{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Random Matrices\n", "\n", "> A matrix is interesting only in those ways it fails to look like a random matrix.\n", "\n", "\n", "A random matrix is a matrix whose entries are random, i.e., random draws from some distribution(s). More precisely, the entries of a random matrix are random variables, which means their values are determined probabilistically.\n", "\n", "You would expect that a random matrix must no covariance structure, because it is random. In fact, random matrices have a covariance structure described by the Marchenko-Pastur distribution.\n", "\n", "In this lecture, we start with the maths, and then we look at a random matrix example that arises in finance. Finally, we illustrate a denoising technique based on a medical imaging example. \n", "\n", "A useful reference on the topic and the importance of random matrix in machine learning are: \n", "\n", "- https://random-matrix-learning.github.io/. \n", "\n", "- [Random Matrix Methods for Machine Learning, Couillet & Liao (2023)](https://zhenyu-liao.github.io/pdf/RMT4ML.pdf)\n", "\n", "For a connection between random matrices results in spin glasses and machine learning see:\n", "\n", "- [The Loss Surfaces of Multilayer Networks, Choromanska et al. (2014)](https://arxiv.org/abs/1412.0233)\n", "\n", "For insights from both physics and finance, see: \n", "\n", "- [A First Course in Random Matrix Theory, Potters & Bouchaud (2020)](https://www.cambridge.org/core/books/first-course-in-random-matrix-theory/2292A554A9BB9E2A4697C35BCE920304) \n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Wigner Semicircle Law\n", "\n", "\n", "Consider a matrix $M$ belonging to the **Gaussian Orthogonal Ensemble (GOE)**. \n", "\n", "Such a matrix $M$ can be a real symmetric $n \\times n$ matrix with i.i.d. entries $M_{ij}$ drawn from a normal distribution with mean 0 and variance 1. \n", "\n", "Let us compute such a matrix. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "n = 50\n", "A = np.random.randn(n, n)\n", "M = (A + A.T) / np.sqrt(2 * n)\n", "\n", "plt.figure(figsize=(5,5))\n", "plt.imshow(M, cmap='viridis')\n", "plt.colorbar(label='Value', shrink=0.8)\n", "plt.title('Random GOE Matrix')\n", "plt.xlabel('Column Index')\n", "plt.ylabel('Row Index')\n", "plt.show()\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We compute the eigenvalues of $M$, i.e., $\\lambda_1, \\ldots, \\lambda_n$ such that $M v_i = \\lambda_i v_i$ for $i=1,\\ldots, n$, where $v_1, \\ldots, v_n$ are the eigenvectors of $M$. \n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "50" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lambdas = np.linalg.eigvalsh(M)\n", "len(lambdas)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-1.78831596, -1.66285061, -1.60735989, -1.478767 , -1.37076632,\n", " -1.28266936, -1.26073123, -1.17522307, -1.15078943, -1.0505597 ,\n", " -0.87587328, -0.82994073, -0.81216264, -0.69627856, -0.63556949,\n", " -0.60146074, -0.5174084 , -0.49149304, -0.42805175, -0.34783377,\n", " -0.30842303, -0.18600724, -0.16910437, -0.0798577 , -0.06882297,\n", " -0.03037273, 0.10134173, 0.12347385, 0.19636835, 0.33194403,\n", " 0.39814771, 0.40461385, 0.48102878, 0.5181245 , 0.57489408,\n", " 0.60581731, 0.74318659, 0.74941497, 0.83245446, 0.99281742,\n", " 1.04225235, 1.06837886, 1.18588169, 1.2323374 , 1.40538206,\n", " 1.46164366, 1.54461226, 1.65577622, 1.73020455, 1.8206828 ])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lambdas" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`lambdas` is an array of length `n` containing the eigenvalues of $M$. We can present the eigenvalues in a histogram. This histogram is sometimes referred to as the **empirical eigenvalue distribution**." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "plt.hist(lambdas, bins=20, density=True, alpha=0.7, color='black', label='Eigenvalues')\n", "plt.title('Histogram of GOE Matrix Eigenvalues')\n", "plt.xlabel(r'Eigenvalue $\\lambda$')\n", "plt.ylabel('Density')\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us now consider the limiting case as $n \\to \\infty$. \n", "\n", "For instance, pick $n=1000$. " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 161 ms, sys: 38.9 ms, total: 200 ms\n", "Wall time: 164 ms\n" ] } ], "source": [ "%%time\n", "n = 1000\n", "A = np.random.randn(n, n)\n", "M = (A + A.T) / np.sqrt(2 * n)\n", "lambdas = np.linalg.eigvalsh(M)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "plt.hist(lambdas, bins=100, density=True, alpha=0.7, color='black', label='Eigenvalues')\n", "plt.title('Histogram of GOE Matrix Eigenvalues')\n", "plt.xlabel(r'Eigenvalue $\\lambda$')\n", "plt.ylabel('Density')\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "n = 10000, so the matrix is 10000 by 10000" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 6min 38s, sys: 42.3 s, total: 7min 21s\n", "Wall time: 4min 18s\n" ] } ], "source": [ "%%time\n", "n = 10000\n", "A = np.random.randn(n, n)\n", "M = (A + A.T) / np.sqrt(2 * n)\n", "lambdas = np.linalg.eigvalsh(M)\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "plt.hist(lambdas, bins=100, density=True, alpha=0.7, color='black', label='Eigenvalues')\n", "plt.title('Histogram of GOE Matrix Eigenvalues')\n", "plt.xlabel(r'Eigenvalue $\\lambda$')\n", "plt.ylabel('Density')\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The histogram converges to a semicircle. The eigenvalues are distributed according to the **Wigner semicircle distribution**:\n", "\n", "$$\n", "\\rho(\\lambda) = \\frac{2}{\\pi R^2} \\sqrt{ R^2 - \\lambda^2} \\quad \\text{for} \\quad \\lambda \\in [-R, R].\n", "$$\n", "\n", "Here with $R=2$.\n", "\n", "Note that if the standard deviation of the normal distribution is $\\sigma$, then the semicircle radius is $R = 2 \\sigma$.\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "plt.hist(lambdas, bins=100, density=True, alpha=0.7, color='black', label='Eigenvalues')\n", "\n", "x = np.linspace(-2, 2, 1000)\n", "y = 2/(np.pi*4) * np.sqrt(4 - x**2) # R=2 case\n", "plt.plot(x, y, 'r-', label='Wigner Semicircle', lw=2)\n", "\n", "plt.title('Histogram of GOE Matrix Eigenvalues')\n", "plt.xlabel(r'Eigenvalue $\\lambda$')\n", "plt.ylabel('Density')\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This property was discovered by Eugene Wigner in the 1950s, working on nuclear physics (more precisely the spaces between the energy levels of heavy nuclei). See [Wigner surmise](https://en.wikipedia.org/wiki/Wigner_surmise) for more details.\n", "\n", "Wigner's insight was as follows:\n", "\n", "> Perhaps I am now too courageous when I try to guess the distribution of the distances between successive levels (of energies of heavy nuclei). Theoretically, the situation is quite simple if one attacks the problem in a simpleminded fashion. The question is simply what are the distances of the characteristic values of a symmetric matrix with random coefficients. (Wigner, 1956)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Wishart Matrices\n", "\n", "This ensemble of matrices is called the **Wishart Ensemble** and named after the British statistician [John Wishart](https://en.wikipedia.org/wiki/John_Wishart_(statistician)). \n", "\n", "### Sample Covariance Matrices\n", "\n", "Consider $T$ observations $\\mathbf{x}_1, \\ldots, \\mathbf{x}_T$, with $\\mathbf{x}_t \\in \\mathbb{R}^N$. \n", "\n", "The **sample covariance matrix** (SCM) is defined as:\n", "\n", "$$\n", "\\mathbf{E} = \\frac{1}{T} \\sum_{t=1}^T \\mathbf{x}_t \\mathbf{x}_t^T.\n", "$$\n", "\n", "It is of size $N \\times N$. With $\\mathbf{H}$ the matrix of observations (the *data matrix*), i.e., $\\mathbf{H} = [\\mathbf{x}_1, \\ldots, \\mathbf{x}_T]$ of size $N \\times T$, we can write:\n", "\n", "$$\n", "\\mathbf{E} = \\frac{1}{T} \\mathbf{H} \\mathbf{H}^T.\n", "$$\n", "\n", "You can show that $\\mathbf{E}$ is symmetric and positive semidefinite, and therefore all its eigenvalues are real and non-negative: $\\lambda_1, \\ldots, \\lambda_N \\geq 0$.\n", "\n", "### Wishart Ensemble\n", "\n", "When the entries of $\\mathbf{H}$ are i.i.d. normal random variables, then $\\mathbf{E}$ is a **Wishart matrix** belonging to the **Wishart Ensemble**. Moreover, the probability distribution defined over the space of $\\mathbf{E}$'s is known as the **Wishart distribution**.\n", "\n", "\n", "An important parameter to characterize these matrices is the ratio $q = N/T$. \n", "\n", "When $q \\to 0$, the number of observations $T$ is much larger than the number of features $N$, and one can faithfully reconstruct the true covariance matrix from the SCM.\n", "\n", "But when $q=\\mathcal{O}(1)$, the number of observations is of the same order as the number of features, and the SCM is very distorted version of the true covariance matrix.\n", "\n", "\n", "Let us fix $q=1/2$ and look at the histogram of the eigenvalues of a Wishart matrix, as we increase the number of observations $T$.\n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "q = 1 / 2\n", "fig, ax = plt.subplots(1, 3, figsize=(15, 5)) # Larger figure size for better spacing\n", "\n", "# Define the different values of T to loop over\n", "Ts = [500, 1000, 10000]\n", "\n", "for i, T in enumerate(Ts):\n", " N = int(q * T)\n", " H = np.random.randn(N, T)\n", " E = H @ H.T / T\n", " lambdas = np.linalg.eigvalsh(E)\n", "\n", " # Plot the histogram of eigenvalues\n", " ax[i].hist(lambdas, bins=100, density=True, alpha=0.7, color='black')\n", " ax[i].set_title(f'T = {T}', fontsize=12)\n", " ax[i].set_xlabel('Eigenvalue', fontsize=10)\n", " ax[i].set_ylabel('Density', fontsize=10)\n", "\n", "# Adjust layout\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that for large $T$ the histogram converges to a seemingly continuous distribution.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Marchenko Pastur Distribution\n", "\n", "\n", "The Marchenko Pastur distribution is a distribution of eigenvalues. The formula is:\n", "\n", "$$\n", "\\rho(\\lambda) = \\frac{1}{2 \\pi q \\lambda} \\sqrt{(\\lambda_+ - \\lambda)(\\lambda - \\lambda_-)} \\quad \\text{for} \\quad \\lambda \\in [\\lambda_+, \\lambda_-],\n", "$$\n", "\n", "where $\\lambda_+, \\lambda_-$ are given by:\n", "\n", "$$\n", "\\lambda_\\pm = (1 \\pm \\sqrt{q})^2.\n", "$$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Marchenko Pastur Law\n", "\n", "The Marchenko Pastur law implies that when both $N$ and $T$ are large, the empirical eigenvalue distribution of Wishart matrices converges to the Marchenko Pastur distribution with $q=N/T$.\n", "\n", "\n", "We can verify this with our previous example where we fixed $q=1/2$.\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Parameters\n", "q = 1 / 2\n", "T = 10000\n", "N = int(q * T)\n", "\n", "# Generate the random matrix and compute eigenvalues\n", "H = np.random.randn(N, T)\n", "E = H @ H.T / T\n", "lambdas = np.linalg.eigvalsh(E)\n", "\n", "# Calculate Marchenko-Pastur distribution\n", "lambda_minus = (1 - np.sqrt(q))**2\n", "lambda_plus = (1 + np.sqrt(q))**2\n", "x = np.linspace(lambda_minus, lambda_plus, 500)\n", "mp_density = (1 / (2 * np.pi * q * x)) * np.sqrt((lambda_plus - x) * (x - lambda_minus))\n", "mp_density = np.where((x >= lambda_minus) & (x <= lambda_plus), mp_density, 0) # Set density to 0 outside the range\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plotting\n", "plt.figure(figsize=(5, 5))\n", "plt.hist(lambdas, bins=100, density=True, alpha=0.7, color='black', label='Empirical Eigenvalues')\n", "plt.plot(x, mp_density, color='red', linewidth=2, label='Marchenko-Pastur Distribution')\n", "plt.axvline(lambda_minus, color='blue', linestyle='--', label=r'$\\lambda_-$')\n", "plt.axvline(lambda_plus, color='green', linestyle='--', label=r'$\\lambda_+$')\n", "\n", "# Labels and legend\n", "# plt.title(f'Eigenvalue Distribution and Marchenko-Pastur Law (T={T})', fontsize=14)\n", "plt.xlabel('Eigenvalue', fontsize=12)\n", "plt.ylabel('Density', fontsize=12)\n", "plt.legend(fontsize=12)\n", "plt.grid(alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us now look at different values of $q$.\n", "\n", "\n", "**Case q=2:**" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Parameters\n", "q = 2\n", "T = 5000\n", "N = int(q * T)\n", "\n", "# Generate the random matrix and compute eigenvalues\n", "H = np.random.randn(N, T)\n", "E = H @ H.T / T\n", "lambdas = np.linalg.eigvalsh(E)\n", "\n", "# Calculate Marchenko-Pastur distribution\n", "lambda_minus = (1 - np.sqrt(q))**2\n", "lambda_plus = (1 + np.sqrt(q))**2\n", "x = np.linspace(lambda_minus, lambda_plus, 500)\n", "mp_density = (1 / (2 * np.pi * q * x)) * np.sqrt((lambda_plus - x) * (x - lambda_minus))\n", "mp_density = np.where((x >= lambda_minus) & (x <= lambda_plus), mp_density, 0) # Set density to 0 outside the range\n" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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+97+3vN2spB8+N9+yWbCNmTNn0r59e5NYdTodWq0WDw8PAB588EG6d+/OunXr+P7775k5cybvvfce33zzzS0fPCTsjyRqG+DoCJMm3ZgXllXQKix88D5x4gRAhY3W1aRJE/bt20deXl6Jt0J9/fXXuLi4sG3bNpNr6IsXL66QGMoiICCAXbt2GW83K1B4zAPA2Fp0dHQsc6v9Vtzd3enfvz9r1qxhzpw5rFq1iu7du1OnTh1jmQ0bNpCTk8N3331n0krftWvXbbdf0Iq/du2ayfqC0+8FCjr5eXp6mtSvpEc91q5dm9GjRzN69GgSEhLo0KED06ZNk0RtpRy1jkwKm2ScNxe5Rm0DnJxg8mTDZEW329qtixcvsm7dOuNyamoqX3zxBe3bt6+woWofeOABkpKSmD9/fpHXClqSWq0WRVFMWnVxcXGsX7++QmIoi4iICPLy8li0aJFxnV6vJyYmxqScn58fYWFhLFy4kEuXLhXZTuHbrspq+PDhXLx4kU8//ZTff/+d4cOHm7xe0DIv3BJPSUkp1Q+bggS8Z88e4zqdTsfChQtNygUHB9OkSRNmzZpFenp6ke0U1E+n0xW5Ju7n50edOnVMLmEI6+KkdWJy+GQmh0826xCi0qIWVcaWLVtMnpJWoEuXLhV63a958+Y89dRTxMbG4u/vz+eff058fHyFtmQff/xxvvjiC8aNG8f+/fvp3r07GRkZ7Nixg9GjR3P//ffTr18/5syZQ58+fRgxYgQJCQnExMTQtGlT/vjjjzve94kTJ1i2bFmR9f7+/iX2ah80aBChoaG88sornDp1ipYtW/Ldd98Z70Mv3IqcN28ePXr0oE2bNowaNYrGjRsTHx/Pr7/+yvnz5/n999/vKO6+fftSrVo1xo8fj1ar5YEHHjB5vXfv3jg5OTFgwACeffZZ0tPTWbRoEX5+fsX+aCgsKCiIu+++m4kTJ3LlyhW8vb1ZuXJlkb4GGo2GTz/9lMjISIKCgnjiiSeoW7cu58+fZ9euXVSvXp0NGzaQlpZGvXr1GDp0KO3atcPDw4MdO3YQGxtr0gtcCJBEXSqWHkJUr4e//jLMt2rFHT09yx6U1Dlp8eLFFZqomzVrxocffsirr77K8ePHadSoEatWrSIiIqLC9qHVatm8eTPTpk1jxYoVfP311/j4+NCtWzfatGkDQM+ePfnss8949913GTt2LI0aNeK9994jLi6uXIm6oJf3zcLCwkpM1Fqtlk2bNvHSSy+xdOlSNBoNgwcPZtKkSXTt2tVklLbAwEBiY2OZOnUqS5YsITk5GT8/P+66664S/4al4eLiwsCBA1m+fDm9evXCz8/P5PUWLVqwdu1a3njjDcaPH0+tWrV4/vnn8fX15cknn7zt9pcvX86zzz7Lu+++i5eXF0899RQ9evQo8pmEh4fz66+/8vbbbzN//nzS09OpVasWHTt2NI6X7ubmxujRo/n+++/55ptv0Ov1NG3alI8++ojnn3/+jj8DUbn0qp6/Eg0H41a+rdAo5jkYK2pF9pSp4gp6faekpFTM86gHDECvKOzNymKWqyuqqhY73nVGBlzvf3LHQ4hmZ2dz+vRpGjVqVOnPbC2Nkq7ZWbuGDRvSunVrNm7ceMfbsNW634n169czePBg9u7dS9euXe2q7oXZa72h8utuzmNbRm4GHjMMB+PbDSGq1+tJSEjAz8+v2EdaliWfSNtMCFEhsrKyTJZ1Oh0ffvghnp6eMtKWEOUgp76FEBXihRdeICsri86dO5OTk8M333zDL7/8wvTp0yv0tjQh7I0kaiFEhejZsyezZ89m48aNZGdn07RpUz788EPGjBlj6dCEsGmSqIUog5ufniRuGDFiBCNGjLB0GEJUOXKNWgghhLBikqhLQR7KIYQQwlLk1HcpWPqhHI6OMH78jXkhhBDm56h1ZHzn8cZ5c5FEbQOcnGDmTEtHIYQQ9s1J68TM3uY/GMupbyGEEMKKSYvaBuj1cPasYb5BAxlCVAghLEGv6jmbYjgYN6jewGxDiEqitgFZWdCokWH+TocQFUIIUT5ZeVk0mmc4GN9uCNGKJG0zISrZkiVLUBSFAwcOmH3fcXFxKIrCrFmzzL5vceNvb47770eOHGnyPHRz/+0nT55sd+OYm4skamHzCg6GiqKwd+/eIq+rqkr9+vVRFIX+/ftbIMKqb+TIkca/gaIoeHp60q5dO2bPnl0pz1f+5ZdfmDx5MteuXavwbZdk9+7dJnV0dnbG39+f8PBwpk+fXq5naReWmZnJ5MmT2b17d4VsryJZc2xVmSRqUWW4uLiwYsWKIut//PFHzp8/j7OzswWish/Ozs58+eWXfPnll0yfPh1vb2/Gjx9PVFRUhe/rl19+YcqUKWZN1AVefPFFvvzySxYuXMirr76Kt7c3kyZNolWrVvzwww8mZR977DGysrIICAgo9fYzMzOZMmVKmZPhokWLOH78eJneU1a3iu2NN94o8mAWUTHkGnUpWPp51KJ0+vbty5o1a/jggw9wcLjx1V6xYgXBwcEkJSVV2L70ej25ublW8chQa+Hg4MCjjz5qXB49ejSdOnVi1apVzJkzhzp16lgwutLJyMjA/TadQLp3787QoUNN1v3+++/07t2bBx54gGPHjlG7dm3A8JxurVZLZT5NuCBmRwsPsuDg4GDy/05UHGlRl0J0dDTHjh0jNjbW0qGIW3j44YdJTk5m+/btxnW5ubmsXbu2xDGoZ82aRZcuXfDx8cHV1ZXg4GDWrl1bpJyiKIwZM4bly5cTFBSEs7MzW7duBeDChQs89dRT1KlTB2dnZxo1asTzzz9Pbm6uyTZycnIYN24cfn5+eHl5MWTIkGJPl27ZsoXu3bvj7u5OtWrV6NevH3/++adJmZEjR+Lh4cGFCxcYNGgQHh4e+Pr6Mn78+Nv+oFRVlWeeeQYnJye++eYbAPLz83n77bdp0qQJzs7ONGzYkP/85z/lOm2t0WgIDw8HDNdLr1y5wvjx47nrrruoVq0anp6eREZG8vvvvxd574cffkhQUBBubm7UqFGDkJAQ49mSyZMn8+qrrwLQqFEj46nouLg443XZJUuWFNmmoihMnjzZuFxwTfXYsWOMGDGCGjVq0K1btzuqa7t27Zg7dy7Xrl1j/vz5xvXFXaM+cOAAERER1KxZE1dXVxo1asSTTz5p/Jx8fX0BmDJlirFuBXEX/N3/+ecf+vbtS7Vq1XjkkUeMrxW+Rl3Yf//7XwICAnB1dSUsLIyjR4+avB4eHm78WxVWeJu3i624a9QF36uWLVvi4uJS4veqYcOG9O/fn7179xIaGoqLiwuNGzfmiy++KP4DtzPy80dUGQ0bNqRz58589dVXREZGAoakl5KSwkMPPcQHH3xQ5D3z5s1j4MCBPPLII+Tm5rJy5UqGDRvGxo0b6devn0nZH374gdWrVzNmzBhq1qxJw4YNuXjxIqGhoVy7do1nnnmGli1bcuHCBdauXUtmZiZOTk7G97/wwgvUqFGDt956i9OnT/PBBx8wZswYVq1aZSzz5ZdfEhUVRUREBO+99x6ZmZksWLCAbt268b///c/kQKzT6YiIiKBTp07MmjWLHTt2MHv2bJo0acLzzz9f7Gek0+l48sknWbVqFevWrTPW8emnn2bp0qUMHTqUV155hX379jFjxgz++usv1q1bd8d/k3/++QcAHx8f/v33X7799luGDBlCkyZNSEhI4JNPPiEsLIxjx44ZW9yLFi3ixRdfZOjQobz00ktkZ2fzxx9/sG/fPkaMGMGQIUM4ceIEX331Ff/973+pWbMmAL6+vnd0nXjYsGE0a9aM6dOnl6vlO3ToUJ566im+//57pk2bVmyZhIQEevfuja+vLxMmTMDLy4u4uDjjDyZfX18WLFjA888/z+DBgxkyZAgAbdu2NW4jPz+fiIgIunXrxqxZs3Bzc7tlXF988QVpaWlER0eTnZ3NvHnz6NmzJ0eOHMHf37/U9StNbDcr+F4NGTKEcePGsX///hK/V6dOnTJ+hlFRUXz++eeMHDmS4OBggoKCSh1nlaSKUktJSVEBNSUlpWI22L+/qhswQP2xVy91wIABav/+/Ystlp2tqqNHG6bs7DvbVVZWlnrs2DE1KyurHAFXHL1er+bm5qp6vb7c21q8eLEKqLGxser8+fPVatWqqZmZmaqqquqwYcPUHj16qKqqqgEBAWq/fv1M3ltQrkBubq7aunVrtWfPnibrAVWj0ah//vmnyfrHH39c1Wg0amxsbLF1LBxfr169VL1eb6z72LFjVa1Wq167dk1VVVVNS0tTvby81FGjRpls5/Lly2r16tVN1kdFRamAOnXqVJOyd911lxocHGxcPn36tAqoM2fOVPPy8tThw4errq6u6rZt24xlDh8+rALq008/bbKt8ePHq4D6ww8/FKnbzaKiolR3d3c1MTFRTUxMVE+dOqVOnz5dVRRFbdu2raqqqpqdna3m5+eb/N1Pnz6tOjs7m9Tj/vvvV4OCgm65v5kzZ6qAevr0aZP1BfVdvHhxkfcA6qRJk4zLkyZNUgH14Ycfvm39VFVVd+3apQLqmjVrSizTrl07tUaNGsblgr/9v//+q+bm5qrffPON8btaksTExCKxFij4u0+YMKHY1wICAozLBZ+Fq6urev78eeP6ffv2qYD68ssvG9eFhYWpYWFht93mrWIr+DwLFHyvnnrqKZO/eXHfq4CAABVQ9+zZY1yXkJCgOjs7q6+88kqRfRVmzmNbdl62OnrjaHX0xtFqdt6tD8Y6nU69dOmSqtPpin29LPlEWtQ2wNkZYmIqaeMhIXD5ciVt/NaK/fLVqgXluI3pwQcfZOzYsWzcuJE+ffqwcePGYlvSBVxdXY3zV69eRafT0b17d7766qsiZcPCwggMDDQu6/V61q9fz4ABAwgJCSlS/ubTgM888wyKohhbbd27d2fu3LmcOXOGtm3bsn37dq5du8bDDz9scj1dq9XSqVMndu3aVWQfzz33nMly9+7d+fLLL4uUy83NZdiwYWzfvp3NmzebnObcvHkzAOPGjTN5zyuvvMKsWbPYtGkTPXr0KLLNm2VkZBhPjRbo0qWLMR5nZ2dUVUWv16PT6UhJScHDw4MWLVpw6NAh43u8vLw4f/48sbGxZnkQzs2fYXl4eHiQlpZW4uteXl4AbNy4kXbt2t3xdeWSzpgUZ9CgQdStW9e4HBoaSqdOndi8eTNz5sy5o/2XRlm/V4GBgXTv3t247OvrS4sWLfj3338rLcaycnZwJqZfZR2MSyaJ2t5dvgwXLph9t5V1t6Wvry+9evVixYoVZGZmotPpinT8KWzjxo288847HD582OS6WXH3gzYqGHXmusTERFJTU2ndunWpYmvQoIHJco0aNQDDDwSAkydPAtCzZ89i3+/p6Wmy7OLiUiQx1qhRw7i9wmbMmEF6ejpbtmwpci3yzJkzaDQamjZtarK+Vq1aeHl5cebMGQCysrJISUkpUqZwPBs2bAAwXquvV6+e8XW9Xs/cuXNZsGABp0+fNrmW7uPjY5x//fXX2bFjB6GhoTRt2pTevXszYsQIunbtWuznUl43/13LIz09nWrVqpX4elhYGA888ABTpkzhv//9L+Hh4QwaNIgRI0aU+q4EBwcHk8/1dpo1a1ZkXfPmzVm9enWpt3EnSvu9KnDz/w8o+ftsbyRR2wBVhYIGVs2aUKFjChQ60JpT4SuBJtWpgHhGjBjBqFGjuHz5MpGRkcZWzM1++uknBg4cyD333MNHH31E7dq1cXR0ZPHixcXe5lW49X0ntFptsesLWth6vR4wXKeuVczncHOP2pK2V5yIiAi2bt3K+++/T3h4eLG91W83WMWqVat44oknio29IJ5evXqV+P7p06fz5ptvMnLkSKZOnYqPjw8ajYaxY8ca6w7QqlUrjh8/zsaNG9m6dStff/01H330EW+99RZTpky5ZYwl1eFWHezK+3ctkJeXx4kTJ275w01RFNauXctvv/3Ghg0b2LZtG08++SSzZ8/mt99+w8PD47b7cXZ2RlPB4wgXPtNTWEXc6VLaQVBu9//DGqiqSlKm4WBc062m2QZ4kURtAzIzwc/PMF/hQ4haYLQsAFSV/Px8Q/Kp4C/74MGDefbZZ/ntt99MOmrd7Ouvv8bFxYVt27aZtGYWL15cqv34+vri6elZpAftnWrSpAkAfn5+t0x4d+Luu+/mueeeo3///gwbNox169YZE39AQAB6vZ6TJ0/SqlUr43vi4+O5du2a8R7giIgIkx71ZbV27Vp69OjBwoULcXBwMB7krl27ZuwQVsDd3Z3hw4czfPhwcnNzGTJkCNOmTWPixIm4uLiUeIAsOEtx8/3VN7feKsPatWvJysoiIiLitmXvvvtu7r77bqZNm8aKFSt45JFHWLlyJU8//XSFH/wLztQUduLECZOOiTVq1Cj2FPPNn1tZYiv8vSrcqr/5e2VLMvMy8ZtlOBjLEKJClIOHhwcLFixg8uTJDBgwoMRyWq0WRVFMWg1xcXGsX7++VPvRaDQMGjSIDRs2FDs8aFlbAhEREXh6ejJ9+nTy8vKKvF7eka969erFypUr2bp1K4899pixFdu3b18A5s6da1K+4PplQc/w2rVr06tXL5OpLIq7n3jNmjVcuOnSS3Jyssmyk5MTgYGBqKpq/FwK7nW+OSF7enpSs2ZN9uzZY7L+o48+KlOsZfX7778zduxYatSoQXR0dInlrl69WuQzaN++PYDx0ktBL+6KGsxl/fr1Jp/x/v372bdvn/HOCDD8SPz7779NvmO///47P//8s8m2yhJbab9X4vakRS2qpNKMhtWvXz/mzJlDnz59GDFiBAkJCcTExNC0aVP++OOPUu1n+vTpfP/994SFhfHMM8/QqlUrLl26xJo1a9i7d2+Jp92L4+npyYIFC3jsscfo0KEDDz30EL6+vpw9e5ZNmzbRtWtXk3t078SgQYNYvHgxjz/+OJ6ennzyySe0a9eOqKgoFi5cyLVr1wgLC2P//v0sXbqUQYMGlaojWWn079+fqVOn8vTTT9O1a1eOHj3K8uXLady4sUm53r17U6tWLbp27Yq/vz9//fUX8+fPp1+/fsbrv8HBwQD83//9Hw899BCOjo4MGDAAd3d3nn76ad59912efvppQkJC2LNnDydOnKiQOoDhkkl2djY6nY7k5GR+/vlnvvvuO6pXr866deuKvWxRYOnSpSxYsIDBgwfTpEkT0tLSWLRoEZ6ensbE5urqSmBgIKtWraJ58+Z4e3vTunXrUveFuFnTpk3p1q0bzz//PDk5OcydOxcfHx9ee+01Y5knn3ySOXPmEBERwVNPPUVCQgIff/wxQUFBpKamGsuVJbaC79WiRYu4evUq4eHhxMbGVvj3yh5Ioi4FGZmsaurZsyefffYZ7777LmPHjqVRo0a89957xMXFlTpR161bl3379vHmm2+yfPlyUlNTqVu3LpGRkbe9v7U4I0aMoE6dOrz77rvMnDmTnJwc6tatS/fu3YtcH75Tjz76KGlpaYwePRpPT09mzpzJp59+SuPGjVmyZIkx2UycOJFJkyZVyD4B/vOf/5Cens5XX33FmjVr6NChA5s2bWLChAkm5Z599lmWL1/OnDlzSE9Pp169erz44ou88cYbxjIdO3bk7bff5uOPP2br1q3o9XpOnz6Nu7s7b731FomJiaxdu5bVq1cTGRnJli1b8Cu4flROBXcRODo64uXlRatWrZgyZQqjRo0q0rnvZmFhYcTGxrJy5Uri4+OpXr06oaGhLF++3KRT26effsoLL7zAyy+/TG5uLpMmTbrjRP3444+j0WiYO3cuCQkJhIaGMn/+fOPoaWDoF/DFF1/w1ltvMW7cOAIDA/nyyy9ZsWJFkeFCyxLbp59+SqNGjVi6dCnffvttpXyv7IGiWtOVeiuXmppK9erVSUlJKdID944MGIBeUdiblcUsV1dUVTX2mi0sIwMK+pjc6TXq7OxsTp8+TaNGjaxi2Eu10DVqe3vijtTd/upur/WGyq+7OY9tGbkZeMwwHIxvd41ar9eTkJCAn59fsZ3/ypJP5Bq1EEIIYcUkUQshhBBWTK5R2wAHByjoGyUPpxFCCMtw0DgQ1S7KOG+2/ZptT+KOOTtDMQ8DEkIIYUbODs4sGbTE7PuVU99CCCGEFZMWtQ1QVcPoZABubhU+kJcQQohSUFWVzDzDwdjN0c1sPfilRW0DMjMNt2d5eNxI2EIIIcwrMy8TjxkeeMzwMCZsc5BELYQQQlgxSdRCCCGEFZNELYQQQlgxSdRCCCGEFZNEXQoxMTEEBgbSsWNHS4cihBDCzkiiLoXo6GiOHTtGbGyspUMRQghhZ+Q+ahug1cLQoTfmhRBCmJ9Wo2Vo4FDjvLlIorYBLi6wZo2loxBCCPvm4uDCmmHmPxjLqW9RZWRnZ+Po6IiXlxeTJ0+2dDhCCFEhJFGLKiM/P59PP/2UgIAApk6dSkJCgqVDEkKIcpNEbQMyMgzjeyuKYV4Uz8PDg6ioKF577TVUVeWPP/6wdEhCiCokIzcDZYqCMkUhI9d8B2O5Ri1umfy1WsM18tKU1WjA1bV0ZRUFHB1vLGdmGh44UhGCgoIA+Ouvv+jVq1fFbFQIISxEWtTC+MCP4qYHHjAt6+dXctnISNOyDRuWXDYszLRsYGDF1Sc7OxuAY8eOVdxGhRDCQiRRiyrnlVdeAQwtaiGEsHVy6luQnl7yazfft32r/lmam372xcWVXPbmx7hWVON32bJl/PLLL/j5+UmiFkJUCZKoBe7u5i+rqpCff2O5Iq5Pp6en8/rrrxMZGUlQUBCzZs3iypUreHt7l3/jQghhIXLqW1QZ06dPJykpiXnz5hF4/aK3XKcWQtg6aVHbAK0W+va9MS+K+ueff5gzZw6vvPIKzZo14+rVq4DhOnW3bt0sHJ0QoirQarT0bdbXOG8ukqhtgIsLbNpk6Sis27hx4/D19eX//u//AGjVqhUgLWohRMVxcXBh0wjzH4wlUQubt23bNr777jtWrlyJ+/UL49WqVaN+/frSoUwIYfPkGrWwaXl5eYwdO5YePXowfPhwk9cCAwMlUQshbJ4kahuQkWHoQe3uLkOI3mz+/PmcOnWKDz/8sMhrQUFBnDt3jvRi7j/r1q0biqIUO73xxhvmCF0IYWMycjNwn+6O+3R3sw4hKom6FGJiYggMDKRjx44WiyEz0zAJUy+//DJ5eXnGYUMLmz17Nnq9Hg8PjyKv7d27F1VVi53eeecdc4QuhLBBmXmZZOaZ92AsiboUoqOjOXbsGLGxsZYORQghhJ2RRC2EEEJYMUnUQgghhBWTRC2EEEJYMUnUQgghhBWTAU9sgEZz4/nNNz+hSgghhHloFA1hAWHGeXORRG0DXF1h925LRyGEEPbN1dGV3SN3m32/0j4TQgghrJgkaiGEEMKKSaK2ARkZ4OtrmGQIUSGEsIyM3Ax8Z/riO9NXhhAVRSUlGSZRsuzsbBwdHfHy8mLy5MmWDkcIUQUlZSaRlGneg7EkalFl5Ofn8+mnnxIQEMDUqVNJSEiwdEhCCFFukqhFleHh4UFUVBSvvfYaqqryxx9/WDokIYQoN0nUosopeJKWPItaCFEVSKIWVU52djYAx44ds3AkQghRfpKoRZXzyiuvANKiFkJUDTIymQ3QaCAk5MZ8RbvVbQZajRYXB5dSldUoGlwdXUtVVkHBUXE0LmfmZeLm6FbakEu0bNkyfvnlF/z8/CRRCyEqlEbREFInxDhvLpKobYCrK8TGVt72PWZ4lPha32Z92TRik3HZb5YfmXmZxZYNCwgzGV6v4byGJd7GEFInhF9G/mJcDowJJG5sXNkCv0l6ejqvv/46kZGRBAUFMWvWLK5cuYK3t3e5tiuEEGAYQjR2VCUejEsgp75FlTF9+nSSkpKYN28egYGBgFynFkLYPmlRC9Inppf4mlajNVlOGF/yvck3nwqKeymuxLIKisnysejyJdR//vmHOXPm8Morr9