{ "cells": [ { "cell_type": "markdown", "id": "ab5196e9-cad0-4814-8a05-61a2b27141fa", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Parameter (uncertainty) estimates benchmarked with synthetic time series\n", "\n", "*Mark Bakker - Delft University of Technology*\n", "\n", "The purpose of this notebook is to demonstrate that the parameters estimated by Pastas are unbiased and that the coverage of the estimated uncertainty of the parameters is correct, i.e., the 95% confidence intervals of the estimated parameters contains the true parameter values approximately 95% of the time. \n", "\n", "All examples in this notebook use synthetic data. The true head is simulated with a known response function. The performance of Pastas is evaluated for head series with different kinds of both uncorrelated and correlated errors. The Notebook consists of the following sections:\n", "\n", "0. [Generation of the true head series.](#generation-of-synthetic-head-series-the-truth)\n", "1. [Modeling of synthetic heads that contain no errors.](#experiment-0-uncorrelated-errors-no-noise-model)\n", "2. [Modeling of synthetic heads with uncorrelated errors](#experiment-1-correlated-errors-with--no-noise-model)\n", "3. [Modeling of synthetic heads with correlated errors](#experiment-2-correlated-errors-with--with-ar1-noise-model)" ] }, { "cell_type": "code", "execution_count": null, "id": "3f9812c4-444d-4bd4-8bb8-759ef672ec27", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pastas version: 1.11.0.dev0\n", "Python version: 3.13.5\n", "NumPy version: 2.1.3\n", "Pandas version: 2.2.3\n", "SciPy version: 1.15.3\n", "Matplotlib version: 3.10.0\n", "Numba version: 0.61.0\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "DeprecationWarning: As of Pastas 1.5, no noisemodel is added to the pastas Model class by default anymore. To solve your model using a noisemodel, you have to explicitly add a noisemodel to your model before solving. For more information, and how to adapt your code, please see this issue on GitHub: https://github.com/pastas/pastas/issues/735" ] } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "from scipy.special import gammainc, gammaincinv\n", "\n", "import pastas as ps\n", "\n", "plt.rcParams[\"figure.figsize\"] = (5, 3) # default figure size\n", "ps.show_versions()" ] }, { "cell_type": "markdown", "id": "aadbb7aa-0a38-465e-b596-45b3a92b9ee5", "metadata": {}, "source": [ "The following function generates correlated data with an underlying standard deviation of $\\sigma_x$ and a correlation $\\rho$." ] }, { "cell_type": "code", "execution_count": 2, "id": "eb5c6d9b-6e6c-4963-bd63-8e13cbfce2a7", "metadata": {}, "outputs": [], "source": [ "def generate_correlated_data(N, sigx, rho, seed=1):\n", " \"\"\"\n", " N: length of array of correlated data\n", " sigx: standard deviation of the correlated data\n", " rho: correlation coefficient\n", " seed: seed to be used in random number generation\n", " \"\"\"\n", " sige = np.sqrt(1 - rho**2) * sigx\n", " np.random.seed(seed)\n", " e = np.random.normal(0, sige, N - 1)\n", " x = np.zeros(N)\n", " x[0] = np.random.normal(0, sigx) # first point variance sigx\n", " for j in range(1, len(x)):\n", " x[j] = rho * x[j - 1] + e[j - 1]\n", " return x" ] }, { "cell_type": "markdown", "id": "c2addd59-9d76-4fad-b1ff-237c1157f65b", "metadata": {}, "source": [ "## Generation of synthetic head series (the truth)" ] }, { "cell_type": "markdown", "id": "f932abe4-f890-4114-a7d2-e256b0401757", "metadata": {}, "source": [ "The synthetic head series are generated with a Gamma response function. The response functions are defined below for clarity (alternatively, the response function of Pastas can be used). " ] }, { "cell_type": "code", "execution_count": 3, "id": "c3ceb087-a63e-4420-90c6-3585a3b1116e", "metadata": {}, "outputs": [], "source": [ "def gamma_tmax(A, n, a, cutoff=0.999):\n", " \"\"\"returns time for which step function equals cutoff * A\"\"\"\n", " return gammaincinv(n, cutoff) * a\n", "\n", "\n", "def gamma_step(A, n, a, cutoff=0.999):\n", " \"\"\"\n", " returns gamma step function starting at t=0 with intervals of delt = 1\n", " tmax is the time for which the step function reaches cutoff * A\n", " \"\"\"\n", " tmax = gamma_tmax(A, n, a, cutoff)\n", " t = np.arange(0, tmax, 1)\n", " s = A * gammainc(n, t / a)\n", " return s\n", "\n", "\n", "def gamma_block(A, n, a, cutoff=0.999):\n", " \"\"\"returns the gamma block response starting at t=0 with intervals of delt = 1\"\"\"\n", " s = gamma_step(A, n, a, cutoff)\n", " return np.append(s[0], s[1:] - s[:-1])" ] }, { "cell_type": "markdown", "id": "0769a93e-0362-4968-84f9-b20bde72ff68", "metadata": {}, "source": [ "The Gamma response function requires three input arguments: A, n and a. The true values of the parameters used in this notebook are given below and the response function is drawn. The response function reflects the response to one unit of recharge during one day. For example, if the units of the recharge are mm/d, then the head response is in mm (in response to 1 mm of recharge). If the units of the recharge are m/d, then the head response is in m (in response to 1 m of recharge). " ] }, { "cell_type": "code", "execution_count": 4, "id": "6ff73d31-a015-4e27-a5d3-7ed90f2a1704", "metadata": {}, "outputs": [ { "data": { "image/png": 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HtY16lFo0d+5clJaWYuLEiUoz3crD4/HAGOP+q5f77bffUFpaWlNhakSeHN6Mdd26dWrt548//lB4fubMGSQmJnKzCssj/8O6detWhfKIiAjk5+dzr4eGhkIgEGDNmjVViiU0NBSHDx/GiRMn0L9/f7Vm776pf//+ePDgAezs7BAYGKj0KG+dn0gkQnBwMP7v//4PAJRmtP75558KMyETExNx5swZ7r3y9fVFgwYNsG3bNoV6+fn5iIiI4GbCaqqi+DRp6+tcXFzg5+eHiIgIXLp0iUuUvXr1wrNnz7B8+XJYWlpy/wCpig+o+miGOrTV83wTj8eDkZERBAIBV1ZYWIgtW7Yo1U1NTcUHH3yA4OBgnDlzBgMHDsT48eORkJCgUK+6Q6/ynp82l2/s3bsXGRkZau2ze/fuAJT/Rmzbtk1rcWmKepRa1LlzZ6xevRpTp05F27Zt8fHHH6N58+bg8/lITU1FREQEgLI1TPKvXbt2xffffw97e3t4enoiJiYG4eHhsLa21mFLlHXq1Ak2NjaYOHEi5s+fD6FQiD/++ANXrlxRaz8XL17EhAkTMGzYMDx+/BhffPEFGjRogEmTJlW4Ta9evdC7d298/vnnyM3NRefOnXH16lXMnz8fbdq0wahRowAAnp6emDdvHhYtWoTCwkJuGcTNmzeRkZGBhQsXKu37rbfewtGjR9GnTx+EhobiwIEDsLKyUu/NATBjxgxERESga9eu+OSTT9CqVSvIZDIkJSUhMjISn376KTp06ICvv/4aT548QUhICBo2bIjs7GysXLlS4XyvXHp6Ot5++2189NFHyMnJwfz582FiYoK5c+cCAPh8Pv73v/9h5MiR6N+/P/7zn/9AIpHg+++/R3Z2NpYuXap2O6oSX1XbqkpISAh++uknmJqaonPnzgAALy8veHl5ITIyEgMHDoSRkeo/T/Ir76xfvx4WFhYwMTGBl5dXuUOu6mrZsiWio6Oxb98+uLi4wMLCAr6+vtXeb79+/bB8+XKMGDECH3/8MTIzM7Fs2TKlf0BLS0vx/vvvg8fjYdu2bRAIBNi0aRP8/f0xfPhwnDp1ihvurU5cRUVF2LZtGzp16sSdZy3PwYMHkZ+fj7y8PABlF3v4+++/AZTNe3jzH7Lw8HCYmpqqdX4xNDQUXbt2xezZs5Gfn4/AwECcPn263H8iap3OphHVYfHx8ezDDz9kXl5eTCQSMRMTE+bt7c1Gjx6tNFvyyZMnbOjQoczGxoZZWFiwPn36sOvXrzMPDw+FWWry2XZvzjSUz2Z8fSkJY2UzR83MzLjn8lmv33//vUI9+QzLnTt3KpSXd7wzZ86woKAgJhaLmYODA5swYQK7fPkyA8A2btyo8j2R7y8yMpKNGjWKWVtbc1Pw7927pxT767NeGWOssLCQff7558zDw4MJhULm4uLC/vvf/yosK5HbvHkza9euHTMxMWHm5uasTZs2CvG9uTyEsbKp987Ozqxt27ZK7+XryttW7sWLF+zLL79kvr6+zNjYmFlZWbGWLVuyTz75hKWlpTHGGNu/fz/r27cva9CgATM2NmaOjo4sLCxMYSmH/DPZsmULmzZtGnNwcGAikYh16dKFXbx4Uem4e/bsYR06dGAmJibMzMyMhYSEsNOnTyvUqejnRP65JCQkVDm+qrZVlX/++YcBYL169VIo/+ijjxgAtmrVKqVtUM7MxxUrVjAvLy8mEAgUfg4r+pzK+9kqT3x8POvcuTMTi8UMAAsODmaMVf/3kDHGNmzYwHx9fZlIJGKNGjViS5YsYeHh4QqfwxdffMH4fL7S34szZ84wIyMjNn369ErbUBXy5UUbNmxQWc/Dw6PC2bTymOWSkpIYn89no0ePVjue7OxsNm7cOGZtbc3EYjHr1asXt6RIl7NeeYy9NmZDCNG56OhodO/eHTt37sQ777yj63AIqffoHCUhhBCiAiVKQgghRAUaeiWEEEJUoB4lIYQQogIlSkIIIUQFSpSEEEKICvXuggMymQwpKSmwsLDQ+B5rhBBCDB9jDHl5eXB1dVW4scCb6l2iTElJqfQ6oIQQQuqPx48fq7yZQr1LlBYWFgDK3hj5peQ0IZVKERkZidDQUK1dSLi2URv0R11oB7VBP1Abqi43Nxdubm5cXqhIvUuU8uFWS0vLaidKsVgMS0tLg/5hpDboh7rQDmqDfqA2qK+y03A0mYcQQghRgRIlIYQQogIlSkIIIUQFSpSEEEKICpQoCSGEEBV0mijXrFmDVq1acTNQg4KCcPDgQZXbxMTEICAgACYmJmjUqBHWrl1bS9ESQgipj3SaKBs2bIilS5fi4sWLuHjxInr06IFBgwbhxo0b5dZPSEhAWFgYunTpgri4OMybNw/Tpk1DRERELUdeTmwZ+fho80UM+vkUtsQ+At2UhRBC6gadrqMcMGCAwvPvvvsOa9aswdmzZ9G8eXOl+mvXroW7uztWrFgBAGjWrBkuXryIZcuWYejQobURcrnyiqQY8etZpOYUAQCuPMnBrbQ8fDe4BV0mjxBCDJzeXHCgtLQUO3fuRH5+PoKCgsqtExsbi9DQUIWy3r17Izw8HFKptNyFqRKJBBKJhHuem5sLoGxBq1Qq1The+bZSqRThpx8jNacIbjamGNTaBb/EPMS2c0lo4iDGyA7uGh+jpr3eBkNVF9oA1I12UBv0A7VB/eNURuc3br527RqCgoJQVFQEc3NzbNu2DWFhYeXWbdKkCcaOHYt58+ZxZWfOnEHnzp2RkpICFxcXpW0WLFiAhQsXKpVv27YNYrG42vEzBnwbJ0CGhIcPvEvRzoHheAoPexIFEPIY5vqXws6k2ochhBCiZQUFBRgxYgRycnJUXqlN5z1KX19fxMfHIzs7GxERERgzZgxiYmLg5+dXbv03hzLleb6iIc65c+di5syZ3HP5tf1CQ0OrfQm7qKgo+LTtjIyz52BsxMes93rATGSEvozh6aZLiH34HKcLXbB2SBuNj1OT5G3o1auXQV/qytDbANSNdlAb9AO1oerkI4yV0XmiNDY2hre3NwAgMDAQFy5cwMqVK7Fu3Tqlus7OzkhLS1MoS09Ph5GREezs7Mrdv0gkgkgkUioXCoVa+QCupOQBAPzdrGFtbsqVLxrcAr1XnMTR289wNeUFAjxsqn2smqKt90KX6kIbgLrRDmqDfqA2VG3/VaF36ygZYwrnFF8XFBSEqKgohbLIyEgEBgbq7AfiypOy/0jeTITejhYY2rYBAGDFkbu1HhchhBDt0GminDdvHk6ePIlHjx7h2rVr+OKLLxAdHY2RI0cCKBs2HT16NFd/4sSJSExMxMyZM3Hr1i1s2LAB4eHhmDVrlq6agAfPXgAAfJ2Ub9MytYcPjPg8nLyXgYuPntd2aIQQQrRAp4ny6dOnGDVqFHx9fRESEoJz587h0KFD6NWrFwAgNTUVSUlJXH0vLy8cOHAA0dHR8Pf3x6JFi7Bq1SqdLg158CwfAODtaK70mputGO8ElN0MdP2Jh7UaFyGEEO3Q6TnK8PBwla9v2rRJqSw4OBiXL1+uoYjUU1ACZBWUTS/2sjcrt86ELl7YfuExom49RWJmPjzsyq9HCCFEP+ndOUpDkl1c9tVaLISZqPz/ObwdLRDcxAGMARtPP6q94AghhGgFJcpqyC0uW5LiZKF6oeSELl4AgJ0XHyOn0HAXARNCSH1EibIa5D1KR0vl5Seve8vbHr5OFsgvLsXfl57UQmSEEEK0hRJlNeS+TJTOlqp7lDweDx8EeQAA/jyfRBdMJ4QQA0KJshrypGVDrw4WqnuUADDI3xWmQgHup7/AxcSsmg6NEEKIllCirIbC0rKvlqaVX+zA0kSIga1dAQB/nkuqpDYhhBB9QYmyGgpLyr5amFRtlc37L+8ksv9aKrILimsqLEIIIVpEibIaikrLhl4tTap2+bzWDa3QzMUSxSUy7LqcXJOhEUII0RJKlNWgbo+Sx+NhxMte5fYLNKmHEEIMASXKalDnHKXcIH9XiIz4uPv0Ba4l59RQZIQQQrSFEmU1FL3sUVpWsUdZVleIPi2cAYDWVBJCiAGgRKkhxtirHmUVz1HKyS+U/k98CiQlpdoOjRBCiBZRotRQobQUDGWTeSq6zmtFOjW2h4uVCXIKpTh6K70mwiOEEKIllCg1JC19NRHH2Ei9t1HA52HIy5s60/ArIYToN0qUGpKWyrjvjfg8tbcf2rZs+DX6TjrSc4u0FhchhBDtokSpIXmPUijggcdTP1E2cjBHgIcNZAzYHUdrKgkhRF9RotSQvEdpLND8LZRP6vn70hNaU0kIIXqKEqWG5D1KI4H6vUm5fq1cYCLk4176C1x9QmsqCSFEH1Gi1JC8RymsRo/S0kSIPs3L1lTuvPRYK3ERQgjRLkqUGtJGogSAoS+HX/ddSaU1lYQQoocoUWqoRD70qsGM19fRmkpCCNFvlCg1VKylHqWAz8PbbcrWVEbQmkpCCNE7lCg1JJ/MY1yNyTxy8uHX6LvP8CxPUu39EUII0R5KlBrizlGqeVWe8jR2MIe/mzVKZQz/xNOaSkII0Sc6TZRLlixBu3btYGFhAUdHRwwePBh37txRuU10dDR4PJ7S4/bt27UUdRltnaOUG/ramkpCCCH6Q6eJMiYmBpMnT8bZs2cRFRWFkpIShIaGIj8/v9Jt79y5g9TUVO7h4+NTCxG/oq1Zr3IDW7nCWMDH7bQ83EihNZWEEKIv1LvthZYdOnRI4fnGjRvh6OiIS5cuoWvXriq3dXR0hLW1daXHkEgkkEhenffLzc0FAEilUkilUvWDfqmwuGxbIz6qtR85sRAIaeqAgzeeYueFJDQJa1rtfVZGHrc24teVutAGoG60g9qgH6gN6h+nMjymR9dOu3//Pnx8fHDt2jW0aNGi3DrR0dHo3r07PD09UVRUBD8/P3z55Zfo3r17ufUXLFiAhQsXKpVv27YNYrFY41jPpvPw5wMB/Kxl+E8zWeUbVMGNLB7W3xbA3Ijhm4BSaKmzSgghpBwFBQUYMWIEcnJyYGlpWWE9vUmUjDEMGjQIWVlZOHnyZIX17ty5gxMnTiAgIAASiQRbtmzB2rVrER0dXW4vtLwepZubGzIyMlS+MZXZevYRFv57FyG+9lj7QVuN9/O6klIZuiw7gYwXxVg7wh8hzRy1st+KSKVSREVFoVevXhAK1bv5tL6oC20A6kY7qA36gdpQdbm5ubC3t680Uep06PV1U6ZMwdWrV3Hq1CmV9Xx9feHr68s9DwoKwuPHj7Fs2bJyE6VIJIJIJFIqFwqF1foAZC9P74qEAq19kEIhMNi/AX47lYA9V9LQp1UDrey38uNW773QB3WhDUDdaAe1QT9QG6q2/6rQi8G9qVOnYu/evTh+/DgaNmyo9vYdO3bEvXv3aiCyiml7Mo+cfPbr0dtPkZVfrNV9E0IIUZ9OEyVjDFOmTMGuXbtw7NgxeHl5abSfuLg4uLi4aDk61aQlZYmyOncPKU8zF0s0d7WEtJRh39UUre6bEEKI+nQ69Dp58mRs27YN//zzDywsLJCWlgYAsLKygqmpKQBg7ty5SE5OxubNmwEAK1asgKenJ5o3b47i4mJs3boVERERiIiIqNXYpTL5jZu1/7/G0LYNcSPlJiIuPcHoIE+t758QQkjV6bRHuWbNGuTk5KBbt25wcXHhHjt27ODqpKamIikpiXteXFyMWbNmoVWrVujSpQtOnTqFf//9F0OGDKnV2Gtq6BUABvm7wojPw5UnObj3NE/r+yeEEFJ1Ou1RVmXC7aZNmxSez549G7Nnz66hiKpO21fmeZ2duQjdfB1x5NZT/H35Ceb2bab1YxBCCKkavZjMY4hkL5N8DeRJAMA7AWUzXvfEJaNUphcreAghpF6iRKmnejR1go1YiKe5Epy6n6HrcAghpN6iRKmnjI34GNjaFQBdKJ0QQnSJEqWG5KdXebwaGnvFqzWVkTfSkFtkuNdtJIQQQ0aJUkPys4Y1lyaBlg2s4ONoDkmJDP9eTa3BIxFCCKkIJcpqqsEOJXg8HterjKDhV0II0QlKlBqqrWvJv92mAfg84GJiFh5lVH6fTkIIIdpFiVJDr4Zea3LwFXCyNEEXHwcAQMRl6lUSQkhto0SpoVeTeWr+WPLh112XkyGjNZWEEFKrKFFWUy3kSYT6OcHCxAjJ2YU4m5BZC0ckhBAiR4lSQ7XZrzMRCtC/VdndUSIuJdfikQkhhFCi1BQ39lo7h3vn5fDrweupeCEpqZ2DEkII0SxRbtmyBZ07d4arqysSExMBlN3+6p9//tFqcPqstibzyLV1t0EjezMUFJdi/xW6TyUhhNQWtRPlmjVrMHPmTISFhSE7OxulpaUAAGtra6xYsULb8em92pjMU3YcHoa3cwMA/Hnhce0clBBCiPqJ8qeffsKvv/6KL774AgKBgCsPDAzEtWvXtBqcPqulZZQKhgY0hFDAw5XH2biZklv7ARBCSD2kdqJMSEhAmzZtlMpFIhHy8+vPgnj2cvC1ljqUAAB7cxF6+TkBALZfSKqkNiGEEG1QO1F6eXkhPj5eqfzgwYPw8/PTRkwGoTbXUb7uvXbuAIDdcckoLC6t3YMTQkg9ZKTuBp999hkmT56MoqIiMMZw/vx5/Pnnn1iyZAl+++23mohRr9XWZB65t7zt0dDGFE+yCnHgWip3MQJCCCE1Q+1E+eGHH6KkpASzZ89GQUEBRowYgQYNGmDlypV47733aiJGvcSdoqzlHiWfz8N77dywLPIutl9IokRJCCE1TKPlIR999BESExORnp6OtLQ0PH78GOPHj9d2bHpNF5N55IYFukHA5+HCoyzcT8/TXSCEEFIPqJ0oCwsLUVBQAACwt7dHYWEhVqxYgcjISK0Hp99qfzKPnJOlCbr7OgIAtp+npSKEEFKT1E6UgwYNwubNmwEA2dnZaN++PX744QcMGjQIa9as0XqA+o5X27N5Xnq/fdmayojLTyApoUk9hBBSU9ROlJcvX0aXLl0AAH///TecnZ2RmJiIzZs3Y9WqVVoPUF/V8hXslAQ3cYCzpQmyCqSIvPFUR1EQQkjdp3aiLCgogIWFBQAgMjISQ4YMAZ/PR8eOHbnL2VXVkiVL0K5dO1hYWMDR0RGDBw/GnTt3Kt0uJiYGAQEBMDExQaNGjbB27Vp1m1Ftur7ZlZGAj3cDyyby0JpKQgipOWonSm9vb+zZswePHz/G4cOHERoaCgBIT0+HpaWlWvuKiYnB5MmTcfbsWURFRaGkpAShoaEqL1yQkJCAsLAwdOnSBXFxcZg3bx6mTZuGiIgIdZtSLbpaR/m6d9u5gccDTt/PxMNnL3QXCCGE1GFqLw/5+uuvMWLECHzyyScICQlBUFAQgLLeZXlX7FHl0KFDCs83btwIR0dHXLp0CV27di13m7Vr18Ld3Z27rmyzZs1w8eJFLFu2DEOHDlW3OdWmwzyJhjZi9PB1xNHb6dh6NglfD6g/F3wghJDaonaifOedd/DWW28hNTUVrVu35spDQkLw9ttvVyuYnJwcAICtrW2FdWJjY7lerFzv3r0RHh4OqVQKoVCo8JpEIoFEIuGe5+aWXSNVKpVCKpVqHGuprGwCjUwmq9Z+qmtE+4Y4ejsdOy89xvQeXhAbV/0jlcety/irqy60Aagb7aA26Adqg/rHqQyPMV2uCHyFMYZBgwYhKysLJ0+erLBekyZNMHbsWMybN48rO3PmDDp37oyUlBS4uLgo1F+wYAEWLlyotJ9t27ZBLBZrHO8f9/k4/4yP/u6l6NVAd2+hjAHfxQmQIeFheKNSdHLSi4+TEEL0nvyiOTk5OSpPHardo8zPz8fSpUtx9OhRpKenQyaTKbz+8OFD9aMFMGXKFFy9ehWnTp2qtO6bSzLkub68pRpz587FzJkzuee5ublwc3NDaGio2udUX3f876vAszQ08fFBWDdvjfejDU+tH2Hpobu4UmCNRX07VnnJilQqRVRUFHr16qXUEzcUdaENQN1oB7VBP1Abqk4+wlgZtRPlhAkTEBMTg1GjRsHFxUUr6winTp2KvXv34sSJE2jYUPUl2ZydnZGWlqZQlp6eDiMjI9jZ2SnVF4lEEIlESuVCobBaHwCPXzYPSiAQ6PyH8b32HvjxyH3cTsvD1ZQXCPSseOi6PNV9L/RBXWgDUDfaQW3QD9SGqu2/KtROlAcPHsS///6Lzp07qx3UmxhjmDp1Knbv3o3o6Gh4eXlVuk1QUBD27dunUBYZGYnAwMDa/aHgerG1d8iKWIuNMcjfFX9dfILNsYlqJ0pCCCEVU3t5iI2NjcrJNuqYPHkytm7dim3btsHCwgJpaWlIS0tDYWEhV2fu3LkYPXo093zixIlITEzEzJkzcevWLWzYsAHh4eGYNWuWVmKqKv04s/vK6CBPAMDB66l4lidRXZkQQkiVqZ0oFy1ahK+//pq73mt1rFmzBjk5OejWrRtcXFy4x44dO7g6qampSEp6taDey8sLBw4cQHR0NPz9/bFo0SKsWrWq1peGyPNkbd9mqyItGlihjbs1pKUM28/TBQgIIURb1B56/eGHH/DgwQM4OTnB09NTabjz8uXLVd5XVSbcbtq0SaksODhYrePUJH0YepUbHeSBuKRsbDufhP92awwjgUY3hyGEEPIatRPl4MGDayAMw6Pra72WJ6ylC77dfwupOUU4cusp+rRwqXwjQgghKqmdKOfPn18TcRgcpvOrvSoTGQnwXns3rD7+ABtOPaJESQghWqB2opS7dOkSbt26BR6PBz8/P7UvX2foXl3rVZ/6lGWTetafeIjzj57j6pNstGporeuQCCHEoKl9Eis9PR09evRAu3btMG3aNEyZMgUBAQEICQnBs2fPaiJGogYnSxP0b+UKAAg/laDjaAghxPCpnSinTp2K3Nxc3LhxA8+fP0dWVhauX7+O3NxcTJs2rSZi1EvcrFf96lACAMa/VbYe9d+rqUjNKaykNiGEEFXUTpSHDh3CmjVr0KxZM67Mz88Pq1evxsGDB7UanF7Tv1OUnBYNrNDByxYlMobfz6h3j1BCCCGK1E6UMpms3CvgCIVCpeu+1mXyyTx62KEE8KpXue1cIvIlJTqOhhBCDJfaibJHjx6YPn06UlJSuLLk5GTu/pT1jb5N5pELaeYEDzsxcotKEHH5ia7DIYQQg6V2ovz555+Rl5cHT09PNG7cGN7e3vDy8kJeXh5++umnmohRL+njOsrXCfg8fNjJEwCw8fQjyGR6PFZMCCF6TO3lIW5ubrh8+TKioqJw+/ZtMMbg5+eHnj171kR8essQ0s6wQDf8EHUXCRn5OHLrKUKbO+s6JEIIMTgar6Ps1asXevXqpc1YDArTo7uHVMRMZISRHTywNuYB1sQ8QC8/J70dKiaEEH2l0cVAjx49iv79+3NDr/3798eRI0e0HZtB0Pe0M66zJ4yN+IhLysb5hOe6DocQQgyORuco+/TpAwsLC0yfPh3Tpk2DpaUlwsLC8PPPP9dEjHqJG3rV8x6ao6UJ3gkouxn2mpgHOo6GEEIMj9pDr0uWLMGPP/6IKVOmcGXTpk1D586d8d133ymU12X6dj9KVT7u0gjbzych+s4z3EzJhZ+rpa5DIoQQg6F2jzI3Nxd9+vRRKg8NDUVubq5WgjIk+t2fLONpb4awlmUXSF9LvUpCCFGL2oly4MCB2L17t1L5P//8gwEDBmglKEOi5yOvnInBjQEA+6+mICmz+jfdJoSQ+kLtoddmzZrhu+++Q3R0NIKCggAAZ8+exenTp/Hpp59i1apVXN26fO1XbtarQfQpyy5rF9zEATF3n2H9yQf4dnBLXYdECCEGQe1EGR4eDhsbG9y8eRM3b97kyq2trREeHs495/F4dTtR6joADfy3W2PE3H2Gvy4+wbQQH9iYCHQdEiGE6D21E2VCAt26CXj9fpS6jUMdHbxs0cbdGnFJ2fjtZAI+6+Wt65AIIUTvabSO8nWlpaWIj49HVlaWNuIxOAaUJ8t6+SE+AIDNsY+Q+UKi44gIIUT/qZ0oZ8yYwQ2xlpaWomvXrmjbti3c3NwQHR2t7fj0Fnf3EEPKlAC6NXFA64ZWKJLK8OupR7oOhxBC9J7aifLvv/9G69atAQD79u3Do0ePcPv2bcyYMQNffPGF1gPUV6/WURpWpuTxeJjRswkAYNv5x8iT6jggQgjRc2onyoyMDDg7l11c+8CBAxg2bBiaNGmC8ePH49q1a1oPUF8Z4mQeuW6+Zb3KQqkMx1KqPfpOCCF1mtp/JZ2cnHDz5k2Ulpbi0KFD3F1DCgoKIBDUv1mUhjb0CpT1Kqf3LDtXeSqNh8z8Yh1HRAgh+kvtRPnhhx/i3XffRYsWLcDj8bg7iJw7dw5NmzZVa18nTpzAgAED4OrqCh6Phz179qisHx0dDR6Pp/S4ffu2us2oPj2/H2Vluvs6omUDSxTLeAinc5WEEFIhtRPlggUL8Ntvv+Hjjz/G6dOnIRKJAAACgQBz5sxRa1/5+flo3bq12hdTv3PnDlJTU7mHj4+PWttrg6FO5pHj8XiY0r3saj1/nH9MM2AJIaQCGt2P8p133gEAFBUVcWVjxoxRez99+/ZF37591d7O0dER1tbWam+nTYZ0UfSKdG9iDzczhsf5pVh9/AG+HuCn65AIIUTvqJ0oS0tLsXjxYqxduxZPnz7F3bt30ahRI3z11Vfw9PTE+PHjayJOBW3atEFRURH8/Pzw5Zdfonv37hXWlUgkkEhe9ZbkF26XSqWQSjWf8im/hJ2sVFat/ehSSUkJ+rvLsOaWAFvOPsLojg3RwNpU12GpRf7eG+pnIFcX2kFt0A/UBvWPUxkeY+r1jb755hv8/vvv+Oabb/DRRx/h+vXraNSoEf766y/8+OOPiI2N1ShgHo+H3bt3Y/DgwRXWuXPnDk6cOIGAgABIJBJs2bIFa9euRXR0NLp27VruNgsWLMDChQuVyrdt2waxWKxRrACw5iYft3P4+MC7FO0cDLd7yRiw+iYf93L5aO8gw0hvma5DIoSQWlFQUIARI0YgJycHlpYV335Q7UTp7e2NdevWISQkBBYWFrhy5QoaNWqE27dvIygoSOMr9FQlUZZnwIAB4PF42Lt3b7mvl9ejdHNzQ0ZGhso3pjJjNl7AmYdZWDq4GYYGuGm8H12SSqWIioqCk18HvBd+CXwesH9yJ/g4mes6tCqTt6FXr14QCoW6DkdjdaEd1Ab9QG2outzcXNjb21eaKNUeek1OToa3t/I1QmUy3QxBduzYEVu3bq3wdZFIxE04ep1QKKzeB/ByFo+RQGCwP4xyAZ526NPcGYdupGHFsQdYPzpQ1yGprdqfp56oC+2gNugHakPV9l8Vas96bd68OU6ePKlUvnPnTrRp00bd3VVbXFwcXFxcav24HEOd9vqGWb2bgM8DIm8+xeWk+nndXkIIKY/aPcr58+dj1KhRSE5Ohkwmw65du3Dnzh1s3rwZ+/fvV2tfL168wP3797nnCQkJiI+Ph62tLdzd3TF37lwkJydj8+bNAIAVK1bA09MTzZs3R3FxMbZu3YqIiAhERESo24zqM/B1lG/ydrTAOwEN8dfFJ/i/g7ex/eOO4NWRfwIIIaQ61O5RDhgwADt27MCBAwfA4/Hw9ddf49atW9i3bx938YGqunjxItq0acP1RGfOnIk2bdrg66+/BgCkpqYiKSmJq19cXIxZs2ahVatW6NKlC06dOoV///0XQ4YMUbcZ1SY/sVuXcsn0nk1gbMTHuYTnOHY7XdfhEEKIXlCrR1lSUoLvvvsO48aNQ0xMTLUP3q1bN6iaS7Rp0yaF57Nnz8bs2bOrfVxtUHMOlEFoYG2KDzt7Yl3MQ3x34Ba6NnGAUEDXgiWE1G9q/RU0MjLC999/j9LS0pqKx+DUoQ4lAGBKd2/YmRnj4bN8bD2bqOtwCCFE59TuLvTs2bNe3XeyIq+GXutWqrQwEWJmaNltuFYcuYfsArpgOiGkflN7Mk/fvn0xd+5cXL9+HQEBATAzM1N4feDAgVoLTp+xOjaZ53XDA92w+Uwi7jzNw8qj9zB/QHNdh0QIITqjdqL873//CwBYvny50ms8Hq/eDMvWvTOUrxgJ+PiyfzOMCj+PLbGJ+KCjBxo7GM5FCAghRJvUHnqVyWQVPupLknxdHRt55XTxcUBIU0eUyBgW/3tL1+EQQojO0JRGDdXFWa9vmtevGYz4PBy9nY7jd2i5CCGkfqJEWU11bTLP6xo7mOPDzp4AgAV7b6BIWv9GDAghhBKlhupBhxJA2UUInCxFSMwswNqYB7oOhxBCah0lymqqu/3JMuYiI3zVv+yGzr9EP0BiZr6OIyKEkNpFiVJDdfESdhXp19IFb3nbo7hEhvl7b9SL87OEECJXpeUhubm5Vd5hde7xaEjkyYJX5/uUZedhFw5qjj4rTiD6zjMcvvEUfVo46zosQgipFVVKlNbW1lWetFJflojUtz5VYwdzfNy1EVYff4Bv9t3AWz72MBepvQyXEEIMTpX+0h0/fpz7/tGjR5gzZw7Gjh2LoKAgAEBsbCx+//13LFmypGai1GP1YehVbkp3H/wTn4InWYVYdvgOFgykK/YQQuq+KiXK4OBg7vtvvvkGy5cvx/vvv8+VDRw4EC1btsT69esxZswY7Ueph+ryJewqYmoswJIhLTEq/Dx+j32E/q1cEOhpq+uwCCGkRqk9mSc2NhaBgYFK5YGBgTh//rxWgjIErK7dubmKuvg44N3AhmAMmB1xldZWEkLqPLUTpZubG9auXatUvm7dOri5uWklKINQ305SvuaLMD84WIjw8Fk+fjp2T9fhEEJIjVJ7NsaPP/6IoUOH4vDhw+jYsSMA4OzZs3jw4AEiIiK0HqC+q8tX5qmIlViIRYNaYOLWS1gb8xBhLV3Q3NVK12ERQkiNULtHGRYWhnv37mHgwIF4/vw5MjMzMWjQINy9exdhYWE1EaNe4tZR6jQK3enTwhlhLZ1RKmOY/fdVFJfIdB0SIYTUCI3m9zds2BCLFy/WdiwGhZvMU18zJYAFA5vjzINM3EjJxU/H7uHTUF9dh0QIIVqn8UK4goICJCUlobi4WKG8VatW1Q7KELD6fJLyJUcLE3w3uCUmb7uM1cfvo5uvIwI8bHQdFiGEaJXaifLZs2f48MMPcfDgwXJfry8XHJCrxx1KAEC/Vi44cqsBdsclY+Zf8TgwrQvM6EIEhJA6RO1zlDNmzEBWVhbOnj0LU1NTHDp0CL///jt8fHywd+/emohRL70aeq3vqbJsCNbVygSJmQX49t+bug6HEEK0Su1EeezYMfz4449o164d+Hw+PDw88MEHH+B///tfvboyT3284EBFrEyFWPZua/B4wJ/nH+PIzae6DokQQrRG7USZn58PR0dHAICtrS2ePXsGAGjZsiUuX76s3ej0GHeGkjIlAKBTY3tMeMsLAPB5xFU8zS3ScUSEEKIdaidKX19f3LlzBwDg7++PdevWITk5GWvXroWLi4ta+zpx4gQGDBgAV1dX8Hg87Nmzp9JtYmJiEBAQABMTEzRq1Kjcix8Q3fg01BfNXCyRmV+M6dvjUCqjCU+EEMOn0TnK1NRUAMD8+fNx6NAhuLu7Y9WqVWovGcnPz0fr1q3x888/V6l+QkICwsLC0KVLF8TFxWHevHmYNm2abi50UI9us1VVJkIBfh7RBmJjAc4+fI6VR+mqPYQQw6f29MSRI0dy37dp0waPHj3C7du34e7uDnt7e7X21bdvX/Tt27fK9deuXQt3d3esWLECANCsWTNcvHgRy5Ytw9ChQ9U6dnXVpxs3q6OxgzkWv90SM3bE46dj99DByxadvdX7uSCEEH2i8Tz+4uJiJCQkoHHjxmjbtq02Y6pQbGwsQkNDFcp69+6N8PBwSKVSCIVCpW0kEgkkEgn3XH4TaqlUCqlUqnEsspc9ytKSkmrtR5fkcWs7/n4tHHH6fgPsvJSM6dvjsHdSEBwsRFo9hlxNtaG21YV2UBv0A7VB/eNURu1EWVBQgKlTp+L3338HANy9exeNGjXCtGnT4Orqijlz5qi7yypLS0uDk5OTQpmTkxNKSkqQkZFR7jnSJUuWYOHChUrlkZGREIvFGsfyIk8AgIdLly/jxQPDPhcXFRWl9X22FwCnTAVIfVGMMWuP479+MghqsPddE23QhbrQDmqDfqA2VK6goKBK9dROlHPnzsWVK1cQHR2NPn36cOU9e/bE/PnzazRRAsrrFpn8XGEFY6Bz587FzJkzuee5ublwc3NDaGgoLC0tNY7jp/ungcJ8BAYEoEsTR433o0tSqRRRUVHo1atXub3x6mrR4QWGrjuHe7nAdb4X5vbV/iXuaroNtaUutIPaoB+oDVUnH2GsjNqJcs+ePdixYwc6duyokJz8/Pzw4MEDdXenFmdnZ6SlpSmUpaenw8jICHZ2duVuIxKJIBIpD/sJhUKtfABCIyOD/WGU09Z78aZmDWywbFhrTPrjMjacSURrdxsM8m+g9eMANdeG2lYX2kFt0A/UhqrtvyrUnvX67Nkzbh3l6/Lz82v8KjVBQUFKXfHIyEgEBgbW+g8ETeapmrCWLpjUrTEAYPbfV3E9OUfHERFCiHrUTpTt2rXDv//+yz2XJ8dff/0VQUFBau3rxYsXiI+PR3x8PICy5R/x8fFISkoCUDZsOnr0aK7+xIkTkZiYiJkzZ+LWrVvYsGEDwsPDMWvWLHWbQWrRp6G+6ObrAEmJDP/ZcgnP84sr34gQQvSE2kOvS5YsQZ8+fXDz5k2UlJRg5cqVuHHjBmJjYxETE6PWvi5evIju3btzz+XnEseMGYNNmzYhNTWVS5oA4OXlhQMHDuCTTz7B6tWr4erqilWrVtX60hDg1SXsSOUEfB5WDm+DgatPITGzAJP+uITN4zrA2Ejt/9MIIaTWqZ0oO3XqhNOnT2PZsmVo3LgxIiMj0bZtW8TGxqJly5Zq7atbt27cZJzybNq0SaksODhYTy6VJ59EpOMwDISVWIhfRwdiyC9ncPbhc8zddQ3LhrWii8oTQvSeRusoW7ZsyS0Pqa9eXRSd/tBXVRMnC6we2RbjNl1AxOUn8LQTY2qIj67DIoQQlaqcKKs6jbY6Sy5I3RfcxAHfDGqOL3Zfxw9Rd+FuJ66xmbCEEKINVU6U1tbWKofJGGPg8Xj15sbNNOtVcyM7eCAxswDrTzzEZzuvwsXKFO29bHUdFiGElKvKifL48ePc94wxhIWF4bfffkODBvWzN0D3o6yeOX2aIimzAIdupGHC7xew4z9BaOZCoxGEEP1T5UQZHBys8FwgEKBjx45o1KiR1oMyBAyqrwhEVOPzefhxuD8yws/hYmIWRm84j78nBsHDzkzXoRFCiAKan68hWh5SfabGAoSPbYemzhZ4lifBqPDzSKcbPhNC9Awlymqi/mT1WJkKsXlce7jbipH0vACjN5xHToHh3vWAEFL3VCtR1udhR65DWX/fAq1xtDTB1vEd4Gghwu20PIzeeB65RZQsCSH6ocrnKIcMGaLwvKioCBMnToSZmeI5pV27dmknMn0nv2uJjsOoK9ztxNg8vj3eX38WVx5nY3T4eWwZ3x4WJoZ9UWdCiOGrco/SyspK4fHBBx/A1dVVqby+oFOU2tfU2RJbJ3SAtViI+MfZGL3hPPKoZ0kI0bEq9yg3btxYk3EYrPo8/FwTmrtaYev4Dhj52znEJWVjzIbz+H0c9SwJIbpDk3k0ROsoa06LBlb4Y0IHWJkKcTkpGx/8dg5ZdMcRQoiOUKLUEF2Zp2bJk6WNWIgrT3Lw7rpYpOXQ0hFCSO2jRKkhVXc9IdrRooEV/vpPEJwtTXAv/QXeWXsGjzLydR0WIaSeoURZTXT3kJrl42SBnROD4GknxpOsQryzNha3Uqt2gX5CCNEGSpQaoqHX2uNmK8ZfE4PQ1NkCGS8keHddLE7fz9B1WISQeoISpaZo5LVWOVqYYMd/gtDO0wZ5RSUYs+E8dlxI0nVYhJB6gBKlhihP1j4rUyG2jO+AQf6uKJExfB5xDcsi70FGHwYhpAZRoqwmGnqtXSZCAVYM98e0EB8AwLqTCfj9Hh9F0vpxH1RCSO2jRKkhxl3CjjJlbePxeJjZqwl+GNYaQgEP8Zl8DP/1PB4/L9B1aISQOogSpYZoMo/uDQ1oiI1jAmBuxHAzNQ8Dfj6FE3ef6TosQkgdQ4lSQ3RlHv3QwcsWs1qVolUDS2QXSDFm43msPn6f1rkSQrSGEiUxeDYiYNv4dnivnRsYA74/fAcfb7lEl70jhGgFJUoNsZeDrzT0qh9EQgGWDm2FJUNawljAR9TNp+i78iTOPszUdWiEEAOn80T5yy+/wMvLCyYmJggICMDJkycrrBsdHQ0ej6f0uH37di1GXObV0CtlSn3yfnt37JrUCY3szZCWW4T3fz2L5ZF3UFIq03VohBADpdNEuWPHDsyYMQNffPEF4uLi0KVLF/Tt2xdJSaoXkt+5cwepqancw8fHp5YiLgflSb3TooEV9k19C8MCGoIxYNWx+xi+/ixdJ5YQopEq34+yJixfvhzjx4/HhAkTAAArVqzA4cOHsWbNGixZsqTC7RwdHWFtbV2lY0gkEkgkEu55bm7ZdUKlUimkUs1vCizvUZaUlFRrP7okj9tQ4wcqboMxH1g82A+dGtngq723cCkxC31XnsCs0Cb4oL0b+Hz9+g+nLn8WhoTaoB9qqw1V3T+P6Wh6YHFxMcRiMXbu3Im3336bK58+fTri4+MRExOjtE10dDS6d+8OT09PFBUVwc/PD19++SW6d+9e4XEWLFiAhQsXKpVv27YNYrFY4/jnXhCgoISHua1L4Kz5bkgtyCwC/nzAx73csgGUxhYMI7xLYW+i48AIITpVUFCAESNGICcnB5aWlhXW01mPMiMjA6WlpXByclIod3JyQlpaWrnbuLi4YP369QgICIBEIsGWLVsQEhKC6OhodO3atdxt5s6di5kzZ3LPc3Nz4ebmhtDQUJVvTGW+ijsGlJSgc+dO8HWx1ng/uiSVShEVFYVevXpBKBTqOhyNVLUNI2UMf158gv8dvosHeaVYdt0Yn/T0wagObjAS6PxUfb36LPQZtUE/1FYb5COMldHp0CtQdpWV1zHGlMrkfH194evryz0PCgrC48ePsWzZsgoTpUgkgkgkUioXCoVa+QCERtrZjy5p673Qpaq0YWznRghp5ozZf19F7MNMLD54B7viUvDd2y0Q4GFbS5GqVl8+C31HbdAPNd2Gqu5bZ/9K29vbQyAQKPUe09PTlXqZqnTs2BH37t3TdnikjnKzFeOPCR2wdEhLWIuFuJ2Wh6FrYjEn4iqtuySElEtnidLY2BgBAQGIiopSKI+KikKnTp2qvJ+4uDi4uLhoO7xK0SXsDBefz8N77d1x7NNueDewIQBg+4XH6PFDNLaeTaSlJIQQBTodep05cyZGjRqFwMBABAUFYf369UhKSsLEiRMBlJ1fTE5OxubNmwGUzYr19PRE8+bNUVxcjK1btyIiIgIRERG1Hju3jpISpcGyNTPG/95pjXcD3fDlnuu4nZaHL/dcx6YzjzAvrCm6+zpWeBqAEFJ/6DRRDh8+HJmZmfjmm2+QmpqKFi1a4MCBA/Dw8AAApKamKqypLC4uxqxZs5CcnAxTU1M0b94c//77L8LCwmo9du7KPLSQ0uAFetpi39S3sO1cElYcuYv76S8wbtNFdGpshy/6NUNzVytdh0gI0SGdT+aZNGkSJk2aVO5rmzZtUng+e/ZszJ49uxaiIvWNUMDHmE6eGNymAX45fh8bTz/CmQeZ6P/TKQxo5YppIT7wdjTXdZiEEB3Q/bx4Q8WdpNRpFETLrEyFmBvWDEc/DcbA1q5gDNh7JQWhP8bgkx3xSKCr+xBS71Ci1BDlybrNzVaMVe+3wf6pb6FnMyfIGLA7LhkhP0Tj07+u4H76C12HSAipJZQoNSS/oBHN9ajbWjSwwm9jArFvylsIaeoIGQMiLj9Bz+UxmPD7RVx89FzXIRJCapjOz1ESYghaNrRC+Nh2uPI4Gz8fv4+om09x5FbZo627NT7u2hi9/Jwg0LNryBJCqo8SpYZeDb3SH8b6pLWbNX4dHYj76S/w28mH2HU5GZeTsjFx6yW424oxsoM7hgW6wdbMWNehEkK0hIZeNUTrKOs3b0dzLB3aCqc+745J3RrD0sQISc8LsOTgbXRcchQz/4rH5aQs6OieA4QQLaIepYZoMg8BAEdLE8zu0xRTenhjb3wKtpxNxI2UXOy6nIxdl5Ph52KJYYENMci/AfUyCTFQlCgJ0QKxsRHea++O4e3cEP84G1vOJmL/1VTcTM3Fwn038d2/t9C9qSOGtm2IHk0dYWxEgzmEGApKlBp6NeuV+pTkFR6PhzbuNmjjboOv+vnhn/hkRFxOxrXkHETdfIqom09hLRZiQCtX9GvlgnaetjQBiBA9R4mSkBpiY2aMsZ29MLazF+4+zUPEpSfYHZeM9DwJtpxNxJazibA3F6FPCyf0buaIUjqdSYheokSpIZrMQ9TRxMkCc8Oa4bPevjh1PwP7r6Yi8kYaMl5IsPVsEraeTYK5kQDnSm6gp58LOnvbQWxMv56E6AP6TSSkFhkJ+Ojm64huvo4ofrslzjzIwIFrqYi88RTZhVLsuJiMHReTYWzER8dGdujh64AeTZ3gbifWdeiE1FuUKDVEs15JdRkbvUqaC/pL8NOOw8iz9ET03Qw8ySrEibvPcOLuMyzYdxONHczQxccBQY3t0NHLDlZiw75zPSGGhBKlhmgyD9EmoYCPptYMYWHNsMjICPfTX+DY7XQcu52Oi4lZePAsHw+e5WPTmUfg8YDmrpbo1NgeQY3t0M7TFuYi+lUmpKbQb5eGqEdJagqPx4OPkwV8nCzwn+DGyCmU4sz9DMQ+zMSZB5m4n/4C15NzcT05F+tPPISAz0MzFwu0dbdBgIcN2rrboKGNKf0TR4iWUKIkRM9ZmQrRt6UL+rZ0AQCk5xaVJc37mTjzMAOPnxdyiXNzbCIAwMFChLbu1mjrboNWDa3h52oJK1MariVEE5QoNUSzXomuOFqaYJB/AwzybwAASMkuxOWkLFxKzMLlpGzcTMnBszwJDt94isM3nnLbuduK0dzVEi0aWMHP1RLNXS3haGGiq2YQYjAoUVYT5Umia67WpnC1NkX/Vq4AgCJpKa4l5+ByYhYuJ2XhenIukrMLkfS8AEnPC3Dwehq3raOFCL7OFvBxtICPkzl8HM3h42hBk4UIeQ0lSg0oXOiaupREz5gIBWjnaYt2nrZcWVZ+MW6m5uJGSg6uJ5d9fZiRj/Q8CdLzJDh5L0NhH44WopeJ0wKNHczgbmcGTzsxGlibwkhAl98j9QslSkLqARszY3T2tkdnb3uuLF9Sgttpebifnod7T1/gbvoL3H+ah5ScIi6Bnr6fqbAfIz4PDWxM4WFnBg9bMTzsxPCwM4ObrSkcxEagm6WQuogSpQYUOpS6C4OQajETGSHAo2ym7OvyiqR48Cwf957m4V76CyRk5CMxMx+JmQWQlMiQmFmAxMyCcvcpEgiw+uFpuFqL4WptigbWJnCxMn05PGwCJ0sTmAgFtdE8QrSGEqUGXv+nmUZeSV1jYSKEv5s1/N2sFcplMob0PAkeZeYjKbMAjzLzkfi8AImZ+UjOKkRWgRSSUh7upefjXnq+iv0bwcFCBAdzUdnXlw9HCxOu3N7CGDZiYwhpmJfoAUqUGnj9HCWP+pSknuDzeXC2MoGzlQk6NrJTej03vwjb9x2GT+sOePZCiuTsQqRkFyI1pwgp2YVIySlEkVSGvKIS5BWV4OGzipOpnIWJEWzExrAxM4aNWFj2vbjse2szY9jKvxcbw8LECJYmQpibGNEdWYhW6TxR/vLLL/j++++RmpqK5s2bY8WKFejSpUuF9WNiYjBz5kzcuHEDrq6umD17NiZOnFiLESuiHiUhZUyNBXAyBd7ytoNQqDxrljGGPEkJnuVJFB7p8u9fvCrLzJeAMXBJNel5+UO9FTEzFsDCRAgLEyOYmxhx31vKvxcZvXxNCLGx4OXDCMZ8hqeFQFpuESzFgNhYQL1aottEuWPHDsyYMQO//PILOnfujHXr1qFv3764efMm3N3dleonJCQgLCwMH330EbZu3YrTp09j0qRJcHBwwNChQ2stbpqvQIj6eDweLE2EsDQRorGDucq6pTKGnEIpsgqKkV1QjOf5it+XfS1GdkFZeVaBFHlFUkhKZACA/OJS5BeXIi1Xk0iNsDj+BPdMKOBBbGwEsbEApq8lVbGxACZGAoiEfO6ryIgPkZGg7Kuwgu/LqSs04kMo4EHIL/veiM+DUMCnnrGe0GmiXL58OcaPH48JEyYAAFasWIHDhw9jzZo1WLJkiVL9tWvXwt3dHStWrAAANGvWDBcvXsSyZctqN1HSZB5CapSAz4OtmTFszYzV2q64RIa8IinXE80rkiL35dfXy/KKSpAnkeKFpBSFxSUoKC4te0hKkFtQhGLGR6ms7BddWlqWtHMKpTXRVJX4vLI7zhgL+DAS8GDE58NYwIPRy+fycqGADyFfXgd4nsHHvznxMDYSQMDnlT14ZV/5fB6M+DzwXz5//XX+y69GAvnrgIDPh4CHKm8r4PPA4wF8Xlk9Hg8Kz/m8sn+a+C/LeG985fN4KC0twdNCICEjH8ZCYbl1+DzA0lRYK5PDdJYoi4uLcenSJcyZM0ehPDQ0FGfOnCl3m9jYWISGhiqU9e7dG+Hh4ZBKpeUO90gkEkgkEu55bm7Zv5hSqRRSqWY/+MUv/2sFgJKSEo33o2vyuA01fqButAGoG+3QhzbwAFiK+LAUGQNW6iVZoCz2qKgo9OzZHYxvhMLiUhRKXybRlwm1UFqKwpc9VkmJDMUlMkikZd+//iguUS6TlJSiWPpmWVl5iYwpLa+RsbK/N6//zakaPq5npavdfv1ihMXxp1XWWDW8Ffq2cNb4CFX9WdVZoszIyEBpaSmcnJwUyp2cnJCWllbuNmlpaeXWLykpQUZGBlxcXJS2WbJkCRYuXKhUHhkZCbFYs3v8lf3Mlr110cePw0TnZ3qrJyoqStchVFtdaANQN9pRF9pw5MiRSuuIXz6U8AAIXz7UJGNlf19kDChlQMnLr/LyUvbGQ8ZTLmNA6Wt1ZazsdFEpKxsNkzFAxniQvTweY0ApXnsN8jovy157rrQvvLa/l6/Jv7I3v1ZQJq8P+fbl1atgH3FxcWBJmp8MKyio2rlvnf+Jf/MOB4wxlXc9KK9+eeVyc+fOxcyZM7nnubm5cHNzQ2hoKCwtLTWKWSZjsPZJx6XLl9G3dwhMRSKN9qNr8v+ee/XqVW5v3BDUhTYAdaMd1Ab9QG2oOvkIY2V0lijt7e0hEAiUeo/p6elKvUY5Z2fncusbGRnBzk55ujoAiEQiiMpJZEKhsFofQFdfJ7x4wGAqEhnsD6Ncdd8LfVAX2gDUjXZQG/QDtaFq+68Knc17NjY2RkBAgNIwTVRUFDp16lTuNkFBQUr1IyMjERgYaPA/EIQQQvSTThcIzZw5E7/99hs2bNiAW7du4ZNPPkFSUhK3LnLu3LkYPXo0V3/ixIlITEzEzJkzcevWLWzYsAHh4eGYNWuWrppACCGkjtPpOcrhw4cjMzMT33zzDVJTU9GiRQscOHAAHh4eAIDU1FQkJSVx9b28vHDgwAF88sknWL16NVxdXbFq1apaXRpCCCGkftH5ZJ5JkyZh0qRJ5b62adMmpbLg4GBcvny5hqMihBBCytC1mQghhBAVKFESQgghKlCiJIQQQlTQ+TnK2ia/QEFVF5pWRCqVoqCgALm5uQa7NIXaoD/qQjuoDfqB2lB18jzA3rx24BvqXaLMy8sDALi5uek4EkIIIfogLy8PVlZWFb7OY5Wl0jpGJpMhJSUFFhYWKi+VVxn5pfAeP36s8aXwdI3aoD/qQjuoDfqB2lB1jDHk5eXB1dUVfH7FZyLrXY+Sz+ejYcOGWtufpaWlwf4wylEb9EddaAe1QT9QG6pGVU9SjibzEEIIISpQoiSEEEJUoESpIZFIhPnz55d7ZxJDQW3QH3WhHdQG/UBt0L56N5mHEEIIUQf1KAkhhBAVKFESQgghKlCiJIQQQlSgREkIIYSoQIlSA7/88gu8vLxgYmKCgIAAnDx5UtchcU6cOIEBAwbA1dUVPB4Pe/bsUXidMYYFCxbA1dUVpqam6NatG27cuKFQRyKRYOrUqbC3t4eZmRkGDhyIJ0+e1FoblixZgnbt2sHCwgKOjo4YPHgw7ty5Y1DtWLNmDVq1asUtmA4KCsLBgwcNJv7yLFmyBDweDzNmzODKDKEdCxYsAI/HU3g4OzsbVBsAIDk5GR988AHs7OwgFovh7++PS5cuGUw7PD09lT4HHo+HyZMn63/8jKhl+/btTCgUsl9//ZXdvHmTTZ8+nZmZmbHExERdh8YYY+zAgQPsiy++YBEREQwA2717t8LrS5cuZRYWFiwiIoJdu3aNDR8+nLm4uLDc3FyuzsSJE1mDBg1YVFQUu3z5MuvevTtr3bo1KykpqZU29O7dm23cuJFdv36dxcfHs379+jF3d3f24sULg2nH3r172b///svu3LnD7ty5w+bNm8eEQiG7fv26QcT/pvPnzzNPT0/WqlUrNn36dK7cENoxf/581rx5c5aamso90tPTDaoNz58/Zx4eHmzs2LHs3LlzLCEhgR05coTdv3/fYNqRnp6u8BlERUUxAOz48eN6Hz8lSjW1b9+eTZw4UaGsadOmbM6cOTqKqGJvJkqZTMacnZ3Z0qVLubKioiJmZWXF1q5dyxhjLDs7mwmFQrZ9+3auTnJyMuPz+ezQoUO1Fvvr0tPTGQAWExPDGDPcdtjY2LDffvvN4OLPy8tjPj4+LCoqigUHB3OJ0lDaMX/+fNa6detyXzOUNnz++efsrbfeqvB1Q2nH66ZPn84aN27MZDKZ3sdPQ69qKC4uxqVLlxAaGqpQHhoaijNnzugoqqpLSEhAWlqaQvwikQjBwcFc/JcuXYJUKlWo4+rqihYtWuisjTk5OQAAW1tbAIbXjtLSUmzfvh35+fkICgoyuPgnT56Mfv36oWfPngrlhtSOe/fuwdXVFV5eXnjvvffw8OFDg2rD3r17ERgYiGHDhsHR0RFt2rTBr7/+yr1uKO2QKy4uxtatWzFu3DjweDy9j58SpRoyMjJQWloKJycnhXInJyekpaXpKKqqk8eoKv60tDQYGxvDxsamwjq1iTGGmTNn4q233kKLFi24GOUxVRSjPrTj2rVrMDc3h0gkwsSJE7F79274+fkZTPwAsH37dly+fBlLlixRes1Q2tGhQwds3rwZhw8fxq+//oq0tDR06tQJmZmZBtOGhw8fYs2aNfDx8cHhw4cxceJETJs2DZs3b+ZilMdUUYz60A65PXv2IDs7G2PHjuVik8dSUWy6jL/e3T1EG968PRdjrFq37KptmsSvqzZOmTIFV69exalTp5Re0/d2+Pr6Ij4+HtnZ2YiIiMCYMWMQExPDva7v8T9+/BjTp09HZGQkTExMKqyn7+3o27cv933Lli0RFBSExo0b4/fff0fHjh0B6H8bZDIZAgMDsXjxYgBAmzZtcOPGDaxZswajR4/m6ul7O+TCw8PRt29fuLq6KpTra/zUo1SDvb09BAKB0n8v6enpSv8J6SP5TD9V8Ts7O6O4uBhZWVkV1qktU6dOxd69e3H8+HGFW6MZSjuMjY3h7e2NwMBALFmyBK1bt8bKlSsNJv5Lly4hPT0dAQEBMDIygpGREWJiYrBq1SoYGRlxceh7O95kZmaGli1b4t69ewbzWbi4uMDPz0+hrFmzZkhKSuJiBPS/HQCQmJiII0eOYMKECVyZvsdPiVINxsbGCAgIQFRUlEJ5VFQUOnXqpKOoqs7LywvOzs4K8RcXFyMmJoaLPyAgAEKhUKFOamoqrl+/XmttZIxhypQp2LVrF44dOwYvLy+DbMebGGOQSCQGE39ISAiuXbuG+Ph47hEYGIiRI0ciPj4ejRo1Moh2vEkikeDWrVtwcXExmM+ic+fOSkuk7t69Cw8PDwCG9TuxceNGODo6ol+/flyZ3sdfo1OF6iD58pDw8HB28+ZNNmPGDGZmZsYePXqk69AYY2UzFOPi4lhcXBwDwJYvX87i4uK45StLly5lVlZWbNeuXezatWvs/fffL3cKdsOGDdmRI0fY5cuXWY8ePWp1Kvx///tfZmVlxaKjoxWmkxcUFHB19L0dc+fOZSdOnGAJCQns6tWrbN68eYzP57PIyEiDiL8ir896Zcww2vHpp5+y6Oho9vDhQ3b27FnWv39/ZmFhwf3OGkIbzp8/z4yMjNh3333H7t27x/744w8mFovZ1q1buTqG0I7S0lLm7u7OPv/8c6XX9Dl+SpQaWL16NfPw8GDGxsasbdu23LIFfXD8+HEGQOkxZswYxljZNPL58+czZ2dnJhKJWNeuXdm1a9cU9lFYWMimTJnCbG1tmampKevfvz9LSkqqtTaUFz8AtnHjRq6Ovrdj3Lhx3M+Ig4MDCwkJ4ZKkIcRfkTcTpSG0Q74eTygUMldXVzZkyBB248YNg2oDY4zt27ePtWjRgolEIta0aVO2fv16hdcNoR2HDx9mANidO3eUXtPn+Ok2W4QQQogKdI6SEEIIUYESJSGEEKICJUpCCCFEBUqUhBBCiAqUKAkhhBAVKFESQgghKlCiJIQQQlSgREkIIYSoQImSEB1ZsGAB/P39dXb8r776Ch9//LHKOt26dcOMGTNqJyAA7dq1w65du2rteIRUBSVKQmoAj8dT+Rg7dixmzZqFo0eP6iS+p0+fYuXKlZg3b55Ojl+Rr776CnPmzIFMJtN1KIRwKFESUgNSU1O5x4oVK2BpaalQtnLlSpibm8POzk4n8YWHhyMoKAienp46OX5F+vXrh5ycHBw+fFjXoRDCoURJSA1wdnbmHlZWVuDxeEplbw69jh07FoMHD8bixYvh5OQEa2trLFy4ECUlJfjss89ga2uLhg0bYsOGDQrHSk5OxvDhw2FjYwM7OzsMGjQIjx49Uhnf9u3bMXDgQIWy/Px8jB49Gubm5nBxccEPP/ygtN3WrVsRGBgICwsLODs7Y8SIEUhPTwdQdhsxb29vLFu2TGGb69evg8/n48GDBwDKhpzd3d0hEong6uqKadOmcXUFAgHCwsLw559/VvoeE1JbKFESokeOHTuGlJQUnDhxAsuXL8eCBQvQv39/2NjY4Ny5c5g4cSImTpyIx48fAwAKCgrQvXt3mJub48SJEzh16hTMzc3Rp08fFBcXl3uMrKwsXL9+HYGBgQrln332GY4fP47du3cjMjIS0dHRuHTpkkKd4uJiLFq0CFeuXMGePXuQkJCAsWPHAigbbh43bhw2btyosM2GDRvQpUsXNG7cGH///Td+/PFHrFu3Dvfu3cOePXvQsmVLhfrt27fHyZMnq/M2EqJdNX5/EkLquY0bNzIrKyul8vnz57PWrVtzz8eMGcM8PDxYaWkpV+br68u6dOnCPS8pKWFmZmbszz//ZIwxFh4eznx9fZlMJuPqSCQSZmpqyg4fPlxuPPJ7lb5+e6K8vDxmbGzMtm/fzpVlZmYyU1NThdtqven8+fMMAMvLy2OMMZaSksIEAgE7d+4cY4yx4uJi5uDgwDZt2sQYY+yHH35gTZo0YcXFxRXu859//mF8Pl/hfSBEl6hHSYgead68Ofj8V7+WTk5OCj0ugUAAOzs7brjz0qVLuH//PiwsLGBubg5zc3PY2tqiqKiIG+p8U2FhIQDAxMSEK3vw4AGKi4sRFBTEldna2sLX11dh27i4OAwaNAgeHh6wsLBAt27dAABJSUkAABcXF/Tr148bHt6/fz+KioowbNgwAMCwYcNQWFiIRo0a4aOPPsLu3btRUlKicAxTU1PIZDJIJJKqv3GE1CBKlIToEaFQqPCcx+OVWyafFSqTyRAQEID4+HiFx927dzFixIhyj2Fvbw+gbAhWjlXhtrT5+fkIDQ2Fubk5tm7digsXLmD37t0AoDDMO2HCBGzfvh2FhYXYuHEjhg8fDrFYDABwc3PDnTt3sHr1apiammLSpEno2rUrpFIpt/3z588hFothampaaUyE1AZKlIQYsLZt2+LevXtwdHSEt7e3wsPKyqrcbRo3bgxLS0vcvHmTK/P29oZQKMTZs2e5sqysLNy9e5d7fvv2bWRkZGDp0qXo0qULmjZtyvVsXxcWFgYzMzOsWbMGBw8exLhx4xReNzU1xcCBA7Fq1SpER0cjNjYW165d416/fv062rZtq/F7Qoi2UaIkxICNHDkS9vb2GDRoEE6ePImEhATExMRg+vTpePLkSbnb8Pl89OzZE6dOneLKzM3NMX78eHz22Wc4evQorl+/jrFjxyoMA7u7u8PY2Bg//fQTHj58iL1792LRokVK+xcIBBg7dizmzp0Lb29vheHcTZs2ITw8HNevX8fDhw+xZcsWmJqawsPDg6tz8uRJhIaGauPtIUQrKFESYsDEYjFOnDgBd3d3DBkyBM2aNcO4ceNQWFgIS0vLCrf7+OOPsX37doWF/d9//z26du2KgQMHomfPnnjrrbcQEBDAve7g4IBNmzZh586d8PPzw9KlS5WWgsiNHz8excXFSr1Ja2tr/Prrr+jcuTNatWqFo0ePYt++fdx60uTkZJw5cwYffvhhdd4WQrSKx6pycoIQUqcwxtCxY0fMmDED77//vtb3f/r0aXTr1g1PnjyBk5NTlbf77LPPkJOTg/Xr12s9JkI0RT1KQuohHo+H9evXK804rS6JRIL79+/jq6++wrvvvqtWkgQAR0fHcodzCdEl6lESQrRm06ZNGD9+PPz9/bF37140aNBA1yERUm2UKAkhhBAVaOiVEEIIUYESJSGEEKICJUpCCCFEBUqUhBBCiAqUKAkhhBAVKFESQgghKlCiJIQQQlSgREkIIYSo8P+2H7cZFjssnwAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Atrue = 400 # true value of A\n", "ntrue = 1.1 # true value of n\n", "atrue = 100 # true vale of a\n", "dtrue = 20 # base level of heads\n", "ptrue = np.array([Atrue, ntrue, atrue, dtrue]) # array with true parameter values\n", "pnames = [\"A\", \"n\", \"a\", \"d\"] # names of parameters\n", "hblock = gamma_block(Atrue, ntrue, atrue)\n", "tmax = gamma_tmax(Atrue, ntrue, atrue)\n", "plt.plot(hblock)\n", "plt.xlabel(\"Time (days)\")\n", "plt.ylabel(\"Head response\")\n", "plt.title(f\"Gamma block response with tmax={tmax:.0f} d\")\n", "plt.grid()" ] }, { "cell_type": "markdown", "id": "30e1dfd2-801d-431f-931b-09f5c8fd1a9c", "metadata": {}, "source": [ "### Create synthetic observations\n", "Rainfall is used as input series to create a synthetic head series.\n", "The generated head series is purposely not generated with convolution so that it is clear how the head is computed. The computed head at day 1 is the head at the end of day 1 due to rainfall during day 1." ] }, { "cell_type": "code", "execution_count": 5, "id": "b30dc11f-9760-4f19-801e-a0d7d2440a80", "metadata": {}, "outputs": [], "source": [ "def generate_heads(Atrue, ntrue, atrue, dtrue, rain, yearstart, yearend):\n", " \"\"\"yearstart and yearend are strings\"\"\"\n", " step = gamma_block(Atrue, ntrue, atrue)[\n", " 1:\n", " ] # start head computation at end of first day\n", " lenstep = len(step)\n", " h = dtrue * np.ones(len(rain) + lenstep)\n", " for i in range(len(rain)):\n", " h[i : i + lenstep] += rain.iloc[i] * step\n", " head = pd.Series(index=rain.index, data=h[: len(rain)]).loc[yearstart:yearend]\n", " return head" ] }, { "cell_type": "markdown", "id": "5095827c-bd17-47db-9ebc-feea7cd32fbf", "metadata": {}, "source": [ "Synthetic heads are generated for the period 1990 - 2000. Computations start in 1980 as a warm-up period. The series with daily rainfall starts in 1980." ] }, { "cell_type": "code", "execution_count": 7, "id": "32f53cc2-f750-45ab-81c6-235bc22e5b39", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rain = (\n", " pd.read_csv(\"../examples/data/rain_260.csv\", index_col=0, parse_dates=[0]).squeeze()\n", " / 1000\n", ")\n", "head = generate_heads(Atrue, ntrue, atrue, dtrue, rain, \"1990\", \"1999\")\n", "#\n", "plt.figure(figsize=(10, 3))\n", "plt.plot(head, \"k.\", label=\"head\", markersize=1)\n", "plt.legend(loc=0)\n", "plt.ylabel(\"head (m)\")\n", "plt.xlabel(\"time (years)\")\n", "plt.grid()" ] }, { "cell_type": "markdown", "id": "8eb98054-48b5-412c-947c-3bd2c64779d2", "metadata": {}, "source": [ "### Synthetic heads that contain no errors.\n", "In this first test, it is demonstrated that Pastas finds the correct parameters back" ] }, { "cell_type": "code", "execution_count": 8, "id": "ebb82d71-32dc-4eb5-9a6b-c94de3e3ad53", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fit report None Fit Statistics\n", "==================================================\n", "nfev 10 EVP 100.00\n", "nobs 3652 R2 1.00\n", "noise False RMSE 0.00\n", "tmin 1990-01-01 00:00:00 AICc -228430.97\n", "tmax 1999-12-31 00:00:00 BIC -228406.17\n", "freq D Obj 0.00\n", "warmup 3650 days 00:00:00 ___ \n", "solver LeastSquares Interp. No\n", "\n", "Parameters (4 optimized)\n", "==================================================\n", " optimal initial vary\n", "rain_A 400.0 217.313623 True\n", "rain_n 1.1 1.000000 True\n", "rain_a 100.0 10.000000 True\n", "constant_d 20.0 20.907717 True\n" ] } ], "source": [ "ml = ps.Model(oseries=head)\n", "sm = ps.StressModel(rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", "ml.add_stressmodel(sm)\n", "ml.solve()" ] }, { "cell_type": "markdown", "id": "b4c6a37e-3a17-4e50-bbb5-df69c94f4a05", "metadata": {}, "source": [ "### Synthetic heads that contain uncorrelated errors" ] }, { "cell_type": "markdown", "id": "b38efd84-2568-41c3-9390-2a3f19f55ff9", "metadata": {}, "source": [ "Uncorrelated errors with $\\sigma=0.1$ are added to the synthetic heads." ] }, { "cell_type": "code", "execution_count": 9, "id": "be173697-346c-4a92-a0bb-a0e7c5e0acb9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head_error = head + generate_correlated_data(len(head), sigx=0.1, rho=0, seed=1)\n", "ml = ps.Model(oseries=head_error)\n", "sm = ps.StressModel(rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", "ml.add_stressmodel(sm)\n", "ml.solve(report=False)\n", "ml.plots.results(figsize=(12, 4));" ] }, { "cell_type": "code", "execution_count": 10, "id": "024ea1f4-f617-4ae8-b486-78ee132d756c", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head_error = head + generate_correlated_data(len(head), sigx=0.1, rho=0.9, seed=1)\n", "ml = ps.Model(oseries=head_error)\n", "sm = ps.StressModel(rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", "ml.add_stressmodel(sm)\n", "ml.solve(report=False)\n", "ml.plots.results(figsize=(12, 4));" ] }, { "cell_type": "markdown", "id": "14475815-a774-44f9-8952-7459ec89e4c6", "metadata": {}, "source": [ "## Perform experiments to test whether the uncertainty estimate of the parameters is reasonable" ] }, { "cell_type": "code", "execution_count": 11, "id": "fd89ad72-a894-4012-bc55-f37d2377ea21", "metadata": {}, "outputs": [], "source": [ "def model1(headseries, rain=rain, returnmodel=False):\n", " \"\"\"\n", " Function that creates pastas model for given headseries, rain, a linear\n", " recharge model and a Gamma response function\n", " Returns:\n", " Optimal parameters, their estimated standard error, r-squared\n", " \"\"\"\n", " ml = ps.Model(oseries=headseries)\n", " sm = ps.StressModel(rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", " ml.add_stressmodel(sm)\n", " ml.solve(report=False)\n", " if returnmodel:\n", " return ml\n", " return (\n", " ml.parameters[\"optimal\"].values,\n", " ml.parameters[\"stderr\"].values,\n", " ml.stats.rsq(),\n", " ml.stats.rmse(),\n", " )" ] }, { "cell_type": "code", "execution_count": 12, "id": "f28b1b8c-ee4e-446f-bac7-594ef270dc5c", "metadata": {}, "outputs": [], "source": [ "def model2(headseries, rain=rain, returnmodel=False):\n", " \"\"\"\n", " Function that creates pastas model for given headseries, rain, a linear\n", " recharge model, a Gamma response function, and an AR1 noise model\n", " Returns:\n", " Optimal parameters, their estimated standard error, r-squared\n", " \"\"\"\n", " ml = ps.Model(oseries=headseries)\n", " sm = ps.StressModel(rain, rfunc=ps.Gamma(cutoff=0.999), name=\"rain\")\n", " ml.add_stressmodel(sm)\n", " nm = ps.ArNoiseModel()\n", " ml.add_noisemodel(nm)\n", " ml.solve(report=False)\n", " if returnmodel:\n", " return ml\n", " return (\n", " ml.parameters[\"optimal\"].values,\n", " ml.parameters[\"stderr\"].values,\n", " ml.stats.rsq(),\n", " ml.stats.rmse(),\n", " )" ] }, { "cell_type": "markdown", "id": "35aa618c-e9b2-4911-9e52-ec2a6b1df94e", "metadata": {}, "source": [ "A numerical experiment is conducted to test whether the Pastas estimates the uncertainty of the parameters correctly. In the experiment, the synthetic head consists of the true head plus an error. Different errors are generated every time. A pastas model is created of the synthetic head series with the introduced error and it is determined whether the true parameters are within the 95% confidence interval of the estimated parameters. The experiment consists of 1000 runs of heads with different random errors. " ] }, { "cell_type": "code", "execution_count": 13, "id": "1038c83e-ff9a-427d-abb0-6fb6ae751137", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "def experiment(nexp, nparam, model, ptrue, pnames, sigh=0.1, rho=0):\n", " \"\"\"\n", " nexp: number of times to run the experiment\n", " nparam: number of parameters to estimate\n", " model: model function to call (as defined above)\n", " ptrue: array with true values of the parameters\n", " sigh: standard deviation of the errors in the synthetic head\n", " rho: correlation between the errors in the synthetic head\n", " Returns:\n", " p: DataFrame with estiamted parameters for each nexp runs\n", " sig: DataFrame with estimated standard error for each nexp runs\n", " coverage: DataFrame with 1 row and nparam columns with the coverage\n", " of each parameter\n", " \"\"\"\n", " head = generate_heads(Atrue, ntrue, atrue, dtrue, rain, \"1990\", \"1999\")\n", " head_errors = [\n", " head + generate_correlated_data(len(head), sigx=sigh, rho=rho, seed=i)\n", " for i in range(nexp)\n", " ]\n", "\n", " p = np.empty((nexp, nparam))\n", " sig = np.empty((nexp, nparam))\n", " rsq = np.empty(nexp)\n", " rmse = np.empty(nexp)\n", " for i in range(nexp):\n", " if i % 100 == 0:\n", " print(\".\", end=\"\")\n", " p[i], sig[i], rsq[i], rmse[i] = model(head_errors[i])\n", " print(\"\\n\")\n", "\n", " coverage = (np.abs(p - ptrue) < 1.96 * sig).sum(0)\n", " p_df = pd.DataFrame(p, columns=pnames)\n", " sig_df = pd.DataFrame(sig, columns=pnames)\n", " cov_df = pd.DataFrame(\n", " coverage[np.newaxis, :] * 100 / nexp,\n", " columns=pnames,\n", " index=[\"coverage percentage\"],\n", " )\n", " return p_df, sig_df, cov_df, rsq, rmse" ] }, { "cell_type": "markdown", "id": "08ac7d5e-409b-4018-baa0-5793f8a567b0", "metadata": {}, "source": [ "### Experiment 0. Uncorrelated errors, no noise model\n", "The coverage is pretty good and close to 95% for all parameters. This shows the standard error estimation in `pastas` is correct when the residuals are uncorrelated." ] }, { "cell_type": "code", "execution_count": 14, "id": "577744e3-f278-4e94-a9d6-b32b6b1ef51c", "metadata": {}, "outputs": [], "source": [ "nexp = 1000 # 1000 runs in the experiments in this notebook" ] }, { "cell_type": "code", "execution_count": 15, "id": "5135aebe-00b4-45ec-8ddb-a8b32e8beed0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "..........\n", "\n" ] }, { "data": { "text/html": [ "
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coverage percentage95.794.294.095.2
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" ], "text/plain": [ " A n a d\n", "coverage percentage 95.7 94.2 94.0 95.2" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# no correlation between errors, no noise model\n", "sigh = 0.1\n", "rho = 0\n", "p, sig, coverage, rsq, rmse = experiment(\n", " nexp=nexp, nparam=4, model=model1, ptrue=ptrue, pnames=pnames, sigh=sigh, rho=0\n", ")\n", "coverage # number of estimates in 95% uncertainty interval (out of 1000)" ] }, { "cell_type": "markdown", "id": "3dceee4f-bc83-4c2c-b96d-c9e6b9d73b38", "metadata": {}, "source": [ "### Experiment 1. Correlated errors with $\\rho=0.9$, no noise model\n", "The first set of experiments are for the case that the standard deviation of the error is $\\sigma=0.1$ and the correlation between errors from one day to the next is $\\phi=0.9$ ($\\alpha\\approx 9.5$ d). \n", "\n", "The coverage is not very good, as expected. The coverage is low, because the standard error is estimated too low when there is large autocorrelation in the residuals. " ] }, { "cell_type": "code", "execution_count": 16, "id": "091720e0-39f0-4f48-9f13-b97ef408b912", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "..........\n", "\n" ] }, { "data": { "text/html": [ "
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Anad
coverage percentage33.542.738.931.3
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" ], "text/plain": [ " A n a d\n", "coverage percentage 33.5 42.7 38.9 31.3" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# correlation between errors, no noise model\n", "sigh = 0.1\n", "rho = 0.9\n", "p1, sig1, coverage1, rsq1, rmse1 = experiment(\n", " nexp=nexp, nparam=4, model=model1, ptrue=ptrue, pnames=pnames, sigh=sigh, rho=rho\n", ")\n", "coverage1" ] }, { "cell_type": "markdown", "id": "f1d1d225-537e-4bf2-a64d-a4e8f8db9118", "metadata": {}, "source": [ "In fact, the standard error estimate is approximately 4 times too small for this case. As shown below, when the standard error is 4 times larger, the coverage is reasonable. " ] }, { "cell_type": "code", "execution_count": 17, "id": "ad6a3fcb-2244-4d03-b5f2-b5535656faad", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Anad
coverage percentage93.596.994.992.7
\n", "
" ], "text/plain": [ " A n a d\n", "coverage percentage 93.5 96.9 94.9 92.7" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coverage1a = (np.abs(p1.values - ptrue) < 1.96 * (4 * sig1.values)).sum(0)\n", "pd.DataFrame(\n", " coverage1a[np.newaxis, :] * 100 / nexp,\n", " columns=pnames,\n", " index=[\"coverage percentage\"],\n", ")" ] }, { "cell_type": "markdown", "id": "ff7153f0-6105-48dd-8859-e995e9916e81", "metadata": {}, "source": [ "### Experiment 2. Correlated errors with $\\rho=0.9$, with AR1 noise model\n", "The coverage is much better now as the AR1 noise model is doing a good job. Only the coverage of the $\\alpha$ parameter of the noise model is on the low side. " ] }, { "cell_type": "code", "execution_count": 18, "id": "6959f1f2-1e57-4ba5-91cb-aa3a7a52727d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "..........\n", "\n" ] }, { "data": { "text/html": [ "
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Anadalpha
coverage percentage95.094.794.894.491.8
\n", "
" ], "text/plain": [ " A n a d alpha\n", "coverage percentage 95.0 94.7 94.8 94.4 91.8" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# correlation between errors, AR1 noise model\n", "sigh = 0.1\n", "rho = 0.9\n", "alphatrue = -1 / np.log(rho)\n", "ptrue2 = np.hstack((ptrue, alphatrue))\n", "pnames2 = pnames + [\"alpha\"]\n", "p2, sig2, coverage2, rsq2, rmse2 = experiment(\n", " nexp=nexp, nparam=5, model=model2, ptrue=ptrue2, pnames=pnames2, sigh=sigh, rho=rho\n", ")\n", "coverage2" ] }, { "cell_type": "markdown", "id": "d37ce159-0ba7-4ce4-9e34-3873272462b4", "metadata": {}, "source": [ "## Parameters are estimated correctly when no noise model is added\n", "In Experiments 1 and 2, the parameters were estimated for synthetic head data with correlated errors in two ways. First, a `pastas` model was used without a noise model and second a `pastas` model as used with a noise model. It was shown that the `pastas` model without a noise model did a poor job in estimating the standard error of the parameters, as expected. But this does not mean that the estimated parameters themselves were biased. On the contrary, the following two graphs demonstrate that the estimated parameters with or without a noise model are essentially similar. The first graph shows a histogram of parameter $A$ with and without the noise model. Note that the two histograms pretty much overlap. The second graph plots the estimated values of $A$ with a noise model vs. the estimated values of $A$ without a noise model. These values plot almost on a straight 45$^\\circ$ line, which indicates that the values of $A$ only differ slightly with or without a noise model." ] }, { "cell_type": "code", "execution_count": 19, "id": "fab8f933-05e1-4647-8de9-c72fbe824738", "metadata": {}, "outputs": [ { "data": { "image/png": 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+/PmwtLSEh4fHC/WiVKZ58+Y4fvw45s2bh27duqFJkyaYMmUKFi9eLJVZt24d8vPzMWzYMFhZWeH999/Hw4cPFfaza9curFy5Eu+//z7u3LkDOzs7eHt7Y+jQobUaLwDIhB49HjA3Nxc2NjZ4+PAhrK2ttR1Ow6XiLUERZ65pKBAVYih5U+myNwMuqrZz3vKkUfXpe12fYq23amviBn5vSQW1+d1+8uQJMjMz4e7uDjMzs1qKUHccOnQIixcvxtWrV7UdCtVAlb9F9lAQoR6O4yAiIqqHGjVqhDVr1mg7DKplTCiIiKh+4jTSRPWOv7+/tkMgDeCgbCIiIiIiUht7KIhUpOqYj+CBGgqEiIiISAewh4KIiIiIiNSmsR6Kbdu2Yd26dcjOzkbnzp0RERFR7YM14uPjERISgitXrsDZ2Rnz58/H9OnTpfU7d+7E3r17cfnyZQCAp6cnVq1ahV69emmqCqQmXZi1iYiIiIjqhkZ6KA4ePIjg4GAsWrQIaWlp8PX1RWBgILKysiotn5mZiaFDh8LX1xdpaWn48MMPMXv2bERHR0tl4uLiMHbsWMTGxiI5ORmurq7w9/fHnTt3NFEFIiIiIiJSgkYSio0bN2LKlCl455130LFjR0RERMDFxQWRkZGVlt++fTtcXV0RERGBjh074p133sHbb7+N9evXS2W++OILzJgxA927d0eHDh2wc+dOlJWV4cyZM1XGUVhYiNzcXIUXERERERHVnlpPKIqKipCSklJhWjB/f38kJSVVuk1ycnKF8gEBATh//jyKi4sr3ebRo0coLi5GkyZNqowlPDwcNjY20svFxUXF2hARERERUXVqfQzFvXv3UFpaCgcHB4XlDg4OkMvllW4jl8srLV9SUoJ79+7BycmpwjYLFy5E8+bNMXjw4CpjCQ0NRUhIiPQ+NzeXSQURERHVT3X57JUG8LT4mzdvwt3dHWlpaejevbu2w3khcXFxGDhwIO7fv4/GjRsrtU3Lli0RHByM4OBgjcYGaHBQtkwmU3gvhKiwrKbylS0HgLVr12L//v2Ii4ur9lHgpqamMDU1VSVsIiIiIqoD5eNj7969W+1vRHW5uLggOzsb9vb2tb5vUlTrCYW9vT0MDQ0r9Ebk5ORU6IUo5+joWGl5IyMj2NnZKSxfv349Vq1ahdOnT6Nr1661GzwRERER1Yljx45h2LBhGkkmAMDQ0BCOjo4a2TcpqvUxFCYmJvD09ERMTIzC8piYGPj4+FS6jbe3d4Xyp06dgpeXF4yNjaVl69atw4oVK3DixAl4eXnVduhEREREpKJvvvkGjRs3RllZGQAgPT0dMpkM8+bNk8pMmzYNY8eOVdiuPKGozO7du9G4cWOcPHkSHTt2RKNGjfDKK68gOztbKlNWVobly5ejRYsWMDU1Rffu3XHixAlp/c2bNyGTyZCeng4AuH//PsaPH4+mTZvC3Nwcbdu2xa5du6Tyd+7cwejRo2Fraws7OzsMHz4cN2/erLLecXFxkMlkOHnyJHr06AFzc3O8/PLLyMnJwXfffYeOHTvC2toaY8eOxaNHj6TtCgsLMXv2bDRr1gxmZmbo168fzp07p7Dv48ePo127djA3N8fAgQMrjSMpKQn9+/eHubk5XFxcMHv2bBQUFFQZryZpZJankJAQfPbZZ/j888+RkZGBuXPnIisrS3quRGhoKCZOnCiVnz59Om7duoWQkBBkZGTg888/R1RUFD744AOpzNq1a7F48WJ8/vnnaNmyJeRyOeRyOfLz8zVRBSIiIiJSQv/+/ZGXl4e0tDQAT58tZm9vj/j4eKlMXFwc/Pz8pPdXrlyBXC7HoEGDqtzvo0ePsH79evzrX/9CQkICsrKyFH4bbtq0CRs2bMD69etx8eJFBAQEYNiwYbh+/Xql+1uyZAmuXr2K7777DhkZGYiMjJRuh3r06BEGDhyIRo0aISEhAYmJiVISU1RUVG39w8LCsGXLFiQlJeH27dsYNWoUIiIi8OWXX+Lbb79FTEwMPvnkE6n8/PnzER0djT179iA1NRVt2rRBQEAA/vrrLwDA7du3ERQUhKFDhyI9PR3vvPMOFi5cqHDMS5cuISAgAEFBQbh48SIOHjyIxMREzJw5s9pYNUUjCcXo0aMRERGB5cuXo3v37khISMDx48fh5uYGAMjOzlZ4JoW7uzuOHz+OuLg4dO/eHStWrMDmzZsxcuRIqcy2bdtQVFSEN998E05OTtLr2alliYiIiKhu2djYoHv37oiLiwPwNHmYO3cuLly4gLy8PMjlcly7dg0DBgyQtjl69CgCAgKqHQtbXFyM7du3w8vLCz179sTMmTMVHhewfv16LFiwAGPGjEH79u2xZs0adO/eHREREZXuLysrCz169ICXlxdatmyJwYMH4/XXXwcAHDhwAAYGBvjss8/g4eGBjh07YteuXcjKypLqVZWVK1eib9++6NGjB6ZMmYL4+HhERkaiR48e8PX1xZtvvonY2FgAQEFBASIjI7Fu3ToEBgaiU6dO2LlzJ8zNzREVFQUAiIyMRKtWrfDxxx+jffv2GD9+PCZPnqxwzHXr1mHcuHEIDg5G27Zt4ePjg82bN2Pv3r148uRJtfFqgsYGZc+YMQMzZsyodN3u3bsrLPPz80NqamqV+6uuy4mIiIiItGfAgAGIi4tDSEgIvv/+e6xcuRLR0dFITEzEgwcP4ODggA4dOkjljx49WuXvxHIWFhZo3bq19N7JyQk5OTkAns7ceffuXfTt21dhm759++LChQuV7u/dd9/FyJEjkZqaCn9/f4wYMUK6HT8lJQW//vorrKysFLZ58uQJbty4UW2cz47pdXBwgIWFBVq1aqWw7KeffgIA3LhxA8XFxQpxGxsbo1evXsjIyAAAZGRkoE+fPgpjS7y9vRWOWR7vF198IS0TQqCsrAyZmZno2LFjtTHXNo0lFNSwtFz4rdJlg/lXRUREpFcGDBiAqKgoXLhwAQYGBujUqRP8/PwQHx+P+/fvK9zuJJfLkZqaildffbXafT47jhZ4OvNn+Sygzy57VnWzigYGBuLWrVv49ttvcfr0aQwaNAjvvfce1q9fj7KyMnh6eir8QC/XtGlTpeOUyWSVxl0+vqSqWUyfjfv5OlamrKwM06ZNw+zZsyusc3V1rXH72saffkQapkoydnN19Y0raU5CQgLWrVuHlJQUZGdn4/DhwxgxYoS0XgiBZcuWYceOHbh//z569+6NrVu3onPnztoLWt/U5Rz8zx+rAczJT6RJ5eMoIiIi4OfnB5lMBj8/P4SHh+P+/fuYM2eOVPbYsWPw9vZ+oelcra2t4ezsjMTERPTv319anpSUhF69elW5XdOmTTF58mRMnjwZvr6+mDdvHtavX4+ePXvi4MGDaNasGaytrdWOqyZt2rSBiYkJEhMTMW7cOABPb+06f/689LyITp064ciRIwrbnT17VuF9z549ceXKFbRp00ZjsaqCCQUpJdjoa22HQKRRBQUF6NatG9566y2F8Vvl1q5di40bN2L37t1o164dVq5ciSFDhuCXX36p0EVORKRvysdR7Nu3D5s2bQLwNMn429/+huLiYoXxE8eOHcPw4cNf+Jjz5s3D0qVL0bp1a3Tv3h27du1Cenp6pb0MAPDPf/4Tnp6e6Ny5MwoLC/Gf//xHujVo/PjxWLduHYYPHy7NHJWVlYVDhw5h3rx5aNGixQvHCwCWlpZ49913MW/ePDRp0gSurq5Yu3YtHj16hClTpgB4OlnRhg0bEBISgmnTpiElJaXCcIEFCxagT58+eO+99zB16lRYWloiIyOjwgDwusKEgkjDVEvG2EOhLYGBgQgMDKx0nRACERERWLRoEYKCggAAe/bsgYODA7788ktMmzatLkMlIn2l4z1lAwcORGpqqpQ82NraolOnTrh79670w72goABnzpzBxx9//MLHmz17NnJzc/H+++8jJycHnTp1wrFjx9C2bdtKy5uYmCA0NBQ3b96Eubk5fH19ceDAAQBPx2skJCRgwYIFCAoKQl5eHpo3b45BgwbVeo/F6tWrUVZWhgkTJiAvLw9eXl44efIkbG1tATy9ZSk6Ohpz587Ftm3b0KtXL6xatQpvv/22tI+uXbsiPj4eixYtgq+vL4QQaN26NUaPHl2rsSpLJpS5UauByM3NhY2NDR4+fKjR7qyGKGLxW9oOQS8Er9xVcyFSoInvtUwmU7jl6bfffkPr1q2RmpqKHj16SOWGDx+Oxo0bY8+ePZXup7CwEIWFhQqxuri4sA1SV13e8vQ8Hf8hR9pVm+3QkydPkJmZCXd392pnQKqvDh06hMWLF+Pq1avaDoVqoMrfokamjSUiakjkcjmApzN1PMvBwUFaV5nw8HDY2NhILxcXF43GSUSk6xo1aoQ1a9ZoOwyqZUwoiIiUpMpsIsDTh3g+fPhQet2+fVvTIRIR6TR/f3/p2Q/UcHAMBRFRDRwdHQE87alwcnKSlufk5FTotXiWqakpTE1NNR4fERGRNrGHgoioBu7u7nB0dERMTIy0rKioCPHx8dJDkYiIiPQVeyiIiADk5+fj119/ld5nZmYiPT1dmtYvODgYq1atQtu2bdG2bVusWrUKFhYW0jzipFktF36LYKNrSpcPHtROg9EQaV75g9CItEWVv0EmFES6RJVZbDjrTK06f/48Bg4cKL0PCQkBAEyaNAm7d+/G/Pnz8fjxY8yYMUN6sN2pU6f4DAoiqlUmJiYwMDDA3bt30bRpU5iYmFQ7VouotgkhUFRUhD/++AMGBgYwMTGpcRsmFHpMlSc4B/MvhRq4AQMGoLpZtGUyGcLCwhAWFlZ3QRGR3jEwMIC7uzuys7Nx9+5dbYdDeszCwgKurq4wMKh5hAR/JhIRUYMTcYa3R1H9ZWJiAldXV5SUlKC0tFTb4ZAeMjQ0hJGRkdK9Y0woiHSISj+CBtZchohqpsz3LuLk0x7dm6v5NHuqGzKZDMbGxjA2NtZ2KEQ14ixPRERERESkNvZQEBER1SDY6Oun/4i9+L+FnBiBiAgAeyiIiIiIiOgFsIdCj0lX3IiItKC6meaeb5840xwRke5iDwUREREREamN13yIiIjU8fyDKDmmgoj0FBMKIiLSqvp0+2V1U8yWTy1bjlPMEpG+4C1PRERERESkNvZQNDDVDXJ8Hgc51m+qfNa8UkpERESawh4KIiIiIiJSGxMKIiIiIiJSG296aWDq0+BGIiIiIqr/mFAQ1VOqJY8cQ0F1Q5WxPQ3N89/JiMVfI6LkTaW351gnIqqveMsTERERERGpjT0URERUp3hrJhFRw8IeCiIiIiIiUht7KIiIqFr6PC6CiIhqxh4KIiIiIiJSG3soiPQAn6pNREREmsKEgkgPqDQINvYiMDBUc8EQUaWY+BNRfcWEgoiISEMqPJtChedSEBHVF0wodF1suLYjICIiHcPeDCLSJUwoiIj0EGduIiKi2sKEoh6IOHNN2yEQEREREVWK08YSEREREZHa2ENBRAoizlxDxEnen13f6OotTCrNMEYawfEWRKRpGksotm3bhnXr1iE7OxudO3dGREQEfH19qywfHx+PkJAQXLlyBc7Ozpg/fz6mT5+uUCY6OhpLlizBjRs30Lp1a3z00Ud44403NFUFzeFAa9Jxqv0I1K8fIKq2bUTPquy7pUszPzH5ICJ1aCShOHjwIIKDg7Ft2zb07dsXn376KQIDA3H16lW4urpWKJ+ZmYmhQ4di6tSp2LdvH3744QfMmDEDTZs2xciRIwEAycnJGD16NFasWIE33ngDhw8fxqhRo5CYmIjevXtrohoqUaURDjbimAhqOPTpB4iqbRsREZE+kAkhRG3vtHfv3ujZsyciIyOlZR07dsSIESMQHl7x6vyCBQtw7NgxZGRkSMumT5+OCxcuIDk5GQAwevRo5Obm4rvvvpPKvPLKK7C1tcX+/fuViis3Nxc2NjZ4+PAhrK2t1a1epVRLKHgLAOmn4JW7an2fmvxeP0/Vtu15qsaqq7cxVYftm2boUi+Guur7BYXq1GU7RKSLar2HoqioCCkpKVi4cKHCcn9/fyQlJVW6TXJyMvz9/RWWBQQEICoqCsXFxTA2NkZycjLmzp1boUxERESVsRQWFqKwsFB6//DhQwBPv/jK2LbiXaXKAcD0motInpSqUJioAVk9b7zSZWcsiay5EP73fdbAtREF6rRtL9oGlRU+UjPaujHD6EiFZWzfNKOsRLf/FpSh7N99fVRX7RCRrqr1hOLevXsoLS2Fg4ODwnIHBwfI5fJKt5HL5ZWWLykpwb179+Dk5FRlmar2CQDh4eFYtmxZheUuLi7KVoeItCR0/Zcqlc/Ly4ONjY2GolGvbWvobVCotgPQK6p9H3SRTYS2I9A8TbdDRLpKY4OyZTKZwnshRIVlNZV/frmq+wwNDUVISIj0vqysDH/99Rfs7Oyq3a46ubm5cHFxwe3btxtMtybrVD80xDoBL14vIQTy8vLg7OysgegqUqUd0kQbpIyG+rfyInhOKsfzUpE656Su2yEiXVPrCYW9vT0MDQ0rXLHLycmpcGWvnKOjY6XljYyMYGdnV22ZqvYJAKampjA1NVVY1rhxY2WrUi1ra+sG1/iyTvVDQ6wT8GL1qosrguq0bZpsg5TRUP9WXgTPSeV4XipS9ZywZ4L0Wa0/2M7ExASenp6IiYlRWB4TEwMfH59Kt/H29q5Q/tSpU/Dy8oKxsXG1ZaraJxFRbVKnbSMiItIHGrnlKSQkBBMmTICXlxe8vb2xY8cOZGVlSc+VCA0NxZ07d7B3714AT2d02rJlC0JCQjB16lQkJycjKipKYfamOXPmoH///lizZg2GDx+Oo0eP4vTp00hMTNREFYiIKqipbSMiItJHGkkoRo8ejT///BPLly9HdnY2unTpguPHj8PNzQ0AkJ2djaysLKm8u7s7jh8/jrlz52Lr1q1wdnbG5s2bpWdQAICPjw8OHDiAxYsXY8mSJWjdujUOHjxY58+gMDU1xdKlSyvcxlCfsU71Q0OsE1C/6lVT26Yr6tM5rSs8J5XjeamI54RIdRp5DgUREREREemHWh9DQURERERE+oMJBRERERERqY0JBRERERERqY0JBRERERERqU3vE4rIyEh07dpVeoCNt7c3vvvuO4UyGRkZGDZsGGxsbGBlZYU+ffoozFJVWFiIWbNmwd7eHpaWlhg2bBh+//33uq6KgprqlZ+fj5kzZ6JFixYwNzdHx44dERkZqbAPXazXs8LDwyGTyRAcHCwtE0IgLCwMzs7OMDc3x4ABA3DlyhWF7XS5Xs/Xqbi4GAsWLICHhwcsLS3h7OyMiRMn4u7duwrb1ac6PW/atGmQyWSIiIhQWK7LddKmhIQEvP7663B2doZMJsORI0dq3CY+Ph6enp4wMzNDq1atsH37ds0HWsdUPS/Z2dkYN24c2rdvDwMDgyr/PuszVc/JoUOHMGTIEDRt2lT6f+PkyZN1E2wdUvW8JCYmom/fvrCzs4O5uTk6dOiAjz/+uG6CJaon9D6haNGiBVavXo3z58/j/PnzePnllzF8+HDpR+iNGzfQr18/dOjQAXFxcbhw4QKWLFkCMzMzaR/BwcE4fPgwDhw4gMTEROTn5+O1115DaWmptqpVY73mzp2LEydOYN++fcjIyMDcuXMxa9YsHD16VNqHLtar3Llz57Bjxw507dpVYfnatWuxceNGbNmyBefOnYOjoyOGDBmCvLw8qYyu1quyOj169AipqalYsmQJUlNTcejQIVy7dg3Dhg1T2LY+1elZR44cwY8//ghnZ+cK63S1TtpWUFCAbt26YcuWLUqVz8zMxNChQ+Hr64u0tDR8+OGHmD17NqKjozUcad1S9bwUFhaiadOmWLRoEbp166bh6LRD1XOSkJCAIUOG4Pjx40hJScHAgQPx+uuvIy0tTcOR1i1Vz4ulpSVmzpyJhIQEZGRkYPHixVi8eDF27Nih4UiJ6hFBFdja2orPPvtMCCHE6NGjxd///vcqyz548EAYGxuLAwcOSMvu3LkjDAwMxIkTJzQeqyqerVfnzp3F8uXLFdb37NlTLF68WAih2/XKy8sTbdu2FTExMcLPz0/MmTNHCCFEWVmZcHR0FKtXr5bKPnnyRNjY2Ijt27cLIXS3XlXVqTI//fSTACBu3bolhKi/dfr9999F8+bNxeXLl4Wbm5v4+OOPpXW6WiddA0AcPny42jLz588XHTp0UFg2bdo00adPHw1Gpl3KnJdn1fSdawhUPSflOnXqJJYtW1b7AekIdc/LG2+8Ue1vAyJ9o/c9FM8qLS3FgQMHUFBQAG9vb5SVleHbb79Fu3btEBAQgGbNmqF3794K3aMpKSkoLi6Gv7+/tMzZ2RldunRBUlKSFmpR0fP1AoB+/frh2LFjuHPnDoQQiI2NxbVr1xAQEABAt+v13nvv4dVXX8XgwYMVlmdmZkIulyvEbGpqCj8/PylmXa1XVXWqzMOHDyGTydC4cWMA9bNOZWVlmDBhAubNm4fOnTtXWK+rdaqPkpOTFc4jAAQEBOD8+fMoLi7WUlRUH5SVlSEvLw9NmjTRdig6JS0tDUlJSfDz89N2KEQ6QyNPyq5vLl26BG9vbzx58gSNGjXC4cOH0alTJ8jlcuTn52P16tVYuXIl1qxZgxMnTiAoKAixsbHw8/ODXC6HiYkJbG1tFfbp4OAAuVyupRo9VVW9AGDz5s2YOnUqWrRoASMjIxgYGOCzzz5Dv379AEBn63XgwAGkpqbi3LlzFdaVx+Xg4KCw3MHBAbdu3ZLK6Fq9qqvT8548eYKFCxdi3LhxsLa2BlA/67RmzRoYGRlh9uzZla7XxTrVV3K5vNLvRElJCe7duwcnJyctRUa6bsOGDSgoKMCoUaO0HYpOaNGiBf744w+UlJQgLCwM77zzjrZDItIZTCgAtG/fHunp6Xjw4AGio6MxadIkxMfHS1eAhw8fjrlz5wIAunfvjqSkJGzfvr3aqxNCCMhksroIv0pV1atTp07YvHkzzp49i2PHjsHNzQ0JCQmYMWMGnJycqr1Krs163b59G3PmzMGpU6cUxrA87/n4lIlZW/VStk7A0wHaY8aMQVlZGbZt21bjvnW1TikpKdi0aRNSU1NVjk8Xvlf1UWXficqWE5Xbv38/wsLCcPToUTRr1kzb4eiE77//Hvn5+Th79iwWLlyINm3aYOzYsdoOi0gn8JYnACYmJmjTpg28vLwQHh6Obt26YdOmTbC3t4eRkZF0Vb9cx44dpVmeHB0dUVRUhPv37yuUycnJqXBVsK5VVa/Hjx/jww8/xMaNG/H666+ja9eumDlzJkaPHo3169cD0M16paSkICcnB56enjAyMoKRkRHi4+OxefNmGBkZSXE9fwX72Zh1rV411al8AHJxcTFGjRqFzMxMxMTESL0TQP2rU1xcHHJycuDq6iqtv3XrFt5//320bNlSJ+tUnzk6Olb6nTAyMoKdnZ2WoiJddvDgQUyZMgX//ve/lboNU1+4u7vDw8MDU6dOxdy5cxEWFqbtkIh0BhOKSgghUFhYCBMTE7z00kv45ZdfFNZfu3YNbm5uAABPT08YGxsjJiZGWp+dnY3Lly/Dx8enTuOuSXm9iouLUVxcDAMDxY/f0NAQZWVlAHSzXoMGDcKlS5eQnp4uvby8vDB+/Hikp6ejVatWcHR0VIi5qKgI8fHxUsy6Vq+a6mRoaCglE9evX8fp06cr/Aisb3WaPHkyLl68qLDe2dkZ8+bNk6ao1LU61Wfe3t4K5xEATp06BS8vLxgbG2spKtJV+/fvx+TJk/Hll1/i1Vdf1XY4Oqv8/1Miekrvb3n68MMPERgYCBcXF+Tl5eHAgQOIi4vDiRMnAADz5s3D6NGj0b9/fwwcOBAnTpzAN998g7i4OACAjY0NpkyZgvfffx92dnZo0qQJPvjgA3h4eGj1yk519bK2toafnx/mzZsHc3NzuLm5IT4+Hnv37sXGjRt1tl5WVlbo0qWLwjJLS0vY2dlJy4ODg7Fq1Sq0bdsWbdu2xapVq2BhYYFx48YB0L161VSnkpISvPnmm0hNTcV//vMflJaWSlebmzRpAhMTk3pXJwAVkiJjY2M4Ojqiffv2AHTvc9Il+fn5+PXXX6X3mZmZSE9PR5MmTeDq6orQ0FDcuXMHe/fuBQBMnz4dW7ZsQUhICKZOnYrk5GRERUVh//792qqCRqh6XgAgPT1d2vaPP/5Aeno6TExMKvRK11eqnpP9+/dj4sSJ2LRpE/r06SO1Nebm5rCxsdFKHTRB1fOydetWuLq6okOHDgCePpdi/fr1mDVrllbiJ9JJWppdSme8/fbbws3NTZiYmIimTZuKQYMGiVOnTimUiYqKEm3atBFmZmaiW7du4siRIwrrHz9+LGbOnCmaNGkizM3NxWuvvSaysrLqshoV1FSv7OxsMXnyZOHs7CzMzMxE+/btxYYNG0RZWZlURhfr9bznp3ssKysTS5cuFY6OjsLU1FT0799fXLp0SWEbXa/Xs3XKzMwUACp9xcbGStvUpzpV5vlpY4XQ/TppS2xsbKV/D5MmTRJCCDFp0iTh5+ensE1cXJzo0aOHMDExES1bthSRkZF1H7iGqXNeKivv5uZW57FriqrnxM/Pr9ryDYWq52Xz5s2ic+fOwsLCQlhbW4sePXqIbdu2idLSUu1UgEgHyYT4/6PziIiIiIiIVMQxFEREREREpDYmFEREREREpDYmFEREREREpDYmFEREREREpDYmFEREREREpDYmFEREREREpDYmFEREREREpDYmFEREREREpDYmFEREREREpDYmFEREREREpDYmFEREREREpDYmFEREREREpDYmFEREREREpDYmFEREREREpDYmFEREREREpDYmFEREREREpDYmFEREREREpDYmFERERBo0YMAAHDhwQNthEBFpDBMKIiIiIiJSGxMKIiIiIiJSGxMKanBWrFgBNzc3WFtbw9vbGxcvXtR2SESkR86dO4euXbvC2toa06ZNQ1lZmbZDIiLSKCYU1OB06tQJ58+fx19//YUhQ4Zg4sSJ2g6JiPREUVERgoKCMGvWLPz555/o0qULkpKStB0WEZFGyYQQQttBEGnKkydPYGFhgdzcXDRq1Ejb4RBRAxcfH48pU6bg119/BQAIIeDq6op169ZhzJgxWo6OiEgz2ENBDc7OnTvRuXNn2NjYwNHREUII/Pnnn9oOi4j0QHZ2NlxcXKT3MpkMLVq00GJERESaZ6TtAIhq082bNxESEoL4+Hj06NEDT548QaNGjcCOOCKqC05OTvj9998Vlj3/noiooWEPBTUo+fn5kMlksLOzQ3FxMZYuXcpkgojqjLe3Nx4/foyoqCgUFxdj69atyM7O1nZYREQaxYSCGpQuXbrgH//4B7p27YqWLVvC3d0dJiYm2g6LiPSEiYkJoqOj8fHHH8POzg4XL16Ej4+PtsMiItIoDsomIiIiIiK1sYeCiIiIiIjUxoSCiIiIiIjUxoSCiIiIiIjUxoSCiIiIiIjUxoSCiIiIiIjUxoSCiIiIiIjUpldPyi4rK8Pdu3dhZWUFmUym7XCIqBYIIZCXlwdnZ2cYGOj2NRK2QUQNU31qh4g0Qa8Sirt378LFxUXbYRCRBty+fRstWrTQdhjVYhtE1LDVh3aISBP0KqGwsrIC8PQLb21treVoiKg25ObmwsXFRfp+6zK2QUQNU31qh4g0Qa8SivJbDKytrfmfOVEDUx9uIWIbRNSw1Yd2iEgTeKMfERERERGpTa96KEgPxIbXXGZgqObjICJSpj16FtsmIqqn2ENBRERERERqY0JBRERERERqY0JBRERERERqY0JBRERERERqY0JBRERERERqY0JBRERERERqU2va2G3btmHdunXIzs5G586dERERAV9f3yrLx8fHIyQkBFeuXIGzszPmz5+P6dOnS+t3796Nt956q8J2jx8/hpmZmdrHJVILp54loloSceaa8mVPfqt02ZurX1UnHCIijVC5h+LgwYMIDg7GokWLkJaWBl9fXwQGBiIrK6vS8pmZmRg6dCh8fX2RlpaGDz/8ELNnz0Z0dLRCOWtra2RnZyu8nk0mVD0uERERERFpnso9FBs3bsSUKVPwzjvvAAAiIiJw8uRJREZGIjy84pXd7du3w9XVFREREQCAjh074vz581i/fj1GjhwplZPJZHB0dKy14wJAYWEhCgsLpfe5ubmqVpd0jaoPiiIiIiIijVIpoSgqKkJKSgoWLlyosNzf3x9JSUmVbpOcnAx/f3+FZQEBAYiKikJxcTGMjY0BAPn5+XBzc0NpaSm6d++OFStWoEePHmofFwDCw8OxbNkyVapIRET6RpULFQND0XKhcrcmBRspf7sTEVF9ptItT/fu3UNpaSkcHBwUljs4OEAul1e6jVwur7R8SUkJ7t27BwDo0KEDdu/ejWPHjmH//v0wMzND3759cf36dbWPCwChoaF4+PCh9Lp9+7Yq1SUiIiIiohqoNShbJpMpvBdCVFhWU/lnl/fp0wd9+vSR1vft2xc9e/bEJ598gs2bN6t9XFNTU5iamtZQGyIiIiIiUpdKCYW9vT0MDQ0r9Ark5ORU6D0o5+joWGl5IyMj2NnZVbqNgYEBXnrpJamHQp3jElWJ4zCIiIiIao1KtzyZmJjA09MTMTExCstjYmLg4+NT6Tbe3t4Vyp86dQpeXl7S+InnCSGQnp4OJycntY9LRERERESap/ItTyEhIZgwYQK8vLzg7e2NHTt2ICsrS3quRGhoKO7cuYO9e/cCAKZPn44tW7YgJCQEU6dORXJyMqKiorB//35pn8uWLUOfPn3Qtm1b5ObmYvPmzUhPT8fWrVuVPi41EOw9IKLaUA/bkmCjr1UozedQEJHuUDmhGD16NP78808sX74c2dnZ6NKlC44fPw43NzcAQHZ2tsKzIdzd3XH8+HHMnTsXW7duhbOzMzZv3qwwZeyDBw/wj3/8A3K5HDY2NujRowcSEhLQq1cvpY9L+kGVh0QFD2qnwUiooUlISMC6deuQkpKC7OxsHD58GCNGjJDWCyGwbNky7NixA/fv30fv3r2xdetWdO7cWXtBU5VUaStU2q8KD58jItIXMlE+QloP5ObmwsbGBg8fPoS1tbW2w6HK1HBVUWcSCj4pW2fU1vf6u+++ww8//ICePXti5MiRFRKKNWvW4KOPPsLu3bvRrl07rFy5EgkJCfjll19gZWVVp7FSzSIWv6XtEDQqeOUubYdAz+B3m/SdWrM8ERE1NIGBgQgMDKx0nRACERERWLRoEYKCggAAe/bsgYODA7788ktMmzat0u34cE0iItIHTCiowdKZ3gyq9zIzMyGXyxUe0mlqago/Pz8kJSVVmVDw4ZpERKQPVJrliYhIH5VPWc2HaxIREVXEHgoiIiXx4ZqkM1SZxYpjvohIw9hDQURUA0dHRwDgwzWJiIgqwYSCiKgG7u7ucHR0VHi4ZlFREeLj4/lwTSIi0nu85YmICEB+fj5+/fVX6X1mZibS09PRpEkTuLq6Ijg4GKtWrULbtm3Rtm1brFq1ChYWFhg3bpwWo9YvLRcq/wyIYP7vRkRUZ9jkktY9+yMh2EgzD6Miqsn58+cxcOBA6X1ISAgAYNKkSdi9ezfmz5+Px48fY8aMGdKD7U6dOqX0MyiIiIgaKiYUREQABgwYgOqe8ymTyRAWFoawsLC6C4qIiKge4BgKIiIiIiJSGxMKIiIiIiJSG295IiIi3RcbzjFWREQ6igkFEYCIM8r/UAke1E6DkRARERHVL0woiIiI6hmVLoIMrLkMEdGLYEJBpI7Y8OrXDwytmziIiIiItIwJBdWdKn6E875oIiIiovqLszwREREREZHamFAQEREREZHamFAQEREREZHaOIaCiIioAWu58Fuly95c/aoGIyGihoo9FEREREREpDb2UBARkdYoe/Wcs8EREekuJhREKlLmgVIRJ//3I4m3EBBVITaciQIRUQPAhIKIiKgBCzb6WoXSvABCRKpTawzFtm3b4O7uDjMzM3h6euL777+vtnx8fDw8PT1hZmaGVq1aYfv27Qrrd+7cCV9fX9ja2sLW1haDBw/GTz/9pFAmLCwMMplM4eXo6KhO+EREREREVEtUTigOHjyI4OBgLFq0CGlpafD19UVgYCCysrIqLZ+ZmYmhQ4fC19cXaWlp+PDDDzF79mxER0dLZeLi4jB27FjExsYiOTkZrq6u8Pf3x507dxT21blzZ2RnZ0uvS5cuqRo+ERERERHVIpVvedq4cSOmTJmCd955BwAQERGBkydPIjIyEuHh4RXKb9++Ha6uroiIiAAAdOzYEefPn8f69esxcuRIAMAXX3yhsM3OnTvx9ddf48yZM5g4ceL/gjUyYq8EEREREZEOUamHoqioCCkpKfD391dY7u/vj6SkpEq3SU5OrlA+ICAA58+fR3FxcaXbPHr0CMXFxWjSpInC8uvXr8PZ2Rnu7u4YM2YMfvvtt2rjLSwsRG5ursKLiIiIiIhqj0o9FPfu3UNpaSkcHBwUljs4OEAul1e6jVwur7R8SUkJ7t27BycnpwrbLFy4EM2bN8fgwYOlZb1798bevXvRrl07/Pe//8XKlSvh4+ODK1euwM7OrtJjh4eHY9myZapUkV5E7NMeKmVmQSIiIiKihkGtWZ5kMpnCeyFEhWU1la9sOQCsXbsW+/fvR1xcHMzMzKTlgYGB0r89PDzg7e2N1q1bY8+ePQgJCan0uKGhoQrrcnNz4eLiUk3NiGrHs7OqRCyuOMNKRMmblW7HKWZ1V1hYWIULFNVdTCEiItIXKiUU9vb2MDQ0rPAfaE5OToVeiHKOjo6VljcyMqrQs7B+/XqsWrUKp0+fRteuXauNxdLSEh4eHrh+/XqVZUxNTWFqalrtfoiIlNW5c2ecPn1aem9oaKjFaIiIiHSDSmMoTExM4OnpiZiYGIXlMTEx8PHxqXQbb2/vCuVPnToFLy8vGBsbS8vWrVuHFStW4MSJE/Dy8qoxlsLCQmRkZFR6yxQRkSaUTwxR/mratGm15TmOi4iI9IHK08aGhITgs88+w+eff46MjAzMnTsXWVlZmD59OoCntxk9OzPT9OnTcevWLYSEhCAjIwOff/45oqKi8MEHH0hl1q5di8WLF+Pzzz9Hy5YtIZfLIZfLkZ+fL5X54IMPEB8fj8zMTPz444948803kZubi0mTJr1I/YmIlKbqxBDh4eGwsbGRXrzlkoiIGiKVE4rRo0cjIiICy5cvR/fu3ZGQkIDjx4/Dzc0NAJCdna3wTAp3d3ccP34ccXFx6N69O1asWIHNmzdLU8YCTx+UV1RUhDfffBNOTk7Sa/369VKZ33//HWPHjkX79u0RFBQEExMTnD17VjouEZEmlU8McfLkSezcuRNyuRw+Pj74888/q9wmNDQUDx8+lF63b9+uw4iJiIjqhkyUj5DWA7m5ubCxscHDhw9hbW2t7XAaHs7ypDQOyq492vpeFxQUoHXr1pg/f36VE0M8T1/aoJYLv1Wq3LOTF5BuCB7UTvnCA0M1F0g9oy/fbaKqqDXLExGRvlNmYgi9FBuOYCNeVCAi0idMKEgpylxx5I8I5VV5ZTb24v/+zat/Oq18YghfX19th0JERKRVKo+hICLSR5wYgoiIqHLsoSAiUkL5xBD37t1D06ZN0adPH04MQQ2OKmPgggdqMBAiqleYUBARKeHAgQPaDoGIiEgn8ZYnIiIiIiJSG3soiHTIs7cbRJysfiA8p5glIiIiXcCEgoiIiFSm7PNGAF4AIWromFAQERGRylR6MGHsRU6FTdSAMaHQY6pcXSIi/ab806/5PBoiIn3DhIKUptLVKCIiIiLSC0woiIioerHh7HkgIqIqcdpYIiIiIiJSGxMKIiIiIiJSG295IqqnOGUjERER6QImFEQ6qqZB8BElb9ZRJERERERV4y1PRERERESkNvZQEBHpKT5bgoiIagMTCqJ6SpnngvC2KCLSBRFnriHipHIJLMd8EdU/TCiI9ICqT0Xnf+hERESkLCYURET6iA+rIyKiWsKEooFR9Uo0EREREdGLYEJBAJS7H5+IdFhsOICn96oTERHVJSYURA2Yus+y4EPziKi2KX3hKvYiMDBUs8EQUa1iQkFEL4TJBxHVuv/f46YUJh9EWqdWQrFt2zasW7cO2dnZ6Ny5MyIiIuDr61tl+fj4eISEhODKlStwdnbG/PnzMX36dIUy0dHRWLJkCW7cuIHWrVvjo48+whtvvPFCx6X/4S1NRLVDG+2QMkkbB1hTQ6HKbXvBg9ppMBIiUpbKCcXBgwcRHByMbdu2oW/fvvj0008RGBiIq1evwtXVtUL5zMxMDB06FFOnTsW+ffvwww8/YMaMGWjatClGjhwJAEhOTsbo0aOxYsUKvPHGGzh8+DBGjRqFxMRE9O7dW63jNhQcZE0NSX3vzajzduj/X6VlskBERLpMJoQQqmzQu3dv9OzZE5GRkdKyjh07YsSIEQgPr9hFuWDBAhw7dgwZGRnSsunTp+PChQtITk4GAIwePRq5ubn47rvvpDKvvPIKbG1tsX//frWOCwCFhYUoLCyU3j98+BCurq64ffs2rK2tVam21nRZerJW9jPD6Eit7IfoedtKRmhkv5eXBShVLjc3Fy4uLnjw4AFsbGw0Eks5VduhF26DEjYAALbF//riwRM1QDP82gD939d2GHXaDhHpJKGCwsJCYWhoKA4dOqSwfPbs2aJ///6VbuPr6ytmz56tsOzQoUPCyMhIFBUVCSGEcHFxERs3blQos3HjRuHq6qr2cYUQYunSpQIAX3zxpQev27dvK9eQqUmddohtEF986ddL0+0Qka5S6Zane/fuobS0FA4ODgrLHRwcIJfLK91GLpdXWr6kpAT37t2Dk5NTlWXK96nOcQEgNDQUISEh0vuysjL89ddfsLOzg0wmq7nC9UD5VZH61OtS13iOalafz5EQAnl5eXB2dtbocdRph/ShDapMff57Ugfr2/DVVOe6aoeIdJVag7Kf/49QCFHtf46VlX9+uTL7VPW4pqamMDU1VVjWuHHjKsvXZ9bW1nrTsKuL56hm9fUc1eUtBqq0Q/rUBlWmvv49qYv1bfiqqzNvdSJ9ZqBKYXt7exgaGla4GpeTk1Phql05R0fHSssbGRnBzs6u2jLl+1TnuEREtYntEBERUeVUSihMTEzg6emJmJgYheUxMTHw8fGpdBtvb+8K5U+dOgUvLy8YGxtXW6Z8n+ocl4ioNrEdIiIiqpzKtzyFhIRgwoQJ8PLygre3N3bs2IGsrCzpuRKhoaG4c+cO9u7dC+DpjE5btmxBSEgIpk6diuTkZERFRUmzNwHAnDlz0L9/f6xZswbDhw/H0aNHcfr0aSQmJip9XH1lamqKpUuXVritgv6H56hmPEfKYTukHH37e2J9Gz59rDORStQZyb1161bh5uYmTExMRM+ePUV8fLy0btKkScLPz0+hfFxcnOjRo4cwMTERLVu2FJGRkRX2+dVXX4n27dsLY2Nj0aFDBxEdHa3ScYmI6gLbISIiIkUqP4eCiIiIiIionEpjKIiIiIiIiJ7FhIKIiIiIiNTGhIKIiIiIiNTGhIKIiIiIiNTGhKIeKCkpweLFi+Hu7g5zc3O0atUKy5cvR1lZmVRGCIGwsDA4OzvD3NwcAwYMwJUrV7QYtWYlJCTg9ddfh7OzM2QyGY4cOaKwXpnzUVhYiFmzZsHe3h6WlpYYNmwYfv/99zqshWZVd46Ki4uxYMECeHh4wNLSEs7Ozpg4cSLu3r2rsI+Gfo5IUU3fq//+97+YPHkynJ2dYWFhgVdeeQXXr1+vdp/FxcVYvnw5WrduDTMzM3Tr1g0nTpxQKBMWFgaZTKbwcnR0rO3qVRAeHo6XXnoJVlZWaNasGUaMGIFffvlFoYy6bWt0dDQ6deoEU1NTdOrUCYcPH65QZtu2bXB3d4eZmRk8PT3x/fff11rdqqLNOmvjc9ZUfa9cuYKRI0eiZcuWkMlkiIiIqLScNj5jIm1gQlEPrFmzBtu3b8eWLVuQkZGBtWvXYt26dfjkk0+kMmvXrsXGjRuxZcsWnDt3Do6OjhgyZAjy8vK0GLnmFBQUoFu3btiyZUul65U5H8HBwTh8+DAOHDiAxMRE5Ofn47XXXkNpaWldVUOjqjtHjx49QmpqKpYsWYLU1FQcOnQI165dw7BhwxTKNfRzRIqq+5sRQmDEiBH47bffcPToUaSlpcHNzQ2DBw9GQUFBlftcvHgxPv30U3zyySe4evUqpk+fjjfeeANpaWkK5Tp37ozs7GzpdenSpVqv3/Pi4+Px3nvv4ezZs4iJiUFJSQn8/f0V6qNO25qcnIzRo0djwoQJuHDhAiZMmIBRo0bhxx9/lMocPHgQwcHBWLRoEdLS0uDr64vAwEBkZWU12DoDdf85a6q+jx49QqtWrbB69eoqkyJtfcZEWqG9GWtJWa+++qp4++23FZYFBQWJv//970IIIcrKyoSjo6NYvXq1tP7JkyfCxsZGbN++vU5j1QYA4vDhw9J7Zc7HgwcPhLGxsThw4IBU5s6dO8LAwECcOHGizmKvK8+fo8r89NNPAoC4deuWEEL/zhEpev5v5pdffhEAxOXLl6VlJSUlokmTJmLnzp1V7sfJyUls2bJFYdnw4cPF+PHjpfdLly4V3bp1q7XY1ZWTkyMASM8WUbdtHTVqlHjllVcUlgUEBIgxY8ZI73v16iWmT5+uUKZDhw5i4cKFtVEVpdVlnXXhc66t+j7Lzc1NfPzxxxWW68pnTFQX2ENRD/Tr1w9nzpzBtWvXAAAXLlxAYmIihg4dCgDIzMyEXC6Hv7+/tI2pqSn8/PyQlJSklZi1SZnzkZKSguLiYoUyzs7O6NKli16eMwB4+PAhZDIZGjduDIDniBQVFhYCAMzMzKRlhoaGMDExQWJiYrXbPbsNAJibm1fY5vr163B2doa7uzvGjBmD3377rRajV87Dhw8BAE2aNAGgftuanJyssA0ABAQESNsUFRUhJSWlQhl/f/86/27VVZ3Laftzrq361kSXPmOiusCEoh5YsGABxo4diw4dOsDY2Bg9evRAcHAwxo4dCwCQy+UAAAcHB4XtHBwcpHX6RJnzIZfLYWJiAltb2yrL6JMnT55g4cKFGDduHKytrQHwHJGiDh06wM3NDaGhobh//z6KioqwevVqyOVyZGdnV7ldQEAANm7ciOvXr6OsrAwxMTE4evSowja9e/fG3r17cfLkSezcuRNyuRw+Pj74888/66JqAJ7e0hUSEoJ+/fqhS5cuANRvW+VyebXb3Lt3D6WlpVpvs+uyzoD2P+farG9NdOUzJqorRtoOgGp28OBB7Nu3D19++SU6d+6M9PR0BAcHw9nZGZMmTZLKyWQyhe2EEBWW6RN1zoc+nrPi4mKMGTMGZWVl2LZtW43l9fEcEWBsbIzo6GhMmTIFTZo0gaGhIQYPHozAwMBqt9u0aROmTp2KDh06QCaToXXr1njrrbewa9cuqcyz+/Dw8IC3tzdat26NPXv2ICQkRGN1etbMmTNx8eLFSntb1GlLlNlG2212XddZ259zbddXGdr+jInqCnso6oF58+Zh4cKFGDNmDDw8PDBhwgTMnTsX4eHhACANCHv+qkdOTk6FqyP6QJnz4ejoiKKiIty/f7/KMvqguLgYo0aNQmZmJmJiYqTeCYDniCry9PREeno6Hjx4gOzsbJw4cQJ//vkn3N3dq9ymadOmOHLkCAoKCnDr1i38/PPPaNSoUbXbWFpawsPDo8YZpGrLrFmzcOzYMcTGxqJFixbScnXbVkdHx2q3sbe3h6GhoVbb7Lquc2Xq8nOu7frWRBc+Y6K6xISiHnj06BEMDBQ/KkNDQ2naWHd3dzg6OiImJkZaX1RUhPj4ePj4+NRprLpAmfPh6ekJY2NjhTLZ2dm4fPmy3pyz8mTi+vXrOH36NOzs7BTW8xxRVWxsbNC0aVNcv34d58+fx/Dhw2vcxszMDM2bN0dJSQmio6Or3aawsBAZGRlwcnKqzbArEEJg5syZOHToEP7v//6vQpKjbtvq7e2tsA0AnDp1StrGxMQEnp6eFcrExMRo/LulrTpXpi4+Z03Vtyba/IyJtKLOh4GTyiZNmiSaN28u/vOf/4jMzExx6NAhYW9vL+bPny+VWb16tbCxsRGHDh0Sly5dEmPHjhVOTk4iNzdXi5FrTl5enkhLSxNpaWkCgNi4caNIS0uTZihS5nxMnz5dtGjRQpw+fVqkpqaKl19+WXTr1k2UlJRoq1q1qrpzVFxcLIYNGyZatGgh0tPTRXZ2tvQqLCyU9tHQzxEpqul79e9//1vExsaKGzduiCNHjgg3NzcRFBSksI8JEyYozGJz9uxZER0dLW7cuCESEhLEyy+/LNzd3cX9+/elMu+//76Ii4sTv/32mzh79qx47bXXhJWVlbh586ZG6/vuu+8KGxsbERcXp/AdePTokVRGmbbk+Tr/8MMPwtDQUKxevVpkZGSI1atXCyMjI3H27FmpzIEDB4SxsbGIiooSV69eFcHBwcLS0rJB11kbn7Om6ltYWCh9V5ycnMQHH3wg0tLSxPXr16Uy2vqMibSBCUU9kJubK+bMmSNcXV2FmZmZaNWqlVi0aJHCD7+ysjKxdOlS4ejoKExNTUX//v3FpUuXtBi1ZsXGxgoAFV6TJk0SQih3Ph4/fixmzpwpmjRpIszNzcVrr70msrKytFAbzajuHGVmZla6DoCIjY2V9tHQzxEpqul7tWnTJtGiRQthbGwsXF1dxeLFixXaISGE8PPzk8oLIURcXJzo2LGjMDU1FXZ2dmLChAnizp07CtuMHj1aODk5CWNjY+Hs7CyCgoLElStXNF3dKr8Du3btksoo05Y8X2chhPjqq69E+/bthbGxsejQoYOIjo6ucPytW7cKNzc3YWJiInr27ClNZapJ2qyzNj5nTdW3qjbUz89PYTttfMZE2iATQggNdHwQEREREZEe4BgKIiIiIiJSGxMKIiIiIiJSGxMKIiIiIiJSGxMKIiIiIiJSGxMKIiIiIiJSGxMKIiIiIiJSGxMKIiIiIiJSGxMKIiIiIiJSGxMKIiIiIiJSGxMKIiIiIiJSGxMKIiIiIiJS2/8DyOvCwUUiqYkAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 3))\n", "for i in range(4):\n", " plt.subplot(2, 2, i + 1)\n", " plt.hist(p1.iloc[:, i], bins=20, density=True)\n", " plt.hist(p2.iloc[:, i], bins=20, density=True, alpha=0.5)\n", " if i == 1:\n", " plt.legend([\"w/o noise model\", \"w/ noise model\"], bbox_to_anchor=(1.05, 1))\n", " plt.title(pnames[i], fontsize=\"small\")\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 20, "id": "daf1547a-7c32-490d-944e-3fba45ee2ff5", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 6))\n", "for i in range(4):\n", " plt.subplot(2, 2, i + 1, aspect=1)\n", " plt.plot(p1.iloc[:, i], p2.iloc[:, i], \".\", markersize=1)\n", " plt.xlabel(\"w/o noise model\")\n", " plt.ylabel(\"w/ noise model\")\n", " plt.title(pnames[i], fontsize=\"small\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "18c0ed59-fcaf-4273-bce3-cda50864a6d4", "metadata": {}, "source": [ "The ultimate test to determine whether parameters estimated without a noise model are not significantly different from parameters estimated with a noise model is to check whether the parameters estimated without a noise model are within the 95% confidence interval of the parameters estimated with the noise model. The estimates values of $n$ are outside the 95% confidence interval more than 300 times out of 1000. That is quite a bit and is an indication that $n$ cannot be estimated very accurately for this dataset. " ] }, { "cell_type": "code", "execution_count": 26, "id": "007938ad-7a1d-4665-badc-9d4bd67d5a27", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "parameters without noise model within 95% confidence interval with noise model\n", "A, n, a, d\n" ] }, { "data": { "text/plain": [ "array([1000, 669, 980, 1000])" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(\"parameters without noise model within 95% confidence interval with noise model\")\n", "print(\"A, n, a, d\")\n", "(np.abs(p1.values - p2.values[:, :-1]) < 1.96 * sig2.values[:, :-1]).sum(0)" ] }, { "cell_type": "markdown", "id": "46f95e23-7a0a-48eb-acda-1bab40d8d2d5", "metadata": {}, "source": [ "## Parameter uncertainty is larger when the correlation factor is larger" ] }, { "cell_type": "markdown", "id": "4c6c801b-d43d-4b0a-9694-808165505fbe", "metadata": {}, "source": [ "The experiments are repeated for the case that the standard deviation of the error is still $\\sigma=0.1$ but the correlation between errors from one day to the next is increased to $\\phi=0.99$ ($\\alpha\\approx 99.5$ d). The coverage of the estimated parameter uncertainty is somewhat smaller than 95% when using the AR1 noise model. " ] }, { "cell_type": "code", "execution_count": 22, "id": "e8374abe-f157-4d45-a236-dd2a503af667", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "..........\n", "\n", "coverage without noise model\n" ] }, { "data": { "text/html": [ "
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coverage percentage11.826.816.011.4
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" ], "text/plain": [ " A n a d\n", "coverage percentage 11.8 26.8 16.0 11.4" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "..........\n", "\n", "coverage with AR1 noise model\n" ] }, { "data": { "text/html": [ "
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Anadalpha
coverage percentage90.894.991.889.181.6
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" ], "text/plain": [ " A n a d alpha\n", "coverage percentage 90.8 94.9 91.8 89.1 81.6" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigh = 0.1\n", "rho = 0.99\n", "p3, sig3, coverage3, rsq3, rmse3 = experiment(\n", " nexp=nexp, nparam=4, model=model1, ptrue=ptrue, pnames=pnames, sigh=sigh, rho=rho\n", ")\n", "print(\"coverage without noise model\")\n", "display(coverage3)\n", "#\n", "alphatrue = -1 / np.log(rho)\n", "ptrue2 = np.hstack((ptrue, alphatrue))\n", "p4, sig4, coverage4, rsq4, rmse4 = experiment(\n", " nexp=nexp, nparam=5, model=model2, ptrue=ptrue2, pnames=pnames2, sigh=sigh, rho=rho\n", ")\n", "print(\"coverage with AR1 noise model\")\n", "display(coverage4)" ] }, { "cell_type": "markdown", "id": "1f2e0e2e-1f49-4dfe-b3c2-71575dfb8a6a", "metadata": {}, "source": [ "### It is sometimes difficult to estimate the parameters when the correlation $\\phi$ is very large.\n", "The difficulty lies in the model when no noise model is used. It seems the wrong optimal is sometimes found and it is more difficult to estimate $n$. This requires further investigation. " ] }, { "cell_type": "code", "execution_count": 23, "id": "c1de13c4-506b-482a-92ab-e22794015b2a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 3))\n", "for i in range(4):\n", " plt.subplot(2, 2, i + 1)\n", " plt.hist(p3.iloc[:, i], bins=20, density=True)\n", " plt.hist(p4.iloc[:, i], bins=20, density=True, alpha=0.5)\n", " if i == 1:\n", " plt.legend([\"w/o noise model\", \"w noise model\"], bbox_to_anchor=(1.05, 1))\n", " plt.title(pnames[i], fontsize=\"small\")\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 24, "id": "d9456256-5552-4601-9f30-7c8ea7dc35da", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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77GLCDVolLqqzxTd1hs9Zd1mzAoHg8qBbWJq8GAwGhg4d2tFiCDoJvllxAP/OLmJXXoVSvbvEaMVsc5I2JBaDXsPs6/oCMHfNAU6UmpABg06Dw+XgbJWVCIOW6CZqL4F//SWv5anSYlfce4KGiDUrEAi6Et1CabJarbz99tv88MMPlJaW4na7/c7v37+/gyQTdCT1s+K25pZxotTEkm9zKDZa6RsdzMHCKoYlhrP/dCVLanLIP2ehutZOUqSBq3pHYLG5+CqrELcsEx2iVxQuXxrLlIsLDWD5jJF+li7BL4g1KxAIuiLdQml64IEH2LRpE3fccQdjxoxBkkT0SHflQlL540ID/ApXXtU7goLKWnafOkelxY7J6iQ4QMP+/HPklpg4WFBNuEFLUqSBUb0jmDYika+yCpk+IhGDXs3sRvrIAazalsfXWWcx2ZxKbSfv+3vjppal53Y691xHItasQCDoinQLpWnDhg18++23jB8/vqNFEbQz9QtRtnS8yeakvMaGWiXx8IS+/Du7mLBALduOl6NXq9CoJNQqFdf2jyYmRM/W42X838Ei7E43t12VyHNTkptUfrxf9xabSznvfe/GimcKxJoVCARdk26hNCUmJoraLpcJ9V1ujeFrjfKOM9ucbDpSgs3pZn3WWa4fGEN6Tgm1dhdurUyAVk2t3cn/O1rK2zNHcqiwmlKjDbvTjTdTor7y432faSMSkYH9pyvJzHcqcnjHNifz5VoEU6xZgUDQFekWStMbb7zBM888w/vvv0/v3r07WhxBO9KSZre+ys3MMUmUGK1kFxq5dkA0hVW1WOxO/nvnaUZfEUGFyc6wnmEEatWk55Rgdbh4du0hfjUolvjQAPLPWZg+IlGZy/df3/cJ1muw2F1EGHR+ypFXGWpK5svVCiXWrAe3283Zs2cJCQkRLkqBoAORZZmamhoSEhJQqZouYdktlKbRo0djtVrp27cvBoMBrVbrd/7cuXMdJJmgLWnOKlNitLJqWx4WmxOQuKZvlOIa+zrrLFani0qLnesHRPOv/YXYnW6OFlVjd7k5WFBNkE7NFdFBVJjsWB0u0nNK6BsThNnuZNGGI0oAuK9i05gFyVe2lihBLbGcdUfacs1u3bqV1157jczMTIqKili3bh3Tp09vcnxRURFPPPEEmZmZHD9+nMcee4xly5b5jVm1ahWffvop2dnZAIwaNYrFixczZswYZczChQt58cUX/a6Li4ujuLi4xbKfPXuWXr16tXi8QCBoX86cOUPPnj2bPN8tlKaZM2dSWFjI4sWLiYuLE09s3ZSmrDIlRitz1xzgeKkJq91FoE5N/9hgympsnpICyXHsPFlBTa2D9JxSHE5PplZpjR2HS0Z2y0QE65AtDq4bEM2JUhOSBI9M6MeKjJNUWRys3pPfQAmqr0S1xlLUEstZd6Qt16zZbGb48OH84Q9/4Pbbbz/veJvNRkxMDM899xxvvfVWo2O2bNnCzJkzGTduHAEBAbz66qvceOONHD58mMTERGXclVdeSXp6uvJarVZfkOxeF+WZM2dETTYBAO/9cIIfjpXyq0GxzPlV/ybHlRqt/CuzgDtG9ST2MnLttxdGo5FevXqdN2ygWyhNO3bsYOfOnQwfPryjRRG0I/WtMl7r0v7TlVTXOugdaSAp0sDuU+corqrl4c8yCdCoCA3UEhKgodxkwyXLRBi0WBxOooL1FFTWAmCyOpEkiUOFVZyuqEWtguWbj/PStBSlMKWg7WjLNTt58mQmT57c4vFXXHEFy5cvB+C//uu/Gh3z+eef+71etWoV//rXv9i8eTP33nuvclyj0RAfH98KqT14lcXQ0FChNHUyLiTe8GJiE+tf+4dfJRMQFMzMMUmENjPXf+0pZnu+mYCgqsvywau9ON8DXLfoPTd48GBqa2s7WgxBO+NbQsC70XyddZb8cxbCArVc1TuCmBA9oYEabC6ZCpOVk2VmjhYbySsz45bBYnfhcsuoJRXnTDY0KgmVBDIgSVBj9Zx3uGTyz1n4Kquwo2+7W9LV1qzFYsHhcBAZGel3/Pjx4yQkJNCnTx9mzJhBXp7oL+hLV25W7dvUuy3Hnu/a+vtcU9Tvnym4NHQLS9PSpUt54oknePnllxk6dGiD+AjxBNd9qB/kbbI5kfAoPbvyKhiaGEaEQUdcaABbcz0bTq3djUoClwxuGVQqiZ5hAUiSRO8oA4WVtfSPDSYmRM+1/aNZvvk4MSF6ympsWGwuduVVAJdXoHZ709XW7LPPPktiYiJpaWnKsbFjx/Lpp58ycOBASkpKWLRoEePGjePw4cNERUU1Oo/NZsNmsymvjUZju8veFrTWktLSRIe2ziJti/kuJN6wsbEtlaGxaz/Ylsf6rLOYbU4evK5vo/P4uvYv1yzcjqBbKE0333wzAJMmTfI7LssykiThcrk6QixBG9FYCQHv5jC7bkNJGxIHeNL+z5lsnK3+5YtJq5YI0mmodbiwOt2oJIlKiwMAg05NkdGKTqNi/i1DKKuxodOoiArSU1hVi0GvFk9z7UBXWrOvvvoqq1evZsuWLQQE/PKF5OsSHDp0KKmpqfTr149PPvmExx9/vNG5lixZ0iB4vLPjjRmstNiBhvGEzX1Zt1TxaOss0tbOV/9+musxmTYkrlHXvfe8yeZkV14FJpuTYL2myd9RY+8jAy63TObpSmTylAc332K9vnO15H6FYtU2dAul6YcffuhoEQQXSXMLuv6G4Ltx+Fbj9qb9n7M4cLs91iW3DAEaFX1igrDYnfxcbiHcoCFQp6F/TDBHi41UWxzkuUzMXXMAu9PNkSIjdqdbUZbaM57hcqWrrNnXX3+dxYsXk56ezrBhw5odGxQUxNChQzl+/HiTY+bPn++nUHmDTzszq/fkU2VxNCin4T13scpOdmE1W3PLGJYY3mYPJ63NSl29J1/pUelNBFkwJZmYEH2DYrVehcjLNz+d5V+ZBYzuHcGOkxWkDYkjbUgcpUYbX2edpdRoIzZU32T2r68iNn1EIvtPV5J/zsLg+BBlL/K+t9nmJMhHEWvJ/V7s30rscx66hdI0YcKEjhZBcJHUd7v59mwz2Zyk1pUQAI/peu3+QrbmljE43uPGkfjFXXei1MT23DIkQKeWCArQMjg+hD2nzqHTqKg0O6ixugjWayiptiFJoNOoqbTYGRwfSlG1laRIw3k3B+8mYrY52SlceBdEV1izr732GosWLeL7779n9OjR5x1vs9nIycnhuuuua3KMXq9Hr9e3pZjtTn3rblPnGqMlX9SLNhzhSJERnUbVor6OLaG1WaneRttVFgfPrj1EWY2N59dnK8VwvWOABpamf2UWUFpjJT2nFL1WhUGvZuaYJB75LBO3LHO02MjBQrff76L+HrI1t4yCylpMNiej6to+Bek1fo3AwbMn/l+dkvb+70eRkhh23vtNGxLHrrwKxSp/oVyuNeXq0y0CwQVdH9+gRu/iXLUtj7lrDrDteBlBeo2yacpArcPF0SIjFruT2FA9O09WcLTIyP7TlWw/Xo5T9sYwyVjsTnbnVVBstGHQqdBr1YzrF0V8aAAqtYRagquSwgnSacgrM2OxOdlwqIjl6blA08GsXjllEC68DsRkMpGVlUVWVhYAp06dIisri/x8T2Dt/Pnz/TLeAGW8yWSirKyMrKwsjhw5opx/9dVXWbBgAf/1X//FFVdcQXFxMcXFxZhMJmXMk08+SUZGBqdOnWL37t3ccccdGI1G7rvvvva/6TYmu7CaGSt3kl1Y3eCcVwE5n2upsTXSkmDlBVOSGdErnAU+rYq887Q0wLqpNdrU8YxjpaQu2cy9/7Wb2977kYxjpby84QirtuWxYEoyN6fEM7ZPJDqNisHxocp9pA2Ja+Ca8/5erhsQTVSQnrBADYFaNdNHJHoUIruT/rHBzJ00AJ1axc/lZl7ecERRmHz3kMHxobhlmf2nK5k2IpGpIxIw21zMX3uQlzd4Pp/z0gYy+7q+mO0uzlbVMvvTfS0KtPe2k/IqPiVGK39Ze4jb3vuR7MLq8wbti8BzD5Isy/L5hwkuJUajkbCwMKqrqztdQOylwPfpa9vxcsINWhZMSfZ7qnvks0xOn7MQHqAhr9yCDATp1DicLuyehzkkCbQqCadbRiVJyMgE6TTEhuixOt1YbE6MVicatUSEQYfd5UYCrA43tQ4nw3uGs3bOeJal55KeU0LakLgLiufo7HSXz9mWLVv41a9+1eD4fffdx8cff8z999/Pzz//zJYtW5RzjaUV9+7dm59//hnwlCU4ffp0gzEvvPACCxcuBGDGjBls3bqV8vJyYmJiuOaaa/jb3/5GcnJyg+uaorP8DWas3EnWmSpG9ApnzUOpF3x9Y2uk/vpoyXrxnWfmmCSWpedyrLiGl6alkJIY1sCNdUWUgVe+O0ZooBYJuDkl3u/95645QFmNjZgQvVKgFuDaV/4fBZW1SIBaJREfFoDV4aLW7uKusUlKr8kPtuUhA7Ov6wt49p2TpSYcbhmtWqJfTDAvTUvh2S8PcrLMzE1XxlFstHK6wsw5s4P//HU/fjjqsYgH6dVKcHeQXsOkIbEcKqjG4ZYZEh9CoE6NBBwsqOZMpQWDTsPYPpF8d7gYm9ONCkhOCOXJGwexIuMkYYFaNueUoFWruPua3n7Nwhuj/u9/WXouK7fmYXe6GX1FBEMTw1ifdZZpIxJ47gLnaquxHUlL12K3cM8Juhfep9cSo1Xx29c3Da/4/ShW78nns12nld5wFrtL6Z6rUUkMjg/B6ZY5XWEmITyQsEAtcycNYEXGScpqrLjcakKAAK2aIJ2aHoEBDI4PxWJ3kn/OwkvTUoCmXRCXa2HKzsbEiRNp7tnv448/bnDsfM+KXuWpOdasWXPeMV2FBVOSeX59Nn2jgykxWi/4y60x18/qPfl8l13MrrwKls8YyQfb8lh3wONWf2laCuuzCjHbnBj0GmZf15e40ABG9grnX5kFjOwVzuo9+WzOKcXllpWq/N59wOvGsthdmGxOymqsjL4ikrQhcby84YiyJ1Ra7FjsLnKLa7jvv/agUUn0iw3myoRQLDYnLrdMj/BAZo7pxWvf56KSIPN0pWJtOVRYTZXFgcXmJD2nlAqTDbfssXarJDhZauLOf+zEYnchASdKTQzrGc6eU+dwy/DWpuOoVRLHS00E6zWM6xdFoE5NsF5D5ulKcoprcLtlTpaakGUZnUZNv9ggzDYXxlonGw4W4QZkGVx18z/3VTblJhvJPUIZ1jOcU+Vm9tfJ7P27NaWomG1OVm3LY/Z1fZk5JolSo42jxUYWTElWyqucz4riVUar6pJpLqStVXfYL4V7TtApqb/oZ45J4pq+UZhtTkqMVspqbGzNLSNAq6qLXfJsYuEBWqKDdfSODGRYz3BGJoUTEqBlTJ9Irh8Yw+AeoSyfMZLfDE9k6W1DGRQfwtLbhnLr8ARempZCXrmJnGIj1w+MISUxDGjePSHoeLZu3cpvfvMbEhISkCSJr776qtnxRUVF3HXXXQwaNAiVSsW8efMaHffll1+SnJyMXq8nOTmZdevWNRjz3nvv0adPHwICAhg1ahTbtm1rgzu69KQkhnH9wBgOFla1qtaQ1/XzVVah4uJJGxKHyeakuKqWRz7LZOfJCix2F6crLCzacIT1WWf5Kussq3fnszw9l2XpuSzffJxyk43lm49jtjmZNCSW3lEGiqtquX3FDkb2CidtSByD4j1Vm8f1jyI2RE/vqCDiQwN48n9/4r+2n+Kj7afYdKQEY62TYT3DsDndnCit4UiRkW8PFXEgvwpJkqi2OjlVbmJZuuf9nG44WWbmN29v565VO9l/upK80hpW7zlDaY0Nl4/CFBaoxemWPQ9reCxWPSMC+Z99Z3DXaR5uGRwuGZPVSXmNjfScUiTg2v7R2J1uQgM0qFSSkjUqI+N0uQkJ0CADDrdMeKCWfjFBRARq6R0VxO+u7olakqgweWIv+0QHYbG7lLpOizYc4b7/2sPKjJMsT/ckJXgVnX9lFrB6dz6rtuURFxrA4tuGsnbOeFISw5g+IpG+MUFc1z+6WTfd6j35VFrshBu0LS7H0J3cet3G0uR0OtmyZQsnT57krrvuIiQkhLNnzxIaGkpwcHBHiydohsbM+F6zuvcpNS40AAk8T6rHyymsrKXW4URCwqBTM+qKCPafriIyWEdpjY28cguFVWe47ape3DU2CbOPL39e2kDmpQ1kWXouJpuTA2eqlNdNZQm1RG7BhdFWa7Y92qjs3LmT3/3ud/ztb3/jP/7jP1i3bh133nkn27dvZ+zYsQD885//ZN68ebz33nuMHz+ef/zjH0yePJkjR46QlNQ1viCaKudxoXiv8WaKeV1QQXo1ZpuL0+csIMPg+BAGx4ciI9M3OpiDBVUUVVs5WlzDwcJqhiWGo9OoiA8NYN2BQpIiDbw0LYXZn+6j1Ghl+ebjrJ0zXrFCnzlnwWJ3YbE7OVVuBlAUlvwKC2qVpLRFurpPJOdMdpAkhsSHsPGIZz+wOWVsTo/VxOFyYXe5qK6F0pqG9ynhUZh6RgRSbLTidP1il1GrYPepczjdDW01XgXIYXPyxZ4zrNl7BhUQoNMQqtcQFxaARiUhSXgCwa1O1JLnDXuEB3BN3yjW7S/kzDkL/70zH7Pdhfmci9KaYvrFBKNVqzhVbva4D8tMVNc661x9VSxLz8Vsc1JpsaNVq7A5XJTX2FiWnuu3d3kV3xUZJzHZnA0y9Hz/1mab87wWKS/dzSLfLZSm06dPc/PNN5Ofn4/NZuOGG24gJCSEV199FavVyvvvv9/RInZ7LsbHXd98u3pPPmU1VspqPHVhVm3LI1iv4fQ5C+fMdspNnuNqCa4dGE15jY3DhUbMNieFlW5csowMWJ0yFWaP+Tkp0sCwxHBMdZaquNCABi4F36yYxu6lfjxFS+uwCBrSlmu2PdqoLFu2jBtuuIH58+cDnmDyjIwMli1bxurVqwF48803mTVrFg8++KByzffff8+KFStYsmRJi+XpSOqvveZi9nxfe6/1nvN+Mc5fexCzzYmprigjeNbT57tPk11YzeD4EAx6tbLuPrz/amVNrdqWxw/HSll621C2nSjHbHdxpMjI+qxCxvSJ5NtDRfSKNCixRttyy8gtMfl9eWtUvyhNOo3Ko9xUWzHbXRwqMNInOoiCSgvGWgd6tYTF51qVBHVtKZtExpNgUmK0YXd69hm1JOGSZexOGafL0aLfu1sGNxASoKF3lIG+0cFKLJfF5qTK4iAhIgCr3U1ucQ0nS80khAdQXQuRQTqMtR7lz6DTcLaqFqvDRU6xEY0EKpUKleQJUQgKUPPuDyf41eBYrhsQw66TFbjqMvk2HSmh1Ghl8W3DKDFaMduc9I8J5kSZif4xwWSersRsdyqfDd+/f5BeQ3pOCcE+mX2XC93CPTd37lxGjx5NZWUlgYGByvH/+I//YPPmzR0o2eXDxbQcmDkmidS+UZhsTrILqzHbnIQF6og0aLHVBWx/l13Mj8fL8Q1FcctgrHVQWFXLOYsdGbgiOohx/aI8T4TAnlPn2J9fxf8dLOJosZFdeRXK+9bPJvFu/Ok5JY3ei1fuRRuOkJ5TgoTnC0Gqm6s1bo3Llc6+Znfu3MmNN97od+ymm25ix44dANjtdjIzMxuMufHGG5UxbUl7tSOp7/b2pf46rZ/V+u/sogaf+WC9hiC9hmD9L8/jMSH6OqXLxreHiliz5wz9Y4L9CkimJIaRebqS4morz649BEC/6CAMWrUnM7a4Bq3KU6T2g215fL47nxOlHoXJa/3RqVUE6jTesEYcTjcWuwuNSkKnVqGR4HiJkepaByXVVqpqf6mxJOFRfnxJSQjBoFOTGK5Hr/E/Z3O6FTddaIAGrcpjaTLU3bdGJfl9ueo1EoFaFUE6Fb4zGWsdhAVq+f5wMUarg3KzjTOVVmSgyuygutaO3SVT63BRbrJhd7qZMiye6JAAArWe5tBXRAfRLzYEdV3Xg6uviCBY70l4OXC6GodL5lBBNcF6DU63zIDYYDQqFTanm4OF1Yo77793nWbHyQpOlJrYV9fP02xzKQ+Vvp8H32zCtvhcdqV2O93C0rR9+3Z+/PFHdDqd3/HevXtTWCh6h10KWtNywLvgZo5JQsbjettwsIiwQC3XDYhWgjABqmsdOJwuJMnzoXXIoFWDw+VGq1aBjPJ0FWHQoZLqZUjJMkmRBorrYi1KjFal/pOvHNCwLlRjcvumG/sGrAtaRmdfs8XFxcTF+deziYuLo7i4GIDy8nJcLlezYxqjtW1U2jqY1tdqEFxnNQiqZzWob4lNGxLH1twyduedo9buJDpE79c8e/WefKaNSGw0ecN77dFiI7V2N7tPnVMsTOuzCusy1PrwxsZchvYMY1deBdf0iyK7sJpjxTXUWB3oNGpAZufJCmRZJjTQ81AVE6zjbLWVXw2OobCylsNnPb/TAJ2asX0i2Xa8nEFRBlISwziQX8XR4l/8bhqVR5mxOd246rnVTpVbsDvdVFmc2Jz+57wKU59oAxIS1VbPPuV0yWjqFChZBkkGlQoGxIXQLyaYjYeL0WtVWB0ek5bd5eb7w54HMI1a4lBBNeBGq5bQqCTskoRKkpEksDncWJ1u/pFxip4RgcSG6Lmqd4RfZt+pMjO5JSYlQzgmREeN1cnS24YyuIcnI2zmmCSOFhl57qts+scE83XWWc6Z7bhlmZAANTqNiidvHMinO0+Tf87C+qxCUhLDGtTr8oY0tMXnsj2Dxds6jKJbKE1ut7vRtgsFBQWEhIR0gESXH/X91s19UBtbcBabE2OtgwCN5/nMZHMqGR3bj5dTUm3FaznXaiQitJ44gHKTnXNmOzqNCpAprKylwmxHWzdPXGgAiRGBDEsMw6DXcKLMpLyn9wshPadEyfJJSQxTjjcmd/3Cm15l63IzUV8sXWHN1i9L4A3WvdAxvrS2jcrFxBv50lhBVt+5fdetb3C39/8FlbU4XG6C9BoWTElW1kj9StW+847sFc7Dn2WiUUnEhARQVGVlUFywUlU7r8wTi9QzIpAArZroIB3JPUL9youcKjPTJyYIs93F0eIa1BIkhgeS2s9jod6cU0qvSANJkQZOlplwuNwkRRqostipsTo4WwWnys1EBf9SWFQC9BoVapUKt+zGG56kkkAlSUQHaSk3OwgP1GC2//JZ1aolHC4Ztwz552px1F2o16hwuV043fjFNQXrNZwsNVFrd2Kv8//pNSqcLjfuunFqlSfe645RPXn7/52gymLHaPVYwoID1ATrtagkKKq2EqxXU13rYP7kwUwYFKv8XXtFGjhWXIPTJhMdrGNMn0i/zET4RSFZvSefIL2a/HMWRiaFk3m6kqggHUN6hLLjZAXZZ41cVVdc03snjcUmNfXZuVDlpK0+343R1gpZt1CabrjhBpYtW8bKlSsBz0ZmMpl44YUXuOWWWzpYussT34aTTdX88LXcPL8+mxC9Br1WjcPlZtOREo4V12Cp2yR98Q3crLY6cMueTSolIRSdRoWx1kGPMM9TldnuJG1IvOKTl/AoZNNHJPrJsCuvgkqLXXG5NVfh2NtmYWhimKgE3ko6+5qNj49vYDEqLS1VLEvR0dGo1epmxzRGa9uotFUwrfcL5Jo6C2v9Hmu+DzL1g7vThsQxdUQC++tiXdJzSpQMU18r7XfZxWzNLWNQfAjBeg3LNx+nrMaKXqPG5nDicHm+/L1f0Mk9QjBanYQGajlXUMX+/Co+eWCM8sW74vejWLUtDwnYmluGqy4136uYBOs1pA3xKA/TRiRitrn4/nAxucU1yt5RYbbXyfdLFJMMmO0uJFzoNCqcbhkJT8yQyyUTatAxbkAM32X/8jfW1QtocfgEgrvcMq5GYqJsTjdOl0yN1WMpd7pBI3uUruhgHUark5FJYeSVWfjffQVUmOyK2zEkwONSq6rr+6eSJEprPF0MXvv+mNLmJT2nhPQjJZjtLlQS5JWZqbW7uHV4gmIN9/4OH6wrN+CtfH74rBGTzUlSpIH8cxZcdb+HB6/rW/e79VjiGyvo2dRn50I/qxfy0H2htLVC1i1imt566y0yMjJITk7GarVy1113ccUVV1BYWMgrr7zS6nmXLFmCJEl+KcmyLLNw4UISEhIIDAxk4sSJHD582O86m83Go48+SnR0NEFBQUydOpWCgoJWy9EVkev9Wx9vMKf3Sba61o5Br2HpbUMZ3TsCY62D3JIajvkoTOp6D/CVtQ4l6FMChvUMZ8XvR3Hr8ARW/H4UL01LIUin4WiRkdve+5GjRUYyT1ey7kAhX2UVKmUE4kIDWD5jJJNTevDgdX2bLS8wc0wSEQYdVRaHqAR+EbTXmm0rUlNT2bRpk9+xjRs3Mm7cOAB0Oh2jRo1qMGbTpk3KmMbQ6/WEhob6/VxKvLEos30+577xJL7p4d4vMoPeEztj0KuZfV1fruodwaikCMx1MYjL6irneytVhxu0nK6w8HXWWdZnnWVwfCgjkyJ4adqVaNSeuSotDnafOkdZjY0dJ89xqszMrpMVON1wvKSGJd/mKBXK40IDCNZr+OFoKQWVtejUKpIiDYxMCmfnyQr+Z+8Zvv6piB+OemIRY0P1mG0OGtFfFCQgMeKXDgN2p5vYED1XJoYSHqglQKemqNpKdqERY+0vwd12N9jrFCUJMOgkIgK1BOnUeAoG/EKAVoVWJXFNn0iG9AglRK/GUBdz5a573xqbE5DJLqzxuAclUKk8G11wgBqXW8bhcOFwySSEBRAZpCNQqyJA45HvQH4VizYcIW1IHH2ig4gO1qGSJGrtLkprbH7xSN6/x+o9+cqed+2AaEb3jiC5RyiD4kOw2F0MiAtmWl01c6/F0TeWs6nYTd/Y1IuNTbqQGNnz0dYlY7qFpSkhIYGsrCzWrFlDZmYmbrebWbNmcffdd/sFmV4Ie/fuZeXKlQ2adL766qu8+eabfPzxxwwcOJBFixZxww03cOzYMcWtMG/ePL755hvWrFlDVFQUTzzxBLfeeiuZmZmo6zaN7s70EYlkF1YrFp36rN6Tz/qsswBMG5FATEgAZTWe+iw5RTXYXTIOlwtNnSkcPDECARoVblnG6ZbxDUHQaVRKeq03CDU9p4SCyloOFVbjlmUeXX0AtUrC5nRT34HS0id572YjSg1cHG25Zk0mEydOnFBee9uoREZGkpSUxPz58yksLOTTTz9Vxnhbrvi2UdHpdEo177lz53L99dfzyiuvMG3aNNavX096ejrbt29X5nj88ce55557GD16NKmpqaxcuZL8/Hwefvjhi/jNtC++n3Pv07w3CxQaZtCBpxp2sE+c0q68CoL1GsprbKzecwatSuJUuZkSo5UFU5KVQpYmW11JEL1aWTPxYZ51HhKgYWhiGOk5JVgdLiprPQ22waNMZBwro9rqYO7q/cSEBjDj6l6U1tiwO13otRpKjFY255RSY3Uo69nm1CqZegadBqvTkyGnUqmodfi7ghMjAggP1FFU6XH76zQq0obEYtBrFGv0tweLyCky0kgFAUVOCRV3jO7JtBGJ/Pb9nTjcLr8BWo2KcIOOE2VmiqprFUuUd08L1KgJ0KnRa1TEhwWwYEoyn+8+zZZjZZwz25V706shzKBDq/FYxawOFy63TGSQjj7RQXyVVYjT7YnbvLa/gW3Hy7HYnXy++zRLbhumxJQlRRqUhBtvMsuJMpOiKHutUV9lFSqfiaZ67TX22WqrrLr2dNddLKKNSiOYTCauuuoq3nvvPRYtWsSIESNYtmwZsiyTkJDAvHnzeOaZZwCPVSkuLo5XXnmFP/7xj1RXVxMTE8N///d/87vf/Q6As2fP0qtXL7799ltuuumm875/Z2mt0Brqb8S+/eR8lQyvpclb7+Oc2e7pGef2FHdzyR7Lkk6jxu50KVV4wfOE5zVf6zQSA2JD0Gk8dUq8AaN3jU1i+ohEnl+fTWiAhn2nKwkJ0ALwq0Ex3DW2t98G4Gu6vlwUoa78OfOlPdqoAPzrX/9iwYIF5OXl0a9fP15++WVuu+02v2vee+89Xn31VYqKikhJSeGtt97i+uuvb7HsHfk38LpTUvtGEVTnhqnvfqmP181jsbn44VgpJUYrapVEdLCeSoud5B6hXD8wxq9Vx3fZxUoNopTEMO6uW3tet/yB/CpkIFCrIiRAi8PlRq2SqDDZ0WtV2BxuAnVqIg1aqmodRAXpKKyy4nbL6DQSV0QHYdBpeGlaCl9lFfL5rtPYXW40KomwQB0GrYqCKisataQEYBt0arQqCYvdRd+YIEb1juBocQ3VtXbCAnUMjg/xhBfUVfr27jnhBi1BejWFlVZCAzVMGdqDuXVlUj768WdqrA40Ks+DXlKUgVq7i54RgRhrHUpcVFG1lR5hekBCp4aoYE8nAoNezXX9o1mRcZIZV/di8bdHOWe2o1ZJDIwLoV9MEPnnLMydNIDvD5dwsMBToNPhciuJM2U1VmJCAjDbXOQUGRnWM8yvFVSwXkOVxeFJrHG5uSE5TonV9P69fD8TF/pg2JVr111WbVQ++eQToqOjmTJlCgBPP/00K1euJDk5mdWrV9O7d+8Lmu9Pf/oTU6ZMIS0tjUWLFinHT506RXFxsV+asV6vZ8KECezYsYM//vGPZGZm4nA4/MYkJCSQkpLCjh07GlWaWptR0xnxmlVTfWImfINEvcrOg9f15bkpySxLz+WzXacVP75a8qTQFlVbcbrc2J0u1CoJV92TmU6jQi1BrcONTi2hUamICtah16o5VlyDSpJAlpUyAJY6M3VcqB6bU/ak4oYGKCZnL19nncUtyxwqrPbrUSVoH9pyzbZHGxWAO+64gzvuuKPZMXPmzGHOnDnnnaujaOpLzDd71Pug0JKYFK+rbFdeBb8aFMvRYiOD4kO4+cp4VmScVOoNeeeYOSaJrbllHCyo9vR+1GtISQwjJTGM+WsPcqTISGiAJ5bxtTuGMbhHKKv35DOyV3hduyMbJ8vMuNwyRqsTnVpFWV2dNq1GRWiglquSIrlrrMeNZLF5HrDcbjAEaDBZHRitnsDrG5LjOFFqorTGhlYtUWVxoFbBkB6h5JWbOWe219WBc3DkrNET1A8kRQZgsrupMNmpsTpJDA+kvMaO2eZSHuRKjVb0GhU2teSpn6RWMa5fFMF6jVLH7cHr+jL93R/rrpBYde9oHv4sE2Otg4MFVZwsM7F6dz5Ot5uCylpCAjSoVRK/GhSLQa/m6zrL/IEzVcSG6j0Vyt0yA+KClZpY3vYmI5PCCdKrlX50vtaiRXXNgm1OdwOLUP0MuQuluxWybIxuoTQtXryYFStWAJ76Ku+88w7Lli3j//7v//jzn//M2rVrWzzXmjVr2L9/P3v37m1wzhv02Viasbe5Z3FxMTqdjoiIiAZjmkpFbm1GTWeksUXnGyS67kAhtXYXZTU28s9Z0GtVVNXVWAII1KkJ1HqeAmVZ8sQb+ARbhgdq+cstg3l+/WFPG4RaB9uOl6NWSbhlmaggPT0jApk2IpGYED1bc8soMVqJDQnipWkpDczLvrLtP11JpcXO6j353X7hdzRtuWa3bt3Ka6+9RmZmJkVFRaxbt47p06c3e01GRgaPP/44hw8fJiEhgaefftrPrTZx4kQyMjIaXHfLLbewYcMGABYuXNhg3Z6v5MClpqnMIa+bzTdLtKUukaa+WCcMivWLVfQWkb2qdwSnys0EaNV+TWWPFddgc7iRJIk/jE1SrgeUdkfL0nMx6NTIMtQ6nIoVCCSOFhv5udzMV1mFHC02Yne5uaZvFJFBOkprrHVNuiWuiArk2gExTB+RyPqsQkw2p5JkYnV6qngbdGosdhd2pwudRo21LstNJcH4/rHIyPzvvgI0KkiMCORYSQ1Ot8zmurYo67POotOoSE4IY1B8CBIQpPe0QjlUWK38npfeNpTnvsrmyRsHsmjDEfQaFdEhesw2Jzanu84iJzH7uj78O7uYSoud2FBPaQeLzcnR4hrShsQRE6Kvc3/6W8e9rlG57v+NBWwvnzHSz7LuS2uUnq5sXWoN3UJpOnPmDP379wfgq6++4o477uChhx5i/PjxTJw48YLmmTt3Lhs3biQgoOk//oWmGZ9vTGszajojTS06s82JxeakR2gAxUarEgTqcvsHT1rtLgrOWTBanX7xTOCpqTIyKZwPtp3yxAoEaDDbnIToNVzdN5KiKiuy7OkF5a39Yne6UakkruodoTzhevGVc0FdV3PfcgKC9qOt1ixceBuVU6dOccsttzB79mw+++wzfvzxR+bMmUNMTIxy/dq1a7Hb7co1FRUVDB8+nN/+9rd+c1155ZWkp6crrztbzGJTilBjxy8krq9+XJRvZfD6cS2+MVG+X6ovTUvh+fXZDIoP8asy/u/sIrbmlgGe7NfJKT0adfFnHCvlT1/sR6uWlBps00ckMn1EIos2HCEsUMv24+VclRTBgjqr9vqss7hkmd6RBian9OBosafYZUyInkCtmgqzDXtdqr9KgrAArRIAH6z37Dc/HCvD5fJYoRwuN0eLawjUqekRFqDUTfIqq8MSw9CpVZQarWQXVnPgTBVfPjJO6d8WE6Jn+YyRlNXYeH59NgWVtVTX2vl3drGi3JhtHnliQwM4WBeLNC9toJ8C6vu3OV9cUVxoQKPXtpbu1pD3fHQLpSk4OJiKigqSkpLYuHEjf/7znwEICAigtra2xfNkZmZSWlrKqFGjlGMul4utW7fyzjvvcOzYMcBjTerRo4cyxjfNOD4+HrvdTmVlpZ+1qbS0tMmsGr1ej16vb/Rcd8BbwTdQp+bG5DiCyzVMTonn/Yw8YoJ1ZBd63JFuYEBcMCfLPGnBsltGJXkqf0t4GmTuO11JbV1swE3JcYQZasg/ZyE6SI+x1kFZjY2YED0yv7jcBsQGKwXgmuNyMC13FtpqzcKFt1F5//33SUpKYtmyZQAMGTKEffv28frrrytKU2RkpN81a9aswWAwNFCaNBoN8fHxFyTvpaSpz3Rjx1tjMfAtweG1bNRXyJqSISXRE2/jizcV/kSpCYD+sf6Vw72ZfjPHJLF883FqHS5iQwKIDtErNdjmpQ1kzUOpzF97EPglFtLbMy3zdCUWu4vYUD1z00Yp91xWY+PhzzJxudyY7S5emnYlP1dYlPd/8Lq+zF1zAL1aIi4sgLF9IokO0TN9RKJfWyWvggieh8WCyloKKmvJKzdjqlOARvYK51+ZBfxlcj9F2Vw7ZzzZdRW6vTWwfAuPtsYSeCnozEHb7UG3UJpuuOEGHnzwQUaOHElubq4SJ3H48GGuuOKKFs8zadIkDh065HfsD3/4A4MHD+aZZ56hb9++xMfHs2nTJkaOHAl42ilkZGQoadKjRo1Cq9WyadMm7rzzTsDTVT07O5tXX321De62a1FitJJ5uhKdSkIteSreWh0u3s/Iw+ZwkVduQaP2dPmW3ZBTbFKuDagzmQN19U3c6DWeJzqNyhOeOSg+hILKWo4WGzHbncqTmxdf83VzvbMEl5a2WrOtoakWKR9++CEOhwOtVtvgmg8//JAZM2YQFBTkd/z48eMkJCSg1+sZO3Ysixcvpm/fphX0zhK/2JiC1BqLgW+9H69b+2IePrzZqU0lZvjKOCg+hGPFNUwcFKNk63pT7MG/pYtvxXKzzcXRYqPiMvPKGhcaoFiBGtsXVu/Jp8riID48sEHcY0pimOJaLDXaWLUtz+9BTQZFuZo5Jom5aw5QbrKxIuOkUqDSO8+ah1IBlH5w19R1J2iNJfBScLk9bHYLpendd99lwYIFnDlzhi+//JKoqCjAYzmaOXNmi+cJCQkhJSXF71hQUBBRUVHK8Xnz5rF48WIGDBjAgAEDWLx4MQaDgbvuuguAsLAwZs2axRNPPEFUVBSRkZE8+eSTDB06lLS0tDa6467D6j35VNfacQO1Dk+hysggHTaHS6l4G6BVMbZPFBm55X7XWh0uEsIDqLW7GX1FhBIHVVTtKVJZaSlh2ogE7hrrqS3zVVYhElBWYyM9p8SvEq5XFt/g78vJpNzZaKs12xqaapHidDopLy/3syID7Nmzh+zsbD788EO/42PHjuXTTz9l4MCBlJSUsGjRIsaNG8fhw4eV+6lPZ4lfbExBao3FoH4Jjsao3+j6fA8qzbmPGrNieV133j6SXhf8g9f1VaxMH2zLY2dehV8Fct+xvu/d1H7QWCxXfeUzWK9RAra97rHn6rn+vffntSg1xeo9+exsojuBoOPoFkpTeHg477zzToPj7bE5Pf3009TW1jJnzhwqKysZO3YsGzdu9Gv98NZbb6HRaLjzzjupra1l0qRJfPzxx50u3qE9qL85eLNnKs0OLA4XTrdMjc2BzeFWNjSb002YQcfAuGBOV3j6PbnxVM4trPQ8vR0+W43dKTOqdwSBWjU5xUZ0ahXT6upALdpwhL7RwRwsrOJQYbViBm8qM6T+McGl5VKu2cZoLC6xsePgsTKlpKQwZswYv+O+LsGhQ4eSmppKv379+OSTT/xiFH3pLPGLFxPTVJ/zXedV0HblVTS6Li/mvbwKk9fCVP9+vO4tbwV03153vmNb4pps7D7rK59eF2D9+euP87UoNcXl5vbqKnRZpengwYOkpKSgUqk4ePBgs2PrF6i8EHxru4BnU124cCELFy5s8pqAgADefvtt3n777Va/b1fFd3PwbmiD61xogYDV4abW7l+r1y3D94eL0WvUDIgLBiTyz1lwujxdymWgoE55OlhQza3DerDxSC2BOjXpOSVKSrPJ6iQtOa5BETbfDdF30xMWpkvLpVqz56OpFikajaaBhchisbBmzRpeeuml884bFBTE0KFDOX78eJNjOkv84qV0qbS0OGJraMxi5rveG7MO1bcuNTVPS2jM8tVY26jWWvHEHtX56LJK04gRIyguLiY2NpYRI0YgSZJf7RXva0mSGm0MKmgbGrMsgSfQ8Tdvb8dYa2fCoFj6xgSh16j48UQ5eq2aWrvLr9Ku1eHG5nCTW+ygZ2QQBp2aZ25OZsuxMnacrEClgpJqG0N7hlFWY8PhdJMUGcjMMUn8XG7mUGE1/WODlU3Gd2O83LI7OiudZc2mpqbyzTff+B3buHEjo0ePbhDP9D//8z/YbDZ+//vfn3dem81GTk4O1113XZvK29Xx/fJvTGG5GBpTRuqv95as+dZadTprnJGg/eiyStOpU6eIiYlR/i/oGOpvUF7F6fYVOyirsSED24+Xo9Oo0Ko9PxpJIsKg45z5l/pMeo0Ku9NTCfxUmRk38Pbm4/xmRCLzbxmiNACODtLzw7FS3IBBpyEuNICYED0RBh0xIY0/wbdkQ7zcao10BO21Zi+0jcrDDz/MO++8w+OPP87s2bPZuXMnH374IatXr24w94cffsj06dMbjVF68skn+c1vfkNSUhKlpaUsWrQIo9HIfffd12LZvUpjVy5o25EEAg+MiQfsGI2eEhG3Dg7HajZx6+DwFv9eG5tHcHnh/aycr/Btl1WafCsGX2jFb0Hb4Wt693bCXrThCGpJJjxQi8nuxCW7qbK40KggIsij2FSY7aglcMkwIimMn8ssSnE3t+QpaFlQZeWzXafZmlvG3EkDOFToqSpsqKuJ8tI0T3D+g9f19UvJrU9LnvK8yp+3eq9Qntqe9lqz+/bt82uj4o0Z8rZRKSoqIj//l8afffr04dtvv+XPf/4z7777LgkJCfz9739vUOMpNzeX7du3s3Hjxkbft6CggJkzZ1JeXk5MTAzXXHMNu3btuqB7q6nxNKTuqnXZOjPzO1oAQZekpqaGsLCmLaLdpvfcyZMnWbZsGTk5OUiSxJAhQ5g7dy79+vXraNEumM7UE6y5zBdf68yqbXmszSzwKD5qFf1iPKnZh88akWVPETgAtUpiXP8ojpeYcLjc1FidhAVqFatUgEZFkF7DObOd8EAtdpcbnVpFUIAndfiqpAjyyk0smJLcpqZ+772YbU4lY6W7m9M7+nPWndZsa3G73Zw9e5aQkJDzFsjtbniD4M+cOdPh+1x3QfxOW48sy9TU1JCQkIBKpWpyXJe1NPny/fffM3XqVEaMGMH48eORZZkdO3Zw5ZVX8s0333DDDTd0tIhdluYyX7wuM3NdOf8amxOHS0YluZR+VE/96yCBGgmtRs2ZSgt2p8zhQiNqlcS1/aM5WlzDidIapSddYkQgVoenGvjAHsH0iw6ua6TpINzgqc7rm1rcVm413+J5zVmtBG2DWLMeVCoVPXv27GgxOpTQ0FDxBd/GiN9p62jOwuSlWyhNzz77LH/+859ZunRpg+PPPPPMZbMBtwfNZb7IPv9e1z+a9VlnqbU7qXW4qbW72H6inEqLnXK3p1GuXqPG7nTilmVwe/rMFVTW4nSDViXx29G9OFpsJK/MjAzsP13F0MRwRvWOQAa/YnHmut5WTQV5N9eotDklSwRsXhrEmhUIBF2RbqE05eTk8D//8z8Njj/wwANKqwRB62gq88Vb/XbaiASlvUB1rQO3LON0y+w4WcGkIbGE6DXYnJ6mnHqNCrvLTa3DRWJ4IN/8VITb7UYCfj0klsW3DSW7sJq5q/dTZLQx+ooI9p+u5JzJhs0lY7G5mJs2oEWtBRpTprILq3n4s0z0GpXfccGlR6xZgUDQFekWSlNMTAxZWVkMGDDA73hWVhaxsbFNXCVoKY21HzHZnGw7XkaQToNMHjOu7sWRs0YcLhdOF1TXOqi1u7giOogKk43CKivX9I2lsK4HU1G1FYvdhU6tIjJIR1KkAfAoZr8eEsf6rLOYrE7MdifnLA7MdhdfZRUqHb/hl9orjSk/aUPilC7uXhZtOKL0phPut45FrFmBXq/nhRde6BR1q7oL4nfa/nQLpWn27Nk89NBD5OXlMW7cOCRJYvv27bzyyis88cQTHS1el6ex9iOpfaMI0mk4WmTk9DkL2YXVJIQHcs5sx+a0KdYmu9NFVa0nFupgQTUTB8VQWmNjRFI4hwqqGdYzjKRIA9NGJCqNOL1uv16RBkqMVh6Z0I9Pd55mcHxos4qSr3LnzYTzbZXg27pAZMZ1LGLNCvR6fbNFggUXjvidtj/dQmn661//SkhICG+88Qbz53sSTRMSEli4cCGPPfZYB0vX9Wmq/YhMHvnnLCRFGlgwJZmvsgrZfrycshobblmm0mQDlYQEqCRwuWW+zjpLr8hA7h6TxPKa42SeriRQq2b2p/uw2J2kHymhf2wwPSMCCdJ5gr5/rrCw4veebuTNUb8aeX2ZW9K6QHBpEGtWIBB0RbpNyQEv3ronvr3guhodnQoOjbvkGguqXrUtD4vNBcgcLKjmZJkJq09fOb1GhdPlVqp/y3gUqLjQAKwOl6fvXKCW0hobsiwToFUjAUF6DdNGJBCk1yi1nyotdian9GjSytRUZ/T699TSxqHdnc7wOYPusWYFAsHlQbewNPkiNt62oTGXHPgHT/t29TbbnLhkGadLRqeRsDtl1HWlLlz11XIZKi12+scEM6xnGBVmOwfyq7gqKZzIIB0yng7hXuVnWXouVRYHEQZdk7FIq/fkKzFMTSlCbdk4VNB2iDUrEAi6Ct1CaSopKeHJJ59k8+bNlJaWNiiDLnrPXTi+7q2yGpuikNS3QJlsTq5KCmd33jksDhcSMsgQoFMTFqDBZHOhkmTsLpDdMhq1REigFgkY1jOcvHITJ0pNqCSJwT1CG2266Q3qbi4WqSWtUtqzcajgwhBrViAQdEW6hdJ0//33k5+fz1//+ld69Ohx2VXWbW98g6pLjTa+OlDA5pwShiaGs/FIMVaHG7Pdie/3nsrlwqKSCDdoMdaCjBubW0YGbkyOI0ivYf/pSipMNrRqFb8aFMPMMUmKsmSyOdl+vJxdeRUMTQxrENTdGtqzcajgwhBrtvuzdetWXnvtNTIzMykqKmLdunVMnz692WsyMjJ4/PHHOXz4MAkJCTz99NM8/PDDl0bgLsCF/k7Xrl3LihUryMrKwmazceWVV7Jw4UJuuummSyd0N6NbKE3bt29n27ZtjBgxoqNF6Tb4uudG9grnX5kFXBFl4J97z2BxuMkpqsHudFNV13RXpwK7G0Vx0mgk1JKEyy0TE6JDo1ZTabYzrl8U89IGsnpPPha7C5cMBp2KvHIz8EuV8bQhcYQbtFRa7JhsTnRqFaVGGyVGa6PWpqaKXAo6J2LNdn/MZjPDhw/nD3/4Q4O+fo1x6tQpbrnlFmbPns1nn33Gjz/+yJw5c4iJiWnR9ZcDF/o73bp1KzfccAOLFy8mPDycjz76iN/85jfs3r2bkSNHXgKJux/dQmnq1avXeTsTCy4MX3fXI59lUlRdy1/WZXv6wOnUngBvt4zL440jPFAHMljsLqwOFyF6LWqVxK8GxRIbqld6ul0RHURcaIAy/8he4Tz3VTZFVbU88lkmdqcbtyxj0KtZPmOk0g+uoLKWgspaYkP1jSpFLXHPXQht1Z5F0DhizXZ/Jk+ezOTJk1s8/v333ycpKUkpbjpkyBD27dvH66+/LpSmOi70d1q/UOzixYtZv34933zzjVCaWknTXem6EMuWLePZZ5/l559/7mhRug1exWb1nnx6RRpQSRJOl8cNd0NyHLeP6kmN1alkybldMjddGc/7v7+KsX0j+eutQ+gZEYiMTNqQOGQgtW+UotR4XWUHzlQRrNfgkuHncjMny80kRRqYXRcE7h0/aUgs00YkKK9LjFaWpeeSXVjNsvRcwGNhaisFx2u5Ol+ZA0HrEGtWUJ+dO3dy4403+h276aab2LdvHw6Ho4Ok6l643W5qamqIjIzsaFG6LN3C0vS73/0Oi8VCv379MBgMaLVav/Pnzp3rIMk6N/WtKfVfr96Tz7+ziwjSabhjVE+yC6spqrZi0GnIPF2J1eFEq5ZwumSqrA4OFlQRpFfTNzqID7adIq/czOkKC6fKzZhsTq7pG9XAeuMbnP38+mxOlZn9ZFy9J5+ddUHovham9s6Ea2vLlcAfsWYF9SkuLiYuLs7vWFxcHE6nk/Lycnr06NFBknUf3njjDcxmM3feeWdHi9Jl6RZKk+hV1TrqxwHVLw7piSVSKwUsHS4ZWYbM/EpKjVZqHW5C9Bo0ahUmqwNJklhfV37ADUiyTO8oT+HL9JwSzDYn32UXsyuvguUzRhIXGuAXnL3i96OYu+YA5TU25q45wPIZI5k5JgmzzYmprkFvY8pWe2TCica97YtYs4LGqJ8Q4HXhikSBi2f16tUsXLiQ9evXi1ZFF0G3UJruu+++jhahS1LfmuKriMxdc4BKi50gnQaVJLH71DmKqz1Nes02Bxq1ml8PjqVXpIHpIxJZn1VIWY0NGZn+MVHIwJlzFuZOGuCn1BwqrKbSYmf1nvwGSklcaADLZ4xU3ts7JqiuQW+wXqNcIzLhujZizQrqEx8fT3Fxsd+x0tJSNBoNUVFRHSRV9+Cf//wns2bN4n//939JS0vraHG6NN1CaRK0jvrWFO/rlzcc4USpiaRIAy9NSyE9p4QIg5al/z6GRgUOt4zF5qSsxsY/7hlNidHKocJqpd6St0nuyTITKzJO+rnPvMHdTVmGvIqT7xjhKhMIuj+pqal88803fsc2btzI6NGjG7hvBS1n9erVPPDAA6xevZopU6Z0tDhdHqE0CRrgaXUicVXvCFISw0hJDGPS6z9Q63ChkkCnUaFWSwyK91Ry/mBbHsdLTCSEBzK2b6SfclPffdYSt1dTytyFILLfBIKOxWQyceLECeX1qVOnyMrKIjIykqSkJObPn09hYSGffvopAA8//DDvvPMOjz/+OLNnz2bnzp18+OGHrF69uqNuodNxob/T1atXc++997J8+XKuueYaxZIXGBhIWJiw0LeGbpE9J2hbpo9IpGdEIBabixKjxyVXbLQBnr5x/WOD+e2ontw9tjfL0nMx2ZyoVRIpiaEE6zWU1dj4YFseJpuTmJBfSgQsS89V5vNmv3lftzUi+00g6Fj27dvHyJEjldT2xx9/nJEjR/L8888DUFRURH7+L+uzT58+fPvtt2zZsoURI0bwt7/9jb///e+i3IAPF/o7/cc//oHT6eRPf/oTPXr0UH7mzp3bIfJ3B7pdw97uQEc3Ul2WnssXu/NxyzL9Y4NZPmMkO0+W8/z6w4xICudwoZHeUQYGxYew8UgJ4YFaLHYXY/tEcqLMRLBeQ15dFtxdY5OYlzaQZem5pOeUKFlw9V+3NcLSdH46+nMmEAgEXY0u7Z5LSEhg2rRpTJ06lUmTJqHT6TpapC5DidHK8vRcjhbX8NK0FFISwxRFI21IHCabk/2nK/0CsqeP7MnLG46Q+XMl+ecsANTaXRgtDmQg/5yFtCFxpA2JY31WITL+8UgmmxNzXRZc/Til7MJqFm04woIpyW0S2C2y3zonYs0KBIKuTJe2NG3ZsoVvvvmGr7/+mpKSEm666SamTp3KlClTunTxrkthAViWnsuqrXnYnG5GXxHBmodSG1h/fJUo37ikVdvykIBpPllzJ0pNDOsZzty0AU1adpqzLs1YuZOsM1WM6BXuFwgurETtR0dYmrrrmhUIBJcHXVpp8uXw4cN8/fXXrF+/ngMHDpCamqo80fbr16+jxbsg2uvLzNdlBbA8PZdDhdWkJIZx99jeinVo9nV9ARSFadGGI5TV2IgJ0Sv1lerP6W2T0py7rTmXma+lKT2npF1ddwIPHe2e605rViAQXB50G6XJl5KSEr7++mu+/vprNm/eTN++fXnllVe6TLplW3yZlRitikXowbqWJI1ZerzHgvUaTDZng5ijYL2GKosDk81JkF7N5JQefoqMd9w1faMI1mvaxDok4pEuDR2tNPnS1desQCC4POiWSpMvFouF77//npCQkC5T1Kstvsy8wdzwSzB2Y8pIYy4435Yq3uP1z3tpSwVHKEuXls6kNPnSFdesQCC4POgWStPdd9/NhAkTmDhxIgMHdn13TntZmi4G3/mmjUhsVIG6WNo7o07gT0cqTd1tzQoEgsuDLp095yU4OJg333yThx9+mPj4eCZMmKBsyIMHD+5o8TqEuNAAFkxJBn6pidSUknO+xr3giW/6Ouss4GmFYqrrB9dWLjkQlb8vJ8SaFQgEXZFuYWnyUlxczJYtW9iyZQsZGRnk5uYSGxtLUVFRR4t2QbSlBaDEaFV6udWPR/Lia+GZOSaJRz7L5OdyM1dEB7Hi96MURaq+pclsc7LteDnhBq1fgLhws3UNOoN7rrusWYFAcHnQrSqCh4SEEBERQUREBOHh4Wg0GuLj4ztarHanueraq/fkU2VxEGHQNbDgZBdWc9t7P3K0yIhOrSJtSByr9+RzusJCjc3J6QqLUlHba7l6rq6O0ry0gTx4XV/CDVqllpPve4pq3IKWcLmuWUHX4f7772f69OkdLUabMHHiRObNm9fi8R9//DHh4eHtJk9XpFu455555hkyMjL46aefSElJ4frrr2f+/Plcf/31l8Uf3KukAH6WpBKjFZPNyXUDohuNa1q04QgHC6qRJIgw6JQ4JZPNicXmwqBXN+sqa6y5Lgg3m+D8XO5rVtAytmzZwsyZMzl79iySJHWIDMuXL6cbOWQEF0m3UJpee+01YmJieOGFF5g2bRpDhgzpaJEuKU0pKav35LOrrnYS0CCuacGUZJ5fn01SpIHoEL1yfbBew+zzBI/7uuDqu/xENW7B+bjc16ygZXz99ddMnTq1wxQmQDS2FfjRLdxzBw4c4LnnnmPPnj1cf/31xMfH87vf/Y4VK1aQk5PT0eK1O14lpb6SM3NMkhKn1JjLLCUxjLVzxrNsxkgWTEkmLjSgxa414YITXAyX+5q93Pjmm28IDw/H7XYDkJWVhSRJPPXUU8qYP/7xj8ycOdPvOq/SBGCz2XjssceIjY0lICCAa6+9lr179zb7vldccQWLFy/mgQceICQkhKSkJFauXOk35tChQ/z6178mMDCQqKgoHnroIUwmk3K+vnvuX//6F0OHDlXGp6WlYTablfMfffQRQ4YMISAggMGDB/Pee+81K+PEiRN59NFHmTdvHhEREcTFxbFy5UrMZjN/+MMfCAkJoV+/fvz73//2uy4jI4MxY8ag1+vp0aMHzz77LE6nUzlvNpu59957CQ4OpkePHrzxxhsN3ttut/P000+TmJhIUFAQY8eOZcuWLc3Ke9kjd0OysrLk+++/X9ZoNLJKpepocS6Y6upqGZCrq6vbbM7i6lr5rU3H5OLq2ks6TtB5aY/PWWvp6mtW0DxVVVWySqWS9+3bJ8uyLC9btkyOjo6Wr776amXMwIED5RUrViivs7Oz5aCgILm21rPHPPbYY3JCQoL87bffyocPH5bvu+8+OSIiQq6oqGjyfXv37i1HRkbK7777rnz8+HF5yZIlskqlknNycmRZlmWz2SwnJCTIt912m3zo0CF58+bNcp8+feT77rtPmeO+++6Tp02bJsuyLJ89e1bWaDTym2++KZ86dUo+ePCg/O6778o1NTWyLMvyypUr5R49eshffvmlnJeXJ3/55ZdyZGSk/PHHHzcp44QJE+SQkBD5b3/7m5ybmyv/7W9/k1UqlTx58mR55cqVcm5urvzII4/IUVFRstlslmVZlgsKCmSDwSDPmTNHzsnJkdetWydHR0fLL7zwgjLvI488Ivfs2VPeuHGjfPDgQfnWW2+Vg4OD5blz5ypj7rrrLnncuHHy1q1b5RMnTsivvfaarNfr5dzcXFmWZfmjjz6Sw8LCmpT9cqTbKE379++X33zzTXnq1KlyRESErFar5VGjRslPPvlkR4t2wXTkl5lQhi4fOlpp6k5rVnB+rrrqKvn111+XZVmWp0+fLr/88suyTqeTjUajXFRUJAOKMiPLsvzyyy/Lt912myzLsmwymWStVit//vnnynm73S4nJCTIr776apPv2bt3b/n3v/+98trtdsuxsbGKcrZy5Uo5IiJCNplMypgNGzbIKpVKLi4ulmXZX2nKzMyUAfnnn39u9P169eolf/HFF37H/va3v8mpqalNyjhhwgT52muvVV47nU45KChIvueee5Rj3t/Pzp07ZVmW5b/85S/yoEGDZLfbrYx599135eDgYNnlcsk1NTWyTqeT16xZo5yvqKiQAwMDFaXpxIkTsiRJcmFhoZ88kyZNkufPny/LslCaGqNbxDRFRERgMpkYPnw4EydOZPbs2Vx//fWdqspxV6GpoHKBoC0Ra/byY+LEiWzZsoXHH3+cbdu2sWjRIr788ku2b99OVVUVcXFxfjW61q9fz5w5cwA4efIkDoeD8ePHK+e1Wi1jxow5rzt32LBhyv8lSSI+Pp7S0lIAcnJyGD58OEFBQcqY8ePH43a7OXbsGHFxcX5zDR8+nEmTJjF06FBuuukmbrzxRu644w4iIiIoKyvjzJkzzJo1i9mzZyvXOJ3O88ZF+cqoVquJiopi6NChyjGvHL5yp6am+sV6jR8/HpPJREFBAZWVldjtdlJTU5XzkZGRDBo0SHm9f/9+ZFluUFzWZrMRFRXVrLyXM91Cafrv//5vseG2Ad5su9S+USLzTdCuiDV7+TFx4kQ+/PBDfvrpJ1QqFcnJyUyYMIGMjAwqKyuZMGGCMra4uJj9+/crvQfluuy1+gHhsiyfN0hcq9X6vZYkSYmtau76xo6r1Wo2bdrEjh072LhxI2+//TbPPfccu3fvxmAwALBq1SrGjh3b4LoLldH3mFeW5uT2/R3JLcj2c7vdqNVqMjMzG8gXHBx83usvV7pFIPitt94qNt82wJttF6TXiKKUgnZFrNnLj+uvv56amhqWLVvGhAkTkCSJCRMmKMVNfZWmr7/+mtTUVKKjowHo378/Op2O7du3K2McDgf79u27qMzL5ORksrKy/AK5f/zxR1QqVZPtfSRJYvz48bz44oscOHAAnU7HunXriIuLIzExkby8PPr37+/306dPn1bL2JTcO3bs8FOOduzYQUhICImJifTv3x+tVsuuXbuU85WVleTm5iqvR44cicvlorS0tIG8olZa03QLpamtWLFiBcOGDSM0NJTQ0FBSU1P9MhZkWWbhwoUkJCQQGBjIxIkTOXz4sN8cNpuNRx99lOjoaIKCgpg6dSoFBQWX+laapLlCmL7ZdgKBQNCWhIWFMWLECD777DMmTpwIeBSp/fv3k5ubqxwDj9I0bdo05XVQUBCPPPIITz31FN999x1Hjhxh9uzZWCwWZs2a1WqZ7r77bgICArjvvvvIzs7mhx9+4NFHH+Wee+5p4JoD2L17N4sXL2bfvn3k5+ezdu1aysrKFMVt4cKFLFmyhOXLl5Obm8uhQ4f46KOPePPNN1stY2PMmTOHM2fO8Oijj3L06FHWr1/PCy+8wOOPP45KpSI4OJhZs2bx1FNPsXnzZrKzs7n//vtRqX75yh84cCB333039957L2vXruXUqVPs3buXV155hW+//bZN5e1OCKXJh549e7J06VL27dvHvn37+PWvf820adMUxejVV1/lzTff5J133mHv3r3Ex8dzww03UFNTo8wxb9481q1bx5o1a9i+fTsmk4lbb70Vl8vVUbflR3OlApoqXSAQCARtwa9+9StcLpeiIEVERJCcnExMTIyieJjNZjZv3qyUGvCydOlSbr/9du655x6uuuoqTpw4wffff09ERESr5TEYDHz//fecO3eOq6++mjvuuINJkybxzjvvNDo+NDSUrVu3cssttzBw4EAWLFjAG2+8weTJkwF48MEH+eCDD/j4448ZOnQoEyZM4OOPP25zS1NiYiLffvste/bsYfjw4Tz88MPMmjWLBQsWKGNee+01rr/+eqZOnUpaWhrXXnsto0aN8pvno48+4t577+WJJ55g0KBBTJ06ld27d9OrV682lbdb0WEh6F2EiIgI+YMPPpDdbrccHx8vL126VDlntVrlsLAw+f3335dl2ZNWq9Vq/TIWCgsLZZVKJX/33Xctfs/mspp8s9tak+kmsuMEXjo6e04gaIwvv/xSHjJkSEeLIRA0irA0NYHL5WLNmjWYzWZSU1M5deoUxcXF3HjjjcoYvV7PhAkT2LFjBwCZmZk4HA6/MQkJCaSkpChjGsNms2E0Gv1+msLXUtSaApPCmiQQCDozwcHBvPLKKx0thkDQKN0ie64tOXToEKmpqVitVoKDg1m3bp0SdAc08HPHxcVx+vRpwJPxodPpGpiL4+LiKC4ubvI9lyxZwosvvtgi+RprmdJUDJJvq5O40IAGrwUCgaCz4fvQKRB0NoSlqR6DBg0iKyuLXbt28cgjj3Dfffdx5MgR5XxrUl7PN2b+/PlUV1crP2fOnGlyrK+l6HxWo/qWKNH6RCAQCASC1iMsTfXQ6XT0798fgNGjR7N3716WL1/OM888A3isST169FDGl5aWKtan+Ph47HY7lZWVftam0tJSxo0b1+R76vV69Hp9m99LfatUU419BQKBQCAQnB9haToPsixjs9no06cP8fHxbNq0STlnt9vJyMhQFKJRo0ah1Wr9xhQVFZGdnd2s0tRe1LdEiXgmgUAgEAhaj7A0+fCXv/yFyZMn06tXL2pqalizZg1btmzhu+++Q5Ik5s2bx+LFixkwYAADBgxg8eLFGAwG7rrrLsBTh2TWrFk88cQTREVFERkZyZNPPsnQoUNJS0vr4LsTCAQCgUBwMQilyYeSkhLuueceioqKCAsLY9iwYXz33XfccMMNADz99NPU1tYyZ84cKisrGTt2LBs3biQkJESZ46233kKj0XDnnXdSW1vLpEmT+Pjjj89bRl8gEAgEAkHnRpLlFjSpEVxSqqurCQ8P58yZM6LVhKDdMBqN9OrVi6qqqvM2FBUIBAKBsDR1SrwVxkVVVsGloKamRihNAoFA0AKEpakT4na7OXv2LCEhIectZ1Afr/Wgu1ipxP20H7IsU1NTQ0JCgl9PKoFAIBA0jrA0dUJUKhU9e/a8qDm8TYe7C+J+2gdhYRIIBIKWIx4vBQKBQCAQCFqAUJoEAoFAIBAIWoBQmroZer2eF154oV0qjHcE4n4EAoFA0FkQgeACgUAgEAgELUBYmgQCgUAgEAhagFCaBAKBQCAQCFqAUJoEAoFAIBAIWoBQmgQCgUAgEAhagFCaugArVqxg2LBhSkHE1NRU/v3vfyvnZVlm4cKFJCQkEBgYyMSJEzl8+LDfHDabjUcffZTo6GiCgoKYOnUqBQUFl/pWGrBkyRIkSWLevHnKsa50PwsXLkSSJL+f+Ph45XxXuheBQCAQNI9QmroAPXv2ZOnSpezbt499+/bx61//mmnTpilfvq+++ipvvvkm77zzDnv37iU+Pp4bbrhB6WEHMG/ePNatW8eaNWvYvn07JpOJW2+9FZfL1VG3xd69e1m5ciXDhg3zO97V7ufKK6+kqKhI+Tl06FCXvReBQCAQNIMs6JJERETIH3zwgex2u+X4+Hh56dKlyjmr1SqHhYXJ77//vizLslxVVSVrtVp5zZo1ypjCwkJZpVLJ33333SWXXZZluaamRh4wYIC8adMmecKECfLcuXNlWZa73P288MIL8vDhwxs919XuRSAQCATNIyxNXQyXy8WaNWswm82kpqZy6tQpiouLufHGG5Uxer2eCRMmsGPHDgAyMzNxOBx+YxISEkhJSVHGXGr+9Kc/MWXKFNLS0vyOd8X7OX78OAkJCfTp04cZM2aQl5cHdM17EQgEAkHTiIa9XYRDhw6RmpqK1WolODiYdevWkZycrHyxxsXF+Y2Pi4vj9OnTABQXF6PT6YiIiGgwpri4+NLcgA9r1qxh//797N27t8E5rzxd5X7Gjh3Lp59+ysCBAykpKWHRokWMGzeOw4cPd7l7EQgEAkHzCKWpizBo0CCysrKoqqriyy+/5L777iMjI0M5L0mS33hZlhscq09LxrQ1Z86cYe7cuWzcuJGAgIAmx3WV+5k8ebLy/6FDh5Kamkq/fv345JNPuOaaa4Cucy8CgUAgaB7hnusi6HQ6+vfvz+jRo1myZAnDhw9n+fLlSqZWfatEaWmpYuGIj4/HbrdTWVnZ5JhLRWZmJqWlpYwaNQqNRoNGoyEjI4O///3vaDQaRZ6ucj/1CQoKYujQoRw/frzL/W0EAoFA0DxCaeqiyLKMzWajT58+xMfHs2nTJuWc3W4nIyODcePGATBq1Ci0Wq3fmKKiIrKzs5Uxl4pJkyZx6NAhsrKylJ/Ro0dz9913k5WVRd++fbvU/dTHZrORk5NDjx49utzfRiAQCATnoQOD0AUtZP78+fLWrVvlU6dOyQcPHpT/8pe/yCqVSt64caMsy7K8dOlSOSwsTF67dq186NAheebMmXKPHj1ko9GozPHwww/LPXv2lNPT0+X9+/fLv/71r+Xhw4fLTqezo25LwTd7Tpa71v088cQT8pYtW+S8vDx5165d8q233iqHhITIP//8c5e7F4FAIBA0j4hp6gKUlJRwzz33UFRURFhYGMOGDeO7777jhhtuAODpp5+mtraWOXPmUFlZydixY9m4cSMhISHKHG+99RYajYY777yT2tpaJk2axMcff4xare6o22qSrnQ/BQUFzJw5k/LycmJiYrjmmmvYtWsXvXv37nL3IhAIBILmkWRZljtaCIFAIBAIBILOjohpEggEAoFAIGgBQmkSCAQCgUAgaAFCaRIIBAKBQCBoAUJpEggEAoFAIGgBQmkSCAQCgaANmDhxImvWrOloMQTtiFCaBAKBQCAQCFqAUJoEAoFAIBAIWoBQmgQCgUAgaAV79+5l2LBhhIaG8sc//hG3293RIgnaGaE0CboE999/P9OnT+9oMdqEiRMnMm/evBaP//jjjwkPD283eQQCwYVjt9u57bbbePTRR6moqCAlJYUdO3Z0tFiCdkYoTYLzsmXLFnr06EFHFo9fvnw5H3/8cYe9v0AgEPiyc+dO9Ho9s2fPRqvV8p//+Z/06NGjo8UStDOi95zgvHz99ddMnToVSZI6TIawsLAOe2+BQCCoT1FREb169VJeS5JEz549O1AiwaVAWJouI7755hvCw8MVv3tWVhaSJPHUU08pY/74xz8yc+ZMv+u8ShOAzWbjscceIzY2loCAAK699lr27t3b7PteccUVLF68mAceeICQkBCSkpJYuXKl35hDhw7x61//msDAQKKionjooYcwmUzK+fruuX/9618MHTpUGZ+WlobZbFbOf/TRRwwZMoSAgAAGDx7Me++916yMEydO5NFHH2XevHlEREQQFxfHypUrMZvN/OEPfyAkJIR+/frx73//2++6jIwMxowZg16vp0ePHjz77LM4nU7lvNls5t577yU4OJgePXrwxhtvNHhvu93O008/TWJiIkFBQYwdO5YtW7Y0K69AIOhYevToQUFBgd+x+q8F3Q+hNF1GXH/99dTU1HDgwAHA84UfHR1NRkaGMmbLli1MmDBBeX348GGKi4uZNGkSAE8//TRffvkln3zyCfv376d///7cdNNNnDt3rtn3fuONNxg9ejQHDhxgzpw5PPLIIxw9ehQAi8XCzTffTEREBHv37uV///d/SU9P5z//8z8bnauoqIiZM2fywAMPkJOTw5YtW7jtttsU9+GqVat47rnnePnll8nJyWHx4sX89a9/5ZNPPmlWxk8++YTo6Gj27NnDo48+yiOPPMJvf/tbxo0bx/79+7npppu45557sFgsABQWFnLLLbdw9dVX89NPP7FixQo+/PBDFi1apMz51FNP8cMPP7Bu3To2btzIli1byMzM9HvfP/zhD/z444+sWbOGgwcP8tvf/pabb76Z48ePNyuvQCDoOFJTU6mtreXDDz/E4XDw7rvvUlRU1NFiCdobWXBZcdVVV8mvv/66LMuyPH36dPnll1+WdTqdbDQa5aKiIhmQc3JylPEvv/yyfNttt8myLMsmk0nWarXy559/rpy32+1yQkKC/Oqrrzb5nr1795Z///vfK6/dbrccGxsrr1ixQpZlWV65cqUcEREhm0wmZcyGDRtklUolFxcXy7Isy/fdd588bdo0WZZlOTMzUwbkn3/+udH369Wrl/zFF1/4Hfvb3/4mp6amNinjhAkT5GuvvVZ57XQ65aCgIPmee+5Rjnl/Pzt37pRlWZb/8pe/yIMGDZLdbrcy5t1335WDg4Nll8sl19TUyDqdTl6zZo1yvqKiQg4MDJTnzp0ry7IsnzhxQpYkSS4sLPSTZ9KkSfL8+fNlWZbljz76SA4LC2tSdoFA0DHs2rVLvvLKK+WQkBD5oYcekq+77jp59erVHS2WoB0RMU2XGRMnTmTLli08/vjjbNu2jUWLFvHll1+yfft2qqqqiIuLY/Dgwcr49evXM2fOHABOnjyJw+Fg/PjxynmtVsuYMWPIyclp9n2HDRum/F+SJOLj4yktLQUgJyeH4cOHExQUpIwZP348brebY8eOERcX5zfX8OHDmTRpEkOHDuWmm27ixhtv5I477iAiIoKysjLOnDnDrFmzmD17tnKN0+k8b1yUr4xqtZqoqCiGDh2qHPPK4St3amqqX6zX+PHjMZlMFBQUUFlZid1uJzU1VTkfGRnJoEGDlNf79+9HlmUGDhzoJ4vNZiMqKqpZeQUCQccyduxYsrOzO1oMwSVEKE2XGRMnTuTDDz/kp59+QqVSkZyczIQJE8jIyKCystLPNVdcXMz+/fuZMmUKgOL+qh8QLsvyeYPEtVqt32tJkpTYquaub+y4Wq1m06ZN7Nixg40bN/L222/z3HPPsXv3bgwGA+Bx0Y0dO7bBdRcqo+8xryzNye37O5JbkG3odrtRq9VkZmY2kC84OPi81wsEAoHg0iFimi4zvHFNy5YtY8KECUiSxIQJE9iyZUuDeKavv/6a1NRUoqOjAejfvz86nY7t27crYxwOB/v27WPIkCGtlik5OZmsrCy/QO4ff/wRlUrVwALjRZIkxo8fz4svvsiBAwfQ6XSsW7eOuLg4EhMTycvLo3///n4/ffr0abWMTcm9Y8cOP+Vox44dhISEkJiYSP/+/dFqtezatUs5X1lZSW5urvJ65MiRuFwuSktLG8gbHx/fpvIKBAKB4OIQStNlRlhYGCNGjOCzzz5j4sSJgEeR2r9/P7m5ucox8ChN06ZNU14HBQXxyCOP8NRTT/Hdd99x5MgRZs+ejcViYdasWa2W6e677yYgIID77ruP7OxsfvjhBx599FHuueeeBq45gN27d7N48WL27dtHfn4+a9eupaysTFHcFi5cyJIlS1i+fDm5ubkcOnSIjz76iDfffLPVMjbGnDlzOHPmDI8++ihHjx5l/fr1vPDCCzz++OOoVCqCg4OZNWsWTz31FJs3byY7O5v7778fleqXZTdw4EDuvvtu7r33XtauXcupU6fYu3cvr7zyCt9++22byisQCASCi0O45y5DfvWrX7F//35FQYqIiCA5OZmzZ88qiofZbGbz5s289dZbftcuXboUt9vNPffcQ01NDaNHj+b7778nIiKi1fIYDAa+//575s6dy9VXX43BYOD2229vUskJDQ1l69atLFu2DKPRSO/evXnjjTeYPHkyAA8++CAGg4HXXnuNp59+mqCgIIYOHXpBVbhbQmJiIt9++y1PPfUUw4cPJzIyklmzZrFgwQJlzGuvvYbJZGLq1KmEhITwxBNPUF1d7TfPRx99xKJFi3jiiScoLCwkKiqK1NRUbrnlljaVVyAQCAQXhyS3JPBCcNmxdu1aFixYwJEjRzpaFIFAIBAIOgXCPSdolODgYF555ZWOFkMgEAgEgk6DsDQJBAKBQCAQtAAR0yQQCAQC3G43Z8+eJSQkpEP7TAouH2RZpqamhoSEBL8Emc6MUJoEAoFAwNmzZ/0a0AoEl4ozZ850mWbHQmkSCAQCASEhIYDnCyw0NLSDpRFcDhiNRnr16qV89roCQmkSCAQCgeKSCw0NFUqT4JLSldzBXcOJKBAIBAKBQNDBCKVJIBAIBAKBoAUIpUkgEAgEAkGbUmK0siw9lxKjtaNFaVNETJNAIBAIBII2ZfWefNJzSjDZnATrNcwck0RcaEBHi3XRCKVJIBAIBAJBmzJzTBIAZpuT9JwSAOalDexIkdoEoTQJBAKBQCBoMSVGK6v35DdrPYoLDWBe2kBKjFaC6ixN3QER0yQQCASXiCVLlnD11VcTEhJCbGws06dP59ixY35jZFlm4cKFJCQkEBgYyMSJEzl8+HCz865atYrrrruOiIgIIiIiSEtLY8+ePe15K4LLGK/rbfWe/POO9SpP3cE1B0JpEnQT/va3v9G7d29CQ0NJTU3l4MGDHS2SQNCAjIwM/vSnP7Fr1y42bdqE0+nkxhtvxGw2K2NeffVV3nzzTd555x327t1LfHw8N9xwAzU1NU3Ou2XLFmbOnMkPP/zAzp07SUpK4sYbb6SwsPBS3Jagm9DS4O2ZY5JIGxLXbaxHF4Jo2CvoFnz55Zdcf/31RERE8NJLL/H111+TlZXV0WIJBM1SVlZGbGwsGRkZXH/99ciyTEJCAvPmzeOZZ54BwGazERcXxyuvvMIf//jHFs3rcrmIiIjgnXfe4d57723RNUajkbCwMKqrq0Vxy8uUZem5pOeUkDYkTok/aokrrrV0xc+csDQJugW33347MTExaDQa/vKXv3Dw4EFMJlNHiyUQNEt1dTUAkZGRAJw6dYri4mJuvPFGZYxer2fChAns2LGjxfNaLBYcDocyr0DQEnwtSF6r0wfb8lrsirscEEqToFuwatUqrrzySsLCwoiPj0eWZSoqKjpaLIGgSWRZ5vHHH+faa68lJSUFgOLiYgDi4uL8xsbFxSnnWsKzzz5LYmIiaWlpTY6x2WwYjUa/H0HnpT3qHpUYrby84QiLNhyhxGj1iz/yxi3J4OeK6671l1qKyJ4TdHl+/vlnHn/8cTIyMhg5ciRWq5Xg4GCE51nQmfnP//xPDh48yPbt2xucq9+LS5blFvfnevXVV1m9ejVbtmwhIKBpd8qSJUt48cUXL0xoQYfhVWKg7VL3V23LY/XufAK0aoL1Gr95vUpSfbdcfTna033XGWmx0vT3v/+9xZM+9thjrRJGIGgNJpMJSZKIiorC4XDwwgsvCIVJcNG055736KOP8vXXX7N161Z69uypHI+Pjwc8FqcePXoox0tLSxtYnxrj9ddfZ/HixaSnpzNs2LBmx86fP5/HH39cee3tOC/onPgqMW2FBATq1CRFGhSXnK8C1JhyVl+O9lDmOjMtVpreeuutFo2TJEkoTYJLSkpKCg899BDDhg0jKCiIv/71r+h0uo4WS9DFaY89T5ZlHn30UdatW8eWLVvo06eP3/k+ffoQHx/Ppk2bGDlyJAB2u52MjAxeeeWVZud+7bXXWLRoEd9//z2jR48+ryx6vR69Xt8iuQUdT1NKzMXw4HV9lRpKcaEBSiA4NK0A1ZejPZS5zozInhMIBIJLxJw5c/jiiy9Yv349gwYNUo6HhYURGBgIwCuvvMKSJUv46KOPGDBgAIsXL2bLli0cO3aMkJAQAO69914SExNZsmQJ4HHJ/fWvf+WLL75g/PjxyrzBwcEEBwe3SLaumMkkaDnNudG859KGxJGeU9JqV9uFuuq64mfuomKa7HY7p06dol+/fmg0IjxKIBB0by52z1uxYgUAEydO9Dv+0Ucfcf/99wPw9NNPU1tby5w5c6isrGTs2LFs3LhRUZgA8vPzUal+yeN57733sNvt3HHHHX7zvvDCCyxcuPCC5RR0P5pzo7WVi+1ycNW1ytJksVh49NFH+eSTTwDIzc2lb9++PPbYYyQkJPDss8+2uaACgUDQUVwOe15XfOoXNKS+taclVqQLsRC1xGLVnS1NrSo5MH/+fH766acG2RlpaWn885//bDPhBAKBoDMg9jxBV6F+ixPva6/CtGpbHi/XlRjwEhcawMwxSXywLU8pP9DS+X3pbi1TGqNVPrWvvvqKf/7zn1xzzTV+abDJycmcPHmyzYQTCASCzoDY8wSdGV8LT/3AbN9/fUsMBNUrMfDBtjw+351PoK5h+QFfLrfA7/q0Smnylv6vj9lsbnEtEYFAIOgqiD1PcKm5EFeX1/pjsjmRAN+YG68VafWefCw2F3qNCp1GRdqQOEqMVlZty0MCTDYnhmbKD/jO563PtCw997Kpz+SlVe65q6++mg0bNiivvZvGqlWrSE1NbRvJBAKBoJMg9jyBl0tVEbs5N1h9vO1PJGB91lm+zjrrd90v1b1lDHoNBp1KmfvrrLOszzpLsF7D76/pzYrfj/KrCN7U+1+IfN2JVlmalixZws0338yRI0dwOp0sX76cw4cPs3PnTjIyMtpaxnbH7XZz9uxZQkJCxFOjQNCByLJMTU0NCQkJftlhHU132/MEredSZYjVd4M1Z3nytf6Ax2pktjmV1igje4Xzz71nOJBfRYBGRWigFrPNybQRiYp16sHr+vrNez433OXqpmt1naZDhw7x+uuvk5mZidvt5qqrruKZZ55h6NChbS1ju1NQUCAq4QoEnYgzZ874VcruDHSnPa8xumImU0fQUW1DvIUn04bEnVdZqz92xsqd7Pu5ErVKQquW6BlhAODmlPgOLQ3QFT9zorglnk7j4eHhnDlzpsv84QSC7oi3lUdVVRVhYWEdLc5lRVf8AutOnE8Zu5iyANmF1Ty/PpuCyloqzDYkYFjPcMUV53uNb2kCoF0VxK74mWuxe+5COmB3lZv34nXJhYaGdjnZBYLuSGdwk3fnPU/Q+WjK7eerADVmFWpMmfIGfy9Pz+VocQ33pvZGp1Hxl1sG88p3x7A6XAyKD+GDbXmKe+5ocQ1mu5NdeRWYbE5l/u5erPJCabHSFB4e3uKNzOVytVoggQA6zgQuEHgRe56grWluX2sqRuh8MVT1z3vfw2xzsj7rLDanmwVfHabW4eR0hYWltw1lRcZJJCTWZ53FXKcgBerU9I8NZsGUZD9LU2MyXc60WGn64YcflP///PPPPPvss9x///1K5sjOnTv55JNPlF5IAsHFcDmU4xd0bsSeJ2iO1jzYrd6Tz3fZxezKq2D5jJEtuq65gHAAs83JNX2j/Nxp32UXY9CpuSE5jvxzFmJC9Py/o6VYHS5WZJz0lBfQq5k2IgGTzck5s50D+VXEhQYQE6L323PF/utPi5WmCRMmKP9/6aWXePPNN5k5c6ZybOrUqQwdOpSVK1dy3333ta2UgsuOyzUzQ9B5EHueoDla8mBXX7GaOSaJXXkVVFrsrN6Tr1xXYrQyd80BymqsDRQqb2ac77gqiwPwKEzrDhSSFGmA6zzv6fseV0QHsWzGSLILqymrsdEr0kCQToNBr2b6iETSc0qYNiKRhz/LpMJkI/1ICX2ig4Si1AytyunduXMno0ePbnB89OjR7Nmz56KFEgguh3L8gq6D2PME9fHWRmruwa5+LaO40ACWzxjJ5JQeftet3pNPlcWBzSlTZXE0Wxup0mIn3KAlbUgcmacrsdhdnK6wNPse6Tkl2F1uzpyz8P3hYvafruSrrELSc0pYtOEIARoVsaEBTB2RIB5Uz0Or6jT16tWL999/nzfeeMPv+D/+8Q+Rui8QCLodYs8T1MfXAtQUjVnMG7vOe75+5poX38w27/jVe/KprnUQrNcQG6JnZK9wlqXnkjYkjq+yCpGAshqbEuw9LDGczNPnMFodnCo3M6p3BGlD4ppt5CtoSKuUprfeeovbb7+d77//nmuuuQaAXbt2cfLkSb788ss2FVAgEAg6GrHnCVpDU4pVfbedb6sTr8LkVYDSc0ooNdpIzynBbHPy3JRkwKM4bc0t42yVFZdbVmKVduVVcLzERK3Dxfqss5isDgx6DUmRBvLP1aKSJAK0aq7tH82BM1UNYpgEzdMq99wtt9zC8ePHmTp1KufOnaOiooJp06aRm5vLLbfc0uJ5tm7dym9+8xsSEhKQJImvvvpKOedwOJTCcUFBQSQkJHDvvfdy9uxZvzkmTpyIJEl+PzNmzGjNbQnaiEvVZkAguFS01Z4nEIC/2867X36wLY/0nBJWbctj7poD/Du7iEUbjpCeU8LRYk/5C7PNybL0XDKOlTJ3zQFiQ/RIyPQID2DBlGSu6RtFWKAWq8OFy+XCWOtARiIp0uCJe0ImOECD3elm+ebjyvt592uxd5+fVlmaAHr27MnixYsv6s3NZjPDhw/nD3/4A7fffrvfOYvFwv79+/nrX//K8OHDqaysZN68eUydOpV9+/b5jZ09ezYvvfSS8jowMPCi5BJcHCLzTdAdaYs9T9C1aU3GXP1rSoxWTDYnqXUZb979cmhiGMF6DRabiyqLgwiDTkn//8XiZOWL3fl8tus0FSY74YFaJEmiX0wwX+zO54djpVRZ7NidbgJ1GiYNiSU2RM+0EYk8vz6bIL2G+NAASmtsDI4PJTZUT6nRytdZZykxWjlVbqbSYgfE3t0UrVaaqqqq+PDDD8nJyUGSJJKTk3nggQcuqIrv5MmTmTx5cqPnwsLC2LRpk9+xt99+mzFjxpCfn09S0i8+X4PBQHx8fOtuRHBBNFY1tqX1RgSCrkxb7HmCrk1rHgh9r5k5Jom5aw5QabEzOaUH8EvJAAmUUgA3p8Q32GNjQvQ88lkmDpcbi92BDNQ6XOg0Kv59qBiQcbhkIoN0hBtUGHQqYkP0BOk1fJVViNnuJCnSwOD4EAx6DbPres29vOEIAMeKa7DYXUQYdGLvboZWuef27dtHv379eOuttzh37hzl5eW8+eab9OvXj/3797e1jArV1dVIkkR4eLjf8c8//5zo6GiuvPJKnnzySWpqatpNhssd7wbgNRs3luXRkZlv7WVeFmbry5uO2vMEnYuWZMw1d403S86rmKzek8/OvAqC9RoevK4vaUPimH1dX+alDSQ9p4R/Zxcxd80BsgurmbvmABUmGy63jF6jRiWBTqPCbHNhd7mxuzwd0a4dEM1XfxrPb4YnIuPJnJOAySk9GNU7goOF1QTrNcr+/OB1fblrbBIvTUvh5pT4FtePulxplaXpz3/+M1OnTmXVqlVoNJ4pnE4nDz74IPPmzWPr1q1tKiSA1Wrl2Wef5a677vJrWXD33XfTp08f4uPjyc7OZv78+fz0008NrFS+2Gw2bDab8vpC2iVc7pwvy6OjaS/XoHA5Xt50xJ4n6Fy0tkuBbzD4zDFJmG1OZDyZbb5uOu847wNa2pA4duVVUF5j44GP91JlseOWwaBTkxQZxLCe4RwsqOJYkRHfevRBOjVxoQGkDYnj+fXZ9I8JVt67rMbGocJqJQuvvnwpicJqej5apTTt27fPb/MA0Gg0PP30043WMrlYHA4HM2bMwO1289577/mdmz17tvL/lJQUBgwYwOjRo9m/fz9XXXVVo/MtWbKEF198sc3l7Ejao+1IUz2NOvMCay/XoHA5XhxdvS3Opd7zBJ2PtnhwigsNIEivIT2nhP2nKymorGXqiAS/prm+xSuXzxjJ3DUHKKisVSxJJpsTJJibNoAl3+aQffaXh34ZOGe2syw9l625ZRwpMlJaYyPcoCVIr1GuT88p6ZT7d1egVe650NBQ8vMbumXOnDlDSEjIRQvli8Ph4M477+TUqVNs2rTpvI0xr7rqKrRaLcePH29yzPz586murlZ+zpw506YytzUtcQ3VL6LWFrTHnO1Ne7kGRbHNi6MrfpZ8uZR7nqBz0hrXXHPzDI73fJf5djf0Fq806NSUGm2s2pbHIxP6cUW0gQiDlgiDFq1a4kSJiVkf72XHyYoG82fklvHv7CIGx4cwolc4L09PUeRuq3u4nGmVpel3v/sds2bN4vXXX2fcuHFIksT27dt56qmn/NoMXCxehen48eP88MMPREVFnfeaw4cP43A46NGjR5Nj9Ho9er2+zeRsb1ryhHOhlpCWPPmfb87m5mgsY8S3Bklj17VFZkp70tWtJR1JV7fUXao9T9B5qd/O5Hz7WX18r5mXNpDswmqOFhspq7Exf+1BgvUapo1IBODncjP/s+8MGpXErrwKzpyrRa9RcUV0EHanmxOlNRwtrkGtgqggHYE6NQWVtQDYXW6CdBruGtub9JwSBvcIZcKgWEUOEV5wcbRKaXr99deRJIl7770Xp9PTIVmr1fLII4+wdOnSFs9jMpk4ceKE8vrUqVNkZWURGRlJQkICd9xxB/v37+f//u//cLlcFBcXAxAZGYlOp+PkyZN8/vnn3HLLLURHR3PkyBGeeOIJRo4cyfjx41tza52SlnzhtKQ6rS8tUcSam9NrRm4qPbX+/L6vAb7LLmZrbhlX9Y5QsjguNjOlvTcDEdfUei7089nZaKs9T9B18VV6vHuB2ebkUGG14k47337pHTdzTBKLNhwh/5yFI0VGXG6Z0AAtAEF6DSdKTbhkGdwyyJ6Ab4vDxU9nqhjTNxKNWo1b9kQyqVUS4YFakGVKamxIEjhcMl9lFbIrr0KRSzz0tQ2tUpp0Oh3Lly9nyZIlnDx5ElmW6d+/PwaD4YLm2bdvH7/61a+U148//jgA9913HwsXLuTrr78GYMSIEX7X/fDDD0ycOBGdTsfmzZtZvnw5JpOJXr16MWXKFF544QXUanVrbq1T0h5fOE0pYi1dWPWzQOpfP7JXOLvyKpSAQ29Q48he4Ww7UY5Bp+Z0hYWCylqC9RrmpQ1slTWipddkF1azaMMRFkxJbtKXfz7LmW/QZmsRG1fXpK32PEHXZfWefP6dXcSuvAoW1FXlNtmclNVYsTllv+Dq+qzalsfxEhO9owykDYmra85rIynSgMMlU1BpoXeUQcl2G9ozDJ1GxaD4EG6+Mp5n1x6iyuIpM7Dr5DlkIECrIjRAS4XZE1AeGaQjWK/BZHNScM6CVi1xjc9+Vf+hT+xFraPVdZrAUx9p6NChrb5+4sSJyLLc5PnmzoGnH1RGRkar37+701xNpcYUsfNZj3zxVVZ8F9zqPfl8l13MvzILCNKrlYDD9JwSTDanUur/mr5RjOodgewz1/mUw/MFpjfHog1HyDpTxaINR1jzUGqjY5qzJK3ek68ogRezwQhrVdfmYvc8Qddl5pgkduVVUGVxkJ5Toige2XWWpsaCq717lsXmQq2SGNU7gq+yCjleaqJ3pIEVvx8F/OLeK6uxkV1Yzc1XxhOs11BaY+PZtYew2JzoNBKyLGF3uQGwOtwkhqmJCw1laGIYN10Zz/LNx+vapViw2F1+pQXqP2CKvah1tEppslqtvP322/zwww+Ulpbidrv9zou6JZ0D76LYlVdBpcXOrryKZmtwNGU98sVXcanfK8mroO3Kq8DhcvvN01ipgvqxTo3J1ZhJ3DvfhTwlLZiSrFiamqI5q1VbxeR09dieyxWx5wniQgNYPmOk357X2DFfvHvWNX2juGtsklIGABlG9Y6grMam7EtxoQEei1Spicf/5yeqax3IyLjdHhdc/9hgHp7Qlyf++ZNSYuD0uVp+O7onsaEBrDtQyNHiGqWA5dHimiZLC4DYi1qLJJ/PnNMId911F5s2beKOO+4gLi4OSZL8zr/wwgttJuClwGg0EhYWRnV19Xmz8zoDLTWr+lqaFm04QpXFwc0p8U2aZlsy77L0XKWsP3hMyal9oxS//s0p8Rek0PjO19jTju9533lXbcvjqwOFJNU9rQnzcvegs67F7rbnNUZn/d13Ji7UpVU/YHzumgMUVdXikuH9349i0YYjHMivIjJIx68GxfDDsTKKqq1KRp1eo8LmdCPjqc8UFqjlnNmOzelGr5EAibBALZFBOqprHZTV2IgJ0eNyy7hkmQGxwZ26WGVX/My1ytK0YcMGvv32224VbN2VaKlZ1ffJYvmMkXywLQ+TzUmJ0cry9Fy+yjpL+pESPrz/aqXTdlPzZRdW8/z6bHpFGhrE9ZhsTiotdoJ0Gsw2pyKXt1RCU4qZ99qm4oRKjFZKjVZ0apXiFvPKJwEWu4vT5yys3pMvzMuCdkXseQL4Ze812ZwE6zXnVZ5896xl6bmU19iotDiINGhZtOEIM67uxZGzRmptTtZnncVs99iQJCA5MZRau4uCcxYCtGrsLplykxW3G4YmhtEvJogNB4uorrXTMyKQ+ZMHsyLjJI9M6Mf2E+Vknq6kyuIQ+2Mb0yqlKTExUdQm6SBaG5DsW1QtWK/haHENtXYXJ8vMLVpUz6/P5kB+FYcKq7l/3BXKRuFVjoL1HoVpZ14FQXWB3Y0pd96Yp115FaQkhrHteBkRBl2j7+m5vhSgQbzAg9f1BfCLiRII2gux5wngl73GXFcgEloeD+SNiXK43JSbHVRbnXy68zQ9wgNwOt0UGW0MiQ/meKkJvVbNmQoLJpsTSZLQa9WY7DbFVWd3ujhZZkKlknC63VTXOli++TgvTUshJTGMCYNiGzygCtqGVhW3fOONN3jmmWc4ffp0W8sjOA/egOQgnwA/X5orhOlb2OylaSmMTApn+sgEZo5J8ruusTkGxYegVkmoJY+i4ov3acrbO8nXV+772qvwadUqjpeYKK+xYba5KK72BKDXl3nmmCSmjUhg6oiEBgs/LjSA56YkK7EAXQXRw65rIva87smFrsem9rqWvM/qPfksmJJMj/BAtCoJq9ON2eYkSKeh3GTHYndxtsqKSpIw21xUW514ioDLRBi0DIgNIdygRZZlTpSZyS02olFJaNUq8issHCzwZAjXl9XXyi/2nounVZam0aNHY7Va6du3LwaDAa1W63f+3LlzbSKcoCHeQGtvTFF9H3tzrjtfU3FcaABr54xX5njks0xO1z3ZBNdZpHznmJc2kGC9BhmYXWfl8eIbO2W2OVmWnqs0oPQWcZv18V5Ka2yEBKgJC9SBBLtPncOgU2FzylRa7A0sXl7F6EK5kLiDS512KzJWuiZiz+uetHY9NlbocmSvcFZknGTBlGRiQvRN7svLZ4xkefpxfjhWSlmNjdIaGzV1YQ1Gq1N5KDXoVMiyRGyIjtIaGwHaX8rouNwybiBAKzEoNkTJmFswJbnJPU3sPW1Dq5SmmTNnUlhYyOLFixsNihS0H15/utddVX8htDQjwlfReX59NofPGnG63Ow6WcHS24c1mKM5BcYrg7fXkdMtExagVdx0izYc4UiREbcMVoeG52+9kuWbj/NzuZkeYQG8NC2lTZv/XsjmcDEbSWsULpGx0jURe1735ELW4/mUkX9lFlBu8mTDXdM3yi/T12RzMiwxvK6uk428chMGnYrQAA2nyi2oJDyfKbfs13zX5XZTVO0pWGmxu5AkUKslXE4ZCegXG9wgEcabPAP+e5rYe9qGVilNO3bsYOfOnQwfPryt5RGch/offO+CNNcFeNcP5i4xWvlgWx4yMH1EoqKceAu1/SuzALPNicstI0kSxUarXw2S+oHc9eecfV1fRZafy80cKqxGLUn0jjIoxxdMSebZLw9SWmMjNEDD9hPlAKjq6pakJIY1eDK72N+R2eZUgt6bm+9iNpKWKFz1N9quXhn7ckXsed2TC1mPTa137x5cXmMj/5yFRyb0Y9uJckVJWp5+nI1HinG5ZGpsTr7cV4AbTzacQSfVtT1R8/J/pPCXddlY6oLBNSoVDpcLh8uNWvr/7b15fFTV/f//nD37TlZIBGQ1bKIgiAYLsogC1VpFi6CgLSoFtVitWGgLKFoVftVSpf6QT61iW1m0uGAsCSAgEBIgENYgCSEbIcssyUxm5nz/mMw1k0wWQlY4z8djHjD3nnvvOTNz33nf93mf11sRB1fw1Wv447TEeots3LMQ3lIapO25clrkNPXv35/KysrW7oukDs2JZEQF+SjTae7ITm1WJ5/k32nnCTBoycwrd1XIxjXN98n+XExWO746DeMHRHK+tJJB3YMViYK92SXkl1UpjodbY8lcs9IDUNS8F47vy/Ktxwjy0ZEQ7ikDkBgXzH9/fZsyHpPVjtlmJz7MpYDr3t5aarV1k96bu8LQG431ozkOlwyJXx1Im3f10FLb4u1+L6yoYu3ObA6eK8VsszM5MYZdpy/yWcYFuof6uoQoBZRZqrE7XS5PWWU1Wo0KhOCiyQpA9zA//r7zLNbqH+NM5io70SEGLpRZQeWSH1CrXInfOrWa6GAfjwUy0ta0Dy1yml599VWee+45li9fzqBBg+rN73cVvYXOTkOrz+oKPDb0ZFFYUcX2E8U4nQIfnYbFUwby0ffnSM4q5NusQqqqHVRVO9Br1JRVVoPK5UQkZxXyWcYFKqqqcTgFmXnlHMwpVVS+b+vTjWlDY+utXJt7Wy/8ay3DbSjKUljh0iFJO1fKzlPFytLd2mPwNvbGFM7r0lqh6ObmiNXuX+1+yZD41YG0eVcPjd3TTRUa93auzzIu4BSC6yMDFA05pxDY7E5u6R2OxergeIFROSbAoCEu1I9zJRaqXZne6NVwvMBYk/jtwgFcNFXTLdDA0PgQIvwNHD5fRn5FFRMGuiRYavdL2pr2oUVO06RJkwAYN26cx3YhXFM8DofD22GSy8TbTVB729qd2XyWcQGT1a4oXddV0PbTawgPMBDu71rWf7zAyNG8CtQqCPTRoVGruOm6UOb/pI9HXpHJamfXqYv8cNFMdU3VbGu1E7PVwfShccp0WrHR2qQaLlAvwdvfoMVicyiq4c1Rq609pehv0NQ7b22a49A0h8sxRN7GK0PiVwetZfNeeeUVNm7cyPHjx/H19WX06NGsXLmSfv36eZzzD3/4A++99x6lpaWMHDmSd955hxtuuKHRc3/66ae8/PLLnDlzht69e7N8+XJ++tOfXuZIr368pTS4aazQuDvCbrbalfxO97ksVgcCwd93ZjN9aBx7z5RwptjM4O6u8ibJWYVYqx1YHU5iQ3zJvWTx+M0cuWAkwKBB64QAHw3FRlcpK5vdiVMIBsYEYbbaKaioIiHMT1kVVzeFQtqatqdFTtP27dtbux/XPE3VVau9v7bAY+1/Af6+M1u5sd1aRu4E7d9vycRmd6KumR8vq3RV3D58vpzEuGAPHaTFUwayfOsxfrho4kyxmSmDYtBr1ZRabIoRcZdoKbNUsze7hF4RASRnFVJUYSUyyKCspvOWW1TbGWlI+LLu5+NenutwiEZLvXijNVbJNIV80rt6aS2bl5qaylNPPcXNN9+M3W7npZdeYsKECRw7dgx/f38AXnvtNd58800++OAD+vbty7Jly7jzzjs5ceJEg1pRe/bs4YEHHuBPf/oTP/3pT9m0aRM///nP2bVrFyNHjmyVvl8tNJbS4C1n1P3v2p3ZAB4pBTNGxCslmj7+Pge9Vk3auVKKjFZsDleE6XiBkRKzlXB/A1MGx3AwpwynEAT56Sk12ZTEb4vNgb9eQ4nJhkvrG7RaFdFBPgzrEcILG4/gcApuTAhVbGbtIsKdWfn7aqJFZVSuNtpbyt3bNJP7j/r4AVFKTtHiKQMVR2bZ1mN8lnGBqUNjPaJKr3yRxe4zJYzqHc7v7hqglBeJDvJhVO9w5t7Wi2KjlRc+PUxBRRXVDoFBq8bucEnzG6uqmTI4ltUPDvPaz+nvfEdRRRVDeoSw5hfDWbszGxUw5voIVn97ih5hfuResmC2uRya86WVdA/1xWyzE+qnp1eEP8lZRUwbGsu0oXH1xuWttpx7uvGrzAJC/HRKbacvM/Px12sZnhDK3Nt6XVb5F1nRu2vQFcsqXAnFxcVERkaSmprK7bffjhCC2NhYFi5cyG9/+1sArFYrUVFRrFy5kl/+8pdez/PAAw9QUVHBl19+qWybNGkSoaGhfPzxx83qy7X02V9uKaraaQPeylIt33qMTel56DRqqmwOKu0Ognx0jO4dTnpuGedKLOjUEOpvoMxixe6EET1DycwzUmmzK9NyahWoBAgV+Om1OIXg4ZHxHMkr5+C5Unx0Gj56/BYP+7lgQ7pHX7oSXfE316JIk+TKqF1I152YXfuJZsGGdDJyy1i29RgbnhgFeEaVPJ2uIkxWO1sP59Mzwp/Hb+tFZl45pwpNbMm4oDxJ6bVqSkw2NGoVdw3qrih4+xm0TB8ap4R4i41Wfr8lk/7RgUy8IZogXy3VDj09wvwAlCe0I3nlnC+t5HxpJVOHxhJg0CpO4LAeIby0ORNrdRXnSiw4nAKBy/GrO666OVq1/91xspgTBUbmfZjGH6clKlEtt7Bn7cTyvdklQPOn6xqiKztXXbnv1yrl5eUAhIWFAXD27FkKCgqYMGGC0sZgMJCUlMTu3bsbdJr27NnDM88847Ft4sSJrFq1qsFrW61WrFar8r6ioqKlw+hyNNceeJN0mbv+ACcLKwj21TOsRwirkk8ybWgc4EpryMyrIL/c9fC4+0wJl8yuqbZqJ1w0WnGXev4+uxSAIB8tVruDKrugJlcclQCnEPQI88NstTMvqTcvbc7ER6tWkr9rC2a2pmSLpHGk09QO1P1j5v5x101odt/Ei6cM5PdbMukVEUBmXjnJWYWMuT6CI3nljLk+QhGi3HGy2PVkAsSF+GCy2jmeX4HN7mRMnwgiAw3KtfpHB3E8v4JekQGM7BnG77ccJcxPx/gbovn9lkzOXbLU3PDlHD5fzokCI8lZRRQZraiAzzIukJFbRqBBy+DuITw0Mp4tGXmK7EDtlXKrkk/ib9Bgtjrw02tICPfj8ZqIlzvS5KbuNF1tQzY8IZQTBUZ+uGhWjqttHNw5XeMHRF6WOm9jtOUKlLZ2auTqma6FEIJnn32WMWPGkJiYCEBBQQEAUVFRHm2joqIaVSMvKCjweoz7fN545ZVX+MMf/tDS7l8T1LZPbhHgYxfKcQioqCldcr600pU6YNCyJ7uEQXHB6DQq4sP86BcdyO4zJZwrsQDgxFWGw8mP8gHVToHLiru2+GjVhPrrsVa76s6Vmm1EBvnw6bzR9aJe8n5vf6TT1A7U/XHXdg5q5xG5SYwL5va+3UjOKiR7qwmT1c6Ok8WcL63kz9tOcqbIiEBF/+hAqh2CU0VGfPVaNh3M4597c6iqdnC+tJLP54+h2GhlwYZ05iX1JjLI5UTdt2Y3xio7TgEHz5Xyw0UzVXYnKmBeUm9eKDnC4O7BHPihVIlwCeBciQWNWkWAj9Zj2vB4fkW9Iry39+nGtFq6UFFBPhQbrfXG2tgT39zbeiFw9bHYWMWyrcc85u3dffMmtVCX5josbZmX1NZGTuZUdS2efvppDh8+zK5du+rtqyue6U44b4zLPebFF1/k2WefVd5XVFTQo0eP5nT9qqahVbqrkk9yrsSCSqVCIwT+Bi3llTYqqqrZc6aERRP7sTe7BBUoUfiHRsYT7q9XnCa9RkWgjw6TtRofrQabw4nd4coz7d3NH2OVndE1aRUffZ/D4fNlDO4e0uzFMpK2RzpN7UBDP+6mNIDMNSs8BJCZV47DKbDZHThxhXQfGpnA5ow8zpdaXKsxhKDa7spVKq+0MWf9fs4Wm6mqdlBmqSbET8f4AVEsn57IS5szuSE2iH1nL6FWqejdzV9xcsID9BQbrdgdTvwNWgZ1D2LPmUuogBBfnRIpWrb1GAfPlfLEP9LoHvpj/91lXuomly/beoz0nDJ+9WEan84bXU8w01sivLssgHvevnapldoSB3XPATSrvIw3A9lcocrLpe5Ta2tHneTqma7D/Pnz+eyzz9ixYwfdu3dXtkdHRwOuyFFMTIyyvaioqF4kqTbR0dH1okpNHWMwGDAYDC0dQpficu43b6t03fZ44g1RCOBEgZGcSxYulFVhszs5VWhk0X8OY6t2cKrIRIS/ngExQfxw0YzZ5qB3N1eSv69OQ6Cvlu+zL6FVO6mqdjlMfWODeH/Wzfx9Zzb/STvP7jMlRAX5YHcKIoMMXvss7/eOoUUFewHsdjvJycm8++67GI0uDYoLFy5gMplarXNXC+4puY/35XgUS3T/If94X47XY/wNWg7nlZOZV8GZIhOxIT7cmBAKwCWzjb/XJGX76DQ1qrEqokN88NGq8NNrOV1oxGxz4BRQbLQq+UT9Y4L42fDuhPnrsdmdWGyuyNSvPkxjWI8Qxg+Iol90IHanQKdWYa12EhHgkiwI0Kt5/P8O8Kt/HCAqyAe9VoMQAqtdMGNEPDNGxNebKnMvi52X1JtugQYMWrXyWbgLSDb1Wax+cBiTEqMZPyBKOaZuQcra56h7Pm/9ch/zZWY+v/owjS8z871evznfV3Oo3d8rPZek/WkNmyeE4Omnn2bjxo3873//o2fPnh77e/bsSXR0NN98842yzWazkZqayujRoxs876hRozyOAdi2bVujx1wruB+6vsosaNb9NmNEPKF+etc0Wc0q3Y/35bAnu4TIIB8eHpkAuNIHAn10aNUqqp2Cskob5VV2Skw2zpdWkpVfwZaMC5wqNFJYYeVCWRW5lyx8n30JpwCzzfWA6xBwfbcAPt6XQ5HRSnllNcVGK6eKjIT46RpcTSyL73YMLYo0nTt3jkmTJpGTk4PVauXOO+8kMDCQ1157jaqqKv72t7+1dj87BZcbHfC2Mgx+jHR4i0Bl5pUr+Tvu7V8eyafK7sRmdxJg0BLko6PEZCU5q4joIAPBvjqMVXa0KiiqsOJwCtTVDoJ89VSbrOg0aoZfF8qxCxXMS+rN6uRTbE4/T3y4vyJSmXKimGKjlTWpZ9jwxCjlZkw5UUyJyYpapcKgU3PRXI3Z5iC/vAofnZqEMD/8DVoPOf+6JVhqj909Lz9+QJQSPWros6j7GS4c37fBukoNncP9/4aeymaMiGdvdgkOh7VJGYPWDIfL0HrXorVs3lNPPcVHH33Eli1bCAwMVKJDwcHB+Pr6olKpWLhwIStWrKBPnz706dOHFStW4Ofnx0MPPaSc55FHHiEuLo5XXnkFgAULFnD77bezcuVKpk2bxpYtW0hOTvY69Xet8fG+HEottmbLlLgf0rzloc4YEc+8D9M4fL6cboEGAn1cC2oQDlSoUKsEAQYtMSG+nCsxIwA1KtQqqHI4EaiUZG+NyuUwGbRqTheblOhSsK8OnUbtspHj+3j9WyPzmTqOFjlNCxYs4KabbuLQoUOEh4cr23/6058yd+7cZp9nx44dvP7666SlpZGfn8+mTZuYPn26sr85Im9Wq5Xf/OY3fPzxx1RWVjJu3Dj++te/eoS8W4vL/aG625usdlTALb3CPW5abzpMtTWVbkwIRQUMiAnifGklKpWKTel5BPvqsNgcBBjUFFRYqXY48NNr6RnhT3yYH0fOl1FeZWdYfAhh/noCDK6v+WR+BU99lI4QTizVTo4XGOkXHUhkoIGRPcPIyq+gzFLNgg3pRAYaCDBoCfbVUV5Zjd3hZGBMEI+MSmDx5kyqHQK7Q1BitjF5UEw9CQH3ija38Ju+xgi42ZyR52HIGnJqLqcgcd1zNKX26z6mroFsiMbC4ZfrUMvQeteitWzemjVrABg7dqzH9nXr1jF79mwAnn/+eSorK3nyyScVu7dt2zYPjaacnBzU6h8nCkaPHs2GDRtYvHgxL7/8Mr179+aTTz6RGk1414RrLm7x3tq2q190IFkFRoJ8tPgbtFwy27DandjtrnVxVruT04VGJelyQEwA+eVW1GoHtpo2akCjVhEZ4NJusljtJFcUkRgXxLgBkU3Kp5isdkbV+XsiaR9a5DTt2rWL7777Dr1e77E9ISGBvLy8Zp/HbDYzZMgQHn30Ue677756+5sj8rZw4UI+//xzNmzYQHh4OM899xx33303aWlpaDSalgyvQZobHahbONFstbOnJs/HW3kR+NE5GFzjfNjsTjYdzMPpFOi0anpG+BMRoOdkoZFLZhsGrRqncE3LOZwQF+LLH6clsiUjD0u1k1KzjV2nLvL47b1YOL4vmXnlfLD7B0W2382eMyU4haDS5sDfoKXYaOVkoZFgXx09I/y5MT6UtHOXyLFU0yPMjx9KLLzz0I28/vUJqp2C4fEh9VS7k7MKGdUrXBG3dDs9WzLyOJJXTpmlmtv6RDA5MUaROViwIV3Rb6pdEPi26yOUHCm4PGej7ufcWH27K3VgWrN2nqTz0Vo2rzmyeCqViqVLl7J06dIG26SkpNTb9rOf/Yyf/exnze7LtUJL6kvWlYVx/2uy2gkwaBkQHYjF5uDGhFDiw/z47+ELyvmqahwj9/K4zAtG1K5Scwp+Bg0hfnr+9ovhis2LrIloNSfnam+tvyeS9qVFTpPT6fRaNuD8+fMNKtZ6Y/LkyUyePNnrPiEEq1at4qWXXuLee+8FYP369URFRfHRRx/xy1/+kvLyct5//33+8Y9/MH78eAA+/PBDevToQXJyMhMnTmzB6BqmpdoemXnlHMkrZ/yAKDLzyvnVh2loVHiouI4fEMXe7BIeGplAclYhX2UWkBDux/nSSoqNVoxWO0VGqxLatdmdhPrpqKiqBgSDuwezJSOPf36fg1qlQqNWk9g9iB0nixk/IIrNGXk46jhMGhX07ObHwXNlqITAqlahUoFW5cqTMtvsZF80UWS0Ync6OVNk4kyxib3ZJRTVrISLrLlp3VNx7nFMGxqnGANw2Q8BSnTJLU5ZWFHFrz5MU+QINjwxio/35SgFgd1FhmsXpqxLQw5KU1GqpiKHl+P4eDt3Wyv1Sses/WgtmyfpPLjvH/dDLdRPnXDbTovVgZ9BgwrYk13CqF7hyiKUBRvScftJejXYnJ7X0ahViJr6nz5aNZZqO9eF+/P+7Js9It7uVIaOXOEraZoWJYLfeeedHqJpKpUKk8nEkiVLuOuuu1qlY02JvAGkpaVRXV3t0SY2NpbExESlTUcwY0Q8o3qFK+VD3FN0yVmFLNt6jCJjFQUVVgrKXbofy7YeY0vNdNWyrccYPyCKSYnRLBjXx5WfpAI/nYbekf7KNZwC+scEEeSjQ6tWK06JQavGandgdzjJPF/BodwyHnh3D7tOXfSot6ICxg2MIqekkmqHoNoJVocTH62axO4hvHrvIEL99Dx4cw98dBr89FrsToFeo+bBm3vQPdSXcTX6SAs2pCtJ1LXHCi5jMPe2XgTUiGhOTozxcCI+3peDQaumW6BBWZU3Y0Q804bGKurnTWkwNZRUXTf5u27ieEPJ4U2d1xvezh3qp1dW/LUFMpm8/WgPmydpGxpKmnbfPwI87DX86MRsycjj4LlSDuaUEmDQMm1onPKv28HqFRGAn16DWgVqtRoVnn9Yh3QPAhXYHQ6ign0IMOhQqVSsTj7Jsq3HlGs2936ua2sk7UuLIk1vvfUWd9xxBwMHDqSqqoqHHnqIU6dOERER0WzJ/qZojshbQUEBer2e0NDQem0aE3VrayVc98q3LzPzycwrZ15SbyWcOqxHCPM/TsdPr+GS2Ua5pZrzpZWM6h1OflkVZquD32/JZHhCKK98eZwSsw2VCizVDs4UmZVr9OrmT2SgAacQqFTwbVYRA2ICsdboLanUoNeoqax2YLY5OHvRc4WPANJ+KEWlglBfHSN6hdUU9VXhZ9Cw8/TFGnXwowT5aBFCUFhRhU6jZsP+XGwOJ1FBPiRnFVJmqVZyk4qNVmWsjT3JwY/15O7oH+khkAkoT3FRQT4NRpjc5yiqsCo5U3WjL41FBpvafyVPdHVzpa4Ub1El+cTZfrSHzZO0jKYirnWrDrjb1r5/ardxy0xarA42Z+ShU6sI9NUpsiTuh8JugQYWbEinoLxKKZ9id7jCTO6Yvlat4nxpFU7hetCttjuodjg5V2LmeEEFAQYtB8+VcmNCaL1UBEnnpEVOU2xsLBkZGWzYsIG0tDScTidz5szh4YcfxtfXt1U72BKRt6batIUSrjfVb3fZjzWpZzyiL90CDRRWVKFVq4gMMqDTqtl16iKmKjsOp6DEZOWHi2YstprpAAHVdie9e/hjsdnRqFXc0T+SaUPj2HHqImUWG0VGK8VGK25tWT+9hmBf19dbXlmNn961ysPmEGhUEOSjw2S1Y7U7CQ9waYq4aypdNFoJqkk2r7I7oAq6BeoJ9tXTPzoIgUCFisKKKlSoGNMnQnF63EngtYv6Do4LVsqs1Ma9jNe93dtqu6byg2q3rfuvNz2my5nKutJk7dZM9vY2lSiTyduP9rR5ksujqWn2hpyjheP71puOM1vtbMm4gEO4ouoGrRofnUYpH1V72m7BhnSKjVYumW1UVLnKYWnUKnw1apxOJ1V2gUGnZnTvcHafKSHUT4dOq8ZaVolGrUajVqHTqMm5ZOF8aWWzUhEkHU+LxS19fX159NFHefTRR1uzPwrNEXmLjo7GZrNRWlrqEW0qKipqVJ+kLZRwval+uyMNtYUTwZXLVGKyYbLa0VuqcQrhcoY0KrqH+nKhvJLyymrlcUUAdqfgZKGJ7qF+hPjpmF5T/DbnkoU6eYeuZa5qFdEhvhh0NsqrqokMNDA8MYbkrELsDidxob4cu+CKsFmsdr7KLGBvdgmlFhtmm4MSs43IQAMxwT4sGNeHnacvYrE6OF5QQXmlDatdYK6yY3M4mTHSM/phrkmYnD40DpPVzsFzpZht9Y1BXQNUW37AVCPsWVvDyf3ZunGvIhk/IAo/g8ar1EBD309XQ0aVOp62tnmSltHUvVH74aKhtu427qmytHOlVFRWkxDu55Jp+fYUP1w0syr5JJU2B499sB9rtYPekQGMHxDJ2p1n0apdD+rOmod2FQIfrYZugQb+/9k3K3U516SeITrIh52nLhIV5MOguCClBqisIdf5aVFO0/r169m6davy/vnnnyckJITRo0c3Wh/pcmiOyNvw4cPR6XQebfLz88nMzGzUaTIYDAQFBXm8rhR3fow38cVugQZMVjt/35mt1IYLD9ADgvJKG9HBPky8IZp+0YEMiAlCCJd+h1C5ZPc1NUEzi9UlIzAvqTe/+jCN85cs+GjUaNUq1HikLOGr07D6wWH0jHDlQTmcggXj+zB+QJRL88nhJMhXh4/OpRuiVatYPGUgkxNjuKNfJFa7kxKzjdv7diOpX6TypHX2opliow2tWoWPXoOvXuNxXffU5N7sEpKzCgkwaLHYHPU0UmpHfpKzCim12BQht6ggHwIMWnaeusiCDenK5+rNEdqbXUJkkCsfKirIx2O+v3YuQ1P5S50dmcfQsbSHzZO0jLr3RmPCj43dR26bNG1oHDcmhHJH/0hWPziMnacvcqLAyFdHC/gs4wL/PXyBIqMVk9VOtcPJuu9+wCnA5hBUOwROp6vEio9OQ2yID3uyS1i29RjJWYXsOn2RW3q5yqT0iQqg2uEksqbyQbfAa0OdvavTokjTihUrFL2RPXv28Pbbb7Nq1Sr++9//8swzz7Bx48ZmncdkMnH69Gnl/dmzZ8nIyCAsLIz4+PgmRd6Cg4OZM2cOzz33HOHh4YSFhfGb3/yGQYMGKavp2gv3lFzdiMnH+3IoqrCyKf081Q7BlowLVFS5coC0ajXVDif55VUYK6vJLa0k95KFW6+PIOVEMcG+OqqqHQT5aCk22XAKwdmLZtaknqHYaMWgVWN3CoQQGHQaBK4b1ilgdO9wPt6Xw9mLZoSAnEsW7luzmxtig1zaT9FBTE7059usIrLyK9Br1UrZk8KKKvwNGgSe0aAdJ4ux2Z1UVjuUxG33k1FhRRVrd2ZjsToQiHoaIo2tbPOmo+Ke3iy12EjOKmwy7O6NhkLxdbmSVWgN1amSXF20ls2TtD3uQt4mq11ZXOLtHq8tJNwt0MC8D9PIueQqhO6OpncP9eWj73Oosjno1c2fm3uG8VVmAaWWavRaDfnlVWg1Kmw1K5MFoNdqCPbVcX1kAPOSerMm9QzzknqTnlvmkbpQN+exq0fDrxVa5DTl5uZy/fXXA7B582Z+9rOf8cQTT3DrrbfWE21rjAMHDnDHHXco791TZrNmzeKDDz5olsjbW2+9hVar5ec//7kibvnBBx+0ukZTc6irPOu+CfQataKnFGjQoFGrGNI9mPNllZzIN3LJZKOk5hzVDsEPF82oAJO1msgAA9EhvvxmYj9WfnWCqCAf7ujXjfOllTxwc3f+sce1+sxiswMqQvz0DIgJ5JtjhahVoNWoUatcSYhFFZU4ap6CfPWuz+c3E/qyJvWMUuPNfRO/VGNs3CRnFWJzOBnVO1zJm+oWaFBu7lXJJxVDFWDQMnVorKK1VDfJG+o7SnWNRN1E6oaEKVsjkftKjFVdPZeWnEPS+Wktmydpe1R1/gXvyeBuIeEXNx6m1FJNucVGld1JfJgfB865ckRXfHEca03+Q0WVnYXj+6ICtmRcYFD3IDLzjBi0mpqanyqCfXW8fPcAfiixKNcxWe2k55YxY0Q8q5NPKotWZAHerkmLnKaAgABKSkqIj49n27ZtPPPMMwD4+PhQWVnZ7POMHTu2UbG35oi8+fj48Je//IW//OUvzb5ua9DUaiZ35MmtiB0f5kfOJQv9o4NIzirkYE4ZU4fGMjgumC0ZFzDbHGjVKnx1Gs6WmLHZXQnblmonPSP82Xe2lHKLjW+OFXKmyERltYM1KdlY7a6pL6cTBAKHEKTnlGG2OVABBq0Tldo1xRfsa3A5a6WVpOeUcdFkxWy1s+GJUQDNLlHiNkD+Bq1HroB7rALBwXOl5FyyoFapCKjVzk3tHAJ3Anhdx6q2UWmsbw1FiuoapYbaXYmxqh2Jk/kIVy+tZfMkbU/dQt7g3X4NjgtGr1VjqrJTbHSVmwo0aMm5ZGH59ERWf3uKQB8t+86WYq12YK12MO/DNOLD/OgR5suBH8qwOwVaFYQFGKi2O9GoVWReqFCqMNS/bhGA12TvlohwStqfFjlNd955J3PnzmXYsGGcPHmSKVOmAHD06FGuu+661uxfp6Wh6ITZamftzmwluhJQk98zfkAUL941gL/vzGbcgEgqbQ6+z75Er27+3DkwitNFLhHJUvOPK+AcAi6arHyVWUBciC9Wh3Ctyqh2UGl1JWGrURHur0cIiAnx4ZZe4STGBrHyqxMM7h5MuL+Bw+fLyCurRKNWceBcKZU2Bw6nE4dwKYK786+8OQ911c3d+4sqqkg+VkhRhVWpj+QOha9KPsnBnFLiw/y4MSG0WRpLtT9H91SfChQRzLp9q90G8Cpp0Nzv7EpWodU+Vq54uXqRNq/r0FDkuqFk8Fe+yKLEbOO3k/qxYX8upRYbu05fxGZ3sv+HUm7vG0FeaSVFRivZRSaO5JVjdwhl4Y0TCPPXc8lsI8xfj8XqYG8te1T7uoUVVZwoMLZIVkBO33UOWuQ0vfPOOyxevJjc3Fw+/fRTpRZTWloaM2bMaNUOdla8ORi1lazd0ZW6TxruJfZ7s0vIyq/geEEFoX56enXzx2S1U2ZRo1K5bkhHTX5StUMQF+rL0ZrVbj46Df1jgjhVaMTudK2sm3BDlHIjfbwvh81P3aokQ/99ZzZ7zpRw/pIFvU7DnQOjOFNs4kyRifwa5yOg5sms7s3oVrb+T9p5/A0aZSzbTxRTUFHF6WITfgaNIimQnFWoGARvT0TepBncbWvXrfus5nN0R7PqGsKP9+UobaYOjW1WkndnDn/Lp8jOjbR5Vycf78sh9WQxJqudfWcvsfrBYazdmc3OUxc5UWhECEjPKcPucFJeWY1ep0GtUqHXuuyzSgWhfga0ahWXzK4V0WP6RHi1R+6FKkfyylskK9CZ7de1RIucppCQEN5+++1621tb+6gz4+1pxp0s3T860MMJGNYjhAUb0pmX1Bv4caXdc//K4KLZxujertUUy7Yeo9TsWvIf4qvD7nBidwp0GhUXyioJ8dXho9ewaGI/dp2+SH55FQXlVZwpNuOr0/DxvhwKK6r45lghyccKuaV3uCL7r9eqsTkFGiG4LsKfubf14vdbMukXHYgK6s3319WbcjishPrpFXkAi82ORqWiT+SPxzcnr8ebNEPdKbhRvcKZOjQWFQ0bCPd0YO1olDcuR+yyI2npU6R0ttoHafM6H5f7269bTBxgWI8Q3q6qxu6EtJxSooJ8UAGni0xKrThfrYqiKldk3ulw0Cc6iBKTDYvNTrVDMG1oLNOGxvH7LZn0jw7ymsPp5koFczur/bqWaLbTdPjwYRITE1Gr1Rw+fLjRtoMHD77ijnVFNmfkcb60khsTQokK8lGcgP+knafYWMVLmzP5dN5o5YYy2xyYqqo5cK6Uube5pndMVjt5pZXEBPswqrdL2n/bsUJsdic9u/mzYFwf1qSeocxSzR39Ivn6WAGlJhuni03kflfpSgq32jldbOLsRbMShRnWI4TV356iX3Qg14X78dDavYT66YgK6sZ14X58vC+H78+W8Mn+XPz0LiWKunpTboeq2GjFT6/ljn6RRAQamDY0Dn+DVtEgqRt6rm3cGjMa3lbReTuH+4ltcZ1kdW+0Zn25tqSlxlSG7NsOafM6Nw1N7TclhOsuJu5e7Vwj4k1VtZMxK/9Hj1AfnDUek0oFeeVW1GpQq6B7mD96jRp/vYaYYB+GJ4QqD20bn7y1SXtyOTXmJJ2TZjtNQ4cOpaCggMjISIYOHYpKpfJI4na/V6lUXgtbXguocIVsD54rVbSBwPU089LmTLRqFQs2pLP6wWH8fWc2xspqHE7XqrbHPthPmL+e2/pEsOdMCaeLTKCCuWN6svVwPoUVVrQaGy9tzlRqtS0Y34eLZivbjhZSVe3EWu3EoFVxfVQgCMgvr1KmCVcln8Ric3D2oplvs4qoqLLjFIIZI+K5b81uTFYHe89cQq2GmGBfjz/etW9099RimaVamZ6rfY26iraFFVUs2JBOqcUGNL7039uTVHNKsTS25P9yZQk6ipY+RcqQfdshbV7npqEUiYaqCbhnAsxWu+LozEvqzalCE86aMlFV1U7yy1yJ/a7VxyrUKtcCHWOVHa1ahdlmJ8hXR//oIEV/b1qNMKU7iuVeRdyY8+buo6Rr0Wyn6ezZs3Tr1k35v6Q+c2/rxZG8cqVIq9tBKKyoYlJiNDtPXSQjp4w5H+xnUPdgbA6BUwjsTqioqqZXN3+mDY3jv4fzsdqdZBeZWPnVCcw2O+H+BrqH+lJeaSPYV8egGqfkyPly5foGrRpfvQa9Rs0fpyV6rOZyT7MVG6twCoFWrVKWvS6fnsgLG4/QLyqAiio7f5yW2OiN7nb6ahsG9zVq/+s+rnZtusvFfd1baj0detvf0NRgW9aX6wzIkH3bIW1e58bbb79ujmTtBzaT1c6JAiNni81kXzSz+sFhpOeWoVGrsFTZEcIlJhweYKDEZMPmcGJ3CO4cGMm5EgtlFiMXzTYmDozieIGRbccKqLQ58DdoOVJTAsUdxTLX0mNqrI+SrodKNLbm/xqhoqKC4OBgysvLr1gdvHbk46Pvz3G8wEj/6EAO5pSRe8lSIy0Adw+OZfeZEsrMVjQaDRNviFLymvLLKqmsdhLmr3eJX5ZVMn1YdxaM78Pvt2Tyv+NF+Og0PHhzD8ZcH8GvPjyItdpBz27++Ok15JVWcl2EP2t+MRygRnTSpeN0vKCCEpMVh4C//WK4R0SosZBx3f3uqcdbeoV7OE7eysZcSSi6uf2S4pJXB615L0ouj6vts1+VfJKvMgsI8dMpD3qb0vPQadQE++qYlBjN+AFR/H5LJhabg8KKKrqH+pEYF0R6ThnHC4wAxAT7EO6v53iBEX+9hkBfHQatimBfPf2iAwkwaJVIk9v+dJZp/85OV/zNtbj23JkzZ1i1ahVZWVmoVCoGDBjAggUL6N27d2v2r8vhfvpZlXySLRkXFGG0ED8d+WUq1CpXUcfvz17C7nAiVCr8DRqui/BnS0Yep4tMRAf5EB7gKuQoBAzuEcJDI13TY9+dLqHaIbA77AggqV8kD98Szz/3niOvrJIgH1eh3az8CmVV3Gc1KuQOp2DKoBj0WjVllmqPabSGKoE3JCTpdohqP1GB94Twtix6K5f8S9oLafPantZ0NurmSLr1m9wPtDtOFlNUUYXN4WRMnwgy88q5aLS60hcqbSSE+2GzOxncPZi0c6VcHxlAeWU1WhV0C3TletbuY237I3OXrl5aVHvu66+/ZuDAgezbt4/BgweTmJjI999/zw033OBRB+5ao26ts2lDYxncPZg/Tktk9YPDuP/mHkwdEkuYvwGDRsV1Ef78bHh3fjosjhkj4l2FdlUq9Fo15ZU2dBo1E2+IYvWDw0jOKuTLzHyiAvX46zVMuCFKKdp70Wgl0EcHgN3hJNRfj49Ow8FzpYwfEMXUobEE+ehwCsHpIhOD4oIZ0ydCCWGvSj7pUd/N7UC5V+M1VMcJYNrQOOW4GSPiuaVXOL0i/OuVUbmcz+5y9kkk7YG0ee1DbdtzudS1E3XrzLnfJ8YFk33RzNELFWw/UcyoXuHcdn0Epio7pZZqLhqtVNkFgQYte14cR48wPwRQXlmNv15DgI8Om91JsdHaZmORdF5aFGl64YUXeOaZZ3j11Vfrbf/tb3/LnXfe2Sqd62rUTfBbca9rRY376enx23qxKvkkZRYb8eF+HisvMvPKOXiulHEDInl4ZALLth6jzFJNZM1KsfEDovhP2nkMWjWP396LheP78ruNh/nXgVwEKnRqCPJ1SQJMvCGKlzZnUlHpiiYtnjKQxNggfr/lKBGBBrZkXGDa0FiPaTZ3n8G7em7t/d7G6ibAoGXXqYuE+Omu6LNr7r7Lxa1b1VB5F4nEG9LmtT2FFVVKXlBzHrjq3stuTbkdJ4s9bKs3Fk8ZyGMf7OeSycrGg3lsSs+jxGRDo1ahVqtQIxjc3RU5evy2Xhw8V8rZi2YiAgxcNFm5ZLaxbOsxpZqCN2Tu0tVJi5ymrKws/vWvf9Xb/thjj7Fq1aor7VOXZcaIeMxWO4UVVSzfeoxpQ+PYkpFH2rlSKiqr2Ztdgtnq0vaoqLSz89RF0s6V0j86kO0nirlktimFc+vWXfv9lkyMVXYceg3DeoSwKvkkh/PKa5bLCuyAscqOv0FDem4Z/gaNR/L1hv252BxOjl2owGy1Y6rpp9lq55Y6Rqoh9dzmSAe4E85LLTYlGb65n5238zW173LxJkAqkTSFtHltz8f7cpTqCU3lVQLM+zCNrPwK/PRaJa9yb7Zr5fH50kqPMk+1cRfqDfXXU2S0YjW7EsW1ahW9u/lzY0KokqfkLvF0Y0Io50sr0WlU+Ok1aNSGJiVP5CKNq5MWOU3dunUjIyODPn36eGzPyMggMjKyVTrWVag7B+9v0Cp/lNPOlXK8wIhBq8bfoKXUYmN4fCj+Bq1S/fr4hQoycsvQqMGg1SoCmLVvuBc3HiYjp8wl2y8Ea1LPYLLaGRwXDMKlCA6CYqMNgXe9o8VTBrJs6zGig3zYfaaEAIPWQ6G8oSeyxuq/eTMIdXWdmktjBqY1jY/bsXV/TjJhU9IcpM1rexp7OKq7Eg4g55IFlUpFQrifcv8unjJQEZmsex63s2S2OjhVZOT6bgFEBhq4aLSiqnGYbuvbTYlAuxPJ92aXsHjKQI+qB43ZC2lTrm5a5DQ9/vjjPPHEE2RnZzN69GhUKhW7du1i5cqVPPfcc63dx05N3amj2krVZqudnEsWooN8GNw9GD+D1mNKqH9MEPf8ZRfOKjvCAULY+fpoAUn9XEbYffNl5lVQo7+GQadh8ZSBbM7IQwXc0jucvdkl3NIrwmMVW13c0au1O7OZNjSWubf1UvY117lpyKh5E57srKrWUUE+vFTrCbG2Yayb2CmRuJE2r+1prMC2N+kSs9VVaDfnkoVio5WoIB+SswqxOZxEBhnq3cu/35LJ4fPl9O7mz9AeISyeMpBugQbmrN9PdpEJvVatzAacvWhmXlJvJWqenFWo9K1boKFReyV1mK5uWuQ0vfzyywQGBvLGG2/w4osvAhAbG8vSpUv59a9/3aod7OzUdSRqK1UXVlQRGeSjCJ55i+hEBRmoqLShUqmxORwczivndxsPc7zASL/oQI7klTMoLpjCiioqqqoZNyCSxLhgkrMKPdRt3U9A8ONNW1dgrXb4293uchyVhpyhK1Hddj9BllmqGzy+JTTXEWvpdKLk2kLavPan7ope97/u+/mlKQN58L09HMuvUPKL3JFkd/pB7Xu/f3QQx/Ir0GtdD57uiNEtvcLJL6/CYnNgsTlIzynjhxIza1LPeI2aN2XvZC7T1U2LnCaVSsUzzzzDM888g9Ho0rIIDAxs1Y51BRr7w+wOBc9L6s2u0xcVcUb3HLnbial2CIbGhyrTdb0i/D2kCtwr0xaO78vandmoaq5b14jUnjrzJgfgrXhwazwNNZQXVZumkrxLLbYWi182RHPH19LpRMm1hbR57U9dG+ftPnanHbgfVN0pEslZhfVyFh8aGc+OU8VU2uws23pMkUV5/LZeZOaVc/h8OTa7k3B/vRKJcl/XvTKvsXxONzKX6eqmxTpNbq5lw/Hxvhw+P3SBT/bncke/biyotbx12dZjZOSW8dLmTEL8dEokqCEnJirIh6R+kcpy2eMFRv44LdFDfDKzRm3cneDoTTeptoEprKjCv9aUnXsVXt3iwU3RVD2npvKimpvk3ZpTY5fztCeNnORyuJZtXnvSnPsyMS643gq2UD8dpwpN3D+8u/Lw6o4s+Rs0+Ou19IoIwM+gUezO6geHsTr5ZD2766buQ5i0F9cuLdJpKiwsZObMmcTGxqLVatFoNB6va4UZI+Kx2p0UVVSxJeOChx7HvKTeRAQYePy2nkoC4YwR8R6lQGoLoNXWIIoM8mFNLbVu+DEiE+Kn8+oI1NUkaej8bmduTeoZpX1TGkkLNqTzVWaBV72RumPyhre+NWffldBW55Vcm0ib1/lx27HXvjqB1e7k9a9PKvZu2dZjzBgRz+TEGIYnhHI4r4wAgytmsCr5JAAr7h3Mxidv9XhQra2715Sdk1wbtCjSNHv2bHJycnj55ZeJiYlBpVK1dr86Pe7oy/Lpiaz+9hT9owM9bij3sv+1O8/ib9AoiYQNaRC584/c+U9Ao5GkhvpTd3/dJ6S64Wxvber2r7Hps8uJ0shVJZKuirR5nR+3TpO65qtJjAtU7N28pN4eU/BuZXBv+ZRuO1XXFsvokgRa6DTt2rWLnTt3MnTo0FbuTtehtqOx8clb6+13Jxhbq6swWx2MHxDl1Wmom380qoHCtE05Jw05PnWnqbyFs9tr+kyuKpF0VaTNa38u5yHLLYypU6uprHblg5qtTsXeeZNLWZV80usDodtONWSLJdc2LXKaevToQXvV+b3uuus4d+5cve1PPvkk77zzDrNnz2b9+vUe+0aOHMnevXvbtF/NSQZc/eAwRVvEfcPWdRq85R+1xDlpqD/NiQS1p0aStz5KJJ2d9rR5EhcNPWR5c6bcK4NRgRAClQqqHQ4l5cDbYpWGHgjbKs9ScnWgEi2wBNu2beONN97g3Xff5brrrmuDbv1IcXExDodDeZ+Zmcmdd97J9u3bGTt2LLNnz6awsJB169YpbfR6PWFhYc2+RltWWq6rYtuZp6fk9Jmko+msVc/b0+Z1FJ3ts2/IHrmjRuMHRCnOVOqJIl7anMkNsUGknijGancS4qdj1ujrAPjvoQtU2Z38rU6uaFPXkrQtne031xxaFGl64IEHsFgs9O7dGz8/P3Q6zzpjly5dapXOgUuJtzavvvoqvXv3JikpSdlmMBiIjo5utWteDk3dbHUjNXXnzTvTTdqS6bPOOA6JpLVpT5sncdFQlNv9ADp+QBTLth5Dhav6wkWTlWKjlYGxQZy9aKZnhL/S9j9p5yk2VjVYL06mDkiaS4ucpo6qtWSz2fjwww959tlnPRIxU1JSiIyMJCQkhKSkJJYvX95oaQOr1YrV+mOF6oqKihb3qaU3W2e8SVsyfdYZxyGRtDayvlz709ADmXtV8IIN6ZwqNKFRqxg3wGXv48P88NVr6hXs/dsvhisLYAorqhTNO3cbmTogaS4tmp7rKP71r3/x0EMPkZOTQ2xsLACffPIJAQEBJCQkcPbsWV5++WXsdjtpaWkYDAav51m6dCl/+MMf6m1vSYiwpZGW1orQdHSkp6OvL7m66Irh+quFzvbZe5uGq73vq8wC/Go5SB/vy+Gj712yKA+NjG/wIW5V8slmtZO0PZ3tN9ccupTTNHHiRPR6PZ9//nmDbfLz80lISGDDhg3ce++9Xtt4izT16NHjsr+4zuAwNGZYJJKuRlc0olcLne2zb8i+eosUubf/fWc2AjxqfNY9T0PHS9qfzvabaw4tErfsCM6dO0dycjJz585ttF1MTAwJCQmcOnWqwTYGg4GgoCCPV0twT015E31sL6TomkTStdixYwf33HMPsbGxqFQqNm/e7LG/sLCQ2bNnExsbi5+fH5MmTWrUnrlZtWoV/fr1w9fXlx49evDMM89QVVVfsLYzU1tQsiGBWvdKOX+Dtp5jNPe2Xkr5k9rta9tpd33Ql+q0k0iaQ5dxmtatW0dkZCRTpkxptF1JSQm5ubnExMS0eZ/qOiyNKWu3FVL5WiLpWpjNZoYMGcLbb79db58QgunTp5Odnc2WLVtIT08nISGB8ePHYzabGzznP//5T1544QWWLFlCVlYW77//Pp988olSXLir0JwHUXeRXXNNUd6mjpMPlpLW5Iprz7UHTqeTdevWMWvWLLTaH7tsMplYunQp9913HzExMfzwww/87ne/IyIigp/+9Kdt3q+6qztkUrREImmKyZMnM3nyZK/7Tp06xd69e8nMzOSGG24A4K9//SuRkZF8/PHHDUba9+zZw6233spDDz0EuPTtZsyYwb59+9pmEG1EcxKyo4J8CKgpyuvWtmuqaLhE0lpcVqQpNjaWefPm8eWXX2Kz2dqqT/VITk4mJyeHxx57zGO7RqPhyJEjTJs2jb59+zJr1iz69u3Lnj17OqSopnyikUiuLtrb5rlzLX18fowcazQa9Ho9u3btavC4MWPGkJaWpjhJ2dnZfPHFF01G5jsbzY2c17a17qLhAbWm62rTGdIoJFcPlxVp+uijj/j888/59a9/TWFhIRMnTmTq1KlMmTLlssQkL5cJEyZ4VeP19fXl66+/brPrXi6tqZ4tkUg6nva2ef379ychIYEXX3yRd999F39/f958800KCgrIz89v8LgHH3yQ4uJixowZgxACu93OvHnzeOGFFxo8pjWlV1obd47S+AFRJGcVepUdcFdSaCrKJOUEJK1Ji1fPHT16lM8++0yZdx81ahTTpk1j6tSp9O7du7X72aaUl5cTEhJCbm5ul8ngl0iuRtwrWcvKyggOrq/c3JG0hc1TqVRs2rSJ6dOnK9vS0tKYM2cOhw4dQqPRMH78eNRq16TAF1984fU8KSkpPPjggyxbtoyRI0dy+vRpFixYwOOPP87LL7/s9ZjLkV5p75XC7lXB7iLmDa0OlquHuzZdcfUcohUoKCgQ7733nrj77ruFr6+vuOGGG8R///vf1jh1u5CbmysA+ZIv+eokr9zc3I42C43SWjYPEJs2bfK6r6ysTBQVFQkhhBgxYoR48sknGzzPmDFjxG9+8xuPbf/4xz+Er6+vcDgcXo+pqqoS5eXlysttB8vLy+u1feubE2LK/7dDvPXNiWaOzDsF5ZXirW9OiILyyma1O3K+rNH2R86XiQfe3S2OnC+7on5JOoby8vIGf3OdlVZJBI+KiuLxxx/n8ccfx2Kx8PXXXzcoLNkZiY2NJTc3l8DAQA+l8asF99P7tRJJu5bGe7WNVQiB0WhUxGs7K+1h89yRtlOnTnHgwAH+9Kc/NdjWYrEo0Sg3Go0GIUSDhYYNBkOz+9xaU1zNXSxTO9XBW604N8lZhZisdpKzChttJ5G0Fi1ymh5++GGSkpIYO3Ysfft6/vD9/PzaZeVaa6JWq+nevXtHd6PNuRJNqq7ItTTeq2msnW1aDlrX5plMJk6fPq28P3v2LBkZGYSFhREfH8+///1vunXrRnx8PEeOHGHBggVMnz6dCRMmKMc88sgjxMXF8corrwBwzz338OabbzJs2DBleu7ll19m6tSpaDSaKxx96+VrXq7z1dS0oMxXkrQ3LXKaAgICePPNN/nVr35FdHQ0SUlJikHp379/a/dRIpFIOpTWtHkHDhzgjjvuUN4/++yzAMyaNYsPPviA/Px8nn32WQoLC4mJieGRRx6pl5eUk5PjEVlavHgxKpWKxYsXk5eXR7du3bjnnntYvnz5FYy69blc56upyJRcfCNpb66ojEpBQQEpKSmkpKSQmprKyZMniYyMbHSVh6T96ZLJdlfAtTTea2msnYGr2eZ1xt9SZyhVJWk7OuNvrimuKKcpMDCQ0NBQQkNDCQkJQavVEh0d3Vp9k7QSBoOBJUuWdKk8syvhWhrvtTTWzoC0ee2LjCRJOhstijT99re/JTU1lUOHDpGYmMjtt99OUlISt99+OyEhIW3QTYlEIuk4rgWb19me+puKMl1uFEpGrTofne031xxaFGl6/fXX6datG0uWLGHatGkMGDCgtfslkUgknQZp89qfpvKZLrdslSxzJWkNWuQ0paenk5qaSkpKCm+88QYajUZJihw7dqw0KBKJ5KpC2rz2p6mVcZe7ck6utJO0BleUCO7m0KFDrFq1ig8//BCn04nD4WiNvkkkEkmn5Gq0eV1xqkTStemKv7kWJ4Knp6crq0h27txJRUUFQ4cO9VhKK5FIJFcL0uZJJBJ1003qExoayogRI/jnP/9Jnz59+L//+z8uXbrEgQMHeP3111u7j5IG2LFjB/fccw+xsbGoVCo2b97ssV8IwdKlS4mNjcXX15exY8dy9OhRjzZWq5X58+cTERGBv78/U6dO5fz58+04iubR1Fhnz56NSqXyeN1yyy0ebbrKWF955RVuvvlmAgMDiYyMZPr06Zw4ccKjzdX03XYFpM27cgorqliVfJLCiqqO7opE0mJa5DT94x//oKSkhAMHDvDnP/+Zu+++u8uE1q4mzGYzQ4YM4e233/a6/7XXXuPNN9/k7bffZv/+/URHR3PnnXdiNBqVNgsXLmTTpk1s2LCBXbt2YTKZuPvuuzvddENTYwWYNGkS+fn5yqtucdOuMtbU1FSeeuop9u7dyzfffIPdbmfChAmYzWalzdX03XYFpM27ctyJ2B/vy2mybXMcLOmESTqEDqp5J2llqFP40+l0iujoaPHqq68q26qqqkRwcLD429/+JoRwFQTV6XRiw4YNSpu8vDyhVqvFV1991W59v1zqjlUIIWbNmiWmTZvW4DFddaxCCFFUVCQAkZqaKoS4ur9bScfR1sVTm1usV4jmFQhurSLCko6jKxbsbVGkSdL5OXv2LAUFBR71qgwGA0lJSezevRuAtLQ0qqurPdrExsaSmJiotOlKpKSkEBkZSd++fXn88ccpKipS9nXlsZaXlwMQFhYGXJvfraTr4xaqbI5G0owR8YwfENXoSrfmtJFIWpsrUgSXdF4KCgoAVzX22kRFRXHu3DmljV6vJzQ0tF4b9/FdhcmTJ3P//feTkJDA2bNnefnll/nJT35CWloaBoOhy45VCMGzzz7LmDFjSExMBK6971Zy7dEcJXCpFi7pCKTTdJWjUqk83gsh6m2rS3PadDYeeOAB5f+JiYncdNNNJCQksHXrVu69994Gj+vsY3366ac5fPgwu3btqrfvWvluJRKJpLMgp+euUtz1sOpGFYqKipQIRXR0NDabjdLS0gbbdFViYmJISEjg1KlTQNcc6/z58/nss8/Yvn073bt3V7Zf69+tRCKRdBTSabpK6dmzJ9HR0XzzzTfKNpvNRmpqKqNHjwZg+PDh6HQ6jzb5+flkZmYqbboqJSUl5ObmEhMTA3StsQohePrpp9m4cSP/+9//6Nmzp8f+a/27lUgkko5CTs91YUwmE6dPn1benz17loyMDMLCwoiPj2fhwoWsWLGCPn360KdPH1asWIGfnx8PPfQQAMHBwcyZM4fnnnuO8PBwwsLC+M1vfsOgQYMYP358Rw3LK42NNSwsjKVLl3LfffcRExPDDz/8wO9+9zsiIiL46U9/CnStsT711FN89NFHbNmyhcDAQCWiFBwcjK+vLyqV6qr6biXXFrJwrqRL04Er9yRXyPbt2wVQ7zVr1iwhhGtp+pIlS0R0dLQwGAzi9ttvF0eOHPE4R2VlpXj66adFWFiY8PX1FXfffbfIycnpgNE0TmNjtVgsYsKECaJbt25Cp9OJ+Ph4MWvWrHrj6Cpj9TZOQKxbt05pczV9t5LOQXst/5ZSARI3XVFyoFVqz0kkEomka9NedcBkpEni5pqqPSeRSCQSyeUipQIkXRmZCC6RSCQSiUTSDKTTJJFIJBKJRNIM5PScRCKRSHCnt1ZUVHRwTyTXCu7fWldKrZZOk0QikUgwGo0A9OjRo4N7IrnWMBqNBAcHd3Q3moVcPSeRSCQSnE4nFy5cIDAwsENK7VRUVNCjRw9yc3O7zEqqy0WO0RMhBEajkdjYWNTqrpEtJCNNEolEIkGtVnuU6+kogoKCrlqHwo0c4490lQiTm67h2kkkEolEIpF0MNJpknQJZs+ezfTp0zu6G63C2LFjWbhwYbPbf/DBB4SEhLRZfyQSiUTSPOT0nKRJUlJSmDFjBhcuXOiQXAeA1atXd6kVFhKJ5PIwGAwsWbIEg8HQ0V1pM+QYuz7SaZI0yWeffcbUqVM7zGGCrjfvLZFILg+DwcDSpUs7uhttihxj10dOz11DfP7554SEhOB0OgHIyMhApVKxaNEipc0vf/lLZsyY4XGc22kCsFqt/PrXvyYyMhIfHx/GjBnD/v37G73uddddx4oVK3jssccIDAwkPj6e9957z6PNkSNH+MlPfoKvry/h4eE88cQTmEwmZX/d6bn//Oc/DBo0SGk/fvx4zGazsn/dunUMGDAAHx8f+vfvz1//+tdG+zh27Fjmz5/PwoULCQ0NJSoqivfeew+z2cyjjz5KYGAgvXv35ssvv/Q4LjU1lREjRmAwGIiJieGFF17Abrcr+81mM4888ggBAQHExMTwxhtv1Lu2zWbj+eefJy4uDn9/f0aOHElKSkqj/ZVIJBJJ+yOdpmuI22+/HaPRSHp6OuD6gx8REUFqaqrSJiUlhaSkJOX90aNHKSgoYNy4cQA8//zzfPrpp6xfv56DBw9y/fXXM3HiRC5dutTotd944w1uuukm0tPTefLJJ5k3bx7Hjx8HwGKxMGnSJEJDQ9m/fz///ve/SU5O5umnn/Z6rvz8fGbMmMFjjz1GVlYWKSkp3Hvvvcr03dq1a3nppZdYvnw5WVlZrFixgpdffpn169c32sf169cTERHBvn37mD9/PvPmzeP+++9n9OjRHDx4kIkTJzJz5kwsFgsAeXl53HXXXdx8880cOnSINWvW8P7777Ns2TLlnIsWLWL79u1s2rSJbdu2kZKSQlpamsd1H330Ub777js2bNjA4cOHuf/++5k0aRKnTp1qtL8SiUQiaWeE5JrixhtvFH/+85+FEEJMnz5dLF++XOj1elFRUSHy8/MFILKyspT2y5cvF/fee68QQgiTySR0Op345z//qey32WwiNjZWvPbaaw1eMyEhQfziF79Q3judThEZGSnWrFkjhBDivffeE6GhocJkMilttm7dKtRqtSgoKBBCCDFr1iwxbdo0IYQQaWlpAhA//PCD1+v16NFDfPTRRx7b/vSnP4lRo0Y12MekpCQxZswY5b3dbhf+/v5i5syZyjb357Nnzx4hhBC/+93vRL9+/YTT6VTavPPOOyIgIEA4HA5hNBqFXq8XGzZsUPaXlJQIX19fsWDBAiGEEKdPnxYqlUrk5eV59GfcuHHixRdfFEIIsW7dOhEcHNxg3yUSiUTSPshI0zXG2LFjSUlJQQjBzp07mTZtGomJiezatYvt27cTFRVF//79lfZbtmxRpubOnDlDdXU1t956q7Jfp9MxYsQIsrKyGr3u4MGDlf+rVCqio6MpKioCICsriyFDhuDv76+0ufXWW3E6nZw4caLeuYYMGcK4ceMYNGgQ999/P2vXrqW0tBSA4uJicnNzmTNnDgEBAcpr2bJlnDlzptl91Gg0hIeHM2jQIGVbVFQUgEe/R40a5ZHrdeutt2IymTh//jxnzpzBZrMxatQoZX9YWBj9+vVT3h88eBAhBH379vXob2pqapP9lUg6Azt27OCee+4hNjYWlUrF5s2bPfYXFhYye/ZsYmNj8fPza1YUdezYsahUqnqvKVOmKG2WLl1ab390dHRbDJFXXnmFm2++mcDAQCIjI5k+fXo92ySEYOnSpcTGxuLr68vYsWM5evRok+f+9NNPGThwIAaDgYEDB7Jp06Z6bf7617/Ss2dPfHx8GD58ODt37my1sblpqzGuXbuW2267jdDQUEJDQxk/fjz79u3zaNOe3+WVIp2ma4yxY8eyc+dODh06hFqtZuDAgSQlJZGamlpvaq6goICDBw8qhkrUTH/VTQgXQjSZJK7T6Tzeq1QqJbeqseO9bddoNHzzzTd8+eWXDBw4kL/85S/069ePs2fPKudcu3YtGRkZyiszM5O9e/dedh9rb3P3pbF+1/6MRDNW+zmdTjQaDWlpaR79zcrKYvXq1U0eL5F0NGazmSFDhvD222/X2yeEYPr06WRnZ7NlyxbS09NJSEiol4NYl40bN5Kfn6+8MjMz0Wg03H///R7tbrjhBo92R44cafXxgSuV4amnnmLv3r1888032O12JkyY4DGG1157jTfffJO3336b/fv3Ex0dzZ133qmUp/HGnj17eOCBB5g5cyaHDh1i5syZ/PznP+f7779X2nzyyScsXLiQl156ifT0dG677TYmT55MTk5Olxije/X19u3b2bNnD/Hx8UyYMIG8vDyPdu31XV4xHRThknQQZWVlQq1Wi1mzZomf/exnQgghNm/eLEaOHCn69u0r3nnnHaXtu+++K2677TblvclkEnq9vt70XFxcnHj99dcbvGZCQoJ46623PLYNGTJELFmyRAhx+dNzdbHb7SIuLk688cYbQggh4uLixB//+MemP4xaJCUlKVNmjfUbEJs2bRJCNDw9FxgYqEzP6XQ68cknnyj7L126JPz8/JRrnThxQgBix44dDfZNTs9Jugq17w8hfvx9Z2ZmKtvsdrsICwsTa9eubfZ533rrLREYGOhhI5YsWSKGDBnSGt2+bIqKigQgUlNThRCulIPo6Gjx6quvKm2qqqpEcHCw+Nvf/tbgeX7+85+LSZMmeWybOHGiePDBB5X3I0aMEL/61a882vTv31+88MILrTGUBmmtMdbFbreLwMBAsX79emVbR36Xl4uMNF1jBAcHM3ToUD788EPGjh0LuBLEDx48yMmTJ5Vt4Fo1N23aNOW9v78/8+bNY9GiRXz11VccO3aMxx9/HIvFwpw5c1rcp4cffhgfHx9mzZpFZmYm27dvZ/78+cycOVOZEqvN999/z4oVKzhw4AA5OTls3LiR4uJiBgwYALhCva+88gqrV6/m5MmTHDlyhHXr1vHmm2+2uI/eePLJJ8nNzWX+/PkcP36cLVu2sGTJEp599lnUajUBAQHMmTOHRYsW8e2335KZmcns2bM9aiz17duXhx9+mEceeYSNGzdy9uxZ9u/fz8qVK/niiy9atb8SSXtjtVoB8PHxUbZpNBr0ej27du1q9nnef/99HnzwQY8pfIBTp04RGxtLz549efDBB8nOzm6djjdBeXk54JpuBzh79iwFBQVMmDBBaWMwGEhKSmL37t0NnmfPnj0exwBMnDhROcZms5GWllavzYQJExo9b2vQWmOsi8Viobq6Wjmvm476Li8XqdN0DXLHHXdw8OBBxUEKDQ1l4MCBXLhwQXE8zGYz3377LW+99ZbHsa+++ipOp5OZM2diNBq56aab+PrrrwkNDW1xf/z8/Pj6669ZsGABN998M35+ftx3330NOjlBQUHs2LGDVatWUVFRQUJCAm+88QaTJ08GYO7cufj5+fH666/z/PPP4+/vz6BBgy5Lhbs5xMXF8cUXX7Bo0SKGDBlCWFgYc+bMYfHixUqb119/HZPJxNSpUwkMDOS5555TjJGbdevWsWzZMp577jny8vIIDw9n1KhR3HXXXa3aX4mkvenfvz8JCQm8+OKLvPvuu/j7+/Pmm29SUFBAfn5+s86xb98+MjMzef/99z22jxw5kv/7v/+jb9++FBYWsmzZMkaPHs3Ro0cJDw9vi+EArinHZ599ljFjxpCYmAi4UhmAeg95UVFRnDt3rsFzFRQUeD3Gfb6LFy/icDgabdMWtOYY6/LCCy8QFxfH+PHjlW0d9V22iI4OdUk6J59++qkYMGBAR3dDIpF0IagzPSeEEAcOHBBDhgwRgNBoNGLixIli8uTJYvLkyc065xNPPCESExObbGcymURUVJQyTd9WPPnkkyIhIUHk5uYq27777jsBiAsXLni0nTt3rpg4cWKD59LpdPVW+n744YfCYDAIIYTIy8sTgNi9e7dHm2XLlol+/fpd6VAapDXHWJuVK1eK0NBQcejQoUbbtdd32RLk9JzEKwEBAaxcubKjuyGRSLo4w4cPJyMjg7KyMvLz8/nqq68oKSmhZ8+eTR5rsVjYsGEDc+fObbKtO6Lclvpm8+fP57PPPmP79u10795d2e5e6VU3+lNUVOQ1xaD2cY0dExERgUajuezzXgmtPUY3f/7zn1mxYgXbtm3zWKnsjfb4LluKdJokXpkwYQL33HNPR3dDIpFcJQQHB9OtWzdOnTrFgQMHPPIlG+Jf//oXVquVX/ziF022tVqtZGVlERMT0xrd9UAIwdNPP83GjRv53//+V8/h69mzJ9HR0XzzzTfKNpvNRmpqKqNHj27wvKNGjfI4BmDbtm3KMXq9nuHDh9dr88033zR63pbQVmMEV5rCn/70J7766ituuummJvvSlt/lFdPRoS6JRCKRdF2MRqNIT08X6enpAhBvvvmmSE9PF+fOnRNCCPGvf/1LbN++XZw5c0Zs3rxZJCQkKIK5bmbOnOl1NdiYMWPEAw884PW6zz33nEhJSRHZ2dli79694u677xaBgYENit5eCfPmzRPBwcEiJSVF5OfnKy+LxaK0efXVV0VwcLDYuHGjOHLkiJgxY4aIiYkRFRUVDY7zu+++ExqNRrz66qsiKytLvPrqq0Kr1Yq9e/cqbTZs2CB0Op14//33xbFjx8TChQuFv79/q4+zrca4cuVKodfrxX/+8x+P8xqNRqVNe36XV4p0miQSiUTSYrZv3y6Aeq9Zs2YJIYRYvXq16N69u9DpdCI+Pl4sXrxYWK1Wj3MkJSUp7d245Qq2bdvm9boPPPCAiImJETqdTsTGxop7771XHD16tC2G6HV8gFi3bp3Sxul0iiVLlojo6GhhMBjE7bffLo4cOeJxHm/j/Pe//y369esndDqd6N+/v/j000/rXf+dd94RCQkJQq/XixtvvFGRAegKY0xISPB6XrfkjBDt+11eKSohmqHAJ5FIJBKJRHKNI3OaJBKJRCKRSJqBdJokEolEIpFImoF0miQSiUQikUiagXSaJBKJRCKRSJqBdJokEolEIpFImoF0miQSiUQikUiagXSaJBKJRCKRSJqBdJokEolEIpFImoF0miQSiUQikUiagXSaJBKJRCJpgNmzZzN9+vSO7karMHbsWBYuXNjs9h988AEhISFt1p+uiLajOyCRSCQSiTdSUlKYMWMGFy5cQKVSdUgfVq9ejaw2JnEjnSaJRCKRdEo+++wzpk6d2mEOE0BwcHCHXVvS+ZDTcxKJRCJpUz7//HNCQkJwOp0AZGRkoFKpWLRokdLml7/8JTNmzPA4zu00AVitVn79618TGRmJj48PY8aMYf/+/Y1e97rrrmPFihU89thjBAYGEh8fz3vvvefR5siRI/zkJz/B19eX8PBwnnjiCUwmk7K/7vTcf/7zHwYNGqS0Hz9+PGazWdm/bt06BgwYgI+PD/379+evf/1ro30cO3Ys8+fPZ+HChYSGhhIVFcV7772H2Wzm0UcfJTAwkN69e/Pll196HJeamsqIESMwGAzExMTwwgsvYLfblf1ms5lHHnmEgIAAYmJieOONN+pd22az8fzzzxMXF4e/vz8jR44kJSWl0f5e60inSSKRSCRtyu23347RaCQ9PR1w/cGPiIggNTVVaZOSkkJSUpLy/ujRoxQUFDBu3DgAnn/+eT799FPWr1/PwYMHuf7665k4cSKXLl1q9NpvvPEGN910E+np6Tz55JPMmzeP48ePA2CxWJg0aRKhoaHs37+ff//73yQnJ/P00097PVd+fj4zZszgscceIysri5SUFO69915l+m7t2rW89NJLLF++nKysLFasWMHLL7/M+vXrG+3j+vXriYiIYN++fcyfP5958+Zx//33M3r0aA4ePMjEiROZOXMmFosFgLy8PO666y5uvvlmDh06xJo1a3j//fdZtmyZcs5Fixaxfft2Nm3axLZt20hJSSEtLc3juo8++ijfffcdGzZs4PDhw9x///1MmjSJU6dONdrfaxohkUgkEkkbc+ONN4o///nPQgghpk+fLpYvXy70er2oqKgQ+fn5AhBZWVlK++XLl4t7771XCCGEyWQSOp1O/POf/1T222w2ERsbK1577bUGr5mQkCB+8YtfKO+dTqeIjIwUa9asEUII8d5774nQ0FBhMpmUNlu3bhVqtVoUFBQIIYSYNWuWmDZtmhBCiLS0NAGIH374wev1evToIT766COPbX/605/EqFGjGuxjUlKSGDNmjPLebrcLf39/MXPmTGWb+/PZs2ePEEKI3/3ud6Jfv37C6XQqbd555x0REBAgHA6HMBqNQq/Xiw0bNij7S0pKhK+vr1iwYIEQQojTp08LlUol8vLyPPozbtw48eKLLwohhFi3bp0IDg5usO/XIjLSJJFIJJI2Z+zYsaSkpCCEYOfOnUybNo3ExER27drF9u3biYqKon///kr7LVu2KFNzZ86cobq6mltvvVXZr9PpGDFiBFlZWY1ed/Dgwcr/VSoV0dHRFBUVAZCVlcWQIUPw9/dX2tx66604nU5OnDhR71xDhgxh3LhxDBo0iPvvv5+1a9dSWloKQHFxMbm5ucyZM4eAgADltWzZMs6cOdPsPmo0GsLDwxk0aJCyLSoqCsCj36NGjfLI9br11lsxmUycP3+eM2fOYLPZGDVqlLI/LCyMfv36Ke8PHjyIEIK+fft69Dc1NbXJ/l7LyERwiUQikbQ5Y8eO5f333+fQoUOo1WoGDhxIUlISqamplJaWekzNFRQUcPDgQaZMmQKgTH/VTQgXQjSZJK7T6Tzeq1QqJbeqseO9bddoNHzzzTfs3r2bbdu28Ze//IWXXnqJ77//Hj8/P8A1RTdy5Mh6x11uH2tvc/elsX7X/oxEM1b7OZ1ONBoNaWlp9foXEBDQ5PHXKjLSJJFIJJI2x53XtGrVKpKSklCpVCQlJZGSklIvn+mzzz5j1KhRREREAHD99dej1+vZtWuX0qa6upoDBw4wYMCAFvdp4MCBZGRkeCRyf/fdd6jVavr27ev1GJVKxa233sof/vAH0tPT0ev1bNq0iaioKOLi4sjOzub666/3ePXs2bPFfWyo37t37/Zwjnbv3k1gYCBxcXFcf/316HQ69u7dq+wvLS3l5MmTyvthw4bhcDgoKiqq19/o6OhW7e/VhHSaJBKJRNLmBAcHM3ToUD788EPGjh0LuBypgwcPcvLkSWUbuJymadOmKe/9/f2ZN28eixYt4quvvuLYsWM8/vjjWCwW5syZ0+I+Pfzww/j4+DBr1iwyMzPZvn078+fPZ+bMmcqUWG2+//57VqxYwYEDB8jJyWHjxo0UFxcrjtvSpUt55ZVXWL16NSdPnuTIkSOsW7eON998s8V99MaTTz5Jbm4u8+fP5/jx42zZsoUlS5bw7LPPolarCQgIYM6cOSxatIhvv/2WzMxMZs+ejVr945/8vn378vDDD/PII4+wceNGzp49y/79+1m5ciVffPFFq/b3akJOz0kkEomkXbjjjjs4ePCg4iCFhoYycOBALly4oDgeZrOZb7/9lrfeesvj2FdffRWn08nMmTMxGo3cdNNNfP3114SGhra4P35+fnz99dcsWLCAm2++GT8/P+67774GnZygoCB27NjBqlWrqKioICEhgTfeeIPJkycDMHfuXPz8/Hj99dd5/vnn8ff3Z9CgQZelwt0c4uLi+OKLL1i0aBFDhgwhLCyMOXPmsHjxYqXN66+/jslkYurUqQQGBvLcc89RXl7ucZ5169axbNkynnvuOfLy8ggPD2fUqFHcddddrdrfqwmVaM7kp0QikUgk7cDGjRtZvHgxx44d6+iuSCT1kNNzEolEIuk0BAQEsHLlyo7uhkTiFRlpkkgkEolEImkGMtIkkUgkEolE0gyk0ySRSCQSiUTSDKTTJJFIJBKJRNIMpNMkkUgkEolE0gyk0ySRSCQSiUTSDKTTJJFIJBKJRNIMpNMkkUgkEolE0gyk0ySRSCQSiUTSDKTTJJFIJBKJRNIM/h+wTeaJXuUW1QAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 4))\n", "for i in range(4):\n", " plt.subplot(2, 2, i + 1, aspect=1)\n", " plt.plot(p3.iloc[:, i], p4.iloc[:, i], \".\", markersize=1)\n", " plt.title(pnames[i], fontsize=\"small\")\n", " plt.xlabel(\"w/o noise model\")\n", " plt.ylabel(\"w/ noise model\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "cba022ab-0642-4b83-a9ee-2fbb7ba55c1c", "metadata": {}, "source": [ "The parameters estimated without a noise model are sometimes significantly different from parameters estimated with a noise model. Below, it is computed how many times the parameters estimated without a noise model are within the 95% confidence interval of the parameters estimated with the noise model. The largest deviation is indeed for the parameters $n$ and $a$ as could also be seen from the graphs above. " ] }, { "cell_type": "code", "execution_count": 25, "id": "4b556bc6-6090-42ce-8428-98731770eab1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([996, 240, 702, 997])" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(np.abs(p3.values - p4.values[:, :-1]) < 1.96 * sig4.values[:, :-1]).sum(0)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }