0.00014, + "001110000101": 0.00034, + "001110000111": 0.00014, + "001110001001": 0.00104, + "001110001011": 0.00504, + "001110001101": 0.0101, + "001110001110": 6e-05, + "001110001111": 1e-05, + "001110010001": 0.00012, + "001110010011": 0.00535, + "001110010100": 1e-05, + "001110010101": 0.01429, + "001110010110": 0.00017, "001110010111": 6e-05, - "001110011001": 0.00925, - "001110011010": 0.00011, - "001110011011": 0.00027, - "001110011100": 4e-05, - "001110011101": 0.00054, + "001110011001": 0.01028, + "001110011010": 0.00021, + "001110011011": 0.0002, + "001110011101": 0.00065, "001110011110": 1e-05, "001110100001": 0.00011, - "001110100011": 0.00418, - "001110100101": 0.00907, - "001110100110": 0.00014, - "001110101001": 0.00557, - "001110101010": 4e-05, - "001110101011": 4e-05, - "001110101100": 1e-05, - "001110101101": 3e-05, - "001110110001": 0.00063, - "001110110011": 0.00015, - "001110110101": 0.00032, - "001110110110": 1e-05, + "001110100011": 0.00379, + "001110100101": 0.00938, + "001110100110": 0.00013, + "001110100111": 1e-05, + "001110101001": 0.00578, + "001110101010": 5e-05, + "001110101011": 2e-05, + "001110101101": 4e-05, + "001110110001": 0.00048, + "001110110010": 1e-05, + "001110110011": 0.00018, + "001110110101": 0.00049, + "001110110110": 2e-05, "001110111001": 0.00027, - "001110111011": 1e-05, + "001110111011": 2e-05, "001110111101": 2e-05, "001111000001": 1e-05, - "001111000011": 0.00039, - "001111000101": 0.00084, - "001111000110": 3e-05, - "001111001001": 0.00056, - "001111001010": 1e-05, - "001111010001": 2e-05, - "001111010011": 2e-05, - "001111010101": 2e-05, + "001111000011": 0.00028, + "001111000101": 0.0007, + "001111000110": 4e-05, + "001111001001": 0.00044, + "001111010001": 8e-05, + "001111010101": 1e-05, "001111011001": 2e-05, - "001111100011": 1e-05, "001111100101": 1e-05, - "010000001011": 1e-05, - "010000001101": 2e-05, + "010000000111": 1e-05, + "010000001101": 1e-05, "010000010011": 1e-05, "010000010101": 2e-05, - "010000010110": 1e-05, - "010000011001": 5e-05, - "010000101001": 1e-05, - "010000101011": 0.00019, - "010000101101": 0.00028, - "010000110001": 1e-05, - "010000110011": 0.00011, - "010000110101": 0.00051, - "010000111001": 0.00034, - "010000111011": 2e-05, - "010000111101": 1e-05, - "010001000111": 3e-05, - "010001001001": 7e-05, - "010001001011": 0.0003, - "010001001101": 0.00045, - "010001010001": 3e-05, - "010001010011": 0.00018, - "010001010100": 1e-05, - "010001010101": 0.0008, - "010001011001": 0.00066, - "010001011010": 1e-05, + "010000011011": 2e-05, + "010000011101": 1e-05, + "010000101001": 4e-05, + "010000101011": 0.00018, + "010000101101": 0.00037, + "010000101110": 1e-05, + "010000110011": 0.0002, + "010000110101": 0.00049, + "010000111001": 0.00042, + "010000111010": 1e-05, + "010000111011": 1e-05, + "010000111101": 4e-05, + "010001000011": 1e-05, + "010001000101": 1e-05, + "010001000111": 1e-05, + "010001001001": 6e-05, + "010001001011": 0.00023, + "010001001101": 0.00055, + "010001010001": 4e-05, + "010001010011": 0.00034, + "010001010101": 0.00091, + "010001010110": 1e-05, + "010001011001": 0.0007, "010001011011": 2e-05, - "010001011101": 4e-05, - "010001100001": 1e-05, - "010001100011": 0.00015, - "010001100101": 0.00051, - "010001100110": 2e-05, - "010001101001": 0.00027, + "010001011101": 2e-05, + "010001100011": 0.00027, + "010001100101": 0.00048, + "010001101001": 0.00018, "010001101011": 0.00015, - "010001101101": 0.00024, - "010001110011": 0.00016, - "010001110101": 0.00052, - "010001111001": 0.00039, - "010001111101": 4e-05, - "010010000101": 1e-05, - "010010001001": 1e-05, - "010010001011": 0.00011, - "010010001101": 0.00014, - "010010010011": 8e-05, - "010010010101": 0.00028, - "010010011001": 0.00022, - "010010011011": 9e-05, - "010010011101": 0.00019, - "010010100011": 0.00021, - "010010100101": 0.00037, - "010010100111": 0.0001, - "010010101001": 0.00097, - "010010101011": 0.00337, - "010010101100": 1e-05, - "010010101101": 0.00853, - "010010101110": 9e-05, - "010010110001": 0.00016, - "010010110011": 0.00508, - "010010110101": 0.01282, - "010010110110": 0.00022, + "010001101101": 0.00029, + "010001101110": 1e-05, + "010001110001": 8e-05, + "010001110011": 0.00017, + "010001110100": 1e-05, + "010001110101": 0.0005, + "010001110110": 1e-05, + "010001111001": 0.00046, + "010001111101": 2e-05, + "010010001001": 4e-05, + "010010001011": 0.00012, + "010010001101": 0.00021, + "010010010011": 9e-05, + "010010010101": 0.0003, + "010010011001": 0.00018, + "010010011011": 0.0001, + "010010011101": 0.00015, + "010010011110": 1e-05, + "010010100001": 2e-05, + "010010100011": 0.0002, + "010010100101": 0.0004, + "010010100110": 1e-05, + "010010100111": 0.00013, + "010010101001": 0.00085, + "010010101011": 0.00374, + "010010101101": 0.00801, + "010010101110": 0.00013, + "010010101111": 1e-05, + "010010110001": 0.00011, + "010010110011": 0.00478, + "010010110101": 0.01331, + "010010110110": 0.00018, "010010110111": 2e-05, + "010010111000": 1e-05, "010010111001": 0.00983, - "010010111010": 0.00014, - "010010111011": 0.00025, - "010010111101": 0.00046, + "010010111010": 0.0002, + "010010111011": 0.00016, + "010010111100": 1e-05, + "010010111101": 0.00037, "010011000001": 2e-05, - "010011000011": 6e-05, - "010011000101": 0.0003, - "010011000111": 0.00018, - "010011001001": 0.00093, - "010011001010": 2e-05, - "010011001011": 0.00616, + "010011000011": 0.00021, + "010011000101": 0.00025, + "010011000111": 0.00023, + "010011001001": 0.00104, + "010011001011": 0.00605, "010011001100": 1e-05, - "010011001101": 0.01115, - "010011001110": 0.00015, - "010011001111": 1e-05, - "010011010001": 0.00033, - "010011010010": 1e-05, - "010011010011": 0.0065, - "010011010101": 0.01858, + "010011001101": 0.0119, + "010011001110": 0.00021, + "010011001111": 3e-05, + "010011010001": 0.00021, + "010011010011": 0.00634, + "010011010100": 1e-05, + "010011010101": 0.01875, "010011010110": 0.00019, - "010011010111": 2e-05, - "010011011001": 0.01261, - "010011011010": 0.00018, - "010011011011": 0.00036, + "010011010111": 3e-05, + "010011011001": 0.0121, + "010011011010": 0.00027, + "010011011011": 0.0004, "010011011100": 1e-05, - "010011011101": 0.00069, - "010011100001": 0.00026, - "010011100011": 0.00601, - "010011100101": 0.01445, - "010011100110": 0.00021, - "010011100111": 3e-05, - "010011101001": 0.00984, - "010011101010": 0.00021, - "010011101101": 3e-05, - "010011110000": 2e-05, - "010011110001": 0.001, - "010011110010": 1e-05, - "010011110011": 0.00018, - "010011110101": 0.00048, + "010011011101": 0.00062, + "010011011110": 1e-05, + "010011100001": 0.00024, + "010011100011": 0.00584, + "010011100100": 1e-05, + "010011100101": 0.01436, + "010011100110": 0.00016, + "010011100111": 2e-05, + "010011101001": 0.0098, + "010011101010": 0.00019, + "010011101011": 3e-05, + "010011101101": 1e-05, + "010011110001": 0.00085, + "010011110010": 2e-05, + "010011110011": 0.00023, + "010011110100": 1e-05, + "010011110101": 0.00064, "010011110110": 1e-05, - "010011111001": 0.00031, - "010011111011": 2e-05, + "010011111001": 0.00037, + "010011111010": 1e-05, + "010011111011": 1e-05, "010011111101": 1e-05, - "010100001001": 4e-05, - "010100001011": 0.00014, - "010100001101": 0.00036, - "010100010011": 0.00031, - "010100010101": 0.00097, - "010100010111": 2e-05, - "010100011001": 0.00072, - "010100011010": 1e-05, - "010100011011": 0.00011, - "010100011101": 0.00023, - "010100100011": 2e-05, - "010100100101": 8e-05, - "010100100111": 0.00015, - "010100101001": 0.0002, - "010100101011": 0.00528, - "010100101101": 0.01213, - "010100101110": 0.00018, + "010100000101": 1e-05, + "010100000111": 1e-05, + "010100001001": 6e-05, + "010100001011": 0.00017, + "010100001101": 0.00038, + "010100001110": 1e-05, + "010100010001": 2e-05, + "010100010011": 0.0003, + "010100010101": 0.0008, + "010100010111": 1e-05, + "010100011001": 0.00071, + "010100011011": 0.00012, + "010100011101": 0.0004, + "010100100011": 1e-05, + "010100100101": 6e-05, + "010100100111": 0.00021, + "010100101001": 0.00036, + "010100101011": 0.00569, + "010100101100": 1e-05, + "010100101101": 0.01166, + "010100101110": 0.0002, "010100101111": 1e-05, - "010100110001": 0.00038, - "010100110011": 0.00703, - "010100110101": 0.01817, - "010100110110": 0.00027, - "010100110111": 1e-05, - "010100111001": 0.01321, - "010100111010": 0.00018, - "010100111011": 0.0003, - "010100111101": 0.00074, - "010100111110": 2e-05, - "010101000001": 2e-05, - "010101000011": 0.00026, - "010101000101": 0.00079, - "010101000111": 0.00025, - "010101001001": 0.00197, - "010101001011": 0.0079, + "010100110001": 0.00027, + "010100110011": 0.00692, + "010100110101": 0.0169, + "010100110110": 0.00022, + "010100110111": 3e-05, + "010100111001": 0.01278, + "010100111010": 0.00034, + "010100111011": 0.00024, + "010100111100": 1e-05, + "010100111101": 0.00063, + "010100111110": 3e-05, + "010101000001": 1e-05, + "010101000011": 0.00035, + "010101000100": 1e-05, + "010101000101": 0.00069, + "010101000110": 1e-05, + "010101000111": 0.00031, + "010101001001": 0.00194, + "010101001010": 2e-05, + "010101001011": 0.00801, "010101001100": 1e-05, - "010101001101": 0.01678, - "010101001110": 0.00025, - "010101001111": 1e-05, - "010101010001": 0.00042, - "010101010011": 0.01075, + "010101001101": 0.01658, + "010101001110": 0.00023, + "010101001111": 2e-05, + "010101010001": 0.00041, + "010101010011": 0.01037, "010101010100": 2e-05, - "010101010101": 0.02807, - "010101010110": 0.00034, - "010101010111": 5e-05, - "010101011000": 1e-05, - "010101011001": 0.0184, - "010101011010": 0.00028, - "010101011011": 0.00053, + "010101010101": 0.02955, + "010101010110": 0.00032, + "010101010111": 1e-05, + "010101011001": 0.01836, + "010101011010": 0.00029, + "010101011011": 0.00063, "010101011100": 2e-05, "010101011101": 0.00094, - "010101011110": 1e-05, - "010101011111": 1e-05, - "010101100001": 0.00034, - "010101100011": 0.00843, - "010101100101": 0.01833, - "010101100110": 0.00026, - "010101100111": 2e-05, - "010101101001": 0.01196, - "010101101010": 0.00025, - "010101110001": 0.00104, - "010101110011": 0.00033, - "010101110101": 0.00081, - "010101111001": 0.00056, - "010101111011": 1e-05, - "010101111101": 1e-05, - "010110000001": 1e-05, - "010110000011": 0.00017, - "010110000101": 0.00068, - "010110000110": 4e-05, - "010110000111": 0.00027, - "010110001001": 0.00173, - "010110001010": 2e-05, - "010110001011": 0.00736, - "010110001100": 1e-05, - "010110001101": 0.01541, - "010110001110": 0.00025, - "010110001111": 2e-05, - "010110010001": 0.00018, - "010110010011": 0.00763, - "010110010100": 1e-05, - "010110010101": 0.0208, - "010110010110": 0.0002, - "010110010111": 4e-05, - "010110011001": 0.01466, - "010110011010": 0.00016, - "010110011011": 0.00036, - "010110011100": 3e-05, - "010110011101": 0.00069, - "010110011110": 2e-05, + "010101011110": 2e-05, + "010101100001": 0.00026, + "010101100011": 0.00817, + "010101100100": 2e-05, + "010101100101": 0.01774, + "010101100110": 0.00024, + "010101100111": 3e-05, + "010101101001": 0.01263, + "010101101010": 0.00011, + "010101101011": 3e-05, + "010101101100": 1e-05, + "010101110001": 0.00112, + "010101110010": 1e-05, + "010101110011": 0.00035, + "010101110101": 0.00083, + "010101110110": 1e-05, + "010101111001": 0.00058, + "010101111011": 5e-05, + "010101111101": 2e-05, + "010110000011": 0.00026, + "010110000101": 0.00054, + "010110000110": 3e-05, + "010110000111": 0.00018, + "010110001001": 0.0015, + "010110001010": 1e-05, + "010110001011": 0.00708, + "010110001101": 0.01457, + "010110001110": 0.0002, + "010110001111": 3e-05, + "010110010001": 0.00015, + "010110010011": 0.00742, + "010110010100": 2e-05, + "010110010101": 0.02123, + "010110010110": 0.00021, + "010110010111": 2e-05, + "010110011001": 0.0152, + "010110011010": 0.00023, + "010110011011": 0.00031, + "010110011101": 0.00093, "010110100001": 0.00027, - "010110100011": 0.00615, - "010110100100": 1e-05, - "010110100101": 0.01398, - "010110100110": 0.00019, - "010110100111": 1e-05, - "010110101001": 0.00861, - "010110101010": 0.00013, - "010110101011": 7e-05, - "010110101100": 1e-05, - "010110101101": 9e-05, - "010110110001": 0.00085, - "010110110010": 1e-05, - "010110110011": 0.0002, - "010110110101": 0.00057, - "010110111001": 0.00034, + "010110100011": 0.00634, + "010110100101": 0.01419, + "010110100110": 0.0002, + "010110100111": 5e-05, + "010110101001": 0.00852, + "010110101010": 7e-05, + "010110101011": 9e-05, + "010110101100": 2e-05, + "010110101101": 7e-05, + "010110110001": 0.00068, + "010110110011": 0.00019, + "010110110101": 0.00051, + "010110110110": 1e-05, + "010110111001": 0.00023, "010110111011": 1e-05, - "010110111101": 2e-05, - "010111000001": 3e-05, - "010111000011": 0.00048, - "010111000101": 0.00122, - "010111000110": 5e-05, - "010111001001": 0.00066, - "010111001010": 2e-05, - "010111001011": 1e-05, - "010111001101": 1e-05, - "010111010001": 8e-05, - "010111010010": 1e-05, - "010111010011": 2e-05, - "010111010101": 0.0001, - "010111011001": 5e-05, + "010110111101": 4e-05, + "010111000001": 5e-05, + "010111000011": 0.00055, + "010111000101": 0.00127, + "010111000110": 3e-05, + "010111001001": 0.00075, + "010111010001": 7e-05, + "010111010011": 4e-05, + "010111010101": 6e-05, + "010111011001": 4e-05, + "010111011010": 1e-05, "010111100011": 1e-05, - "010111100101": 3e-05, + "010111100101": 1e-05, "010111101001": 2e-05, - "010111110001": 1e-05, - "011000000011": 1e-05, - "011000000101": 1e-05, - "011000001001": 3e-05, - "011000001011": 0.00019, - "011000001101": 0.0003, - "011000010001": 1e-05, - "011000010011": 0.00026, - "011000010101": 0.0007, - "011000010110": 1e-05, - "011000010111": 1e-05, - "011000011001": 0.00066, + "011000000111": 1e-05, + "011000001001": 2e-05, + "011000001011": 0.0002, + "011000001101": 0.00035, + "011000001110": 2e-05, + "011000001111": 1e-05, + "011000010001": 2e-05, + "011000010011": 0.00023, + "011000010101": 0.00071, + "011000010110": 3e-05, + "011000010111": 2e-05, + "011000011001": 0.0006, "011000011010": 1e-05, - "011000011011": 8e-05, - "011000011101": 0.0003, - "011000011110": 1e-05, - "011000100101": 2e-05, - "011000100111": 0.00016, - "011000101001": 0.00031, - "011000101011": 0.005, - "011000101101": 0.01185, - "011000101110": 0.00017, - "011000110001": 0.00029, + "011000011011": 0.00018, + "011000011101": 0.00028, + "011000100011": 1e-05, + "011000100101": 1e-05, + "011000100111": 0.00021, + "011000101001": 0.00042, + "011000101010": 1e-05, + "011000101011": 0.00514, + "011000101100": 1e-05, + "011000101101": 0.01199, + "011000101110": 0.00018, + "011000101111": 1e-05, + "011000110001": 0.00023, "011000110011": 0.00704, - "011000110101": 0.01752, - "011000110110": 0.00019, - "011000110111": 1e-05, - "011000111000": 1e-05, - "011000111001": 0.01336, - "011000111010": 0.00028, - "011000111011": 0.00037, + "011000110100": 1e-05, + "011000110101": 0.01741, + "011000110110": 0.00021, + "011000110111": 2e-05, + "011000111001": 0.01407, + "011000111010": 0.00014, + "011000111011": 0.00026, "011000111100": 2e-05, - "011000111101": 0.00082, - "011001000011": 0.00024, - "011001000101": 0.00057, - "011001000111": 0.00028, - "011001001001": 0.00159, + "011000111101": 0.00051, + "011000111110": 1e-05, + "011001000001": 2e-05, + "011001000011": 0.00023, + "011001000101": 0.00063, + "011001000110": 1e-05, + "011001000111": 0.00021, + "011001001001": 0.00147, "011001001010": 1e-05, - "011001001011": 0.00677, - "011001001100": 1e-05, - "011001001101": 0.01471, - "011001001110": 0.00022, - "011001001111": 5e-05, - "011001010001": 0.00028, - "011001010011": 0.00862, - "011001010101": 0.02488, - "011001010110": 0.00028, - "011001010111": 1e-05, - "011001011001": 0.01571, - "011001011010": 0.00025, - "011001011011": 0.00061, - "011001011100": 3e-05, - "011001011101": 0.00082, - "011001011110": 1e-05, - "011001100001": 0.00026, - "011001100011": 0.00757, - "011001100101": 0.01834, - "011001100110": 0.00026, - "011001101001": 0.0123, - "011001101010": 0.00011, - "011001101011": 1e-05, - "011001101100": 2e-05, + "011001001011": 0.00714, + "011001001101": 0.01389, + "011001001110": 0.00025, + "011001001111": 1e-05, + "011001010001": 0.00038, + "011001010010": 1e-05, + "011001010011": 0.00873, + "011001010101": 0.0251, + "011001010110": 0.00031, + "011001010111": 2e-05, + "011001011001": 0.01535, + "011001011010": 0.00023, + "011001011011": 0.00036, + "011001011100": 1e-05, + "011001011101": 0.00091, + "011001011110": 4e-05, + "011001100001": 0.00024, + "011001100011": 0.00779, + "011001100101": 0.01745, + "011001100110": 0.00018, + "011001100111": 1e-05, + "011001101001": 0.0124, + "011001101010": 0.00016, + "011001101011": 2e-05, + "011001101100": 1e-05, "011001101101": 2e-05, - "011001110001": 0.00113, + "011001101110": 1e-05, + "011001110001": 0.00118, "011001110010": 2e-05, - "011001110011": 0.00014, - "011001110101": 0.00061, - "011001110110": 1e-05, + "011001110011": 0.0003, + "011001110101": 0.00055, + "011001110110": 2e-05, "011001111001": 0.00044, + "011001111011": 1e-05, "011001111101": 1e-05, "011010000001": 2e-05, - "011010000011": 0.00021, + "011010000011": 0.00014, "011010000101": 0.00038, - "011010000110": 1e-05, - "011010000111": 0.00021, - "011010001001": 0.00114, - "011010001010": 2e-05, - "011010001011": 0.00549, - "011010001100": 1e-05, - "011010001101": 0.01132, - "011010001110": 0.00016, - "011010001111": 2e-05, - "011010010001": 0.00025, - "011010010011": 0.00573, - "011010010100": 1e-05, - "011010010101": 0.01594, - "011010010110": 0.00018, - "011010010111": 5e-05, - "011010011000": 1e-05, - "011010011001": 0.01166, - "011010011010": 0.00033, - "011010011011": 0.00032, - "011010011100": 3e-05, - "011010011101": 0.00076, - "011010100001": 0.00015, - "011010100011": 0.00442, - "011010100101": 0.00965, - "011010100110": 0.00016, - "011010101001": 0.00572, - "011010101010": 6e-05, - "011010101011": 5e-05, + "011010000111": 0.00026, + "011010001001": 0.00126, + "011010001011": 0.0056, + "011010001101": 0.01162, + "011010001110": 0.00025, + "011010001111": 3e-05, + "011010010001": 0.00024, + "011010010011": 0.00603, + "011010010101": 0.01656, + "011010010110": 0.00023, + "011010010111": 1e-05, + "011010011001": 0.01199, + "011010011010": 0.00029, + "011010011011": 0.00038, + "011010011101": 0.00072, + "011010011110": 1e-05, + "011010100001": 0.00011, + "011010100011": 0.00428, + "011010100101": 0.0097, + "011010100110": 9e-05, + "011010100111": 3e-05, + "011010101001": 0.00618, + "011010101010": 8e-05, + "011010101011": 7e-05, "011010101100": 1e-05, - "011010101101": 0.0001, - "011010101110": 1e-05, - "011010110001": 0.0005, - "011010110011": 0.0005, - "011010110101": 0.00144, + "011010101101": 0.00012, + "011010101110": 2e-05, + "011010110001": 0.00047, + "011010110011": 0.00043, + "011010110101": 0.00132, "011010110110": 1e-05, - "011010111001": 0.00096, + "011010111001": 0.00095, "011010111010": 1e-05, - "011010111011": 1e-05, - "011010111101": 4e-05, + "011010111011": 2e-05, + "011010111101": 9e-05, "011011000001": 1e-05, - "011011000011": 0.00037, - "011011000101": 0.001, - "011011000111": 1e-05, - "011011001001": 0.00054, + "011011000011": 0.00043, + "011011000101": 0.00088, + "011011001001": 0.00061, "011011001010": 1e-05, - "011011001011": 0.00014, - "011011001101": 0.00036, - "011011010001": 0.00017, - "011011010011": 0.00021, - "011011010101": 0.00043, + "011011001011": 0.00013, + "011011001101": 0.00037, + "011011001110": 1e-05, + "011011001111": 1e-05, + "011011010001": 0.00014, + "011011010011": 9e-05, + "011011010101": 0.00056, "011011010110": 1e-05, - "011011011001": 0.00024, - "011011011010": 2e-05, + "011011011001": 0.00018, + "011011011010": 1e-05, "011011011011": 1e-05, "011011011101": 1e-05, - "011011100011": 0.00018, - "011011100101": 0.00033, - "011011100110": 1e-05, - "011011101001": 0.0002, - "011011110001": 1e-05, + "011011100011": 9e-05, + "011011100101": 0.00026, + "011011101001": 0.00025, + "011011110001": 3e-05, + "011011110101": 1e-05, "011011111001": 1e-05, - "011100000101": 3e-05, - "011100000111": 1e-05, - "011100001001": 0.0001, - "011100001011": 0.00041, - "011100001101": 0.00117, - "011100010001": 2e-05, - "011100010011": 0.00046, - "011100010101": 0.0014, + "011100000011": 1e-05, + "011100000101": 2e-05, + "011100000111": 2e-05, + "011100001001": 0.00015, + "011100001011": 0.00043, + "011100001101": 0.00113, + "011100001110": 2e-05, + "011100010001": 3e-05, + "011100010011": 0.00056, + "011100010101": 0.00143, "011100010110": 1e-05, "011100010111": 1e-05, - "011100011001": 0.00095, - "011100011010": 1e-05, - "011100011101": 3e-05, - "011100100001": 2e-05, - "011100100011": 0.00034, - "011100100101": 0.00095, + "011100011001": 0.00107, + "011100011011": 2e-05, + "011100011101": 4e-05, + "011100100011": 0.00044, + "011100100101": 0.00089, "011100100110": 1e-05, - "011100100111": 1e-05, - "011100101001": 0.00051, - "011100101011": 0.00011, - "011100101101": 0.0004, - "011100110001": 5e-05, + "011100101001": 0.00054, + "011100101011": 0.00013, + "011100101101": 0.00038, + "011100110001": 9e-05, "011100110011": 9e-05, - "011100110101": 0.00029, - "011100111001": 0.00018, - "011101000011": 3e-05, - "011101000101": 7e-05, - "011101001001": 8e-05, - "011101001011": 0.00018, - "011101001101": 0.00033, - "011101001111": 1e-05, - "011101010011": 0.00021, - "011101010101": 0.00053, - "011101010110": 3e-05, - "011101011001": 0.00047, + "011100110101": 0.00022, + "011100111001": 0.00019, + "011100111101": 3e-05, + "011101000011": 4e-05, + "011101000101": 0.00014, + "011101000111": 1e-05, + "011101001001": 0.0001, + "011101001011": 0.0001, + "011101001101": 0.0003, + "011101010011": 0.00026, + "011101010101": 0.00069, + "011101010110": 2e-05, + "011101011001": 0.00028, "011101011010": 1e-05, - "011101100001": 1e-05, - "011101100011": 0.00015, - "011101100101": 0.00046, - "011101101001": 0.00026, + "011101011101": 2e-05, + "011101100011": 0.00017, + "011101100101": 0.00034, + "011101101001": 0.00045, "011101101010": 1e-05, - "011101110001": 2e-05, - "011101111001": 1e-05, - "011101111101": 1e-05, - "011110001001": 8e-05, - "011110001011": 0.00024, - "011110001101": 0.00056, - "011110010011": 0.0002, - "011110010101": 0.00059, - "011110010110": 1e-05, - "011110011001": 0.0004, + "011101110001": 4e-05, + "011101110011": 1e-05, + "011101110101": 4e-05, + "011110000101": 3e-05, + "011110000111": 2e-05, + "011110001001": 5e-05, + "011110001011": 0.00022, + "011110001101": 0.00032, + "011110001110": 1e-05, + "011110010001": 1e-05, + "011110010011": 0.00022, + "011110010101": 0.00065, + "011110011001": 0.00042, + "011110011010": 1e-05, "011110011011": 1e-05, "011110011101": 2e-05, - "011110100011": 0.00016, - "011110100101": 0.00032, - "011110100110": 1e-05, - "011110101001": 0.00023, + "011110100011": 0.00019, + "011110100101": 0.00035, + "011110101001": 0.00024, "011110110001": 1e-05, - "011110110011": 3e-05, - "011110110101": 1e-05, - "011110111001": 1e-05, - "011111000011": 2e-05, - "011111000101": 6e-05, - "011111001001": 5e-05, - "011111010001": 1e-05, - "011111010101": 1e-05, + "011110110011": 2e-05, + "011110110101": 3e-05, + "011111000011": 3e-05, + "011111000101": 2e-05, + "011111001001": 3e-05, + "011111010101": 2e-05, + "011111011001": 1e-05, "100000101101": 1e-05, - "100001001101": 2e-05, - "100001100011": 2e-05, - "100001100101": 1e-05, - "100001101101": 2e-05, - "100010001101": 1e-05, - "100010011101": 1e-05, - "100010100011": 1e-05, - "100010101011": 5e-05, - "100010101101": 0.0001, - "100010101110": 2e-05, - "100010110001": 1e-05, - "100010110011": 0.0001, - "100010110101": 0.00033, - "100010111001": 0.00016, - "100010111101": 1e-05, - "100011000111": 1e-05, + "100000110011": 1e-05, + "100000110101": 2e-05, + "100000111001": 1e-05, + "100001010011": 4e-05, + "100001011001": 1e-05, + "100001101101": 1e-05, + "100001110011": 1e-05, + "100010100101": 2e-05, + "100010101001": 1e-05, + "100010101011": 7e-05, + "100010101101": 0.00014, + "100010101110": 1e-05, + "100010110011": 9e-05, + "100010110101": 0.00026, + "100010110111": 1e-05, + "100010111001": 0.00018, + "100010111011": 1e-05, + "100010111101": 2e-05, + "100011000011": 1e-05, "100011001001": 1e-05, - "100011001011": 0.00014, + "100011001011": 0.00016, "100011001101": 0.00019, - "100011001110": 1e-05, - "100011001111": 1e-05, - "100011010011": 0.00017, - "100011010101": 0.00029, + "100011010001": 1e-05, + "100011010011": 0.00015, + "100011010101": 0.00038, "100011010110": 1e-05, "100011011001": 0.00029, "100011011010": 1e-05, + "100011011011": 2e-05, "100011011101": 1e-05, - "100011100011": 0.00015, - "100011100101": 0.00028, - "100011101001": 0.0002, - "100011110101": 1e-05, - "100011111001": 1e-05, - "100100001001": 1e-05, + "100011100001": 1e-05, + "100011100011": 5e-05, + "100011100101": 0.00022, + "100011101001": 0.00028, + "100011110001": 1e-05, "100100001101": 1e-05, "100100010011": 2e-05, - "100100010101": 1e-05, - "100100011001": 2e-05, - "100100011011": 1e-05, + "100100010101": 3e-05, + "100100011001": 1e-05, + "100100011101": 1e-05, + "100100101001": 1e-05, "100100101011": 7e-05, - "100100101101": 0.00012, - "100100101110": 1e-05, - "100100101111": 1e-05, - "100100110001": 2e-05, - "100100110011": 0.0002, - "100100110101": 0.00033, - "100100111001": 0.00022, - "100101000101": 4e-05, - "100101001001": 1e-05, + "100100101101": 0.00021, + "100100110011": 0.00011, + "100100110101": 0.00024, + "100100111001": 0.00024, + "100100111011": 3e-05, + "100100111101": 2e-05, + "100101000011": 1e-05, + "100101001001": 3e-05, "100101001011": 0.00016, - "100101001101": 0.00029, - "100101010001": 1e-05, + "100101001101": 0.00028, + "100101001110": 1e-05, "100101010011": 0.0002, - "100101010101": 0.00042, - "100101011001": 0.00045, - "100101011010": 1e-05, - "100101011101": 2e-05, - "100101100011": 9e-05, - "100101100101": 0.00018, - "100101101001": 0.00025, - "100101110001": 3e-05, + "100101010101": 0.00043, + "100101011001": 0.00031, + "100101011101": 1e-05, + "100101100011": 0.00015, + "100101100101": 0.00023, + "100101100110": 1e-05, + "100101101001": 0.0002, + "100101110001": 4e-05, "100101110011": 2e-05, "100101110101": 1e-05, + "100101111001": 3e-05, + "100101111011": 1e-05, "100110000101": 1e-05, - "100110001001": 1e-05, - "100110001011": 5e-05, - "100110001101": 0.00022, + "100110001001": 3e-05, + "100110001011": 0.00011, + "100110001101": 0.00026, "100110010001": 1e-05, - "100110010011": 0.0001, - "100110010101": 0.00037, - "100110011001": 0.00027, - "100110011010": 1e-05, - "100110011011": 1e-05, + "100110010011": 0.00011, + "100110010101": 0.00036, + "100110010110": 1e-05, + "100110011001": 0.00021, "100110011101": 2e-05, "100110100001": 1e-05, "100110100011": 0.00013, - "100110100101": 0.0003, + "100110100101": 0.00017, "100110100110": 1e-05, - "100110101001": 0.00015, - "100110110011": 1e-05, - "100110110101": 2e-05, - "100111000011": 2e-05, + "100110101001": 0.00014, + "100110110001": 1e-05, + "100111000011": 3e-05, "100111000101": 2e-05, - "100111001001": 1e-05, - "100111010101": 1e-05, - "101000010101": 1e-05, - "101000011001": 1e-05, - "101000011011": 1e-05, + "100111000111": 1e-05, + "100111110001": 1e-05, + "101000001101": 1e-05, + "101000010101": 2e-05, + "101000011001": 2e-05, + "101000101001": 1e-05, "101000101011": 9e-05, - "101000101101": 0.00018, - "101000110011": 0.00015, - "101000110101": 0.00025, - "101000111001": 0.0002, - "101000111101": 2e-05, - "101001000101": 3e-05, - "101001001011": 0.00011, - "101001001101": 0.00022, - "101001010001": 1e-05, - "101001010011": 0.0002, - "101001010101": 0.00049, - "101001010110": 3e-05, - "101001011001": 0.00019, + "101000101101": 0.00016, + "101000110011": 0.00011, + "101000110101": 0.00023, + "101000111001": 0.00021, + "101000111010": 1e-05, + "101001001001": 3e-05, + "101001001011": 7e-05, + "101001001101": 0.0002, + "101001010011": 0.00018, + "101001010101": 0.00045, + "101001011001": 0.00024, "101001011011": 1e-05, - "101001100011": 0.00013, - "101001100101": 0.00023, - "101001100110": 1e-05, - "101001101001": 0.00014, - "101001111001": 2e-05, - "101010001001": 1e-05, + "101001011101": 1e-05, + "101001100001": 1e-05, + "101001100011": 9e-05, + "101001100101": 0.00026, + "101001101001": 0.0002, + "101001101010": 2e-05, + "101001110001": 1e-05, + "101001110101": 3e-05, + "101010001001": 2e-05, "101010001010": 1e-05, - "101010001011": 3e-05, - "101010001101": 0.00013, - "101010010011": 8e-05, - "101010010101": 0.00022, - "101010011001": 0.00015, - "101010011010": 1e-05, - "101010011011": 1e-05, + "101010001011": 0.0001, + "101010001101": 0.00015, + "101010010001": 1e-05, + "101010010011": 7e-05, + "101010010101": 0.00021, + "101010011001": 0.00017, "101010011101": 2e-05, - "101010100011": 4e-05, - "101010100101": 0.00022, - "101010101001": 6e-05, - "101010110011": 1e-05, - "101010110101": 2e-05, - "101011000101": 1e-05, - "101011001101": 2e-05, - "101011010101": 1e-05, - "101011100011": 1e-05, + "101010100011": 0.00012, + "101010100101": 0.00015, + "101010100110": 1e-05, + "101010101001": 0.00012, + "101010110001": 4e-05, + "101010110101": 1e-05, + "101010111001": 2e-05, + "101011001001": 1e-05, + "101011010110": 1e-05, + "101011011001": 1e-05, "101011100101": 1e-05, - "101100001011": 3e-05, - "101100001101": 1e-05, + "101011101001": 1e-05, + "101100001101": 2e-05, "101100010011": 1e-05, - "101100010101": 4e-05, - "101100011001": 4e-05, + "101100010101": 5e-05, + "101100011001": 6e-05, + "101100011101": 1e-05, "101100100011": 1e-05, - "101100101101": 1e-05, - "101101010011": 1e-05, - "101101100101": 2e-05, - "101110010011": 1e-05, - "101110110101": 1e-05, - "110000110101": 1e-05, - "110000111001": 3e-05, - "110001001011": 1e-05, - "110001001101": 1e-05, - "110001010101": 2e-05, - "110001100101": 1e-05, - "110010001011": 1e-05, - "110010010101": 1e-05, - "110010011001": 1e-05, - "110010100011": 1e-05, - "110010101001": 1e-05, - "110101011101": 1e-05, - "110101100101": 1e-05, - "111001100011": 1e-05, + "101100101001": 1e-05, + "101101000011": 1e-05, + "101101011001": 1e-05, + "101101100001": 1e-05, + "101101100101": 1e-05, + "101110001101": 1e-05, + "101110010101": 1e-05, + "101110100011": 1e-05, + "101110100101": 