CsWTOuXr0KGK5Td+vW7ZbvHTlyJOHh4YwcObJcMQghRGWQRG0DMjPhegORY8fArfyXck24O7mbvayqquTn5xuXy3t9ety4cfj6+vJ///d/ALRq1QqQFrUQouJk5mUSGHP9bF30sQrpV1MakqhtgKrCmTM35oWpbdu28d1337Fy5Urc3Q0/DqpVq0b9+vWlQ5kQosKoqsqZlDPGeXORa9TCpuXl5TF27Fh69OjB8OHDTV4LDAyURC2EsHmSqIVNmz9/PqdOneLDDz8s8lpQUBDnzp0jPb3oNfj+/fvj5eWFl5cXK1asYPTo0cbld9991xyhCyFEqdhdot64cSMtWrSgWbNmfPrpp5YOR5TTyy+/TF5ennHY0MJmz56NXq/Hw6Po7WcbN27k2rVrXLt2jREjRvDRRx8ZlydMmGCO0IUQolTs6hp1fn4+48aNY9euXVSvXp3g4GAGDx6Mj4+PpUMTQgghimVXLer9+/cTFBRE3bp18fDwIDIyku+//97SYQkhhBAlsqlEvWfPHgYMGECdOnVQFIX169cXKRMTE0PDhg1xcXGhU6dO7N+/3/jaxYsXqVu3rnG5bt26XLhwwRyhl4uiGG7PCgw0zIuKtWTJErmHWghxW4qiEOgbSKBvIIoZD8Y2lagzMjJo164dMTExxb6+atUqxo0bx6RJkzh06BDt2rUjIiKChISSB+mwBW5u8Oefhqmi76EWQghROm6Obvw5+k/+HP2n2e6hBhu7Rh0ZGUlkZGSJr8+ZM4dRo0bxxBNPAPDxxx+zadMmPv/8cyZMmECdOnVMWtAXLlwgNDS0xO3l5OSQk5NjXE5NTQVAr9ej1+vLWx1QFPSKgqooxl9nFbLdYuj1elRVNU7WoCAOa4nHnKTu9ld3e603VG7dC45pFXZcriAFx9ySYipLrDaVqG8lNzeXgwcPMnHiROM6jUZDr169+PXXXwEIDQ3l6NGjXLhwgerVq7NlyxbefPPNErc5Y8YMpkyZUmR9YmKi8ZnH5VK/PnogLzeXek5OAJXW+s/Ly0Ov15Ofn28yIpilqKqKTqcDMOspJGsgdbe/uttrvaHy656fn49eryc5ORlHR8fbv8FM9Ho9KSkpqKqKppjHHqalpZV6W1UmUSclJaHT6fD39zdZ7+/vz99//w2Ag4MDs2fPpkePHuj1el577bVb9vieOHEi48aNMy6npqZSv359fH198fT0LH/Q586hVxROZmVx3tUVVVXx8/MrUiwzEzp1MnzB9+1T7+j0d3Z2NmlpaTg4OODgYD1/dmv6j2VuUnf7Y6/1hsqru4ODAxqNBh8fH1xcXG7/hnLIzMuk06edANj39L5bnv7W6/UoioKvr2+xibossVrPEdtMBg4cyMCBA0tV1tnZGWdn5yLrNRpNsR98mV0/DaQUOiVd3HYVxTDGt2FeuaNnUms0GpTrp9it4Re9qqrGOKwhHnOSuttf3e213lD5dS84plXYcfk2+zqWdMw4f7v93SqussRqU53JbqVmzZpotVri4+NN1sfHx1OrVi0LRSWEEEKUT5VJ1E5OTgQHB7Nz507jOr1ez86dO+ncubMFIxNCCCHunE2d+k5PT+fUqVPG5dOnT3P48GG8vb1p0KAB48aNIyoqipCQEEJDQ5k7dy4ZGRnGXuB3KiYmhpiYGGOHCCGEEMJcbCpRHzhwgB49ehiXCzp6RUVFsWTJEoYPH05iYiJvvfUWly9fpn379mzdurVIB7Oyio6OJjo6mtTUVKpXr16ubQkhhBBlYVOnvsPDw03uBS6YlixZYiwzZswYzpw5Q05ODvv27aNTp06WC1gIG7Z7924URWH37t1lfm9cXByKopj83xRC3BmbStT2SlEgIMAw2VmH0VJZsmSJsefn3r17i7yuqir169dHURT69+9vgQjLLzMzk8mTJ99R0hRCVAxFUQioHkBA9QCz9t63qVPf9srNDeLiLB2F9XNxcWHFihV069bNZP2PP/7I+fPni73VzlZkZmYaB98JDw83yz7vuecesrKycLo+GE9ZBAQEkJWVZdf3DYuqx83RjbixcWbfryTqUqjynckGDLDIbrV6PSY3hW/YUK7t9e3blzVr1vDBBx+YDOqyYsUKgoODSUpKKtf27UV2djZOTk5oNJo7HkBCUZRKH3xCCHshp75LITo6mmPHjhEbG2vpUMQtPPzwwyQnJ7N9+3bjutzcXNauXcuIESOKfc+sWbPo0qULPj4+uLq6EhwczNq1a4uU2759O926dcPLywsPDw9atGjBf/7zH5MyH374IUFBQbi5uVGjRg1CQkJYsWLFLWPOzc3lrbfeIjg4mOrVq+Pu7k737t3ZtWuXsUxcXBy+vr4ATJkyxXiaf/Lkybfc9r///suwYcPw9vbGzc2Nu+++m02bNpmUKbgOvXLlSt544w3q1q2Lm5sbqampJV6jjomJoXHjxri6uhIaGspPP/1EeHi4SUu/uGvUI0eOpFq1aly4cIHBgwfj4eGBr68v48ePr7o/goWoAJKobUBWFnTsaJiysiwdjfVq2LAhnTt35quvvjKu27JlCykpKTz00EPFvmfevHncddddTJ06lenTp+Pg4MCwYcNMEtqff/5J//79ycnJYerUqcyePZuBAwfy888/G8ssWrSIF198kcDAQObOncuUKVNo3749+/btu2XMqampfPrpp4SHh/Pee+8xefJkEhMTiYiI4PDhwwD4+vqyYMECAAYPHsyXX37Jl19+yZAhQ0rcbnx8PF26dGHbtm2MHj2aadOmkZ2dzcCBA1m3bl2R8m+//TabNm1i/PjxTJ8+vcTT3QsWLGDMmDHUq1eP999/n+7duzNo0CDOnz9/y3oW0Ol09OvXD29vb2bNmkVYWBizZ89m4cKFpXq/EJaUlZdFx0Ud6bioI1l55jsYy6lvG6DXw4EDN+ZFyUaMGMHEiRPJysrC1dWV5cuXExYWRp06dYotf+LECVxdXY3LY8aMoUOHDsyZM4d+/foBhtZ0bm4uW7ZsoWbNmsVuZ9OmTQQFBbFmzZoyxVujRg3i4uJMEuOoUaNo2bIlH374IZ999hnu7u4MHTqU559/nrZt2/Loo4/edrvvvvsu8fHx/PTTT8Zr9qNGjaJt27aMGzeO+++/32QIw+zsbA4cOGDyWdwsNzeXN998k44dO/LDDz8YLy+0bduWkSNHUq9evdvGlZ2dzbBhw5g0aRKKovDcc8/RoUMHPvvsM55//vnbvl8IS9Kreg5cPGCcNxdpUYsq5cEHHyQrK4uNGzeSlpbGxo0bSzztDZgkpqtXr5KSkkL37t05dOiQcb2XlxcA3377bYmPpvPy8uL8+fNlvjyi1WqNSVqv13PlyhXy8/MJCQkxiaGsNm/eTGhoqEnHOg8PD5555hni4uI4VjB4/HVRUVG3TNJgGMcgOTmZUaNGmfQBeOSRR6hRo0apY3vmmWdMlrt3786///5b6vcLYW8kUYsqxdfXl169erFixQq++eYbdDodQ4cOLbH8xo0bufvuu3FxccHb29t4mjklJcVYZvjw4XTt2pWnn34af39/HnroIVavXm2StF9//XU8PDwIDQ2lWbNmREdHm5wav5WlS5fStm1bXFxc8PHxwdfXl02bNpnEUFZnzpyhRYsWRda3atXK+HphjRo1KtU2AZo2bWqy3sHBgYYNG5YqLhcXF+P19gI1atTg6tWrpXq/EPZIEnUpxMTEEBgYSMeOHS0diiiFESNGsGXLFj7++GMiIyONLeKb/fTTTwwcOBAXFxc++ugjNm/ezPbt2xkxYoTJA+5dXV3Zs2cPO3bs4LHHHuOPP/5g+PDh3HfffcZOUK1ateL48eOsXLmSbt268fXXX9OtWzcmTZp0y1iXLVvGyJEjadKkCZ999hlbt25l+/bt9OzZs0wPli+v27WmK4pWqzXLfoSoSiRRl4L0+rYtgwcPRqPR8Ntvv93ytPfXX3+Ni4sL27Zt48knnyQyMpJevXoVW1aj0XDvvfcyZ84cjh07xrRp0/jhhx9Meme7u7szfPhwFi9ezNmzZ+nXr5+xE1dJ1q5dS+PGjfnmm2947LHHiIiIoFevXkXeU9bBFQICAjh+/HiR9QXPZg8ICCjT9gq/p/B4+wD5+fnEyY3+QlQaSdSiyvHw8GDBggVMnjyZAbe4R1yr1aIoismtQXFxcaxfv96k3JUrV4q8t3379gDk5OQAkJycbPK6k5MTgYGBqKpKXl7eLWMATFrw+/bt49dffzUp5+ZmeED9tWvXStxWYX379mX//v0m28nIyGDhwoU0bNiQwMDAUm2nsJCQEHx8fFi0aBH5+fnG9cuXL5dT10JUIun1bSNK6GwsShAVFXXbMv369WPOnDn06dOHESNGkJCQQExMDE2bNuWPP/4wlps6dSp79uyhX79+BAQEkJCQwEcffUS9evWMnbV69+5NrVq16Nq1K/7+/vz111/Mnz+ffv36Ua1atRJj6N+/P9988w2DBw+mX79+nD59mo8//pjAwEDS09ON5VxdXQkMDGTVqlU0b94cb29vWrduTevWrYvd7oQJE/jqq6+IjIzkxRdfxNvbm6VLl3L69Gm+/vrrMj20voCTkxOTJ0/mhRdeoGfPnjz44IPExcWxZMkSmjRpYtYhFYWwlJpu5j8YS6K2Ae7ukJho6Siqnp49e/LZZ5/x7rvvMnbsWBo1asR7771HXFycSaIeOHAgcXFxfP755yQlJVGzZk3CwsKYMmWK8Wlqzz77LMuXL2fOnDmkp6dTr149XnzxRd54441bxjBy5EguX77MJ598wrZt2wgMDGTZsmWsWbOmyEAjn376KS+88AIvv/wyubm5TJo0qcRE7e/vzy+//MLrr7/Ohx9+SHZ2Nm3btmXDhg3G287uxJgxY1BVldmzZzN+/HjatWvHd999x4svvigjkYkqz93JncRXzX8wVtTC59zELRU85jIlJQVPT8/yb3DAAPSKwt6sLGa5uqKqKhvKOYxmSbKzszl9+jSNGjWyigOqqqrk5+fj4OBgdy2xqlZ3vV6Pr68vQ4YMYdGiRbcsW9XqXlr2Wm+o/Lpb27GtgF6vJyEhAT8/v2LPYJUln8g1aiFEqWVnZ3Pzb/svvviCK1eumO1hIULYGzn1XQqWfihHVhZERhrmt2wBM91JI0QRv/32Gy+//DLDhg3Dx8eHQ4cO8dlnn9G6dWuGDRtm6fCEqFRZeVlELjccjLc8sgVXR/McjCVRl0J0dDTR0dHGUxXmptfDjz/emBfCUho2bEj9+vX54IMPuHLlCt7e3jz++OO8++67d/Q4TCFsiV7V8+OZH43z5iKJWghRag0bNuS7776zdBhC2BW5Ri2EEEJYMUnUQgghhBWTRC2EEEJYMUnUdkZumxdCVCX2cEyTzmQ24vpQz3fM0dERgMzMTLM9KUkIISpbRkYGiqIYj3GVzc2xnAfjOyCJ2ga4u0NGRvm2odVq8fLyIiEhATA85MGSIyTJSE1Sd3uqu73WGyqn7gXbTE1NJTU1FS8vL7M8QtXdyZ2M/5TzYHwHJFGXgqUHPKkotWrVAjAma0tSVRW9Xo9Go7HLA5fU3b7qbq/1hsqtu1arpXbt2hYZ38KcJFGXgqUHPKkoiqJQu3Zt/Pz8bvnoRXPQ6/UkJyfj4+NzR09ysmVSd/uru73WGyqv7g4ODsZH1VZ1kqhtQHY2PPCAYf7rr6G8485rtVqznCa6Fb1ej6OjIy4uLnZ54JK621fd7bXeULXqnp2fzQOrDQfjrx/8GhcH8zwERBK1DdDpYPPmG/NCCCHMT6fXsfnkZuO8udj2zxshhBCiipNELYQQQlgxSdRCCCGEFZNELYQQQlgxSdRCCCGEFZNELYQQQlgxuT2rFCw9Mpm7O9jBuPNCCGHV3J3cUSeZ/2AsLepSiI6O5tixY8TGxlo6FCGEEHZGErUQQghhxSRR24DsbBg2zDBlZ1s6GiGEsE/Z+dkMWzOMYWuGkZ1vvoOxJGoboNPB2rWGSYYQFUIIy9Dpdaw9tpa1x9bKEKJCCCGEMJBELYQQQlgxSdRCCCGEFZNELYQQQlgxSdRCCCGEFZNELYQQQlgxGULUBri5QXr6jXkhhBDm5+boRvrEdOO8uUiitgGKYhjvWwghhOUoioK7k/kPxnLquxRiYmIIDAykY8eOlg5FCCGEnZFEXQqWfihHTg6MHGmYcnIsEoIQQti9nPwcRq4fycj1I8nJN9/BWBK1DcjPh6VLDVN+vqWjEUII+5Svz2fp70tZ+vtS8vXmOxhLohZCCCGsmCRqIYQQwopJohZCCCGsmCRqIYQQwopJohZCCCGsmCRqIYQQworJyGQ2wM0NEhJuzAshhDA/N0c3EsYnGOfNRRK1DVAU8PW1dBRCCGHfFEXB1938B2NJ1FWBqsKePfDFF/Dnn5CcDB4e0LgxdOgA3bpB167gIH9uIYSwNeU6ckdGRvLYY48xePBgXF1dKyomcZOcHBg3zjA/Zw44Oxd68dIleOQR2LWr6BsPH4ZvvjHMe3tDv37w4IPQp48kbSGEKKOc/BzGbTMcjOdEzMHZwfk276gY5epM9u+///Loo4/i7+9PVFQUO3bsQFXViopNXJefDx99ZJhMhhBNSoLw8CJJOt3RkXxFMd3IlSvw5ZcwYADUrw8TJsDx45UeuxBCVBX5+nw+OvARHx34yKxDiJarWXX8+HFiY2NZtmwZq1evZtmyZdSqVYsRI0bwyCOP0L59+woKUxTr6afhxAnDfL16zPL15ddatcjVatGoKnUyMmh27Rod4+MJTkjATaczlL18Gd57zzD17AkvvAD9+0srWwghrFC5b8/q2LEj8+bN48KFC2zevJmePXvyySefEBwcTOvWrXn//fc5f/58RcQqCtuxA779FoAUJyeebN6cH+vWJVerBUCvKJz38GBXvXq8HxzMI717M7VjR36pVcu0tf3DDzB4MDRpYkjcSUmWqI0QQogSVNh91BqNhoiICL788kvOnj3L0KFDOXbsGBMmTKBhw4b06tWLTZs2VdTuxLRpxtlFgYEk3ua+rXytllh/f2aEhDCyVy8+a9WKi4Xfc/YsTJhArr8/PPkkHDpUWZELIYQogwod8GTv3r0899xzNG3alDVr1hhb1LNnzyYxMZGBAwfy1ltvVeQu7dO//8Lu3QBccHdnT926ZXp7irMz65s04bkePZgcGkqsn5/xNSe9HhYvhuBg6NIFli+Xh2ALIYQFlfui5LFjx1i2bBlfffUVZ8+exc/Pj6ioKB577DGTa9QvvfQSzzzzDDExMUydOrW8uzWrmJgYYmJi0BVc47W0VauMszvq10e9ueNYKamKwkE/Pw76+VE7I4O+cXH0OncOj4Iea7/+apjGjTNcD3/2WWjQoCJqIIQQopTK1aJu3749bdq0Ye7cudx9991s3LiRCxcuMHv27GI7kvXo0YOrV6+WZ5cWER0dzbFjx4iNjbV0KAY7dhhnf65du0I2ecndnc+CghjZqxcxbdoQV63ajRcTEmD6dGjUCAYNgu3bQa+vkP0KIYS4tXK1qL28vFi4cCHDhg3D09PztuXvv/9+Tp8+XZ5d2iVXVyj42FzJgp9/BiDe1ZVLFTymaI6DA1sDAtjaoAFBV67QLy6Ozpcv46CqhuT87beGqXlzGD0aoqLAy6tCYxBCCGvk6ujK6ZdOG+fNpVyJ+osvvsDX17fEwU6ysrJITEykwfXTpW5ubgQEBJRnl3ZJo4GGDa8v/PI/4zXjP2rWNIwvWhkUhT99fPjTxwfv7Gx6nz1LnzNn8Cm4Xn3iBIwdC//5j2HAleefh7vuqpxYhBDCCmgUDQ29Gpp/v+V5c6NGjVi3bl2Jr3/33Xc0atSoPLsQNztyxDj7TynOYlSEKy4urGzenKfuvZcZHTrwh4/PjRczM2HRIsNQpcHBhlFZrl0zS1xCCGEPytWivt0oZHl5eWg08iTN8srNhf/7P8P8tPRjOF1fH2emRF1Ap9HwS506/FKnDg3S0ugbF0eP8+dvDKRy6JBheuUVGDrU0AHtnnsqr9UvhBBmlKvL5f92Gg7G0+6dhpPW6TbvqBhlTtSpqalcK9RiSk5O5uzZs0XKXbt2jZUrV1K7gjo72bO8PJg1yzA/uevfNxJ14Q5fZna2WjU+btOGpa1aEXbhAr3PnqVZSorhxexsWLbMMDVrZrgvOyoK5LsghLBhebo8Zv1qOBhPDp9svYn6v//9r/H2KkVRGDt2LGPHji22rKqqvPPOO+UKUNzk5EnDv7Vrk+Fkni/JrWQVdD4LCKBhaiq9z54l/MIFquXlGQqcPAkTJ8Ibb0Dv3vDoo4ae4y4uFo1bCCFsRZkTde/evfHw8EBVVV577TUefvhhOnToYFJGURTc3d0JDg4mJCSkwoIVQEK84V8r7JQX5+nJwtatWdyqFXdfvkzvc+doXzAkqU4HW7YYJg8PlMGDcerf3zB8qVweEUKIEpU5UXfu3JnOnTsDkJGRwZAhQ2jTpk2FByZuo149wylmK5Sn1fJT3br8VLcu/pmZ9Dp3jh7nz+OflWUokJ6O8uWXeH/5JWqdOjBihKGl3a6dZQMXQggrVK6mzKRJkyRJW0q9epaOoFTi3dxY3qIFo3r2ZELnzmxt0ID0Qk/pUi5eNFyAb98e2raFGTPg1CnLBSyEEFamTC3qqVOnoigK//d//4dGoynVUKCKovDmm2/ecYCieJ9t22Z44pWNUAvdl70wKIiOCQn0vXKFwLg4HAvuHjhyxDD95z+G270efBCGDYPGjS0bvBBCWFCZEvXkyZNRFIXXX38dJycnJk+efNv3SKKuHEklDDJjC/K0Wn6tU4fznTpx7Z9/6HrhAj0uXKBV4eFlC271mjABQkJuJG3jyC9CCGEfypSo9TeN73zzsqgcrq5w9Cjw7ru4LjNc502uIr2m05yc2NKwIVsaNsQ/M5Muly7R/eLFG7d6ARw4YJheew1CQw1Je8gQw9jjQghhJq6Orhx9/qhx3lzK/fQsUfk0GggKApRjgOE0caoV3JpV0eLd3FjXpAnrmjTBPyODbpcu0e3SJZoWTtr79xum8eMN17QHDzbc7tWunQysIoSoVBpFQ5BfkNn3W+GJOjMzk5UrV5KTk0Pfvn1lbO+KlJpqnM1wqNq/seLd3fm6aVO+btqU2hkZdL10iW4XL9Kk0GfAH38YpilTDLerDRpkmLp1gyr++Qgh7Ee5jmZPPfUU+/bt4+hRw6mA3Nxc7r77buNy9erV+eGHH7hLHtZQLrm5hqdM8vtg/sNmnMgjy9HR0mGZzSV3d9Y2bcrapk2pk55Ol8uX6XT5Mi0Ljyl+5gzMm2eYfHxgwABD0r7vPqjgJ4wJIexTri6X6T9NB+A/3f9jtpHJynV71q5duxgyZIhxecWKFRw9epTly5dz9OhRatWqxZQpU8odpL3LyzM0GqfERZGHIzpFIcdOBwm56OHB2qZNebVbN6J69eKj1q055OtLfuHT3snJsGSJIVHXrAn9+8OCBVDMULdCCFFaebo8pvw4hSk/TiFPl2e2/ZarRX358mUaFuqFu379ekJCQnj44YcBGDVqFDNnzixXgKKoTAcHuR6L4aleBR3R3PPyCE5I4O7LlwlOSLjxoJCsLNi0yTABtG4N/foZps6d5RS5EMLqleso5e7ubnxAR35+Prt37+aFF14wvl6tWjVSCncEEhUiU5JLERmOjuypW5c9devioNPRLimJu+Pj6ZOfDxcv3ih49Khheu89qFEDIiIMSbtPH0PrWwghrEy5jvgdOnRg0aJF9OjRg++++460tDQGDBhgfP2ff/7B39+/3EEKU5Koby1fq+Wgvz8H/f2JUVUaN2lCSEICHePjaX7t2o3rPVevwsqVsHIlOkDbubMhaUdEGAZcsdPLC0II61KuI/60adOIiIggJCQEVVUZOnQooaGhxtfXrVtH165dyx2kMJUlibr0FIV/q1fn3+rVWd2sGZ45OQQnJtIxPp67EhPxyM8HQAvw66+G6Y03DB3S7rvPkLR794Y6dSxaDSGE/SrXET8kJIS///6bX375BS8vL8LCwoyvXbt2jdGjR5usExUjw456fFe0VGdndtWrx6569dDq9bS6epWQ+Hg6JiTQID39RsHkZGNrGzBc246IMEzdu8tjOoUQZlPuppmvry/3339/kfVeXl689NJL5d28KIac+q4YOo2Goz4+HPXxYUlgIH6ZmXRITOSuxETaJSXhfr21Ddy4tj17tiFJh4XdaG0HBkrnPiFEpamQI35aWhpnzpzh6tWrqAUPWCjknnvuqYjd2C0XF9i/7AQ8+gguZMup70qS4ObG1oAAtgYEoNXraX7tmjFxNyt8bTs7G7ZtM0xAkosLNYcPh3vvNUxymlyIKsnFwYX9T+83zptLuY74ycnJjBkzhq+//hpdwe0whaiqiqIoxb5mSYMHD2b37t3ce++9rF271tLh3JZWCx0bxAMHAGlRm4NOo+Evb2/+8vZmeYsWeOTm0j4pibuuJ27fQs8Cr5mdDUuXGiaAli0NCbtnTwgPB29vy1RCCFGhtBotHet2NPt+y3XEHzVqFBs2bODFF1+ke/fu1KhRo6LiqlQvvfQSTz75JEsLDqy2oNDQmdKiNr90Jyf21qnD3jp1QFWpn57OXYmJdEhMpHVyMs6FH1Dz99+GKSYGPaAJDr6RuLt1MzxlRQghSqlcR/zvv/+el19+mffff7+i4jGL8PBwdu/ebekwSi03F+ataQiM5yXmkS+3DVmWonCuWjXOVavGd40b46DT0fLqVdolJ9M2KYkW166hvX4JSANw8KBhev99cHRE6dwZ906dDCOmde4M0jlQCJuQq8tl3m/zAHjp7pdsYwhRNzc3k5HJKsKePXsYMGAAderUQVEU1q9fX6RMTEwMDRs2xMXFhU6dOrF///4KjcHa5OXBa0uDeI2Z5CEHdWuTr9VytGZNlrdowetdu/JwRARTOnZkfaNG/OvpaVo4Lw9lzx6qzZyJJiyMLFdXDvj58XlgIC937w6FO7AJIaxKni6P13a8xms7XrOdIUQfffRR1q1bx+jRoysqHjIyMmjXrh1PPvmkyTjiBVatWsW4ceP4+OOP6dSpE3PnziUiIoLjx4/j5+cHQPv27ckv5oD3/fffU0c6+ohKluXgwAF/fw5cH+zHMyeHtsnJtEtKom1SEnUyM41lXXU6QhITCUlMNKzw9jbc/hUWZri+3aGDDHMqhJ0r1xFg6NCh/Pjjj/Tp04dnnnmG+vXro9Vqi5Tr0KFDqbcZGRlJZGRkia/PmTOHUaNG8cQTTwDw8ccfs2nTJj7//HMmTJgAwOHDh8tWkRLk5OSQk5NjXE69fp1Yr9ejL3xN8k4pCnpFQVUUlOu39xS3XcMqzU1vte3bgZTrdbb1epRGmosLP9ety8916wLgl5VFuF5PvePHaZuUhHeh7xhpabB5s2ECVA8P6NoVNTzckLw7dLDpU+V6vR5VVSvm/48Nsdd6Q9Wqe+E63C4P3K7eZfk8ypWou3XrZpzfvn17kdcrutd3bm4uBw8eZOLEicZ1Go2GXr168euvv1bIPgqbMWNGsU//SkxMJLtQr987Vr8+eiAvN5d6ToZrHQkJCUWKZWYqwI2hWKt7eVG/fv3y79/CatasWeztfPbglK8vv7ZsyRpVpdbVqzS7eJFmFy7QPiUFbVKSsZySng7btqFcvxVM7+ZGXmgouV26kNu5M3nt2tlU4tbr9aSkpKCqKho76mthr/WGqlX3zLwbZ8MSExPJcMwosezt6p2Wllbq/ZYrUS9evLg8by+zpKQkdDpdkfHD/f39+fvvv0u9nV69evH777+TkZFBvXr1WLNmDZ07dy5SbuLEiYwbN864nJqaSv369fH19cXz5muPd+LcOfSKwsmsLM67uqKqqvH0fWEZN30XUq5d49y5c+XfvwUVtKbPnz9vd8n65rqfA2KrV4fq1UFVqZueTpvkZFpfnwq3uDWZmTjv3o3z9c6Qqrs7dO58o8UdEgJO5ungcif0ej2KouDr62vzB+2ysNd6Q9Wqe0bujYOxr68v7k7uJZa9Xb1dyjC6YbkSdVRUVHnebjE7duwoVTlnZ2ecnZ2LrNdoNBXzhbueoBRVRb0+Fbfd4nZVFZKbWqje9uZWdT/v4cF5Dw+2BAQYEndGBq2Tk43J26dQ4lYyMmDHDpTr3+kcjYZj3t7c9dJLhmvdoaFWdzuYoigV93/IhthrvaHq1L1w/KWpz63qXZbPosJ6qVy6dImEhASaNm2Ku3vJvzLKo2bNmmi1WuLj403Wx8fHU6tWrUrZpxAWpShc8PDggocH264n7toZGbRJTuaFtm1h9264cMFY3Fmv566kJHjzTcMKJydDsu7eHe65B7p0gYo4GySEMJty/7z59ttvadmyJfXq1aNDhw7s27cPMJymvuuuu1i3bl25gyzg5OREcHAwO3fuNK7T6/Xs3Lmz2FPXVYWLC+x6ey+7CMeFCrg2LmyXonDJw4PvAwIYkJLCgPbteaZHDz5o25ZddeuSePPptNxc2LsXZsyAyEh01atDcDCMHQvffAMFvc2FELfl4uDCrqhd7IraZTtDiG7YsIEhQ4bQuXNnRowYweTJk42v1axZk7p167JkyRIGDx5c6m2mp6dz6tQp4/Lp06c5fPgw3t7eNGjQgHHjxhEVFUVISAihoaHMnTuXjIwMYy/wyhATE0NMTIzFhkLVaiG8TTLwo0X2L6yYonDJ3Z1L7u5sb9AAVBX/zExaX7lC4JUrtE5ONrkdTAtw6JBhmmcYuIGWLQ2t7YJWd4MGFqmKENZOq9ES3jDc7PstV6KeOnUq99xzD7t27SI5OdkkUQN07tyZTz75pEzbPHDgAD169DAuF3TmioqKYsmSJQwfPpzExETeeustLl++TPv27dm6dWuRDmYVKTo6mujoaFJTU6levXql7UeIclMU4t3diXd3Z+f1OwNqZGcTdOUKQcnJBF25QkBamumptIIhTxcuNCw3aGCauFu0kKeDCWFB5UrUR48eZc6cOSW+7u/vX+ztRrcSHh5+285FY8aMYcyYMWXari3Ly4OFmxsBo3mGhZYOR9iYqy4uN8YpB9xzcwm8etWYuJumpOBQ+P/c2bOwbJlhAvD1vZG0u3eHdu0Mp3mEsDN5ujwWHjQcg58JfgZHrXlujSxXonZzcyPj5nuHCvn333/x8fEpzy4EhsuMYxa2BWIYyRJLhyNsXIaTE7H+/sRePwvlnJ9Pi2vXjIm75dWrpg8ZSUw0XM/+5hvDsqenoVPaPfcYppAQKObuCCGqmlxdLmO2GBqJI9uPtI1E3aNHD5YuXcrYsWOLvHb58mUWLVpE//79y7MLIUQly3Fw4I+aNfmjZk0AHPR6mqSk0Pp64m515QoehYfkTU2FrVsNExh6O3bqdKPV3bkzeHhYoCZCVE3lStTTpk3j7rvvpmPHjgwbNgxFUdi2bRs//PADn3zyCaqqMmnSpIqK1WIs3ZlMCHPK12g4XqMGx2vU4GtAo6oEpKYSdOUKz7ZqBT/9BIVvkczOhh9/NExgOC3eocONFne3bvJMbiHKoVyJukWLFuzdu5eXXnqJN998E1VVmTlzJmC41lzwlCtbJ53JhD3TKwqnq1fndPXqbMzOhpAQ6mRkGDqoXe9Z7p+VdeMNOh3Exhqm2bMN69q0MYyc1q0bmlatoJgR+IQQxSv3gCdBQUHs2LGDq1evcurUKfR6PY0bN8bX17ci4hNCWBtF4aKHBxc9PAy3hAE1s7IIKnRLWIP0dNP3HDkCR46gmT8fP0Bt3tzQ2g4Lk1vChLiNO07UOTk5LFu2jO+//55//vmHtLQ0qlWrRtOmTenTpw8jRozAyYrHHBZCVJwkV1d+rFuXH68/IcwzN9eYtIOuXKFRSgqF+4krJ07AiRPw6aeGFQEBJol7wMsvG28J27Bhg5lrI4R1uaNEfeTIEe6//37OnDmDqqpUr14dDw8PEhISOHToEGvWrGHatGl89913tGrVqqJjFkJYuVQnJ36rVYvfrg/t65aXR6urV2l95Qod0tJokJBgekvYmTPw5ZeGCVjq7Myf3t4c9fGBo0chMLD4Qe+FsANlTtTp6ekMHDiQhIQEpk2bxmOPPUbd67+iAS5cuMAXX3zBO++8w4ABA/j9998rbexve+HsDBvf+A3eeRtncm7/BiGsTKajIwf9/Djk78+u+vWJP32aFoXu5W6XkWHolHadd04O3S9dovulS4br297ehl7lBafK27UDhwp7VIEQpeLs4MzGhzca582lzN/0xYsXc/bsWXbu3El4eHiR1+vWrcvEiRPp1KkT9913H0uWLCE6OroiYrUYS/f6dnCAfiHxwGaL7F+IipZ78y1hOh3NUlKMndNaXbmCW+H/b1euwLffGiaAatWga9cbidvKH+8pqgYHjQP9mvcz/37L+oZNmzbRu3fvYpN0YT179uS+++5jw4YNNp+opde3EJUrX6vlL29v/vL2Zm3Tpmj0ehpfvyXs6WbNDLeEXbly4w1paab3cru6wt1337jO3akTuLlZpjJCVLAyJ+ojR47w4osvlqpsz549mVcw8L+4Y3l5sHxnfSCKR1hu6XCEqHR6jYZTXl6c8vLiW50OpXNnGqSlGVvcra9coUah53KTlQW7dhkmAEdH6NSJr+Lj+cPHh+M1avDNZjkjJconT5fH8iOGY/AjbR6x3pHJrly5UupnP/v7+3Ol8K9gcUdyc+GJDzsASxjGGkuHI4TZqYrCGU9Pznh6srlhQ1BV6mRk0LrQw0ZM7uXOy4O9e3kYePjkSXI0Grj3XujRwzB17CinykWZ5epyeeJbw5MahwUOs95EnZOTg6Nj6YJzcHAgNze3zEEJIcQtFbqX+/vr92D7Zmby+ciRsGcP7N4NhR6X66zXww8/GCYAd3fDiGk9ekDPnnDXXdI5TVitO/pmxsXFcejQoduWO3369J1sXgghyizRzY0Bq1cbFlq2xCcggLbJybRNSqLNzaOnZWTAtm2GCQwPGrnnHkPS7tED2raV28GE1bijRP3mm2/y5ptv3racqqoo8hxbIYQFJLu6sqtePXbVqweAf2amMWm3TUrCp/A17tRU2LjRMIHhdrCwMEPi7tkTWrWSZ3ILi7mj27PsjaVvzxJClF+8mxvbGzQwDHuqqtTNyDAm7TbJyXgVvkx35QqsW2eYAOrWhV694L77DP9ef0SoEOZQ5kQdFRVVGXFYNbk9S4gqRlG44OHBBQ8PtgYEgKrSIC3NeKq8c24uXL16o/yFC7B0qWECw4Ar991nmLp3N9weJkQlkYswQgihKJz19GRjo0ZM79gREhPh0CGYORMiIgy9xgv7/XeYNQsiIqBGDUMr+733DO/R6y1TB1FlSTdHG+DsDKtfjYWZ78sQokKYwYBBg24sODriGBFBq6tXaZ+YSPukJJqkpNxo5eTkwM6dhmnCBKhZ88Zp8t694fo1cmH7nB2cWT10tXHeXCRR2wAHBxjW9SLMXGvpUISwS3larXHI0y8wPB2sbVIS7RMTuSspCb/CPcqTkmDlSsME0KYNSmQkjp06Qb9+hl/ewiY5aBwYFjTM/Ps1+x6FEMLGpTo5sbdOHfbWqWMcfKV9UhJ3JSbSJjkZ9/z8G4WPHEE5cgQfQPX0NLSyIyMNU+3aFquDsB2SqG1Afj6s+7kOMJTBrLN0OEKIwgoNvrK5YUM0ej3Nr13jrsREghMTaZGSAtcf6amkpsLatYYJDAOtREZC376G8cll0BWrlq/PZ91fhmPw4FaDcdCY5+8lnclsQE4OPDizIw+yhhzktJkQ1kyv0fC3tzdftWjB+G7dID4e/dKlZA0eTOrNozr+738wfTp060aamxs89BAsW2ba41xYjZz8HB5c+yAPrn2QnHzz9ReSn2+lIPdRCyHumK8vPPooKb1781xeHk2vXiUkIYGQhASapqQYi1XLy4NVqwyTVmsYKe3++w1Tw4aWi19YnCTqUpD7qIUQd2rAgAEoikL9+vXRKwrHa9TgeI0aLG/RAq/sbIITEwlJSKB9YiIeBde2dbobTwMbO9YwpOnAgYakHRwso6TZGTn1LYQQFnLNxYWd9evzXnAwj/bubXiYyMsvQ+PGpgX/+APeeQc6diTJzc3wBLFt2wyP1hNVniRqIYSwAjqNxjC++Jw5cOoU0WFhfNGiBce9vEzK1czOpu+ZM9Cnj2Eo0yeegM2bJWlXYXLqWwghrMSAAQNuLFSrxtlq1VjTrBne2dmExscTGh9Pu6QknApGP7t2DZYsMUzVqxtOjQ8bZhhsRe7XrjIkUQshhJW74uLC1oAAtgYE4JKfT4fERCY2bw4bNkB6uqFQSgp88YVh8vQ0XNMeNsxw37aLi2UrIMpFErUNcHKCxS8cgg8/wAk5vSWEPct2cOCX2rUZkJaGU/fu3JWYSNdLl+gUH49bQWe01FTDbV7LlhmS9gMPwCOPQHi4oUe5uCNOWicW37/YOG8ukqhtgKMjjLz3HHy41NKhCCGsSK5Wy75atdhXqxaOOh3tk5LodvEineLjb4yOlpoKixcbpjp1YMQIQ9Ju1056j5eRo9aRke1Hmn2/kqiFEKIKyNNqifX3J9bfH4eCpH3pEvempEBamqHQxYuGp37NmgVBQYaEPWIEBARYNnhxS9Lr2wbk58OmA/5soi/5yGkrIcSt5Wu1HPD3Z2779hAfD6tXG65ZFx4Z7c8/4T//gYYN+aNmTWbfdRcUfriIKCJfn8+mE5vYdGIT+fr827+hgkiiLoWYmBgCAwPp2LGjRfafkwP937mb/mySIUSFEGXj6mroVPbtt3DpEjFt2vCnt7dJkbbJybxy+LDhISGjRxueqy2KyMnPof9X/en/VX8ZQtTayMhkQghbZXLLF8D13uN+mZmEXbhAz/PnqZeRYXgtJQUWLDBM7dvDU08ZTo/XqGH2uMUN0qIWQgg7lODmxppmzXg+PJzXu3RhR7164OZ2o8Dhw/DCC4ZW9uOPw/79FovV3kmiFkIIe6YoHPP2Zl779jzYvTsftmljOhpaTg58+aXhMZyhoYb7tLOzLRauPZJELYQQAoAsR0e+DwhgfLduRN9zD982akRa4Q5osbEQFQUNGsD//R+cO2e5YO2IJGohhBBFnPX05NOgIJ7o1Yt5bdvyj6fnjRcTE2H6dHQNGrC3Th3Gde9uuUDtgHQmE0IIUaIcrZYdDRqwo359Wl69Sv+4OLpeuoSDqqIFul26RLdLl6BnT3jtNYiIkIFUKpgkahvg5ATzn/kDFn4iQ4gKISxDUfjb25u/vb35LDubiLNn6XvmDDVyrt+mVPD87DZtDAl7+HDT+7arACetE/Mj5xvnzUVOfdsAR0eI7nuaaD7CEfPdZC+EEMW56uLCyubNeapnTz5s04YL7u43XjxyBB57DJo2hYULq9TjNx21jkSHRhMdGo2j1nw/QiRRCyGEuCN5Wi3fBwQwOjwcvvnG0DO8wNmz8OyzKK1a4bpiBeTlWSxOWyenvm2ATgc/HfEBwujOT5YORwghTOgVhQGffw41axLYuTPDTp0iJDERACUujuqvvIIaEwNvvgmPPsqAwYNN3r9hwwZLhF1mOr2On84ajsHdG3RHqzHPkM7SorYB2dnQ481u9GA32chzZYUQVkpROObjw5ROnXila1cO+vreeOnff+GJJ6B1azpdvgyqasFA70x2fjY9lvagx9IeZOeb715yaVELIYSocCdq1GByp060unqVt7VanPfsMbxw/DhvAEe9vfk8MJCThQdXEcWSFnUpWPqhHEIIYav+9vbm6qpV6H/8Ebp1M65vfeUKc/buZfyhQ3DmjAUjtH6SqEshOjqaY8eOERsba+lQhBDCNnXrBnv2wDffcLHQmOJhFy9Cq1YwbZphuFJRhCRqIYQQ5qEoMHgw0eHhfBIURGrBfdZZWfDGG9C2LezYYdkYrZAkaiGEEGaVr9GwsVEjnunZk28bNQLN9VR04gTcdx889BAkJFg2SCsincmEEEJUqrfffptz586h3tTTO8PRkU+DgthRvz7PHzlC4NWrhhdWrSJl3ToWtG7NhIMHTd5T+PnatnJbV3lJorYBjo7wftSfsHQJjsigAUKIqiXO05MJXbrQ8/x5njx2DM+8PKrn5jLh0CEYNgxiYsDPz9Jh4qh15P1e7xvnzUUStQ1wcoJXB5+CpbMsHYoQQlQKVVHYWb8+B/38eP7IEbpcvmx4Ye1a2L0bPv8cCrWmLcFJ68SrXV81+37lGrUQQgircc3ZmRnBwbx/1103OpslJcHAgfDyyzjodJYN0AIkUdsAnQ5iT3oRSwg6+ZMJIao6ReGnunWJDg83JOgCc+cy85dfqJ2ebpGwdHodsRdiib0Qi05vvh8MctS3AdnZEPpqGKHEyhCiQgi7cc3ZGdavh/nzDdcAgaYpKfx3715C4uPNHk92fjahn4YS+mmoWYcQlUQthBDCag0YOJABW7fyYqdOnL/+OE33/HzejI2Fd9+1yTHDy0oStRBCCKt3unp1Xu7enZ9r1QKuJ6+JE2HECMjMtGhslU0StRBCCJuQ7eDAe8HBLGve/MbKlSuhVy9ITrZcYJVMErUQQgiboSoKq5o3552QEPDwMKz89Vfo3h3OnrVscJVEErUQQgibs69WLfjpJ7h+Kpy//oIuXeDvvy0bWCWQRC2EEMI2tW8Pv/wCTZsali9cgPDwKpesZWQyG+DoCJOG/w2rVsoQokIIUVijRvDzz9CnD/zvfxAfb0jWu3dDy5YVuitHrSOTwiYZ581FErUNcHKCyQ8fh1VTLB2KEEJYjcIP6PDw9eUdT0+apKbeSNZ7995obVcAJ60Tk8MnV9j2SktOfQshhLB56U5OvHH33fzj6WlYER9vaGVXgcdlSqIuhZiYGAIDA+nYsaNF9q/Xw59nq/EngehRLBKDEEJYu4JkfaZaNcOKf/6B/v0hI6NCtq9X9fyZ8Cd/JvyJXtVXyDZLQxJ1KURHR3Ps2DFiY2Mtsv+sLGj9Yk9a8ydZuFokBiGEsAXpTk5MDg2FunUNK2JjYfhww0MTyikrL4vWC1rTekFrsvKyyr290pJELYQQokpJcnVlTJMmZDhc74a1aRO89ZZlgyoHSdRCCCGqnDOenkwPCUGnXL9cOH06rFtn2aDukCRqIYQQVdIfNWvyeatWN1Y8/jicPGm5gO6QJGohhBBV1neNGvFjnTqGhfR0ePRRyLOt8SgkUQshhKi6FIX5bdveuJ96/3545x3LxlRGkqiFEEJUadkODrB8OWi1hhXvvAP79lk2qDKQkclsgKMjjB90EtavlyFEhRDiToSGwuTJ8OabhsEpnn0WDhwAh9KnQUetI+M7jzfOm4u0qG2AkxPMHHmMmbyGkyRqIYS4MxMmwF13GeZ//x0++KBMb3fSOjGz90xm9p6Jk9apEgIsniRqIYQQ9sHBAT7+GApu2XrrLZt4hrWc+rYBej2cjXcFAmiA9X+phBDC2hR+gMdzDRrQ78wZyMhgV5cuzCloZV+3YcOGYrehV/WcTTEcgxtUb4BGMU9bV1rUNiArCxo925tGxMkQokIIUU5ftmxJqqPhGnPYhQs0TE0t1fuy8rJoNK8RjeY1kiFEhRBCiMqS4ejI6mbNAEMSfPzvvy0b0G1IohZCCGF3NgcEkOjiAkDHhAQCk5MtHFHJJFELIYSwO3laLctbtDAujzhxwoLR3JokaiGEEHZpV926XHRzA6BdcjJNUlIsHFHxJFELIYSwS3qNhnVNmhiXB//zjwWjKZkkaiGEEHbrh3r1uOZkGLyk28WL+GSZrzd3acl91DbAwQFGR56GLZtxIN/S4QghRJWRq9WyOSCAESdPogXuO3euxLIOGgdGh4w2zpuLJGob4OwMMc/+AVvGWDoUIYSocrY3aMDw64m699mzoNPdeIBHIc4OzsT0izF7fHLqWwghhF1LcnXlkJ8fAL7Z2bB1q4UjMiWJ2gaoKiSmOJFITVRLByOEEFXQ1gYNbiwsW1ZsGVVVScxIJDEjEVU139FYErUNyMwEv6hI/EgkEzdLhyOEEFXOQT8/0q4PK8qGDYYD700y8zLxm+WH3yw/MvOKvl5ZJFELIYSwezqNhl9r1TIsZGTA5s2WDagQu0vU586dIzw8nMDAQNq2bcuaNWssHZIQQggr8FOdOjcWVq2yXCA3sbte3w4ODsydO5f27dtz+fJlgoOD6du3L+7u7pYOTQghhAX94ePDNScnvHJzDS3qnBzDbTcWZnct6tq1a9O+fXsAatWqRc2aNbly5YplgxJCCGFxeo2Gg9d7f5OZCXv3Wjag66wuUe/Zs4cBAwZQp04dFEVh/fr1RcrExMTQsGFDXFxc6NSpE/v377+jfR08eBCdTkf9+vXLGbUQQoiq4JCv742FbdssF0ghVpeoMzIyaNeuHTExxd9UvmrVKsaNG8ekSZM4dOgQ7dq1IyIigoSEBGOZ9u3b07p16yLTxYsXjWWuXLnC448/zsKFCyu9TkIIIWzDYV9fUBTDgpUkaqu7Rh0ZGUlkZGSJr8+ZM4dRo0bxxBNPAPDxxx+zadMmPv/8cyZMmADA4cOHb7mPnJwcBg0axIQJE+jSpcsty+Xk5BiXU1NTAdDr9ej1+tJWqWSKgl5RUBUF5foXo7jtajTweI9zKLt2GYcQLShvq5Trdbb1etwJqbv91d1e6w22V/c0Z2fU4GCUAwfgjz/QX7gAtWsDoEHD420fN87fKg/o9XpUVS2xTFlyiNUl6lvJzc3l4MGDTJw40bhOo9HQq1cvfv3111JtQ1VVRo4cSc+ePXnsscduWXbGjBlMmTKlyPrExESys7PLFnxx6tdHD+Tl5lLv+qDwhc8MFDb38V3U2GX4cVLdy6tKnK6vWbOmWQcNsCZSd/uru73WG2yv7hmNG+Nx4AAAqevWkT10qPG19zq/B0DKlVs/ElOv15OSkoKqqmg0RU9ep6WllToem0rUSUlJ6HQ6/P39Tdb7+/vz999/l2obP//8M6tWraJt27bG699ffvklbdq0KVJ24sSJjBs3zricmppK/fr18fX1xdPT884rUuDcOfSKwsmsLM67uqKqKn4FHRluVr26cTbl2jXO3WLgeFtQ8Av7/PnzNvUfuCJI3e2v7vZab7DNurtFR8O8eQBU/+svPEs6Lt+CXq9HURR8fX2LTdQuLi6l3pZNJeqK0K1bt1KfcnB2dsa5mK75Go2m2A++zK5/aRVVRb0+FbddVYXMXEfADTcyr6+zjS/8raiF6m1vpO72V3d7rTfYXt01d99tuE6tqij796NcPy6rqmockczN0e22p/MVRSkxX5Qlh1hdZ7JbqVmzJlqtlvj4eJP18fHx1CoYUaYKyswEj4f640GGDCEqhBCVrXp1aNnSMP/773D9UmdmXiYeMzzwmOEhQ4iWxMnJieDgYHbu3Glcp9fr2blzJ507d7ZgZEIIIaqUTp0M/+blwf/+Z9FQrC5Rp6enc/jwYWPP7dOnT3P48GHOnj0LwLhx41i0aBFLly7lr7/+4vnnnycjI8PYC7wyxMTEEBgYSMeOHSttH0IIIazI3XffmP/tN8vFgRVeoz5w4AA9evQwLhd05oqKimLJkiUMHz6cxMRE3nrrLS5fvkz79u3ZunVrkQ5mFSk6Opro6GhSU1OpXqhTlxBCiCqqoEUNsG+f5eLAChN1eHj4bTscjBkzhjFjxpgpIiGEEPZkwIABaPR6Vms0OOv1cupbCCGEsDZ6jYZz1aoZFk6dMnYoswRJ1EIIIUQxzhQkar0eSjlWR2WwulPf1igmJoaYmBh0Op1F9q/VwtAuF+CXX9BimRiEEMLenPXwuLFw9Cja1i0ZGmgYpUyr0ZotDknUpWDpzmQuLrDmtQMw6EGz71sIIezV2YIWNcCxY7g4uLBm2BqzxyGnvoUQQohiXHB3v7Hwzz8Wi0MStRBCCFGMRDc3dAXDhJ46ZbE4JFHbgIwMUAbdj4JKhgwhKoQQZpGv0ZDo6mpYOHWKjJx0lCkKyhSFjNwMs8UhiVoIIYQowSW3642j1FS4kmyRGCRRl4IMISqEEPbpUuHr1P+etkgMkqhLITo6mmPHjhEbG2vpUIQQQpiR8dQ3MGvcyxaJQRK1EEIIUYJkFxfjvHd2jkVikEQthBBClCDJJFFnWSQGSdRCCCFECQonah8LjfctI5PZAK0W+gZfhoMHZQhRIYQwoyuFrlH7ZuXQt1lfQIYQFTdxcYFNb+6DQYMsHYoQQtiVHK2WNEdHquXlUTcjh00jNpk9Bjn1XQpye5YQQtivq87OAHjlSGcyqyW3ZwkhhP1KdXICwEWngyzzdyiTRG0DMjLAfXg/3EmXIUSFEMLMChJ1hiO4z/HBfbq7WYcQlWvUNiIzxwH5cwkhhPkVJGqAzHxpUQshhBBWpXCitgRJ1EIIIcQtSKIWQgghrJgkaiGEEMKKpTo6WnT/kqhLQe6jFkII+yUtahtg6fuoNRoIC0oijN1o0FskBiGEsFfp11vUGhXCMv0ICwhDo5gvfcr9PjbA1RV2T/tZhhAVQggLyHYwpErXfNh9vDO8t96s+5cWtRBCCHELBYkaMIxAZWaSqIUQQohbyNEWelJWerrZ9y+J2gZkZIDv433wJUGGEBVCCDPTKwo5Gg0ZjuDbIxbfmb4yhKgoKinVGfC1dBhCCGGXshwccFRzSXLWQWaSWfctLWohhBDiNkxOf5uZJGohhBDiNrIcLHcCWhK1EEIIcRvZ0qK2bjIymRBC2LdsaVFbN0uPTCaEEMKyLNmill7fNkCjgZCmV+HUKRlCVAghLCBbq0WjQsgFoE0bGUJUmHJ1hdhZe2QIUSGEsJBsBwdc8yF2EXD4S3B0Ndu+5dS3EEIIcRsmp77NPIyoJGohhBDiNkw6k5l5GFFJ1DYgMxMajrqPhpwmE/OdbhFCCGGQrdWS6QgNx0LDA4+SmZdptn3LNWoboKpwJtENaIiKYulwhBDC7uRrNKjAGS8gLxFVVc22b2lRCyGEEFZMErUQQghhxSRRCyGEEFZMErUQQghhxSRRCyGEEFZMen2XQkxMDDExMeh0OovsX1EgsH4qnDuHgvl6GgohhLhBAQITgHr1UBTz3YEjLepSsPRDOdzc4M8Pd/EnrXEjyyIxCCGEvXPLgz8/gj+bzMbN0c1s+5VELYQQQlgxSdRCCCGEFZNEbQMyMyHohR4EcVSGEBVCCAvJdISg0RD0zysyhKgwpapw7JwnECRDiAohhIWowDE/IPe8DCEqhBBCCANJ1EIIIYQVk0QthBBCWDFJ1EIIIYQVk0QthBBCWDHp9W0DFAUCfDMhMUGGEBVCCAtRgIBrgK+vDCEqTLm5Qdyi7cTRSIYQFUIIC3HLg7i5ENd0vgwhKoQQQggDSdRCCCGEFZNEbQOysqDj+HvoyH6ycLF0OEIIYZeyHKDjKOh4eiJZeea7DCmdyWyAXg8HTtUAOqKX31ZCCGERegUO1AWy/0Wv6s22XznqCyGEEFZMErUQQghhxSRRl0JMTAyBgYF07NjR0qEIIYSwM5KoSyE6Oppjx44RGxtr6VCEEELYGUnUQgghhBWTXt82oqZnDqSmWjoMIYSwazUzAM9qZt2ntKhtgLs7JH6xlUT8cCfT0uEIIYRdcs+DxJmQ2PxT3J3czbZfSdRCCCGEFZNELYQQQlgxSdRWbsCAAfTt+wCNHq1HOLtkCFEhhLCQLAcIHwnhZ6bIEKLClKoqxKUHEwcyhKgQQliIXoEfGwKZx2QIUSGEEEIYSKIWQgghrJgkaiGEEMKKSaIWQgghrJgkaiGEEMKKSa9vG+GoycJRb75ehkIIIYpyywWcnc26T2lR2wAHhxze6nAPGXjIEKJCCGEh7nmQMR0yWn4hQ4gKIYQQwkAStRBCCGHFJFHbAJ3OkS9P/pd+bCQb814bEUIIYZDtAP1GQL+z75Kdn222/UpnMhugqhpOpHTjBKBDa+lwhBDCLukU2NwcyPgfOr3ObPuVFrUQQghhxSRRCyGEEFZMErUQQghhxSRRCyGEEFZMErUQQghhxaTXdxmoqgpAampqxWwwLw+9opCRn09eXh6qqhbZdl5eHjqdBjCsT0UlS6cjLy+vYmKwEEVRyM3NNdbbnkjd7a/u9lpvqDp1z9LpSFWB63dlpaamonMquee3Xq8nLS0NFxcXNJqibeKCY31pPhNFteVPzszOnz9P/fr1LR2GEEKIKuLcuXPUq1fvlmUkUZeBXq/n4sWLVKtWDUVRKmSbqamp1K9fn3PnzuHp6Vkh27QF9lpvkLrbY93ttd5gv3W/Xb1VVSUtLY06deoU2+IuTE59l4FGo7ntL5875enpaVdf4gL2Wm+Quttj3e213mC/db9VvatXr16qbUhnMiGEEMKKSaIWQgghrJgkagtzdnZm0qRJOJv5QeSWZq/1Bqm7PdbdXusN9lv3iqy3dCYTQgghrJi0qIUQQggrJolaCCGEsGKSqIUQQggrJonagmJiYmjYsCEuLi506tSJ/fv3WzqkSrdnzx4GDBhAnTp1UBSF9evXWzoks5kxYwYdO3akWrVq+Pn5MWjQII4fP27psCrdggULaNu2rfF+0s6dO7NlyxZLh2V27777LoqiMHbsWEuHUukmT56MoigmU8uWLS0dltlcuHCBRx99FB8fH1xdXWnTpg0HDhy44+1JoraQVatWMW7cOCZNmsShQ4do164dERERJCQkWDq0SpWRkUG7du2IiYmxdChm9+OPPxIdHc1vv/3G9u3bycvLo3fv3mRkZFg6tEpVr1493n33XQ4ePMiBAwfo2bMn999/P3/++aelQzOb2NhYPvnkE9q2bWvpUMwmKCiIS5cuGae9e/daOiSzuHr1Kl27dsXR0ZEtW7Zw7NgxZs+eTY0aNe58o6qwiNDQUDU6Otq4rNPp1Dp16qgzZsywYFTmBajr1q2zdBgWk5CQoALqjz/+aOlQzK5GjRrqp59+aukwzCItLU1t1qyZun37djUsLEx96aWXLB1SpZs0aZLarl07S4dhEa+//rrarVu3Ct2mtKgtIDc3l4MHD9KrVy/jOo1GQ69evfj1118tGJkwp5SUFAC8vb0tHIn56HQ6Vq5cSUZGBp07d7Z0OGYRHR1Nv379TP6/24OTJ09Sp04dGjduzCOPPMLZs2ctHZJZfPfdd4SEhDBs2DD8/Py46667WLRoUbm2KYnaApKSktDpdPj7+5us9/f35/LlyxaKSpiTXq9n7NixdO3aldatW1s6nEp35MgRPDw8cHZ25rnnnmPdunUEBgZaOqxKt3LlSg4dOsSMGTMsHYpZderUiSVLlrB161YWLFjA6dOn6d69O2lpaZYOrdL9+++/LFiwgGbNmrFt2zaef/55XnzxRZYuXXrH25SHcghhAdHR0Rw9etRurtu1aNGCw4cPk5KSwtq1a4mKiuLHH3+s0sn63LlzvPTSS2zfvh0XFxdLh2NWkZGRxvm2bdvSqVMnAgICWL16NU899ZQFI6t8er2ekJAQpk+fDsBdd93F0aNH+fjjj4mKirqjbUqL2gJq1qyJVqslPj7eZH18fDy1atWyUFTCXMaMGcPGjRvZtWtXpT2Nzdo4OTnRtGlTgoODmTFjBu3atWPevHmWDqtSHTx4kISEBDp06ICDgwMODg78+OOPfPDBBzg4OKDT6Swdotl4eXnRvHlzTp06ZelQKl3t2rWL/ABt1apVuU79S6K2ACcnJ4KDg9m5c6dxnV6vZ+fOnXZz3c4eqarKmDFjWLduHT/88AONGjWydEgWo9frycnJsXQYleree+/lyJEjHD582DiFhITwyCOPcPjwYbRaraVDNJv09HT++ecfateubelQKl3Xrl2L3HZ54sQJAgIC7nibcurbQsaNG0dUVBQhISGEhoYyd+5cMjIyeOKJJywdWqVKT083+VV9+vRpDh8+jLe3Nw0aNLBgZJUvOjqaFStW8O2331KtWjVjf4Tq1avj6upq4egqz8SJE4mMjKRBgwakpaWxYsUKdu/ezbZt2ywdWqWqVq1akf4H7u7u+Pj4VPl+CePHj2fAgAEEBARw8eJFJk2ahFar5eGHH7Z0aJXu5ZdfpkuXLkyfPp0HH3yQ/fv3s3DhQhYuXHjnG63QPuSiTD788EO1QYMGqpOTkxoaGqr+9ttvlg6p0u3atUsFikxRUVGWDq3SFVdvQF28eLGlQ6tUTz75pBoQEKA6OTmpvr6+6r333qt+//33lg7LIuzl9qzhw4ertWvXVp2cnNS6deuqw4cPV0+dOmXpsMxmw4YNauvWrVVnZ2e1ZcuW6sKFC8u1PXl6lhBCCGHF5Bq1EEIIYcUkUQshhBBWTBK1EEIIYcUkUQshhBBWTBK1EEIIYcUkUQshhBBWTBK1EEIIYcUkUQshhBBWTBK1EFWIoihMnjzZ0mFUiri4OBRFYcmSJZYORQizkkQthA1YsmQJiqKUOP3222+WDlEIUUnkoRxC2JCpU6cW+9Stpk2bApCVlYWDg/y3FqIqkf/RQtiQyMhIQkJCSnzdxcXFjNEIIcxBTn0LUYUUd4169+7dhISE4OLiQpMmTfjkk0+YPHkyiqIUef+yZcsIDg7G1dUVb29vHnroIc6dO2dSJjw8nNatW3Ps2DF69OiBm5sbdevW5f333zeWiY+Px8HBgSlTphTZx/Hjx1EUhfnz5wNw5coVxo8fT5s2bfDw8MDT05PIyEh+//3329Y3PDyc8PDwIutHjhxJw4YNTdbp9Xrmzp1LUFAQLi4u+Pv78+yzz3L16tXb7kcIS5JELYQNSUlJISkpyWRKTk4usfz//vc/+vTpQ3JyMlOmTOGpp55i6tSprF+/vkjZadOm8fjjj9OsWTPmzJnD2LFj2blzJ/fccw/Xrl0zKXv16lX69OlDu3btmD17Ni1btuT1119ny5YtAPj7+xMWFsbq1auL7GfVqlVotVqGDRsGwL///sv69evp378/c+bM4dVXX+XIkSOEhYVx8eLFO/+wbvLss8/y6quv0rVrV+bNm8cTTzzB8uXLiYiIIC8vr8L2I0SFq5CHbwohKtXixYtLfJ61s7OzsRygTpo0ybg8YMAA1c3NTb1w4YJx3cmTJ1UHBwe18H//uLg4VavVqtOmTTPZ75EjR1QHBweT9WFhYSqgfvHFF8Z1OTk5aq1atdQHHnjAuO6TTz5RAfXIkSMm2wwMDFR79uxpXM7OzlZ1Op1JmdOnT6vOzs7q1KlTTdZx0/O7w8LC1LCwsCKfV1RUlBoQEGBc/umnn1RAXb58uUm5rVu3FrteCGsiLWohbEhMTAzbt283mQpasTfT6XTs2LGDQYMGUadOHeP6pk2bEhkZaVL2m2++Qa/X8+CDD5q01mvVqkWzZs3YtWuXSXkPDw8effRR47KTkxOhoaH8+++/xnVDhgzBwcGBVatWGdcdPXqUY8eOMXz4cOM6Z2dnNBqNMebk5GQ8PDxo0aIFhw4duoNPqag1a9ZQvXp17rvvPpP6BQcH4+HhUaR+QlgT6UwmhA0JDQ29ZWeywhISEsjKyjL2CC/s5nUnT55EVVWaNWtW7LYcHR1NluvVq1fkGneNGjX4448/jMs1a9bk3nvvZfXq1bz99tuA4bS3g4MDQ4YMMZbT6/XMmzePjz76iNOnT6PT6Yyv+fj4lKqut3Py5ElSUlLw8/Mr9vWEhIQK2Y8QlUEStRACvV6Poihs2bIFrVZb5HUPDw+T5eLKAKiqarL80EMP8cQTT3D48GHat2/P6tWruffee6lZs6axzPTp03nzzTd58sknefvtt/H29kaj0TB27Fj0ev0t41YUpcg+AZNkX1A/Pz8/li9fXux2fH19b7kfISxJErUQVZSfnx8uLi6cOnWqyGs3r2vSpAmqqtKoUSOaN29eYTEMGjSIZ5991nj6+8SJE0ycONGkzNq1a+nRowefffaZyfpr166ZJPTi1KhRw+R0e4EzZ86YLDdp0oQdO3bQtWtXXF1d76QqQliMXKMWoorSarX06tWL9evXm/SePnXqVJHr2kOGDEGr1TJlypQiLVRVVW/Zs/xWvLy8iIiIYPXq1axcuRInJycGDRpUJM6b97lmzRouXLhw2+03adKEv//+m8TEROO633//nZ9//tmk3IMPPohOpzOegi8sPz+/SK92IayJtKiFsCFbtmzh77//LrK+S5cuNG7cuMj6yZMn8/3339O1a1eef/55dDod8+fPp3Xr1hw+fNhYrkmTJrzzzjtMnDiRuLg4Bg0aRLVq1Th9+jTr1q3jmWeeYfz48XcU8/Dhw3n00Uf56KOPiIiIwMvLy+T1/v37M3XqVJ544gm6dOnCkSNHWL58ebH1udmTTz7JnDlziIiI4KmnniIhIYGPP/6YoKAgUlNTjeXCwsJ49tlnmTFjBocPH6Z37944Ojpy8uRJ1qxZw7x58xg6dOgd1U+ISmfBHudCiFK61e1ZFLpliZtuz1JVVd25c6d61113qU5OTmqTJk3UTz/9VH3llVdUFxeXIvv5+uuv1W7duqnu7u6qu7u72rJlSzU6Olo9fvy4sUxYWJgaFBRU5L033xJVIDU1VXV1dVUBddmyZUVez87OVl955RW1du3aqqurq9q1a1f1119/LXLrVXG3Z6mqqi5btkxt3Lix6uTkpLZv317dtm1bibEsXLhQDQ4OVl1dXdVq1aqpbdq0UV977TX14sWLRcoKYS0UVS2mJ4YQokobNGgQf/75JydPnrR0KEKI25Br1EJUcVlZWSbLJ0+eZPPmzcUOvSmEsD7SohaiiqtduzYjR46kcePGnDlzhgULFpCTk8P//ve/Eu+bFkJYD+lMJkQV16dPH7766isuX76Ms7MznTt3Zvr06ZKkhbAR0qIWQgghrJhcoxZCCCGsmCRqIYQQwopJohZCCCGsmCRqIYQQwopJohZCCCGsmCRqIYQQwopJohZCCCGsmCRqIYQQwopJohZCCCGs2P8DD4NFLv/CG0cAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "# Plotting\n", "plt.figure(figsize=(5, 5))\n", "hist_vals, bins, _ = plt.hist(lambdas, bins=100, density=True, alpha=0.7, color='black', label='Empirical Eigenvalues')\n", "plt.plot(x, mp_density, color='red', linewidth=2, label='Marchenko-Pastur Distribution')\n", "plt.axvline(lambda_minus, color='blue', linestyle='--', label=r'$\\lambda_-$')\n", "plt.axvline(lambda_plus, color='green', linestyle='--', label=r'$\\lambda_+$')\n", "\n", "\n", "zero_mass = (q - 1) / q # Amplitude of delta function at zero\n", "bin_width = bins[1] - bins[0]\n", "plt.bar(0, zero_mass/bin_width, width=bin_width, color='red', alpha=0.7, label=r'Mass at origin')\n", "\n", "plt.yscale('log')\n", "# Labels and legend\n", "# plt.title(f'Eigenvalue Distribution and Marchenko-Pastur Law (T={T}, q={q})', fontsize=14)\n", "plt.xlabel('Eigenvalue', fontsize=12)\n", "plt.ylabel('Density', fontsize=12)\n", "plt.legend(fontsize=12)\n", "plt.grid(alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When $q>1$, the Marchenko Pastur distribution has a mass at the origin, its amplitude is given by $(q-1)/q$ (times a Dirac delta function).\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Case q=1:**\n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/h0/4_tf3pcn1h32ks9grh325v400000gn/T/ipykernel_61003/3342109622.py:18: RuntimeWarning: divide by zero encountered in divide\n", " mp_density = (1 / (2 * np.pi * q * x)) * np.sqrt((lambda_plus - x) * (x - lambda_minus))\n", "/var/folders/h0/4_tf3pcn1h32ks9grh325v400000gn/T/ipykernel_61003/3342109622.py:18: RuntimeWarning: invalid value encountered in multiply\n", " mp_density = (1 / (2 * np.pi * q * x)) * np.sqrt((lambda_plus - x) * (x - lambda_minus))\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Parameters\n", "q = 1\n", "T = 5000\n", "N = int(q * T)\n", "\n", "# Generate the random matrix and compute eigenvalues\n", "H = np.random.randn(N, T)\n", "E = H @ H.T / T\n", "lambdas = np.linalg.eigvalsh(E)\n", "\n", "# Calculate Marchenko-Pastur distribution\n", "lambda_minus = (1 - np.sqrt(q))**2\n", "lambda_plus = (1 + np.sqrt(q))**2\n", "x = np.linspace(lambda_minus, lambda_plus, 500)\n", "mp_density = (1 / (2 * np.pi * q * x)) * np.sqrt((lambda_plus - x) * (x - lambda_minus))\n", "mp_density = np.where((x >= lambda_minus) & (x <= lambda_plus), mp_density, 0) # Set density to 0 outside the range" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "# Plotting\n", "plt.figure(figsize=(5, 5))\n", "hist_vals, bins, _ = plt.hist(lambdas, bins=100, density=True, alpha=0.7, color='black', label='Empirical Eigenvalues')\n", "plt.plot(x, mp_density, color='red', linewidth=2, label='Marchenko-Pastur Distribution')\n", "plt.axvline(lambda_minus, color='blue', linestyle='--', label=r'$\\lambda_-$')\n", "plt.axvline(lambda_plus, color='green', linestyle='--', label=r'$\\lambda_+$')\n", "\n", "\n", "plt.yscale('log')\n", "# Labels and legend\n", "# plt.title(f'Eigenvalue Distribution and Marchenko-Pastur Law (T={T}, q={q})', fontsize=14)\n", "plt.xlabel('Eigenvalue', fontsize=12)\n", "plt.ylabel('Density', fontsize=12)\n", "plt.legend(fontsize=12)\n", "plt.grid(alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When $q=1$, the Marchenko Pastur distribution has a singularity at the origin. It diverges as $\\sim 1/\\sqrt{\\lambda}$. In fact, in this case, the matrix $\\mathbf{H}$ is a Wigner matrix with its eigenvalues distributed according to the Wigner semicircle distribution, and the corresponding distribution of the square of these eigenvalues (i.e., the eigenvalues of $\\mathbf{E}$) is distributed according to the distribution illustrated above.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Non-unit variance\n", "\n", "When the variance of the entries of $\\mathbf{H}$ is not 1, the Marchenko Pastur distribution is given by:\n", "\n", "$$\n", "\\rho(\\lambda) = \\frac{1}{2 \\pi q \\lambda \\sigma^2} \\sqrt{(\\lambda_+ - \\lambda)(\\lambda - \\lambda_-)} \\quad \\text{for} \\quad \\lambda \\in [\\lambda_+, \\lambda_-],\n", "$$\n", "\n", "where $\\lambda_\\pm = (1 \\pm \\sqrt{q})^2 \\sigma^2$.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Universality\n", "\n", "In fact, the Marchenko Pastur distribution is universal in the sense that it does not depend on the specific distribution of the entries of $\\mathbf{H}$. \n", "\n", "The theorem is due to [Marchenko and Pastur (1967)](https://iopscience.iop.org/article/10.1070/SM1967v001n04ABEH001994) and it states that: \n", "\n", "> Let $\\mathbf{H}$ be an $N \\times T$ random matrix with i.i.d. entries $x_{ij}$ that verify:\n", "> \n", "> $$\n", "> \\mathbb{E}[x_{ij}] = 0, \\quad \\mathbb{E}[x_{ij}^2] = 1 \\quad \\text{and} \\quad \\mathbb{E}[x_{ij}^4] < \\infty.\n", "> $$\n", "> \n", "> Then when $N, T \\to \\infty$, the empirical eigenvalue distribution of $\\mathbf{E} = \\frac{1}{T} \\mathbf{H} \\mathbf{H}^T$ converges to the Marchenko Pastur distribution with $q=N/T$.\n", "\n", "Thus, the entries do not need to be Gaussian, as long as the above moment conditions are verified.\n", "\n", "\n", "The most important feature predicted by the Marchenko Pastur law is that the eigenvalues live in a finite, well defined interval.\n", "\n", "The Marchenko Pastur law is an extremely important result, with applications that continue to be discovered. With this result, random matrix theory took a new dimension. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Application to Finance\n", "\n", "Understanding correlations between stocks is maybe the most important problem in finance. Thus, measuring or estimating correlations between stock prices is crucial. This generally underlies risk management and portfolio allocation strategies.\n", "\n", "The question every analyst wants to answer is: *Given a set of financial assets (say a set of stocks), characterized by their average returns and risk (i.e., volatility), what is the optimal weight for each asset such that the portfolio provides the best return for a fixed level of risk?* \n", "\n", "This question can not be answered without a reliable determination of the stock correlation matrix. \n", "\n", "For $N$ stocks, the correlation matrix is of size $N \\times N$ and has $N(N-1)/2$ free parameters. It has to be determined from $N$ time series of length $T$.\n", "\n", "For instance, for $N=400$ stocks of the S&P 500 index this means $\\approx 80,000$ parameters to estimate. Say we have 4 years of data, i.e., $N$ time series of length $T=252 \\times 4 = 1008$ trading days. In this case, $T$ is not very large compared to $N$, and the estimation of the correlation matrix ought to be noisy, i.e, random to a large extent. In this case, the structure of the correlation matrix is actually dominated by noise. \n", "\n", "In principle, the eigenvectors of the correlation matrix that correspond to the smallest eigenvalues are the ones that we should use to construct the portfolio that maximizes the return-to-risk ratio. However, these eigenvectors are also the most affected by noise. Therefore, it is important to separate the signal (eigenvectors that have real information) from the noise.\n", "\n", "### Correlation of S&P 500 components\n", "\n", "Let us load the daily returns of the S&P 500 components.\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "link = (\n", " \"https://en.wikipedia.org/wiki/List_of_S%26P_500_companies#S&P_500_component_stocks\"\n", ")\n", "df = pd.read_html(link, header=0)[0]" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SymbolSecurityGICS SectorGICS Sub-IndustryHeadquarters LocationDate addedCIKFounded
0MMM3MIndustrialsIndustrial ConglomeratesSaint Paul, Minnesota1957-03-04667401902
1AOSA. O. SmithIndustrialsBuilding ProductsMilwaukee, Wisconsin2017-07-26911421916
2ABTAbbott LaboratoriesHealth CareHealth Care EquipmentNorth Chicago, Illinois1957-03-0418001888
3ABBVAbbVieHealth CareBiotechnologyNorth Chicago, Illinois2012-12-3115511522013 (1888)
4ACNAccentureInformation TechnologyIT Consulting & Other ServicesDublin, Ireland2011-07-0614673731989
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" ], "text/plain": [ " Symbol Security GICS Sector \\\n", "0 MMM 3M Industrials \n", "1 AOS A. O. Smith Industrials \n", "2 ABT Abbott Laboratories Health Care \n", "3 ABBV AbbVie Health Care \n", "4 ACN Accenture Information Technology \n", "\n", " GICS Sub-Industry Headquarters Location Date added \\\n", "0 Industrial Conglomerates Saint Paul, Minnesota 1957-03-04 \n", "1 Building Products Milwaukee, Wisconsin 2017-07-26 \n", "2 Health Care Equipment North Chicago, Illinois 1957-03-04 \n", "3 Biotechnology North Chicago, Illinois 2012-12-31 \n", "4 IT Consulting & Other Services Dublin, Ireland 2011-07-06 \n", "\n", " CIK Founded \n", "0 66740 1902 \n", "1 91142 1916 \n", "2 1800 1888 \n", "3 1551152 2013 (1888) \n", "4 1467373 1989 " ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.head()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "sym_str = []\n", "for sym in df.Symbol:\n", " # if sym == 'BRK.B': ## some errors with this ticker\n", " # continue\n", " sym_str.append(sym) " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# np.where(np.array(sym_str) == 'BRK.B')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[*********************100%***********************] 503 of 503 completed\n", "\n", "102 Failed downloads:\n", "['OTIS', 'PLTR', 'DAL', 'CZR', 'LULU', 'UBER', 'PODD', 'KVUE', 'NXPI', 'DG', 'MPC', 'MRNA', 'V', 'FTV', 'VICI', 'VLTO', 'NCLH', 'QRVO', 'DELL', 'FTNT', 'CTVA', 'ABNB', 'ENPH', 'SW', 'PAYC', 'LDOS', 'PYPL', 'GEHC', 'FOXA', 'HCA', 'KEYS', 'IR', 'APTV', 'FOX', 'VRSK', 'KHC', 'GEV', 'EPAM', 'CARR', 'CHTR', 'KMI', 'KDP', 'CPAY', 'FANG', 'TEL', 'BX', 'CEG', 'AMCR', 'ABBV', 'CFG', 'LYV', 'VST', 'HLT', 'IQV', 'ZTS', 'MA', 'PSX', 'LW', 'NWSA', 'HPE', 'GNRC', 'PARA', 'TSLA', 'CMG', 'CBOE', 'AMTM', 'DAY', 'PM', 'XYL', 'MSCI', 'AVGO', 'CTLT', 'HWM', 'KKR', 'GM', 'LYB', 'AWK', 'DFS', 'INVH', 'PANW', 'META', 'FSLR', 'CDW', 'DOW', 'BR', 'TRGP', 'SYF', 'CRWD', 'GDDY', 'TDG', 'UAL', 'HII', 'NWS', 'TMUS', 'ALLE', 'SOLV', 'NOW', 'ANET', 'ULTA', 'SMCI']: YFPricesMissingError('$%ticker%: possibly delisted; no price data found (1d 2000-01-01 -> 2005-11-30) (Yahoo error = \"Data doesn\\'t exist for startDate = 946702800, endDate = 1133326800\")')\n", "['BF.B']: YFPricesMissingError('$%ticker%: possibly delisted; no price data found (1d 2000-01-01 -> 2005-11-30)')\n", "['BRK.B']: YFTzMissingError('$%ticker%: possibly delisted; no timezone found')\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 10.9 s, sys: 1.43 s, total: 12.3 s\n", "Wall time: 45.3 s\n" ] } ], "source": [ "%%time\n", "import yfinance as yf\n", "df = yf.download(sym_str, \n", " start=\"2000-01-01\",\n", " end=\"2005-11-30\")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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PriceAdj Close...Volume
TickerAAAPLABBVABNBABTACGLACNADBEADIADM...WTWWYWYNNXELXOMXYLYUMZBHZBRAZTS
Date
2000-01-03 00:00:00+00:0043.4630200.843077NaNNaN8.2881781.215037NaN16.27467328.2146496.248421...NaN973700NaN273860013458200NaN3033493NaN1055700NaN
2000-01-04 00:00:00+00:0040.1429290.771997NaNNaN8.0513781.208433NaN14.90940026.7872926.183335...NaN1201700NaN42520014510800NaN3315031NaN522450NaN
2000-01-05 00:00:00+00:0037.6528630.783293NaNNaN8.0365771.320692NaN15.20417427.1783526.085704...NaN1184600NaN50020017485000NaN4642602NaN612225NaN
2000-01-06 00:00:00+00:0036.2191810.715509NaNNaN8.3177831.307485NaN15.32829126.4353506.118246...NaN1307700NaN34410019461600NaN3947658NaN263925NaN
2000-01-07 00:00:00+00:0039.2374420.749401NaNNaN8.4065821.380124NaN16.07298127.1783526.215880...NaN1728000NaN46950016603800NaN6063647NaN333900NaN
..................................................................
2005-11-22 00:00:00+00:0021.4719492.004027NaNNaN12.1464125.75610519.91151433.45999924.15795115.514473...408757.011943001844900.0116520017084900NaN45313222415350.0460300NaN
2005-11-23 00:00:00+00:0021.5202352.021802NaNNaN12.0444745.81104719.68189433.86000123.99266615.584385...269573.05834001241600.095650012535100NaN41874661782003.0346600NaN
2005-11-25 00:00:00+00:0021.5443782.088985NaNNaN12.0413785.78251920.01914033.91000024.17067015.584385...71385.0387000248400.02789006692600NaN1553191806284.078300NaN
2005-11-28 00:00:00+00:0021.5202352.098625NaNNaN12.0321145.68954319.87563533.20999923.64299615.419132...249716.08668001201400.096160015008400NaN39604552082145.0369200NaN
2005-11-29 00:00:00+00:0021.4236532.051627NaNNaN11.7880745.59234020.26309832.40000223.68751315.406424...484219.014478001319400.0121390018592400NaN37476322305346.0375500NaN
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1486 rows × 3018 columns

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" ], "text/plain": [ "Price Adj Close \\\n", "Ticker A AAPL ABBV ABNB ABT ACGL \n", "Date \n", "2000-01-03 00:00:00+00:00 43.463020 0.843077 NaN NaN 8.288178 1.215037 \n", "2000-01-04 00:00:00+00:00 40.142929 0.771997 NaN NaN 8.051378 1.208433 \n", "2000-01-05 00:00:00+00:00 37.652863 0.783293 NaN NaN 8.036577 1.320692 \n", "2000-01-06 00:00:00+00:00 36.219181 0.715509 NaN NaN 8.317783 1.307485 \n", "2000-01-07 00:00:00+00:00 39.237442 0.749401 NaN NaN 8.406582 1.380124 \n", "... ... ... ... ... ... ... \n", "2005-11-22 00:00:00+00:00 21.471949 2.004027 NaN NaN 12.146412 5.756105 \n", "2005-11-23 00:00:00+00:00 21.520235 2.021802 NaN NaN 12.044474 5.811047 \n", "2005-11-25 00:00:00+00:00 21.544378 2.088985 NaN NaN 12.041378 5.782519 \n", "2005-11-28 00:00:00+00:00 21.520235 2.098625 NaN NaN 12.032114 5.689543 \n", "2005-11-29 00:00:00+00:00 21.423653 2.051627 NaN NaN 11.788074 5.592340 \n", "\n", "Price ... \\\n", "Ticker ACN ADBE ADI ADM ... \n", "Date ... \n", "2000-01-03 00:00:00+00:00 NaN 16.274673 28.214649 6.248421 ... \n", "2000-01-04 00:00:00+00:00 NaN 14.909400 26.787292 6.183335 ... \n", "2000-01-05 00:00:00+00:00 NaN 15.204174 27.178352 6.085704 ... \n", "2000-01-06 00:00:00+00:00 NaN 15.328291 26.435350 6.118246 ... \n", "2000-01-07 00:00:00+00:00 NaN 16.072981 27.178352 6.215880 ... \n", "... ... ... ... ... ... \n", "2005-11-22 00:00:00+00:00 19.911514 33.459999 24.157951 15.514473 ... \n", "2005-11-23 00:00:00+00:00 19.681894 33.860001 23.992666 15.584385 ... \n", "2005-11-25 00:00:00+00:00 20.019140 33.910000 24.170670 15.584385 ... \n", "2005-11-28 00:00:00+00:00 19.875635 33.209999 23.642996 15.419132 ... \n", "2005-11-29 00:00:00+00:00 20.263098 32.400002 23.687513 15.406424 ... \n", "\n", "Price Volume \\\n", "Ticker WTW WY WYNN XEL XOM \n", "Date \n", "2000-01-03 00:00:00+00:00 NaN 973700 NaN 2738600 13458200 \n", "2000-01-04 00:00:00+00:00 NaN 1201700 NaN 425200 14510800 \n", "2000-01-05 00:00:00+00:00 NaN 1184600 NaN 500200 17485000 \n", "2000-01-06 00:00:00+00:00 NaN 1307700 NaN 344100 19461600 \n", "2000-01-07 00:00:00+00:00 NaN 1728000 NaN 469500 16603800 \n", "... ... ... ... ... ... \n", "2005-11-22 00:00:00+00:00 408757.0 1194300 1844900.0 1165200 17084900 \n", "2005-11-23 00:00:00+00:00 269573.0 583400 1241600.0 956500 12535100 \n", "2005-11-25 00:00:00+00:00 71385.0 387000 248400.0 278900 6692600 \n", "2005-11-28 00:00:00+00:00 249716.0 866800 1201400.0 961600 15008400 \n", "2005-11-29 00:00:00+00:00 484219.0 1447800 1319400.0 1213900 18592400 \n", "\n", "Price \n", "Ticker XYL YUM ZBH ZBRA ZTS \n", "Date \n", "2000-01-03 00:00:00+00:00 NaN 3033493 NaN 1055700 NaN \n", "2000-01-04 00:00:00+00:00 NaN 3315031 NaN 522450 NaN \n", "2000-01-05 00:00:00+00:00 NaN 4642602 NaN 612225 NaN \n", "2000-01-06 00:00:00+00:00 NaN 3947658 NaN 263925 NaN \n", "2000-01-07 00:00:00+00:00 NaN 6063647 NaN 333900 NaN \n", "... .. ... ... ... .. \n", "2005-11-22 00:00:00+00:00 NaN 4531322 2415350.0 460300 NaN \n", "2005-11-23 00:00:00+00:00 NaN 4187466 1782003.0 346600 NaN \n", "2005-11-25 00:00:00+00:00 NaN 1553191 806284.0 78300 NaN \n", "2005-11-28 00:00:00+00:00 NaN 3960455 2082145.0 369200 NaN \n", "2005-11-29 00:00:00+00:00 NaN 3747632 2305346.0 375500 NaN \n", "\n", "[1486 rows x 3018 columns]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "df = df.Close\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "df = df.dropna(axis=1)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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TickerAAAPLABTACGLADBEADIADMADPADSKAEE...WMWMBWMTWRBWSTWYXELXOMYUMZBRA
count1486.0000001486.0000001486.0000001486.0000001486.0000001486.0000001486.0000001486.0000001486.0000001486.000000...1486.0000001486.0000001486.0000001486.0000001486.0000001486.0000001486.0000001486.0000001486.0000001486.000000
mean23.8613000.66460520.3442363.29320922.20824744.04212914.69545336.78211314.77282443.275805...25.61567416.37315617.7487933.9631228.04277956.94085519.69427343.13173410.79793332.594770
std14.7222750.4751752.6076771.2131817.12862115.3869764.2344376.61472611.0252085.389743...4.20200910.3806761.4241921.9003092.7783877.5269265.7902097.6304084.16187312.469408
min7.7610870.23428613.2986891.2708338.35000018.2900017.91666721.6109964.98437527.812500...13.0625000.71737614.1633330.8559674.13750036.6875005.66000030.2700004.26851215.194444
25%15.9012880.34022318.6428541.85111116.90250035.71750012.03250032.2023687.60500040.459844...23.8125007.80350216.6975002.4732516.01625050.78249916.49750037.8574997.71252722.313195
50%19.0414880.42026820.1862843.36833420.65500140.25499913.61000035.1525679.26531342.535000...26.71000014.49833217.7516663.4620586.80375057.75000018.19500141.25890510.33429227.413333
75%25.0411290.96902922.3538824.30805628.64000047.85750016.66500041.78456518.67500046.054999...28.90000026.71002818.6864585.4103709.63562563.50000025.59062545.09749913.58824643.784167
max113.7339102.48785725.9015816.25555641.625000101.37500025.32000054.62228847.59999856.290001...32.38000136.43546722.8333329.39259314.91500074.12500031.63999964.98000319.16606761.889999
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8 rows × 352 columns

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" ], "text/plain": [ "Ticker A AAPL ABT ACGL ADBE \\\n", "count 1486.000000 1486.000000 1486.000000 1486.000000 1486.000000 \n", "mean 23.861300 0.664605 20.344236 3.293209 22.208247 \n", "std 14.722275 0.475175 2.607677 1.213181 7.128621 \n", "min 7.761087 0.234286 13.298689 1.270833 8.350000 \n", "25% 15.901288 0.340223 18.642854 1.851111 16.902500 \n", "50% 19.041488 0.420268 20.186284 3.368334 20.655001 \n", "75% 25.041129 0.969029 22.353882 4.308056 28.640000 \n", "max 113.733910 2.487857 25.901581 6.255556 41.625000 \n", "\n", "Ticker ADI ADM ADP ADSK AEE ... \\\n", "count 1486.000000 1486.000000 1486.000000 1486.000000 1486.000000 ... \n", "mean 44.042129 14.695453 36.782113 14.772824 43.275805 ... \n", "std 15.386976 4.234437 6.614726 11.025208 5.389743 ... \n", "min 18.290001 7.916667 21.610996 4.984375 27.812500 ... \n", "25% 35.717500 12.032500 32.202368 7.605000 40.459844 ... \n", "50% 40.254999 13.610000 35.152567 9.265313 42.535000 ... \n", "75% 47.857500 16.665000 41.784565 18.675000 46.054999 ... \n", "max 101.375000 25.320000 54.622288 47.599998 56.290001 ... \n", "\n", "Ticker WM WMB WMT WRB WST \\\n", "count 1486.000000 1486.000000 1486.000000 1486.000000 1486.000000 \n", "mean 25.615674 16.373156 17.748793 3.963122 8.042779 \n", "std 4.202009 10.380676 1.424192 1.900309 2.778387 \n", "min 13.062500 0.717376 14.163333 0.855967 4.137500 \n", "25% 23.812500 7.803502 16.697500 2.473251 6.016250 \n", "50% 26.710000 14.498332 17.751666 3.462058 6.803750 \n", "75% 28.900000 26.710028 18.686458 5.410370 9.635625 \n", "max 32.380001 36.435467 22.833332 9.392593 14.915000 \n", "\n", "Ticker WY XEL XOM YUM ZBRA \n", "count 1486.000000 1486.000000 1486.000000 1486.000000 1486.000000 \n", "mean 56.940855 19.694273 43.131734 10.797933 32.594770 \n", "std 7.526926 5.790209 7.630408 4.161873 12.469408 \n", "min 36.687500 5.660000 30.270000 4.268512 15.194444 \n", "25% 50.782499 16.497500 37.857499 7.712527 22.313195 \n", "50% 57.750000 18.195001 41.258905 10.334292 27.413333 \n", "75% 63.500000 25.590625 45.097499 13.588246 43.784167 \n", "max 74.125000 31.639999 64.980003 19.166067 61.889999 \n", "\n", "[8 rows x 352 columns]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.describe()" ] }, { "cell_type": "code", "execution_count": 101, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compute daily returns\n", "daily_returns = df.pct_change().dropna()\n", "\n", "# Compute cumulative returns\n", "cumulative_returns = daily_returns.cumsum()\n", "\n", "# Plot cumulative returns\n", "plt.figure(figsize=(5, 5))\n", "plt.plot(cumulative_returns)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(352,)" ] }, "execution_count": 78, "metadata": {}, "output_type": "execute_result" } ], "source": [ "daily_returns.values[-1].shape" ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'final returns')" ] }, "execution_count": 84, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "plt.hist(daily_returns.values[-1],bins=50,density=True,alpha=0.7,color='black');\n", "plt.xlabel(\"final returns\")" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "from scipy.stats import mode \n", "\n", "tickers = sorted(list(set(df.columns.values))) # sorted list of unique tickers \n", "tkrlens = [len(df[tkr][(df.index>df.index[0]) & (df.index df.index[0]) & (df.index < df.index[-1])]\n", " \n", " # Compute returns\n", " tmprtndf = ((tmpdf - tmpdf.shift(1)) / tmpdf).dropna()\n", " \n", " # Compute and store standard deviation of returns\n", " std_lst.append(np.std(tmprtndf))\n", " \n", " # Normalize returns to have mean 0 and std 1\n", " rsdf = (tmprtndf - tmprtndf.mean()) / tmprtndf.std()\n", " \n", " # Collect normalized returns\n", " normalized_returns.append(rsdf)\n", "\n", "# Combine all normalized returns into a single DataFrame\n", "rtndf = pd.concat(normalized_returns, axis=1)\n", "\n", "# Assign column names for clarity\n", "rtndf.columns = good_tickers\n", "\n" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "rtndf = rtndf.dropna(axis=1)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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1483 rows × 352 columns

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" ], "text/plain": [ " A AAPL ABT ACGL ADBE \\\n", "Date \n", "2000-01-05 00:00:00+00:00 -1.652114 0.339111 -0.094890 4.533024 0.494402 \n", "2000-01-06 00:00:00+00:00 -0.976707 -2.213384 1.784607 -0.590885 0.209925 \n", "2000-01-07 00:00:00+00:00 1.987224 1.059422 0.559123 2.789052 1.173289 \n", "2000-01-10 00:00:00+00:00 1.483355 -0.416753 -0.371708 1.699401 0.942561 \n", "2000-01-11 00:00:00+00:00 -0.320440 -1.258685 -0.756382 0.447644 -1.854867 \n", "... ... ... ... ... ... \n", "2005-11-21 00:00:00+00:00 0.081205 0.145864 -0.689956 0.268425 -0.122601 \n", "2005-11-22 00:00:00+00:00 0.452270 0.550249 -1.405676 -0.284010 0.103800 \n", "2005-11-23 00:00:00+00:00 0.087384 0.207454 -0.444021 0.462745 0.303559 \n", "2005-11-25 00:00:00+00:00 0.058808 0.753891 -0.011320 -0.312457 0.043060 \n", "2005-11-28 00:00:00+00:00 0.001752 0.109287 -0.038407 -0.927121 -0.525170 \n", "\n", " ADI ADM ADP ADSK AEE \\\n", "Date \n", "2000-01-05 00:00:00+00:00 0.391044 -0.863298 -0.469242 -2.154160 2.964119 \n", "2000-01-06 00:00:00+00:00 -0.698878 0.260417 0.668884 -2.079548 -0.320116 \n", "2000-01-07 00:00:00+00:00 0.723180 0.806858 1.120238 3.345925 1.160135 \n", "2000-01-10 00:00:00+00:00 2.075901 -0.019386 1.207366 -0.405292 -0.615250 \n", "2000-01-11 00:00:00+00:00 -1.075436 -0.858814 -0.971833 -0.877784 -0.169490 \n", "... ... ... ... ... ... \n", "2005-11-21 00:00:00+00:00 0.307816 -0.105377 -0.269489 1.524217 0.196095 \n", "2005-11-22 00:00:00+00:00 0.231241 -0.148685 -0.494847 0.940656 0.318441 \n", "2005-11-23 00:00:00+00:00 -0.154691 0.216604 -0.199132 -0.604925 0.606260 \n", "2005-11-25 00:00:00+00:00 0.210892 -0.019386 0.309780 -0.315012 0.736627 \n", "2005-11-28 00:00:00+00:00 -0.550410 -0.583155 -0.748739 0.196496 0.145696 \n", "\n", " ... WM WMB WMT WRB \\\n", "Date ... \n", "2000-01-05 00:00:00+00:00 ... 0.171534 0.939150 -1.043349 -0.959997 \n", "2000-01-06 00:00:00+00:00 ... -0.371835 0.354974 0.568648 2.964085 \n", "2000-01-07 00:00:00+00:00 ... -2.088760 0.433407 3.599164 -0.924117 \n", "2000-01-10 00:00:00+00:00 ... 0.179665 -0.267385 -0.928873 -0.586748 \n", "2000-01-11 00:00:00+00:00 ... -0.580316 -0.151340 -0.750856 -0.945843 \n", "... ... ... ... ... ... \n", "2005-11-21 00:00:00+00:00 ... 0.317202 0.226646 0.141722 -0.009257 \n", "2005-11-22 00:00:00+00:00 ... -0.419457 0.374999 0.607321 0.819670 \n", "2005-11-23 00:00:00+00:00 ... -0.173555 -0.370975 0.391365 0.245149 \n", "2005-11-25 00:00:00+00:00 ... -0.008719 0.293798 -0.062294 -0.173453 \n", "2005-11-28 00:00:00+00:00 ... -0.340571 -0.552984 -0.481010 -0.526534 \n", "\n", " WST WY XEL XOM YUM \\\n", "Date \n", "2000-01-05 00:00:00+00:00 -0.222766 2.522511 1.329485 3.275063 0.217536 \n", "2000-01-06 00:00:00+00:00 -0.550886 2.241927 -0.318732 3.113565 -0.420512 \n", "2000-01-07 00:00:00+00:00 0.529835 -1.686104 0.013379 -0.197399 -1.084342 \n", "2000-01-10 00:00:00+00:00 1.045775 -0.207362 0.013379 -0.911440 1.788797 \n", "2000-01-11 00:00:00+00:00 -1.525405 -0.518909 0.013379 0.178791 -0.337250 \n", "... ... ... ... ... ... \n", "2005-11-21 00:00:00+00:00 -0.231146 0.531092 -0.314097 1.188517 0.274958 \n", "2005-11-22 00:00:00+00:00 -1.212837 0.224354 0.224016 0.298565 0.197704 \n", "2005-11-23 00:00:00+00:00 -0.258263 -0.488602 0.560124 0.212561 0.374536 \n", "2005-11-25 00:00:00+00:00 0.406501 -0.058102 0.200910 0.243391 -0.543512 \n", "2005-11-28 00:00:00+00:00 -0.806800 0.080393 0.050847 -1.492546 0.027047 \n", "\n", " ZBRA \n", "Date \n", "2000-01-05 00:00:00+00:00 0.656975 \n", "2000-01-06 00:00:00+00:00 -2.002760 \n", "2000-01-07 00:00:00+00:00 -0.392793 \n", "2000-01-10 00:00:00+00:00 1.139295 \n", "2000-01-11 00:00:00+00:00 0.238076 \n", "... ... \n", "2005-11-21 00:00:00+00:00 0.759514 \n", "2005-11-22 00:00:00+00:00 0.075627 \n", "2005-11-23 00:00:00+00:00 0.067912 \n", "2005-11-25 00:00:00+00:00 0.007384 \n", "2005-11-28 00:00:00+00:00 -0.592475 \n", "\n", "[1483 rows x 352 columns]" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rtndf " ] }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [ { "data": { "image/png": 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0Y0Vz5xmytEUW97mcLXA2vfuE+Py4B8/1vdXvcXnzKl/7/vdI92mRoc5Yj3JzR399lcWd77Jx5Vt3cPj8+O1M8dLqV3lp6xWeWXnmnbX1tifTRP2MJFQM+4pWu4XWb6+hHtBC76GsjLodrrz8PEmYC3udmQMaaGNliZ3lq6xdOHfLY+xgiIRFikUAOt1Tu9/dKlL4/cO9ufg2y7CqqHSjtOFqfUCqPlhlCd9LCsE3QivD6W+tEA/yte2uPzLXa1o6YRlSjZemnE6eYDs5xEAfQRoHdzjJIO5j45QoCUlX+9hE7wm/W0RQGWtRxqJGD+hADxmakJfiV2/f4CyE1VcQdu/h7vd66BuS4ZtrA9qtPotv7FVmuTZo8EpnlVbcoTlcp6frbKu3jy41vS7Z2dcxnVybTVU+qK8N1m7f1neC2etHq91ie3OLfv+D4ZO48vyz1JcXufTCD4B8PrLkzlOX4we2S98m5ULdQrgtt0JeXmwxGPShtXhH7WkP0/e29NltIlLfjfq2Vmsav/W/0/x3v33P6+fea753qc6fn9ng62c373ifnV7MX7y+QXt4e7eCNpYfLjRY73xwI34LwQdkWUZzs02SxuhbBIjYMANrEaP/AKyWKKNIdYrtpqAtIkroDlLStIS1ljTWPP8H36F17fYL196VWWnjNKyfYmwUfGCtx//ywlm+/O0Xb97HWBEbm6/vZsFoSy/rY7jDSjPXriA3lrHPfBX2a14WtoZbqLvwF94Jdp8AT9Jb55NZa9lOsnypqPfZgBf1cq26mwreLD3Ei6WnCbVh1Qkwt7nXljwi+Lp2dz0Hc3M02KxcuwSv/2cYvn3R62Gi+J3nl/g/nrvztJkfPZXi1vtfbF3kt8/+NlvDrR/xHAcx/X5eND5N4Z1WQrrH/LgE9pvr+XN3rX4LP/D121O/CG/+CVjLf3p5lYWdAV8+c3s3y5nVNi8vtvijV1Z/LO29FxSCD9jYWOH1c19hdfult3xnR0+JuW42sCaPTN/9fvSbtlgEifY4uxGSZSWSzGGnH9FPhrz67MtYa+lsb5HFMXbfpbdwR9ahAy/GSNNzTT5D6zhz1JXgW2H2lnqjqYaz7SH/27VtzvRCoihj2MnIEo01hjBtkGRvXY3iRuTOJiIcwkb+wBtrWegs8MeX/5jvLB8svpwZu7du4TvBKHpGck75hFnCrS7Q6/2I391o8F92DvpVB4MB3e7N+/Sj5jBdHsb8Zb1zxzVWW8bguCnaFcShoStdNh3/bfcZpppUGWJlsEoRnTtPcvXqWze8TQGE1h3M4H/cnKpf5vs717jabxDfsFjzX638FYlO+ObSN9/2GHcrBO53Le9m2LDH+e9/l0H7Js+INTBsQOMKxJ3dCVYnvH26Umv4Pi5zeIe8T1aVu7ekaRszjBg0utiJKuBitKbf2cGWju5uF/qzvPrwcXS4Q0lvAxZhNGJUWWRStglsTJKWsViWZB3pC2Kb0Ip32Flb4uqLzyN6IdJGCAzSKrAWrYZv+/JeGsZ8s9Hl1+Ymeegm3xuxP8n74AK551qSqtNnyxqeBhJliDNNoxExzLoYqzF3k5IxMkNuDTc53zyPMgpn3/m1tfzL5W18KfifTs6/Iw3CZoqLykfrjCunX4YTVSxTb9nudD83Fy71hvSvnMNEEaJU4o2z5/DLFb7whS8c2D660CTbGFL76aPI8jt7/L8yErJTnsvnJ2u33b6kNrkycwhPKRyTB/eo28x09kcWJ2tr2EaP3pWvA587uOE7qGpzO4QQGGvphBmtQcrR2++yi7WW851lrrSvcbg0Rrj0TX790V+/q/Pr9QuEf/avcT75f6by01+6/fY3avsfACForaX/zW8SxXvmQmsMYb9HZXwCIe/svmabmyAdvEPzGJMRhtcQpFgCuPwynQcn6DfqfO6/+u9ufRDzwdSQfxQKjQ8wSZ8HTn+fh5f/FLeZ28VVfZXBm6+iG5dwvT5ELgtHniQbq9EYm6bijR4W7SC1piRiPu//kC8Fz4DSKC1QmUVoyYuD7/FS+CxfefH3AQjDFaTN8GxKoIdo1UXrEGNuPTv/8502iTH8yfbe7G2nn9BNfapeTFmE3CqGv5vkg2w0Wk8wsCE1U6fTqyNxbrrPLbGWZOEaptenHuapCb30YL3BntJYLIkxNw3af+bCNt8+//amXzOKeIxNyLps0L56lY6cZEPVuNkCGunSItHpM0RnD0Y/punBa5quDbDGkqzceY3EwWDAYPDWfLbB7ZaUsjB8eYsYhbQGIyXWZIAltXcwa9YaJ8tYvLzNSn2IHg3oWhnC2CdOnbdUtblTXllq8ZUz67nQuAmdMCNKNaeW7y7Z/roFpJfFWGB9cDcRyjnqm/8rcriO/uHv3HbbnV7Mb7+0yYtX95l8rSWNFNfO1Bl235+rHphej+TKAtmlyzCa5KxdOMfr3/5Lrr768p0dI03p/Mmf0vmjP8IaQ6v1A3Z2vsGUyAPO7Mgl8XbRw/mBbi/4wldfpfvVr73tOp7G2t1l1qy19Pt9zPt03c9C8AG2vkagY9xRRJhjMqRKESal3FrAyBgTK7DglHK7uZS5VmVMGZ2NUyZmTPQoi5BESlKj0dbFWklD7WAsnG1c2HfWvRm/MXsvZ5xpokyhbvBTRJHCGIvNsl2zxL9ZPMzC8CQ9dZyKjG8q94JhjN9uH3i4xciA64Rbe8WT4Y4e0s5Qc207JesOcp/KTU76dhbARBvePLXNuVe3CdNb+wWvR+dpoQHLTjmkzIBxtUXDe6uZ0AwG5M7Lm5+83k/4nR8u0hzc3UCoteaVV17hlVdeeUvg0O00WRMpVDfBtylCg0wsTpowUJss8xU2wh200fzZlT/j+fXnUWpAnOS+LxMrJi+1mWsZGETIKCXut7HAdqNFL1JcXp7Jq9q8A35wpcG1+oDvXtyhEx6cHAghbikQb8ew24FGAvZHie0cndvEnP3ut1l+88wtt3x+JPDeWN0T0BZYeG2Hxmqfc8/doeBdfxXO/ilWK4adNuY99RPm/V27kE/adpZuYtK+2V7RvuASrRkMLwPgcSdFJt7qNnk7hs+/QLq4SHozc/uIP91u81urOyxFCSsrK5w6dYoLFy7ccvt7SSH4AH+wwXjWZ1blPiE5CtSQRlNWw9wMmP9/1+cHexX3jS4TiJijzgYnnBViITA4aKnpOTHWZKhMk+7zNQtrkFhS6/Hm9jSJdtEWUm3ZWtnmG//8fyVay1/ai1s93jy3w+Xz22TnXufVzb0H1RUVUlMl0zOoLH3LjOyhl/uYtova3Np91lPh0ZRjlDYv8sjFF6iM1gLLzO21kGEmSJMM0amQ1kN0rFGdBLsvdPrthsxMW2QrQbYS0vjWg4vNMozRXBfTKYLPpM/xifiHyH31I621mDA84Le72fm/fnaLdphxZefuKpHsF3bqFqHyg3bChec3yMIbzny9+k9kkbFFWHDTFG0GjDltnls7xctXXmZzuMmZ+hlWVv4d60t/wGB5Cba6PNXWuKlCuz6BauHuvInWKdZYLIYwdm+r8Tm9Varpzdda7IQZf3Vxh3//w6UDn+8X6KXtNvomRbdvxZlvfQ2xMKDU+1ECZEYWiiyl19hh/eKt0z5297jB1Bn179K3eflbUL/Mzqlv8fq3/5KLP3z27va/W/ZPmq63/UeMKXrHu9+Fm+P6hNRaQ3dni35z79laivJx5EwvZGVlBYCdnffhEmEUgg8A07mGwCCMxcuuD/57L5KwUE9mUQjM/ucVdgNdPJFhRrF6ZdtiUnpU8Amsh0aB1QggM5o33E1asoFrDR0zQzcJ2BqM5dqTUTyysIlWGZtf/zoAZ1Y6AHTqHSbSBlG8T2vZ9wLpTJElMSz8Fbz+h2AtGUexQKs3oB7lpsm6lTTa0NpoI4xhLA0RVrC51Ealb/8SZBYio0njiEGrTRZlhIlC70tM368Fvp27xehbzzRtptHXX8hM46R7Ry3pbfzkHFkY0r26TvTmuTyS78C5Dg4DwzTJW3abqjM3frdfCNxqvwvPb9BvxnRukl1gjEG3YwwCsLhGMZU2dzWq1fU8UGjiwjrmzDrJap/e5UtIM8gfPDRWCKwwo0LkBqzBaI3O0rf38SV9quf/kI9s/Zebft2P3z4SN2hGzJy6TOv3/iPWWqJo/fZFq0fXyA9vXA3k7rmTgJXdLW7i45Opfnvzw03YXFoCoLN956kA74j9PrxdufcjXC8h7s7fu/+y3IHGt8uwCauv0N/ZoNeo8+ZfvX2Q0vuVIrgF0GGCMBKTSGb7EXbSYq0cVQyxSJnS1zVce13HE1hcwBIlfUoE9IKEyEQIHBw1wB0NmIF1wVqkDrEqYKHxLFt2m2u1LjvCR9gTSJXl76cxYBQYTb2fsOQOeJg92TavtvlY61m60uN1WUaqCGk8BBIwWCPyY6ydAmmhZEhlhVhKPHLz6WZrQJoKpuuaVWV4oGzAAz8qs/LGOtG24akvHEVrTbPZZHJyEt/fMy1eD5uxKsaxfShbEpXeNln2ZmPYje9bu93G8zxqtRpGK6yFuqngtzpMkEDFBQtTyeu40mX9zA+plz+DDlwq3s0HcWstq8NVXt66yJR/mKM7G1xIJB898Stv2fYbZzfZ6Sf8Xz97Ete580Hkurb5lj5eL9IpbxTKN2ymDVNn1zCBhk89CH4+o5bWUFIxAUMafpWyKAOgVW52H95OE0tun/d4/dmy1vKNRpcZz90V9n4vAQIAhuE1dra/ipQBDz74/7jl8ezeKP7OVZB3sN8BjS/qMLXxDGrwOFkw8Q4bkWv7ly9fZm5ujtnZ2Xd8nJtzC43vbZ6TF642qQWSueuj9luE/Tu84HcT3HL+KxA8iKqXQE7e9anCVBGmmtlacNf7/jgpND7IS4ilFYwVBFZCAliBsQKJQQhDO57CGoNT6hM5ZbruNBofazRR1mNQ7qMVKKUpdQ8GbtREl0Nek7LeoZP2MFnGmt+l7rRIxZs4SYg1moFNCWUepBKFGetbA7aH27y2fZpUhcymm2TG8vzYE/QShySbQViJkzlgLENjSPcLE2tJhQSryaxh0K1T39qhnFqCxCXSIlcqgENJwvHt38W5lmuZS0tLnDt3jjNnzgDg64iJdAePPJ8RaaCaa1GZzrjaGOw/7d7v5KuiX7jwfbrdHXrbG0S9Dirp88b2mV3zahiGnDlzhldeeSXfTysiXDo6wGqBpx20dUhwdscGmeUBKqm+wdxnd38AcLp5GoCdcIdkWCeK+gx7B/0g3e5rnFo4TXOQsNy6eWL5Ow2ZF5jcYGvtnk/VWJzVJkm9ceCCxVnGSraDg2YqbPPF/us8mlyjFvRZd4Pddpgb+nirM+9r/NtuuRKnnB1EPNvuH9BypRFkO0Pap1/Nz7vPH62U4uWXX+bqPr+PtXfu3DM3WBf0rjb+DqKArSW5Hmx06asEvS6V8BLyDquXqKFL0qwc0BBXV1fZ2trizTffvOv23I4D7uEbcjUhtxRsbm7urom40Yl48VqTb58/aDo0xuxONu5OY8z3ScIhSfgOCkOot/eV38r//VvPXuP3Xlh+i1/5vaYQfEDYkmQGImnInngFO7vnU9BW00raWCMQUoEAO7qpqVfaXZQ2c1IEBrBI9h5GgKoY0vUMMujTzRRxYgmFIiXGiiGLwxlClc+WE5FiLSSRYqU+5H/+9l/gt0Pa/QX6SjPUmh4e2gRgfKTSkGmIQAtDZkcJ6lZBnDIlKmAEUkGShHmVmFHty4Eu77bxabWDtZZqeInkyhU2LlwguXqV5ksvEg3XeLr9A9y0z7TNgwhsoIkCF8Se13NjocPaxdZbhuOLP/guYdhjYeFlBp0OYrBN2Flh/co3eW37tfwe3FDFJA/iIQ/ysZbaIKXUGWAtxPvMRPvLeO4/r0pTsiTeFVa3k1nN5vdJ0yZZ1rnl8PFOBZ80musizwpwM4Mfa2SYEC0drHzz54NL/H7/W0ibclRu4osMR2qqh+oEj1ylOqwzZSPAkBlLJ0xv3a6Do+vNNxn9m91kUeNSUmWiWyHbDtGROlA8PeqnbKxvMBwOd/05kKfKDKLgtvVVaw2f/rNrJIuj0nlK8y+Xt/l6o/uWwi/GZCTJ2xc3X94ZcHqlQztMIeq87bZvwRiGFzLixSEy3jOC3biu4o8Tez0DQ9UQatThfR1fWVnh4sWLuxPBXvxW/3uvGbO50KW7E43cBncu+DKTUe9vsXTlTc597ztv+f5WLgHLDdr1O2Srd28XOS4EH6BTixIaOwX4MaZc57oq1HMM5zs14qC++1ztCTXLmBgyLRtIqxE2N4L2q9cH5Hy7TFi2AstqyZDFCmPyQTARWxixg0ETaZfcS2hIMks6GFI9vEH3kstT7Sof7jrUtjd5vjvHlkqJRy+JuG6msOR+oFECQa93honXJ5mQM1SkDwjGjclNuNftUBastpRsHoVnMFit6X3jmyTnL6CaTazZZPXyb3MyOc2L9kkWnBNoDIn06XljKJkfR3U6XPq9H7Ly0hbJPt+RbSygLj2D6q4S9XOhnpdZs4wNOuyEN3d+W6UQKsFagaMN5SzjyNVVMBkCjdEhYWbeKtCMwaYZG9cWWL10EaXUaCZ8gxC4Yb+Odukb922XmLo+EGiliId3UK5JgDUKNbrfBhcjPdzUYqUmFDHqhpnztaxNU/d4Yuwi/vE+vXIJ7YBDRqYTDg1fZcpfZpIeQyX5o1dWOb3aOXCMfv8Fms3nDvRZYO5YcO+k27wwXKGvvLzfaR7WZWOFHqa0t4a8+b01ls6+NWjm3Eaf7rBCmJRueuy0kRJeC5leyb+PF/K2n+6FaGs5N4i4cQDvdl9jff0PSG8SpGMtVBPDx1qSMTHNm72QtY0Nrt9gay2vv/46i4s3ccDuHmTvnrvv4jqHN2KSMcimqDXHDwSHATSbTbRSbC8v0qvv3NSVsHEln4Sutcqc+sYKSXirQKcbBaJgvb9GliW0k86BsoeQv3vt3/uP7HztL/mPG03O9vcmpXHnGMHiHI+ffZNDm0tYCy8vtrhWH6CMopf0uL0l4t5TCD7AaIV0U8BghCCWPlhLB8MLkyEDnRKPXWIUzrK7nwCm6FKWEY/1BgSZwlMG3BQr9oSjHglBYaGqelRkitAefipw7KguoxFgHGIUYzrj5CNrTB1q8uRcXpz48XpGJ6twyV9lI1liKTYom1eLud4kKzSaFAZ1rFEkrTlaFrQXMzOxxRMJTNqMTAQkVAlUjag7wYQOKZkEOxJ8+xGlNjY2SBRiJC8i7XEoKfGhnUdxdQmsxWQZqtFguD6g3943mF/+BgDe8E3c8CKdTKHeJqgFIFYxJsuITMrOxAxbU/Nox8O3mvHlBpV0h07aII5WWTZdBuydr3Z1Cfe5FxlECf0kIR4McgFk85mqGQ7RzdYoWGNPeP1J/xhX0irhzZIEb2Dhm99h9StfoVFv39DwHk77KiLugAVtNM82vobBYqRE+w5pEJAhSd0S7WCSjVuEzT85dpXz08dQjmTgBwgg9sqseoJYQuJFxCNz5wv7cti0Dtm4tM61NxYw7GkJwtqbar2RbXE1fI5e0sm3ayS8fPGrBEttXvPX90XLGupLIZfODtm82CAMQ4Y3WWkjG93bTHs37VdaTzGJoRMdNK/dGJdkjXnLcB3FN09NONrVCGupygl6wjAchvSjLtYasiyj1WqxNApa2W1HpOhsh/e24ovKfee2p0iW+5hkX8qRELQ31wm7Hc5+79skNzPZWoNMXDadMS60r3DxstzN9dzPzcyOep+wF5gDWna6uorudlk4e4HNJOXrjb0KSJ32DE49IYirHFu7yk4q+eFCg6+c2eBs4xyX2pfZGLw1MKinNN9tdBiMtOh7XWOgEHwAXojrZDiOxlqYy3rsVE+w4I6RCYsfXS9XdsN+xoIGowQzvXxW5Bgz0rxyKWGEIPH83TSImt/BdRJKyTTSCsqZwFrwjYNnPFwrcKzGrw0IrMEnQSuNNimZyLBC8ZGdhwn7j6GNi2N17j8aNVFg0Y0LZIMGUikiJ+Phw+d49IHXmRnbpmoNVXOUSfUI1nh4NiHTYzjoPD9wlA6Ry2qD8If0kxSt7a7ct8Yyk0qCTHJsMKrrYUArTRorrp7e83HmZmGLsAnSDJHnv8dMo47M1IHUkOtc6a3w/znz+1zobnJ62mF9apqNuSMsHnuYVDgELYXNNAbw2SSxhqbcm5EuzcxxMahgRkWZjTWIkZnRGaZgDCaOubK5xLPPPsv29kF/7NDY3YHCWsvG5Q5Jb097ABhfvcZ4p836a/uKiesUEXc4vvJneM1LMNxhI9zglfgcFoEOPJR0sSWFBZQooa0gvVkenoHDHYsX5YOTEQKBwFhJIiQ9ynRFie2bXL8kSuhtjdFerx4oqbo/X3P/YL+cfpeu2uQHq9+CQYZ7sUc9dLk4eYId5ROle8LzYhuuRIYfrlxke2eH7k2XsrJ7Py0MOgk7yweLBZTUNrr0OnZfndj9K07EwyH9Zp0kusHX+rbRh/nDmfSaLK21MUaTZLc2p73+V6tcfnmL9mZ+jguqzLeTiVsWB39brEVf+Q5m/czd7LT320iomd5Bv5faV3whuYkmmq6s4dlxrvkDLm13eKO7zWJ0cDJijbm5v80e/EPu2+b3zrUJjbipEM0yh/0KwKWBw8aofux1f/1O9FYrzp9ut/mLS9d4aXOHfrfL2gtfY7h673L8CsEHCBsj9HUDpibTHtoK+t4EwljGsxhnXw0SbVyitApAhwfp2ONcCD5K28kjyIbJxu62Rgi0dSilh3G0x+myQ8cdIjHU4jLjUQVhDTXt46sKvnEBhbAGYTXW9HneeYZwso5XTkFAyeQPXsX0+RnvDI+7ayR4xI0Uk2qitEnW3AabC+BKqQtY5srbVLKYCX2cip3BoUZqBeAhjGXQ7uxWOhGAHN9A1rZY7l/AMRZhDCUV8njjNJ5S+JlBk6KtJlUpEbeIrNz3+5Q5x4xtUQ37SJsd8IU2EXxN1vhO/AAvtOsIbQlLVZpTc1x66ENcmXmQ8cmfRpijYF0C4zJrysiRP8kqD6d0CG3NbkuEkLmp0x70TZxfu8rm5iaXLl062NZ9je01IjaudOiuXP8ud8xUYodSKnH7+wYZa0BY+qN8TKI2iUlJjSIQGt8ofJNhEQQpVAYBaeqRGPctE6pa83HMtQ8z1g4QOm+/MBZlHELrjyy1gteZyE25+8a1c/WzDNVwpOIKdhe8tXtlsa/3USrF1MYipU6dYdpHhPnkZ2WsRENPsOVVWNfuaHeTFzg3los673cU30Sw2L0TGAPd7ZClNxrofRqLtBmgyOgc2A1AGcvOKFo1vVHwvY0JTVhIjU8WuvT7auSjMuh2B9VoYKwhMxmpTkf9GbkyGvmg/b10nAVdYjE5WBzhTpaAWlm/xKVn/zNb3/t3t93WWos2lq1eQl5pzfJGzeWa6yLj7KYRlq5qsLb658Rx7g++bvbUoxqcLTNJr+8TdaC53xeYxqxdOEdzc5Hh8Cpxprm8vVdNRWUQxSLPKd73DHUSzZn0rabqWMe0TIyyhpgMbQ2XBi7Da330yvBt1bhGmpGkCQmwc/UCzYunef0//avbXq93iyKdAVgqzbDyqQc4qlaZkW0qYhxNwqw7hXJTSiIhtptI8oRqrUrYuMoRkdH1DIH20NRY8o8TpCmxm2Bwd+fj1fBBxqIHQQ4IvO/xCYZ8v7TOWvYQFkF1n7yo2JSpYEDqCkppmaS0TanlsVDrMdGewXHzqDmD5WF5DSEE806Hy/aL+B1NElrMtCKIEzyjcCsNZKmPKxPKpkS86wXMIzpTG5BZl+k1jQ23CB8OCHxDYgyymvtUFN3dQR8sblnhjzVZs5pMpAy9PlnQ53sPuzxsDA/cIqJLGEtgh1gDvkqIOtu82gl4OoyZAC7jYhGExkNoRRDHeEaDznMgrRD5wIHFM7NMmlkmlUNi8iCdsHeIec8Sqv3+HLur8e2zCWMiha3a3aAaR6VMhX0o7b3wWbLnPw2blma3w0tXXqBeqhOVO8ykB6umJkbyX8KPMdlr87QfYsfGmLEDEjmNtpLMdYncMl42QclWGIvHGZQ1WdYGLGEUorRicfLjpI7lwaaHxEHg7rolDRYtFZgSGR7dfp+JyVF7dcbFq29SakPMNjbuw9prkMwcrNAzGqDm1hfIhk1KG9eoT09w9LClnSq0tigjwUJiIIsTZJiCtVgDxrFoNbipHFJhik41mdZkSnMs3kEGg5sWBt8fhXj929O9AZ+ojfFwf4BzwwLKdp/Gt36pTXNjgC5fz5C0aONhrUSNzO8i1VS0YOPaNS7oJZ578TnmynN86eSXgHJ+PaMQa8fQKm9BNACbGYQnGSSKlxdbzFQDflppAte5oT2WYafNN69e5YlM4cu9iUA3zCj7DqkJKbtlHOlgreWPX11jvR1h04QHlcsjdsilCbD9Dj/9/Fn6n5xGP/bJ3eM4NmU8eYZo60NErkfJP8qLyz3+m6OHsVhSNAKDo1J0KqC375r1m1AVbCxc4pVvPs/yfEQr8vnp0FJrC/p9QT32OHRoC5ENQVZ27wzGIPp9RJZhvdxsvdRdQptJ2lZybOpx2tk2wkItMshuhjAJLjHYMiCw9mXgWH5EZRjr5Gk4OonAhZaO2RhscLR2N9VgfzwUGh8Qu4JS9jCzyRzHoi7WWFwcTvgPM+7PYbXlmO5RshljKsRqwyfsOb7oLPFwaYdEwrY3S4LPsnsMhEELixkllJbjw3nmn6pxDI2SFpA4IkOimU9WkSYf1B5LU5KjfSIZ4Tj5QzwuQmIn5KocxxUOVhrSYYI/MuVYJJEoUTIwGQd83cT8IJBkgCwN2PSP0JGzmBRcX+S5rsIQeyE2jDi5MqTSUPlLk2ScDgdsqQxtLUqAiCNWdjxcaZECpk/2eWB6wGfMA1QpgdCoapnNow4vTufaolGKeDAgU5rhMMVoC9rBG/sFPH8eLLzpP8HWdod/deGbvNF64+BNGZlNqkm6mwYghYuWKQOpiGWCwDKVaZ7se0xGkn7iodFYm2G1wkTxgRy78V5Akgl05mFihd5Xx/HJa6c4srFOZfl14jii18vNc720TzzU7Kxb/s1X/398/c0/pTl2HifbopEd1BZ7I+0o6Ta5unyRYb3OobSBRZBKB1lOCR1BIso4xjIeAVYxHFzGJJY0GeLZCGVLhNYhLHkkjsQg8EZ+GOVolJNgRIo1Ps5IdtT7CWc3OhxanqA/qNLenKL97T/hStelP4xY6y3xev310fOS42hFpd/FSy28eg6RGCKT11lFSAQSYyRKKazJA4mMsWRqSJZ10frgsjfaaK5UL7E+vokymrGdRT7Uu8ShnT/cpwzs95PvC9+3liRO6IXrSJXRkvNk9qDWsd86sH65TTzI6NRzjW2/Nm9trjna0Tn0KLBnpbeCMopnV/OqLNGVBXrf+Q7R2fNoa9BaYhJNupn36+qoys8Lm4r/7btX3xKCv3nlIm985+v0GvV8QB81YWt1g6/+5v+b/+M//Db/4c3f4Y8v/TGQLzO13t7zK59TknTYQFiDH+Sf+8MAwt6u9uSbGCssqXF4oFPmqaWQnWb+3jdtn0wk1Ma2KbndfEJ3Ex+1Th2SgcviWq4hLlxukTTyCUJkfWq9C8jVvfqgQkBtY4ny1Ssc/sFz0GqQqow0imgPfFI1yZAa4/70gclPSe/gmT4y28bYS1g2seQxCvNnOzy9opnqGoaOT0dKrmZdvrzw5be0972g0PiABecBttLH+IR4kZl4QORZtrMJrFUIajyUWh5XIZF3hWf1I1jgIblBaEqYsmUrm0BbUMIhlAFjcokJdZLh4BDR2DJV11JJDQPh4roBSiREtoKnDDODx5nW27h2jebkHG94jzIrn2e7FvMLnVEDLWhbIhQONTzKIUx0oRaE4Ofm1JoN+VlxiiX1JOupj/FKzAGprLAcnOSaG/NZvYwpe3ym+gZjcsA3W3OMrW8hSknud5IOaTikOVgjnT1KKiw2iEh3DD8c/znUwCMwFtcJ+PjaSUpRi3j8ad4YP0nW7xIAShjOOYr6tQVUlrKwsUKzHSJiyYRfoS8hCsbROsZpRIzpRXrG8lriYfipvSFxVDYuj8fMf4ZSonGxwEBkeCZjPgbjwkTmAhkaRUJCKmoYrUkHA3prHdL1EkFnDqUt8Uhz0HHG1soK63/wn3jkzFXWwgdJMsv3Xz1NIjOePDbH5fZVduKUTTVHvzLgiOqROQnCBpjWnhN/dbDJFl0wlsj0kDpFbzTxkklsSWL9XGXTQiKsRzVRPLjTRmbhyG+qgS5PVRVXkhkGfpvlQGCMJpIulX0De6BLCEdRUwPUIP/89/70HCrJmOsO6WqLTR2unl6h7DVpVufY7i/x+ouneaxsMIdKXC9B5BiLFYqqSCDMkNYijcYRHggHR/tkRpAMQq4vgjBSjjD2oCC42F2lUfGJxZCS9nm024RUQthBxzFGRFTcHWwzwrpuXl5vNPXuDwZsbm2SkOAMS2RSEbrjEO0FVtzMx9cUhr4DcyNtzCqFzjLCLMtTMm7Y/rqWGccx7cUFxkpXuPKHX2do/xolXDKtuV4//PoV72X5Puc2enzh0b1E9o1LuY8qjUKyRDOMDcZYlv/8D/E6O1RfuEhveJL69DY8xVtq05okxkaCx7s16n6ZzBoa/SbTz28jIwf8UZ9Ggu9wGCBKlql+bokIVYaqdjhyZAMr4Wr7o3x/+QiPz3YQ1X2XzVpUmmC9vEeDYUqYDLliHuS0/DC/mnyVDw9f5BQ/N7pIgvJO/myPXbnElhpyfn0J2xuQuS5IS0xAMCpblSqzzx9owcRgD/oap+sxLSBILAt+jXjycb6wdfkt9/O9otD4gFerH2Xx6ASh5xHolBjJutcjLV/GHT7BMZ0xpceZoYnQ47vhv2p0+Zb9I7sB84kXszIW8nS7xm+EGxw3hkNZDDhU0CyVE86WHZQW1PpPck09SJs5tOug3ID18cOkUoBwSEt5NJ9BIBOHx3qzTCeHeCA6yqR78kBow+eci9REyMfkKS63/jsu1//veGmes5c5MUooYjfBI2Ne1qkQcaTa2g0+gdyHpzGkaY+rynBNeix2D/Hs1s+wYyaYER3KWR+TSsaSFRwb8nQ4QMgSxsv9m47fZVFqWr0+7TDm2toW7bDDwAoUcKnm0QpcrJBMbFoOXViktpVitR75HvJerbi52SX1KsSeD0gycwwlJrAC6l6VzbSLap4HIDH5kKaFROGQV7MUbHc6XD3fY2Jrhc84X+ZYaZFEKEJiEp1SWl5m49VTuG9uc3h5jRMLCyyEMT2leXYzfzEHysUaGIzu9/WIXZUlbMQpFrjWWySyGS2V/62sR2wMaWsGoyWOP6pajwArcZUGIzjSaufuuN3wewfreDSmpnhQXWQy6VLSYe6DHs3mhZOB0Ez5EWorX2B2sNwi2uwxjDIsoGVKn4TkgSbOdBc1XEcuTnD2T36Xzh98mclrFxmECfVywvJkRpzFeKZJafsc0806D292qSUR3lQf7WTE/ZiSN2Rm6hKB2yczGf2stxcZawy/f/kqKniMzzeOM5YYPGvw6prk/CrtP/oT1td+n4lgmVKQa9NqnyDo9fuj/ufJ+QKLcTR2a88ScN1In5mMRtQkMxlvehpjNL2KixWQOW6eTWv3NMvUCjK9m4uEtTAcDplw11ivvc5QnUNYgcXu5u7ZJCE59zqLEpLrAugmpt1Bq4nfquf1U40lHmSILD+GF2U82X+SR1eOABDuT9i3oNIEz5miplweiQ7TI8M2mwxViFzby++0wpJqF/apVyaOibo9bGW4e93s9g7+9g5nN6fe0tjm0iX0qByjsRFR1MUxilkijFFUTH5PzCAlXR8isj46G2BGftay6HGisoJwM2ylgxUagSJMUuJMs9nvoZQmiTRGWUBgjaVxvsvCqZeud5nqYIGnd06xvS2IlUTv9Lj66st0d368CxPfjkLwAU6WIU1G6jgoIUi15tDEtwmqFzhMHUeP5cEeIn9R/f2rlgsQwlIux2ghsYBw4THnKoHN+FQ4xFM1hHVxjEvP1XwiiZhLJwj1HC6KlgvS2N10ARKZ+1PEaB0Fa3hwI+WR7iInovm8zcLLNx69zw55dGfmaC6WNYEVhCJmPO3mqwOQm4o+7+cV4C0WR1vkWEL5SIxA46KQVuPrDmPRazQvbfBa5wlKW4YjsebXxDV+ldMc2ZzC6lxLcbIYEEgSUmmR5TZTS2epri8BsJg1SYwmUpZs0GdxThBXMrQF3yZULJxsrFB+4zmS3nNIBlhlWHHGMAK65TJG5v6xWBwnE1MkbgWjDdslj65exzUZyhjKNp8o7OZbCthOUqrpgMcqr6ODRfzpi+xUFbHN6DKgp3tEKmUQAYlC9GOESsDa3aTu/f6x/QsRC2u4OIzppT1aww6hVRgsDpJJ5ygeDsvuEQjMqIyiIMWn4c+MfJajY25XUP082vNQOINrJNqFqaSNAPwspbk8TunlGLGvCLnAMlA7yCTGJEmuQdn87oLFVut0qLBeHmfYgjSSDIZN+rFCri7TadfZmZJMJU/QcMZRvS5O2OBQS1GNE473DS8+9STffnqK2nCGp8LDRLLCYS5Rj7dRSrOx2MzNyRunMf0N/ocXlvj5xiH+p/4XGcoPIRoZ4SBl8/QyKsvfG9fL8zlPdyMWBnmRgWiQf6Zig5M5CGvYPrLF9kTnwLUHeH79eRa7i1xqXcZiEVmMRDNwHDJhSOT1EhK5ufPbw0lObVXRGsS1CTgzjTGWzeoab1QTvjMjyIwiVCHe9QINr5zGPfMKj576HoOK2X1n6v2E//nrF3h5sQlC0L96lcrOJiLNEKPISzG6sZ7NBaYz+rc7jFD7lghS1qKtYGpnA68XsumkGGMwo37uLyfH9jGcoYexlkE4pPXVr0Kvs1tpxsYGP42otLtUOj7Z4g6EPeJBPqFQiWQwMrOKuIExGRXVzZ9jk9KPJJ16i97yNu3mCjZpU9Y7dMMUqwyHxQKBo3CmtqDcw5moc7Tc4ZPZaUJ/hUtTf8EgzVdIiYYpz/cv8sb2Nlmo2FlcwBiNMYpquAPWMNffYbX1abIXF/n6mdf5s7/8Gu8lhakT8KMQK+ponYJwSTKDcjWp43FI98FKJBZPxKOH8eBiPBYo+0McnaA8j3owi+qBMxoh3UwywQkyEfN4oqlomIsepi40EgMopFBIC9YIvHoJOxkzMCWsjVEGMC49b8B8p0w5HqKdkQMZ8FG4aCT54JmWegTGhXiKFIFrTZ7ptt9SlCa4Qw9zYkhQCwiiGLFdZlN9itlKTOnK91BS8kZF8GTa5QkianhE0tJxAxIMHg5CJwSJxZoML+7ixpojV+qsjQsaY5OkeSlQTCZZ9FymYgeSEplMiY1LRXZQSvJIvMTZ6LPUe0NC/wLWyWeyJ7Z26JbHaIawMRbzybCcTwawpLLOwKmh3bN8cviZPApW5Noy5KZbnUY82ThPf3YDzwcVxHh+l9pYl5VhFWNDbBIx9/FxysZheFFgh00y5SEChbVjWG2Z216FpE/NxnyhJTmRDFiYnMCQ5x1aBVhD4iQc9x9m3jvEvJ/w+rTLhHTAwozt8fLET9H3jxGkGVO42DhD9vMqO6kviOsPUJo3KKF2b5g0LjY4gtIZfpqivXIe8mI0sr/F7KvfZzM5xCBNqZQ9nNHAaYYhW2I6f1rtgzwcT5HpjHZzASc5zjHbZcAXWXj0owgTwdoFdFZi0oo8oMZMgRFsVissR2Ocm/c5H4wzM9hm2ijcpEy44dMbA3tsh2Vb5aeUpVo7xOLkIdquZXDkLF9o5ykjSaR2S+QlVnCtO4Bhl2NLPXbWeqRpB+15OMplc7LB6SCjXl3k18P5A+/rheYVdno+leCGPEWdB+AIrXYDgSyQ6pRWXMN0A+x6CROW2Sw1GbgpWBesYJAmeELgOU2knYHBgFhZaq0+jy+fg4eewlj49z9c5PRKh7PrXf7uZMLM1WUCMuwnKlitqK9cy9OLsnT3fTMmX+bppVOnWWtoThw9hq7X0dZyUZaxToWTg3VSd4KqdTEmr14Ta0HVQndwFBuXkVYShiF9Z8DapVOQ6b3UFAPSSKr9CoEs4az/AHoNEmoYLUgjh7CrGHZauGj6ZZ/UWGyWzye+2nuCaxfXmCMlUENiZaj5+SK/2VYbE8ZIX2JFPrlygwhiy0Ms8mItoR+sMsVhHKvBdOioPmRD5pkEYDjsomx/VOjD5LmDZhLV9bFBTDx587zPd4tC8AGVpAdlD2sNFsFGv4QjFFbmN8ORU8TWonEwVmJRN4g+UG4bLRJcYWl5c2RuEyEtrtU4apK6nEKgqEQfoakl2FGYvRBYDEZqtBVs9Wa5Kp9CpSu8EH4Ef7CFIWTd/RBVoZnIulQGIYxPokcDvINGiD3TjhIaK12UA5fLk0w2LH5tk7HOJMhyXsUjy7XXdOCiSwGh/DjBoc8w6QpW9SqDuSm6WD6/vM6nyot4ep6KyQgVtN0SsVR4xmFabvHo+jQlxyJMjEwtWeciXu0oj5Z+gOtHJKZEvXSc5cojfKT3AD01gRFbHFEwXeoytAFNt8a6mqcf93nQaXCiepmQQ0x3FDtIhBHUxxSEEmugRERPRDhei4aziZ900dLgixI1OcGGGxD6k5weJDyGxQqDDIZYYTh66DwdM02//wQP8WEePt5n3X6fqZrLxkKZaAD9xgAx7nJIxGxmDnPdLf5afZHjjzYZlwmtBwNKO4sMGusIo8lshsGy4UHNmQZgrFrh6blzrCcP8ojZ4GfTN8j6Dn81c4wzE0/y11jFScEshXiyTxYGPDv5y7jKIm1IaWYZ07K41sHKMsqp4DhjzFFDCIdNmTFfj6h1z/ChsS/RKU8zMM5I0xFoZRDKYcaeJKvM0ojAE5Kp9TUmagOWjx8n8B4mqczyuH2dB/qShBm6NmAiO8pS6VHGexXKk2v0tctqycERXdYrcxwWW0h1CBF5dJYt25807IgKRnq52d9KpJW0y5MYtmkkKfM64Hp4qjGabLBBP1rlW3/yHFlpDl8pOPIgAHU3j6BOjaUxyk2L44TFxUWWGn3i8DBhss8PbPVB857Np0fG79ARLrH2aG+cxPRazKsZ1tIWnVKJAMGU1myM3mht8oRu7N5iyGWTG8a2Nre4sFQnUR5r7ZRzcY9JN0JkoyLxaZ3l7/4hw8VtSjtrONohSyGOLf/Ln/0+uVV4juHlKySNHY7pKhUirM2o2ARn/EMErQ28rQ5tWnzHO8HHnIxIfZTucAxbBZ3EiCAhaYdovX/4tpQyH9c6OLFHz7pE3jRlY9BqDOkeJYt71JcTPKHA+hgpSfDoqyragjaCRAhsGqLymdyocL4hRBJedxxaQdmOI2xM4sRUTMJjWZcwc6niYFLLlNeia8TuLbEqwnXy+OojuolwAqqiSimDsD/Edfc5Jd8DClMnMG36CGlybcHKXTOUFpA4HiBBe6xqhzM7Y7v7XTeBfdS9RuCOalRKi+O6pNInEQFzIuGx0stMeh1CL/dbOUKQuYLR+4Qkt+MrKzEWemKSZpyHym9HR+iZCRCWZmmKnYri5HyTT09+n4rjkb/2zr4gEFBYtkzApdJJtIFaM+XTFy9hM41DQtdKQhykAZ25LA8+TcZDKCkQFchKknNP91l7us+Y10HhwmjJJkdlVMY6CCfBIQZr+Yw6T8mpY52UY2aHzPGYDOoEJEweCwklrFWOUnViBjpAOAofh8NOmwfdOk/rdZL+09TlPCkBj9dW8TQsyYdILRgrwAqGpVGOlXVHxbLBCItUERfiNuezDuNyilnnEMJO4acunZ7BsxZJboISWIwQOChq6TS2FDHA4s/lZhrHs0wOJJNGUg9LJL0OSdKiX51hQlZRxiV92CAmNe7RlCt/+h84tfgyAztA4yJt7o8MKi7+0Ws8NncNz095UuXJgLNpd3flgtVDM2hc1vrHaY5PYh/rIwV0BhnpdpcMQyZ0vtiVhVRaZoLHqBEQIJjzY2Z7FcavLXOi38RRKYcTQSwUnXJAagXzyaMcCY/yi1GZ51SFZ8Y+grGaSlInq86w3p1karPHfG2TiaPrPCyrlLwEUX6SaWecAR6u0cROH40htIqezWi7IZoS2kK7M+BM60Xm7BqpFERuHoAkrUMiNcokdBt1XmxujCaXeWrCoL5Iafs8b15+CXfhOYQYBURYiz/QCJNXmzlbzwXQ+XNrLFy6yNpaQhj7DMIKFsiUGQnaPP92xZlnYAQuPXR5i+ZEDetIKkOXqrVk7HBMZSAgsy5P2xQjLErkK7FUs2WsTcGaXX/+GpqzjQZpmtLohVgLz3aatN2Q2I0QeoBFkzTb9LYa4ErwPLKBxD98iiz617zWfo5h0qTf3CEJh8y7Po5N8UxCYBMkmhorlLyYeHWFiWiL3rBDQyi0tWhtcLIhDFv8RWWaPz8OG8H1SijX7SD5mHTOn2Igy3R1bTQmBJgsZtBuYa0hxtJ3ejgC+mkZTRUTlcBYtM6jF1wrqKQDrIlZLE+y6M2hAE9X8NQMA/cRHJ3xK+o8PxPv8JH+JvVWhYW1kyzVj7N45WfZ2ZnM/fcq5qWhw4TtMac7fNxc5upsj4snApolB5O9lwv/FoIPgBIZxnWwUiDwDvh0lBSQBPSNT2ogxuIIi3O9ViaCJ91VfiFZoaY9vKyE6+9zvpFHe/68/C6Pmg6BBM81SLlXkklYdl8whMQKgSuTPSO/lEibD9aPZ8s8UPsuVrYZC0Ic7WFsDSsk+nqAhIAdaUhFhh/vYLMBYVrOhTmGhq2x5U7TEBOsmSM0zTQdp0JYtUQ2I60IXEdTcSM6novCIUoMkYoJnJSJUgePBEdEeDKhUtlkpVRlyq5TIuWQ288LwJh8OZ5SYrBOiCEjRTElNB/zppgkQRqLMWOkrWN85JLgSCdfcSIPA8lXNNBYMmsYkhC7ZcqpQJq83qcF3DhGr14jSQOapQr9WjX3yaJRrQFzNqUkr9t5BUp4NOQ4YzhIYXhl5jCvVz9F1TzME5/rYBgyoQRONkDUV3CpIkTA0P8kSkNsA4ZZlVh6PJG9yWxyGS/1OTI8xOOdp4icMWLfxzgaPUppkez3zeUMjps8cAnB+NEuNsjw/T42jfEySSuboutMoIVAWkPil+mTm+YqXsaMiZib2CAJ+8SOwSXh0OYSE9uXuHR4msQtMW+OMq49ZjKPipYkImNzUmM8wdbEA+g0JRsMmQgFrYqHxTLPw4wxh2MlQiiM0MROm76xdEw+QWyUQowQGCEoTSyTNV/io+r7tEsC44BxNIEBx1WkRyKm9A4zKyvYrkJ1BFls8NIhkfHoVn+Oc+WfZmnmJH7qUtvY5PiFAcevalxleOrSKvr5RZbPXOW1C5dotktcMy5NI4mzvNqSMB4SyVowx5J3lJaUHJFXCOwVJm3InEkoR+N5LVdA6hRx3V9b0ohRxLBvYmaT0/TCHZRIiD0X6xqWpOac52KHHYj62CQiM7lw9o2PsJYIl4XWQ7gyfy6FsPlCweUeJRkz7vRIkgYxfbB5GUBrMjAGN8mY6jzP9NxV5o9eZqbWYXK4Tceto6TGiLxakdWaLE254knaTPKXEw5aWPqqTMT1ghmKzdoW/SAlGw3xjYrh6OwCU7VNLDCUEaFnCeeniB0nT4WwQGSwWYYUAmkFk7HBmAGpdPGk4Q3f49XpGbQs0XWmwMK4EUymNQ7HTbqDEgbBYuNxxhNLvR+glSIREpV08dIBm15E7Pl8KJjjzQee5NpDc8R6b7x8LygEH3B9kLUIeqpMaPaqN3SCgCvVI/SEl5tChKFUSglKMYH0qMganvBw1Ti+FbjKY6Z9ZDSrze3nHTdm6IXUDr3MWCABgTYBsZ1AIJEIAqeEEAIjPbQzQ0m7e6H9NjeJVsl9jK5IuIrDQDXAaIxJ9ofbMNmpEoQlZNLGSyLmY0tFzyKERQiba1DAUJZBWBIpUFJg0gSTJOj2KsejiGB5nG6lwU6QQdrDdbZR4wO2R2UerBBIT1PNHKzyKfUHoAVGOrjW4CCIBxOMnexROnGKrZltPuq+xq/636SKoubNoJEkIsAoyc8OfD6rHCoqNzdlTjKKztRYAW2bkQqHEh5l7eIYTUlF6HCLyqDLoX4b0jYkbaTOaIc9qs0dLuoHiKVlSzosOB5XB4/SjeY46ZzlcfEijVLAkvcYK/1jOPEvMOb1ceI2850VdLyDkcFuNObX+QUGdgrFOGQuNl3lUa7yZHKYo7bKuIVUuOCFu88AViP3G8dH19+d7uLPhciax/bkBFI6TIU7SBKktWzKB1lPj7HCYRLp8cKHPssPT5QwJiHVfaQuQS2k75WJcdFW4EjNodIaT5ZOYauH8FBsBuOkXkgCJDKmHyTEvsvA9AANVuFoAMOZw1WeEB/HWoNnoe8KYs9FWoGyHm3nBJkpMdVNKSvNURngM2AmWeGxcJmKjZHCYqxiy/VwxjT6gQT5yR1m+nVslGKNIe1qfJNRcebxRZkJUUFNDvCNwW0PWPfm2Rg8wewOTJghq88Mubji8z33MI1KnhfbsoIkSUYJ+XlQUeZOYITlYzSQSMZVg4ejBkkiSGwVYR0whiwd4m4NEQ1JO6yRCo9M+qw6s5xKjtI0PYa+jxKW0Ien6hmPvvIS3toCRAPUsEcyBFSJOf8htJzi4tghXnImRvdcoBFkXC//J5Ba8EBS4eN6FmN9SvQBi3EUyksRSQ/hpShXUB3rMzAe071+XrTBylFEqgGrGcuiPKrSVWhpWBgeZ2AlIh2gZtcpuRFajkJ8rOX4h57liUdP8fCx1ylXQ04dm2FtcpLMdVmrzuY1NM0WSo+mz6PVGYR12SZgi0msdXlj9hAnkzLLFY+SM/JBjx5rOQr60lgiKqTWp5xF6GFIiRWeNmfoOwMi7XBUPMmk8fi5xhQKjzR7b71uhY8P9iLhBIDDmPMgVqyiMGy5FaqZpusFKCf3qUmRixnhGKyy+CLAkAdjeDbjZKtBxUuI5ARNc4gxkdIdm6Bih3jCJVE1Ns1RHCQVgl0NIE8tEGxPHuXDA4VTbuNaQWRqxE6N8UxjtJfP/ESM8MVu5NooIQGAT8QxbeMjSQgcn4qo4MgJzqD5KGeR1uKMzKNaOriOYeCm2MznkutwJNhiqptyzUaY4RgXDw94IBWsVWfp1gSPZxsMhUQ4gkQ6TMWWqhsg1QCZppSyFD/zEUh66jitifN8Vrf4YanM4TjBFSUm3I08MhSBEQ4zHGJSenxprM5qbZ2F4TRSG8Qoeezn9RkYdPmWd4InRQdhNa7VKGnIJmL6sy5WetSl4FXfpZ9mtKiwlsFh9zipWWXRGVDJxrE2IvAO4blrYOBousGmN8dC3KMrJEEQk8VDAp2w5hxmXA5xpSCRPooYx51GpNNk8eep8VUCJ6NCmbY7YDo4x8RkhDvdQboJk1Efx5gDVgSBzgMfhKD2RAeR+IS1EjZVSCcFoRFowkEJlXo0cVHeGJPeEXTSQMxdpDq2Q3/1Ceozs3jlFOmmOAbGaaEfWuFJX1M+mnGt92GerR1lGDjI9S5lZ5zp8uO4eh1shKSEYzOsgFLSJzObSF3C6h7a81DZgIVDj/CpxXUy6aGEgxsHzHQVD3YXsTOHKEkXqTRaHSYrjWOtxR90qDgZ6+PzWCuwwhJ6ZSrZIY4NH2PFblBOfUIHHG0JkpS+nGLCDYk9l4vTT+C6imEWYuyARrOEnsiISi66PEY6DX4zIkkzrBPglnvM1iIm4yrrpS0SNJGxCG1pDV1SyLWYkUEwSPMw/WRo+Ir5VTacKeZtyBvyJB2qjJczJKPcUDPk+GaIabSoC4kxFsfJCHFoTfwyruOx4Sf88ZFzmL6kahqYWLBSOsQZUeVnhIefGNxBwhf600yZGsqpYG0LgaU5HiKVYK5rmAKMFHSCCmv+p1iqPMjjUo0mgIYMQckMmfZiuolAOvkEUwqDYwS6ktJ5VPKZpMPWlkbZlE5pnPmxLYYyoColl2cmaZbKbFXLPNhYY8eMYTE4JiKTJbSxKEeQuA7WwKI+QShK+HYRbR1QEWlYJ5a1A7EOkjzhxFjwYpeShiNpi+yH32Lr0ad4nZOMyybKUVhp8WTKWFzFDxyEeevKG+8mhcYHYPeKJwlbwTiMXhCFMCCFuyv08m3yfwduwHYlGOWlkctOo3lMrHBUV1A2wNXjpOxbwdy6JOlJ+jafcygpiQO5mxv2KXWZCTtECoEWJQLtYmaPMJ/VGAYTvH7o02gCPKFB2nxFBpkLzdCvkLoBP++t818H5/HTDkdFnU87z7IoNQkeLcao4lORJaynkcE4WiaEXkZqfV52KvmLZw9RkQ7nvC/QVYeJGWNrbJahc4gJqYldn4WpKVbHp9HCwVWSCWI+41zEK0F5bcig0aLpV5k3KcdNzM+r7VEVkoyyDPGqi7SDCtZCSYwTeyEaQycZxxofPzmMtPCYVDxl6nxUbBDKhFTsaZwWgWGSzbkQg6DjebR9cII+/637PT7kbbI67xCaxxDaxUlnEckEzmCSPIlDENoSTjJJJVoj6awywMH1M6qpz0ys8EWWWwSEIRiFj3f6jxFXU8Kpj1HyEjLhUHPW+JC8zKGJVRwBVkgcv0Se7pHPjodRiWFoWWxM0M8CEAIpNNb3WZs5iRL7gm/3xWq0sgrU+rhewvdOPMa2M4ac3mSt/GHMUyWGEy3KtUWUAwZJKRX4QZ/tVojb3gLr4JkhZTnDjHwIS4my2numrYGEDTaCV/FTtRsdCaClD5UuNdnio84ZqibETw1nkXxXd2lpj3VxgvHmZ3DnPocaJbYfaZYY7xylFT1NO/w0xjvO4fBxjKxyRD2B1CUcszcETfT6zLa2SHHQfm6SHM8k2qQ4WZf5dMi8P8NwosrwpMf8lITUMGbyknyi2iRzE1zr0xOCS6LEpcznZKx50G4gEJSM4EgS4CnNlKoy11E41uJJQ+JIlNSkUtIrHyGSAdZIjI1ZThKulGfZqcyCsAhhiESNwB2nXj2OslXcWBAdrjE2fBhtfRLHReqYhnIIHc2RuSbT1Txv86SYAOQ+j4hg3ZN78TmO5NPVc5hjE3zvwcMMRUai8mpMRliaYx1qXsZ0EPLG9BO0JycRwNbxw4RujZ3ah5lJNVkgEY7BT8d4ZO2LPLjzWRLXQY5M/4Y8MlQajaMNWmcoR5A5DpFjydxt2kemuHr0JKvVSZwkJGuexfQ36PWWMa7m+rRbYpEWjA3wE8GsrONMaJrjAY2BwokSrLEEqoyTzVFz8xJmfpgy1zhYLP7dphB85Dl0mRKEymNIsBsiLLAEN1lQU2BROKPAF0gdSeKWKOHj4pDhsS1GEaF4SCsPzPcf4CpPizw5em18nEFQojcFYPmkucx/pfOSShbwlc/J4RRjTplobIaN2UO8OvYQzckq0rFYkWtNmeOjhUfqlEdnEfjEPOEuIIDPuy9hAGkFcjR4B6JMVxq8uIMyManI1+sDMHacuvMUqTPORvpZBqVJjHSwCEJvknZ1ZtQfi5IeJVXlQYYoHOZLPeryELWVFuMmoyoMIxUHa8FFoaTDhpwgdnxS69B0Ir4ZdHghqZBpDyssjpF4nkSIPP8o9mqsVquARYjr9Ttn8PQMybQl9QWfk1/hvxHf4EulFwmCAZ+qnkHVtlFC4FoPB4enlE+mBFJaEhGgrIPRkLoZZb8HmaHrGRaPXEKdXGF5doatI0fwK2MgamTWYehYaoeXMbU+bVxM6hNkPuMmIkgNmRpnaFxWnQQpQI6eKaVcWu0KWsBSNIcQlrFkEkwVLQOUI/gZ+yp/K/k+rtAIBMIK+mM+tjzEnWhjgVNjH+bl6SfJSsdpBEepyU2OOKcIy5Ze+TA2raEGh8j8GCuzUbSWGRVz9lj05rm+iLAAlnpjVE2babuFwZI4moGnqOAx6YRMy5f5lPtN5qnzaOUKsT/Bm7NHkP1VFrTPIDuBts7uc25xKYuAj2SHaEQfZ+iUGYtmcdD4NiWRNWS8TerEaGnJEMiVGD92+d6j81Srh/iEf4Qt9SiJDTgsBQ/OP8TPtAZ8rCfROiFy2wgz4HocKzbGizQtNc8ODpmVKOBX/LP8hnyVE3qVE3aasjsLzmEm0nGCzOKLPOApcxyEgKFrEB60p6dpz80wp7ZYHNe8OvMI62MnkTKfMMnMEHsQkzFXt3z2rMuRtMuFWoXZ8ZhHxTJT3fM4S20ey2IOl4ZYNyEqWVwhccknmcLmb4dkb9LjSc3RYIO/OXyGcTdhZnYhF4oGIm+I43nIqRTHOwkll870NFYkpC4kiSLKXCqBYM52EdZwuPEJrMijbWs6QFiLCzhG4xoPhMVxMyyKtBTw5z/11znz0JMMpkuUSinto4dZPnQSYU1eKzcLMd1NlJdhEKhM0hI1mnKCtlelNVmlFO7kpk8pMJua0PWwQjKuJimZGGWOMZYaKqlhfm0FMzxYAu/dpBB8QNkK2v2ATDvUbYVEGpTIixvnYRY5o9ARBJaeWztwDFf4+YySgKFTYssLSJz8UXbZC9awOEyKNk/Kq0Ae1OLIjKxscUoRFvCsomtLBEmE0w6ZaudRbVpYyiZGCVDKsO7NkAl3ZCJ9661MEbh4gCUTkv7YIXB8rMj9malXZZXH6VNhfmKN1sQWVggMDlKWcEUFiyCwE2RTJwCJiwuihkTg4mAM+GmFyWQaz07nQl44uMJnJpvlcBRTshIHidm3WvsrR6bp+QGRUyGWA94UO6hEsxVKMusyocY40VlABRbf62OlxkiPaa+JMBppUhqVo0y5gs/ZZUwtoHy4TknEeCJjtiuZb0uEFVzpfoLz6RNgHLysDP0MTynycCCzGwYv0ZQJ8f2Uc0ccuvMea8e66Jom9VyqlQkWxGN8JXuKi7PznB57AhcPNUwpy2XG5Q5SOEzHO0gUJ7vbVFNDJp0DwS2QCxvrgPI8prJ5qomkZAUWhw/Ja0yZPg+ZvZJoSrp5lTFrqaqQE/Emba/GpanDrJSPMztxjoq3TX0i4cXoKYZAkpVIgxjhGSwyF0zC5buVeU6PPUZd1UZVTqAZBfhGM5UmKCnpewotDDU8/sZ2Rnh+h5nNqwQ6RdqQFx7+JDsTFepTLuPCcKzzFNYRKAst16HpDsnI6PjbLIxlbNQO45UGjImQkqNoV8dZ+/zHCKs9xtwUz4VeXMZJDclUh/8Tb/KQf4aniWgc+RLdh55ky9GoaI1PNjP+60trzHSaBJnF84ZIN8Faw2V3DKnzFKFUZihhqeJyVBoeC54DN6XpDtkaD+mVPBwxhnXg0+55PuOdpzl2mHYwgx0GiMySSI8vivM8pL6Bbzo8Yhx+1anxcTdiTKWAJrGGuhfjiQp/Y+FbTIqIHg4t6TFuE6rVPtMTAuMd4we1GTq2TVyL84krlmrsIJMJlqc/l/vWpEF7Lk+ZPoezPkd0i+pcg9SRYDVGGqzwEVJjdB4pbq1g+4FJGmNjhLFhmEC14nPJewDphtT0BrPZApkUeFbgWYeKkZwYjnNCf5iaP81Hypf5cPUCcXUMrGBx7jjdoILrB5SEQE5aXF9z/kOf4Orjn2IQ+ERXphArGcmmx5fNTyPCjEeSZUo2JfMtLz/4MK88+DFMxWJdTX3mGA8fafCw+0Nm0h2sK/gZ4ZB+LK9G815RCD4gGOXAGSkIhYceDc8Ouabm7sZLwoxpH6zkMaIRVLiu8g9LVULPZeA5pNKhSwllJUoYDJbeaGHRo3aT/z77cx60a7kfZDT/tkBiPXrpqJKKirFWMEWHXx/+FdYKolQSux7r/gyZ2LuN+/XTLWcGM9I8+4FP7Ln0gxLNckCz7PFRb4mPyqtMVQeU3SFesEiuTYldvyFAyQYkwhIlHsNY7psI5ELdURnoUdg9IAio1ZoMpyvMjlY4kBakyD0C6wgaOi++HDsBcWkKvDFit03fiagoQ0U7VJVD1bO4XoRwcrPIl9QrtPBYGj9KXJ7g8FiG9HymSi7fPXKCiBRHG7zYx8VnqhfTVWMILbG6hI3nqMoOvxB/n8zApvboKYskj1b0TcpOaRIhBK2xKRqmijUC1yq6UjLldYlKQ5bHJ1h3Z+hgEX3BQseS2cEoDcYwl+xQVUM+1OpiheX6VbOwW6HHEZrE83GsZNubIhXurjYuLDij+5kXO997Pn6+9RIf713isXCNtnXZrJVYMbO41S6LcpbX3cf4evZZVOqihMR1pgFLJEtY4dN2qyTaIxMSRxtck+BFGYd7j/Bo63PMey8xJroj/43mQtdhxT2eL/MTWYTTom42kSKlXavxpNZIaylFAVJrmkFMJhL6bg8jNFl1lcdDwdrwKVa8EyQiYDoY8teN5KlyFe36+FIhsEy1V/BaFbRJUSLGHd+kfxi+GdRoRC5BDOXWNR7MAn4pGsemA3acMqmVbAvB0E1QnkIIhZIpsUjxRIR2ExI/pe1v0qQONmJQkTSmjyKc3D3xENukYwHNieMox8UmJTaPPEY2Ps8nzTpVd8hPSYtT2uRJJ2OmnLc5kymZMCjXZ2arzbzaYHZUAqw0Mcbl9OO8ufIhznsf50K5SpoNMVEToWIcMkCz6szzSvlp6uMTWC9lUkr6qsJYViF0Krw69SFePu7QtSV6pjYKmMktOLWox8fCS2RTVZR26AqDtoY1b56MKV4oP0ZnuEU128KnSzvwCEY+/qOmgskMJevxlLPGR8wiDhk9p0rsTpF5NRCC8WGJrH8C4VgyNN1aBSNguzqLTTTlRHEsq/M/Jn/Bz6Sn+YJ+g8RrcMi+zifNBXqux9Rghe0jJ3EDCH2XabHGWLlFSYa4Nbm7XNJ7QSH4AH+shx/ECGloB2P52nOj0X3W1qnZvYrqf1N/d88fKAzSyRBCk2kFTgal/q79XFibJ5lbiBKHVOQB+M1yldRx+LzzKi6aio0xOCByX6MjJBXrEwlQwqUnBIlQPKzXAEGYCYTUOI7G+JKV0mFS3zsg9ASWSJZZkVXWK2NoIXDQIA1W2Os1innaWcIKyzB2UQZiJ38ktBTsVMcJgxrCQjN1EVKPosRAuBHGDWEUjl8eNBBYuqJE26uyPT5P05/hOfcknkgJhpLZUBNJzYrv8kj0Ru7XFAJDm/bM9xmf+hpi6lkOZ+BYQ8k4lKSzN9EY1SPblD4dZ4yaSVGOR+RVEFiWS9M0TImuLjH0XZrjAVZIaiJBSoEwVc6dfAx/IkGKlK4KkBZ6Q4lJEgJnSEnEPNxfYr6l0OksSVKhrBOOZ2v03AY/K15g3J3GIBAGYq9E/eg0V0vTXPPGWZmcZd2fR6gYjKUcVqlSxhH5hGL/ik1upviw2safPcX58gP8WfbX+HT7jX33cN/rOboEUnqjTwXzaROjPer+FEOnwqZ3GO1ALH16ssrADQDIrKFPZ1QDFoxwSYIqTmaQKqNS6fOAaHJk0ObzdpUJZ5svui+OTqvpKLha+0UQllgMSGXMpFrl8cEPmLIxfeORhkfQ4TSVtI7jpHijvDKpLUfDQ3ScIS2h6YkxBrJGWXYRHYMV47SdgFi4CGOwViPkLCJfZ4NMQGYVPx/8gEP2Ikf18xwxP6QmWpSyPr4q8Xxc5iWmsfWYo2qJedFGokfPuMUXISrzieLjXE5LhLh0ZUDPMcQSqmhc8nSBE3Ydi0QIwfrDR7h05CH+5dH/gd70OqsywzMDpDUgFWUxJCz1MRgUkhiPNyZqXJvdIRmfIStP8sOjD3KaJ3h14RPINQ+pNNamOKqPtF0erz7HY8EpXpcVQmvZduYJrWG7MklLaJpGsuYeY5XDtL28lGFfTXGoHDJjLWFc4ksri3xuuMyvhc/ziN7Ad44jdYlMSoQX0WeMgfJohBWquk/iXX+u8gjRzAg6JZ96aRZpFZO2TVaeoO3NobNHRnHnMIwc2o1xVsO8SEYmFFsnj4APrtT8XPRaPn4pzaNmjWNOhb/W7zCm+sx7HaQyZJmDRNDzPXqUeHSwzolkm6xiiAcHl6F6NykEHyClYkIMQORRSY/aK7vf3aww7fWBWEg9En4KhKFT9mh5YzhungxrgcSTZCXBXlyfzZNlnVxw7rZh9D/XNQhhsNLFyBmknCK2KbrcApmvJp5qgRgJVyktUkjG7Z59fOhJ+p6kOT7FwA/oyzy4xnNjpJMh3dFinEDmeFRHS/wAbI2PkTguoRegcYgrh4mcEsbNEFIjR0slhbHDMPLoJRCJCaqiyrjskgoHIQxP1XZ4wO5wTKxRi6pYBNIItFSEN6y96qCYEdso+7NMlz5DNzqM6QGu3fWN5dd9ZDAWlkhJEM7Ih+DiZ4Y0tnRkiY47y3CqQlSqMahO4gmLkBZjc0GQKIdrwVxelcLCx9Vl/nr3O3xo8honZ1aJelU2j/00885P4cujPJ5s8KRd4BivUaPPpzsLSJvP9hEw9GuIikvi54WEQxmw5dXY9qoI6eLkcUhcLzLwi8nLYC0fUYsYIzjuX8WJh7TaFfZzMBJ0lBs2+tRYcK1mTjf5VfUCAPWohrgecSwspw49Adql4Xi0IkM2VcdUuiSOIpuZYWdimvrEFBulY3yUFRb0FOdre9YNIyB2XFKTop2A2MzQcB/iaDjDb7Q2+Jv+Rf4v6usMZMJ0dpZD5gzNkuClEw9Qr5ZRjmSm7lMblGg7+dJDa706Z6IMp9PmkeQ5tE4ZVlMma8s8rNaY6m6QyDGEza9ZKuAxVtHS47BbByfCs11wE0wppmnKJDEsDixlO8FkGvKxZIPM8en5ZULP46IXcNGpUpYOx7kGQqG9mIFnWa4e5gGnT8lmWGv4XPImh0n4fDnkl+ULPLV1gbApaS+c5AudbTA1YllGC0mv3GGxotj2I06IJT7iLJGdaDF20tJ9+KNc+sTfZGdqkp2JQxjrolUuuCLrojWUg7zakCtT2oElrZVxTYWumKPhBAjyVdBFoknxENYQoJmVCYczw2xY4outK2yHLpl2QEg+ly1StmXKskZg4fSTH6E5OUNqXELjo2IHaS2JMAzcmIVxiULQrXpYIWiVp1GuR1p2mZI7ZFVFa2wMrOYTvdN8Xr1JmAoSaUldTcmJWK8cJnbzpbYqVuALF0+UWX7wl5lnln7s0y1Ns1B+FDPwyNIyW8LjhflpBlbyjdljbM1O8vIbz7x1sH2XKAQfIJTlV5MXkSOD1ND3cyHjpOwfovNEc3tg7a/d766LNbFnbjRYhKMwjszf4n24fghBNCo1xqjENLuC9GO1V+hXj/DZsbP8XOk5GA9xvH02cLt3HhA4QuK4GiENQ88h9FzC0nX7f75DyR28pd2RFzBp80K2Qiqko0g8D7NPNalXx3ejTgGkk6HN3vfbfoXnZ55kqTZHL6ih8DHWooBDYoeSnkfaCoGYRMi8jiLCIh2V919Ygszyc+YCPxOdYs1UGIQOVCSOzc1oe8ZXS1TOo+ocR6O1g6Pyyi5SJcRubsIZGsvAZqSlGjMCqqLE4vhfJxlCqmSecDzSiMYYIKSh4c+xNTkL0lAJDBLLnH2AB7MWE9Ut/KCLMxIs/7fOV/l4/xIvj3+ctjuOdDPCwGMQC+LUwQhoepMokQd57/fxHdd1HKuJHZ+IgKapsro9mWv8QnC9lJ1v91YvsBYS7WCMpNMv0R2UsJnhi/FLBKN1dIwRHAm2cIRDFAdcbB3mmvMY1cEGT5kLaAHD8QGbx2PaswbXN2hXoqVP362hrSDE0vRdIs9ldXKK7fExOqUKZWfA4vBR/sbaOWZ3hoxVLe2JE8iywxwdXLuIy2XOHJrFSMnJykWO2FUENTJqGOtiNbyWjHM+KVOzr9B2h5z0XuWX9Pd50lzjl+Up5HSGIZ8MucaCcigrB2E10hp6Xpl2UOY7Rx6gFVRAAzbFWI02ktiZJ6uUidw8KTt1XGLhkJYthydSmG1ytHSOSTNOk48Rusf4vvNRrIDUz90Cv5y8wJPlNea15ReGZ/ml7qscMgN+xr0KTsLH7EuM0+SIfoifspcZd86hnR3KwYBPOxnz2SzT+hxjziYVqdHC0KxNMDBeXihbC1Lj02WSVLoYXDbHyvRKJfqBw6Z/DCMFLhoPzc82XsOMhuqKiHGMZdg/ggihknaxCOJM4EkHRzo8Gr9BuwctTmCUj3ECOoHPaq1MVwgcYwilwlh4fX6ageMiR2fwvBIN5xCTuscXkld5dPxN3NDn4XCJk3abJ+wSjjUoYThSfZgz+vP8wbH/FlM5SkW6mJHbyCJoBgGJzFexScaq9MemeNLW8+BAY/F0yL/3jvFit8orwUd489kf7NUefZcpBB/gpFk+GxcWx+bRXbkJ0yJk7lsSwiC9BOFmN/XxXed6ncQbP5UYwsghy0aGKgFdd2yUtwXdfoko2UurPMIOf0O/jGM1oefxKXMJhCFVu4bW0c+R9ikMUlikoxFCI6XiEyZfKDVTuYb42ezCgVZlzt75hLRIqXH8UQV3YUHst7nv9SmMxYFPHWv4CGdJUokRgsjzSGXuk5qyY9RsiTF5hBrBrv/UummuQboaR48R2CmslCAEZTfllaMfzSvYiJTPRvnSQxKJdBSp9BBI4qiMNhKUzyNpB7FPUAgn11AdL+VX3L/ii+4pRGr4m+Gzu2ZsIyWp440Ece6hHMgqgxMZqQgZqohm6ShhRVLzFI1qBSM8pJAoJXgo2uBv1Z+lG8zgjLd5zC6ijCBK8oAisKyUjowKiB98Zn4j+SuOmBbXxIN5MeUDb2K+7dF4Z/eT6WGHje0qDywv7X4Wa1A3+kUc+OXkRQLyWpdbmcNn05f4lD7PL6pTSE8zb1tMmAFTXp//ka/x38ffOHCIi0GFrhvwJfMyTmlIMq74lcozfNSsEodltHZou2N5kFelimSIsRkJGdN2h5PZKhUdMja+yF8ddRiWVnHiHmYoEEYQuR59z0Mbhx4O12vwHPVWyIRLySaIUenAk52YwCZoAbHrko3q0yIsLx45DnpIJhSpUHx1fo6HZ7d4JNjYvf4WS+qC4xgm///s/Vesbdl53wv+vjHGTCvvHE5OlROrWCxmUqQkyhIl21ey3d1Wt6HuNhru9pPeBDRs+MkPBvxiGDBgwGjf2311dWVfWJatq0RJpMRMirly1clp55VnGmP0w5xr7b3POcUqSgy+F/UVD/fea80w8pf/XzImKxyDoCTmNl1GDFpddpMVUp2gcARS0PZj7rQihgKYjI6aMo3aDKIYu/wasdnjUfkGnpwFX7Aqu5hoRJpoVLKAshpKzRPpt1i1fSLJ2O6u8nT+Jh+bfo7rXeGPL65xI25jnKNPiMIjzjI1hkG8gELwXsB7Hp2+hs4KkKq016urC3zx4iqrZ64wjsLa++uZpAZnHU21TWqrpPfGaEzPlxBkKDXlDxbOMR1MuJS+xqXpm5wZXeHlhR5QzmsXJiQkgz7eOzIjnLQll9wWkdQCJo4Sz+3AYJwilCZF573zdszAwVMRRoEGJRgcm+GEj7lvznWJorBccw1smTE4iBmOLSL3np0/Gno3gR1oUmMEisepkiqsgPlnwNzEN8tXeTD5+Q+poxhm7Ekph5SCdRYT5Nj88KR7K+ljyffxoiiUoevGGOUoPVUov9xz4B1ZL0pXDOB5+yK6Bvv1TnHCbR+7ZRpEh22uf14sr8/7+xBv8ln/XnSU4YojjNbLEeZf/TzvqvtEe0oMvjQESoFMcNEQP25iieuyOrO0e/AKUt3iBb3NUBvKoip2611CFgTki/tku3reLzmieSKHpj+N8N7s2/f1x0tJYQJadsLfnX4G5x2qLh/l8VUIO4dm58Eo4XPJc7jdEC9CWQqRGzFODR7POG5UyrutAk4E4f3jVxjYDuaIXudq8WdqA160J3mIN46NfegLQsqKcYsncvnhoX4feZZdnw8V3+acPaxbZooCMy8Gezgu626Xv5/+Ib8dfJwoLKrAIKDJlI8U35pfd1mdQNRRzJ/a+lCP8Rl/i/PlAmfcbbT3HAStOjpHUOIJ44z+qME6b+CdZyABz4++xNe7FxkPS26YBj39bVbKbbR2fF3OUyaWu2GHHd1m1M8q0Pfad5z7LpOlBp29RjW2XvFMNOZG7Lije1ir6zYKm9OX+RzvoXAFoVIkPkOp19lwe5THeuPJgzquulDgS1CCtG/zPrvFeXr8V/8CuQ7RJiNRI4QOu1HAtCxQyhHLBPJqriO7x06jzcq0T2s6pDQRBQUhkOqYQkGORTSMMvi54Wf5UKZ5nROc8PskjHl1SXNt6vlg9AW+FzeZuIC/4T9HQooTyLWgvCYuKz9laBy/cOdPuRp8jP+ysYJvTvnF/ldYsAkHyDEL1LiEg7FBhxN2G018UQEmKDzOebaHjg/kn6OVDVFSWSf+c+dDnJjuVmARuiRUGS+U38OYAOs9T+7/BZkCpAClMFLy/ORb7K83+IXBn6BVwW+f+Bv8X0Zfx89yEwXa5YQ7URuygq7KeN59GVdDKwownWT8qv1dQnKu7y5xu0uFFvNjYH7vMj6g5SeMSKgiGqtj9PvRvaHp91KF0WfnB85sGpXJcXiGo4DDlPkHM1Gh0sK8B1Ufyo+WVyqYMP0gU+vxnzBjgLVn7NgBVzEwrUucV+AUSlVt/XD+bZw+fMqGvsOOatdM5gHt1CUzOC+lykqLU1TPlRJnPbkEjIxnoCyqOHz/rBeBLsniJsZZyiKgoca0u/vcXOwQDCMemY/rvSkBdYukYu7r7iZT9LERrbTKnFxplNfze6pRqSSU2TzleWXqWrd77OpFlPdscIMeVYSeeBCdI+LxLiDLAgLjSLMQ4xWVwbp6/jQzlKWmdEIjnPJ9ycPfT/+IO3rh+152zt7m6Cwk91S5vpd+Jf8ztLi5mey+57lb930mYvFeV+OiLB8tvgFUGJCz/2ZrdjBO8Di2VMKOdyiEUe4ZDKs2FqUmVJWVxDrNIq/yHrnBF8LHKW1BGsK0tq4A3GCVC/EueSPnsm0RekcShhwoU60/sZUvAWFzfIUnRfNw+Rr6SFTz0WhkobbYVFLo3KJSe0nxaJbdAf9n/weIqiq2T9MIlEMp5n70iHxe/aScjNFJzrhpOFdeJlUxpWjQFT6sLQyThq6sJd4xGWs08LDcAql8dqbf54RMQKekAA42pC7d5Kr1OzUhgR9Thp5WYHjMXuFs/4B/p3+ZZZnQc7tY1Kwc3zF6pLzGRXuD3zOfYMJShUk6CyUWR0NGWG+xrgq2+tuTPwU8XldAGkvBTRRFVY/Sh2xm13lDTiHKkyvDC+V32JjcJAw8E6mg1NzBHgS+QrUSj/eOTw4+wzRTGAOX5AZe+7rgb5XP+7R8b86BLvrrbBMznU5pNBr3d+qHTP9NML5//a//Nf/iX/wL7ty5w9NPP82/+lf/ive9730/tvfLPQfDLEDgrUj5tw+7nR2m97/rnZPRJe6epjzIzKp0zj22srelWYCLwlIDNR5+d0Sr+rT9HN8pznPGvnWFZKULvFfHGJNIBcJdiGFLN7GxkNgMrQrUUSbsobQwHEVYJ4RBSTfso7TjSrjC/z39vbfti3WQ64zcapQp4QjowEzqV8pWdUxF1YJJiXa6qmZ+2GgE+Jn8a28pdc40TieWNDektcKlTOV/nc1Pls8OWfjZ/CsPfhYCouZS7oY7eNu+/iAkMkuFeCt6gABVB2qJOr7GMwnvu7Z6R2W6nPmElc55qny9erpApxxWa0E7zrgbiLJ8KP82JUIZaioskllrPHrqSaI+Y4ShjYGoFsr83JIB4GzA4/IyXpmKuQEzRJUQ8PZwD97vemB+PXVKgFKHGLapt4g97H/Dp3jjwTl6kiE6Z1JqisiDK9CqpMQcMtr52Fi8cXirwWusCxjnjo+rL1VAEVLZK5TOD++p94Z3GheVpDom1BmJcqRFSpshf2v8u0yVJwxyKimz1oSlYtaCJ/SOj6ov85/0J1A1DqafVSepg+SoXSOH7a36bOu5TEsBCoSAi1yllBIRwyWuUVoIwhRVu0uW1C46SJG8WieCJbVVH70Iylt8HecgdVuOUuEMreY6hR0DP3rG9xP38f3Wb/0Wv/7rv84//af/lL/8y7/k6aef5lOf+hRbW1tvf/MPifY4noyuo0MJvdq0xxlD1/9VEQZmmVjvhP3NTKwPZqBHSeR+jQ5msGt/fXqyfPMdtOH+BG2AiYqxtlpmUx0xMq354SBU+InWqnmwTF4YJNfYIjhu1nwbyov7zdPAESZYHUrK5JX/74imd7TNldnz7cftPlPzMV3j7e6VY+/4wUw7P3rn/71MD6q5e9D7BSCshaggAzzxXBP1NP1hQNaD1uhxOv5spYu3XP+VD96h6mjjWYT1/F1H7nugpUL5ai2YQ1PwLH+1asm9/TyMpB6NI9KZP14dN6ze956aYSuTIbP+zPfrzD9/z7tqK8VUV163wThiUoQI8Hft7yF4bO1LFl2iggwV5LUwe/isRd/n0+7P+DR/Mh+FJ+XVuh/HXQJHqeGreZz57JTJa63cV+Ou6yC4/FBv+in71XtiAqjnp2rTvQBYD9rbZ+06N68fPHAcf9j0E2d8//Jf/kv+4T/8h/zar/0ajz32GP/m3/wbGo0G/+7f/bsfWxtG+nj138E4Ovb3USkO4JHy6l/zjZ4f5KD83z79YP3cmna4s7WAfhuT8zsh5344zB9+UAb1fZ4z/+1/P/NfMb2fBP1Vx/CQ6cwY8kwQ+1GR/wEEOTjes0qw80diDe694sG06vZZlt35tUuu/zZvgufvCYJ7p9QfxW9/0fehFxvC5csv/rWe8U7pJ2rqzPOcr3/96/zGb/zG/DOlFD/90z/NF7/4xQfek2UZWXa4yQaDyv/inPsrZ/7rB0i4FVW+gXsXxkId/v8u/WhoxR0Q+fwtzWs/CGU/5nInPyz68cS2vUvv0o+L3p5JG9nDD+7Oz3HnHN77d3yu/yDn/0/0VNjZ2cFay9ra2rHP19bWePnllx94zz//5/+cf/bP/tl9n29vb5P+FbHeuvLWcZr/e5LKH0Teyw9kUvxx0f8x/SO+Y87/pJvxLr1L91FfWnT9/Tmx79Jfj1pTz9XxrbmbyzlHv9+vqkeotzdODofvXCH535w4/Bu/8Rv8+q//+vzvwWDAqVOnWFlZodPp/JWeGTvL9Cdu9D0k78x95tUf6fvuCUx5pxQGltKqd2xO9Na8ZdDP/RfLO/It/iioqKCnfyLv/lHTVGIS//YCoivDKm0lyO7PSn2AsPSGPskFe+MdPDcAZB5cNaPPB0/xoeLbR64La//6W8/D74cv8HP5l9/2nT9cEv48fJpPZ58HfsA1/Xbk1X1+srdry49CMHc2PBZw8+Oits15fukCq6urVTucQ0RYWVl5R4wvjt+5qfUnetwvLy+jtebu3eO1mO7evcv6+voD74miiE6nc+wfVCbSv+q/cBxUIdz/jZB3f71pcbYqvxMFbxdM8Ncjo49vUu8M3299vl2/IhXgrMF7hbPhfZFf348euP3f9v7q+8BVB5ezAd5pXjZn7rvmB6F7AyMeRF8PHnnba97Zu34w2pc2L5pzb/m9swGuiPiivIc/UM/yJzxbeaOtqVBAygebnzNCvm4env/9VgFc4mU+L4E5XD+FHMrgzgZ4X0U2HiVV6GptlFUbW+V0/h5XRjh7f9sSHdAwkMR1hKdXVT+swQMvmtO4Oun6Aa3FFSGuCKsoS2soC8OO6gLQLUdV3lpN3lVlu5wNsWWELSOcDQhdyXI+wJUhvgzxzty3tr0NsDY49u55v12I9+bYZ95pbBnO16zxx/f6F4InH9Cf2Zg+eG6801UbvfBn8gLOmiP3vD3NhKX533Xb3o4iV+BsQEtSht1zx85mEfmBzvJ3Sj9RxheGIc899xyf+cwhRptzjs985jN84AMf+LG1I3WT+sD9Kxxy7u2V5rcLY3E2wM02ShnWeS73tyV271AKc0L0Nqlj74S8n8U5PuA7wB3JZ/ReaIXQaR5qE+V9wSn3P2s2NoGxBLpCZ3E2mHtXZ+TuGed7x/NBUEfe6vpawZYRzfAww+vo01t2QpgKpnCUVgjT/G2hk9pJQbtxPKDDz9rxDrjRSJK3v+ivRN9vDQulaL4SPPbWl9TCyStyhiuywZ7tURYG7zSvJw/xB9FP0W2ndFopYXQ4/1vlOt8JLh4+Zzb2XuiUh1HQxlURfs4GGDML3TeUhCikPngVYWCJg8P5et2copGVxKmnUZQMszXatqQvbVKJmBITKMEV0XxNjVsdjFToJxDUjCcALzgn/Gf/Ed70K/MEcHePyGJtgLMpuhhSWoV1Vfvxhq8Ej6K9o1EcrvejjMOqgFAcPZvTtlP+wHyQ/6B+sSrb5TStpKTTSudtVUrTVy2cC3DOkOQCzqC8IQk9C7HQaR3uf10jOAVKEKdJXMpieRi4sqs6fMc/co/wJ5UAUzPye6mqxam4Kpu8yGm06OpMcqYaC2eg/mnL8P5zzQvX1Tp/GLyfsTS4xib/o/zN+95zbLyKiGm2iDjFSRnQ+b7pNz88+okb+H7913+df/tv/y3//t//e1566SX+0T/6R4zHY37t137tx9aGktnirRbJSBrgZV6UdUZ9ad53r3eCOyKpHZOI/Qxh8vA/54/nFXmvqn/1+2ffzZ755fBx/jR6FucUKjP15gqO3T+jTitDK4itJS4zyiLA2QBbBvPnH2v7vA+KfdUmtgXOGcaSVG2ywVzqu5ccikW7i/IObw3eBlX6hEAzyfHAt4JL991ny+ObzuMp0FinUPUm9d6TFPmx5ranBTrXNOIjeV+ukoLFV3J/ZX2TuaarnELKgCvudH1DJYm7YjZH1VEneKI8JcrGeBFeNBfqAr/VCEVheaTNgnOAc4Sq+i4OS5rxO0OWd756auDLQ0ZZP/ePw/e+o2e8FR0KC9X/X9Ebx75XHqw3bPSHxGWBtwGXOXn8GfWYl7MMyCNzcKX5ELrbYTteISHnpZWL/OfWp/hPfIo35OzhM8oAsQbjQ7qjki/zBL5tCANLW1uaWYpWnjJt1ger5oTu8fTo4DD5XJdEpvrrO+Y8nw+eQeGJrCUqHTZvsTpt8h0e5bf1z/Pbwd+gaMSAx5UGpR3B7jLtIqc92WdKa94ZEY8XT+kCOvmEhbJP6Ip6DA+PclsYvjDaJA6GtPQAU5dfUmmbl/0lirxZAcozE+CO7GtReNPmYj6g1x5ysfsnjFXA/2I+CSbGlAZBMZYWceo4WVaIUN5pcBofdmmFQiOAYL9De9zk5eYjRMZjC0VSZCwXU04UY87ZKZKG5FnMi+YsfxI9x5ZbxbqgMltKpWm/as7MNWRvNc4GlDYhFI23BpxGvHBb9VhsD/ha99EjKT4e5wxbfhVlTWVkLQOsCyot2gVYHL9fPscwWuc/8ot8Vn0Y6w/PQ20cvxN9lN+NPsL/HH+Sb/uH+bJ5ki/7DzBonOZ64zSb548ITz9C+on7+P7e3/t7bG9v80/+yT/hzp07PPPMM/z+7//+fQEvP0pKJUAfkfD3VYukmJkOfFVKRhza3CvN18vCCc4Hs6txNkCJrSQkXczzyqw1eFcBSovJCQPLOI1rCLTDQ78Kmxdus8qL+iyFFR4qr3PR79yn+VT3KHqdCSIQq4A1xhzYEmvDqgCB91AaBF3Bnen6WPOe/yH+edpZCT7gV9P/go80mW/QcA4vJXhT9UcfP9i/aS5xSV2u3j9jCr6KwppJ8gNpcNQP4QXaWU4aCU4dDuVVvcZD5R0CUZS2wIvwhjtF041YVPs4a3A+RQPGHNcyqX0sVcIytBsZWjvSXCHeYdID0vDSXMQLtacoFXFYYl1JGOc0+wdQJuzoDh7hhunRijLSLKBphN+Vv8lETfh5/gyAz+mnSDsRv5R+iThMuZuss5Fuw/RwbgJfHjPfHZ8vj/FFpYlI9fc3g4vc0Gv8VvxJHi8v88Qx/2Y1hlOJ5mgt7bhgmIaAnzNPma3HGqnkQQhDpSgmE0OgFZNY4fURU13NGByOM1tbvLGxzJAQbNWCi7t73Or1+GLycXzjM7zpHiE0CQfsstkcMRw5OllKX1da17n0gD3XYCHr8rnFVdpjy98dfo3S7nHbLGKtAQyNouD5a3eZ+gHN7iLWCbkO+WL8Uc7ceY3vdS+ydKD4av5h3h98vkbJgYt5wnYeontNYq3Yzh9i3X+TAuFWtsrD04iHRrvctbcZmjWGohAPUeAJpKQsFenBIjQ9iU1Jo5DQlPxW8LMVEMHI83D5dTSWxfwO5E36jWU2esLVQUIp8pYYTnfjS4zsGil3eXG6xO50zEbXkRdtvslzPOxe5FVzjqxj+Aej/4IpDWZ1QLMQIoG94iJfaDxCoSw/u/0Sr0QNvqE3eIibNOMhJ4sb+DLC2xalPYMz26TeMpGYa3qd9bgkLA2JOAIV8G/k7+C95qT8ZyKmzATGKAgIteXfuU9jJGXFbLN+Z8A4GfFSZ4ln9qu5D40nz+Av9Hv5OfdZEj/Fi+Lfq1/iTCfjE3t/wG29TJYkNGjwxO4OX17ogWj+g/4ZtElZOFlycKuHeMhtzJeDVTSehxjzhc5H6aQTfm158S1G9IdLP3GND+Af/+N/zNWrV8myjC9/+cu88MILP9b3i4J2noEX/mP88XsOrMrs6J3GHhkuZ4NKSpqJxL6CD3J4vFcEuUHdozF6JxhbEpWVv6ERF/zH4GePXfO/6vfxhcWP8GX1JL/rP8o0DbF5xDSNjkuUc0Z5CHrtvEMEoiNy6+xQ9L7iNHPt0nuu6jUKgR1ZrDS2uobakITSFxVyzFug1OSxqcfhcKxuBBfJ0whbVhLkQCJCUrrlASKWuCzR3rNeTOdtsEBZCNoFdXUMz//oPslf8gSlq/wrzsPIG0w+OTKYgneCOIMrAnZdlxjF0C3xujyMAgoKnLM0hts47yh8Thx42rEjijIaccbUBKyYPWKKOePwhDTUgHYjZS9scDNY5IpemWvtpTMEgeMzC8/xh4sv8LXOY3x28b38z71P0LIjGnZCpxyjvON/iH+Om2rl2Njd0su8UWtjcZiznfT4Rq0dTyWmsWCP+E9l/vNo2vHLC49WaThecE7jcg1lAOVhDqq6z1zr2ZcOTiu+6h8iTD3fLB7CYsArvA3pRQrjS4oQCsmZ6ojf1y/wBfdRHu6P+LkbV3n68m3s6xfIxhmp3WXN3uJXX7nMwrBgmHfpZhntPKPhCpaCksjFvH55ics7IfnwLiF5JUwGmlDD2Txna3qb0luaAk3jMN4x1G3aw4us3FBc2v4WE7WG8QHi4ZFCoV3JUBI6Wcm5IGUjHaNdtfaVCGG4Sj9scaPbYFJ4rstmrcmDaOGc26FVCF8YvIfXs5P84fRpfjP6aYYSM5QGqSuxWYHYLjkLiPLE2hKFQ1Y6OYJnkUOfQlijvWgFr8WPs9/fwdoL/IX5WV4zTxIpzUroKSTiK/Fz3Aw2QClKHP18H8k8WkI0mtzHlKaJELEXLTJyIRHgRDPyCftlhwNpsm0MN02LJX2HjttlvTthuTVlqeGht0pTgZeI0sdsjhxfan2QqWnwGf0CHiGsa/MFScCu6fHyxlkulLf45MHv8pj7Ls04pxFYvpuc4X/SP89AWoAnDj0pGWacMg07/PfB3+TPisexJWibEboMJ1CKZ88uM9UrZINTuGkPP+lS2IhSDLnA2McIwit6RJT89XIB3yn9N8H4ftJkGhk9NcU5Td93ScvmAz0lM6c21AzkqMlO4KhtTo6xqcPfAluS1IyvVJpMVbWQFYJBYdHYssF4sERclojXNGyBpkQfYUJx5vFe452q7PZeKIoQkHsqIM20ydmhrphBRP958OT8IHVSctpPiYsCKT1/wZP13f5YTcJZBOdAEibDNmIDtBeMF16OHsM7hUwraXJIg8RknI5ucmr0InGWIShiO64gxARulQ1eH55DR5qRs8R5Snc0RPm6YoFU5tPPlU9V9fNmZBXeWax3bNPiD3of5HeX/j6/0/00n42fQUKLThxtNyFVeYUhCJSSgpTgLQpHrgbcDTq8kZ+i7VOuqk0C8bTckFPZTXrTPgeNiCAyfNNc4oZa5bbZIDCKcdBlP2hgsfR1yPLiiPPqBnGZIl64qtexotlX7XmzfzP+JH8cPEemAn6z83G+tvIIf5EcD0Qo4uh+HyaePWlT465xMzmBaVULz3pN6DNaUUknEkJdrb2+arKnquCvPdXhu+YCr+pTeIQXOcPvTp8i2R/g81nQihAoaJQFiggZD1if9rkQ9vnFfsFa0WA/XsRrQ25gsf8Sp3de4/nX/4zQW14IRnw9fZ6XJ49xsRyQi2GoGkyDiJQGwZ2E32u9gNIVRuQb0SmSwLPsPDYz7No2Cgi9ENmcJQ9P4fn08DJr09doi/Bl9yGuFM+i3BKhNyR5yslhzsde+RY2vM0bdg1jLX+RP8IfJuv8f5ae5rdXnqefxfyh+SD/3vwSUpuxz21fY8lPuFau8FX3CNu+QS/bweOxWAo75U5vgT9W7+UldZZh0Jxv5YWo4JwasmILTpYDzuYDvpE9TTOzXJs8zKnbW/R2b9LsLrC6MCaK1kn9HqGzZEHMyf0dBKEzLZl4S19PCYsJ3nsaY89OUZIqxe0gxKuYRdsgltnSF4YuqYJQ8uf5XurQk5zeZITOeizohH23yijs8AfdX+Bft3+G5bbhUi5Mul3+Y/wzXNGbKF8FlhSUNJs554PrPBTdotnYodktyIwGlYGeoo1lpBuUaLyACoUgTrnEHg1poSUBX9LMp3T2vscpGWFcScMIp3qGbrJIUDYQgVwr9HTEWBwpirN+BpWmf6AAlb8O/cRNnf8tkFFjuuKJaOLyBqkN8d5jcfTVAou+SpI33vIX4VMVkLN4NNUho5RnWrzVhNVHmAhR4ujajKKsAhusaESkRvmbBUcIz966xRdljc40Bys08zHNGEzuaeUZ2nustwTWkYVVdFqZNim9RUslzXioawceMmU/Q6XwMFBNAp8TuILGUHGyPKCBpoFlwaYM8pBO2Ge7uVybb019yHqs9aQmqpiu9lRV1BUffXOXE3oHJRZZCliIUpIiww4CJl7RtSNS3WXkC6I44/PFE7wcGU6pPf4k/hA/2/8T9tNuZT2uB6TWVzmQiG+XFxguLPCe0fcqjU8c/z/9YcaqRa8x4uP9A/7L4griSgRNbFNCn3N+9BrNxV6lMfmcF80JnpIDTo8vs5cs89rWOumow2V/is913kvoPd2iwpBfyA1IiO3lfHGnqtu2qHIcAbm2dMYFLjS4XCP9iFumC3kFF3e71vS+aS7hqXxuVVK+R5TQaU/ZipYop8e34V7QvScooaJvmIc4abfYVj2eGl1ltewzyENGLiJ0E1bG+/joAl849z7CO3t8l3N8x1ys7rELZCbGi3Be7xD7gismQVnLN9LHeLr5Ito7HB5lhbgMiNImpR7y/r0rED3Nno550UwJeIlGCaVkPPziN6vq5U1P2Yj4pa1tHJ4wgqmvSg5p6zh983UiWxK0+nwu+gBXO2vcVYtkcpLNbI/U3OG18QonTJeePeC1+BxhqoimQsOVTOMuz+O4Ky1OOodWjiv6Cu+5MWbSOUeDKX1V8GV/ka/l57nWWaUfQbv9EO+93GC4+gorjZgiNdxllabb4apMWOy8xOagyQ1/Gi9dnO/jUExtSLCQEu2dYbhX8nuLj/EBFTMKz9K0wlgLXV+C0xSZ5jX3GGeDFb7uP8zZFJKt36aFwtoeASHdZI+GuoObPkpbemzkd+hdv0EvPyANDEMlODclHw/p5xplC5jsk+QZPvl9lov34vwZPtv6KE8N/xgXBhS5IrURu4MO01ZCU2Wc3h7xol5AB467egGvLaNyj7MKPsCYV3xUe7U94i1T6eNLIS0OODm8w+PfvcbAfgJpfJG8vcHl/ph1P6R7Z58Nm7GbxCjncQhZqBi1lwiAWDmK2GCKgrJlGNqv8zN5wYtJjzS+CD6gdB5MhrUOX5Qsjg5YdgfsFJ6+zVg+atH5EdO7Gh+Q5zGlytksBrSyKZmoYxGLMzJYruvK9+ikKqUiAuq+M6rWrsoqybXhKnOI1jODVUV7Qa8CcfUws8HkqoFTEefVFMGTZCVTn7CgLW2VYdwM4ZxjIdhq9pm3eF9UBXFdha9XtfdoI6uFG7mMlXwHU6R8wO5hEBacxzghNBFeRyRRiaoR+z2QxAWNuMQrOChjCl9SlWwVwrJ6T4lmEjQ40RgQDjTTYcye3iSM9ojiW2Cr2mJvnlxnHFpu9C4THAivbb+HP82exaGOlVqJI8tq6wq5e5Obkwv8pv40b8gpvivn6EsDqwVEECUYBTE5Tgy5BOwFDaLEIHqKVRmvjUuuBpWZUbzjwObs7IaIczgSVgYFp3ZKQieETtGyFu0LIusQo7De0Eh2ET/kIfciH9/+InaviRs0eOTydcamU2mpzMzLnlIMXw8eZVf16tEXcjF4qUSUGYKrrtWJQgW8Yk6zL23+KHwvFsWfh08Rrim+Ej7EVtzk0vQ2sdfcKVf4mjtfPSGfcnpUsD16nlc6H+ZElJBKyGv6FFne5eKdkmf2J7TjVwiTyzzMDZbMgDsu4bf8p/A4pjKm50qMt4QKREdc3zmPKaocs1xS3lR3uRKPyOnypUdX6Tcb3Fw0hOIZJAml0VgdEvmACRE7/QGXppd5avoKa3v7bC3k7AcFmekSpGuMgzMYUpayu3y5+yE+2/tpbgerteCjSKTDnZUTTPOIXhESUtW3nNqCztbXMdv79McRfQKcBExUC2c67LU7TI2w33kNM24zWjDE7SZfbLyfz+ePcGuxgSjYdHcQ7+iUKUnapGy3MQsR666D9g1wnqXJDi+pNq3bAX5q+cCNXRpFgFIFw+wkvjjJkgdp3aTs/xldu0/PWB7ZGrN+MOCx/i0ubO8TqICfupaxwgoPDxyLRYSTEidVLm2mFXthBMZz4mDMCdPnUuebnEi/wiNX+9yKNvl66wLaebaKdaxU4NqX0utoI5wYjvjIG1tsjMfEfo89dZdLt7/I376xRVManBpmlVsER6lyMBXOteCI05zvDi7yDbNOZhZ5bvQGr7RO8nt3n+TuwWm6znFmf0IvzVmZjPHlLlnpCKznA4Hl1OQuQsBasINeKgh5keXprTnGqQistQJCLbTdiMfc61ib0pm8zIq7zZrfe9uz+odF7zI+oMgjMjXGyoj2cIc9f5gIf9RcqetKUg7mBVVfDY7nRM19awhRMaRb9AnqiLE3w1N1fqrnRX2ebzYfxXvBYWnkU3Al8YGnLykrMsK5gthpWqpEVDVZIp5brGFlHp9VH5sV8rr1jmYhKJMBFVI7AjrwOKCRTTHa4ZTw+OIbLLoBm9M3ueIu4xE2xBFhaegIP90k1JpBs0cUZUTJlIYd0iz7JMWYq3uL/E/2E3xePcfv6E+RECB1EZx2aXlu9AqZEz7vLnGn7PCSXiAyQ7ZNl7FN2MkXCAvL6u4eI7/DJOgipoExhpY6nroRrXwd7aeEhWPim/yJeYYvRecR8QRhZTo+iHKiIqek4GvxYzgP3+Akl5M1lg52iA+2mfqyMgV7ECyI8NK5NSZxk0gLRhxLrgrKMV6w3tHODMYGdDqW3mKBW9LoTs4L+1/ihL7Ne298j2evvcL5/ohQa6wxgMKjeRAojgDKeZSmLsMK4i0UCSA47/hy9ASfCZ6nkaf8ZvRJXjWniMKSn46/wFPh6+jL78HeeZyvuufZUms4bbnTBqsyJsCWGJ65PWExCIl9zLnI84lywLD1GmK2cME+Z6Y3+cjoS3jnKMTxZ+YZBlp40a/wTH6FT3GHjxR3OJUdoPObWHOT3fwWQx9ws7HM3WSVveWALzzVIw2E01bjzQJx0MbbFntM+DO3yYndN2naCcoKtojxag2dtTi3O+WhQURqYhbaizwR3kFpyFWdkqCq1ActhtXplK+Xl9nzVSkth0LXVgw1/C72zrfwDkQUiMYqgy0VOQlPjzc4ka1wNUmxSnO+r/n0nW9TqhN82zyMBs75GzxibhK4HG+E0igCrUn0FoVkNIsFTg9PszEo+NXvvszHb99muzHlStgjm5ynW5SEwRc5c/HrPOFeZTkaEesIpUJ+tb/De3WfxvQ9/MJLY9bGDhs3EDEEoeYwpruSfwtVuT5UAFZpzI2IMB+xPM74wI1bfHek+E/2MUaFYp8Y5YSiUETactVcINcBY+W5awYUuuB854usSoYSaBJgtaIIDaIBA1ocDZWzm0TcaCxy2/RxQU5cDPiVu5/hE6//JRfHk0q4rE+duChRLuNqnLF86w6bB99lEgZ0XUHR0kzzfYrpNrYcoMVjlKehPIkRTrc8J8dbbETbPKwvcya7xbM3/5L33PzW2x/WPyR6l/EBqe7iTJ9SjwDHdVnjK/oxfk8f5hIKEPhKU5qRE89YNY+AF1e+MyueVBymjqybZwlV9kcAvmifZ3iwgVMpsZ8Q2pJumhHklgMLW25apT548JRkqqAhJQLc9StzBqs9aC+kvslvN3+haqvU7dDMkSDCsCqnJN7TiFN67RExKYtbY3rlAduyW+06ZXjWTPkl/yb96Qm2xmd5I7tIUk7oTLdZzLZYmO7y6P7X0Cag0++zU5xheVzVVbs5XOZmGXFH3WF1OuDPzXMMyoRWOcU5RRhkFMpgReNF8N7TSwv6wYTd5m3iznWauuRhtT8f6VLMXAL56avXeLhfmZ7bSZ9GMqHVTCkaMW35LSZ2C6csL0fn+OPRBV7xHfpJmz8vnuCr/gmCTPGR7/4xm9NrGFvVDjMs0F8+QRhv8ISM+UUfoV1EKQ4zabFya0L3dsGF7VusT/uEymGUxaAYHSQ8/+It3nPjJU6PXqTlb+CVRgSsqGOe3qNraTnfRUcFaI/ytgo5f9DidBpTGNK8WdUDxIGfMGrs44KY2DhWkwlEFp8ovC7AjJmKsLN/hefubnMmyPjEeJsFXfJ6a8AeLW6GiwQOCt+r3us9r6iz/Kfmx/DZIiKelWLEc/0xyeQqg/EfsZ/9V4bjnEHzHINkgUZvQCsb0hlljL3ixOg2K8UuoVh27aO8mC4htzNM7iiCBl6FuKiNF4UozcI0w9PE+yZLoaPdg4/uvgm1AFdHQAHQ1HdZT1/mRvqXiM5BlTiVUUYBVe3TygVwwRxwjjEnJpayzOgMQLsYh2JleJfndkd8aOeAc0rIpWAnWuS/LnyAV5fOogUKY8i1Zj+IaZY5RWLYWrjAte4C37UNxqpDu/ahpgtr5LaLrz1GDf1lHtKvE+mCUpm51UJEIQLtOKJpE6Zlzn7gyTtNWPwm5/WVKoDOK0ofon2HQHsEwTjhtclprhYtMttm3ZZs5hNs2iOfBmyrFg7Nnbs9vrD3fjLaGKoKEL6uYo/1FCqrzywQVbHaN/UGIQ68pRSPI+dxd5uz3YxX00s4JdzKH2KntY5qXOR0+01C71knR1OViioU/OnmFuXCy4SRpX3yJtMFRT+23IpGvNJcYawLbFBZEI6uchcbpp0WioJFdZ3ltcsP2gE/EnqX8QED2niVoVRlkhQ835ZL3FSrx64LsNjqgkMS6krjtlbpK43QAYXUSZ5y7PKKv+DRZDNrO1pKHEKhNK5O4n504jE+YMlPES/kQcGKKjgd7NStBLxFPKgDywxFwlFQuqIKlZ+79YSvyOPzRngRsn6MsxqjqmKyVUCOwolgtaEZDrFZk439AxYHd2hPdxDtkdAiYUHZAxd2WS+GtMgREfbKHltaU+qUW8EGI9Wa9xstmGSEDkek0mLEGply5GHAUCm2whEHyQ0ea32XWJUsm5wwBFGH5U+bztOynqk2jFRERw1RCopGhLc5kh8QMeGJ3a+zXFzhhLvKQE+5c/JhdjaWESec2LpOL90DHO3JEtoH7JoxB7Fl2AhYcQXTuz+FvSNspY+yMNqmuW8J+wucZ5u2SVECUx9hhyFFXnJHneC6XkeOoNM4FBtLAw5dq9WBqbznEXmddjzFGYXTtf/1AXUErYM8rZCFxHu8CEJGHo0RLD+fvMh6NGYtHKNti9AFBGmDKNe4VNG+c52ff+06p/SEOFEkdpXULxBnH+O2eZih7yHiaBRVlOLZgaZVXiHJrhNqsM0EH93FmhvsxCOieI8hMY2FIa5OxxAqJvJqeQI8aKnsIQfxMl4MgfOkQUTWOYnutA7d3niUeAJxKCWkm028TimV5yAWnKp2h9WOhYdeZfPuVVZ272IpQU0p8ggrinFcmVZFPMt6yrLO2ZzmxMMB69t7c9EztnAiFZQL2bcr7JsIS8ZBo8NO0mJkEqwWZPeAcL9Po6wjE5MOWbPFgtIEwCiMmLSa9IPlSu+c+aOlEnR1HUil8aCq/NROmmPKan/hFJ9tRnyue41heIuQEiOWTEK8D4hCRbd2k2xObrAji7yad/l2MeTF6BYLvir3pNwBxjm2ewv8zsY/4E78LEE1JeSqxCpN6IUzE4/zd2jlw1oYq9bWlixU7dQWJ5ZhK2JFxQRBwG6+zpUbzzMcniKIYtaDBf5WuszfGd1kpZzOTh8AShdQhkLWDomiKWHp2WgpRqdLJmK5uuC53Tqe54gTBrrHNF/DdITe0yPiMz8+mLR3GR/QLy7xStThRb2EEsfGwQ5rgz3uSdojuAcWyFiH8RqNEIcFcTireA7gKeIQp/SxZOiQkgTL4gwLT8C5AC+WKUFtnKzE/46+zsNyjdW0CXj2AuF2T7gZv86CGuIF/oP6IF+Ws1xJV+bvtZIy4Dh8U1g6buebGHFQV+UOZn40Y+iZMWk2IihyBq5Jv1wmaB5UZtT65BYP5/2Aky5lN4642nmDfnMLE/QBz0hNUSYkWLC4foC+XkFYHSytohuKcFGxkEWsDnuUopnoBjo7zWCxwemiQHRKrgq8mVLEO0TaExkIpGRgmvNIWcHTnuwRHrxOIx3j63p/u3eW63lKWbUHPJTt8vhwgbODFif8KXIllDZgmifk24ZiqOlmOQ2Vshnd5lqnTR618Qij9CRf2rvIrr7MXRMxIEeymEcPFCWKwgfcLJf5zvQcr+uIHWUYekWWtYikykXsqw5h5Di1dsDptT7U6SLtOGezk1ZMQ3miyNZeK8HmDab9XjWT4rGuIFVl7fcUxHucgjfCb5H6u6jWa3ywfYsT0qDtNikoAGHFahKrWRlkrE2FVjomQljxH+A928/Tsut87dKzfO3Uh5nGA5JiRCe9wn/3xv+3Mld7i1fCqJNAAEpr7KJgN3s0lrfpBncQXxCWlSZRek/mAwJxeAxehUyCFQa2R1h6tjpnYe1R4ma3msc6kk/wx4WzE1/gjaUbbPcqc7OtwESIjCLyjsBH5EVEniUERSVk5rpBiQEVcjYaIt5T+BzlSupaqPUeFJRKSFzEIHofU2XmhXC9CHsmpK8alF7oplk1PyJo5Wk3LCcpOT89wIuQq4BSHe4lpIq29BONs5rcJ3itcPM8ScErPRcUShtxQJMqCtvREsUfmOcQFaGNJ/N7LN25S/fV20zjJQbNDV40EXt6XI2XmZCVlQ9/EiTkvZPk0uQb+Q128n1uFVO8VUiuiO6ep6ssLTMm8Zq4IVgthKbGGI2EclEoIk2gI1LdJmg0OOga2tEuC6EiUkJAgpGo6ouArs/D9tRyd/88D9kt1lyb94+/QRPLE7bB4t4+XXvAZton9EfAJ0TRvTbl0tVrKCUMJz32Dpb5cdG7jA+Iypzd6CnOF1WwgfKOsCxopscLzmpbma5mmJOhzTjXH9IsKodxtcE84hUKg1ZC4QPwYIISnGchd5xiwi/sv0Ezz2jnE8LSMnIG58HWmKFWQRq18PkSaR6Qhp5xDOMgZewKIjUGgb50+JZ6GFUK4PivzQ9zw57kFt25VCbeszhN5+kQVjylsuhoyP7aKSbNAwyQ+4KcHJe2KNMOpQSIgNYGH2jKKKQllp5MWJ+cY5i3OScDpuEtRsEddqVPYRUvrl7hnOxCjQZRRjHJWkQSVGgq62WBDhQgFN1zPFou80L7G2x0XsXrnOEwwdZmLsFjcNwJF9k2LZwIUjrECSaf4KkQScpRSHGlQ+E0KTFJO+BhsSxOFT+1PaCXp4SFJ2+tMPUJhTcwdjS2Sz4afo0Td0dYbyi8R3mhpTsUssLneJp93a4i73wfl+5yaXqVp/Lvoj1cmZ6EMmYSRgyCFqOoyxeCJ/mKeYoDv0YZJBgNxlS2AI/QKQ4IFJxyt9EGut0pojV7WiisUBSHKDHTOGaYVOAIykMrHWLyPt/D85fFHfZffAqVtwmG62yMRrzoH6J5MCbKLI/f3UXymJIYk1pK5ciMolBVfmcqIWkQo4oG/WgXVTjSEwtYA+MEJg2DVQVKPJFrEayf4WD9HKHkuMGQZ278rzx2d5GFaYNJ2gNryEqDAloJhEpYnk7IwohEOaLmKo1mhM/jOhCr2k9B6epAIEH5EU5ZoiJD+wLtMhJ3hwCpcRtDdoyicJZ8sEuj7BD4mEG8SOQUyqZ4X3BVV8JYNYoVZz299RphP2VHlXxHbWEFWvkecT5ktbiOE6EReJYz6JUKrx0Xk5ucX/Q8ygHnKVjIjwB8i6cwexzYfW6Xd/CisF5wRUAZNCiSHikxIByopUMgeAHxwnTSZt8uE4zAoNjhUqU9mylZPOTCyy/zxNY+pQkZtLo4VQuzHpxVDIuEKE3JJGRqSpyG3I25arfw4vG5RkphfatP203xyhLYkm7S58LCNRa7lcvAe41VgvKGU3oVZRpEURPXUCx2dkmaLYyADxW7iyeZRgkChC7n9HSfjZ2c18aLrNiSn8vusHwblHPcvrMG3nMhe4ONfIT2jtAXhNaiSofoKoitAvXIMepdje/HSpF3fGf3PQzNLK4OvPN0BzssTKvJaMWeK+k58ryJdRptK3/bitrixPhg/qwgqjab9p41v01XUtrFBGUsXgTjPNpD4go+eOM1nsrerM2fs4g+NdcOSx+QSkghikDl9eL0c9+Brw2AWmnCwqEKy9iG7NkVBE8YVInC4bHK10KVMSi0dMlLG99lr3m31j5yknCnLpipGPrKdyEC3hjK0OBR9E2Hn/IxP331BJGvzFFFeEC0/Dq32rd5bqJQItwaXYP9dabDNQyOUCoJP7CepaHjTJrxxPQWrckBd/ZXUKrSViZTTzGOWJxkKO9ZSEd4r/nW+hLXWm2GroEHDuIqGrOIYjquYGdpSK4Ulxsn2Tc9mqHDErMcvchSNkR7h5g207hBvwiZlJoyTxl8+RTTrQbWagbaM7EljA9olJrIVTBmhZjKzOjgUn6N8+UdLk0OOJENOZENWN/fozMes7Owyb5f4rpvk2cB6XiNmRVAuRJtHevpDrEuuZRerdafC+i2LA6N8yVQpahoKs3xqIXIuLICSXCKA9vGb0Xo138GVSaIntBYvMKF2wPe8/qY3bVnGcQL3G2cJCwKTLHPuduX2Tb70L9Bc5yycTtlsfT0pl1Wcs9ks8nOmYjXLgS81N3i68s3UV4w1iMS0plMCUzOyl7JvllhJU04NTpDSZPPGs+31ADdaKMNfCJ5lUf727x45kkEj+7E1WHnIqSMGCcK5QoCNSIKB5S6wNiUwGZzJKWkvEbD36DV62HCiEIrPtOL+VrxBjhB12MjSqNFYcWT+Smurm6ifZVaIlTBZtezA150rxMUA8DjxbEwvkXTDvEinMy2SMqclWKXj7Re4rHkBv8wf42L/mUQVZuqK0+/9iWFCXgzvcxNe7tqh/fcfaHFKxceJ9dPYAl4WZ3he+F78Kr2uVWbjcA5bu49TLztGejmPBoYhFa+ixNHpjJcx5MGCqUMk2GbyW4Th+CMJ/eCDYVr7QE3G7t8NP0KL2Tf4NTBzercmozobfWZWMPd4C67Zh/t+zRUcST6GDyawGt6EhNIQEd3SJYeYSPYrYKI6oPAKXWYFoVnqZww1gU7jSFnfGU6ZZxgXvLYaYtGEVTA5DW1xfL01i6PjbZwJkAQplYz2gmZ9g/zpH/U9C7jA84ypj9a49v9p2jYPcIsx5WQExA6SyvPOTs84OX8HDhNHDniMKWl+8QCxZESNkoLUVGirScppywXe+hCIXheCi/ircHkJ1mLY+iEPJzcxEibZZ3ilaJQZl7yZcbYrK4CJWY0S0APyhzlPUvTCQYhSlNUXWlA8Ig4WvGE2FiUGCLxBLW1wYlB48l0dTDM3rgrJ4nMCBUcUKoMkcqJ7XQGLmDiNP3yJAGe5WaPMAgQBegAHaac3TJsOoi1x+TjGu8zpiw6hIFDe48TzflbGX/3i7dZTKe8fPMil/cfIUvblE4zLaq6WjfdGZb7BQfGYtMIr+Tw8METimXaToiKNr7osLWsmHYDVvrb7G51+er0KZSyTLoRG+M9OmlepY8gvDHs8BXTIWyVNIY3KWTKKGmRJgmpKyhtSrNI6ZgttmPHblyiVFpFg4on8JoFN+Wj+98m8pbQOrStsL0utbfQMuVhtUs4OW5yVq7yawFk4yWKokV69wKT6TKz7Wh8jlNCtxzgxaCWBsQrGc7nlE5hayDs0BUk9hpG22rN6JRob4FTNqPnLSQJl1cvUeiA/qjJnTJElWB9gM73WbryNfrc4cmFN1kwE57qXCfQFqertI1MOdJWwMGpDgcXFlga5Dx2+Sbn9j5PXo4wnEAvthi0etUZ2kjYW7nLMDoAoCxSvFfs+lVGtoGq8nl4ciKEyjCNFTd6A9K1z3Bm9c/x4oiKgE4xwksVdehEozqKZrfJYKnHd08s88ZirwoUUyFaYElP6KmCJPR4MayoWyyUu3T0gKhIUYFBBKaS4oOUJYGz02ojlOIpY0OMMFWWG7RgUtAqp8SqRAQudD7J2Sc+QmFjFIpi6lAuw3iPiCIjrPzyoigjxc7aMt/rvYDyIdpD4GyVuiKGstFjnHRZHhZErmTp1j55qenXIAcHusni6A59saz6m0Rmh3G7QdIoUKLnJnGoAKrzWJDanKtUQETBoh2yPr7L+atvcPbGFQRPKRXDyri/zJSyZVXzTioLyyP7AxLV4EJnjVXTB8DiUaJwdWrCUSdQEpb8P0+9ycMX3qg+EKHlJlzYe43edDxn9g5BK1hsT+ifP0WjtBSqpPAKh0bHje9zSv9w6d0EdqBDyf81+Ba3yyEdf5d9e443zQZFXKn0xnm0eLxUmoypIjUYmZzb5jVGaYDL4XPd54kmOS/Y70EdpOLxOAlpemHBTbiZbnIqXiIUYU1b9nXJXR6ndB3+LPsAbVXOpZGQAicWZESqo3tcjhX6xUODWyjfwpR2vqCnojiVVgtUSX2bwGOxJ9vusHMi5tvxOR6+dYVWc3gkvJ9qAUqJ6DETJ3TjbXINThXgArKsRUkPYzxOYDPs86ZrE6uCnf4ScbCDQoiNp+d2uV2WGOsYb1+qvJvDPl40rjbpitFcW3icFaNJ0+uEeheDQ5Ul/Ybjm+4iYfiXeK9omIxYFWyWGdf1FO/HFdSWjlDA3WaD1f1rrO7DyV3BEdJodQnNFRayFu3S0ciaIN9DgLubIZuqSbMQ9nubTOIWQo5NDihSEEYsUZL3LCbzBMVd4uh75MrVWpjgGSOiCLUGr8m8JQ4yztlrrA4jrtom15dmY6sqIO+00py9h8IGOBsxdp6VdEpvb4fn927wxkbMlBC0oaevMYqB6yOmYthpWWSYkYz26egGE1WQKciGIWq8iliFEgXK1keywipDETfYbl4myxJ03iASy1RPWAwnfNy8iCiHH5zkILhO5mImjZQFQsZrLcqFhKhwaAvDdAkbjNE+4E55hh26lMozC02dyIQAmJZj0vAMAxo0/SGw+mqpCBqLhJMhr8ZXeXz5u5h+ARi0Uzw2+g6v+ZhPbDvShTbrmxFT5dg+tUk5mhLt3aVZGLxpsbtcsmT7yOY5gmTKVmA5k12nCO7w6vQCi2YBbeIKus8IURwRRD2CDgiVNaeMFKVoCq/YzbqM1SobMsaIQ8ommpBPPvuLBF/6KsHNN1CZQ4oGxkkthFX+b60cZaLIiwYOAx4azqNdFbHZyFJmSESXbk1p3f4257avc71Y4I8++GHirOQPms/y9XHGZrtf5c+aQ3Sohxd7TKYOC2QEaK/51fSP+aNTn6CftUAH7LkmDZ8yQXO+vMnJ8fbcYmBKi/b74LsoX7A9XsP0ryINi/EOT0lhUk7sH/DU3iNEC4fvfsP3ObeYsGtLzueeaR0lKkAgit7SXZK4zb50qiC0uCTISkzomIyjqhSTUxU4eBFzbv86+wacshRWc7dY5+KTv/RXOr//KvSuxkd1ID1t7/IMN3nYv8nj5XVClWKDsJbUqutOS877stssFhOSfMpQlwxlyGXV4drOaRavj0gJcRLUWpvwDX+OoQ/5RvMxenKXdfkiTlemzRmiikOzJ4u833nOmu15Xo9hTFMP2Y33uWbWuB30+GrzHKnUC1Kg0E20pPgy4KGrb/DQ9TfYweC2Im6YEygqzVCAIi65WqzwH6KfYjDqcWpwk5P5kIQUJY5QMpp6UkWmOcsN16Jd5EQ+J3SHXFe8Z3k0ZIrhYrzFI83rPNN6k5FZRBFS5gYnUNgQ5ctKn7QB44MnMHmD2Lo542v6kjRoo43Q0o+wSEjSPE3R6JH7SnDIxkEVAaiqs/W9xYQF3cJMe/QOFqqoWCc0s0skdsqZ7WtoMWi1yI4+T+CWCVB8aPd53tN/Gm2lgoCjypn69mOP87VLTzA3QS2MUMmEpHmAiBAkJTqwKLEYPWAGwepr4UPI8AIdmaBxaMkR7zmVas4clATeYHwlCOEFd6PDTdUgC3LGGnasUOaeQClG7R6+LRUPUZUErn3OWv87RMWEfquB144gm1RaZqGYuil72qCKkjysIMWs0uyXA6y3ZG6CawR4BVYX7CRDnChauiCpg6xEeaIiQ6Yb3CojbnZGOH2YrzqjMu3RoMHJ8gTPZx/GuDYWhfOeTtKtgzcgM57d1hpfOPN+HJUpkjr3NDENjApo6ISOClhtbRI3FzFAkofEPuXSwTV6ZYGLDHG0SBSvo1TEZqZZ3T7AygS0Y7y2wO4Ll1j7+U2M0awmBh8EdP2A9+ov04gqNBClNSqKDwO1RAhYJvaaFRtSZpotVZCKwoSVr789aXF2ECChJm4FPHK+Tb6cUAYa32jM98JS2aenBrSZUpYRt9NzOB/iCLF6meVsyqN3b7K6v09QxYVjtGb1YI/A5ngvmFDRa2VgYCty9FcSpg8/wt6TJ+YmyVbS5NXkBENp0JcqWvo99gq9eIDCAh4/aTIet0lGU+5mPdJtNcfg1c6zxAQ9KujciTjxRsq13dN8JzhJ4C2tok9qKg1t0dYm4nr6LR4fldwOCm7pAdeC7fqMAi3CzsLDyInn8KJwSmM8NNsWE5R86qW/4G+/dhVxgnOehckYjiR6eafZ3V8i84f1HH/U9C7jA1Y1+Mkiy66sEmCBJ7OrhDatDjcPpWiWxfKR/jXOjA6I1A2UzbglLUqBKIiJygYYNd/gX5RHmKiIL5SPMJCYE5NbQKUtOAWlVIt1Tw/QLmDRTDA6O4KqnzOJtgjCPkbgj3tP8EqyQe4WeE1t8hX7Hq74Ta4VCwzHW1y8/mXW97dqG7yweOsa3XSfdn6AE890sY8IPPzGd/jw639B4lI+nLZpeOGET4nkAI8wUR1uuw6v+RbeK+LC35eIPQNA1spxKt6iJSVOGfw5w95rD3Hn9XOMi9ZhLhNVaN0oXUFj2ctOob3j9GiHXjdkvD5iPxYW7UUSHwEKJQbrFc1BgNKVceKrjTfZy/d5UXeY5h9hY1exPEh57NYBxq2ABo0Q+B2MwFbYq98+S75VhNYQeEcplaR+oALuRjFWVekCtikQWmYoO0KV5CtUiZUiJdoVR1iCx8qhdAzQb54g1D3aLsZ4hfamMiWJx6uCoYTkYY4TTVmxDh7qD2mWFkxlXp4hq86MW7quzKFdlf6wMDU0lUF7z+v5x9i5ehprIoqwBjT3BQd2n1xbslh4LX5t3h9X+1ur1IOqJ51JFUIfKMNIddg3ASPVoT094ODK0+xe/Qin7DKfKn6an1/5WzxiHkdJZVq3yhFFjRoGpDIfjIIYXQdkiArrNwtGaRomqZK0gVB6BMEiWjzNSUInTciHhxF+SoV0Fs6ycmaTsr3BU36LQAo60RSlwIUBKvGgwAisJV0i62DxEKxdFPiVBYpnT8/nTTCs2ojIazSO5uIbRM0tkrAKUjs5LWlJSLBRlSOLYwONBuNGOIM7AWDRjVlT+7g0YTTu8VpaldZxKIQA4xztdIrFUOiCAs8NMyRwU0I7nPdTgKAMwGtOmDWy5WWK5lHcVsESMpLksF5nbXqfUUxAxwaEeYn2KZHNEfGIaJQEdNE8e0P4yLeq2IKB7/DM7td4b//zaG/RcV1HsX68q9f1hMb887Hk2FngUH1dGnWhucL55SbZwgpmanAuwWcB38hPs2WX+PTVIX/r2h7NsmRPZRRS5RvOyL1NDcwfJr3L+ICzylHyPIE6R2kCQOj6FOUP7dmuHqrIbxOwjVI5E2P5rlrltXKTodtAlW1y0eh6Mpf0AJVWiAef3v59fvbmZ/A48A7xUODIKJjE1ynalzlz8vO0kutzNA/mml9Rp0VovDIsuLNk08fZLk9RergbNJiGBUVYHjOHdvIhfpLhVcGray3KsMrXU87hbWWqPJn2eJ8v6NbJ3N/KMl73OVd9i35QVIm1dVuslKSmrH1tfh6VVxnwHBvhlIXmmIQh19ITlFRjKc5hvCIqLTvTR7g8eIrdYo3QFbypT7LfyFmSDk5ZtAgiriqfhCISxfpSAbqqvXczOOBGep00qFDtRQLOHYxZthWih08se8saRYZqhxVUPqC8wkiVeuK0qRz1dYK5ADqfcqOZcqU3YhgtA8LAdRGBoK73V4rCeoVVNX6PryT+ymwp84RhASZhTF8tUhBBGVWHk1TRlLme8tXJ47wyOsd2ulEj8ug5A7J1hQXvK4l7ST7Iun0OVQcbrYwCnrmcEOdVkMPKQZ8zt24Q1MvGqkr4Ur7ksfFl1uxNlC0YmIPqAhGczA43T1xalId2UWl/SglFkDCJ13DSRrcMqtUhJCBuhHzyv/sF3vOh97LcTTAqx+kSK5bFM11GMqhM2TW7XnWwYRXvkYN5/wAkqE2f4XFvy9Xdx7lz6zwHxZEcWl9FdH7605/kk48ssc6Qjipql8OsS54g/TR69FE2Tm4QntL4nj+6jXCrMf788bI3qaraYVEoDybIQEpuBBuYuEvr4b+JBIfHZBy3KpBtffhyFVS/ax8xGnehCMh9UXvihSjs4csGShRRY8wX4gETkxO48TFoPsETlIbF6dM0VTL78GgnaeiqRkzHjqsv700Ung3ZNGKiW3xn4yLT1QZyuwX7bbLpAu2iIHBuHqQidf4hAuFygo0Mk/UKmOPu5nu5pjcpTROlFafCEoTaQlRFuG6G+3VThbVOzKeePoF0FhDfQ6wwMB3GqkngK0Qn8DglKONwyuLJqjX5LuP78VIQRig0+EUaPX9kQTjuXVLd4CW0mlBqzyuhRasttsoOQxZxpeamrDKU89zxTxBsKdIbOVtlSahzxGrwFrBgq/yfvwgvITrHBQfEjT53V76F9UeKqwJOGSauyvkZ6UX0tEvkwjpQA0onjFsNRh3hSI1aAG74Lt+Qc3yl+R5Gu6fnzOrl8BTfik+w2foGZ4eKztjSDHJSPC/HV3i5cZlpXUGhCvtyeFchrVQpHSB19N1CmRJ5YS1JUcDowiJp3AZ1eKgJvqq4QEDqWoCQBSEvt5cpjfCJrWssmDWGjYQKhfTwXi/QYBOrDEqW8AZUXDBVjq1wgBIo46wCtg5C9nsBdza62LABSpBaOldoUAqvg4p5c3iumDxDDfcJy6uUklCwSKB6LPgccQrtoUCzowKsVMd64YRUJfPCxXiYNifkyZRu0+PUzJxzuIoqCARHlKa8NniYaL/q6ZLWZD5EvMeWIVpClBgQTyQ9EhaOaCrQnbZoTjvsKg0S1ZXBwecHhElGqQQnexhfHTTVDFSUU2lA4qs8sKvqJLG1ZGVj/obQV77mnuvz4VOKxtICQRgjSli70EOUoJUQKcejZsKqKfiFZ09SUpDXlR6sq6KHl70QizsStQiiBLW2AqcXqwhWXWkWGT1GskFqW/Nro2idbvdZWq2LNGrFOowT8BD0Fus9LEQbJwl7lwiWI5phbS6uIwfn7xXhaOGbK+E6B7rJq+ECm/0tZnbsiY4YLvwypvsYs/IkIgIKdF1dwvt6XYlghk1C36Bz/VkaZcRRCbQRJax0z2CSduVzv7/4+Xx2qhCQexB/jozbcmfMut1mwfVRIvedT4FxKLEEokjzFoOohzKCKkHGEUodxyB2orALPURrSt1AaaFMDC7QgJA0FxhsFugzPbQRnkwKllROoseEasoHGy+x0hrPJhUAoxRGgVYahUIrOYJudazTdV3OSuByD2DgPyp6l/EBqrFA4caIFwJ9mFh7nKqDZZYYMJWIPLB4HOIdFoWIxxjhZXmO2/4Cwe1FconZay0CgkZXGoZzlEXB1+UM2SQHKfBeY249xP54nSSPiWxEXEZYPC4ypC7C5QlhGZDkMx0MPIqICBRkTc+cWwLeaqzTbNFlmvVwNkIaj1RYfVpXSb8CgRbOLfaJg7pArZqSBwOsUWzafVZsxpauwLSHvjEfHxFfO7ehGzTnYN3ZcsKgs1oHdBxJUPZVRTmpW1+GhkxXfdkNDxjVIad5I6xQL2Yjn8d0/CmS8il6+QUER16XhNoPp9zZ3OJgc4vuhYeQKEGisnI+1GWNRCmcvg1GMY1ztHbzTToOqmNQAYEt6NYnqxKhFYSE3rOW7dFOp5R19dxCcqxMmPiM3aRbg01XpHVewTNpOOcLVhgdWnPqnzbWLG3fYuPmbX7mc7/Dh3be5MP7FRqPuFmSvkJEcYizUa9VHIFYliYhogzlysOg68hR8exmr/NyL+VGVCJVXSd07U8Zy212xDIQf3SZ8E3zMJ+P38uXW6cQXRuEfUnbjmi4KaYOXDl6LLUXY4pmJWU1xPFQMOHJk108nmkRcDBu8/rVD3EvmSisf0bVYVg/VOoxd7bJJO+R+8O6gka3WFr6yLHD04QhnZUzXHr0KU6s2ooZaYXpRYQn1pBWG9/oHhO+nmk3+Pm1BRrzA9aTScDVcI1MNKEtcWQ4SpybHjKcevAbz64xXcwYjAqG6i7iKg3fC6hpRPS1s4RF+/C+I+0NgwaImh+4vjabz/o+I/HVfpzNd6yrcTDKzJYzDT+rASiY2hRZma81F4N1VgqFkiZxHBIaxXo5oeFHlSVJZ8fmQ4CllV9jL3mMg2IBXc8twKlHl6prQoUkBqUCtFTzXQEPCDqE77Qv1c867ElmasFFBfR9tzpr7n3xPfRWRX1/FPQu4wPcwnmmdkRaTjCUBHqMiKcIKrTwyvZuWd25S24Vuffs6U51eEiVNjCbyPW9m3ipDnjjFZ3sJAFNtNNoKl+P8VUVg0YxJhKHkz6pOuB19VVGRYeVYYeFdAGHJ9cVDFoedohKR6OsJMKlvEGjDDAoQgemrAIqQu8xDlqlkBPUgL619ugV2jTomD491QeqTbunFhmagLGPKinMKPzaN8kCTc+lXCiHnBmeojj4eW77lbren2eWRFVhEUoV3RguMnSXkCA5JrVWNdAcxegqhe7TcVdQ4T7bcVgtQq/o1JXbVaBIwipcX3mLslUmVh5skGTCJFjGIGjv0HhKlTJRKa34iHmoPpGcwCDI2Ytukl7cRi72UeIo/BIH0Rp7L21ifBXCESjqwpzHmY0RW+c21knXAnfjmINmE681ytV4O94jc9HIM3EFC4SAgyOoFWVouLp6moUJXLh7h7/1pT/nkWnOGSznZVQLNNUz7D3OVQEiCoatkNyU5HGIm6fTCFmguBxNKAHxBvFSMRSgkCkHUhC4mV+u2v650lxePMmNtSkSqLlAgxwJL4+O+3SSdsjDnz6HCS2oYr7+la76X5QGb2NmX8zMfuvnL9FaXEKbo6aJQ5NbhxJtE3r3CZ73kyhDYIIKHODoOGmNWj6JC6Nj1zeN5mIzmf9t7GEakqfKm22XQ4LigLXRbY59CQS9CLMWcXNymaKo/IAmqJKLrBRMmdYBIVXqwkwgiaPDHD0FhI0JOtqB+Ux7Hr37BnGRc+bOVZQcMj6tNGutdZZXeqyf684roSg3AzeH3FTBZI2kyXLQ5FQRokUfMhcBLUUdO1A9edKuzPlOGRIe4kb2CFBpyb3VBs/+3BkW1ptHBltoNB/FhBv0bKsSKL3hj3svMC+hd0QAnIQr7IcnGEqPlBZOjs+3qwVewrxunyM2D1CFf0T0LuMDdKuNFU3hLcZbkuQOQfMauTmsD6W8QztP5jVTU6noMxKOSOS+qB22CuMNa2XAmfEKl5PTjIuEwBnKGp9xls8lyjPRW4zNHhNV4P0Qq6ZkOmU3qTZPEbRwR6TjwKtDCcsXBLNK7MDZvKBthRJD4SqpX3CENiQMB0fQ4H0Vwt7eZZsmmTeV70o5CiMVCLeJyXVA18HInpybI0QAo/FSmUO7UUYQ9NC6gdMPMWqepvT32F0Bl++gcSQyIQgGWBVgBNa7eyzW/gMnmkAdwpPlGvYNZGHEsLvAVy99EC2eRfp4D8bm9G2XXhgcMwfWE0KmLF4V+ID5ildWsKMuYVljKmo1DxgYRxbrLYWf4EVYbY1JTMkj+s1K8ReYqiqvMMRinKM1nRDbDC2HcuuAPmW6hSKbrxAv1ditb9zhY3GfDe1QzhPnBU/bjCUyPHCNDgdByYFbnM3U4XoTKIIUL57t1uu4mtl6PK8/9yTTRsK0PvR9fa8TRR4YYvFoPO1EURpDGioGzUpwsaoyRz6eP0ZTnSMPN5jokOH5p6ugofUhycZo3o5GJ6oiT2fmcCCJc4z2VSoAtUlQKbj0flw7QJRCacMTNczcWYZYE1K0ekzjNokNWbeC4dDq8k5cP3LPSdYNV2jqJRbMyWOfqyM1xHrTnaNPQJRBO8/m8BaNYjwfcT/TzPSRg/lgHTk4Tc9epBU6FoLyMJ9XaRCFby7RjhfpLWwceQsooxB9BAEG4XS+y/uvfQ2pq0irI9qiEoVSiigxvHDrS4Q2pzOtg2I8uEDjTTIPzANoowlMQCsO79MoAUoTUerKB3/UVzrbOSbQHFHI624lnFu7RFO3WJWIJWtZdXs8Mary97Q6NCJ7UYzNIk1yFhLDK80ppTgGuooGLQMwSUa0cFDBRC72+ZX3nuLHRe8yPkC3q8rPAozybvWhmiWCV1RBK32LcbuJrSWTmZFBvK+ri1dSZKldhWWnB2jgMS+EOmJ30j12gM328/uGS7xvOJNOBfF72GCX/Wbj0N8IKCkxvsTIofYwe0pgQ05MPS2f4vE0ihu0Fktwjt31JRJrCFSGMYewQM5AHk4QPUWLrSMXHdYL1gV4PLf9OUQsY7uEUIU132WKVd+sHUWOQJcE2tFsPkyv914+/sgJTj+6XiUs30PKe9rlTcR7dLiP1xlhkNJtHxwKEEpQUlQpD16YuHAeRea0mSfzGyxn/A1uuzaXw5P8v95/jpU6+rN6DoySOkBIpyydHrJ6cThf9UFZcqezzEHSrnEUq7H+3okJX3jCUcQhxYkGUeA4t7jPmtoFhL208lF+O3mUGyc3ai3bYbBV1CeHJt2+u4V2lU9whm2I9xhjeWIpqYKSoqgyl9VBTw7PXbvIG3aN1LVrBqJQ1iAemqJJoxHj1i4mMlgJ66YLk1aLvbWVKl2mFh1KrymMIQtDYg2npCAwAkooTAVXBXDGxHR0zGn3EIk6jS8qIPCys1Rp9Mof16zuW4XVbyIOVUdYVgHGQvmBk9inevOrPmgVvzAt+LC/DSKMLj7Lje4JFILBY+xhorUyxzFyg5qpm/DwoDWRZXGzxcrpdh1wKXTMBkYlx+5V6nBNandE45PqHi8hSDV7a+trxzoXhBGnn3yGpfajxKaD2X0ar1ZpJpW5f36hMoiOQWkaUQcTGFSkUVFl6tQ6wfvgGFc5t9BnoT0mWR5yqr1HbA7bNm+7CJc2b9B1Q8KjoBlHhK2ZMKwQmo0WoTm0YFTfH/29opZRnFmdstHeekBtUY5db7Qi7q6QtBfJdMgzg5cIS0OuV1ha+qn5tUEdtLTuDnj2RItiucP1YEQhh6ZWFTiU9pSJxy9GJJ3Ova/8kdG7jI9KUtZAiKV0x7UU5WdRgULi9ucQSd5XepP1VQW61iSlOZ3SGQ+5sppyfamP0gWD1h5vtBsghtIflWMPabNM6LgqOrLamDNmN/OPeR7bvkszH/L47rfQQQ0DJIdaXlu36OaG05036CV/Smz3KLcXiU7DeKEzj/xSQB5AacAFrioPNHvfvGEVHqkgvKku8ap9ntvFw1gCPMKAkkLvVIwqbxBR4ZNWeKWatU7M5kLzgXZ8jyPSL7HkvsFnN1ZBPErZWrqsGyBSwXX5BLwmIWdzuAXAqf3DYpUiFSN9/s3P81PTr3J6qcnz8cXKX9ewbLdzHlk6nM/FUxM6a9M6kOJQN7zjlrEqJhDhZFgdSHun1nnz4+/DRdUGjhqV2c54zTTrcH16hhftU2ytLR/z5ZQYlORM7CYqThiaXcDXMFeHPh2bGMJmgyXvMT6n9oYS+3xuqZ3htgoQqwalj2m+7DF3oyoIQ0UQrM4jQj2aQbzO2PQOx9tD4SurgbI5xpY1HNjMBHlITa3YDDsEvoGbxHgU1CbJUlfIIkc1keMTO5s7ED2t0hxaVV+Wg5oDqsPjRgOnrKvB2SpqLy1hwgiUoIE9/T0mepd4Zf/Yq+JWm9biEsunzx1bCxefW+Xc0yvcS8c0niMnu1LHd2JDewiaWImxUYd4Zjo/ctnJRx5noXWOJFiozH018HS1v44LtcdYjK6SUOdWQZGqUoIIXgm9IOV843Vs3uZMZ48b6dNHGl3vXYF2r4+KMkQdphosdiYkUckj7RTVruZLoiNC51FhxRiC1hWQDPyMYSpOrmQsNw7uH7v7TCjQibuo5go9ZcE7Bss9dju/RBAcMq52L4HVM6jlk1xszcD7pf5fdeI0TO0j7Sl4qP3gAJgfEb3L+AAxgpOIEEsnG6KwCJ61xneJgHMWWnlAkDU4p3fQqqBZDpkfHlUJdZKyqFIglEOUJ0gqIOm/XAsZqioQ5kH12QCMOGIpaAdHEMwBW6+Xbpby2J0v0ypGiGiyZAGrI074kl5Z8Ew54NGwz0o0xUjl/M53W4czLB7tPRmavIQSUFmt1UqV41b5zWYRZdUidUox9guABq/43fID/OfyA+RByMdOKZ48aLI0brC0/+SRAYWnTi2AHHVXe1CacaNNHmgKmbAd9Qi8Ji6Kww7X3qDIF9wIHVp2cSpnc3iHh998k8dv3eQxckKbsuz2QAmBs/MUkPdHL7Aetkki4ex6zloSHrGD1WYcY+pNdnxXGxE6+nBLmCMHRlPHKK8JXMi1ncd4M3uYkV2ob683MMI3xy/wSv4Ug+I0EoVkiVCUfcpycDj3inmppSqeuGq7qxmkxrIwOZhXMKDW+MYqoT0q0KMQVFifSp4iqnwxhQk4iE+SS8SNrsx5jXYlyhYoX2BcgUdIO0to78nDQ1PY/dqczE++RxfPESbnOLHwzL1XHCdl+EbnS7zY+yJR03Iu8ixFqn7UEcZw5FUBiygVotRZtDEYFxHgQB3g2n95v8YXhcTNFgsbp1HufkYHcKKXIAIr7UM/Y9XHw/m91zwqIsRJDo0GEhy1VryFrdUL1QbTVMbZI6xOqjlWdQDQrAlHWkLgHU6q1F9rbyIC/ck6r+7/HCp4nPH6JmZ9fT4HWglxoGrhoxJ0UrOIjhJOL4053Sgwiw1MN+JEnWqg7pnTy/EZbK/gxqKhxJMqc0+rDk27b0WBCnhu7VkeUiUXkuskp+43UYoIsnwSgpijOw0g8mMCLJttRSfqkpiEB6ykHym9y/gAvWgY2yEHZZ+V6d68Yvp78pxL3rFQCsqD+CX+0/Iv8+14CV2XM0lDhQqndFwFWr0wmRJ6h0hJHMDF4ICPja4yefkSk/3K1l+iKogn5tHTAARi51pBMo4ZSYQTIfaV5OmPbKwDyetFmrNY5kQ4ojDAqBjwOJ0ziKd4gYcHL9LJMh67fUCBobSQ5YfbdBY9aPwMZO1+vVS5CmczJSKjKk3SacKKTukddDH2OM7eYye6dLWtpbsKOHiLXZIsYjLuoZ3mka0bbA5KLuxX2pwACTFKFDEFhRJcbdZVOJKsqiL9i8MB5zuvshZUCfk+UbRbrXlfzEwTFrA64XL4BG9Ej4CqtNJpp0EWGgbNBlYbXNysx/L49nvqZEqgPZHxKKVIbIPIxmxPNrianke8Z9WkFM0W1gRYE+AwjOLl+YGzv7pQRQnK7BASGrVgos1xrfho4kMzT1mcXMfV1R2d5HjdwNJF8qXDezzYKOag22X7xBkq9iuMEw1hzY69P85pvGK6dJ7hygXurq0eAxF+q/PnRBLxSO8koTk+z2GtQcX14fze7kdpNTd5SFW1H+cWkiP3lLHHGI30qOc24MyZ/wcizxI1CrQ3lK4gFiE2R836Fa1duMTZZ57j4fc/RKu3xtrmL3Pq1P/t2DVxoHn+7CInF46bOo/1T+f39ffxhxucXEn52IeOBHa8nY9Rjv8y04qDUCPm+BE7+0vjSXxJp8xZNBZTRCgXYGyCx7ASGn7mH/yfeO6TH58/V0QIJss4p3BeV0npuonS8byNIoASHi/3eF8y4m9GV45bJFSH/2H1V3izeYaDoEGqa8asHzTxR9fF8e+VMkQLZ+ieeQLTu/A2A3T8mRpHK4BAK0J1RPD6MTK/d7E6qSSz9sFVxj1oK1dJ5EA0jcEfnRjYDtY4J1VgihaHRVP6JjNVvl2OePbmZTq7d2gHmsI5Hp7epl9UGlNghRJPpnOyQLPXcnBw2JaQAvGeqEiZBB3iCBqT45s/dML39C7X8XQ5NMWG3jJVhrxRUsYWU1Qa3WKxy9O3rjNxJ+eLywOhq+ztuq7eoL1j2d2l6Zog7fn7ho2QzYlQhgHWV33fU13eyhXdWlxGKXXMad7Mxpy8e7fK5at9d8284PTggGihRBOgRNhbXKI9KYj2c6ZBiCuEaRDgrccrQ6dR+YEigYO1TYwbsaB30fqwksS9dDc4i3Pb87+vP3me65NdvM8ZrFzAlwmhGApKOmGbSV75QRuhZ6Nd8FLNsEQHeF9i5uVhPEY8+6vr9Ab7+BXQ2jGJYuKZWVMrYpuSEnJ25Q7T1GD3hd2ygVbHow6DskRpT+iq6LoAX0FFqRyrYZWSJacoROFnqDLeIwryxKPDOmxJZpkcQu7vZxwAoiImpy9i3TVUFqGxrMgq88MbVUW7ak3lt3vwXK9qw75YGrWwsRFssBFssD+8RSkw1g4TelzNAJ577jnyx3O6psXO6zdhULdn5rcNHSaaYF3BW3FhpTRxs0UYGx778CZbWwZjmvdfJ8Lq6ipvvvQ9jJmtD8XauS7WOtzdLZR4nBdEPM3eAmeWTvHJ/8MnWWuskf3p3Qd3ejZfuqgQcEwBHM5loAQXaOIj2lYSx2SlRtkqSlsAFUA0duhYI16jfXxECBFWwoC9IwOvBZQ387JoVR+PH+HxxYtk33uRaHOTM0FGo6jXidKICjijQl4tIA7y2WDSeO8qsn+/TVOpkNifISBGcdQFVPWrbC9ycOpRvNwfxHaU7ptFkUpgkqP79cer8b3L+AB8Xdm73yBvhuxJgzILEDSioAwCnHfsnn+co+YxT4CkPQplseVdwnILQkc3m5Dk6XFTyszv7RVhoVEk9BNLqQ8LOgJENkd7R2BzhiapyodQ1IukesgZZ7hW5rjAca/SLl4ogqAyt/qIJN3DRAXjsIUqNBElvfE1sqDDmtzgeqfL+ckB6VAT+oKAAiXHERoLo3n95BLdfoArFB07wuoEuefdz3zq00wHA3pr63g7BzWaaxuFQIhjpCYs1Se0zw2mTOjJGoKvxjpQhOQoiSi0ARUjzoMOCFSIOIXLIpwJGHaXYPD6vA3qSMuPS5BHzGwiiNZVJKwITW2Z0KShW3xw5Un+ePS5+5bI1DR4jfPkaJIk4eCwZDD9pWXyk5tckq9W3Z0bdyoG9ok7n4OW57+u/gzG2BrbsgqKCrXG2dnacDXal1QZnzPzmMAsB8wAxYO40Bw4e/as6mfpC15JX6Fn7hy7vFM47i72KLiN31EEXhGpyix1KR3TbXia6R5+sQlMeSvOZ5TQ+j6Go62oIGqEzPTETqcDnSP9uocEUCZFCsHr8q99HC6tb5AkMeVMUJAKF9OgQBkcGhQ021cJ4wStNGc6ZwDQTy6TvrpP8tRxc+q0bWAAWZATtAokzIG4xsuEj9zZZ6sd0XSH2nGr1aQsBjCZHj4oEKQFZvkI47hvUA6Zp1LCZnMTyCoIuAckvjU/+lHyK1dRUQTkTNQ6gY0xxEgYESrF8mRCGTteiK5wIpHj0ar30AIfIWH7+/rf3AMY31El+b5b63Y3ejFMR3jz42V68K6pE6ikofo3okJROkOZmeroEo9XQhGGPEVEq7TEtlq8BTMp0qPCKVZXCAaRc0RZSpNDhtaaVAEIypnaAaDnDGFsjoQ2PyCsKgiqQ827yrwZeOGtlmpkQxIVEWtdVfQOu2zoPotqTFuqcjVhOaY9vQ3iGcQNlPIoGVIVfa3+HTV1RkUFNH2iHPOz+Vf55fyztU/jODU6XZZO1nrgvG5XJdaFOHLgeriLPbrqnBDmXfTseQKlhBhfIig0pspHA/JgjFKaAEU7DzBvgfQw9R1y34S3lESrvoVaca6RcjZJEYFQQuJ2pTk8aKN/g6f4Lo+g7jULiWDD8PgOl/lriHxJ5KqSSO4o1FW7TRIERMoTUuWDzb6tvMaHVSDcjKEKeCXITIM55o858uz6pwkXGTGGhcGRq4Tn+wUX85JOcfvIp9WzVtZWODU8QEfRXHi41x82o169dwLzoLF+B3kI99DK2fM0Vjyj3m3y5v7b3/A2FDYadFfW6Czf7ws0R+YijAs2Hnrk2PfBepPWR05gesc1c99OGDWEUVhDvDUHRI1q/ygtLOYF59xxv+QDSQB9qO0eE9PqP5Q+jFxVImx+/P9N2djE3WMtmF+jVM306raKpp+uY2tAgA8Nxwies8MRLZOzGSvCGQBCTVHzqJn3MGjprcjLW5xGM9+kCCYw4BJ8ofDjqk+bj6/SPNnEPhr9uBW+dxkfgF5ZxS1ugMBka5XWAjRaBi9QzFAKdE6Qj/mFay+zltWJ1kASXeZk8N2qHljUI+wuElnFan/7WM5Q4BRxEaIIcfXnVSEQy9265hUwj74EuHg6Ynm5ZPNkg6QdgYxxfh/r3qzaPdciD2+f+haLVLiAAhTJChI35xtJH2GZldZRVVlfry1iFTDy8VWovaWdlnQI+FT5NR63N+uF6t/yaBMRpE5mnuk/8y7WBzjzb5mPJ3h21UkGOjlyfaUNlapgv5MyDO5wYtJ5oE9AAUNWGLB6j6g585Mc9W3CelySmCNStanQP3S3OijCsN68R+ZSB0fMjA/ouw5MlSvpwTtFnlX+R2friLu6BZ2/8TcIlzo0L1y6J1rSU4plEIyPj1lnEZ+E5A8vI3E8/+Yozc6p2cZWpsmo2UWFHqWExDiMKFoYzpR2rqXMxgMgOHmSjYVliqTBij2ov3vwyfTYr/wyF1dX+eDf+ZUHfv+DUtRosnD+AsVCH+6BOfurktL6LdoveF3l3Qa1H/feNfWWms6Rj0uJ6vw7hQmqSg6t1ePr917SuhIvRQTtY1RmiG/17ruu036KMFyg2TxfrZHWGrlpztGCfKjfRr063taN3PLTl2+yMs1YiwwXWhEt0+SjJz/KL7//H7C0eZJHPvjRB3Y5fGIJCRTBZuvYODlp3Hft0VYoEU6cOMlSZw036iJoBiuLmMjQPt+BuC4V/GOM6nzX1Em1uN3Zx9DffgObx7SiNnZa4iXnljxJHHybG+WjrHiHdQXREXOnkoJQ72D1CbxxWNWl8KYO7a8vuy9Y7lCfct7xstnkmbzPq6ZL21UHrpaEswsbPP/Ee0h2MoJnhN/8nf8e7yd4qSRN7SGyhwzQI+TEXG6dYjV5jTBtYEVVaQi+Kn9kXFVlXgFeC/3JOrKp2HjjJcYueODG8XgwBa2WQ4+C+bvedlyTEMTOd4EXqcwa87P2eBRcu8zACE40uQ+IyxxPVSxUgJiINLYU0yn+AZutmhHAG6AgCBbn71LKQJ37dJxde1oBxKJpttuHjWF2n9BoKpLFFWgM8a7KPZq3X4QgMijMXGbRJkBEEbsCbR1lGWOnGud0NR41BYsLNB46g+u3kdFhuwQYSpXw69UU6DIISxqJoXz2JHkLAtPA0mfDnnjwOBxbc7XfTkHLePL8eJTr0bGYfb6RaD4yfZmW2gMef8tDKT5zhod/7dfu/7zVgukDbngbmr2nvbSBsTc4sXLuB3/I/U99y0+Nn1LqiKCeF/VWqu33oVISxFWYoSJgQoVaTlB3PcFGk3I/u++eyidtKgaiEnovLVN6PzcDz0ipgGbzoeqeI03Luj3i/oj0fecqAdu/dbuP994fS6mY0RPLT8AycG+cypFrzGqD5EQb+XwARUmjeYGw+2Fsen/+3QOOPMJmxGDzBNbus7+ZAsP77vtx0bsa3xGyDz1KurKBKDOf8JwWt/THGMrmfdfPS3cgpDplZCrQ3xkd8SrVf89K2xw3zu/9/9t78zi5qjrv/3POXWvrWrqr9zVJZyUJSSCQABoYlsjiBARlEchMJLLIKDgqPuOIjOMggsz46DwyvF4yzOLMxNHx8Xl4KYKi8wNRQR4xLGEJS0KWTmfrrbprvef3x629q6pvVdfWVd/36wXpqrr3nu/3nHPP96zfL2/BE/Iq/EFtRWfED3vMCU1S0W/Tsal7BdatXQePx42YrkJwCUwyF7g1RCEbfFYhzsh2HBxcgsOeUxBRNOzDIgRhhwEFHBxODbBpQCykQeI2zLS3QetdhDC3A5KUUWlfl8chcQNgArKWPr0yt+ETrrjfwoRBEALgaV5IRBgxEUw6C1gWPIHu0EmsP3EMYAzu8ARMv/kRmG604qOv/j5wTYYhM9hnefxlEMIHYXigaB3JbxXFC5drBbp7PpwpIwAwBl2VocQjBgwo0/BJYfilEGa6FgGaDta6KDl05cyMRh1SbXBrLdCdMlwOByBJsIGhRZHQEQxDYhxSTEDnEXPTew73Y9yW5u0injOJieZoVEaQB3HMPoEj9hAEmzF9SeoaPI5BdBlL4DW8aQ9MG7nOWTo5SGvklM4o7I4AeFsw+6eCnHrRpehZtgr+gUWlSJDkfZ4tGO5aiUFf8c+Rsg6t5xWdAe7wEdhiExgIm15cShl1pLoraXAGZpOzjkVkpj0edCMc0RDTezN/yCN1QrYpdweELGOybQiS7ULYmAtdPi9WnHFazoKSVHO9WFHy1IpCp9aTU52JGZPUtZrqh+Jck//ebE0Yg1BlhO22sozk5wMZvnQ8HhhuHVziaQ0Qh2RrKTCpl1rOic2RnaYNiIClTS8lGqtofJ7cHPRz2DjHuf2dmS9isvIBoWk7/KEQeiJRnDl5AlnzHRjv9SLWvQZgDBpXwZkKiSe2+afi07kU02MJt9nANSU5GuVg0F178KpjD163v2yOuFp9EAyI8nStCylspueKMdhiAh1jmT08wSIIGRPQl5pObmUIDMwcgztqbmqYcshwaePmrtO0+VytsxPqYAciSgw2IeO80FJc47w8WRY6l6AyDbY0Lx2MSfD7L4SudeYty8Q7fr79KC53HobEzJ1rIV8XoKQMlMQAu2KHo6Ubp5//EbSvXg9F4dA5xx+P/x5n6WM4e4YBqgOxeJgqcxUly/AxBseWLWaIHokDwgAXDEiEgopH6OiNHoLNCOOC0X1m757L5ohSKDnLIDGilxz9AIBxd2vW7yx5XTocqQ0yTGaI+SVATW0KsYK9xY2BNadCkkufTFJVFTZug1/3mz4ni6S9/QPQ9E50dv6x+UWW7P2rT0Vb/6AZrBgxuCLHoYocO0WKoVBkATF7+RcCCOgeTEbcsG8+J/V9gcdI8Yec6FiCY12nYNy7DJIYxComwa0Ay1oyDUrSMQUHVF3O8ENrlUzXadaNVWeL2Ul225S4SLU1dNnQVGcWEWMSuoPDEZYBFyBNOcFlOcPrRDqOkAJ7iEMWQAip4k30AsNMnxXE1fxdQDARj1iQDsOYrxUujwPc4Zx9YzINhhbjOE6JyHDEpnNet1RW4FAkyBEDU1l3J5CyKnOb0KAbGiRwMGUCdswA02YDatfsmIn3DgUDDPswgL2IsdyuhhJPVgSweEZgMpa94M8Q87ZA8nqBk4kXX6QW4jiDgihi5gkTaLIGj8djbk1nIYABhhREu3Cipc2XfKrOecGOSlQxgCAQlLLkyezc5oXHR582xQabrwOyvi/5vUfMYEg/gROiDxHJDMuSqbEBJqJwxMyNG4rPB7m9HZgMJyV2RRRMqifAmKmHQ4SxLHQEy6LjmOACPknAaPeD730PAZcf7PjR5NOTMgKQnP2wyx2Yse82vf5nNz6MJbsvXGKQFAY1Ec1AAAFlCAIyenquxsEJFI09Ep7tlT+drIPSmzZtQiQSwe9+97viE0tDVVvR0/0RAEB4bGrW773LzTOG8m9fBudhGEYMMjM3tlid6pySo4ABBB0TwDGWUWe4bsux4TI183FRaxTvjJ9Aa2waMy4PtMWLEdm7F5E5OguJJkhwCUFHK/T4caUrcCj+upyK2Y7Ossj1WhSo8LrEcYbXCaXDDj3f6DUH/T47zve1Y1zst3hHdQ0jjfiyiLEQApFJMGcIsk9D1K4BAhh1SAhpNkS0eCRiAIJxKDGOrkBqUTwxXRWTdERbh83pQwAsfmQhcSRBwIAhYgiJNKMVL/uookDY0qOGmbu1srHhOLziHSiYhsTCSM7FxZEYh4PH45JBQAgV2bG+OjqmkHgbnJqABAab5jE9i2T0HtOFNP+LejYiJG/EjLwxZ156JG6OmdM8uMSYkRF3iytpLztjWOtbgdX+1RBg6A4dg2pEwYSALBg8shu6npkv4DGEun4P+/r29CwsSLBF4KgtYjoRSDu0LmBp5TLjpYkaifLMfaeR8AKb9rN/4i30hV+cdW36Gp85/ZT4HIFAqu7YGbBu+7WQzrkSkLXkZpt0YomRG1eSz0yJEF9HcznBJY6IFoSsx9CxRMro1QumIKAugqZ1wOnNvYuwEANTx+GfmYy7SJsbXdfhcqXOjxbqvJQDDhU82gFZdEPTzCljq4eoA1IMb9qP4GhP6iiN0HXI/jYwLTuvMj0jdGsCK30Rs0wUc1lF9vshedzJa3KeWIl/6fFoEJoEb9ydXmKEXynWex04rcs994VpcMbR7bVlbAoDUMpG34pAhi+LqT4/ZDYK1jIJSZbxRpeGo50xjCtRTLp8MKTMbdsGUr76uDAbRR73fyn01PqLO/waFD4DVYrGK7WIe9UvUBPyvIM87biBjFB8QtbIcVv6ayxgCCcizJv8rCAKlytsbgIBYFeBVqcGe2sPmJq5xTkbc2emDGnZueC2FrguunDWNdLmM2HYFDAIGMJAQEwhymMQYDAmvTAmPLDZnRkyS4oNkqSACQGbEYIMM2JDPJJh7mziImmk52q2EjHgjBwXWg0AzTngsAtoqgyfM0c+xZ8dP6ObNF8XH34K54z8AvZQIKec6Q29SE7TCnCMJ92aJZPgHAODXgz1OyHHpyMT99sMgTfdEkIQ2CenCRRH1kJQNAbPMh+cTieCjmlonsmMSY1s+fx9LvSf0opV78u9mSYXsmHAHZrJ8MeZjsRyz2iUm3x1or9zAOAMbq017VqLIw8GzEiR5BS8HI96r9pmH6TPhaRIUH1uqG5nWqe2cNoJw9fX48TiZT6sObcP6y4asCBr2nPLHOV8qV2HxjmW2PW5L06Kk7YEUaMpUDJ8QGqKCwyGqiDg9yHiNAvS4AJhGyB5nWaBZfifNB1UT0Zc5iEAIUNhatqvKWQRgsKnAZbWvDGAxZ8X4eGkDLmwJbf3x2PrZQ4iMu8qUJei3Ii7QzbHLk7XSrgcy1JySszSwnNihMOdTjjPOw/60qWzrnF3dkNwBYwxCMYQFondbQws7IAUssNni09RLjoX6FgFyCqQdq5y9jglkT4QUsw8Odk6mEfGfLKndi9mY/VFXDQksGa1v+C6B2cMtvgbxpiAZkTgjM6eekswE5uBgIEZI4hI/AyiPXQQntg4Nh6ZmSWZxBlczkwv/17B4DXMiO6yV0dHlq9KMIDLMXQut0GyWZ+6Ypyhc8gNh9vayI8xBp4Remc2OutFi1iHVvFHs+4FkNxsNH9yl1FfWx8W2ZeiKy10UUlb6pl5X6vsxPruVZbvsbtV2FypndRzdd0SoydJYmj12aC6NShqZhlmyx/r8MNwucB0HZK7FTnfCisq57lGlzhu62/HtnaPhYeYXm0419Fn96C396NFClE+yPBlIGZ/in8V0SXsdx7DtPJ28nc57hVfMjToYRvkmA6eOCcXL0dVURDVNYS9HkgOB6am3DAEx0jc5yFHDEEthHF1DICAoUxDsBhUPXP9SZM0nBbqwXljbcnGeSzmhDAYosi1td8UXFeSLW/yn4SWqgAUucU06C5z12pEaUX6OCUv6W1pvpfC5YJicyDGFURZau0o8WSJ8+ThXdi9gM2LpFXPehEYBCQuw+VyobfXbKhikoJj7k6MdK8tLGv6cxjLHFmlp2B1xBcXkTGWcT+Q2OOQkl3jlvoRAAADBo6GRnAyNoYIMz3fyOEJ7Hz5MbQcGQCPpRo5HnebxgBMK0FMsQDCLIylQsJQRKBjykC3pkDjDO7gEjDI0BLT7mBZsie6GOVtfBT1JFTtKHy95nR+q5K5hsUYgwtroWc5vzv77LNx1llnQeL5DXMx06D5tLpwZSc0ZsNqT2rkWarhA8wNYaUch2BS6gA7k/LfX2jzZT6EzYbguefAddFFkNt7ctdxS4avgEFmuc7g5S4fjyzBp8rY2L4Eqtqa85pqQIYvC42bI7CUF5/4RJXCMSOHEWNGfAu82VBwsHjEdcyqQLLEYbfb4G9vh/3szZC8XkwEWvFezJHcxQkAETVsRnPmEShyFK290/B1zT4E1cJ8aI2letwTigsn4IbQsrZvM0CSOVSbDFnicGhycn1IFjL6IgJOA+jT03rvvkWAowMhrSdnJc+eSpTybPaZdR9nCSsBgCXjCwJAF8xRrt+VkoMlFEDKhyiA5Mrk0qVLMTw8nPxesByWZS4LJnL+CSC/T8p0bGpKrpwpMWDGFkZIjSDIZ5/hKiyagGCZU+ByBAhGAAem0XV0KTqDF2dMF43ZJrFXehtgDAoY2tPOdgICsrDBFhqCyuyQ9RlwOYqWztmjqYwRNbduWHLqIczYfYo6gRU8gG3tXlzdZa2hk2UZap6p9u7h5eBcQu+KU+YlHwAs63Th8t5WrHSnOo7FGf9422DlXdDMaww+e/sJk2W4P3gZlM4OSD7vrN9b49PpyzstxKubtX0UgKIkZcy3YW7u55Z226zHMAaHJEHJftGqfLyBdnVmITHArgtwTQDhzGHNSRlQpSi6IkA07aegFIRoC+GA3YnlAXOKS5U5FMls7J1OBxCN5dwsEuIcaiJeGhPY4DkJm+bOXQ9Yql8edboRkqcRsimwH8za3CDJUOwyjg060A0glvChHf/HY0hwG4BNNtN1OVcC7FeArAHhzB2REmeQJA4pypKfhYivacThttxTUt0e26zvhMzw+hIfevb3YwmfwdouG9Zt6MXbb76eEpAxQHBIUgwnJTeU2Az2SV3w5TVYaVmUK8uyZciY6kwb/c3R1ne5dURjIWhSyk2ikeemKVcQXLKBHU0TihmZ0wj5pGcCBhOQ0opVALDpexAUHQBm5+tcJDoUsn0aqgpIcu5RvdE3AVnV0dO7CG8dPohWff69cgnAsGP2GpDa60T0RHCWS7BCDJ66AQNr1lkzNgCYNHv2IB0l/pzV6noEpEPY0rfFsiyJ53JJhqez24y2UUCO8c5xOI+egI4O8PRjGpIMdWAAnp4esH/8OYDMunj16f2YCEbQ5tRgGHMcuyg0MmvRwGyLYGu3IRo+AowcyNDDOuVbJ6zVcT4yfABmna/K+jXxWTBAcIYYYggnfBRGzSw84TyCt10zWB4YMEdcueYl0g1f/BiDYBpa5E4cCZme4JNRq+eSWFJwvKsVOHoCSDrg5TBUW3Lf84RTQdQhIRoEPBrDuMKhJ5URULkdXV1XQJd8AH6VM0c4YwgqM0AqcHvc/jI4NnQgemwG6kDunuiiNgfepxtQZo6nnsgYTvQ4gJM2cAB9DgW6kuVSKnH+T5vBzxzrcDzshn16Ct7o3FNRVt4jp8sJnJxM2b0cneRceNxuTE+PQdMZZB4Fg+lB//WMq1IPtOm9CExOQLAXACkIwUMQeVw4uo0wjgtACpsjRIM74oaPwYhp+edmCozO0yXK1nD2yIYBDBAdATgWdWCVaIfX4YPfljve3VxYmTJUOhxwblLydpzyPtui0QMA2W9H0B3DMSlQ8LpF8jKcfsrWkt1m6U4XxPgca6bxDb6A6UNU9vigOZxgcjzgMGPocnAcDhjoSltLVWWONqeFzoGeufPS5WvDOAB3eycQBuQ2G2yr26CPuhB4M+18igWVi8+XPNfnsZkSt745phzQVGdO0gotT0HZoxJUONE2bVbIHsmOmDIDSVh9iQUm5KgZVkS1IcIUBGY8aD0xtyeEQoVmILWWBiDZMDq4gcUKsEQBFCagcPO8nM3WlzFtFr8p9QAGzEghvNCyB7blmdNPsk+HvtQb71XPhjGGXlnAocaneeKhg0SacVddOeKlyQoimgN2FoJdi2A8EbgNJa7BZOH3Jxrz9HIWc474Wltb0dXVBs6AK10H8cmBDigJv6tOZm6EUtN9X3JEgj4AHEwSyHmgM45dxCAzAS0wCYSyG+nZJZ4uKyu4Fjb7m3w5mOkrgaHH2TPLgXG5kZxq3vpTDhhnOLZ4Bsc7chu+rmEPAKCtdx4RwJOdySJuYQy+7l443J6kw3EAWN8u4VS/jItP6ShwdxbrrgOWXwK0dGUU4sDa9Vi0fiOWbjo7lW4pC4VAph3TXHkvm5vMTPK3nQ9d74OqltbBKhUa8eUgNShipleN+HBnhpvn3AQEFMNAT0zFpNcOe3QKi10RDAeH0aaM4ziTIOnTsx7a2tuPI4dH8Ka8B6/YBvCudgJS0jUzBwSDJOYukuwgsUaLG8Y0B1rcMAwFJ8fXYUp2wZW+54UJOOLtJ2ei4LxeNIe3jIA8A6akT9Vaf4EY5xCKgpDdBiACwYD27hFIYQfa1g4BAHp6ejAyMgKfz4fIQSCm6lCMCBQRRTRtJ22uxin9OytSiSw3TCYGrLVc5lhJYkgaPQCIuTmCE1HT08gsIeaWShYCSlRAyefUX473iNXZazSKzYGozwmnaxgnLWiQkMmYNRas0bxThSlk0HqXeuHtsMNucbdqLqzUGkXVgPRNrukiJWNJMigSw6CbQZeLGJN4+s3/spAVBZ2Lh3PcUALp8q66AnjzCaB/U4EbcudK9req5ofNZv2ITLkgwzcHzO6B3+/FPl1FaPxNgGmQYlHY4zvkWhw62qYnwRkgg8OpHUHQNgKMzjYeusOJjt5+GPo+7LEfBuO2HGs+czc+bqRvmBCAzYagtgpR2wzejq5BOLgYgaiGzH5Z6rkGk8FFBDEl8wrDO4TgeD+OaCHIoRGEMQ45lmcEW9LUh3lPmMmwt0bg0mPg8XXGlpYWnHXWWZBlGS+dPIj0ODiReDBVJvOyjPjcWmpKKLUHRMyKwJ6LxG7KQqR3CpyKkVwQzO6wZKOxfI0vM0d1HauAoA+zJi8ZQ6TTC13rmi1LYicW0v7N1XloUKM3F4wzOL3zm2YL9tmAdxi4M88hbwEoug1L156F8aefmS1D2lRnAqlAjLyCWHw/cu2BsXyD3QesvboosfI+tkb1jqY6gcx2xHSRgaDmQUS2g8sq/N194K4WcEmGkB3oiNjgk3PsfmTJ/+WFMYbLxFIogkNCohEtbsTiQBTvZzNY1HkcABCRJgEm47jchgNYChvn2NTvxYfWpzu/TY2awtyOoOSEkRhFJPRwdeOk5zwIxqHCAzXWivbobOfcQGnL2wndYozjnZ4PYHTJVWln9kwfjZxzrDm3F5It1SdTEQW4gOSYexrZSv59YOgDcAs/lhgbUl9aPMvAuQ6naxm6ui63lHKbHoMqImZ8QQaMuTW8sHL2hhEBQON2KJKOybj3ksTB92DYjbVqML52m0qHq6ZP2YAtVECC7B+az8RVWuNwhw7XlRfDcdYHCl7X1j8IWYl7bVVSuzuTsRUZw4oVK7B06dLZHopy4Mh59CGtLclhBLlWnEFVOuxgnEHpsnYw3yrpHnpqAY340kivJifcizAVlJBe/Rgzw4mMww2DqTik2dETTYX5kHOFRM6RSAt0KIaMSI4xgNUBjTseQwxgCEtjYGIEEfm95O+DXjv6W+04mEs5Zvp6iUm5Q/sAgE9rxXhIgl2yYzrnBNr8GpOo7ICh5PFFylnqfB8AD6agyyGs7fOUZXOLW3NjQCQOGicOlBuWRnyA6ZXeZps9tZQLDkCJCggRRVgwHPfqGI3ocCPzcLfGgmDMCY0LxGQZTCjgIgY9JiFs2GCzj816tuP0ToQPTeGgMgYcsdrAF9ga26AWsRqmXmr1IibLEEbhDlRsyQmwKRXCHgAS52+lVDPc2dk5Z1qXuG3Yp2i4sM26GzHHunYYM9FknMkMCmSPbXWb6XGt1LXBRPpxg7ukvxuIhtHd1zfHHZWFDF8RJMzUqNKDk74L0Na2Fzg8Aolx+FUFf+x+GzMBGTZFzrGRIb712Z7f2JhXWatgnCeMLIsfkwtCTXMiq7mU9GQR4TEYkgFDNjCpdoBHp+Gwted9vi7pMHQXWMA8zjBb0OJfhMQUoBJ3+zYwkN/dEuccRnz3nqFw6CIMm5ovoOg8SGzCzHHMwOFYDNmYgZ0NZnxfrAiGIUNEVRiSAdkwdffJqXqguScgOxVIY3+AXT4GwAz0qUVV6CKCadWAQwklz2IC8c6BXYG22IPY4cKNbWrqtUEt2xxUKsCpkNNGbYzlnjXITtoTgvCEgJNpIzO5uFFYvyrjtHZvTv+9+VSV24o/AmM+j5Wl2vzJWUMYC7wLVZYA6EnZqxl8Nh2a6pzF7PW2bGMU9HTijy+5DG6vL3mPW5YwaJtBmyMGRWJ5N3/IHR2wrVmNqJ67IhaqBgyATY5Bl2JQ4oe7BWNgnENSNfQODIKtaoWxxAXFJs+6OWKPIKbGEOMKgpIr7S3J2M6X/NPhcMDb0pLTLVcxm1sSdySw6RrOOOMM+Hy+vFczACecDgR0DWAy2uIu23JubsmYKi5RrhxhaWTZhfb2i6FpmTvscqWREZUmV37FL/BF/HCxHizTU7vYtLYxtKyfxIS6P+5RhUGKtoAJhp5gml9DyYCt/ThsQxKYnKvhyEw3pOTKi/w5VM6RUf/qUwEArrbq7tarBu39MdicEYQ9R+e8lusSJIcCLc+RHwBgpa7nzYv89aYSKBKPG736gAwfrK9XJRp7wTnc7R2pBk41578NRZ2zb80Yh75ypelxpARkLqDyLIdNjEOSFLhaW+Fo8wE55/FzaDmn4qzA6Kb4l0XnHAoApyzN7YeRS2bEdsbAIEFlmRsAXEa+7Y9AQjGVpzbUZCO52sAkBZoWX2eN99at9EDn00mVIMHBOqCyVMeEMUC2ZXp44YYNtoAPjhjDiXBb8nu1JQDVb63uvNemYlznGNPT60NqiJuYTjb/ZVC18h1dcHp96F15Cjwdc0/dVZpyT3XanAKe9hDALSxtgEHpdEBf6s1/iVwun6SwVDkHWgvPOjUDNNVZgOxRTfaKXPJXRxsivQOY7BXAWy/mfpjFd69S6xFhOQpEgIgeSX2Z2FiSa9SQc7CQ+rL4ER+gcsAhS5bu5JyldkNyIBG7N2GY1kQCeHP6GDpdDEBmlO51QkFMGJALNAKKtxvC0wU+MgI5frxDU83XQZadiEanYLcvASJ5H5EbS9nCYZNnj/gTtyZqWURIGIm2YyQ8iWUFHq7ZTUfVDreWIW9E5hjrsCEynWlUTbMn4FDc8DoGMa564bMHIPG5RzDFUKtprHohqpslmXNjSNq0aLFTnfNlVXcLnIvb4DseN4BNWEw04gMgtaiYtk0jpmX5x8x13CtHJWFMQrRtEEJNbYUpOJhiDIxl9vKsjACz/Uqmo0m5g9EmGLdPY9pj/gd7G4SsAe7egvcUIiYXtwU8sUPRKkln3wByxb9UIbBk6gDcYnYEAFUAuoW0Eg3zR3pPwOuMYemwDwxAb+9H0dt7Xenni+Jlmc+FVe6zfhkPAGBOn8ZE5k7OXHCJoXuJB0tOa8emReb08a1bFuHDZ/ZDzfLez1m8ayXMUE5d3g1w2boa2khVR7fZTs4nuwTsq9ugL8sx2kubWi/rVGeGd6jcrRBjDANttviMSIVQ6ntUSSM+ALJXR8ARgM5ngKyoMelVY9Yop8ALxaWEz8vcla+FrUOA7YGNDUFiGmLyG4ARhut978fRN/fmvCc9NSN+qNvh3Qs5ZEO3/iaA/JtFBDcQ0eLDAdUOAwogzZ5iydZRs9mBNKcXYcUBbkQw5rRqNOPrpAW8luS8S+IQOcJJl7sRE5KGdi2K4V4ViK+Lcq5BVfMfaJ5LhoH+HTiyZxSc5Z7CmksDEW+QAnYJETDsX3oqYMx2Wp7xTG5GBtg45EObHMKiPj9OxAw4NRltuoJ+puOwS8dhEc64zx7fuFTMeWkiFznWdSVA6cxzDCB992eFDF9NOPVa4J3/D1h6EXCycJ0FqrPjNhdU3QtSeKozF+7OGehOBZKSnbWZz5JZC9zsdKisDZD9ABhiqgZtuLCnBYOZAWynJNPX3rhDh8v9LiSFW65Erp4BSKqK1qElOWVLR3M6YW9xw+Uz15neDQ3jhOjEPvd6S2n5erqh2GToPDOVXFN96eQL71L23nvv6UDnaqBjpfn8MjyScw08Hvnc5jQ7G2bEBZNYnk5AZLAFhkNGOG6ADQk40N2HySI2iDDG4NLlVDQNxjDcYkeHTYOctjs3sb4nM4aNbgdu8I4WoeHCou5PLtbaWJUT7wCw/nrAmX/HeD1AI74imcv0SaoBVcgIIZz/ogIVvVDDHuR2CHYcMRaFYAKCMfzGvQkiLGOlGIPVUz3Orh7A5YaS3FlawHOMAOS00c+04cJ02IWYRR+OthYXfH0+hEZOQHe4MKB2wOncPKcPSJ7ufzLdL2W5GwnNCay4FHjnsOVbipFAVmIAD0HwGEI8iCN6MLnDMx0JCqI9nYiKCSBUmo7ZDXzuz14wuMF5aipK5gwyK345c6FQjalOMw3rsxrp29PKKl/6s6yKUyW7q/htiBydyT8KriI04ksju/wFMs+wWNnQEXGZI6NpvbBnAmfYNIyKEbPsNeSk1IGTbCVGxJnJ76KaAy91XoCwzW9OM+RBGNkx+6zVdluBUCtW4VyCardDszuhMx0e2TP3PUWM+GZHIyg9bIqVXMmVdRmDuAKxxvIHJGIA1gMYLGnjkJlM4fs227rAWRtW2y/MKUGjokvV9fy/MKhWZyCF7ZQ22Nf6YVuZ/xhTtaARXw7yN05Zv6Q7R47/OTW0Gi/4JPS//EL+BBjDucYUfjfFcQoL47BiMRAm45hgw2CYBnAEnDPozhZEOcfRoW0Y8A4AeCPjFpt+Hmam9yIWkYC8y1ZpDXOWg+pFtqWIBY+hQy7CW3wZmGX44ute5XZ1pFVkcSuzDGMs4Yg8R9m2LgHsPhg2P9jRmVn3mm7Kcgc6LpZTNT/G+GqIMnRmrODweBEYOwm7u8BW/ipwVs9ZmI5O45TW+QevTSdjzxuTUdSYuXwh7TLJMDaVSqQ0mMyhtNfHphcyfFlkhWcruCU+F4yxZPidzB8yPy73aOieDsGh6TiSNvVVzHqETVcQmyM2mSR1xMMOvVXgIhkY2ARjOgTjncxGUWIyTrHlaDAsi1ni6CVLL6W3DWefffbc5/8sJn/Z2i48/+5JXLiyw9L1RV6SRDAz8oYAyxn1ApICbNwJEYlAP/gzTLz3LgyZAzHzIDsr8bxnNofarsDQqV0QL75TludZYflZW3Dk7TfRsahMEQJKxKE4sG3Jtoo8e0bphmQEoWldCGF/RdIgyk/Fpjq/8pWvYPPmzbDb7fB4PDmv2b9/Py655BLY7Xa0t7fjM5/5DKLRHFv5asCpLjsGbDpYwUPcpcKSmxA4A9ocGmTOoCuSeX6tIuTYdZY+xbpoC4yh8yqUdvFIaYaPQZiOcos1egVY0u7CNRv74bEXf2g715SiSPfTmva7oUUQ4jFM80j+/nf8elm3oWPtaYj0Fxcip1VvhSqpaLO1ZXyfLmVE8QPewSyZ09aZKjD1pdnt6D9lLbQ53PQtZKaVQUxqy+vmOIh1KTIWzisgSX1TsRFfOBzGVVddhU2bNuE73/nOrN9jsRguueQSdHZ24tlnn8Xhw4dxww03QFEU/M3f/E2lxLKMwhkkxoqeLbD8AojMxW27VkpRFCNcvUx7WJODIe2sWxVfzLIbAAYEpDDAo7DSLEmqGvdYwwGBeNimcEHZrlp2FYQQkLgEw7DiTYRoWDI2t9TLO5+fhvPVec899+COO+7A6tWrc/7+xBNP4NVXX8W//uu/4tRTT8UHPvABfPnLX8bf//3fIxwusCOyBvgcVkYFcxRgw/WqStHH+j1S2sh3jtncqm9Xn7soc19Q3BSpafxYrmnzLDjjkApEYQcasPoRxDyo2Rrfr3/9a6xevRodHak1losuugi33HILXnnlFaxbty7nfaFQCKFQygXTxIR5ns0wjJJ7u4ZhhqQRIhWZXAiB0wd94I4OdLg0iOMi1YES8XvMC+NBTEVy6nDYMwybusfcTSZSU4qpf42M64Uw0nwlp743DJHUyTCMnD24xFdCiLgemfcm08kph8jIs6Rc5sVQuC1DTsNIywMIS/mdfF4i48TsdHNh9gTjZ9E4knme8VyBpHyJ3xKfTWf5CdnNawulmcyTrHqUXh758o1znlYQgCGMtGvzJZgpT3rZZd+T0EMgUc8MII8uiecYhgFDGBl10zAMtLe349ixY2hvb8f+6XCGTqlyro9RI0vLCGFB32phGCKj/qXLARTOy+TyQon5PZe+2Wnnvw6pNkeU3nZakTXxd045jPz5UGzZFqNDzQzfyMhIhtEDkPw8MjKS9757770X99xzz6zvjx49imBwtvsqKxiGgWAwiBkWRCwWgxGLIRgMQtOC8LAZjI7OIBAIJCtIzDAwOjqK6elpRCMRhKIhTExMIMhNFyer21djRn0B04FphEIhBALm94l/IydOYiowlXyZp9k0YnGny8eOHk9ed/zYMQTjHh6CU5MIRyIwjBh4/IWLxWIwpBhisRg4VzE6Opq698RxtGAaExMTCAQCphzxQ9RB3fw8NjaG0dHUweXwTAyBQADrxWaMiN3o4msxOTkFNWQ+8yQAIy5nKBjKuDcf0elpRMIRIBZDOBxBjAkEAoE5742EUzvkDEMgHAln3BMIBBCJhBEOBjE5MZn8LRYIIBIx740EApiZiSXXjQulmci3kyyG0WDKfc+JmTACAbOjJcev0USmLL29vRg98oZZHlEjoxwikbC5YSrNmAkIhMOZz4hEIsl7jDQH3LGYkfxNnwmCBwIInTyJiJpbF8MwMD4+DiEEJgwgGAxCiUQwPT2N0dFRtLa2wufzYWxsDCcDIQSmzdmVSWkK0WhgznyqJs5AymXQVB6Z0vXNFaanEkxOTiIYCCCMcLLMRkdHYchhiPEIwiyK6UA4+X06yTKemYGa+LuI/J5LXxGNIRh/bvj4Cch5ni2dPAEtYsp48tgxML38/kLHT5zIyJ9cnJjMf02xZTs5OWlZtqIM31133YX77ruv4DV79uzB8uXLi3lsUXz+85/HnXfemfw8MTGBvr4++P1+tLTkD/1RCMMwoOs67JINp/AZhNwydFcLnM5++P2mBwLHtIFpxs0QQJyhvb0d7QfacUzZi6XoREtLCySH2WC2t7fjmMPcHalpGhD/2+EwK5qr1QfHIUfS8NltdkiTUvxePw7Fr29ta0NL3GvHtK5BVRRwLsXj7zFIXMLAwACCwSDWrhgC5xwOx7h5r68V7e1OjI6OIhwOI6BpcDjM80ySwwHGGNxuN9rbUx4WQtMRHHYE4YADK5UucInD5ZqBLJtye72+5MFyTdcy7s3HSfsJRGMKDEmCqqqIQYbD4ZjzXodux0Tc/nDOoSpKxj0OhwPKpApJ19HS0pL8bcIRhKIoYAxQHQ6IsAp5QoaiqAXTdEybZeHztaDdldqM4ZuYhkOYswqyw7zG5Zz9rIN7O9A21oa2tja0tbdjnyPusSWiYhrImOdkYFDVzGeEw2E44uXun9EQH+RCkjgURYHD4YDNpkN2OGD3eoE8uhiGAcYY/H4/1JgBXZ8CVwQc8Q1k6XhOTsHBzEx2KU6Ew6aBt1Ku1YA5UjuM7Rb0rZbhO+xyQTKiUCNqssza29theFoRPRyAa2QKbCaQ/D6dQMC8PhKYSt7bVkR+z6WviMVwPP5cp88LPc+zRXQEkXg0eHtbG7i9jBEi4kjhYLIdzFenxpVxOKZyX1Ns2VqJWp+gKMP36U9/Gtu3by94zaJFiwr+nqCzsxPPPfdcxndHjhxJ/pYPTdNMY5IF53xeFT9hTJySgV55OSZbToHPd1ZGwMRkTEZmpvfhxVdg72+Oo0u4IFhqoZZznlq0Tfs+/V9m/pC8JtEwSlxKew5Lpq/pNoAxRHkMCoAwCwFMhyzLcDqdkGU5I43EvabcLKlf5jWZecYYz5Qx7b/EM1MiM0v5ndQ1ka4w/53rXiltbUuk5XnGc+M6sbR8Spc3lbZ5baE08+YJZ3PmW+I3m2KDLuvxzkla2Rq5TrxnypNeZyTGIIEl94mmyoEn/y208JnIXy4ApJXhLJnTdcuod3Xi1yL9nKwVfaskd653inMOrnPIQx7w4xJYMHdeZr9fua6xkn4+fUXc+ThgOiTP92yRbMzm33bmI71O53v+XNcUU7bF6FCU4fP7/fD7yxNYctOmTfjKV76C0dHRpKV/8skn0dLSgpUrV5YljeIxC0BnTuj+8/P+nkCXNHQLc5SZ19tGrqDMBXca5P5N0XW09Q5gyi8w/trr0IverFDe3Q2V3o2V4bJsQWzMyL+DLnjQDd09nvqCFbwclVC47v1VEuXB8nuZdl0lozTUKRVb49u/fz9OnDiB/fv3IxaL4cUXXwQALFmyBE6nExdeeCFWrlyJ66+/Hl/72tcwMjKCL3zhC7jttttyjuiqR+EtwJkBYEuvMPlChhRqn2wtLeAzUQiefczeUorWZUiTo6enByf2TaKnpweIbySqBum9t2I3ZUtcSq6ZFouVXM1V7FHZDoOrEIoD4JmvlQjHR+MQkI0wBqOHSpKNaCCq4rmlwGUSg+zRASHA9dr5MalVh6xiGn/xi1/EP/3TPyU/J3Zp/uIXv8CWLVsgSRIee+wx3HLLLdi0aRMcDgduvPFG/NVf/VWlRKofZlXO0g4SS2XuqeV6Z/rbPVjRexYYY5j5wx/Kml5BWebYnp9xbVaerfQvxjsn38OqU0/FM0+9Wm7RcpcRk7C/bxv04aVwp0/RZV2mGVPQYmMAy+9SPG8wqyKLmwEwOjRIh2fg8NayM9lc1Mth9oIdWwCyr3l9mFbM8D366KN49NFHC14zMDCAH//4x5USoQSKPq0+5yVtvf04BGDR+o3Aj3+aM61iPWi02nyQ5Gm4mHfOa10uF44dO4ZiW82Pn7MIMcbgLOlgfS6KG6VK6e69imxInJoDa7pXoMU7d/7MhVbM2geTUlHtCzBXLSvruWOngsjGViwdqq6v1WZmLoNTSerF6Fql29kNAHAqzqqmS746syi5yuapb+6OLvT+8TbIqoqj+Gnui4pE4za0MDdkNncvvq+vz9y0Ew4gMmGuM3k8HgQCAXR3d+e9T1ckyLlCnxdNdo5ay2GJS3GDx6CquaupXbYjBGCZb9m8JEwnuxiXO3S8NW1Dr67gv/ea26Xn1bYwBl7t6R2Vg0kLq0EkykD9O26BXbFjx+odkFl1TREZvgzmbhx45iJf3uv0U1Yh+PIrcJx5BmQ1y/NLoalOC60qs3gdAEiSeeRh4u3Xk77j165di7a2NrjdmdNtxXRUK92zlLgEyQiBwYCOKHJV1eWtK9DaP4xhT+WcIEuM4YPtHgDAf8e/K7g1KStf0j9JTIYLGmZko2CjNHcxlL9Fo80v1ilP1V8AVqlKaFL1p+HJ8Fnkuq5WPGQI2GPWKqxzyxY4Nm0Ct3C2RGPmuTEm8sehKyeMmefICl6Tcx2reo2jxCVwIwJmRIA8A0+JcXg0T2EjXMK62JzXlJgNURlQ9AjCkcIeJnIFqo2nXFR6GSECybARRBIyfNnkGfZ06ypaopnOTQu2t4yBWTxQyZmEVcbZ8UgQtWugikm6NCmt38WllLWbT2DZuoIBXDaqFuo8vSrnynlbvZzXa0aqUaUXgJPqWkGGrwhm9ZpLNVI57pOoKDKQytQBsCvlD7pa/OiJgUMCZ3ZELdxbifYqV6prXXYcCkWwyK4B4zQitEpj2JPmLm/q8tUI3WkefOdcWpgvkmXDlO1x2dpdnKWP+ErHq3nQ7+zDylZrThEqNeJmkKEwW8rRQVYysixDlmVIkmQhb63JmDHVmeMWmTNc1u7BKqfN0vOqTu/p5r+d5Y2c3jwUeHP8m4M43wAAKN5JREFUywC7D+haW7HUNUd1d2oWAw0zisDlUoAZQEnsdiy5kWRYcc4WvPfKbvQsW4mXnn2jbDLmT7E2PTymmXklWHGH38vlQokxBq/qhV0uYzDUAlnpdOZ/2TNuy2qTOOfYvHkzAOD73/8VGCtk7ovvCizI/v3i88wGuiX/7uNa0ho/i6lKxQczrvnmFkkBNu6s6Lq90+vD8MbN0Ozln3WZL2T4iqC9zQ5HWIee62xbkfXY5nRh6RlnlShJ8ZW1Vutk2noXjFcmENuzD0AHLAeiTffcUkXRLW1uyfHdxo0bEQwGZzlK5wDckWnIsXDSb2g+pPi6pgDg1McwEXSjtdMOBMcsSp9JUedD6/H8F+eAp6/WUuRltbQEjs5VGPZWblfxvJjrxalCmfsHhiqeRimQ4SsCzjns6V7M0yqOzT6IAA5Bll3zS8RCXWSz/qgAc7aT1hLnugTRGQBYcS7E5uOyDEDVhzgOhyPpbT8bCTFwCOTdrJmFAIMsReFwjMHmUIDSom1lUIdmbcGjMBmndZ5WazGIEiDDVwRdmoIwAHuOaThd70Rvx0etGT5qheaEWTzWYW/J7/qrpHStXFNqT9ni0NVuX4QY3kMIZZyeJQgiCRm+Iji1xY5jYzpac63xCQFVba2KHLwep6XykdbYmwbD4lRn2uYWFbNjha3+o4swPTYGd0f+EFaVotK5z7mOGNyzp6eLTDjjOMNcI3jqjVUXOs5QU8jwFYHCGLq03FOd1WB4eBhHD59AeG8VvPtX6p2x+DJKjEE2PJCEBvMEe+ZUqcvXBpevrfzyWWB+xW7h5jLlfeYBdoIgEtBxhmyq0Esqdaqst7cXixcNW7q/0mpY16BEQSRujkIEh8yr13P1lMU/6fwQZTJZZPiaHBrx5YVGfPMgc3v6PCpZFUaORU9l1bil5EyCTQFkbkCVCrv4ykmR8l/T1YrxaAxd2txb0+dTXFZqSSWaq7k7S2QaieaBDF8doLvbwI4dhWRrmftii2S3c0UfZ8hxubZ4MQAg4PWVKpX1KyUGiQMSr06T3Kur6K14KsySVcvfhyrWVyf1+AkiF2T4siiqqSiTyzLGJWid5lmgcm0yqMQsB3c48Nq5fwTBOTzlf3xmWqz2U475mE8ZGcLUK4b8sQLzlZ1oXQlo00DnmpLTJ5qHWsYFrHdoja9cFFHJpKxwQO8b9gMA1g/MP3BqpRGWXGrlh1mNx1eucV4Fhovzmeo8EViE8Zk+BHF20fcavecAZ94KKNacn7dIxXQeaKqzXAwNmYe2C8W7rLnnliaHRnzzocgW0Hv1R2AEg5A8nozv+1vtuO3cJVBlDmGUsJ5VA6xu0Cm118mk+fbJ6rMhjxk6RidXoA8lunEqos45ZAnXdbVC4fWZF41Ka2srzj77bMgyNa/1CpVMFZH9/ry/qXLjD76L6SdILDssUWM03pY2t4j0v4s4jJeDbr0UP5LEfFGU2WdPqw4NKvPS+K1tJUlriGg+vbwkXJY5jFDdmbz5RXAw72215+9zpm9KqVqHqN4yudFZSE4oGhAa8aURUnymX0TJYrbUuvLWMnnLaZc41Rk3fOuC7+Kw6sEHUVx0h0oyn2xf6YrCHYtibWd+d2QCgN+l4fB0CMPtLmB0HgkSZacckUNkfzvk9naoQ4PzFygv1BnPB4340ohJOkY6tgKbP1n8zeWqY7U2pmWntIzh3JzqtIkI3hc9hN5yeGquAxySafxkKX859/gMaDLH0g4JNlVGWyRcRQmJuVh82hlQbXYs3nBGyc9gkgTvRz4Mx8aNZZSMsAqN+OJ0LV+FiffexaIztgCyxXWRhjNS1rG6pV+WS3MizdOcVBulGM8KFs08wjBaYrBdIMqn4NBjuL7bh+DJkRITtA756rSOw+PFaZdeXmsxiHlAhi+Of2gJVpx+BmS5Dhala4SiywBj4BzgcnkaQkVpQWfnNoy3BDE9fdLyfRJP29xiNZ5PlZifkZj7XsaAFofpm7RFlhCZR2pEE0P7DvJChi8Nzos7NJ25yWHhVzLOGTZ8YMAMlzrHsKaYpt9uH0BAcgCwbvjS05+PB5JyjmS6PToOjQWxuqe8oZCyyatvE88wEEQ5IcNHZCBZPT9X4UaY83TDVzrldNt15YY+TIWicNvmMytg6qWoWnmEKhtkVBsOGvHlhQzfAsaFKCZrLUSF4BlHRWooSBoSZ0UbPSnLe0rn4qVQYysKxhEkH5sEUVnI8NUZxZwR+xAO4Zc2DWd5nBWUqJwU4aQ6PcbvvFKs7UhG1TRwZoZYEgDc/g50dKy3/gCa3iSIskOGr1zUYFjiRxhXdeaOlFDpg8+Vbo/TOwAl7eqsIxhjKZtfhsPvlYEMbMNRL1MldQgZvgZjyzI/jk2F0e/Lf0B6PgzaNBwMhrHcbs1Rcsmkj/hYI73AVoIIN5K+BFF/kOErF3XSWK3rr2yEh25NQbemwCFXOGwQK8/mllqjZoegopEVUSWoA5Uf8txC1DGmkdBK2ERZL0tjLbIEmTHw1FxnTeXJS71kGEFUARrxEXUJY2bgW4QMyPMOUVQ7GACFM0TLYffINhHFQAO+vCzcFqXeoGmF8sMYwKyGrs33jHIJUx5oqpMgag8ZPqIk5heax1ICMKKLIAw7ZNFaygPKLlK1qMXaDBlkopkgw0dUjaJsJQNE5AwYE+cBrJFm5C3s6kwb45I5IkqGZqHyQoavTNAOqjLDUn80VM6y0l+5io+yiYZA7uwAAGjLltZYkvqlkbrSREPB4JAkBAD0YabWwjQBZFQbBc+HPgQRDoPrFT5ru4Ahw0fUJwxY47LBGJ+EDbFaS1M2aC2NqDSMczAyegWhqc5y0VDzcXNTjWk3BgaJocHytrg1PqKx8HhOAwC0uNfWWJLmhkZ8RF2SaVdLMLKNOLCiNb4Fj9e7GU7nMihKKTuViXJBho+oU8rTyNedqbBgvGijVOPCGIOqttVajKaHpjrLBjVWZSVhH9SFEnLJGkWv8dEojyDKDo34iCpSRCOeuLR1EdAuA8OrKyJR9anTNT4ysEQTQSO+ckHTU2Um3hBzBejfBDj9tRWnbMxtYNa0rQEA9Ln6sm4l40QQ5YBGfGWC22y1FqGqVN5lWWUfXzWyN+lYyLdT2k5Bp6MTXt0LxKhDRRDlhgzfPGnZehGix45B6e+vtSiNywJu+xkYnIrAFBeIMGZpjY8xBr/dHOGKWKTSIpppNkxPgyDmhgzfPNGGh6END9dajMYjPQL7PO+vJYwBdkUgSIsKBFE30Ou4wGgWf42Nq+c89GrYPCGI6kIjvgWG06PB5QhBUxvHjdeczGfjUI1txSzRizVeVTN2ZFSJ5oEM3wKDcYYVQ8dqLUZ1WcBrfNnQWhpB1B6a6iyGKh9ZkGSlqukVQylTkdWdqasPAzNb5/qQiyCaGRrx1SFDp56G0Mw0HB5vrUWpDxrqjGSdGj5aPySaiIqN+N59913s2LEDQ0NDsNlsWLx4Me6++26Ew+GM63bv3o1zzjkHuq6jr68PX/va1yol0vypUuPQNbwMg2vWVSUtosJ0rAIAhCW7+ZkMDEHUnIqN+F577TUYhoF/+Id/wJIlS/Dyyy/jpptuQiAQwAMPPAAAmJiYwIUXXojzzz8fDz30EF566SX86Z/+KTweD3bu3Fkp0Uqn3kYezdKI1lm2F4PQPTjmOw0h+QUA81zja5byJogKUzHDt3XrVmzdujX5edGiRXj99dfx7W9/O2n4vvvd7yIcDuORRx6BqqpYtWoVXnzxRTz44IN5DV8oFEIoFEp+npiYAAAYhgHDMEqS1TAMCCHmvl8IsLjxEyWmVQ6SMgCARTmEIZJe/y3rmwOv14sTJ06gu7u7qPuFEBAC8f+spZ0ur9W0EvcIYcT1NPOpVH1LJSWHQKtLxxQARWIwipRDxMsKsJYPpZZtdv1YKMynLi9EmknfYnUtJk+qusY3Pj4On8+X/PzrX/8a73vf+6CqavK7iy66CPfddx9OnjwJr3f2Gte9996Le+65Z9b3R48eRTAYLEkuwzAwPj4OIQQ4zz/7q01MQAkEAABTo6MlpVUOnHEZBGMIWJRjcnISgfh9o6OjlvTNRUdHB7xeLwzDwGgReTATCCAcDiESCSMQCFi6NxaXd+Y4A+MBS+kk7mFRjunRUUxNTZr1Qoii5J0vibweHzfQwiLw6hwyZxg7OYZwyLocIhpDMP6syPHjkNLelVxYrcvZjE9MIBRM1Y+FQqn6LlSaSd9idZ2cnLT87KoZvr179+Kb3/xmcrQHACMjIxgaGsq4rqOjI/lbLsP3+c9/HnfeeWfy88TEBPr6+uD3+9HS0lKSbIZhmG6i/P7CGXy8BWzGAQCwt7eXlFY5YA5TBsEYHBblGHW5gLDZMWhvb7embxk55nBgYmICQgAOhwPtFuSecJjy2nw+KO0OS+kk7uE2Gc72dow4wwhNx+Cw2y2lWS72OUwj4va0wOFwImDTAABerw9ut3U5RCyG4/HybmlthTqHDpbr8ixaEJDMdKqZT/OldH0XJs2kb7G66rpu+dlFG7677roL9913X8Fr9uzZg+XLlyc/Hzx4EFu3bsVVV12Fm266qdgkM9A0DZqmzfqecz6visAYm/sZLOVkmNWy0iVkYBywKEffqtXY8/Qv4O8fAufcmr5lhDGWzL5E2lbuAQAuW5eTJfMmoZ+5qmY1zXKRlAMs/ndclyLzXAiRygcuWc63YtPhXEpLZ2E1qNWuy7WmmfQtRtdi8qNow/fpT38a27dvL3jNokWLkn8fOnQI5557LjZv3oyHH34447rOzk4cOXIk47vE587OzmJFqzwLeHOBt7Mbp1/2IciaVsMI38Xlnz7sQWwsBNlvr5A8tWDh1iGCaBSKNnx+vx9+v7XYaAcPHsS5556LDRs24B//8R9nWeRNmzbhL/7iLxCJRKAo5mHtJ598EsuWLcs5zVlzFviuTiU+FVA7w1cc2qC71iKUDS3sRVgdg9O5tNaiEETTU7Gx8sGDB7Flyxb09/fjgQcewNGjRzEyMoKRkZHkNddeey1UVcWOHTvwyiuvYNeuXfjGN76RsYZHEAuZxPShZ3wZ2o9uhCTV6+iVRqJE81CxzS1PPvkk9u7di71796K3tzfjt8SIw+1244knnsBtt92GDRs2oK2tDV/84hfr8wwfQZRAoq7HVxrn9awFPNNOEHVFxQzf9u3b51wLBIA1a9bg6aefrpQYRJOh+G2IHJ2B2u+qtSgEQdQp5KtzQUNDgGxsa/zQAhFwZ/06+C6Kag3zqCoRTQQZPqKhYJxBchU+5F1NFkpAXVVprbUIBFE1yPARxEKhgkbU7V4HIWKw2forlgZB1Atk+BYyC2MwkWSBDH7KykI5OsKYBK/3jFqLQRBVofGP/hMEQRBEGmT4CIIgiKaCDB9BVJCybm5pxrligqgAZPgWNNQQzkmNs2ihrPERRDNBhq8Yek83//WTv0WiStAojyDKDu3qLIaWLuDsOwB5dlgkgiAIYmFAhq9YFOvBDisOjQbqHlrjI4j6g6Y6CYIgiKaCDB9RRZpvxEKbWwii/iDDt6BpPkNCEAQxX8jwEcRCgdb4CKIskOEjiAoy380tCyW6A0EsJMjwLWSoUZyTWucQrfERRP1Bho8gCIJoKsjwEQRBEE0FGT6CIAiiqSDDt6Cp9QpWcdCS5HyhDCSIckCGjyAqjPuDl4HbdLRcckmtRSEIAuSrkyAqjjowAN+OHXQ0gSDqBBrxEUQVIKNHEPUDGb6FDDWmc1PjPCpvdIbyPYogmhkyfAsRvcX817eotnIQc1LOA+xMksr2LIJoZmiNbyGy7nrg6OtA15paS0JUAdu6dTCmA5B8vlqLQhANARm+hYjeAvSdXmspiCrhPPusWotAEA0FTXUSVYQWqQiCqD1k+AiCIIimggwf0dDQxleCILIhw0cQBEE0FWT4CIIgiKaCDB9BVBDy2EIQ9QcZPoKoIBSBnSDqDzJ8REPT0mYDAHCZqjpBECZ0gJ2oGrWY9esediMwM4HBZd3VT5wgiLqEusFEQ8MlDm+PDZpdqbUoBEHUCWT4iKrhdLkAAF6vt8aSEATRzNBUJ1E17DY7enp70bmGnGsTBFE7aMRHVBVFVsA5VTuCIGoHtUAEQRBEU0GGjyAIgmgqyPARBEEQTQUZPoIgCKKpIMNHEARBNBVk+AiCIIimggwfQRAE0VSQ4SMIgiCaCjJ8BEEQRFNBho8gCIJoKsjwEQRBEE0FGT6CIAiiqaio4fvgBz+I/v5+6LqOrq4uXH/99Th06FDGNbt378Y555wDXdfR19eHr33ta5UUiSAIgmhyKmr4zj33XHzve9/D66+/jh/84Ad46623cOWVVyZ/n5iYwIUXXoiBgQG88MILuP/++/GlL30JDz/8cCXFIgiCIJqYisbju+OOO5J/DwwM4K677sK2bdsQiUSgKAq++93vIhwO45FHHoGqqli1ahVefPFFPPjgg9i5c2fOZ4ZCIYRCoeTniYkJAIBhGDAMoyQ5DcOAEKLk+xcatdBXCJGRfrWoVdkm9K122lSXG5tm0rdYXYvJk6oFoj1x4gS++93vYvPmzVAUBQDw61//Gu973/ugqmryuosuugj33XcfTp48mTNS97333ot77rln1vdHjx5FMBgsSTbDMDA+Pg4hRFPEiquFvjOBQCr90dGqpAnUrmw1n8DY4SDkFh2jTaBvrSB9G5didZ2cnLT87Iobvs997nP41re+henpaZx55pl47LHHkr+NjIxgaGgo4/qOjo7kb7kM3+c//3nceeedyc8TExPo6+uD3+9HS0tLSTIahgHGGPx+f8NXJqA2+h5zOJJ/t7W3VyVNoHZl297eDmEIMM6qliZAdbnRaSZ9i9VV13XLzy7a8N1111247777Cl6zZ88eLF++HADwmc98Bjt27MC+fftwzz334IYbbsBjjz0GxkprEDRNg6Zps77nnM+rIjDG5v2MhUS19U0v72rncc3KtkZViepyY9NM+hajazH5UbTh+/SnP43t27cXvGbRokXJv9va2tDW1oalS5dixYoV6Ovrw29+8xts2rQJnZ2dOHLkSMa9ic+dnZ3FikYQBEEQc1K04fP7/fD7/SUlllh8TGxO2bRpE/7iL/4iudkFAJ588kksW7Ys5zQnQRAEQcyXio2Vf/vb3+Jb3/oWXnzxRezbtw9PPfUUrrnmGixevBibNm0CAFx77bVQVRU7duzAK6+8gl27duEb3/hGxhoeQRAEQZSTihk+u92O//qv/8If/dEfYdmyZdixYwfWrFmD//7v/06u0bndbjzxxBN45513sGHDBnz605/GF7/4xbxHGQiCIAhivlRsV+fq1avx1FNPzXndmjVr8PTTT1dKDIIgCILIoPG3BREEQRBEGmT4CIIgiKaCDB9BEATRVJDhIwiCIJoKMnwEQRBEU0GGjyAIgmgqyPAR1aFE36wEQRDlhgwfQRAE0VSQ4SMIgiCaCjJ8BEEQRFNBho8gCIJoKsjwEdWB9rYQBFEnkOEjCIIgmgoyfERVULp7AADcbq+xJARBNDsVC0tEEOm0XHgBZnbvhr5yZa1FIQiiySHDR1QF7nDAsWlTrcUgCIKgqU6CIAiiuSDDRxAEQTQVZPgIgiCIpoIMH0EQBNFUkOEjCIIgmgoyfARBEERTQYaPIAiCaCrI8BEEQRBNBRk+giAIoqkgw0cQBEE0FWT4CIIgiKaCDB9BEATRVCx4J9VCCADAxMREyc8wDAOTk5PQdR2cN35foJn0bSZdAdK30WkmfYvVNWEDEjahEAve8E1OTgIA+vr6aiwJQRAEUWsmJyfhdrsLXsOEFfNYxxiGgUOHDsHlcoExVtIzJiYm0NfXh/feew8tLS1llrD+aCZ9m0lXgPRtdJpJ32J1FUJgcnIS3d3dc44QF/yIj3OO3t7esjyrpaWl4StTOs2kbzPpCpC+jU4z6VuMrnON9BI09iQxQRAEQWRBho8gCIJoKsjwAdA0DXfffTc0Tau1KFWhmfRtJl0B0rfRaSZ9K6nrgt/cQhAEQRDFQCM+giAIoqkgw0cQBEE0FWT4CIIgiKaCDB9BEATRVJDhIwiCIJoKMnwEQRBEU9Hwhm9mZqbWItSEZjmlEo1Gay1C1Ziamqq1CFVl3759OHDgAAAgFovVWJrK8/LLL+Ppp5+utRhV4c0338QjjzyCgwcP1iT9hjV8kUgEt9xyC6644grccMMN+M1vftPQxiASieCBBx7AD3/4QwAo2WH3QiEcDuOzn/0sdu7ciTvvvBNvv/12rUWqGOFwGLfffju2bduGK664Art27WrougwAP/rRjzA0NIRPfOITAABJkmosUeUIh8P42Mc+hjVr1uCpp56qtTgVJRqN4pZbbsHq1avx3HPPYWRkpCZyNKThGxkZwRlnnIHdu3fjsssuw+7du3HzzTfj/vvvB2BGdGgkfvKTn2Dt2rX47Gc/ix/84Ac4dOgQgMYd9f3nf/4nhoaG8Lvf/Q69vb3YtWsXbr75Zjz77LO1Fq3s/Mu//AsGBwfx8ssv48Ybb8Tk5CS+8Y1v4Kc//WmtRasozz33HM444wy89957+MEPfgCgMUd93/rWt+Dz+bBnzx78/ve/x913311rkSrKX/7lX+Kll17C008/jYceeggbNmwAUIO2SjQg3//+98WqVavEgQMHhBBCjI2NiS996UtC13Xx8ssvCyGEMAyjliKWjampKXHTTTeJP/uzPxP33nuvOO2008T/+l//q9ZiVYzf//734gMf+IC49957k9+99957YmhoSHz3u9+toWTl5/XXXxdXXnml+Nu//dvkd/v27RMdHR3iySefrJ1gFSQWiwkhhLjtttvE7bffLnbs2CHOOeccEQ6HhRCN894KIcRrr70mbDab+PCHP5z8bu/eveLo0aMiFArVULLyYxiGOHLkiFi3bp34P//n/wghhHj++efFrl27xMsvvywCgUDyumrQUCO+xEju6NGjOHnyJHp6egCYoSo+/vGP4+yzz8bHP/5xAI0zFWi327F9+3bceuutuOuuu9Df34+f/OQn2L17N4DGG92Gw2GsXLkSN9xwAwBzire3txderxd79uypsXTlxe/34zOf+Qy2b9+e/O748eNYu3YtnE4nQqFQ7YSrEJxzCCGwd+9efPSjH8Xll1+O48eP49vf/jYAs7wbhcHBQXzuc5/DM888g9deew3XXHMNLrnkEmzevBnbtm3Dz372s1qLWBaEEGCM4cCBAzhw4AC2bNmCW2+9Fdu2bcN9992HCy+8EB/72McAVK9dXvCG7+GHH8a//du/Ye/evcngg5IkobOzM2OhuLOzE3fddReef/55PPnkkwAW5lRgQt8333wTgFlRNm/ejGXLlgEAbr75Zhw4cAA//OEPIYSYMyBjvZOt78aNG/HAAw+gu7sbAKAoCsbHxxEIBHDWWWfVUtR5k62r1+vFxo0b4fF4AACf+MQnsHHjRoyOjuKyyy7DFVdcsaA3Q6S/uwlisRgYY5AkCaFQCGeeeSYuv/xyfOc738FHP/pRPPjggwvW4GeXr6Zp2L59OxwOB1auXAm73Y6/+7u/w5e+9CWEw2F87nOfw/PPP19jqUsjvWwTxsxut6Ovrw+f/exnceDAATz11FP40Y9+hIcffhg/+MEP8M1vfhNAlTrrVRlXVoDHH39c+P1+ceqpp4qBgQExPDwsvv71rwshhNi9e7dYsWKF+OpXv5oxZTAyMiI++MEPiuuvv75WYpdMLn3Tp8DSpwhuvfVW8f73v1/87Gc/m/XbQmEufRNTYkII8e6774rh4WGxd+/eGkg6f+bSNcHVV18tHn/8cTE1NSV+9atfiauuukps2rSp+gLPk7n0PX78uOjs7Ey+u3fccYfQdV3YbDbxu9/9rkZSl04ufR988EEhhFmPf/jDH4ovf/nLYnx8PHnPc889J8477zxx22231Urskiik6/79+8XWrVuF1+sVt99+e8Z9d999t+jq6qqanAvW8F155ZVi586dQggh3njjDfHAAw8Ixlhy/viWW24Rp59+uvjFL36Rcd+HPvQhceONN1ZZ2vmTre/9998vGGPiscceSxq2SCQihBBiz5494owzzhC33367mJqaErFYTLz++us1k70UrOgbjUaFEEI8+uijYnh4WExPTyfvP378ePWFLhErugoxuwPzhS98Qaxbt04cPHiwqvLOl3zv7mOPPSai0ag4cuSIuOqqq8S///u/i9WrV4u2tjZx6aWXiuXLl4vnnntOCJEq+4VAvvL9v//3/wohhAgEAhlGL8H73/9+sWPHjqrKOl/mape/8Y1vCMaYuOmmm4QQqQ7s9773PbF48WLx5ptvVkXOBWX4Ei/+22+/LTwej3j88cczfr/22mvF8PCwOHr0aHIh9ZprrkluchFCiIsvvljccccdVZW7VKzou2LFCvH222/PuuerX/2q2LRpk7jrrrvE+vXrxWmnnVb3jUUp+gohxLZt28SnPvUpIYS5+eWCCy4Qn/rUp+p6pFusrtm6RKNRcc011yQbkHrHir7Lly8XBw8eFAcOHBCMMaEoirjtttvEyZMnxSuvvCK2bt0qzj777FqIXzRW9c2uywmOHTsm1q1bl7GJq16xouvSpUvF4cOHxcTEhNi2bZvo7OwU/+///b/kNV/4whfEtm3bqibzgjB8b7zxRsaLPzMzI9rb28XDDz8shBDJKZGxsTFht9uTlWXXrl3inHPOEQMDA+LrX/+6uP7660V7e7t4+umnq69EERSr7/3335+8NtGDev7554WiKIIxJnbu3FnXu8Tmo+/k5KQ477zzxL//+7+LW265RUiSJK677rrkLsB6Yz66CiHE9PS0OHDggPjYxz4mli1blpzRqFcjX4y+Npst+e7+27/9m/jtb3+b8ayHHnpI3H///cIwjIbQN1f5zszMiEOHDok//dM/FevWrRNvvPFG9YQvkmJ1/epXvyqEEOJXv/qV2Lp1q3C5XOLWW28VH/3oR4Xf70/uyq5G2da14du1a5cYHBwUy5YtExs3bhTf+c53hBDmFv4bbrhBXHTRRcnMTTR0n//850V/f3/yGQcOHBA7d+4U27ZtExdffLF47bXXqq+IRUrVd3BwMOM53/72twVjTFx44YXirbfeqq4SRVAOfX//+98LxphgjIkzzzxTvPrqq9VXxALl0PX73/+++LM/+zPR0dEhtmzZUrVpoVIox7ubIHtqux4pR/n+x3/8h7j55ptFa2ur2LJlS92+u+Uo23A4LP7qr/5K7Ny5U3zkIx+pertct4bviSeeEIODg+Lv//7vxeOPPy7uvPNOIctysjfx6KOPinXr1ol/+Id/EEKk1reef/554ff7xfPPP5/xvJmZmeoqUCTz1Td90f8Pf/iD2LVrV/WVKIJyle+zzz4rtmzZUtfn2uara2Jd6/XXXxcPPPBActNSvVLOurwQKFf5vvLKK+LLX/6y+OlPf1obRSxQ7na5ViP3ujN8iYy45557xIYNGzKmrG699Vaxbt068dOf/lRMTEyI6667TmzevFm88847yWt27doluru7886d1xvl1rdep4ASlEvfeu0Np9NMugpB724jl2+jlW3dHfJKnPl49dVXsXjxYiiKkjy0+td//ddwOBz413/9V0iShNtuuw2cc1x99dV49tlnsX//fvz4xz/Ghg0b0NnZWUs1LFNufev9YH659O3q6qqlGpZoJl0BencbuXwbrmxrbXmfeOIJcfvtt4u//du/zVjMfvjhh4XL5UrO6yd6GA8//LBYsmSJeOaZZ4QQptufDRs2iGXLlomOjg6xbt26ul7HI31NGlHfZtJVCNI3QSPq2+i61szwHTp0SFx66aWivb1dXHfddWL16tXC7XYnM/n1118XPT094i//8i+FECJjV2JnZ2fyUKQQ5s6+d955R/zmN7+prhJFQPo2rr7NpKsQpG8j69ssutbE8AUCAXHjjTeKj3zkIxlzvhs3bhTbt28XQggxMTEh/vqv/1rYbDaxf/9+IURqnvn973+/+NjHPpa8r97XtUhfk0bUt5l0FYL0TdCI+jaTrjVZ47Pb7Uk/dUNDQ8lgohdffDH27NkDIQRcLheuvfZarF+/Hh/+8Iexb98+MMawf/9+jI6OYtu2bcnn1fu6FunbuPo2k64A6dvI+jaTrjWb6kzfFZQ4dH3ttdfO8kRx4MABsWTJEjE4OCiuvPJK0d3dLc477zwxMjJSVXnnC+nbuPo2k65CkL5CNK6+zaIrE6J+QhScffbZuOmmm3DjjTcmPXRzzrF371688MIL+O1vf4u1a9fixhtvrLGk5YH0bVx9m0lXgPQFGlffhtS11pY3wVtvvSU6OjoyDq/Ws5ut+UL6Nq6+zaSrEKSvEI2rb6PqWvNzfCI+4HzmmWfgdDqToejvuecefPKTn8To6GgtxSs7pG/j6ttMugKkbyPr2+i6yrUWILEA+txzz+FDH/oQnnzySezcuRPT09P4l3/5F7S3t9dYwvJC+jauvs2kK0D6NrK+Da9rDUebSWZmZsSSJUsEY0xompb04t2okL6Nq28z6SoE6dvI+jayrnWzueWCCy7A8PAwHnzwQei6XmtxKg7p27g0k64A6dvINKqudWP4YrEYJEmqtRhVg/RtXJpJV4D0bWQaVde6MXwEQRAEUQ1qvquTIAiCIKoJGT6CIAiiqSDDRxAEQTQVZPgIgiCIpoIMH0EQBNFUkOEjCIIgmgoyfARBEERTQYaPIOqE7du3gzEGxhgURUFHRwcuuOACPPLII8lwMFZ49NFH4fF4KicoQSxwyPARRB2xdetWHD58GO+++y5+8pOf4Nxzz8UnP/lJXHrppcmI2ARBzA8yfARRR2iahs7OTvT09GD9+vX4H//jf+BHP/oRfvKTn+DRRx8FADz44INYvXo1HA4H+vr6cOutt2JqagoA8Mtf/hJ/8id/gvHx8eTo8Utf+hIAIBQK4c///M/R09MDh8OBM844A7/85S9royhB1BAyfARR55x33nlYu3Yt/uu//guAGf36f/7P/4lXXnkF//RP/4SnnnoKn/3sZwEAmzdvxt/93d+hpaUFhw8fxuHDh/Hnf/7nAIBPfOIT+PWvf43/+I//wO7du3HVVVdh69atePPNN2umG0HUAvLVSRB1wvbt2zE2Nob//b//96zfrr76auzevRuvvvrqrN++//3v4+abb8axY8cAmGt8n/rUpzA2Npa8Zv/+/Vi0aBH279+P7u7u5Pfnn38+Nm7ciL/5m78puz4EUa/UPBAtQRBzI4RIBgf92c9+hnvvvRevvfYaJiYmEI1GEQwGMT09DbvdnvP+l156CbFYDEuXLs34PhQKobW1teLyE0Q9QYaPIBYAe/bswdDQEN59911ceumluOWWW/CVr3wFPp8PzzzzDHbs2IFwOJzX8E1NTUGSJLzwwguzwsw4nc5qqEAQdQMZPoKoc5566im89NJLuOOOO/DCCy/AMAx8/etfB+fmEv33vve9jOtVVUUsFsv4bt26dYjFYhgdHcU555xTNdkJoh4hw0cQdUQoFMLIyAhisRiOHDmCxx9/HPfeey8uvfRS3HDDDXj55ZcRiUTwzW9+E5dddhl+9atf4aGHHsp4xuDgIKampvDzn/8ca9euhd1ux9KlS3HdddfhhhtuwNe//nWsW7cOR48exc9//nOsWbMGl1xySY00JogaIAiCqAtuvPFGAUAAELIsC7/fL84//3zxyCOPiFgslrzuwQcfFF1dXcJms4mLLrpI/PM//7MAIE6ePJm85uabbxatra0CgLj77ruFEEKEw2HxxS9+UQwODgpFUURXV5e4/PLLxe7du6usKUHUFtrVSRAEQTQVdI6PIAiCaCrI8BEEQRBNBRk+giAIoqkgw0cQBEE0FWT4CIIgiKaCDB9BEATRVJDhIwiCIJoKMnwEQRBEU0GGjyAIgmgqyPARBEEQTQUZPoIgCKKp+P8BCU+YFzT2NWkAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rtndf.plot(figsize=(5,5),alpha=0.5,legend=False);\n", "plt.grid(alpha=0.3);\n", "plt.show();" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "rtndf.columns = good_tickers\n", "cmat = rtndf.corr() # compute correlation matrix \n", "evls, evcs = np.linalg.eig(cmat) # compute eigenvalue/vector decomposition of matrix \n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "352 1483 0.23735670937289277 4.213068181818182\n" ] } ], "source": [ "N = len(evls)\n", "T = len(rtndf)\n", "\n", "q = N/T\n", "Q = 1/q\n", "print(N,T,q,Q)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "# plt.hist([val for val in evls if val < 1.5],bins=50,density=True);\n", "# Plot Marchenko-Pastur distribution\n", "sig2 = 0.55\n", "lambda_plus = (1 + np.sqrt(q))**2*sig2\n", "lambda_minus = (1 - np.sqrt(q))**2*sig2\n", "x = np.linspace(lambda_minus, lambda_plus, 1000)\n", "mp_density = (1 / (2 * np.pi * q * x * sig2)) * np.sqrt((lambda_plus - x) * (x - lambda_minus))\n", "\n", "\n", "plt.figure(figsize=(5,5))\n", "plt.plot(x, mp_density, 'r-', lw=2, label='Marchenko-Pastur')\n", "\n", "plt.legend()\n", "\n", "_ = plt.hist( evls[evls<3] ,bins=100,density=True,color='black',alpha=0.7)\n", "# plt.yscale('log')\n", "plt.xlabel(r\"$\\lambda$\",fontsize=16)\n", "plt.ylabel(r\"$\\rho(\\lambda)$\",fontsize=16)\n", "plt.grid(alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Market simulation\n", "\n", "Simulate daily return time series drawn from a heavy tailed distribution. We chose the Student's t distribution with degree of freedom parameter 5.\n", "\n", "Let us simulate $N=500$ stocks over $T=2000$ trading days.\n" ] }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "deg_freedom = 5 # Student's t distribution degree of freedom parameter \n", "num_srs = 500 # number of time series to generate \n", "num_pts = 2000 # number of points per time series \n", "rpaths = np.random.standard_t(deg_freedom,size=(num_pts,num_srs)) # generate paths\n", "evalplot = np.linalg.eig(pd.DataFrame(rpaths).corr())[0] # compute eigenvalues\n", "\n", "plt.figure(figsize=(5,5)) \n", "_ = plt.plot(rpaths.cumsum(axis=0),alpha=0.2)\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(500,)" ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rpaths[-1].shape" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'final returns')" ] }, "execution_count": 80, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "plt.hist(rpaths[-1]/100,bins=50,density=True,alpha=0.7,color='black');\n", "plt.xlabel(\"final returns\")\n" ] }, { "cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4.0\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "plt.hist(evalplot,bins=75,density=True,color='black',alpha=0.7);\n", "# Marchenko-Pastur parameters\n", "Q = num_pts / num_srs # Aspect ratio\n", "print(Q)\n", "lambda_plus = (1 + np.sqrt(1 / Q))**2\n", "lambda_minus = (1 - np.sqrt(1 / Q))**2\n", "x = np.linspace(lambda_minus, lambda_plus, 1000)\n", "\n", "def marchenko_pastur_pdf(x, q):\n", " \"\"\"Marchenko-Pastur probability density function.\"\"\"\n", " return (Q / (2 * np.pi)) * np.sqrt((lambda_plus - x) * (x - lambda_minus)) / x\n", "# Compute Marchenko-Pastur density\n", "mp_pdf = marchenko_pastur_pdf(x, q)\n", "plt.plot(x, mp_pdf, color='red', lw=2, label='Marchenko-Pastur')\n", "\n", "plt.xlabel(r\"$\\lambda$\",fontsize=16)\n", "plt.ylabel(r\"$\\rho(\\lambda)$\",fontsize=16)\n", "plt.grid(alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simulation with market mode\n", "\n" ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "deg_freedom = 5 # Student's t distribution degree of freedom parameter \n", "num_srs = 500 # number of time series to generate \n", "num_pts = 2000 # number of points per time series \n", "# Generate random paths\n", "rpaths = np.random.standard_t(deg_freedom, size=(num_pts, num_srs))\n", "\n", "market_influence = 0.1 # Strength of the market influence\n", "\n", "# Generate a market factor (common mode)\n", "market_factor = np.random.normal(0, 1, size=(num_pts, 1))\n", "\n", "# Add market influence to each path\n", "rpaths_with_market = rpaths + market_influence * market_factor\n", "\n", "# Compute the correlation matrix and its eigenvalues\n", "correlation_matrix = pd.DataFrame(rpaths_with_market).corr()\n", "evalplot = np.linalg.eig(correlation_matrix)[0] # Eigenvalues\n" ] }, { "cell_type": "code", "execution_count": 98, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5)) \n", "_ =plt.plot(rpaths_with_market.cumsum(axis=0),alpha=0.2)" ] }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4.0\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "plt.hist(evalplot,bins=75,density=True,color='black',alpha=0.7);\n", "# Marchenko-Pastur parameters\n", "Q = num_pts / num_srs # Aspect ratio\n", "print(Q)\n", "lambda_plus = (1 + np.sqrt(1 / Q))**2\n", "lambda_minus = (1 - np.sqrt(1 / Q))**2\n", "x = np.linspace(lambda_minus, lambda_plus, 1000)\n", "\n", "def marchenko_pastur_pdf(x, q):\n", " \"\"\"Marchenko-Pastur probability density function.\"\"\"\n", " return (Q / (2 * np.pi)) * np.sqrt((lambda_plus - x) * (x - lambda_minus)) / x\n", "# Compute Marchenko-Pastur density\n", "mp_pdf = marchenko_pastur_pdf(x, q)\n", "plt.plot(x, mp_pdf, color='red', lw=2, label='Marchenko-Pastur')\n", "\n", "plt.xlabel(r\"$\\lambda$\",fontsize=16)\n", "plt.ylabel(r\"$\\rho(\\lambda)$\",fontsize=16)\n", "plt.grid(alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The SP500 correlation looks very much like a Marchenko Pastur distribution, plus some information (or signal). \n", "To extract the non-noisy part of the stock correlation, we could fit the Marchenko Pastur distribution to the empirical eigenvalues and remove the eigenvalues that are compatible with the Marchenko Pastur distribution.\n", "\n", "With this idea, we can *denoise* the correlation matrix, and hope to build robust portfolios. To learn more about this you can read [A First Course in Random Matrix Theory, Potters & Bouchaud (2020)](https://www.cambridge.org/core/books/first-course-in-random-matrix-theory/2292A554A9BB9E2A4697C35BCE920304)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Application to Medical Imaging\n", "\n", "In vivo imaging of the brain tissue has been revolutionized by the development of [diffusion Magnetic Resonance Imaging (dMRI)](https://en.wikipedia.org/wiki/Diffusion-weighted_magnetic_resonance_imaging) and [tractography](https://en.wikipedia.org/wiki/Tractography). Thermal noise corrupts dMRI measurements and propagates to the quality of the reconstructed images, hampering it.\n", "\n", "In 2016, Veraart et al. proposed a denoising method based on the Marchenko Pastur distribution, which fast and optimal in the sense that it provides an optimal compromise between noise suppression and loss of anatomical information. \n", "\n", "The method is called the *Marchenko Pastur Principal Component Analysis denoising* algorithm and is implemented in the [DIPY](https://docs.dipy.org/dev/) package. See [here](https://docs.dipy.org/dev/examples_built/preprocessing/denoise_mppca.html).\n", "\n", "\n", "The idea is to construct a data matrix $\\tilde{\\mathbf{H}}$ based on the original matrix after nullifying all eigenvalues that are smaller than the $\\lambda_+$ predicted by the Marchenko Pastur distribution (i.e., the pure-noise eigenvalues). This is a prametric denoising method, where both the noise level $\\sigma^2$ and the number of principal components $P$ are estimated from the data.\n", "\n", "The reduction in noise is given by\n", "\n", "$$\n", "\\sigma_{\\text{denoised}}^2 = \\frac{P}{N}\\sigma^2 \n", "$$\n", "where $P$ is the number of principal components that are retained and $N$ the dimension of the data vector. (The number eigenvalues described by the Marchenko Pastur distribution is $N-P$, they correspond to those that are nulled.)\n", "\n", "See [Denoising of diffusion MRI using random matrix theory, Veraart et al. (2016)](https://www.sciencedirect.com/science/article/pii/S1053811916303949) for details. \n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Application to Learning Algorithms\n", "\n", "Refer to [Random Matrix Methods for Machine Learning, Couillet & Liao (2023)](https://zhenyu-liao.github.io/pdf/RMT4ML.pdf) and the online ICML tutorial: [Random Matrix Theory and Machine Learning](https://random-matrix-learning.github.io/). " ] } ], "metadata": { "kernelspec": { "display_name": "MphilC124 (Python 3.12)", "language": "python", "name": "mphilc124" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.7" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }