4-parameter-estimation.ipynb

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 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Parameter Estimation for ODE Systems using Julia"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "using DifferentialEquations, Plots, Random\n",
    "using Optimization, SciMLSensitivity, Zygote, OptimizationOptimJL, LineSearches"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this example, we will reuse a slightly modified version of the homeostatic chemical reaction system from the ODE simulation example. We removed the external input and the sink term of A.\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "\\dot{A} &= \\frac{p_1}{1+C} - k_1A \\\\\n",
    "\\dot{B} &= k_1A - k_2B \\\\\n",
    "\\dot{C} &= \\frac{k_2B}{1+C} - c_1C  \\\\\n",
    "\\end{align}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "function chemsys!(du, u, p, t)\n",
    "    A, B, C = u\n",
    "    p1, k1, k2, c1 = p\n",
    "    du[1] = ((p1)./(1 .+C)) .- k1.*A\n",
    "    du[2] = k1.*A .- k2.*B\n",
    "    du[3] = (k2.*B)./(1 .+C) - c1.*C\n",
    "end;\n",
    "\n",
    "# parameters\n",
    "u0 = [1., 0., 0.]\n",
    "initial_p = [0.1, 0.15, 0.07, 0.12]\n",
    "tspan = (0., 500.)\n",
    "\n",
    "# and create an ode problem to solve\n",
    "problem = ODEProblem(chemsys!, u0, tspan, initial_p);"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As a first example, we will try to obtain a steady state of 0.3 for all three molecules after $t = 200$. At first, we have to define a loss function for optimization."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The initial loss is 164.14767806142876"
     ]
    }
   ],
   "source": [
    "steady_state_target = 0.3\n",
    "function loss(p) \n",
    "    # save the solution at every second until 500 seconds \n",
    "    solution = DifferentialEquations.solve(problem,Tsit5(), p=p, saveat=0:500)\n",
    "\n",
    "    u = Matrix(solution)\n",
    "\n",
    "    error = sum(abs2, u[:, 201:end].-steady_state_target)\n",
    "    return error, solution\n",
    "end\n",
    "\n",
    "print(\"The initial loss is $(loss(initial_p)[1])\")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We then define an optimization function. For this we first have to specify which algorithm we want to use for automatic differentiation (AD). Often, the AutoZygote option is a good choice. We then use this to define the OptimizationFunction, which takes a function and the AD type as arguments. The function should be a function of the parameters $x$ and the hyperparameters $p$. Because our loss function has no hyperparameters, we specify an anonymous function where the second argument is not used."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "adtype = Optimization.AutoZygote()\n",
    "optf   = Optimization.OptimizationFunction((x,p) -> loss(x), adtype);"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also define a small callback function to print the loss function value at every step."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "#3 (generic function with 1 method)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "callback = function (p, l, pred)\n",
    "    display(l)\n",
    "    # Tell Optimization.solve to not halt the optimization. If return true, then\n",
    "    # optimization stops.\n",
    "    return false\n",
    "end"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Time to optimize! The solver is taken from the OptimizationOptimJL library, where we choose the BFGS solver. We modify the solver a bit, changing the line search algorithm to 3rd-order backtracking, instead of the default Haeger-Zhang, as this results in less gradient calls and a faster optimization. "
   ]
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     "text": [
      "retcode: Success\n",
      "u: [0.07511851568652576, 0.1926117908302369, 0.19261143380784781, 0.1481631913117048]\n",
      "Final objective value:     2.756938857077448e-6\n"
     ]
    }
   ],
   "source": [
    "opt_problem = Optimization.OptimizationProblem(optf, initial_p, lb = [0.,0.,0.,0.], ub=[0.2,0.2,0.2,0.2]);\n",
    "sol     = Optimization.solve(opt_problem, BFGS(linesearch=BackTracking(order=3)), callback=callback)\n",
    "print(sol)"
   ]
  },
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   "source": [
    "We see that the optimization has succesfully found a solution within our boundaries and we decide to plot the solution."
   ]
  },
  {
   "cell_type": "code",
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1136.86,1003.66 1138.97,1003.96 1141.09,1004.25 1143.21,1004.54 1145.33,1004.82 \n  1147.45,1005.11 1149.57,1005.39 1151.68,1005.67 1153.8,1005.94 1155.92,1006.21 1158.04,1006.48 1160.16,1006.75 1162.28,1007.01 1164.39,1007.27 1166.51,1007.53 \n  1168.63,1007.79 1170.75,1008.04 1172.87,1008.29 1174.99,1008.54 1177.1,1008.78 1179.22,1009.02 1181.34,1009.26 1183.46,1009.5 1185.58,1009.73 1187.7,1009.96 \n  1189.81,1010.19 1191.93,1010.42 1194.05,1010.64 1196.17,1010.86 1198.29,1011.08 1200.4,1011.3 1202.52,1011.51 1204.64,1011.72 1206.76,1011.93 1208.88,1012.14 \n  1211,1012.34 1213.11,1012.54 1215.23,1012.74 1217.35,1012.94 1219.47,1013.13 1221.59,1013.32 1223.71,1013.51 1225.82,1013.7 1227.94,1013.89 1230.06,1014.07 \n  1232.18,1014.25 1234.3,1014.43 1236.42,1014.6 1238.53,1014.78 1240.65,1014.95 1242.77,1015.12 1244.89,1015.29 1247.01,1015.45 1249.13,1015.62 1251.24,1015.78 \n  1253.36,1015.94 1255.48,1016.1 1257.6,1016.25 1259.72,1016.4 1261.84,1016.56 1263.95,1016.71 1266.07,1016.85 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1399.52,1022.98 \n  1401.64,1023.03 1403.76,1023.09 1405.88,1023.14 1408,1023.19 1410.12,1023.25 1412.23,1023.3 1414.35,1023.35 1416.47,1023.4 1418.59,1023.44 1420.71,1023.49 \n  1422.83,1023.54 1424.94,1023.58 1427.06,1023.63 1429.18,1023.67 1431.3,1023.71 1433.42,1023.75 1435.54,1023.79 1437.65,1023.83 1439.77,1023.87 1441.89,1023.91 \n  1444.01,1023.95 1446.13,1023.99 1448.25,1024.02 1450.36,1024.06 1452.48,1024.09 1454.6,1024.12 1456.72,1024.16 1458.84,1024.19 1460.95,1024.22 1463.07,1024.25 \n  1465.19,1024.28 1467.31,1024.31 1469.43,1024.34 1471.55,1024.36 1473.66,1024.39 1475.78,1024.42 1477.9,1024.44 1480.02,1024.47 1482.14,1024.49 1484.26,1024.51 \n  1486.37,1024.54 1488.49,1024.56 1490.61,1024.58 1492.73,1024.6 1494.85,1024.62 1496.97,1024.64 1499.08,1024.66 1501.2,1024.68 1503.32,1024.7 1505.44,1024.71 \n  1507.56,1024.73 1509.68,1024.75 1511.79,1024.76 1513.91,1024.78 1516.03,1024.79 1518.15,1024.81 1520.27,1024.82 1522.39,1024.83 1524.5,1024.84 1526.62,1024.86 \n  1528.74,1024.87 1530.86,1024.88 1532.98,1024.89 1535.1,1024.9 1537.21,1024.91 1539.33,1024.92 1541.45,1024.93 1543.57,1024.94 1545.69,1024.94 1547.8,1024.95 \n  1549.92,1024.96 1552.04,1024.97 1554.16,1024.97 1556.28,1024.98 1558.4,1024.98 1560.51,1024.99 1562.63,1024.99 1564.75,1025 1566.87,1025 1568.99,1025 \n  1571.11,1025.01 1573.22,1025.01 1575.34,1025.01 1577.46,1025.01 1579.58,1025.02 1581.7,1025.02 1583.82,1025.02 1585.93,1025.02 1588.05,1025.02 1590.17,1025.02 \n  1592.29,1025.02 1594.41,1025.02 1596.53,1025.02 1598.64,1025.02 1600.76,1025.01 1602.88,1025.01 1605,1025.01 1607.12,1025.01 1609.24,1025.01 1611.35,1025 \n  1613.47,1025 1615.59,1025 1617.71,1024.99 1619.83,1024.99 1621.95,1024.98 1624.06,1024.98 1626.18,1024.97 1628.3,1024.97 1630.42,1024.96 1632.54,1024.96 \n  1634.65,1024.95 1636.77,1024.95 1638.89,1024.94 1641.01,1024.93 1643.13,1024.93 1645.25,1024.92 1647.36,1024.91 1649.48,1024.91 1651.6,1024.9 1653.72,1024.89 \n  1655.84,1024.88 1657.96,1024.88 1660.07,1024.87 1662.19,1024.86 1664.31,1024.85 1666.43,1024.84 1668.55,1024.83 1670.67,1024.82 1672.78,1024.82 1674.9,1024.81 \n  1677.02,1024.8 1679.14,1024.79 1681.26,1024.78 1683.38,1024.77 1685.49,1024.76 1687.61,1024.75 1689.73,1024.74 1691.85,1024.73 1693.97,1024.72 1696.09,1024.71 \n  1698.2,1024.7 1700.32,1024.68 1702.44,1024.67 1704.56,1024.66 1706.68,1024.65 1708.8,1024.64 1710.91,1024.63 1713.03,1024.62 1715.15,1024.61 1717.27,1024.59 \n  1719.39,1024.58 1721.5,1024.57 1723.62,1024.56 1725.74,1024.55 1727.86,1024.53 1729.98,1024.52 1732.1,1024.51 1734.21,1024.5 1736.33,1024.48 1738.45,1024.47 \n  1740.57,1024.46 1742.69,1024.45 1744.81,1024.43 1746.92,1024.42 1749.04,1024.41 1751.16,1024.4 1753.28,1024.38 1755.4,1024.37 1757.52,1024.36 1759.63,1024.34 \n  1761.75,1024.33 1763.87,1024.32 1765.99,1024.3 1768.11,1024.29 1770.23,1024.28 1772.34,1024.27 1774.46,1024.25 1776.58,1024.24 1778.7,1024.22 1780.82,1024.21 \n  1782.94,1024.2 1785.05,1024.18 1787.17,1024.17 1789.29,1024.16 1791.41,1024.14 1793.53,1024.13 1795.65,1024.12 1797.76,1024.1 1799.88,1024.09 1802,1024.08 \n  1804.12,1024.06 1806.24,1024.05 1808.35,1024.04 1810.47,1024.02 1812.59,1024.01 1814.71,1023.99 1816.83,1023.98 1818.95,1023.97 1821.06,1023.95 1823.18,1023.94 \n  1825.3,1023.93 1827.42,1023.91 1829.54,1023.9 1831.66,1023.89 1833.77,1023.87 1835.89,1023.86 1838.01,1023.84 1840.13,1023.83 1842.25,1023.82 1844.37,1023.8 \n  1846.48,1023.79 1848.6,1023.78 1850.72,1023.76 1852.84,1023.75 1854.96,1023.74 1857.08,1023.72 1859.19,1023.71 1861.31,1023.7 1863.43,1023.68 1865.55,1023.67 \n  1867.67,1023.66 1869.79,1023.64 1871.9,1023.63 1874.02,1023.62 1876.14,1023.6 1878.26,1023.59 1880.38,1023.58 1882.5,1023.56 1884.61,1023.55 1886.73,1023.54 \n  1888.85,1023.52 1890.97,1023.51 1893.09,1023.5 1895.2,1023.49 1897.32,1023.47 1899.44,1023.46 1901.56,1023.45 1903.68,1023.43 1905.8,1023.42 1907.91,1023.41 \n  1910.03,1023.4 1912.15,1023.38 1914.27,1023.37 1916.39,1023.36 1918.51,1023.35 1920.62,1023.33 1922.74,1023.32 1924.86,1023.31 1926.98,1023.3 1929.1,1023.28 \n  1931.22,1023.27 1933.33,1023.26 1935.45,1023.25 1937.57,1023.24 1939.69,1023.22 1941.81,1023.21 1943.93,1023.2 1946.04,1023.19 1948.16,1023.18 1950.28,1023.16 \n  1952.4,1023.15 1954.52,1023.14 1956.64,1023.13 1958.75,1023.12 1960.87,1023.11 1962.99,1023.1 1965.11,1023.08 1967.23,1023.07 1969.35,1023.06 1971.46,1023.05 \n  1973.58,1023.04 1975.7,1023.03 1977.82,1023.02 1979.94,1023.01 1982.05,1023 1984.17,1022.98 1986.29,1022.97 1988.41,1022.96 1990.53,1022.95 1992.65,1022.94 \n  1994.76,1022.93 1996.88,1022.92 1999,1022.91 2001.12,1022.9 2003.24,1022.89 2005.36,1022.88 2007.47,1022.87 2009.59,1022.86 2011.71,1022.85 2013.83,1022.84 \n  2015.95,1022.83 2018.07,1022.82 2020.18,1022.81 2022.3,1022.8 2024.42,1022.79 2026.54,1022.78 2028.66,1022.77 2030.78,1022.76 2032.89,1022.75 2035.01,1022.74 \n  2037.13,1022.73 2039.25,1022.72 2041.37,1022.71 2043.49,1022.7 2045.6,1022.69 2047.72,1022.68 2049.84,1022.67 2051.96,1022.66 2054.08,1022.65 2056.2,1022.64 \n  2058.31,1022.64 2060.43,1022.63 2062.55,1022.62 2064.67,1022.61 2066.79,1022.6 2068.9,1022.59 2071.02,1022.58 2073.14,1022.57 2075.26,1022.56 2077.38,1022.56 \n  2079.5,1022.55 2081.61,1022.54 2083.73,1022.53 2085.85,1022.52 2087.97,1022.51 2090.09,1022.5 2092.21,1022.5 2094.32,1022.49 2096.44,1022.48 2098.56,1022.47 \n  2100.68,1022.46 2102.8,1022.46 2104.92,1022.45 2107.03,1022.44 2109.15,1022.43 2111.27,1022.42 2113.39,1022.42 2115.51,1022.41 2117.63,1022.4 2119.74,1022.39 \n  2121.86,1022.39 2123.98,1022.38 2126.1,1022.37 2128.22,1022.36 2130.34,1022.36 2132.45,1022.35 2134.57,1022.34 2136.69,1022.33 2138.81,1022.33 2140.93,1022.32 \n  2143.04,1022.31 2145.16,1022.31 2147.28,1022.3 2149.4,1022.29 2151.52,1022.29 2153.64,1022.28 2155.75,1022.27 2157.87,1022.26 2159.99,1022.26 2162.11,1022.25 \n  2164.23,1022.25 2166.35,1022.24 2168.46,1022.23 2170.58,1022.23 2172.7,1022.22 2174.82,1022.21 2176.94,1022.21 2179.06,1022.2 2181.17,1022.2 2183.29,1022.19 \n  2185.41,1022.18 2187.53,1022.18 2189.65,1022.17 2191.77,1022.17 2193.88,1022.16 2196,1022.15 2198.12,1022.15 2200.24,1022.14 2202.36,1022.14 2204.48,1022.13 \n  2206.59,1022.13 2208.71,1022.12 2210.83,1022.12 2212.95,1022.11 2215.07,1022.1 2217.19,1022.1 2219.3,1022.09 2221.42,1022.09 2223.54,1022.08 2225.66,1022.08 \n  2227.78,1022.07 2229.89,1022.07 2232.01,1022.06 2234.13,1022.06 2236.25,1022.05 2238.37,1022.05 2240.49,1022.05 2242.6,1022.04 2244.72,1022.04 2246.84,1022.03 \n  2248.96,1022.03 2251.08,1022.02 2253.2,1022.02 2255.31,1022.01 2257.43,1022.01 2259.55,1022 2261.67,1022 2263.79,1022 2265.91,1021.99 2268.02,1021.99 \n  2270.14,1021.98 2272.26,1021.98 2274.38,1021.98 2276.5,1021.97 2278.62,1021.97 2280.73,1021.96 2282.85,1021.96 2284.97,1021.96 2287.09,1021.95 2289.21,1021.95 \n  2291.33,1021.94 2293.44,1021.94 2295.56,1021.94 2297.68,1021.93 2299.8,1021.93 2301.92,1021.93 2304.04,1021.92 2306.15,1021.92 2308.27,1021.92 2310.39,1021.91 \n  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       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:59px; font-weight:bold; text-anchor:middle;\" transform=\"rotate(0, 1294.67, 51.6)\" x=\"1294.67\" y=\"51.6\">Steady-State Evolution of Chemical System towards 0.3</text>\n",
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       "  257.765,226.388 259.883,234.273 262.002,242.074 264.12,249.793 266.238,257.43 268.356,264.989 270.475,272.469 272.593,279.873 274.711,287.201 276.83,294.455 \n",
       "  278.948,301.636 281.066,308.745 283.184,315.783 285.303,322.751 287.421,329.651 289.539,336.483 291.658,343.249 293.776,349.949 295.894,356.585 298.013,363.157 \n",
       "  300.131,369.666 302.249,376.114 304.367,382.5 306.486,388.827 308.604,395.094 310.722,401.302 312.841,407.453 314.959,413.546 317.077,419.584 319.195,425.565 \n",
       "  321.314,431.492 323.432,437.364 325.55,443.183 327.669,448.949 329.787,454.662 331.905,460.324 334.023,465.934 336.142,471.494 338.26,477.004 340.378,482.465 \n",
       "  342.497,487.876 344.615,493.239 346.733,498.554 348.852,503.822 350.97,509.042 353.088,514.217 355.206,519.345 357.325,524.428 359.443,529.466 361.561,534.459 \n",
       "  363.68,539.407 365.798,544.312 367.916,549.174 370.034,553.992 372.153,558.769 374.271,563.502 376.389,568.194 378.508,572.845 380.626,577.454 382.744,582.023 \n",
       "  384.862,586.552 386.981,591.04 389.099,595.489 391.217,599.899 393.336,604.27 395.454,608.602 397.572,612.896 399.691,617.152 401.809,621.37 403.927,625.551 \n",
       "  406.045,629.695 408.164,633.803 410.282,637.873 412.4,641.908 414.519,645.907 416.637,649.871 418.755,653.799 420.873,657.692 422.992,661.551 425.11,665.375 \n",
       "  427.228,669.165 429.347,672.921 431.465,676.644 433.583,680.334 435.701,683.99 437.82,687.614 439.938,691.205 442.056,694.764 444.175,698.291 446.293,701.787 \n",
       "  448.411,705.251 450.53,708.683 452.648,712.085 454.766,715.456 456.884,718.797 459.003,722.107 461.121,725.388 463.239,728.638 465.358,731.859 467.476,735.051 \n",
       "  469.594,738.214 471.712,741.347 473.831,744.453 475.949,747.529 478.067,750.578 480.186,753.599 482.304,756.592 484.422,759.557 486.541,762.495 488.659,765.406 \n",
       "  490.777,768.29 492.895,771.148 495.014,773.979 497.132,776.784 499.25,779.563 501.369,782.316 503.487,785.044 505.605,787.746 507.723,790.423 509.842,793.075 \n",
       "  511.96,795.702 514.078,798.305 516.197,800.883 518.315,803.437 520.433,805.967 522.551,808.473 524.67,810.956 526.788,813.415 528.906,815.851 531.025,818.264 \n",
       "  533.143,820.654 535.261,823.021 537.38,825.366 539.498,827.689 541.616,829.989 543.734,832.267 545.853,834.524 547.971,836.759 550.089,838.972 552.208,841.164 \n",
       "  554.326,843.335 556.444,845.486 558.562,847.615 560.681,849.724 562.799,851.812 564.917,853.88 567.036,855.929 569.154,857.957 571.272,859.965 573.39,861.954 \n",
       "  575.509,863.923 577.627,865.874 579.745,867.805 581.864,869.717 583.982,871.61 586.1,873.485 588.219,875.342 590.337,877.18 592.455,879 594.573,880.802 \n",
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       "  617.875,899.476 619.993,901.074 622.111,902.655 624.229,904.22 626.348,905.769 628.466,907.302 630.584,908.82 632.703,910.322 634.821,911.809 636.939,913.281 \n",
       "  639.058,914.738 641.176,916.179 643.294,917.606 645.412,919.018 647.531,920.416 649.649,921.799 651.767,923.168 653.886,924.523 656.004,925.863 658.122,927.19 \n",
       "  660.24,928.503 662.359,929.802 664.477,931.088 666.595,932.36 668.714,933.619 670.832,934.864 672.95,936.097 675.069,937.316 677.187,938.523 679.305,939.717 \n",
       "  681.423,940.898 683.542,942.067 685.66,943.223 687.778,944.367 689.897,945.499 692.015,946.619 694.133,947.726 696.251,948.822 698.37,949.906 700.488,950.978 \n",
       "  702.606,952.039 704.725,953.088 706.843,954.126 708.961,955.153 711.079,956.168 713.198,957.172 715.316,958.166 717.434,959.148 719.553,960.12 721.671,961.081 \n",
       "  723.789,962.031 725.908,962.971 728.026,963.9 730.144,964.819 732.262,965.728 734.381,966.627 736.499,967.515 738.617,968.394 740.736,969.263 742.854,970.122 \n",
       "  744.972,970.971 747.09,971.811 749.209,972.641 751.327,973.462 753.445,974.274 755.564,975.076 757.682,975.869 759.8,976.653 761.918,977.429 764.037,978.195 \n",
       "  766.155,978.952 768.273,979.701 770.392,980.441 772.51,981.172 774.628,981.895 776.747,982.61 778.865,983.316 780.983,984.014 783.101,984.704 785.22,985.386 \n",
       "  787.338,986.059 789.456,986.725 791.575,987.383 793.693,988.033 795.811,988.675 797.929,989.31 800.048,989.937 802.166,990.557 804.284,991.169 806.403,991.774 \n",
       "  808.521,992.371 810.639,992.961 812.758,993.544 814.876,994.12 816.994,994.689 819.112,995.251 821.231,995.806 823.349,996.354 825.467,996.895 827.586,997.43 \n",
       "  829.704,997.958 831.822,998.479 833.94,998.994 836.059,999.503 838.177,1000 840.295,1000.5 842.414,1000.99 844.532,1001.47 846.65,1001.95 848.768,1002.42 \n",
       "  850.887,1002.89 853.005,1003.34 855.123,1003.8 857.242,1004.24 859.36,1004.69 861.478,1005.12 863.597,1005.55 865.715,1005.98 867.833,1006.39 869.951,1006.81 \n",
       "  872.07,1007.22 874.188,1007.62 876.306,1008.01 878.425,1008.41 880.543,1008.79 882.661,1009.17 884.779,1009.55 886.898,1009.92 889.016,1010.29 891.134,1010.65 \n",
       "  893.253,1011 895.371,1011.35 897.489,1011.7 899.607,1012.04 901.726,1012.38 903.844,1012.71 905.962,1013.04 908.081,1013.36 910.199,1013.68 912.317,1013.99 \n",
       "  914.436,1014.3 916.554,1014.61 918.672,1014.91 920.79,1015.21 922.909,1015.5 925.027,1015.79 927.145,1016.07 929.264,1016.35 931.382,1016.62 933.5,1016.89 \n",
       "  935.618,1017.16 937.737,1017.43 939.855,1017.68 941.973,1017.94 944.092,1018.19 946.21,1018.44 948.328,1018.68 950.446,1018.92 952.565,1019.16 954.683,1019.39 \n",
       "  956.801,1019.62 958.92,1019.85 961.038,1020.07 963.156,1020.29 965.275,1020.5 967.393,1020.72 969.511,1020.92 971.629,1021.13 973.748,1021.33 975.866,1021.53 \n",
       "  977.984,1021.72 980.103,1021.92 982.221,1022.11 984.339,1022.29 986.457,1022.47 988.576,1022.65 990.694,1022.83 992.812,1023 994.931,1023.17 997.049,1023.34 \n",
       "  999.167,1023.51 1001.29,1023.67 1003.4,1023.83 1005.52,1023.98 1007.64,1024.14 1009.76,1024.29 1011.88,1024.43 1014,1024.58 1016.11,1024.72 1018.23,1024.86 \n",
       "  1020.35,1025 1022.47,1025.13 1024.59,1025.27 1026.71,1025.4 1028.82,1025.52 1030.94,1025.65 1033.06,1025.77 1035.18,1025.89 1037.3,1026.01 1039.41,1026.12 \n",
       "  1041.53,1026.24 1043.65,1026.35 1045.77,1026.45 1047.89,1026.56 1050.01,1026.67 1052.12,1026.77 1054.24,1026.87 1056.36,1026.96 1058.48,1027.06 1060.6,1027.15 \n",
       "  1062.72,1027.25 1064.83,1027.33 1066.95,1027.42 1069.07,1027.51 1071.19,1027.59 1073.31,1027.67 1075.43,1027.75 1077.54,1027.83 1079.66,1027.91 1081.78,1027.98 \n",
       "  1083.9,1028.05 1086.02,1028.12 1088.14,1028.19 1090.25,1028.26 1092.37,1028.33 1094.49,1028.39 1096.61,1028.45 1098.73,1028.51 1100.85,1028.57 1102.96,1028.63 \n",
       "  1105.08,1028.68 1107.2,1028.74 1109.32,1028.79 1111.44,1028.84 1113.55,1028.89 1115.67,1028.94 1117.79,1028.98 1119.91,1029.03 1122.03,1029.07 1124.15,1029.11 \n",
       "  1126.26,1029.15 1128.38,1029.19 1130.5,1029.23 1132.62,1029.27 1134.74,1029.3 1136.86,1029.34 1138.97,1029.37 1141.09,1029.4 1143.21,1029.43 1145.33,1029.46 \n",
       "  1147.45,1029.49 1149.57,1029.52 1151.68,1029.54 1153.8,1029.56 1155.92,1029.59 1158.04,1029.61 1160.16,1029.63 1162.28,1029.65 1164.39,1029.67 1166.51,1029.69 \n",
       "  1168.63,1029.7 1170.75,1029.72 1172.87,1029.73 1174.99,1029.75 1177.1,1029.76 1179.22,1029.77 1181.34,1029.78 1183.46,1029.79 1185.58,1029.8 1187.7,1029.81 \n",
       "  1189.81,1029.81 1191.93,1029.82 1194.05,1029.83 1196.17,1029.83 1198.29,1029.83 1200.4,1029.84 1202.52,1029.84 1204.64,1029.84 1206.76,1029.84 1208.88,1029.84 \n",
       "  1211,1029.84 1213.11,1029.83 1215.23,1029.83 1217.35,1029.83 1219.47,1029.82 1221.59,1029.82 1223.71,1029.81 1225.82,1029.81 1227.94,1029.8 1230.06,1029.79 \n",
       "  1232.18,1029.78 1234.3,1029.77 1236.42,1029.76 1238.53,1029.75 1240.65,1029.74 1242.77,1029.73 1244.89,1029.72 1247.01,1029.71 1249.13,1029.69 1251.24,1029.68 \n",
       "  1253.36,1029.67 1255.48,1029.65 1257.6,1029.64 1259.72,1029.62 1261.84,1029.6 1263.95,1029.59 1266.07,1029.57 1268.19,1029.55 1270.31,1029.53 1272.43,1029.51 \n",
       "  1274.55,1029.5 1276.66,1029.48 1278.78,1029.46 1280.9,1029.44 1283.02,1029.41 1285.14,1029.39 1287.25,1029.37 1289.37,1029.35 1291.49,1029.33 1293.61,1029.3 \n",
       "  1295.73,1029.28 1297.85,1029.26 1299.96,1029.23 1302.08,1029.21 1304.2,1029.18 1306.32,1029.16 1308.44,1029.13 1310.56,1029.11 1312.67,1029.08 1314.79,1029.06 \n",
       "  1316.91,1029.03 1319.03,1029 1321.15,1028.98 1323.27,1028.95 1325.38,1028.92 1327.5,1028.89 1329.62,1028.87 1331.74,1028.84 1333.86,1028.81 1335.98,1028.78 \n",
       "  1338.09,1028.75 1340.21,1028.72 1342.33,1028.69 1344.45,1028.66 1346.57,1028.63 1348.69,1028.6 1350.8,1028.57 1352.92,1028.54 1355.04,1028.51 1357.16,1028.48 \n",
       "  1359.28,1028.45 1361.4,1028.42 1363.51,1028.39 1365.63,1028.36 1367.75,1028.33 1369.87,1028.3 1371.99,1028.26 1374.1,1028.23 1376.22,1028.2 1378.34,1028.17 \n",
       "  1380.46,1028.14 1382.58,1028.1 1384.7,1028.07 1386.81,1028.04 1388.93,1028.01 1391.05,1027.97 1393.17,1027.94 1395.29,1027.91 1397.41,1027.88 1399.52,1027.84 \n",
       "  1401.64,1027.81 1403.76,1027.78 1405.88,1027.74 1408,1027.71 1410.12,1027.68 1412.23,1027.65 1414.35,1027.61 1416.47,1027.58 1418.59,1027.55 1420.71,1027.51 \n",
       "  1422.83,1027.48 1424.94,1027.45 1427.06,1027.41 1429.18,1027.38 1431.3,1027.35 1433.42,1027.31 1435.54,1027.28 1437.65,1027.25 1439.77,1027.21 1441.89,1027.18 \n",
       "  1444.01,1027.15 1446.13,1027.11 1448.25,1027.08 1450.36,1027.05 1452.48,1027.01 1454.6,1026.98 1456.72,1026.95 1458.84,1026.91 1460.95,1026.88 1463.07,1026.85 \n",
       "  1465.19,1026.81 1467.31,1026.78 1469.43,1026.75 1471.55,1026.72 1473.66,1026.68 1475.78,1026.65 1477.9,1026.62 1480.02,1026.58 1482.14,1026.55 1484.26,1026.52 \n",
       "  1486.37,1026.49 1488.49,1026.45 1490.61,1026.42 1492.73,1026.39 1494.85,1026.36 1496.97,1026.32 1499.08,1026.29 1501.2,1026.26 1503.32,1026.23 1505.44,1026.2 \n",
       "  1507.56,1026.16 1509.68,1026.13 1511.79,1026.1 1513.91,1026.07 1516.03,1026.04 1518.15,1026.01 1520.27,1025.98 1522.39,1025.94 1524.5,1025.91 1526.62,1025.88 \n",
       "  1528.74,1025.85 1530.86,1025.82 1532.98,1025.79 1535.1,1025.76 1537.21,1025.73 1539.33,1025.7 1541.45,1025.67 1543.57,1025.64 1545.69,1025.61 1547.8,1025.58 \n",
       "  1549.92,1025.55 1552.04,1025.52 1554.16,1025.49 1556.28,1025.46 1558.4,1025.43 1560.51,1025.4 1562.63,1025.37 1564.75,1025.34 1566.87,1025.31 1568.99,1025.28 \n",
       "  1571.11,1025.25 1573.22,1025.22 1575.34,1025.19 1577.46,1025.17 1579.58,1025.14 1581.7,1025.11 1583.82,1025.08 1585.93,1025.05 1588.05,1025.02 1590.17,1025 \n",
       "  1592.29,1024.97 1594.41,1024.94 1596.53,1024.91 1598.64,1024.89 1600.76,1024.86 1602.88,1024.83 1605,1024.81 1607.12,1024.78 1609.24,1024.75 1611.35,1024.73 \n",
       "  1613.47,1024.7 1615.59,1024.67 1617.71,1024.65 1619.83,1024.62 1621.95,1024.6 1624.06,1024.57 1626.18,1024.54 1628.3,1024.52 1630.42,1024.49 1632.54,1024.47 \n",
       "  1634.65,1024.44 1636.77,1024.42 1638.89,1024.39 1641.01,1024.37 1643.13,1024.35 1645.25,1024.32 1647.36,1024.3 1649.48,1024.27 1651.6,1024.25 1653.72,1024.23 \n",
       "  1655.84,1024.2 1657.96,1024.18 1660.07,1024.16 1662.19,1024.13 1664.31,1024.11 1666.43,1024.09 1668.55,1024.06 1670.67,1024.04 1672.78,1024.02 1674.9,1024 \n",
       "  1677.02,1023.98 1679.14,1023.95 1681.26,1023.93 1683.38,1023.91 1685.49,1023.89 1687.61,1023.87 1689.73,1023.85 1691.85,1023.82 1693.97,1023.8 1696.09,1023.78 \n",
       "  1698.2,1023.76 1700.32,1023.74 1702.44,1023.72 1704.56,1023.7 1706.68,1023.68 1708.8,1023.66 1710.91,1023.64 1713.03,1023.62 1715.15,1023.6 1717.27,1023.58 \n",
       "  1719.39,1023.56 1721.5,1023.54 1723.62,1023.52 1725.74,1023.5 1727.86,1023.49 1729.98,1023.47 1732.1,1023.45 1734.21,1023.43 1736.33,1023.41 1738.45,1023.39 \n",
       "  1740.57,1023.38 1742.69,1023.36 1744.81,1023.34 1746.92,1023.32 1749.04,1023.3 1751.16,1023.29 1753.28,1023.27 1755.4,1023.25 1757.52,1023.23 1759.63,1023.22 \n",
       "  1761.75,1023.2 1763.87,1023.18 1765.99,1023.17 1768.11,1023.15 1770.23,1023.13 1772.34,1023.12 1774.46,1023.1 1776.58,1023.09 1778.7,1023.07 1780.82,1023.05 \n",
       "  1782.94,1023.04 1785.05,1023.02 1787.17,1023.01 1789.29,1022.99 1791.41,1022.98 1793.53,1022.96 1795.65,1022.95 1797.76,1022.93 1799.88,1022.92 1802,1022.9 \n",
       "  1804.12,1022.89 1806.24,1022.87 1808.35,1022.86 1810.47,1022.84 1812.59,1022.83 1814.71,1022.82 1816.83,1022.8 1818.95,1022.79 1821.06,1022.78 1823.18,1022.76 \n",
       "  1825.3,1022.75 1827.42,1022.74 1829.54,1022.72 1831.66,1022.71 1833.77,1022.7 1835.89,1022.68 1838.01,1022.67 1840.13,1022.66 1842.25,1022.65 1844.37,1022.63 \n",
       "  1846.48,1022.62 1848.6,1022.61 1850.72,1022.6 1852.84,1022.58 1854.96,1022.57 1857.08,1022.56 1859.19,1022.55 1861.31,1022.54 1863.43,1022.53 1865.55,1022.51 \n",
       "  1867.67,1022.5 1869.79,1022.49 1871.9,1022.48 1874.02,1022.47 1876.14,1022.46 1878.26,1022.45 1880.38,1022.44 1882.5,1022.43 1884.61,1022.42 1886.73,1022.41 \n",
       "  1888.85,1022.4 1890.97,1022.39 1893.09,1022.38 1895.2,1022.37 1897.32,1022.36 1899.44,1022.35 1901.56,1022.34 1903.68,1022.33 1905.8,1022.32 1907.91,1022.31 \n",
       "  1910.03,1022.3 1912.15,1022.29 1914.27,1022.28 1916.39,1022.27 1918.51,1022.26 1920.62,1022.26 1922.74,1022.25 1924.86,1022.24 1926.98,1022.23 1929.1,1022.22 \n",
       "  1931.22,1022.21 1933.33,1022.21 1935.45,1022.2 1937.57,1022.19 1939.69,1022.18 1941.81,1022.17 1943.93,1022.17 1946.04,1022.16 1948.16,1022.15 1950.28,1022.14 \n",
       "  1952.4,1022.14 1954.52,1022.13 1956.64,1022.12 1958.75,1022.11 1960.87,1022.11 1962.99,1022.1 1965.11,1022.09 1967.23,1022.09 1969.35,1022.08 1971.46,1022.07 \n",
       "  1973.58,1022.07 1975.7,1022.06 1977.82,1022.05 1979.94,1022.05 1982.05,1022.04 1984.17,1022.03 1986.29,1022.03 1988.41,1022.02 1990.53,1022.02 1992.65,1022.01 \n",
       "  1994.76,1022 1996.88,1022 1999,1021.99 2001.12,1021.99 2003.24,1021.98 2005.36,1021.97 2007.47,1021.97 2009.59,1021.96 2011.71,1021.96 2013.83,1021.95 \n",
       "  2015.95,1021.95 2018.07,1021.94 2020.18,1021.94 2022.3,1021.93 2024.42,1021.93 2026.54,1021.92 2028.66,1021.92 2030.78,1021.91 2032.89,1021.91 2035.01,1021.9 \n",
       "  2037.13,1021.9 2039.25,1021.89 2041.37,1021.89 2043.49,1021.88 2045.6,1021.88 2047.72,1021.87 2049.84,1021.87 2051.96,1021.87 2054.08,1021.86 2056.2,1021.86 \n",
       "  2058.31,1021.85 2060.43,1021.85 2062.55,1021.84 2064.67,1021.84 2066.79,1021.84 2068.9,1021.83 2071.02,1021.83 2073.14,1021.82 2075.26,1021.82 2077.38,1021.82 \n",
       "  2079.5,1021.81 2081.61,1021.81 2083.73,1021.8 2085.85,1021.8 2087.97,1021.8 2090.09,1021.79 2092.21,1021.79 2094.32,1021.79 2096.44,1021.78 2098.56,1021.78 \n",
       "  2100.68,1021.78 2102.8,1021.77 2104.92,1021.77 2107.03,1021.77 2109.15,1021.76 2111.27,1021.76 2113.39,1021.76 2115.51,1021.75 2117.63,1021.75 2119.74,1021.75 \n",
       "  2121.86,1021.75 2123.98,1021.74 2126.1,1021.74 2128.22,1021.74 2130.34,1021.73 2132.45,1021.73 2134.57,1021.73 2136.69,1021.73 2138.81,1021.72 2140.93,1021.72 \n",
       "  2143.04,1021.72 2145.16,1021.72 2147.28,1021.71 2149.4,1021.71 2151.52,1021.71 2153.64,1021.71 2155.75,1021.7 2157.87,1021.7 2159.99,1021.7 2162.11,1021.7 \n",
       "  2164.23,1021.69 2166.35,1021.69 2168.46,1021.69 2170.58,1021.69 2172.7,1021.69 2174.82,1021.68 2176.94,1021.68 2179.06,1021.68 2181.17,1021.68 2183.29,1021.68 \n",
       "  2185.41,1021.68 2187.53,1021.67 2189.65,1021.67 2191.77,1021.67 2193.88,1021.67 2196,1021.67 2198.12,1021.66 2200.24,1021.66 2202.36,1021.66 2204.48,1021.66 \n",
       "  2206.59,1021.66 2208.71,1021.66 2210.83,1021.66 2212.95,1021.65 2215.07,1021.65 2217.19,1021.65 2219.3,1021.65 2221.42,1021.65 2223.54,1021.65 2225.66,1021.65 \n",
       "  2227.78,1021.65 2229.89,1021.64 2232.01,1021.64 2234.13,1021.64 2236.25,1021.64 2238.37,1021.64 2240.49,1021.64 2242.6,1021.64 2244.72,1021.64 2246.84,1021.64 \n",
       "  2248.96,1021.64 2251.08,1021.63 2253.2,1021.63 2255.31,1021.63 2257.43,1021.63 2259.55,1021.63 2261.67,1021.63 2263.79,1021.63 2265.91,1021.63 2268.02,1021.63 \n",
       "  2270.14,1021.63 2272.26,1021.63 2274.38,1021.63 2276.5,1021.63 2278.62,1021.62 2280.73,1021.62 2282.85,1021.62 2284.97,1021.62 2287.09,1021.62 2289.21,1021.62 \n",
       "  2291.33,1021.62 2293.44,1021.62 2295.56,1021.62 2297.68,1021.62 2299.8,1021.62 2301.92,1021.62 2304.04,1021.62 2306.15,1021.62 2308.27,1021.62 2310.39,1021.62 \n",
       "  2312.51,1021.62 2314.63,1021.62 2316.74,1021.62 2318.86,1021.62 2320.98,1021.61 2323.1,1021.61 2325.22,1021.61 2327.34,1021.61 2329.45,1021.61 2331.57,1021.61 \n",
       "  2333.69,1021.61 2335.81,1021.61 2337.93,1021.61 2340.05,1021.61 2342.16,1021.61 2344.28,1021.61 2346.4,1021.61 2348.52,1021.61 2350.64,1021.61 2352.76,1021.61 \n",
       "  \n",
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       "  257.765,1266.02 259.883,1254.11 262.002,1242.42 264.12,1230.96 266.238,1219.72 268.356,1208.7 270.475,1197.89 272.593,1187.28 274.711,1176.89 276.83,1166.7 \n",
       "  278.948,1156.71 281.066,1146.91 283.184,1137.31 285.303,1127.91 287.421,1118.69 289.539,1109.65 291.658,1100.8 293.776,1092.12 295.894,1083.62 298.013,1075.3 \n",
       "  300.131,1067.15 302.249,1059.16 304.367,1051.34 306.486,1043.69 308.604,1036.19 310.722,1028.85 312.841,1021.67 314.959,1014.64 317.077,1007.76 319.195,1001.03 \n",
       "  321.314,994.446 323.432,988.005 325.55,981.706 327.669,975.545 329.787,969.521 331.905,963.632 334.023,957.876 336.142,952.25 338.26,946.752 340.378,941.381 \n",
       "  342.497,936.134 344.615,931.009 346.733,926.005 348.852,921.119 350.97,916.349 353.088,911.694 355.206,907.152 357.325,902.721 359.443,898.399 361.561,894.184 \n",
       "  363.68,890.075 365.798,886.07 367.916,882.168 370.034,878.366 372.153,874.662 374.271,871.056 376.389,867.546 378.508,864.13 380.626,860.806 382.744,857.574 \n",
       "  384.862,854.431 386.981,851.375 389.099,848.407 391.217,845.523 393.336,842.723 395.454,840.006 397.572,837.369 399.691,834.812 401.809,832.332 403.927,829.93 \n",
       "  406.045,827.603 408.164,825.35 410.282,823.171 412.4,821.063 414.519,819.025 416.637,817.057 418.755,815.157 420.873,813.323 422.992,811.556 425.11,809.852 \n",
       "  427.228,808.213 429.347,806.635 431.465,805.119 433.583,803.662 435.701,802.265 437.82,800.926 439.938,799.643 442.056,798.417 444.175,797.245 446.293,796.127 \n",
       "  448.411,795.062 450.53,794.048 452.648,793.086 454.766,792.174 456.884,791.31 459.003,790.495 461.121,789.727 463.239,789.006 465.358,788.33 467.476,787.699 \n",
       "  469.594,787.111 471.712,786.567 473.831,786.065 475.949,785.604 478.067,785.184 480.186,784.803 482.304,784.462 484.422,784.158 486.541,783.892 488.659,783.663 \n",
       "  490.777,783.47 492.895,783.312 495.014,783.189 497.132,783.099 499.25,783.043 501.369,783.019 503.487,783.026 505.605,783.065 507.723,783.134 509.842,783.234 \n",
       "  511.96,783.362 514.078,783.519 516.197,783.703 518.315,783.915 520.433,784.154 522.551,784.419 524.67,784.71 526.788,785.026 528.906,785.366 531.025,785.73 \n",
       "  533.143,786.118 535.261,786.529 537.38,786.962 539.498,787.417 541.616,787.893 543.734,788.39 545.853,788.908 547.971,789.446 550.089,790.003 552.208,790.579 \n",
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       "  596.692,806.291 598.81,807.178 600.928,808.075 603.047,808.982 605.165,809.899 607.283,810.824 609.401,811.758 611.52,812.701 613.638,813.652 615.756,814.611 \n",
       "  617.875,815.578 619.993,816.552 622.111,817.533 624.229,818.521 626.348,819.515 628.466,820.516 630.584,821.523 632.703,822.536 634.821,823.554 636.939,824.578 \n",
       "  639.058,825.607 641.176,826.641 643.294,827.679 645.412,828.722 647.531,829.769 649.649,830.819 651.767,831.874 653.886,832.932 656.004,833.994 658.122,835.058 \n",
       "  660.24,836.126 662.359,837.196 664.477,838.269 666.595,839.344 668.714,840.421 670.832,841.501 672.95,842.582 675.069,843.664 677.187,844.748 679.305,845.834 \n",
       "  681.423,846.92 683.542,848.008 685.66,849.096 687.778,850.185 689.897,851.274 692.015,852.364 694.133,853.454 696.251,854.544 698.37,855.634 700.488,856.724 \n",
       "  702.606,857.814 704.725,858.903 706.843,859.992 708.961,861.08 711.079,862.168 713.198,863.254 715.316,864.34 717.434,865.425 719.553,866.508 721.671,867.59 \n",
       "  723.789,868.671 725.908,869.75 728.026,870.828 730.144,871.903 732.262,872.977 734.381,874.049 736.499,875.12 738.617,876.188 740.736,877.253 742.854,878.317 \n",
       "  744.972,879.378 747.09,880.437 749.209,881.493 751.327,882.546 753.445,883.597 755.564,884.645 757.682,885.69 759.8,886.732 761.918,887.771 764.037,888.807 \n",
       "  766.155,889.84 768.273,890.87 770.392,891.896 772.51,892.919 774.628,893.938 776.747,894.954 778.865,895.967 780.983,896.975 783.101,897.981 785.22,898.982 \n",
       "  787.338,899.979 789.456,900.973 791.575,901.963 793.693,902.949 795.811,903.931 797.929,904.909 800.048,905.883 802.166,906.852 804.284,907.818 806.403,908.78 \n",
       "  808.521,909.737 810.639,910.691 812.758,911.64 814.876,912.585 816.994,913.525 819.112,914.462 821.231,915.394 823.349,916.321 825.467,917.245 827.586,918.163 \n",
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       "  893.253,944.362 895.371,945.131 897.489,945.895 899.607,946.654 901.726,947.408 903.844,948.157 905.962,948.902 908.081,949.641 910.199,950.376 912.317,951.106 \n",
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       "  977.984,971.375 980.103,971.955 982.221,972.531 984.339,973.102 986.457,973.669 988.576,974.232 990.694,974.79 992.812,975.344 994.931,975.893 997.049,976.438 \n",
       "  999.167,976.979 1001.29,977.515 1003.4,978.047 1005.52,978.575 1007.64,979.099 1009.76,979.618 1011.88,980.133 1014,980.644 1016.11,981.15 1018.23,981.652 \n",
       "  1020.35,982.151 1022.47,982.645 1024.59,983.135 1026.71,983.62 1028.82,984.102 1030.94,984.579 1033.06,985.053 1035.18,985.522 1037.3,985.987 1039.41,986.449 \n",
       "  1041.53,986.906 1043.65,987.359 1045.77,987.808 1047.89,988.254 1050.01,988.695 1052.12,989.132 1054.24,989.566 1056.36,989.995 1058.48,990.421 1060.6,990.843 \n",
       "  1062.72,991.261 1064.83,991.675 1066.95,992.085 1069.07,992.492 1071.19,992.895 1073.31,993.294 1075.43,993.689 1077.54,994.081 1079.66,994.47 1081.78,994.854 \n",
       "  1083.9,995.235 1086.02,995.613 1088.14,995.987 1090.25,996.357 1092.37,996.724 1094.49,997.087 1096.61,997.447 1098.73,997.804 1100.85,998.157 1102.96,998.507 \n",
       "  1105.08,998.853 1107.2,999.196 1109.32,999.536 1111.44,999.873 1113.55,1000.21 1115.67,1000.54 1117.79,1000.86 1119.91,1001.19 1122.03,1001.51 1124.15,1001.82 \n",
       "  1126.26,1002.14 1128.38,1002.45 1130.5,1002.76 1132.62,1003.06 1134.74,1003.36 1136.86,1003.66 1138.97,1003.96 1141.09,1004.25 1143.21,1004.54 1145.33,1004.82 \n",
       "  1147.45,1005.11 1149.57,1005.39 1151.68,1005.67 1153.8,1005.94 1155.92,1006.21 1158.04,1006.48 1160.16,1006.75 1162.28,1007.01 1164.39,1007.27 1166.51,1007.53 \n",
       "  1168.63,1007.79 1170.75,1008.04 1172.87,1008.29 1174.99,1008.54 1177.1,1008.78 1179.22,1009.02 1181.34,1009.26 1183.46,1009.5 1185.58,1009.73 1187.7,1009.96 \n",
       "  1189.81,1010.19 1191.93,1010.42 1194.05,1010.64 1196.17,1010.86 1198.29,1011.08 1200.4,1011.3 1202.52,1011.51 1204.64,1011.72 1206.76,1011.93 1208.88,1012.14 \n",
       "  1211,1012.34 1213.11,1012.54 1215.23,1012.74 1217.35,1012.94 1219.47,1013.13 1221.59,1013.32 1223.71,1013.51 1225.82,1013.7 1227.94,1013.89 1230.06,1014.07 \n",
       "  1232.18,1014.25 1234.3,1014.43 1236.42,1014.6 1238.53,1014.78 1240.65,1014.95 1242.77,1015.12 1244.89,1015.29 1247.01,1015.45 1249.13,1015.62 1251.24,1015.78 \n",
       "  1253.36,1015.94 1255.48,1016.1 1257.6,1016.25 1259.72,1016.4 1261.84,1016.56 1263.95,1016.71 1266.07,1016.85 1268.19,1017 1270.31,1017.14 1272.43,1017.29 \n",
       "  1274.55,1017.43 1276.66,1017.56 1278.78,1017.7 1280.9,1017.84 1283.02,1017.97 1285.14,1018.1 1287.25,1018.23 1289.37,1018.36 1291.49,1018.48 1293.61,1018.61 \n",
       "  1295.73,1018.73 1297.85,1018.85 1299.96,1018.97 1302.08,1019.09 1304.2,1019.21 1306.32,1019.32 1308.44,1019.43 1310.56,1019.54 1312.67,1019.65 1314.79,1019.76 \n",
       "  1316.91,1019.87 1319.03,1019.97 1321.15,1020.08 1323.27,1020.18 1325.38,1020.28 1327.5,1020.38 1329.62,1020.48 1331.74,1020.57 1333.86,1020.67 1335.98,1020.76 \n",
       "  1338.09,1020.85 1340.21,1020.95 1342.33,1021.03 1344.45,1021.12 1346.57,1021.21 1348.69,1021.3 1350.8,1021.38 1352.92,1021.46 1355.04,1021.54 1357.16,1021.62 \n",
       "  1359.28,1021.7 1361.4,1021.78 1363.51,1021.86 1365.63,1021.93 1367.75,1022.01 1369.87,1022.08 1371.99,1022.15 1374.1,1022.22 1376.22,1022.29 1378.34,1022.36 \n",
       "  1380.46,1022.42 1382.58,1022.49 1384.7,1022.56 1386.81,1022.62 1388.93,1022.68 1391.05,1022.74 1393.17,1022.8 1395.29,1022.86 1397.41,1022.92 1399.52,1022.98 \n",
       "  1401.64,1023.03 1403.76,1023.09 1405.88,1023.14 1408,1023.19 1410.12,1023.25 1412.23,1023.3 1414.35,1023.35 1416.47,1023.4 1418.59,1023.44 1420.71,1023.49 \n",
       "  1422.83,1023.54 1424.94,1023.58 1427.06,1023.63 1429.18,1023.67 1431.3,1023.71 1433.42,1023.75 1435.54,1023.79 1437.65,1023.83 1439.77,1023.87 1441.89,1023.91 \n",
       "  1444.01,1023.95 1446.13,1023.99 1448.25,1024.02 1450.36,1024.06 1452.48,1024.09 1454.6,1024.12 1456.72,1024.16 1458.84,1024.19 1460.95,1024.22 1463.07,1024.25 \n",
       "  1465.19,1024.28 1467.31,1024.31 1469.43,1024.34 1471.55,1024.36 1473.66,1024.39 1475.78,1024.42 1477.9,1024.44 1480.02,1024.47 1482.14,1024.49 1484.26,1024.51 \n",
       "  1486.37,1024.54 1488.49,1024.56 1490.61,1024.58 1492.73,1024.6 1494.85,1024.62 1496.97,1024.64 1499.08,1024.66 1501.2,1024.68 1503.32,1024.7 1505.44,1024.71 \n",
       "  1507.56,1024.73 1509.68,1024.75 1511.79,1024.76 1513.91,1024.78 1516.03,1024.79 1518.15,1024.81 1520.27,1024.82 1522.39,1024.83 1524.5,1024.84 1526.62,1024.86 \n",
       "  1528.74,1024.87 1530.86,1024.88 1532.98,1024.89 1535.1,1024.9 1537.21,1024.91 1539.33,1024.92 1541.45,1024.93 1543.57,1024.94 1545.69,1024.94 1547.8,1024.95 \n",
       "  1549.92,1024.96 1552.04,1024.97 1554.16,1024.97 1556.28,1024.98 1558.4,1024.98 1560.51,1024.99 1562.63,1024.99 1564.75,1025 1566.87,1025 1568.99,1025 \n",
       "  1571.11,1025.01 1573.22,1025.01 1575.34,1025.01 1577.46,1025.01 1579.58,1025.02 1581.7,1025.02 1583.82,1025.02 1585.93,1025.02 1588.05,1025.02 1590.17,1025.02 \n",
       "  1592.29,1025.02 1594.41,1025.02 1596.53,1025.02 1598.64,1025.02 1600.76,1025.01 1602.88,1025.01 1605,1025.01 1607.12,1025.01 1609.24,1025.01 1611.35,1025 \n",
       "  1613.47,1025 1615.59,1025 1617.71,1024.99 1619.83,1024.99 1621.95,1024.98 1624.06,1024.98 1626.18,1024.97 1628.3,1024.97 1630.42,1024.96 1632.54,1024.96 \n",
       "  1634.65,1024.95 1636.77,1024.95 1638.89,1024.94 1641.01,1024.93 1643.13,1024.93 1645.25,1024.92 1647.36,1024.91 1649.48,1024.91 1651.6,1024.9 1653.72,1024.89 \n",
       "  1655.84,1024.88 1657.96,1024.88 1660.07,1024.87 1662.19,1024.86 1664.31,1024.85 1666.43,1024.84 1668.55,1024.83 1670.67,1024.82 1672.78,1024.82 1674.9,1024.81 \n",
       "  1677.02,1024.8 1679.14,1024.79 1681.26,1024.78 1683.38,1024.77 1685.49,1024.76 1687.61,1024.75 1689.73,1024.74 1691.85,1024.73 1693.97,1024.72 1696.09,1024.71 \n",
       "  1698.2,1024.7 1700.32,1024.68 1702.44,1024.67 1704.56,1024.66 1706.68,1024.65 1708.8,1024.64 1710.91,1024.63 1713.03,1024.62 1715.15,1024.61 1717.27,1024.59 \n",
       "  1719.39,1024.58 1721.5,1024.57 1723.62,1024.56 1725.74,1024.55 1727.86,1024.53 1729.98,1024.52 1732.1,1024.51 1734.21,1024.5 1736.33,1024.48 1738.45,1024.47 \n",
       "  1740.57,1024.46 1742.69,1024.45 1744.81,1024.43 1746.92,1024.42 1749.04,1024.41 1751.16,1024.4 1753.28,1024.38 1755.4,1024.37 1757.52,1024.36 1759.63,1024.34 \n",
       "  1761.75,1024.33 1763.87,1024.32 1765.99,1024.3 1768.11,1024.29 1770.23,1024.28 1772.34,1024.27 1774.46,1024.25 1776.58,1024.24 1778.7,1024.22 1780.82,1024.21 \n",
       "  1782.94,1024.2 1785.05,1024.18 1787.17,1024.17 1789.29,1024.16 1791.41,1024.14 1793.53,1024.13 1795.65,1024.12 1797.76,1024.1 1799.88,1024.09 1802,1024.08 \n",
       "  1804.12,1024.06 1806.24,1024.05 1808.35,1024.04 1810.47,1024.02 1812.59,1024.01 1814.71,1023.99 1816.83,1023.98 1818.95,1023.97 1821.06,1023.95 1823.18,1023.94 \n",
       "  1825.3,1023.93 1827.42,1023.91 1829.54,1023.9 1831.66,1023.89 1833.77,1023.87 1835.89,1023.86 1838.01,1023.84 1840.13,1023.83 1842.25,1023.82 1844.37,1023.8 \n",
       "  1846.48,1023.79 1848.6,1023.78 1850.72,1023.76 1852.84,1023.75 1854.96,1023.74 1857.08,1023.72 1859.19,1023.71 1861.31,1023.7 1863.43,1023.68 1865.55,1023.67 \n",
       "  1867.67,1023.66 1869.79,1023.64 1871.9,1023.63 1874.02,1023.62 1876.14,1023.6 1878.26,1023.59 1880.38,1023.58 1882.5,1023.56 1884.61,1023.55 1886.73,1023.54 \n",
       "  1888.85,1023.52 1890.97,1023.51 1893.09,1023.5 1895.2,1023.49 1897.32,1023.47 1899.44,1023.46 1901.56,1023.45 1903.68,1023.43 1905.8,1023.42 1907.91,1023.41 \n",
       "  1910.03,1023.4 1912.15,1023.38 1914.27,1023.37 1916.39,1023.36 1918.51,1023.35 1920.62,1023.33 1922.74,1023.32 1924.86,1023.31 1926.98,1023.3 1929.1,1023.28 \n",
       "  1931.22,1023.27 1933.33,1023.26 1935.45,1023.25 1937.57,1023.24 1939.69,1023.22 1941.81,1023.21 1943.93,1023.2 1946.04,1023.19 1948.16,1023.18 1950.28,1023.16 \n",
       "  1952.4,1023.15 1954.52,1023.14 1956.64,1023.13 1958.75,1023.12 1960.87,1023.11 1962.99,1023.1 1965.11,1023.08 1967.23,1023.07 1969.35,1023.06 1971.46,1023.05 \n",
       "  1973.58,1023.04 1975.7,1023.03 1977.82,1023.02 1979.94,1023.01 1982.05,1023 1984.17,1022.98 1986.29,1022.97 1988.41,1022.96 1990.53,1022.95 1992.65,1022.94 \n",
       "  1994.76,1022.93 1996.88,1022.92 1999,1022.91 2001.12,1022.9 2003.24,1022.89 2005.36,1022.88 2007.47,1022.87 2009.59,1022.86 2011.71,1022.85 2013.83,1022.84 \n",
       "  2015.95,1022.83 2018.07,1022.82 2020.18,1022.81 2022.3,1022.8 2024.42,1022.79 2026.54,1022.78 2028.66,1022.77 2030.78,1022.76 2032.89,1022.75 2035.01,1022.74 \n",
       "  2037.13,1022.73 2039.25,1022.72 2041.37,1022.71 2043.49,1022.7 2045.6,1022.69 2047.72,1022.68 2049.84,1022.67 2051.96,1022.66 2054.08,1022.65 2056.2,1022.64 \n",
       "  2058.31,1022.64 2060.43,1022.63 2062.55,1022.62 2064.67,1022.61 2066.79,1022.6 2068.9,1022.59 2071.02,1022.58 2073.14,1022.57 2075.26,1022.56 2077.38,1022.56 \n",
       "  2079.5,1022.55 2081.61,1022.54 2083.73,1022.53 2085.85,1022.52 2087.97,1022.51 2090.09,1022.5 2092.21,1022.5 2094.32,1022.49 2096.44,1022.48 2098.56,1022.47 \n",
       "  2100.68,1022.46 2102.8,1022.46 2104.92,1022.45 2107.03,1022.44 2109.15,1022.43 2111.27,1022.42 2113.39,1022.42 2115.51,1022.41 2117.63,1022.4 2119.74,1022.39 \n",
       "  2121.86,1022.39 2123.98,1022.38 2126.1,1022.37 2128.22,1022.36 2130.34,1022.36 2132.45,1022.35 2134.57,1022.34 2136.69,1022.33 2138.81,1022.33 2140.93,1022.32 \n",
       "  2143.04,1022.31 2145.16,1022.31 2147.28,1022.3 2149.4,1022.29 2151.52,1022.29 2153.64,1022.28 2155.75,1022.27 2157.87,1022.26 2159.99,1022.26 2162.11,1022.25 \n",
       "  2164.23,1022.25 2166.35,1022.24 2168.46,1022.23 2170.58,1022.23 2172.7,1022.22 2174.82,1022.21 2176.94,1022.21 2179.06,1022.2 2181.17,1022.2 2183.29,1022.19 \n",
       "  2185.41,1022.18 2187.53,1022.18 2189.65,1022.17 2191.77,1022.17 2193.88,1022.16 2196,1022.15 2198.12,1022.15 2200.24,1022.14 2202.36,1022.14 2204.48,1022.13 \n",
       "  2206.59,1022.13 2208.71,1022.12 2210.83,1022.12 2212.95,1022.11 2215.07,1022.1 2217.19,1022.1 2219.3,1022.09 2221.42,1022.09 2223.54,1022.08 2225.66,1022.08 \n",
       "  2227.78,1022.07 2229.89,1022.07 2232.01,1022.06 2234.13,1022.06 2236.25,1022.05 2238.37,1022.05 2240.49,1022.05 2242.6,1022.04 2244.72,1022.04 2246.84,1022.03 \n",
       "  2248.96,1022.03 2251.08,1022.02 2253.2,1022.02 2255.31,1022.01 2257.43,1022.01 2259.55,1022 2261.67,1022 2263.79,1022 2265.91,1021.99 2268.02,1021.99 \n",
       "  2270.14,1021.98 2272.26,1021.98 2274.38,1021.98 2276.5,1021.97 2278.62,1021.97 2280.73,1021.96 2282.85,1021.96 2284.97,1021.96 2287.09,1021.95 2289.21,1021.95 \n",
       "  2291.33,1021.94 2293.44,1021.94 2295.56,1021.94 2297.68,1021.93 2299.8,1021.93 2301.92,1021.93 2304.04,1021.92 2306.15,1021.92 2308.27,1021.92 2310.39,1021.91 \n",
       "  2312.51,1021.91 2314.63,1021.91 2316.74,1021.9 2318.86,1021.9 2320.98,1021.9 2323.1,1021.89 2325.22,1021.89 2327.34,1021.89 2329.45,1021.88 2331.57,1021.88 \n",
       "  2333.69,1021.88 2335.81,1021.87 2337.93,1021.87 2340.05,1021.87 2342.16,1021.86 2344.28,1021.86 2346.4,1021.86 2348.52,1021.86 2350.64,1021.85 2352.76,1021.85 \n",
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       "  257.765,1390.82 259.883,1389.3 262.002,1387.67 264.12,1385.92 266.238,1384.05 268.356,1382.09 270.475,1380.01 272.593,1377.84 274.711,1375.57 276.83,1373.22 \n",
       "  278.948,1370.77 281.066,1368.24 283.184,1365.62 285.303,1362.93 287.421,1360.17 289.539,1357.34 291.658,1354.43 293.776,1351.47 295.894,1348.44 298.013,1345.35 \n",
       "  300.131,1342.21 302.249,1339.02 304.367,1335.77 306.486,1332.48 308.604,1329.15 310.722,1325.78 312.841,1322.36 314.959,1318.91 317.077,1315.43 319.195,1311.91 \n",
       "  321.314,1308.37 323.432,1304.79 325.55,1301.2 327.669,1297.58 329.787,1293.94 331.905,1290.28 334.023,1286.6 336.142,1282.91 338.26,1279.2 340.378,1275.49 \n",
       "  342.497,1271.76 344.615,1268.02 346.733,1264.28 348.852,1260.54 350.97,1256.79 353.088,1253.04 355.206,1249.28 357.325,1245.53 359.443,1241.78 361.561,1238.03 \n",
       "  363.68,1234.29 365.798,1230.55 367.916,1226.82 370.034,1223.1 372.153,1219.39 374.271,1215.68 376.389,1211.99 378.508,1208.3 380.626,1204.63 382.744,1200.98 \n",
       "  384.862,1197.34 386.981,1193.71 389.099,1190.1 391.217,1186.5 393.336,1182.92 395.454,1179.36 397.572,1175.82 399.691,1172.3 401.809,1168.8 403.927,1165.31 \n",
       "  406.045,1161.85 408.164,1158.41 410.282,1154.99 412.4,1151.6 414.519,1148.22 416.637,1144.87 418.755,1141.54 420.873,1138.24 422.992,1134.96 425.11,1131.71 \n",
       "  427.228,1128.48 429.347,1125.27 431.465,1122.09 433.583,1118.94 435.701,1115.81 437.82,1112.71 439.938,1109.63 442.056,1106.58 444.175,1103.56 446.293,1100.57 \n",
       "  448.411,1097.6 450.53,1094.66 452.648,1091.75 454.766,1088.86 456.884,1086.01 459.003,1083.18 461.121,1080.37 463.239,1077.6 465.358,1074.85 467.476,1072.13 \n",
       "  469.594,1069.44 471.712,1066.78 473.831,1064.15 475.949,1061.54 478.067,1058.96 480.186,1056.41 482.304,1053.89 484.422,1051.4 486.541,1048.93 488.659,1046.5 \n",
       "  490.777,1044.09 492.895,1041.71 495.014,1039.35 497.132,1037.03 499.25,1034.73 501.369,1032.46 503.487,1030.22 505.605,1028 507.723,1025.81 509.842,1023.65 \n",
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       "  596.692,957.138 598.81,956.007 600.928,954.897 603.047,953.808 605.165,952.739 607.283,951.691 609.401,950.663 611.52,949.655 613.638,948.667 615.756,947.699 \n",
       "  617.875,946.75 619.993,945.82 622.111,944.909 624.229,944.018 626.348,943.145 628.466,942.291 630.584,941.455 632.703,940.637 634.821,939.838 636.939,939.056 \n",
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       "  681.423,926.476 683.542,926.045 685.66,925.629 687.778,925.227 689.897,924.839 692.015,924.464 694.133,924.103 696.251,923.754 698.37,923.419 700.488,923.097 \n",
       "  702.606,922.788 704.725,922.491 706.843,922.207 708.961,921.935 711.079,921.676 713.198,921.428 715.316,921.192 717.434,920.968 719.553,920.755 721.671,920.554 \n",
       "  723.789,920.364 725.908,920.185 728.026,920.018 730.144,919.861 732.262,919.714 734.381,919.579 736.499,919.453 738.617,919.338 740.736,919.233 742.854,919.139 \n",
       "  744.972,919.054 747.09,918.978 749.209,918.913 751.327,918.857 753.445,918.81 755.564,918.772 757.682,918.744 759.8,918.725 761.918,918.714 764.037,918.712 \n",
       "  766.155,918.719 768.273,918.735 770.392,918.758 772.51,918.791 774.628,918.831 776.747,918.879 778.865,918.935 780.983,919 783.101,919.071 785.22,919.151 \n",
       "  787.338,919.238 789.456,919.332 791.575,919.434 793.693,919.542 795.811,919.658 797.929,919.781 800.048,919.91 802.166,920.046 804.284,920.189 806.403,920.338 \n",
       "  808.521,920.493 810.639,920.655 812.758,920.822 814.876,920.996 816.994,921.176 819.112,921.361 821.231,921.552 823.349,921.749 825.467,921.951 827.586,922.159 \n",
       "  829.704,922.372 831.822,922.59 833.94,922.813 836.059,923.042 838.177,923.275 840.295,923.513 842.414,923.756 844.532,924.003 846.65,924.255 848.768,924.512 \n",
       "  850.887,924.773 853.005,925.038 855.123,925.308 857.242,925.581 859.36,925.859 861.478,926.141 863.597,926.426 865.715,926.715 867.833,927.008 869.951,927.305 \n",
       "  872.07,927.606 874.188,927.909 876.306,928.217 878.425,928.527 880.543,928.841 882.661,929.158 884.779,929.479 886.898,929.802 889.016,930.128 891.134,930.458 \n",
       "  893.253,930.79 895.371,931.125 897.489,931.463 899.607,931.803 901.726,932.146 903.844,932.492 905.962,932.84 908.081,933.19 910.199,933.543 912.317,933.899 \n",
       "  914.436,934.256 916.554,934.616 918.672,934.977 920.79,935.341 922.909,935.706 925.027,936.074 927.145,936.443 929.264,936.814 931.382,937.187 933.5,937.561 \n",
       "  935.618,937.938 937.737,938.315 939.855,938.694 941.973,939.075 944.092,939.457 946.21,939.84 948.328,940.224 950.446,940.61 952.565,940.997 954.683,941.385 \n",
       "  956.801,941.774 958.92,942.164 961.038,942.556 963.156,942.948 965.275,943.34 967.393,943.734 969.511,944.129 971.629,944.524 973.748,944.92 975.866,945.316 \n",
       "  977.984,945.714 980.103,946.111 982.221,946.51 984.339,946.908 986.457,947.308 988.576,947.707 990.694,948.107 992.812,948.507 994.931,948.908 997.049,949.309 \n",
       "  999.167,949.709 1001.29,950.111 1003.4,950.512 1005.52,950.913 1007.64,951.314 1009.76,951.716 1011.88,952.117 1014,952.518 1016.11,952.92 1018.23,953.321 \n",
       "  1020.35,953.722 1022.47,954.123 1024.59,954.523 1026.71,954.923 1028.82,955.324 1030.94,955.723 1033.06,956.123 1035.18,956.522 1037.3,956.921 1039.41,957.319 \n",
       "  1041.53,957.717 1043.65,958.114 1045.77,958.511 1047.89,958.908 1050.01,959.304 1052.12,959.699 1054.24,960.094 1056.36,960.489 1058.48,960.882 1060.6,961.275 \n",
       "  1062.72,961.667 1064.83,962.059 1066.95,962.449 1069.07,962.839 1071.19,963.228 1073.31,963.616 1075.43,964.004 1077.54,964.39 1079.66,964.776 1081.78,965.161 \n",
       "  1083.9,965.545 1086.02,965.928 1088.14,966.31 1090.25,966.691 1092.37,967.071 1094.49,967.45 1096.61,967.828 1098.73,968.205 1100.85,968.581 1102.96,968.956 \n",
       "  1105.08,969.329 1107.2,969.702 1109.32,970.074 1111.44,970.444 1113.55,970.813 1115.67,971.182 1117.79,971.548 1119.91,971.914 1122.03,972.279 1124.15,972.642 \n",
       "  1126.26,973.004 1128.38,973.365 1130.5,973.725 1132.62,974.083 1134.74,974.44 1136.86,974.796 1138.97,975.15 1141.09,975.503 1143.21,975.855 1145.33,976.205 \n",
       "  1147.45,976.554 1149.57,976.902 1151.68,977.248 1153.8,977.593 1155.92,977.937 1158.04,978.279 1160.16,978.62 1162.28,978.959 1164.39,979.297 1166.51,979.633 \n",
       "  1168.63,979.968 1170.75,980.302 1172.87,980.634 1174.99,980.965 1177.1,981.294 1179.22,981.622 1181.34,981.948 1183.46,982.272 1185.58,982.596 1187.7,982.917 \n",
       "  1189.81,983.237 1191.93,983.556 1194.05,983.873 1196.17,984.189 1198.29,984.503 1200.4,984.815 1202.52,985.126 1204.64,985.436 1206.76,985.744 1208.88,986.05 \n",
       "  1211,986.355 1213.11,986.658 1215.23,986.96 1217.35,987.26 1219.47,987.559 1221.59,987.856 1223.71,988.151 1225.82,988.445 1227.94,988.737 1230.06,989.028 \n",
       "  1232.18,989.317 1234.3,989.604 1236.42,989.89 1238.53,990.174 1240.65,990.457 1242.77,990.738 1244.89,991.017 1247.01,991.295 1249.13,991.571 1251.24,991.846 \n",
       "  1253.36,992.119 1255.48,992.391 1257.6,992.661 1259.72,992.929 1261.84,993.196 1263.95,993.461 1266.07,993.724 1268.19,993.986 1270.31,994.247 1272.43,994.505 \n",
       "  1274.55,994.763 1276.66,995.018 1278.78,995.273 1280.9,995.525 1283.02,995.776 1285.14,996.026 1287.25,996.273 1289.37,996.52 1291.49,996.765 1293.61,997.008 \n",
       "  1295.73,997.249 1297.85,997.49 1299.96,997.728 1302.08,997.965 1304.2,998.201 1306.32,998.435 1308.44,998.667 1310.56,998.898 1312.67,999.128 1314.79,999.356 \n",
       "  1316.91,999.582 1319.03,999.807 1321.15,1000.03 1323.27,1000.25 1325.38,1000.47 1327.5,1000.69 1329.62,1000.91 1331.74,1001.12 1333.86,1001.34 1335.98,1001.55 \n",
       "  1338.09,1001.76 1340.21,1001.97 1342.33,1002.18 1344.45,1002.39 1346.57,1002.59 1348.69,1002.8 1350.8,1003 1352.92,1003.2 1355.04,1003.4 1357.16,1003.6 \n",
       "  1359.28,1003.8 1361.4,1003.99 1363.51,1004.18 1365.63,1004.38 1367.75,1004.57 1369.87,1004.76 1371.99,1004.95 1374.1,1005.13 1376.22,1005.32 1378.34,1005.5 \n",
       "  1380.46,1005.68 1382.58,1005.86 1384.7,1006.04 1386.81,1006.22 1388.93,1006.4 1391.05,1006.57 1393.17,1006.75 1395.29,1006.92 1397.41,1007.09 1399.52,1007.26 \n",
       "  1401.64,1007.43 1403.76,1007.6 1405.88,1007.76 1408,1007.93 1410.12,1008.09 1412.23,1008.25 1414.35,1008.41 1416.47,1008.57 1418.59,1008.73 1420.71,1008.89 \n",
       "  1422.83,1009.04 1424.94,1009.2 1427.06,1009.35 1429.18,1009.5 1431.3,1009.65 1433.42,1009.8 1435.54,1009.95 1437.65,1010.09 1439.77,1010.24 1441.89,1010.38 \n",
       "  1444.01,1010.52 1446.13,1010.67 1448.25,1010.81 1450.36,1010.94 1452.48,1011.08 1454.6,1011.22 1456.72,1011.35 1458.84,1011.49 1460.95,1011.62 1463.07,1011.75 \n",
       "  1465.19,1011.88 1467.31,1012.01 1469.43,1012.14 1471.55,1012.27 1473.66,1012.39 1475.78,1012.52 1477.9,1012.64 1480.02,1012.76 1482.14,1012.89 1484.26,1013.01 \n",
       "  1486.37,1013.12 1488.49,1013.24 1490.61,1013.36 1492.73,1013.48 1494.85,1013.59 1496.97,1013.7 1499.08,1013.82 1501.2,1013.93 1503.32,1014.04 1505.44,1014.15 \n",
       "  1507.56,1014.26 1509.68,1014.37 1511.79,1014.47 1513.91,1014.58 1516.03,1014.68 1518.15,1014.79 1520.27,1014.89 1522.39,1014.99 1524.5,1015.09 1526.62,1015.19 \n",
       "  1528.74,1015.29 1530.86,1015.39 1532.98,1015.48 1535.1,1015.58 1537.21,1015.68 1539.33,1015.77 1541.45,1015.86 1543.57,1015.95 1545.69,1016.05 1547.8,1016.14 \n",
       "  1549.92,1016.23 1552.04,1016.31 1554.16,1016.4 1556.28,1016.49 1558.4,1016.57 1560.51,1016.66 1562.63,1016.74 1564.75,1016.83 1566.87,1016.91 1568.99,1016.99 \n",
       "  1571.11,1017.07 1573.22,1017.15 1575.34,1017.23 1577.46,1017.31 1579.58,1017.39 1581.7,1017.46 1583.82,1017.54 1585.93,1017.61 1588.05,1017.69 1590.17,1017.76 \n",
       "  1592.29,1017.83 1594.41,1017.91 1596.53,1017.98 1598.64,1018.05 1600.76,1018.12 1602.88,1018.18 1605,1018.25 1607.12,1018.32 1609.24,1018.39 1611.35,1018.45 \n",
       "  1613.47,1018.52 1615.59,1018.58 1617.71,1018.64 1619.83,1018.71 1621.95,1018.77 1624.06,1018.83 1626.18,1018.89 1628.3,1018.95 1630.42,1019.01 1632.54,1019.07 \n",
       "  1634.65,1019.12 1636.77,1019.18 1638.89,1019.24 1641.01,1019.29 1643.13,1019.35 1645.25,1019.4 1647.36,1019.45 1649.48,1019.51 1651.6,1019.56 1653.72,1019.61 \n",
       "  1655.84,1019.66 1657.96,1019.71 1660.07,1019.76 1662.19,1019.81 1664.31,1019.86 1666.43,1019.91 1668.55,1019.95 1670.67,1020 1672.78,1020.05 1674.9,1020.09 \n",
       "  1677.02,1020.14 1679.14,1020.18 1681.26,1020.22 1683.38,1020.27 1685.49,1020.31 1687.61,1020.35 1689.73,1020.39 1691.85,1020.43 1693.97,1020.47 1696.09,1020.51 \n",
       "  1698.2,1020.55 1700.32,1020.59 1702.44,1020.63 1704.56,1020.67 1706.68,1020.7 1708.8,1020.74 1710.91,1020.78 1713.03,1020.81 1715.15,1020.85 1717.27,1020.88 \n",
       "  1719.39,1020.92 1721.5,1020.95 1723.62,1020.98 1725.74,1021.02 1727.86,1021.05 1729.98,1021.08 1732.1,1021.11 1734.21,1021.14 1736.33,1021.17 1738.45,1021.2 \n",
       "  1740.57,1021.23 1742.69,1021.26 1744.81,1021.29 1746.92,1021.32 1749.04,1021.35 1751.16,1021.38 1753.28,1021.4 1755.4,1021.43 1757.52,1021.46 1759.63,1021.48 \n",
       "  1761.75,1021.51 1763.87,1021.53 1765.99,1021.56 1768.11,1021.58 1770.23,1021.61 1772.34,1021.63 1774.46,1021.65 1776.58,1021.68 1778.7,1021.7 1780.82,1021.72 \n",
       "  1782.94,1021.74 1785.05,1021.77 1787.17,1021.79 1789.29,1021.81 1791.41,1021.83 1793.53,1021.85 1795.65,1021.87 1797.76,1021.89 1799.88,1021.91 1802,1021.93 \n",
       "  1804.12,1021.95 1806.24,1021.96 1808.35,1021.98 1810.47,1022 1812.59,1022.02 1814.71,1022.03 1816.83,1022.05 1818.95,1022.07 1821.06,1022.08 1823.18,1022.1 \n",
       "  1825.3,1022.12 1827.42,1022.13 1829.54,1022.15 1831.66,1022.16 1833.77,1022.18 1835.89,1022.19 1838.01,1022.2 1840.13,1022.22 1842.25,1022.23 1844.37,1022.24 \n",
       "  1846.48,1022.26 1848.6,1022.27 1850.72,1022.28 1852.84,1022.29 1854.96,1022.31 1857.08,1022.32 1859.19,1022.33 1861.31,1022.34 1863.43,1022.35 1865.55,1022.36 \n",
       "  1867.67,1022.37 1869.79,1022.38 1871.9,1022.39 1874.02,1022.4 1876.14,1022.41 1878.26,1022.42 1880.38,1022.43 1882.5,1022.44 1884.61,1022.45 1886.73,1022.46 \n",
       "  1888.85,1022.46 1890.97,1022.47 1893.09,1022.48 1895.2,1022.49 1897.32,1022.49 1899.44,1022.5 1901.56,1022.51 1903.68,1022.51 1905.8,1022.52 1907.91,1022.53 \n",
       "  1910.03,1022.53 1912.15,1022.54 1914.27,1022.54 1916.39,1022.55 1918.51,1022.56 1920.62,1022.56 1922.74,1022.57 1924.86,1022.57 1926.98,1022.58 1929.1,1022.58 \n",
       "  1931.22,1022.58 1933.33,1022.59 1935.45,1022.59 1937.57,1022.6 1939.69,1022.6 1941.81,1022.6 1943.93,1022.61 1946.04,1022.61 1948.16,1022.61 1950.28,1022.62 \n",
       "  1952.4,1022.62 1954.52,1022.62 1956.64,1022.62 1958.75,1022.63 1960.87,1022.63 1962.99,1022.63 1965.11,1022.63 1967.23,1022.64 1969.35,1022.64 1971.46,1022.64 \n",
       "  1973.58,1022.64 1975.7,1022.64 1977.82,1022.64 1979.94,1022.65 1982.05,1022.65 1984.17,1022.65 1986.29,1022.65 1988.41,1022.65 1990.53,1022.65 1992.65,1022.65 \n",
       "  1994.76,1022.65 1996.88,1022.65 1999,1022.65 2001.12,1022.65 2003.24,1022.65 2005.36,1022.65 2007.47,1022.65 2009.59,1022.65 2011.71,1022.65 2013.83,1022.65 \n",
       "  2015.95,1022.65 2018.07,1022.65 2020.18,1022.65 2022.3,1022.65 2024.42,1022.65 2026.54,1022.65 2028.66,1022.65 2030.78,1022.65 2032.89,1022.64 2035.01,1022.64 \n",
       "  2037.13,1022.64 2039.25,1022.64 2041.37,1022.64 2043.49,1022.64 2045.6,1022.64 2047.72,1022.64 2049.84,1022.63 2051.96,1022.63 2054.08,1022.63 2056.2,1022.63 \n",
       "  2058.31,1022.63 2060.43,1022.62 2062.55,1022.62 2064.67,1022.62 2066.79,1022.62 2068.9,1022.62 2071.02,1022.61 2073.14,1022.61 2075.26,1022.61 2077.38,1022.61 \n",
       "  2079.5,1022.61 2081.61,1022.6 2083.73,1022.6 2085.85,1022.6 2087.97,1022.6 2090.09,1022.59 2092.21,1022.59 2094.32,1022.59 2096.44,1022.59 2098.56,1022.58 \n",
       "  2100.68,1022.58 2102.8,1022.58 2104.92,1022.57 2107.03,1022.57 2109.15,1022.57 2111.27,1022.57 2113.39,1022.56 2115.51,1022.56 2117.63,1022.56 2119.74,1022.55 \n",
       "  2121.86,1022.55 2123.98,1022.55 2126.1,1022.54 2128.22,1022.54 2130.34,1022.54 2132.45,1022.53 2134.57,1022.53 2136.69,1022.53 2138.81,1022.52 2140.93,1022.52 \n",
       "  2143.04,1022.52 2145.16,1022.51 2147.28,1022.51 2149.4,1022.51 2151.52,1022.5 2153.64,1022.5 2155.75,1022.5 2157.87,1022.49 2159.99,1022.49 2162.11,1022.49 \n",
       "  2164.23,1022.48 2166.35,1022.48 2168.46,1022.48 2170.58,1022.47 2172.7,1022.47 2174.82,1022.46 2176.94,1022.46 2179.06,1022.46 2181.17,1022.45 2183.29,1022.45 \n",
       "  2185.41,1022.45 2187.53,1022.44 2189.65,1022.44 2191.77,1022.43 2193.88,1022.43 2196,1022.43 2198.12,1022.42 2200.24,1022.42 2202.36,1022.42 2204.48,1022.41 \n",
       "  2206.59,1022.41 2208.71,1022.4 2210.83,1022.4 2212.95,1022.4 2215.07,1022.39 2217.19,1022.39 2219.3,1022.38 2221.42,1022.38 2223.54,1022.38 2225.66,1022.37 \n",
       "  2227.78,1022.37 2229.89,1022.36 2232.01,1022.36 2234.13,1022.36 2236.25,1022.35 2238.37,1022.35 2240.49,1022.34 2242.6,1022.34 2244.72,1022.34 2246.84,1022.33 \n",
       "  2248.96,1022.33 2251.08,1022.32 2253.2,1022.32 2255.31,1022.32 2257.43,1022.31 2259.55,1022.31 2261.67,1022.3 2263.79,1022.3 2265.91,1022.3 2268.02,1022.29 \n",
       "  2270.14,1022.29 2272.26,1022.29 2274.38,1022.28 2276.5,1022.28 2278.62,1022.27 2280.73,1022.27 2282.85,1022.27 2284.97,1022.26 2287.09,1022.26 2289.21,1022.25 \n",
       "  2291.33,1022.25 2293.44,1022.25 2295.56,1022.24 2297.68,1022.24 2299.8,1022.23 2301.92,1022.23 2304.04,1022.23 2306.15,1022.22 2308.27,1022.22 2310.39,1022.22 \n",
       "  2312.51,1022.21 2314.63,1022.21 2316.74,1022.2 2318.86,1022.2 2320.98,1022.2 2323.1,1022.19 2325.22,1022.19 2327.34,1022.19 2329.45,1022.18 2331.57,1022.18 \n",
       "  2333.69,1022.18 2335.81,1022.17 2337.93,1022.17 2340.05,1022.16 2342.16,1022.16 2344.28,1022.16 2346.4,1022.15 2348.52,1022.15 2350.64,1022.15 2352.76,1022.14 \n",
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       "<path clip-path=\"url(#clip100)\" d=\"M2231.71 253.738 L2231.71 266.4 L2239.21 266.4 Q2242.99 266.4 2244.79 264.849 Q2246.62 263.275 2246.62 260.058 Q2246.62 256.817 2244.79 255.289 Q2242.99 253.738 2239.21 253.738 L2231.71 253.738 M2231.71 239.526 L2231.71 249.942 L2238.63 249.942 Q2242.06 249.942 2243.73 248.669 Q2245.42 247.373 2245.42 244.734 Q2245.42 242.118 2243.73 240.822 Q2242.06 239.526 2238.63 239.526 L2231.71 239.526 M2227.04 235.683 L2238.98 235.683 Q2244.33 235.683 2247.22 237.905 Q2250.12 240.127 2250.12 244.225 Q2250.12 247.396 2248.63 249.271 Q2247.15 251.146 2244.28 251.609 Q2247.73 252.35 2249.63 254.711 Q2251.55 257.049 2251.55 260.567 Q2251.55 265.197 2248.4 267.72 Q2245.25 270.243 2239.44 270.243 L2227.04 270.243 L2227.04 235.683 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip100)\" style=\"stroke:#029e73; stroke-linecap:round; stroke-linejoin:round; stroke-width:8; stroke-opacity:1; fill:none\" points=\"\n",
       "  2062.45,304.803 2203.52,304.803 \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip100)\" d=\"M2254.91 290.185 L2254.91 295.115 Q2252.55 292.916 2249.86 291.828 Q2247.2 290.741 2244.19 290.741 Q2238.26 290.741 2235.12 294.375 Q2231.97 297.986 2231.97 304.838 Q2231.97 311.666 2235.12 315.301 Q2238.26 318.912 2244.19 318.912 Q2247.2 318.912 2249.86 317.824 Q2252.55 316.736 2254.91 314.537 L2254.91 319.421 Q2252.45 321.088 2249.7 321.921 Q2246.97 322.754 2243.91 322.754 Q2236.06 322.754 2231.55 317.963 Q2227.04 313.148 2227.04 304.838 Q2227.04 296.504 2231.55 291.713 Q2236.06 286.898 2243.91 286.898 Q2247.01 286.898 2249.75 287.731 Q2252.5 288.541 2254.91 290.185 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /></svg>\n"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_system = remake(problem, p = sol.u, tspan=(0.,60.))\n",
    "new_ode_solution = DifferentialEquations.solve(new_system)\n",
    "plot(new_ode_solution, linewidth=2, labels=[\"A\" \"B\" \"C\"], xlabel=\"Time\", ylabel=\"Concentration\", \n",
    "labelfontsize=8, title=\"Steady-State Evolution of Chemical System towards 0.3\", \n",
    "titlefontsize = 10, titlefontfamily = \"Helvetica Bold\", palette=:seaborn_colorblind)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data Assimilation\n",
    "Parameter estimation using data can equally be performed. Observe the dataset below, simulated using the newly learned system. We have learned data on A and C"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rng = MersenneTwister(313)\n",
    "data_AC = max.(Matrix(new_ode_solution(0:60, idxs=[1, 3])) .+ randn(rng, (2,61)).*[0.2, 0.12],0)\n",
    "scatter(0:60, data_AC', labels=[\"A\" \"C\"], legendtitle=\"Data\", legendtitlefontfamily=\"Helvetica Bold\", legendtitlefontsize=10, xlabel=\"Time [min]\", ylabel = \"Concentration [mmol/L]\", palette=:seaborn_colorblind)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can define a loss function based on the external data as well."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The initial loss is 7.046803554529034"
     ]
    }
   ],
   "source": [
    "# use the same initial parameters as in the first function\n",
    "initial_p = [0.1, 0.15, 0.07, 0.12]\n",
    "\n",
    "function get_loss(data, problem::ODEProblem)\n",
    "\n",
    "    loss = (p) -> begin\n",
    "    # save the solution at every data point\n",
    "    solution = DifferentialEquations.solve(problem,Tsit5(), p=p, saveat=0:60)\n",
    "\n",
    "    error = sum(abs2, Matrix(solution)[[1,3],:].-data)\n",
    "    return error, solution\n",
    "    end\n",
    "\n",
    "    loss\n",
    "end\n",
    "\n",
    "loss_func = get_loss(data_AC, new_system)\n",
    "\n",
    "print(\"The initial loss is $(loss_func(initial_p)[1])\")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now solve the problem"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "retcode: Success\n",
      "u: [0.11150318697909525, 0.27567977039879327, 0.15314513550986417, 0.21712246790498146]\n",
      "Final objective value:     3.551971243352088\n"
     ]
    }
   ],
   "source": [
    "adtype = Optimization.AutoZygote()\n",
    "optf   = Optimization.OptimizationFunction((x,p) -> loss_func(x), adtype);\n",
    "\n",
    "opt_problem = Optimization.OptimizationProblem(optf, initial_p, lb = [0.,0.,0.,0.], ub=[0.5,0.5,0.5,0.5]);\n",
    "sol     = Optimization.solve(opt_problem, BFGS(linesearch=BackTracking(order=3)),x_tol=1e-12, g_tol=1e-12)\n",
    "print(sol)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
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SlJms1mhGuY4Y/cwoo321EEKo5yi1MPe0NqOWDJNTl2bzTNukgq3I+PDsIPrZQfTxbMXrCcK0WjL1hHaJB711NO0gwbQQIQPw9PSMjo7WHWdnZxNCWnYYtiIUCkUiUdf2zaNpGge2tDQrfOawO0OvJkQ3KBoG2bmPf2qFWCw2dFAI9Z6+nRDq+Pv6496DCKGBjCWw7CJ7pYy4mFDHpzEPzQZbGmfDJS7gbb3JbU5gD+ZwJwq5D0OY9b40JoUI9bJly5Z9+OGHsbGxw4cP//e//z1//nxTU1MA2LFjh7W19fz58wsKCsrLy4cPH67Vaj/66COKovRzDtEjcnZyXuLkbOgoEDIMIx0SgBBCqONevsb+lsdZCOHENKYL/Xt8Gt4cRqct5M13o+s18OJVdu5ptkrVE5EihB7IxcXlm2++mTFjhlwuv3Xr1qeffqorj4uLS09PB4Dq6uonn3xSLBbL5fLTp0//8ccfuowRIYQeRX/oIUQIoYHs38ncV2mciIEj4Txf86537LmYUIfDmN/yqGcvs38UcIGHyb5JzDg77ClEqPesWLFixYoVGo2Gz/+ro3/79u26g8DAwKysLJZlKYoy2ml+CKE+B1sThBDqw/4sJG9dZ2kKfpzAjO+O5G2+G50wnxdqS91RkMnHtf9I4DhcDwih3tUyG2zLOLcXQgj1XdigIIRQX0UA/h7LEoB/BDOLPbqtPXcxoS7O5G0KpDkC78Sx4Se05V1ZtwIhhBBCfQAOGUXISGVkZGRmZuof8ni8mTNnPvSs9PT077777pNPPumuMH755ZeGhgb9QufIqBwvJIlVxFFKbfTv5m/3eDR8GMxMsqefuqg9X0xCjmoPhzFBVjh8FCGEEOpvMCFEyEjt27fv+++/HzVqlO6hSCR6UEJob29/7tw5X1/fbrlvenr6pEmTSktLu+VqqEf9M5EFgFcDempP+TBHKn4+f9E57ZUyMu6YdvtjzFNeOK4EIYQQ6lcwIUTIeI0ZM+bnn39uVdjQ0BAXF6fRaIYMGeLk5FRWVsay7J07d0QikY2NjZub24YNG3Q1c3JyXF1dExMT6+vrx40bx+PxsrKyCgsLQ0JCZDKZrk5xcXF6erqJiUlgYKBQKNSVsCybk5MDAC4uLpMnT2ZZVn/3tLS0srKygIAAKyurlndJSkqqr68fNWoU7t3Uay6WkKtlxFIIawb1YJJmL4GLM3l/j2M/SuJWXGSjSslXYxk+ZoUIIYRQf9H3EkKO45JTk1MyUy3MzIf5Bjo5Oho6IoR6T1ZW1uTJk0NDQ0Ui0Y0bN6Kionbv3t3Q0LB161ZTU9MNGzZwHPfCCy8kJycDgLe39/z587VabX5+vqWl5axZs37//XeapvPy8pKSkqRS6R9//PHee+8NHTq0qKjozp07ly9ftrKy+vrrrxsbG9966y0A2LZt21dffVVVVfXFF19wHLdkyZL09PSAgIALFy58+eWXixYt0t1l4cKFSqWyqqqqvr4+NjZWl1iinqbrHnzZnzHpzK6DXcCjYUsI4yGjXrzK7sjgbteTg5N5VqKevSlCCBmbpqYmHo8nEAgMHQhC3ayPJYSNjY07ft7F2hCJo0kt25QYmTrYzPPxmY8bOi6EYEcGt+4Kyz7yeoybAukPg++O/zt//nxoaKju2N/ff/v27ceOHZs+ffqOHTt0hYSQ119/fevWrVu3btUNGb106VLLq0VERKxZs6a5udnBwWHQoEHnz58HgMcee+z3339/8sknp02bNnv2bF3N9evXb9u27e9///uHH3549erVtj2T+/fvT01NjY+PF4lE586dW7JkyYwZM6RSKQBMmTJl7dq1hJCgoKATJ07MmzfvUZ8F9DA3KsiZImLKhxf8eqm3bu1g2t+CWnhOe76YjDyqPRrOBMhxSiFCaEBIuJl45vo5rYAFlphQ0gVh85wcnQwdFELdpo8lhD//+YvEVyaUiDQaDY/Hk/pLs7LzbqbeDPALMHRoaKDjCHTL4vwtU8rAwMAPP/xQd6wb5Dlq1KgPPvhAo9HMnj07IiJCl4+1Y9q0aQAgEonc3d2nTp2qKxwyZEhhYSEAaLXaTz755OrVq0ql8s6dOyEhIe1c6urVq3PnzhWJRAAwZcoUmqbT09ODg4MBYMaMGQBAUZSfn5/uyqin/TORA4B1vrR5L35VPdaWip3HW3CWjSknY//Q7p7AzHfDwaMIoX4uLinuRPo5x5C7GSDHsruO/7h+/t/0UycQ6uv6UkJICCltLLeXOLcstHa3vZEShwkhMrjnhtDPDenmD8dyuVy/qIzO2LFj4+LiDh8+/Mknn7z44ovR0dHOzs4POh0AdPkbADAM0/JYNy1w06ZNxcXF//rXv+zt7bdv356YmNjOpdRqdctxMgKBQK1Wt71LywmHqIek15LfCzgRAxv8emYxmQdzkFCRM3nPXWF/uMU9fpZ9Yxj5ZzBDY08hQqj/ioy/7Bj0V38gzTB2gY6nLp9eNn+pAaNCqBv1pS93NRoNafPhh6ZpNasyRDgIGYaHh8drr7125coVb2/vixcvAoBYLFapuvJfEBsbu2zZMj8/P7lcfv36dV2hRCK579WGDRsWGRmpO87IyKiurh48eHAXfwf0aD5M5DgCawbT9hID3F3IwPfjme2PMQwNHyVxS86zCq0BwkAIod7RTFq/JwqEghpFrUGCQagn9KUeQoFAwGdbZ4SqpmZLU+yyR/1TdHT0k08+qX+4a9eurVu35ubmDhs2rLy8PDMzc9y4cQAwadKk9evXjx07dvny5Z26flhY2KZNm3Jzc2NiYnJycnQJnpOTk7W19cKFC728vDZt2qSvvGrVqh07dixcuDA4OHjnzp3vvPOOXC7vpl8UdUJOAzmYw/FpeC3AkN/orR1Mu5hQT57XHsrlsurIb+GMuww7ChFC/RB9v+4ThurtARoI9Zy+lBACQMig4Bu58dbudrqHHMeVp5QueXy+YaNCqCc88cQTQ4cObVnC5/PXrl17/vz5goICFxeXxMREW1tbANi5c+e1a9eKi4vlcrmTk9PWrVt19Q8ePGhqaqo7/te//uXn56c7XrNmjW7y4bvvvjts2LDMzMzVq1e7u7uXl5cDAMMwcXFx0dHRtbW1fD5/8eLFuqGhEokkJibm6NGjJSUle/fuHT16tP4u+k0s1q9fb25u3tPPzAD3cTKn5WCVD+1iYuAEbJoTFT2XN/c0m1RNQo5oD0zmhTliTogQ6m/sTe2aFM0i6V9rK1fdqRzr3d6se4T6lj6WEE56bCJ9hbp6I0bDZ2mKlmpFKyOWW1hYGDouhLqfr69v273mbWxsnnjiiVaFNE3rFyMFgLCwMN3BwoUL9YVTpkzRHwcFBekOKIpquSKoh4eH7kAmk4WHh+uOhwwZoq8gFovb3r3lXdpflgY9OpbAoVwOADYatHtQb5AZFTOXt/yi9lgBmX5K+1EIYySBIYRQd1k4fcG2AzubHBTm9haclq3Kr7RjrUZPG/XwMxHqI/pYQggAE0InjB87vri42NTUVN8vgRBCA0F0OalsBk9Tys/CWPrizATw+1Tev5O4TbHsqzHsjUqyaxwj6XvvLQghdH9SqfSVZzbEJsZmZt8S8MUThs728fYxdFAIdac++aZNUZSFhYV+YUOEEBogjhdyADDLxViyQR0K4M1htLcZrIxkD2RzmbXkUBjjgVMKEUL9BU3TI0eMHDlipKEDQahHdCUhJIRER0fHxcXduXPnhRdecHJqvTUny7LHjh07d+5cZWWlr6/vunXrcPEJhDrr5s2bN2/ebFUol8t1Wwsa3Pnz58+dO6ffJrGtF1988dlnnx02bFhvRtXv/VlAAGCmszEOy1zgRg8yo+afZROqSNBv2h8nMHNcjTFOhBDq6+rq6mISr5dXVTjbOo4KGoV9JOgRdeXdWqVSrVq1Kjo6euvWraWlpW0rlJWVbd682d3dfe7cuTdu3Bg/fnzX1sRHaCDLyso6efLkyZMnP/3001dffVV3fO3aNUPHdVdpaWn7+xZeuXKlsrKy1+IZCAoVJLmamPBhvJ2Rdr75WVBx83iL3OlaNcw7w750jdVwho4JIYT6l+i4mC9/+zaTym12YxNUqZ/s+Sw7NxsAOA4bXNRFXekhFIlE6enpAHDkyJH7VrC3t4+NjdUdz58/38LCIjExsdX+2gih9i1YsGDBggUA8Nlnnx07dmz37t0AkJycrFQqU1JSysvLp06dmpKSMnz4cF39rKwsKysr3RpLGo0mISGhoqIiJCTExsam1ZXLysqam5vFYvGVK1d8fHz8/PyampouXLhgZWXV8v+0oKAgKSnJ2dk5MDCw5bkxMTFeXl6trpmbm5uSkuLm5hYQENADTwYCADhWQAjAVEdaaMSrncv4cHAKE5pCvX6d/SKVS6giByYzDhIjzWARQqhvqa+vP5t83jHIVffQzMrcVG72+Y9fubq6NhMVn+K5WjrPCZ8tFosNGyfqW3pkDiFF/fXeX11drVKp2n4kRQh1wfTp0wMCAmiadnZ2DgoKGjt2rFKp1P1o/fr1a9asWbRoUUVFxcyZM62srBwcHJ5//vnvv/++5RKjALBnz55Dhw4xDOPt7X306NGPP/549+7dHh4eFy9efO6559566y0A2L59+/vvvz9jxoyYmBhfX98DBw5QFBUVFbVgwYJZs2YVFBRwHKd/v3nvvfcOHDgwadKkmJiYsWPHfv311738tAwQugmEM5yNPbmiAF7yp4OsqCcusJdLSdBv2h8n8qbijhQIIdQxLMvGJsRmFdwWCkQjfAM9PTybm5vvFN1RqVTFpcUSp3uWVMxITCuSlHt6D3IwtQGAyob6b/Zte3nlBoYx4u8OkZHp2UVlOI7729/+tmLFCnd3986eW19fn5eXN3nyZH3J2rVrZ82apTtuamrSarU0baQTVBQKRcus2NhgeF2m0WhYltVqtfoSQojuoPHy77WHv4X/PewQipIvfVUSEtapGEaOHPnBBx8AwH0HbAPAO++8M2HChI8//hgALly4sGHDhrZzEcvKytLT00Ui0bfffrt+/frMzEw3N7eYmJjHH3/8rbfeqqysfO21165cuTJ06NDm5mY/P78jR47Mnz9/48aNW7ZsWbVqFSFk+vTpuktFR0fv3r07JSVFKpWq1Wp/f/8bN2603X9CrVa3/8qKRCIer08uc9U7lFo4X0wogBlGOYGwrcfsqPh5vKUXtOeKybQT2lcC6H8GM8bct4kQGlDUanVpaSnHcXZ2dkY1B6+hoWH7zzspB765u7lC2/Bz3G+qwwqBXERb8mkelRmdLnKXBdlY6N5POZYtKL1j7inXaDS60yUySZO9Ij45IWR4sEF/D9SX9ODHL0LI+vXra2pq9u/f34XTTUxMrK2t3377bX2Jr6+vRCLRPxSJREabELIs2zJUY4PhdZkuIWz5zqHPcCiBkGJ4RKvp+NUoHp/iCzsbw4wZM9qvcPHixcDAQF1Hn1arTUtLa25ubvVuFxoaqivx9vb29PR0c3PTHZeUlBBCkpOTHRwchg4dCgAikWj69OnR0dGzZs2Kj4+fM2cOAFAUNXv27OPHjwNAZGSkRCLZvHmz7so8Hi8+Pr5tQsjn88VicTuvrNH+OxuJ8yWkSQsh1pS9kf5z3IeNGM7M4H2Rwr1xnd16kzt1h+ybxAyVG+nXPQihgSMqJupS6lXagiZAcTWakZ7B4RM69+Vsz/nl+CETfwuhWAgAAoZhZLwkZXqwU7CtnR0AsBybmHszK+e2j6c3ADTWKXgyPqfipFKp/grmthZZeVmYEKKO68GE8JVXXklMTDx16lTXPtzTNC2VSvW7Y7f9qc6jxdhTjDk2wPAeAU3ThJD7hicdFSEdFdELMZiYmOgOKIoiLTok9d8OqlSqwYMH+/n56R4eOHCgbcBC4d1ElKbplsccxxFCWJZtOdSEx+NptVqWZVv+7vrePJVKZW1trd/sPigo6L4ri1IUZcyvrPH7s4ADY11ftB264aOhdtSyC2xqDaRaNqoAACAASURBVBl1VLslhNngT2NSiBAylNT01Ev51+yD/1okPyHnpskNkzEhow0YlQ4hpLSx3F7srC+5nZ7lGOJaWlnmYOcAADbOdrzk1OLyYl1CyPAYtUJlKbds+bUvq2VFQpPeDx71Xd2ZECYkJNTV1U2cOBEA3n777cjIyHPnzpmamnbjLRBCepaWlizLFhcXOzg4NDQ0JCcn68rHjBnT1NS0aNEi3UNCSGeH4Pr7++fn5+fn57u6unIcd/78+TfffFMkEg0ZMuTixYu6pW7Onz+vqzx69Oj//ve/M2fO1H/1Qzo1bhZ1zPFCAn1hAuF9BVtRcfN4L11j/3uLezmaPXmH2/4Y42LSJ38XhFBfdykhys7PoWWJtYft9cQbxpAQchzH0fe8h2q0GjFDa8jd73xpmh43Zdy5A2eK+AWMhGEbtZJKQUC4f8tTqvMrp4ZM6L2gUd/XxYRw4sSJhYWFTU1N8+bNEwqFUVFR9vb2P//8c2pq6sSJEzMzM7ds2WJnZ6cfNvbVV1/pZxwhhLoFj8dbtmzZvHnzIiIiLl++bGlpqSvfsmVLeHh4Xl7esGHD7ty5k5ube/LkyU5d2d7e/q233goLC1u6dGlUVJSFhcWSJUt0V169enVcXFxBQcGtW7ccHBwAYOrUqdOmTRs5cuTjjz+u0WgiIyO//PLLESNGdPvvO5Cl1JD8RmInhiCrvppEmfBh13hmujP1XBR78g7x/1W7JYR53he7ChFCva1Z2yyiZK0LWbVBgmmFYRgREbQs4fEFGpVGIvxrtJ1QIgoeGrTxqZcaGhrMzMxy8/P2nTto7W8nkooIR8qzSjxFbh7uHr0eO+rDupgQ7tmzRz8+DQCsra0B4O2339YVenh4ZGdnt6xva2v7CEEiNKDNmzdv7NixuuMDBw7o5vvp7Nq168iRI2VlZT/99FN5ebmjoyMAuLi4JCYmnjlzpqCgwMfHp+XKTDqLFi1SKBS648DAwG3btumOTUxMzpw5o+tOfOedd6ZNmxYXF7dx48aIiAjdANFZs2adP3/+0qVLEyZMGDp0qH5Vm23btsXGxsbFxQkEgiVLluiGjH755ZeDBw/usWdlYPmjQNc9SPf1/GmhOz3ejn4tht1zm1t/ld2XzX03jhls3sd/K4RQnyKgBfcr5Pd+JPf12NDQC5mX7Qbd7cN093CLvho9fd5fywfUVdQOdvDh8/lyuRwAvDw8X7F+8fSl0xW5VSK+cN6w2YN9BhkmdNRndTEhdHZ2bluoHx3K5/M9PPCbCYS6h5ubmz4JHDduXMsfMQzz+OOP646dnP6aDiEWi3Wrv9yXq6ur/lgul+v3HuTxeGFhf82qDwkJabs2jJ+fn352op2dnb48ODg4OPie+euhoaHt/16o4/rKhhMdYSOG3ROZ+W7U+qvslTIy4oj23eHMxgBa0MdmRyKE+qqgwSMu5V2zdvtrR7Sakmp/1yEGDKml0cGjGIY+f/2iVsgBCzJK+kzo8vSUTJ6tkGIodWWzu9Rl1pyZLU+RyWSPz3zcUAGjfgAXeUeoN3AcV1pa2tTUJBKJ7OzscH8F1HHVKrhWRgQ0hDv1n5xpvhs90Z7eGMP+cIt7+wb7/S3u09FM/8h4EUJGblTQyOKKkvSkTLGdlKKpptJGD6lrWPiUh5/ZW0KGh4QMD1EoFHw+XyAQAMBUhaKgsKBZ1ewS4qKfIYJQd8FPpQj1LJZlL0dd/vPiCVbI8SV8VsVyjdopY6aETZqiX94ToXacvMOxBCY5UKbGMqCpe1gI4fvxzDJPesM1Nr2WzDylneVCfTaa8TTFtBAh1IMoilowfV51dXVWThbLcV4BnjY2Ng8/rde13ElCKpUOGWwsfZio/8GEEKEepNFodny/I1tZ4DXVRywV6wrVKvWl+Ks3v7354poXWjb3rcTGxsbHxwOAtbW1i4uLn59f+zvnsizb2NhoZmbWvb9CP1BYWHjo0CGKohYtWqSbZtlWUlLS6dOneTze+PHj9VtoGIk//zeB0NCB9IgwRyppAe/LVO79ePZYATlTpN3oT785jDG7zxwfhBDqNnK5fJR8lKGjQPehUCjSMtOr66tc7V19vH26ZcMqpVIpEAhabqmFWuqfnzAQMhK/Hv01ny0OmDRMnw0CgEAoGDzGt8lS/cO+H9s5948//vjoo4/i4uKOHj26fv16R0fH3bt3t1M/NTXV39+/nQoDU3Z2dmBgYE5OTlZWVmBgYH5+fts6n3322dSpUwsLC4uLi7/77rveD7IdHIGTdzgAmNV/h1PyadgYQGcu5j/tTatZ+FcS53lQ83Eyp9QaOjKEEEK9Ky4x7vODX0VWXMti8o9kHN/6/WdVVVVdvhohJCrmyke7/rP1ly8+2v3JzgO7qquruzHafgN7CBHqKRUVFddSY4bOuf8GDO7DPJOOx2VlZXl7ez/oCsHBwdu3b9cdHz58ePHixYMHDx45ciQhJDk5OTU11dzcfPz48bqt6jMyMtRqdVxcHAAMGzaMpun4+PjMzEwrK6sJEya037vYj3322WcLFy788ssvAUCpVH7xxReffPJJywq3bt3atGlTYmKij4+PgWJsT2YdqVaBqwnlbdZvE0IdOzH8MIF5fgj95g02soS8cZ39LIX7+3B6icPDz0UIIdQP1NTUHI8/5RTspnsoNTPROmp++mPfSytf7NoFz146F1970ybk7huJWqXe9uvOjU+9NGA/FD0I9hAi1FNS01KlLmb0g8cnWHhaJdxM6ODVFixYMHXq1B9//BEAfvnllzfeeCM2Nnb37t0BAQG67R+OHj2qUCh27NixY8cOpVL57bfffvDBBwkJCd98882IESMaGxu75Zfqc86cOTNz5t3V2GbNmnX69OlWFY4dO6bbmWP37t1Xr17t7fgeJqGKAMCIPrv9YGeNsqEuzuSdms4LtqKKm8i6K2zQceGODK6ZNXRkCKHu1tzcXFBQUF5eznGcoWNBRiHuZryph7xlCU/AVwiUNTU1Xbgax3Gxt+Nt3P/a+k4gFEg8Ta9cN7r3eoPDHkKEekpRWZHU4oFTBAHAzNKsMKOo4xcMCAhITEwEgEWLFi1evFhXuGHDhp07d77zzjtvvvnmpUuX9D2K69atW79+ve54yZIl+/fvX7NmTVd+jT6uuLhYvz2GnZ1dcXFxqwo5OTm5ublPPfVUaGjo5s2bp06d+vXXX3f2Lkqlsqys7PXXX9eXzJw5c8yYMbpjlUpFUVTXZkHcKKMAqKFmrErVUwMoVSqVbhU74zHBCi5PhyP58H4SnVFH/S2KfSdWu34wrPUhFka2EpMRPnt6Go2GZVndzqJGSKVSEUKMdkpP+68sj8cz2sj7BI7jjp76I7U0g2fOEA0w9dT8iXO8vR44XgYNEDX1tSLb1n13lJBRKBQWFhadvVpDQwPXpiPQ1NI0P6OgyxH2V5gQItRTaJohHGmnAscRhulEkqDRaHQfQerq6t5///2YmJiysrL6+vpZs2a1rVxWVvZ///d/CQkJlZWVNTU1A3ZrUIqiCLn7KnAc1/YzHMdx5eXlMTExJiYmr776qru7+8svv9zOON77ommaYZiWb1cSiUSfAdL/04X4k2oAAIZbUT23J32XY+tpj7vDfDf4KUP5dbY4oYp6LxH+k0qt8oYXhoCriaGD+x+jffYAgKZpQogxh2fkz147sRltmt1X/HH6WB5zxzHo7qbWhJB9F39eb/43KysrwwaGDMvRxqGwJk5gd08nIafQdiEbBACBQADa1h/DWC0rEXTum8XGxsbcvFwTqYmjo6PRfgP4iDAhRKinONs7JaentlOhtrwmyDGg4xe8fv362LFjAWDjxo1CofDIkSM2NjYfffTRzZs321ZevXr18OHDT548aWFhsXHjRo1G09n4+wcHB4eSkhLdcWlpqb29fdsKPj4+unmYjo6O9vb2t2/f7mxCKBQKraysNm3adN+f8vl8Pp/fhQ++BCCxWgMAI235/B7bc0IXXk9d/ZEtdm9ePZR/toh8nMyeLiKfp8GX6TDVkVo7mJ7tQvMMnU0Y+bNH07TRhqfVavl8vtH2sxn5K9unEULSizNsg530JRRF2frbX4yJXIi7q/cAQsjVG9dSslPqmxrsLeymT5hmtDsZjhg6/MLuSDPrv6bbKOoUjiK7dpZkb4dYLJYRKatlGd5f7UxlTvnC4XM7eAWO446c+j29PJOYUDTQ1HkubMTkkOHBXQjGyBn6vRSh/ivAP6CpsFGjun8mRjhSe7sqKLBDOxxotdqPPvooISFBN+wzLS1t5syZNjY2hJCTJ0/q6piYmDQ1Nel7w9LS0ubOnWthYcGy7JkzZ7rjF+qTpk2b9vvvv+uOf//992nTpumOU1NTFQoFAMycOTMrK0upVAJAWVlZaWmpp6enoaJtJa+B1KjATgz2EkOHYmhhjtSp6byE+bynvGgBDSfvkAVnWdcD2nfi2LyG9vrhEULGRqlUcm1ybaFEVF2Pyz92P0LI9n3fRVfGCvxMTIdZKpw1Xx3+9lbWLUPHdX8ikWjVnKfrE6tLUotKbxcXJxSaV0ienPtEly+4ePrC8tiiuso6QohGpSlNL/KRuHd8cPKpi6fzmSKH4c627nZ2XvZ2IU4nU8/m5uV2OR6jhT2ECPUUMzOzmeOmn7h8xn/ysFa9Q4SQjGupY4aMdHJyetDpABAZGRkeHq5UKjMzM52cnE6cOKHruZo3b95LL70UExMTHR2tUql0lV1dXZ2cnMLDw+Vy+XfffTdv3rzVq1fPnTs3MjJSIhm4+cRLL700atSoVatWcRx39uzZ69ev68qDgoJOnDgxadKk4cOHh4WFTZ48OTw8/Ndff3322WeNZ7nR+MqBtaLMQwVaUrsnMp+NYXZncTsyuPRa8o8E8mECN8aWesKDXuRB24kffhGEkGEJhUKiab2KjFajlYq60guE2peUklRvqrB2stE9FAgFziPdj1469rr3RsMG9iD2dvYvr9xQU1NTX19vbW3dtb5BPTtbu9dWboyKuZKXkW8mloSPWuju5t7x02/mpVoH3zOwyN7X8eL1S526SJ+ACSFCPShsclh1Xc21EzHOI9zkdpa6aSd1lbX58blDrLwXzlvYzrkrVqwYN24cAJiamrq4uOhXRgGAt956KzQ0NDMzc9GiRRYWFnV1dQDAMMyNGzdSUlKqq6tFItHWrVvPnj1bWFi4fPlyHo83YNdwc3Nzu3nz5tGjRymK+vjjj62trXXlR44cGTp0qO547969x48fz8nJ2bZtm+45NxLxA2yJ0Q6SC+Flf/plf/pSKdmZwf2Wx10tI1fL2Fei2UkO1BMe9CwX2hYzQ9QHEUL++c9/7t+/XyQSbdy4cenSpQ+quXXr1hMnThw8eFAulz+ojtFiGMZRZt+kULbcobf8VunSMYsMGFV/lZyZYul1z8xMiqI0Ak1DQ4NMJjNUVO2jKEoul3fX37ZAIJg8blIXTiSEqKH1IC+GxxSVFf559rhSpfRx9Q7wC+gfM4oxIUSoB9E0/cTjS/xT/E5cOJkQdV0gEWiUGmszq6UTlwSNGNH+pDJPT892xi6OGzdOn7o4O9+dly8QCEaM+Gvbw/Dw8O74Jfo8Gxubtius6seOAgBFUfqtKYyKbs+J4Zb94c2mJ4y3o8bbMQot80c+tz+HnLrDnS0iZ4tYmmKDrahZLvRMZ2q4Vb94r0YDw65du3bv3n348OHKysr58+d7eXmNHDmybbX4+Pgffvjh5s2barW694PsFotnLvrvoR9KpTUm1qYatabpTuNYr5H9r9fFGHCEpdp+2mfoAfs1ccdRFMW/96kjhMRdjq2trpZLbBgz3sncc+duXFy7ePUjdmMaA0wIEepx/v7+/v7+KpVKoVCIxWKxGDsvUIfcHTKKCWG7pDx4wpN+whNqVMxv+dzhXO58CbleQa5XsO/GgYOEmuJATXKgJthTHjJ8JpFR27Zt29tvv+3n5wcAK1eu3L59e9uEUKvVPv/8859++mlYWJghYuweEonkhRXrsnNysguzTc1kQ0KGmJmZGTqoe3Acdyvr1p2yImsL60HePn13H/NBrj5XSm9YOtzTScg0gampqaFC6kO87TzvVJXKLO/+cRbeLixVlo0eP0ZsIgEAa1fbZqvmQycOP73wKYOG2Q0wIUSolwiFQqHQyPZQQ0asuImUKUEuBFdMYzrGQgirfOhVPrRSC+dLyLEC7s8CUqgge26TPbcBAFxMqIn21FhbaqQ15W9B8XFVNWRk0tLS9KM8goKCvvjii7Z1Pvzww6lTpw4fPrx3Q+sRnh4enka5JVJZedmeP/ZqrUBqIU24k/JnzIm5j832G+xr6Li6ImRESPTu6w2iBplcBgAcxxXdLJgZEtE/Bjr2tDlTZ+89sv9OSaFALiIcSYlKGjLJ16rFGq0iqaio7g4hpK8/n5gQIoSQMYqvBAAYbtnH32QMQcyDmc7UTGcGQiGlhlwoJpGlJLKEK2gku7PI7iwAABEDwy2pEGsqyIoKkFO+5pTQSLc/QANFY2OjUqnUd5SZm5tXVFS0qpOenv7rr79ev369qampyzeqqanJyMhoubHbBx98sHLlSt2xUqnUaDRGuz9kY2PjfctZlr0cHZVVdFtLWLnUfGpoeNd2rgMAQsh3h763GGGt26tAIBGCtdnB87+st3juoSu0PSg8w1oxd/nZy+dys/IVzQq51GL+qNluLm4NDQ2GjuseGo2GZVkj3CJrQcS88vLyW9m3TExMOB+NhYN1q6HaKq2quLhYoVBYWFgYqie5/T88kUj00E10MCFECCFjhBMIu4W/BeVvQb3oBwSY1BpyoZjEVJAbFSSrjlwrJ9fK725ZwaPBy5TSVfYxAy9TysuUssAefdSLpFIpn8/XbYcDAA0NDW1TmmeeeWbz5s1KpbK2thYA6urq5HJ5Z3fKtrCw8Pb2vnLlir5EJpPxeHc/EDIMIxKJjDYhBIC2S6Fotdpv9nzLOTMWITYAoFapvz+5+6mpSz3cutL9WFZWRlkxYsk9kzvMvS1zC3JHh4zuQnjGYMm8xQBgzAvJ6BJC4xyaK5PJHBwcBAJBUVVxHacUiP76j2tqUGSkpv8g/okWM6xC6ypzWjjjcYPMDHrEVxYTQoQQMka450T3ovTJIQAA1KrhRgW5UUGSqsnNapJVTzJqSUYtOdRifylLIXiZUW4mlLMUXEwoVxNwNqHsJZSNCGh8WVB3oyjKzc0tMzPT19cXADIzMz3aDKesr6/fuHEjAOhWBImIiPj222+nT5/e2XsxDNPlDjQjFB0bo3EAuY257uHdnRUuHntl5YYuXE2hUFCC1vmwSCqqqsNtEnuKSqUqLCxUqVXubu69sFFWc3NzcXExAWJvZ9+p24WFTvn6t+1OIa66b0w4jjv926mAycMcPO6u7Vff0PTjr3ueW762R+LuSZgQIoSQMcIewh5lLoBwRyrc8e7Tq+YgrYak1pDUGnK7Hm7Xk9v1pEoFVeUkprz1xvcMBTZisBFRDlKwYPi2JqyliJILwVIIciFlIQRTPpgKKFM+iPE9FnXGU0899cUXX8ycObO+vv6HH374/PPPAUCtVr/11ltvvPGGnZ1dWlqarmZ1dbWlpWV0dHTLHYkGrIy8DIsh92xRQNFUEyjVanVnu08BwNzcnFOwrQoVtQoHJ/v71keP6HJ01OW0K8SUBhoghgt0HjpjyrSem5J3Ieri1VvRjJwPQLGRmmC3wIhJER0818rK6umIZYfPHmnmqyg+XZFT5url6unx14LwEpmkmL5TUVGh3+Oqr8A3K4Qe1TvvvIOrdbUvNjZ23rx5ho6iL6lSQX4jMeGDjxkmhL1BQEOgJRV4b/pdpoTb9SSvgRQqoFBBChpJQSOUKkm5EkqaoKSJJFUDAAPwwNXb+TSY8MGUTwkZkPHBhA98GswFFAVgJgCaAlM+MDTQAGYCSl9fh0eD7N5JHyIGxEwn/h60WuA4SiBondC2T8mS5tYfhh+omQWlthMXV7HQ9L/6Gg3NMISmO732vUJL1D2/YL5GzVvlS/wsevUf8NVXX01MTLS1tSWErFmzZvbs2QCg1Wp/+umntWvXtsz9KIqysLAw5oGdvYkA3Cd/oICQzv3x68jlcjkxU7bYJpHVsto7zX5hfo8YJ2orLT3tUv5Vh2BnjuM4juPxeGkFt2TR0vFjxvfE7RJvJkWXxjoEu+hLknJSTW+YjenAYGAdNxe3jatebmxsVKvV8SkJaSSrVQXGlFdZVYkJIUIDy1dffZWfn2/oKO7SaDQMwxjhR4SgoKA+vUJ679ONFw20pHBoogHZisFWTIXatn4NNBxUNJPSJihRwp1apQJE1SpSpYKqZqhSkTo11KqhXk3qNaBioUYFNapWn0q78iG1q2iAzmRsvYoGIAAdzj57G6+a5b4f36trDUkkkl9//VWpVDIMo+/akkgk5eXlrWpaWFhUV+MIxru8nTwTylPNbf4aBEsIEbGCLq/s/fSCpw788XOJupCS8UgzJ1EKV817pgudjeihLiVE2fs6tiyxcrGOS0jooYTwavI1W/97enqtPeyuJ97oeEKoY2JiAgBmJmbqcjXcO/iaqDgTqckjR9rbMCFE6JFERHR0pEEvUCqVAoGAYYx0tURjW9PMmOF4UWPGp8FBQjlIAAAazFmZ7IFfweg6xOrUpJkFhRYaNKDloEZNAKBWBQSgTg0cAZZAvYYAgJoFxf/SNy0HDfeut9fMgpLtRDJJCCGEdPYbok71Q4qYzg2LFTIg+V99rVbLMEwXBoZJeW1neHU/rUa1Yohh1rfAvWo7K3RUaNzuxEZ+g4mFDABYLVuUkP/E+EVdvqBEIlm1ZGV9fX1lZaWZmZlcLu/rmwoYLRWrEtKt0ycVp75v5UfXzKrEVOshXSq2i7fzHTTkZPxpaLHHI+EIVc05ODh0PUQDwYQQIYSMThxuSd8vCBkQMmAhbPU69tLLqtFoWJYTiYy0W0OpVAsEPCP+Aksrk+I/YN/A5/NffGrdifMnc/LzWMKaCU3XzFjtYP+oU/5MTU1xPkhPE9D8tpv4CemearUE1H12XxAwXbydVCqdM2bWsWvHxW4yiYm4sbZRU6hcGvGE0TZr7cCEECGEjI6uhxCXGEUIoY4QCARzp81prwYhmuKc5ox4trZCHDhO6Blw31rqwiyiUQmcvCkBbjvTG0L8Qs7lRtp4/DU/tqakxs9lcA/dLnhI0KW8a9ZuNn/drqgq0N2/yxcc5jfU290rMSWprLosyHbosMlD++jQ4q4khFVVVZcvX05KSpLL5S+++OJ965SUlPz73/8uKioaN27cunXr+mKujBBCBlGvgex6ImJgiDkmhAgh1HVEpWzOTGhOu96cfoOtq9IVaqvL75sQEo264rNXCKsFmhE4eghcBwtcBwsHj2Bk/WeLDmMTHBhUWlGalJjCtxYCgKZK5SlzCw8P76HbjQoaWV5VfjMxTWgrBqBU5U0+Fp6THpv4KNeUSCRjR47ppgANpisJ4ZEjR/bs2cPn82tqau6bEGq12smTJ0+cOHH58uWbN28uKirasmXLo0aKEEIDQ0Il4QgMlVN8o1seCCGE+gausa7+1F7FtRNEe3cyLmNuJRoSwndwFwfc/+M7xRfIpj6pTL6qKclTF2apC7Mg6g+gKKG7r2hoqDhgDM+yf+48QQhJTU+7XXBbIpYMHRxgZ9ure5nMCp/5WG1oZlamSq32DRliZWX18HO6iqKoORGzx9U8lpOfw3KcZ7CHpaVlz92uD+lKQrh69erVq1fv3bv3008/vW+F48ePazSab775hqIoFxeXiRMnvvvuu72w0SRCCPUDuKIMQgh1GVGrGiN/azj3M9fcBDQt9PAT+Y4UDQnhO3o89FzTiGWmEcuIulldmKXOy1Bl31RlJapyUlU5qXVHdvAdPSSB4yUjwxmz/pNFNDY27jr0vUquNbUx02rKbpyJD7D2nRMxuzdjMDc3HxE4gmVZkag3VnKysLAIsgjqhRv1IT0yh/D69evjxo3TzRANDAwkhGRkZIwYMaIbb1FUXGFjY2VmKu3GayKEkDG4mxDiBEKEEOoUQhQ3ztYf/5GtrQQAkd8os9mr+XYuDz2vFUogEnoGCD0DZFMWEZWyOT1WefNqc+p1TVFOXVFO3YndosHB0tERIr9RFNPnF+P4+c9DwsFSU4kIAIQA0qEmqZkZ3pneQwb11EQ+ZIR65O+4tLS0ZQ+slZVVSUlJZy9SV1eXl5c3efJk3UOaplevXq3bpLW8qo75+oVo8yGhr77bXTF3L4VCYcwrFGN4XabRaFiW1WqNdF8vI992ov1XViQS8Xh9/p21W8TjEqMIIdRJnKK+6r+bVdk3AUDg7GM291mh19BHvywlFIsDx4kDxxFWq8pMUNw403zzWnPa9ea067SJuXRkmOn0FRS/T64jAgAcx5Uqyuwlzi0LbbzsYpJiMCEcUHrk45dYLFapVPqHSqVSKu10V55MJrO2tt60aZO+xM/PT7cRJKEFZRQ1pOYmw7JiM7Nuibl7EUJ0oRonDK/LdAlh7wxp6ALdXsZGmxAa8ytrPJRayKgjPBoC5JgQIoRQh2griyu3v6OtKGLMLM3mPCsZMRG6+5tliuGJfENEviGcor4p9rwi+qSmJK/h/CGh11CR78juvVev0Wg0XJuPDDTDNGubDREOMpgeSQidnZ2joqJ0xwqForKy0snJqbMXoWlaKpWGhYW1/ZFMIjhn6hdcm5AVHzd00uRHDRchhIxGcjXRcjBUTomMNK9HCCHjoinKrvjmbU5Rz3fytFrzQU9P8KOlpiYT5plMmKcuyNQU5wkHdeeUqF4mFAp52tZvNs2KZmszuUHiQYbSnWvYHTx4sKioCAAWLFhw4cKFgoICANi3b5+fn5+Xl1c33ggAyh2HA0BjWlz3XhYhhAwrrZYAYPcgQgh1lDIlmlPUi3xH2rz4n95c7kXgMkg6AXhvxQAAIABJREFUOoJieCzLno48u/XHzz7Z+/nWHz6/EnOVENJrYTyiIK/AyoIK/UOO48pTSqaMxe6WgaUrPYRXrlxZsWJFY2NjXV2dp6fnxIkTd+3aBQDr1q3bvXu3o6Ojl5fXyy+/PHLkSH9//+Tk5EOHDnV32MAbNBxSwbIgFgjp9lEBCCFkKDkNBAC8TA0dB0II9RGyyYsEbkNE3oFAG2avnh9+2V0nV1gMt5GqzQUCwdXCGyXHimd5uvId3BnzHtxEoVuEjZ9CLkHs9TiQ0aAFoYr3dMQyCwvcenFg6UpCOHLkyNjYWP1DPp+vO0hLSzM3N9cdb968ec2aNfn5+cOGDTM17f6PNoM8nAoEdi6qUk1RNt+pm7sfEULIUHLqAQDcZfg9F0IIdQjFF4gMN27zzp07ZXSlvZ2jvsTK2Tr1wjX/E9tkYpEkaJJsymKerXM7VzAsiqKmTgib8tik6upqoVDYEx/akfHrSkLI5/Pv+82Bra1ty4cuLi4uLp1e6reD/M3JDtPhLpUnalNirTEhRAj1F7oeQg9MCBFCqC/IKciRWLVeOlHoalejokxK0xXXzyhunBUHjJWFLxE4+xgkwo5gGMba2trQUSCD6auLvPNpKLQfAbqEcNoThg4HIYS6R3Y9AQBP/IoWITTwaLVajuMEgr60iwOfx+dYrnUpzVjOX2snN228cEgRc1qZfEWZfEXoM9w0bInQJ9AQYfaqm6k3Y1Pj1Vq1g5VD2LjJYrHY0BGhh+irCSEA8L0DNSk8YVE6p2ykxbiWPUKoz2vUQEUziBiwl2APIUJoACkqLjp89kg92wgUiIlwRuj0wT6DDB1UhwzyGnTuWKSF7T3Lcmor1C5TXXgikfnCF2QRyxojjyii/lDdSqi4lSBw8ZGFPSEOGNMvl8AghPx4aE8Zv8rax0ZA8wvqiz/Z/dmqOU872DsYOjSjoFarT5w/mVOeq2I1Up5k2phwby9vQwcF0L2rjPayYfaSWMkQmrCqW4mGjgUhhLpB9v/Gi/bDjwkIIfQA5RXl3x3/QRJg6hDk7DDC2XyE9S8xhzMyM+5bma2v6eXw2ieXywPth5ak3SEcAQBWy95Jyp/kP06/ZTEjszCb9Yzd/+0xm7mSNjFXF9yq+u8HpVv+prh+hrBag8be/ZJTkssEVTYethRNAYDEVGo/0unQqcOGjssosCz79U/f5otKzAOtbYMcpAFmB2N+jY6NMXRcAH06IQyxgkiT4QDQnIGbTyCE+oOcegIAHjheFCE0kJyIPOkQ6EQzdzfEoyjKcajL6ZizbWuqY06WvLe04eLDE4ys21k7D/738z1ffXfwvzl5Od0c8b1mhc94YvRCuKVRJNfyc8iqKU+HjgptVYcWSWXhT9i/t9v88XWM3EZbVlCz75PSf6xqvHiYqJQ9Gl5vSshItHK9Zy4izTANoFCpVIYKyXjEJcVr7UAml+keUjTlGOByITGS49oMOe51fXjIqI8ZFScPgrLdirQbuDguQqgfyG4AwBVlEEIDTK2y3lRwz5BLiqIU2tZpkjovXXn8BwDgWztCu/48ezypOs1ukL2UEtU0c/8++4upZLhk8JSCRqAAeDTQFJgJAADkQspDBu4yykNGWQi7/it4uHl4uHk0NDTIZLJ2qlF8gcm4OdKxM5TxkQ3nftaU5tce2VF/ep9J6GzZtGUU04c/lutoWS1D81uXMqDVaoXCrj+/LMtWV1ebmpo+ykUMLjM3U+7Zep9MIqHq6uoMvs9HH/7LowBMnDzKbstt6yo1pfl8O1dDR4QQQo8kF5cYRQgNPDyKaVvIUPeOYuPYml++BI6VTVkk8hvVztVqa2sv5iXXuzmfyiYFjYQQAJ5jfWxsTU0ICNtbcsJcAJ6mVJAVFWJNBVtR/hYUr2cG0lEMTxIyRRI8uTktpuHcL6qc1Poz+wWe/qLBQT1yv17kau+aVpVlamnWspCnZiQSSdcuqNFofj/9e0ZZFmPCY5WstcBy0bTHDZ4+dQ1NMxyroVvtlklI6xJD6MMJIQCE2NCXpMMX1Z5rTo/FhBAh1NfhkFGE0AA0yMXnZlmGue1fn/Ibaxuqiis/3f25ilVLeOLxgeO8avI0RTm0ha3ptKcedJ3b9eTHLO7nS7cUnIh3hwAATYGZEMwEwB8k8pYXBg31pwBYAiyBejUAQJmS5DZATgPJbSC1aoirJHGVZEcGAICYB4FyapwdNdGeHmdHmbTp93pUFCXyGy3yG63Oy1DfyRJ6D+vuGxjAuFGPxe6OF4qFQokIAAghJelFU4ZNoLo6NX7/0QN1Vk0OwXf3sVOr1DsP7dr4zMs8Xt9LYQIHDzuWedLGw05fQgjhKRkzM7N2zuodfe/ZbCnEmvpBNmJR7TlVRpxs0uOGDgchhB6Jbsiop2nXewjZ2srGyN+0NeW6h0StIloNz8JaOmaGwG1wtwSJEELda+LYCdkHcyoUpZau1hRFV5dUXf8zetSc0eZ2VgBACPkz5Zjn6TOPmYnEM5+h+PfZlKKyGT5IYLelcxoO6Fqtu5waIqcGm4OXKSWgAQAqxPQ0Zxg6qL2umIpmyKglsZUktoLcqCS368i1cnKtnPw7mePRMNKammhPhTnSobZ3r9ldBG6D+037LBKJXnjy+cOnjpQ0FHHAiSjRnJDpAX4BXbtaQ0NDQVOxo9xZXyIQChpEyvc/3Sy1MmEo2kZqPW/qXGNIqDrCd/CQ6KSYyoIKKxdrAFCr1KWJd56cuNjQcQH09YRwpDX1jMkIlqJV2TeJSkkJcZ8ThFBfxREoaCQUgJtJVxJCrqmx4dzBxktHiUbd6kcqgP/P3n2HR1WlDQB/z73TayYzk8kkk04SQhoEErr0DoII0gRE18LioqKfuvrp6u667q5+a8NCWUVEBUQRpUvvnQBphBTS26RNb/ee74+JIQmhZDLJTCb39/j4hJM7975pZ+57zznvMWeeDfr7FneEyWAwGG7GYrGeWviHa5nXruZeczgcISyVfdxA/0CF87MIIRldkW7Tj+o7khXbdlKlhYKPM+l306kGG5AIHoshpqf1ybx6PCS8VUdq01pCh4XePQwlD5SBaGRg0wsbbHC2Gh+toI9U4PNafKoKn6rC/0inxWwYF0RMDkGTNSjMpe66AzC25FxkB0WQ0rZrz7yWWCxeOmcxAFAURZLtTAa+f7W1taS4VapSU16dXZwTGRsVGRMMAGaz9ZPNn61csEIi6QFTaxBCj8977Pzl85cyrjhou0zo9+zs5XK5V/xke3ZCGCxEQrH4vKDfEGMG1aBlqULu/RoGg+HF9u/f//HHH1dWVja3/POf/xw/frwHQ+o2JUZspSBIgAQd7Jix3WY4tkN/cAttMgBCgpTR/MRhzh2uEJuD2BxbaT4p8b/neRgMRof05v7K7RBCSQlJSQlJALBj369+klvTR6n6ant5IakUWYfPbrMEcFsh/dJZusiAAWCyBr03mEyQIYAAW0FYaXGlIjTAeVh1YVWcPNrPz69DIflxYJIGTdKQAKC3w/FKfLic3l+Gr9bhn4von4sAAPr5oWmhaFoIMVzVJQsOLbmXtWv+FwiSnzhMNGJ6z5pW2slsEAD4fD62t6rAmXk10z9eyWc1benB5XPlSao9R/bOe9ArxtnuCSGUlpKWlpLm6UDa6tkJIQCkKdFKzUvr4yo0TDbIYPRwJSUl8+bNe+edd2JiYpobExNdnGrS4xQ4S4x28Cmnrfh67Zd/oxq0AMCLTZHOeJyt6dPmGG7MAPeEyGAwftfL+6suxSJZtwrxY2zJOgcYczQxXEWLxVcAr56j/n2VBoBkf/TeYHJC8K3Buvkz550+f+Z8+gUzZeWT3DEJw1MHpHYmJDEbpoagqSHkewBlRry3FO8txQfK6KwGnNWA37tKy7gwWUOMDyBn9QF/9xXC5IT1FaSMNl85Yb5y3HzlODswVDh0imDQOELYAwbEOi8gIIClQzRNN5ddsdF2QmcL7HvrN4En5FXnaz0UoO/o8QlhqhL9XCTfz1NO9XQkDAajk3JycsaPH//HP/7R04F4RlNFmY6UGKV0dbXr36Z0dZyQaOmMx5nEj8HoNr28v+pSibHx6SevCfoJAMBWlEPpGwiBmMWOCAgIMJlMAGB2wNKj1A+FNJuAD4aQy+MIonXHiRAaljZ0WNrQrggvWIieiEVPxIKDJk9W4V0l9M5inN2Av8+nv89nP3XGPkyFpocS00NRP7/OTigleAL/Ja9Sujrj6T3GU7vtlcUN29c0/volP2mYcMgUbnQyuFqspUdACC2cMn/j7m+5oQKJQmo2mAxV+rj+/Xg8XsvD2hakZXScLySEAHCuGns6EAaD0VnJycnFxcUOh6MnVg/rvIIO7jmBKUftV3+ndHXc6P7K5e8A4crknLpv3zPnXmHPf44X16nH5wxGb9PL+6suFRoSGsUPK8ovUwRLrHlXHQ660Rr40KipzimINRaYud9xuhr7cWDbeNa4II9lRCwCRqnRKDX57zQo0OOdxfjnAtvJGvJ4JT5eSb1yDiLFaGoImhpCjFYjfid+TUiJv2TSIsmE+ebMs8bTey05F0yXjpouHWXJ1c7tK1iKIPd9Wd5FE6x5aekLF69cKiq5GeEfTCRRHHmricP6Wl2MOtxD0fmOHt+LpSkRArhci+00sJkHBAxGT8ZisRQKxfDhw6dMmcLnN9WImjlzZt++PlJ+7e46OmW0ccc6W2EW6R8gX/pn17JBAACaxo1a7do3xeMekU5d4vp5GIxeppf3V11t/sx5GVkZB7/6p764TB4Utfi11wOUAQCQq0OPnHAU6HG4GO2cSMbLvGV8LFKMVsajZaF24PH2l9K7SvCuErpAj1dn4dVZNJ8FY9RoaggxJQS5vtMsQfITh/ETh1ENWuPZ/aaz+xy1Fbq9m3R7N3HC4wSDxgkGPHCfU0nNZvO5S+cqtJUquSq1/yCRSNTms7sP7SmpLcNAy4XyGWOneXbfPw6HMzR1yNDUIQCQkjDg8x/WSvvJhVIhANRX1JPl9NhFYz0Ynm/o8QmhlAPRUpTbiK/V4RSFt/QLDAbDBXa7XaPRaDSaioqK5kaj0ejBkLpTR6eMWrLOIzZHvuwNQuR6xW3/R1+m5UGWA5v1B7bYbmb5L/kzU36Gwbgfvby/6gZxQSoZ3YCDVYGvf8iSBwBAei2ecJBTb8OpSvTLRFagV5aWF7Ph4Qji4QigMXlBi3cV07tL8KVavLsE7y6hAKCPBE3UoEnBaEwQIXZpb0PSTyGZtFAycYH1xhXjhYPmKydsN7NtN7Mbt3/B7TtQMmE+JzzuLi+/nnt927HtwkiJUCOq0mWf2npmWtqU/glN5WpMJtPHmz4V9/OThsgBwGy1fbz10ycffDxI7RWDkP7+/i8uff63o7+VFJcRiBwYljBiyYjOV69h9PiEEADSlCi3EZ/XMgkhg9GzqVSqNWvWeDoKj8nXYejIJoTKFf/EDjtLGdypqyLEHTlLHNu/buM/rXnXqt9f4b/41Z5VyI7B8Ihe3l91A/2R7ZhyCFJGs+RqANBa4KEDVL0NzQwjvhtDdrQac/cjEKQpUZqSfHsgVJlhbym9uwQfKKPzdDgvC3+WBWyCGhqAxgYRY4PQ4ICO722IEDemPzemP57zrPnaSdOFw5brFy2ZZ4GmFE///U4vstvt247+rE4Lce4UL5FLJXLpzjN7YqNinAPd+47+JurnJ5AIncdzuBxNWtiOQ78uX/S0y98K9+LxeDMmzbjnYTabjcNpZ8tKRru8/u/pPqQq0aY8OF+Dn2amaTAYPRxN099+++2pU6esVmtycvKTTz4pEAg8HVR30Nmh1goCFqju+5k3KQtw19W5UYkBL62u2/gv6430ms//LJ26VDzuEd+uVcBgdF6v7a+6AW3SG0/vAYTE4x4BAAcNjxx03NTjVDm9ZSyb29MGhFR8WBpNLI0GCpPna/D+Mry/lD5bg49V4mOV1FuXQMCCESo0Joh4IBANUnYsOUQcrmDgWMHAsbShwZJ98e573BcVF5FKNmrdvXOD+Ll5N5ITkwCgrLZMGNxqfw6CJBusug4E5FE2m23XwT3XK3IdBM3GZEJIv0mjJzILfe/JF75BTXVlapi6MgxGjzdv3rysrKxZs2ax2ezt27evX7/+3LlzzetzfFj+7/NFPZWEkWKZcvk/dPs26fZ/37jzK3tViWz+84j0hfcIBqOL9Nr+qhuYzh/AVjMvLpUdHAkAq85ShytwkABtGm7jku7b1aHbkQiGBKAhAejNAUSDDY5U0IfL8aFynFmP95fh/WUUAPBZkKZEIwPRCBUxVIUk9z2tlBD5CVLH3emztElvPbWz3oYIVtsbZjaPrTM2pXyovXehHvR48KsfNliDsWpQ09yZGzWF2p+/XzpnsWej8n6+8GY/QI7YBGTV47rju+1ndiqe/Cvpp/B0UAwGo8Oys7OzsrIuXrzYXFF67ty527dvX7hwoWcD6wZNCwjve75olyAIyZQlnNCY2o3/Mp0/QNVVyR9/o5fsdsVgdFRv7q+6ASc0lhuZIJ3+GABsyKU/yaS5JPw4nlT7ULrtx4FZYcSsMACAajMcrqCPVuBjlTirHh+twEcrMABNIOgrRWkBKE2JBitRkj9iuVpA0XT+oGXP12yTrYFtE6bEshSBLLmakPgDgLneFBzRtEQwRB5c3FjlLNniRDkoGdf1lerdqaS0RMtuCPLXNLdIlbLSihKtVqtQMKnB3fhCQsgjYZACna7GpTdu+JcVGM/ul0xiumMGo+epqqpKTExsub/QoEGDKisrPRhSt8l3lhgVezoOAF78kIDn/qNd9xdr/rXqD55TPPlXlirE00ExGF6nN/dX3YAT0U+58n0AOFuNl5+kAOCz4eSQAKTXezqyrhHAh3mRxLxIAIA6K5ysoo9X4pNV+JIWZzXgrAa8IRcAgEdCggylKNAAOeovR0n+6P7XUgpSx1vqaoIKrolPn9SVFAtqKwAuIzbHzvMjSznBKRZMORDJmjBqwiebPsUxtEgmBgCryVJ9peKpWX/ooi/cvYrLSgRyYZtGtj+3vKKcSQjvzhcSQgAYG4ROV+Nj/kNnwR5z+jEmIWQweqLExMQjR44cPHhw3LhxAJCbm7t+/fqNGzd6Oq7uUNjBTQi7FDsoIuCFD2vXvWUrya3+aJX88Te4fZI8HRSD4V16c3/VbSpM8PBBykLBs/2Ix2N6y95i/lyYEUrMCAUAsNOQXovP1eCz1fhcDc5txBe0+IK2ac4niSBCjBL9UT8/SPRH/fxQjBTdaYElIRBxx88Xi598rrZ666bP88sywF5vr60JNJXMUPnXfLQKcbic0BhOWN+nUwYdLi4rKamnaDpAoly44E8SSc+YKiLg8R31VJtG2kFzuT14mnH38JGEcEIw8U46/SWVNFsosVfctFcWswNDPR0Ug8HoGLlc/tlnn82fPx8AOBxOQ0PDG2+8MXToUE/H1R28YspoC6TEX/mnf9dt/Kc544z289dki14SpIz2dFAMhhfpzf1Vt3nyuKPMiEep0X+G9LQyMm7CJiBViVKVaEU/AACdHa7U4su1+HItTq/FmfU4T4fzdHj778eTCEJFKEYKMVIUK0VREhQhhnBRqyxRIA947Lm/OByO+vp6EbbjkhxrfoatIMNeVWLNu2bNuwYAgwAGS+XcqETZ1CcRh3dbXF6qT2SfXRf3QlCrwUCq2hY+KdxDEfUYPpIQDlUhERvS60ncdyhc3GdOP8ae/King2IwGB02e/bsKVOm5OTk2Gy22NhYPz+/e7/GJ9xzyii2Was/XsVWhfovfqV7QkIcnvzxNxt+WW848lPdN//CDrswbUL3XJrB6BF6bX/VPX4tpneVYD8ObBnLYve00UGbzXby7MmiimKRUDQ4OS1E456J9xI2jAxEIwObHh3aabjeiLPq8bV6nFUPGfW4UO/8D/aV3qocgwDUAhQhhhAeO8KPChaiECFohGSwSMnjAwoIEgwcCwC0UWcrum4rvm4rum4ryqEaa02Xj4onLmAHhrkl+G4gFotHx488kn5C2TeQw+NYjBZtTtXU1InMCOE9+UhCyCHggUC0uwRfDRqReHGfOf24hEkIGYzbOBwO7y++zOfzBwwY4OkouhWFodiAEUC46I4jhMbzv9lL8wlu9xa1Jwi/WU+x/BQNO9bZi64DkxAyGK25vb86cODAu+++W1dX9+CDD77xxhttemyDwfDcc89lZmZardakpKQ333wzKirKjVf3HhYKXjhDA8BfB5L3vxmPl6iorPzq168FURJJjKTWrv/m+OZ+sthZkx90+4XYBCTIUIIMPfJ7i52GQj2+3ohzGyG3EefrcKEeSoy43ITLTQBAQhHd8gwsAgJ4KFAAaj4E8IVqQYo8eKAiChQ8pDKW+SOLQRYma+/S+iM/6X/bTPopWQo1SxHU9H+5mvSTA+HJ4dwRg0fERsUeOXOswdAQKJXPn/WQTNbuV8BoxcVbw5MnT65du9Zuty9evHjKlCm3H5Cenr5mzRqtVhsbG7ty5cqAALftl3Un44OJ3SXUNjI5WSS1VxYxs0YZjGbObXlyK2/YgeJgVkqf/mOGjyZJL5qBs2jRIozxX//616SktmvVvv3224ceesgjUXWbYgO206ARIv6dumSMDUe2A4DoAfffUtyTaPRs/sAxJFNulMEAgK7sr4qLi2fPnr127dqEhITHHnuMz+e/+uqrLQ+gaXrw4MF//OMfORzOp59+OnHixLy8vHb3Cejp3r9K5+twkj9aHtfTBgcBNu/ZohoURJAkAHC4HHV88KVL6TfXFVIcDAiUQsXM8TOk0i6p28kmIEaKYqStfiUoDKVGXKiHXK25huKVGXGJEZcYoNyEayzwe64IAG22o1ABABy3A4CMC/5c5McBKQfEbCRmw+R8ywMmPW3U2cvyW74GEwQt8kd+KvAL4PorkFgukPmz/eSk1J+UyBG7O3aKVyqUc6c/3A0XciODwSAUCj34t+xKQpiRkTFlypR///vfEolk0aJF27ZtGzt2bMsDCgoKRo4c+dZbbz3yyCP//e9/J02adPnyZTcFfEcTghEA7C0n3k8YYjzDzBplMJpgjNdv+dIRggIGNhWVvlKepf21Zv6s+Z4NrKXVq1cDgEQiycvLa/Mpf39/T0TUrQruNV/UnHHaUVPGkgfyE4d3W1QtkWLmCSuD0aTr+qsvv/xy0qRJznWJf//735966qk2CaFEInnqqaecH7/99ttr1qypra31vfKJxQb87hUKAXwyjHR5lwVPMRgMJpbFr8UjV0ODPqvoenAfTf/EZAAwma0fb169/OGnu+0HRyIIE6EwEQwUUWJxq2+ojYZqMy43QZUZV5mhygy1Fqy1gNaKtRaotUC9Dddbod4K9dbmdBEDwCaYK+07JdxWEW6rCLNVhNsqwq0VGntVgKOe1GlBp4XiTLvzEr+/zEpwlsW+WyyNJREAgB8XnNkPlwQhicMab9AANp6ExROaWQKaaMpQJBwg28uSRGzozonEDgdBkhihthVrOol22Asv7dHVX8c8ZDVhHj9Uk/Igi9vhMXGHnb0iEacoXM8nXUkIV69evWTJkmeeeQYAiouLP/jggzYJ4ZkzZ/r06fPiiy8CQHx8vEql6oYNQOJlSC2AchOu6T9ScGaf6fJRZtYogwEAhTcLG/gGtX9Qc4t/kDw/vaixsbGLnlC6wDmjo66u7uzZsy2frx86dCgoKKhv376eC6073LOijOHwjwAgGvUQED3t5ojB8Dld119du3Zt8ODBzo9TU1NLSkoaGhpuX5pYUlJSW1u7bt26yZMn+1I2aDy733jiV/kf3nrxgp/JAQuiiAcCe97gp81ma7NXYMalawEpQcjY9E8un6tK0ew8vOuxuUs9EF9rHAI0QqQRAsAdv9UYmhLCBhvUW0Fvx3o76OxgsEsbbBKzI9ZCwWkrHKKwhQKTzSE11/KM2gBzldRUI3c0+Fu0CkeD2q5lAVVrYxcZfk8sW+wg8mDjsb+UvNfyohbEMRACE8nTEwILwTEhnp4UOBCpJ4UOII0E30Kwt0lH5XOD24050FGntNc1/QOhRqLVXhQ6Uohv+3oNhIBCd3mHJQDwbYOorYhpI4GbDrAjlom4YzEeDrbzaSsAwLXNgVEmrtoPAEAGlKny6taPOEmL4bahwhqWzEy0vxKSh23R1pLPUMT60a4vlXQlITx37twrrzRVNRg5cuQHH3zQ5oDU1NTS0tLMzMz4+PgdO3bEx8d3wzN+BDA+iPgmj97PS54tkjqqSuyVRT1oISyD0UWKyoqFClGbRpaMXVFZ4T0JoZNWq920aVPLG6wdO3aMGjXK9xPCu+45YSvJtRZkEgKRcPDE7o2LwWDcUVf0V9XV1c3pn/ODqqqq2xPCZ599Njs7u7GxcdOmTS5cpb6+Pjc3NyIiornlpZdeWrq0KTkxmUwOh4Po/mdPNK3b/TXdWHs0s3RboUTIwm/Fmw2GtkcZjUZvniJrNBr5fL6t0WKzNQ+Mgd5sENgJf77yViOC8oYqw+1fXteH59p3jwOgIkDFA7ivgqNSAClAq9WtZgdYabQPQGe3OVcx1lubPmWjEVUb3nhsAMtYz7JZSKuetJt5tI1H2eCuA3IPcwsPpb16ezuiHYu2LWfbTfcTazODSLl92icOVjtfYXz2jtTLGxC+WzbYBkbo6PAXC8NG3P4psb5y5p4X2HZzg8X+LWUItMuh9tZnq3m6qRf3h0naDhI2yCMPP/h/7V5r5J43FZWZlGyqwfB4uwfweLx71o9wJSGsqqpqTvAUCoVWq21TqSI6Ovrdd9/t378/i8WSSCT79u1zoWdpbGy8efNmy7HHZcuWNfe87XZYIxXEN3nsXcXUI31TbRcONJzay5+4yIUvsPO8v8NiwnON3W6nKMrhcHg6kPaZzWYOh9NmcSCmaIvZzLO16uOsZivloLr53ejuP9k6nC6WAAAgAElEQVRdu3ZVVVWVlpb+8MMPzhaapg8ePLh48eLuCtBj7j5lVH9oGwAIh01DHZ9GwmAwusK2bdvKy8vd3l9JpdLmbtloNMLvaWEbO3bsAIATJ05MmjQpJycnJKRjFSxlMllERMTu3bubW9RqNZ/f1L0QBMHj8bo/IbTkXKQba0lF0AsV/QDgzRRWTEA7680wxiJR20ec3gNjLBaL06IHZVRcV4b9Xj4DA91IhfcPb/nuzOPyuv8L8eB37x5XDY+yJ/2Voiger+leBdsstMWM7RZsNmG7FduttNmAKQpbTJhyYJsFU1Ra0rDhge1nqA1lE2yFWU2nwjQ2t0oOabPh9rE+mVTy6iBBu6scDRZ+4xUSU/e49yN4QiCabnIQiz2nn5TXr53wKJ205qyC1tdrzXp2gITgCVqW4REGcqpsjii5stVrEIQkD/pTcvv3AHrtEEO6TZ6Uyu/ED9eVhFAgEFitTXm92Wzmcrlt8s4jR468+eabZ8+eTUhI+P7776dOnZqdnd3RsQixWKxUKl977bXmloSEhObf43Y7rBlRgM7YT9aQohFT6y4ccKQfEc58ApEeqKno/R0WE55rnAlhc4flbUiSvD0hHJA04NQv5zjBrfo4UodiYmLYbHZ3hnf3n+yXX35pMBhu3ry5du1aZwuLxVq4cOGgQYO6K0CPucuUUdqoM185iUiWaKQHysncnf7gVv1vm2ULVvGT23kIymD4sHXr1nVFfxUREXHjxg3nx7m5uSKRSKlU3ungESNGyOXyzMzMjiaEAMBmsyMjI10PtAuYzv0GAOlh46/WQx8Jei6+B0+PnzJ2svC04PT5czQHgwOL9fy44Qkt35qtJkuAqCfN9W1sbLx07XJ1fU24OnRA0gAOp8trwyAOj+zE/od+s5e7MRjRyAfJQRNuv79yDSmRBf55HQBYCwv56T+KooJaftZWWauZODhwYNr9n1A8bi6kTeaL71yH4D64kixpNJqioiLnx0VFRRqNps0Bv/766+TJk1NSUgBg6dKlr7/++unTpydPntyhqxAEIRQKx48ff/8vCeRDPxnKrMcXhXExgWH2yiJL1nl+IrNLLKNXk8lkQyPTzlw9HxCnZrFZVrO1JrNi+uCp3ZwN3tO+ffu0Wu3evXsffbTXrf7N12MAiGpvyqjl+iWgKW5sCimVd3tc94II2mKq3fCO3+zlXpivMhhdp4v6q0WLFs2YMeP111/XaDQfffTRwoULnQ++165dGxcXN3LkyIKCAi6XGxwcDADbtm2rra1NTk52YwCeQluM5ozTgND/WB4ABKuHkVwvKoPdYQihUcNGjRo2ymg08ng8k8m0+vvPWHEsoVQIACadsTGrbuF8d2YsXer0hTOHMo6KwqW8QN7J2vOHvj6yeOoiTXDbm39GR2k0GvoAhSNxy8lT5jJj3NC47g/GlQcwc+fO3bRpk8PhwBhv2LBh7ty5zvbNmzc7E8WQkJDLly/b7XYAKCwsrKmpCQ3tph0gnLVGfyujBUMmAYDxzL7uuS6D4c3GjRz72NjFwhKOLcPoXy1eMeuZAYn9PR1UOxQKhfPuymw21/+u5UoMn+Rcpi9iQ0B7k0Es2ecBgBfnjcOk4rFzpNMeA4CGHz9r/HktdGR9BYPR03VFfzVkyJAVK1YkJCSo1erCwsK//e1vzvZt27ZdunQJAAoKClJSUlQqlUwme+2117Zs2aJWqzv/tXic+dJRbLNWq5MykeqBQDRJ46XLRjpKKBSSJCkWi19Y8pzGqDJebTBebVDrlS8sXimR9IyNfBoaGg5cOxSUEiLxl3C4HJnaPyA1+Ls9WzDT4Xcam82eNWJ6+YViY6MBAMxGc9nl4rEJo8SdG+tzjSsjhMuWLfvhhx+SkpL4fD5FUevXr3e2v/DCC5999llYWNiTTz75888/9+3bt2/fvmfPnl21alW/fv3cGvYdTQgmPsygfyvDb40br9v5lSX7HNVQQ/rdmnFRWVX5y6Ff6y06AoFcoJg1fkZvKGrPYAQHBS30pn0m7mTz5s2vvPJKcXFxc8vWrVubnzr5pHzdnSvKYGzNuQQAvLjUbo7qPoknzGcpg+u+fU9/5CdHXaX/o68gjutVzhiMnqUr+qu33nrrlVdeMRqNLcuH7t+/3/nB+PHjq6qqamtruVyu166tcIHx3G8AsJY/DgD+J6knDw7eAY/H64qN6bvBlawr4rBWC1kJgnBI6OrqapVK5amoupRWqz1w8mCDsYHPEYxKHRkeFt5114qPiw/VhB4/d7Iiu0LjFzBv+iy53DOzgVxJCPl8/qFDhzIyMux2e//+/ZsX8mVkZDiTWqFQeOTIkfz8/Jqamj59+nRnTeRRasQl4XwNbmRJeIlDzZePGc8fkExY4PxsaVnpf3dvCEoJDWCrAcBmtX267fMVc5YzOSGD4Q2qqqpWrVq1c+fOF1544dtvv71y5cr7778/adKkzpyTpuk333zzu+++4/P5q1ateuKJJ+505L/+9a8DBw5s2bKlmzuEu5QYtZXeoPT1LH8VS9XhNULdht9/pFIq165/y3z1VM3qlxVPvU2I2imDwWD4mK7or5z4fH5ziZd2eeqWsYs4aspsRTkUm7+JOyRWiqaG+MjwoG/QGXQccdvHfHqD/uufvuEIuVwWZ2DsgNSUVK+tBdhRl65e2nVxb0BCEJcrdlDUtye39r+ROG38lK67olgsnjquY6vquoKLa3YRQomJiSkpKS3Lusjl8pbLTKOiooYMGdLNO+QIWTAkAFEYjlbSomHTAMBeWtD82V+P7NYMCmOxm9JgDpcTMCB41+Hd7Z+LwWC4SeHNwjXfr/tk82efbPr00PHDFNV+JemMjIwxY8akpKSQJEkQxLRp08aOHbtly5bOXHrNmjXbt28/ePDgV1999corr5w6dardw86ePbt58+YDBw50/wzVfB0AQGR7s4csWRfAi4cHm3Ei+gW88CFLGWwrvl79wfOOqhJPR8RgdLmu6K96J+PZ/YDxEcUII8F/MZEgfCSz8BEhgSGGOn3LlqLrNzPzMkUDZNL+cl6C+GjF6Q0/bPRUeO5lt9v3nN2vGRjO4XIAgCDJoATN5YqrWq3W06F1uR5cxOlOJgQTAPBbGeZGJytX/FM2d0Xzp/Q2PdG6QBCHy6k11nd3iAxGb3L6wplNJ7aw4vjyASpRkizdlLXu+/+2u/xAKBRaLBYACAoKysrKAgC73a7T6Tpz9bVr17766qsRERFpaWnLli1rLgnYktVq/eMf//jJJ5905kIuu6nHABDRbkUZ5wLCft64gLANliJIufJ9TmiMo7ay+qNV1tx0T0fEYHStruiveiOMTRcOAcBn/HEBfHi0jw/el/ZoCf0ScLnDbrU7/0nT9LWrVyOTovmCpkFsRaiykqjJL8j3XIxuU15eTsjbzp0UBYszr2d6JJ7u5IN/eOODnHVlMABwo/u3nLzU7r46zMMoL4ExvnT18n+3fLn+hy+37fpRr9ff+zUMr0dR1OH0o5qk0Oa/Ppla1igyZOdk337wgAEDbty4Ybfbly1btnTp0hkzZnz00UdTp051+eoY45ycnAEDBjSfPzu7nev+7W9/mzlzZrctdW6j3AQAoBG2badNelvxdcRic6O9sQLQ7UixTPnse/zEYbRJX/PF64YTOz0dEYPRhdzeX/VOluuXqIaaWoHqPL/fs/1Ivgd2CmPcDYvFemrOE3SutfxySWVO+Y3D2RKhNLFvQstj/IL9r+X6QsrkcDiAbJsUkCyWxW71SDzdyQf/8gYpkT8XbjTiQj1u89BdKVSYzVYu/9ZkaGOjMVTuvYtzeg+M8YatX9fw6pVxKoGN0DoaP/j+40cnLogM966NkhgdVVtbiyRtKwT4Bftn5GX1i2ubgHG53KtXrwLAuHHjdu/enZ6e/sEHH/Tp08flqxsMBovF0lzMTSqVVldXtznmypUrv/zyy/nz553bQLumvr4+JydHJpM1t/zlL3/5wx/+4PzYZDI5HI47bfRcbuQAIClYDAa6Zbvt6kmgaTIiwWhzgM3gcmz3ZDQa3bj8g/vIC7R/oPXY9oZtq03Fufxpj3dyM1j3hud23hyec99Uh+Memyl7itlsdte+Xl3h7j9ZHo/n9v6qdzKdPwAAG8Tj+Wy0PM4HRyl8gEwme2bRU2azWa/XW63Wb89safN2hghE4/ZXgvQsKpWKOm6HiFaNhhpdnwFRHoqo+/hgQkgiGBNE/FhI7yvFz8S16s0fmjjzs81fCGOlIpkYABqqG+gi2+RFblgCzuikzKzMam5dQESg859cAU+TFr790I4XH3/Bs4ExOq+d2aG4/ZH5o0ePfv31119++SUAJCcnd35/LZFIxOFwmkebdTrd7cUYHn/88VdeeaWsrKyhoQEAioqKxGKxUHjbgN1dyWSymJiYEydONLeIxWIWq6mDJQiCx+PdKSGstjgAcKScLxK1+p4YaIcJQDxwtLCLawlijN1brlD00FOmsJj67/9jO7cf1VfJH3udELpeYN3t4bmXN4fnTAh5PNc3d+5SJEl6c0J4z5+s2/urXoi2GM1XT2KEtknHLYshFF76q8oA+L3WkcPhoBvb5n4N5bWj43v2pt8Wi8VgMMhksjhldGFJqTykaXsCfa3OzyyOjIh0zg/3YT6YEALAzDD0YyH8UEg/0/ppk0QiWfXY878dO1icUYwAJWpiRy8d1XzTxvCgyznpikhlyxZEIAvbZjAYvPZmi3E/FAoF0tNtGutLtaPih9x+sFwuLygouL3dZQihyMjI7Ozs+Ph4AMjOzo6Kavucz2w2v/nmmwBA0zQAzJs37/PPP58ypcMlxQiCaDlCeJ8wQJUZA4CK3zZDFg2fxu2TyFZ10yau7iVIGc1SBNX+923rjSvVHzynePKv3lwolcFwgdv7q17IknkO223nRInlXOXzCczwYA/AYrFGxA87lnkqKE6DCAQA9ZX1fkZJbHSsp0NzkbZWu3XPtgaqEfFIbHAkaOJTxQMuXLpkpi1cgtNXHT153uQOTQMpLCrce3K/wWbkEOxYTcz4B8b1iESjB4TogllhBI+kjlTgchMOErT6KXI4nC6tHstwjYOiEHHbbyOB7lSOktFTEAQxYeC4Pen7gxKb8oG6Uq3CKouNaefNIzY2VqFQvPHGG7NmzWpOrlQqVUfH61pasmTJhx9+OG3atIaGhg0bNnzxxRcAYLVan3vuuTfffLO5GgQA1NXVyeXyM2fOBAYGuny5jqqzgo0GGRd4tw+TIMQODOu2SNyOExoTsOrj2v++bSvO1R/dLntkpacjYjDcqSv6q97GfO0UAOwUD3sonOgj8dKp14w2Hhg6Uq0M/O3sQaPdxGFxkkLjxiwY7bUz5+/OarWu/XG9MkWt5jRNY8mvKtbUqV587Hmapu80r+cuzl06vy/rQFBCiIIQA8B1bcGNTXkrlix34VTdzDcTQjEbJmmIHUX09pt4Rb8e+Tva20SH9jlXeUmmbjWdj7Cg5tVfjJ5r0IBBgQGBe0/sr9fVSgTiwX0GDps8tN03j+Li4kOHDh06dOjTTz9tbvzqq69mzpzp8tVfeOGFrKwslUpFEMTKlSudJR8oitqzZ8+qVataHkkQRGRkZDdPYKswYQAIvG140DeQUrnyT++bzh/gxfWAQqkMRod0RX/Vq2CH3ZJzEQAOSNK2MMODPUp0n+joPtGejsINzl++wAsXsTjs5hY/lezGpXyr1crltt198Z5omj546bAm7daTXIlCWmOqvpJxZUDSAPdE3GV8MyEEgHmRaEcRbC2gV/Rr6mUcNWUsRRD0zGcYPm/wwLQzX581iUwCsQAAMMblmaVjkx7ooc+cGG1ogjV/mPe4Xq8Xi8V3OSwqKqqurs69l+bxeN98843D4Wg5Z0MgEBQVFbU50s/PLz+/uwtnV5oAAALvtgd1z4bYHOEwpu4iwwd1RX/Vq1CNtdhqvsyPDQ5WDVP1sPd6Z130KzlX7ZQ9RKUZO3yM1y7WZdxFSWWJOKTtwAMSkvX19S7MFWpoaABR299k/yB5Zl629yeEPvtI5sEwQsiCE1W4zIgBwHz1VOU7T+j2bvJ0XIz2sdnsFYuWK+v8tJcqK86X6NLrHk55cFhqz16jzOio0tLSt99+u2XLF198cezYsc6f2Wtn8FeaMQCoBT3sZojBYHRdf9VLsOSB/0579+nQPy+L6WH3ojRNr/1u/aHi49CXzUkQ5rOL/2/jh9U1bUtYM7yfSCCyW21tGrGN5vNdeUyLEMJ02yp6GGPS6+eLgg+PEApZMDmE+LGQ3laIn0tApJ8CAAzHd4jHzkFc330a35Px+fxHZswBgHuOIzF8lclkcpZxb5aRkaFWqz0VTzeocI4QCjwdB4PB6KBe2F+5V7UZPjfHE1yYE9EDbpdbOnfpvF5mVmiaKuGJ/MS8gfwf929fvuhpzwbWksPhqKmpQQgplUqvreXrcanJg9L3b9Ak3yreRjkovo0rlUpdOJufnx9hbPt4t65EOzSmB2xn4LMJIQDMi0Q/FsLWQvq5BIITGsONTLAWZBjP7BWNesjToTEYjLZee+01rVabkZHx6quvOlvsdvu2bduee+45zwbWpe5UYrQ3sGSeIf2U7GDf39+J4Xt6Z3/lXt/l0w4aZoUR8g6v1fKwazcy/Pu1KnnAYrOqrfXOUtXe4MSZE8cyThJSEgNAIzUuZWxaSqqng/JGgarA4RGDT6efk4TLeAJuo7bRUWJdNnOJa2dDCE0bPuWnMzuCkkNYbBYA1JVqZSZx/G27LrtXRUXFjfwbQeqg0JBQDofj2kl8OSGcFkKI2NTpKlxkwGEiJBo7x1qQoT/8k3DEjE5ulMxgMLqBUCj85ptvoqN9YeX6nVSaAQDUvW+EkGqs1a57C5Es8eRFknHzoCfMqGEw7qI39Ffu9W0eDQCL+vS8x2EUpli3FTjACLykLvrFK5eOl5xRp93a6Wd/xiGxUBwX29eDUXmtsSPGJMclXbh2saG8ITk4LmV8SmfWmCT2SwhQKPcc3dtoqWWT7MFRd6yi5xZGo3Hj9k31HB0SEKgW4SPUrBHT42LjXDiVL+dFAhZMDyU259PbCvGLiYgfP5gdGGqvLDZfOSFIGe3p6BgMRiv/+Mc/9Hr9tWvXhg0b5ulYus/tVUYdtZU1n74sHjNHNPJBz8XV5UiJv3jcI/pDP+h2fW3JOi+b/3wP3XGR0Tv1zv7KjW404gtaLGHDtJCe9zAoWK4uaqwQSlttkszDXDab7Q3bl5+6elqV1GrqclC85sjFo0xCeCdyuXzS6InuOpsqQPXY3KXuOtvdbdy+CfVhqwXBNpuNw+FABPxwfPvz6mAXSvT7ckIIAI9EoM35sLWAfjGRAIREox6q3/KR/uBWNyaEVdVVpy+drdfVhwRqhqcOc20dKoPBAACxWDxkyJAzZ86UlpZi3LQye+jQoRqNxrOBdZ3bq4xass5RddX2Ml/f8Boh6YzHebED6r5931aYVf3eCvGEBeLxjzDTNxg9RS/sr9zomzwaAOZGEvwe+Bc/dsTYD7/9hN2fw+FxAADTuCyjZEaat+xxbXFYRK2HpBBCJrvZU/EwuojBYKijG4IEIS0b/aL9z14+N2HU+I6erQf+IXbElBBCyqHO1eB8HY6SIEHqeN2ejfayAuuNK9zo5M6f/7djB84VXZRHKzlqblb9jbObzi2cOD8iLKLzZ2YweiGbzTZhwoSCgoLY2NjmKRYqlcqHb7CcVUYDW1QZtZfmAQBb08djMXUjbswA1Z/X6nZvNBz/Rbdnozn9mGze85xw5jE2owfohf2Vu2CAb/MwACzq0/OGBwFAKBQ+O2/5T/t+rjKW0QgLEO+RYbNjo2M8HVcTFsG+vZHTXiOjx6Fp+tT505dvXLE6rHaDrZGrC2p9gEAsrCmqceHMPp4Q8kiYEUpsyqO3FeJXkhFisYUjHtTt/lp/eFvnE8Lq6uozRReaaxOJ/SWiVPHW/dte/sNLnQ6cweiNzp8/bzAYCgsLvXaXCPey0VBvBTYBLWsq2MryAYCj6S2lVgie0G/2cn7yiPrNH9orblZ/vEo0YoZkymKCL7r3ixkMz+lt/ZUbnarCBXocLEQPBPa8BYROUql02SNLAYCiKNdqeDocjqqqKp1epw5U+/n5uTG2uJDY7Ko8P5WsuaW2VJsa5YZREIbHbfxxU62wwT9JIQKwmCynf73ADRREthiIMuqM4XJXVjL3yGczHfJIJAKArYVNpZ9EI6YjLt+SfaHzM7LSs6/4hclatiACURKoqXElNWcwGGw2OzQ0tPfcXVWaMAZQ8RHx+00RphyOiiIgCHZQ75powI1KVL38uXj8PIQIw7Edle88YTy1G7ymZB+Dcbve1l+5C202sNc890fttkf7ILKn5oO3uJYN3si78X8bPvz69Pe/5O1Z/euar3/YaLVa3RXShFHj5Y3S8qxSQ4NeX68rzyjR2FUjh4x01/kZnlJUXFSOq/w1Cuc/eQKeUqYoLCt0OBzOFoxx4426wQPSXDi57yeEkzSEPxcuafGNRgwAhEAsTJsAGBuO/dzJMxvNJjan7RA8YiFvWFLMYPREqampXC73559/ttnabhTrkypuW0DoqCjClIOl1CAOz1NReQpic6TTlwWs+pgblUgbGuu3flz1f89a867e+5UMhif0tv7KXQzpJ4LqclNM1xdF+f4taLsaGxu/P/KDMlWtjgkKCA0MTg4xqK2bf93qrvOTJLlkzqNLRy6Mgz4JROzjY5bMnzmPYCo593zXC3PFga02SEx7YLD1pjH/fK62vKYyv6LmfPmCMXNd28rbB59sZedkn0g/ZXVYxTzxxBHj1YHqGaHE1zforYX49f4IAESjHzKc3Gm6cEg8cSFLHujyhSKCwvJKbnIFre7bKL1DqVQ2J+sMBuP+3bhxY8uWLVu2bGnZuHXr1rlz53oqpC71+wLCWy22sjzoTfNFb8cOjlT+6T1z+vHGX9bbywpqVr/Mjh/Kn/UHljLY06ExGK30tv7KXUrOnZQCZKsHP+Hf88cHXXLm0hlZjLzlVgQCibA0r8RqtXK5btuTUROs0QQzy1l9CkIEAG7ZwuFxUgYPnBg6xmK3BgcGaTQal+cs+NoDg207f9yRuZuM4wmT/GwReN3er85fPr8gigCAL6/TNAYAYMnVwkHjMOXQ7d3UmWsl9EuACspqujUeWF9ZF6vowxQaZTBcExUVVXebmTNnejquruLchLDlnhP2kjwAYPZq5/cfqfrzOsnUpYjDs2eernz3KdPFw54OisFopbf1V26BrWZh8RUaUGiKK7PaAMBut7s3pO5Xqa0WStqukUZ8QqfTeSQeRk8RFxWrK29s00jVOhITE5PiE8PDwzszg92nRgjLy8uvN+YFJTYVYGWxWSEp4fvPHnx52YBoKbrRiHeX4OmhCAAkkxebLh0xXTgoHj2bHRzp2uVYLNYz8578ce/2cn0JcBGYISUyacK4CW77ehi+xWQyFRUXmSymkKCQgIAAT4fjjUiSlMlkNputoKAgICDA39/f0xF1LeeeE+pWI4TOijK9osTo3SE2RzJxgXDwxNpfv7JfPkKb9J6OiMFopbf1V25Rl3WJRdnOC/o9lNCxbxdN08fPHD+bc8FEmXksboQ87MEJM3ro83eFTH7TWC4QC1o2YgstEjGVtBjtoCiqtrbWbrcHKAPCOSFlNyuV4SoAoGm6IrP0gfjhHA6n82tQfSohzMzLloS0rdREytmVFRVP9Q3+n7PUp1nU9FAWAJD+AcJhUw3Hduj2bpI/8abLVxSLxY/NXUJRlMlkcm3OLqOXOHXu1OGMY6wALskmrVnmYFbgoocWstlMGei2tm7d+uyzz1osljVr1ixYsGDUqFHr1q2LifGWct7u5ZwyqmoeIcTYXl4ICLF78ZTRNkipnD/z6YBHmdLNDG/Uq/ort8g7dy4YoCB48EPCjs0X3bHv13z6pnKQ2rkBt1avW7N53cqlz/bEpXGD+6dd/GWtYFB4c4vVZFGy5T00v2V0qYzszF0nd9MSBATgRmpg1IC+fjHnMi5YHBYhW7ho+LyIcPeUoPOphNDhsCNO264BE0BR1B9iibcuUvtK8fVGHCtFACCZuMB4dr8547StKIcT1qltr0iSZLLBdlmt1uu516vqa0JUwdF9ol0rxuUDikuKD+UeDx7UtEMJqMHQYPhx90/zZ87zaFxep7q6+n/+539OnDixdWvT8vqRI0ceOXLEV2+w2owQ2qtLsNXM8lcRAqY/YTC8XW/rr9yCV3QFAIKTUzr0KrPZnFWZEzTw1gbcArGgRq7PzM5KjE9wc4hdT6FQzEidsufcb6xADpvHNteZpBbR4tlLPB0Xw+uUlJb8dHaHJjWsecXp1aLsVFby8oVPu/1aPpUQRof1SU/PEEqELRupOltgYCCPAwuiiPXX6S+y6Q+GkABAiPzEox/S7fvOknOxkwkho13Z17N/PvErGcjhi/kXc64Qx/GSGYsCVa5X8em5jl84oerb6gsX+okKbhRhjFsuK2dkZmaOHDmy5e2UXC5vaGjwYEhdqqmozO8jhM69cJjhwQ7A2HByJyGU8BOHIRYz3s7oVr2tv+o8U1W53FRZR0pG9O9YL6fVaglJ2wfKkgBpXkl+T0wIAWBA4oC46Li8/LxGgy40JiQkJOTer2H0PofOHFEnalreKCrClBcuXho9YrTbr+XiUPu+ffsWLFiwcOHCgwcPtnsARVHr16+fM2fOvHnzNm7c2IkIOyAqMkpmljRU3+qOq/IrUsIG8Hg8AHg2ngCAr3Jpw+8LksUTFvgveVU06qHuCa9XMZlM245tVw0KVoYEiPzEqohA/5SAb379FmN87xf7HL3ZyLpthxLMwm7cd8g3aDSarKyslnny8ePHo6Nd2WK1R2jadqJ5hLDUWVGGWUB4v6j6moZtn9Z9/W7FXxY1bF9jryzydESMXqS39ZVeZ5IAACAASURBVFedl3HhIgBkyvtrRB27+WSz2Zhq2+iwO/gcns1m66F13Xk8XkJ8wvDBw5hskHEneouexW47dGfFtq64l3ZlhPDUqVPz5s1bvXo1TdMPP/zwb7/9lpqa2uaYJ554IjMz8/nnn+dyuRUVFe4I9d4QQn+Y//jB4wez0nMsDhuf5E7oPyYlaYDzs8n+aEQgOlGJN+XRz8QRAIBYbEHK6O6JrbfJyM4QhIpbPtUgWaRDiisrK9VqtQcD8wiJQGywWtncVjkhSSE3Fpj2DdHR0VFRUQ8++CBBECUlJTt27MjPz58+fbqn4+oqVa1HCG2lzooyzAjh/SL9A/wXvmg4/out5Ibh6HbD0e2c8Djh0Mn8pOEEnynPwOhava2/6jx9djoA0FH9O/rCgIAA1Ei3mVOTd+56LbvqYnE6YJCyxA+NmxkcxGxOw/ApHJKDaYyIVlPJ2IjdFZPLXEkIP/roo5UrVz766KMAkJ2d/fHHH3/zzTctDzh58uSOHTtu3rwplUrvcI6uwmKxJo2ZNAkmtfvZFXHEiUrqk0z66TiCmajXpep19VxB22wHcQm9Xt8LE8JRaQ/897cNIQPCm1t0Wl20KoqZL3q777777vPPPz948GBeXl5aWtqaNWt8tfROvRUsFEjYIPi9G7aX5QMAmykx2hGCtAmCtAn20nzjmT2mC4dtN7NtN7MbfljNjR0oSHmAnzAUcZk6DYyu0nv6Kzeg6aDKqwAQM2BAR19KEMTs0TO3Hv1RHq8i2STloDKOXmm0GpLGpzjfRmmKWr9rw/JZTwYomQreDN+RlpC6N++AKurWbbOxwRCuCOuKa7mSEJ4/f/6JJ55wfjxy5MhVq1a1OeDo0aMTJ07cs2fPyZMnIyMjn3nmGS8pnfRwBBF8js5qwMcq8Cg1cy/ehdTKoKtFOUJpq4f0lMHROwtzBwcFTe8/ed/5A0hOEmzSXmeNEIXOnMFsV9UONpu9cuXKlStXejqQLudcQKgWNHVEVF01bdQRIj9SKvdoXD0SWxPlN+dZ6YNPmtOPGS8csuZdsWSesWSeQWwOL24QL2EoL24QKZZ5OkyGr+k9/VXn5Wbnih36Eq46LdqVh8Kx0bHPB/7pwIlDJZUlcj9/GSlNmjag+aEqQZLq/po9R/ctnbPYrVEzGJ7UPzG5qLw442qWMEjMYrN0lY0Ku2zWnAe74lquJIRVVVXNt/Vyufz2GaFFRUWHDh3i8XhTp07dtGnT9u3bjx492tHBkMbGxps3b44dO7a55bHHHps9e7bzY5PJ5HA4XCg3vCSCfDeD9dFV20BxF+5tajQavXnwpxvCCwnWmI7ozXIRyWpaCG4xWQQmDo/HMxgMHg/PZXa7naIoF1YsxETFhIeEl5eXmyym4P7BUqnUYrG4PTyz2czhcLy2muvdf7I8Hs9qtc6ZM2fnzp3NX8KKFSuefvrppKSk7oqx+zTtSv/7AkJbeQEw80U7B3G4zgFD2tBgunLCfPmYNf+a+eop89VTgBBHE83rl8rvP5KtDvd0pAxfYDQae09/1Xl5ly4nAVQEpZCuvr2LxeKHpszU6/VisfjdL99r827C5rIbzHVuCJTB8CYzJ80Yrh2amZtlsVliUmMiwsO76EKuJIQCgaC5GIbZbL59J00+ny8UCr/66iuCIKZPnx4QEHD58uWUlI5VGRaLxUql8rXXXmtuSUxMbL4WQRA8Hs+FhPBPSfB/WfZfy4gGJNR0cBuc+4cx9uYNRrsnvOXzntq8a2sDz4x4BDZQASzFggWLhUJhm8MMBgNCqGW7N3/3nAmhs0yRC7p6gJQkSW9OCO/5kz116pRIJGoZf0hIyOHDh33yBqvC1GoBIUuhJv2UgoFjPBqUjyBEfqLh00XDp1O6OvPVU5ass9YbV2wlubaSXP2BLep3thC8th0Rg9FRFy9e7D39VeexCi8DgDSuwwsI20Widm7/SOSl730MRmcoFIpRige6+iquJIQhISE3b94cPnw4ANy8efP2+kihoaFBQUHObE0oFMrl8urq6o5ehSAIoVA4fvx4FyK8C7UAZkcQm/PptTn0XwcyfUcXClAG/Gnpirq6usbGRrlcfvuC0oysjD2n99k5DgzAtXNmjJgaGxPrkVAZXoIkyTajr3a7XSAQ3On4Hq2ydYlRdmCY+q1v7nI8wwWkxF80YrpoxHRst1nzrliyzgPJIri++RvF6Ga9qr/qpEajLaohh0JESpp7EsIgaaDOaOYLby1Hqq+sSw7t55aTMxi9kCvbTsydO3fDhg00TVMUtXHjxrlz5zrbN2zY4Jw+Onfu3KysrNLSUgC4fPmyVqtNTk52Y9CdtCKOAIA1ObSx9bw/qq66btO/bSW5ngnLFyGE5HJ5ZGTk7dlgzvWcny/tlA8KVCeHBCWH+A8M2Hzqx8KbhR6Jk+ElkpKSzp49u2/fPuc/s7Oz165d+8ADXf5gzCPalBhldCnE5vDiUv0e/qPfrKfgDvOWa7/6e8Vbi2v/+7Zu99fmy8fslUWY6pHl7Bndo1f1V5105txVLm0rEveR+YndcsKHJs0yZerqymsxjWmKqimoFNZwRw1jvvkMhotcGSFcsWLFjh07kpOTMcZ+fn5PP/20s/2ZZ57Zs2ePWq0OCQn53//930GDBiUnJ6enp3/88cdeVVhyRCAaEoDOVOOPMujX+t9Kia03s0wXDtlKbqhe/hyRrnxnGPfvwLlDQYkhzWsAEEKa/qH7T/32dPhTng2M4UFisXj9+vWLFy/mcDhcLreqquqdd97p3989T5S9TdMmhF5Rb4sBAECbDVRDjbmhxnzttLMFkSxWgIYVoGEp1CxFkPP/pJ/yTiklo1fpVf1VJ1XlZMUDWCLc9s0RCoUvLFt59uK53Bu5LJI1OWZ8Ynyi11YfYDC8nytpj0QiOX369LVr1xBCCQkJzX+BZWVlEonE+fFLL7306KOPlpaWRkdHd//mE/f0rzRy1E7He1epZ+II/983R+Anj2CpQh1VxYZD28QT5ns0QN9npixCwq9lC0EQRofZU/EwvMTUqVMLCgoyMjLMZnNiYqJCofB0RF3FWWU0UMDcwXgL5fJ3HdpyW2meo/ymvbLIXlHoqK20V9y0V9xseRgiWaSfgpQqSP8AblQiJIzwTLgML9B7+qvOoDGsZw2ul1VMHu/O6ogkSQ5LGzosbagbz8lg9FoujoMhhG5fNi2Xt6qWHhgYGBgY6GJc7qPT6Q6cOFDdUMvn8IYPGNonqg8APBCIxgWhg+X4P9eovw9qWkmISJbskT/VrH5Zt/87fspoltzzwfswVnuLv9ttZPQ2IpFoyJAhno6iyzmrjKqZBUfeAyGWMpilDIYBo5wN2Ga1VxU7asoc2gpKW+7Qlju0FZSuzlFb6aithAIwXToqiWv/d9V89ZTp4iGCJ0B8EcHlIy6f4AkIvghx+YjFQnwhIliIx0dsLmJxAAHB99JKWgCAHXZssyIu7y5zZxzactpsbP0yGltMbU9F/95IEDisH3A47Z7NknORqqtqeondhh22u4Vns2KHnRvZjxff/s/CVpRjvnYaMAYAbDVhmr7L2ZwQm0sMmwHie89v7CX9VWecrcHHUWRZ3xefC2HmXjEYXsrH/zhzb+RuPrJNmRDI0wgdNL314s+xOREPT3sYAN5NJQfvcHyYQf8pnlT9PmuLG5UoGDjGdOFQw7ZPFU//zZOh+7oIVURxXYXY/9bbbUN1Q7+QGA+GxPAG//nPf95///2Wm9ls3bq1eaGyL6k0MWsIvR3icDkh0ZyQ6JaN2GGnGmqoBi1VX0P6KWx3yJFMFw6ar57s0OUInlDxzDuc8L63f8pRW1H/7fvYfre86HbclDHcoVPb/VT99x9Y864CAG0xAm6VIGG7rd0LEQKx6s9r293OUX9oW+Mv6zsUGwDwR83mPvjE7e1UXbX2i9c7ejbDCX7wv7a3+ynd7o2W65c6HF5AKKiC7n5MV/RXRUVFr7/+em5u7qBBg9555x2ZrNU33Gq1fv755wcPHtRqtf369fvzn//cp0+fzlyuG+wqpgFgeqjn+zqMcWNjI5/P53K59z6awehNfDkhxBj/dORnTVqYc1IrQRDqvkE5WfnFJcWhIaGpSjQjjPiliH73CvXhkFsDU9KZT1oyz1myz5uvnuQnDfdc+D5u6tjJ67d8WdNQ6Rcsx4DrS2rlVr9xc8fe+5UM35Wdnf3ee+/99NNPffveuie+fasSH2CnodYKJAKFizuYMDwGsdgsRRBL0ZQq2PT6dg+TLVwlSB1Pm3S02YgtJmw101YzbdJjqwVTDmw2YMqBrRZst2CHHWhMW4yYsrfJzZpRtVXWgswOxyqS3SkhtBVlO2rb7iF8J4jFRhwuKZXfaYSQHRzJ1kShNjsBIALx2o6AI6KpEZFsduKwds9GypSSaUup+ppbV2ff7fYdcbiIxWYH33EPT7/Zy82ZZ53fW8QVoPvYsIrgi+wRiXc/piv6K4zx9OnTJ06c+PLLL//zn/9ctmzZzz//3PKA+vr6kydPPv7448HBwRs3bhwzZkx2drbXbtTktKsEA8C0UFeqGLoLxvjg8UPnci+CAMABUiSeM2m2KkDlwZAYDK/iywlhbW0tFqM2i4xlYfL0rCuhIaEA8M4gYmcx/XkW/Vw8ESFuOgzzxRVJ4/N2blB99vch72zgyZn+oktwOJzljz6dlZ2VmZ+FEDEqYWhfZs+JXq+srGzkyJFDh/r+mpAqM6YxqAXg8h7NDC9H8IT8RLf9JnNj+qvf3EgZG+//JQgRWBF0p8mRAS+upnS1AEDwhNA6kUNsDmK3P5PzTnixKbzYjm01DABm8x0WjSMkmbCgo2e7C5YqRKxquz/WPTnukOo364r+6vDhwzU1Ne+99x5BEKtXr1ar1UVFRWFhYc0HBAYG/vDDD86PBw0a9PXXX1+9enXYsPZTa29QbsJXarGQBQ8EerKz23Nob5YlV52mcf7TYXes2/7lC4+u9MkHjgyGC3w5IbTb7ei2uy0Wi2WxWZ0fJ8jQ/Ejiu3z6H+n0upEkABSXFH+/dwuoSBgcnVFafOh/ly175dOI8IjuDr13QAjF94uP7xfv6UAY3mLo0KFvvPFGXV2dv7+/p2PpWs4FhM75oo6qkqr/rJRMmC8eP8/DYTG8GOkfQPoHdOgldrsdKKrdTyE2hyX3ourfPVFX9FdXrlwZNGiQcxtnf3//qKioa9eutUwIWyooKLBYLOHh4e66elf4tRhjgAnBBM9zJQJomk4vvKpOu/VQgMVmSfrKTpw7MWnMJI+FxWB4E19OCOVyuUPXdhepxuqG1LBb5XDeHkj8UEh/lUu/mEj0EVHf7t0ckBpEEAQOGiM4uYuymL7+799ff/MLNpvddXFaLJbGxkY/Pz9mUjujl9PpdAAQExMzbNgwHq9pMuWqVat8r2aDc1d6Z0UZy/VL2Gp2/F5Cg8Fg9Ahd0V9VV1e3XDQok8mqqtrvGaxW65IlS1588cWgoHssdLxdfX39jRs3IiJuPex+9dVXFy5c6PzYbDbb7XbiPibW3o9fCzkAxFilVa9v/9lERxkMho6+RK/X20iHzdZqZSxXyLuRkT/sXuPAHeVCeN3Jm8Oz2+0URdntdk8H0j6z2czhcEjSS2sf3v0ny+Px7pnI+HJCyOFwUsKTMwqzlRFN9UJNOiNZiZMm30oI+0jQYzHEuhz67cv030JvIiXp7AQRh8dLHGq6eJiyFlw/fSThgQldEaHBYNi6a1u5pYrgk9hEaYTqudPmCARM2UEXYYxramr0er1CofD4ZicY48vX0nMKrrNZ7P59k6L7RN/7Nb2eQCBYtmxZm8aAgI6NivQIlS12pbeXFwAAOyjSwzExGIyO6Ir+SiKRmEy3SrMajcZ238vsdvvcuXM1Gs0777zjwlVkMll4ePju3bubWwL/n737Doyi3BoGfqZs77spm94LSQgpdAQktCBNkK5UBYJ4vagvF6/6KQpXva/1KqAv7aqI0qSK9E7oNSSQBNII6ckmm2zfnZnvjw1LOqRsNuX5/bU7mcyckDA7Z57nOUeptN17EATB5XLbJCGkGEgsMQPAi0E8kaDNpoyKnqH6a01sNpuFkezaJW0tZotMImvuoZ6FPY7ZhjpseNaE0PZspaMhSbIjJ4TQ6t9sV04IAWBMXLzihuL8jUQDYyKB8HPyHT/rlTq/zg+j8S336R2Z9BioIHlPEmjSyZ3tFcSqSMrZtS58wNDmrql4KoZhNuzczOsh9OBXT2PQanSbd/20dPYSxzZXtT5FYzdSDbzDKigs2HZoh55vwrg4U0W5spxnjp9eM7vW6XSHTx/OUxXiGOan9BsxOM5+P6NOp1u/faPFhZF4yWja8Mft/cobTnOmzG6rZ65dlUQiWbRokaOjaA/VXen5AACW0nwAYLl4ODQiBEGaxx7XK19f323btllfm83m7Ozs+vNFLRbLzJkzcRzfunVri29PWSyWv7/dH0LdLGOiVddIqYuXoNGSP+2Aw+FISbHFZCbZT+7xSjKKpveZ7MCoEKRD6eIJIYZh/WL79ovtS1FUY9dNTwG2LAL//Db9Wbr8ZbkJaqyq4IbGWu48kGrK1Ac2SScvadvYsrKzDGKTlP/kWQhPyC/glhcUFLRgBkibyMjKOHDmoA70DACf4U4YOi7A35EX8WdnNBo37/tZ2c9T+jjj0mv1W/b8uvjl6k9rlUq1buf/ySKchZ5SAMhQ5ST//N3fXlnK4/EaPWgr7Dmyjx3Clwir01HXILeyvLLEKxcG93/Sw9pgMCSlJBWWFnm4uvcM69npMnA7KS0t/fTTTxMTE41GY1RU1HvvvRcc3AWbkRTVGCG0lBYAAIEanyJIZ9Pm16tx48YlJCScPXt2yJAhW7dudXV17d27NzwuNjNt2jSKoubOnavRaPbt22fXxSxt4lrqo5+yPymSBQJ879hIZr4wfcMfmwkvttRFZjKayjNLI53DAvw6xx0O0q3k5ef/eeZgpbGSwElPuce4uBfaZ+ZgF08IbZp+irYyhtiXw9wr97icho/zNbE51bfmZjMtUER5629qzu3nhvbmhvVpw5CKSoo4krrZCEvMLiopckhCmJ2T/evp7V7RPhIcAwCGZn49s30OPrOJmjpGo/H0hdM5hQ9Jgh0ZHBHbK8ZRY5tJd+9wfQU1x994Al4+k1tRUSGVSgFg77F9LjHuLE71x6dQLsJ64IdOHZ78wiR7xJNXke8cUKtgg9xDcedOsi0hTE1P3X12H8ebzxcL0gqyjl49Pn3kVH/f7j5p0Gw2x8fH+/n5/eMf/2Cz2SdPnhw6dOitW7dcXbtasd/qojJ8YCxmSl0GOEFInR0dFIIgzWCP65VIJNq4cePkyZOdnJw0Gs22bdusn6onTpy4e/futGnT0tPTf/vtNwCwzazbuXPnlClT2uQnanMV927jwJDOji9fJJfL35m/7MbtG/dzMlwF0hfjxri7OebJO4I0IS09bVviLo9e3k6kAACKK8u/37ru77PfaIeZtN0lIWwah4AfBhHDDjJHpbNjbv3B5hcTIpLSWCSUcNH8d8ibJ9T7N6q2fuHy1n9Ipza7rokEIktJ3bWzlIES8B1TBPlI4lHPaG8Mr87oMBzzjPY+cuFYgm/DU2LKVGX/98dGYZBUFC5iGObUw/PXU268NmOBQyZYF5YU8MR1n6AQQrK8vNyaEJbpVE6cWr87gVjwKDvPTvFY6LrVjACAYqqX1BsMhj/O7HXr62X9pOcKuIwbs/3YzuXz3yHJbv1f8s6dOzweb8eOHdZ/mfHjx1MU9eeff776agPdqzu1gsdd6amyQmAYUuHSWIc3BEE6Jjtdr6ZOnTpx4sSCggIPDw/bJ8Lq1autL3r06MEwTCsjbx8WGiQFyQDgHPqUjo7tgyTJvrF9+8b2dXQgCNKog4mHvGJ8bYMrArGADqZPJZ4eMzze3qdGK5qqDXXDFoXiJq70iOtri+JfmxI2IWH0q2/Mfl0mk4mGvcTrOYDWVlYe2tKGZwwMCDTlG2pe2RmGoUvMjupyoTFr66xww3FcVVV+4/aNE+dOZmRm1PkQ2nX4D+dopUguAgAMw5x8nDVyw6Vrl9s16MdkYrlRZ6izkTbQtiW2NDTwCWq/T1Uewa3zz2UxmcVcsfX1/Qf3We7cmqOpGI6BM5mTk2OvgDoJvV6vUChq/ssoFIpGm5V1ZtYqo0oeWJuD27qcIwjSWdjvesVms318fDr788HrpUy0JgUAXHt0iIQQQTo4iqJ0YKgz1U4kE+UUPWyHs6OE8In/7Ud4CrDLxczvhdLAwECFQlH9BQyTv/IP0fBpgkEvtOHpuFzu5METCq7mVpSUmwym8iJVwZXcqXEvOWpVAAF1R/YyUzOvpl8/UXAuhU7fcWvPdz+vqXpcoJlhmDJ9ec312QAgc5enZKa0U7i1RUX00mTVatlsMZm5OraTk5P1rZQjpiy1al4bdQYXkZOd4nk+dmj+3SfDjzRN5996FD9klPVthUbN5tVdMUhyyCptx60H3T6ioqJu3LjxxRdfPHz4sKCgYNu2bevWrRs50i41fh3LWmXUjY+hBYQI0kl1n+tVy1x5UOJpKjGwhSxlw30UEQSpCcMwjGlg4RUG7bEaq3M/f2pbYhb8+Bwx7ojln1epcd6Yv6jGAA6HJxm/oM3PGBYa5ufjdyPpZmFpYaRTSPTsaAfW2w1Q+mWp8q0jfgBQqVLfvZ8SMqiHk7szAIhkYpPB9Ou+35a8shgAaJpm6j1MwDCMYuj2jbqaUCicNGji/sQ/STcOV8jVlWtZZfi8SXNsO4wfNn7DgU1u0V7WZYQGraEsqWjWzKV2iie6ZxTDMMeunKA4FEMDn+bNHfmyq0v1whI3Zzd90mWJk7Tmt5irTK7OXbC/QrMIBIJ9+/a9+eab77//PkVRPXr02LhxY0hIiKPjamOVZtBZQECCkAUV1hFC1CIcQTqbbnK9arHS1CQA0HmEgUMLpyOIY+l0uj9P/lVQXggA7jK3sXFjGisSg+O4mBTSFIXXWHtVXqiK9WmPMXaUENYy1gub7o9vz6QXnqOOv0C2wzWMx+MN6jfQ/ud5utHDRq/ftrGkqljhqQAMu33httRJFugXaNuBzWXnU0U6nY7P5xMEwWXYDMPUHNrWVencZQ4b6IjoER7oF3D/wf3i8hKvcK/AgICaM2Dd3dyWTk7Yf/Jgqa4QxzCl2PWVWW/YtRtPTGR0TGS0RqMhSbJOnu/v58c+TZg8TGxu9TihQWsQ6fhKJRomgujo6HPnzlksFoqiOByOo8Oxi0Jd9fAgAFhKCwGgDRcnIwjSbrrD9aplLDSI8lMAwCkEzRdFuq+Kioq1O36URTiJveUAUFxV/vWW7/42Y0ljvbInj3hx058/Ofd04wq4AFBeUE7mM4NmD2qHUNGU0bq+G0AoOHAyn9mY6pjBLkdhs9lLZy8Z7j2EnYmxHoAvz3NQv0F1KsTgPEKr1Vpfj+w3Iu/OQ4auXilnMpgqUkpHDh7e3nHXwOVye0b0HD44LjgoqH7HPycnpwXT5i6f9/Y7c996edKs9unNKhQK64/64jj+2pT52ANz/u3cwvsFeTcfcnPxBVPnObb/pMN9+umnFy5csL4mSZLD4Vy7du2TTz5xbFT2ULMJIVWWD2iEEEE6m+5zvWqZKyVMrCYZAJxCIxwdC4I4zP4TfzpFKXmPm5DxRXynKNcDJ/5sbH8Pd4+3Zr4pLxFqksoNyVXRgvClc15vn+XEaISwLhcerBlIzDxFvXmRipRj/Vy60T06hmGxvWJie8UAwNEzx1PVD0Qycc0daC0lFldviQzvyWFzDl88oqV0GIO7Cpxfn7pYKBTSNE3TtD3+fM1m84WrF7LystksTu/wmOCgTtyeTiKRLJq1UKPRVFRUyOXy9mky05Hdu3fvv//97zvvvFNzY1RU1Lx588aPHx8dHe2owOyh0NaEkGEsqiJAawgRpFPpVterlrmYXTnV8MhCsFleQY6OBUEcpkRTKufWWg3E4XFKNCVNfItIJJo+YZqd42oASggbMCMATyxi1tylJx23XJ1Iegi6UU5oMyCm3+VtV4R9RLZGFJpyjY/Eq+asmJCg4JCgYIqirAOJJaUlP/62XmWsoIHmAzd+wKiw0LC2ikelUq3ftZHjL5AESbWUafftA55Jypcnz+rUo2pCoVAoFDo6irZx997dm6m3zRZTsE9wv9i+ze0+cvny5bi4uDpzrkiSHDFixOXLl7vYDZa1xKgbH6hKFWMy4kIJzu3uTwQQpBPpVterlilKvYMDo3EPRQ11EKSOjtk3Bk0Zbdg3/Ynn3bACHUw9QRmphvcx52WU//619QF/1yMSiV4ZNVN1vagotaAwsyD/Zq5CJZo+fmr9Pa23/hUVFT/sXk+EcN1iPT1ivaUxzn9c3387Oamt4tlxaJcixlXqIsNwjGSRrsFueWTxrTu32+r4SIvRNL15+3/3px7W+1joIPJSxfVv/vsfW0HaZ6RWq9nsupVXAYDNZqvV6vrbOzXrCKErD3vccwLNF0WQzqRbXa9awESDKC8FAGTBaAEh0q05CeQmo6nmFpPB5CxUNLa/A6GEsGEkDrtGkH4i7GIxs+xSwxmh/s5F7eWjpWv+QVU0Nfjbefn5+L09f9mC52fP6DX57y8tnTVpZhMtMY6cO+YS6Uayqp8FYhjmEeF14urJNomEoiiVsW6XC2cfl5v3brXJ8ZHWSLxyoVyscQ1QEiSB4ZhMKRdGSHcf2dusg4SFhZ08edJkqnXdtFgsx48fDw8Pb9N4Ha9QD2BtQliKSowiSOfTra5XLXC5mImuSgEAeQhaQIh0a+PjxpXcKDBoqxtl67X6kpsF4+PGOTaqBqGEsFEKDuweQfBJ+PEevb6hAjOiuCkc/wiLqqhkzQpKXdb+EbYDHMddXFz8/PyeOrOxrLKMw69VPQXDMANjpOk2qM1jsViYZqr/TAAAIABJREFUejMQMRwz0+bWHxxppeSMFLlHrcddHD63oLKgWQeJi4vj8XgzZ8588OCBdUtmZuacOXNMJlN8fHybxdox2KqMUmWFAECiBYQI0ql0q+tVC5zP1UcYMmmMYPuEOjoWpEPQaDRHzxzf8sevR88c12i6UctluVz+91lvSIsFFbdKKm6VyIuFy17+m1Qqffp3tjs0t7spUQrsh0HE3DPUmxepnnJsQO0CMxibq1j0cenad02590vW/dP59c8IiX1HgWmaPn/5fFJmiokyCVmC+OdGeXt52/WMzw7HGlozxmD1q322AIfDIS11j6+t1PrI0Z2049HQQM5PAV2nK0nTCII4cODA3Llzg4KC+Hw+juMajWbo0KF//fVX+9TXak+2EULS1Qvj8DjBMY6OCEGQZuhW16sWyE+9RzKWKpegs9evpmTdNTMWhUA2Zki8QtERZ8oh9paUcmf/5YPiAKkgQJiqfnBl+9Xx/cf2Co90dFztRCQSzZw43dFRPB26cj3FnCD8Rhnzn2R6/BHL8RfIKEWtG1ycK3Ba8mnJ2hXmvMzib99yWryKpfSxUyQMw2zctlmjMMh6ygUANEX9fHrr6PARfWP62OmMzRIREHY5/4bc/cnl3mQwuQqd2+r4gyMHnUlLVIa4W99aTOaKlNJ5L89sq+MjLSYXyNR6PYf3pL4CwzA8jNvcej9ubm5Hjx7NzMxMSUkBgNDQ0KCgrlmerlgPAODCA37M8/yY5x0cDYIgzdd9rlfNZaSAn5dCM8w+VSW7KknWU84D0BpNa/b8OGvY9KCAwKcfAulCDAbDgYsHPfpWj16IZGJRH/GfF/8KCQiu35QLcSCUED7dl32J7CrYl0OP+KuhnJAvcn7989KNK01Zd0v+845iwf/jBPUyGAxCobBtC2CmpqWq+GpXt+rlRjhBePbyOXHlZO+o2DYZhWulAb37p+5ILTEWKXycMQxTl6hNWbqEaQvb6vgD+wzgsDmnrp02EmaMBjlbljBlYZcp0dmpjRo8cu3u/3OP9SJIAgAYhslPzh3XZ0zLjubv7+/v79+mAXY4KiMDAE7cTlwgF0EQ6B7Xq+a6WMzEVKUkqTTMSDeZm9y6kc1he/Xx/WXPFn9vf61Jy2fz4/o97+vj69BIkfaQlZ1FutatwEQqORmZGeFhaMFtB4ISwqcjcdg5nJh2Avbm0HF/WY6OIXs71c4JBWLnpf8u/+1LzfXTez95/X5ojNnVhYtzvKQek0a/KBAI2iSMuxn3ZO71pluIidLSUhcXl4a+o10RBPHazFeTkpNupt62UKYYz/CB8wY2UYSmBaw9Eg0GA4vFam5XgwZVVlbeS79Xpdf6e/r6+6EP9RZSKBQLxy/YfWxPhaUSIzC2hTWx39ie4ai4XMP0FjBQwCWA2wZ/wgiCIB3L6QJ6KKW6brS49KjVKzgtKTW1ItVjiI+AK6Vpemvijj7Z0aOGjnRUnEj70Oi0BLvurSDJJrV6rUPiQRrTwoRw165dv/32G4/HW7p06cCBAxvbbefOncePH//iiy9s3cw7KRYO24cT00/A3hx61CHLsTFkbO2cECNZ8tnv/vWoOIN7S8rOJCVcfkh0pUb347b1y+a92SbZS6cQGREZGWHfeeFtNcfg1PnTFx5c5nkISDZ59cYN0Vn+gqnzUIP4lnFTKpfOXmKxWCwWC5oE0jTr8KCcg4YHEQTpgk7lM//1/nC64nc5+8k6AqPO8LDgoSLUBcNxAMBx3D3C88qN6/2j+3X2+8O2UllZefrimeLyYqlIOqTvYBdnxz/obxNuLkrTAwPUrqVtrDC4h7k7KCKkYS2Zarh///7XX3999uzZQ4cOHTNmTFpaWoO7ZWdnv//+++vXr9fpdK0LskNg47B9OPGiD15uhJGHLNdL6zaW1BsM2e6uyucGA4AlK0V/5wKPx6ZcsZR7d9skgLCAHuX59WqZVlJOTk5tcvxuJedhzoWcS+4xXjJXuUgmVga548Gc7X/ucHRcnRtJkigbfKpyEwCAnPO0/RAEQTobAwWXS5g8jjKu/3PlhSrb9rLCUrYrH7fgNfs3cpT8jKwMR4TZ4dy5m/yfnWsfiYqIMF6Zc9X6Q5vPXDjj6KDahqenp9Qo0qqfVBbVqjVSg9DDw8OBUSH1tSQh/Oabb/7f//t/kyZNWrRo0bRp03744Yf6+zAMk5CQsHr16lZH2IFYc8Lx3ni5EUYdshzLq5UTlpSUkGKS7RPKjxoCBGnOy9RcPCTkMRmPMtvk7KEhoXKdRPU4J6Qp6tHtnBGxcR1hAWGnc+HGRZeQWg+seAJegbbIYrE4KiSkm1AZAQBkKCFEEKTLuVrCGCmIlGMjBvTF82iNqsq63Ww2a8uqAr0Cau6M45jZgnpHgdls3p940LOPD0/IBwA2l+0R5X0u/YJarXZ0aG1jwdR5ijJxwbXcwpS8gmu58lLRgmnz27bKBtJ6LZkyeu3ata+++sr6+rnnnlu/fn39fTZu3Ojp6TlixIhWRdfxsHHYNYKYcRL2ZNNjDls+70v8T8/qfIzNZtMWAADS1YvTe4Tl7mWqqlxz4bCHdCDET2zxGe+lpSal32FoOjww7NXp8xOvJCYlJRspk4gtmPv8yx2n7UTnojFoSTav7lYWptfrRSKRIyJqexmZGTfu3jKaDMG+QbG9YrvPvOUOrhxNGUUQpItKLGIAYJArRpLE0leWHDl15MGtLAttEZn4AXxf19rTIA0lOt8oX8cE2pHk5eXhTnU/oPkeonvp9/r36e+QkNoWl8ud+eIMiqLUarVEIkF3Ix1TsxNCrVar0Wjk8urKUQqForCwsM4++fn5X3/99YULFxim7rzKZ6dWq7Ozs+Pi4mxb5s6dO3nyZOtrvV5vNpsdNTj2Uz+IEpMf3yGXX6YuFZjX9jXzCYbH45lLDEY/I4ZhZhaXHRMH92+oz1z3yT1TdmwHu3+ziy5aLJat+34v51XKvBQYYPvuHTp64fjcSbOjI6Jt+1RVVbUg/g7eFbQdwhOw+SXlFVxBrZzQrDHRNN30P6nZbKYoymzuoA819Xo9m83GcXznwV2PmCKFj4IgyeMPzx67dGLBpHkOL8ra9G+Wy+W2bRWimu7evZuenh4VFeXr61v/q2az+fr16yUlJWFhYQEBAfV3aENohBBBkK4qsYgGgEGuGACw2ezxo8fbvrRt77ZHuUUKr+pmVKq8Mh+eV0coiedwRpMRJ+vezZJsUmvoCuutbAiCsOUOSAfU7ISQy+USBGE0Gq1v9Xp9/bvMxYsXf/zxxzKZTKVS1TvAsxKLxc7Ozu+99571LYZhUVFRttEbgiC4XK4DZ0t+2Bdi3ZiXT1n+eIg/0HD3jCT8JNis+BnbTu2UhSjYPDYwoAbvgX19XfPv8OTO/OaPOx05fczsCZ4u1WOA/GC+Vq05e+Xc5BcmtT7+Dj4OZu/wRg8dtWb3j159fW2TFtTFFT29IyQSSdPfaE0IO+xKOZIk2Wz2jaSbZYJKb9/qlphu/u5GN+Ohs0cWTJ/n0OgAHPSHt2rVqh9//PG5555buHDh119/PXv27JpfLS0tDQkJ8ff39/DwOH/+/Lx587788kv7BVNuBACQc6B8x3eUusxp4cf2OxeCIEi7YQAuFTMAMEjZwAyIaROmJV65cPXGdQNt5BGc2IBeQ0YPafcYOyJXF1fzZTPUbmKtLdX4Rvs6JiCkW2p2QkgQhLu7e1ZWVkhICABkZ2d7eXnV2ef48eOJiYkJCQnWEcLQ0NBffvllwoQJzToRhmECgaAjTzod64VdmEBOOkbdVjF991nWDiSmBQS+rXzz9MWzWRlZzgrncXGzPdxbXkYpLTdd2ktWc4tAIszKzGl14A5D03Ty3ZTsvGyZRBbZo+dTsy/7USgUs+Km7zm1lxZjDMlQaksPl+CJ8eOf/p2dwa3U205hzjW3cHicAu0jhmG64az9wsLCzz77LCkpKTAw8Pjx47Nnz54xY0bNoUg+n5+YmBgaGgoAGRkZISEhCxcutF7f7KHcxACAgkXrLh9laIqhLBiB2v8gCNLppVYwpQbwEGBeggY+aHAcH9z/ucH9n2v/wDo4qVTqK/AqKSqXulbf8mnVWqGG5+/n59jAkG6lJTciU6dO3bx5c3x8vNFo3Lp169tvvw0AFotl06ZN06ZNk8lker3euqdKpVIoFKmpqUqlsi2j7jDCpNjlieQrpywHc5npJ6lfHzBrB/HHjhhTVVXV+pEQiqEa2Eg3sLFTKCsr27z3Z9oFEztJMnW5Z/ckDgkd5MDPhqCAwP/xe7u0tFSv17u4uPB49ZYUdloWxkLWS/xojKZpuum5+9b/uV3pnwIADh48GBUVFRgYCADDhw9nGObixYtDhjx5Ms3n863ZIAB4e3tzOJyWzcR+RtYpo27mYoayEFJnlA0iCNI1WBcQPufa7R47tt6MCdOOnT1++2oSzWIwCx7o4jd++rhu+AAXcaCW3IusWLFi5MiRUVFRVVVV4eHhM2bMAACDwZCQkDBo0CCZTPbUI3QlUjYcGE1uuU+/fYk68JA+kU9/GE0sbovHOkK2gKYovMYdPMMwPKKDTlZ8qq0Hfpf2UpBsFgBwBVyJk/T0zXMh/sEOXEKA43iXXMAgF8nLdVUcfq0/FS7DbiIbTLuf/ue5g0bSBAAcC3v8kHHBgUF2D7Rd5OXl2WYxYBjm6en56NGjxnZeu3ZtQEBAr169mnsWi8WiVqu3b99u2xITE+Pv7299TVEURVHWGRMqAwMArroCACAUrhTl+Ec81vAcHUWjUHgtRj3m6EAa1pFjg6eFh+M4ul+v41KB+du8b71d+gIMc3QsnQxJkmPi4sdAvF6v72LPZJHOoiUJoYuLy82bN1NSUrhcblBQ9V2jUChUqVR1JgFalxE6cGZg+8AA5gThIz3wNy5Qu7Ppd69Se7LY655jYpya+rQw3Lumv31OOHQSy823wR3inxu1+dgvXtG+GI4BAMMweXceTu0/2R4/gr1VVVVpCK2IXWs9sTzQ+fKtK+NHjXNUVF3VqOdGfL/rB4/eXranCQVpeXGRja7WyMjM2H5hl2esj/X+hqGZ38/tmMOa5efTFearmEwmknxyoWOz2bYl0HUcPnz4s88+O3r0aAtq2xgMhsrKyh07nrSy5PF4tj5LRqMRwzDrmudSPQGASyvzAACTujYWTHsymUwdIYzGoPBazLrmucPmLUajkWGYDltysOnfLJvNrnlhQQDAkn7tpfJTppxKlBC2GMoGEUdp4eUMx/GePXvW2Vh/bBDDsO4zYOjGhz9GEHtzsKWJ9OVSvPdey4u++MoYPFLe8Iex7toJ3fVT2stH+bHDxGNmkwq3Ojt4eXq9MnTG3jMHDIQRMGCbyEkDxocG22tpk13pdDqMU/dTn8vnqIu6SJsdAEhKTjp985zOouMQnHDvHnHPDXPU7YJMJntt3LxdR3drQAsEEAZ8RMzQvjF9G9v/yIVjHr28bXeNGI55RvscSTyW4LOovUK2I6VSefXqVdvb4uJiN7e6/9cA4NSpU3Pnzt2zZ08LhgcBQCgUenl5/fHHH43tYCuCVWmxADByQykAcJSefD6/BadrWxRFdYQwGoPCa7EOXgQLwzA2u6mZC47VkX+zHVCpAdyL7wGA3C/Y0bEgCNJs6PnWU5SUlhw4+ZfaUMEi2IFu/iOGDG/6Lv9FH3yYG/7hZf3GDHJPNr0vh57si6+MwcNlddNC6UtLcaFEm3hQd+2k/uZZXsxQ0dBJLM/AmvsE+Ae8479Mr9fTNC0QCNr+x2svUqmU0tade1NVXhWoDHdIPG3uyKkj18vuKCPdRJgMAFKK0jO3ZS1+eaGjns27u7m/OfcNo9FoNpuf2m1CT+l5uLjmFhzHtWatPQNsP4MGDXrvvfes83BycnLy8vJ69+4NANYJnNZfUGJi4owZM7Zv3z5w4EB7x1NuAgDgqQsAoP5jIARBkM7ofBHdW3cPALj+PRwdC4Igzeawtg2dwv2MB+v2raf8QRrlLOgpSYPMNb+ss1gsTX+XhA2royyZ01nLInAOAbuy6MjdlpeOU0ceMXSNvow4XyidlKB8f5Og32gA0F09UfTlGyXfL9cnXYDa/Rt5PF6nzgYBgMPhBMh8KkufjAfSFKV9UNk3utFhq07EaDRey7rpFuxuS/+krrJyXmVGZoZjA+NwOM/SexCHBp7Qk1gXeVoUHR09YMCAKVOm/PLLL9OnT3/11VednJwA4L333ps4cSIAFBQUxMfHh4SEHD58+N1333333Xfv3Lljv3isawjJigIAIJ1QQoggSFdwqcDc0/CAwTC2T6ijY0EQpNm6yD2fnew/+6dX7yet6sROEpW57OK1S89SG9OVB9/0J/4RSXx2m9qQSu/Opndn034i7LUQfH4w7vZ4Hgohc5HNfEs8+mXN+f3ai4eNGXeMGXdIhZtg4Av83nGERGG/n66dTR03Ze/hfWnXH+BikjHSfCNnwYS5XWO6fFFRESGr+19J4iZNy0oPDAhs8Fs6lEClX1ZZnkjxZJCwqqzSX+nvwJDa1p49e3744YfExMRXX311wYIF1o1jxozp06cPALDZ7A8++KDm/mw2206RMABqM2AAmKqAQSOECIJ0FQUZD3i00ajwxgXip++NIEgH090TQp1Ot+/o/kcV+WbKzCf58QNG2RbpGY1GPWaU157yJ1PK0+6lPXuzBDc+fDeAeD+K2JRGb0yjs6qY969RH92gxnrhL/lhY71wOQcAgJC7SCa8Jh79svbyUc3ZfZbSfPWBTeo/N3OCogR9hvMiB2GcTp84kSQ5ZdxLRqOxtLRUKBR2pVJDOI7X7wZCU0/p8dAmdDodj8dr5cTU0cNGb9y2qaSqWOYhB4DyR6WiKkH89FFtFKPj8fn8d955p85GW+cJhUKxYsWK9omk0gQWGnzxStqgw7l8dOeEIEgXYKRAkHcXAIQBaL4o8kxycnKyH2ULBcLggODW92lDWq9bJ4Qmk2nNb+uEYVInfyUAMAyz69qekVVx/WKr5zE2dpttMBgoinr2aZyuPHgvCn+3F34sj9mQRu/Poffl0PtygMSpIUpsog8+0QfzEWIYhyccMlE4eILh3lXt1eOG5EvG9JvG9JvYzjW8iP782GHc8H5t8XM7EofDsZVe7DKUSiVU1M0I1Y8qIoa8YKczUhR1+NSRpJxkhg2YGXzl3i+Ontji4VY2m71kdsKdlDvJD+4CwIDgUeE9wjtsZcJOTWVkACCcKQQAwsnd0eEgCIK0gWulTKQ2FQCE/mGOjgXp6PR6/X93/VzBrRI4i8xFpsM3jw8OHTBkQKOF0JH20a0TwgtXLrB8+Txh9fRNDMM8IrxPXznTN6YPhmEcDodLsRmGqXlnnHn7QVW2+uvt/wEcWCZyVL+RvSIin/F0OAajPbHRnkShntidRe/Noc8UMCfzmZP51N8vQoAYG6zEhiix51yxoLC+3LC+tF6jv31ed+W4MStFd+O07uYZt5W/dqVJpF0GSZIjY+MO3Tzm3tOLIAmGYYozCgP4Pp4ennY64+/7tpeIK5R9qo+vqtKs37bxb3OXtviAGIZFRkRGPvMfM9Iy5UYAgCALqiiDIEjXkVjEDNOlAgDbD40QIk+x7cAOCGS5CR6PDbjBmaQLvp6+bkr0mehI3TohzMjLlITWnbhIcWiNRmMdvx4/eOzvZ3e6R3mRLBIAHqU/TL6VPO6VCQRJAADDMAdu/4VhWGR43Q4cTVPy4PUw/PUwXG2Cv3LpvTnMkUd0RiWTUcn8lA4A4MaHvs54pJzXy3VU1LzR3pZi452LjMVMiOVPOzbiGH2i+3i6eR49f0xtUHEJztjIUT2b+Vfx7CorK3M0ue6BXrYtfBG/SFaZfj/dx9vHTidF2oTKCADgay4CVFEGQZCuIjWraJa5zMIVsly8nr430o1ZLJYCTaGboNbfiWuIW+L1C1PGvuSoqBDo5gkhiZOW2gOAAMDQYGssERwUnCB57eDpv1R6FYsg1dllY2aOtWaDAIBhmHuE18lrp5ubENpI2DAzAJ8ZABRD3C5jzhUyZwuZ80V0gQ6sc0qtRCx5D+m4ADEWcIMOEGH+YixABK48jHxcI7by4M/mohyWRyDbK4jlFUiIukvvxw7FTek2d8qcdjhRcXExLqn7P1eoEObk57RVQmgymf46eTizOMtEmYSkYGT/ESFBqLVUGyg3MQDgbbSOECodHQ6CIEhrMQCWnLsAQHiHNbrSBkEAAMBgMAC77h8Ji8PSGLpIp6vOq1snhL1CI49mnXb2dbFtoWmaT/NqrsVydXFdMG2+9fV/tqxhc2qVH8QwTE8ZWh8JgUGMExbjhP09AgCINDVzq4y5VcYkqZjbKsjTMldKmCsltXpR4Bi48sCNj7nz4fPEExJdsT7pgvVLlMiJVvoRrj5cpafAzZvn5oXzO8GC3UozUDQAgMaEWYygsTBm+slXzTRozLX2N1Cgr9cBpMJUu2UHAACYKNA23ivEdt6m6SyMkQaaBprGSLJeDZlnpjWD6RlO1wRNMVmcR4mJWj+oQWU+ZuDuwHCCYDCs5eEBAENTacfXiUI4HLkTADAMs3vfbol8sEtw/1bFDWAxs5b2ZGKcuu8dg3WE0FVfCAAkWkOIIEjnl65mgtSpACAJQvNFu6+CgoL72fdJnAwJDFEoGl3cxOfzwVR3o1FncBGjkQwH694JYUSv6yk3S3OKnXxcAECv1ZfdKZo75pXG9iexBopGEljb93IMkWAhEmz647L/ZUZIrWAeVDKZlUxGFWRUMtlVTLEBCnRQoGNuAFzy/nKQ9k6k/kFP/YOehgxhVSlRVQr3r5oATADlACpSUsBxLeK5lnBdyvnKIpai1DlEw5EAAIGBmNXCG/T62VeVGSw1sh29BQw1chM9xdR8qzGDueHUiANgbvALHQMO0LqUrkUwVQ6r8Apu0Vp4LrxKo1xI13wWW5lcUe7dAx7gAAxA/aS4GfDca0oRwzKLoPTxcZw8VdfOVVG9obV/7QRD0JuH2L34aodlXUMo1xUBAKFwdXA0CIIgrZZYxFhb0nN8UUWZ7oiiqN/2/v7QlC9wFTIMc/Kvc+FOIS/GT2ywNB2O4yGuAY9Ki8VO1Su2GIYpSi6Y8uKE9o0aqatbJ4QYhi2YPu9G0s2b926ZLCZXqfOcWdObaOQd7tvjRkGyzO3JQj5tpdZHbq/CITYKDgxyxQa51vqvZaGhSM880kKhnsnXOZUZhqmMzx80wq8GhlWR76TOdtHkuWtyfPR5/sZHcotablGHa9Nt315MymNDf378rlb+4GkqidKn63COhuBpcV4VzlcTQhPG0uMcu/6YYhYQOACAtZCPkMRYNbIPEgcRq9b+XAJ49f5+JewnKQvGMFyzFgCAw+GyWXV3fbyPny6HBAuLMhLUkywUoym2RV9zTz5j5tJGmqYpjMgLGGpmNVTSk2H8HxwXVxYA08AYHU5bSIuBhQNe+yJZrgzPC45rMDxlZqJb5llgmDMP7ufytIpgOUHiOo0hOy+XlcjyilDyubjJaFFllPXEZL2NX9MGhuKIUoYsNfEa6OrBVxf0uLSRMOnrf6mmvwrSmCgpbqiOstIpsEruU6bF+0ZWCSS1VrH2uLBBVJZFWIwE3fgIbA0WwJxjZwG0dqSx8yo3MjgwAkM5YBghcXJ0OAiCIK11NU+/Qp9FYwTbG60s6I4OnzpaKql0d6m+GZY6y+5nZ1+5fqVf74YL478Y/+LuQ3vSb2YQEhaYaUzNzBg6xcnJyWyuOxIwadKkpKQk+0b/zJh6S8w6jo8++mjSpEmtPEi3TggBAMOw2F4xsb1inmXnwQMGZ+7KLtIUyL2dMBwrL1BxSoiJM2fbO8gGkTh4CDAPAQDU/wP1BvC2vTHTUFVWZiwrMpYVUKoiuqwYKgpJl8BjQ0kAsDBQZa6VEIbv+kacd6fBk1IsHkMQFEcEABY2jyAIAIziCCieqCgugRLIRCwga2RxPBK4unLyzDaGtgAAiQGBAQBglIU26UmsdmrEAFAAAGa9TvLcWF7PgQ3GUL7tG2NmClC2jIuh9ZonxzAZGUvdawoulCo/2IRzG2gToj6wuerEjgZP1ASxTC0eNbP+dnNeRtFP3zT3aH7518ZOGNHgl4qP7DVlpTyqMpSxTf4eUqjUAYAQwLknu+BSfuCl8hKLxYnAJ8pETlwK8kqt3xU5ZhwnOKr+0XTX01VZF58aj6SizKjWE0T1L1Ii5PGcfAuksCCUJZHU+O0yTP4vx2idpuGjNIKXcR2iu29CaJ0yauaI+GIRRjb8kAJBEKQTKc9II4GyKIO7QMNkpAXS8tJk0S41tzj7ulxPutlYQkgQxNRxU7RabVFREY/Hc3Fxaaxpc3Jy8saNG318ULW8pnz77bfZ2dmtP053TwibhSCIBdPnpd1Pv5V622KxxPoPjR4b1WEfGNiwcJA7K8BZAVA9naOqqqp2G9BaP4LhhSm6a3LaoKMNOsaoYww62qBlzCbGbCLMejADadAAQJ3hwoC4MRyPBoqg6tKvqy7vt75mAGoOJDWx0E3H5TecEDKMIeUKVVXe+LfW/LEwnCcAAFLuiuEN/6lzAnoa798ChsFYHKhxg44RRJ3PNoxkYWwuTdNAkPzYYQ0ejeXuL52ylNZrMLyBqxtGkBibW3872z+8sZ9AMfddU3Zq4qVEdzcjl1frn1zALRgV+4LcpdZV2Gg0ssVSjk9og0fjxzxPyl0Yc735+7UNzMw8VHjVxccFAADDCamCYRhST0gktUcdMcx1xf9Zih5ibC4Qz3Ql0el0koBuPaeo3AQ0YEnz1k/0RddeBEEacP/+/Y8//vjRo0eDBw9+//33udy6nxrnzp07f/58dnb2zJkzn3/+eUfE+ESpAVxL7gKAOBAtIOymTHQDa3wa3FiTQCDw9/dveh8A8PLyepbdujOZrG2WX6KbkmYLCQru2hUXueH9uOENP9ddjba0AAAgAElEQVShDTqgLLRBCwCMQc/QFDAMY9BiHB67kSSEFztMzmIz+hr1o3AcMBxv/FGigQZJWCwAPMh4cPLKab1Zz2Vxh0Q/1yO0B2CY63sb6MpyIG1/uhjOezLLF2OxMRa7oaM28sOG9eGG9Xn2/c1mM0VRZL1P6Menx4TPjX/2oz0VIXXmRTnT2XlcT5O194kNq4LEg6I4rrXWodF6PYvd+I+PYWy/RpNPm6igqBvbK1XaSidvZwAwGU2Ftx/OHDq1gfAkimY1xjRWVXXzYTGVgQEAsUiIcTr6gyQEQdqfyWQaMWLEnDlz3njjjffff/9//ud/1qxZU2efjRs3CgSCEydOREZGOjwhvFhMR+vSAYCLOhB2V1yi7h0RQzN8ViO3SUhHhRJCpBlwLh8AcIH42b8FI0h+9NBmncVSVYVz+UfPHLtWeFPZw0OM8xmG2Zt8MD37/sT4CThPWDMD7A4CvPzPFl9SeNRackZXWeRyu/SltK6tvXbr2vXkW2baLBdI/zZ5SXPPRVFUbm6uqkKldFG6u6NymtXKTQAAcvuuxkUQpLPau3evUChctWoVAKxdu7Z3796fffZZ7Rk98PPPPwPA8OHDHRNibecLGRdSYuCIucHRjo4FcYy+ob3PZ15y9n/yeDo/JXd6P9RUsJNBCSHSEWm12qtZN9xjqluXYhimDHa/c/veYNVzdsqCOrLoyOgzP58zSA1cQfUjt5Ls4iifXiyWvUbbMAzrE92nT3Qzxk5rysrJ2nlsNyVnWAK2Md0g1gvmvPhK3Rmn3ZJ1DaEMJYQIgjTk5s2b/ftXr7IODQ1lsVhpaWm9e/d2bFRNSCxiLrj/LWLU3wKFzZibg3QlA/sO0J7VXb12DZcRDI0x5dSomOFBgUGOjgtpHpQQIh1RzsMc0qnupwvPlX8/834/ecPTWVvPbDbfTb1XWFagVLiFhfawX7rVXCwWa8mMxbuP7M1TP6IIhk2RA8L6PddvkKPjapher//tyDa3vt6YtWSQG5iMpp/2/PL3eX9zdGiOV25kAECO5osiCNKQoqKimg895XJ5UVFRm5+lvLw8IyMjJuZJOb0lS5bMnFldKU2n01ksFhx/epMhIwXXSzkYjkWITRrNU1antxWtVtuRazd0z/AGxPSLCY8qLi4mCMLZ2ZnFYmk0zSs4B4+X5FgsT2pNMA00lkYaYDKZmv7NcrlcknxKxocSQqQjarC8L4bjNG2vBoCZ2Znbj+8i3Tk8ES8pN/Wvy4enj5ji79tRljILhcI5L73CMIzJZOJwOvQAU3JqCtdHiNUoIMvmsMs4hpKSkvrVEboVCw0aM5A4CDvKowYEQToWkUhkMBhsb7VarVjcjDUaz0gmk3l4eGzYsMG2JSAgwNZzC8dxLpf7LAlhUhFjoCyRcsxD1kARbzthGKaJ9mAO123DEwqFTfSjfxbWhLDmfUJHTq07FDabLRAIWvmbRQkh0hF5eXqZrhrBq9ZGfZEmIDLAHqczm83bju5U9vW0pjECiZBxZ7Yd3bl8/tsdZ5wQADAM6+DZIAAUl5VwhXUrBmF8XK1Wd/OEUGUEBkDGbqBRDIIgCAD4+PgcO3bM+lqtVpeVlXl7ezf9LS3D5XJjY2NbeZDEIgYA6jRJRpCuymQyqdVqZ2fntjqgRqOhadoeD31a4OlPgBCk/YnF4nCX0OLMQtuWkpxif763S+0uC20lMysLd2XVHNTCcIxQsjOzMu1xuq7NReFs0OjrbGR0NFpDWG5C80URBGnK1KlTz507l5qaCgAbN27s27evtQnb4cOHjx496ujo6qqTEOp0ut2H9nz/67o1v67789hfJlM7TSJFkOb6+eefh9cwbty4xvb89ddfy8urW51dunSplcWcKioqtmzZYnv71VdfffDBB605YBtCI4RIB/Vi/IQbSTcTb18wWIxckjOkx4B+sX3tdK5KbSXJrTsSyOKxKior7HTGLqxnj4ijV48xrnJbgm0ymgRGrrOzc1VVlWNjc6xyIwDAgsKdmnMC4eAJjg4HQZAOx8vLa/Xq1QMHDvT09FSr1Xv27LFu3759O4vFGjVqFAC8/PLLv/32GwCcPHnyjTfe2Llz55QpU9o/VAbgYjENjxNClUr1w6710nAnoYcUADJVud/89N3fXnmdz+e3f2wI0rSMjAyapleuXGl9SxAN9I62Wr58eUxMjLXXX69evf773/+25rwFBQXLly+fPXu29e28efNqrpl0LJQQIh0UhmGxvWJie8U8fddWc1E4mzONdTYaKw2uwa4N7o80gcvlzho9Y+exPygFxuKzTGqjSM+fN2mOo+NyPJURhJRuVsbPlQUilBAiCNKgZcuWzZ8/v6ioyN/f31YHYvPmzbYdtm7dunXrVgdF98R9NVOsB3c+5ivCAGDf8QNO0Uo2p7oanEguIsKJQ6cOvTQWtR9AOiJnZ+ehQ+s2Rdu4ceOhQ4fMZnNoaOiqVas2b95cWVm5cuVKmUz26quvKhSKo0ePWudaJyQkvPbaa2vWrKmsrHzrrbfCwsJWrVqVnZ09Y8aMGTNmAEBubu6PP/54584dsVg8c+bMsWPHAsC///3vysrKxYsXW1/fvXtXq9UGBAQAQFpa2n/+85/CwsJ+/fq99dZbbDbbepbFixd///33lZWVc+bMmTDBjncOKCFEEPDy9OIcZ5kMJja3+sPMZDBx1CxvL7ss3ujy/Hz83pn/VnUfwp6oD2G1ciOjtKigmZ08EQTpbiQSSZ059h2wukad+aKlujInjrLmDnwR/1FWgQMiQ7qcEgPsy6HpVtccHemB+Ymq/2IrKipu3LhhfS0UCoODg3fv3r1mzZrvv/+ez+dfvnyZoqiBAwdyudzRo0f7+Ph4e3unp6f//vvv//znPwFgw4YNmZmZK1asSE9PHz9+/PPPPz9nzpxhw4bNnTs3IiIiIiKioKAgMDBwwoQJRUVFS5cu5fP5w4YNi4uL279//9SpUwGAx+NduXKlrKxsypQpeXl5AwYM+PDDD2fNmvX5559fv359x44d1rNkZGQsX75cpVK9/PLLN2/eDAwMbO2/QiNQQtiuzGbzsbMnHhQ8sNCUlCsZN+wFF2e7LIpDmgXH8demzP/twLZ8pgjnE7SOkoP0tSnzn6XMGtIggiB8fX19wdfRgXQgKiO4mFUAQIi7XS9NpIMYOXLk9evXHR1FR4fj+BdffOGQeZgdXEVFxeVbV0pUpd5uXpc04efT38YMPWD4CgAAaOhuHbUNQNrCv25R/0lugyLz473x/aOqZ4dev349ISHB+rpnz56bNm169OiRq6treHi4XC63DgP26tWLzWYPGDAgLCwMANLT02sebdWqVf369Rs+fPg333wzevToyZMnA0B8fPy5c+ciIiL69u0bExOTl5dHkuTEiRP37t07bNiwPn36sNnsESNG1Als06ZNI0eOXLZsGQD89NNP7u7uubm5Xl5eALB69ep+/foBwG+//Xb+/PkOlxAWFxd/+umn1n6p7777rkBQq+Kw2Wzevn37iRMnSkpKwsPDly1b5ubm1hbRdm5ms3nNlnWEH1sUKQcAi8n8w771s4bNCAqw128XeXZisTjh5UVqtbq8vFwmk6EKKEibKzeBi6UcUEKIOE52dvbx48f9/PwcHUiH9tlnn+Xm5jo6ig4n8UriqbvnJf4yni/vennSnX07CUO2i0t1pwEJR0JZKIJ8shbLqDM4CZ0cFCzSpSwOxc00WFqXEnIImO7/5Cn/8OHDraNwNnPmzDl9+rSPj0/v3r3nz58/Z85TlrrYLqRSqbTm64qKCgC4cuXKK6+84u3tLZfLMzMzrfNCG5OZmRkREWF97eTk5O7unpmZaU0I/f2r+5/J5XLrke2khQnh+PHjw8PDly9f/uWXXy5atKjOdPaSkpLNmzfPmjXLw8Njy5YtQ4YMSUpK4vHqVqLvbi5cucB4EiJFdaZBslleffz2n/nznYBlNXfLycnJfpQtEUkC/QM7cjebLqn+RB0EaSvlRsbFOmUUJYSI44jFYmuBBKQx6HalvoqKilN3z3rE+FjfsmUy31D2gTOVbweHW7eMHzZu/f5NymgP6zJCg9ZQllQ0c8brDosY6UJ6SLG1Axut+9JWpFLp7t27NRrNgQMHli1b5uHhMXz48CZma9f8Uv3dPv7443fffXfBggUA8Mknn6SkpFh3YxoaNlcoFKWlpdbXFEWpVConJ6fGjmwnLUkIExMTMzIyEhMTSZIMDw/39vb+4osvai4Tcnd3P3nypPX1yJEjpVLp7du3+/fv3zYhd1rpuQ+kPWp9DGMYpscNRqPR2lxOp9P99MfPFVyNwEloyjMdvHZkWM/BA/sMtF9Ier3+9MUzj4rz+Bxe/179Avzt0uUPQRAAUBnBB40QIgjSCSXdTRJ6P3lamqtlPM2l4MKrkiitQ4RuSuUbLyUcOPlnqa4IA1CKXV+Z9YZIJHJUwAjSNKPRWFJSYnvr5OSUnJzs5eUllUqnTp365ZdfqtVqAHB1db137551ymizUBRlPUJeXt7mzZut0z5dXFzUanVhYaFSWWvB7cSJE6dOnfr222/7+PisWbPGw8MjJCSktT9hM7UkIbx27Vrfvn2txa9cXV39/Pxu3brVWN2IwsJCg8GAqko0BgPMlv3/fmA7BLLdBB7VX/OAE7fP+Hj4eLh7NPr9rfAo79FPB7dIeygEYUK9hdp+bXdgit+08WjVBILYRbkR+ljQGkIEQTofjV7Lelx0DQAeVVExlrIyLmlx8rJtVCgU86bOdUR0CNI8IpHoypUrkZGRti1paWmXLl2Kj4/n8XgGg2Hs2LHWkp6rVq368MMPlyxZsnbtWm9vb1tXeplMZrt7F4lELFZ16zI+n2+dYrBy5cpp06atXbtWJBJNmzbNOgAol8s/+OCDuLi4wsLClJQUkUhkbTsxZMiQ999/f8CAAQRBKJXKHTt2WJOsmmfh8/lcLtd+/yYtSQiLiork8ic3NAqFoqCg4UJSFotlwYIFixYt8vZudrXGioqK7OzsuLg425Y5c+a89FJ1/WK9Xm82mztszQ+NRlN/o7eL142HyXK3J/90DM3gBjAajUaj0Ww256rz3FieNXu5Sv0UJxJPTYqfaI/wtuzfqoh1xXHcekaFv/O9tLTbSbf9/fzb9nQtC69jMpvNFEWZzWZHB9IwvV7PZrOb6KjjWE3/Zrlcru2S2iWpjEz1GkIJSggRBOlMvJReyVlpfFF1U0GtqoxgKKOR4+Ll49jAEKQFli9fvnz58jobFy5cuHDhQq1Wy+fzbWnYuHHjaratP3HihPWFbYZnzY0A8PXXX1tf9O/f/+HDhzqdrk4rzg8++MDWjP7tt9+2bX/zzTfffPNN25zB+mdZt25ds3/O5mhJQigQCAwGg+2tTqdrcFYATdPz58/Hcfybb75pwVkkEomzs/N7771n2xIdHW07EUEQXC63wyaEAFD/32T4kLh7v6QaBHqxkwQAzEZzwe1Hr4yaad1TrVazhRxr4xEbNpttyjPYadIFI8LqPGxwC/ZMzU7rFdnLHqdrlg47z8SaENr1IU1rkCTZkRNC6MC/2XZQ/rjKKFpDiCBI5xIW2uPwxaNGZyOHx6EYYFcVa6pMfkJvsRg10UG6lDplMlupTjb4VDWzwXbWkoTQy8trz5491tcURT18+NBaCacmhmEWLVqUl5d38ODBlv14GIYJBIL6tVk7L5Ik35jz+vGzJx4kZZhps4wnXfriYtvos0AgAEPdCkp6jc5dYpe+FGazGSPrLlQlWaTBaGhwfwRBWkllZFzNaA0hgiCdD0EQi6e9tvPQH/n63EIax6/ccdGpp70zy9FxIQjSNlqSEI4fP/7111+/ceNGTEzM3r17xWKxda3k5cuXVSrVmDFjGIZ544037t27d+TIEVStqyaSJOPjRjf2pQAn/6KyUlsZUoZhSu8Wz5g82R6RSCQSRls3/6woLu/jFWWP0yEIojeYRLQWI0ich6oHIwgAgMFgKCkpqf9MucXKy8spirIV6EPakFgsfnX6fJPJ9PmlioXJl+UShTDY8fOJEKTr0Wg0Go2mTuGZmh49eqRQKNo2w2rJlEuZTPbNN9+MHDly0KBBS5YsWbdunXXq5t69e3/44QcASEtLW7duXVJSkrX/hlwu379/fxsG3VW99MIkF7Us/2ZuYWZBYXp+ydWCGUOn1Fyu2YYIgugTGFucWWjbYtQZzDmGfjF97XE6pIuhafrWnVs7Duz689jB3EePHB1OJ6CzgMSoAgBcIof2qiKNIO1mw4YNA2qouf6/jjVr1tgWxly5cmXs2LGtOW9ZWdmaNWtsb7/77rtPPvmkNQdEmsZms4tKquS0xiByJaTOjg4HQVqizvXKav78+Y6Oq9r+/ftfffXVJnaYMGHChQsX2vakLexDuHDhwpdeeik7Ozs4ONjWK2/lypUURQFAUFCQSqWquX/bTsntqkiSnPHiDI1GU1RUxOPxXF1d7boYbOTQEaJrorNXz5sJC05jbiLXl2csrrOIEUHq02g0G3ZusjgzEqWs1Fxx+1xKiDjgpRcmt1u3nM7oSUUZNF8U6Ypyc3OFQuGnn35qfdvEh9e//vWvuLg46yBeTEzM77//3przFhcXr169+o033rC+XbhwobVqH2InDAD2MBkA2AERjo4FQVpo7NixUVFRALBt27Zz586tXbsWun2q0sKEEACsQ381t9jWChIEgfretphQKGy3fvT9e/fr37ufyWRisVjobh55RrsO/cHrIeLwuQDA4rB44fyMzJyk5KRePdH0oUaVGwElhEjXJpPJ+vTpU3MLwzDffffdkSNHzGZzaGjol19+uXnz5srKypUrV8pksldffVUqle7YsePjjz8GgISEhDlz5nz77bdVVVXvvPNOz549P/jgg9zc3OnTp1uf3GdnZ3/zzTf37t0TiUTTp0+fNm0aAPz73/+urKxcvHix9fW1a9c0Gs2sWbMA4M6dO1999VVhYWH//v1XrFhhnV6VkJCwYMGCr776qqqqat68edaDIM/uvpoJq0gGAMXjlvQI0um4u7tb++ElJiaKxWLrhWvFihXjx49fv369wWDYuHHje++9Z5t98O233w4ePDg2NhYAzpw5s2HDBpVKFRcXt2zZMmt/CJtjx47l5eWVlZUdOnQoODj4f//3fw8fPrxp0yYnJ6dPP/3UOj1eo9F8+umnN27c8PDwWLFiRXBwMADQNP3ll1+eOHHC398/PPzJf66ysrLPPvvszp07Pj4+77//vo+Pver6tjwhRLoMNCqIPDuGYfIrC934tdb8OPu6Xrt7AyWETVA9LjFKiFBCiDhegQ62ZtBU3YXkzTbJFwuWVD9MLC0tPX/+vPW1WCyOjIzcuXPnr7/+un79ei6Xe/XqVYqiRo0axePxpk2b5ufn5+fnl5ycvGfPHmtCuGHDhpycnA8//DAtLW3y5MnDhg1bsmQJQRDTp0+Pjo6OiooqKysbMGDA4sWL8/PzExISpFLpqFGjJk6ceODAgUWLFgGAQCC4efNmWVnZrFmzHj58OHjw4C+++KJ3796rV6+eOXPm3r17rWfJzs7+4IMPysrKZs+e3atXr/ZvAN2pJRYxvXX3AIDtj0YIkXZCVap0104C05wLFkEK+ozABc2ogvvrr78eP3581apVcrlcp9Nt2rTJlhD+9ddfHh4esbGxR48eTUhIWLNmjaen50cffVRQUPDVV1/VPMjt27f/9a9/ffjhh//+97/ffffd+Pj4qKio1atXb9q0aeHChYcPHwaAiRMnenp6fv7552fPnh0wYMC9e/dcXFxWrlx54sSJ77//Pjs7+8033+zVqxcAGAwG61zWr7/++ty5c0OHDk1JSbHTSCZKCJFmYxgGDSd2WxRFMfWWHmM4ZqRMDe2OVKswV48Qop4TSEfw+W3qu5RWp4MA54uwA6OqbySSk5Nt/bXCw8PXrl1bXFwsFouVSqWbm1uPHj0AICAggMVihYWFhYWF1T/aqlWrevfuPWDAgM8//3zs2LHx8fEAMHr06MTExKioqNjY2IiIiIyMDJlMNn78+D///HPUqFGhoaEsFsv65L6mTZs2vfDCCwsXLgSAjRs3KpXKnJwc68P11atX9+7dGwCGDx9+4cIFlBA2y53MwpHmUhNHxHJts1JACNK0quPbNWf3Nfe7GL1GPGZOs77ln//85wsvvAAAhYWFDe7w2WefrV692rrPDz/8EBoaWichBICYmJi33noLAJYuXbpw4cLTp0+TJOns7Gwd90tOTr527dqBAwf4fH5UVNSRI0e2bNnyzjvvrFu37vDhwzExMTExMZcuXUpJSQGAHTt2+Pr6/vOf/wSA8PDwvXv3HjlyZLJ9ik2ihBB5VjRNn7t47ur9GwbayMHZoe4h8cNGde1O4kh9JEmymbrXDaPeKEcDX01SGYFLmwCAlKEyDIjj/S0cF5DQ+oxwit+T50PPP//8jh07an517ty5ly9fDgkJ6dGjx/z58xMSEpo+mre3t/WFWCy2zYySSCSVlZUAcP78+Tlz5oSHhyuVyrS0NDc3tyYOlZOTY01BAUAmk7m5uWVnZ1uPWfPIarX62X9YBAA06ckAgPlGoOJYSLsRDpmIsbnAMM34HhwXDBjT3BMFBQU1vcP9+/dXr15t6z6vUCiqqqrqNFi2XWHEYrGHh4d1TqlYLNZoNDRNZ2dn+/r62voThoeHZ2VlaTSasrIy28Op0NBQa0J4//7927dvWx9gAYBOp7PfJQslhMiz2vnnH7lkgSLG1fo2s/Th5h0/LX55oWOjQmzy8vLuPbgn4Al7BIdKpVL7nahvSO/LmTec/av/EmiaLkrKnzr5Kbd63Vy5Eda5vOQT6Dc/5nlHx4IgECjGPu1jx6JlViKRaMuWLUaj8ciRIwkJCX5+fqNHj8YwjGnkxq7puSf/+te/Vq5cOWfOHAD46KOPUlNTrd/S4NGcnZ2Li4utr81mc1lZmYuLy7OcBWlCkooJLr8DAIoQtIAQaT+kk7tkXHuUALVVw+JwOGazmaIo6xZbpUwXF5ePPvpo4sSJTRyk5hWm/tXGemmyTbUr+P/t3XlAE9f+P/wzWdiSsIUQQtgEQVBERRAUQesCotgqomjdt+K9vdVqr/Wp/Woftb211+61VWu1tNbrfq2iF0GtUpcqiyLIohB2CBAkECLZM78/po0YUSEkTIDP66/JMJn5kJA3OTNnzhEKfX19GQyGtbW1SCQi2pYNDQ26w40dO5bo7m5qhkw7AQYgiURS0lLGdnsyuZOtk90ji5aKygqyStJqtTcyb+4/emDvf/anXUlTKgdul0WVSnXg2I/J1w/fUxbdEGfuPrM39bc00x1uQsSEcO5o4e3q+oLaunvVkruPlsUsYrPZpjtiPyBW4E1Ue2HAVIwGF9VB/9Te3l7ZAY7jd+7caWxstLS0jI6OdnZ2lslkCCEej5ebm0uMSd4tFAqlrq4OIVReXn7w4EFiJZfLlUgkAoFAb+PZs2cfOXKkpKQEIfTZZ595eXkRIzeAnkirwSMe5yGErP31++gC0J84ODhwudxz584hhM6fP5+bm0usX7p06Y4dO4RCIUJIoVBcuXKlu3seNWqUjY3N999/jxDKy8s7e/bsrFmzMAybNWvWzp07cRxvaGjQ5dvs2bOvXbt2/vx54mFOTo7uPJfRwRVC0CXCeiHdQf+LLIPDKqsq9/L06v16VCrV3v98r+RqHYeyaQg9aK64k/zl3+a9YdIrY2br17Qzj7lKV0c3tVpNpVIxnlPug3yPIrdhAaY6iRs1NioyPFIsFltaWg7wkZq7qFmBEEIOMH4T6KccHR2Lioo6Tj+Ym5ubn58/Z84clUqFYVhCQsKrr76KENq5c+f27du3bt36+eefu7q66mal9/b21p2e5/P5ui5VTk5OxLjl27dvX7hw4ddff+3h4bF69WqRSIQQcnBw+Oijj+bOndva2nrz5k1HR0fivPu4ceM+/vjjmJiY9vZ2f3//kydPEjvveBQOh2NnZ9c7r0//kFajLXeIXcaXuLkOIrsWAIzA3t6eGG4UIeTh4dFxkMV9+/a98cYbq1ateu211xITE4nx/9966y25XD5+/HiZTEalUhcsWPDKK6/o7ZDD+fPGEGtraz6fTyxTKBRvb2+EkIWFxenTp9esWfPBBx8wmcw9e/YEBQUhhL788sulS5e6uLg4OzsvXry4srISIeTm5paSkrJx48bVq1drNJqAgIBDhw4hhNzd3XUJaSzP7blBuvv37y9YsCA/P7/Tn7a3t1tZWVEoZnqF89kuxSYikUgu37giahHZ2rAiQyP5f/1Zv5gB5ZWXlx+791+u91P3bIgbxWGsURFh47q1q5fqSnnpVy8WaUtsnZ40/5QKJb0MX5Fo2k4FRBcCKysrkx6luz758VPn0a4IoT8bhBiGa3HtA8WqxBVkl/aUXvtc9L6X5tWKWxbHyvAjr1Dn+5hdapn5+wLlGezZvPL19U1NTR08eDCJVZm/Dz74gEqlrl+/3mzf2R4y7PvVYzViH1KptahhEZ1tafoqn8OcP3EIyusByCvDGCuvzO6rCei6gqKCL4/vFto30YfZtPHlyb8dSr+abqJj8fl8TZNKb2V7XVuAr7+JjvhiJTWlHVuDCCELS4vGx02kFEMuHMdVuP5EzBgFk6vkpNQDOiVW4AghB0u4eQkA0CddqcMVGhTCwUhsDQIATAS6jPZVGo3m7I1zbqGeRPcYmgXdNcg9897d4KZgJyenlz69uywsLGJCpqTeucgd5kq3pGs1mvrCulD3UY6O5IwtqUWdXNnudGW/h2GYJabfE1Gj1rAsmaTUAzolVmII4Y7wRQoA0Del1WgRQtPc4KwWMCNqtbqgoKDgYaFY0mLHtB3i7RcUFGRpCf9ruw2uEPZVQqEQt6fqjV/EcrO9X3zfREcMGRmyZsYqVq2l/H4bTYAWR28FmpQAACAASURBVC2IeSXGRMd6KQ6LrWh/6goYrsWZVCP3qO4rRgwa3lzz1NVR4f3qV8InklQO6ISYuIcQ/kkBQIbm5ubS0tIXbFBSUiKVSnutnr7oQg2OEIpxg++NwFxUV1dv/3THoatHBJSqdr6y0rLuRNbprf/+/4uKisgure+BK4R9lUqlwmj6J+qodJpMqTDdQTkczoJZ8023/66bNiHmm+PfOY9ytbC0QAhptdqau1ULJySSXRc5pk6YorioyMspwFkYBcewVjwuLNbD3YPsusATzQocIeQIXUZBP/Xdd9/t27dPb+XQoUOPHDlCSj16Lly4cPjwYd1gfc9KTEzctWvX5MmTe7OqPqS8DS+V4A6WaAwHQgyYherq6s8PfMkf6zmI96RbnKs3X9Is2XN835p5bwwNGPq85+7du/eHH35ACNna2rq7u0dFRS1ZsuQFE2uLRKITJ078/e9/N+6vYFagQdhXcTgcTav+TX2tDS0ildUPRw/QqLQR/iNGBo7orxMu2dvb/31O0q+XzjQ8rtUirS2dtWzyQk8PT5MeVFgvzCvKV6lUgUMCvTxNe6xuwTBsZnTcFNnkiooKBoPh6upKTIQKzIQWR0gmfa3tji11AqQu6Jfmzp07YcIEhNChQ4cyMjKIL1vW1tZk1wWMI7UaRwhN5VOo/fM7BehjNBrNwSM/uoZ5sHn6N0nZOtr6vhLw4/Hk7e9ue14ECYVCLpf7zTffiMXioqKinTt3JicnX7p06Xl9TYVC4ccff9y/G4Rw6b+vYjKZfo6Dm2sf6daIakV3rmQ9cpJQh1prfWmXKjL2Hd5vwFxPfQWbzV6ZuOL/W7HxveXv/mPx303aGsRx/NjZ4wd/+7kYE5RaVP0n8/gPRw+qVPoNcnJZW1t7eXnx+XxoDZqbNjW2tuHI7updyvwbZNcCgElwOJxhw4YNGzbMxcWFwWAQy5988snFixcTEhKmT5/e0tKycOFC3fYffvjhrVu3iOXU1NT4+PioqKht27Y9O6NsSkrKt99+u3379vDw8KVLl7a0tBw6dCgqKmr27NllZWXENi0tLevWrRs/fvz8+fN1g2eq1eoPPvggIiJi2bJlHSfvqq+v/9vf/jZ+/PiFCxcSExWCl0qrJfqLQnMQmIWHDx+20R878Tmd/pRpz6K4WNy5e/cFe2Aymd7e3qNHj160aNGtW7cqKiqSk5OJPa9cuTIiImLatGnEHA8Ioffff//Ro0fz5s2bN2+eRCK5e/fu4sWLx44dO2PGjLNnzxr7lyMHfHHswxJmxP92/cqd7LtKipqmpVSX10x6PdqGaYMQwiiYkydHXC++fuv6hIgJZFdqWr1wFfRm5h/VVKFroLtWq9VqtXaOdm2PJP+7nPratFdNd1CVSiUSiXAc53A4HefGAX1OswL3UNYjhDAqzEoPzIJG3Nh+JwN1ayAujGITMplq69D1Z5w7d+7OnTuffvqpg4ODXC7/73//q/vR77//PmTIkPDw8HPnzm3YsGH//v08Hm/r1q3vvPPON99803EnDx482L59+65du5KTk995552pU6dOnDjx+++/379//xtvvHHp0iUcx+Pi4oYNG/bjjz9mZGRERkYWFRXxeLz3338/MzPzwIEDFRUVq1atGjFiBEKovb193Lhx69at27hx4/Xr1ydNmlRYWGi2A/GbCaUWNZUWv9ZeP5U/6eVbA2B6DwUPGTzbF2zg6MYueFgQMa5L86Ixmczo6OjLly8nJSVJpdJZs2YFBgbW1dUtX76cy+VGR0cvXrw4MzNz06ZNCCEbGxupVLp48WI/Pz+BQLB06VJ3d/dRo0YZ5xcjDzQI+zAKhTIlavKUqMlKpdLCwmLnwX8TrUEdBxeHwvyift8g7AW5JffYQU+diGKxbUvvCEx3xD+yb1299zuypyKE463acUPCJsL72Ge1KDFntRghRLUlZ1ReAPS0XTkl/f1Md5+FK9ptY5d06ymbN28mupLW19d3usGuXbs+/PBDYpuvv/7a19dXr0GIEAoPD09KSkIIJSUlrV69+pNPPqFQKG+//XZAQABCKD8/v6Cg4NKlS1ZWVr6+vmfPnv3ll182bty4f//+y5cv+/v7+/v7L168OC8vDyF07Ngxf3//devWIYS8vb2PHTuWnp4+Z86c7r4UA8qNeu3nZTv5KhFPE4xQN84IAGAirVKJpfWLRmmzsrFqaWvp+g75fP7NmzcRQsHBwUOGDCksLJTJZJGRkampqdHR0f7+/hYWFqNHjyY2joyMlEgkhYWFOI6HhYWlp6dDgxCYBeLyUaeTLmhwba+X0380NDRU1VUzrRkypcwG2en9VKXVn/3PWAqLCy+X/M4PddOt+aMkm5nLCBkZYqIjApMSKzGuuhlBgxCYDdbEORRrJq7uRr93jG7BGDe9uwfy8fF58QalpaUbNmx47733iIdOTk4SicTW9qlz/25uf4Yhk8nk8XjEnOksFuvx48darbaqqsrDw0M3n7W/v39lZaVUKhWLxb6+vsRKPz8/okEoEAhu3LjRsSqJRNLdX2qguZNfkqgStdlw3Fj2L98aANOzY9oK2ipfsIG8Xe7QnT/X2tpaNpuNEEpLS0tKSoqIiHBycqqqquJyuc9ufOTIkc2bN0dGRrLZbKFQKBKJulu/GYIGYf9hQ7HGcbxj/0lFu5zDYpNYUt+lUCh++fVwvbbJ0tFao1Jn38sczgt257t13MaKaqo5BDJyfncN5Hdc4+LLu3nvNjQI+yixXBuobsUxjAJfp4B5oDo628Yu7oUDEY03hJCVlZVKpdJoNFQqFSHU1PTnTDk8Hm/z5s3x8fEv2EnH/2vP3iPA5XIbGhq0Wi1xrNraWn9/fwaDYWNjIxQKiTZhXV2d7nBRUVEpKSnG+fUGBk3hbYSQZkgY6qfD1IE+x8/H7/fUm2jYczdorm4aHxTWxb1JpdL09PQtW7YghHbu3Llr1665c+cihDZt2lRbW4sQolAoOP7kosuOHTuSk5OJfg3Lli0z/NcwJzCoTP8xNWxybV4Vrv3zT1atVIny6mMmkDZVYJ924twJOV/jOsyNzWM7e3DHTA/PvHarra1Nt0H9w7qIoLEmOrpco3j2S49cLe90Y2D+2tukNFwtpzMxOtwLCgYoe3t7Pp9/4sQJHMePHz+uG/pl1apV27ZtKy8vRwhJJJL//e9/3d3zyJEj7e3tv/rqKxzHb9++nZKSkpCQgGFYQkLChx9+qFKpqqurDx48SGwcHx//xx9/HD9+HMdxjUZz7dq15/VlBYR6GQpszEIIeYZ09es1AKbm5+dnq2Y01XZ+aa5NLNE2qINf2I1TKpWWlZXdvXv38OHD4eHhgwYNWrp0KULI0tKSmLO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      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "assimilated_system = remake(problem, p = sol.u, tspan=(0.,60.))\n",
    "assimilated_ode_solution = DifferentialEquations.solve(assimilated_system)\n",
    "\n",
    "# A\n",
    "pA = plot(assimilated_ode_solution(0:60, idxs=1), labels=\"Estimation\", title=\"Compartment A\")\n",
    "plot!(pA, new_ode_solution(0:60, idxs=1), labels=\"True model\", ls=:dash)\n",
    "scatter!(pA, 0:60, data_AC'[:,1], labels=\"Data\", alpha=0.5)\n",
    "\n",
    "# B\n",
    "pB = plot(assimilated_ode_solution(0:60, idxs=2), labels=\"Estimation\", title=\"Compartment B\")\n",
    "plot!(pB, new_ode_solution(0:60, idxs=2), labels=\"True model\", ls=:dash)\n",
    "\n",
    "# C\n",
    "pC = plot(assimilated_ode_solution(0:60, idxs=3), labels=\"Estimation\", title=\"Compartment C\")\n",
    "plot!(pC, new_ode_solution(0:60, idxs=3), labels=\"True model\", ls=:dash)\n",
    "scatter!(pC, 0:60, data_AC'[:,2], labels=\"Data\", alpha=0.5)\n",
    "\n",
    "plot(pA, pB, pC, linewidth=2, xlabel=\"Time\", ylabel=\"Concentration\", \n",
    "labelfontsize=8, titlefontsize = 10, titlefontfamily = \"Helvetica Bold\", layout=(1,3), size=(1200,300), palette=:seaborn_colorblind)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From these plots above, we can see that the model achieves good estimates for compartment A and C, while the compartment lacking data is incorrectly estimated. To see whether all four parameters are identifiable, we can perform an identifiability analysis, which is described in the next tutorial. "
   ]
  }
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