1e-05, + "110000101011": 1e-05, + "110000101101": 1e-05, + "110000110101": 2e-05, + "110000111001": 4e-05, + "110001001101": 2e-05, + "110001010101": 3e-05, + "110001100011": 2e-05, + "110001101001": 2e-05, + "110010001101": 2e-05, + "110010100101": 1e-05, + "110010110101": 1e-05, + "110010111001": 1e-05, + "111001010101": 1e-05, "111001100101": 1e-05 }, "Heisenberg - Qubits2": { - "00": 0.00018, - "01": 0.65759, - "10": 0.34223 + "00": 0.00026, + "01": 0.65779, + "10": 0.34193, + "11": 2e-05 }, "Heisenberg - Qubits3": { - "001": 0.00038, - "011": 0.01034, - "100": 0.00017, - "101": 0.97638, - "110": 0.01261, - "111": 0.00012 + "001": 0.00035, + "010": 2e-05, + "011": 0.00926, + "100": 0.00015, + "101": 0.97737, + "110": 0.01276, + "111": 9e-05 }, "Heisenberg - Qubits4": { - "0001": 0.00876, - "0011": 0.24725, - "0100": 0.00025, - "0101": 0.72055, - "0110": 0.00951, - "0111": 0.00068, - "1001": 0.01214, - "1010": 0.00013, - "1011": 0.00026, - "1100": 6e-05, - "1101": 0.00041 + "0000": 1e-05, + "0001": 0.0086, + "0010": 2e-05, + "0011": 0.24574, + "0100": 0.00023, + "0101": 0.72104, + "0110": 0.01005, + "0111": 0.00073, + "1000": 1e-05, + "1001": 0.01266, + "1010": 0.00017, + "1011": 0.00031, + "1100": 1e-05, + "1101": 0.00041, + "1110": 1e-05 }, "Heisenberg - Qubits5": { - "00001": 2e-05, - "00011": 0.00019, - "00101": 0.00037, - "00111": 5e-05, - "01001": 5e-05, - "01011": 0.00373, - "01101": 0.00746, + "00011": 0.00021, + "00101": 0.00034, + "00110": 1e-05, + "00111": 2e-05, + "01001": 3e-05, + "01011": 0.00371, + "01101": 0.00738, "01110": 0.00011, - "01111": 1e-05, - "10001": 0.01008, - "10010": 3e-05, - "10011": 0.19805, - "10100": 0.00018, - "10101": 0.48885, - "10110": 0.00615, - "10111": 0.00064, - "11000": 9e-05, - "11001": 0.26528, - "11010": 0.00427, - "11011": 0.00413, - "11100": 0.00033, - "11101": 0.0098, - "11110": 0.00013 + "01111": 2e-05, + "10001": 0.00975, + "10010": 1e-05, + "10011": 0.19598, + "10100": 0.00015, + "10101": 0.49085, + "10110": 0.00573, + "10111": 0.00067, + "11000": 8e-05, + "11001": 0.26754, + "11010": 0.00408, + "11011": 0.00417, + "11100": 0.00018, + "11101": 0.00889, + "11110": 9e-05 }, "Heisenberg - Qubits6": { - "000001": 0.00015, - "000011": 0.00281, - "000101": 0.00656, - "000110": 8e-05, - "000111": 0.00252, - "001000": 1e-05, - "001001": 0.01602, - "001010": 0.00011, - "001011": 0.0828, - "001100": 9e-05, - "001101": 0.17143, - "001110": 0.00262, - "001111": 0.0002, - "010001": 0.0035, - "010010": 1e-05, - "010011": 0.12114, - "010100": 7e-05, - "010101": 0.32134, - "010110": 0.00404, + "000001": 8e-05, + "000011": 0.00288, + "000100": 1e-05, + "000101": 0.00595, + "000110": 6e-05, + "000111": 0.00272, + "001001": 0.01589, + "001010": 6e-05, + "001011": 0.08369, + "001100": 7e-05, + "001101": 0.17174, + "001110": 0.0024, + "001111": 0.00022, + "010001": 0.0034, + "010011": 0.12181, + "010100": 6e-05, + "010101": 0.3219, + "010110": 0.00397, "010111": 0.00041, - "011000": 1e-05, - "011001": 0.23339, - "011010": 0.00373, - "011011": 0.00447, - "011100": 0.00018, - "011101": 0.01039, - "011110": 0.00022, - "100001": 2e-05, - "100011": 0.0023, - "100101": 0.00495, - "100110": 9e-05, - "101001": 0.00346, - "101010": 9e-05, - "101011": 4e-05, - "101101": 2e-05, - "110001": 0.00014, - "110010": 1e-05, - "110011": 0.00012, - "110101": 0.00021, - "111001": 0.00023, - "111010": 1e-05, - "111101": 1e-05 + "011000": 6e-05, + "011001": 0.23083, + "011010": 0.00365, + "011011": 0.00474, + "011100": 0.00017, + "011101": 0.01104, + "011110": 9e-05, + "100001": 6e-05, + "100011": 0.00225, + "100101": 0.00537, + "100110": 3e-05, + "101001": 0.0037, + "101010": 5e-05, + "101011": 1e-05, + "101101": 3e-05, + "110001": 0.00017, + "110011": 0.0001, + "110101": 0.0002, + "111001": 0.00013 }, "Heisenberg - Qubits7": { - "0001011": 1e-05, - "0001101": 7e-05, - "0010011": 1e-05, - "0010101": 1e-05, - "0011001": 3e-05, + "0000101": 1e-05, + "0001001": 1e-05, + "0001101": 6e-05, + "0010011": 2e-05, + "0010101": 6e-05, + "0010110": 1e-05, + "0011001": 4e-05, "0011011": 1e-05, - "0011101": 3e-05, - "0100011": 8e-05, - "0100101": 0.00017, + "0011101": 1e-05, + "0100011": 6e-05, + "0100101": 0.00022, "0100111": 3e-05, - "0101001": 0.00037, - "0101011": 0.00098, - "0101101": 0.00221, + "0101001": 0.0003, + "0101011": 0.00104, + "0101101": 0.00239, "0101110": 3e-05, - "0110001": 2e-05, - "0110011": 0.00143, - "0110101": 0.00344, - "0110110": 2e-05, - "0111001": 0.00256, - "0111010": 7e-05, - "0111011": 7e-05, + "0110011": 0.00153, + "0110101": 0.00353, + "0110110": 4e-05, + "0111001": 0.00283, + "0111010": 2e-05, + "0111011": 5e-05, "0111101": 0.00013, - "0111110": 1e-05, "1000001": 6e-05, - "1000011": 0.00174, - "1000101": 0.00387, - "1000110": 3e-05, - "1000111": 0.00216, - "1001001": 0.01298, - "1001010": 6e-05, - "1001011": 0.07019, - "1001100": 9e-05, - "1001101": 0.14258, - "1001110": 0.00228, - "1001111": 0.00016, - "1010001": 0.00297, - "1010010": 2e-05, - "1010011": 0.07926, - "1010100": 0.0001, - "1010101": 0.22532, - "1010110": 0.0028, - "1010111": 0.00035, - "1011000": 4e-05, - "1011001": 0.153, - "1011010": 0.00262, - "1011011": 0.00379, - "1011100": 0.00014, - "1011101": 0.00898, - "1011110": 9e-05, - "1011111": 1e-05, - "1100001": 0.00171, + "1000011": 0.00192, + "1000101": 0.00438, + "1000110": 0.0001, + "1000111": 0.00228, + "1001001": 0.01309, + "1001010": 0.00018, + "1001011": 0.06871, + "1001100": 4e-05, + "1001101": 0.14341, + "1001110": 0.0021, + "1001111": 0.00017, + "1010001": 0.003, + "1010010": 1e-05, + "1010011": 0.08099, + "1010100": 2e-05, + "1010101": 0.22586, + "1010110": 0.00248, + "1010111": 0.0003, + "1011000": 6e-05, + "1011001": 0.15012, + "1011010": 0.00254, + "1011011": 0.00385, + "1011100": 0.00011, + "1011101": 0.0089, + "1011110": 0.00019, + "1011111": 2e-05, + "1100001": 0.00192, "1100011": 0.0525, - "1100100": 3e-05, - "1100101": 0.11589, - "1100110": 0.00153, - "1100111": 0.00017, - "1101000": 3e-05, - "1101001": 0.08088, - "1101010": 0.00105, - "1101011": 0.00022, + "1100100": 4e-05, + "1100101": 0.11706, + "1100110": 0.00162, + "1100111": 0.00014, + "1101000": 1e-05, + "1101001": 0.0792, + "1101010": 0.00113, + "1101011": 0.00013, "1101100": 5e-05, - "1101101": 0.00034, - "1110001": 0.00755, - "1110010": 8e-05, - "1110011": 0.00182, - "1110100": 2e-05, - "1110101": 0.00483, - "1110110": 9e-05, - "1111000": 1e-05, - "1111001": 0.00356, - "1111010": 2e-05, - "1111011": 6e-05, - "1111100": 1e-05, - "1111101": 7e-05 + "1101101": 0.00022, + "1110001": 0.00724, + "1110010": 0.00015, + "1110011": 0.00191, + "1110100": 1e-05, + "1110101": 0.00544, + "1110110": 5e-05, + "1110111": 1e-05, + "1111001": 0.00359, + "1111010": 0.00011, + "1111011": 4e-05, + "1111101": 0.0001, + "1111110": 1e-05 }, "Heisenberg - Qubits8": { - "00000101": 2e-05, - "00001001": 0.00013, - "00001011": 0.00067, - "00001101": 0.0011, + "00000011": 1e-05, + "00000101": 3e-05, + "00000111": 1e-05, + "00001001": 0.0001, + "00001011": 0.00065, + "00001101": 0.00128, + "00001111": 1e-05, "00010001": 3e-05, - "00010011": 0.0012, - "00010101": 0.00243, - "00010110": 1e-05, - "00010111": 5e-05, - "00011001": 0.0021, - "00011010": 4e-05, - "00011011": 0.00064, - "00011101": 0.00114, - "00011110": 1e-05, - "00100011": 0.00012, - "00100101": 0.00013, - "00100111": 0.00081, - "00101001": 0.00164, - "00101010": 1e-05, - "00101011": 0.02502, + "00010011": 0.00087, + "00010101": 0.00274, + "00010110": 5e-05, + "00010111": 2e-05, + "00011001": 0.00212, + "00011010": 1e-05, + "00011011": 0.00061, + "00011101": 0.0013, + "00011110": 3e-05, + "00100001": 4e-05, + "00100011": 8e-05, + "00100101": 0.00016, + "00100111": 0.00068, + "00101001": 0.00183, + "00101010": 2e-05, + "00101011": 0.02435, "00101100": 2e-05, - "00101101": 0.05402, - "00101110": 0.00064, - "00101111": 6e-05, - "00110001": 0.00121, - "00110011": 0.03099, + "00101101": 0.0537, + "00101110": 0.00074, + "00101111": 4e-05, + "00110001": 0.00138, + "00110010": 1e-05, + "00110011": 0.0319, "00110100": 3e-05, - "00110101": 0.08036, - "00110110": 0.00099, - "00110111": 8e-05, + "00110101": 0.07996, + "00110110": 0.00086, + "00110111": 0.00012, "00111000": 1e-05, - "00111001": 0.06191, - "00111010": 0.00109, - "00111011": 0.00155, - "00111100": 6e-05, - "00111101": 0.00292, - "00111110": 3e-05, - "00111111": 1e-05, - "01000000": 1e-05, - "01000001": 0.0001, - "01000011": 0.00192, - "01000101": 0.0037, + "00111001": 0.06296, + "00111010": 0.00092, + "00111011": 0.00137, + "00111100": 5e-05, + "00111101": 0.00295, + "00111110": 1e-05, + "01000001": 6e-05, + "01000011": 0.00182, + "01000101": 0.00353, "01000110": 6e-05, "01000111": 0.00167, - "01001001": 0.00976, - "01001010": 7e-05, - "01001011": 0.04534, - "01001100": 5e-05, - "01001101": 0.09069, - "01001110": 0.00113, - "01001111": 0.0001, - "01010001": 0.00216, + "01001001": 0.00997, + "01001010": 0.00012, + "01001011": 0.04483, + "01001100": 6e-05, + "01001101": 0.0896, + "01001110": 0.00146, + "01001111": 0.00013, + "01010001": 0.00207, "01010010": 1e-05, - "01010011": 0.05355, - "01010100": 5e-05, - "01010101": 0.1503, - "01010110": 0.00195, - "01010111": 0.00024, - "01011000": 6e-05, - "01011001": 0.09593, - "01011010": 0.00134, - "01011011": 0.00238, - "01011100": 8e-05, - "01011101": 0.0059, - "01011110": 9e-05, - "01100001": 0.00172, - "01100011": 0.04742, - "01100100": 3e-05, - "01100101": 0.10574, - "01100110": 0.0012, - "01100111": 9e-05, - "01101000": 2e-05, - "01101001": 0.07272, - "01101010": 0.00107, - "01101011": 5e-05, - "01101100": 8e-05, - "01101101": 4e-05, - "01101110": 1e-05, - "01110001": 0.00584, - "01110010": 4e-05, - "01110011": 0.00161, - "01110101": 0.00388, - "01110110": 2e-05, - "01111001": 0.00285, - "01111010": 8e-05, + "01010011": 0.05367, + "01010100": 6e-05, + "01010101": 0.15131, + "01010110": 0.00187, + "01010111": 0.00037, + "01011000": 4e-05, + "01011001": 0.09696, + "01011010": 0.00144, + "01011011": 0.0026, + "01011100": 0.0001, + "01011101": 0.00633, + "01011110": 8e-05, + "01100001": 0.00157, + "01100011": 0.04653, + "01100100": 