1_Quantum_annealing-executed.ipynb

{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "737ZUbff1j_6"
      },
      "source": [
        "#1.-QUANTUM ANNEALING\n",
        "\n",
        "###Setup"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "Tpn5NXYu1auq",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "59226fba-0690-412a-b56f-0dcba84f9b31"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
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            "Installing collected packages: dimod, rectangle-packer, plucky, homebase, fasteners, dwave-networkx, diskcache, minorminer, dwave-tabu, dwave-preprocessing, dwave-cloud-client, penaltymodel, dwave-system, dwave-neal, dwave-greedy, dwavebinarycsp, dwave-inspector, dwave-hybrid, dwave-ocean-sdk\n",
            "Successfully installed dimod-0.11.6 diskcache-5.4.0 dwave-cloud-client-0.10.2 dwave-greedy-0.2.5 dwave-hybrid-0.6.9 dwave-inspector-0.3.0 dwave-neal-0.5.9 dwave-networkx-0.8.12 dwave-ocean-sdk-5.5.0 dwave-preprocessing-0.4.0 dwave-system-1.15.0 dwave-tabu-0.4.5 dwavebinarycsp-0.2.0 fasteners-0.18 homebase-1.0.1 minorminer-0.2.9 penaltymodel-1.0.2 plucky-0.4.3 rectangle-packer-2.0.1\n"
          ]
        }
      ],
      "source": [
        "pip install dwave-ocean-sdk"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "vTdT1dsY13Z3",
        "outputId": "66d1f738-fd70-4be8-f995-19447eef5e97"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Using the simplified configuration flow.\n",
            "Try 'dwave config create --full' for more options.\n",
            "\n",
            "Creating new configuration file: /root/.config/dwave/dwave.conf\n",
            "Profile [defaults]: \n",
            "Updating existing profile: defaults\n",
            "Authentication token [skip]: DEV-9f527baff6a3722559445b822dcceee8e7aaf05f\n",
            "Configuration saved.\n"
          ]
        }
      ],
      "source": [
        "!dwave config create"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1XWjEK6Q14ux"
      },
      "source": [
        "##1.1- A simple example"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {
        "id": "q6X6SjT2usQv",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "c5084b33-93d1-4080-8025-7ea4e7331842"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The problem we are going to solve is:\n",
            "BinaryQuadraticModel({0: 0.0, 1: 0.0, 2: 0.0}, {(1, 0): 1.0, (2, 0): 1.0}, 0.0, 'SPIN')\n"
          ]
        }
      ],
      "source": [
        "import dimod\n",
        "J = {(0,1):1, (0,2):1}\n",
        "h = {}\n",
        "problem = dimod.BinaryQuadraticModel(h, J, 0.0, dimod.SPIN)\n",
        "print(\"The problem we are going to solve is:\")\n",
        "print(problem)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fHAwsSiO2B_3"
      },
      "source": [
        "### Running on the annealer"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {
        "id": "PLezBEyYvIkB",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "d26b3357-e31d-425e-8abd-49b9dfa77190"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The solutions that we have obtained are\n",
            "   0  1  2 energy num_oc. chain_.\n",
            "0 +1 -1 -1   -2.0       5     0.0\n",
            "1 -1 +1 +1   -2.0       5     0.0\n",
            "['SPIN', 2 rows, 10 samples, 3 variables]\n"
          ]
        }
      ],
      "source": [
        "from dwave.system import DWaveSampler\n",
        "from dwave.system import EmbeddingComposite\n",
        "sampler = EmbeddingComposite(DWaveSampler())\n",
        "result = sampler.sample(problem, num_reads=10)\n",
        "print(\"The solutions that we have obtained are\")\n",
        "print(result)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {
        "id": "lpElhPy00jJD",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "110265a7-5c5d-48d9-cfb9-9daae9ea8f1d"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "15940.96 microseconds\n"
          ]
        }
      ],
      "source": [
        "print(result.info['timing']['qpu_access_time'], \"microseconds\")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Kb66k4_s2MCA"
      },
      "source": [
        "##1.2- Constrained problems"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "id": "S27pucl4vMAh",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "d9ea32ab-f0c5-4489-ad0f-0f958b9d0292"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Our variables are:\n",
            "Variables(['x0', 'x1', 'x2'])\n",
            "Our objective is:\n",
            "QuadraticModel({'x0': -5.0, 'x1': 3.0, 'x2': -2.0}, {}, 0.0, {'x0': 'BINARY', 'x1': 'BINARY', 'x2': 'BINARY'}, dtype='float64')\n",
            "Our constraints are:\n",
            "{'First constraint': Le(BinaryQuadraticModel({'x0': 1.0, 'x2': 1.0}, {}, 0.0, 'BINARY'), 1), 'Second constraint': Le(BinaryQuadraticModel({'x0': 3.0, 'x1': -1.0, 'x2': 3.0}, {}, 0.0, 'BINARY'), 4)}\n"
          ]
        }
      ],
      "source": [
        "x0 = dimod.Binary(\"x0\")\n",
        "x1 = dimod.Binary(\"x1\")\n",
        "x2 = dimod.Binary(\"x2\")\n",
        "blp = dimod.ConstrainedQuadraticModel()\n",
        "blp.set_objective(-5*x0+3*x1-2*x2)\n",
        "blp.add_constraint(x0 + x2 <= 1, \"First constraint\")\n",
        "blp.add_constraint(3*x0 -x1 + 3*x2 <= 4, \"Second constraint\")\n",
        "print(\"Our variables are:\")\n",
        "print(blp.variables)\n",
        "print(\"Our objective is:\")\n",
        "print(blp.objective)\n",
        "print(\"Our constraints are:\") \n",
        "print(blp.constraints)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {
        "id": "xuJqGjWJxgi3",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "667c442f-5f6c-4670-c91e-108a008f1698"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The assignment is {'x0': 1, 'x1': 1, 'x2': 1}\n",
            "Its cost is -4.0\n",
            "Is it feasible? False\n",
            "The violations of the constraints are\n",
            "{'First constraint': 1.0, 'Second constraint': 1.0}\n"
          ]
        }
      ],
      "source": [
        "sample1 = {\"x0\":1, \"x1\":1, \"x2\":1}\n",
        "print(\"The assignment is\", sample1)\n",
        "print(\"Its cost is\", blp.objective.energy(sample1))\n",
        "print(\"Is it feasible?\",blp.check_feasible(sample1))\n",
        "print(\"The violations of the constraints are\")\n",
        "print(blp.violations(sample1))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {
        "id": "MS6WZNRmxs0P",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "b459e2b7-5bde-41e5-a143-889434b0992a"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The assignment is {'x0': 0, 'x1': 0, 'x2': 1}\n",
            "Its cost is -2.0\n",
            "Is it feasible? True\n",
            "The violations of the constraints are\n",
            "{'First constraint': 0.0, 'Second constraint': -1.0}\n"
          ]
        }
      ],
      "source": [
        "sample2 = {\"x0\":0, \"x1\":0, \"x2\":1}\n",
        "print(\"The assignment is\", sample2)\n",
        "print(\"Its cost is\", blp.objective.energy(sample2))\n",
        "print(\"Is it feasible?\",blp.check_feasible(sample2))\n",
        "print(\"The violations of the constraints are\")\n",
        "print(blp.violations(sample2))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "T6cZ7yJO2XlM"
      },
      "source": [
        "### Exact solver"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {
        "id": "CdF92pL2xxAo",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "54d4ee5b-16ac-4c0a-e96c-43cfa8f85419"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The list of assignments is\n",
            "  x0 x1 x2 energy num_oc. is_sat. is_fea.\n",
            "6  1  0  1   -7.0       1 arra...   False\n",
            "2  1  0  0   -5.0       1 arra...    True\n",
            "7  1  1  1   -4.0       1 arra...   False\n",
            "3  1  1  0   -2.0       1 arra...    True\n",
            "4  0  0  1   -2.0       1 arra...    True\n",
            "0  0  0  0    0.0       1 arra...    True\n",
            "5  0  1  1    1.0       1 arra...    True\n",
            "1  0  1  0    3.0       1 arra...    True\n",
            "['INTEGER', 8 rows, 8 samples, 3 variables]\n"
          ]
        }
      ],
      "source": [
        "solver = dimod.ExactCQMSolver()\n",
        "solution = solver.sample_cqm(blp)\n",
        "print(\"The list of assignments is\")\n",
        "print(solution)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {
        "id": "IvxrhmeezjvH",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "d7d6a8b7-382d-49a8-fbfd-9c71edf5594e"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Sample(sample={'x0': 1, 'x1': 0, 'x2': 1}, energy=-7.0, num_occurrences=1, is_satisfied=array([False, False]), is_feasible=False)\n"
          ]
        }
      ],
      "source": [
        "print(solution.first)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {
        "id": "Xc7yNhbXztW3",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "5e1a4f35-dad3-4413-aab8-ef875e0f51fc"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "  x0 x1 x2 energy num_oc. is_sat. is_fea.\n",
            "2  1  0  0   -5.0       1 arra...    True\n",
            "3  1  1  0   -2.0       1 arra...    True\n",
            "4  0  0  1   -2.0       1 arra...    True\n",
            "0  0  0  0    0.0       1 arra...    True\n",
            "5  0  1  1    1.0       1 arra...    True\n",
            "1  0  1  0    3.0       1 arra...    True\n",
            "['INTEGER', 6 rows, 6 samples, 3 variables]\n",
            "\n",
            "Sample(sample={'x0': 1, 'x1': 0, 'x2': 0}, energy=-5.0, num_occurrences=1, is_satisfied=array([ True,  True]), is_feasible=True)\n"
          ]
        }
      ],
      "source": [
        "feasible_sols = solution.filter(lambda s: s.is_feasible)\n",
        "print(feasible_sols)\n",
        "print()\n",
        "print(feasible_sols.first)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pToCoEaI2btl"
      },
      "source": [
        "### Running on the annealer"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 39,
      "metadata": {
        "id": "tX-ojqL-1BfX",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "36df38fe-08ca-484b-be15-650732c0db99"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Constrained quadratic model: 2 variables, 1 constraints, 4 biases\n",
            "\n",
            "Objective\n",
            "  -2*Binary('y0') - 3*Binary('y1')\n",
            "\n",
            "Constraints\n",
            "  cf7bafc: Binary('y0') + 2*Binary('y1') <= 2\n",
            "\n",
            "Bounds\n",
            "\n"
          ]
        }
      ],
      "source": [
        "y0, y1 = dimod.Binaries([\"y0\", \"y1\"])\n",
        "cqm = dimod.ConstrainedQuadraticModel()\n",
        "cqm.set_objective(-2*y0-3*y1)\n",
        "cqm.add_constraint(y0 + 2*y1 <= 2)\n",
        "print(cqm)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 40,
      "metadata": {
        "id": "7ZOVZspS3vR5",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "8aaac481-0dc9-44ba-8af9-8cd5899dc40a"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "BinaryQuadraticModel({'y0': -17.0, 'y1': -23.0, 'slack_v620a64a6f13e4a49b26ac70fd9b71063_0': -15.0, 'slack_v620a64a6f13e4a49b26ac70fd9b71063_1': -15.0}, {('y1', 'y0'): 20.0, ('slack_v620a64a6f13e4a49b26ac70fd9b71063_0', 'y0'): 10.0, ('slack_v620a64a6f13e4a49b26ac70fd9b71063_0', 'y1'): 20.0, ('slack_v620a64a6f13e4a49b26ac70fd9b71063_1', 'y0'): 10.0, ('slack_v620a64a6f13e4a49b26ac70fd9b71063_1', 'y1'): 20.0, ('slack_v620a64a6f13e4a49b26ac70fd9b71063_1', 'slack_v620a64a6f13e4a49b26ac70fd9b71063_0'): 10.0}, 20.0, 'BINARY')\n"
          ]
        }
      ],
      "source": [
        "qubo, invert = dimod.cqm_to_bqm(cqm, lagrange_multiplier = 5)\n",
        "print(qubo)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 41,
      "metadata": {
        "id": "7cy2llfS32sZ",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "87d58392-63f0-4d3e-fe5a-600adece3c36"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The solutions that we have obtained are\n",
            "  slack_v620a64a6f13e4a49b26ac70fd9b71063_0 ... y1 energy num_oc. chain_.\n",
            "0                                         0 ...  1   -3.0       1     0.0\n",
            "1                                         0 ...  0   -2.0       4     0.0\n",
            "2                                         1 ...  0   -2.0       4     0.0\n",
            "3                                         0 ...  1    0.0       1     0.0\n",
            "['BINARY', 4 rows, 10 samples, 4 variables]\n"
          ]
        }
      ],
      "source": [
        "sampler = EmbeddingComposite(DWaveSampler())\n",
        "result = sampler.sample(qubo, num_reads=10)\n",
        "print(\"The solutions that we have obtained are\")\n",
        "print(result)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 42,
      "metadata": {
        "id": "NF18XDkU4FJY",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "8ce88e58-7c9b-4078-bef0-66cdf817ad4c"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The solutions to the original problem are\n",
            "  y0 y1 energy num_oc. is_sat. is_fea.\n",
            "3  1  1   -5.0       1 arra...   False\n",
            "0  0  1   -3.0       1 arra...    True\n",
            "1  1  0   -2.0       4 arra...    True\n",
            "2  1  0   -2.0       4 arra...    True\n",
            "['INTEGER', 4 rows, 10 samples, 2 variables]\n"
          ]
        }
      ],
      "source": [
        "samples = []\n",
        "occurrences = []\n",
        "for s in result.data():\n",
        "    samples.append(invert(s.sample))\n",
        "    occurrences.append(s.num_occurrences)\n",
        "sampleset = dimod.SampleSet.from_samples_cqm(samples,cqm,\n",
        "    num_occurrences=occurrences)\n",
        "print(\"The solutions to the original problem are\")\n",
        "print(sampleset)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 43,
      "metadata": {
        "id": "i_GR6q_a4TlA",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "ff833695-e9fd-44ae-f130-10132850a7ff"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The final solutions are\n",
            "  y0 y1 energy num_oc. is_sat. is_fea.\n",
            "0  0  1   -3.0       1 arra...    True\n",
            "1  1  0   -2.0       8 arra...    True\n",
            "['INTEGER', 2 rows, 9 samples, 2 variables]\n"
          ]
        }
      ],
      "source": [
        "final_sols = sampleset.filter(lambda s: s.is_feasible)\n",
        "final_sols = final_sols.aggregate()\n",
        "print(\"The final solutions are\")\n",
        "print(final_sols)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "NoVmpdVN54Rm"
      },
      "source": [
        "##1.3- The annealers"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {
        "id": "Rys4m9BJ5TnQ",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "dd103e7b-2ebe-4748-c552-24f5ad9eb803"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "StructuredSolver(id='DW_2000Q_6')\n",
            "BQMSolver(id='hybrid_binary_quadratic_model_version2')\n",
            "DQMSolver(id='hybrid_discrete_quadratic_model_version1')\n",
            "CQMSolver(id='hybrid_constrained_quadratic_model_version1')\n",
            "StructuredSolver(id='Advantage_system6.1')\n",
            "StructuredSolver(id='Advantage2_prototype1.1')\n",
            "StructuredSolver(id='Advantage_system4.1')\n"
          ]
        }
      ],
      "source": [
        "from dwave.cloud import Client\n",
        "for solver in Client.from_config().get_solvers():\n",
        "    print(solver)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {
        "id": "4otZoOVe58G-",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "50926d23-f4fe-48f4-fa99-ba671b9db563"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Name: DW_2000Q_6\n",
            "Number of qubits: 2048\n",
            "Category: qpu\n",
            "Supported problems: ['ising', 'qubo']\n",
            "Topology: {'type': 'chimera', 'shape': [16, 16, 4]}\n",
            "Range of reads: [1, 10000]\n"
          ]
        }
      ],
      "source": [
        "from dwave.system import DWaveSampler\n",
        "sampler=DWaveSampler(solver='DW_2000Q_6')\n",
        "print(\"Name:\",sampler.properties[\"chip_id\"])\n",
        "print(\"Number of qubits:\",sampler.properties[\"num_qubits\"])\n",
        "print(\"Category:\",sampler.properties[\"category\"])\n",
        "print(\"Supported problems:\",sampler.properties[\"supported_problem_types\"])\n",
        "print(\"Topology:\",sampler.properties[\"topology\"])\n",
        "print(\"Range of reads:\",sampler.properties[\"num_reads_range\"])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {
        "id": "Wnoz0-u_83Sa",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "23c2cb6d-092d-409a-ac6e-65100c431ca9"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Name: Advantage_system4.1\n",
            "Number of qubits: 5760\n",
            "Category: qpu\n",
            "Supported problems: ['ising', 'qubo']\n",
            "Topology: {'type': 'pegasus', 'shape': [16]}\n",
            "Range of reads: [1, 10000]\n"
          ]
        }
      ],
      "source": [
        "from dwave.system import DWaveSampler\n",
        "sampler=DWaveSampler(solver='Advantage_system4.1')\n",
        "print(\"Name:\",sampler.properties[\"chip_id\"])\n",
        "print(\"Number of qubits:\",sampler.properties[\"num_qubits\"])\n",
        "print(\"Category:\",sampler.properties[\"category\"])\n",
        "print(\"Supported problems:\",sampler.properties[\"supported_problem_types\"])\n",
        "print(\"Topology:\",sampler.properties[\"topology\"])\n",
        "print(\"Range of reads:\",sampler.properties[\"num_reads_range\"])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {
        "id": "geQHW_wi8-Xb",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "a3153e8f-4f87-48ac-9bf4-ae230d86a662"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Name: Advantage2_prototype1.1\n",
            "Number of qubits: 576\n",
            "Category: qpu\n",
            "Supported problems: ['ising', 'qubo']\n",
            "Topology: {'type': 'zephyr', 'shape': [4, 4]}\n",
            "Range of reads: [1, 10000]\n"
          ]
        }
      ],
      "source": [
        "from dwave.system import DWaveSampler\n",
        "sampler=DWaveSampler(solver='Advantage2_prototype1.1')\n",
        "print(\"Name:\",sampler.properties[\"chip_id\"])\n",
        "print(\"Number of qubits:\",sampler.properties[\"num_qubits\"])\n",
        "print(\"Category:\",sampler.properties[\"category\"])\n",
        "print(\"Supported problems:\",sampler.properties[\"supported_problem_types\"])\n",
        "print(\"Topology:\",sampler.properties[\"topology\"])\n",
        "print(\"Range of reads:\",sampler.properties[\"num_reads_range\"])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {
        "id": "E4sJ98PO9Yj5",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "869736c6-4ffd-48c2-e36b-dbeeb5afb80e"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Couplings: [[0, 4], [1, 4], [2, 4], [3, 4], [0, 5], [1, 5], [2, 5], [3, 5], [0, 6], [1, 6], [2, 6], [3, 6], [0, 7], [1, 7], [2, 7], [3, 7], [4, 12], [8, 12], [9, 12], [10, 12], [11, 12], [5, 13], [8, 13], [9, 13], [10, 13], [11, 13], [6, 14], [8, 14], [9, 14], [10, 14], [11, 14], [7, 15], [8, 15], [9, 15], [10, 15], [11, 15], [12, 20], [16, 20], [17, 20], [18, 20], [19, 20], [13, 21], [16, 21], [17, 21], [18, 21], [19, 21], [16, 22], [17, 22], [18, 22], [19, 22], [15, 23], [16, 23], [17, 23], [18, 23], [19, 23], [20, 28], [24, 28], [25, 28], [26, 28], [27, 28], [21, 29], [24, 29], [25, 29], [26, 29], [27, 29], [22, 30], [24, 30], [25, 30], [26, 30], [27, 30], [23, 31], [24, 31], [25, 31], [26, 31], [27, 31], [28, 36], [32, 36], [33, 36], [34, 36], [35, 36], [29, 37], [32, 37], [33, 37], [34, 37], [35, 37], [30, 38], [32, 38], [33, 38], [34, 38], [35, 38], [31, 39], [32, 39], [33, 39], [34, 39], [35, 39], [36, 44], [40, 44], [41, 44], [42, 44], [37, 45], [40, 45], [41, 45], [42, 45], [39, 47], [40, 47], [41, 47], [42, 47], [44, 52], [48, 52], [49, 52], [50, 52], [51, 52], [45, 53], [48, 53], [49, 53], [50, 53], [51, 53], [48, 54], [49, 54], [50, 54], [51, 54], [47, 55], [48, 55], [49, 55], [50, 55], [51, 55], [52, 60], [56, 60], [57, 60], [58, 60], [59, 60], [53, 61], [56, 61], [57, 61], [58, 61], [59, 61], [54, 62], [56, 62], [57, 62], [58, 62], [59, 62], [55, 63], [56, 63], [57, 63], [58, 63], [59, 63], [60, 68], [64, 68], [65, 68], [66, 68], [67, 68], [61, 69], [64, 69], [65, 69], [66, 69], [67, 69], [62, 70], [64, 70], [65, 70], [66, 70], [67, 70], [63, 71], [64, 71], [65, 71], [66, 71], [67, 71], [68, 76], [72, 76], [73, 76], [74, 76], [75, 76], [69, 77], [72, 77], [73, 77], [74, 77], [75, 77], [70, 78], [72, 78], [73, 78], [74, 78], [75, 78], [71, 79], [72, 79], [73, 79], [74, 79], [75, 79], [76, 84], [80, 84], [81, 84], [82, 84], [83, 84], [77, 85], [80, 85], [81, 85], [82, 85], [83, 85], [78, 86], [80, 86], [81, 86], [82, 86], [83, 86], [79, 87], [80, 87], [81, 87], [82, 87], [83, 87], [84, 92], [88, 92], [89, 92], [90, 92], [91, 92], [85, 93], [88, 93], [89, 93], [90, 93], [91, 93], [86, 94], [88, 94], [89, 94], [90, 94], [91, 94], [87, 95], [88, 95], [89, 95], [90, 95], [91, 95], [92, 100], [96, 100], [97, 100], [98, 100], [99, 100], [93, 101], [96, 101], [97, 101], [98, 101], [99, 101], [94, 102], [96, 102], [97, 102], [98, 102], [99, 102], [95, 103], [96, 103], [97, 103], [98, 103], [99, 103], [100, 108], [104, 108], [105, 108], [106, 108], [107, 108], [101, 109], [104, 109], [105, 109], [106, 109], [107, 109], [102, 110], [104, 110], [105, 110], [106, 110], [107, 110], [103, 111], [104, 111], [105, 111], [106, 111], [107, 111], [108, 116], [112, 116], [113, 116], [114, 116], [115, 116], [109, 117], [112, 117], [113, 117], [114, 117], [115, 117], [110, 118], [112, 118], [113, 118], [114, 118], [115, 118], [111, 119], [112, 119], [113, 119], [114, 119], [115, 119], [116, 124], [120, 124], [121, 124], [122, 124], [123, 124], [117, 125], [120, 125], [121, 125], [122, 125], [123, 125], [118, 126], [120, 126], [121, 126], [122, 126], [123, 126], [119, 127], [120, 127], [121, 127], [122, 127], [123, 127], [0, 128], [1, 129], [2, 130], [3, 131], [128, 132], [129, 132], [130, 132], [131, 132], [128, 133], [129, 133], [130, 133], [131, 133], [128, 134], [129, 134], [130, 134], [131, 134], [128, 135], [129, 135], [130, 135], [131, 135], [8, 136], [9, 137], [10, 138], [11, 139], [132, 140], [136, 140], [137, 140], [138, 140], [139, 140], [133, 141], [136, 141], [137, 141], [138, 141], [139, 141], [134, 142], [136, 142], [137, 142], [138, 142], [139, 142], [135, 143], [136, 143], [137, 143], [138, 143], [139, 143], [16, 144], [17, 145], [18, 146], [19, 147], [140, 148], [144, 148], [145, 148], [146, 148], [147, 148], [141, 149], [144, 149], [145, 149], [146, 149], [147, 149], [142, 150], [144, 150], [145, 150], [146, 150], [147, 150], [143, 151], [144, 151], [145, 151], [146, 151], [147, 151], [24, 152], [25, 153], [26, 154], [27, 155], [148, 156], [152, 156], [153, 156], [154, 156], [155, 156], [149, 157], [152, 157], [153, 157], [154, 157], [155, 157], [150, 158], [152, 158], [153, 158], [154, 158], [155, 158], [151, 159], [152, 159], [153, 159], [154, 159], [155, 159], [32, 160], [33, 161], [34, 162], [35, 163], [156, 164], [160, 164], [161, 164], [162, 164], [163, 164], [157, 165], [160, 165], [161, 165], [162, 165], [163, 165], [158, 166], [160, 166], [161, 166], [162, 166], [163, 166], [159, 167], [160, 167], [161, 167], [162, 167], [163, 167], [40, 168], [41, 169], [42, 170], [164, 172], [168, 172], [169, 172], [170, 172], [171, 172], [165, 173], [168, 173], [169, 173], [170, 173], [171, 173], [166, 174], [168, 174], [169, 174], [170, 174], [171, 174], [167, 175], [168, 175], [169, 175], [170, 175], [171, 175], [48, 176], [49, 177], [50, 178], [51, 179], [172, 180], [176, 180], [177, 180], [178, 180], [179, 180], [173, 181], [176, 181], [177, 181], [178, 181], [179, 181], [174, 182], [176, 182], [177, 182], [178, 182], [179, 182], [175, 183], [176, 183], [177, 183], [178, 183], [179, 183], [56, 184], [57, 185], [58, 186], [59, 187], [180, 188], [184, 188], [185, 188], [186, 188], [187, 188], [181, 189], [184, 189], [185, 189], [186, 189], [187, 189], [182, 190], [184, 190], [185, 190], [186, 190], [187, 190], [183, 191], [184, 191], [185, 191], [186, 191], [187, 191], [64, 192], [65, 193], [66, 194], [67, 195], [188, 196], [192, 196], [193, 196], [194, 196], [195, 196], [189, 197], [192, 197], [193, 197], [194, 197], [195, 197], [190, 198], [192, 198], [193, 198], [194, 198], [195, 198], [191, 199], [192, 199], [193, 199], [194, 199], [195, 199], [72, 200], [73, 201], [74, 202], [75, 203], [196, 204], [200, 204], [201, 204], [202, 204], [203, 204], [197, 205], [200, 205], [201, 205], [202, 205], [203, 205], [198, 206], [200, 206], [201, 206], [202, 206], [203, 206], [199, 207], [200, 207], [201, 207], [202, 207], [203, 207], [80, 208], [81, 209], [82, 210], [83, 211], 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1773], [1766, 1774], [1768, 1774], [1769, 1774], [1770, 1774], [1771, 1774], [1767, 1775], [1768, 1775], [1769, 1775], [1770, 1775], [1771, 1775], [1648, 1776], [1649, 1777], [1650, 1778], [1651, 1779], [1772, 1780], [1776, 1780], [1777, 1780], [1778, 1780], [1779, 1780], [1773, 1781], [1776, 1781], [1777, 1781], [1778, 1781], [1779, 1781], [1774, 1782], [1776, 1782], [1777, 1782], [1778, 1782], [1779, 1782], [1775, 1783], [1776, 1783], [1777, 1783], [1778, 1783], [1779, 1783], [1656, 1784], [1657, 1785], [1658, 1786], [1659, 1787], [1780, 1788], [1784, 1788], [1785, 1788], [1786, 1788], [1787, 1788], [1781, 1789], [1784, 1789], [1785, 1789], [1786, 1789], [1787, 1789], [1782, 1790], [1784, 1790], [1785, 1790], [1786, 1790], [1787, 1790], [1783, 1791], [1784, 1791], [1785, 1791], [1786, 1791], [1787, 1791], [1664, 1792], [1665, 1793], [1666, 1794], [1667, 1795], [1792, 1796], [1793, 1796], [1794, 1796], [1795, 1796], [1792, 1797], [1793, 1797], [1794, 1797], [1795, 1797], [1792, 1798], [1793, 1798], [1794, 1798], [1795, 1798], [1792, 1799], [1793, 1799], [1794, 1799], [1795, 1799], [1672, 1800], [1673, 1801], [1674, 1802], [1675, 1803], [1797, 1805], [1800, 1805], [1801, 1805], [1802, 1805], [1803, 1805], [1798, 1806], [1800, 1806], [1801, 1806], [1802, 1806], [1803, 1806], [1799, 1807], [1800, 1807], [1801, 1807], [1802, 1807], [1803, 1807], [1680, 1808], [1681, 1809], [1682, 1810], [1683, 1811], [1808, 1812], [1809, 1812], [1810, 1812], [1811, 1812], [1805, 1813], [1808, 1813], [1809, 1813], [1810, 1813], [1811, 1813], [1806, 1814], [1808, 1814], [1809, 1814], [1810, 1814], [1811, 1814], [1807, 1815], [1808, 1815], [1809, 1815], [1810, 1815], [1811, 1815], [1688, 1816], [1689, 1817], [1690, 1818], [1691, 1819], [1812, 1820], [1816, 1820], [1817, 1820], [1818, 1820], [1819, 1820], [1813, 1821], [1816, 1821], [1817, 1821], [1818, 1821], [1819, 1821], [1814, 1822], [1816, 1822], [1817, 1822], [1818, 1822], [1819, 1822], [1815, 1823], [1816, 1823], [1817, 1823], [1818, 1823], [1819, 1823], [1696, 1824], [1697, 1825], [1698, 1826], [1699, 1827], [1820, 1828], [1824, 1828], [1825, 1828], [1826, 1828], [1827, 1828], [1821, 1829], [1824, 1829], [1825, 1829], [1826, 1829], [1827, 1829], [1822, 1830], [1824, 1830], [1825, 1830], [1826, 1830], [1827, 1830], [1823, 1831], [1824, 1831], [1825, 1831], [1826, 1831], [1827, 1831], [1704, 1832], [1705, 1833], [1706, 1834], [1707, 1835], [1828, 1836], [1832, 1836], [1833, 1836], [1834, 1836], [1835, 1836], [1829, 1837], [1832, 1837], [1833, 1837], [1834, 1837], [1835, 1837], [1830, 1838], [1832, 1838], [1833, 1838], [1834, 1838], [1835, 1838], [1831, 1839], [1832, 1839], [1833, 1839], [1834, 1839], [1835, 1839], [1712, 1840], [1713, 1841], [1714, 1842], [1715, 1843], [1836, 1844], [1840, 1844], [1841, 1844], [1842, 1844], [1843, 1844], [1837, 1845], [1840, 1845], [1841, 1845], [1842, 1845], [1843, 1845], [1838, 1846], [1840, 1846], [1841, 1846], [1842, 1846], [1843, 1846], [1839, 1847], [1840, 1847], [1841, 1847], [1842, 1847], [1843, 1847], [1720, 1848], [1721, 1849], [1722, 1850], [1844, 1852], [1848, 1852], [1849, 1852], [1850, 1852], [1851, 1852], [1845, 1853], [1848, 1853], [1849, 1853], [1850, 1853], [1851, 1853], [1846, 1854], [1848, 1854], [1849, 1854], [1850, 1854], [1851, 1854], [1847, 1855], [1848, 1855], [1849, 1855], [1850, 1855], [1851, 1855], [1728, 1856], [1729, 1857], [1730, 1858], [1731, 1859], [1852, 1860], [1856, 1860], [1857, 1860], [1858, 1860], [1859, 1860], [1853, 1861], [1856, 1861], [1857, 1861], [1858, 1861], [1859, 1861], [1854, 1862], [1856, 1862], [1857, 1862], [1858, 1862], [1859, 1862], [1855, 1863], [1856, 1863], [1857, 1863], [1858, 1863], [1859, 1863], [1736, 1864], [1737, 1865], [1738, 1866], [1739, 1867], [1860, 1868], [1864, 1868], [1865, 1868], [1866, 1868], [1867, 1868], [1861, 1869], [1864, 1869], [1865, 1869], [1866, 1869], [1867, 1869], [1862, 1870], [1864, 1870], [1865, 1870], [1866, 1870], [1867, 1870], [1863, 1871], [1864, 1871], [1865, 1871], [1866, 1871], [1867, 1871], [1744, 1872], [1745, 1873], [1746, 1874], [1747, 1875], [1868, 1876], [1872, 1876], [1873, 1876], [1874, 1876], [1875, 1876], [1869, 1877], [1872, 1877], [1873, 1877], [1874, 1877], [1875, 1877], [1870, 1878], [1872, 1878], [1873, 1878], [1874, 1878], [1875, 1878], [1871, 1879], [1872, 1879], [1873, 1879], [1874, 1879], [1875, 1879], [1752, 1880], [1753, 1881], [1754, 1882], [1755, 1883], [1876, 1884], [1880, 1884], [1881, 1884], [1882, 1884], [1883, 1884], [1877, 1885], [1880, 1885], [1881, 1885], [1882, 1885], [1883, 1885], [1878, 1886], [1880, 1886], [1881, 1886], [1882, 1886], [1883, 1886], [1879, 1887], [1880, 1887], [1881, 1887], [1882, 1887], [1883, 1887], [1760, 1888], [1761, 1889], [1762, 1890], [1763, 1891], [1884, 1892], [1888, 1892], [1889, 1892], [1890, 1892], [1891, 1892], [1885, 1893], [1888, 1893], [1889, 1893], [1890, 1893], [1891, 1893], [1886, 1894], [1888, 1894], [1889, 1894], [1890, 1894], [1891, 1894], [1887, 1895], [1888, 1895], [1889, 1895], [1890, 1895], [1891, 1895], [1768, 1896], [1769, 1897], [1770, 1898], [1771, 1899], [1892, 1900], [1896, 1900], [1897, 1900], [1898, 1900], [1899, 1900], [1893, 1901], [1896, 1901], [1897, 1901], [1898, 1901], [1899, 1901], [1894, 1902], [1896, 1902], [1897, 1902], [1898, 1902], [1899, 1902], [1895, 1903], [1896, 1903], [1897, 1903], [1898, 1903], [1899, 1903], [1776, 1904], [1777, 1905], [1778, 1906], [1779, 1907], [1900, 1908], [1904, 1908], [1905, 1908], [1906, 1908], [1907, 1908], [1901, 1909], [1904, 1909], [1905, 1909], [1906, 1909], [1907, 1909], [1902, 1910], [1904, 1910], [1905, 1910], [1906, 1910], [1907, 1910], [1903, 1911], [1904, 1911], [1905, 1911], [1906, 1911], [1907, 1911], [1784, 1912], [1785, 1913], [1786, 1914], [1787, 1915], [1908, 1916], [1912, 1916], [1913, 1916], [1914, 1916], [1915, 1916], [1909, 1917], [1912, 1917], [1913, 1917], [1914, 1917], [1915, 1917], [1910, 1918], [1912, 1918], [1913, 1918], [1914, 1918], [1915, 1918], [1911, 1919], [1912, 1919], [1913, 1919], [1914, 1919], [1915, 1919], [1792, 1920], [1793, 1921], [1794, 1922], [1795, 1923], [1920, 1924], [1921, 1924], [1922, 1924], [1923, 1924], [1920, 1925], [1921, 1925], [1922, 1925], [1923, 1925], [1920, 1926], [1921, 1926], [1922, 1926], [1923, 1926], [1920, 1927], [1921, 1927], [1922, 1927], [1923, 1927], [1800, 1928], [1801, 1929], [1802, 1930], [1803, 1931], [1924, 1932], [1928, 1932], [1929, 1932], [1930, 1932], [1931, 1932], [1925, 1933], [1928, 1933], [1929, 1933], [1930, 1933], [1931, 1933], [1926, 1934], [1928, 1934], [1929, 1934], [1930, 1934], [1931, 1934], [1927, 1935], [1928, 1935], [1929, 1935], [1930, 1935], [1931, 1935], [1808, 1936], [1809, 1937], [1810, 1938], [1811, 1939], [1932, 1940], [1936, 1940], [1937, 1940], [1938, 1940], [1939, 1940], [1933, 1941], [1936, 1941], [1937, 1941], [1938, 1941], [1939, 1941], [1934, 1942], [1936, 1942], [1937, 1942], [1938, 1942], [1939, 1942], [1935, 1943], [1936, 1943], [1937, 1943], [1938, 1943], [1939, 1943], [1816, 1944], [1817, 1945], [1818, 1946], [1819, 1947], [1940, 1948], [1944, 1948], [1945, 1948], [1946, 1948], [1947, 1948], [1941, 1949], [1944, 1949], [1945, 1949], [1946, 1949], [1947, 1949], [1942, 1950], [1944, 1950], [1945, 1950], [1946, 1950], [1947, 1950], [1943, 1951], [1944, 1951], [1945, 1951], [1946, 1951], [1947, 1951], [1824, 1952], [1825, 1953], [1826, 1954], [1827, 1955], [1948, 1956], [1952, 1956], [1953, 1956], [1954, 1956], [1955, 1956], [1949, 1957], [1952, 1957], [1953, 1957], [1954, 1957], [1955, 1957], [1950, 1958], [1952, 1958], [1953, 1958], [1954, 1958], [1955, 1958], [1951, 1959], [1952, 1959], [1953, 1959], [1954, 1959], [1955, 1959], [1832, 1960], [1833, 1961], [1834, 1962], [1835, 1963], [1956, 1964], [1960, 1964], [1961, 1964], [1962, 1964], [1963, 1964], [1957, 1965], [1960, 1965], [1961, 1965], [1962, 1965], [1963, 1965], [1958, 1966], [1960, 1966], [1961, 1966], [1962, 1966], [1963, 1966], [1959, 1967], [1960, 1967], [1961, 1967], [1962, 1967], [1963, 1967], [1840, 1968], [1841, 1969], [1842, 1970], [1843, 1971], [1964, 1972], [1968, 1972], [1969, 1972], [1970, 1972], [1971, 1972], [1965, 1973], [1968, 1973], [1969, 1973], [1970, 1973], [1971, 1973], [1966, 1974], [1968, 1974], [1969, 1974], [1970, 1974], [1971, 1974], [1967, 1975], [1968, 1975], [1969, 1975], [1970, 1975], [1971, 1975], [1848, 1976], [1849, 1977], [1850, 1978], [1851, 1979], [1972, 1980], [1976, 1980], [1977, 1980], [1978, 1980], [1979, 1980], [1973, 1981], [1976, 1981], [1977, 1981], [1978, 1981], [1979, 1981], [1974, 1982], [1976, 1982], [1977, 1982], [1978, 1982], [1979, 1982], [1975, 1983], [1976, 1983], [1977, 1983], [1978, 1983], [1979, 1983], [1856, 1984], [1857, 1985], [1858, 1986], [1859, 1987], [1980, 1988], [1984, 1988], [1985, 1988], [1986, 1988], [1987, 1988], [1981, 1989], [1984, 1989], [1985, 1989], [1986, 1989], [1987, 1989], [1982, 1990], [1984, 1990], [1985, 1990], [1986, 1990], [1987, 1990], [1983, 1991], [1984, 1991], [1985, 1991], [1986, 1991], [1987, 1991], [1864, 1992], [1865, 1993], [1866, 1994], [1867, 1995], [1988, 1996], [1992, 1996], [1993, 1996], [1994, 1996], [1995, 1996], [1989, 1997], [1992, 1997], [1993, 1997], [1994, 1997], [1995, 1997], [1990, 1998], [1992, 1998], [1993, 1998], [1994, 1998], [1995, 1998], [1991, 1999], [1992, 1999], [1993, 1999], [1994, 1999], [1995, 1999], [1872, 2000], [1873, 2001], [1874, 2002], [1875, 2003], [1996, 2004], [2000, 2004], [2001, 2004], [2002, 2004], [2003, 2004], [1997, 2005], [2000, 2005], [2001, 2005], [2002, 2005], [2003, 2005], [1998, 2006], [2000, 2006], [2001, 2006], [2002, 2006], [2003, 2006], [1999, 2007], [2000, 2007], [2001, 2007], [2002, 2007], [2003, 2007], [1880, 2008], [1881, 2009], [1882, 2010], [1883, 2011], [2004, 2012], [2008, 2012], [2009, 2012], [2010, 2012], [2011, 2012], [2005, 2013], [2008, 2013], [2009, 2013], [2010, 2013], [2011, 2013], [2006, 2014], [2008, 2014], [2009, 2014], [2010, 2014], [2011, 2014], [2007, 2015], [2008, 2015], [2009, 2015], [2010, 2015], [2011, 2015], [1888, 2016], [1889, 2017], [1890, 2018], [1891, 2019], [2012, 2020], [2016, 2020], [2017, 2020], [2018, 2020], [2019, 2020], [2013, 2021], [2016, 2021], [2017, 2021], [2018, 2021], [2019, 2021], [2014, 2022], [2016, 2022], [2017, 2022], [2018, 2022], [2019, 2022], [2015, 2023], [2016, 2023], [2017, 2023], [2018, 2023], [2019, 2023], [1896, 2024], [1897, 2025], [1898, 2026], [1899, 2027], [2020, 2028], [2024, 2028], [2025, 2028], [2026, 2028], [2027, 2028], [2021, 2029], [2024, 2029], [2025, 2029], [2026, 2029], [2027, 2029], [2022, 2030], [2024, 2030], [2025, 2030], [2026, 2030], [2027, 2030], [2023, 2031], [2024, 2031], [2025, 2031], [2026, 2031], [2027, 2031], [1904, 2032], [1905, 2033], [1906, 2034], [1907, 2035], [2028, 2036], [2032, 2036], [2033, 2036], [2034, 2036], [2035, 2036], [2029, 2037], [2032, 2037], [2033, 2037], [2034, 2037], [2035, 2037], [2030, 2038], [2032, 2038], [2033, 2038], [2034, 2038], [2035, 2038], [2031, 2039], [2032, 2039], [2033, 2039], [2034, 2039], [2035, 2039], [1912, 2040], [1913, 2041], [1914, 2042], [1915, 2043], [2036, 2044], [2040, 2044], [2041, 2044], [2042, 2044], [2043, 2044], [2037, 2045], [2040, 2045], [2041, 2045], [2042, 2045], [2043, 2045], [2038, 2046], [2040, 2046], [2041, 2046], [2042, 2046], [2043, 2046], [2039, 2047], [2040, 2047], [2041, 2047], [2042, 2047], [2043, 2047]]\n"
          ]
        }
      ],
      "source": [
        "sampler=DWaveSampler(solver='DW_2000Q_6')\n",
        "print(\"Couplings:\",sampler.properties[\"couplers\"])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {
        "id": "jx6s-YRlCIDa",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "522222c7-fdf1-4bbc-844c-318fd95768d9"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{0: {4, 5, 6, 7, 128},\n",
              " 1: {4, 5, 6, 7, 129},\n",
              " 2: {4, 5, 6, 7, 130},\n",
              " 3: {4, 5, 6, 7, 131},\n",
              " 4: {0, 1, 2, 3, 12},\n",
              " 5: {0, 1, 2, 3, 13},\n",
              " 6: {0, 1, 2, 3, 14},\n",
              " 7: {0, 1, 2, 3, 15},\n",
              " 8: {12, 13, 14, 15, 136},\n",
              " 9: {12, 13, 14, 15, 137},\n",
              " 10: {12, 13, 14, 15, 138},\n",
              " 11: {12, 13, 14, 15, 139},\n",
              " 12: {4, 8, 9, 10, 11, 20},\n",
              " 13: {5, 8, 9, 10, 11, 21},\n",
              " 14: {6, 8, 9, 10, 11},\n",
              " 15: {7, 8, 9, 10, 11, 23},\n",
              " 16: {20, 21, 22, 23, 144},\n",
              " 17: {20, 21, 22, 23, 145},\n",
              " 18: {20, 21, 22, 23, 146},\n",
              " 19: {20, 21, 22, 23, 147},\n",
              " 20: {12, 16, 17, 18, 19, 28},\n",
              " 21: {13, 16, 17, 18, 19, 29},\n",
              " 22: {16, 17, 18, 19, 30},\n",
              " 23: {15, 16, 17, 18, 19, 31},\n",
              " 24: {28, 29, 30, 31, 152},\n",
              " 25: {28, 29, 30, 31, 153},\n",
              " 26: {28, 29, 30, 31, 154},\n",
              " 27: {28, 29, 30, 31, 155},\n",
              " 28: {20, 24, 25, 26, 27, 36},\n",
              " 29: {21, 24, 25, 26, 27, 37},\n",
              " 30: {22, 24, 25, 26, 27, 38},\n",
              " 31: {23, 24, 25, 26, 27, 39},\n",
              " 32: {36, 37, 38, 39, 160},\n",
              " 33: {36, 37, 38, 39, 161},\n",
              " 34: {36, 37, 38, 39, 162},\n",
              " 35: {36, 37, 38, 39, 163},\n",
              " 36: {28, 32, 33, 34, 35, 44},\n",
              " 37: {29, 32, 33, 34, 35, 45},\n",
              " 38: {30, 32, 33, 34, 35},\n",
              " 39: {31, 32, 33, 34, 35, 47},\n",
              " 40: {44, 45, 47, 168},\n",
              " 41: {44, 45, 47, 169},\n",
              " 42: {44, 45, 47, 170},\n",
              " 44: {36, 40, 41, 42, 52},\n",
              " 45: {37, 40, 41, 42, 53},\n",
              " 47: {39, 40, 41, 42, 55},\n",
              " 48: {52, 53, 54, 55, 176},\n",
              " 49: {52, 53, 54, 55, 177},\n",
              " 50: {52, 53, 54, 55, 178},\n",
              " 51: {52, 53, 54, 55, 179},\n",
              " 52: {44, 48, 49, 50, 51, 60},\n",
              " 53: {45, 48, 49, 50, 51, 61},\n",
              " 54: {48, 49, 50, 51, 62},\n",
              " 55: {47, 48, 49, 50, 51, 63},\n",
              " 56: {60, 61, 62, 63, 184},\n",
              " 57: {60, 61, 62, 63, 185},\n",
              " 58: {60, 61, 62, 63, 186},\n",
              " 59: {60, 61, 62, 63, 187},\n",
              " 60: {52, 56, 57, 58, 59, 68},\n",
              " 61: {53, 56, 57, 58, 59, 69},\n",
              " 62: {54, 56, 57, 58, 59, 70},\n",
              " 63: {55, 56, 57, 58, 59, 71},\n",
              " 64: {68, 69, 70, 71, 192},\n",
              " 65: {68, 69, 70, 71, 193},\n",
              " 66: {68, 69, 70, 71, 194},\n",
              " 67: {68, 69, 70, 71, 195},\n",
              " 68: {60, 64, 65, 66, 67, 76},\n",
              " 69: {61, 64, 65, 66, 67, 77},\n",
              " 70: {62, 64, 65, 66, 67, 78},\n",
              " 71: {63, 64, 65, 66, 67, 79},\n",
              " 72: {76, 77, 78, 79, 200},\n",
              " 73: {76, 77, 78, 79, 201},\n",
              " 74: {76, 77, 78, 79, 202},\n",
              " 75: {76, 77, 78, 79, 203},\n",
              " 76: {68, 72, 73, 74, 75, 84},\n",
              " 77: {69, 72, 73, 74, 75, 85},\n",
              " 78: {70, 72, 73, 74, 75, 86},\n",
              " 79: {71, 72, 73, 74, 75, 87},\n",
              " 80: {84, 85, 86, 87, 208},\n",
              " 81: {84, 85, 86, 87, 209},\n",
              " 82: {84, 85, 86, 87, 210},\n",
              " 83: {84, 85, 86, 87, 211},\n",
              " 84: {76, 80, 81, 82, 83, 92},\n",
              " 85: {77, 80, 81, 82, 83, 93},\n",
              " 86: {78, 80, 81, 82, 83, 94},\n",
              " 87: {79, 80, 81, 82, 83, 95},\n",
              " 88: {92, 93, 94, 95, 216},\n",
              " 89: {92, 93, 94, 95, 217},\n",
              " 90: {92, 93, 94, 95, 218},\n",
              " 91: {92, 93, 94, 95, 219},\n",
              " 92: {84, 88, 89, 90, 91, 100},\n",
              " 93: {85, 88, 89, 90, 91, 101},\n",
              " 94: {86, 88, 89, 90, 91, 102},\n",
              " 95: {87, 88, 89, 90, 91, 103},\n",
              " 96: {100, 101, 102, 103, 224},\n",
              " 97: {100, 101, 102, 103, 225},\n",
              " 98: {100, 101, 102, 103, 226},\n",
              " 99: {100, 101, 102, 103, 227},\n",
              " 100: {92, 96, 97, 98, 99, 108},\n",
              " 101: {93, 96, 97, 98, 99, 109},\n",
              " 102: {94, 96, 97, 98, 99, 110},\n",
              " 103: {95, 96, 97, 98, 99, 111},\n",
              " 104: {108, 109, 110, 111, 232},\n",
              " 105: {108, 109, 110, 111, 233},\n",
              " 106: {108, 109, 110, 111, 234},\n",
              " 107: {108, 109, 110, 111, 235},\n",
              " 108: {100, 104, 105, 106, 107, 116},\n",
              " 109: {101, 104, 105, 106, 107, 117},\n",
              " 110: {102, 104, 105, 106, 107, 118},\n",
              " 111: {103, 104, 105, 106, 107, 119},\n",
              " 112: {116, 117, 118, 119, 240},\n",
              " 113: {116, 117, 118, 119, 241},\n",
              " 114: {116, 117, 118, 119, 242},\n",
              " 115: {116, 117, 118, 119, 243},\n",
              " 116: {108, 112, 113, 114, 115, 124},\n",
              " 117: {109, 112, 113, 114, 115, 125},\n",
              " 118: {110, 112, 113, 114, 115, 126},\n",
              " 119: {111, 112, 113, 114, 115, 127},\n",
              " 120: {124, 125, 126, 127, 248},\n",
              " 121: {124, 125, 126, 127, 249},\n",
              " 122: {124, 125, 126, 127, 250},\n",
              " 123: {124, 125, 126, 127, 251},\n",
              " 124: {116, 120, 121, 122, 123},\n",
              " 125: {117, 120, 121, 122, 123},\n",
              " 126: {118, 120, 121, 122, 123},\n",
              " 127: {119, 120, 121, 122, 123},\n",
              " 128: {0, 132, 133, 134, 135, 256},\n",
              " 129: {1, 132, 133, 134, 135, 257},\n",
              " 130: {2, 132, 133, 134, 135, 258},\n",
              " 131: {3, 132, 133, 134, 135, 259},\n",
              " 132: {128, 129, 130, 131, 140},\n",
              " 133: {128, 129, 130, 131, 141},\n",
              " 134: {128, 129, 130, 131, 142},\n",
              " 135: {128, 129, 130, 131, 143},\n",
              " 136: {8, 140, 141, 142, 143, 264},\n",
              " 137: {9, 140, 141, 142, 143, 265},\n",
              " 138: {10, 140, 141, 142, 143, 266},\n",
              " 139: {11, 140, 141, 142, 143, 267},\n",
              " 140: {132, 136, 137, 138, 139, 148},\n",
              " 141: {133, 136, 137, 138, 139, 149},\n",
              " 142: {134, 136, 137, 138, 139, 150},\n",
              " 143: {135, 136, 137, 138, 139, 151},\n",
              " 144: {16, 148, 149, 150, 151, 272},\n",
              " 145: {17, 148, 149, 150, 151, 273},\n",
              " 146: {18, 148, 149, 150, 151, 274},\n",
              " 147: {19, 148, 149, 150, 151, 275},\n",
              " 148: {140, 144, 145, 146, 147, 156},\n",
              " 149: {141, 144, 145, 146, 147, 157},\n",
              " 150: {142, 144, 145, 146, 147, 158},\n",
              " 151: {143, 144, 145, 146, 147, 159},\n",
              " 152: {24, 156, 157, 158, 159, 280},\n",
              " 153: {25, 156, 157, 158, 159, 281},\n",
              " 154: {26, 156, 157, 158, 159, 282},\n",
              " 155: {27, 156, 157, 158, 159, 283},\n",
              " 156: {148, 152, 153, 154, 155, 164},\n",
              " 157: {149, 152, 153, 154, 155, 165},\n",
              " 158: {150, 152, 153, 154, 155, 166},\n",
              " 159: {151, 152, 153, 154, 155, 167},\n",
              " 160: {32, 164, 165, 166, 167, 288},\n",
              " 161: {33, 164, 165, 166, 167, 289},\n",
              " 162: {34, 164, 165, 166, 167, 290},\n",
              " 163: {35, 164, 165, 166, 167, 291},\n",
              " 164: {156, 160, 161, 162, 163, 172},\n",
              " 165: {157, 160, 161, 162, 163, 173},\n",
              " 166: {158, 160, 161, 162, 163, 174},\n",
              " 167: {159, 160, 161, 162, 163, 175},\n",
              " 168: {40, 172, 173, 174, 175, 296},\n",
              " 169: {41, 172, 173, 174, 175, 297},\n",
              " 170: {42, 172, 173, 174, 175, 298},\n",
              " 171: {172, 173, 174, 175, 299},\n",
              " 172: {164, 168, 169, 170, 171, 180},\n",
              " 173: {165, 168, 169, 170, 171, 181},\n",
              " 174: {166, 168, 169, 170, 171, 182},\n",
              " 175: {167, 168, 169, 170, 171, 183},\n",
              " 176: {48, 180, 181, 182, 183, 304},\n",
              " 177: {49, 180, 181, 182, 183, 305},\n",
              " 178: {50, 180, 181, 182, 183, 306},\n",
              " 179: {51, 180, 181, 182, 183, 307},\n",
              " 180: {172, 176, 177, 178, 179, 188},\n",
              " 181: {173, 176, 177, 178, 179, 189},\n",
              " 182: {174, 176, 177, 178, 179, 190},\n",
              " 183: {175, 176, 177, 178, 179, 191},\n",
              " 184: {56, 188, 189, 190, 191, 312},\n",
              " 185: {57, 188, 189, 190, 191, 313},\n",
              " 186: {58, 188, 189, 190, 191, 314},\n",
              " 187: {59, 188, 189, 190, 191, 315},\n",
              " 188: {180, 184, 185, 186, 187, 196},\n",
              " 189: {181, 184, 185, 186, 187, 197},\n",
              " 190: {182, 184, 185, 186, 187, 198},\n",
              " 191: {183, 184, 185, 186, 187, 199},\n",
              " 192: {64, 196, 197, 198, 199, 320},\n",
              " 193: {65, 196, 197, 198, 199, 321},\n",
              " 194: {66, 196, 197, 198, 199, 322},\n",
              " 195: {67, 196, 197, 198, 199, 323},\n",
              " 196: {188, 192, 193, 194, 195, 204},\n",
              " 197: {189, 192, 193, 194, 195, 205},\n",
              " 198: {190, 192, 193, 194, 195, 206},\n",
              " 199: {191, 192, 193, 194, 195, 207},\n",
              " 200: {72, 204, 205, 206, 207, 328},\n",
              " 201: {73, 204, 205, 206, 207, 329},\n",
              " 202: {74, 204, 205, 206, 207, 330},\n",
              " 203: {75, 204, 205, 206, 207, 331},\n",
              " 204: {196, 200, 201, 202, 203, 212},\n",
              " 205: {197, 200, 201, 202, 203, 213},\n",
              " 206: {198, 200, 201, 202, 203, 214},\n",
              " 207: {199, 200, 201, 202, 203, 215},\n",
              " 208: {80, 212, 213, 214, 215, 336},\n",
              " 209: {81, 212, 213, 214, 215, 337},\n",
              " 210: {82, 212, 213, 214, 215, 338},\n",
              " 211: {83, 212, 213, 214, 215, 339},\n",
              " 212: {204, 208, 209, 210, 211, 220},\n",
              " 213: {205, 208, 209, 210, 211, 221},\n",
              " 214: {206, 208, 209, 210, 211, 222},\n",
              " 215: {207, 208, 209, 210, 211, 223},\n",
              " 216: {88, 220, 221, 222, 223, 344},\n",
              " 217: {89, 220, 221, 222, 223, 345},\n",
              " 218: {90, 220, 221, 222, 223, 346},\n",
              " 219: {91, 220, 221, 222, 223, 347},\n",
              " 220: {212, 216, 217, 218, 219, 228},\n",
              " 221: {213, 216, 217, 218, 219, 229},\n",
              " 222: {214, 216, 217, 218, 219, 230},\n",
              " 223: {215, 216, 217, 218, 219, 231},\n",
              " 224: {96, 228, 229, 230, 231, 352},\n",
              " 225: {97, 228, 229, 230, 231, 353},\n",
              " 226: {98, 228, 229, 230, 231, 354},\n",
              " 227: {99, 228, 229, 230, 231, 355},\n",
              " 228: {220, 224, 225, 226, 227, 236},\n",
              " 229: {221, 224, 225, 226, 227, 237},\n",
              " 230: {222, 224, 225, 226, 227, 238},\n",
              " 231: {223, 224, 225, 226, 227, 239},\n",
              " 232: {104, 236, 237, 238, 239, 360},\n",
              " 233: {105, 236, 237, 238, 239, 361},\n",
              " 234: {106, 236, 237, 238, 239, 362},\n",
              " 235: {107, 236, 237, 238, 239, 363},\n",
              " 236: {228, 232, 233, 234, 235, 244},\n",
              " 237: {229, 232, 233, 234, 235, 245},\n",
              " 238: {230, 232, 233, 234, 235, 246},\n",
              " 239: {231, 232, 233, 234, 235, 247},\n",
              " 240: {112, 244, 245, 246, 247, 368},\n",
              " 241: {113, 244, 245, 246, 247, 369},\n",
              " 242: {114, 244, 245, 246, 247, 370},\n",
              " 243: {115, 244, 245, 246, 247, 371},\n",
              " 244: {236, 240, 241, 242, 243, 252},\n",
              " 245: {237, 240, 241, 242, 243, 253},\n",
              " 246: {238, 240, 241, 242, 243, 254},\n",
              " 247: {239, 240, 241, 242, 243, 255},\n",
              " 248: {120, 252, 253, 254, 255, 376},\n",
              " 249: {121, 252, 253, 254, 255, 377},\n",
              " 250: {122, 252, 253, 254, 255, 378},\n",
              " 251: {123, 252, 253, 254, 255, 379},\n",
              " 252: {244, 248, 249, 250, 251},\n",
              " 253: {245, 248, 249, 250, 251},\n",
              " 254: {246, 248, 249, 250, 251},\n",
              " 255: {247, 248, 249, 250, 251},\n",
              " 256: {128, 260, 261, 262, 263, 384},\n",
              " 257: {129, 260, 261, 262, 263, 385},\n",
              " 258: {130, 260, 261, 262, 263, 386},\n",
              " 259: {131, 260, 261, 262, 263, 387},\n",
              " 260: {256, 257, 258, 259, 268},\n",
              " 261: {256, 257, 258, 259, 269},\n",
              " 262: {256, 257, 258, 259, 270},\n",
              " 263: {256, 257, 258, 259, 271},\n",
              " 264: {136, 268, 269, 270, 271, 392},\n",
              " 265: {137, 268, 269, 270, 271, 393},\n",
              " 266: {138, 268, 269, 270, 271, 394},\n",
              " 267: {139, 268, 269, 270, 271, 395},\n",
              " 268: {260, 264, 265, 266, 267, 276},\n",
              " 269: {261, 264, 265, 266, 267, 277},\n",
              " 270: {262, 264, 265, 266, 267, 278},\n",
              " 271: {263, 264, 265, 266, 267, 279},\n",
              " 272: {144, 276, 277, 278, 279, 400},\n",
              " 273: {145, 276, 277, 278, 279, 401},\n",
              " 274: {146, 276, 277, 278, 279, 402},\n",
              " 275: {147, 276, 277, 278, 279, 403},\n",
              " 276: {268, 272, 273, 274, 275, 284},\n",
              " 277: {269, 272, 273, 274, 275, 285},\n",
              " 278: {270, 272, 273, 274, 275, 286},\n",
              " 279: {271, 272, 273, 274, 275, 287},\n",
              " 280: {152, 284, 285, 286, 287, 408},\n",
              " 281: {153, 284, 285, 286, 287, 409},\n",
              " 282: {154, 284, 285, 286, 287, 410},\n",
              " 283: {155, 284, 285, 286, 287, 411},\n",
              " 284: {276, 280, 281, 282, 283, 292},\n",
              " 285: {277, 280, 281, 282, 283, 293},\n",
              " 286: {278, 280, 281, 282, 283, 294},\n",
              " 287: {279, 280, 281, 282, 283, 295},\n",
              " 288: {160, 292, 293, 294, 295, 416},\n",
              " 289: {161, 292, 293, 294, 295, 417},\n",
              " 290: {162, 292, 293, 294, 295, 418},\n",
              " 291: {163, 292, 293, 294, 295, 419},\n",
              " 292: {284, 288, 289, 290, 291, 300},\n",
              " 293: {285, 288, 289, 290, 291, 301},\n",
              " 294: {286, 288, 289, 290, 291, 302},\n",
              " 295: {287, 288, 289, 290, 291, 303},\n",
              " 296: {168, 300, 301, 302, 303, 424},\n",
              " 297: {169, 300, 301, 302, 303, 425},\n",
              " 298: {170, 300, 301, 302, 303, 426},\n",
              " 299: {171, 300, 301, 302, 303, 427},\n",
              " 300: {292, 296, 297, 298, 299, 308},\n",
              " 301: {293, 296, 297, 298, 299, 309},\n",
              " 302: {294, 296, 297, 298, 299, 310},\n",
              " 303: {295, 296, 297, 298, 299, 311},\n",
              " 304: {176, 308, 309, 310, 311, 432},\n",
              " 305: {177, 308, 309, 310, 311, 433},\n",
              " 306: {178, 308, 309, 310, 311, 434},\n",
              " 307: {179, 308, 309, 310, 311, 435},\n",
              " 308: {300, 304, 305, 306, 307, 316},\n",
              " 309: {301, 304, 305, 306, 307, 317},\n",
              " 310: {302, 304, 305, 306, 307, 318},\n",
              " 311: {303, 304, 305, 306, 307, 319},\n",
              " 312: {184, 316, 317, 318, 319, 440},\n",
              " 313: {185, 316, 317, 318, 319, 441},\n",
              " 314: {186, 316, 317, 318, 319, 442},\n",
              " 315: {187, 316, 317, 318, 319, 443},\n",
              " 316: {308, 312, 313, 314, 315, 324},\n",
              " 317: {309, 312, 313, 314, 315, 325},\n",
              " 318: {310, 312, 313, 314, 315, 326},\n",
              " 319: {311, 312, 313, 314, 315, 327},\n",
              " 320: {192, 324, 325, 326, 327, 448},\n",
              " 321: {193, 324, 325, 326, 327, 449},\n",
              " 322: {194, 324, 325, 326, 327, 450},\n",
              " 323: {195, 324, 325, 326, 327, 451},\n",
              " 324: {316, 320, 321, 322, 323, 332},\n",
              " 325: {317, 320, 321, 322, 323, 333},\n",
              " 326: {318, 320, 321, 322, 323, 334},\n",
              " 327: {319, 320, 321, 322, 323, 335},\n",
              " 328: {200, 332, 333, 334, 335, 456},\n",
              " 329: {201, 332, 333, 334, 335, 457},\n",
              " 330: {202, 332, 333, 334, 335, 458},\n",
              " 331: {203, 332, 333, 334, 335, 459},\n",
              " 332: {324, 328, 329, 330, 331, 340},\n",
              " 333: {325, 328, 329, 330, 331, 341},\n",
              " 334: {326, 328, 329, 330, 331, 342},\n",
              " 335: {327, 328, 329, 330, 331, 343},\n",
              " 336: {208, 340, 341, 342, 343, 464},\n",
              " 337: {209, 340, 341, 342, 343, 465},\n",
              " 338: {210, 340, 341, 342, 343, 466},\n",
              " 339: {211, 340, 341, 342, 343, 467},\n",
              " 340: {332, 336, 337, 338, 339, 348},\n",
              " 341: {333, 336, 337, 338, 339, 349},\n",
              " 342: {334, 336, 337, 338, 339, 350},\n",
              " 343: {335, 336, 337, 338, 339, 351},\n",
              " 344: {216, 348, 349, 350, 351, 472},\n",
              " 345: {217, 348, 349, 350, 351, 473},\n",
              " 346: {218, 348, 349, 350, 351, 474},\n",
              " 347: {219, 348, 349, 350, 351, 475},\n",
              " 348: {340, 344, 345, 346, 347, 356},\n",
              " 349: {341, 344, 345, 346, 347, 357},\n",
              " 350: {342, 344, 345, 346, 347, 358},\n",
              " 351: {343, 344, 345, 346, 347, 359},\n",
              " 352: {224, 356, 357, 358, 359, 480},\n",
              " 353: {225, 356, 357, 358, 359, 481},\n",
              " 354: {226, 356, 357, 358, 359, 482},\n",
              " 355: {227, 356, 357, 358, 359, 483},\n",
              " 356: {348, 352, 353, 354, 355, 364},\n",
              " 357: {349, 352, 353, 354, 355, 365},\n",
              " 358: {350, 352, 353, 354, 355, 366},\n",
              " 359: {351, 352, 353, 354, 355, 367},\n",
              " 360: {232, 364, 365, 366, 367, 488},\n",
              " 361: {233, 364, 365, 366, 367, 489},\n",
              " 362: {234, 364, 365, 366, 367, 490},\n",
              " 363: {235, 364, 365, 366, 367, 491},\n",
              " 364: {356, 360, 361, 362, 363, 372},\n",
              " 365: {357, 360, 361, 362, 363, 373},\n",
              " 366: {358, 360, 361, 362, 363, 374},\n",
              " 367: {359, 360, 361, 362, 363, 375},\n",
              " 368: {240, 372, 373, 374, 375, 496},\n",
              " 369: {241, 372, 373, 374, 375, 497},\n",
              " 370: {242, 372, 373, 374, 375, 498},\n",
              " 371: {243, 372, 373, 374, 375, 499},\n",
              " 372: {364, 368, 369, 370, 371, 380},\n",
              " 373: {365, 368, 369, 370, 371, 381},\n",
              " 374: {366, 368, 369, 370, 371, 382},\n",
              " 375: {367, 368, 369, 370, 371, 383},\n",
              " 376: {248, 380, 381, 382, 383, 504},\n",
              " 377: {249, 380, 381, 382, 383, 505},\n",
              " 378: {250, 380, 381, 382, 383, 506},\n",
              " 379: {251, 380, 381, 382, 383, 507},\n",
              " 380: {372, 376, 377, 378, 379},\n",
              " 381: {373, 376, 377, 378, 379},\n",
              " 382: {374, 376, 377, 378, 379},\n",
              " 383: {375, 376, 377, 378, 379},\n",
              " 384: {256, 388, 389, 390, 391, 512},\n",
              " 385: {257, 388, 389, 390, 391, 513},\n",
              " 386: {258, 388, 389, 390, 391, 514},\n",
              " 387: {259, 388, 389, 390, 391, 515},\n",
              " 388: {384, 385, 386, 387, 396},\n",
              " 389: {384, 385, 386, 387, 397},\n",
              " 390: {384, 385, 386, 387, 398},\n",
              " 391: {384, 385, 386, 387, 399},\n",
              " 392: {264, 396, 397, 398, 399, 520},\n",
              " 393: {265, 396, 397, 398, 399, 521},\n",
              " 394: {266, 396, 397, 398, 399, 522},\n",
              " 395: {267, 396, 397, 398, 399, 523},\n",
              " 396: {388, 392, 393, 394, 395, 404},\n",
              " 397: {389, 392, 393, 394, 395, 405},\n",
              " 398: {390, 392, 393, 394, 395, 406},\n",
              " 399: {391, 392, 393, 394, 395, 407},\n",
              " 400: {272, 404, 405, 406, 407, 528},\n",
              " 401: {273, 404, 405, 406, 407, 529},\n",
              " 402: {274, 404, 405, 406, 407, 530},\n",
              " 403: {275, 404, 405, 406, 407, 531},\n",
              " 404: {396, 400, 401, 402, 403, 412},\n",
              " 405: {397, 400, 401, 402, 403, 413},\n",
              " 406: {398, 400, 401, 402, 403, 414},\n",
              " 407: {399, 400, 401, 402, 403, 415},\n",
              " 408: {280, 412, 413, 414, 415, 536},\n",
              " 409: {281, 412, 413, 414, 415, 537},\n",
              " 410: {282, 412, 413, 414, 415, 538},\n",
              " 411: {283, 412, 413, 414, 415, 539},\n",
              " 412: {404, 408, 409, 410, 411, 420},\n",
              " 413: {405, 408, 409, 410, 411, 421},\n",
              " 414: {406, 408, 409, 410, 411, 422},\n",
              " 415: {407, 408, 409, 410, 411, 423},\n",
              " 416: {288, 420, 421, 422, 423, 544},\n",
              " 417: {289, 420, 421, 422, 423, 545},\n",
              " 418: {290, 420, 421, 422, 423, 546},\n",
              " 419: {291, 420, 421, 422, 423, 547},\n",
              " 420: {412, 416, 417, 418, 419, 428},\n",
              " 421: {413, 416, 417, 418, 419, 429},\n",
              " 422: {414, 416, 417, 418, 419, 430},\n",
              " 423: {415, 416, 417, 418, 419, 431},\n",
              " 424: {296, 428, 429, 430, 431, 552},\n",
              " 425: {297, 428, 429, 430, 431, 553},\n",
              " 426: {298, 428, 429, 430, 431, 554},\n",
              " 427: {299, 428, 429, 430, 431, 555},\n",
              " 428: {420, 424, 425, 426, 427, 436},\n",
              " 429: {421, 424, 425, 426, 427, 437},\n",
              " 430: {422, 424, 425, 426, 427, 438},\n",
              " 431: {423, 424, 425, 426, 427, 439},\n",
              " 432: {304, 436, 437, 438, 439, 560},\n",
              " 433: {305, 436, 437, 438, 439, 561},\n",
              " 434: {306, 436, 437, 438, 439, 562},\n",
              " 435: {307, 436, 437, 438, 439, 563},\n",
              " 436: {428, 432, 433, 434, 435, 444},\n",
              " 437: {429, 432, 433, 434, 435, 445},\n",
              " 438: {430, 432, 433, 434, 435, 446},\n",
              " 439: {431, 432, 433, 434, 435, 447},\n",
              " 440: {312, 444, 445, 446, 447, 568},\n",
              " 441: {313, 444, 445, 446, 447, 569},\n",
              " 442: {314, 444, 445, 446, 447, 570},\n",
              " 443: {315, 444, 445, 446, 447, 571},\n",
              " 444: {436, 440, 441, 442, 443, 452},\n",
              " 445: {437, 440, 441, 442, 443, 453},\n",
              " 446: {438, 440, 441, 442, 443, 454},\n",
              " 447: {439, 440, 441, 442, 443, 455},\n",
              " 448: {320, 452, 453, 454, 455, 576},\n",
              " 449: {321, 452, 453, 454, 455, 577},\n",
              " 450: {322, 452, 453, 454, 455, 578},\n",
              " 451: {323, 452, 453, 454, 455, 579},\n",
              " 452: {444, 448, 449, 450, 451, 460},\n",
              " 453: {445, 448, 449, 450, 451, 461},\n",
              " 454: {446, 448, 449, 450, 451, 462},\n",
              " 455: {447, 448, 449, 450, 451, 463},\n",
              " 456: {328, 460, 461, 462, 463, 584},\n",
              " 457: {329, 460, 461, 462, 463, 585},\n",
              " 458: {330, 460, 461, 462, 463, 586},\n",
              " 459: {331, 460, 461, 462, 463, 587},\n",
              " 460: {452, 456, 457, 458, 459, 468},\n",
              " 461: {453, 456, 457, 458, 459, 469},\n",
              " 462: {454, 456, 457, 458, 459, 470},\n",
              " 463: {455, 456, 457, 458, 459, 471},\n",
              " 464: {336, 468, 469, 470, 471, 592},\n",
              " 465: {337, 468, 469, 470, 471, 593},\n",
              " 466: {338, 468, 469, 470, 471, 594},\n",
              " 467: {339, 468, 469, 470, 471, 595},\n",
              " 468: {460, 464, 465, 466, 467, 476},\n",
              " 469: {461, 464, 465, 466, 467, 477},\n",
              " 470: {462, 464, 465, 466, 467, 478},\n",
              " 471: {463, 464, 465, 466, 467, 479},\n",
              " 472: {344, 476, 477, 478, 479, 600},\n",
              " 473: {345, 476, 477, 478, 479, 601},\n",
              " 474: {346, 476, 477, 478, 479, 602},\n",
              " 475: {347, 476, 477, 478, 479, 603},\n",
              " 476: {468, 472, 473, 474, 475, 484},\n",
              " 477: {469, 472, 473, 474, 475, 485},\n",
              " 478: {470, 472, 473, 474, 475, 486},\n",
              " 479: {471, 472, 473, 474, 475, 487},\n",
              " 480: {352, 484, 485, 486, 487, 608},\n",
              " 481: {353, 484, 485, 486, 487, 609},\n",
              " 482: {354, 484, 485, 486, 487, 610},\n",
              " 483: {355, 484, 485, 486, 487, 611},\n",
              " 484: {476, 480, 481, 482, 483, 492},\n",
              " 485: {477, 480, 481, 482, 483, 493},\n",
              " 486: {478, 480, 481, 482, 483, 494},\n",
              " 487: {479, 480, 481, 482, 483, 495},\n",
              " 488: {360, 492, 493, 494, 495, 616},\n",
              " 489: {361, 492, 493, 494, 495, 617},\n",
              " 490: {362, 492, 493, 494, 495, 618},\n",
              " 491: {363, 492, 493, 494, 495, 619},\n",
              " 492: {484, 488, 489, 490, 491, 500},\n",
              " 493: {485, 488, 489, 490, 491, 501},\n",
              " 494: {486, 488, 489, 490, 491, 502},\n",
              " 495: {487, 488, 489, 490, 491, 503},\n",
              " 496: {368, 500, 501, 502, 503, 624},\n",
              " 497: {369, 500, 501, 502, 503, 625},\n",
              " 498: {370, 500, 501, 502, 503, 626},\n",
              " 499: {371, 500, 501, 502, 503, 627},\n",
              " 500: {492, 496, 497, 498, 499, 508},\n",
              " 501: {493, 496, 497, 498, 499, 509},\n",
              " 502: {494, 496, 497, 498, 499, 510},\n",
              " 503: {495, 496, 497, 498, 499, 511},\n",
              " 504: {376, 508, 509, 510, 511, 632},\n",
              " 505: {377, 508, 509, 510, 511, 633},\n",
              " 506: {378, 508, 509, 510, 511, 634},\n",
              " 507: {379, 508, 509, 510, 511, 635},\n",
              " 508: {500, 504, 505, 506, 507},\n",
              " 509: {501, 504, 505, 506, 507},\n",
              " 510: {502, 504, 505, 506, 507},\n",
              " 511: {503, 504, 505, 506, 507},\n",
              " 512: {384, 516, 517, 518, 519, 640},\n",
              " 513: {385, 516, 517, 518, 519, 641},\n",
              " 514: {386, 516, 517, 518, 519, 642},\n",
              " 515: {387, 516, 517, 518, 519, 643},\n",
              " 516: {512, 513, 514, 515},\n",
              " 517: {512, 513, 514, 515, 525},\n",
              " 518: {512, 513, 514, 515, 526},\n",
              " 519: {512, 513, 514, 515, 527},\n",
              " 520: {392, 525, 526, 527, 648},\n",
              " 521: {393, 525, 526, 527, 649},\n",
              " 522: {394, 525, 526, 527, 650},\n",
              " 523: {395, 525, 526, 527, 651},\n",
              " 525: {517, 520, 521, 522, 523, 533},\n",
              " 526: {518, 520, 521, 522, 523, 534},\n",
              " 527: {519, 520, 521, 522, 523, 535},\n",
              " 528: {400, 532, 533, 534, 535, 656},\n",
              " 529: {401, 532, 533, 534, 535, 657},\n",
              " 530: {402, 532, 533, 534, 535, 658},\n",
              " 531: {403, 532, 533, 534, 535, 659},\n",
              " 532: {528, 529, 530, 531, 540},\n",
              " 533: {525, 528, 529, 530, 531, 541},\n",
              " 534: {526, 528, 529, 530, 531, 542},\n",
              " 535: {527, 528, 529, 530, 531, 543},\n",
              " 536: {408, 540, 541, 542, 543, 664},\n",
              " 537: {409, 540, 541, 542, 543, 665},\n",
              " 538: {410, 540, 541, 542, 543, 666},\n",
              " 539: {411, 540, 541, 542, 543, 667},\n",
              " 540: {532, 536, 537, 538, 539},\n",
              " 541: {533, 536, 537, 538, 539, 549},\n",
              " 542: {534, 536, 537, 538, 539, 550},\n",
              " 543: {535, 536, 537, 538, 539, 551},\n",
              " 544: {416, 549, 550, 551, 672},\n",
              " 545: {417, 549, 550, 551, 673},\n",
              " 546: {418, 549, 550, 551, 674},\n",
              " 547: {419, 549, 550, 551, 675},\n",
              " 549: {541, 544, 545, 546, 547, 557},\n",
              " 550: {542, 544, 545, 546, 547, 558},\n",
              " 551: {543, 544, 545, 546, 547, 559},\n",
              " 552: {424, 556, 557, 558, 559, 680},\n",
              " 553: {425, 556, 557, 558, 559, 681},\n",
              " 554: {426, 557, 558, 559, 682},\n",
              " 555: {427, 556, 557, 558, 559, 683},\n",
              " 556: {552, 553, 555, 564},\n",
              " 557: {549, 552, 553, 554, 555, 565},\n",
              " 558: {550, 552, 553, 554, 555, 566},\n",
              " 559: {551, 552, 553, 554, 555, 567},\n",
              " 560: {432, 564, 565, 566, 567, 688},\n",
              " 561: {433, 564, 565, 566, 567, 689},\n",
              " 562: {434, 564, 565, 566, 567, 690},\n",
              " 563: {435, 564, 565, 566, 567, 691},\n",
              " 564: {556, 560, 561, 562, 563, 572},\n",
              " 565: {557, 560, 561, 562, 563, 573},\n",
              " 566: {558, 560, 561, 562, 563, 574},\n",
              " 567: {559, 560, 561, 562, 563, 575},\n",
              " 568: {440, 572, 573, 574, 575, 696},\n",
              " 569: {441, 572, 573, 574, 575, 697},\n",
              " 570: {442, 572, 573, 574, 575, 698},\n",
              " 571: {443, 572, 573, 574, 575, 699},\n",
              " 572: {564, 568, 569, 570, 571, 580},\n",
              " 573: {565, 568, 569, 570, 571, 581},\n",
              " 574: {566, 568, 569, 570, 571, 582},\n",
              " 575: {567, 568, 569, 570, 571, 583},\n",
              " 576: {448, 580, 581, 582, 583, 704},\n",
              " 577: {449, 580, 581, 582, 583, 705},\n",
              " 578: {450, 580, 581, 582, 583, 706},\n",
              " 579: {451, 580, 581, 582, 583, 707},\n",
              " 580: {572, 576, 577, 578, 579, 588},\n",
              " 581: {573, 576, 577, 578, 579, 589},\n",
              " 582: {574, 576, 577, 578, 579, 590},\n",
              " 583: {575, 576, 577, 578, 579, 591},\n",
              " 584: {456, 588, 589, 590, 591, 712},\n",
              " 585: {457, 588, 589, 590, 591, 713},\n",
              " 586: {458, 588, 589, 590, 591, 714},\n",
              " 587: {459, 588, 589, 590, 591, 715},\n",
              " 588: {580, 584, 585, 586, 587, 596},\n",
              " 589: {581, 584, 585, 586, 587, 597},\n",
              " 590: {582, 584, 585, 586, 587, 598},\n",
              " 591: {583, 584, 585, 586, 587, 599},\n",
              " 592: {464, 596, 597, 598, 599, 720},\n",
              " 593: {465, 596, 597, 598, 599, 721},\n",
              " 594: {466, 596, 597, 598, 599, 722},\n",
              " 595: {467, 596, 597, 598, 599, 723},\n",
              " 596: {588, 592, 593, 594, 595, 604},\n",
              " 597: {589, 592, 593, 594, 595, 605},\n",
              " 598: {590, 592, 593, 594, 595, 606},\n",
              " 599: {591, 592, 593, 594, 595, 607},\n",
              " 600: {472, 604, 605, 606, 607, 728},\n",
              " 601: {473, 604, 605, 606, 607, 729},\n",
              " 602: {474, 604, 605, 606, 607, 730},\n",
              " 603: {475, 604, 605, 606, 607, 731},\n",
              " 604: {596, 600, 601, 602, 603, 612},\n",
              " 605: {597, 600, 601, 602, 603, 613},\n",
              " 606: {598, 600, 601, 602, 603, 614},\n",
              " 607: {599, 600, 601, 602, 603, 615},\n",
              " 608: {480, 612, 613, 614, 615, 736},\n",
              " 609: {481, 612, 613, 614, 615, 737},\n",
              " 610: {482, 612, 613, 614, 615, 738},\n",
              " 611: {483, 612, 613, 614, 615, 739},\n",
              " 612: {604, 608, 609, 610, 611, 620},\n",
              " 613: {605, 608, 609, 610, 611, 621},\n",
              " 614: {606, 608, 609, 610, 611, 622},\n",
              " 615: {607, 608, 609, 610, 611, 623},\n",
              " 616: {488, 620, 621, 622, 623, 744},\n",
              " 617: {489, 620, 621, 622, 623, 745},\n",
              " 618: {490, 620, 621, 622, 623, 746},\n",
              " 619: {491, 620, 621, 622, 623, 747},\n",
              " 620: {612, 616, 617, 618, 619, 628},\n",
              " 621: {613, 616, 617, 618, 619, 629},\n",
              " 622: {614, 616, 617, 618, 619, 630},\n",
              " 623: {615, 616, 617, 618, 619, 631},\n",
              " 624: {496, 628, 629, 630, 631, 752},\n",
              " 625: {497, 628, 629, 630, 631, 753},\n",
              " 626: {498, 628, 629, 630, 631, 754},\n",
              " 627: {499, 628, 629, 630, 631, 755},\n",
              " 628: {620, 624, 625, 626, 627, 636},\n",
              " 629: {621, 624, 625, 626, 627, 637},\n",
              " 630: {622, 624, 625, 626, 627, 638},\n",
              " 631: {623, 624, 625, 626, 627, 639},\n",
              " 632: {504, 636, 637, 638, 639, 760},\n",
              " 633: {505, 636, 637, 638, 639, 761},\n",
              " 634: {506, 636, 637, 638, 639, 762},\n",
              " 635: {507, 636, 637, 638, 639, 763},\n",
              " 636: {628, 632, 633, 634, 635},\n",
              " 637: {629, 632, 633, 634, 635},\n",
              " 638: {630, 632, 633, 634, 635},\n",
              " 639: {631, 632, 633, 634, 635},\n",
              " 640: {512, 644, 645, 646, 647, 768},\n",
              " 641: {513, 644, 645, 646, 647, 769},\n",
              " 642: {514, 644, 645, 646, 647, 770},\n",
              " 643: {515, 644, 645, 646, 647, 771},\n",
              " 644: {640, 641, 642, 643, 652},\n",
              " 645: {640, 641, 642, 643, 653},\n",
              " 646: {640, 641, 642, 643, 654},\n",
              " 647: {640, 641, 642, 643, 655},\n",
              " 648: {520, 652, 653, 654, 655, 776},\n",
              " 649: {521, 652, 653, 654, 655, 777},\n",
              " 650: {522, 652, 653, 654, 655, 778},\n",
              " 651: {523, 652, 653, 654, 655, 779},\n",
              " 652: {644, 648, 649, 650, 651, 660},\n",
              " 653: {645, 648, 649, 650, 651, 661},\n",
              " 654: {646, 648, 649, 650, 651, 662},\n",
              " 655: {647, 648, 649, 650, 651, 663},\n",
              " 656: {528, 660, 661, 662, 663, 784},\n",
              " 657: {529, 660, 661, 662, 663, 785},\n",
              " 658: {530, 660, 661, 662, 663, 786},\n",
              " 659: {531, 660, 661, 662, 663, 787},\n",
              " 660: {652, 656, 657, 658, 659, 668},\n",
              " 661: {653, 656, 657, 658, 659, 669},\n",
              " 662: {654, 656, 657, 658, 659, 670},\n",
              " 663: {655, 656, 657, 658, 659, 671},\n",
              " 664: {536, 668, 669, 670, 671, 792},\n",
              " 665: {537, 668, 669, 670, 671, 793},\n",
              " 666: {538, 668, 669, 670, 671, 794},\n",
              " 667: {539, 668, 669, 670, 671, 795},\n",
              " 668: {660, 664, 665, 666, 667, 676},\n",
              " 669: {661, 664, 665, 666, 667, 677},\n",
              " 670: {662, 664, 665, 666, 667, 678},\n",
              " 671: {663, 664, 665, 666, 667, 679},\n",
              " 672: {544, 676, 677, 678, 679, 800},\n",
              " 673: {545, 676, 677, 678, 679, 801},\n",
              " 674: {546, 676, 677, 678, 679, 802},\n",
              " 675: {547, 676, 677, 678, 679, 803},\n",
              " 676: {668, 672, 673, 674, 675, 684},\n",
              " 677: {669, 672, 673, 674, 675, 685},\n",
              " 678: {670, 672, 673, 674, 675, 686},\n",
              " 679: {671, 672, 673, 674, 675, 687},\n",
              " 680: {552, 684, 685, 686, 687, 808},\n",
              " 681: {553, 684, 685, 686, 687, 809},\n",
              " 682: {554, 684, 685, 686, 687, 810},\n",
              " 683: {555, 684, 685, 686, 687, 811},\n",
              " 684: {676, 680, 681, 682, 683, 692},\n",
              " 685: {677, 680, 681, 682, 683, 693},\n",
              " 686: {678, 680, 681, 682, 683, 694},\n",
              " 687: {679, 680, 681, 682, 683, 695},\n",
              " 688: {560, 692, 693, 694, 695, 816},\n",
              " 689: {561, 692, 693, 694, 695, 817},\n",
              " 690: {562, 692, 693, 694, 695, 818},\n",
              " 691: {563, 692, 693, 694, 695, 819},\n",
              " 692: {684, 688, 689, 690, 691, 700},\n",
              " 693: {685, 688, 689, 690, 691, 701},\n",
              " 694: {686, 688, 689, 690, 691, 702},\n",
              " 695: {687, 688, 689, 690, 691, 703},\n",
              " 696: {568, 700, 701, 702, 703, 824},\n",
              " 697: {569, 700, 701, 702, 703, 825},\n",
              " 698: {570, 700, 701, 702, 703, 826},\n",
              " 699: {571, 700, 701, 702, 703, 827},\n",
              " 700: {692, 696, 697, 698, 699, 708},\n",
              " 701: {693, 696, 697, 698, 699, 709},\n",
              " 702: {694, 696, 697, 698, 699, 710},\n",
              " 703: {695, 696, 697, 698, 699, 711},\n",
              " 704: {576, 708, 709, 710, 711, 832},\n",
              " 705: {577, 708, 709, 710, 711, 833},\n",
              " 706: {578, 708, 709, 710, 711, 834},\n",
              " 707: {579, 708, 709, 710, 711, 835},\n",
              " 708: {700, 704, 705, 706, 707, 716},\n",
              " 709: {701, 704, 705, 706, 707, 717},\n",
              " 710: {702, 704, 705, 706, 707, 718},\n",
              " 711: {703, 704, 705, 706, 707, 719},\n",
              " 712: {584, 716, 717, 718, 719, 840},\n",
              " 713: {585, 716, 717, 718, 719, 841},\n",
              " 714: {586, 716, 717, 718, 719, 842},\n",
              " 715: {587, 716, 717, 718, 719, 843},\n",
              " 716: {708, 712, 713, 714, 715, 724},\n",
              " 717: {709, 712, 713, 714, 715, 725},\n",
              " 718: {710, 712, 713, 714, 715, 726},\n",
              " 719: {711, 712, 713, 714, 715, 727},\n",
              " 720: {592, 724, 725, 726, 727, 848},\n",
              " 721: {593, 724, 725, 726, 727, 849},\n",
              " 722: {594, 724, 725, 726, 727, 850},\n",
              " 723: {595, 724, 725, 726, 727, 851},\n",
              " 724: {716, 720, 721, 722, 723, 732},\n",
              " 725: {717, 720, 721, 722, 723, 733},\n",
              " 726: {718, 720, 721, 722, 723, 734},\n",
              " 727: {719, 720, 721, 722, 723, 735},\n",
              " 728: {600, 732, 733, 734, 735, 856},\n",
              " 729: {601, 732, 733, 734, 735, 857},\n",
              " 730: {602, 732, 733, 734, 735, 858},\n",
              " 731: {603, 732, 733, 734, 735, 859},\n",
              " 732: {724, 728, 729, 730, 731, 740},\n",
              " 733: {725, 728, 729, 730, 731, 741},\n",
              " 734: {726, 728, 729, 730, 731, 742},\n",
              " 735: {727, 728, 729, 730, 731, 743},\n",
              " 736: {608, 740, 741, 742, 743, 864},\n",
              " 737: {609, 740, 741, 742, 743, 865},\n",
              " 738: {610, 740, 741, 742, 743, 866},\n",
              " 739: {611, 740, 741, 742, 743, 867},\n",
              " 740: {732, 736, 737, 738, 739, 748},\n",
              " 741: {733, 736, 737, 738, 739, 749},\n",
              " 742: {734, 736, 737, 738, 739, 750},\n",
              " 743: {735, 736, 737, 738, 739, 751},\n",
              " 744: {616, 748, 749, 750, 751, 872},\n",
              " 745: {617, 748, 749, 750, 751, 873},\n",
              " 746: {618, 748, 749, 750, 751, 874},\n",
              " 747: {619, 748, 749, 750, 751, 875},\n",
              " 748: {740, 744, 745, 746, 747, 756},\n",
              " 749: {741, 744, 745, 746, 747, 757},\n",
              " 750: {742, 744, 745, 746, 747, 758},\n",
              " 751: {743, 744, 745, 746, 747, 759},\n",
              " 752: {624, 756, 757, 758, 759, 880},\n",
              " 753: {625, 756, 757, 758, 759, 881},\n",
              " 754: {626, 756, 757, 758, 759, 882},\n",
              " 755: {627, 756, 757, 758, 759, 883},\n",
              " 756: {748, 752, 753, 754, 755, 764},\n",
              " 757: {749, 752, 753, 754, 755, 765},\n",
              " 758: {750, 752, 753, 754, 755, 766},\n",
              " 759: {751, 752, 753, 754, 755, 767},\n",
              " 760: {632, 764, 765, 766, 767, 888},\n",
              " 761: {633, 764, 765, 766, 767, 889},\n",
              " 762: {634, 764, 765, 766, 767, 890},\n",
              " 763: {635, 764, 765, 766, 767, 891},\n",
              " 764: {756, 760, 761, 762, 763},\n",
              " 765: {757, 760, 761, 762, 763},\n",
              " 766: {758, 760, 761, 762, 763},\n",
              " 767: {759, 760, 761, 762, 763},\n",
              " 768: {640, 772, 773, 774, 775, 896},\n",
              " 769: {641, 772, 773, 774, 775, 897},\n",
              " 770: {642, 772, 773, 774, 775, 898},\n",
              " 771: {643, 772, 773, 774, 775, 899},\n",
              " 772: {768, 769, 770, 771, 780},\n",
              " 773: {768, 769, 770, 771, 781},\n",
              " 774: {768, 769, 770, 771, 782},\n",
              " 775: {768, 769, 770, 771, 783},\n",
              " 776: {648, 780, 781, 782, 783, 904},\n",
              " 777: {649, 780, 781, 782, 783, 905},\n",
              " 778: {650, 780, 781, 782, 783, 906},\n",
              " 779: {651, 780, 781, 782, 783, 907},\n",
              " 780: {772, 776, 777, 778, 779, 788},\n",
              " 781: {773, 776, 777, 778, 779, 789},\n",
              " 782: {774, 776, 777, 778, 779, 790},\n",
              " 783: {775, 776, 777, 778, 779, 791},\n",
              " 784: {656, 788, 789, 790, 791, 912},\n",
              " 785: {657, 788, 789, 790, 791, 913},\n",
              " 786: {658, 788, 789, 790, 791, 914},\n",
              " 787: {659, 788, 789, 790, 791, 915},\n",
              " 788: {780, 784, 785, 786, 787, 796},\n",
              " 789: {781, 784, 785, 786, 787, 797},\n",
              " 790: {782, 784, 785, 786, 787, 798},\n",
              " 791: {783, 784, 785, 786, 787, 799},\n",
              " 792: {664, 796, 797, 798, 799, 920},\n",
              " 793: {665, 796, 797, 798, 799, 921},\n",
              " 794: {666, 796, 797, 798, 799, 922},\n",
              " 795: {667, 796, 797, 798, 799, 923},\n",
              " 796: {788, 792, 793, 794, 795, 804},\n",
              " 797: {789, 792, 793, 794, 795, 805},\n",
              " 798: {790, 792, 793, 794, 795, 806},\n",
              " 799: {791, 792, 793, 794, 795, 807},\n",
              " 800: {672, 804, 805, 806, 807, 928},\n",
              " 801: {673, 804, 805, 806, 807, 929},\n",
              " 802: {674, 804, 805, 806, 807, 930},\n",
              " 803: {675, 804, 805, 806, 807, 931},\n",
              " 804: {796, 800, 801, 802, 803, 812},\n",
              " 805: {797, 800, 801, 802, 803, 813},\n",
              " 806: {798, 800, 801, 802, 803, 814},\n",
              " 807: {799, 800, 801, 802, 803, 815},\n",
              " 808: {680, 812, 813, 814, 815, 936},\n",
              " 809: {681, 812, 813, 814, 815, 937},\n",
              " 810: {682, 812, 813, 814, 815, 938},\n",
              " 811: {683, 812, 813, 814, 815, 939},\n",
              " 812: {804, 808, 809, 810, 811, 820},\n",
              " 813: {805, 808, 809, 810, 811, 821},\n",
              " 814: {806, 808, 809, 810, 811, 822},\n",
              " 815: {807, 808, 809, 810, 811, 823},\n",
              " 816: {688, 820, 821, 822, 823, 944},\n",
              " 817: {689, 820, 821, 822, 823, 945},\n",
              " 818: {690, 820, 821, 822, 823, 946},\n",
              " 819: {691, 820, 821, 822, 823, 947},\n",
              " 820: {812, 816, 817, 818, 819, 828},\n",
              " 821: {813, 816, 817, 818, 819, 829},\n",
              " 822: {814, 816, 817, 818, 819, 830},\n",
              " 823: {815, 816, 817, 818, 819, 831},\n",
              " 824: {696, 828, 829, 830, 831, 952},\n",
              " 825: {697, 828, 829, 830, 831, 953},\n",
              " 826: {698, 828, 829, 830, 831, 954},\n",
              " 827: {699, 828, 829, 830, 831, 955},\n",
              " 828: {820, 824, 825, 826, 827, 836},\n",
              " 829: {821, 824, 825, 826, 827, 837},\n",
              " 830: {822, 824, 825, 826, 827, 838},\n",
              " 831: {823, 824, 825, 826, 827, 839},\n",
              " 832: {704, 836, 837, 838, 839, 960},\n",
              " 833: {705, 836, 837, 838, 839, 961},\n",
              " 834: {706, 836, 837, 838, 839, 962},\n",
              " 835: {707, 836, 837, 838, 839, 963},\n",
              " 836: {828, 832, 833, 834, 835, 844},\n",
              " 837: {829, 832, 833, 834, 835, 845},\n",
              " 838: {830, 832, 833, 834, 835, 846},\n",
              " 839: {831, 832, 833, 834, 835, 847},\n",
              " 840: {712, 844, 845, 846, 847, 968},\n",
              " 841: {713, 844, 845, 846, 847, 969},\n",
              " 842: {714, 844, 845, 846, 847, 970},\n",
              " 843: {715, 844, 845, 846, 847, 971},\n",
              " 844: {836, 840, 841, 842, 843, 852},\n",
              " 845: {837, 840, 841, 842, 843, 853},\n",
              " 846: {838, 840, 841, 842, 843, 854},\n",
              " 847: {839, 840, 841, 842, 843, 855},\n",
              " 848: {720, 852, 853, 854, 855, 976},\n",
              " 849: {721, 852, 853, 854, 855, 977},\n",
              " 850: {722, 852, 853, 854, 855, 978},\n",
              " 851: {723, 852, 853, 854, 855, 979},\n",
              " 852: {844, 848, 849, 850, 851, 860},\n",
              " 853: {845, 848, 849, 850, 851, 861},\n",
              " 854: {846, 848, 849, 850, 851, 862},\n",
              " 855: {847, 848, 849, 850, 851, 863},\n",
              " 856: {728, 860, 861, 862, 863, 984},\n",
              " 857: {729, 860, 861, 862, 863, 985},\n",
              " 858: {730, 860, 861, 862, 863, 986},\n",
              " 859: {731, 860, 861, 862, 863, 987},\n",
              " 860: {852, 856, 857, 858, 859, 868},\n",
              " 861: {853, 856, 857, 858, 859, 869},\n",
              " 862: {854, 856, 857, 858, 859, 870},\n",
              " 863: {855, 856, 857, 858, 859, 871},\n",
              " 864: {736, 868, 869, 870, 871, 992},\n",
              " 865: {737, 868, 869, 870, 871, 993},\n",
              " 866: {738, 868, 869, 870, 871, 994},\n",
              " 867: {739, 868, 869, 870, 871, 995},\n",
              " 868: {860, 864, 865, 866, 867, 876},\n",
              " 869: {861, 864, 865, 866, 867, 877},\n",
              " 870: {862, 864, 865, 866, 867, 878},\n",
              " 871: {863, 864, 865, 866, 867, 879},\n",
              " 872: {744, 876, 877, 878, 879, 1000},\n",
              " 873: {745, 876, 877, 878, 879, 1001},\n",
              " 874: {746, 876, 877, 878, 879, 1002},\n",
              " 875: {747, 876, 877, 878, 879, 1003},\n",
              " 876: {868, 872, 873, 874, 875, 884},\n",
              " 877: {869, 872, 873, 874, 875, 885},\n",
              " 878: {870, 872, 873, 874, 875, 886},\n",
              " 879: {871, 872, 873, 874, 875, 887},\n",
              " 880: {752, 884, 885, 886, 887, 1008},\n",
              " 881: {753, 884, 885, 886, 887, 1009},\n",
              " 882: {754, 884, 885, 886, 887, 1010},\n",
              " 883: {755, 884, 885, 886, 887, 1011},\n",
              " 884: {876, 880, 881, 882, 883, 892},\n",
              " 885: {877, 880, 881, 882, 883, 893},\n",
              " 886: {878, 880, 881, 882, 883, 894},\n",
              " 887: {879, 880, 881, 882, 883, 895},\n",
              " 888: {760, 892, 893, 894, 895, 1016},\n",
              " 889: {761, 892, 893, 894, 895, 1017},\n",
              " 890: {762, 892, 893, 894, 895, 1018},\n",
              " 891: {763, 892, 893, 894, 895, 1019},\n",
              " 892: {884, 888, 889, 890, 891},\n",
              " 893: {885, 888, 889, 890, 891},\n",
              " 894: {886, 888, 889, 890, 891},\n",
              " 895: {887, 888, 889, 890, 891},\n",
              " 896: {768, 900, 901, 902, 903, 1024},\n",
              " 897: {769, 900, 901, 902, 903, 1025},\n",
              " 898: {770, 900, 901, 902, 903, 1026},\n",
              " 899: {771, 900, 901, 902, 903, 1027},\n",
              " 900: {896, 897, 898, 899, 908},\n",
              " 901: {896, 897, 898, 899, 909},\n",
              " 902: {896, 897, 898, 899, 910},\n",
              " 903: {896, 897, 898, 899, 911},\n",
              " 904: {776, 908, 909, 910, 911, 1032},\n",
              " 905: {777, 908, 909, 910, 911, 1033},\n",
              " 906: {778, 908, 909, 910, 911, 1034},\n",
              " 907: {779, 908, 909, 910, 911, 1035},\n",
              " 908: {900, 904, 905, 906, 907, 916},\n",
              " 909: {901, 904, 905, 906, 907, 917},\n",
              " 910: {902, 904, 905, 906, 907, 918},\n",
              " 911: {903, 904, 905, 906, 907, 919},\n",
              " 912: {784, 916, 917, 918, 919, 1040},\n",
              " 913: {785, 916, 917, 918, 919, 1041},\n",
              " 914: {786, 916, 917, 918, 919, 1042},\n",
              " 915: {787, 916, 917, 918, 919, 1043},\n",
              " 916: {908, 912, 913, 914, 915, 924},\n",
              " 917: {909, 912, 913, 914, 915, 925},\n",
              " 918: {910, 912, 913, 914, 915, 926},\n",
              " 919: {911, 912, 913, 914, 915, 927},\n",
              " 920: {792, 924, 925, 926, 927, 1048},\n",
              " 921: {793, 924, 925, 926, 927, 1049},\n",
              " 922: {794, 924, 925, 926, 927, 1050},\n",
              " 923: {795, 924, 925, 926, 927, 1051},\n",
              " 924: {916, 920, 921, 922, 923, 932},\n",
              " 925: {917, 920, 921, 922, 923, 933},\n",
              " 926: {918, 920, 921, 922, 923, 934},\n",
              " 927: {919, 920, 921, 922, 923, 935},\n",
              " 928: {800, 932, 933, 934, 935, 1056},\n",
              " 929: {801, 932, 933, 934, 935, 1057},\n",
              " 930: {802, 932, 933, 934, 935, 1058},\n",
              " 931: {803, 932, 933, 934, 935, 1059},\n",
              " 932: {924, 928, 929, 930, 931, 940},\n",
              " 933: {925, 928, 929, 930, 931, 941},\n",
              " 934: {926, 928, 929, 930, 931, 942},\n",
              " 935: {927, 928, 929, 930, 931, 943},\n",
              " 936: {808, 940, 941, 942, 943, 1064},\n",
              " 937: {809, 940, 941, 942, 943, 1065},\n",
              " 938: {810, 940, 941, 942, 943, 1066},\n",
              " 939: {811, 940, 941, 942, 943, 1067},\n",
              " 940: {932, 936, 937, 938, 939, 948},\n",
              " 941: {933, 936, 937, 938, 939, 949},\n",
              " 942: {934, 936, 937, 938, 939, 950},\n",
              " 943: {935, 936, 937, 938, 939, 951},\n",
              " 944: {816, 948, 949, 950, 951, 1072},\n",
              " 945: {817, 948, 949, 950, 951, 1073},\n",
              " 946: {818, 948, 949, 950, 951, 1074},\n",
              " 947: {819, 948, 949, 950, 951, 1075},\n",
              " 948: {940, 944, 945, 946, 947, 956},\n",
              " 949: {941, 944, 945, 946, 947, 957},\n",
              " 950: {942, 944, 945, 946, 947, 958},\n",
              " 951: {943, 944, 945, 946, 947, 959},\n",
              " 952: {824, 956, 957, 958, 959, 1080},\n",
              " 953: {825, 956, 957, 958, 959, 1081},\n",
              " 954: {826, 956, 957, 958, 959, 1082},\n",
              " 955: {827, 956, 957, 958, 959, 1083},\n",
              " 956: {948, 952, 953, 954, 955, 964},\n",
              " 957: {949, 952, 953, 954, 955, 965},\n",
              " 958: {950, 952, 953, 954, 955, 966},\n",
              " 959: {951, 952, 953, 954, 955, 967},\n",
              " 960: {832, 964, 965, 966, 967, 1088},\n",
              " 961: {833, 964, 965, 966, 967, 1089},\n",
              " 962: {834, 964, 965, 966, 967, 1090},\n",
              " 963: {835, 964, 965, 966, 967, 1091},\n",
              " 964: {956, 960, 961, 962, 963, 972},\n",
              " 965: {957, 960, 961, 962, 963, 973},\n",
              " 966: {958, 960, 961, 962, 963, 974},\n",
              " 967: {959, 960, 961, 962, 963, 975},\n",
              " 968: {840, 972, 973, 974, 975, 1096},\n",
              " 969: {841, 972, 973, 974, 975, 1097},\n",
              " 970: {842, 972, 973, 974, 975, 1098},\n",
              " 971: {843, 972, 973, 974, 975, 1099},\n",
              " 972: {964, 968, 969, 970, 971, 980},\n",
              " 973: {965, 968, 969, 970, 971, 981},\n",
              " 974: {966, 968, 969, 970, 971, 982},\n",
              " 975: {967, 968, 969, 970, 971, 983},\n",
              " 976: {848, 980, 981, 982, 983, 1104},\n",
              " 977: {849, 980, 981, 982, 983, 1105},\n",
              " 978: {850, 980, 981, 982, 983, 1106},\n",
              " 979: {851, 980, 981, 982, 983, 1107},\n",
              " 980: {972, 976, 977, 978, 979, 988},\n",
              " 981: {973, 976, 977, 978, 979, 989},\n",
              " 982: {974, 976, 977, 978, 979, 990},\n",
              " 983: {975, 976, 977, 978, 979, 991},\n",
              " 984: {856, 988, 989, 990, 991, 1112},\n",
              " 985: {857, 988, 989, 990, 991, 1113},\n",
              " 986: {858, 988, 989, 990, 991, 1114},\n",
              " 987: {859, 988, 989, 990, 991, 1115},\n",
              " 988: {980, 984, 985, 986, 987, 996},\n",
              " 989: {981, 984, 985, 986, 987, 997},\n",
              " 990: {982, 984, 985, 986, 987, 998},\n",
              " 991: {983, 984, 985, 986, 987, 999},\n",
              " 992: {864, 996, 997, 998, 999, 1120},\n",
              " 993: {865, 996, 997, 998, 999, 1121},\n",
              " 994: {866, 996, 997, 998, 999, 1122},\n",
              " 995: {867, 996, 997, 998, 999, 1123},\n",
              " 996: {988, 992, 993, 994, 995, 1004},\n",
              " 997: {989, 992, 993, 994, 995, 1005},\n",
              " 998: {990, 992, 993, 994, 995, 1006},\n",
              " 999: {991, 992, 993, 994, 995, 1007},\n",
              " 1000: {872, 1004, 1005, 1006, 1007, 1128},\n",
              " 1001: {873, 1004, 1005, 1006, 1007, 1129},\n",
              " 1002: {874, 1004, 1005, 1006, 1007, 1130},\n",
              " 1003: {875, 1004, 1005, 1006, 1007, 1131},\n",
              " ...}"
            ]
          },
          "metadata": {},
          "execution_count": 22
        }
      ],
      "source": [
        "sampler.adjacency"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {
        "id": "zkBtmxgRCQhZ",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "1672fa6d-1df0-4164-a9bc-64778c41cf23"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{30: {31, 45, 2940, 2955, 2970, 2985},\n",
              " 31: {30, 32, 46, 3120, 3135, 3150, 3165},\n",
              " 32: {31, 33, 47, 3300, 3315, 3330, 3345},\n",
              " 33: {32, 34, 48, 3480, 3495, 3510, 3525},\n",
              " 34: {33, 35, 49, 3660, 3675, 3690, 3705},\n",
              " 35: {34, 36, 50, 3840, 3855, 3870, 3885},\n",
              " 36: {35, 37, 51, 4020, 4035, 4050, 4065},\n",
              " 37: {36, 38, 52, 4200, 4215, 4230, 4245},\n",
              " 38: {37, 39, 53, 4380, 4395, 4410, 4425},\n",
              " 39: {38, 40, 54, 4560, 4575, 4590, 4605},\n",
              " 40: {39, 41, 55, 4740, 4755, 4770, 4785},\n",
              " 41: {40, 42, 56, 4920, 4935, 4950, 4965},\n",
              " 42: {41, 43, 57, 5100, 5115, 5130, 5145},\n",
              " 43: {42, 44, 58, 5280, 5295, 5310, 5325},\n",
              " 44: {43, 59, 5460, 5475, 5490, 5505},\n",
              " 45: {30, 46, 2940, 2955, 2970, 2985},\n",
              " 46: {31, 45, 47, 3120, 3135, 3150, 3165},\n",
              " 47: {32, 46, 48, 3300, 3315, 3330, 3345},\n",
              " 48: {33, 47, 49, 3480, 3495, 3510, 3525},\n",
              " 49: {34, 48, 50, 3660, 3675, 3690, 3705},\n",
              " 50: {35, 49, 51, 3840, 3855, 3870, 3885},\n",
              " 51: {36, 50, 52, 4020, 4035, 4050, 4065},\n",
              " 52: {37, 51, 53, 4200, 4215, 4230, 4245},\n",
              " 53: {38, 52, 54, 4380, 4395, 4410, 4425},\n",
              " 54: {39, 53, 55, 4560, 4575, 4590, 4605},\n",
              " 55: {40, 54, 56, 4740, 4755, 4770, 4785},\n",
              " 56: {41, 55, 57, 4920, 4935, 4950, 4965},\n",
              " 57: {42, 56, 58, 5100, 5115, 5130, 5145},\n",
              " 58: {43, 57, 59, 5280, 5295, 5310, 5325},\n",
              " 59: {44, 58, 5460, 5475, 5490, 5505},\n",
              " 60: {61, 75, 3120, 3135, 3150, 3165},\n",
              " 61: {60, 62, 76, 3300, 3315, 3330, 3345},\n",
              " 62: {61, 63, 77, 3480, 3495, 3510, 3525},\n",
              " 63: {62, 64, 78, 3660, 3675, 3690, 3705},\n",
              " 64: {63, 65, 79, 3840, 3855, 3870, 3885},\n",
              " 65: {64, 66, 80, 4020, 4035, 4050, 4065},\n",
              " 66: {65, 67, 81, 4200, 4215, 4230, 4245},\n",
              " 67: {66, 68, 82, 4380, 4395, 4410, 4425},\n",
              " 68: {67, 69, 83, 4560, 4575, 4590, 4605},\n",
              " 69: {68, 70, 84, 4740, 4755, 4770, 4785},\n",
              " 70: {69, 71, 85, 4920, 4935, 4950, 4965},\n",
              " 71: {70, 72, 86, 5100, 5115, 5130, 5145},\n",
              " 72: {71, 73, 87, 5280, 5295, 5310, 5325},\n",
              " 73: {72, 74, 88, 5460, 5475, 5490, 5505},\n",
              " 74: {73, 89, 5640, 5655, 5670, 5685},\n",
              " 75: {60, 76, 3120, 3135, 3150, 3165},\n",
              " 76: {61, 75, 77, 3300, 3315, 3330, 3345},\n",
              " 77: {62, 76, 78, 3480, 3495, 3510, 3525},\n",
              " 78: {63, 77, 79, 3660, 3675, 3690, 3705},\n",
              " 79: {64, 78, 80, 3840, 3855, 3870, 3885},\n",
              " 80: {65, 79, 81, 4020, 4035, 4050, 4065},\n",
              " 81: {66, 80, 82, 4200, 4215, 4230, 4245},\n",
              " 82: {67, 81, 83, 4380, 4395, 4410, 4425},\n",
              " 83: {68, 82, 84, 4560, 4575, 4590, 4605},\n",
              " 84: {69, 83, 85, 4740, 4755, 4770, 4785},\n",
              " 85: {70, 84, 86, 4920, 4935, 4950, 4965},\n",
              " 86: {71, 85, 87, 5100, 5115, 5130, 5145},\n",
              " 87: {72, 86, 88, 5280, 5295, 5310, 5325},\n",
              " 88: {73, 87, 89, 5460, 5475, 5490, 5505},\n",
              " 89: {74, 88, 5640, 5655, 5670, 5685},\n",
              " 90: {91, 105, 3060, 3075, 3090, 3105, 3120, 3135, 3150, 3165},\n",
              " 91: {90, 92, 106, 3240, 3255, 3270, 3285, 3300, 3315, 3330, 3345},\n",
              " 92: {91, 93, 107, 3420, 3435, 3450, 3465, 3480, 3495, 3510, 3525},\n",
              " 93: {92, 94, 108, 3600, 3615, 3630, 3645, 3660, 3675, 3690, 3705},\n",
              " 94: {93, 95, 109, 3780, 3795, 3810, 3825, 3840, 3855, 3870, 3885},\n",
              " 95: {94, 96, 110, 3960, 3975, 3990, 4005, 4020, 4035, 4050, 4065},\n",
              " 96: {95, 97, 111, 4140, 4155, 4170, 4185, 4200, 4215, 4230, 4245},\n",
              " 97: {96, 98, 112, 4320, 4335, 4350, 4365, 4380, 4395, 4410, 4425},\n",
              " 98: {97, 99, 113, 4500, 4515, 4530, 4545, 4560, 4575, 4590, 4605},\n",
              " 99: {98, 100, 114, 4680, 4695, 4710, 4725, 4740, 4755, 4770, 4785},\n",
              " 100: {99, 101, 115, 4860, 4875, 4890, 4905, 4920, 4935, 4950, 4965},\n",
              " 101: {100, 102, 116, 5040, 5055, 5070, 5085, 5100, 5115, 5130, 5145},\n",
              " 102: {101, 103, 117, 5220, 5235, 5250, 5265, 5280, 5295, 5310, 5325},\n",
              " 103: {102, 104, 118, 5400, 5415, 5430, 5445, 5460, 5475, 5490, 5505},\n",
              " 104: {103, 119, 5580, 5595, 5610, 5625, 5640, 5655, 5670, 5685},\n",
              " 105: {90, 106, 3060, 3075, 3090, 3105, 3120, 3135, 3150, 3165},\n",
              " 106: {91, 105, 107, 3240, 3255, 3270, 3285, 3300, 3315, 3330, 3345},\n",
              " 107: {92, 106, 108, 3420, 3435, 3450, 3465, 3480, 3495, 3510, 3525},\n",
              " 108: {93, 107, 109, 3600, 3615, 3630, 3645, 3660, 3675, 3690, 3705},\n",
              " 109: {94, 108, 110, 3780, 3795, 3810, 3825, 3840, 3855, 3870, 3885},\n",
              " 110: {95, 109, 111, 3960, 3975, 3990, 4005, 4020, 4035, 4050, 4065},\n",
              " 111: {96, 110, 112, 4140, 4155, 4170, 4185, 4200, 4215, 4230, 4245},\n",
              " 112: {97, 111, 113, 4320, 4335, 4350, 4365, 4380, 4395, 4410, 4425},\n",
              " 113: {98, 112, 114, 4500, 4515, 4530, 4545, 4560, 4575, 4590, 4605},\n",
              " 114: {99, 113, 115, 4680, 4695, 4710, 4725, 4740, 4755, 4770, 4785},\n",
              " 115: {100, 114, 116, 4860, 4875, 4890, 4905, 4920, 4935, 4950, 4965},\n",
              " 116: {101, 115, 117, 5040, 5055, 5070, 5085, 5100, 5115, 5130, 5145},\n",
              " 117: {102, 116, 118, 5220, 5235, 5250, 5265, 5280, 5295, 5310, 5325},\n",
              " 118: {103, 117, 119, 5400, 5415, 5430, 5445, 5460, 5475, 5490, 5505},\n",
              " 119: {104, 118, 5580, 5595, 5610, 5625, 5640, 5655, 5670, 5685},\n",
              " 120: {121, 135, 2970, 2985, 3060, 3075, 3090, 3105, 3120, 3135},\n",
              " 121: {120, 122, 136, 3150, 3165, 3240, 3255, 3270, 3285, 3300, 3315},\n",
              " 122: {121, 123, 137, 3330, 3345, 3420, 3435, 3450, 3465, 3480, 3495},\n",
              " 123: {122, 124, 138, 3510, 3525, 3600, 3615, 3630, 3645, 3660, 3675},\n",
              " 124: {123, 125, 139, 3690, 3705, 3780, 3795, 3810, 3825, 3840, 3855},\n",
              " 125: {124, 126, 140, 3870, 3885, 3960, 3975, 3990, 4005, 4020, 4035},\n",
              " 126: {125, 127, 141, 4050, 4065, 4140, 4155, 4170, 4185, 4200, 4215},\n",
              " 127: {126, 128, 142, 4230, 4245, 4320, 4335, 4350, 4365, 4380, 4395},\n",
              " 128: {127, 129, 143, 4410, 4425, 4500, 4515, 4530, 4545, 4560, 4575},\n",
              " 129: {128, 130, 144, 4590, 4605, 4680, 4695, 4710, 4725, 4740, 4755},\n",
              " 130: {129, 131, 145, 4770, 4785, 4860, 4875, 4890, 4905, 4920, 4935},\n",
              " 131: {130, 132, 146, 4950, 4965, 5040, 5055, 5070, 5085, 5100, 5115},\n",
              " 132: {131, 133, 147, 5130, 5145, 5220, 5235, 5250, 5265, 5280, 5295},\n",
              " 133: {132, 134, 148, 5310, 5325, 5400, 5415, 5430, 5445, 5460, 5475},\n",
              " 134: {133, 149, 5490, 5505, 5580, 5595, 5610, 5625, 5640, 5655},\n",
              " 135: {120, 136, 2970, 2985, 3060, 3075, 3090, 3105, 3120, 3135},\n",
              " 136: {121, 135, 137, 3150, 3165, 3240, 3255, 3270, 3285, 3300, 3315},\n",
              " 137: {122, 136, 138, 3330, 3345, 3420, 3435, 3450, 3465, 3480, 3495},\n",
              " 138: {123, 137, 139, 3510, 3525, 3600, 3615, 3630, 3645, 3660, 3675},\n",
              " 139: {124, 138, 140, 3690, 3705, 3780, 3795, 3810, 3825, 3840, 3855},\n",
              " 140: {125, 139, 141, 3870, 3885, 3960, 3975, 3990, 4005, 4020, 4035},\n",
              " 141: {126, 140, 142, 4050, 4065, 4140, 4155, 4170, 4185, 4200, 4215},\n",
              " 142: {127, 141, 143, 4230, 4245, 4320, 4335, 4350, 4365, 4380, 4395},\n",
              " 143: {128, 142, 144, 4410, 4425, 4500, 4515, 4530, 4545, 4560, 4575},\n",
              " 144: {129, 143, 145, 4590, 4605, 4680, 4695, 4710, 4725, 4740, 4755},\n",
              " 145: {130, 144, 146, 4770, 4785, 4860, 4875, 4890, 4905, 4920, 4935},\n",
              " 146: {131, 145, 147, 4950, 4965, 5040, 5055, 5070, 5085, 5100, 5115},\n",
              " 147: {132, 146, 148, 5130, 5145, 5220, 5235, 5250, 5265, 5280, 5295},\n",
              " 148: {133, 147, 149, 5310, 5325, 5400, 5415, 5430, 5445, 5460, 5475},\n",
              " 149: {134, 148, 5490, 5505, 5580, 5595, 5610, 5625, 5640, 5655},\n",
              " 150: {151,\n",
              "  165,\n",
              "  2970,\n",
              "  2985,\n",
              "  3000,\n",
              "  3015,\n",
              "  3030,\n",
              "  3045,\n",
              "  3060,\n",
              "  3075,\n",
              "  3090,\n",
              "  3105,\n",
              "  3120,\n",
              "  3135},\n",
              " 151: {150,\n",
              "  152,\n",
              "  166,\n",
              "  3150,\n",
              "  3165,\n",
              "  3180,\n",
              "  3195,\n",
              "  3210,\n",
              "  3225,\n",
              "  3240,\n",
              "  3255,\n",
              "  3270,\n",
              "  3285,\n",
              "  3300,\n",
              "  3315},\n",
              " 152: {151,\n",
              "  153,\n",
              "  167,\n",
              "  3330,\n",
              "  3345,\n",
              "  3360,\n",
              "  3375,\n",
              "  3390,\n",
              "  3405,\n",
              "  3420,\n",
              "  3435,\n",
              "  3450,\n",
              "  3465,\n",
              "  3480,\n",
              "  3495},\n",
              " 153: {152,\n",
              "  154,\n",
              "  168,\n",
              "  3510,\n",
              "  3525,\n",
              "  3540,\n",
              "  3555,\n",
              "  3570,\n",
              "  3585,\n",
              "  3600,\n",
              "  3615,\n",
              "  3630,\n",
              "  3645,\n",
              "  3660,\n",
              "  3675},\n",
              " 154: {153,\n",
              "  155,\n",
              "  169,\n",
              "  3690,\n",
              "  3705,\n",
              "  3720,\n",
              "  3735,\n",
              "  3750,\n",
              "  3765,\n",
              "  3780,\n",
              "  3795,\n",
              "  3810,\n",
              "  3825,\n",
              "  3840,\n",
              "  3855},\n",
              " 155: {154,\n",
              "  156,\n",
              "  170,\n",
              "  3870,\n",
              "  3885,\n",
              "  3900,\n",
              "  3915,\n",
              "  3930,\n",
              "  3945,\n",
              "  3960,\n",
              "  3975,\n",
              "  3990,\n",
              "  4005,\n",
              "  4020,\n",
              "  4035},\n",
              " 156: {155,\n",
              "  157,\n",
              "  171,\n",
              "  4050,\n",
              "  4065,\n",
              "  4080,\n",
              "  4095,\n",
              "  4110,\n",
              "  4125,\n",
              "  4140,\n",
              "  4155,\n",
              "  4170,\n",
              "  4185,\n",
              "  4200,\n",
              "  4215},\n",
              " 157: {156,\n",
              "  158,\n",
              "  172,\n",
              "  4230,\n",
              "  4245,\n",
              "  4260,\n",
              "  4275,\n",
              "  4290,\n",
              "  4305,\n",
              "  4320,\n",
              "  4335,\n",
              "  4350,\n",
              "  4365,\n",
              "  4380,\n",
              "  4395},\n",
              " 158: {157,\n",
              "  159,\n",
              "  173,\n",
              "  4410,\n",
              "  4425,\n",
              "  4440,\n",
              "  4455,\n",
              "  4470,\n",
              "  4485,\n",
              "  4500,\n",
              "  4515,\n",
              "  4530,\n",
              "  4545,\n",
              "  4560,\n",
              "  4575},\n",
              " 159: {158,\n",
              "  160,\n",
              "  174,\n",
              "  4590,\n",
              "  4605,\n",
              "  4620,\n",
              "  4635,\n",
              "  4650,\n",
              "  4665,\n",
              "  4680,\n",
              "  4695,\n",
              "  4710,\n",
              "  4725,\n",
              "  4740,\n",
              "  4755},\n",
              " 160: {159,\n",
              "  161,\n",
              "  175,\n",
              "  4770,\n",
              "  4785,\n",
              "  4800,\n",
              "  4815,\n",
              "  4830,\n",
              "  4845,\n",
              "  4860,\n",
              "  4875,\n",
              "  4890,\n",
              "  4905,\n",
              "  4920,\n",
              "  4935},\n",
              " 161: {160,\n",
              "  162,\n",
              "  176,\n",
              "  4950,\n",
              "  4965,\n",
              "  4980,\n",
              "  4995,\n",
              "  5010,\n",
              "  5025,\n",
              "  5040,\n",
              "  5055,\n",
              "  5070,\n",
              "  5085,\n",
              "  5100,\n",
              "  5115},\n",
              " 162: {161,\n",
              "  163,\n",
              "  177,\n",
              "  5130,\n",
              "  5145,\n",
              "  5160,\n",
              "  5175,\n",
              "  5190,\n",
              "  5205,\n",
              "  5220,\n",
              "  5235,\n",
              "  5250,\n",
              "  5265,\n",
              "  5280,\n",
              "  5295},\n",
              " 163: {162,\n",
              "  164,\n",
              "  178,\n",
              "  5310,\n",
              "  5325,\n",
              "  5340,\n",
              "  5355,\n",
              "  5370,\n",
              "  5385,\n",
              "  5400,\n",
              "  5415,\n",
              "  5430,\n",
              "  5445,\n",
              "  5460,\n",
              "  5475},\n",
              " 164: {163,\n",
              "  179,\n",
              "  5490,\n",
              "  5505,\n",
              "  5520,\n",
              "  5535,\n",
              "  5550,\n",
              "  5565,\n",
              "  5580,\n",
              "  5595,\n",
              "  5610,\n",
              "  5625,\n",
              "  5640,\n",
              "  5655},\n",
              " 165: {150,\n",
              "  166,\n",
              "  2970,\n",
              "  2985,\n",
              "  3000,\n",
              "  3015,\n",
              "  3030,\n",
              "  3045,\n",
              "  3060,\n",
              "  3075,\n",
              "  3090,\n",
              "  3105,\n",
              "  3120,\n",
              "  3135},\n",
              " 166: {151,\n",
              "  165,\n",
              "  167,\n",
              "  3150,\n",
              "  3165,\n",
              "  3180,\n",
              "  3195,\n",
              "  3210,\n",
              "  3225,\n",
              "  3240,\n",
              "  3255,\n",
              "  3270,\n",
              "  3285,\n",
              "  3300,\n",
              "  3315},\n",
              " 167: {152,\n",
              "  166,\n",
              "  168,\n",
              "  3330,\n",
              "  3345,\n",
              "  3360,\n",
              "  3375,\n",
              "  3390,\n",
              "  3405,\n",
              "  3420,\n",
              "  3435,\n",
              "  3450,\n",
              "  3465,\n",
              "  3480,\n",
              "  3495},\n",
              " 168: {153,\n",
              "  167,\n",
              "  169,\n",
              "  3510,\n",
              "  3525,\n",
              "  3540,\n",
              "  3555,\n",
              "  3570,\n",
              "  3585,\n",
              "  3600,\n",
              "  3615,\n",
              "  3630,\n",
              "  3645,\n",
              "  3660,\n",
              "  3675},\n",
              " 169: {154,\n",
              "  168,\n",
              "  170,\n",
              "  3690,\n",
              "  3705,\n",
              "  3720,\n",
              "  3735,\n",
              "  3750,\n",
              "  3765,\n",
              "  3780,\n",
              "  3795,\n",
              "  3810,\n",
              "  3825,\n",
              "  3840,\n",
              "  3855},\n",
              " 170: {155,\n",
              "  169,\n",
              "  171,\n",
              "  3870,\n",
              "  3885,\n",
              "  3900,\n",
              "  3915,\n",
              "  3930,\n",
              "  3945,\n",
              "  3960,\n",
              "  3975,\n",
              "  3990,\n",
              "  4005,\n",
              "  4020,\n",
              "  4035},\n",
              " 171: {156,\n",
              "  170,\n",
              "  172,\n",
              "  4050,\n",
              "  4065,\n",
              "  4080,\n",
              "  4095,\n",
              "  4110,\n",
              "  4125,\n",
              "  4140,\n",
              "  4155,\n",
              "  4170,\n",
              "  4185,\n",
              "  4200,\n",
              "  4215},\n",
              " 172: {157,\n",
              "  171,\n",
              "  173,\n",
              "  4230,\n",
              "  4245,\n",
              "  4260,\n",
              "  4275,\n",
              "  4290,\n",
              "  4305,\n",
              "  4320,\n",
              "  4335,\n",
              "  4350,\n",
              "  4365,\n",
              "  4380,\n",
              "  4395},\n",
              " 173: {158,\n",
              "  172,\n",
              "  174,\n",
              "  4410,\n",
              "  4425,\n",
              "  4440,\n",
              "  4455,\n",
              "  4470,\n",
              "  4485,\n",
              "  4500,\n",
              "  4515,\n",
              "  4530,\n",
              "  4545,\n",
              "  4560,\n",
              "  4575},\n",
              " 174: {159,\n",
              "  173,\n",
              "  175,\n",
              "  4590,\n",
              "  4605,\n",
              "  4620,\n",
              "  4635,\n",
              "  4650,\n",
              "  4665,\n",
              "  4680,\n",
              "  4695,\n",
              "  4710,\n",
              "  4725,\n",
              "  4740,\n",
              "  4755},\n",
              " 175: {160,\n",
              "  174,\n",
              "  176,\n",
              "  4770,\n",
              "  4785,\n",
              "  4800,\n",
              "  4815,\n",
              "  4830,\n",
              "  4845,\n",
              "  4860,\n",
              "  4875,\n",
              "  4890,\n",
              "  4905,\n",
              "  4920,\n",
              "  4935},\n",
              " 176: {161,\n",
              "  175,\n",
              "  177,\n",
              "  4950,\n",
              "  4965,\n",
              "  4980,\n",
              "  4995,\n",
              "  5010,\n",
              "  5025,\n",
              "  5040,\n",
              "  5055,\n",
              "  5070,\n",
              "  5085,\n",
              "  5100,\n",
              "  5115},\n",
              " 177: {162,\n",
              "  176,\n",
              "  178,\n",
              "  5130,\n",
              "  5145,\n",
              "  5160,\n",
              "  5175,\n",
              "  5190,\n",
              "  5205,\n",
              "  5220,\n",
              "  5235,\n",
              "  5250,\n",
              "  5265,\n",
              "  5280,\n",
              "  5295},\n",
              " 178: {163,\n",
              "  177,\n",
              "  179,\n",
              "  5310,\n",
              "  5325,\n",
              "  5340,\n",
              "  5355,\n",
              "  5370,\n",
              "  5385,\n",
              "  5400,\n",
              "  5415,\n",
              "  5430,\n",
              "  5445,\n",
              "  5460,\n",
              "  5475},\n",
              " 179: {164,\n",
              "  178,\n",
              "  5490,\n",
              "  5505,\n",
              "  5520,\n",
              "  5535,\n",
              "  5550,\n",
              "  5565,\n",
              "  5580,\n",
              "  5595,\n",
              "  5610,\n",
              "  5625,\n",
              "  5640,\n",
              "  5655},\n",
              " 180: {181,\n",
              "  195,\n",
              "  2910,\n",
              "  2925,\n",
              "  2940,\n",
              "  2955,\n",
              "  2970,\n",
              "  2985,\n",
              "  3000,\n",
              "  3015,\n",
              "  3030,\n",
              "  3045,\n",
              "  3060,\n",
              "  3075},\n",
              " 181: {180,\n",
              "  182,\n",
              "  196,\n",
              "  3090,\n",
              "  3105,\n",
              "  3120,\n",
              "  3135,\n",
              "  3150,\n",
              "  3165,\n",
              "  3180,\n",
              "  3195,\n",
              "  3210,\n",
              "  3225,\n",
              "  3240,\n",
              "  3255},\n",
              " 182: {181,\n",
              "  183,\n",
              "  197,\n",
              "  3270,\n",
              "  3285,\n",
              "  3300,\n",
              "  3315,\n",
              "  3330,\n",
              "  3345,\n",
              "  3360,\n",
              "  3375,\n",
              "  3390,\n",
              "  3405,\n",
              "  3420,\n",
              "  3435},\n",
              " 183: {182,\n",
              "  184,\n",
              "  198,\n",
              "  3450,\n",
              "  3465,\n",
              "  3480,\n",
              "  3495,\n",
              "  3510,\n",
              "  3525,\n",
              "  3540,\n",
              "  3555,\n",
              "  3570,\n",
              "  3585,\n",
              "  3600,\n",
              "  3615},\n",
              " 184: {183,\n",
              "  185,\n",
              "  199,\n",
              "  3630,\n",
              "  3645,\n",
              "  3660,\n",
              "  3675,\n",
              "  3690,\n",
              "  3705,\n",
              "  3720,\n",
              "  3735,\n",
              "  3750,\n",
              "  3765,\n",
              "  3780,\n",
              "  3795},\n",
              " 185: {184,\n",
              "  186,\n",
              "  200,\n",
              "  3810,\n",
              "  3825,\n",
              "  3840,\n",
              "  3855,\n",
              "  3870,\n",
              "  3885,\n",
              "  3900,\n",
              "  3915,\n",
              "  3930,\n",
              "  3945,\n",
              "  3960,\n",
              "  3975},\n",
              " 186: {185,\n",
              "  187,\n",
              "  201,\n",
              "  3990,\n",
              "  4005,\n",
              "  4020,\n",
              "  4035,\n",
              "  4050,\n",
              "  4065,\n",
              "  4080,\n",
              "  4095,\n",
              "  4110,\n",
              "  4125,\n",
              "  4140,\n",
              "  4155},\n",
              " 187: {186,\n",
              "  188,\n",
              "  202,\n",
              "  4170,\n",
              "  4185,\n",
              "  4200,\n",
              "  4215,\n",
              "  4230,\n",
              "  4245,\n",
              "  4260,\n",
              "  4275,\n",
              "  4290,\n",
              "  4305,\n",
              "  4320,\n",
              "  4335},\n",
              " 188: {187,\n",
              "  189,\n",
              "  203,\n",
              "  4350,\n",
              "  4365,\n",
              "  4380,\n",
              "  4395,\n",
              "  4410,\n",
              "  4425,\n",
              "  4440,\n",
              "  4455,\n",
              "  4470,\n",
              "  4485,\n",
              "  4500,\n",
              "  4515},\n",
              " 189: {188,\n",
              "  190,\n",
              "  204,\n",
              "  4530,\n",
              "  4545,\n",
              "  4560,\n",
              "  4575,\n",
              "  4590,\n",
              "  4605,\n",
              "  4620,\n",
              "  4635,\n",
              "  4650,\n",
              "  4665,\n",
              "  4680,\n",
              "  4695},\n",
              " 190: {189,\n",
              "  191,\n",
              "  205,\n",
              "  4710,\n",
              "  4725,\n",
              "  4740,\n",
              "  4755,\n",
              "  4770,\n",
              "  4785,\n",
              "  4800,\n",
              "  4815,\n",
              "  4830,\n",
              "  4845,\n",
              "  4860,\n",
              "  4875},\n",
              " 191: {190,\n",
              "  192,\n",
              "  206,\n",
              "  4890,\n",
              "  4905,\n",
              "  4920,\n",
              "  4935,\n",
              "  4950,\n",
              "  4965,\n",
              "  4980,\n",
              "  4995,\n",
              "  5010,\n",
              "  5025,\n",
              "  5040,\n",
              "  5055},\n",
              " 192: {191,\n",
              "  193,\n",
              "  207,\n",
              "  5070,\n",
              "  5085,\n",
              "  5100,\n",
              "  5115,\n",
              "  5130,\n",
              "  5145,\n",
              "  5160,\n",
              "  5175,\n",
              "  5190,\n",
              "  5205,\n",
              "  5220,\n",
              "  5235},\n",
              " 193: {192,\n",
              "  194,\n",
              "  208,\n",
              "  5250,\n",
              "  5265,\n",
              "  5280,\n",
              "  5295,\n",
              "  5310,\n",
              "  5325,\n",
              "  5340,\n",
              "  5355,\n",
              "  5370,\n",
              "  5385,\n",
              "  5400,\n",
              "  5415},\n",
              " 194: {193,\n",
              "  209,\n",
              "  5430,\n",
              "  5445,\n",
              "  5460,\n",
              "  5475,\n",
              "  5490,\n",
              "  5505,\n",
              "  5520,\n",
              "  5535,\n",
              "  5550,\n",
              "  5565,\n",
              "  5580,\n",
              "  5595},\n",
              " 195: {180,\n",
              "  196,\n",
              "  2910,\n",
              "  2925,\n",
              "  2940,\n",
              "  2955,\n",
              "  2970,\n",
              "  2985,\n",
              "  3000,\n",
              "  3015,\n",
              "  3030,\n",
              "  3045,\n",
              "  3060,\n",
              "  3075},\n",
              " 196: {181,\n",
              "  195,\n",
              "  197,\n",
              "  3090,\n",
              "  3105,\n",
              "  3120,\n",
              "  3135,\n",
              "  3150,\n",
              "  3165,\n",
              "  3180,\n",
              "  3195,\n",
              "  3210,\n",
              "  3225,\n",
              "  3240,\n",
              "  3255},\n",
              " 197: {182,\n",
              "  196,\n",
              "  198,\n",
              "  3270,\n",
              "  3285,\n",
              "  3300,\n",
              "  3315,\n",
              "  3330,\n",
              "  3345,\n",
              "  3360,\n",
              "  3375,\n",
              "  3390,\n",
              "  3405,\n",
              "  3420,\n",
              "  3435},\n",
              " 198: {183,\n",
              "  197,\n",
              "  199,\n",
              "  3450,\n",
              "  3465,\n",
              "  3480,\n",
              "  3495,\n",
              "  3510,\n",
              "  3525,\n",
              "  3540,\n",
              "  3555,\n",
              "  3570,\n",
              "  3585,\n",
              "  3600,\n",
              "  3615},\n",
              " 199: {184,\n",
              "  198,\n",
              "  200,\n",
              "  3630,\n",
              "  3645,\n",
              "  3660,\n",
              "  3675,\n",
              "  3690,\n",
              "  3705,\n",
              "  3720,\n",
              "  3735,\n",
              "  3750,\n",
              "  3765,\n",
              "  3780,\n",
              "  3795},\n",
              " 200: {185,\n",
              "  199,\n",
              "  201,\n",
              "  3810,\n",
              "  3825,\n",
              "  3840,\n",
              "  3855,\n",
              "  3870,\n",
              "  3885,\n",
              "  3900,\n",
              "  3915,\n",
              "  3930,\n",
              "  3945,\n",
              "  3960,\n",
              "  3975},\n",
              " 201: {186,\n",
              "  200,\n",
              "  202,\n",
              "  3990,\n",
              "  4005,\n",
              "  4020,\n",
              "  4035,\n",
              "  4050,\n",
              "  4065,\n",
              "  4080,\n",
              "  4095,\n",
              "  4110,\n",
              "  4125,\n",
              "  4140,\n",
              "  4155},\n",
              " 202: {187,\n",
              "  201,\n",
              "  203,\n",
              "  4170,\n",
              "  4185,\n",
              "  4200,\n",
              "  4215,\n",
              "  4230,\n",
              "  4245,\n",
              "  4260,\n",
              "  4275,\n",
              "  4290,\n",
              "  4305,\n",
              "  4320,\n",
              "  4335},\n",
              " 203: {188,\n",
              "  202,\n",
              "  204,\n",
              "  4350,\n",
              "  4365,\n",
              "  4380,\n",
              "  4395,\n",
              "  4410,\n",
              "  4425,\n",
              "  4440,\n",
              "  4455,\n",
              "  4470,\n",
              "  4485,\n",
              "  4500,\n",
              "  4515},\n",
              " 204: {189,\n",
              "  203,\n",
              "  205,\n",
              "  4530,\n",
              "  4545,\n",
              "  4560,\n",
              "  4575,\n",
              "  4590,\n",
              "  4605,\n",
              "  4620,\n",
              "  4635,\n",
              "  4650,\n",
              "  4665,\n",
              "  4680,\n",
              "  4695},\n",
              " 205: {190,\n",
              "  204,\n",
              "  206,\n",
              "  4710,\n",
              "  4725,\n",
              "  4740,\n",
              "  4755,\n",
              "  4770,\n",
              "  4785,\n",
              "  4800,\n",
              "  4815,\n",
              "  4830,\n",
              "  4845,\n",
              "  4860,\n",
              "  4875},\n",
              " 206: {191,\n",
              "  205,\n",
              "  207,\n",
              "  4890,\n",
              "  4905,\n",
              "  4920,\n",
              "  4935,\n",
              "  4950,\n",
              "  4965,\n",
              "  4980,\n",
              "  4995,\n",
              "  5010,\n",
              "  5025,\n",
              "  5040,\n",
              "  5055},\n",
              " 207: {192,\n",
              "  206,\n",
              "  208,\n",
              "  5070,\n",
              "  5085,\n",
              "  5100,\n",
              "  5115,\n",
              "  5130,\n",
              "  5145,\n",
              "  5160,\n",
              "  5175,\n",
              "  5190,\n",
              "  5205,\n",
              "  5220,\n",
              "  5235},\n",
              " 208: {193,\n",
              "  207,\n",
              "  209,\n",
              "  5250,\n",
              "  5265,\n",
              "  5280,\n",
              "  5295,\n",
              "  5310,\n",
              "  5325,\n",
              "  5340,\n",
              "  5355,\n",
              "  5370,\n",
              "  5385,\n",
              "  5400,\n",
              "  5415},\n",
              " 209: {194,\n",
              "  208,\n",
              "  5430,\n",
              "  5445,\n",
              "  5460,\n",
              "  5475,\n",
              "  5490,\n",
              "  5505,\n",
              "  5520,\n",
              "  5535,\n",
              "  5550,\n",
              "  5565,\n",
              "  5580,\n",
              "  5595},\n",
              " 210: {211,\n",
              "  225,\n",
              "  2910,\n",
              "  2925,\n",
              "  2941,\n",
              "  2956,\n",
              "  2971,\n",
              "  2986,\n",
              "  3000,\n",
              "  3015,\n",
              "  3030,\n",
              "  3045,\n",
              "  3060,\n",
              "  3075},\n",
              " 211: {210,\n",
              "  212,\n",
              "  226,\n",
              "  3090,\n",
              "  3105,\n",
              "  3121,\n",
              "  3136,\n",
              "  3151,\n",
              "  3166,\n",
              "  3180,\n",
              "  3195,\n",
              "  3210,\n",
              "  3225,\n",
              "  3240,\n",
              "  3255},\n",
              " 212: {211,\n",
              "  213,\n",
              "  227,\n",
              "  3270,\n",
              "  3285,\n",
              "  3301,\n",
              "  3316,\n",
              "  3331,\n",
              "  3346,\n",
              "  3360,\n",
              "  3375,\n",
              "  3390,\n",
              "  3405,\n",
              "  3420,\n",
              "  3435},\n",
              " 213: {212,\n",
              "  214,\n",
              "  228,\n",
              "  3450,\n",
              "  3465,\n",
              "  3481,\n",
              "  3496,\n",
              "  3511,\n",
              "  3526,\n",
              "  3540,\n",
              "  3555,\n",
              "  3570,\n",
              "  3585,\n",
              "  3600,\n",
              "  3615},\n",
              " 214: {213,\n",
              "  215,\n",
              "  229,\n",
              "  3630,\n",
              "  3645,\n",
              "  3661,\n",
              "  3676,\n",
              "  3691,\n",
              "  3706,\n",
              "  3720,\n",
              "  3735,\n",
              "  3750,\n",
              "  3765,\n",
              "  3780,\n",
              "  3795},\n",
              " 215: {214,\n",
              "  216,\n",
              "  230,\n",
              "  3810,\n",
              "  3825,\n",
              "  3841,\n",
              "  3856,\n",
              "  3871,\n",
              "  3886,\n",
              "  3900,\n",
              "  3915,\n",
              "  3930,\n",
              "  3945,\n",
              "  3960,\n",
              "  3975},\n",
              " 216: {215,\n",
              "  217,\n",
              "  231,\n",
              "  3990,\n",
              "  4005,\n",
              "  4021,\n",
              "  4036,\n",
              "  4051,\n",
              "  4066,\n",
              "  4080,\n",
              "  4095,\n",
              "  4110,\n",
              "  4125,\n",
              "  4140,\n",
              "  4155},\n",
              " 217: {216,\n",
              "  218,\n",
              "  232,\n",
              "  4170,\n",
              "  4185,\n",
              "  4201,\n",
              "  4216,\n",
              "  4231,\n",
              "  4246,\n",
              "  4260,\n",
              "  4275,\n",
              "  4290,\n",
              "  4305,\n",
              "  4320,\n",
              "  4335},\n",
              " 218: {217,\n",
              "  219,\n",
              "  233,\n",
              "  4350,\n",
              "  4365,\n",
              "  4381,\n",
              "  4396,\n",
              "  4411,\n",
              "  4426,\n",
              "  4440,\n",
              "  4455,\n",
              "  4470,\n",
              "  4485,\n",
              "  4500,\n",
              "  4515},\n",
              " 219: {218,\n",
              "  220,\n",
              "  234,\n",
              "  4530,\n",
              "  4545,\n",
              "  4561,\n",
              "  4576,\n",
              "  4591,\n",
              "  4606,\n",
              "  4620,\n",
              "  4635,\n",
              "  4650,\n",
              "  4665,\n",
              "  4680,\n",
              "  4695},\n",
              " 220: {219,\n",
              "  221,\n",
              "  235,\n",
              "  4710,\n",
              "  4725,\n",
              "  4741,\n",
              "  4756,\n",
              "  4771,\n",
              "  4786,\n",
              "  4800,\n",
              "  4815,\n",
              "  4830,\n",
              "  4845,\n",
              "  4860,\n",
              "  4875},\n",
              " 221: {220,\n",
              "  222,\n",
              "  236,\n",
              "  4890,\n",
              "  4905,\n",
              "  4921,\n",
              "  4936,\n",
              "  4951,\n",
              "  4966,\n",
              "  4980,\n",
              "  4995,\n",
              "  5010,\n",
              "  5025,\n",
              "  5040,\n",
              "  5055},\n",
              " 222: {221,\n",
              "  223,\n",
              "  237,\n",
              "  5070,\n",
              "  5085,\n",
              "  5101,\n",
              "  5116,\n",
              "  5131,\n",
              "  5146,\n",
              "  5160,\n",
              "  5175,\n",
              "  5190,\n",
              "  5205,\n",
              "  5220,\n",
              "  5235},\n",
              " 223: {222,\n",
              "  224,\n",
              "  238,\n",
              "  5250,\n",
              "  5265,\n",
              "  5281,\n",
              "  5296,\n",
              "  5311,\n",
              "  5326,\n",
              "  5340,\n",
              "  5355,\n",
              "  5370,\n",
              "  5385,\n",
              "  5400,\n",
              "  5415},\n",
              " 224: {223,\n",
              "  239,\n",
              "  5430,\n",
              "  5445,\n",
              "  5461,\n",
              "  5476,\n",
              "  5491,\n",
              "  5506,\n",
              "  5520,\n",
              "  5535,\n",
              "  5550,\n",
              "  5565,\n",
              "  5580,\n",
              "  5595},\n",
              " 225: {210,\n",
              "  226,\n",
              "  2910,\n",
              "  2925,\n",
              "  2941,\n",
              "  2956,\n",
              "  2971,\n",
              "  2986,\n",
              "  3000,\n",
              "  3015,\n",
              "  3030,\n",
              "  3045,\n",
              "  3060,\n",
              "  3075},\n",
              " 226: {211,\n",
              "  225,\n",
              "  227,\n",
              "  3090,\n",
              "  3105,\n",
              "  3121,\n",
              "  3136,\n",
              "  3151,\n",
              "  3166,\n",
              "  3180,\n",
              "  3195,\n",
              "  3210,\n",
              "  3225,\n",
              "  3240,\n",
              "  3255},\n",
              " 227: {212,\n",
              "  226,\n",
              "  228,\n",
              "  3270,\n",
              "  3285,\n",
              "  3301,\n",
              "  3316,\n",
              "  3331,\n",
              "  3346,\n",
              "  3360,\n",
              "  3375,\n",
              "  3390,\n",
              "  3405,\n",
              "  3420,\n",
              "  3435},\n",
              " 228: {213,\n",
              "  227,\n",
              "  229,\n",
              "  3450,\n",
              "  3465,\n",
              "  3481,\n",
              "  3496,\n",
              "  3511,\n",
              "  3526,\n",
              "  3540,\n",
              "  3555,\n",
              "  3570,\n",
              "  3585,\n",
              "  3600,\n",
              "  3615},\n",
              " 229: {214,\n",
              "  228,\n",
              "  230,\n",
              "  3630,\n",
              "  3645,\n",
              "  3661,\n",
              "  3676,\n",
              "  3691,\n",
              "  3706,\n",
              "  3720,\n",
              "  3735,\n",
              "  3750,\n",
              "  3765,\n",
              "  3780,\n",
              "  3795},\n",
              " 230: {215,\n",
              "  229,\n",
              "  231,\n",
              "  3810,\n",
              "  3825,\n",
              "  3841,\n",
              "  3856,\n",
              "  3871,\n",
              "  3886,\n",
              "  3900,\n",
              "  3915,\n",
              "  3930,\n",
              "  3945,\n",
              "  3960,\n",
              "  3975},\n",
              " 231: {216,\n",
              "  230,\n",
              "  232,\n",
              "  3990,\n",
              "  4005,\n",
              "  4021,\n",
              "  4036,\n",
              "  4051,\n",
              "  4066,\n",
              "  4080,\n",
              "  4095,\n",
              "  4110,\n",
              "  4125,\n",
              "  4140,\n",
              "  4155},\n",
              " 232: {217,\n",
              "  231,\n",
              "  233,\n",
              "  4170,\n",
              "  4185,\n",
              "  4201,\n",
              "  4216,\n",
              "  4231,\n",
              "  4246,\n",
              "  4260,\n",
              "  4275,\n",
              "  4290,\n",
              "  4305,\n",
              "  4320,\n",
              "  4335},\n",
              " 233: {218,\n",
              "  232,\n",
              "  234,\n",
              "  4350,\n",
              "  4365,\n",
              "  4381,\n",
              "  4396,\n",
              "  4411,\n",
              "  4426,\n",
              "  4440,\n",
              "  4455,\n",
              "  4470,\n",
              "  4485,\n",
              "  4500,\n",
              "  4515},\n",
              " 234: {219,\n",
              "  233,\n",
              "  235,\n",
              "  4530,\n",
              "  4545,\n",
              "  4561,\n",
              "  4576,\n",
              "  4591,\n",
              "  4606,\n",
              "  4620,\n",
              "  4635,\n",
              "  4650,\n",
              "  4665,\n",
              "  4680,\n",
              "  4695},\n",
              " 235: {220,\n",
              "  234,\n",
              "  236,\n",
              "  4710,\n",
              "  4725,\n",
              "  4741,\n",
              "  4756,\n",
              "  4771,\n",
              "  4786,\n",
              "  4800,\n",
              "  4815,\n",
              "  4830,\n",
              "  4845,\n",
              "  4860,\n",
              "  4875},\n",
              " 236: {221,\n",
              "  235,\n",
              "  237,\n",
              "  4890,\n",
              "  4905,\n",
              "  4921,\n",
              "  4936,\n",
              "  4951,\n",
              "  4966,\n",
              "  4980,\n",
              "  4995,\n",
              "  5010,\n",
              "  5025,\n",
              "  5040,\n",
              "  5055},\n",
              " 237: {222,\n",
              "  236,\n",
              "  238,\n",
              "  5070,\n",
              "  5085,\n",
              "  5101,\n",
              "  5116,\n",
              "  5131,\n",
              "  5146,\n",
              "  5160,\n",
              "  5175,\n",
              "  5190,\n",
              "  5205,\n",
              "  5220,\n",
              "  5235},\n",
              " 238: {223,\n",
              "  237,\n",
              "  239,\n",
              "  5250,\n",
              "  5265,\n",
              "  5281,\n",
              "  5296,\n",
              "  5311,\n",
              "  5326,\n",
              "  5340,\n",
              "  5355,\n",
              "  5370,\n",
              "  5385,\n",
              "  5400,\n",
              "  5415},\n",
              " 239: {224,\n",
              "  238,\n",
              "  5430,\n",
              "  5445,\n",
              "  5461,\n",
              "  5476,\n",
              "  5491,\n",
              "  5506,\n",
              "  5520,\n",
              "  5535,\n",
              "  5550,\n",
              "  5565,\n",
              "  5580,\n",
              "  5595},\n",
              " 240: {241,\n",
              "  255,\n",
              "  3030,\n",
              "  3045,\n",
              "  3060,\n",
              "  3075,\n",
              "  3090,\n",
              "  3105,\n",
              "  3121,\n",
              "  3136,\n",
              "  3151,\n",
              "  3166,\n",
              "  3180,\n",
              "  3195},\n",
              " 241: {240,\n",
              "  242,\n",
              "  256,\n",
              "  3210,\n",
              "  3225,\n",
              "  3240,\n",
              "  3255,\n",
              "  3270,\n",
              "  3285,\n",
              "  3301,\n",
              "  3316,\n",
              "  3331,\n",
              "  3346,\n",
              "  3360,\n",
              "  3375},\n",
              " 242: {241,\n",
              "  243,\n",
              "  257,\n",
              "  3390,\n",
              "  3405,\n",
              "  3420,\n",
              "  3435,\n",
              "  3450,\n",
              "  3465,\n",
              "  3481,\n",
              "  3496,\n",
              "  3511,\n",
              "  3526,\n",
              "  3540,\n",
              "  3555},\n",
              " 243: {242,\n",
              "  244,\n",
              "  258,\n",
              "  3570,\n",
              "  3585,\n",
              "  3600,\n",
              "  3615,\n",
              "  3630,\n",
              "  3645,\n",
              "  3661,\n",
              "  3676,\n",
              "  3691,\n",
              "  3706,\n",
              "  3720,\n",
              "  3735},\n",
              " 244: {243,\n",
              "  245,\n",
              "  259,\n",
              "  3750,\n",
              "  3765,\n",
              "  3780,\n",
              "  3795,\n",
              "  3810,\n",
              "  3825,\n",
              "  3841,\n",
              "  3856,\n",
              "  3871,\n",
              "  3886,\n",
              "  3900,\n",
              "  3915},\n",
              " 245: {244,\n",
              "  246,\n",
              "  260,\n",
              "  3930,\n",
              "  3945,\n",
              "  3960,\n",
              "  3975,\n",
              "  3990,\n",
              "  4005,\n",
              "  4021,\n",
              "  4036,\n",
              "  4051,\n",
              "  4066,\n",
              "  4080,\n",
              "  4095},\n",
              " 246: {245,\n",
              "  247,\n",
              "  261,\n",
              "  4110,\n",
              "  4125,\n",
              "  4140,\n",
              "  4155,\n",
              "  4170,\n",
              "  4185,\n",
              "  4201,\n",
              "  4216,\n",
              "  4231,\n",
              "  4246,\n",
              "  4260,\n",
              "  4275},\n",
              " 247: {246,\n",
              "  248,\n",
              "  262,\n",
              "  4290,\n",
              "  4305,\n",
              "  4320,\n",
              "  4335,\n",
              "  4350,\n",
              "  4365,\n",
              "  4381,\n",
              "  4396,\n",
              "  4411,\n",
              "  4426,\n",
              "  4440,\n",
              "  4455},\n",
              " 248: {247,\n",
              "  249,\n",
              "  263,\n",
              "  4470,\n",
              "  4485,\n",
              "  4500,\n",
              "  4515,\n",
              "  4530,\n",
              "  4545,\n",
              "  4561,\n",
              "  4576,\n",
              "  4591,\n",
              "  4606,\n",
              "  4620,\n",
              "  4635},\n",
              " 249: {248,\n",
              "  250,\n",
              "  264,\n",
              "  4650,\n",
              "  4665,\n",
              "  4680,\n",
              "  4695,\n",
              "  4710,\n",
              "  4725,\n",
              "  4741,\n",
              "  4756,\n",
              "  4771,\n",
              "  4786,\n",
              "  4800,\n",
              "  4815},\n",
              " 250: {249,\n",
              "  251,\n",
              "  265,\n",
              "  4830,\n",
              "  4845,\n",
              "  4860,\n",
              "  4875,\n",
              "  4890,\n",
              "  4905,\n",
              "  4921,\n",
              "  4936,\n",
              "  4951,\n",
              "  4966,\n",
              "  4980,\n",
              "  4995},\n",
              " 251: {250,\n",
              "  252,\n",
              "  266,\n",
              "  5010,\n",
              "  5025,\n",
              "  5040,\n",
              "  5055,\n",
              "  5070,\n",
              "  5085,\n",
              "  5101,\n",
              "  5116,\n",
              "  5131,\n",
              "  5146,\n",
              "  5160,\n",
              "  5175},\n",
              " 252: {251,\n",
              "  253,\n",
              "  267,\n",
              "  5190,\n",
              "  5205,\n",
              "  5220,\n",
              "  5235,\n",
              "  5250,\n",
              "  5265,\n",
              "  5281,\n",
              "  5296,\n",
              "  5311,\n",
              "  5326,\n",
              "  5340,\n",
              "  5355},\n",
              " 253: {252,\n",
              "  254,\n",
              "  268,\n",
              "  5370,\n",
              "  5385,\n",
              "  5400,\n",
              "  5415,\n",
              "  5430,\n",
              "  5445,\n",
              "  5461,\n",
              "  5476,\n",
              "  5491,\n",
              "  5506,\n",
              "  5520,\n",
              "  5535},\n",
              " 254: {253,\n",
              "  269,\n",
              "  5550,\n",
              "  5565,\n",
              "  5580,\n",
              "  5595,\n",
              "  5610,\n",
              "  5625,\n",
              "  5641,\n",
              "  5656,\n",
              "  5671,\n",
              "  5686,\n",
              "  5700,\n",
              "  5715},\n",
              " 255: {240,\n",
              "  256,\n",
              "  3030,\n",
              "  3045,\n",
              "  3060,\n",
              "  3075,\n",
              "  3090,\n",
              "  3105,\n",
              "  3121,\n",
              "  3136,\n",
              "  3151,\n",
              "  3166,\n",
              "  3180,\n",
              "  3195},\n",
              " 256: {241,\n",
              "  255,\n",
              "  257,\n",
              "  3210,\n",
              "  3225,\n",
              "  3240,\n",
              "  3255,\n",
              "  3270,\n",
              "  3285,\n",
              "  3301,\n",
              "  3316,\n",
              "  3331,\n",
              "  3346,\n",
              "  3360,\n",
              "  3375},\n",
              " 257: {242,\n",
              "  256,\n",
              "  258,\n",
              "  3390,\n",
              "  3405,\n",
              "  3420,\n",
              "  3435,\n",
              "  3450,\n",
              "  3465,\n",
              "  3481,\n",
              "  3496,\n",
              "  3511,\n",
              "  3526,\n",
              "  3540,\n",
              "  3555},\n",
              " 258: {243,\n",
              "  257,\n",
              "  259,\n",
              "  3570,\n",
              "  3585,\n",
              "  3600,\n",
              "  3615,\n",
              "  3630,\n",
              "  3645,\n",
              "  3661,\n",
              "  3676,\n",
              "  3691,\n",
              "  3706,\n",
              "  3720,\n",
              "  3735},\n",
              " 259: {244,\n",
              "  258,\n",
              "  260,\n",
              "  3750,\n",
              "  3765,\n",
              "  3780,\n",
              "  3795,\n",
              "  3810,\n",
              "  3825,\n",
              "  3841,\n",
              "  3856,\n",
              "  3871,\n",
              "  3886,\n",
              "  3900,\n",
              "  3915},\n",
              " 260: {245,\n",
              "  259,\n",
              "  261,\n",
              "  3930,\n",
              "  3945,\n",
              "  3960,\n",
              "  3975,\n",
              "  3990,\n",
              "  4005,\n",
              "  4021,\n",
              "  4036,\n",
              "  4051,\n",
              "  4066,\n",
              "  4080,\n",
              "  4095},\n",
              " 261: {246,\n",
              "  260,\n",
              "  262,\n",
              "  4110,\n",
              "  4125,\n",
              "  4140,\n",
              "  4155,\n",
              "  4170,\n",
              "  4185,\n",
              "  4201,\n",
              "  4216,\n",
              "  4231,\n",
              "  4246,\n",
              "  4260,\n",
              "  4275},\n",
              " 262: {247,\n",
              "  261,\n",
              "  263,\n",
              "  4290,\n",
              "  4305,\n",
              "  4320,\n",
              "  4335,\n",
              "  4350,\n",
              "  4365,\n",
              "  4381,\n",
              "  4396,\n",
              "  4411,\n",
              "  4426,\n",
              "  4440,\n",
              "  4455},\n",
              " 263: {248,\n",
              "  262,\n",
              "  264,\n",
              "  4470,\n",
              "  4485,\n",
              "  4500,\n",
              "  4515,\n",
              "  4530,\n",
              "  4545,\n",
              "  4561,\n",
              "  4576,\n",
              "  4591,\n",
              "  4606,\n",
              "  4620,\n",
              "  4635},\n",
              " 264: {249,\n",
              "  263,\n",
              "  265,\n",
              "  4650,\n",
              "  4665,\n",
              "  4680,\n",
              "  4695,\n",
              "  4710,\n",
              "  4725,\n",
              "  4741,\n",
              "  4756,\n",
              "  4771,\n",
              "  4786,\n",
              "  4800,\n",
              "  4815},\n",
              " 265: {250,\n",
              "  264,\n",
              "  266,\n",
              "  4830,\n",
              "  4845,\n",
              "  4860,\n",
              "  4875,\n",
              "  4890,\n",
              "  4905,\n",
              "  4921,\n",
              "  4936,\n",
              "  4951,\n",
              "  4966,\n",
              "  4980,\n",
              "  4995},\n",
              " 266: {251,\n",
              "  265,\n",
              "  267,\n",
              "  5010,\n",
              "  5025,\n",
              "  5040,\n",
              "  5055,\n",
              "  5070,\n",
              "  5085,\n",
              "  5101,\n",
              "  5116,\n",
              "  5131,\n",
              "  5146,\n",
              "  5160,\n",
              "  5175},\n",
              " 267: {252,\n",
              "  266,\n",
              "  268,\n",
              "  5190,\n",
              "  5205,\n",
              "  5220,\n",
              "  5235,\n",
              "  5250,\n",
              "  5265,\n",
              "  5281,\n",
              "  5296,\n",
              "  5311,\n",
              "  5326,\n",
              "  5340,\n",
              "  5355},\n",
              " 268: {253,\n",
              "  267,\n",
              "  269,\n",
              "  5370,\n",
              "  5385,\n",
              "  5400,\n",
              "  5415,\n",
              "  5430,\n",
              "  5445,\n",
              "  5461,\n",
              "  5476,\n",
              "  5491,\n",
              "  5506,\n",
              "  5520,\n",
              "  5535},\n",
              " 269: {254,\n",
              "  268,\n",
              "  5550,\n",
              "  5565,\n",
              "  5580,\n",
              "  5595,\n",
              "  5610,\n",
              "  5625,\n",
              "  5641,\n",
              "  5656,\n",
              "  5671,\n",
              "  5686,\n",
              "  5700,\n",
              "  5715},\n",
              " 270: {271,\n",
              "  285,\n",
              "  3030,\n",
              "  3045,\n",
              "  3061,\n",
              "  3076,\n",
              "  3091,\n",
              "  3106,\n",
              "  3121,\n",
              "  3136,\n",
              "  3151,\n",
              "  3166,\n",
              "  3180,\n",
              "  3195},\n",
              " 271: {270,\n",
              "  272,\n",
              "  286,\n",
              "  3210,\n",
              "  3225,\n",
              "  3241,\n",
              "  3256,\n",
              "  3271,\n",
              "  3286,\n",
              "  3301,\n",
              "  3316,\n",
              "  3331,\n",
              "  3346,\n",
              "  3360,\n",
              "  3375},\n",
              " 272: {271,\n",
              "  273,\n",
              "  287,\n",
              "  3390,\n",
              "  3405,\n",
              "  3421,\n",
              "  3436,\n",
              "  3451,\n",
              "  3466,\n",
              "  3481,\n",
              "  3496,\n",
              "  3511,\n",
              "  3526,\n",
              "  3540,\n",
              "  3555},\n",
              " 273: {272,\n",
              "  274,\n",
              "  288,\n",
              "  3570,\n",
              "  3585,\n",
              "  3601,\n",
              "  3616,\n",
              "  3631,\n",
              "  3646,\n",
              "  3661,\n",
              "  3676,\n",
              "  3691,\n",
              "  3706,\n",
              "  3720,\n",
              "  3735},\n",
              " 274: {273,\n",
              "  275,\n",
              "  289,\n",
              "  3750,\n",
              "  3765,\n",
              "  3781,\n",
              "  3796,\n",
              "  3811,\n",
              "  3826,\n",
              "  3841,\n",
              "  3856,\n",
              "  3871,\n",
              "  3886,\n",
              "  3900,\n",
              "  3915},\n",
              " 275: {274,\n",
              "  276,\n",
              "  290,\n",
              "  3930,\n",
              "  3945,\n",
              "  3961,\n",
              "  3976,\n",
              "  3991,\n",
              "  4006,\n",
              "  4021,\n",
              "  4036,\n",
              "  4051,\n",
              "  4066,\n",
              "  4080,\n",
              "  4095},\n",
              " 276: {275,\n",
              "  277,\n",
              "  291,\n",
              "  4110,\n",
              "  4125,\n",
              "  4141,\n",
              "  4156,\n",
              "  4171,\n",
              "  4186,\n",
              "  4201,\n",
              "  4216,\n",
              "  4231,\n",
              "  4246,\n",
              "  4260,\n",
              "  4275},\n",
              " 277: {276,\n",
              "  278,\n",
              "  292,\n",
              "  4290,\n",
              "  4305,\n",
              "  4321,\n",
              "  4336,\n",
              "  4351,\n",
              "  4366,\n",
              "  4381,\n",
              "  4396,\n",
              "  4411,\n",
              "  4426,\n",
              "  4440,\n",
              "  4455},\n",
              " 278: {277,\n",
              "  279,\n",
              "  293,\n",
              "  4470,\n",
              "  4485,\n",
              "  4501,\n",
              "  4516,\n",
              "  4531,\n",
              "  4546,\n",
              "  4561,\n",
              "  4576,\n",
              "  4591,\n",
              "  4606,\n",
              "  4620,\n",
              "  4635},\n",
              " 279: {278,\n",
              "  280,\n",
              "  294,\n",
              "  4650,\n",
              "  4665,\n",
              "  4681,\n",
              "  4696,\n",
              "  4711,\n",
              "  4726,\n",
              "  4741,\n",
              "  4756,\n",
              "  4771,\n",
              "  4786,\n",
              "  4800,\n",
              "  4815},\n",
              " 280: {279,\n",
              "  281,\n",
              "  295,\n",
              "  4830,\n",
              "  4845,\n",
              "  4861,\n",
              "  4876,\n",
              "  4891,\n",
              "  4906,\n",
              "  4921,\n",
              "  4936,\n",
              "  4951,\n",
              "  4966,\n",
              "  4980,\n",
              "  4995},\n",
              " 281: {280,\n",
              "  282,\n",
              "  296,\n",
              "  5010,\n",
              "  5025,\n",
              "  5041,\n",
              "  5056,\n",
              "  5071,\n",
              "  5086,\n",
              "  5101,\n",
              "  5116,\n",
              "  5131,\n",
              "  5146,\n",
              "  5160,\n",
              "  5175},\n",
              " 282: {281,\n",
              "  283,\n",
              "  297,\n",
              "  5190,\n",
              "  5205,\n",
              "  5221,\n",
              "  5236,\n",
              "  5251,\n",
              "  5266,\n",
              "  5281,\n",
              "  5296,\n",
              "  5311,\n",
              "  5326,\n",
              "  5340,\n",
              "  5355},\n",
              " 283: {282,\n",
              "  284,\n",
              "  298,\n",
              "  5370,\n",
              "  5385,\n",
              "  5401,\n",
              "  5416,\n",
              "  5431,\n",
              "  5446,\n",
              "  5461,\n",
              "  5476,\n",
              "  5491,\n",
              "  5506,\n",
              "  5520,\n",
              "  5535},\n",
              " 284: {283,\n",
              "  299,\n",
              "  5550,\n",
              "  5565,\n",
              "  5581,\n",
              "  5596,\n",
              "  5611,\n",
              "  5626,\n",
              "  5641,\n",
              "  5656,\n",
              "  5671,\n",
              "  5686,\n",
              "  5700,\n",
              "  5715},\n",
              " 285: {270,\n",
              "  286,\n",
              "  3030,\n",
              "  3045,\n",
              "  3061,\n",
              "  3076,\n",
              "  3091,\n",
              "  3106,\n",
              "  3121,\n",
              "  3136,\n",
              "  3151,\n",
              "  3166,\n",
              "  3180,\n",
              "  3195},\n",
              " 286: {271,\n",
              "  285,\n",
              "  287,\n",
              "  3210,\n",
              "  3225,\n",
              "  3241,\n",
              "  3256,\n",
              "  3271,\n",
              "  3286,\n",
              "  3301,\n",
              "  3316,\n",
              "  3331,\n",
              "  3346,\n",
              "  3360,\n",
              "  3375},\n",
              " 287: {272,\n",
              "  286,\n",
              "  288,\n",
              "  3390,\n",
              "  3405,\n",
              "  3421,\n",
              "  3436,\n",
              "  3451,\n",
              "  3466,\n",
              "  3481,\n",
              "  3496,\n",
              "  3511,\n",
              "  3526,\n",
              "  3540,\n",
              "  3555},\n",
              " 288: {273,\n",
              "  287,\n",
              "  289,\n",
              "  3570,\n",
              "  3585,\n",
              "  3601,\n",
              "  3616,\n",
              "  3631,\n",
              "  3646,\n",
              "  3661,\n",
              "  3676,\n",
              "  3691,\n",
              "  3706,\n",
              "  3720,\n",
              "  3735},\n",
              " 289: {274,\n",
              "  288,\n",
              "  290,\n",
              "  3750,\n",
              "  3765,\n",
              "  3781,\n",
              "  3796,\n",
              "  3811,\n",
              "  3826,\n",
              "  3841,\n",
              "  3856,\n",
              "  3871,\n",
              "  3886,\n",
              "  3900,\n",
              "  3915},\n",
              " 290: {275,\n",
              "  289,\n",
              "  291,\n",
              "  3930,\n",
              "  3945,\n",
              "  3961,\n",
              "  3976,\n",
              "  3991,\n",
              "  4006,\n",
              "  4021,\n",
              "  4036,\n",
              "  4051,\n",
              "  4066,\n",
              "  4080,\n",
              "  4095},\n",
              " 291: {276,\n",
              "  290,\n",
              "  292,\n",
              "  4110,\n",
              "  4125,\n",
              "  4141,\n",
              "  4156,\n",
              "  4171,\n",
              "  4186,\n",
              "  4201,\n",
              "  4216,\n",
              "  4231,\n",
              "  4246,\n",
              "  4260,\n",
              "  4275},\n",
              " 292: {277,\n",
              "  291,\n",
              "  293,\n",
              "  4290,\n",
              "  4305,\n",
              "  4321,\n",
              "  4336,\n",
              "  4351,\n",
              "  4366,\n",
              "  4381,\n",
              "  4396,\n",
              "  4411,\n",
              "  4426,\n",
              "  4440,\n",
              "  4455},\n",
              " 293: {278,\n",
              "  292,\n",
              "  294,\n",
              "  4470,\n",
              "  4485,\n",
              "  4501,\n",
              "  4516,\n",
              "  4531,\n",
              "  4546,\n",
              "  4561,\n",
              "  4576,\n",
              "  4591,\n",
              "  4606,\n",
              "  4620,\n",
              "  4635},\n",
              " 294: {279,\n",
              "  293,\n",
              "  295,\n",
              "  4650,\n",
              "  4665,\n",
              "  4681,\n",
              "  4696,\n",
              "  4711,\n",
              "  4726,\n",
              "  4741,\n",
              "  4756,\n",
              "  4771,\n",
              "  4786,\n",
              "  4800,\n",
              "  4815},\n",
              " 295: {280,\n",
              "  294,\n",
              "  296,\n",
              "  4830,\n",
              "  4845,\n",
              "  4861,\n",
              "  4876,\n",
              "  4891,\n",
              "  4906,\n",
              "  4921,\n",
              "  4936,\n",
              "  4951,\n",
              "  4966,\n",
              "  4980,\n",
              "  4995},\n",
              " 296: {281,\n",
              "  295,\n",
              "  297,\n",
              "  5010,\n",
              "  5025,\n",
              "  5041,\n",
              "  5056,\n",
              "  5071,\n",
              "  5086,\n",
              "  5101,\n",
              "  5116,\n",
              "  5131,\n",
              "  5146,\n",
              "  5160,\n",
              "  5175},\n",
              " 297: {282,\n",
              "  296,\n",
              "  298,\n",
              "  5190,\n",
              "  5205,\n",
              "  5221,\n",
              "  5236,\n",
              "  5251,\n",
              "  5266,\n",
              "  5281,\n",
              "  5296,\n",
              "  5311,\n",
              "  5326,\n",
              "  5340,\n",
              "  5355},\n",
              " 298: {283,\n",
              "  297,\n",
              "  299,\n",
              "  5370,\n",
              "  5385,\n",
              "  5401,\n",
              "  5416,\n",
              "  5431,\n",
              "  5446,\n",
              "  5461,\n",
              "  5476,\n",
              "  5491,\n",
              "  5506,\n",
              "  5520,\n",
              "  5535},\n",
              " 299: {284,\n",
              "  298,\n",
              "  5550,\n",
              "  5565,\n",
              "  5581,\n",
              "  5596,\n",
              "  5611,\n",
              "  5626,\n",
              "  5641,\n",
              "  5656,\n",
              "  5671,\n",
              "  5686,\n",
              "  5700,\n",
              "  5715},\n",
              " 300: {301,\n",
              "  315,\n",
              "  2971,\n",
              "  2986,\n",
              "  3000,\n",
              "  3015,\n",
              "  3030,\n",
              "  3045,\n",
              "  3061,\n",
              "  3076,\n",
              "  3091,\n",
              "  3106,\n",
              "  3121,\n",
              "  3136},\n",
              " 301: {300,\n",
              "  302,\n",
              "  316,\n",
              "  3151,\n",
              "  3166,\n",
              "  3180,\n",
              "  3195,\n",
              "  3210,\n",
              "  3225,\n",
              "  3241,\n",
              "  3256,\n",
              "  3271,\n",
              "  3286,\n",
              "  3301,\n",
              "  3316},\n",
              " 302: {301,\n",
              "  303,\n",
              "  317,\n",
              "  3331,\n",
              "  3346,\n",
              "  3360,\n",
              "  3375,\n",
              "  3390,\n",
              "  3405,\n",
              "  3421,\n",
              "  3436,\n",
              "  3451,\n",
              "  3466,\n",
              "  3481,\n",
              "  3496},\n",
              " 303: {302,\n",
              "  304,\n",
              "  318,\n",
              "  3511,\n",
              "  3526,\n",
              "  3540,\n",
              "  3555,\n",
              "  3570,\n",
              "  3585,\n",
              "  3601,\n",
              "  3616,\n",
              "  3631,\n",
              "  3646,\n",
              "  3661,\n",
              "  3676},\n",
              " 304: {303,\n",
              "  305,\n",
              "  319,\n",
              "  3691,\n",
              "  3706,\n",
              "  3720,\n",
              "  3735,\n",
              "  3750,\n",
              "  3765,\n",
              "  3781,\n",
              "  3796,\n",
              "  3811,\n",
              "  3826,\n",
              "  3841,\n",
              "  3856},\n",
              " 305: {304,\n",
              "  306,\n",
              "  320,\n",
              "  3871,\n",
              "  3886,\n",
              "  3900,\n",
              "  3915,\n",
              "  3930,\n",
              "  3945,\n",
              "  3961,\n",
              "  3976,\n",
              "  3991,\n",
              "  4006,\n",
              "  4021,\n",
              "  4036},\n",
              " 306: {305,\n",
              "  307,\n",
              "  321,\n",
              "  4051,\n",
              "  4066,\n",
              "  4080,\n",
              "  4095,\n",
              "  4110,\n",
              "  4125,\n",
              "  4141,\n",
              "  4156,\n",
              "  4171,\n",
              "  4186,\n",
              "  4201,\n",
              "  4216},\n",
              " 307: {306,\n",
              "  308,\n",
              "  322,\n",
              "  4231,\n",
              "  4246,\n",
              "  4260,\n",
              "  4275,\n",
              "  4290,\n",
              "  4305,\n",
              "  4321,\n",
              "  4336,\n",
              "  4351,\n",
              "  4366,\n",
              "  4381,\n",
              "  4396},\n",
              " 308: {307,\n",
              "  309,\n",
              "  323,\n",
              "  4411,\n",
              "  4426,\n",
              "  4440,\n",
              "  4455,\n",
              "  4470,\n",
              "  4485,\n",
              "  4501,\n",
              "  4516,\n",
              "  4531,\n",
              "  4546,\n",
              "  4561,\n",
              "  4576},\n",
              " 309: {308,\n",
              "  310,\n",
              "  324,\n",
              "  4591,\n",
              "  4606,\n",
              "  4620,\n",
              "  4635,\n",
              "  4650,\n",
              "  4665,\n",
              "  4681,\n",
              "  4696,\n",
              "  4711,\n",
              "  4726,\n",
              "  4741,\n",
              "  4756},\n",
              " 310: {309,\n",
              "  311,\n",
              "  325,\n",
              "  4771,\n",
              "  4786,\n",
              "  4800,\n",
              "  4815,\n",
              "  4830,\n",
              "  4845,\n",
              "  4861,\n",
              "  4876,\n",
              "  4891,\n",
              "  4906,\n",
              "  4921,\n",
              "  4936},\n",
              " 311: {310,\n",
              "  312,\n",
              "  326,\n",
              "  4951,\n",
              "  4966,\n",
              "  4980,\n",
              "  4995,\n",
              "  5010,\n",
              "  5025,\n",
              "  5041,\n",
              "  5056,\n",
              "  5071,\n",
              "  5086,\n",
              "  5101,\n",
              "  5116},\n",
              " 312: {311,\n",
              "  313,\n",
              "  327,\n",
              "  5131,\n",
              "  5146,\n",
              "  5160,\n",
              "  5175,\n",
              "  5190,\n",
              "  5205,\n",
              "  5221,\n",
              "  5236,\n",
              "  5251,\n",
              "  5266,\n",
              "  5281,\n",
              "  5296},\n",
              " 313: {312,\n",
              "  314,\n",
              "  328,\n",
              "  5311,\n",
              "  5326,\n",
              "  5340,\n",
              "  5355,\n",
              "  5370,\n",
              "  5385,\n",
              "  5401,\n",
              "  5416,\n",
              "  5431,\n",
              "  5446,\n",
              "  5461,\n",
              "  5476},\n",
              " 314: {313,\n",
              "  329,\n",
              "  5491,\n",
              "  5506,\n",
              "  5520,\n",
              "  5535,\n",
              "  5550,\n",
              "  5565,\n",
              "  5581,\n",
              "  5596,\n",
              "  5611,\n",
              "  5626,\n",
              "  5641,\n",
              "  5656},\n",
              " 315: {300,\n",
              "  316,\n",
              "  2971,\n",
              "  2986,\n",
              "  3000,\n",
              "  3015,\n",
              "  3030,\n",
              "  3045,\n",
              "  3061,\n",
              "  3076,\n",
              "  3091,\n",
              "  3106,\n",
              "  3121,\n",
              "  3136},\n",
              " 316: {301,\n",
              "  315,\n",
              "  317,\n",
              "  3151,\n",
              "  3166,\n",
              "  3180,\n",
              "  3195,\n",
              "  3210,\n",
              "  3225,\n",
              "  3241,\n",
              "  3256,\n",
              "  3271,\n",
              "  3286,\n",
              "  3301,\n",
              "  3316},\n",
              " 317: {302,\n",
              "  316,\n",
              "  318,\n",
              "  3331,\n",
              "  3346,\n",
              "  3360,\n",
              "  3375,\n",
              "  3390,\n",
              "  3405,\n",
              "  3421,\n",
              "  3436,\n",
              "  3451,\n",
              "  3466,\n",
              "  3481,\n",
              "  3496},\n",
              " 318: {303,\n",
              "  317,\n",
              "  319,\n",
              "  3511,\n",
              "  3526,\n",
              "  3540,\n",
              "  3555,\n",
              "  3570,\n",
              "  3585,\n",
              "  3601,\n",
              "  3616,\n",
              "  3631,\n",
              "  3646,\n",
              "  3661,\n",
              "  3676},\n",
              " 319: {304,\n",
              "  318,\n",
              "  320,\n",
              "  3691,\n",
              "  3706,\n",
              "  3720,\n",
              "  3735,\n",
              "  3750,\n",
              "  3765,\n",
              "  3781,\n",
              "  3796,\n",
              "  3811,\n",
              "  3826,\n",
              "  3841,\n",
              "  3856},\n",
              " 320: {305,\n",
              "  319,\n",
              "  321,\n",
              "  3871,\n",
              "  3886,\n",
              "  3900,\n",
              "  3915,\n",
              "  3930,\n",
              "  3945,\n",
              "  3961,\n",
              "  3976,\n",
              "  3991,\n",
              "  4006,\n",
              "  4021,\n",
              "  4036},\n",
              " 321: {306,\n",
              "  320,\n",
              "  322,\n",
              "  4051,\n",
              "  4066,\n",
              "  4080,\n",
              "  4095,\n",
              "  4110,\n",
              "  4125,\n",
              "  4141,\n",
              "  4156,\n",
              "  4171,\n",
              "  4186,\n",
              "  4201,\n",
              "  4216},\n",
              " 322: {307,\n",
              "  321,\n",
              "  323,\n",
              "  4231,\n",
              "  4246,\n",
              "  4260,\n",
              "  4275,\n",
              "  4290,\n",
              "  4305,\n",
              "  4321,\n",
              "  4336,\n",
              "  4351,\n",
              "  4366,\n",
              "  4381,\n",
              "  4396},\n",
              " 323: {308,\n",
              "  322,\n",
              "  324,\n",
              "  4411,\n",
              "  4426,\n",
              "  4440,\n",
              "  4455,\n",
              "  4470,\n",
              "  4485,\n",
              "  4501,\n",
              "  4516,\n",
              "  4531,\n",
              "  4546,\n",
              "  4561,\n",
              "  4576},\n",
              " 324: {309,\n",
              "  323,\n",
              "  325,\n",
              "  4591,\n",
              "  4606,\n",
              "  4620,\n",
              "  4635,\n",
              "  4650,\n",
              "  4665,\n",
              "  4681,\n",
              "  4696,\n",
              "  4711,\n",
              "  4726,\n",
              "  4741,\n",
              "  4756},\n",
              " 325: {310,\n",
              "  324,\n",
              "  326,\n",
              "  4771,\n",
              "  4786,\n",
              "  4800,\n",
              "  4815,\n",
              "  4830,\n",
              "  4845,\n",
              "  4861,\n",
              "  4876,\n",
              "  4891,\n",
              "  4906,\n",
              "  4921,\n",
              "  4936},\n",
              " 326: {311,\n",
              "  325,\n",
              "  327,\n",
              "  4951,\n",
              "  4966,\n",
              "  4980,\n",
              "  4995,\n",
              "  5010,\n",
              "  5025,\n",
              "  5041,\n",
              "  5056,\n",
              "  5071,\n",
              "  5086,\n",
              "  5101,\n",
              "  5116},\n",
              " 327: {312,\n",
              "  326,\n",
              "  328,\n",
              "  5131,\n",
              "  5146,\n",
              "  5160,\n",
              "  5175,\n",
              "  5190,\n",
              "  5205,\n",
              "  5221,\n",
              "  5236,\n",
              "  5251,\n",
              "  5266,\n",
              "  5281,\n",
              "  5296},\n",
              " 328: {313,\n",
              "  327,\n",
              "  329,\n",
              "  5311,\n",
              "  5326,\n",
              "  5340,\n",
              "  5355,\n",
              "  5370,\n",
              "  5385,\n",
              "  5401,\n",
              "  5416,\n",
              "  5431,\n",
              "  5446,\n",
              "  5461,\n",
              "  5476},\n",
              " 329: {314,\n",
              "  328,\n",
              "  5491,\n",
              "  5506,\n",
              "  5520,\n",
              "  5535,\n",
              "  5550,\n",
              "  5565,\n",
              "  5581,\n",
              "  5596,\n",
              "  5611,\n",
              "  5626,\n",
              "  5641,\n",
              "  5656},\n",
              " 330: {331,\n",
              "  345,\n",
              "  2971,\n",
              "  2986,\n",
              "  3001,\n",
              "  3016,\n",
              "  3031,\n",
              "  3046,\n",
              "  3061,\n",
              "  3076,\n",
              "  3091,\n",
              "  3106,\n",
              "  3121,\n",
              "  3136},\n",
              " 331: {330,\n",
              "  332,\n",
              "  346,\n",
              "  3151,\n",
              "  3166,\n",
              "  3181,\n",
              "  3196,\n",
              "  3211,\n",
              "  3226,\n",
              "  3241,\n",
              "  3256,\n",
              "  3271,\n",
              "  3286,\n",
              "  3301,\n",
              "  3316},\n",
              " 332: {331,\n",
              "  333,\n",
              "  347,\n",
              "  3331,\n",
              "  3346,\n",
              "  3361,\n",
              "  3376,\n",
              "  3391,\n",
              "  3406,\n",
              "  3421,\n",
              "  3436,\n",
              "  3451,\n",
              "  3466,\n",
              "  3481,\n",
              "  3496},\n",
              " 333: {332,\n",
              "  334,\n",
              "  348,\n",
              "  3511,\n",
              "  3526,\n",
              "  3541,\n",
              "  3556,\n",
              "  3571,\n",
              "  3586,\n",
              "  3601,\n",
              "  3616,\n",
              "  3631,\n",
              "  3646,\n",
              "  3661,\n",
              "  3676},\n",
              " 334: {333,\n",
              "  335,\n",
              "  349,\n",
              "  3691,\n",
              "  3706,\n",
              "  3721,\n",
              "  3736,\n",
              "  3751,\n",
              "  3766,\n",
              "  3781,\n",
              "  3796,\n",
              "  3811,\n",
              "  3826,\n",
              "  3841,\n",
              "  3856},\n",
              " 335: {334,\n",
              "  336,\n",
              "  350,\n",
              "  3871,\n",
              "  3886,\n",
              "  3901,\n",
              "  3916,\n",
              "  3931,\n",
              "  3946,\n",
              "  3961,\n",
              "  3976,\n",
              "  3991,\n",
              "  4006,\n",
              "  4021,\n",
              "  4036},\n",
              " 336: {335,\n",
              "  337,\n",
              "  351,\n",
              "  4051,\n",
              "  4066,\n",
              "  4081,\n",
              "  4096,\n",
              "  4111,\n",
              "  4126,\n",
              "  4141,\n",
              "  4156,\n",
              "  4171,\n",
              "  4186,\n",
              "  4201,\n",
              "  4216},\n",
              " 337: {336,\n",
              "  338,\n",
              "  352,\n",
              "  4231,\n",
              "  4246,\n",
              "  4261,\n",
              "  4276,\n",
              "  4291,\n",
              "  4306,\n",
              "  4321,\n",
              "  4336,\n",
              "  4351,\n",
              "  4366,\n",
              "  4381,\n",
              "  4396},\n",
              " 338: {337,\n",
              "  339,\n",
              "  353,\n",
              "  4411,\n",
              "  4426,\n",
              "  4441,\n",
              "  4456,\n",
              "  4471,\n",
              "  4486,\n",
              "  4501,\n",
              "  4516,\n",
              "  4531,\n",
              "  4546,\n",
              "  4561,\n",
              "  4576},\n",
              " 339: {338,\n",
              "  340,\n",
              "  354,\n",
              "  4591,\n",
              "  4606,\n",
              "  4621,\n",
              "  4636,\n",
              "  4651,\n",
              "  4666,\n",
              "  4681,\n",
              "  4696,\n",
              "  4711,\n",
              "  4726,\n",
              "  4741,\n",
              "  4756},\n",
              " 340: {339,\n",
              "  341,\n",
              "  355,\n",
              "  4771,\n",
              "  4786,\n",
              "  4801,\n",
              "  4816,\n",
              "  4831,\n",
              "  4846,\n",
              "  4861,\n",
              "  4876,\n",
              "  4891,\n",
              "  4906,\n",
              "  4921,\n",
              "  4936},\n",
              " 341: {340,\n",
              "  342,\n",
              "  356,\n",
              "  4951,\n",
              "  4966,\n",
              "  4981,\n",
              "  4996,\n",
              "  5011,\n",
              "  5026,\n",
              "  5041,\n",
              "  5056,\n",
              "  5071,\n",
              "  5086,\n",
              "  5101,\n",
              "  5116},\n",
              " 342: {341,\n",
              "  343,\n",
              "  357,\n",
              "  5131,\n",
              "  5146,\n",
              "  5161,\n",
              "  5176,\n",
              "  5191,\n",
              "  5206,\n",
              "  5221,\n",
              "  5236,\n",
              "  5251,\n",
              "  5266,\n",
              "  5281,\n",
              "  5296},\n",
              " 343: {342,\n",
              "  344,\n",
              "  358,\n",
              "  5311,\n",
              "  5326,\n",
              "  5341,\n",
              "  5356,\n",
              "  5371,\n",
              "  5386,\n",
              "  5401,\n",
              "  5416,\n",
              "  5431,\n",
              "  5446,\n",
              "  5461,\n",
              "  5476},\n",
              " 344: {343,\n",
              "  359,\n",
              "  5491,\n",
              "  5506,\n",
              "  5521,\n",
              "  5536,\n",
              "  5551,\n",
              "  5566,\n",
              "  5581,\n",
              "  5596,\n",
              "  5611,\n",
              "  5626,\n",
              "  5641,\n",
              "  5656},\n",
              " 345: {330,\n",
              "  346,\n",
              "  2971,\n",
              "  2986,\n",
              "  3001,\n",
              "  3016,\n",
              "  3031,\n",
              "  3046,\n",
              "  3061,\n",
              "  3076,\n",
              "  3091,\n",
              "  3106,\n",
              "  3121,\n",
              "  3136},\n",
              " 346: {331,\n",
              "  345,\n",
              "  347,\n",
              "  3151,\n",
              "  3166,\n",
              "  3181,\n",
              "  3196,\n",
              "  3211,\n",
              "  3226,\n",
              "  3241,\n",
              "  3256,\n",
              "  3271,\n",
              "  3286,\n",
              "  3301,\n",
              "  3316},\n",
              " 347: {332,\n",
              "  346,\n",
              "  348,\n",
              "  3331,\n",
              "  3346,\n",
              "  3361,\n",
              "  3376,\n",
              "  3391,\n",
              "  3406,\n",
              "  3421,\n",
              "  3436,\n",
              "  3451,\n",
              "  3466,\n",
              "  3481,\n",
              "  3496},\n",
              " 348: {333,\n",
              "  347,\n",
              "  349,\n",
              "  3511,\n",
              "  3526,\n",
              "  3541,\n",
              "  3556,\n",
              "  3571,\n",
              "  3586,\n",
              "  3601,\n",
              "  3616,\n",
              "  3631,\n",
              "  3646,\n",
              "  3661,\n",
              "  3676},\n",
              " 349: {334,\n",
              "  348,\n",
              "  350,\n",
              "  3691,\n",
              "  3706,\n",
              "  3721,\n",
              "  3736,\n",
              "  3751,\n",
              "  3766,\n",
              "  3781,\n",
              "  3796,\n",
              "  3811,\n",
              "  3826,\n",
              "  3841,\n",
              "  3856},\n",
              " 350: {335,\n",
              "  349,\n",
              "  351,\n",
              "  3871,\n",
              "  3886,\n",
              "  3901,\n",
              "  3916,\n",
              "  3931,\n",
              "  3946,\n",
              "  3961,\n",
              "  3976,\n",
              "  3991,\n",
              "  4006,\n",
              "  4021,\n",
              "  4036},\n",
              " 351: {336,\n",
              "  350,\n",
              "  352,\n",
              "  4051,\n",
              "  4066,\n",
              "  4081,\n",
              "  4096,\n",
              "  4111,\n",
              "  4126,\n",
              "  4141,\n",
              "  4156,\n",
              "  4171,\n",
              "  4186,\n",
              "  4201,\n",
              "  4216},\n",
              " 352: {337,\n",
              "  351,\n",
              "  353,\n",
              "  4231,\n",
              "  4246,\n",
              "  4261,\n",
              "  4276,\n",
              "  4291,\n",
              "  4306,\n",
              "  4321,\n",
              "  4336,\n",
              "  4351,\n",
              "  4366,\n",
              "  4381,\n",
              "  4396},\n",
              " 353: {338,\n",
              "  352,\n",
              "  354,\n",
              "  4411,\n",
              "  4426,\n",
              "  4441,\n",
              "  4456,\n",
              "  4471,\n",
              "  4486,\n",
              "  4501,\n",
              "  4516,\n",
              "  4531,\n",
              "  4546,\n",
              "  4561,\n",
              "  4576},\n",
              " 354: {339,\n",
              "  353,\n",
              "  355,\n",
              "  4591,\n",
              "  4606,\n",
              "  4621,\n",
              "  4636,\n",
              "  4651,\n",
              "  4666,\n",
              "  4681,\n",
              "  4696,\n",
              "  4711,\n",
              "  4726,\n",
              "  4741,\n",
              "  4756},\n",
              " 355: {340,\n",
              "  354,\n",
              "  356,\n",
              "  4771,\n",
              "  4786,\n",
              "  4801,\n",
              "  4816,\n",
              "  4831,\n",
              "  4846,\n",
              "  4861,\n",
              "  4876,\n",
              "  4891,\n",
              "  4906,\n",
              "  4921,\n",
              "  4936},\n",
              " 356: {341,\n",
              "  355,\n",
              "  357,\n",
              "  4951,\n",
              "  4966,\n",
              "  4981,\n",
              "  4996,\n",
              "  5011,\n",
              "  5026,\n",
              "  5041,\n",
              "  5056,\n",
              "  5071,\n",
              "  5086,\n",
              "  5101,\n",
              "  5116},\n",
              " 357: {342,\n",
              "  356,\n",
              "  358,\n",
              "  5131,\n",
              "  5146,\n",
              "  5161,\n",
              "  5176,\n",
              "  5191,\n",
              "  5206,\n",
              "  5221,\n",
              "  5236,\n",
              "  5251,\n",
              "  5266,\n",
              "  5281,\n",
              "  5296},\n",
              " 358: {343,\n",
              "  357,\n",
              "  359,\n",
              "  5311,\n",
              "  5326,\n",
              "  5341,\n",
              "  5356,\n",
              "  5371,\n",
              "  5386,\n",
              "  5401,\n",
              "  5416,\n",
              "  5431,\n",
              "  5446,\n",
              "  5461,\n",
              "  5476},\n",
              " 359: {344,\n",
              "  358,\n",
              "  5491,\n",
              "  5506,\n",
              "  5521,\n",
              "  5536,\n",
              "  5551,\n",
              "  5566,\n",
              "  5581,\n",
              "  5596,\n",
              "  5611,\n",
              "  5626,\n",
              "  5641,\n",
              "  5656},\n",
              " 360: {361,\n",
              "  375,\n",
              "  2911,\n",
              "  2926,\n",
              "  2941,\n",
              "  2956,\n",
              "  2971,\n",
              "  2986,\n",
              "  3001,\n",
              "  3016,\n",
              "  3031,\n",
              "  3046,\n",
              "  3061,\n",
              "  3076},\n",
              " 361: {360,\n",
              "  362,\n",
              "  376,\n",
              "  3091,\n",
              "  3106,\n",
              "  3121,\n",
              "  3136,\n",
              "  3151,\n",
              "  3166,\n",
              "  3181,\n",
              "  3196,\n",
              "  3211,\n",
              "  3226,\n",
              "  3241,\n",
              "  3256},\n",
              " 362: {361,\n",
              "  363,\n",
              "  377,\n",
              "  3271,\n",
              "  3286,\n",
              "  3301,\n",
              "  3316,\n",
              "  3331,\n",
              "  3346,\n",
              "  3361,\n",
              "  3376,\n",
              "  3391,\n",
              "  3406,\n",
              "  3421,\n",
              "  3436},\n",
              " 363: {362,\n",
              "  364,\n",
              "  378,\n",
              "  3451,\n",
              "  3466,\n",
              "  3481,\n",
              "  3496,\n",
              "  3511,\n",
              "  3526,\n",
              "  3541,\n",
              "  3556,\n",
              "  3571,\n",
              "  3586,\n",
              "  3601,\n",
              "  3616},\n",
              " 364: {363,\n",
              "  365,\n",
              "  379,\n",
              "  3631,\n",
              "  3646,\n",
              "  3661,\n",
              "  3676,\n",
              "  3691,\n",
              "  3706,\n",
              "  3721,\n",
              "  3736,\n",
              "  3751,\n",
              "  3766,\n",
              "  3781,\n",
              "  3796},\n",
              " 365: {364,\n",
              "  366,\n",
              "  380,\n",
              "  3811,\n",
              "  3826,\n",
              "  3841,\n",
              "  3856,\n",
              "  3871,\n",
              "  3886,\n",
              "  3901,\n",
              "  3916,\n",
              "  3931,\n",
              "  3946,\n",
              "  3961,\n",
              "  3976},\n",
              " 366: {365,\n",
              "  367,\n",
              "  381,\n",
              "  3991,\n",
              "  4006,\n",
              "  4021,\n",
              "  4036,\n",
              "  4051,\n",
              "  4066,\n",
              "  4081,\n",
              "  4096,\n",
              "  4111,\n",
              "  4126,\n",
              "  4141,\n",
              "  4156},\n",
              " 367: {366,\n",
              "  368,\n",
              "  382,\n",
              "  4171,\n",
              "  4186,\n",
              "  4201,\n",
              "  4216,\n",
              "  4231,\n",
              "  4246,\n",
              "  4261,\n",
              "  4276,\n",
              "  4291,\n",
              "  4306,\n",
              "  4321,\n",
              "  4336},\n",
              " 368: {367,\n",
              "  369,\n",
              "  383,\n",
              "  4351,\n",
              "  4366,\n",
              "  4381,\n",
              "  4396,\n",
              "  4411,\n",
              "  4426,\n",
              "  4441,\n",
              "  4456,\n",
              "  4471,\n",
              "  4486,\n",
              "  4501,\n",
              "  4516},\n",
              " 369: {368,\n",
              "  370,\n",
              "  384,\n",
              "  4531,\n",
              "  4546,\n",
              "  4561,\n",
              "  4576,\n",
              "  4591,\n",
              "  4606,\n",
              "  4621,\n",
              "  4636,\n",
              "  4651,\n",
              "  4666,\n",
              "  4681,\n",
              "  4696},\n",
              " 370: {369,\n",
              "  371,\n",
              "  385,\n",
              "  4711,\n",
              "  4726,\n",
              "  4741,\n",
              "  4756,\n",
              "  4771,\n",
              "  4786,\n",
              "  4801,\n",
              "  4816,\n",
              "  4831,\n",
              "  4846,\n",
              "  4861,\n",
              "  4876},\n",
              " 371: {370,\n",
              "  372,\n",
              "  386,\n",
              "  4891,\n",
              "  4906,\n",
              "  4921,\n",
              "  4936,\n",
              "  4951,\n",
              "  4966,\n",
              "  4981,\n",
              "  4996,\n",
              "  5011,\n",
              "  5026,\n",
              "  5041,\n",
              "  5056},\n",
              " 372: {371,\n",
              "  373,\n",
              "  387,\n",
              "  5071,\n",
              "  5086,\n",
              "  5101,\n",
              "  5116,\n",
              "  5131,\n",
              "  5146,\n",
              "  5161,\n",
              "  5176,\n",
              "  5191,\n",
              "  5206,\n",
              "  5221,\n",
              "  5236},\n",
              " 373: {372,\n",
              "  374,\n",
              "  388,\n",
              "  5251,\n",
              "  5266,\n",
              "  5281,\n",
              "  5296,\n",
              "  5311,\n",
              "  5326,\n",
              "  5341,\n",
              "  5356,\n",
              "  5371,\n",
              "  5386,\n",
              "  5401,\n",
              "  5416},\n",
              " 374: {373,\n",
              "  389,\n",
              "  5431,\n",
              "  5446,\n",
              "  5461,\n",
              "  5476,\n",
              "  5491,\n",
              "  5506,\n",
              "  5521,\n",
              "  5536,\n",
              "  5551,\n",
              "  5566,\n",
              "  5581,\n",
              "  5596},\n",
              " 375: {360,\n",
              "  376,\n",
              "  2911,\n",
              "  2926,\n",
              "  2941,\n",
              "  2956,\n",
              "  2971,\n",
              "  2986,\n",
              "  3001,\n",
              "  3016,\n",
              "  3031,\n",
              "  3046,\n",
              "  3061,\n",
              "  3076},\n",
              " 376: {361,\n",
              "  375,\n",
              "  377,\n",
              "  3091,\n",
              "  3106,\n",
              "  3121,\n",
              "  3136,\n",
              "  3151,\n",
              "  3166,\n",
              "  3181,\n",
              "  3196,\n",
              "  3211,\n",
              "  3226,\n",
              "  3241,\n",
              "  3256},\n",
              " 377: {362,\n",
              "  376,\n",
              "  378,\n",
              "  3271,\n",
              "  3286,\n",
              "  3301,\n",
              "  3316,\n",
              "  3331,\n",
              "  3346,\n",
              "  3361,\n",
              "  3376,\n",
              "  3391,\n",
              "  3406,\n",
              "  3421,\n",
              "  3436},\n",
              " 378: {363,\n",
              "  377,\n",
              "  379,\n",
              "  3451,\n",
              "  3466,\n",
              "  3481,\n",
              "  3496,\n",
              "  3511,\n",
              "  3526,\n",
              "  3541,\n",
              "  3556,\n",
              "  3571,\n",
              "  3586,\n",
              "  3601,\n",
              "  3616},\n",
              " 379: {364,\n",
              "  378,\n",
              "  380,\n",
              "  3631,\n",
              "  3646,\n",
              "  3661,\n",
              "  3676,\n",
              "  3691,\n",
              "  3706,\n",
              "  3721,\n",
              "  3736,\n",
              "  3751,\n",
              "  3766,\n",
              "  3781,\n",
              "  3796},\n",
              " 380: {365,\n",
              "  379,\n",
              "  381,\n",
              "  3811,\n",
              "  3826,\n",
              "  3841,\n",
              "  3856,\n",
              "  3871,\n",
              "  3886,\n",
              "  3901,\n",
              "  3916,\n",
              "  3931,\n",
              "  3946,\n",
              "  3961,\n",
              "  3976},\n",
              " 381: {366,\n",
              "  380,\n",
              "  382,\n",
              "  3991,\n",
              "  4006,\n",
              "  4021,\n",
              "  4036,\n",
              "  4051,\n",
              "  4066,\n",
              "  4081,\n",
              "  4096,\n",
              "  4111,\n",
              "  4126,\n",
              "  4141,\n",
              "  4156},\n",
              " 382: {367,\n",
              "  381,\n",
              "  383,\n",
              "  4171,\n",
              "  4186,\n",
              "  4201,\n",
              "  4216,\n",
              "  4231,\n",
              "  4246,\n",
              "  4261,\n",
              "  4276,\n",
              "  4291,\n",
              "  4306,\n",
              "  4321,\n",
              "  4336},\n",
              " 383: {368,\n",
              "  382,\n",
              "  384,\n",
              "  4351,\n",
              "  4366,\n",
              "  4381,\n",
              "  4396,\n",
              "  4411,\n",
              "  4426,\n",
              "  4441,\n",
              "  4456,\n",
              "  4471,\n",
              "  4486,\n",
              "  4501,\n",
              "  4516},\n",
              " 384: {369,\n",
              "  383,\n",
              "  385,\n",
              "  4531,\n",
              "  4546,\n",
              "  4561,\n",
              "  4576,\n",
              "  4591,\n",
              "  4606,\n",
              "  4621,\n",
              "  4636,\n",
              "  4651,\n",
              "  4666,\n",
              "  4681,\n",
              "  4696},\n",
              " 385: {370,\n",
              "  384,\n",
              "  386,\n",
              "  4711,\n",
              "  4726,\n",
              "  4741,\n",
              "  4756,\n",
              "  4771,\n",
              "  4786,\n",
              "  4801,\n",
              "  4816,\n",
              "  4831,\n",
              "  4846,\n",
              "  4861,\n",
              "  4876},\n",
              " 386: {371,\n",
              "  385,\n",
              "  387,\n",
              "  4891,\n",
              "  4906,\n",
              "  4921,\n",
              "  4936,\n",
              "  4951,\n",
              "  4966,\n",
              "  4981,\n",
              "  4996,\n",
              "  5011,\n",
              "  5026,\n",
              "  5041,\n",
              "  5056},\n",
              " 387: {372,\n",
              "  386,\n",
              "  388,\n",
              "  5071,\n",
              "  5086,\n",
              "  5101,\n",
              "  5116,\n",
              "  5131,\n",
              "  5146,\n",
              "  5161,\n",
              "  5176,\n",
              "  5191,\n",
              "  5206,\n",
              "  5221,\n",
              "  5236},\n",
              " 388: {373,\n",
              "  387,\n",
              "  389,\n",
              "  5251,\n",
              "  5266,\n",
              "  5281,\n",
              "  5296,\n",
              "  5311,\n",
              "  5326,\n",
              "  5341,\n",
              "  5356,\n",
              "  5371,\n",
              "  5386,\n",
              "  5401,\n",
              "  5416},\n",
              " 389: {374,\n",
              "  388,\n",
              "  5431,\n",
              "  5446,\n",
              "  5461,\n",
              "  5476,\n",
              "  5491,\n",
              "  5506,\n",
              "  5521,\n",
              "  5536,\n",
              "  5551,\n",
              "  5566,\n",
              "  5581,\n",
              "  5596},\n",
              " 390: {391,\n",
              "  405,\n",
              "  2911,\n",
              "  2926,\n",
              "  2942,\n",
              "  2957,\n",
              "  2972,\n",
              "  2987,\n",
              "  3001,\n",
              "  3016,\n",
              "  3031,\n",
              "  3046,\n",
              "  3061,\n",
              "  3076},\n",
              " 391: {390,\n",
              "  392,\n",
              "  406,\n",
              "  3091,\n",
              "  3106,\n",
              "  3122,\n",
              "  3137,\n",
              "  3152,\n",
              "  3167,\n",
              "  3181,\n",
              "  3196,\n",
              "  3211,\n",
              "  3226,\n",
              "  3241,\n",
              "  3256},\n",
              " 392: {391,\n",
              "  393,\n",
              "  407,\n",
              "  3271,\n",
              "  3286,\n",
              "  3302,\n",
              "  3317,\n",
              "  3332,\n",
              "  3347,\n",
              "  3361,\n",
              "  3376,\n",
              "  3391,\n",
              "  3406,\n",
              "  3421,\n",
              "  3436},\n",
              " 393: {392,\n",
              "  394,\n",
              "  408,\n",
              "  3451,\n",
              "  3466,\n",
              "  3482,\n",
              "  3497,\n",
              "  3512,\n",
              "  3527,\n",
              "  3541,\n",
              "  3556,\n",
              "  3571,\n",
              "  3586,\n",
              "  3601,\n",
              "  3616},\n",
              " 394: {393,\n",
              "  395,\n",
              "  409,\n",
              "  3631,\n",
              "  3646,\n",
              "  3662,\n",
              "  3677,\n",
              "  3692,\n",
              "  3707,\n",
              "  3721,\n",
              "  3736,\n",
              "  3751,\n",
              "  3766,\n",
              "  3781,\n",
              "  3796},\n",
              " 395: {394,\n",
              "  396,\n",
              "  410,\n",
              "  3811,\n",
              "  3826,\n",
              "  3842,\n",
              "  3857,\n",
              "  3872,\n",
              "  3887,\n",
              "  3901,\n",
              "  3916,\n",
              "  3931,\n",
              "  3946,\n",
              "  3961,\n",
              "  3976},\n",
              " 396: {395,\n",
              "  397,\n",
              "  411,\n",
              "  3991,\n",
              "  4006,\n",
              "  4022,\n",
              "  4037,\n",
              "  4052,\n",
              "  4067,\n",
              "  4081,\n",
              "  4096,\n",
              "  4111,\n",
              "  4126,\n",
              "  4141,\n",
              "  4156},\n",
              " 397: {396,\n",
              "  398,\n",
              "  412,\n",
              "  4171,\n",
              "  4186,\n",
              "  4202,\n",
              "  4217,\n",
              "  4232,\n",
              "  4247,\n",
              "  4261,\n",
              "  4276,\n",
              "  4291,\n",
              "  4306,\n",
              "  4321,\n",
              "  4336},\n",
              " 398: {397,\n",
              "  399,\n",
              "  413,\n",
              "  4351,\n",
              "  4366,\n",
              "  4382,\n",
              "  4397,\n",
              "  4412,\n",
              "  4427,\n",
              "  4441,\n",
              "  4456,\n",
              "  4471,\n",
              "  4486,\n",
              "  4501,\n",
              "  4516},\n",
              " 399: {398,\n",
              "  400,\n",
              "  414,\n",
              "  4531,\n",
              "  4546,\n",
              "  4562,\n",
              "  4577,\n",
              "  4592,\n",
              "  4607,\n",
              "  4621,\n",
              "  4636,\n",
              "  4651,\n",
              "  4666,\n",
              "  4681,\n",
              "  4696},\n",
              " 400: {399,\n",
              "  401,\n",
              "  415,\n",
              "  4711,\n",
              "  4726,\n",
              "  4742,\n",
              "  4757,\n",
              "  4772,\n",
              "  4787,\n",
              "  4801,\n",
              "  4816,\n",
              "  4831,\n",
              "  4846,\n",
              "  4861,\n",
              "  4876},\n",
              " 401: {400,\n",
              "  402,\n",
              "  416,\n",
              "  4891,\n",
              "  4906,\n",
              "  4922,\n",
              "  4937,\n",
              "  4952,\n",
              "  4967,\n",
              "  4981,\n",
              "  4996,\n",
              "  5011,\n",
              "  5026,\n",
              "  5041,\n",
              "  5056},\n",
              " 402: {401,\n",
              "  403,\n",
              "  417,\n",
              "  5071,\n",
              "  5086,\n",
              "  5102,\n",
              "  5117,\n",
              "  5132,\n",
              "  5147,\n",
              "  5161,\n",
              "  5176,\n",
              "  5191,\n",
              "  5206,\n",
              "  5221,\n",
              "  5236},\n",
              " 403: {402,\n",
              "  404,\n",
              "  418,\n",
              "  5251,\n",
              "  5266,\n",
              "  5282,\n",
              "  5297,\n",
              "  5312,\n",
              "  5327,\n",
              "  5341,\n",
              "  5356,\n",
              "  5371,\n",
              "  5386,\n",
              "  5401,\n",
              "  5416},\n",
              " 404: {403,\n",
              "  419,\n",
              "  5431,\n",
              "  5446,\n",
              "  5462,\n",
              "  5477,\n",
              "  5492,\n",
              "  5507,\n",
              "  5521,\n",
              "  5536,\n",
              "  5551,\n",
              "  5566,\n",
              "  5581,\n",
              "  5596},\n",
              " 405: {390,\n",
              "  406,\n",
              "  2911,\n",
              "  2926,\n",
              "  2942,\n",
              "  2957,\n",
              "  2972,\n",
              "  2987,\n",
              "  3001,\n",
              "  3016,\n",
              "  3031,\n",
              "  3046,\n",
              "  3061,\n",
              "  3076},\n",
              " 406: {391,\n",
              "  405,\n",
              "  407,\n",
              "  3091,\n",
              "  3106,\n",
              "  3122,\n",
              "  3137,\n",
              "  3152,\n",
              "  3167,\n",
              "  3181,\n",
              "  3196,\n",
              "  3211,\n",
              "  3226,\n",
              "  3241,\n",
              "  3256},\n",
              " 407: {392,\n",
              "  406,\n",
              "  408,\n",
              "  3271,\n",
              "  3286,\n",
              "  3302,\n",
              "  3317,\n",
              "  3332,\n",
              "  3347,\n",
              "  3361,\n",
              "  3376,\n",
              "  3391,\n",
              "  3406,\n",
              "  3421,\n",
              "  3436},\n",
              " 408: {393,\n",
              "  407,\n",
              "  409,\n",
              "  3451,\n",
              "  3466,\n",
              "  3482,\n",
              "  3497,\n",
              "  3512,\n",
              "  3527,\n",
              "  3541,\n",
              "  3556,\n",
              "  3571,\n",
              "  3586,\n",
              "  3601,\n",
              "  3616},\n",
              " 409: {394,\n",
              "  408,\n",
              "  410,\n",
              "  3631,\n",
              "  3646,\n",
              "  3662,\n",
              "  3677,\n",
              "  3692,\n",
              "  3707,\n",
              "  3721,\n",
              "  3736,\n",
              "  3751,\n",
              "  3766,\n",
              "  3781,\n",
              "  3796},\n",
              " 410: {395,\n",
              "  409,\n",
              "  411,\n",
              "  3811,\n",
              "  3826,\n",
              "  3842,\n",
              "  3857,\n",
              "  3872,\n",
              "  3887,\n",
              "  3901,\n",
              "  3916,\n",
              "  3931,\n",
              "  3946,\n",
              "  3961,\n",
              "  3976},\n",
              " 411: {396,\n",
              "  410,\n",
              "  412,\n",
              "  3991,\n",
              "  4006,\n",
              "  4022,\n",
              "  4037,\n",
              "  4052,\n",
              "  4067,\n",
              "  4081,\n",
              "  4096,\n",
              "  4111,\n",
              "  4126,\n",
              "  4141,\n",
              "  4156},\n",
              " 412: {397,\n",
              "  411,\n",
              "  413,\n",
              "  4171,\n",
              "  4186,\n",
              "  4202,\n",
              "  4217,\n",
              "  4232,\n",
              "  4247,\n",
              "  4261,\n",
              "  4276,\n",
              "  4291,\n",
              "  4306,\n",
              "  4321,\n",
              "  4336},\n",
              " 413: {398,\n",
              "  412,\n",
              "  414,\n",
              "  4351,\n",
              "  4366,\n",
              "  4382,\n",
              "  4397,\n",
              "  4412,\n",
              "  4427,\n",
              "  4441,\n",
              "  4456,\n",
              "  4471,\n",
              "  4486,\n",
              "  4501,\n",
              "  4516},\n",
              " 414: {399,\n",
              "  413,\n",
              "  415,\n",
              "  4531,\n",
              "  4546,\n",
              "  4562,\n",
              "  4577,\n",
              "  4592,\n",
              "  4607,\n",
              "  4621,\n",
              "  4636,\n",
              "  4651,\n",
              "  4666,\n",
              "  4681,\n",
              "  4696},\n",
              " 415: {400,\n",
              "  414,\n",
              "  416,\n",
              "  4711,\n",
              "  4726,\n",
              "  4742,\n",
              "  4757,\n",
              "  4772,\n",
              "  4787,\n",
              "  4801,\n",
              "  4816,\n",
              "  4831,\n",
              "  4846,\n",
              "  4861,\n",
              "  4876},\n",
              " 416: {401,\n",
              "  415,\n",
              "  417,\n",
              "  4891,\n",
              "  4906,\n",
              "  4922,\n",
              "  4937,\n",
              "  4952,\n",
              "  4967,\n",
              "  4981,\n",
              "  4996,\n",
              "  5011,\n",
              "  5026,\n",
              "  5041,\n",
              "  5056},\n",
              " 417: {402,\n",
              "  416,\n",
              "  418,\n",
              "  5071,\n",
              "  5086,\n",
              "  5102,\n",
              "  5117,\n",
              "  5132,\n",
              "  5147,\n",
              "  5161,\n",
              "  5176,\n",
              "  5191,\n",
              "  5206,\n",
              "  5221,\n",
              "  5236},\n",
              " 418: {403,\n",
              "  417,\n",
              "  419,\n",
              "  5251,\n",
              "  5266,\n",
              "  5282,\n",
              "  5297,\n",
              "  5312,\n",
              "  5327,\n",
              "  5341,\n",
              "  5356,\n",
              "  5371,\n",
              "  5386,\n",
              "  5401,\n",
              "  5416},\n",
              " 419: {404,\n",
              "  418,\n",
              "  5431,\n",
              "  5446,\n",
              "  5462,\n",
              "  5477,\n",
              "  5492,\n",
              "  5507,\n",
              "  5521,\n",
              "  5536,\n",
              "  5551,\n",
              "  5566,\n",
              "  5581,\n",
              "  5596},\n",
              " 420: {421,\n",
              "  435,\n",
              "  3031,\n",
              "  3046,\n",
              "  3061,\n",
              "  3076,\n",
              "  3091,\n",
              "  3106,\n",
              "  3122,\n",
              "  3137,\n",
              "  3152,\n",
              "  3167,\n",
              "  3181,\n",
              "  3196},\n",
              " 421: {420,\n",
              "  422,\n",
              "  436,\n",
              "  3211,\n",
              "  3226,\n",
              "  3241,\n",
              "  3256,\n",
              "  3271,\n",
              "  3286,\n",
              "  3302,\n",
              "  3317,\n",
              "  3332,\n",
              "  3347,\n",
              "  3361,\n",
              "  3376},\n",
              " 422: {421,\n",
              "  423,\n",
              "  437,\n",
              "  3391,\n",
              "  3406,\n",
              "  3421,\n",
              "  3436,\n",
              "  3451,\n",
              "  3466,\n",
              "  3482,\n",
              "  3497,\n",
              "  3512,\n",
              "  3527,\n",
              "  3541,\n",
              "  3556},\n",
              " 423: {422,\n",
              "  424,\n",
              "  438,\n",
              "  3571,\n",
              "  3586,\n",
              "  3601,\n",
              "  3616,\n",
              "  3631,\n",
              "  3646,\n",
              "  3662,\n",
              "  3677,\n",
              "  3692,\n",
              "  3707,\n",
              "  3721,\n",
              "  3736},\n",
              " 424: {423,\n",
              "  425,\n",
              "  439,\n",
              "  3751,\n",
              "  3766,\n",
              "  3781,\n",
              "  3796,\n",
              "  3811,\n",
              "  3826,\n",
              "  3842,\n",
              "  3857,\n",
              "  3872,\n",
              "  3887,\n",
              "  3901,\n",
              "  3916},\n",
              " 425: {424,\n",
              "  426,\n",
              "  440,\n",
              "  3931,\n",
              "  3946,\n",
              "  3961,\n",
              "  3976,\n",
              "  3991,\n",
              "  4006,\n",
              "  4022,\n",
              "  4037,\n",
              "  4052,\n",
              "  4067,\n",
              "  4081,\n",
              "  4096},\n",
              " 426: {425,\n",
              "  427,\n",
              "  441,\n",
              "  4111,\n",
              "  4126,\n",
              "  4141,\n",
              "  4156,\n",
              "  4171,\n",
              "  4186,\n",
              "  4202,\n",
              "  4217,\n",
              "  4232,\n",
              "  4247,\n",
              "  4261,\n",
              "  4276},\n",
              " 427: {426,\n",
              "  428,\n",
              "  442,\n",
              "  4291,\n",
              "  4306,\n",
              "  4321,\n",
              "  4336,\n",
              "  4351,\n",
              "  4366,\n",
              "  4382,\n",
              "  4397,\n",
              "  4412,\n",
              "  4427,\n",
              "  4441,\n",
              "  4456},\n",
              " 428: {427,\n",
              "  429,\n",
              "  443,\n",
              "  4471,\n",
              "  4486,\n",
              "  4501,\n",
              "  4516,\n",
              "  4531,\n",
              "  4546,\n",
              "  4562,\n",
              "  4577,\n",
              "  4592,\n",
              "  4607,\n",
              "  4621,\n",
              "  4636},\n",
              " 429: {428,\n",
              "  430,\n",
              "  444,\n",
              "  4651,\n",
              "  4666,\n",
              "  4681,\n",
              "  4696,\n",
              "  4711,\n",
              "  4726,\n",
              "  4742,\n",
              "  4757,\n",
              "  4772,\n",
              "  4787,\n",
              "  4801,\n",
              "  4816},\n",
              " 430: {429,\n",
              "  431,\n",
              "  445,\n",
              "  4831,\n",
              "  4846,\n",
              "  4861,\n",
              "  4876,\n",
              "  4891,\n",
              "  4906,\n",
              "  4922,\n",
              "  4937,\n",
              "  4952,\n",
              "  4967,\n",
              "  4981,\n",
              "  4996},\n",
              " 431: {430,\n",
              "  432,\n",
              "  446,\n",
              "  5011,\n",
              "  5026,\n",
              "  5041,\n",
              "  5056,\n",
              "  5071,\n",
              "  5086,\n",
              "  5102,\n",
              "  5117,\n",
              "  5132,\n",
              "  5147,\n",
              "  5161,\n",
              "  5176},\n",
              " 432: {431,\n",
              "  433,\n",
              "  447,\n",
              "  5191,\n",
              "  5206,\n",
              "  5221,\n",
              "  5236,\n",
              "  5251,\n",
              "  5266,\n",
              "  5282,\n",
              "  5297,\n",
              "  5312,\n",
              "  5327,\n",
              "  5341,\n",
              "  5356},\n",
              " 433: {432,\n",
              "  434,\n",
              "  448,\n",
              "  5371,\n",
              "  5386,\n",
              "  5401,\n",
              "  5416,\n",
              "  5431,\n",
              "  5446,\n",
              "  5462,\n",
              "  5477,\n",
              "  5492,\n",
              "  5507,\n",
              "  5521,\n",
              "  5536},\n",
              " 434: {433,\n",
              "  449,\n",
              "  5551,\n",
              "  5566,\n",
              "  5581,\n",
              "  5596,\n",
              "  5611,\n",
              "  5626,\n",
              "  5642,\n",
              "  5657,\n",
              "  5672,\n",
              "  5687,\n",
              "  5701,\n",
              "  5716},\n",
              " 435: {420,\n",
              "  436,\n",
              "  3031,\n",
              "  3046,\n",
              "  3061,\n",
              "  3076,\n",
              "  3091,\n",
              "  3106,\n",
              "  3122,\n",
              "  3137,\n",
              "  3152,\n",
              "  3167,\n",
              "  3181,\n",
              "  3196},\n",
              " 436: {421,\n",
              "  435,\n",
              "  437,\n",
              "  3211,\n",
              "  3226,\n",
              "  3241,\n",
              "  3256,\n",
              "  3271,\n",
              "  3286,\n",
              "  3302,\n",
              "  3317,\n",
              "  3332,\n",
              "  3347,\n",
              "  3361,\n",
              "  3376},\n",
              " 437: {422,\n",
              "  436,\n",
              "  438,\n",
              "  3391,\n",
              "  3406,\n",
              "  3421,\n",
              "  3436,\n",
              "  3451,\n",
              "  3466,\n",
              "  3482,\n",
              "  3497,\n",
              "  3512,\n",
              "  3527,\n",
              "  3541,\n",
              "  3556},\n",
              " 438: {423,\n",
              "  437,\n",
              "  439,\n",
              "  3571,\n",
              "  3586,\n",
              "  3601,\n",
              "  3616,\n",
              "  3631,\n",
              "  3646,\n",
              "  3662,\n",
              "  3677,\n",
              "  3692,\n",
              "  3707,\n",
              "  3721,\n",
              "  3736},\n",
              " 439: {424,\n",
              "  438,\n",
              "  440,\n",
              "  3751,\n",
              "  3766,\n",
              "  3781,\n",
              "  3796,\n",
              "  3811,\n",
              "  3826,\n",
              "  3842,\n",
              "  3857,\n",
              "  3872,\n",
              "  3887,\n",
              "  3901,\n",
              "  3916},\n",
              " 440: {425,\n",
              "  439,\n",
              "  441,\n",
              "  3931,\n",
              "  3946,\n",
              "  3961,\n",
              "  3976,\n",
              "  3991,\n",
              "  4006,\n",
              "  4022,\n",
              "  4037,\n",
              "  4052,\n",
              "  4067,\n",
              "  4081,\n",
              "  4096},\n",
              " 441: {426,\n",
              "  440,\n",
              "  442,\n",
              "  4111,\n",
              "  4126,\n",
              "  4141,\n",
              "  4156,\n",
              "  4171,\n",
              "  4186,\n",
              "  4202,\n",
              "  4217,\n",
              "  4232,\n",
              "  4247,\n",
              "  4261,\n",
              "  4276},\n",
              " 442: {427,\n",
              "  441,\n",
              "  443,\n",
              "  4291,\n",
              "  4306,\n",
              "  4321,\n",
              "  4336,\n",
              "  4351,\n",
              "  4366,\n",
              "  4382,\n",
              "  4397,\n",
              "  4412,\n",
              "  4427,\n",
              "  4441,\n",
              "  4456},\n",
              " 443: {428,\n",
              "  442,\n",
              "  444,\n",
              "  4471,\n",
              "  4486,\n",
              "  4501,\n",
              "  4516,\n",
              "  4531,\n",
              "  4546,\n",
              "  4562,\n",
              "  4577,\n",
              "  4592,\n",
              "  4607,\n",
              "  4621,\n",
              "  4636},\n",
              " 444: {429,\n",
              "  443,\n",
              "  445,\n",
              "  4651,\n",
              "  4666,\n",
              "  4681,\n",
              "  4696,\n",
              "  4711,\n",
              "  4726,\n",
              "  4742,\n",
              "  4757,\n",
              "  4772,\n",
              "  4787,\n",
              "  4801,\n",
              "  4816},\n",
              " 445: {430,\n",
              "  444,\n",
              "  446,\n",
              "  4831,\n",
              "  4846,\n",
              "  4861,\n",
              "  4876,\n",
              "  4891,\n",
              "  4906,\n",
              "  4922,\n",
              "  4937,\n",
              "  4952,\n",
              "  4967,\n",
              "  4981,\n",
              "  4996},\n",
              " 446: {431,\n",
              "  445,\n",
              "  447,\n",
              "  5011,\n",
              "  5026,\n",
              "  5041,\n",
              "  5056,\n",
              "  5071,\n",
              "  5086,\n",
              "  5102,\n",
              "  5117,\n",
              "  5132,\n",
              "  5147,\n",
              "  5161,\n",
              "  5176},\n",
              " 447: {432,\n",
              "  446,\n",
              "  448,\n",
              "  5191,\n",
              "  5206,\n",
              "  5221,\n",
              "  5236,\n",
              "  5251,\n",
              "  5266,\n",
              "  5282,\n",
              "  5297,\n",
              "  5312,\n",
              "  5327,\n",
              "  5341,\n",
              "  5356},\n",
              " 448: {433,\n",
              "  447,\n",
              "  449,\n",
              "  5371,\n",
              "  5386,\n",
              "  5401,\n",
              "  5416,\n",
              "  5431,\n",
              "  5446,\n",
              "  5462,\n",
              "  5477,\n",
              "  5492,\n",
              "  5507,\n",
              "  5521,\n",
              "  5536},\n",
              " 449: {434,\n",
              "  448,\n",
              "  5551,\n",
              "  5566,\n",
              "  5581,\n",
              "  5596,\n",
              "  5611,\n",
              "  5626,\n",
              "  5642,\n",
              "  5657,\n",
              "  5672,\n",
              "  5687,\n",
              "  5701,\n",
              "  5716},\n",
              " 450: {451,\n",
              "  465,\n",
              "  3031,\n",
              "  3046,\n",
              "  3062,\n",
              "  3077,\n",
              "  3092,\n",
              "  3107,\n",
              "  3122,\n",
              "  3137,\n",
              "  3152,\n",
              "  3167,\n",
              "  3181,\n",
              "  3196},\n",
              " 451: {450,\n",
              "  452,\n",
              "  466,\n",
              "  3211,\n",
              "  3226,\n",
              "  3242,\n",
              "  3257,\n",
              "  3272,\n",
              "  3287,\n",
              "  3302,\n",
              "  3317,\n",
              "  3332,\n",
              "  3347,\n",
              "  3361,\n",
              "  3376},\n",
              " 452: {451,\n",
              "  453,\n",
              "  467,\n",
              "  3391,\n",
              "  3406,\n",
              "  3422,\n",
              "  3437,\n",
              "  3452,\n",
              "  3467,\n",
              "  3482,\n",
              "  3497,\n",
              "  3512,\n",
              "  3527,\n",
              "  3541,\n",
              "  3556},\n",
              " 453: {452,\n",
              "  454,\n",
              "  468,\n",
              "  3571,\n",
              "  3586,\n",
              "  3602,\n",
              "  3617,\n",
              "  3632,\n",
              "  3647,\n",
              "  3662,\n",
              "  3677,\n",
              "  3692,\n",
              "  3707,\n",
              "  3721,\n",
              "  3736},\n",
              " 454: {453,\n",
              "  455,\n",
              "  469,\n",
              "  3751,\n",
              "  3766,\n",
              "  3782,\n",
              "  3797,\n",
              "  3812,\n",
              "  3827,\n",
              "  3842,\n",
              "  3857,\n",
              "  3872,\n",
              "  3887,\n",
              "  3901,\n",
              "  3916},\n",
              " 455: {454,\n",
              "  456,\n",
              "  470,\n",
              "  3931,\n",
              "  3946,\n",
              "  3962,\n",
              "  3977,\n",
              "  3992,\n",
              "  4007,\n",
              "  4022,\n",
              "  4037,\n",
              "  4052,\n",
              "  4067,\n",
              "  4081,\n",
              "  4096},\n",
              " 456: {455,\n",
              "  457,\n",
              "  471,\n",
              "  4111,\n",
              "  4126,\n",
              "  4142,\n",
              "  4157,\n",
              "  4172,\n",
              "  4187,\n",
              "  4202,\n",
              "  4217,\n",
              "  4232,\n",
              "  4247,\n",
              "  4261,\n",
              "  4276},\n",
              " 457: {456,\n",
              "  458,\n",
              "  472,\n",
              "  4291,\n",
              "  4306,\n",
              "  4322,\n",
              "  4337,\n",
              "  4352,\n",
              "  4367,\n",
              "  4382,\n",
              "  4397,\n",
              "  4412,\n",
              "  4427,\n",
              "  4441,\n",
              "  4456},\n",
              " 458: {457,\n",
              "  459,\n",
              "  473,\n",
              "  4471,\n",
              "  4486,\n",
              "  4502,\n",
              "  4517,\n",
              "  4532,\n",
              "  4547,\n",
              "  4562,\n",
              "  4577,\n",
              "  4592,\n",
              "  4607,\n",
              "  4621,\n",
              "  4636},\n",
              " 459: {458,\n",
              "  460,\n",
              "  474,\n",
              "  4651,\n",
              "  4666,\n",
              "  4682,\n",
              "  4697,\n",
              "  4712,\n",
              "  4727,\n",
              "  4742,\n",
              "  4757,\n",
              "  4772,\n",
              "  4787,\n",
              "  4801,\n",
              "  4816},\n",
              " 460: {459,\n",
              "  461,\n",
              "  475,\n",
              "  4831,\n",
              "  4846,\n",
              "  4862,\n",
              "  4877,\n",
              "  4892,\n",
              "  4907,\n",
              "  4922,\n",
              "  4937,\n",
              "  4952,\n",
              "  4967,\n",
              "  4981,\n",
              "  4996},\n",
              " 461: {460,\n",
              "  462,\n",
              "  476,\n",
              "  5011,\n",
              "  5026,\n",
              "  5042,\n",
              "  5057,\n",
              "  5072,\n",
              "  5087,\n",
              "  5102,\n",
              "  5117,\n",
              "  5132,\n",
              "  5147,\n",
              "  5161,\n",
              "  5176},\n",
              " 462: {461,\n",
              "  463,\n",
              "  477,\n",
              "  5191,\n",
              "  5206,\n",
              "  5222,\n",
              "  5237,\n",
              "  5252,\n",
              "  5267,\n",
              "  5282,\n",
              "  5297,\n",
              "  5312,\n",
              "  5327,\n",
              "  5341,\n",
              "  5356},\n",
              " 463: {462,\n",
              "  464,\n",
              "  478,\n",
              "  5371,\n",
              "  5386,\n",
              "  5402,\n",
              "  5417,\n",
              "  5432,\n",
              "  5447,\n",
              "  5462,\n",
              "  5477,\n",
              "  5492,\n",
              "  5507,\n",
              "  5521,\n",
              "  5536},\n",
              " 464: {463,\n",
              "  479,\n",
              "  5551,\n",
              "  5566,\n",
              "  5582,\n",
              "  5597,\n",
              "  5612,\n",
              "  5627,\n",
              "  5642,\n",
              "  5657,\n",
              "  5672,\n",
              "  5687,\n",
              "  5701,\n",
              "  5716},\n",
              " 465: {450,\n",
              "  466,\n",
              "  3031,\n",
              "  3046,\n",
              "  3062,\n",
              "  3077,\n",
              "  3092,\n",
              "  3107,\n",
              "  3122,\n",
              "  3137,\n",
              "  3152,\n",
              "  3167,\n",
              "  3181,\n",
              "  3196},\n",
              " 466: {451,\n",
              "  465,\n",
              "  467,\n",
              "  3211,\n",
              "  3226,\n",
              "  3242,\n",
              "  3257,\n",
              "  3272,\n",
              "  3287,\n",
              "  3302,\n",
              "  3317,\n",
              "  3332,\n",
              "  3347,\n",
              "  3361,\n",
              "  3376},\n",
              " 467: {452,\n",
              "  466,\n",
              "  468,\n",
              "  3391,\n",
              "  3406,\n",
              "  3422,\n",
              "  3437,\n",
              "  3452,\n",
              "  3467,\n",
              "  3482,\n",
              "  3497,\n",
              "  3512,\n",
              "  3527,\n",
              "  3541,\n",
              "  3556},\n",
              " 468: {453,\n",
              "  467,\n",
              "  469,\n",
              "  3571,\n",
              "  3586,\n",
              "  3602,\n",
              "  3617,\n",
              "  3632,\n",
              "  3647,\n",
              "  3662,\n",
              "  3677,\n",
              "  3692,\n",
              "  3707,\n",
              "  3721,\n",
              "  3736},\n",
              " 469: {454,\n",
              "  468,\n",
              "  470,\n",
              "  3751,\n",
              "  3766,\n",
              "  3782,\n",
              "  3797,\n",
              "  3812,\n",
              "  3827,\n",
              "  3842,\n",
              "  3857,\n",
              "  3872,\n",
              "  3887,\n",
              "  3901,\n",
              "  3916},\n",
              " 470: {455,\n",
              "  469,\n",
              "  471,\n",
              "  3931,\n",
              "  3946,\n",
              "  3962,\n",
              "  3977,\n",
              "  3992,\n",
              "  4007,\n",
              "  4022,\n",
              "  4037,\n",
              "  4052,\n",
              "  4067,\n",
              "  4081,\n",
              "  4096},\n",
              " 471: {456,\n",
              "  470,\n",
              "  472,\n",
              "  4111,\n",
              "  4126,\n",
              "  4142,\n",
              "  4157,\n",
              "  4172,\n",
              "  4187,\n",
              "  4202,\n",
              "  4217,\n",
              "  4232,\n",
              "  4247,\n",
              "  4261,\n",
              "  4276},\n",
              " 472: {457,\n",
              "  471,\n",
              "  473,\n",
              "  4291,\n",
              "  4306,\n",
              "  4322,\n",
              "  4337,\n",
              "  4352,\n",
              "  4367,\n",
              "  4382,\n",
              "  4397,\n",
              "  4412,\n",
              "  4427,\n",
              "  4441,\n",
              "  4456},\n",
              " 473: {458,\n",
              "  472,\n",
              "  474,\n",
              "  4471,\n",
              "  4486,\n",
              "  4502,\n",
              "  4517,\n",
              "  4532,\n",
              "  4547,\n",
              "  4562,\n",
              "  4577,\n",
              "  4592,\n",
              "  4607,\n",
              "  4621,\n",
              "  4636},\n",
              " 474: {459,\n",
              "  473,\n",
              "  475,\n",
              "  4651,\n",
              "  4666,\n",
              "  4682,\n",
              "  4697,\n",
              "  4712,\n",
              "  4727,\n",
              "  4742,\n",
              "  4757,\n",
              "  4772,\n",
              "  4787,\n",
              "  4801,\n",
              "  4816},\n",
              " 475: {460,\n",
              "  474,\n",
              "  476,\n",
              "  4831,\n",
              "  4846,\n",
              "  4862,\n",
              "  4877,\n",
              "  4892,\n",
              "  4907,\n",
              "  4922,\n",
              "  4937,\n",
              "  4952,\n",
              "  4967,\n",
              "  4981,\n",
              "  4996},\n",
              " 476: {461,\n",
              "  475,\n",
              "  477,\n",
              "  5011,\n",
              "  5026,\n",
              "  5042,\n",
              "  5057,\n",
              "  5072,\n",
              "  5087,\n",
              "  5102,\n",
              "  5117,\n",
              "  5132,\n",
              "  5147,\n",
              "  5161,\n",
              "  5176},\n",
              " 477: {462,\n",
              "  476,\n",
              "  478,\n",
              "  5191,\n",
              "  5206,\n",
              "  5222,\n",
              "  5237,\n",
              "  5252,\n",
              "  5267,\n",
              "  5282,\n",
              "  5297,\n",
              "  5312,\n",
              "  5327,\n",
              "  5341,\n",
              "  5356},\n",
              " 478: {463,\n",
              "  477,\n",
              "  479,\n",
              "  5371,\n",
              "  5386,\n",
              "  5402,\n",
              "  5417,\n",
              "  5432,\n",
              "  5447,\n",
              "  5462,\n",
              "  5477,\n",
              "  5492,\n",
              "  5507,\n",
              "  5521,\n",
              "  5536},\n",
              " 479: {464,\n",
              "  478,\n",
              "  5551,\n",
              "  5566,\n",
              "  5582,\n",
              "  5597,\n",
              "  5612,\n",
              "  5627,\n",
              "  5642,\n",
              "  5657,\n",
              "  5672,\n",
              "  5687,\n",
              "  5701,\n",
              "  5716},\n",
              " 480: {481,\n",
              "  495,\n",
              "  2972,\n",
              "  2987,\n",
              "  3001,\n",
              "  3016,\n",
              "  3031,\n",
              "  3046,\n",
              "  3062,\n",
              "  3077,\n",
              "  3092,\n",
              "  3107,\n",
              "  3122,\n",
              "  3137},\n",
              " 481: {480,\n",
              "  482,\n",
              "  496,\n",
              "  3152,\n",
              "  3167,\n",
              "  3181,\n",
              "  3196,\n",
              "  3211,\n",
              "  3226,\n",
              "  3242,\n",
              "  3257,\n",
              "  3272,\n",
              "  3287,\n",
              "  3302,\n",
              "  3317},\n",
              " 482: {481,\n",
              "  483,\n",
              "  497,\n",
              "  3332,\n",
              "  3347,\n",
              "  3361,\n",
              "  3376,\n",
              "  3391,\n",
              "  3406,\n",
              "  3422,\n",
              "  3437,\n",
              "  3452,\n",
              "  3467,\n",
              "  3482,\n",
              "  3497},\n",
              " 483: {482,\n",
              "  484,\n",
              "  498,\n",
              "  3512,\n",
              "  3527,\n",
              "  3541,\n",
              "  3556,\n",
              "  3571,\n",
              "  3586,\n",
              "  3602,\n",
              "  3617,\n",
              "  3632,\n",
              "  3647,\n",
              "  3662,\n",
              "  3677},\n",
              " 484: {483,\n",
              "  485,\n",
              "  499,\n",
              "  3692,\n",
              "  3707,\n",
              "  3721,\n",
              "  3736,\n",
              "  3751,\n",
              "  3766,\n",
              "  3782,\n",
              "  3797,\n",
              "  3812,\n",
              "  3827,\n",
              "  3842,\n",
              "  3857},\n",
              " 485: {484,\n",
              "  486,\n",
              "  500,\n",
              "  3872,\n",
              "  3887,\n",
              "  3901,\n",
              "  3916,\n",
              "  3931,\n",
              "  3946,\n",
              "  3962,\n",
              "  3977,\n",
              "  3992,\n",
              "  4007,\n",
              "  4022,\n",
              "  4037},\n",
              " 486: {485,\n",
              "  487,\n",
              "  501,\n",
              "  4052,\n",
              "  4067,\n",
              "  4081,\n",
              "  4096,\n",
              "  4111,\n",
              "  4126,\n",
              "  4142,\n",
              "  4157,\n",
              "  4172,\n",
              "  4187,\n",
              "  4202,\n",
              "  4217},\n",
              " 487: {486,\n",
              "  488,\n",
              "  502,\n",
              "  4232,\n",
              "  4247,\n",
              "  4261,\n",
              "  4276,\n",
              "  4291,\n",
              "  4306,\n",
              "  4322,\n",
              "  4337,\n",
              "  4352,\n",
              "  4367,\n",
              "  4382,\n",
              "  4397},\n",
              " 488: {487,\n",
              "  489,\n",
              "  503,\n",
              "  4412,\n",
              "  4427,\n",
              "  4441,\n",
              "  4456,\n",
              "  4471,\n",
              "  4486,\n",
              "  4502,\n",
              "  4517,\n",
              "  4532,\n",
              "  4547,\n",
              "  4562,\n",
              "  4577},\n",
              " 489: {488,\n",
              "  490,\n",
              "  504,\n",
              "  4592,\n",
              "  4607,\n",
              "  4621,\n",
              "  4636,\n",
              "  4651,\n",
              "  4682,\n",
              "  4697,\n",
              "  4712,\n",
              "  4727,\n",
              "  4742,\n",
              "  4757},\n",
              " 490: {489,\n",
              "  491,\n",
              "  505,\n",
              "  4772,\n",
              "  4787,\n",
              "  4801,\n",
              "  4816,\n",
              "  4831,\n",
              "  4846,\n",
              "  4862,\n",
              "  4877,\n",
              "  4892,\n",
              "  4907,\n",
              "  4922,\n",
              "  4937},\n",
              " 491: {490,\n",
              "  492,\n",
              "  506,\n",
              "  4952,\n",
              "  4967,\n",
              "  4981,\n",
              "  4996,\n",
              "  5011,\n",
              "  5026,\n",
              "  5042,\n",
              "  5057,\n",
              "  5072,\n",
              "  5087,\n",
              "  5102,\n",
              "  5117},\n",
              " 492: {491,\n",
              "  493,\n",
              "  507,\n",
              "  5132,\n",
              "  5147,\n",
              "  5161,\n",
              "  5176,\n",
              "  5191,\n",
              "  5206,\n",
              "  5222,\n",
              "  5237,\n",
              "  5252,\n",
              "  5267,\n",
              "  5282,\n",
              "  5297},\n",
              " 493: {492,\n",
              "  494,\n",
              "  508,\n",
              "  5312,\n",
              "  5327,\n",
              "  5341,\n",
              "  5356,\n",
              "  5371,\n",
              "  5386,\n",
              "  5402,\n",
              "  5417,\n",
              "  5432,\n",
              "  5447,\n",
              "  5462,\n",
              "  5477},\n",
              " 494: {493,\n",
              "  509,\n",
              "  5492,\n",
              "  5507,\n",
              "  5521,\n",
              "  5536,\n",
              "  5551,\n",
              "  5566,\n",
              "  5582,\n",
              "  5597,\n",
              "  5612,\n",
              "  5627,\n",
              "  5642,\n",
              "  5657},\n",
              " 495: {480,\n",
              "  496,\n",
              "  2972,\n",
              "  2987,\n",
              "  3001,\n",
              "  3016,\n",
              "  3031,\n",
              "  3046,\n",
              "  3062,\n",
              "  3077,\n",
              "  3092,\n",
              "  3107,\n",
              "  3122,\n",
              "  3137},\n",
              " 496: {481,\n",
              "  495,\n",
              "  497,\n",
              "  3152,\n",
              "  3167,\n",
              "  3181,\n",
              "  3196,\n",
              "  3211,\n",
              "  3226,\n",
              "  3242,\n",
              "  3257,\n",
              "  3272,\n",
              "  3287,\n",
              "  3302,\n",
              "  3317},\n",
              " 497: {482,\n",
              "  496,\n",
              "  498,\n",
              "  3332,\n",
              "  3347,\n",
              "  3361,\n",
              "  3376,\n",
              "  3391,\n",
              "  3406,\n",
              "  3422,\n",
              "  3437,\n",
              "  3452,\n",
              "  3467,\n",
              "  3482,\n",
              "  3497},\n",
              " 498: {483,\n",
              "  497,\n",
              "  499,\n",
              "  3512,\n",
              "  3527,\n",
              "  3541,\n",
              "  3556,\n",
              "  3571,\n",
              "  3586,\n",
              "  3602,\n",
              "  3617,\n",
              "  3632,\n",
              "  3647,\n",
              "  3662,\n",
              "  3677},\n",
              " 499: {484,\n",
              "  498,\n",
              "  500,\n",
              "  3692,\n",
              "  3707,\n",
              "  3721,\n",
              "  3736,\n",
              "  3751,\n",
              "  3766,\n",
              "  3782,\n",
              "  3797,\n",
              "  3812,\n",
              "  3827,\n",
              "  3842,\n",
              "  3857},\n",
              " 500: {485,\n",
              "  499,\n",
              "  501,\n",
              "  3872,\n",
              "  3887,\n",
              "  3901,\n",
              "  3916,\n",
              "  3931,\n",
              "  3946,\n",
              "  3962,\n",
              "  3977,\n",
              "  3992,\n",
              "  4007,\n",
              "  4022,\n",
              "  4037},\n",
              " 501: {486,\n",
              "  500,\n",
              "  502,\n",
              "  4052,\n",
              "  4067,\n",
              "  4081,\n",
              "  4096,\n",
              "  4111,\n",
              "  4126,\n",
              "  4142,\n",
              "  4157,\n",
              "  4172,\n",
              "  4187,\n",
              "  4202,\n",
              "  4217},\n",
              " 502: {487,\n",
              "  501,\n",
              "  503,\n",
              "  4232,\n",
              "  4247,\n",
              "  4261,\n",
              "  4276,\n",
              "  4291,\n",
              "  4306,\n",
              "  4322,\n",
              "  4337,\n",
              "  4352,\n",
              "  4367,\n",
              "  4382,\n",
              "  4397},\n",
              " 503: {488,\n",
              "  502,\n",
              "  504,\n",
              "  4412,\n",
              "  4427,\n",
              "  4441,\n",
              "  4456,\n",
              "  4471,\n",
              "  4486,\n",
              "  4502,\n",
              "  4517,\n",
              "  4532,\n",
              "  4547,\n",
              "  4562,\n",
              "  4577},\n",
              " 504: {489,\n",
              "  503,\n",
              "  505,\n",
              "  4592,\n",
              "  4607,\n",
              "  4621,\n",
              "  4636,\n",
              "  4651,\n",
              "  4666,\n",
              "  4682,\n",
              "  4697,\n",
              "  4712,\n",
              "  4727,\n",
              "  4742,\n",
              "  4757},\n",
              " 505: {490,\n",
              "  504,\n",
              "  506,\n",
              "  4772,\n",
              "  4787,\n",
              "  4801,\n",
              "  4816,\n",
              "  4831,\n",
              "  4846,\n",
              "  4862,\n",
              "  4877,\n",
              "  4892,\n",
              "  4907,\n",
              "  4922,\n",
              "  4937},\n",
              " 506: {491,\n",
              "  505,\n",
              "  507,\n",
              "  4952,\n",
              "  4967,\n",
              "  4981,\n",
              "  4996,\n",
              "  5011,\n",
              "  5026,\n",
              "  5042,\n",
              "  5057,\n",
              "  5072,\n",
              "  5087,\n",
              "  5102,\n",
              "  5117},\n",
              " 507: {492,\n",
              "  506,\n",
              "  508,\n",
              "  5132,\n",
              "  5147,\n",
              "  5161,\n",
              "  5176,\n",
              "  5191,\n",
              "  5206,\n",
              "  5222,\n",
              "  5237,\n",
              "  5252,\n",
              "  5267,\n",
              "  5282,\n",
              "  5297},\n",
              " 508: {493,\n",
              "  507,\n",
              "  509,\n",
              "  5312,\n",
              "  5327,\n",
              "  5341,\n",
              "  5356,\n",
              "  5371,\n",
              "  5386,\n",
              "  5402,\n",
              "  5417,\n",
              "  5432,\n",
              "  5447,\n",
              "  5462,\n",
              "  5477},\n",
              " 509: {494,\n",
              "  508,\n",
              "  5492,\n",
              "  5507,\n",
              "  5521,\n",
              "  5536,\n",
              "  5551,\n",
              "  5566,\n",
              "  5582,\n",
              "  5597,\n",
              "  5612,\n",
              "  5627,\n",
              "  5642,\n",
              "  5657},\n",
              " 510: {511,\n",
              "  525,\n",
              "  2972,\n",
              "  2987,\n",
              "  3002,\n",
              "  3017,\n",
              "  3032,\n",
              "  3047,\n",
              "  3062,\n",
              "  3077,\n",
              "  3092,\n",
              "  3107,\n",
              "  3122,\n",
              "  3137},\n",
              " 511: {510,\n",
              "  512,\n",
              "  526,\n",
              "  3152,\n",
              "  3167,\n",
              "  3182,\n",
              "  3197,\n",
              "  3212,\n",
              "  3227,\n",
              "  3242,\n",
              "  3257,\n",
              "  3272,\n",
              "  3287,\n",
              "  3302,\n",
              "  3317},\n",
              " 512: {511,\n",
              "  513,\n",
              "  527,\n",
              "  3332,\n",
              "  3347,\n",
              "  3362,\n",
              "  3377,\n",
              "  3392,\n",
              "  3407,\n",
              "  3422,\n",
              "  3437,\n",
              "  3452,\n",
              "  3467,\n",
              "  3482,\n",
              "  3497},\n",
              " 513: {512,\n",
              "  514,\n",
              "  528,\n",
              "  3512,\n",
              "  3527,\n",
              "  3542,\n",
              "  3557,\n",
              "  3572,\n",
              "  3587,\n",
              "  3602,\n",
              "  3617,\n",
              "  3632,\n",
              "  3647,\n",
              "  3662,\n",
              "  3677},\n",
              " 514: {513,\n",
              "  515,\n",
              "  529,\n",
              "  3692,\n",
              "  3707,\n",
              "  3722,\n",
              "  3737,\n",
              "  3752,\n",
              "  3767,\n",
              "  3782,\n",
              "  3797,\n",
              "  3812,\n",
              "  3827,\n",
              "  3842,\n",
              "  3857},\n",
              " 515: {514,\n",
              "  516,\n",
              "  530,\n",
              "  3872,\n",
              "  3887,\n",
              "  3902,\n",
              "  3917,\n",
              "  3932,\n",
              "  3947,\n",
              "  3962,\n",
              "  3977,\n",
              "  3992,\n",
              "  4007,\n",
              "  4022,\n",
              "  4037},\n",
              " 516: {515,\n",
              "  517,\n",
              "  531,\n",
              "  4052,\n",
              "  4067,\n",
              "  4082,\n",
              "  4097,\n",
              "  4112,\n",
              "  4127,\n",
              "  4142,\n",
              "  4157,\n",
              "  4172,\n",
              "  4187,\n",
              "  4202,\n",
              "  4217},\n",
              " 517: {516,\n",
              "  518,\n",
              "  532,\n",
              "  4232,\n",
              "  4247,\n",
              "  4262,\n",
              "  4277,\n",
              "  4292,\n",
              "  4307,\n",
              "  4322,\n",
              "  4337,\n",
              "  4352,\n",
              "  4367,\n",
              "  4382,\n",
              "  4397},\n",
              " 518: {517,\n",
              "  519,\n",
              "  533,\n",
              "  4412,\n",
              "  4427,\n",
              "  4442,\n",
              "  4457,\n",
              "  4472,\n",
              "  4487,\n",
              "  4502,\n",
              "  4517,\n",
              "  4532,\n",
              "  4547,\n",
              "  4562,\n",
              "  4577},\n",
              " 519: {518,\n",
              "  520,\n",
              "  534,\n",
              "  4592,\n",
              "  4607,\n",
              "  4622,\n",
              "  4637,\n",
              "  4652,\n",
              "  4667,\n",
              "  4682,\n",
              "  4697,\n",
              "  4712,\n",
              "  4727,\n",
              "  4742,\n",
              "  4757},\n",
              " 520: {519,\n",
              "  521,\n",
              "  535,\n",
              "  4772,\n",
              "  4787,\n",
              "  4802,\n",
              "  4817,\n",
              "  4832,\n",
              "  4847,\n",
              "  4862,\n",
              "  4877,\n",
              "  4892,\n",
              "  4907,\n",
              "  4922,\n",
              "  4937},\n",
              " 521: {520,\n",
              "  522,\n",
              "  536,\n",
              "  4952,\n",
              "  4967,\n",
              "  4982,\n",
              "  4997,\n",
              "  5012,\n",
              "  5027,\n",
              "  5042,\n",
              "  5057,\n",
              "  5072,\n",
              "  5087,\n",
              "  5102,\n",
              "  5117},\n",
              " 522: {521,\n",
              "  523,\n",
              "  537,\n",
              "  5132,\n",
              "  5147,\n",
              "  5162,\n",
              "  5177,\n",
              "  5192,\n",
              "  5207,\n",
              "  5222,\n",
              "  5237,\n",
              "  5252,\n",
              "  5267,\n",
              "  5282,\n",
              "  5297},\n",
              " 523: {522,\n",
              "  524,\n",
              "  538,\n",
              "  5312,\n",
              "  5327,\n",
              "  5342,\n",
              "  5357,\n",
              "  5372,\n",
              "  5387,\n",
              "  5402,\n",
              "  5417,\n",
              "  5432,\n",
              "  5447,\n",
              "  5462,\n",
              "  5477},\n",
              " 524: {523,\n",
              "  539,\n",
              "  5492,\n",
              "  5507,\n",
              "  5522,\n",
              "  5537,\n",
              "  5552,\n",
              "  5567,\n",
              "  5582,\n",
              "  5597,\n",
              "  5612,\n",
              "  5627,\n",
              "  5642,\n",
              "  5657},\n",
              " 525: {510,\n",
              "  526,\n",
              "  2972,\n",
              "  2987,\n",
              "  3002,\n",
              "  3017,\n",
              "  3032,\n",
              "  3047,\n",
              "  3062,\n",
              "  3077,\n",
              "  3092,\n",
              "  3107,\n",
              "  3122,\n",
              "  3137},\n",
              " 526: {511,\n",
              "  525,\n",
              "  527,\n",
              "  3152,\n",
              "  3167,\n",
              "  3182,\n",
              "  3197,\n",
              "  3212,\n",
              "  3227,\n",
              "  3242,\n",
              "  3257,\n",
              "  3272,\n",
              "  3287,\n",
              "  3302,\n",
              "  3317},\n",
              " 527: {512,\n",
              "  526,\n",
              "  528,\n",
              "  3332,\n",
              "  3347,\n",
              "  3362,\n",
              "  3377,\n",
              "  3392,\n",
              "  3407,\n",
              "  3422,\n",
              "  3437,\n",
              "  3452,\n",
              "  3467,\n",
              "  3482,\n",
              "  3497},\n",
              " 528: {513,\n",
              "  527,\n",
              "  529,\n",
              "  3512,\n",
              "  3527,\n",
              "  3542,\n",
              "  3557,\n",
              "  3572,\n",
              "  3587,\n",
              "  3602,\n",
              "  3617,\n",
              "  3632,\n",
              "  3647,\n",
              "  3662,\n",
              "  3677},\n",
              " 529: {514,\n",
              "  528,\n",
              "  530,\n",
              "  3692,\n",
              "  3707,\n",
              "  3722,\n",
              "  3737,\n",
              "  3752,\n",
              "  3767,\n",
              "  3782,\n",
              "  3797,\n",
              "  3812,\n",
              "  3827,\n",
              "  3842,\n",
              "  3857},\n",
              " 530: {515,\n",
              "  529,\n",
              "  531,\n",
              "  3872,\n",
              "  3887,\n",
              "  3902,\n",
              "  3917,\n",
              "  3932,\n",
              "  3947,\n",
              "  3962,\n",
              "  3977,\n",
              "  3992,\n",
              "  4007,\n",
              "  4022,\n",
              "  4037},\n",
              " 531: {516,\n",
              "  530,\n",
              "  532,\n",
              "  4052,\n",
              "  4067,\n",
              "  4082,\n",
              "  4097,\n",
              "  4112,\n",
              "  4127,\n",
              "  4142,\n",
              "  4157,\n",
              "  4172,\n",
              "  4187,\n",
              "  4202,\n",
              "  4217},\n",
              " 532: {517,\n",
              "  531,\n",
              "  533,\n",
              "  4232,\n",
              "  4247,\n",
              "  4262,\n",
              "  4277,\n",
              "  4292,\n",
              "  4307,\n",
              "  4322,\n",
              "  4337,\n",
              "  4352,\n",
              "  4367,\n",
              "  4382,\n",
              "  4397},\n",
              " 533: {518,\n",
              "  532,\n",
              "  534,\n",
              "  4412,\n",
              "  4427,\n",
              "  4442,\n",
              "  4457,\n",
              "  4472,\n",
              "  4487,\n",
              "  4502,\n",
              "  4517,\n",
              "  4532,\n",
              "  4547,\n",
              "  4562,\n",
              "  4577},\n",
              " 534: {519,\n",
              "  533,\n",
              "  535,\n",
              "  4592,\n",
              "  4607,\n",
              "  4622,\n",
              "  4637,\n",
              "  4652,\n",
              "  4667,\n",
              "  4682,\n",
              "  4697,\n",
              "  4712,\n",
              "  4727,\n",
              "  4742,\n",
              "  4757},\n",
              " 535: {520,\n",
              "  534,\n",
              "  536,\n",
              "  4772,\n",
              "  4787,\n",
              "  4802,\n",
              "  4817,\n",
              "  4832,\n",
              "  4847,\n",
              "  4862,\n",
              "  4877,\n",
              "  4892,\n",
              "  4907,\n",
              "  4922,\n",
              "  4937},\n",
              " 536: {521,\n",
              "  535,\n",
              "  537,\n",
              "  4952,\n",
              "  4967,\n",
              "  4982,\n",
              "  4997,\n",
              "  5012,\n",
              "  5027,\n",
              "  5042,\n",
              "  5057,\n",
              "  5072,\n",
              "  5087,\n",
              "  5102,\n",
              "  5117},\n",
              " 537: {522,\n",
              "  536,\n",
              "  538,\n",
              "  5132,\n",
              "  5147,\n",
              "  5162,\n",
              "  5177,\n",
              "  5192,\n",
              "  5207,\n",
              "  5222,\n",
              "  5237,\n",
              "  5252,\n",
              "  5267,\n",
              "  5282,\n",
              "  5297},\n",
              " 538: {523,\n",
              "  537,\n",
              "  539,\n",
              "  5312,\n",
              "  5327,\n",
              "  5342,\n",
              "  5357,\n",
              "  5372,\n",
              "  5387,\n",
              "  5402,\n",
              "  5417,\n",
              "  5432,\n",
              "  5447,\n",
              "  5462,\n",
              "  5477},\n",
              " 539: {524,\n",
              "  538,\n",
              "  5492,\n",
              "  5507,\n",
              "  5522,\n",
              "  5537,\n",
              "  5552,\n",
              "  5567,\n",
              "  5582,\n",
              "  5597,\n",
              "  5612,\n",
              "  5627,\n",
              "  5642,\n",
              "  5657},\n",
              " 540: {541,\n",
              "  555,\n",
              "  2912,\n",
              "  2927,\n",
              "  2942,\n",
              "  2957,\n",
              "  2972,\n",
              "  2987,\n",
              "  3002,\n",
              "  3017,\n",
              "  3032,\n",
              "  3047,\n",
              "  3062,\n",
              "  3077},\n",
              " 541: {540,\n",
              "  556,\n",
              "  3092,\n",
              "  3107,\n",
              "  3122,\n",
              "  3137,\n",
              "  3152,\n",
              "  3167,\n",
              "  3182,\n",
              "  3197,\n",
              "  3212,\n",
              "  3227,\n",
              "  3242,\n",
              "  3257},\n",
              " 543: {544,\n",
              "  558,\n",
              "  3452,\n",
              "  3467,\n",
              "  3482,\n",
              "  3497,\n",
              "  3512,\n",
              "  3527,\n",
              "  3542,\n",
              "  3557,\n",
              "  3572,\n",
              "  3587,\n",
              "  3602,\n",
              "  3617},\n",
              " 544: {543,\n",
              "  545,\n",
              "  559,\n",
              "  3632,\n",
              "  3647,\n",
              "  3662,\n",
              "  3677,\n",
              "  3692,\n",
              "  3707,\n",
              "  3722,\n",
              "  3737,\n",
              "  3752,\n",
              "  3767,\n",
              "  3782,\n",
              "  3797},\n",
              " 545: {544,\n",
              "  546,\n",
              "  560,\n",
              "  3812,\n",
              "  3827,\n",
              "  3842,\n",
              "  3857,\n",
              "  3872,\n",
              "  3887,\n",
              "  3902,\n",
              "  3917,\n",
              "  3932,\n",
              "  3947,\n",
              "  3962,\n",
              "  3977},\n",
              " 546: {545,\n",
              "  547,\n",
              "  561,\n",
              "  3992,\n",
              "  4007,\n",
              "  4022,\n",
              "  4037,\n",
              "  4052,\n",
              "  4067,\n",
              "  4082,\n",
              "  4097,\n",
              "  4112,\n",
              "  4127,\n",
              "  4142,\n",
              "  4157},\n",
              " 547: {546,\n",
              "  548,\n",
              "  562,\n",
              "  4172,\n",
              "  4187,\n",
              "  4202,\n",
              "  4217,\n",
              "  4232,\n",
              "  4247,\n",
              "  4262,\n",
              "  4277,\n",
              "  4292,\n",
              "  4307,\n",
              "  4322,\n",
              "  4337},\n",
              " 548: {547,\n",
              "  549,\n",
              "  563,\n",
              "  4352,\n",
              "  4367,\n",
              "  4382,\n",
              "  4397,\n",
              "  4412,\n",
              "  4427,\n",
              "  4442,\n",
              "  4457,\n",
              "  4472,\n",
              "  4487,\n",
              "  4502,\n",
              "  4517},\n",
              " 549: {548,\n",
              "  550,\n",
              "  564,\n",
              "  4532,\n",
              "  4547,\n",
              "  4562,\n",
              "  4577,\n",
              "  4592,\n",
              "  4607,\n",
              "  4622,\n",
              "  4637,\n",
              "  4652,\n",
              "  4667,\n",
              "  4682,\n",
              "  4697},\n",
              " 550: {549,\n",
              "  551,\n",
              "  565,\n",
              "  4712,\n",
              "  4727,\n",
              "  4742,\n",
              "  4757,\n",
              "  4772,\n",
              "  4787,\n",
              "  4802,\n",
              "  4817,\n",
              "  4832,\n",
              "  4847,\n",
              "  4862,\n",
              "  4877},\n",
              " 551: {550,\n",
              "  552,\n",
              "  566,\n",
              "  4892,\n",
              "  4907,\n",
              "  4922,\n",
              "  4937,\n",
              "  4952,\n",
              "  4967,\n",
              "  4982,\n",
              "  4997,\n",
              "  5012,\n",
              "  5027,\n",
              "  5042,\n",
              "  5057},\n",
              " 552: {551,\n",
              "  553,\n",
              "  567,\n",
              "  5072,\n",
              "  5087,\n",
              "  5102,\n",
              "  5117,\n",
              "  5132,\n",
              "  5147,\n",
              "  5162,\n",
              "  5177,\n",
              "  5192,\n",
              "  5207,\n",
              "  5222,\n",
              "  5237},\n",
              " 553: {552,\n",
              "  554,\n",
              "  568,\n",
              "  5252,\n",
              "  5267,\n",
              "  5282,\n",
              "  5297,\n",
              "  5312,\n",
              "  5327,\n",
              "  5342,\n",
              "  5357,\n",
              "  5372,\n",
              "  5387,\n",
              "  5402,\n",
              "  5417},\n",
              " 554: {553,\n",
              "  569,\n",
              "  5432,\n",
              "  5447,\n",
              "  5462,\n",
              "  5477,\n",
              "  5492,\n",
              "  5507,\n",
              "  5522,\n",
              "  5537,\n",
              "  5552,\n",
              "  5567,\n",
              "  5582,\n",
              "  5597},\n",
              " 555: {540,\n",
              "  556,\n",
              "  2912,\n",
              "  2927,\n",
              "  2942,\n",
              "  2957,\n",
              "  2972,\n",
              "  2987,\n",
              "  3002,\n",
              "  3017,\n",
              "  3032,\n",
              "  3047,\n",
              "  3062,\n",
              "  3077},\n",
              " 556: {541,\n",
              "  555,\n",
              "  557,\n",
              "  3092,\n",
              "  3107,\n",
              "  3122,\n",
              "  3137,\n",
              "  3152,\n",
              "  3167,\n",
              "  3182,\n",
              "  3197,\n",
              "  3212,\n",
              "  3227,\n",
              "  3242,\n",
              "  3257},\n",
              " 557: {556,\n",
              "  558,\n",
              "  3272,\n",
              "  3287,\n",
              "  3302,\n",
              "  3317,\n",
              "  3332,\n",
              "  3347,\n",
              "  3362,\n",
              "  3377,\n",
              "  3392,\n",
              "  3407,\n",
              "  3422,\n",
              "  3437},\n",
              " 558: {543,\n",
              "  557,\n",
              "  559,\n",
              "  3452,\n",
              "  3467,\n",
              "  3482,\n",
              "  3497,\n",
              "  3512,\n",
              "  3527,\n",
              "  3542,\n",
              "  3557,\n",
              "  3572,\n",
              "  3587,\n",
              "  3602,\n",
              "  3617},\n",
              " 559: {544,\n",
              "  558,\n",
              "  560,\n",
              "  3632,\n",
              "  3647,\n",
              "  3662,\n",
              "  3677,\n",
              "  3692,\n",
              "  3707,\n",
              "  3722,\n",
              "  3737,\n",
              "  3752,\n",
              "  3767,\n",
              "  3782,\n",
              "  3797},\n",
              " 560: {545,\n",
              "  559,\n",
              "  561,\n",
              "  3812,\n",
              "  3827,\n",
              "  3842,\n",
              "  3857,\n",
              "  3872,\n",
              "  3887,\n",
              "  3902,\n",
              "  3917,\n",
              "  3932,\n",
              "  3947,\n",
              "  3962,\n",
              "  3977},\n",
              " 561: {546,\n",
              "  560,\n",
              "  562,\n",
              "  3992,\n",
              "  4007,\n",
              "  4022,\n",
              "  4037,\n",
              "  4052,\n",
              "  4067,\n",
              "  4082,\n",
              "  4097,\n",
              "  4112,\n",
              "  4127,\n",
              "  4142,\n",
              "  4157},\n",
              " 562: {547,\n",
              "  561,\n",
              "  563,\n",
              "  4172,\n",
              "  4187,\n",
              "  4202,\n",
              "  4217,\n",
              "  4232,\n",
              "  4247,\n",
              "  4262,\n",
              "  4277,\n",
              "  4292,\n",
              "  4307,\n",
              "  4322,\n",
              "  4337},\n",
              " 563: {548,\n",
              "  562,\n",
              "  564,\n",
              "  4352,\n",
              "  4367,\n",
              "  4382,\n",
              "  4397,\n",
              "  4412,\n",
              "  4427,\n",
              "  4442,\n",
              "  4457,\n",
              "  4472,\n",
              "  4487,\n",
              "  4502,\n",
              "  4517},\n",
              " 564: {549,\n",
              "  563,\n",
              "  565,\n",
              "  4532,\n",
              "  4547,\n",
              "  4562,\n",
              "  4577,\n",
              "  4592,\n",
              "  4607,\n",
              "  4622,\n",
              "  4637,\n",
              "  4652,\n",
              "  4667,\n",
              "  4682,\n",
              "  4697},\n",
              " 565: {550,\n",
              "  564,\n",
              "  566,\n",
              "  4712,\n",
              "  4727,\n",
              "  4742,\n",
              "  4757,\n",
              "  4772,\n",
              "  4787,\n",
              "  4802,\n",
              "  4817,\n",
              "  4832,\n",
              "  4847,\n",
              "  4862,\n",
              "  4877},\n",
              " 566: {551,\n",
              "  565,\n",
              "  567,\n",
              "  4892,\n",
              "  4907,\n",
              "  4922,\n",
              "  4937,\n",
              "  4952,\n",
              "  4967,\n",
              "  4982,\n",
              "  4997,\n",
              "  5012,\n",
              "  5027,\n",
              "  5042,\n",
              "  5057},\n",
              " 567: {552,\n",
              "  566,\n",
              "  568,\n",
              "  5072,\n",
              "  5087,\n",
              "  5102,\n",
              "  5117,\n",
              "  5132,\n",
              "  5147,\n",
              "  5162,\n",
              "  5177,\n",
              "  5192,\n",
              "  5207,\n",
              "  5222,\n",
              "  5237},\n",
              " 568: {553,\n",
              "  567,\n",
              "  569,\n",
              "  5252,\n",
              "  5267,\n",
              "  5282,\n",
              "  5297,\n",
              "  5312,\n",
              "  5327,\n",
              "  5342,\n",
              "  5357,\n",
              "  5372,\n",
              "  5387,\n",
              "  5402,\n",
              "  5417},\n",
              " 569: {554,\n",
              "  568,\n",
              "  5432,\n",
              "  5447,\n",
              "  5462,\n",
              "  5477,\n",
              "  5492,\n",
              "  5507,\n",
              "  5522,\n",
              "  5537,\n",
              "  5552,\n",
              "  5567,\n",
              "  5582,\n",
              "  5597},\n",
              " 570: {571,\n",
              "  585,\n",
              "  2912,\n",
              "  2927,\n",
              "  2943,\n",
              "  2958,\n",
              "  2973,\n",
              "  2988,\n",
              "  3002,\n",
              "  3017,\n",
              "  3032,\n",
              "  3047,\n",
              "  3062,\n",
              "  3077},\n",
              " 571: {570,\n",
              "  572,\n",
              "  586,\n",
              "  3092,\n",
              "  3107,\n",
              "  3123,\n",
              "  3138,\n",
              "  3153,\n",
              "  3168,\n",
              "  3182,\n",
              "  3197,\n",
              "  3212,\n",
              "  3227,\n",
              "  3242,\n",
              "  3257},\n",
              " 572: {571,\n",
              "  573,\n",
              "  587,\n",
              "  3272,\n",
              "  3287,\n",
              "  3303,\n",
              "  3318,\n",
              "  3333,\n",
              "  3348,\n",
              "  3362,\n",
              "  3377,\n",
              "  3392,\n",
              "  3407,\n",
              "  3422,\n",
              "  3437},\n",
              " 573: {572,\n",
              "  574,\n",
              "  588,\n",
              "  3452,\n",
              "  3467,\n",
              "  3483,\n",
              "  3498,\n",
              "  3513,\n",
              "  3528,\n",
              "  3542,\n",
              "  3557,\n",
              "  3572,\n",
              "  3587,\n",
              "  3602,\n",
              "  3617},\n",
              " 574: {573,\n",
              "  575,\n",
              "  589,\n",
              "  3632,\n",
              "  3647,\n",
              "  3663,\n",
              "  3678,\n",
              "  3693,\n",
              "  3708,\n",
              "  3722,\n",
              "  3737,\n",
              "  3752,\n",
              "  3767,\n",
              "  3782,\n",
              "  3797},\n",
              " 575: {574,\n",
              "  576,\n",
              "  590,\n",
              "  3812,\n",
              "  3827,\n",
              "  3843,\n",
              "  3858,\n",
              "  3873,\n",
              "  3888,\n",
              "  3902,\n",
              "  3917,\n",
              "  3932,\n",
              "  3947,\n",
              "  3962,\n",
              "  3977},\n",
              " 576: {575,\n",
              "  577,\n",
              "  591,\n",
              "  3992,\n",
              "  4007,\n",
              "  4023,\n",
              "  4038,\n",
              "  4053,\n",
              "  4068,\n",
              "  4082,\n",
              "  4097,\n",
              "  4112,\n",
              "  4127,\n",
              "  4142,\n",
              "  4157},\n",
              " 577: {576,\n",
              "  578,\n",
              "  592,\n",
              "  4172,\n",
              "  4187,\n",
              "  4203,\n",
              "  4218,\n",
              "  4233,\n",
              "  4248,\n",
              "  4262,\n",
              "  4277,\n",
              "  4292,\n",
              "  4307,\n",
              "  4322,\n",
              "  4337},\n",
              " 578: {577,\n",
              "  579,\n",
              "  593,\n",
              "  4352,\n",
              "  4367,\n",
              "  4383,\n",
              "  4398,\n",
              "  4413,\n",
              "  4428,\n",
              "  4442,\n",
              "  4457,\n",
              "  4472,\n",
              "  4487,\n",
              "  4502,\n",
              "  4517},\n",
              " 579: {578,\n",
              "  580,\n",
              "  594,\n",
              "  4532,\n",
              "  4547,\n",
              "  4563,\n",
              "  4578,\n",
              "  4593,\n",
              "  4608,\n",
              "  4622,\n",
              "  4637,\n",
              "  4652,\n",
              "  4667,\n",
              "  4682,\n",
              "  4697},\n",
              " 580: {579,\n",
              "  581,\n",
              "  595,\n",
              "  4712,\n",
              "  4727,\n",
              "  4743,\n",
              "  4758,\n",
              "  4773,\n",
              "  4788,\n",
              "  4802,\n",
              "  4817,\n",
              "  4832,\n",
              "  4847,\n",
              "  4862,\n",
              "  4877},\n",
              " 581: {580,\n",
              "  582,\n",
              "  596,\n",
              "  4892,\n",
              "  4907,\n",
              "  4923,\n",
              "  4938,\n",
              "  4953,\n",
              "  4968,\n",
              "  4982,\n",
              "  4997,\n",
              "  5012,\n",
              "  5027,\n",
              "  5042,\n",
              "  5057},\n",
              " 582: {581,\n",
              "  583,\n",
              "  597,\n",
              "  5072,\n",
              "  5087,\n",
              "  5103,\n",
              "  5118,\n",
              "  5133,\n",
              "  5148,\n",
              "  5162,\n",
              "  5177,\n",
              "  5192,\n",
              "  5207,\n",
              "  5222,\n",
              "  5237},\n",
              " 583: {582,\n",
              "  584,\n",
              "  598,\n",
              "  5252,\n",
              "  5267,\n",
              "  5283,\n",
              "  5298,\n",
              "  5313,\n",
              "  5328,\n",
              "  5342,\n",
              "  5357,\n",
              "  5372,\n",
              "  5387,\n",
              "  5402,\n",
              "  5417},\n",
              " 584: {583,\n",
              "  599,\n",
              "  5432,\n",
              "  5447,\n",
              "  5463,\n",
              "  5478,\n",
              "  5493,\n",
              "  5508,\n",
              "  5522,\n",
              "  5537,\n",
              "  5552,\n",
              "  5567,\n",
              "  5582,\n",
              "  5597},\n",
              " 585: {570,\n",
              "  586,\n",
              "  2912,\n",
              "  2927,\n",
              "  2943,\n",
              "  2958,\n",
              "  2973,\n",
              "  2988,\n",
              "  3002,\n",
              "  3017,\n",
              "  3032,\n",
              "  3047,\n",
              "  3062,\n",
              "  3077},\n",
              " 586: {571,\n",
              "  585,\n",
              "  587,\n",
              "  3092,\n",
              "  3107,\n",
              "  3123,\n",
              "  3138,\n",
              "  3153,\n",
              "  3168,\n",
              "  3182,\n",
              "  3197,\n",
              "  3212,\n",
              "  3227,\n",
              "  3242,\n",
              "  3257},\n",
              " 587: {572,\n",
              "  586,\n",
              "  588,\n",
              "  3272,\n",
              "  3287,\n",
              "  3303,\n",
              "  3318,\n",
              "  3333,\n",
              "  3348,\n",
              "  3362,\n",
              "  3377,\n",
              "  3392,\n",
              "  3407,\n",
              "  3422,\n",
              "  3437},\n",
              " 588: {573,\n",
              "  587,\n",
              "  589,\n",
              "  3452,\n",
              "  3467,\n",
              "  3483,\n",
              "  3498,\n",
              "  3513,\n",
              "  3528,\n",
              "  3542,\n",
              "  3557,\n",
              "  3572,\n",
              "  3587,\n",
              "  3602,\n",
              "  3617},\n",
              " 589: {574,\n",
              "  588,\n",
              "  590,\n",
              "  3632,\n",
              "  3647,\n",
              "  3663,\n",
              "  3678,\n",
              "  3693,\n",
              "  3708,\n",
              "  3722,\n",
              "  3737,\n",
              "  3752,\n",
              "  3767,\n",
              "  3782,\n",
              "  3797},\n",
              " 590: {575,\n",
              "  589,\n",
              "  591,\n",
              "  3812,\n",
              "  3827,\n",
              "  3843,\n",
              "  3858,\n",
              "  3873,\n",
              "  3888,\n",
              "  3902,\n",
              "  3917,\n",
              "  3932,\n",
              "  3947,\n",
              "  3962,\n",
              "  3977},\n",
              " 591: {576,\n",
              "  590,\n",
              "  592,\n",
              "  3992,\n",
              "  4007,\n",
              "  4023,\n",
              "  4038,\n",
              "  4053,\n",
              "  4068,\n",
              "  4082,\n",
              "  4097,\n",
              "  4112,\n",
              "  4127,\n",
              "  4142,\n",
              "  4157},\n",
              " 592: {577,\n",
              "  591,\n",
              "  593,\n",
              "  4172,\n",
              "  4187,\n",
              "  4203,\n",
              "  4218,\n",
              "  4233,\n",
              "  4248,\n",
              "  4262,\n",
              "  4277,\n",
              "  4292,\n",
              "  4307,\n",
              "  4322,\n",
              "  4337},\n",
              " 593: {578,\n",
              "  592,\n",
              "  594,\n",
              "  4352,\n",
              "  4367,\n",
              "  4383,\n",
              "  4398,\n",
              "  4413,\n",
              "  4428,\n",
              "  4442,\n",
              "  4457,\n",
              "  4472,\n",
              "  4487,\n",
              "  4502,\n",
              "  4517},\n",
              " 594: {579,\n",
              "  593,\n",
              "  595,\n",
              "  4532,\n",
              "  4547,\n",
              "  4563,\n",
              "  4578,\n",
              "  4593,\n",
              "  4608,\n",
              "  4622,\n",
              "  4637,\n",
              "  4652,\n",
              "  4667,\n",
              "  4682,\n",
              "  4697},\n",
              " 595: {580,\n",
              "  594,\n",
              "  596,\n",
              "  4712,\n",
              "  4727,\n",
              "  4743,\n",
              "  4758,\n",
              "  4773,\n",
              "  4788,\n",
              "  4802,\n",
              "  4817,\n",
              "  4832,\n",
              "  4847,\n",
              "  4862,\n",
              "  4877},\n",
              " 596: {581,\n",
              "  595,\n",
              "  597,\n",
              "  4892,\n",
              "  4907,\n",
              "  4923,\n",
              "  4938,\n",
              "  4953,\n",
              "  4968,\n",
              "  4982,\n",
              "  4997,\n",
              "  5012,\n",
              "  5027,\n",
              "  5042,\n",
              "  5057},\n",
              " 597: {582,\n",
              "  596,\n",
              "  598,\n",
              "  5072,\n",
              "  5087,\n",
              "  5103,\n",
              "  5118,\n",
              "  5133,\n",
              "  5148,\n",
              "  5162,\n",
              "  5177,\n",
              "  5192,\n",
              "  5207,\n",
              "  5222,\n",
              "  5237},\n",
              " 598: {583,\n",
              "  597,\n",
              "  599,\n",
              "  5252,\n",
              "  5267,\n",
              "  5283,\n",
              "  5298,\n",
              "  5313,\n",
              "  5328,\n",
              "  5342,\n",
              "  5357,\n",
              "  5372,\n",
              "  5387,\n",
              "  5402,\n",
              "  5417},\n",
              " 599: {584,\n",
              "  598,\n",
              "  5432,\n",
              "  5447,\n",
              "  5463,\n",
              "  5478,\n",
              "  5493,\n",
              "  5508,\n",
              "  5522,\n",
              "  5537,\n",
              "  5552,\n",
              "  5567,\n",
              "  5582,\n",
              "  5597},\n",
              " 600: {601,\n",
              "  615,\n",
              "  3032,\n",
              "  3047,\n",
              "  3062,\n",
              "  3077,\n",
              "  3092,\n",
              "  3107,\n",
              "  3123,\n",
              "  3138,\n",
              "  3153,\n",
              "  3168,\n",
              "  3182,\n",
              "  3197},\n",
              " 601: {600,\n",
              "  602,\n",
              "  616,\n",
              "  3212,\n",
              "  3227,\n",
              "  3242,\n",
              "  3257,\n",
              "  3272,\n",
              "  3287,\n",
              "  3303,\n",
              "  3318,\n",
              "  3333,\n",
              "  3348,\n",
              "  3362,\n",
              "  3377},\n",
              " 602: {601,\n",
              "  603,\n",
              "  617,\n",
              "  3392,\n",
              "  3407,\n",
              "  3422,\n",
              "  3437,\n",
              "  3452,\n",
              "  3467,\n",
              "  3483,\n",
              "  3498,\n",
              "  3513,\n",
              "  3528,\n",
              "  3542,\n",
              "  3557},\n",
              " 603: {602,\n",
              "  604,\n",
              "  618,\n",
              "  3572,\n",
              "  3587,\n",
              "  3602,\n",
              "  3617,\n",
              "  3632,\n",
              "  3647,\n",
              "  3663,\n",
              "  3678,\n",
              "  3693,\n",
              "  3708,\n",
              "  3722,\n",
              "  3737},\n",
              " 604: {603,\n",
              "  605,\n",
              "  619,\n",
              "  3752,\n",
              "  3767,\n",
              "  3782,\n",
              "  3797,\n",
              "  3812,\n",
              "  3827,\n",
              "  3843,\n",
              "  3858,\n",
              "  3873,\n",
              "  3888,\n",
              "  3902,\n",
              "  3917},\n",
              " 605: {604,\n",
              "  606,\n",
              "  620,\n",
              "  3932,\n",
              "  3947,\n",
              "  3962,\n",
              "  3977,\n",
              "  3992,\n",
              "  4007,\n",
              "  4023,\n",
              "  4038,\n",
              "  4053,\n",
              "  4068,\n",
              "  4082,\n",
              "  4097},\n",
              " 606: {605,\n",
              "  607,\n",
              "  621,\n",
              "  4112,\n",
              "  4127,\n",
              "  4142,\n",
              "  4157,\n",
              "  4172,\n",
              "  4187,\n",
              "  4203,\n",
              "  4218,\n",
              "  4233,\n",
              "  4248,\n",
              "  4262,\n",
              "  4277},\n",
              " 607: {606,\n",
              "  608,\n",
              "  622,\n",
              "  4292,\n",
              "  4307,\n",
              "  4322,\n",
              "  4337,\n",
              "  4352,\n",
              "  4367,\n",
              "  4383,\n",
              "  4398,\n",
              "  4413,\n",
              "  4428,\n",
              "  4442,\n",
              "  4457},\n",
              " 608: {607,\n",
              "  609,\n",
              "  623,\n",
              "  4472,\n",
              "  4487,\n",
              "  4502,\n",
              "  4517,\n",
              "  4532,\n",
              "  4547,\n",
              "  4563,\n",
              "  4578,\n",
              "  4593,\n",
              "  4608,\n",
              "  4622,\n",
              "  4637},\n",
              " 609: {608,\n",
              "  610,\n",
              "  624,\n",
              "  4652,\n",
              "  4667,\n",
              "  4682,\n",
              "  4697,\n",
              "  4712,\n",
              "  4727,\n",
              "  4743,\n",
              "  4758,\n",
              "  4773,\n",
              "  4788,\n",
              "  4802,\n",
              "  4817},\n",
              " 610: {609,\n",
              "  611,\n",
              "  625,\n",
              "  4832,\n",
              "  4847,\n",
              "  4862,\n",
              "  4877,\n",
              "  4892,\n",
              "  4907,\n",
              "  4923,\n",
              "  4938,\n",
              "  4953,\n",
              "  4968,\n",
              "  4982,\n",
              "  4997},\n",
              " 611: {610,\n",
              "  612,\n",
              "  626,\n",
              "  5012,\n",
              "  5027,\n",
              "  5042,\n",
              "  5057,\n",
              "  5072,\n",
              "  5087,\n",
              "  5103,\n",
              "  5118,\n",
              "  5133,\n",
              "  5148,\n",
              "  5162,\n",
              "  5177},\n",
              " 612: {611,\n",
              "  613,\n",
              "  627,\n",
              "  5192,\n",
              "  5207,\n",
              "  5222,\n",
              "  5237,\n",
              "  5252,\n",
              "  5267,\n",
              "  5283,\n",
              "  5298,\n",
              "  5313,\n",
              "  5328,\n",
              "  5342,\n",
              "  5357},\n",
              " 613: {612,\n",
              "  614,\n",
              "  628,\n",
              "  5372,\n",
              "  5387,\n",
              "  5402,\n",
              "  5417,\n",
              "  5432,\n",
              "  5447,\n",
              "  5463,\n",
              "  5478,\n",
              "  5493,\n",
              "  5508,\n",
              "  5522,\n",
              "  5537},\n",
              " 614: {613,\n",
              "  629,\n",
              "  5552,\n",
              "  5567,\n",
              "  5582,\n",
              "  5597,\n",
              "  5612,\n",
              "  5627,\n",
              "  5643,\n",
              "  5658,\n",
              "  5673,\n",
              "  5688,\n",
              "  5702,\n",
              "  5717},\n",
              " 615: {600,\n",
              "  616,\n",
              "  3032,\n",
              "  3047,\n",
              "  3062,\n",
              "  3077,\n",
              "  3092,\n",
              "  3107,\n",
              "  3123,\n",
              "  3138,\n",
              "  3153,\n",
              "  3168,\n",
              "  3182,\n",
              "  3197},\n",
              " 616: {601,\n",
              "  615,\n",
              "  617,\n",
              "  3212,\n",
              "  3227,\n",
              "  3242,\n",
              "  3257,\n",
              "  3272,\n",
              "  3287,\n",
              "  3303,\n",
              "  3318,\n",
              "  3333,\n",
              "  3348,\n",
              "  3362,\n",
              "  3377},\n",
              " 617: {602,\n",
              "  616,\n",
              "  618,\n",
              "  3392,\n",
              "  3407,\n",
              "  3422,\n",
              "  3437,\n",
              "  3452,\n",
              "  3467,\n",
              "  3483,\n",
              "  3498,\n",
              "  3513,\n",
              "  3528,\n",
              "  3542,\n",
              "  3557},\n",
              " 618: {603,\n",
              "  617,\n",
              "  619,\n",
              "  3572,\n",
              "  3587,\n",
              "  3602,\n",
              "  3617,\n",
              "  3632,\n",
              "  3647,\n",
              "  3663,\n",
              "  3678,\n",
              "  3693,\n",
              "  3708,\n",
              "  3722,\n",
              "  3737},\n",
              " 619: {604,\n",
              "  618,\n",
              "  620,\n",
              "  3752,\n",
              "  3767,\n",
              "  3782,\n",
              "  3797,\n",
              "  3812,\n",
              "  3827,\n",
              "  3843,\n",
              "  3858,\n",
              "  3873,\n",
              "  3888,\n",
              "  3902,\n",
              "  3917},\n",
              " 620: {605,\n",
              "  619,\n",
              "  621,\n",
              "  3932,\n",
              "  3947,\n",
              "  3962,\n",
              "  3977,\n",
              "  3992,\n",
              "  4007,\n",
              "  4023,\n",
              "  4038,\n",
              "  4053,\n",
              "  4068,\n",
              "  4082,\n",
              "  4097},\n",
              " 621: {606,\n",
              "  620,\n",
              "  622,\n",
              "  4112,\n",
              "  4127,\n",
              "  4142,\n",
              "  4157,\n",
              "  4172,\n",
              "  4187,\n",
              "  4203,\n",
              "  4218,\n",
              "  4233,\n",
              "  4248,\n",
              "  4262,\n",
              "  4277},\n",
              " 622: {607,\n",
              "  621,\n",
              "  623,\n",
              "  4292,\n",
              "  4307,\n",
              "  4322,\n",
              "  4337,\n",
              "  4352,\n",
              "  4367,\n",
              "  4383,\n",
              "  4398,\n",
              "  4413,\n",
              "  4428,\n",
              "  4442,\n",
              "  4457},\n",
              " 623: {608,\n",
              "  622,\n",
              "  624,\n",
              "  4472,\n",
              "  4487,\n",
              "  4502,\n",
              "  4517,\n",
              "  4532,\n",
              "  4547,\n",
              "  4563,\n",
              "  4578,\n",
              "  4593,\n",
              "  4608,\n",
              "  4622,\n",
              "  4637},\n",
              " 624: {609,\n",
              "  623,\n",
              "  625,\n",
              "  4652,\n",
              "  4667,\n",
              "  4682,\n",
              "  4697,\n",
              "  4712,\n",
              "  4727,\n",
              "  4743,\n",
              "  4758,\n",
              "  4773,\n",
              "  4788,\n",
              "  4802,\n",
              "  4817},\n",
              " 625: {610,\n",
              "  624,\n",
              "  626,\n",
              "  4832,\n",
              "  4847,\n",
              "  4862,\n",
              "  4877,\n",
              "  4892,\n",
              "  4907,\n",
              "  4923,\n",
              "  4938,\n",
              "  4953,\n",
              "  4968,\n",
              "  4982,\n",
              "  4997},\n",
              " 626: {611,\n",
              "  625,\n",
              "  627,\n",
              "  5012,\n",
              "  5027,\n",
              "  5042,\n",
              "  5057,\n",
              "  5072,\n",
              "  5087,\n",
              "  5103,\n",
              "  5118,\n",
              "  5133,\n",
              "  5148,\n",
              "  5162,\n",
              "  5177},\n",
              " 627: {612,\n",
              "  626,\n",
              "  628,\n",
              "  5192,\n",
              "  5207,\n",
              "  5222,\n",
              "  5237,\n",
              "  5252,\n",
              "  5267,\n",
              "  5283,\n",
              "  5298,\n",
              "  5313,\n",
              "  5328,\n",
              "  5342,\n",
              "  5357},\n",
              " 628: {613,\n",
              "  627,\n",
              "  629,\n",
              "  5372,\n",
              "  5387,\n",
              "  5402,\n",
              "  5417,\n",
              "  5432,\n",
              "  5447,\n",
              "  5463,\n",
              "  5478,\n",
              "  5493,\n",
              "  5508,\n",
              "  5522,\n",
              "  5537},\n",
              " 629: {614,\n",
              "  628,\n",
              "  5552,\n",
              "  5567,\n",
              "  5582,\n",
              "  5597,\n",
              "  5612,\n",
              "  5627,\n",
              "  5643,\n",
              "  5658,\n",
              "  5673,\n",
              "  5688,\n",
              "  5702,\n",
              "  5717},\n",
              " 630: {631,\n",
              "  645,\n",
              "  3032,\n",
              "  3047,\n",
              "  3063,\n",
              "  3078,\n",
              "  3093,\n",
              "  3108,\n",
              "  3123,\n",
              "  3138,\n",
              "  3153,\n",
              "  3168,\n",
              "  3182,\n",
              "  3197},\n",
              " 631: {630,\n",
              "  632,\n",
              "  646,\n",
              "  3212,\n",
              "  3227,\n",
              "  3243,\n",
              "  3258,\n",
              "  3273,\n",
              "  3288,\n",
              "  3303,\n",
              "  3318,\n",
              "  3333,\n",
              "  3348,\n",
              "  3362,\n",
              "  3377},\n",
              " 632: {631,\n",
              "  633,\n",
              "  647,\n",
              "  3392,\n",
              "  3407,\n",
              "  3423,\n",
              "  3438,\n",
              "  3453,\n",
              "  3468,\n",
              "  3483,\n",
              "  3498,\n",
              "  3513,\n",
              "  3528,\n",
              "  3542,\n",
              "  3557},\n",
              " 633: {632,\n",
              "  634,\n",
              "  648,\n",
              "  3572,\n",
              "  3587,\n",
              "  3603,\n",
              "  3618,\n",
              "  3633,\n",
              "  3648,\n",
              "  3663,\n",
              "  3678,\n",
              "  3693,\n",
              "  3708,\n",
              "  3722,\n",
              "  3737},\n",
              " 634: {633,\n",
              "  635,\n",
              "  649,\n",
              "  3752,\n",
              "  3767,\n",
              "  3783,\n",
              "  3798,\n",
              "  3813,\n",
              "  3828,\n",
              "  3843,\n",
              "  3858,\n",
              "  3873,\n",
              "  3888,\n",
              "  3902,\n",
              "  3917},\n",
              " 635: {634,\n",
              "  636,\n",
              "  650,\n",
              "  3932,\n",
              "  3947,\n",
              "  3963,\n",
              "  3978,\n",
              "  3993,\n",
              "  4008,\n",
              "  4023,\n",
              "  4038,\n",
              "  4053,\n",
              "  4068,\n",
              "  4082,\n",
              "  4097},\n",
              " 636: {635,\n",
              "  637,\n",
              "  651,\n",
              "  4112,\n",
              "  4127,\n",
              "  4143,\n",
              "  4158,\n",
              "  4173,\n",
              "  4188,\n",
              "  4203,\n",
              "  4218,\n",
              "  4233,\n",
              "  4248,\n",
              "  4262,\n",
              "  4277},\n",
              " 637: {636,\n",
              "  638,\n",
              "  652,\n",
              "  4292,\n",
              "  4307,\n",
              "  4323,\n",
              "  4338,\n",
              "  4353,\n",
              "  4368,\n",
              "  4383,\n",
              "  4398,\n",
              "  4413,\n",
              "  4428,\n",
              "  4442,\n",
              "  4457},\n",
              " 638: {637,\n",
              "  639,\n",
              "  653,\n",
              "  4472,\n",
              "  4487,\n",
              "  4503,\n",
              "  4518,\n",
              "  4533,\n",
              "  4548,\n",
              "  4563,\n",
              "  4578,\n",
              "  4593,\n",
              "  4608,\n",
              "  4622,\n",
              "  4637},\n",
              " 639: {638,\n",
              "  640,\n",
              "  654,\n",
              "  4652,\n",
              "  4667,\n",
              "  4683,\n",
              "  4698,\n",
              "  4713,\n",
              "  4728,\n",
              "  4743,\n",
              "  4758,\n",
              "  4773,\n",
              "  4788,\n",
              "  4802,\n",
              "  4817},\n",
              " 640: {639,\n",
              "  641,\n",
              "  655,\n",
              "  4832,\n",
              "  4847,\n",
              "  4863,\n",
              "  4878,\n",
              "  4893,\n",
              "  4908,\n",
              "  4923,\n",
              "  4938,\n",
              "  4953,\n",
              "  4968,\n",
              "  4982,\n",
              "  4997},\n",
              " 641: {640,\n",
              "  642,\n",
              "  656,\n",
              "  5012,\n",
              "  5027,\n",
              "  5043,\n",
              "  5058,\n",
              "  5073,\n",
              "  5088,\n",
              "  5103,\n",
              "  5118,\n",
              "  5133,\n",
              "  5148,\n",
              "  5162,\n",
              "  5177},\n",
              " 642: {641,\n",
              "  643,\n",
              "  657,\n",
              "  5192,\n",
              "  5207,\n",
              "  5223,\n",
              "  5238,\n",
              "  5253,\n",
              "  5268,\n",
              "  5283,\n",
              "  5298,\n",
              "  5313,\n",
              "  5328,\n",
              "  5342,\n",
              "  5357},\n",
              " 643: {642,\n",
              "  644,\n",
              "  658,\n",
              "  5372,\n",
              "  5387,\n",
              "  5403,\n",
              "  5418,\n",
              "  5433,\n",
              "  5448,\n",
              "  5463,\n",
              "  5478,\n",
              "  5493,\n",
              "  5508,\n",
              "  5522,\n",
              "  5537},\n",
              " 644: {643,\n",
              "  659,\n",
              "  5552,\n",
              "  5567,\n",
              "  5583,\n",
              "  5598,\n",
              "  5613,\n",
              "  5628,\n",
              "  5643,\n",
              "  5658,\n",
              "  5673,\n",
              "  5688,\n",
              "  5702,\n",
              "  5717},\n",
              " 645: {630,\n",
              "  646,\n",
              "  3032,\n",
              "  3047,\n",
              "  3063,\n",
              "  3078,\n",
              "  3093,\n",
              "  3108,\n",
              "  3123,\n",
              "  3138,\n",
              "  3153,\n",
              "  3168,\n",
              "  3182,\n",
              "  3197},\n",
              " 646: {631,\n",
              "  645,\n",
              "  647,\n",
              "  3212,\n",
              "  3227,\n",
              "  3243,\n",
              "  3258,\n",
              "  3273,\n",
              "  3288,\n",
              "  3303,\n",
              "  3318,\n",
              "  3333,\n",
              "  3348,\n",
              "  3362,\n",
              "  3377},\n",
              " 647: {632,\n",
              "  646,\n",
              "  648,\n",
              "  3392,\n",
              "  3407,\n",
              "  3423,\n",
              "  3438,\n",
              "  3453,\n",
              "  3468,\n",
              "  3483,\n",
              "  3498,\n",
              "  3513,\n",
              "  3528,\n",
              "  3542,\n",
              "  3557},\n",
              " 648: {633,\n",
              "  647,\n",
              "  649,\n",
              "  3572,\n",
              "  3587,\n",
              "  3603,\n",
              "  3618,\n",
              "  3633,\n",
              "  3648,\n",
              "  3663,\n",
              "  3678,\n",
              "  3693,\n",
              "  3708,\n",
              "  3722,\n",
              "  3737},\n",
              " 649: {634,\n",
              "  648,\n",
              "  650,\n",
              "  3752,\n",
              "  3767,\n",
              "  3783,\n",
              "  3798,\n",
              "  3813,\n",
              "  3828,\n",
              "  3843,\n",
              "  3858,\n",
              "  3873,\n",
              "  3888,\n",
              "  3902,\n",
              "  3917},\n",
              " 650: {635,\n",
              "  649,\n",
              "  651,\n",
              "  3932,\n",
              "  3947,\n",
              "  3963,\n",
              "  3978,\n",
              "  3993,\n",
              "  4008,\n",
              "  4023,\n",
              "  4038,\n",
              "  4053,\n",
              "  4068,\n",
              "  4082,\n",
              "  4097},\n",
              " 651: {636,\n",
              "  650,\n",
              "  652,\n",
              "  4112,\n",
              "  4127,\n",
              "  4143,\n",
              "  4158,\n",
              "  4173,\n",
              "  4188,\n",
              "  4203,\n",
              "  4218,\n",
              "  4233,\n",
              "  4248,\n",
              "  4262,\n",
              "  4277},\n",
              " 652: {637,\n",
              "  651,\n",
              "  653,\n",
              "  4292,\n",
              "  4307,\n",
              "  4323,\n",
              "  4338,\n",
              "  4353,\n",
              "  4368,\n",
              "  4383,\n",
              "  4398,\n",
              "  4413,\n",
              "  4428,\n",
              "  4442,\n",
              "  4457},\n",
              " 653: {638,\n",
              "  652,\n",
              "  654,\n",
              "  4472,\n",
              "  4487,\n",
              "  4503,\n",
              "  4518,\n",
              "  4533,\n",
              "  4548,\n",
              "  4563,\n",
              "  4578,\n",
              "  4593,\n",
              "  4608,\n",
              "  4622,\n",
              "  4637},\n",
              " 654: {639,\n",
              "  653,\n",
              "  655,\n",
              "  4652,\n",
              "  4667,\n",
              "  4683,\n",
              "  4698,\n",
              "  4713,\n",
              "  4728,\n",
              "  4743,\n",
              "  4758,\n",
              "  4773,\n",
              "  4788,\n",
              "  4802,\n",
              "  4817},\n",
              " 655: {640,\n",
              "  654,\n",
              "  656,\n",
              "  4832,\n",
              "  4847,\n",
              "  4863,\n",
              "  4878,\n",
              "  4893,\n",
              "  4908,\n",
              "  4923,\n",
              "  4938,\n",
              "  4953,\n",
              "  4968,\n",
              "  4982,\n",
              "  4997},\n",
              " 656: {641,\n",
              "  655,\n",
              "  657,\n",
              "  5012,\n",
              "  5027,\n",
              "  5043,\n",
              "  5058,\n",
              "  5073,\n",
              "  5088,\n",
              "  5103,\n",
              "  5118,\n",
              "  5133,\n",
              "  5148,\n",
              "  5162,\n",
              "  5177},\n",
              " 657: {642,\n",
              "  656,\n",
              "  658,\n",
              "  5192,\n",
              "  5207,\n",
              "  5223,\n",
              "  5238,\n",
              "  5253,\n",
              "  5268,\n",
              "  5283,\n",
              "  5298,\n",
              "  5313,\n",
              "  5328,\n",
              "  5342,\n",
              "  5357},\n",
              " 658: {643,\n",
              "  657,\n",
              "  659,\n",
              "  5372,\n",
              "  5387,\n",
              "  5403,\n",
              "  5418,\n",
              "  5433,\n",
              "  5448,\n",
              "  5463,\n",
              "  5478,\n",
              "  5493,\n",
              "  5508,\n",
              "  5522,\n",
              "  5537},\n",
              " 659: {644,\n",
              "  658,\n",
              "  5552,\n",
              "  5567,\n",
              "  5583,\n",
              "  5598,\n",
              "  5613,\n",
              "  5628,\n",
              "  5643,\n",
              "  5658,\n",
              "  5673,\n",
              "  5688,\n",
              "  5702,\n",
              "  5717},\n",
              " 660: {661,\n",
              "  675,\n",
              "  2973,\n",
              "  2988,\n",
              "  3002,\n",
              "  3017,\n",
              "  3032,\n",
              "  3047,\n",
              "  3063,\n",
              "  3078,\n",
              "  3093,\n",
              "  3108,\n",
              "  3123,\n",
              "  3138},\n",
              " 661: {660,\n",
              "  662,\n",
              "  676,\n",
              "  3153,\n",
              "  3168,\n",
              "  3182,\n",
              "  3197,\n",
              "  3212,\n",
              "  3227,\n",
              "  3243,\n",
              "  3258,\n",
              "  3273,\n",
              "  3288,\n",
              "  3303,\n",
              "  3318},\n",
              " 662: {661,\n",
              "  663,\n",
              "  677,\n",
              "  3333,\n",
              "  3348,\n",
              "  3362,\n",
              "  3377,\n",
              "  3392,\n",
              "  3407,\n",
              "  3423,\n",
              "  3438,\n",
              "  3453,\n",
              "  3468,\n",
              "  3483,\n",
              "  3498},\n",
              " 663: {662,\n",
              "  664,\n",
              "  678,\n",
              "  3513,\n",
              "  3528,\n",
              "  3542,\n",
              "  3557,\n",
              "  3572,\n",
              "  3587,\n",
              "  3603,\n",
              "  3618,\n",
              "  3633,\n",
              "  3648,\n",
              "  3663,\n",
              "  3678},\n",
              " 664: {663,\n",
              "  665,\n",
              "  679,\n",
              "  3693,\n",
              "  3708,\n",
              "  3722,\n",
              "  3737,\n",
              "  3752,\n",
              "  3767,\n",
              "  3783,\n",
              "  3798,\n",
              "  3813,\n",
              "  3828,\n",
              "  3843,\n",
              "  3858},\n",
              " 665: {664,\n",
              "  666,\n",
              "  680,\n",
              "  3873,\n",
              "  3888,\n",
              "  3902,\n",
              "  3917,\n",
              "  3932,\n",
              "  3947,\n",
              "  3963,\n",
              "  3978,\n",
              "  3993,\n",
              "  4008,\n",
              "  4023,\n",
              "  4038},\n",
              " 666: {665,\n",
              "  667,\n",
              "  681,\n",
              "  4053,\n",
              "  4068,\n",
              "  4082,\n",
              "  4097,\n",
              "  4112,\n",
              "  4127,\n",
              "  4143,\n",
              "  4158,\n",
              "  4173,\n",
              "  4188,\n",
              "  4203,\n",
              "  4218},\n",
              " 667: {666,\n",
              "  668,\n",
              "  682,\n",
              "  4233,\n",
              "  4248,\n",
              "  4262,\n",
              "  4277,\n",
              "  4292,\n",
              "  4307,\n",
              "  4323,\n",
              "  4338,\n",
              "  4353,\n",
              "  4368,\n",
              "  4383,\n",
              "  4398},\n",
              " 668: {667,\n",
              "  669,\n",
              "  683,\n",
              "  4413,\n",
              "  4428,\n",
              "  4442,\n",
              "  4457,\n",
              "  4472,\n",
              "  4487,\n",
              "  4503,\n",
              "  4518,\n",
              "  4533,\n",
              "  4548,\n",
              "  4563,\n",
              "  4578},\n",
              " 669: {668,\n",
              "  670,\n",
              "  684,\n",
              "  4593,\n",
              "  4608,\n",
              "  4622,\n",
              "  4637,\n",
              "  4652,\n",
              "  4667,\n",
              "  4683,\n",
              "  4698,\n",
              "  4713,\n",
              "  4728,\n",
              "  4743,\n",
              "  4758},\n",
              " 670: {669,\n",
              "  671,\n",
              "  685,\n",
              "  4773,\n",
              "  4788,\n",
              "  4802,\n",
              "  4817,\n",
              "  4832,\n",
              "  4847,\n",
              "  4863,\n",
              "  4878,\n",
              "  4893,\n",
              "  4908,\n",
              "  4923,\n",
              "  4938},\n",
              " 671: {670,\n",
              "  672,\n",
              "  686,\n",
              "  4953,\n",
              "  4968,\n",
              "  4982,\n",
              "  4997,\n",
              "  5012,\n",
              "  5027,\n",
              "  5043,\n",
              "  5058,\n",
              "  5073,\n",
              "  5088,\n",
              "  5103,\n",
              "  5118},\n",
              " 672: {671,\n",
              "  673,\n",
              "  687,\n",
              "  5133,\n",
              "  5148,\n",
              "  5162,\n",
              "  5177,\n",
              "  5192,\n",
              "  5207,\n",
              "  5223,\n",
              "  5238,\n",
              "  5253,\n",
              "  5268,\n",
              "  5283,\n",
              "  5298},\n",
              " 673: {672,\n",
              "  674,\n",
              "  688,\n",
              "  5313,\n",
              "  5328,\n",
              "  5342,\n",
              "  5357,\n",
              "  5372,\n",
              "  5387,\n",
              "  5403,\n",
              "  5418,\n",
              "  5433,\n",
              "  5448,\n",
              "  5463,\n",
              "  5478},\n",
              " 674: {673,\n",
              "  689,\n",
              "  5493,\n",
              "  5508,\n",
              "  5522,\n",
              "  5537,\n",
              "  5552,\n",
              "  5567,\n",
              "  5583,\n",
              "  5598,\n",
              "  5613,\n",
              "  5628,\n",
              "  5643,\n",
              "  5658},\n",
              " 675: {660,\n",
              "  676,\n",
              "  2973,\n",
              "  2988,\n",
              "  3002,\n",
              "  3017,\n",
              "  3032,\n",
              "  3047,\n",
              "  3063,\n",
              "  3078,\n",
              "  3093,\n",
              "  3108,\n",
              "  3123,\n",
              "  3138},\n",
              " 676: {661,\n",
              "  675,\n",
              "  677,\n",
              "  3153,\n",
              "  3168,\n",
              "  3182,\n",
              "  3197,\n",
              "  3212,\n",
              "  3227,\n",
              "  3243,\n",
              "  3258,\n",
              "  3273,\n",
              "  3288,\n",
              "  3303,\n",
              "  3318},\n",
              " 677: {662,\n",
              "  676,\n",
              "  678,\n",
              "  3333,\n",
              "  3348,\n",
              "  3362,\n",
              "  3377,\n",
              "  3392,\n",
              "  3407,\n",
              "  3423,\n",
              "  3438,\n",
              "  3453,\n",
              "  3468,\n",
              "  3483,\n",
              "  3498},\n",
              " 678: {663,\n",
              "  677,\n",
              "  679,\n",
              "  3513,\n",
              "  3528,\n",
              "  3542,\n",
              "  3557,\n",
              "  3572,\n",
              "  3587,\n",
              "  3603,\n",
              "  3618,\n",
              "  3633,\n",
              "  3648,\n",
              "  3663,\n",
              "  3678},\n",
              " 679: {664,\n",
              "  678,\n",
              "  680,\n",
              "  3693,\n",
              "  3708,\n",
              "  3722,\n",
              "  3737,\n",
              "  3752,\n",
              "  3767,\n",
              "  3783,\n",
              "  3798,\n",
              "  3813,\n",
              "  3828,\n",
              "  3843,\n",
              "  3858},\n",
              " 680: {665,\n",
              "  679,\n",
              "  681,\n",
              "  3873,\n",
              "  3888,\n",
              "  3902,\n",
              "  3917,\n",
              "  3932,\n",
              "  3947,\n",
              "  3963,\n",
              "  3978,\n",
              "  3993,\n",
              "  4008,\n",
              "  4023,\n",
              "  4038},\n",
              " 681: {666,\n",
              "  680,\n",
              "  682,\n",
              "  4053,\n",
              "  4068,\n",
              "  4082,\n",
              "  4097,\n",
              "  4112,\n",
              "  4127,\n",
              "  4143,\n",
              "  4158,\n",
              "  4173,\n",
              "  4188,\n",
              "  4203,\n",
              "  4218},\n",
              " 682: {667,\n",
              "  681,\n",
              "  683,\n",
              "  4233,\n",
              "  4248,\n",
              "  4262,\n",
              "  4277,\n",
              "  4292,\n",
              "  4307,\n",
              "  4323,\n",
              "  4338,\n",
              "  4353,\n",
              "  4368,\n",
              "  4383,\n",
              "  4398},\n",
              " 683: {668,\n",
              "  682,\n",
              "  684,\n",
              "  4413,\n",
              "  4428,\n",
              "  4442,\n",
              "  4457,\n",
              "  4472,\n",
              "  4487,\n",
              "  4503,\n",
              "  4518,\n",
              "  4533,\n",
              "  4548,\n",
              "  4563,\n",
              "  4578},\n",
              " 684: {669,\n",
              "  683,\n",
              "  685,\n",
              "  4593,\n",
              "  4608,\n",
              "  4622,\n",
              "  4637,\n",
              "  4652,\n",
              "  4667,\n",
              "  4683,\n",
              "  4698,\n",
              "  4713,\n",
              "  4728,\n",
              "  4743,\n",
              "  4758},\n",
              " 685: {670,\n",
              "  684,\n",
              "  686,\n",
              "  4773,\n",
              "  4788,\n",
              "  4802,\n",
              "  4817,\n",
              "  4832,\n",
              "  4847,\n",
              "  4863,\n",
              "  4878,\n",
              "  4893,\n",
              "  4908,\n",
              "  4923,\n",
              "  4938},\n",
              " 686: {671,\n",
              "  685,\n",
              "  687,\n",
              "  4953,\n",
              "  4968,\n",
              "  4982,\n",
              "  4997,\n",
              "  5012,\n",
              "  5027,\n",
              "  5043,\n",
              "  5058,\n",
              "  5073,\n",
              "  5088,\n",
              "  5103,\n",
              "  5118},\n",
              " 687: {672,\n",
              "  686,\n",
              "  688,\n",
              "  5133,\n",
              "  5148,\n",
              "  5162,\n",
              "  5177,\n",
              "  5192,\n",
              "  5207,\n",
              "  5223,\n",
              "  5238,\n",
              "  5253,\n",
              "  5268,\n",
              "  5283,\n",
              "  5298},\n",
              " 688: {673,\n",
              "  687,\n",
              "  689,\n",
              "  5313,\n",
              "  5328,\n",
              "  5342,\n",
              "  5357,\n",
              "  5372,\n",
              "  5387,\n",
              "  5403,\n",
              "  5418,\n",
              "  5433,\n",
              "  5448,\n",
              "  5463,\n",
              "  5478},\n",
              " 689: {674,\n",
              "  688,\n",
              "  5493,\n",
              "  5508,\n",
              "  5522,\n",
              "  5537,\n",
              "  5552,\n",
              "  5567,\n",
              "  5583,\n",
              "  5598,\n",
              "  5613,\n",
              "  5628,\n",
              "  5643,\n",
              "  5658},\n",
              " 690: {691,\n",
              "  705,\n",
              "  2973,\n",
              "  2988,\n",
              "  3003,\n",
              "  3018,\n",
              "  3033,\n",
              "  3048,\n",
              "  3063,\n",
              "  3078,\n",
              "  3093,\n",
              "  3108,\n",
              "  3123,\n",
              "  3138},\n",
              " 691: {690,\n",
              "  692,\n",
              "  706,\n",
              "  3153,\n",
              "  3168,\n",
              "  3183,\n",
              "  3198,\n",
              "  3213,\n",
              "  3228,\n",
              "  3243,\n",
              "  3258,\n",
              "  3273,\n",
              "  3288,\n",
              "  3303,\n",
              "  3318},\n",
              " 692: {691,\n",
              "  693,\n",
              "  707,\n",
              "  3333,\n",
              "  3348,\n",
              "  3363,\n",
              "  3378,\n",
              "  3393,\n",
              "  3408,\n",
              "  3423,\n",
              "  3438,\n",
              "  3453,\n",
              "  3468,\n",
              "  3483,\n",
              "  3498},\n",
              " 693: {692,\n",
              "  694,\n",
              "  708,\n",
              "  3513,\n",
              "  3528,\n",
              "  3543,\n",
              "  3558,\n",
              "  3573,\n",
              "  3588,\n",
              "  3603,\n",
              "  3618,\n",
              "  3633,\n",
              "  3648,\n",
              "  3663,\n",
              "  3678},\n",
              " 694: {693,\n",
              "  695,\n",
              "  709,\n",
              "  3693,\n",
              "  3708,\n",
              "  3723,\n",
              "  3738,\n",
              "  3753,\n",
              "  3768,\n",
              "  3783,\n",
              "  3798,\n",
              "  3813,\n",
              "  3828,\n",
              "  3843,\n",
              "  3858},\n",
              " 695: {694,\n",
              "  696,\n",
              "  710,\n",
              "  3873,\n",
              "  3888,\n",
              "  3903,\n",
              "  3918,\n",
              "  3933,\n",
              "  3948,\n",
              "  3963,\n",
              "  3978,\n",
              "  3993,\n",
              "  4008,\n",
              "  4023,\n",
              "  4038},\n",
              " 696: {695,\n",
              "  697,\n",
              "  711,\n",
              "  4053,\n",
              "  4068,\n",
              "  4083,\n",
              "  4098,\n",
              "  4113,\n",
              "  4128,\n",
              "  4143,\n",
              "  4158,\n",
              "  4173,\n",
              "  4188,\n",
              "  4203,\n",
              "  4218},\n",
              " 697: {696,\n",
              "  698,\n",
              "  712,\n",
              "  4233,\n",
              "  4248,\n",
              "  4263,\n",
              "  4278,\n",
              "  4293,\n",
              "  4308,\n",
              "  4323,\n",
              "  4338,\n",
              "  4353,\n",
              "  4368,\n",
              "  4383,\n",
              "  4398},\n",
              " 698: {697,\n",
              "  699,\n",
              "  713,\n",
              "  4413,\n",
              "  4428,\n",
              "  4443,\n",
              "  4458,\n",
              "  4473,\n",
              "  4488,\n",
              "  4503,\n",
              "  4518,\n",
              "  4533,\n",
              "  4548,\n",
              "  4563,\n",
              "  4578},\n",
              " 699: {698,\n",
              "  700,\n",
              "  714,\n",
              "  4593,\n",
              "  4608,\n",
              "  4623,\n",
              "  4638,\n",
              "  4653,\n",
              "  4668,\n",
              "  4683,\n",
              "  4698,\n",
              "  4713,\n",
              "  4728,\n",
              "  4743,\n",
              "  4758},\n",
              " 700: {699,\n",
              "  701,\n",
              "  715,\n",
              "  4773,\n",
              "  4788,\n",
              "  4803,\n",
              "  4818,\n",
              "  4833,\n",
              "  4848,\n",
              "  4863,\n",
              "  4878,\n",
              "  4893,\n",
              "  4908,\n",
              "  4923,\n",
              "  4938},\n",
              " 701: {700,\n",
              "  702,\n",
              "  716,\n",
              "  4953,\n",
              "  4968,\n",
              "  4983,\n",
              "  4998,\n",
              "  5013,\n",
              "  5028,\n",
              "  5043,\n",
              "  5058,\n",
              "  5073,\n",
              "  5088,\n",
              "  5103,\n",
              "  5118},\n",
              " 702: {701,\n",
              "  703,\n",
              "  717,\n",
              "  5133,\n",
              "  5148,\n",
              "  5163,\n",
              "  5178,\n",
              "  5193,\n",
              "  5208,\n",
              "  5223,\n",
              "  5238,\n",
              "  5253,\n",
              "  5268,\n",
              "  5283,\n",
              "  5298},\n",
              " 703: {702,\n",
              "  704,\n",
              "  718,\n",
              "  5313,\n",
              "  5328,\n",
              "  5343,\n",
              "  5358,\n",
              "  5373,\n",
              "  5388,\n",
              "  5403,\n",
              "  5418,\n",
              "  5433,\n",
              "  5448,\n",
              "  5463,\n",
              "  5478},\n",
              " 704: {703,\n",
              "  719,\n",
              "  5493,\n",
              "  5508,\n",
              "  5523,\n",
              "  5538,\n",
              "  5553,\n",
              "  5568,\n",
              "  5583,\n",
              "  5598,\n",
              "  5613,\n",
              "  5628,\n",
              "  5643,\n",
              "  5658},\n",
              " 705: {690,\n",
              "  706,\n",
              "  2973,\n",
              "  2988,\n",
              "  3003,\n",
              "  3018,\n",
              "  3033,\n",
              "  3048,\n",
              "  3063,\n",
              "  3078,\n",
              "  3093,\n",
              "  3108,\n",
              "  3123,\n",
              "  3138},\n",
              " 706: {691,\n",
              "  705,\n",
              "  707,\n",
              "  3153,\n",
              "  3168,\n",
              "  3183,\n",
              "  3198,\n",
              "  3213,\n",
              "  3228,\n",
              "  3243,\n",
              "  3258,\n",
              "  3273,\n",
              "  3288,\n",
              "  3303,\n",
              "  3318},\n",
              " 707: {692,\n",
              "  706,\n",
              "  708,\n",
              "  3333,\n",
              "  3348,\n",
              "  3363,\n",
              "  3378,\n",
              "  3393,\n",
              "  3408,\n",
              "  3423,\n",
              "  3438,\n",
              "  3453,\n",
              "  3468,\n",
              "  3483,\n",
              "  3498},\n",
              " 708: {693,\n",
              "  707,\n",
              "  709,\n",
              "  3513,\n",
              "  3528,\n",
              "  3543,\n",
              "  3558,\n",
              "  3573,\n",
              "  3588,\n",
              "  3603,\n",
              "  3618,\n",
              "  3633,\n",
              "  3648,\n",
              "  3663,\n",
              "  3678},\n",
              " 709: {694,\n",
              "  708,\n",
              "  710,\n",
              "  3693,\n",
              "  3708,\n",
              "  3723,\n",
              "  3738,\n",
              "  3753,\n",
              "  3768,\n",
              "  3783,\n",
              "  3798,\n",
              "  3813,\n",
              "  3828,\n",
              "  3843,\n",
              "  3858},\n",
              " 710: {695,\n",
              "  709,\n",
              "  711,\n",
              "  3873,\n",
              "  3888,\n",
              "  3903,\n",
              "  3918,\n",
              "  3933,\n",
              "  3948,\n",
              "  3963,\n",
              "  3978,\n",
              "  3993,\n",
              "  4008,\n",
              "  4023,\n",
              "  4038},\n",
              " 711: {696,\n",
              "  710,\n",
              "  712,\n",
              "  4053,\n",
              "  4068,\n",
              "  4083,\n",
              "  4098,\n",
              "  4113,\n",
              "  4128,\n",
              "  4143,\n",
              "  4158,\n",
              "  4173,\n",
              "  4188,\n",
              "  4203,\n",
              "  4218},\n",
              " 712: {697,\n",
              "  711,\n",
              "  713,\n",
              "  4233,\n",
              "  4248,\n",
              "  4263,\n",
              "  4278,\n",
              "  4293,\n",
              "  4308,\n",
              "  4323,\n",
              "  4338,\n",
              "  4353,\n",
              "  4368,\n",
              "  4383,\n",
              "  4398},\n",
              " 713: {698,\n",
              "  712,\n",
              "  714,\n",
              "  4413,\n",
              "  4428,\n",
              "  4443,\n",
              "  4458,\n",
              "  4473,\n",
              "  4488,\n",
              "  4503,\n",
              "  4518,\n",
              "  4533,\n",
              "  4548,\n",
              "  4563,\n",
              "  4578},\n",
              " 714: {699,\n",
              "  713,\n",
              "  715,\n",
              "  4593,\n",
              "  4608,\n",
              "  4623,\n",
              "  4638,\n",
              "  4653,\n",
              "  4668,\n",
              "  4683,\n",
              "  4698,\n",
              "  4713,\n",
              "  4728,\n",
              "  4743,\n",
              "  4758},\n",
              " 715: {700,\n",
              "  714,\n",
              "  716,\n",
              "  4773,\n",
              "  4788,\n",
              "  4803,\n",
              "  4818,\n",
              "  4833,\n",
              "  4848,\n",
              "  4863,\n",
              "  4878,\n",
              "  4893,\n",
              "  4908,\n",
              "  4923,\n",
              "  4938},\n",
              " 716: {701,\n",
              "  715,\n",
              "  717,\n",
              "  4953,\n",
              "  4968,\n",
              "  4983,\n",
              "  4998,\n",
              "  5013,\n",
              "  5028,\n",
              "  5043,\n",
              "  5058,\n",
              "  5073,\n",
              "  5088,\n",
              "  5103,\n",
              "  5118},\n",
              " 717: {702,\n",
              "  716,\n",
              "  718,\n",
              "  5133,\n",
              "  5148,\n",
              "  5163,\n",
              "  5178,\n",
              "  5193,\n",
              "  5208,\n",
              "  5223,\n",
              "  5238,\n",
              "  5253,\n",
              "  5268,\n",
              "  5283,\n",
              "  5298},\n",
              " 718: {703,\n",
              "  717,\n",
              "  719,\n",
              "  5313,\n",
              "  5328,\n",
              "  5343,\n",
              "  5358,\n",
              "  5373,\n",
              "  5388,\n",
              "  5403,\n",
              "  5418,\n",
              "  5433,\n",
              "  5448,\n",
              "  5463,\n",
              "  5478},\n",
              " 719: {704,\n",
              "  718,\n",
              "  5493,\n",
              "  5508,\n",
              "  5523,\n",
              "  5538,\n",
              "  5553,\n",
              "  5568,\n",
              "  5583,\n",
              "  5598,\n",
              "  5613,\n",
              "  5628,\n",
              "  5643,\n",
              "  5658},\n",
              " 720: {721,\n",
              "  735,\n",
              "  2913,\n",
              "  2928,\n",
              "  2943,\n",
              "  2958,\n",
              "  2973,\n",
              "  2988,\n",
              "  3003,\n",
              "  3018,\n",
              "  3033,\n",
              "  3048,\n",
              "  3063,\n",
              "  3078},\n",
              " 721: {720,\n",
              "  722,\n",
              "  736,\n",
              "  3093,\n",
              "  3108,\n",
              "  3123,\n",
              "  3138,\n",
              "  3153,\n",
              "  3168,\n",
              "  3183,\n",
              "  3198,\n",
              "  3213,\n",
              "  3228,\n",
              "  3243,\n",
              "  3258},\n",
              " 722: {721,\n",
              "  723,\n",
              "  737,\n",
              "  3273,\n",
              "  3288,\n",
              "  3303,\n",
              "  3318,\n",
              "  3333,\n",
              "  3348,\n",
              "  3363,\n",
              "  3378,\n",
              "  3393,\n",
              "  3408,\n",
              "  3423,\n",
              "  3438},\n",
              " 723: {722,\n",
              "  724,\n",
              "  738,\n",
              "  3453,\n",
              "  3468,\n",
              "  3483,\n",
              "  3498,\n",
              "  3513,\n",
              "  3528,\n",
              "  3543,\n",
              "  3558,\n",
              "  3573,\n",
              "  3588,\n",
              "  3603,\n",
              "  3618},\n",
              " 724: {723,\n",
              "  725,\n",
              "  739,\n",
              "  3633,\n",
              "  3648,\n",
              "  3663,\n",
              "  3678,\n",
              "  3693,\n",
              "  3708,\n",
              "  3723,\n",
              "  3738,\n",
              "  3753,\n",
              "  3768,\n",
              "  3783,\n",
              "  3798},\n",
              " 725: {724,\n",
              "  726,\n",
              "  740,\n",
              "  3813,\n",
              "  3828,\n",
              "  3843,\n",
              "  3858,\n",
              "  3873,\n",
              "  3888,\n",
              "  3903,\n",
              "  3918,\n",
              "  3933,\n",
              "  3948,\n",
              "  3963,\n",
              "  3978},\n",
              " 726: {725,\n",
              "  727,\n",
              "  741,\n",
              "  3993,\n",
              "  4008,\n",
              "  4023,\n",
              "  4038,\n",
              "  4053,\n",
              "  4068,\n",
              "  4083,\n",
              "  4098,\n",
              "  4113,\n",
              "  4128,\n",
              "  4143,\n",
              "  4158},\n",
              " 727: {726,\n",
              "  728,\n",
              "  742,\n",
              "  4173,\n",
              "  4188,\n",
              "  4203,\n",
              "  4218,\n",
              "  4233,\n",
              "  4248,\n",
              "  4263,\n",
              "  4278,\n",
              "  4293,\n",
              "  4308,\n",
              "  4323,\n",
              "  4338},\n",
              " 728: {727,\n",
              "  729,\n",
              "  743,\n",
              "  4353,\n",
              "  4368,\n",
              "  4383,\n",
              "  4398,\n",
              "  4413,\n",
              "  4428,\n",
              "  4443,\n",
              "  4458,\n",
              "  4473,\n",
              "  4488,\n",
              "  4503,\n",
              "  4518},\n",
              " 729: {728,\n",
              "  730,\n",
              "  744,\n",
              "  4533,\n",
              "  4548,\n",
              "  4563,\n",
              "  4578,\n",
              "  4593,\n",
              "  4608,\n",
              "  4623,\n",
              "  4638,\n",
              "  4653,\n",
              "  4668,\n",
              "  4683,\n",
              "  4698},\n",
              " 730: {729,\n",
              "  731,\n",
              "  745,\n",
              "  4713,\n",
              "  4728,\n",
              "  4743,\n",
              "  4758,\n",
              "  4773,\n",
              "  4788,\n",
              "  4803,\n",
              "  4818,\n",
              "  4833,\n",
              "  4848,\n",
              "  4863,\n",
              "  4878},\n",
              " 731: {730,\n",
              "  732,\n",
              "  746,\n",
              "  4893,\n",
              "  4908,\n",
              "  4923,\n",
              "  4938,\n",
              "  4953,\n",
              "  4968,\n",
              "  4983,\n",
              "  4998,\n",
              "  5013,\n",
              "  5028,\n",
              "  5043,\n",
              "  5058},\n",
              " 732: {731,\n",
              "  733,\n",
              "  747,\n",
              "  5073,\n",
              "  5088,\n",
              "  5103,\n",
              "  5118,\n",
              "  5133,\n",
              "  5148,\n",
              "  5163,\n",
              "  5178,\n",
              "  5193,\n",
              "  5208,\n",
              "  5223,\n",
              "  5238},\n",
              " 733: {732,\n",
              "  734,\n",
              "  748,\n",
              "  5253,\n",
              "  5268,\n",
              "  5283,\n",
              "  5298,\n",
              "  5313,\n",
              "  5328,\n",
              "  5343,\n",
              "  5358,\n",
              "  5373,\n",
              "  5388,\n",
              "  5403,\n",
              "  5418},\n",
              " 734: {733,\n",
              "  749,\n",
              "  5433,\n",
              "  5448,\n",
              "  5463,\n",
              "  5478,\n",
              "  5493,\n",
              "  5508,\n",
              "  5523,\n",
              "  5538,\n",
              "  5553,\n",
              "  5568,\n",
              "  5583,\n",
              "  5598},\n",
              " 735: {720,\n",
              "  736,\n",
              "  2913,\n",
              "  2928,\n",
              "  2943,\n",
              "  2958,\n",
              "  2973,\n",
              "  2988,\n",
              "  3003,\n",
              "  3018,\n",
              "  3033,\n",
              "  3048,\n",
              "  3063,\n",
              "  3078},\n",
              " 736: {721,\n",
              "  735,\n",
              "  737,\n",
              "  3093,\n",
              "  3108,\n",
              "  3123,\n",
              "  3138,\n",
              "  3153,\n",
              "  3168,\n",
              "  3183,\n",
              "  3198,\n",
              "  3213,\n",
              "  3228,\n",
              "  3243,\n",
              "  3258},\n",
              " 737: {722,\n",
              "  736,\n",
              "  738,\n",
              "  3273,\n",
              "  3288,\n",
              "  3303,\n",
              "  3318,\n",
              "  3333,\n",
              "  3348,\n",
              "  3363,\n",
              "  3378,\n",
              "  3393,\n",
              "  3408,\n",
              "  3423,\n",
              "  3438},\n",
              " 738: {723,\n",
              "  737,\n",
              "  739,\n",
              "  3453,\n",
              "  3468,\n",
              "  3483,\n",
              "  3498,\n",
              "  3513,\n",
              "  3528,\n",
              "  3543,\n",
              "  3558,\n",
              "  3573,\n",
              "  3588,\n",
              "  3603,\n",
              "  3618},\n",
              " 739: {724,\n",
              "  738,\n",
              "  740,\n",
              "  3633,\n",
              "  3648,\n",
              "  3663,\n",
              "  3678,\n",
              "  3693,\n",
              "  3708,\n",
              "  3723,\n",
              "  3738,\n",
              "  3753,\n",
              "  3768,\n",
              "  3783,\n",
              "  3798},\n",
              " 740: {725,\n",
              "  739,\n",
              "  741,\n",
              "  3813,\n",
              "  3828,\n",
              "  3843,\n",
              "  3858,\n",
              "  3873,\n",
              "  3888,\n",
              "  3903,\n",
              "  3918,\n",
              "  3933,\n",
              "  3948,\n",
              "  3963,\n",
              "  3978},\n",
              " 741: {726,\n",
              "  740,\n",
              "  742,\n",
              "  3993,\n",
              "  4008,\n",
              "  4023,\n",
              "  4038,\n",
              "  4053,\n",
              "  4068,\n",
              "  4083,\n",
              "  4098,\n",
              "  4113,\n",
              "  4128,\n",
              "  4143,\n",
              "  4158},\n",
              " 742: {727,\n",
              "  741,\n",
              "  743,\n",
              "  4173,\n",
              "  4188,\n",
              "  4203,\n",
              "  4218,\n",
              "  4233,\n",
              "  4248,\n",
              "  4263,\n",
              "  4278,\n",
              "  4293,\n",
              "  4308,\n",
              "  4323,\n",
              "  4338},\n",
              " 743: {728,\n",
              "  742,\n",
              "  744,\n",
              "  4353,\n",
              "  4368,\n",
              "  4383,\n",
              "  4398,\n",
              "  4413,\n",
              "  4428,\n",
              "  4443,\n",
              "  4458,\n",
              "  4473,\n",
              "  4488,\n",
              "  4503,\n",
              "  4518},\n",
              " 744: {729,\n",
              "  743,\n",
              "  745,\n",
              "  4533,\n",
              "  4548,\n",
              "  4563,\n",
              "  4578,\n",
              "  4593,\n",
              "  4608,\n",
              "  4623,\n",
              "  4638,\n",
              "  4653,\n",
              "  4668,\n",
              "  4683,\n",
              "  4698},\n",
              " 745: {730,\n",
              "  744,\n",
              "  746,\n",
              "  4713,\n",
              "  4728,\n",
              "  4743,\n",
              "  4758,\n",
              "  4773,\n",
              "  4788,\n",
              "  4803,\n",
              "  4818,\n",
              "  4833,\n",
              "  4848,\n",
              "  4863,\n",
              "  4878},\n",
              " 746: {731,\n",
              "  745,\n",
              "  747,\n",
              "  4893,\n",
              "  4908,\n",
              "  4923,\n",
              "  4938,\n",
              "  4953,\n",
              "  4968,\n",
              "  4983,\n",
              "  4998,\n",
              "  5013,\n",
              "  5028,\n",
              "  5043,\n",
              "  5058},\n",
              " 747: {732,\n",
              "  746,\n",
              "  748,\n",
              "  5073,\n",
              "  5088,\n",
              "  5103,\n",
              "  5118,\n",
              "  5133,\n",
              "  5148,\n",
              "  5163,\n",
              "  5178,\n",
              "  5193,\n",
              "  5208,\n",
              "  5223,\n",
              "  5238},\n",
              " 748: {733,\n",
              "  747,\n",
              "  749,\n",
              "  5253,\n",
              "  5268,\n",
              "  5283,\n",
              "  5298,\n",
              "  5313,\n",
              "  5328,\n",
              "  5343,\n",
              "  5358,\n",
              "  5373,\n",
              "  5388,\n",
              "  5403,\n",
              "  5418},\n",
              " 749: {734,\n",
              "  748,\n",
              "  5433,\n",
              "  5448,\n",
              "  5463,\n",
              "  5478,\n",
              "  5493,\n",
              "  5508,\n",
              "  5523,\n",
              "  5538,\n",
              "  5553,\n",
              "  5568,\n",
              "  5583,\n",
              "  5598},\n",
              " 750: {751,\n",
              "  765,\n",
              "  2913,\n",
              "  2928,\n",
              "  2944,\n",
              "  2959,\n",
              "  2974,\n",
              "  2989,\n",
              "  3003,\n",
              "  3018,\n",
              "  3033,\n",
              "  3048,\n",
              "  3063,\n",
              "  3078},\n",
              " 751: {750,\n",
              "  752,\n",
              "  766,\n",
              "  3093,\n",
              "  3108,\n",
              "  3124,\n",
              "  3139,\n",
              "  3154,\n",
              "  3169,\n",
              "  3183,\n",
              "  3198,\n",
              "  3213,\n",
              "  3228,\n",
              "  3243,\n",
              "  3258},\n",
              " 752: {751,\n",
              "  753,\n",
              "  767,\n",
              "  3273,\n",
              "  3288,\n",
              "  3304,\n",
              "  3319,\n",
              "  3334,\n",
              "  3349,\n",
              "  3363,\n",
              "  3378,\n",
              "  3393,\n",
              "  3408,\n",
              "  3423,\n",
              "  3438},\n",
              " 753: {752,\n",
              "  754,\n",
              "  768,\n",
              "  3453,\n",
              "  3468,\n",
              "  3484,\n",
              "  3499,\n",
              "  3514,\n",
              "  3529,\n",
              "  3543,\n",
              "  3558,\n",
              "  3573,\n",
              "  3588,\n",
              "  3603,\n",
              "  3618},\n",
              " 754: {753,\n",
              "  755,\n",
              "  769,\n",
              "  3633,\n",
              "  3648,\n",
              "  3664,\n",
              "  3679,\n",
              "  3694,\n",
              "  3709,\n",
              "  3723,\n",
              "  3738,\n",
              "  3753,\n",
              "  3768,\n",
              "  3783,\n",
              "  3798},\n",
              " 755: {754,\n",
              "  756,\n",
              "  770,\n",
              "  3813,\n",
              "  3828,\n",
              "  3844,\n",
              "  3859,\n",
              "  3874,\n",
              "  3889,\n",
              "  3903,\n",
              "  3918,\n",
              "  3933,\n",
              "  3948,\n",
              "  3963,\n",
              "  3978},\n",
              " 756: {755,\n",
              "  757,\n",
              "  771,\n",
              "  3993,\n",
              "  4008,\n",
              "  4024,\n",
              "  4039,\n",
              "  4054,\n",
              "  4069,\n",
              "  4083,\n",
              "  4098,\n",
              "  4113,\n",
              "  4128,\n",
              "  4143,\n",
              "  4158},\n",
              " 757: {756,\n",
              "  758,\n",
              "  772,\n",
              "  4173,\n",
              "  4188,\n",
              "  4204,\n",
              "  4219,\n",
              "  4234,\n",
              "  4249,\n",
              "  4263,\n",
              "  4278,\n",
              "  4293,\n",
              "  4308,\n",
              "  4323,\n",
              "  4338},\n",
              " 758: {757,\n",
              "  759,\n",
              "  773,\n",
              "  4353,\n",
              "  4368,\n",
              "  4384,\n",
              "  4399,\n",
              "  4414,\n",
              "  4429,\n",
              "  4443,\n",
              "  4458,\n",
              "  4473,\n",
              "  4488,\n",
              "  4503,\n",
              "  4518},\n",
              " 759: {758,\n",
              "  760,\n",
              "  774,\n",
              "  4533,\n",
              "  4548,\n",
              "  4564,\n",
              "  4579,\n",
              "  4594,\n",
              "  4609,\n",
              "  4623,\n",
              "  4638,\n",
              "  4653,\n",
              "  4668,\n",
              "  4683,\n",
              "  4698},\n",
              " 760: {759,\n",
              "  761,\n",
              "  775,\n",
              "  4713,\n",
              "  4728,\n",
              "  4744,\n",
              "  4759,\n",
              "  4774,\n",
              "  4789,\n",
              "  4803,\n",
              "  4818,\n",
              "  4833,\n",
              "  4848,\n",
              "  4863,\n",
              "  4878},\n",
              " 761: {760,\n",
              "  762,\n",
              "  776,\n",
              "  4893,\n",
              "  4908,\n",
              "  4924,\n",
              "  4939,\n",
              "  4954,\n",
              "  4969,\n",
              "  4983,\n",
              "  4998,\n",
              "  5013,\n",
              "  5028,\n",
              "  5043,\n",
              "  5058},\n",
              " 762: {761,\n",
              "  763,\n",
              "  777,\n",
              "  5073,\n",
              "  5088,\n",
              "  5104,\n",
              "  5119,\n",
              "  5134,\n",
              "  5149,\n",
              "  5163,\n",
              "  5178,\n",
              "  5193,\n",
              "  5208,\n",
              "  5223,\n",
              "  5238},\n",
              " 763: {762,\n",
              "  764,\n",
              "  778,\n",
              "  5253,\n",
              "  5268,\n",
              "  5284,\n",
              "  5299,\n",
              "  5314,\n",
              "  5329,\n",
              "  5343,\n",
              "  5358,\n",
              "  5373,\n",
              "  5388,\n",
              "  5403,\n",
              "  5418},\n",
              " 764: {763,\n",
              "  779,\n",
              "  5433,\n",
              "  5448,\n",
              "  5464,\n",
              "  5479,\n",
              "  5494,\n",
              "  5509,\n",
              "  5523,\n",
              "  5538,\n",
              "  5553,\n",
              "  5568,\n",
              "  5583,\n",
              "  5598},\n",
              " 765: {750,\n",
              "  766,\n",
              "  2913,\n",
              "  2928,\n",
              "  2944,\n",
              "  2959,\n",
              "  2974,\n",
              "  2989,\n",
              "  3003,\n",
              "  3018,\n",
              "  3033,\n",
              "  3048,\n",
              "  3063,\n",
              "  3078},\n",
              " 766: {751,\n",
              "  765,\n",
              "  767,\n",
              "  3093,\n",
              "  3108,\n",
              "  3124,\n",
              "  3139,\n",
              "  3154,\n",
              "  3169,\n",
              "  3183,\n",
              "  3198,\n",
              "  3213,\n",
              "  3228,\n",
              "  3243,\n",
              "  3258},\n",
              " 767: {752,\n",
              "  766,\n",
              "  768,\n",
              "  3273,\n",
              "  3288,\n",
              "  3304,\n",
              "  3319,\n",
              "  3334,\n",
              "  3349,\n",
              "  3363,\n",
              "  3378,\n",
              "  3393,\n",
              "  3408,\n",
              "  3423,\n",
              "  3438},\n",
              " 768: {753,\n",
              "  767,\n",
              "  769,\n",
              "  3453,\n",
              "  3468,\n",
              "  3484,\n",
              "  3499,\n",
              "  3514,\n",
              "  3529,\n",
              "  3543,\n",
              "  3558,\n",
              "  3573,\n",
              "  3588,\n",
              "  3603,\n",
              "  3618},\n",
              " 769: {754,\n",
              "  768,\n",
              "  770,\n",
              "  3633,\n",
              "  3648,\n",
              "  3664,\n",
              "  3679,\n",
              "  3694,\n",
              "  3709,\n",
              "  3723,\n",
              "  3738,\n",
              "  3753,\n",
              "  3768,\n",
              "  3783,\n",
              "  3798},\n",
              " 770: {755,\n",
              "  769,\n",
              "  771,\n",
              "  3813,\n",
              "  3828,\n",
              "  3844,\n",
              "  3859,\n",
              "  3874,\n",
              "  3889,\n",
              "  3903,\n",
              "  3918,\n",
              "  3933,\n",
              "  3948,\n",
              "  3963,\n",
              "  3978},\n",
              " 771: {756,\n",
              "  770,\n",
              "  772,\n",
              "  3993,\n",
              "  4008,\n",
              "  4024,\n",
              "  4039,\n",
              "  4054,\n",
              "  4069,\n",
              "  4083,\n",
              "  4098,\n",
              "  4113,\n",
              "  4128,\n",
              "  4143,\n",
              "  4158},\n",
              " 772: {757,\n",
              "  771,\n",
              "  773,\n",
              "  4173,\n",
              "  4188,\n",
              "  4204,\n",
              "  4219,\n",
              "  4234,\n",
              "  4249,\n",
              "  4263,\n",
              "  4278,\n",
              "  4293,\n",
              "  4308,\n",
              "  4323,\n",
              "  4338},\n",
              " 773: {758,\n",
              "  772,\n",
              "  774,\n",
              "  4353,\n",
              "  4368,\n",
              "  4384,\n",
              "  4399,\n",
              "  4414,\n",
              "  4429,\n",
              "  4443,\n",
              "  4458,\n",
              "  4473,\n",
              "  4488,\n",
              "  4503,\n",
              "  4518},\n",
              " 774: {759,\n",
              "  773,\n",
              "  775,\n",
              "  4533,\n",
              "  4548,\n",
              "  4564,\n",
              "  4579,\n",
              "  4594,\n",
              "  4609,\n",
              "  4623,\n",
              "  4638,\n",
              "  4653,\n",
              "  4668,\n",
              "  4683,\n",
              "  4698},\n",
              " 775: {760,\n",
              "  774,\n",
              "  776,\n",
              "  4713,\n",
              "  4728,\n",
              "  4744,\n",
              "  4759,\n",
              "  4774,\n",
              "  4789,\n",
              "  4803,\n",
              "  4818,\n",
              "  4833,\n",
              "  4848,\n",
              "  4863,\n",
              "  4878},\n",
              " 776: {761,\n",
              "  775,\n",
              "  777,\n",
              "  4893,\n",
              "  4908,\n",
              "  4924,\n",
              "  4939,\n",
              "  4954,\n",
              "  4969,\n",
              "  4983,\n",
              "  4998,\n",
              "  5013,\n",
              "  5028,\n",
              "  5043,\n",
              "  5058},\n",
              " 777: {762,\n",
              "  776,\n",
              "  778,\n",
              "  5073,\n",
              "  5088,\n",
              "  5104,\n",
              "  5119,\n",
              "  5134,\n",
              "  5149,\n",
              "  5163,\n",
              "  5178,\n",
              "  5193,\n",
              "  5208,\n",
              "  5223,\n",
              "  5238},\n",
              " 778: {763,\n",
              "  777,\n",
              "  779,\n",
              "  5253,\n",
              "  5268,\n",
              "  5284,\n",
              "  5299,\n",
              "  5314,\n",
              "  5329,\n",
              "  5343,\n",
              "  5358,\n",
              "  5373,\n",
              "  5388,\n",
              "  5403,\n",
              "  5418},\n",
              " 779: {764,\n",
              "  778,\n",
              "  5433,\n",
              "  5448,\n",
              "  5464,\n",
              "  5479,\n",
              "  5494,\n",
              "  5509,\n",
              "  5523,\n",
              "  5538,\n",
              "  5553,\n",
              "  5568,\n",
              "  5583,\n",
              "  5598},\n",
              " 780: {781,\n",
              "  795,\n",
              "  3033,\n",
              "  3048,\n",
              "  3063,\n",
              "  3078,\n",
              "  3093,\n",
              "  3108,\n",
              "  3124,\n",
              "  3139,\n",
              "  3154,\n",
              "  3169,\n",
              "  3183,\n",
              "  3198},\n",
              " 781: {780,\n",
              "  782,\n",
              "  796,\n",
              "  3213,\n",
              "  3228,\n",
              "  3243,\n",
              "  3258,\n",
              "  3273,\n",
              "  3288,\n",
              "  3304,\n",
              "  3319,\n",
              "  3334,\n",
              "  3349,\n",
              "  3363,\n",
              "  3378},\n",
              " 782: {781,\n",
              "  783,\n",
              "  797,\n",
              "  3393,\n",
              "  3408,\n",
              "  3423,\n",
              "  3438,\n",
              "  3453,\n",
              "  3468,\n",
              "  3484,\n",
              "  3499,\n",
              "  3514,\n",
              "  3529,\n",
              "  3543,\n",
              "  3558},\n",
              " 783: {782,\n",
              "  784,\n",
              "  798,\n",
              "  3573,\n",
              "  3588,\n",
              "  3603,\n",
              "  3618,\n",
              "  3633,\n",
              "  3648,\n",
              "  3664,\n",
              "  3679,\n",
              "  3694,\n",
              "  3709,\n",
              "  3723,\n",
              "  3738},\n",
              " 784: {783,\n",
              "  785,\n",
              "  799,\n",
              "  3753,\n",
              "  3768,\n",
              "  3783,\n",
              "  3798,\n",
              "  3813,\n",
              "  3828,\n",
              "  3844,\n",
              "  3859,\n",
              "  3874,\n",
              "  3889,\n",
              "  3903,\n",
              "  3918},\n",
              " 785: {784,\n",
              "  786,\n",
              "  800,\n",
              "  3933,\n",
              "  3948,\n",
              "  3963,\n",
              "  3978,\n",
              "  3993,\n",
              "  4008,\n",
              "  4024,\n",
              "  4039,\n",
              "  4054,\n",
              "  4069,\n",
              "  4083,\n",
              "  4098},\n",
              " 786: {785,\n",
              "  787,\n",
              "  801,\n",
              "  4113,\n",
              "  4128,\n",
              "  4143,\n",
              "  4158,\n",
              "  4173,\n",
              "  4188,\n",
              "  4204,\n",
              "  4219,\n",
              "  4234,\n",
              "  4249,\n",
              "  4263,\n",
              "  4278},\n",
              " 787: {786,\n",
              "  788,\n",
              "  802,\n",
              "  4293,\n",
              "  4308,\n",
              "  4323,\n",
              "  4338,\n",
              "  4353,\n",
              "  4368,\n",
              "  4384,\n",
              "  4399,\n",
              "  4414,\n",
              "  4429,\n",
              "  4443,\n",
              "  4458},\n",
              " 788: {787,\n",
              "  789,\n",
              "  803,\n",
              "  4473,\n",
              "  4488,\n",
              "  4503,\n",
              "  4518,\n",
              "  4533,\n",
              "  4548,\n",
              "  4564,\n",
              "  4579,\n",
              "  4594,\n",
              "  4609,\n",
              "  4623,\n",
              "  4638},\n",
              " 789: {788,\n",
              "  790,\n",
              "  804,\n",
              "  4653,\n",
              "  4668,\n",
              "  4683,\n",
              "  4698,\n",
              "  4713,\n",
              "  4728,\n",
              "  4744,\n",
              "  4759,\n",
              "  4774,\n",
              "  4789,\n",
              "  4803,\n",
              "  4818},\n",
              " 790: {789,\n",
              "  791,\n",
              "  805,\n",
              "  4833,\n",
              "  4848,\n",
              "  4863,\n",
              "  4878,\n",
              "  4893,\n",
              "  4908,\n",
              "  4924,\n",
              "  4939,\n",
              "  4954,\n",
              "  4969,\n",
              "  4983,\n",
              "  4998},\n",
              " 791: {790,\n",
              "  792,\n",
              "  806,\n",
              "  5013,\n",
              "  5028,\n",
              "  5043,\n",
              "  5058,\n",
              "  5073,\n",
              "  5088,\n",
              "  5104,\n",
              "  5119,\n",
              "  5134,\n",
              "  5149,\n",
              "  5163,\n",
              "  5178},\n",
              " 792: {791,\n",
              "  793,\n",
              "  807,\n",
              "  5193,\n",
              "  5208,\n",
              "  5223,\n",
              "  5238,\n",
              "  5253,\n",
              "  5268,\n",
              "  5284,\n",
              "  5299,\n",
              "  5314,\n",
              "  5329,\n",
              "  5343,\n",
              "  5358},\n",
              " 793: {792,\n",
              "  794,\n",
              "  808,\n",
              "  5373,\n",
              "  5388,\n",
              "  5403,\n",
              "  5418,\n",
              "  5433,\n",
              "  5448,\n",
              "  5464,\n",
              "  5479,\n",
              "  5494,\n",
              "  5509,\n",
              "  5523,\n",
              "  5538},\n",
              " 794: {793,\n",
              "  809,\n",
              "  5553,\n",
              "  5568,\n",
              "  5583,\n",
              "  5598,\n",
              "  5613,\n",
              "  5628,\n",
              "  5644,\n",
              "  5659,\n",
              "  5674,\n",
              "  5689,\n",
              "  5703,\n",
              "  5718},\n",
              " 795: {780,\n",
              "  796,\n",
              "  3033,\n",
              "  3048,\n",
              "  3063,\n",
              "  3078,\n",
              "  3093,\n",
              "  3108,\n",
              "  3124,\n",
              "  3139,\n",
              "  3154,\n",
              "  3169,\n",
              "  3183,\n",
              "  3198},\n",
              " 796: {781,\n",
              "  795,\n",
              "  797,\n",
              "  3213,\n",
              "  3228,\n",
              "  3243,\n",
              "  3258,\n",
              "  3273,\n",
              "  3288,\n",
              "  3304,\n",
              "  3319,\n",
              "  3334,\n",
              "  3349,\n",
              "  3363,\n",
              "  3378},\n",
              " 797: {782,\n",
              "  796,\n",
              "  798,\n",
              "  3393,\n",
              "  3408,\n",
              "  3423,\n",
              "  3438,\n",
              "  3453,\n",
              "  3468,\n",
              "  3484,\n",
              "  3499,\n",
              "  3514,\n",
              "  3529,\n",
              "  3543,\n",
              "  3558},\n",
              " 798: {783,\n",
              "  797,\n",
              "  799,\n",
              "  3573,\n",
              "  3588,\n",
              "  3603,\n",
              "  3618,\n",
              "  3633,\n",
              "  3648,\n",
              "  3664,\n",
              "  3679,\n",
              "  3694,\n",
              "  3709,\n",
              "  3723,\n",
              "  3738},\n",
              " 799: {784,\n",
              "  798,\n",
              "  800,\n",
              "  3753,\n",
              "  3768,\n",
              "  3783,\n",
              "  3798,\n",
              "  3813,\n",
              "  3828,\n",
              "  3844,\n",
              "  3859,\n",
              "  3874,\n",
              "  3889,\n",
              "  3903,\n",
              "  3918},\n",
              " 800: {785,\n",
              "  799,\n",
              "  801,\n",
              "  3933,\n",
              "  3948,\n",
              "  3963,\n",
              "  3978,\n",
              "  3993,\n",
              "  4008,\n",
              "  4024,\n",
              "  4039,\n",
              "  4054,\n",
              "  4069,\n",
              "  4083,\n",
              "  4098},\n",
              " 801: {786,\n",
              "  800,\n",
              "  802,\n",
              "  4113,\n",
              "  4128,\n",
              "  4143,\n",
              "  4158,\n",
              "  4173,\n",
              "  4188,\n",
              "  4204,\n",
              "  4219,\n",
              "  4234,\n",
              "  4249,\n",
              "  4263,\n",
              "  4278},\n",
              " 802: {787,\n",
              "  801,\n",
              "  803,\n",
              "  4293,\n",
              "  4308,\n",
              "  4323,\n",
              "  4338,\n",
              "  4353,\n",
              "  4368,\n",
              "  4384,\n",
              "  4399,\n",
              "  4414,\n",
              "  4429,\n",
              "  4443,\n",
              "  4458},\n",
              " 803: {788,\n",
              "  802,\n",
              "  804,\n",
              "  4473,\n",
              "  4488,\n",
              "  4503,\n",
              "  4518,\n",
              "  4533,\n",
              "  4548,\n",
              "  4564,\n",
              "  4579,\n",
              "  4594,\n",
              "  4609,\n",
              "  4623,\n",
              "  4638},\n",
              " 804: {789,\n",
              "  803,\n",
              "  805,\n",
              "  4653,\n",
              "  4668,\n",
              "  4683,\n",
              "  4698,\n",
              "  4713,\n",
              "  4728,\n",
              "  4744,\n",
              "  4759,\n",
              "  4774,\n",
              "  4789,\n",
              "  4803,\n",
              "  4818},\n",
              " 805: {790,\n",
              "  804,\n",
              "  806,\n",
              "  4833,\n",
              "  4848,\n",
              "  4863,\n",
              "  4878,\n",
              "  4893,\n",
              "  4908,\n",
              "  4924,\n",
              "  4939,\n",
              "  4954,\n",
              "  4969,\n",
              "  4983,\n",
              "  4998},\n",
              " 806: {791,\n",
              "  805,\n",
              "  807,\n",
              "  5013,\n",
              "  5028,\n",
              "  5043,\n",
              "  5058,\n",
              "  5073,\n",
              "  5088,\n",
              "  5104,\n",
              "  5119,\n",
              "  5134,\n",
              "  5149,\n",
              "  5163,\n",
              "  5178},\n",
              " 807: {792,\n",
              "  806,\n",
              "  808,\n",
              "  5193,\n",
              "  5208,\n",
              "  5223,\n",
              "  5238,\n",
              "  5253,\n",
              "  5268,\n",
              "  5284,\n",
              "  5299,\n",
              "  5314,\n",
              "  5329,\n",
              "  5343,\n",
              "  5358},\n",
              " 808: {793,\n",
              "  807,\n",
              "  809,\n",
              "  5373,\n",
              "  5388,\n",
              "  5403,\n",
              "  5418,\n",
              "  5433,\n",
              "  5448,\n",
              "  5464,\n",
              "  5479,\n",
              "  5494,\n",
              "  5509,\n",
              "  5523,\n",
              "  5538},\n",
              " 809: {794,\n",
              "  808,\n",
              "  5553,\n",
              "  5568,\n",
              "  5583,\n",
              "  5598,\n",
              "  5613,\n",
              "  5628,\n",
              "  5644,\n",
              "  5659,\n",
              "  5674,\n",
              "  5689,\n",
              "  5703,\n",
              "  5718},\n",
              " 810: {811,\n",
              "  825,\n",
              "  3033,\n",
              "  3048,\n",
              "  3079,\n",
              "  3094,\n",
              "  3109,\n",
              "  3124,\n",
              "  3139,\n",
              "  3154,\n",
              "  3169,\n",
              "  3183,\n",
              "  3198},\n",
              " 811: {810,\n",
              "  812,\n",
              "  826,\n",
              "  3213,\n",
              "  3228,\n",
              "  3244,\n",
              "  3259,\n",
              "  3274,\n",
              "  3289,\n",
              "  3304,\n",
              "  3319,\n",
              "  3334,\n",
              "  3349,\n",
              "  3363,\n",
              "  3378},\n",
              " 812: {811,\n",
              "  813,\n",
              "  827,\n",
              "  3393,\n",
              "  3408,\n",
              "  3424,\n",
              "  3439,\n",
              "  3454,\n",
              "  3469,\n",
              "  3484,\n",
              "  3499,\n",
              "  3514,\n",
              "  3529,\n",
              "  3543,\n",
              "  3558},\n",
              " 813: {812,\n",
              "  814,\n",
              "  828,\n",
              "  3573,\n",
              "  3588,\n",
              "  3604,\n",
              "  3619,\n",
              "  3634,\n",
              "  3649,\n",
              "  3664,\n",
              "  3679,\n",
              "  3694,\n",
              "  3709,\n",
              "  3723,\n",
              "  3738},\n",
              " 814: {813,\n",
              "  815,\n",
              "  829,\n",
              "  3753,\n",
              "  3768,\n",
              "  3784,\n",
              "  3799,\n",
              "  3814,\n",
              "  3829,\n",
              "  3844,\n",
              "  3859,\n",
              "  3874,\n",
              "  3889,\n",
              "  3903,\n",
              "  3918},\n",
              " 815: {814,\n",
              "  816,\n",
              "  830,\n",
              "  3933,\n",
              "  3948,\n",
              "  3964,\n",
              "  3979,\n",
              "  3994,\n",
              "  4009,\n",
              "  4024,\n",
              "  4039,\n",
              "  4054,\n",
              "  4069,\n",
              "  4083,\n",
              "  4098},\n",
              " 816: {815,\n",
              "  817,\n",
              "  831,\n",
              "  4113,\n",
              "  4128,\n",
              "  4144,\n",
              "  4159,\n",
              "  4174,\n",
              "  4189,\n",
              "  4204,\n",
              "  4219,\n",
              "  4234,\n",
              "  4249,\n",
              "  4263,\n",
              "  4278},\n",
              " 817: {816,\n",
              "  818,\n",
              "  832,\n",
              "  4293,\n",
              "  4308,\n",
              "  4324,\n",
              "  4339,\n",
              "  4354,\n",
              "  4369,\n",
              "  4384,\n",
              "  4399,\n",
              "  4414,\n",
              "  4429,\n",
              "  4443,\n",
              "  4458},\n",
              " 818: {817,\n",
              "  819,\n",
              "  833,\n",
              "  4473,\n",
              "  4488,\n",
              "  4504,\n",
              "  4519,\n",
              "  4534,\n",
              "  4549,\n",
              "  4564,\n",
              "  4579,\n",
              "  4594,\n",
              "  4609,\n",
              "  4623,\n",
              "  4638},\n",
              " 819: {818,\n",
              "  820,\n",
              "  834,\n",
              "  4653,\n",
              "  4668,\n",
              "  4684,\n",
              "  4699,\n",
              "  4714,\n",
              "  4729,\n",
              "  4744,\n",
              "  4759,\n",
              "  4774,\n",
              "  4789,\n",
              "  4803,\n",
              "  4818},\n",
              " 820: {819,\n",
              "  821,\n",
              "  835,\n",
              "  4833,\n",
              "  4848,\n",
              "  4864,\n",
              "  4879,\n",
              "  4894,\n",
              "  4909,\n",
              "  4924,\n",
              "  4939,\n",
              "  4954,\n",
              "  4969,\n",
              "  4983,\n",
              "  4998},\n",
              " 821: {820,\n",
              "  822,\n",
              "  836,\n",
              "  5013,\n",
              "  5028,\n",
              "  5044,\n",
              "  5059,\n",
              "  5074,\n",
              "  5089,\n",
              "  5104,\n",
              "  5119,\n",
              "  5134,\n",
              "  5149,\n",
              "  5163,\n",
              "  5178},\n",
              " 822: {821,\n",
              "  823,\n",
              "  837,\n",
              "  5193,\n",
              "  5208,\n",
              "  5224,\n",
              "  5239,\n",
              "  5254,\n",
              "  5269,\n",
              "  5284,\n",
              "  5299,\n",
              "  5314,\n",
              "  5329,\n",
              "  5343,\n",
              "  5358},\n",
              " 823: {822,\n",
              "  824,\n",
              "  838,\n",
              "  5373,\n",
              "  5388,\n",
              "  5404,\n",
              "  5419,\n",
              "  5434,\n",
              "  5449,\n",
              "  5464,\n",
              "  5479,\n",
              "  5494,\n",
              "  5509,\n",
              "  5523,\n",
              "  5538},\n",
              " 824: {823,\n",
              "  839,\n",
              "  5553,\n",
              "  5568,\n",
              "  5584,\n",
              "  5599,\n",
              "  5614,\n",
              "  5629,\n",
              "  5644,\n",
              "  5659,\n",
              "  5674,\n",
              "  5689,\n",
              "  5703,\n",
              "  5718},\n",
              " 825: {810,\n",
              "  826,\n",
              "  3033,\n",
              "  3048,\n",
              "  3079,\n",
              "  3094,\n",
              "  3109,\n",
              "  3124,\n",
              "  3139,\n",
              "  3154,\n",
              "  3169,\n",
              "  3183,\n",
              "  3198},\n",
              " 826: {811,\n",
              "  825,\n",
              "  827,\n",
              "  3213,\n",
              "  3228,\n",
              "  3244,\n",
              "  3259,\n",
              "  3274,\n",
              "  3289,\n",
              "  3304,\n",
              "  3319,\n",
              "  3334,\n",
              "  3349,\n",
              "  3363,\n",
              "  3378},\n",
              " 827: {812,\n",
              "  826,\n",
              "  828,\n",
              "  3393,\n",
              "  3408,\n",
              "  3424,\n",
              "  3439,\n",
              "  3454,\n",
              "  3469,\n",
              "  3484,\n",
              "  3499,\n",
              "  3514,\n",
              "  3529,\n",
              "  3543,\n",
              "  3558},\n",
              " 828: {813,\n",
              "  827,\n",
              "  829,\n",
              "  3573,\n",
              "  3588,\n",
              "  3604,\n",
              "  3619,\n",
              "  3634,\n",
              "  3649,\n",
              "  3664,\n",
              "  3679,\n",
              "  3694,\n",
              "  3709,\n",
              "  3723,\n",
              "  3738},\n",
              " 829: {814,\n",
              "  828,\n",
              "  830,\n",
              "  3753,\n",
              "  3768,\n",
              "  3784,\n",
              "  3799,\n",
              "  3814,\n",
              "  3829,\n",
              "  3844,\n",
              "  3859,\n",
              "  3874,\n",
              "  3889,\n",
              "  3903,\n",
              "  3918},\n",
              " 830: {815,\n",
              "  829,\n",
              "  831,\n",
              "  3933,\n",
              "  3948,\n",
              "  3964,\n",
              "  3979,\n",
              "  3994,\n",
              "  4009,\n",
              "  4024,\n",
              "  4039,\n",
              "  4054,\n",
              "  4069,\n",
              "  4083,\n",
              "  4098},\n",
              " 831: {816,\n",
              "  830,\n",
              "  832,\n",
              "  4113,\n",
              "  4128,\n",
              "  4144,\n",
              "  4159,\n",
              "  4174,\n",
              "  4189,\n",
              "  4204,\n",
              "  4219,\n",
              "  4234,\n",
              "  4249,\n",
              "  4263,\n",
              "  4278},\n",
              " 832: {817,\n",
              "  831,\n",
              "  833,\n",
              "  4293,\n",
              "  4308,\n",
              "  4324,\n",
              "  4339,\n",
              "  4354,\n",
              "  4369,\n",
              "  4384,\n",
              "  4399,\n",
              "  4414,\n",
              "  4429,\n",
              "  4443,\n",
              "  4458},\n",
              " 833: {818,\n",
              "  832,\n",
              "  834,\n",
              "  4473,\n",
              "  4488,\n",
              "  4504,\n",
              "  4519,\n",
              "  4534,\n",
              "  4549,\n",
              "  4564,\n",
              "  4579,\n",
              "  4594,\n",
              "  4609,\n",
              "  4623,\n",
              "  4638},\n",
              " 834: {819,\n",
              "  833,\n",
              "  835,\n",
              "  4653,\n",
              "  4668,\n",
              "  4684,\n",
              "  4699,\n",
              "  4714,\n",
              "  4729,\n",
              "  4744,\n",
              "  4759,\n",
              "  4774,\n",
              "  4789,\n",
              "  4803,\n",
              "  4818},\n",
              " 835: {820,\n",
              "  834,\n",
              "  836,\n",
              "  4833,\n",
              "  4848,\n",
              "  4864,\n",
              "  4879,\n",
              "  4894,\n",
              "  4909,\n",
              "  4924,\n",
              "  4939,\n",
              "  4954,\n",
              "  4969,\n",
              "  4983,\n",
              "  4998},\n",
              " 836: {821,\n",
              "  835,\n",
              "  837,\n",
              "  5013,\n",
              "  5028,\n",
              "  5044,\n",
              "  5059,\n",
              "  5074,\n",
              "  5089,\n",
              "  5104,\n",
              "  5119,\n",
              "  5134,\n",
              "  5149,\n",
              "  5163,\n",
              "  5178},\n",
              " 837: {822,\n",
              "  836,\n",
              "  838,\n",
              "  5193,\n",
              "  5208,\n",
              "  5224,\n",
              "  5239,\n",
              "  5254,\n",
              "  5269,\n",
              "  5284,\n",
              "  5299,\n",
              "  5314,\n",
              "  5329,\n",
              "  5343,\n",
              "  5358},\n",
              " 838: {823,\n",
              "  837,\n",
              "  839,\n",
              "  5373,\n",
              "  5388,\n",
              "  5404,\n",
              "  5419,\n",
              "  5434,\n",
              "  5449,\n",
              "  5464,\n",
              "  5479,\n",
              "  5494,\n",
              "  5509,\n",
              "  5523,\n",
              "  5538},\n",
              " 839: {824,\n",
              "  838,\n",
              "  5553,\n",
              "  5568,\n",
              "  5584,\n",
              "  5599,\n",
              "  5614,\n",
              "  5629,\n",
              "  5644,\n",
              "  5659,\n",
              "  5674,\n",
              "  5689,\n",
              "  5703,\n",
              "  5718},\n",
              " 840: {841,\n",
              "  855,\n",
              "  2974,\n",
              "  2989,\n",
              "  3003,\n",
              "  3018,\n",
              "  3033,\n",
              "  3048,\n",
              "  3079,\n",
              "  3094,\n",
              "  3109,\n",
              "  3124,\n",
              "  3139},\n",
              " 841: {840,\n",
              "  842,\n",
              "  856,\n",
              "  3154,\n",
              "  3169,\n",
              "  3183,\n",
              "  3198,\n",
              "  3213,\n",
              "  3228,\n",
              "  3244,\n",
              "  3259,\n",
              "  3274,\n",
              "  3289,\n",
              "  3304,\n",
              "  3319},\n",
              " 842: {841,\n",
              "  843,\n",
              "  857,\n",
              "  3334,\n",
              "  3349,\n",
              "  3363,\n",
              "  3378,\n",
              "  3393,\n",
              "  3408,\n",
              "  3424,\n",
              "  3439,\n",
              "  3454,\n",
              "  3469,\n",
              "  3484,\n",
              "  3499},\n",
              " 843: {842,\n",
              "  844,\n",
              "  858,\n",
              "  3514,\n",
              "  3529,\n",
              "  3543,\n",
              "  3558,\n",
              "  3573,\n",
              "  3588,\n",
              "  3604,\n",
              "  3619,\n",
              "  3634,\n",
              "  3649,\n",
              "  3664,\n",
              "  3679},\n",
              " 844: {843,\n",
              "  845,\n",
              "  859,\n",
              "  3694,\n",
              "  3709,\n",
              "  3723,\n",
              "  3738,\n",
              "  3753,\n",
              "  3768,\n",
              "  3784,\n",
              "  3799,\n",
              "  3814,\n",
              "  3829,\n",
              "  3844,\n",
              "  3859},\n",
              " 845: {844,\n",
              "  846,\n",
              "  860,\n",
              "  3874,\n",
              "  3889,\n",
              "  3903,\n",
              "  3918,\n",
              "  3933,\n",
              "  3948,\n",
              "  3964,\n",
              "  3979,\n",
              "  3994,\n",
              "  4009,\n",
              "  4024,\n",
              "  4039},\n",
              " 846: {845,\n",
              "  847,\n",
              "  861,\n",
              "  4054,\n",
              "  4069,\n",
              "  4083,\n",
              "  4098,\n",
              "  4113,\n",
              "  4128,\n",
              "  4144,\n",
              "  4159,\n",
              "  4174,\n",
              "  4189,\n",
              "  4204,\n",
              "  4219},\n",
              " 847: {846,\n",
              "  848,\n",
              "  862,\n",
              "  4234,\n",
              "  4249,\n",
              "  4263,\n",
              "  4278,\n",
              "  4293,\n",
              "  4308,\n",
              "  4324,\n",
              "  4339,\n",
              "  4354,\n",
              "  4369,\n",
              "  4384,\n",
              "  4399},\n",
              " 848: {847,\n",
              "  849,\n",
              "  863,\n",
              "  4414,\n",
              "  4429,\n",
              "  4443,\n",
              "  4458,\n",
              "  4473,\n",
              "  4488,\n",
              "  4504,\n",
              "  4519,\n",
              "  4534,\n",
              "  4549,\n",
              "  4564,\n",
              "  4579},\n",
              " 849: {848,\n",
              "  850,\n",
              "  864,\n",
              "  4594,\n",
              "  4609,\n",
              "  4623,\n",
              "  4638,\n",
              "  4653,\n",
              "  4668,\n",
              "  4684,\n",
              "  4699,\n",
              "  4714,\n",
              "  4729,\n",
              "  4744,\n",
              "  4759},\n",
              " 850: {849,\n",
              "  851,\n",
              "  865,\n",
              "  4774,\n",
              "  4789,\n",
              "  4803,\n",
              "  4818,\n",
              "  4833,\n",
              "  4848,\n",
              "  4864,\n",
              "  4879,\n",
              "  4894,\n",
              "  4909,\n",
              "  4924,\n",
              "  4939},\n",
              " 851: {850,\n",
              "  852,\n",
              "  866,\n",
              "  4954,\n",
              "  4969,\n",
              "  4983,\n",
              "  4998,\n",
              "  5013,\n",
              "  5028,\n",
              "  5044,\n",
              "  5059,\n",
              "  5074,\n",
              "  5089,\n",
              "  5104,\n",
              "  5119},\n",
              " 852: {851,\n",
              "  853,\n",
              "  867,\n",
              "  5134,\n",
              "  5149,\n",
              "  5163,\n",
              "  5178,\n",
              "  5193,\n",
              "  5208,\n",
              "  5224,\n",
              "  5239,\n",
              "  5254,\n",
              "  5269,\n",
              "  5284,\n",
              "  5299},\n",
              " 853: {852,\n",
              "  854,\n",
              "  868,\n",
              "  5314,\n",
              "  5329,\n",
              "  5343,\n",
              "  5358,\n",
              "  5373,\n",
              "  5388,\n",
              "  5404,\n",
              "  5419,\n",
              "  5434,\n",
              "  5449,\n",
              "  5464,\n",
              "  5479},\n",
              " 854: {853,\n",
              "  869,\n",
              "  5494,\n",
              "  5509,\n",
              "  5523,\n",
              "  5538,\n",
              "  5553,\n",
              "  5568,\n",
              "  5584,\n",
              "  5599,\n",
              "  5614,\n",
              "  5629,\n",
              "  5644,\n",
              "  5659},\n",
              " 855: {840,\n",
              "  856,\n",
              "  2974,\n",
              "  2989,\n",
              "  3003,\n",
              "  3018,\n",
              "  3033,\n",
              "  3048,\n",
              "  3079,\n",
              "  3094,\n",
              "  3109,\n",
              "  3124,\n",
              "  3139},\n",
              " 856: {841,\n",
              "  855,\n",
              "  857,\n",
              "  3154,\n",
              "  3169,\n",
              "  3183,\n",
              "  3198,\n",
              "  3213,\n",
              "  3228,\n",
              "  3244,\n",
              "  3259,\n",
              "  3274,\n",
              "  3289,\n",
              "  3304,\n",
              "  3319},\n",
              " 857: {842,\n",
              "  856,\n",
              "  858,\n",
              "  3334,\n",
              "  3349,\n",
              "  3363,\n",
              "  3378,\n",
              "  3393,\n",
              "  3408,\n",
              "  3424,\n",
              "  3439,\n",
              "  3454,\n",
              "  3469,\n",
              "  3484,\n",
              "  3499},\n",
              " 858: {843,\n",
              "  857,\n",
              "  859,\n",
              "  3514,\n",
              "  3529,\n",
              "  3543,\n",
              "  3558,\n",
              "  3573,\n",
              "  3588,\n",
              "  3604,\n",
              "  3619,\n",
              "  3634,\n",
              "  3649,\n",
              "  3664,\n",
              "  3679},\n",
              " 859: {844,\n",
              "  858,\n",
              "  860,\n",
              "  3694,\n",
              "  3709,\n",
              "  3723,\n",
              "  3738,\n",
              "  3753,\n",
              "  3768,\n",
              "  3784,\n",
              "  3799,\n",
              "  3814,\n",
              "  3829,\n",
              "  3844,\n",
              "  3859},\n",
              " 860: {845,\n",
              "  859,\n",
              "  861,\n",
              "  3874,\n",
              "  3889,\n",
              "  3903,\n",
              "  3918,\n",
              "  3933,\n",
              "  3948,\n",
              "  3964,\n",
              "  3979,\n",
              "  3994,\n",
              "  4009,\n",
              "  4024,\n",
              "  4039},\n",
              " 861: {846,\n",
              "  860,\n",
              "  862,\n",
              "  4054,\n",
              "  4069,\n",
              "  4083,\n",
              "  4098,\n",
              "  4113,\n",
              "  4128,\n",
              "  4144,\n",
              "  4159,\n",
              "  4174,\n",
              "  4189,\n",
              "  4204,\n",
              "  4219},\n",
              " 862: {847,\n",
              "  861,\n",
              "  863,\n",
              "  4234,\n",
              "  4249,\n",
              "  4263,\n",
              "  4278,\n",
              "  4293,\n",
              "  4308,\n",
              "  4324,\n",
              "  4339,\n",
              "  4354,\n",
              "  4369,\n",
              "  4384,\n",
              "  4399},\n",
              " 863: {848,\n",
              "  862,\n",
              "  864,\n",
              "  4414,\n",
              "  4429,\n",
              "  4443,\n",
              "  4458,\n",
              "  4473,\n",
              "  4488,\n",
              "  4504,\n",
              "  4519,\n",
              "  4534,\n",
              "  4549,\n",
              "  4564,\n",
              "  4579},\n",
              " 864: {849,\n",
              "  863,\n",
              "  865,\n",
              "  4594,\n",
              "  4609,\n",
              "  4623,\n",
              "  4638,\n",
              "  4653,\n",
              "  4668,\n",
              "  4684,\n",
              "  4699,\n",
              "  4714,\n",
              "  4729,\n",
              "  4744,\n",
              "  4759},\n",
              " 865: {850,\n",
              "  864,\n",
              "  866,\n",
              "  4774,\n",
              "  4789,\n",
              "  4803,\n",
              "  4818,\n",
              "  4833,\n",
              "  4848,\n",
              "  4864,\n",
              "  4879,\n",
              "  4894,\n",
              "  4909,\n",
              "  4924,\n",
              "  4939},\n",
              " 866: {851,\n",
              "  865,\n",
              "  867,\n",
              "  4954,\n",
              "  4969,\n",
              "  4983,\n",
              "  4998,\n",
              "  5013,\n",
              "  5028,\n",
              "  5044,\n",
              "  5059,\n",
              "  5074,\n",
              "  5089,\n",
              "  5104,\n",
              "  5119},\n",
              " 867: {852,\n",
              "  866,\n",
              "  868,\n",
              "  5134,\n",
              "  5149,\n",
              "  5163,\n",
              "  5178,\n",
              "  5193,\n",
              "  5208,\n",
              "  5224,\n",
              "  5239,\n",
              "  5254,\n",
              "  5269,\n",
              "  5284,\n",
              "  5299},\n",
              " 868: {853,\n",
              "  867,\n",
              "  869,\n",
              "  5314,\n",
              "  5329,\n",
              "  5343,\n",
              "  5358,\n",
              "  5373,\n",
              "  5388,\n",
              "  5404,\n",
              "  5419,\n",
              "  5434,\n",
              "  5449,\n",
              "  5464,\n",
              "  5479},\n",
              " 869: {854,\n",
              "  868,\n",
              "  5494,\n",
              "  5509,\n",
              "  5523,\n",
              "  5538,\n",
              "  5553,\n",
              "  5568,\n",
              "  5584,\n",
              "  5599,\n",
              "  5614,\n",
              "  5629,\n",
              "  5644,\n",
              "  5659},\n",
              " 870: {871,\n",
              "  885,\n",
              "  2974,\n",
              "  2989,\n",
              "  3004,\n",
              "  3019,\n",
              "  3034,\n",
              "  3049,\n",
              "  3079,\n",
              "  3094,\n",
              "  3109,\n",
              "  3124,\n",
              "  3139},\n",
              " 871: {870,\n",
              "  872,\n",
              "  886,\n",
              "  3154,\n",
              "  3169,\n",
              "  3184,\n",
              "  3199,\n",
              "  3214,\n",
              "  3229,\n",
              "  3244,\n",
              "  3259,\n",
              "  3274,\n",
              "  3289,\n",
              "  3304,\n",
              "  3319},\n",
              " 872: {871,\n",
              "  873,\n",
              "  887,\n",
              "  3334,\n",
              "  3349,\n",
              "  3364,\n",
              "  3379,\n",
              "  3394,\n",
              "  3409,\n",
              "  3424,\n",
              "  3439,\n",
              "  3454,\n",
              "  3469,\n",
              "  3484,\n",
              "  3499},\n",
              " 873: {872,\n",
              "  874,\n",
              "  888,\n",
              "  3514,\n",
              "  3529,\n",
              "  3544,\n",
              "  3559,\n",
              "  3574,\n",
              "  3589,\n",
              "  3604,\n",
              "  3619,\n",
              "  3634,\n",
              "  3649,\n",
              "  3664,\n",
              "  3679},\n",
              " 874: {873,\n",
              "  875,\n",
              "  889,\n",
              "  3694,\n",
              "  3709,\n",
              "  3724,\n",
              "  3739,\n",
              "  3754,\n",
              "  3769,\n",
              "  3784,\n",
              "  3799,\n",
              "  3814,\n",
              "  3829,\n",
              "  3844,\n",
              "  3859},\n",
              " 875: {874,\n",
              "  876,\n",
              "  890,\n",
              "  3874,\n",
              "  3889,\n",
              "  3904,\n",
              "  3919,\n",
              "  3934,\n",
              "  3949,\n",
              "  3964,\n",
              "  3979,\n",
              "  3994,\n",
              "  4009,\n",
              "  4024,\n",
              "  4039},\n",
              " 876: {875,\n",
              "  877,\n",
              "  891,\n",
              "  4054,\n",
              "  4069,\n",
              "  4084,\n",
              "  4099,\n",
              "  4114,\n",
              "  4129,\n",
              "  4144,\n",
              "  4159,\n",
              "  4174,\n",
              "  4189,\n",
              "  4204,\n",
              "  4219},\n",
              " 877: {876,\n",
              "  878,\n",
              "  892,\n",
              "  4234,\n",
              "  4249,\n",
              "  4264,\n",
              "  4279,\n",
              "  4294,\n",
              "  4309,\n",
              "  4324,\n",
              "  4339,\n",
              "  4354,\n",
              "  4369,\n",
              "  4384,\n",
              "  4399},\n",
              " 878: {877,\n",
              "  879,\n",
              "  893,\n",
              "  4414,\n",
              "  4429,\n",
              "  4444,\n",
              "  4459,\n",
              "  4474,\n",
              "  4489,\n",
              "  4504,\n",
              "  4519,\n",
              "  4534,\n",
              "  4549,\n",
              "  4564,\n",
              "  4579},\n",
              " 879: {878,\n",
              "  880,\n",
              "  894,\n",
              "  4594,\n",
              "  4609,\n",
              "  4624,\n",
              "  4639,\n",
              "  4654,\n",
              "  4669,\n",
              "  4684,\n",
              "  4699,\n",
              "  4714,\n",
              "  4729,\n",
              "  4744,\n",
              "  4759},\n",
              " 880: {879,\n",
              "  881,\n",
              "  895,\n",
              "  4774,\n",
              "  4789,\n",
              "  4804,\n",
              "  4819,\n",
              "  4834,\n",
              "  4849,\n",
              "  4864,\n",
              "  4879,\n",
              "  4894,\n",
              "  4909,\n",
              "  4924,\n",
              "  4939},\n",
              " 881: {880,\n",
              "  882,\n",
              "  896,\n",
              "  4954,\n",
              "  4969,\n",
              "  4984,\n",
              "  4999,\n",
              "  5014,\n",
              "  5029,\n",
              "  5044,\n",
              "  5059,\n",
              "  5074,\n",
              "  5089,\n",
              "  5104,\n",
              "  5119},\n",
              " 882: {881,\n",
              "  883,\n",
              "  897,\n",
              "  5134,\n",
              "  5149,\n",
              "  5164,\n",
              "  5179,\n",
              "  5194,\n",
              "  5209,\n",
              "  5224,\n",
              "  5239,\n",
              "  5254,\n",
              "  5269,\n",
              "  5284,\n",
              "  5299},\n",
              " 883: {882,\n",
              "  884,\n",
              "  898,\n",
              "  5314,\n",
              "  5329,\n",
              "  5344,\n",
              "  5359,\n",
              "  5374,\n",
              "  5389,\n",
              "  5404,\n",
              "  5419,\n",
              "  5434,\n",
              "  5449,\n",
              "  5464,\n",
              "  5479},\n",
              " 884: {883,\n",
              "  899,\n",
              "  5494,\n",
              "  5509,\n",
              "  5524,\n",
              "  5539,\n",
              "  5554,\n",
              "  5569,\n",
              "  5584,\n",
              "  5599,\n",
              "  5614,\n",
              "  5629,\n",
              "  5644,\n",
              "  5659},\n",
              " 885: {870,\n",
              "  886,\n",
              "  2974,\n",
              "  2989,\n",
              "  3004,\n",
              "  3019,\n",
              "  3034,\n",
              "  3049,\n",
              "  3079,\n",
              "  3094,\n",
              "  3109,\n",
              "  3124,\n",
              "  3139},\n",
              " 886: {871,\n",
              "  885,\n",
              "  887,\n",
              "  3154,\n",
              "  3169,\n",
              "  3184,\n",
              "  3199,\n",
              "  3214,\n",
              "  3229,\n",
              "  3244,\n",
              "  3259,\n",
              "  3274,\n",
              "  3289,\n",
              "  3304,\n",
              "  3319},\n",
              " 887: {872,\n",
              "  886,\n",
              "  888,\n",
              "  3334,\n",
              "  3349,\n",
              "  3364,\n",
              "  3379,\n",
              "  3394,\n",
              "  3409,\n",
              "  3424,\n",
              "  3439,\n",
              "  3454,\n",
              "  3469,\n",
              "  3484,\n",
              "  3499},\n",
              " 888: {873,\n",
              "  887,\n",
              "  889,\n",
              "  3514,\n",
              "  3529,\n",
              "  3544,\n",
              "  3559,\n",
              "  3574,\n",
              "  3589,\n",
              "  3604,\n",
              "  3619,\n",
              "  3634,\n",
              "  3649,\n",
              "  3664,\n",
              "  3679},\n",
              " 889: {874,\n",
              "  888,\n",
              "  890,\n",
              "  3694,\n",
              "  3709,\n",
              "  3724,\n",
              "  3739,\n",
              "  3754,\n",
              "  3769,\n",
              "  3784,\n",
              "  3799,\n",
              "  3814,\n",
              "  3829,\n",
              "  3844,\n",
              "  3859},\n",
              " 890: {875,\n",
              "  889,\n",
              "  891,\n",
              "  3874,\n",
              "  3889,\n",
              "  3904,\n",
              "  3919,\n",
              "  3934,\n",
              "  3949,\n",
              "  3964,\n",
              "  3979,\n",
              "  3994,\n",
              "  4009,\n",
              "  4024,\n",
              "  4039},\n",
              " 891: {876,\n",
              "  890,\n",
              "  892,\n",
              "  4054,\n",
              "  4069,\n",
              "  4084,\n",
              "  4099,\n",
              "  4114,\n",
              "  4129,\n",
              "  4144,\n",
              "  4159,\n",
              "  4174,\n",
              "  4189,\n",
              "  4204,\n",
              "  4219},\n",
              " 892: {877,\n",
              "  891,\n",
              "  893,\n",
              "  4234,\n",
              "  4249,\n",
              "  4264,\n",
              "  4279,\n",
              "  4294,\n",
              "  4309,\n",
              "  4324,\n",
              "  4339,\n",
              "  4354,\n",
              "  4369,\n",
              "  4384,\n",
              "  4399},\n",
              " 893: {878,\n",
              "  892,\n",
              "  894,\n",
              "  4414,\n",
              "  4429,\n",
              "  4444,\n",
              "  4459,\n",
              "  4474,\n",
              "  4489,\n",
              "  4504,\n",
              "  4519,\n",
              "  4534,\n",
              "  4549,\n",
              "  4564,\n",
              "  4579},\n",
              " 894: {879,\n",
              "  893,\n",
              "  895,\n",
              "  4594,\n",
              "  4609,\n",
              "  4624,\n",
              "  4639,\n",
              "  4654,\n",
              "  4669,\n",
              "  4684,\n",
              "  4699,\n",
              "  4714,\n",
              "  4729,\n",
              "  4744,\n",
              "  4759},\n",
              " 895: {880,\n",
              "  894,\n",
              "  896,\n",
              "  4774,\n",
              "  4789,\n",
              "  4804,\n",
              "  4819,\n",
              "  4834,\n",
              "  4849,\n",
              "  4864,\n",
              "  4879,\n",
              "  4894,\n",
              "  4909,\n",
              "  4924,\n",
              "  4939},\n",
              " 896: {881,\n",
              "  895,\n",
              "  897,\n",
              "  4954,\n",
              "  4969,\n",
              "  4984,\n",
              "  4999,\n",
              "  5014,\n",
              "  5029,\n",
              "  5044,\n",
              "  5059,\n",
              "  5074,\n",
              "  5089,\n",
              "  5104,\n",
              "  5119},\n",
              " 897: {882,\n",
              "  896,\n",
              "  898,\n",
              "  5134,\n",
              "  5149,\n",
              "  5164,\n",
              "  5179,\n",
              "  5194,\n",
              "  5209,\n",
              "  5224,\n",
              "  5239,\n",
              "  5254,\n",
              "  5269,\n",
              "  5284,\n",
              "  5299},\n",
              " 898: {883,\n",
              "  897,\n",
              "  899,\n",
              "  5314,\n",
              "  5329,\n",
              "  5344,\n",
              "  5359,\n",
              "  5374,\n",
              "  5389,\n",
              "  5404,\n",
              "  5419,\n",
              "  5434,\n",
              "  5449,\n",
              "  5464,\n",
              "  5479},\n",
              " 899: {884,\n",
              "  898,\n",
              "  5494,\n",
              "  5509,\n",
              "  5524,\n",
              "  5539,\n",
              "  5554,\n",
              "  5569,\n",
              "  5584,\n",
              "  5599,\n",
              "  5614,\n",
              "  5629,\n",
              "  5644,\n",
              "  5659},\n",
              " 900: {901,\n",
              "  915,\n",
              "  2914,\n",
              "  2929,\n",
              "  2944,\n",
              "  2959,\n",
              "  2974,\n",
              "  2989,\n",
              "  3004,\n",
              "  3019,\n",
              "  3034,\n",
              "  3049,\n",
              "  3079},\n",
              " 901: {900,\n",
              "  902,\n",
              "  916,\n",
              "  3094,\n",
              "  3109,\n",
              "  3124,\n",
              "  3139,\n",
              "  3154,\n",
              "  3169,\n",
              "  3184,\n",
              "  3199,\n",
              "  3214,\n",
              "  3229,\n",
              "  3244,\n",
              "  3259},\n",
              " 902: {901,\n",
              "  903,\n",
              "  917,\n",
              "  3274,\n",
              "  3289,\n",
              "  3304,\n",
              "  3319,\n",
              "  3334,\n",
              "  3349,\n",
              "  3364,\n",
              "  3379,\n",
              "  3394,\n",
              "  3409,\n",
              "  3424,\n",
              "  3439},\n",
              " 903: {902,\n",
              "  904,\n",
              "  918,\n",
              "  3454,\n",
              "  3469,\n",
              "  3484,\n",
              "  3499,\n",
              "  3514,\n",
              "  3529,\n",
              "  3544,\n",
              "  3559,\n",
              "  3574,\n",
              "  3589,\n",
              "  3604,\n",
              "  3619},\n",
              " 904: {903,\n",
              "  905,\n",
              "  919,\n",
              "  3634,\n",
              "  3649,\n",
              "  3664,\n",
              "  3679,\n",
              "  3694,\n",
              "  3709,\n",
              "  3724,\n",
              "  3739,\n",
              "  3754,\n",
              "  3769,\n",
              "  3784,\n",
              "  3799},\n",
              " 905: {904,\n",
              "  906,\n",
              "  920,\n",
              "  3814,\n",
              "  3829,\n",
              "  3844,\n",
              "  3859,\n",
              "  3874,\n",
              "  3889,\n",
              "  3904,\n",
              "  3919,\n",
              "  3934,\n",
              "  3949,\n",
              "  3964,\n",
              "  3979},\n",
              " 906: {905,\n",
              "  907,\n",
              "  921,\n",
              "  3994,\n",
              "  4009,\n",
              "  4024,\n",
              "  4039,\n",
              "  4054,\n",
              "  4069,\n",
              "  4084,\n",
              "  4099,\n",
              "  4114,\n",
              "  4129,\n",
              "  4144,\n",
              "  4159},\n",
              " 907: {906,\n",
              "  908,\n",
              "  922,\n",
              "  4174,\n",
              "  4189,\n",
              "  4204,\n",
              "  4219,\n",
              "  4234,\n",
              "  4249,\n",
              "  4264,\n",
              "  4279,\n",
              "  4294,\n",
              "  4309,\n",
              "  4324,\n",
              "  4339},\n",
              " 908: {907,\n",
              "  909,\n",
              "  923,\n",
              "  4354,\n",
              "  4369,\n",
              "  4384,\n",
              "  4399,\n",
              "  4414,\n",
              "  4429,\n",
              "  4444,\n",
              "  4459,\n",
              "  4474,\n",
              "  4489,\n",
              "  4504,\n",
              "  4519},\n",
              " 909: {908,\n",
              "  910,\n",
              "  924,\n",
              "  4534,\n",
              "  4549,\n",
              "  4564,\n",
              "  4579,\n",
              "  4594,\n",
              "  4609,\n",
              "  4624,\n",
              "  4639,\n",
              "  4654,\n",
              "  4669,\n",
              "  4684,\n",
              "  4699},\n",
              " 910: {909,\n",
              "  911,\n",
              "  925,\n",
              "  4714,\n",
              "  4729,\n",
              "  4744,\n",
              "  4759,\n",
              "  4774,\n",
              "  4789,\n",
              "  4804,\n",
              "  4819,\n",
              "  4834,\n",
              "  4849,\n",
              "  4864,\n",
              "  4879},\n",
              " 911: {910,\n",
              "  912,\n",
              "  926,\n",
              "  4894,\n",
              "  4909,\n",
              "  4924,\n",
              "  4939,\n",
              "  4954,\n",
              "  4969,\n",
              "  4984,\n",
              "  4999,\n",
              "  5014,\n",
              "  5029,\n",
              "  5044,\n",
              "  5059},\n",
              " 912: {911,\n",
              "  913,\n",
              "  927,\n",
              "  5074,\n",
              "  5089,\n",
              "  5104,\n",
              "  5119,\n",
              "  5134,\n",
              "  5149,\n",
              "  5164,\n",
              "  5179,\n",
              "  5194,\n",
              "  5209,\n",
              "  5224,\n",
              "  5239},\n",
              " 913: {912,\n",
              "  914,\n",
              "  928,\n",
              "  5254,\n",
              "  5269,\n",
              "  5284,\n",
              "  5299,\n",
              "  5314,\n",
              "  5329,\n",
              "  5344,\n",
              "  5359,\n",
              "  5374,\n",
              "  5389,\n",
              "  5404,\n",
              "  5419},\n",
              " 914: {913,\n",
              "  929,\n",
              "  5434,\n",
              "  5449,\n",
              "  5464,\n",
              "  5479,\n",
              "  5494,\n",
              "  5509,\n",
              "  5524,\n",
              "  5539,\n",
              "  5554,\n",
              "  5569,\n",
              "  5584,\n",
              "  5599},\n",
              " 915: {900,\n",
              "  916,\n",
              "  2914,\n",
              "  2929,\n",
              "  2944,\n",
              "  2959,\n",
              "  2974,\n",
              "  2989,\n",
              "  3004,\n",
              "  3019,\n",
              "  3034,\n",
              "  3049,\n",
              "  3079},\n",
              " 916: {901,\n",
              "  915,\n",
              "  917,\n",
              "  3094,\n",
              "  3109,\n",
              "  3124,\n",
              "  3139,\n",
              "  3154,\n",
              "  3169,\n",
              "  3184,\n",
              "  3199,\n",
              "  3214,\n",
              "  3229,\n",
              "  3244,\n",
              "  3259},\n",
              " 917: {902,\n",
              "  916,\n",
              "  918,\n",
              "  3274,\n",
              "  3289,\n",
              "  3304,\n",
              "  3319,\n",
              "  3334,\n",
              "  3349,\n",
              "  3364,\n",
              "  3379,\n",
              "  3394,\n",
              "  3409,\n",
              "  3424,\n",
              "  3439},\n",
              " 918: {903,\n",
              "  917,\n",
              "  919,\n",
              "  3454,\n",
              "  3469,\n",
              "  3484,\n",
              "  3499,\n",
              "  3514,\n",
              "  3529,\n",
              "  3544,\n",
              "  3559,\n",
              "  3574,\n",
              "  3589,\n",
              "  3604,\n",
              "  3619},\n",
              " 919: {904,\n",
              "  918,\n",
              "  920,\n",
              "  3634,\n",
              "  3649,\n",
              "  3664,\n",
              "  3679,\n",
              "  3694,\n",
              "  3709,\n",
              "  3724,\n",
              "  3739,\n",
              "  3754,\n",
              "  3769,\n",
              "  3784,\n",
              "  3799},\n",
              " 920: {905,\n",
              "  919,\n",
              "  921,\n",
              "  3814,\n",
              "  3829,\n",
              "  3844,\n",
              "  3859,\n",
              "  3874,\n",
              "  3889,\n",
              "  3904,\n",
              "  3919,\n",
              "  3934,\n",
              "  3949,\n",
              "  3964,\n",
              "  3979},\n",
              " 921: {906,\n",
              "  920,\n",
              "  922,\n",
              "  3994,\n",
              "  4009,\n",
              "  4024,\n",
              "  4039,\n",
              "  4054,\n",
              "  4069,\n",
              "  4084,\n",
              "  4099,\n",
              "  4114,\n",
              "  4129,\n",
              "  4144,\n",
              "  4159},\n",
              " 922: {907,\n",
              "  921,\n",
              "  923,\n",
              "  4174,\n",
              "  4189,\n",
              "  4204,\n",
              "  4219,\n",
              "  4234,\n",
              "  4249,\n",
              "  4264,\n",
              "  4279,\n",
              "  4294,\n",
              "  4309,\n",
              "  4324,\n",
              "  4339},\n",
              " 923: {908,\n",
              "  922,\n",
              "  924,\n",
              "  4354,\n",
              "  4369,\n",
              "  4384,\n",
              "  4399,\n",
              "  4414,\n",
              "  4429,\n",
              "  4444,\n",
              "  4459,\n",
              "  4474,\n",
              "  4489,\n",
              "  4504,\n",
              "  4519},\n",
              " 924: {909,\n",
              "  923,\n",
              "  925,\n",
              "  4534,\n",
              "  4549,\n",
              "  4564,\n",
              "  4579,\n",
              "  4594,\n",
              "  4609,\n",
              "  4624,\n",
              "  4639,\n",
              "  4654,\n",
              "  4669,\n",
              "  4684,\n",
              "  4699},\n",
              " 925: {910,\n",
              "  924,\n",
              "  926,\n",
              "  4714,\n",
              "  4729,\n",
              "  4744,\n",
              "  4759,\n",
              "  4774,\n",
              "  4789,\n",
              "  4804,\n",
              "  4819,\n",
              "  4834,\n",
              "  4849,\n",
              "  4864,\n",
              "  4879},\n",
              " 926: {911,\n",
              "  925,\n",
              "  927,\n",
              "  4894,\n",
              "  4909,\n",
              "  4924,\n",
              "  4939,\n",
              "  4954,\n",
              "  4969,\n",
              "  4984,\n",
              "  4999,\n",
              "  5014,\n",
              "  5029,\n",
              "  5044,\n",
              "  5059},\n",
              " 927: {912,\n",
              "  926,\n",
              "  928,\n",
              "  5074,\n",
              "  5089,\n",
              "  5104,\n",
              "  5119,\n",
              "  5134,\n",
              "  5149,\n",
              "  5164,\n",
              "  5179,\n",
              "  5194,\n",
              "  5209,\n",
              "  5224,\n",
              "  5239},\n",
              " 928: {913,\n",
              "  927,\n",
              "  929,\n",
              "  5254,\n",
              "  5269,\n",
              "  5284,\n",
              "  5299,\n",
              "  5314,\n",
              "  5329,\n",
              "  5344,\n",
              "  5359,\n",
              "  5374,\n",
              "  5389,\n",
              "  5404,\n",
              "  5419},\n",
              " 929: {914,\n",
              "  928,\n",
              "  5434,\n",
              "  5449,\n",
              "  5464,\n",
              "  5479,\n",
              "  5494,\n",
              "  5509,\n",
              "  5524,\n",
              "  5539,\n",
              "  5554,\n",
              "  5569,\n",
              "  5584,\n",
              "  5599},\n",
              " 930: {931,\n",
              "  945,\n",
              "  2914,\n",
              "  2929,\n",
              "  2945,\n",
              "  2960,\n",
              "  2975,\n",
              "  2990,\n",
              "  3004,\n",
              "  3019,\n",
              "  3034,\n",
              "  3049,\n",
              "  3079},\n",
              " 931: {930,\n",
              "  932,\n",
              "  946,\n",
              "  3094,\n",
              "  3109,\n",
              "  3125,\n",
              "  3140,\n",
              "  3155,\n",
              "  3170,\n",
              "  3184,\n",
              "  3199,\n",
              "  3214,\n",
              "  3229,\n",
              "  3244,\n",
              "  3259},\n",
              " 932: {931,\n",
              "  933,\n",
              "  947,\n",
              "  3274,\n",
              "  3289,\n",
              "  3305,\n",
              "  3320,\n",
              "  3335,\n",
              "  3350,\n",
              "  3364,\n",
              "  3379,\n",
              "  3394,\n",
              "  3409,\n",
              "  3424,\n",
              "  3439},\n",
              " 933: {932,\n",
              "  934,\n",
              "  948,\n",
              "  3454,\n",
              "  3469,\n",
              "  3485,\n",
              "  3500,\n",
              "  3515,\n",
              "  3530,\n",
              "  3544,\n",
              "  3559,\n",
              "  3574,\n",
              "  3589,\n",
              "  3604,\n",
              "  3619},\n",
              " 934: {933,\n",
              "  935,\n",
              "  949,\n",
              "  3634,\n",
              "  3649,\n",
              "  3665,\n",
              "  3680,\n",
              "  3695,\n",
              "  3710,\n",
              "  3724,\n",
              "  3739,\n",
              "  3754,\n",
              "  3769,\n",
              "  3784,\n",
              "  3799},\n",
              " 935: {934,\n",
              "  936,\n",
              "  950,\n",
              "  3814,\n",
              "  3829,\n",
              "  3845,\n",
              "  3860,\n",
              "  3875,\n",
              "  3890,\n",
              "  3904,\n",
              "  3919,\n",
              "  3934,\n",
              "  3949,\n",
              "  3964,\n",
              "  3979},\n",
              " 936: {935,\n",
              "  937,\n",
              "  951,\n",
              "  3994,\n",
              "  4009,\n",
              "  4025,\n",
              "  4040,\n",
              "  4055,\n",
              "  4070,\n",
              "  4084,\n",
              "  4099,\n",
              "  4114,\n",
              "  4129,\n",
              "  4144,\n",
              "  4159},\n",
              " 937: {936,\n",
              "  938,\n",
              "  952,\n",
              "  4174,\n",
              "  4189,\n",
              "  4205,\n",
              "  4220,\n",
              "  4235,\n",
              "  4250,\n",
              "  4264,\n",
              "  4279,\n",
              "  4294,\n",
              "  4309,\n",
              "  4324,\n",
              "  4339},\n",
              " 938: {937,\n",
              "  939,\n",
              "  953,\n",
              "  4354,\n",
              "  4369,\n",
              "  4385,\n",
              "  4400,\n",
              "  4415,\n",
              "  4430,\n",
              "  4444,\n",
              "  4459,\n",
              "  4474,\n",
              "  4489,\n",
              "  4504,\n",
              "  4519},\n",
              " 939: {938,\n",
              "  940,\n",
              "  954,\n",
              "  4534,\n",
              "  4549,\n",
              "  4565,\n",
              "  4580,\n",
              "  4595,\n",
              "  4610,\n",
              "  4624,\n",
              "  4639,\n",
              "  4654,\n",
              "  4669,\n",
              "  4699},\n",
              " 940: {939,\n",
              "  941,\n",
              "  955,\n",
              "  4714,\n",
              "  4729,\n",
              "  4745,\n",
              "  4760,\n",
              "  4775,\n",
              "  4790,\n",
              "  4804,\n",
              "  4819,\n",
              "  4834,\n",
              "  4849,\n",
              "  4864,\n",
              "  4879},\n",
              " 941: {940,\n",
              "  942,\n",
              "  956,\n",
              "  4894,\n",
              "  4909,\n",
              "  4925,\n",
              "  4940,\n",
              "  4955,\n",
              "  4970,\n",
              "  4984,\n",
              "  4999,\n",
              "  5014,\n",
              "  5029,\n",
              "  5044,\n",
              "  5059},\n",
              " 942: {941,\n",
              "  943,\n",
              "  957,\n",
              "  5074,\n",
              "  5089,\n",
              "  5105,\n",
              "  5120,\n",
              "  5135,\n",
              "  5150,\n",
              "  5164,\n",
              "  5179,\n",
              "  5194,\n",
              "  5209,\n",
              "  5224,\n",
              "  5239},\n",
              " 943: {942,\n",
              "  944,\n",
              "  958,\n",
              "  5254,\n",
              "  5269,\n",
              "  5285,\n",
              "  5300,\n",
              "  5315,\n",
              "  5330,\n",
              "  5344,\n",
              "  5359,\n",
              "  5374,\n",
              "  5389,\n",
              "  5404,\n",
              "  5419},\n",
              " 944: {943,\n",
              "  959,\n",
              "  5434,\n",
              "  5449,\n",
              "  5465,\n",
              "  5480,\n",
              "  5495,\n",
              "  5510,\n",
              "  5524,\n",
              "  5539,\n",
              "  5554,\n",
              "  5569,\n",
              "  5584,\n",
              "  5599},\n",
              " 945: {930,\n",
              "  946,\n",
              "  2914,\n",
              "  2929,\n",
              "  2945,\n",
              "  2960,\n",
              "  2975,\n",
              "  2990,\n",
              "  3004,\n",
              "  3019,\n",
              "  3034,\n",
              "  3049,\n",
              "  3079},\n",
              " 946: {931,\n",
              "  945,\n",
              "  947,\n",
              "  3094,\n",
              "  3109,\n",
              "  3125,\n",
              "  3140,\n",
              "  3155,\n",
              "  3170,\n",
              "  3184,\n",
              "  3199,\n",
              "  3214,\n",
              "  3229,\n",
              "  3244,\n",
              "  3259},\n",
              " 947: {932,\n",
              "  946,\n",
              "  948,\n",
              "  3274,\n",
              "  3289,\n",
              "  3305,\n",
              "  3320,\n",
              "  3335,\n",
              "  3350,\n",
              "  3364,\n",
              "  3379,\n",
              "  3394,\n",
              "  3409,\n",
              "  3424,\n",
              "  3439},\n",
              " 948: {933,\n",
              "  947,\n",
              "  949,\n",
              "  3454,\n",
              "  3469,\n",
              "  3485,\n",
              "  3500,\n",
              "  3515,\n",
              "  3530,\n",
              "  3544,\n",
              "  3559,\n",
              "  3574,\n",
              "  3589,\n",
              "  3604,\n",
              "  3619},\n",
              " 949: {934,\n",
              "  948,\n",
              "  950,\n",
              "  3634,\n",
              "  3649,\n",
              "  3665,\n",
              "  3680,\n",
              "  3695,\n",
              "  3710,\n",
              "  3724,\n",
              "  3739,\n",
              "  3754,\n",
              "  3769,\n",
              "  3784,\n",
              "  3799},\n",
              " 950: {935,\n",
              "  949,\n",
              "  951,\n",
              "  3814,\n",
              "  3829,\n",
              "  3845,\n",
              "  3860,\n",
              "  3875,\n",
              "  3890,\n",
              "  3904,\n",
              "  3919,\n",
              "  3934,\n",
              "  3949,\n",
              "  3964,\n",
              "  3979},\n",
              " 951: {936,\n",
              "  950,\n",
              "  952,\n",
              "  3994,\n",
              "  4009,\n",
              "  4025,\n",
              "  4040,\n",
              "  4055,\n",
              "  4070,\n",
              "  4084,\n",
              "  4099,\n",
              "  4114,\n",
              "  4129,\n",
              "  4144,\n",
              "  4159},\n",
              " 952: {937,\n",
              "  951,\n",
              "  953,\n",
              "  4174,\n",
              "  4189,\n",
              "  4205,\n",
              "  4220,\n",
              "  4235,\n",
              "  4250,\n",
              "  4264,\n",
              "  4279,\n",
              "  4294,\n",
              "  4309,\n",
              "  4324,\n",
              "  4339},\n",
              " 953: {938,\n",
              "  952,\n",
              "  954,\n",
              "  4354,\n",
              "  4369,\n",
              "  4385,\n",
              "  4400,\n",
              "  4415,\n",
              "  4430,\n",
              "  4444,\n",
              "  4459,\n",
              "  4474,\n",
              "  4489,\n",
              "  4504,\n",
              "  4519},\n",
              " 954: {939,\n",
              "  953,\n",
              "  955,\n",
              "  4534,\n",
              "  4549,\n",
              "  4565,\n",
              "  4580,\n",
              "  4595,\n",
              "  4610,\n",
              "  4624,\n",
              "  4639,\n",
              "  4654,\n",
              "  4669,\n",
              "  4684,\n",
              "  4699},\n",
              " 955: {940,\n",
              "  954,\n",
              "  956,\n",
              "  4714,\n",
              "  4729,\n",
              "  4745,\n",
              "  4760,\n",
              "  4775,\n",
              "  4790,\n",
              "  4804,\n",
              "  4819,\n",
              "  4834,\n",
              "  4849,\n",
              "  4864,\n",
              "  4879},\n",
              " 956: {941,\n",
              "  955,\n",
              "  957,\n",
              "  4894,\n",
              "  4909,\n",
              "  4925,\n",
              "  4940,\n",
              "  4955,\n",
              "  4970,\n",
              "  4984,\n",
              "  4999,\n",
              "  5014,\n",
              "  5029,\n",
              "  5044,\n",
              "  5059},\n",
              " 957: {942,\n",
              "  956,\n",
              "  958,\n",
              "  5074,\n",
              "  5089,\n",
              "  5105,\n",
              "  5120,\n",
              "  5135,\n",
              "  5150,\n",
              "  5164,\n",
              "  5179,\n",
              "  5194,\n",
              "  5209,\n",
              "  5224,\n",
              "  5239},\n",
              " 958: {943,\n",
              "  957,\n",
              "  959,\n",
              "  5254,\n",
              "  5269,\n",
              "  5285,\n",
              "  5300,\n",
              "  5315,\n",
              "  5330,\n",
              "  5344,\n",
              "  5359,\n",
              "  5374,\n",
              "  5389,\n",
              "  5404,\n",
              "  5419},\n",
              " 959: {944,\n",
              "  958,\n",
              "  5434,\n",
              "  5449,\n",
              "  5465,\n",
              "  5480,\n",
              "  5495,\n",
              "  5510,\n",
              "  5524,\n",
              "  5539,\n",
              "  5554,\n",
              "  5569,\n",
              "  5584,\n",
              "  5599},\n",
              " 960: {961,\n",
              "  975,\n",
              "  3034,\n",
              "  3049,\n",
              "  3079,\n",
              "  3094,\n",
              "  3109,\n",
              "  3125,\n",
              "  3140,\n",
              "  3155,\n",
              "  3170,\n",
              "  3184,\n",
              "  3199},\n",
              " 961: {960,\n",
              "  962,\n",
              "  976,\n",
              "  3214,\n",
              "  3229,\n",
              "  3244,\n",
              "  3259,\n",
              "  3274,\n",
              "  3289,\n",
              "  3305,\n",
              "  3320,\n",
              "  3335,\n",
              "  3350,\n",
              "  3364,\n",
              "  3379},\n",
              " 962: {961,\n",
              "  963,\n",
              "  977,\n",
              "  3394,\n",
              "  3409,\n",
              "  3424,\n",
              "  3439,\n",
              "  3454,\n",
              "  3469,\n",
              "  3485,\n",
              "  3500,\n",
              "  3515,\n",
              "  3530,\n",
              "  3544,\n",
              "  3559},\n",
              " 963: {962,\n",
              "  964,\n",
              "  978,\n",
              "  3574,\n",
              "  3589,\n",
              "  3604,\n",
              "  3619,\n",
              "  3634,\n",
              "  3649,\n",
              "  3665,\n",
              "  3680,\n",
              "  3695,\n",
              "  3710,\n",
              "  3724,\n",
              "  3739},\n",
              " 964: {963,\n",
              "  965,\n",
              "  979,\n",
              "  3754,\n",
              "  3769,\n",
              "  3784,\n",
              "  3799,\n",
              "  3814,\n",
              "  3829,\n",
              "  3845,\n",
              "  3860,\n",
              "  3875,\n",
              "  3890,\n",
              "  3904,\n",
              "  3919},\n",
              " 965: {964,\n",
              "  966,\n",
              "  980,\n",
              "  3934,\n",
              "  3949,\n",
              "  3964,\n",
              "  3979,\n",
              "  3994,\n",
              "  4009,\n",
              "  4025,\n",
              "  4040,\n",
              "  4055,\n",
              "  4070,\n",
              "  4084,\n",
              "  4099},\n",
              " 966: {965,\n",
              "  967,\n",
              "  981,\n",
              "  4114,\n",
              "  4129,\n",
              "  4144,\n",
              "  4159,\n",
              "  4174,\n",
              "  4189,\n",
              "  4205,\n",
              "  4220,\n",
              "  4235,\n",
              "  4250,\n",
              "  4264,\n",
              "  4279},\n",
              " 967: {966,\n",
              "  968,\n",
              "  982,\n",
              "  4294,\n",
              "  4309,\n",
              "  4324,\n",
              "  4339,\n",
              "  4354,\n",
              "  4369,\n",
              "  4385,\n",
              "  4400,\n",
              "  4415,\n",
              "  4430,\n",
              "  4444,\n",
              "  4459},\n",
              " 968: {967,\n",
              "  969,\n",
              "  983,\n",
              "  4474,\n",
              "  4489,\n",
              "  4504,\n",
              "  4519,\n",
              "  4534,\n",
              "  4549,\n",
              "  4565,\n",
              "  4580,\n",
              "  4595,\n",
              "  4610,\n",
              "  4624,\n",
              "  4639},\n",
              " 969: {968,\n",
              "  970,\n",
              "  984,\n",
              "  4654,\n",
              "  4669,\n",
              "  4684,\n",
              "  4699,\n",
              "  4714,\n",
              "  4729,\n",
              "  4745,\n",
              "  4760,\n",
              "  4775,\n",
              "  4790,\n",
              "  4804,\n",
              "  4819},\n",
              " 970: {969,\n",
              "  971,\n",
              "  985,\n",
              "  4834,\n",
              "  4849,\n",
              "  4864,\n",
              "  4879,\n",
              "  4894,\n",
              "  4909,\n",
              "  4925,\n",
              "  4940,\n",
              "  4955,\n",
              "  4970,\n",
              "  4984,\n",
              "  4999},\n",
              " 971: {970,\n",
              "  972,\n",
              "  986,\n",
              "  5014,\n",
              "  5029,\n",
              "  5044,\n",
              "  5059,\n",
              "  5074,\n",
              "  5089,\n",
              "  5105,\n",
              "  5120,\n",
              "  5135,\n",
              "  5150,\n",
              "  5164,\n",
              "  5179},\n",
              " 972: {971,\n",
              "  973,\n",
              "  987,\n",
              "  5194,\n",
              "  5209,\n",
              "  5224,\n",
              "  5239,\n",
              "  5254,\n",
              "  5269,\n",
              "  5285,\n",
              "  5300,\n",
              "  5315,\n",
              "  5330,\n",
              "  5344,\n",
              "  5359},\n",
              " 973: {972,\n",
              "  974,\n",
              "  988,\n",
              "  5374,\n",
              "  5389,\n",
              "  5404,\n",
              "  5419,\n",
              "  5434,\n",
              "  5449,\n",
              "  5465,\n",
              "  5480,\n",
              "  5495,\n",
              "  5510,\n",
              "  5524,\n",
              "  5539},\n",
              " 974: {973,\n",
              "  989,\n",
              "  5554,\n",
              "  5569,\n",
              "  5584,\n",
              "  5599,\n",
              "  5614,\n",
              "  5629,\n",
              "  5645,\n",
              "  5660,\n",
              "  5675,\n",
              "  5690,\n",
              "  5704,\n",
              "  5719},\n",
              " 975: {960,\n",
              "  976,\n",
              "  3034,\n",
              "  3049,\n",
              "  3079,\n",
              "  3094,\n",
              "  3109,\n",
              "  3125,\n",
              "  3140,\n",
              "  3155,\n",
              "  3170,\n",
              "  3184,\n",
              "  3199},\n",
              " 976: {961,\n",
              "  975,\n",
              "  977,\n",
              "  3214,\n",
              "  3229,\n",
              "  3244,\n",
              "  3259,\n",
              "  3274,\n",
              "  3289,\n",
              "  3305,\n",
              "  3320,\n",
              "  3335,\n",
              "  3350,\n",
              "  3364,\n",
              "  3379},\n",
              " 977: {962,\n",
              "  976,\n",
              "  978,\n",
              "  3394,\n",
              "  3409,\n",
              "  3424,\n",
              "  3439,\n",
              "  3454,\n",
              "  3469,\n",
              "  3485,\n",
              "  3500,\n",
              "  3515,\n",
              "  3530,\n",
              "  3544,\n",
              "  3559},\n",
              " 978: {963,\n",
              "  977,\n",
              "  979,\n",
              "  3574,\n",
              "  3589,\n",
              "  3604,\n",
              "  3619,\n",
              "  3634,\n",
              "  3649,\n",
              "  3665,\n",
              "  3680,\n",
              "  3695,\n",
              "  3710,\n",
              "  3724,\n",
              "  3739},\n",
              " 979: {964,\n",
              "  978,\n",
              "  980,\n",
              "  3754,\n",
              "  3769,\n",
              "  3784,\n",
              "  3799,\n",
              "  3814,\n",
              "  3829,\n",
              "  3845,\n",
              "  3860,\n",
              "  3875,\n",
              "  3890,\n",
              "  3904,\n",
              "  3919},\n",
              " 980: {965,\n",
              "  979,\n",
              "  981,\n",
              "  3934,\n",
              "  3949,\n",
              "  3964,\n",
              "  3979,\n",
              "  3994,\n",
              "  4009,\n",
              "  4025,\n",
              "  4040,\n",
              "  4055,\n",
              "  4070,\n",
              "  4084,\n",
              "  4099},\n",
              " 981: {966,\n",
              "  980,\n",
              "  982,\n",
              "  4114,\n",
              "  4129,\n",
              "  4144,\n",
              "  4159,\n",
              "  4174,\n",
              "  4189,\n",
              "  4205,\n",
              "  4220,\n",
              "  4235,\n",
              "  4250,\n",
              "  4264,\n",
              "  4279},\n",
              " 982: {967,\n",
              "  981,\n",
              "  983,\n",
              "  4294,\n",
              "  4309,\n",
              "  4324,\n",
              "  4339,\n",
              "  4354,\n",
              "  4369,\n",
              "  4385,\n",
              "  4400,\n",
              "  4415,\n",
              "  4430,\n",
              "  4444,\n",
              "  4459},\n",
              " 983: {968,\n",
              "  982,\n",
              "  984,\n",
              "  4474,\n",
              "  4489,\n",
              "  4504,\n",
              "  4519,\n",
              "  4534,\n",
              "  4549,\n",
              "  4565,\n",
              "  4580,\n",
              "  4595,\n",
              "  4610,\n",
              "  4624,\n",
              "  4639},\n",
              " 984: {969,\n",
              "  983,\n",
              "  985,\n",
              "  4654,\n",
              "  4669,\n",
              "  4684,\n",
              "  4699,\n",
              "  4714,\n",
              "  4729,\n",
              "  4745,\n",
              "  4760,\n",
              "  4775,\n",
              "  4790,\n",
              "  4804,\n",
              "  4819},\n",
              " 985: {970,\n",
              "  984,\n",
              "  986,\n",
              "  4834,\n",
              "  4849,\n",
              "  4864,\n",
              "  4879,\n",
              "  4894,\n",
              "  4909,\n",
              "  4925,\n",
              "  4940,\n",
              "  4955,\n",
              "  4970,\n",
              "  4984,\n",
              "  4999},\n",
              " 986: {971,\n",
              "  985,\n",
              "  987,\n",
              "  5014,\n",
              "  5029,\n",
              "  5044,\n",
              "  5059,\n",
              "  5074,\n",
              "  5089,\n",
              "  5105,\n",
              "  5120,\n",
              "  5135,\n",
              "  5150,\n",
              "  5164,\n",
              "  5179},\n",
              " 987: {972,\n",
              "  986,\n",
              "  988,\n",
              "  5194,\n",
              "  5209,\n",
              "  5224,\n",
              "  5239,\n",
              "  5254,\n",
              "  5269,\n",
              "  5285,\n",
              "  5300,\n",
              "  5315,\n",
              "  5330,\n",
              "  5344,\n",
              "  5359},\n",
              " 988: {973,\n",
              "  987,\n",
              "  989,\n",
              "  5374,\n",
              "  5389,\n",
              "  5404,\n",
              "  5419,\n",
              "  5434,\n",
              "  5449,\n",
              "  5465,\n",
              "  5480,\n",
              "  5495,\n",
              "  5510,\n",
              "  5524,\n",
              "  5539},\n",
              " 989: {974,\n",
              "  988,\n",
              "  5554,\n",
              "  5569,\n",
              "  5584,\n",
              "  5599,\n",
              "  5614,\n",
              "  5629,\n",
              "  5645,\n",
              "  5660,\n",
              "  5675,\n",
              "  5690,\n",
              "  5704,\n",
              "  5719},\n",
              " 990: {991,\n",
              "  1005,\n",
              "  3034,\n",
              "  3049,\n",
              "  3065,\n",
              "  3080,\n",
              "  3095,\n",
              "  3110,\n",
              "  3125,\n",
              "  3140,\n",
              "  3155,\n",
              "  3170,\n",
              "  3184,\n",
              "  3199},\n",
              " 991: {990,\n",
              "  992,\n",
              "  1006,\n",
              "  3214,\n",
              "  3229,\n",
              "  3245,\n",
              "  3260,\n",
              "  3275,\n",
              "  3290,\n",
              "  3305,\n",
              "  3320,\n",
              "  3335,\n",
              "  3350,\n",
              "  3364,\n",
              "  3379},\n",
              " 992: {991,\n",
              "  993,\n",
              "  1007,\n",
              "  3394,\n",
              "  3409,\n",
              "  3425,\n",
              "  3440,\n",
              "  3455,\n",
              "  3470,\n",
              "  3485,\n",
              "  3500,\n",
              "  3515,\n",
              "  3530,\n",
              "  3544,\n",
              "  3559},\n",
              " 993: {992,\n",
              "  994,\n",
              "  1008,\n",
              "  3574,\n",
              "  3589,\n",
              "  3605,\n",
              "  3620,\n",
              "  3635,\n",
              "  3650,\n",
              "  3665,\n",
              "  3680,\n",
              "  3695,\n",
              "  3710,\n",
              "  3724,\n",
              "  3739},\n",
              " 994: {993,\n",
              "  995,\n",
              "  1009,\n",
              "  3754,\n",
              "  3769,\n",
              "  3785,\n",
              "  3800,\n",
              "  3815,\n",
              "  3830,\n",
              "  3845,\n",
              "  3860,\n",
              "  3875,\n",
              "  3890,\n",
              "  3904,\n",
              "  3919},\n",
              " 995: {994,\n",
              "  996,\n",
              "  1010,\n",
              "  3934,\n",
              "  3949,\n",
              "  3965,\n",
              "  3980,\n",
              "  3995,\n",
              "  4010,\n",
              "  4025,\n",
              "  4040,\n",
              "  4055,\n",
              "  4070,\n",
              "  4084,\n",
              "  4099},\n",
              " 996: {995,\n",
              "  997,\n",
              "  1011,\n",
              "  4114,\n",
              "  4129,\n",
              "  4145,\n",
              "  4160,\n",
              "  4175,\n",
              "  4190,\n",
              "  4205,\n",
              "  4220,\n",
              "  4235,\n",
              "  4250,\n",
              "  4264,\n",
              "  4279},\n",
              " 997: {996,\n",
              "  998,\n",
              "  1012,\n",
              "  4294,\n",
              "  4309,\n",
              "  4325,\n",
              "  4340,\n",
              "  4355,\n",
              "  4370,\n",
              "  4385,\n",
              "  4400,\n",
              "  4415,\n",
              "  4430,\n",
              "  4444,\n",
              "  4459},\n",
              " 998: {997,\n",
              "  999,\n",
              "  1013,\n",
              "  4474,\n",
              "  4489,\n",
              "  4505,\n",
              "  4520,\n",
              "  4535,\n",
              "  4550,\n",
              "  4565,\n",
              "  4580,\n",
              "  4595,\n",
              "  4610,\n",
              "  4624,\n",
              "  4639},\n",
              " 999: {998,\n",
              "  1000,\n",
              "  1014,\n",
              "  4654,\n",
              "  4669,\n",
              "  4685,\n",
              "  4700,\n",
              "  4715,\n",
              "  4730,\n",
              "  4745,\n",
              "  4760,\n",
              "  4775,\n",
              "  4790,\n",
              "  4804,\n",
              "  4819},\n",
              " 1000: {999,\n",
              "  1001,\n",
              "  1015,\n",
              "  4834,\n",
              "  4849,\n",
              "  4865,\n",
              "  4880,\n",
              "  4895,\n",
              "  4910,\n",
              "  4925,\n",
              "  4940,\n",
              "  4955,\n",
              "  4970,\n",
              "  4984,\n",
              "  4999},\n",
              " 1001: {1000,\n",
              "  1002,\n",
              "  1016,\n",
              "  5014,\n",
              "  5029,\n",
              "  5045,\n",
              "  5060,\n",
              "  5075,\n",
              "  5090,\n",
              "  5105,\n",
              "  5120,\n",
              "  5135,\n",
              "  5150,\n",
              "  5164,\n",
              "  5179},\n",
              " 1002: {1001,\n",
              "  1003,\n",
              "  1017,\n",
              "  5194,\n",
              "  5209,\n",
              "  5225,\n",
              "  5240,\n",
              "  5255,\n",
              "  5270,\n",
              "  5285,\n",
              "  5300,\n",
              "  5315,\n",
              "  5330,\n",
              "  5344,\n",
              "  5359},\n",
              " 1003: {1002,\n",
              "  1004,\n",
              "  1018,\n",
              "  5374,\n",
              "  5389,\n",
              "  5405,\n",
              "  5420,\n",
              "  5435,\n",
              "  5450,\n",
              "  5465,\n",
              "  5480,\n",
              "  5495,\n",
              "  5510,\n",
              "  5524,\n",
              "  5539},\n",
              " 1004: {1003,\n",
              "  1019,\n",
              "  5554,\n",
              "  5569,\n",
              "  5585,\n",
              "  5600,\n",
              "  5615,\n",
              "  5630,\n",
              "  5645,\n",
              "  5660,\n",
              "  5675,\n",
              "  5690,\n",
              "  5704,\n",
              "  5719},\n",
              " 1005: {990,\n",
              "  1006,\n",
              "  3034,\n",
              "  3049,\n",
              "  3065,\n",
              "  3080,\n",
              "  3095,\n",
              "  3110,\n",
              "  3125,\n",
              "  3140,\n",
              "  3155,\n",
              "  3170,\n",
              "  3184,\n",
              "  3199},\n",
              " 1006: {991,\n",
              "  1005,\n",
              "  1007,\n",
              "  3214,\n",
              "  3229,\n",
              "  3245,\n",
              "  3260,\n",
              "  3275,\n",
              "  3290,\n",
              "  3305,\n",
              "  3320,\n",
              "  3335,\n",
              "  3350,\n",
              "  3364,\n",
              "  3379},\n",
              " 1007: {992,\n",
              "  1006,\n",
              "  1008,\n",
              "  3394,\n",
              "  3409,\n",
              "  3425,\n",
              "  3440,\n",
              "  3455,\n",
              "  3470,\n",
              "  3485,\n",
              "  3500,\n",
              "  3515,\n",
              "  3530,\n",
              "  3544,\n",
              "  3559},\n",
              " 1008: {993,\n",
              "  1007,\n",
              "  1009,\n",
              "  3574,\n",
              "  3589,\n",
              "  3605,\n",
              "  3620,\n",
              "  3635,\n",
              "  3650,\n",
              "  3665,\n",
              "  3680,\n",
              "  3695,\n",
              "  3710,\n",
              "  3724,\n",
              "  3739},\n",
              " 1009: {994,\n",
              "  1008,\n",
              "  1010,\n",
              "  3754,\n",
              "  3769,\n",
              "  3785,\n",
              "  3800,\n",
              "  3815,\n",
              "  3830,\n",
              "  3845,\n",
              "  3860,\n",
              "  3875,\n",
              "  3890,\n",
              "  3904,\n",
              "  3919},\n",
              " 1010: {995,\n",
              "  1009,\n",
              "  1011,\n",
              "  3934,\n",
              "  3949,\n",
              "  3965,\n",
              "  3980,\n",
              "  3995,\n",
              "  4010,\n",
              "  4025,\n",
              "  4040,\n",
              "  4055,\n",
              "  4070,\n",
              "  4084,\n",
              "  4099},\n",
              " 1011: {996,\n",
              "  1010,\n",
              "  1012,\n",
              "  4114,\n",
              "  4129,\n",
              "  4145,\n",
              "  4160,\n",
              "  4175,\n",
              "  4190,\n",
              "  4205,\n",
              "  4220,\n",
              "  4235,\n",
              "  4250,\n",
              "  4264,\n",
              "  4279},\n",
              " 1012: {997,\n",
              "  1011,\n",
              "  1013,\n",
              "  4294,\n",
              "  4309,\n",
              "  4325,\n",
              "  4340,\n",
              "  4355,\n",
              "  4370,\n",
              "  4385,\n",
              "  4400,\n",
              "  4415,\n",
              "  4430,\n",
              "  4444,\n",
              "  4459},\n",
              " 1013: {998,\n",
              "  1012,\n",
              "  1014,\n",
              "  4474,\n",
              "  4489,\n",
              "  4505,\n",
              "  4520,\n",
              "  4535,\n",
              "  4550,\n",
              "  4565,\n",
              "  4580,\n",
              "  4595,\n",
              "  4610,\n",
              "  4624,\n",
              "  4639},\n",
              " 1014: {999,\n",
              "  1013,\n",
              "  1015,\n",
              "  4654,\n",
              "  4669,\n",
              "  4685,\n",
              "  4700,\n",
              "  4715,\n",
              "  4730,\n",
              "  4745,\n",
              "  4760,\n",
              "  4775,\n",
              "  4790,\n",
              "  4804,\n",
              "  4819},\n",
              " 1015: {1000,\n",
              "  1014,\n",
              "  1016,\n",
              "  4834,\n",
              "  4849,\n",
              "  4865,\n",
              "  4880,\n",
              "  4895,\n",
              "  4910,\n",
              "  4925,\n",
              "  4940,\n",
              "  4955,\n",
              "  4970,\n",
              "  4984,\n",
              "  4999},\n",
              " 1016: {1001,\n",
              "  1015,\n",
              "  1017,\n",
              "  5014,\n",
              "  5029,\n",
              "  5045,\n",
              "  5060,\n",
              "  5075,\n",
              "  5090,\n",
              "  5105,\n",
              "  5120,\n",
              "  5135,\n",
              "  5150,\n",
              "  5164,\n",
              "  5179},\n",
              " 1017: {1002,\n",
              "  1016,\n",
              "  1018,\n",
              "  5194,\n",
              "  5209,\n",
              "  5225,\n",
              "  5240,\n",
              "  5255,\n",
              "  5270,\n",
              "  5285,\n",
              "  5300,\n",
              "  5315,\n",
              "  5330,\n",
              "  5344,\n",
              "  5359},\n",
              " 1018: {1003,\n",
              "  1017,\n",
              "  1019,\n",
              "  5374,\n",
              "  5389,\n",
              "  5405,\n",
              "  5420,\n",
              "  5435,\n",
              "  5450,\n",
              "  5465,\n",
              "  5480,\n",
              "  5495,\n",
              "  5510,\n",
              "  5524,\n",
              "  5539},\n",
              " 1019: {1004,\n",
              "  1018,\n",
              "  5554,\n",
              "  5569,\n",
              "  5585,\n",
              "  5600,\n",
              "  5615,\n",
              "  5630,\n",
              "  5645,\n",
              "  5660,\n",
              "  5675,\n",
              "  5690,\n",
              "  5704,\n",
              "  5719},\n",
              " 1020: {1021,\n",
              "  1035,\n",
              "  2975,\n",
              "  2990,\n",
              "  3004,\n",
              "  3019,\n",
              "  3034,\n",
              "  3049,\n",
              "  3065,\n",
              "  3080,\n",
              "  3095,\n",
              "  3110,\n",
              "  3125,\n",
              "  3140},\n",
              " 1021: {1020,\n",
              "  1022,\n",
              "  1036,\n",
              "  3155,\n",
              "  3170,\n",
              "  3184,\n",
              "  3199,\n",
              "  3214,\n",
              "  3229,\n",
              "  3245,\n",
              "  3260,\n",
              "  3275,\n",
              "  3290,\n",
              "  3305,\n",
              "  3320},\n",
              " 1022: {1021,\n",
              "  1023,\n",
              "  1037,\n",
              "  3335,\n",
              "  3350,\n",
              "  3364,\n",
              "  3379,\n",
              "  3394,\n",
              "  3409,\n",
              "  3425,\n",
              "  3440,\n",
              "  3455,\n",
              "  3470,\n",
              "  3485,\n",
              "  3500},\n",
              " 1023: {1022,\n",
              "  1024,\n",
              "  1038,\n",
              "  3515,\n",
              "  3530,\n",
              "  3544,\n",
              "  3559,\n",
              "  3574,\n",
              "  3589,\n",
              "  3605,\n",
              "  3620,\n",
              "  3635,\n",
              "  3650,\n",
              "  3665,\n",
              "  3680},\n",
              " 1024: {1023,\n",
              "  1025,\n",
              "  1039,\n",
              "  3695,\n",
              "  3710,\n",
              "  3724,\n",
              "  3739,\n",
              "  3754,\n",
              "  3769,\n",
              "  3785,\n",
              "  3800,\n",
              "  3815,\n",
              "  3830,\n",
              "  3845,\n",
              "  3860},\n",
              " 1025: {1024,\n",
              "  1026,\n",
              "  1040,\n",
              "  3875,\n",
              "  3890,\n",
              "  3904,\n",
              "  3919,\n",
              "  3934,\n",
              "  3949,\n",
              "  3965,\n",
              "  3980,\n",
              "  3995,\n",
              "  4010,\n",
              "  4025,\n",
              "  4040},\n",
              " 1026: {1025,\n",
              "  1027,\n",
              "  1041,\n",
              "  4055,\n",
              "  4070,\n",
              "  4084,\n",
              "  4099,\n",
              "  4114,\n",
              "  4129,\n",
              "  4145,\n",
              "  4160,\n",
              "  4175,\n",
              "  4190,\n",
              "  4205,\n",
              "  4220},\n",
              " 1027: {1026,\n",
              "  1028,\n",
              "  1042,\n",
              "  4235,\n",
              "  4250,\n",
              "  4264,\n",
              "  4279,\n",
              "  4294,\n",
              "  4309,\n",
              "  4325,\n",
              "  4340,\n",
              "  4355,\n",
              "  4370,\n",
              "  4385,\n",
              "  4400},\n",
              " 1028: {1027,\n",
              "  1029,\n",
              "  1043,\n",
              "  4415,\n",
              "  4430,\n",
              "  4444,\n",
              "  4459,\n",
              "  4474,\n",
              "  4489,\n",
              "  4505,\n",
              "  4520,\n",
              "  4535,\n",
              "  4550,\n",
              "  4565,\n",
              "  4580},\n",
              " 1029: {1028,\n",
              "  1030,\n",
              "  1044,\n",
              "  4595,\n",
              "  4610,\n",
              "  4624,\n",
              "  4639,\n",
              "  4654,\n",
              "  4669,\n",
              "  4685,\n",
              "  4700,\n",
              "  4715,\n",
              "  4730,\n",
              "  4745,\n",
              "  4760},\n",
              " 1030: {1029,\n",
              "  1031,\n",
              "  1045,\n",
              "  4775,\n",
              "  4790,\n",
              "  4804,\n",
              "  4819,\n",
              "  4834,\n",
              "  4849,\n",
              "  4865,\n",
              "  4880,\n",
              "  4895,\n",
              "  4910,\n",
              "  4925,\n",
              "  4940},\n",
              " ...}"
            ]
          },
          "metadata": {},
          "execution_count": 23
        }
      ],
      "source": [
        "sampler=DWaveSampler(solver='Advantage_system4.1')\n",
        "sampler.adjacency"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {
        "id": "7a86GTY-CcQA",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "3faebb77-df1d-44a5-9e73-96821e379ed1"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{6, 7, 10, 11, 12, 13, 14, 15}\n"
          ]
        }
      ],
      "source": [
        "print(set([len(sampler.adjacency[i]) for i in sampler.adjacency]))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fjzYRArBOpkV"
      },
      "source": [
        "### Embeddings"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 25,
      "metadata": {
        "id": "EEgmV8KRKaAN",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "f3cefbcc-a262-4dab-8f5d-2aeddf592d45"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The samples obtained are\n",
            "   0  1  2 energy num_oc. chain_.\n",
            "0 -1 +1 -1   -1.0       1     0.0\n",
            "1 +1 -1 +1   -1.0       1     0.0\n",
            "2 +1 +1 -1   -1.0       1     0.0\n",
            "3 -1 +1 +1   -1.0       5     0.0\n",
            "4 -1 -1 +1   -1.0       2     0.0\n",
            "['SPIN', 5 rows, 10 samples, 3 variables]\n",
            "The embedding used was\n",
            "{'embedding': {1: (981,), 0: (977,), 2: (979, 982)}, 'chain_break_method': 'majority_vote', 'embedding_parameters': {}, 'chain_strength': 1.9996979771955565}\n"
          ]
        }
      ],
      "source": [
        "J = {(0,1):1, (0,2):1, (1,2):1}\n",
        "h = {}\n",
        "triangle = dimod.BinaryQuadraticModel(h, J, 0.0, dimod.SPIN)\n",
        "# Embed it and solve it on the DW_2000Q_6 annealer\n",
        "sampler = EmbeddingComposite(DWaveSampler(solver = \"DW_2000Q_6\"))\n",
        "result = sampler.sample(triangle, num_reads=10, \n",
        "    return_embedding = True)\n",
        "print(\"The samples obtained are\")\n",
        "print(result)\n",
        "print(\"The embedding used was\")\n",
        "print(result.info[\"embedding_context\"])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3R5Z0-9rO1xB"
      },
      "source": [
        "##1.4- Annealing parameters"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "cq4bKaMkSV6V"
      },
      "source": [
        "### Annealing time"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "metadata": {
        "id": "P2dR7J0VO4fp",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "2d1a9d77-89fd-4395-bb38-4063e1a1b50f"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The default annealing time is 20.0 microseconds\n",
            "The possible values for the annealing time (in microseconds) lie in the range [0.5, 2000.0]\n"
          ]
        }
      ],
      "source": [
        "sampler = DWaveSampler(solver = \"Advantage_system4.1\")\n",
        "print(\"The default annealing time is\",\n",
        "    sampler.properties[\"default_annealing_time\"],\"microseconds\")\n",
        "print(\"The possible values for the annealing time (in microseconds)\"\\\n",
        "    \" lie in the range\",sampler.properties[\"annealing_time_range\"])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 27,
      "metadata": {
        "id": "A2KCp4N5ST9_",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "c347b978-8eb0-4fed-ed60-14390418d2eb"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The samples obtained are\n",
            "   0  1  2 energy num_oc. chain_.\n",
            "0 -1 -1 +1   -1.0       2     0.0\n",
            "1 -1 +1 -1   -1.0       1     0.0\n",
            "2 +1 +1 -1   -1.0       1     0.0\n",
            "3 +1 -1 +1   -1.0       2     0.0\n",
            "4 +1 -1 -1   -1.0       1     0.0\n",
            "5 -1 +1 +1   -1.0       3     0.0\n",
            "['SPIN', 6 rows, 10 samples, 3 variables]\n"
          ]
        }
      ],
      "source": [
        "J = {(0,1):1, (0,2):1, (1,2):1}\n",
        "h = {}\n",
        "triangle = dimod.BinaryQuadraticModel(h, J, 0.0, dimod.SPIN)\n",
        "sampler = EmbeddingComposite(DWaveSampler(solver = \"DW_2000Q_6\"))\n",
        "result = sampler.sample(triangle, num_reads=10, annealing_time = 100)\n",
        "print(\"The samples obtained are\")\n",
        "print(result)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3pjJFq0gSmdF"
      },
      "source": [
        "### Annealing schedules"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 28,
      "metadata": {
        "id": "83EDzWWISbyu",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "daf93020-f6bb-40bd-fac1-ca2b3eb4af2d"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "   0  1  2 energy num_oc. chain_.\n",
            "0 -1 -1 +1   -1.0       1     0.0\n",
            "1 -1 +1 -1   -1.0       2     0.0\n",
            "2 -1 +1 +1   -1.0       1     0.0\n",
            "3 +1 -1 -1   -1.0       1     0.0\n",
            "4 +1 +1 -1   -1.0       1     0.0\n",
            "5 +1 -1 +1   -1.0       4     0.0\n",
            "['SPIN', 6 rows, 10 samples, 3 variables]\n"
          ]
        }
      ],
      "source": [
        "forward_schedule=[[0.0, 0.0], [5.0, 0.25], [25, 0.75], [30, 1.0]]\n",
        "sampler = EmbeddingComposite(DWaveSampler())\n",
        "result = sampler.sample(triangle, num_reads=10, \n",
        "    anneal_schedule = forward_schedule)\n",
        "print(result)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 29,
      "metadata": {
        "id": "dFuK9HzhSvsZ",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "e20b85c1-cb05-499c-975c-02713b2ed3ad"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The samples obtained are\n",
            "   0  1  2 energy num_oc. chain_.\n",
            "0 +1 -1 +1   -1.0       1     0.0\n",
            "1 +1 -1 +1   -1.0       1     0.0\n",
            "2 +1 +1 -1   -1.0       1     0.0\n",
            "3 +1 -1 -1   -1.0       1     0.0\n",
            "4 +1 -1 -1   -1.0       1     0.0\n",
            "5 -1 -1 +1   -1.0       1     0.0\n",
            "6 +1 -1 +1   -1.0       1     0.0\n",
            "7 +1 +1 -1   -1.0       1     0.0\n",
            "8 -1 -1 +1   -1.0       1     0.0\n",
            "9 +1 -1 +1   -1.0       1     0.0\n",
            "['SPIN', 10 rows, 10 samples, 3 variables]\n"
          ]
        }
      ],
      "source": [
        "reverse_schedule=[[0.0, 1.0], [10.0, 0.5], [20, 1.0]]\n",
        "initial_state = {0:1, 1:1, 2:1}\n",
        "sampler = EmbeddingComposite(DWaveSampler())\n",
        "result = sampler.sample(triangle, num_reads=10, \n",
        "    anneal_schedule = reverse_schedule,\n",
        "    reinitialize_state=False, initial_state = initial_state)\n",
        "print(\"The samples obtained are\")\n",
        "print(result)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pNi6_miNTGZy"
      },
      "source": [
        "### Coupling strength"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 30,
      "metadata": {
        "id": "AxXYiKztTCYf",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "700052f9-440d-4ddd-9ba2-b8910ebe4815"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The coupling strength range is [-4.0, 4.0]\n"
          ]
        }
      ],
      "source": [
        "sampler = DWaveSampler(\"Advantage_system4.1\")\n",
        "print(\"The coupling strength range is\", sampler.properties[\"h_range\"])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 31,
      "metadata": {
        "id": "OTGwO9H8TLAA",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "51bac5cb-3b04-4d23-c98b-54203b6d4574"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The solutions to the original problem are\n",
            "  x0 x1 x2 energy num_oc. is_sat. is_fea.\n",
            "0  1  0  0   -5.0      26 arra...    True\n",
            "1  0  0  1   -2.0      24 arra...    True\n",
            "2  1  1  0   -2.0      15 arra...    True\n",
            "3  0  0  0    0.0      16 arra...    True\n",
            "4  0  1  1    1.0      14 arra...    True\n",
            "5  0  1  0    3.0       3 arra...    True\n",
            "['INTEGER', 6 rows, 98 samples, 3 variables]\n"
          ]
        }
      ],
      "source": [
        "sampler = EmbeddingComposite(DWaveSampler(\"Advantage_system4.1\"))\n",
        "# Define the problem\n",
        "x0 = dimod.Binary(\"x0\")\n",
        "x1 = dimod.Binary(\"x1\")\n",
        "x2 = dimod.Binary(\"x2\")\n",
        "blp = dimod.ConstrainedQuadraticModel()\n",
        "blp.set_objective(-5*x0+3*x1-2*x2)\n",
        "blp.add_constraint(x0 + x2 <= 1, \"First constraint\")\n",
        "blp.add_constraint(3*x0 -x1 + 3*x2 <= 4, \"Second constraint\")\n",
        "# Convert the problem and run it\n",
        "qubo, invert = dimod.cqm_to_bqm(blp, lagrange_multiplier = 10)\n",
        "result = sampler.sample(qubo, num_reads=100)\n",
        "# Aggregate and show the results\n",
        "samples = []\n",
        "occurrences = []\n",
        "for s in result.data():\n",
        "    samples.append(invert(s.sample))\n",
        "    occurrences.append(s.num_occurrences)\n",
        "sampleset = dimod.SampleSet.from_samples_cqm(samples,blp,\n",
        "    num_occurrences=occurrences)\n",
        "print(\"The solutions to the original problem are\")\n",
        "print(sampleset.filter(lambda s: s.is_feasible).aggregate())"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 32,
      "metadata": {
        "id": "6h_jF4-aTOhu",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "0f92e1bf-6239-4638-a0db-4052dd417b30"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The solutions to the original problem are\n",
            "  x0 x1 x2 energy num_oc. is_sat. is_fea.\n",
            "0  1  0  0   -5.0      29 arra...    True\n",
            "1  0  0  1   -2.0      13 arra...    True\n",
            "2  1  1  0   -2.0      28 arra...    True\n",
            "5  0  0  0    0.0       2 arra...    True\n",
            "3  0  1  1    1.0      16 arra...    True\n",
            "4  0  1  0    3.0       6 arra...    True\n",
            "['INTEGER', 6 rows, 94 samples, 3 variables]\n"
          ]
        }
      ],
      "source": [
        "sampler = EmbeddingComposite(DWaveSampler(\"Advantage_system4.1\"))\n",
        "# Define the problem\n",
        "x0 = dimod.Binary(\"x0\")\n",
        "x1 = dimod.Binary(\"x1\")\n",
        "x2 = dimod.Binary(\"x2\")\n",
        "blp = dimod.ConstrainedQuadraticModel()\n",
        "blp.set_objective(-5*x0+3*x1-2*x2)\n",
        "blp.add_constraint(x0 + x2 <= 1, \"First constraint\")\n",
        "blp.add_constraint(3*x0 -x1 + 3*x2 <= 4, \"Second constraint\")\n",
        "# Convert the problem and run it\n",
        "qubo, invert = dimod.cqm_to_bqm(blp, lagrange_multiplier = 4)\n",
        "result = sampler.sample(qubo, num_reads=100)\n",
        "# Aggregate and show the results\n",
        "samples = []\n",
        "occurrences = []\n",
        "for s in result.data():\n",
        "    samples.append(invert(s.sample))\n",
        "    occurrences.append(s.num_occurrences)\n",
        "sampleset = dimod.SampleSet.from_samples_cqm(samples,blp,\n",
        "    num_occurrences=occurrences)\n",
        "print(\"The solutions to the original problem are\")\n",
        "print(sampleset.filter(lambda s: s.is_feasible).aggregate())"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 33,
      "metadata": {
        "id": "yugPnBT8TyYK",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "9f3b66bb-32c6-400b-a375-d69be507bfdd"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The solutions to the original problem are\n",
            "  x0 x1 x2 energy num_oc. is_sat. is_fea.\n",
            "0  1  0  0   -5.0      62 arra...    True\n",
            "1  1  1  0   -2.0       3 arra...    True\n",
            "2  0  0  1   -2.0      21 arra...    True\n",
            "3  0  0  0    0.0       4 arra...    True\n",
            "4  0  1  1    1.0       3 arra...    True\n",
            "['INTEGER', 5 rows, 93 samples, 3 variables]\n"
          ]
        }
      ],
      "source": [
        "sampler = EmbeddingComposite(DWaveSampler(\"Advantage_system4.1\"))\n",
        "# Define the problem\n",
        "x0 = dimod.Binary(\"x0\")\n",
        "x1 = dimod.Binary(\"x1\")\n",
        "x2 = dimod.Binary(\"x2\")\n",
        "blp = dimod.ConstrainedQuadraticModel()\n",
        "blp.set_objective(-5*x0+3*x1-2*x2)\n",
        "blp.add_constraint(x0 + x2 <= 1, \"First constraint\")\n",
        "blp.add_constraint(3*x0 -x1 + 3*x2 <= 4, \"Second constraint\")\n",
        "# Convert the problem and run it\n",
        "qubo, invert = dimod.cqm_to_bqm(blp, lagrange_multiplier = 1)\n",
        "result = sampler.sample(qubo, num_reads=100)\n",
        "# Aggregate and show the results\n",
        "samples = []\n",
        "occurrences = []\n",
        "for s in result.data():\n",
        "    samples.append(invert(s.sample))\n",
        "    occurrences.append(s.num_occurrences)\n",
        "sampleset = dimod.SampleSet.from_samples_cqm(samples,blp,\n",
        "    num_occurrences=occurrences)\n",
        "print(\"The solutions to the original problem are\")\n",
        "print(sampleset.filter(lambda s: s.is_feasible).aggregate())"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "VjxKttHrcg96"
      },
      "source": [
        "##1.5- Classic and hybrid solvers"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 34,
      "metadata": {
        "id": "N4qqAHtsT67O",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "6346845d-c9b2-4ba2-82fc-57cf7b9eeac5"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "   0  1  2  3 energy num_oc. num_st.\n",
            "0 -1 +1 -1 +1   -4.0       6       1\n",
            "2 +1 -1 +1 -1   -4.0       3       1\n",
            "1 -1 +1 +1 -1    0.0       1       0\n",
            "['SPIN', 3 rows, 10 samples, 4 variables]\n"
          ]
        }
      ],
      "source": [
        "import greedy\n",
        "import dimod\n",
        "# Define the problem\n",
        "J = {(0,1):1, (1,2):1, (2,3):1, (3,0):1}\n",
        "h = {}\n",
        "problem = dimod.BinaryQuadraticModel(h, J, 0.0, dimod.SPIN)\n",
        "# Sample with SteepestDescentSolver\n",
        "solver = greedy.SteepestDescentSolver()\n",
        "solution = solver.sample(problem, num_reads = 10)\n",
        "print(solution.aggregate())"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 35,
      "metadata": {
        "id": "hwQiJdTRcvTG",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "b330e927-acea-4865-e17f-bfd2f7c26eda"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "   0  1  2  3 energy num_oc. num_re.\n",
            "0 -1 +1 -1 +1   -4.0       3       1\n",
            "1 +1 -1 +1 -1   -4.0       7       2\n",
            "['SPIN', 2 rows, 10 samples, 4 variables]\n"
          ]
        }
      ],
      "source": [
        "import tabu \n",
        "solver = tabu.TabuSampler()\n",
        "solution = solver.sample(problem, num_reads = 10)\n",
        "print(solution.aggregate())"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 36,
      "metadata": {
        "id": "vt3faSCCczWk",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "8c8170f1-742b-4770-e67d-5b140f809f62"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "   0  1  2  3 energy num_oc.\n",
            "3 -1 +1 -1 +1   -4.0       1\n",
            "6 +1 -1 +1 -1   -4.0       2\n",
            "0 -1 +1 +1 +1    0.0       3\n",
            "1 +1 +1 +1 -1    0.0       1\n",
            "2 -1 -1 -1 +1    0.0       1\n",
            "4 -1 -1 +1 +1    0.0       1\n",
            "5 +1 -1 -1 -1    0.0       1\n",
            "['SPIN', 7 rows, 10 samples, 4 variables]\n"
          ]
        }
      ],
      "source": [
        "import neal \n",
        "solver = neal.SimulatedAnnealingSampler()\n",
        "solution = solver.sample(problem, num_reads = 10)\n",
        "print(solution.aggregate())"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 37,
      "metadata": {
        "id": "lLDXlso8c2TB",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "fddc2a8b-8869-4fa4-98e6-c391f9dc13e3"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "   0  1  2  3 energy num_oc.\n",
            "0 +1 -1 +1 -1   -4.0       3\n",
            "1 -1 -1 -1 +1    0.0       1\n",
            "2 +1 +1 -1 -1    0.0       2\n",
            "3 +1 -1 -1 -1    0.0       2\n",
            "4 -1 +1 +1 +1    0.0       1\n",
            "5 -1 -1 +1 +1    0.0       1\n",
            "['SPIN', 6 rows, 10 samples, 4 variables]\n"
          ]
        }
      ],
      "source": [
        "import dwave.system \n",
        "sampler = dwave.system.LeapHybridSampler()\n",
        "solution = solver.sample(problem, num_reads = 10)\n",
        "print(solution.aggregate())"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 38,
      "metadata": {
        "id": "hqKTAHKcfXDS",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "82d0795a-c5c1-439d-b01c-00b316386e59"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "20"
            ]
          },
          "metadata": {},
          "execution_count": 38
        }
      ],
      "source": [
        "sampler.properties[\"quota_conversion_rate\"]"
      ]
    }
  ],
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}