2e-05, + "01100101": 0.10473, + "01100110": 0.00159, + "01100111": 0.00012, + "01101000": 4e-05, + "01101001": 0.07191, + "01101010": 0.0011, + "01101011": 6e-05, + "01101100": 3e-05, + "01101101": 9e-05, + "01110001": 0.00613, + "01110010": 0.00014, + "01110011": 0.00183, + "01110100": 2e-05, + "01110101": 0.00407, + "01110110": 5e-05, + "01111001": 0.00287, + "01111010": 4e-05, "01111011": 4e-05, - "01111101": 0.00011, - "10000011": 7e-05, - "10000101": 9e-05, - "10000111": 3e-05, - "10001001": 0.00019, - "10001011": 0.00099, - "10001100": 1e-05, - "10001101": 0.00178, - "10001110": 1e-05, - "10010001": 5e-05, - "10010011": 0.00113, - "10010101": 0.00271, + "01111101": 8e-05, + "10000011": 0.0001, + "10000101": 7e-05, + "10000111": 4e-05, + "10001001": 0.00016, + "10001011": 0.00084, + "10001101": 0.00189, + "10001110": 2e-05, + "10010001": 2e-05, + "10010011": 0.0008, + "10010101": 0.00274, "10010110": 4e-05, "10010111": 1e-05, - "10011001": 0.00217, - "10011010": 5e-05, - "10011011": 4e-05, - "10011101": 0.00014, - "10100001": 1e-05, - "10100011": 0.00048, - "10100100": 1e-05, - "10100101": 0.00177, - "10100111": 1e-05, - "10101001": 0.00112, - "10101010": 1e-05, - "10110001": 4e-05, - "10110011": 6e-05, - "10110101": 8e-05, - "10111001": 5e-05, - "11000011": 4e-05, - "11000101": 0.00011, - "11000110": 1e-05, - "11001001": 8e-05, + "10011001": 0.00163, + "10011010": 2e-05, + "10011011": 5e-05, + "10011101": 0.0001, + "10011110": 1e-05, + "10100001": 3e-05, + "10100011": 0.00086, + "10100101": 0.0017, + "10100110": 7e-05, + "10101001": 0.001, + "10110001": 9e-05, + "10110011": 2e-05, + "10110101": 5e-05, + "10111001": 7e-05, + "10111011": 1e-05, + "11000011": 2e-05, + "11000101": 5e-05, + "11001001": 4e-05, "11010001": 1e-05, - "11011001": 2e-05 + "11010101": 6e-05, + "11011001": 3e-05, + "11101001": 1e-05 }, "Heisenberg - Qubits9": { - "000101101": 3e-05, + "000101011": 1e-05, + "000101101": 1e-05, "000110011": 1e-05, "000110101": 1e-05, - "000111001": 1e-05, - "001001011": 1e-05, - "001001101": 2e-05, - "001010011": 1e-05, - "001010101": 2e-05, + "000111001": 5e-05, + "001001101": 1e-05, + "001010101": 1e-05, "001011001": 1e-05, - "001100101": 4e-05, - "001101001": 1e-05, - "001101011": 1e-05, - "001101101": 1e-05, + "001101001": 3e-05, + "001101010": 1e-05, "001110011": 1e-05, - "001110101": 1e-05, + "001110101": 2e-05, "001111001": 1e-05, - "010000101": 1e-05, - "010001011": 3e-05, - "010001101": 3e-05, - "010010011": 6e-05, - "010010101": 0.00016, - "010011001": 0.0001, - "010011101": 1e-05, - "010100011": 1e-05, - "010100101": 2e-05, + "010001011": 1e-05, + "010001101": 5e-05, + "010010011": 2e-05, + "010010101": 0.00011, + "010010111": 1e-05, + "010011001": 7e-05, + "010011011": 1e-05, + "010011101": 2e-05, "010100111": 1e-05, - "010101011": 0.00027, - "010101101": 0.00067, + "010101001": 1e-05, + "010101011": 0.00035, + "010101101": 0.00086, "010101110": 1e-05, - "010110001": 5e-05, + "010110001": 4e-05, "010110011": 0.00047, - "010110101": 0.0011, + "010110101": 0.00132, "010110110": 1e-05, - "010111001": 0.00089, + "010111001": 0.00084, "010111010": 1e-05, - "010111011": 1e-05, - "010111101": 3e-05, - "010111110": 1e-05, + "010111011": 2e-05, + "010111101": 4e-05, "011000011": 2e-05, - "011000101": 3e-05, - "011000111": 3e-05, - "011001001": 0.00011, - "011001011": 0.00053, - "011001101": 0.00097, + "011000101": 4e-05, + "011000111": 1e-05, + "011001001": 0.00012, + "011001011": 0.00052, + "011001101": 0.00118, "011001110": 1e-05, - "011010001": 2e-05, - "011010011": 0.00056, - "011010101": 0.00156, + "011010001": 3e-05, + "011010011": 0.00059, + "011010101": 0.00159, "011010110": 4e-05, - "011011001": 0.00098, - "011011010": 1e-05, + "011011001": 0.00121, "011011011": 3e-05, - "011011101": 5e-05, - "011100001": 4e-05, - "011100011": 0.00046, - "011100101": 0.00127, + "011011101": 4e-05, + "011011110": 1e-05, + "011100011": 0.00075, + "011100101": 0.0013, "011100110": 2e-05, - "011101001": 0.00087, + "011100111": 1e-05, + "011101001": 0.00092, "011101010": 1e-05, - "011110001": 4e-05, - "011110011": 2e-05, - "011110101": 4e-05, - "011111001": 3e-05, - "011111011": 1e-05, + "011110001": 5e-05, + "011110101": 1e-05, + "011111001": 5e-05, "100000011": 1e-05, - "100000101": 2e-05, + "100000101": 4e-05, "100000111": 1e-05, - "100001001": 6e-05, - "100001011": 0.0005, - "100001101": 0.00092, + "100001001": 0.0001, + "100001011": 0.00049, + "100001101": 0.00098, + "100001110": 2e-05, "100001111": 1e-05, "100010001": 2e-05, - "100010011": 0.00096, - "100010101": 0.00232, - "100010110": 3e-05, - "100010111": 5e-05, - "100011001": 0.00211, - "100011011": 0.0006, - "100011101": 0.0012, - "100011110": 3e-05, - "100100001": 1e-05, - "100100011": 4e-05, - "100100101": 0.00018, - "100100111": 0.00068, - "100101001": 0.00134, - "100101011": 0.02005, - "100101100": 3e-05, - "100101101": 0.04632, - "100101110": 0.00062, - "100101111": 1e-05, - "100110001": 0.00102, - "100110011": 0.02656, - "100110100": 3e-05, - "100110101": 0.0662, - "100110110": 0.00077, - "100110111": 5e-05, - "100111000": 1e-05, - "100111001": 0.0516, - "100111010": 0.00088, - "100111011": 0.00121, - "100111100": 2e-05, - "100111101": 0.00231, - "100111110": 6e-05, - "101000001": 6e-05, - "101000011": 0.0013, - "101000101": 0.00244, - "101000110": 2e-05, - "101000111": 0.00093, - "101001000": 1e-05, - "101001001": 0.00619, - "101001010": 7e-05, - "101001011": 0.02786, - "101001100": 4e-05, - "101001101": 0.05811, - "101001110": 0.00091, - "101001111": 0.0001, - "101010001": 0.00139, - "101010011": 0.03564, - "101010100": 4e-05, - "101010101": 0.10059, - "101010110": 0.00131, - "101010111": 0.00017, - "101011000": 3e-05, - "101011001": 0.06295, - "101011010": 0.00107, - "101011011": 0.00172, - "101011100": 6e-05, - "101011101": 0.00412, - "101011110": 4e-05, - "101011111": 1e-05, - "101100001": 0.00111, - "101100011": 0.03043, - "101100100": 3e-05, - "101100101": 0.06814, - "101100110": 0.00104, - "101100111": 0.00011, + "100010011": 0.00087, + "100010101": 0.00219, + "100010110": 1e-05, + "100010111": 3e-05, + "100011001": 0.00188, + "100011010": 2e-05, + "100011011": 0.0005, + "100011101": 0.00121, + "100100011": 5e-05, + "100100101": 9e-05, + "100100111": 0.00045, + "100101001": 0.00145, + "100101011": 0.01979, + "100101101": 0.04533, + "100101110": 0.0008, + "100101111": 8e-05, + "100110001": 0.0011, + "100110011": 0.02651, + "100110100": 2e-05, + "100110101": 0.06674, + "100110110": 0.00067, + "100110111": 7e-05, + "100111000": 3e-05, + "100111001": 0.05313, + "100111010": 0.00083, + "100111011": 0.0011, + "100111100": 6e-05, + "100111101": 0.00232, + "100111110": 3e-05, + "101000001": 1e-05, + "101000011": 0.00118, + "101000101": 0.00235, + "101000110": 5e-05, + "101000111": 0.00105, + "101001001": 0.00575, + "101001010": 6e-05, + "101001011": 0.029, + "101001100": 2e-05, + "101001101": 0.05748, + "101001110": 0.00085, + "101001111": 7e-05, + "101010001": 0.00148, + "101010011": 0.03584, + "101010100": 2e-05, + "101010101": 0.10075, + "101010110": 0.00114, + "101010111": 0.00014, + "101011000": 1e-05, + "101011001": 0.06355, + "101011010": 0.00098, + "101011011": 0.00182, + "101011100": 0.0001, + "101011101": 0.00409, + "101011110": 5e-05, + "101100001": 0.00094, + "101100011": 0.03014, + "101100100": 2e-05, + "101100101": 0.06898, + "101100110": 0.00086, + "101100111": 4e-05, "101101000": 1e-05, - "101101001": 0.04606, - "101101010": 0.00072, - "101101011": 6e-05, - "101101100": 2e-05, - "101101101": 2e-05, - "101110001": 0.00399, - "101110010": 4e-05, - "101110011": 0.00105, - "101110101": 0.00274, + "101101001": 0.04633, + "101101010": 0.00068, + "101101011": 2e-05, + "101101100": 4e-05, + "101101101": 4e-05, + "101110001": 0.00433, + "101110010": 5e-05, + "101110011": 0.00103, + "101110101": 0.0026, "101110110": 1e-05, - "101111001": 0.00187, - "101111010": 4e-05, - "101111011": 1e-05, - "101111101": 5e-05, - "110000001": 3e-05, - "110000011": 0.00074, - "110000101": 0.0018, - "110000110": 7e-05, - "110000111": 0.00078, - "110001001": 0.00436, - "110001010": 5e-05, - "110001011": 0.02019, - "110001100": 5e-05, - "110001101": 0.04074, - "110001110": 0.00056, - "110001111": 7e-05, - "110010001": 0.00069, - "110010011": 0.02039, - "110010101": 0.06059, - "110010110": 0.00077, - "110010111": 3e-05, + "101111001": 0.0018, + "101111010": 1e-05, + "101111011": 4e-05, + "101111101": 6e-05, + "110000001": 5e-05, + "110000011": 0.00075, + "110000101": 0.00151, + "110000110": 1e-05, + "110000111": 0.00082, + "110001001": 0.00406, + "110001010": 3e-05, + "110001011": 0.0208, + "110001100": 3e-05, + "110001101": 0.04167, + "110001110": 0.00079, + "110001111": 3e-05, + "110010001": 0.0008, + "110010011": 0.02069, + "110010100": 1e-05, + "110010101": 0.05975, + "110010110": 0.00074, + "110010111": 6e-05, "110011000": 1e-05, - "110011001": 0.04216, - "110011010": 0.0007, - "110011011": 0.00121, - "110011100": 3e-05, - "110011101": 0.00259, - "110011110": 7e-05, - "110100001": 0.00043, - "110100011": 0.01714, - "110100100": 2e-05, - "110100101": 0.03984, - "110100110": 0.00049, - "110101001": 0.02352, - "110101010": 0.00033, - "110101011": 6e-05, - "110101100": 2e-05, - "110101101": 3e-05, + "110011001": 0.04173, + "110011010": 0.00056, + "110011011": 0.00103, + "110011101": 0.00268, + "110011110": 1e-05, + "110100001": 0.00049, + "110100011": 0.01627, + "110100100": 1e-05, + "110100101": 0.03835, + "110100110": 0.00044, + "110100111": 7e-05, + "110101001": 0.02436, + "110101010": 0.00024, + "110101011": 3e-05, + "110101100": 1e-05, + "110101101": 4e-05, "110101110": 1e-05, - "110110001": 0.00237, + "110110001": 0.00221, "110110010": 3e-05, - "110110011": 0.00055, - "110110101": 0.00158, - "110110110": 4e-05, - "110111001": 0.00127, - "110111010": 3e-05, - "110111101": 5e-05, + "110110011": 0.00069, + "110110101": 0.00154, + "110110111": 1e-05, + "110111001": 0.00122, + "110111101": 4e-05, "111000001": 6e-05, "111000011": 0.00152, - "111000101": 0.00308, + "111000101": 0.00295, "111000110": 3e-05, - "111001000": 1e-05, - "111001001": 0.00195, - "111001010": 7e-05, - "111001011": 5e-05, - "111001101": 9e-05, - "111010001": 0.00033, - "111010011": 0.00015, + "111001001": 0.00178, + "111001010": 2e-05, + "111001011": 6e-05, + "111001100": 1e-05, + "111001101": 5e-05, + "111010001": 0.00021, + "111010011": 7e-05, "111010101": 0.00031, - "111010110": 1e-05, - "111011001": 0.00013, - "111011101": 1e-05, - "111100011": 5e-05, - "111100101": 8e-05, + "111011001": 0.00018, + "111011011": 1e-05, + "111100001": 1e-05, + "111100101": 5e-05, "111101001": 3e-05, "111110101": 1e-05 }, "TFIM - Qubits10": { - "0000000000": 0.49055, - "0000000001": 0.00064, + "0000000000": 0.49406, + "0000000001": 0.00099, "0000000010": 0.00066, - "0000000100": 0.00077, - "0000001000": 0.00075, - "0000010000": 0.00075, - "0000100000": 0.00075, - "0000110000": 1e-05, + "0000000100": 0.00067, + "0000001000": 0.00062, + "0000010000": 0.00077, + "0000100000": 0.00066, "0001000000": 0.00062, - "0010000000": 0.00088, - "0100000000": 0.00067, - "0100010000": 1e-05, - "0101000000": 1e-05, + "0010000000": 0.00056, + "0010100000": 1e-05, + "0100000000": 0.00065, + "0100001000": 1e-05, + "0100100000": 1e-05, "0101111111": 1e-05, - "0111111111": 0.0008, - "1000000000": 0.00081, - "1000000001": 1e-05, - "1011111111": 0.00068, + "0111111111": 0.00074, + "1000000000": 0.00083, + "1000000100": 1e-05, + "1001111111": 1e-05, + "1011111111": 0.00064, "1101111110": 1e-05, - "1101111111": 0.00058, - "1110111111": 0.00075, - "1111011111": 0.00075, - "1111101111": 0.00065, - "1111110011": 1e-05, - "1111110111": 0.00076, - "1111111011": 0.00059, - "1111111101": 0.00066, - "1111111110": 0.00071, - "1111111111": 0.49515 + "1101111111": 0.00072, + "1110111111": 0.00067, + "1111011111": 0.00073, + "1111101111": 0.00069, + "1111110111": 0.00088, + "1111111010": 1e-05, + "1111111011": 0.00075, + "1111111101": 0.00062, + "1111111110": 0.0008, + "1111111111": 0.49159 }, "TFIM - Qubits11": { - "00000000000": 0.4897, - "00000000001": 0.00078, - "00000000010": 0.00068, - "00000000100": 0.0007, - "00000001000": 0.0008, - "00000001001": 1e-05, - "00000010000": 0.00069, - "00000010100": 1e-05, - "00000100000": 0.00077, - "00001000000": 0.00074, - "00001010000": 1e-05, - "00010000000": 0.00073, - "00011000000": 1e-05, - "00100000000": 0.00063, - "00110000000": 1e-05, - "01000000000": 0.00078, - "01000000010": 1e-05, - "01000000100": 1e-05, - "01101111111": 1e-05, - "01111111111": 0.00089, - "10000000000": 0.00087, - "10111111110": 1e-05, + "00000000000": 0.49367, + "00000000001": 0.00085, + "00000000010": 0.00079, + "00000000100": 0.00077, + "00000000101": 1e-05, + "00000001000": 0.00069, + "00000001100": 1e-05, + "00000010000": 0.00059, + "00000100000": 0.00065, + "00001000000": 0.00065, + "00001000001": 1e-05, + "00001100000": 1e-05, + "00010000000": 0.00052, + "00100000000": 0.00082, + "01000000000": 0.00074, + "01111011111": 1e-05, + "01111101111": 1e-05, + "01111111111": 0.00066, + "10000000000": 0.00085, + "10000000001": 1e-05, + "10001000000": 1e-05, + "10110111111": 1e-05, "10111111111": 0.00068, - "11011111111": 0.00068, - "11100111111": 1e-05, - "11101011111": 1e-05, - "11101111011": 1e-05, - "11101111111": 0.00077, - "11110111111": 0.00073, - "11111011111": 0.0008, - "11111100111": 1e-05, - "11111101111": 0.00062, - "11111110111": 0.00069, - "11111111011": 0.00066, - "11111111101": 0.00064, - "11111111110": 0.00061, - "11111111111": 0.49423 + "11011111111": 0.00062, + "11101111111": 0.00075, + "11110111011": 1e-05, + "11110111110": 1e-05, + "11110111111": 0.00062, + "11111011111": 0.00065, + "11111101111": 0.00071, + "11111110111": 0.0006, + "11111111011": 0.00069, + "11111111101": 0.00084, + "11111111110": 0.00074, + "11111111111": 0.49074 }, "TFIM - Qubits12": { - "000000000000": 0.49011, - "000000000001": 0.00067, - "000000000010": 0.00063, - "000000000011": 1e-05, - "000000000100": 0.00079, - "000000000101": 1e-05, - "000000001000": 0.00065, - "000000010000": 0.00059, - "000000100000": 0.00062, - "000000100001": 1e-05, - "000001000000": 0.00097, - "000001000100": 1e-05, - "000010000000": 0.00083, - "000100000000": 0.00092, - "001000000000": 0.00066, - "001111111111": 1e-05, - "010000000000": 0.00069, - "010010000000": 1e-05, - "011111101111": 1e-05, - "011111111011": 1e-05, - "011111111111": 0.00086, - "100000000000": 0.00067, - "100000000001": 1e-05, - "101111111111": 0.00066, - "110111101111": 1e-05, - "110111111011": 1e-05, - "110111111110": 1e-05, - "110111111111": 0.00063, - "111011111111": 0.00064, - "111101011111": 1e-05, - "111101101111": 1e-05, - "111101111011": 1e-05, - "111101111111": 0.00075, - "111110110111": 1e-05, - "111110111011": 1e-05, - "111110111110": 1e-05, - "111110111111": 0.00083, - "111111011111": 0.00065, - "111111100111": 1e-05, - "111111101111": 0.00066, - "111111110111": 0.00079, - "111111111010": 1e-05, - "111111111011": 0.00084, - "111111111101": 0.00063, - "111111111110": 0.00085, - "111111111111": 0.49221 + "000000000000": 0.48999, + "000000000001": 0.00081, + "000000000010": 0.00059, + "000000000100": 0.00071, + "000000001000": 0.00066, + "000000010000": 0.00074, + "000000100000": 0.00063, + "000001000000": 0.00082, + "000010000000": 0.00073, + "000010000010": 1e-05, + "000100000000": 0.0008, + "001000000000": 0.00068, + "001000100000": 1e-05, + "010000000000": 0.00074, + "011111011111": 1e-05, + "011111111111": 0.00082, + "100000000000": 0.00075, + "101101111111": 1e-05, + "101111111101": 1e-05, + "101111111111": 0.0006, + "110111111111": 0.00083, + "111011011111": 1e-05, + "111011111111": 0.00065, + "111101111111": 0.00052, + "111110111111": 0.00061, + "111111011111": 0.00073, + "111111101111": 0.00069, + "111111110111": 0.00064, + "111111111011": 0.00071, + "111111111101": 0.00078, + "111111111110": 0.00064, + "111111111111": 0.49307 }, "TFIM - Qubits2": { - "00": 0.498, - "01": 0.00329, - "10": 0.00299, - "11": 0.49572 + "00": 0.49859, + "01": 0.00267, + "10": 0.00294, + "11": 0.4958 }, "TFIM - Qubits3": { - "000": 0.49827, - "001": 0.0008, - "010": 0.00059, - "011": 0.00075, - "100": 0.00075, - "101": 0.00057, - "110": 0.00071, - "111": 0.49756 + "000": 0.49794, + "001": 0.00088, + "010": 0.00064, + "011": 0.00071, + "100": 0.00087, + "101": 0.00069, + "110": 0.00079, + "111": 0.49748 }, "TFIM - Qubits4": { - "0000": 0.49587, - "0001": 0.00086, - "0010": 0.00046, - "0100": 0.0007, - "0101": 1e-05, - "0111": 0.00084, - "1000": 0.00078, - "1011": 0.00068, - "1101": 0.00063, - "1110": 0.00082, - "1111": 0.49835 + "0000": 0.49673, + "0001": 0.00062, + "0010": 0.0006, + "0100": 0.00086, + "0111": 0.00072, + "1000": 0.00077, + "1010": 1e-05, + "1011": 0.00072, + "1100": 2e-05, + "1101": 0.00076, + "1110": 0.00095, + "1111": 0.49724 }, "TFIM - Qubits5": { - "00000": 0.49463, - "00001": 0.0006, - "00010": 0.00073, - "00100": 0.00074, - "01000": 0.00086, - "01001": 1e-05, - "01111": 0.00068, - "10000": 0.00094, - "10110": 1e-05, - "10111": 0.00076, - "11011": 0.00084, - "11101": 0.0007, - "11110": 0.00092, - "11111": 0.49758 + "00000": 0.49582, + "00001": 0.00075, + "00010": 0.0006, + "00100": 0.00068, + "01000": 0.00053, + "01111": 0.00066, + "10000": 0.00065, + "10001": 1e-05, + "10010": 1e-05, + "10111": 0.00063, + "11010": 1e-05, + "11011": 0.00057, + "11101": 0.00076, + "11110": 0.00089, + "11111": 0.49743 }, "TFIM - Qubits6": { - "000000": 0.49785, - "000001": 0.00061, - "000010": 0.00074, - "000100": 0.00073, - "000110": 2e-05, - "001000": 0.00064, - "010000": 0.00076, - "011110": 1e-05, - "011111": 0.00079, - "100000": 0.00064, - "101101": 1e-05, - "101111": 0.00049, - "110111": 0.00057, - "111011": 0.00072, - "111100": 1e-05, - "111101": 0.00054, - "111110": 0.0006, - "111111": 0.49427 + "000000": 0.49661, + "000001": 0.00071, + "000010": 0.00058, + "000100": 0.00072, + "000110": 1e-05, + "001000": 0.00065, + "010000": 0.00069, + "011111": 0.00076, + "100000": 0.00082, + "100110": 1e-05, + "101111": 0.00078, + "110111": 0.00069, + "111011": 0.00063, + "111101": 0.00069, + "111110": 0.00077, + "111111": 0.49488 }, "TFIM - Qubits7": { - "0000000": 0.49562, - "0000001": 0.00079, - "0000010": 0.00083, - "0000100": 0.00064, - "0001000": 0.00074, - "0010000": 0.00073, - "0100000": 0.00055, - "0110111": 1e-05, - "0111111": 0.00076, - "1000000": 0.00083, - "1011111": 0.00064, - "1101111": 0.00068, - "1110011": 1e-05, - "1110111": 0.00063, - "1111011": 0.00068, - "1111101": 0.00069, - "1111110": 0.00075, - "1111111": 0.49442 + "0000000": 0.49523, + "0000001": 0.00084, + "0000010": 0.00053, + "0000011": 1e-05, + "0000100": 0.00084, + "0001000": 0.00064, + "0001010": 1e-05, + "0010000": 0.00079, + "0100000": 0.0007, + "0111101": 2e-05, + "0111111": 0.00069, + "1000000": 0.00079, + "1010111": 1e-05, + "1011111": 0.0007, + "1100111": 1e-05, + "1101111": 0.0008, + "1110110": 1e-05, + "1110111": 0.00053, + "1111011": 0.00079, + "1111101": 0.00071, + "1111110": 0.00067, + "1111111": 0.49468 }, "TFIM - Qubits8": { - "00000000": 0.49672, - "00000001": 0.00069, - "00000010": 0.00073, - "00000100": 0.00074, - "00001000": 0.00072, - "00010000": 0.00076, - "00100000": 0.00071, - "00101000": 1e-05, - "00110000": 1e-05, - "01000000": 0.00078, - "01000010": 1e-05, - "01110111": 1e-05, - "01111011": 1e-05, - "01111110": 1e-05, - "01111111": 0.0007, - "10000000": 0.00082, - "10000001": 1e-05, + "00000000": 0.49161, + "00000001": 0.00078, + "00000010": 0.00051, + "00000011": 1e-05, + "00000100": 0.00075, + "00001000": 0.00068, + "00010000": 0.00079, + "00010001": 1e-05, + "00011000": 1e-05, + "00100000": 0.00059, + "01000000": 0.00089, + "01011111": 1e-05, + "01111111": 0.00086, + "10000000": 0.00071, + "10100000": 1e-05, "10101111": 1e-05, - "10111111": 0.00063, - "11011011": 1e-05, - "11011111": 0.00065, - "11101011": 1e-05, - "11101111": 0.00064, - "11110011": 1e-05, - "11110111": 0.00068, - "11111011": 0.00086, - "11111101": 0.00076, - "11111110": 0.00079, - "11111111": 0.49151 + "10111110": 1e-05, + "10111111": 0.00071, + "11001111": 1e-05, + "11011111": 0.00066, + "11101101": 2e-05, + "11101111": 0.0008, + "11110111": 0.00085, + "11111010": 1e-05, + "11111011": 0.00057, + "11111101": 0.00067, + "11111110": 0.00075, + "11111111": 0.49671 }, "TFIM - Qubits9": { - "000000000": 0.49263, - "000000001": 0.00088, - "000000010": 0.00063, + "000000000": 0.49302, + "000000001": 0.00086, + "000000010": 0.00073, "000000011": 1e-05, - "000000100": 0.00076, - "000001000": 0.00056, - "000010000": 0.00073, - "000100000": 0.00073, + "000000100": 0.00062, + "000001000": 0.00057, + "000010000": 0.00065, + "000100000": 0.0006, "000100001": 1e-05, - "001000000": 0.00076, - "001010000": 1e-05, - "001111111": 1e-05, - "010000000": 0.00066, - "010111111": 1e-05, - "011111111": 0.00091, - "100000000": 0.00087, - "100000001": 1e-05, - "101110111": 1e-05, - "101111111": 0.00068, - "110011111": 1e-05, - "110111111": 0.00064, - "111010111": 2e-05, - "111011111": 0.00084, - "111101011": 1e-05, - "111101111": 0.0007, + "001000000": 0.00074, + "001000010": 1e-05, + "001100000": 1e-05, + "010000000": 0.00078, + "010000011": 1e-05, + "010010000": 1e-05, + "011000000": 1e-05, + "011111111": 0.00071, + "100000000": 0.00078, + "100100000": 1e-05, + "101111101": 1e-05, + "101111111": 0.00079, + "110101111": 1e-05, + "110111111": 0.00057, + "111011101": 1e-05, + "111011111": 0.00069, + "111101111": 0.00067, "111110011": 1e-05, - "111110110": 1e-05, - "111110111": 0.00068, - "111111011": 0.00059, - "111111101": 0.00079, - "111111110": 0.00068, + "111110111": 0.00071, + "111111011": 0.00072, + "111111101": 0.00063, + "111111110": 0.00089, "111111111": 0.49415 }, "hx": [ diff --git a/hamiltonian-simulation/qiskit/HellingerVsTime.ipynb b/hamiltonian-simulation/qiskit/HellingerVsTime.ipynb index 4a0a936c..3604b289 100644 --- a/hamiltonian-simulation/qiskit/HellingerVsTime.ipynb +++ b/hamiltonian-simulation/qiskit/HellingerVsTime.ipynb @@ -1,5 +1,28 @@ { "cells": [ + { + "cell_type": "markdown", + "id": "7007f489-1d8c-4864-9a32-69bd8d7409df", + "metadata": {}, + "source": [ + "# Hellinger Fidelity and Distance Analysis\n", + "\n", + "This notebook performs an analysis of Hellinger fidelity and distance for the Transverse Field Ising Model (TFIM) and Heisenberg Hamiltonians. The analysis leverages both classical exact calculations and quantum trotterization steps.\n", + "\n", + "**To run the notebook correctly, run the cells in order from top-to-bottom.** \n", + "\n", + "The notebook produces four main plots:\n", + "\n", + "1. **Hellinger Fidelity at Each Time Step**: Comparing the classical exact simulation to the trotterized simulation.\n", + "2. **Hellinger Distance from Initial State (Quantum Trotterization)**: Tracking the distance using quantum trotterization steps.\n", + "3. **Hellinger Distance from Initial State (Classical Calculation)**: Utilizing many small time steps for precise calculations.\n", + "4. **Combined Plot**: Overlaying the results from the quantum trotterization and classical calculations on the same axis for comparison.\n", + "\n", + "Note that only plot 1 is directly relevant to benchmarking and is similar to method 2 in the primary benchmarking code.\n", + "\n", + "Plots 2-4, while offering insight into state evolution, are not intended to serve as performance metrics. Instead, they are an example of a simple way to track state evolution against time. " + ] + }, { "cell_type": "code", "execution_count": null, @@ -8,213 +31,20 @@ "outputs": [], "source": [ "import sys\n", - "\n", "import numpy as np\n", "from qiskit_aer import Aer\n", "from qiskit_aer.noise import NoiseModel, depolarizing_error\n", + "from qiskit_aer.primitives import Sampler\n", "from qiskit_algorithms import SciPyRealEvolver, TimeEvolutionProblem\n", - "\n", - "import hamiltonian_simulation_kernel as ham\n", "from qiskit import QuantumCircuit, transpile\n", "from qiskit.quantum_info import SparsePauliOp, hellinger_distance, hellinger_fidelity\n", - "\n", - "import matplotlib.pyplot as plt\n", - "from qiskit_aer.primitives import Sampler\n", "from qiskit.visualization import plot_distribution\n", + "import matplotlib.pyplot as plt\n", "\n", - "def initial_state(n_spins: int, initial_state: str = \"checker\") -> QuantumCircuit:\n", - " \"\"\"\n", - " Initialize the quantum state.\n", - "\n", - " Dev note: This function is copy/pasted from HamiltonianSimulation.\n", - "\n", - " Args:\n", - " n_spins (int): Number of spins (qubits).\n", - " initial_state (str): The chosen initial state. By default applies the checkerboard state, but can also be set to \"ghz\", the GHZ state.\n", - "\n", - " Returns:\n", - " QuantumCircuit: The initialized quantum circuit.\n", - " \"\"\"\n", - " qc = QuantumCircuit(n_spins)\n", - "\n", - " if (\n", - " initial_state.strip().lower() == \"checkerboard\"\n", - " or initial_state.strip().lower() == \"neele\"\n", - " ):\n", - " # Checkerboard state, or \"Neele\" state\n", - " for k in range(0, n_spins, 2):\n", - " qc.x([k])\n", - " elif initial_state.strip().lower() == \"ghz\":\n", - " # GHZ state: 1/sqrt(2) (|00...> + |11...>)\n", - " qc.h(0)\n", - " for k in range(1, n_spins):\n", - " qc.cx(k - 1, k)\n", - "\n", - " return qc\n", - "\n", - "\n", - "def construct_TFIM_hamiltonian(n_spins: int) -> SparsePauliOp:\n", - " \"\"\"\n", - " Construct the Transverse Field Ising Model (TFIM) Hamiltonian.\n", - "\n", - " Args:\n", - " n_spins (int): Number of spins (qubits).\n", - "\n", - " Returns:\n", - " SparsePauliOp: The Hamiltonian represented as a sparse Pauli operator.\n", - " \"\"\"\n", - " pauli_strings = []\n", - " coefficients = []\n", - " g = 1 # Strength of the transverse field\n", - "\n", - " # Pauli spin vector product terms\n", - " for i in range(n_spins):\n", - " x_term = \"I\" * i + \"X\" + \"I\" * (n_spins - i - 1)\n", - " pauli_strings.append(x_term)\n", - " coefficients.append(g)\n", - "\n", - " identity_string = [\"I\"] * n_spins\n", - "\n", - " # ZZ operation on each pair of qubits in a linear chain\n", - " for j in range(2):\n", - " for i in range(j % 2, n_spins - 1, 2):\n", - " zz_term = identity_string.copy()\n", - " zz_term[i] = \"Z\"\n", - " zz_term[(i + 1) % n_spins] = \"Z\"\n", - " zz_term = \"\".join(zz_term)\n", - " pauli_strings.append(zz_term)\n", - " coefficients.append(1.0)\n", - "\n", - " return SparsePauliOp.from_list(zip(pauli_strings, coefficients))\n", - "\n", - "\n", - "def construct_heisenberg_hamiltonian(\n", - " n_spins: int, w: int, hx: list[float], hz: list[float]\n", - ") -> SparsePauliOp:\n", - " \"\"\"\n", - " Construct the Heisenberg Hamiltonian with disorder.\n", - "\n", - " Args:\n", - " n_spins (int): Number of spins (qubits).\n", - " w (float): Strength of two-qubit interactions for heisenberg hamiltonian.\n", - " hx (list[float]): Strength of internal disorder parameter for heisenberg hamiltonian.\n", - " hz (list[float]): Strength of internal disorder parameter for heisenberg hamiltonian.\n", - "\n", - " Returns:\n", - " SparsePauliOp: The Hamiltonian represented as a sparse Pauli operator.\n", - " \"\"\"\n", - "\n", - " pauli_strings = []\n", - " coefficients = []\n", - "\n", - " # Disorder terms\n", - " for i in range(n_spins):\n", - " x_term = \"I\" * i + \"X\" + \"I\" * (n_spins - i - 1)\n", - " z_term = \"I\" * i + \"Z\" + \"I\" * (n_spins - i - 1)\n", - " pauli_strings.append(x_term)\n", - " coefficients.append(w * hx[i])\n", - " pauli_strings.append(z_term)\n", - " coefficients.append(w * hz[i])\n", - "\n", - " identity_string = [\"I\"] * n_spins\n", - "\n", - " # Interaction terms\n", - " for j in range(2):\n", - " for i in range(j % 2, n_spins - 1, 2):\n", - " xx_term = identity_string.copy()\n", - " yy_term = identity_string.copy()\n", - " zz_term = identity_string.copy()\n", - "\n", - " xx_term[i] = \"X\"\n", - " xx_term[(i + 1) % n_spins] = \"X\"\n", - "\n", - " yy_term[i] = \"Y\"\n", - " yy_term[(i + 1) % n_spins] = \"Y\"\n", - "\n", - " zz_term[i] = \"Z\"\n", - " zz_term[(i + 1) % n_spins] = \"Z\"\n", - "\n", - " pauli_strings.append(\"\".join(xx_term))\n", - " coefficients.append(1.0)\n", - " pauli_strings.append(\"\".join(yy_term))\n", - " coefficients.append(1.0)\n", - " pauli_strings.append(\"\".join(zz_term))\n", - " coefficients.append(1.0)\n", - "\n", - " return SparsePauliOp.from_list(zip(pauli_strings, coefficients))\n", - "\n", - "\n", - "def construct_hamiltonian(\n", - " n_spins: int, hamiltonian: str, w: float, hx: list[float], hz: list[float]\n", - ") -> SparsePauliOp:\n", - " \"\"\"\n", - " Construct the Hamiltonian based on the specified method.\n", - "\n", - " Args:\n", - " n_spins (int): Number of spins (qubits).\n", - " hamiltonian (str): Which hamiltonian to run. \"heisenberg\" by default but can also choose \"TFIM\".\n", - " w (float): Strength of two-qubit interactions for heisenberg hamiltonian.\n", - " hx (list[float]): Strength of internal disorder parameter for heisenberg hamiltonian.\n", - " hz (list[float]): Strength of internal disorder parameter for heisenberg hamiltonian.\n", - "\n", - " Returns:\n", - " SparsePauliOp: The constructed Hamiltonian.\n", - " \"\"\"\n", - "\n", - " hamiltonian = hamiltonian.strip().lower()\n", - "\n", - " if hamiltonian == \"heisenberg\":\n", - " return construct_heisenberg_hamiltonian(n_spins, w, hx, hz)\n", - " elif hamiltonian == \"tfim\":\n", - " return construct_TFIM_hamiltonian(n_spins)\n", - " else:\n", - " raise ValueError(\"Invalid Hamiltonian specification.\")\n", - "\n", - "\n", - "def HamiltonianSimulationExact(\n", - " n_spins: int,\n", - " t: float,\n", - " init_state: str,\n", - " hamiltonian: str,\n", - " w: float,\n", - " hx: list[float],\n", - " hz: list[float],\n", - ") -> dict:\n", - " \"\"\"\n", - " Perform exact Hamiltonian simulation using classical matrix evolution.\n", - "\n", - " Args:\n", - " n_spins (int): Number of spins (qubits).\n", - " t (float): Duration of simulation.\n", - " init_state (str): The chosen initial state. By default applies the checkerboard state, but can also be set to \"ghz\", the GHZ state.\n", - " hamiltonian (str): Which hamiltonian to run. \"heisenberg\" by default but can also choose \"TFIM\".\n", - " w (float): Strength of two-qubit interactions for heisenberg hamiltonian.\n", - " hx (list[float]): Strength of internal disorder parameter for heisenberg hamiltonian.\n", - " hz (list[float]): Strength of internal disorder parameter for heisenberg hamiltonian.\n", - "\n", - " Returns:\n", - " dict: The distribution of the evolved state.\n", - " \"\"\"\n", - " hamiltonian_sparse = construct_hamiltonian(n_spins, hamiltonian, w, hx, hz)\n", - " time_problem = TimeEvolutionProblem(\n", - " hamiltonian_sparse, t, initial_state=initial_state(n_spins, init_state)\n", - " )\n", - " result = SciPyRealEvolver(num_timesteps=1).evolve(time_problem)\n", - " return result.evolved_state.probabilities_dict()\n", - "\n", - "\n", - "def create_noise_model(fidelity):\n", - "\n", - " if fidelity == 1:\n", - " return None\n", - " else:\n", - " p = 15 / 4 * (1 - fidelity)\n", - " noise_model = NoiseModel()\n", - " depolarizing_err = depolarizing_error(p, 2) # 2-qubit depolarizing error\n", - " noise_model.add_all_qubit_quantum_error(\n", - " depolarizing_err, [\"cx\"]\n", - " ) # Apply to CNOT gates\n", - " return noise_model\n", + "# Adjusting the path for custom imports\n", + "sys.path[1:1] = [\"../_common\", \"../../_common/qiskit\"]\n", + "import hamiltonian_simulation_kernel as ham\n", + "from hamiltonian_simulation_exact import HamiltonianSimulationExact\n", "\n", "\n", "\n", @@ -241,7 +71,16 @@ "\n", "\n", "def get_init_state_distribution(n_spins, hamiltonian):\n", + " \"\"\"\n", + " Generates the initial state probability distribution based on the Hamiltonian.\n", + "\n", + " Parameters:\n", + " - n_spins (int): Number of spins (qubits) in the system.\n", + " - hamiltonian (str): Type of Hamiltonian (e.g., \"tfim\" for Transverse Field Ising Model).\n", "\n", + " Returns:\n", + " - dict: The probability distribution of the initial state.\n", + " \"\"\"\n", " if hamiltonian.lower().strip() == \"tfim\":\n", " init_state = \"ghz\"\n", " else:\n", @@ -255,7 +94,19 @@ "\n", "\n", "def get_dist_at_timestep(step, K, max_time, hamiltonian, w, hx, hz):\n", + " \"\"\"\n", + " Generates the probability distribution at a specific time step during the simulation.\n", + "\n", + " Parameters:\n", + " - step (int): Current time step in the simulation.\n", + " - K (int): Total number of time steps.\n", + " - max_time (float): Maximum simulation time.\n", + " - hamiltonian (str): Type of Hamiltonian (e.g., \"tfim\" for Transverse Field Ising Model).\n", + " - w, hx, hz (float): Parameters for the Hamiltonian.\n", "\n", + " Returns:\n", + " - dict: The probability distribution at the given time step.\n", + " \"\"\"\n", " if step == 0:\n", " return get_init_state_distribution(n_spins=6, hamiltonian=hamiltonian)\n", " else:\n", @@ -281,26 +132,67 @@ "source": [ "# produce four plots.\n", "#\n", - "# Plot #1: Hellinger distance from initial state using quantum trotterization steps.\n", - "# Plot #2: Hellinger distance from initial state using exact classical calculation (can use many more little time steps.)\n", - "# Plot #3: Combine plots #1 and #2 onto the same axis.\n", - "# Plot #4: Hellinger fidelity at each time step from the classical exact to the trotterized at each time step.\n", + "# Plot #1: Hellinger fidelity at each time step from the classical exact to the trotterized at each time step.\n", + "# Plot #2: Hellinger distance from initial state using quantum trotterization steps.\n", + "# Plot #3: Hellinger distance from initial state using exact classical calculation (can use many more little time steps.)\n", + "# Plot #4: Combine plots #1 and #2 onto the same axis.\n", "# All four of these plots will be saved onto the computer into the working directory.\n", "\n", + "# These parameters define Heisenberg model variables.\n", "np.random.seed(26)\n", "hx = list(2 * np.random.random(20) - 1) # random numbers between [-1, 1]\n", "np.random.seed(75)\n", "hz = list(2 * np.random.random(20) - 1) # random numbers between [-1, 1]\n", "w = 1\n", + "\n", + "\n", + "# Number of trotter steps \n", "K = 10\n", "\n", + "# Hamiltonians, along with a desired initial state. \n", "hamiltonians_initstate_pairs = [(\"heisenberg\", \"checkerboard\"), (\"tfim\", \"ghz\")]\n", "\n", - "# add switching bewteen different total times in the future?\n", - "max_time = 0.4\n", + "# The total amount of time to split into K trotter steps of size max_time / K. \n", + "max_time = 0.4" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4c45e35d-42e0-49c7-bb2f-2c28e6a69743", + "metadata": {}, + "outputs": [], + "source": [ + "# Plot #1: Hellinger fidelity at each time step from the classical exact to the trotterized at each time step.\n", + "\n", + "for hamiltonian, init_state in hamiltonians_initstate_pairs:\n", + " hellingers = []\n", + " times = []\n", + " initial_distribution = None\n", + "\n", + " for k_i in range(K + 1):\n", + " # note k_0 = 0\n", + " dist = get_dist_at_timestep(k_i, K, max_time, hamiltonian, w, hx, hz)\n", + "\n", + " exact_dist = HamiltonianSimulationExact(\n", + " 6,\n", + " t=k_i * (max_time / K),\n", + " init_state=init_state,\n", + " hamiltonian=hamiltonian,\n", + " w=w,\n", + " hx=hx,\n", + " hz=hz,\n", + " )\n", "\n", - "image_label_raw = f\"maxtime {max_time}\"\n", - "image_label = image_label_raw.replace(\".\", \"dot\").replace(\" \", \"_\")" + " hellingers.append(hellinger_fidelity(exact_dist, dist))\n", + " times.append(k_i * (max_time / K))\n", + "\n", + " plt.plot(times, hellingers, marker=\"o\")\n", + "plt.title(\"Hellinger fidelity of exact vs trotterized states at discrete times\")\n", + "plt.legend([\"heisenberg\", \"tfim\"])\n", + "plt.xlabel(\"Time\")\n", + "plt.ylabel(\"Hellinger fidelity\")\n", + "plt.show()" ] }, { @@ -310,7 +202,7 @@ "metadata": {}, "outputs": [], "source": [ - "# Plot #1: Hellinger distance from initial state using quantum trotterization steps.\n", + "# Plot #2: Hellinger distance from initial state using quantum trotterization steps.\n", "\n", "for hamiltonian, init_state in hamiltonians_initstate_pairs:\n", "\n", @@ -330,9 +222,7 @@ " times.append(k_i * (max_time / K))\n", "\n", " plt.plot(times, hellingers, marker=\"o\")\n", - "plt.title(\n", - " \"Hellinger distance from initial state VS time for quantum trotterization steps\"\n", - ")\n", + "plt.title(\"Hellinger distance from initial state VS time for quantum trotterization steps\")\n", "plt.legend([\"trotterized heisenberg\", \"trotterized tfim\"])\n", "plt.xlabel(\"Time\")\n", "plt.ylabel(\"Hellinger distance\")\n", @@ -346,7 +236,7 @@ "metadata": {}, "outputs": [], "source": [ - "# Plot #2: Hellinger distance from initial state using exact classical calculation (can use many more little time steps.)\n", + "# Plot #3: Hellinger distance from initial state using exact classical calculation (can use many more little time steps.)\n", "\n", "for hamiltonian, init_state in hamiltonians_initstate_pairs:\n", " hellinger_list = []\n", @@ -355,7 +245,7 @@ " for t in np.linspace(0, max_time, 100):\n", "\n", " exact_dist = HamiltonianSimulationExact(\n", - " 6, t, init_state=init_state, hamiltonian=hamiltonian, w=1, hx=hx, hz=hz\n", + " 6, t, init_state=init_state, hamiltonian=hamiltonian, w=w, hx=hx, hz=hz\n", " )\n", "\n", " if t == 0:\n", @@ -365,11 +255,7 @@ " hellinger_list.append(dist)\n", "\n", " plt.plot([t for t in np.linspace(0, max_time, 100)], hellinger_list)\n", - "plt.title(\n", - " image_label_raw\n", - " + \"\\n\"\n", - " + \"Hellinger distance from initial state for exact evolution VS time\"\n", - ")\n", + "plt.title(\"Hellinger distance from initial state for exact evolution VS time\")\n", "plt.legend([\"exact heisenberg\", \"exact tfim\"])\n", "plt.xlabel(\"Time\")\n", "plt.ylabel(\"Hellinger distance\")\n", @@ -383,7 +269,7 @@ "metadata": {}, "outputs": [], "source": [ - "# Plot #3: Combine plots #1 and #2 onto the same axis.\n", + "# Plot #4: Combine plots #1 and #2 onto the same axis.\n", "\n", "for hamiltonian, init_state in hamiltonians_initstate_pairs:\n", "\n", @@ -411,7 +297,7 @@ " for t in np.linspace(0, max_time, 100):\n", "\n", " exact_dist = HamiltonianSimulationExact(\n", - " 6, t, init_state=init_state, hamiltonian=hamiltonian, w=1, hx=hx, hz=hz\n", + " 6, t, init_state=init_state, hamiltonian=hamiltonian, w=w, hx=hx, hz=hz\n", " )\n", "\n", " if t == 0:\n", @@ -421,7 +307,7 @@ " hellinger_list.append(dist)\n", "\n", " plt.plot([t for t in np.linspace(0, max_time, 100)], hellinger_list)\n", - "plt.title(image_label_raw + \"\\n\" + \"Hellinger distance from initial state VS time\")\n", + "plt.title(\"Hellinger distance from initial state VS time\")\n", "plt.legend(\n", " [\"trotterized heisenberg\", \"trotterized tfim\", \"exact heisenberg\", \"exact tfim\"]\n", ")\n", @@ -433,51 +319,7 @@ { "cell_type": "code", "execution_count": null, - "id": "4c45e35d-42e0-49c7-bb2f-2c28e6a69743", - "metadata": {}, - "outputs": [], - "source": [ - "# Plot #4: Hellinger fidelity at each time step from the classical exact to the trotterized at each time step.\n", - "\n", - "for hamiltonian, init_state in hamiltonians_initstate_pairs:\n", - " hellingers = []\n", - " times = []\n", - " initial_distribution = None\n", - "\n", - " for k_i in range(K + 1):\n", - " # note k_0 = 0\n", - " #\n", - " dist = get_dist_at_timestep(k_i, K, max_time, hamiltonian, w, hx, hz)\n", - "\n", - " exact_dist = HamiltonianSimulationExact(\n", - " 6,\n", - " t=k_i * (max_time / K),\n", - " init_state=init_state,\n", - " hamiltonian=\"tfim\",\n", - " w=1,\n", - " hx=hx,\n", - " hz=hz,\n", - " )\n", - "\n", - " hellingers.append(hellinger_fidelity(exact_dist, dist))\n", - " times.append(k_i * (max_time / K))\n", - "\n", - " plt.plot(times, hellingers, marker=\"o\")\n", - "plt.title(\n", - " image_label_raw\n", - " + \"\\n\"\n", - " + \"Hellinger fidelity of exact vs trotterized states at discrete times\"\n", - ")\n", - "plt.legend([\"heisenberg\", \"tfim\"])\n", - "plt.xlabel(\"Time\")\n", - "plt.ylabel(\"Hellinger fidelity\")\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "ec4301c6-5b9f-427f-8cb9-23c100f69a7d", + "id": "4d31ad0e-742a-4248-9c44-9ddbab2f3c5d", "metadata": {}, "outputs": [], "source": []