{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# EOF解析\n", "\n", "* 経験的直交函数 (Empirical Orthogonal Functions) \n", "* 少ない次元で変動を表現(データの要約)\n", "* 分散(ばらつき)最大の方向を求める。\n", "* 線型代数学の固有値分解,統計学の主成分分析(PCA, Principal Component Analysis)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2次元の例" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import netCDF4 as nc4\n", "import matplotlib.pyplot as plt\n", "import cartopy.crs as ccrs\n", "from cartopy.util import add_cyclic_point" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4 2\n" ] } ], "source": [ "x = np.array([1, 2, -3, 4])\n", "y = x * 2\n", "X = np.array([x, y]).transpose()\n", "m, n = X.shape\n", "print(m, n)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<matplotlib.collections.PathCollection at 0x1123035c0>" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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KSUryI0nfkbS5w5EulTRoe9z2uKTX2b69HwutmzO9ZfyTpL9Y+BD4DEn3JvlGxzNdLek1kh5Ychr+mST3djdSt5Icsf0pSQ/bflbSI0nu7nqudeYiSa+VdMeS3zcHknyig1mmJP2G7Ws1/7nidzV/I6oTSa5d+tr2Q0k+3I+1eDgZQCnr/vIWANpE9ACUQvQAlEL0AJRC9ACUQvQAlEL0AJRC9ACU8r97pcOmD8bHcQAAAABJRU5ErkJggg==\n", "text/plain": [ "<Figure size 360x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(5, 5))\n", "ax.scatter(X[:, 0], X[:, 1])" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "X = (X - X.mean(axis=0)) / X.std(axis=0)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<matplotlib.collections.PathCollection at 0x1123a9048>" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 360x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(5, 5))\n", "ax.scatter(X[:, 0], X[:, 1])" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.0 1.0\n" ] } ], "source": [ "print(X.mean(), X.std())" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "U, s, V = np.linalg.svd(X)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0. , -0.19611614, 0.78446454, -0.58834841],\n", " [-0.19611614, 0.96153846, 0.15384615, -0.11538462],\n", " [ 0.78446454, 0.15384615, 0.38461538, 0.46153846],\n", " [-0.58834841, -0.11538462, 0.46153846, 0.65384615]])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "U" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 1.00000000e+00, 8.32667268e-17, -1.45716772e-16,\n", " 5.89805982e-17],\n", " [ 8.32667268e-17, 1.00000000e+00, -3.46944695e-17,\n", " -1.38777878e-17],\n", " [-1.45716772e-16, -3.46944695e-17, 1.00000000e+00,\n", " 1.11022302e-16],\n", " [ 5.89805982e-17, -1.38777878e-17, 1.11022302e-16,\n", " 1.00000000e+00]])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "U @ U.transpose()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-0.70710678, -0.70710678],\n", " [-0.70710678, 0.70710678]])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "V" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1., 0.],\n", " [0., 1.]])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "V @ V.transpose()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([4., 0.])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s * s / n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "元に戻るか$\\mathsf{X} = \\mathsf{U}\\Sigma\\mathsf{V^T}$を計算" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "smat = np.zeros((m, n))\n", "smat[:n, :n] = np.diag(s)\n", "np.allclose(X, U @ (smat @ V))" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<matplotlib.collections.PathCollection at 0x1124110b8>" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 360x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "V = V.transpose()\n", "X = X @ V\n", "fig, ax = plt.subplots(figsize=(5, 5))\n", "ax.scatter(X[:, 0], X[:, 1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 乱数を使った例" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "m = 100\n", "x = np.random.randn(m)\n", "y = x + np.random.rand(m)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 360x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(5, 5))\n", "ax.scatter(x, y)\n", "ax.set_aspect('equal')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "正規化乱数だがサンプル数が多くないので,正規化は必要。" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "X = np.array([x, y]).transpose()\n", "X = (X - X.mean()) / X.std()\n", "x = X[:,0]\n", "y = X[:,1]" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(100, 2)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "SVD解析を実行する。" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "U, s, V = np.linalg.svd(X)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "V = V.transpose()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0.66550926, 0.74638959],\n", " [ 0.74638959, -0.66550926]])" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "V" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "散布図に主成分を描いてみよう。" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 360x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(5, 5))\n", "ax.scatter(x, y, color='gray')\n", "ax.quiver(V[0,0], V[0,1], units='xy', angles='xy', scale=1, color='r')\n", "ax.quiver(-V[1,0], -V[1,1], units='xy', angles='xy', scale=1, color='b')\n", "ax.set_aspect('equal')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "回転してデータの圧縮を確認。" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 360x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "X = X @ V\n", "fig, ax = plt.subplots(figsize=(5, 5))\n", "ax.scatter(X[:, 0], X[:, 1])\n", "ax.set_aspect('equal')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 1月の海面気圧のEOF解析" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 関連リンク\n", "* 京大生存研NCEP/NCAR再解析地表面統計処理データ http://database.rish.kyoto-u.ac.jp/arch/ncep/data/ncep.reanalysis.derived/surface/\n", "* Numpy svdドキュメント https://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.svd.html#numpy.linalg.svd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## データの読み込み\n", "\n", "月平均の海面気圧(slp)から1月のみを切り出したファイル( https://github.com/tenomoto/dsss2018/blob/master/slp_jan_mean.nc )をダウンロードする。\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "座標軸を読む。" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['time', 'lon', 'lat']" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f = nc4.Dataset('slp_jan_mean.nc')\n", "list(f.dimensions)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "変数を読む。" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['time', 'lon', 'lat', 'slp']" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "list(f.variables)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "lon = f.variables['lon'][:]\n", "lat = f.variables['lat'][:]\n", "time = f.variables['time'][:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "気圧を読む。" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "<class 'netCDF4._netCDF4.Variable'>\n", "float32 slp(time, lat, lon)\n", " long_name: Sea Level Pressure\n", " units: millibars\n", " _FillValue: -9.96921e+36\n", " missing_value: -9.96921e+36\n", " precision: 1\n", " least_significant_digit: 1\n", " var_desc: Sea Level Pressure\n", " level_desc: Sea Level\n", " statistic: Mean\n", " parent_stat: Other\n", " dataset: NCEP Reanalysis Derived Products\n", " actual_range: [ 955.56085 1082.5582 ]\n", "unlimited dimensions: time\n", "current shape = (71, 73, 144)\n", "filling off\n", "\n" ] } ], "source": [ "slp = f.variables['slp']\n", "print(slp)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "描画関数を作っておこう。" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "def plot_nps(lon, lat, data):\n", " datac, lonc = add_cyclic_point(data, coord=lon)\n", " fig = plt.figure(figsize=(10, 5))\n", " ax = fig.add_subplot(1, 1, 1, projection=ccrs.NorthPolarStereo())\n", " p = ax.contourf(lonc, lat, datac, transform=ccrs.PlateCarree())\n", " ax.set_extent([0, 359.999, 20, 90], ccrs.PlateCarree())\n", " fig.colorbar(p)\n", " ax.coastlines()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "最初の年を描画して確認。警告は無視してよい。" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/local/Library/Frameworks/Python.framework/Versions/3.6/lib/python3.6/site-packages/cartopy/util.py:102: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " new_data = ma.concatenate((data, data[slicer]), axis=axis)\n" ] }, { "data": { "image/png": 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jhEPcPZV20/YdaBMS0Gdm4He7se/agzY5CX1mBl6bDefRoyTe+h38Hg+lT39A4jUziZ07/rSUiFAJ3JU2Ys4dg3lMNkIl0GcmUvDY22Q8eDnZ/3cdDRsPUv7qF9St2k7M+eOo+3wHI//zI9QWA1Xvrafqva9JvHoGKmPk3KUIIYg5p+VhYlOepZOtFUJFWIStRNeB0VupkGCJ+kzHDbW4uyttd3k5Ne+8j8qgR+h0+GwNaOLjEDodaQ8tpGnbDlQWC+6SUhrWrUedmE7cvAntHkufkUDG9y89aVnMOaPRWM0U/+0jrLNGkXjtTAb/8TbclTYKHn0LoVajthgAsB8sJvW7FxA7V+nOrXA6SoTdj4hEWZ9aRiRKu37lF2gS4km+63a8dXVo4uNQWywU/fYxbF98ScOX6/A7nVS+8hrmSROImT8X8ARUhmXcIIb+7W5Knl3KwXueQahVICWaWAveomqKn/mEmHPHIL29kwaRXh9emx2N1YTQqDvcNhST+Cp0DUXYEUZ3L4S+0iIkHNF2oNI2Dh+Kv7mJsmdeIOMXP0GoW4QVNWsGjZu3knjbTTgPH8W+Zy/xV55oQx34XaMm2kT2/13X+tpT00jjlsN4bc0IvZbify7B73CT9bNrAj52IPhdHhxHy7AfKMZ+sAT7oRK89c3g85N238XEL5gS0vIVuk/Iha2kQyKfcETX7ZUZKdKOmj6NqOnTKP37s9h378U8YRxeWwPS7Sb1+/fia7bTuGETiTff2LpPMOZ31MZHEXfRpNbX8ZdMwVvTGLKWIX6Xh6KnP6Rp+zH0GQmYctOxzhhByh1z8TU6KHjsHWLO69oDRCXK7h2UCDuC6I3oujdkHS4CjbRNI3NxFRWjy0ij/Ll/oU1KoPixP4NKRcyF8zHmDmvdNhSBiEqrQZcS2/mG3cRVWkvznkJyfnczxtz01gemzvwKip78gORbz4+o9t8Kp6MIu4/Tl2XdnShbSklzyVFUGi2mlOyg1EN6vQiNBqHR4Dp8lKYtW4m5YC7Rs2bgqaxCbY1GpQ++yFwlNVS+tRZXWS0JV04nZlbXu3RfkHWw3eUrC3PbXQ4tEb1l4mAKn3wfv8ONyqBDerz4PV7S7rmI2PPHBVR/JcoOPyEVtpIO6TrdOfH7sqy7Q2PhQcq++gRXXQWxI6YERdiemhqKf/846T//MdLnw11UTMLNN2Ie2yLPUE0e27TjGEVPfUjClWdhPXc0Zf9aSf3q3cTOn0D0Wbln7EF5JlGfaX1bgWuiTWQ9chUAnrompNuL0KpRm/SoDN1LTynSDi9KhD0A6Yuy9tgbKVzxOhlzrsdeno9QB+fUrVu6AoCyvz+DJj6ejF//HLXZfMbtgxGE2A+VUPjUB2T99BosYwcBYB4ziIb1+6n43xc4j5aTfPN5p+3XmaxP4HX78Hv86MxaLsg62G7UrY0NXltqRdrhQxF2HyWYrUI87mZs9fkkJEXeKGtV21ZTsWklQq0mbvRZWIeMoXr7lyRNnR+U4/ts9VjnnkfDuvXEzJ8TcllLKSl55hPS7r6wVdYAaqOO2Lnj0cZHkffbN4i/ZCqamG/r0pms/T4/eV+Vs+fDPAq3VKLRq5nzs4loDGqGijKklGwrT4XjzQY1cRa08dFo4qJQaTtuxqcQOYRM2Eo6pOsEGp0EMxVSWbaT/bveBOCceY+iUodv7IrO8tfuhloqv/mcodc/hFBr0Fnj8Hs9OKqKMaV2Lx3ia2jEVVKCaeQI/E4nnspq3GUVWCZPxDS+/Rxu23NZ+vx4ahvxNdjRZyYGPLa1fX8x0uPDes7JP44+u4vSF5bRuPUImQ9fGZCsAZb8eAONFXYmXD+U+f9vCgUbytm3JB8pW34kVCqBVn2MKnc0SPDWNeGpacRb14hpZBZJ18/CPG5Qt0cPHEhRthDiWuB6YLqUMuv4sixgERANuIHbpZQFQggt8BwwEjAAL0gpXzrleC8DainlHZ2VrUTYA4hTZV1bfbhV1qMm3BIxsq7euY7Kbz7H57STPP0iDPEpreuayo5giEtBrTN0q9zGjZuoW76KxJtuoG75SnwNDRhH5BJ//TUnycrX2Ijj4GGEp5ja92pwV9TjrWnEW9+EOtqE2mLEU2XDlJtByp1zWyYp6Mr7XrWd2PkTWstyl9chvT6qPtiA9PnJXfR91OZv31tnsraVNGOK11Nf3MSFv51Kyug4AEYuyGbkgvZ/1NqmSKTXR/3aPZS88CmaKBNJN5xD1OShXXovpzKApF0FPADsabPsZeAfUsolQogFwDPAZcA9QJGU8m4hhAnYI4R4T0pZByCEuALQAb6uFKwIu4/R3ej6VFk3NZa1ynroiMtJTB7T47p1ha60CnHWlBM7YjIpMy5BiJPfb2P+AaIGjexSWe016bPvP4hl0gSq33kP86QJ2B1OEm6+AaFS4fd4cOUX4DhwiMYNG7GMz0KfkUDU5KHokmPQJkSjjYtq7Qnoa3ZSt3oXRU+8z/DnH+hSnRo2H2JYm/x06aIVNO3KQxsXxdC/3X1Ss7qOZO3z+Fj9xA72LytEa1SjM2qIHxzdpTq0zWsLjZrYOeOJmT0W2/r9lL60At0nW0j77nz0GQldOl5bBoK0pZRrgNYf3eMiHiGlXHJ8/adCiGeFEDrgeeBEzkkAXo7LWQiRDPwE+B7w866UrQh7ANBW1lJK8o+spPDYaoRKgzU2h7Sss0Nafleb7tkriqjYuAx7ZTHDbnz4NFkDNBbsJ3Peje3s3Tk+uwN3SSkp99+DcdRIat77gKTbbkG6PZQ/vwjnsXx0qclET8lk6F9u71RYarOBqIlDqHj9S2pXbMOQk4zf7sIyYTDOwipKnvkEfUYC2vgoYueORxMXha/RgSY+Cmjp6di8v4ghf7oDlUHbZVkDHFxZTOXBer63dAGVB+qJTjGhNXb/chZqFTHnjCZ6+ghqPtnM0Z+9Quy8CaTcPhehivxJFoJMghDimzavF0kpF3WwfQwtUXdbKoF4KWUZ4BdCjKQlNfKwlLLh+DYvAD8GnF2tmCLsXiaQaKQ70fWpkXV5yTfUVB3AHJWKJSqNISMuCcmsJ93pxViz+2u0Fis5Z1+MLirmtPXuxjq89iaMyZndqpNj334Mg3PwVFZSs/gDUu6/G7/LRdnfnsE693xyfntlwB1HtEkxpNw6h+Z9RVR/shlXQRX6zAQ8tU2k3HIeUoKnop4jj7yMJs6CyqAFnx80ajxVNvzNLddq2x+HruSsd79/jCm35WK06sk+KzmwDwLO2HpEpVWTeNXZxJw3loJH36Lusx3EXRDYRLqREmU3uA0dtkvvgGopZSD986uBU2dbTjy+HCHEDcA1wM1SytLjy+4F9kspNwohBnW1oJAIW3ngGBm013yvtvoQicljKC74mrGT7kSrNXX7+MHsWu73umk4upvhN/8UraX9i71i0wpicie2G3l3hcb1G7GcNZXKl18h/tqr8FRXU7P4Q5JuvYnEiwOXHrQILn7BlNbxN3xNTjzVNjRxUa2T8gIkXDUdZ0EllnE5LQM/AYYhqaitJqo+2tjaProrFGyqoLHczpDZqd2qc1fQxlpI/8Gl5P+/N4iaOizgZoCRIu1wIKV0CyF2CyEuklIuF0LMA/ZKKT1CiPOAi4AbpJSyzW4XAnohxIeACRghhHhSSvnjjsoKibCDMc6CQs9oT9aNDSXYao/hdjWQkT0TvaFrOc+2hGr8D7/bDUJFU8lRYnMnnbbedmQnzSXHGPadR7p1/Oadu/HW1SFUKrTJSahNJipffYPBj92EMad7sm4PtcXQOlRqW7RxUWjjWlIhPruLulXbqXhzLX67C0PWt51zOouufR4/Xz65g9kPj0fdw+Z4Z4qyT2DMSSH+irM4/IMXSbpuJglXTA/o+ANJ2sBC4BUhxK8BF3Dn8eXfB3KA1W3uZH8qpbz6xIvjEfZvO5M1hDAlEmnSlj5/a2TTFwkkHdJW1l6vE1tdPrHxwyg4+jlpWWdTUvA1oyfcArQv4FNlH44JCNRGM9YhY2kuPnySsKXfT9lXS6g78A05l38PtS7wLuLeunqq31lMyj3fpebjpQghqPzvawz61bVBlXVb2or3VCnWfbGT6iWbyXjwMozD0tAmRLfu42724Gz0EJ1y+p2PlJJVj36DNd3M0DnpQatnR9JOunYm2jgLVe+tJ/7yswJOn/VnaUspU9r8XQCc384213bhOPnAHV0pc0DksKs/3kT5K59jHJaG0KhwV9rw2ZrRxFhanvwnWTEczzv6nW40VjPxl00Lam+w9gjFiXyqbPMPr6KidBtxiSNpbiwnMXkMUqumJsNLw7F1qHbqKV3zPhnzv0PcyKkA1A5T47U3nTE10R2klJR99TFxo6djiEtGSj8+lwONwYz0+yha+QZuWw3Zl96FlJL6Q9uo3PwZQqVCqNTk3vJTNKaobpVtW72GqGlTaPxmK65jeUSfO4tBv7y0NeINNqdGySdenxCjaVg6arMB64yRx9eVAy2dXxbfv5a6gkauff5ckkfFnXScne8epfqIjRtePj+ss63rMxJASo48tIjMn1yNITOw7vr9WdrhJqTC7u0oW3p91H2xi6rFXzPsmftwl9Ui1Cq0STForCa89c14qhtwHC3DVVqLPiMBtVGHs7CKQw88j1CrMA5JIfv/ruv2WAu9ic/nprz0G9KzZlJZtgNr7CB050/Ht/sdDr3259btrMMmULdvM7roODyN9TSX5VO7+2v0cckMv/mnPZaD19FM2VcfU7d/C02Fh7BkDsd2ZCd+jwuN2YrWFIX0+xh8zQN4Hc3kL3kJT2Md6eddjVCr0cckdlvWvmY7DWvWoU1OwlNTS8yCC4mdPxdtXPjPyxPibjI6+F99PVn7VkFWVut6v1dSV9jI5FuG897CdYy/bghxg6IYPj8TtVZF5YF6xl49uEetQc5Ur46ibNPwdIY9ez91q3aQ/5s3GPzH20I6qqDCmQl5hN0daUuvj4aNB6lfu4eY88dhPXtEwOU27yui+oP1eOqayfrF9ejT4tCnnRyxqM0G9OnxWMbnnLZ/8k2zkR4f5f/9nLzfvkHmj65El3x6y4Vw0N22125nA0hJccFXICVxF307dVXipPNJmjoP6fOCUHHknb9TtPw1NBYrnqZ6tJZYrEPH9VjWTUWHKVz5Otah4xl97x+p2voFqFTkXHEPjQUHMMSn0lRyhJjhE6nevpaq7WtImHAOiZfciaoH44WcaIPdvHMXADEXXUDtBx8TNXlSSIOIrrTwsCQaue7F2bz/g3UUfVPJ6MsGkTY+AY1ezZDZaZji9Fz+1AwKNlaw58M8vn5uDyMXZFOxr5b0iYG3je5qvTuSthCCuAsmIr0+jv36NYY8fntrKucEUsozni+RlB7ty4QlJRKItD21jRT/fQl+hwv7geLWLrzSL6n+aCN1n+1Aeny0feAq1Krj6Y0o9BkJOPMrad5bQOyc8WQ8dDlqizHgOp/obZb+/Uupen89Rx5+CeusUS2Tq47O6mTvyMBoTmDauT/F7Wpkx6YXEJqWnoxjf/DUaRdW7q0/a7ngVCpKv/wAv9dN8rQLAirP7/OiUmtoyHbTuHEzDV9twN/cTOLtN2LMHY4dSNEvaN3eEJ+C3+PCWVNG/scvYUhIY9Bld2FOPfkHtGT1e/h9Xszpg4keNBKNseupKsuUSegzM9BnZlDz3geYB9uB3p9ENnF4DDe/No89H+bx5u1fMPryQVz426kYrXoOrizi7HtHM+P+0QghKNpSSeGWSgbNSCFjUmhGD4TOpQ0Qv2AKvkYHRU9/RM4fbkEI0TI+yrNLadx0iJjzxqK2mjCPyMA8JjjD3yp8S0TlsF0lNRy6/zniFkwh7e4LKXtpJfWrd+EsqMS2bh8aq6lVwG0b80uvD09dE55KG87CKqKnDiP9votPGo+huwi1iqTrZhEzewy2dfsofOI9Mh68rNvdd8ONWqXF7/MSGz+UgqWvMOSahe1GQUKl5sTSpLMuIO+DF6g/tJ3YEV1rjuppsrH/379Dl5aKr9mOLi2V+GuvxDAoG6H59jQ7tfdhzT/ewNNkw5SSjb28gJLV7zP8pm9bgkgpsVcWYohLofHYXkrXfEDK2QtIGD/rjHVpW4ZKp0OfmQEYkRf6AAAgAElEQVSAxmql+v0NqK0mEq6Y3quDHlXsr2PZrzYRN6gl1bP343xGXpLNWd8bye4PjrHyd9+QNS2Jeb+cTObUJDKnJoWlXl2RduK1M7F9tY/6NXswj8zEU9dE3Wc7GPynO2jacQxfo4PCJ98n8eoZxF82Laz59v5O2ITdNsr2uzyUPLcUx6FS4i6ZimVMFraNB6lZspmU2+eScPXZCCFIuX0OVR9uxO9wk/Sdc/FU1FO1+GsMg5KJPms4+oyE1umUutONNhB0STEkXjMD08hMCh9/l+xf34BpeHCe1AeTulxd64NHKSX7dr5Bfe0xzFnDMCcN7tIxtKYotBYrKs23Y4tIvx+haj810zjEj7vCgcpiJu7Ky1CZzegzOv9s7PsP0pC3F5Veh3pQMklZ86ndu7F1fXNZPmVffYz0+Ug5+2I0pmgOvPIHfMPP/ACroxlmcn5/LRWvf0nTjmNorGbi5rc/83k42P3BMeJzohk6N4Npd44kZcy36bqpt48gcVgMG17c22v16wihVpF670UUPfEeQqvB7/agNulxFVeTfOO5QEskfmjh8xiyk9pNOSp0j7BG2E15VmjcSclzSzHlppN2/wJqV2yldukW9NmJDP3b3WgTonEVV+M4UoanugFvbUv33fo1u7HOHIV15kjsh8so+uuHeOubyf7VDZhHdq/nW3cwj8ps6VDw+7dI/d4FxHZxDrzu0pOR+epqjuBw1BI/cRZVW1eTOHF2l/bze900lx4j66JbASjfuIzKzavQxyYTP/ZsEiac27rtCUFqkxLRZ6Tja2zCmDu8S+XYPl8Nfj/W+XOJmXs+zrx8nF9VcGjFCwghcJeVE7vgQizTpuBUqZBSYpw8lpr3PqTOuAJ9dhZxV1+BStu1Qat0iVYyf3gFxf9Ygt/e5d7AIWH4/ExW/m4LrmYP464eTMJwKxrdtxH/Z49tZcINkXsXZxmTzYj//ggkNGw6SOET71H2ymdYxuegS7SiS44hbv5EnIVVirCDSMiFLb1eXEXF+JubaVj3NY7DR0m9ax7xC6bgrqwn5ryxiHkTURl11HyyhdoV21DptZhHZeKuasA0MoP0hZdiGpbW2o46ZvZYHEfKyPvtG3gq6yGIwu7oodGJW8XoacMZ/IdbyH/sHZx5FSTfNLvbE6e6S8vwNTWhS0/rcCzmQKjL1WHcUc6B3W+TfuGNCLWGqq2ruzTov6O6lMpNK9EYLaj1Lbl/rSkardmKq64CW94+TCnZuMZEo7F+G+kKITCNH0fTlq2YJ0/s0m1w0l234a2rR5fa0pxVPyibtEcexFtXj9/uwDRm1ElTcwkhiL/6CswTxyNUKuo/X035My+QdNftaKxn7gR06vMTv8PVMkt4GzpqN90Vujq5wAmypiZxx3sXceizYna8fYRlv9pMVLKRWQ+OY/i8DExxepJG9M5D7q5St2oHpYuWo44yMvjx22nenU/hnxaTvvASfHYXzfuLMA4NXW/MgUjIhV3/+ZfUr1iFYXAOpjGj8DU1U/HaGsr/swpNbMtDQun34292YhqRwbB/3osusUUErpIaXCU1+O0uaj7ZjK/ZhdCq0afHU/HmGpKun0XM7J5FuIFcaG3ze4ZByQx96ruUPLeUQ/c/R/LN57X8+JzSOUdKib/ZRcWba0AlSLhsGrqklgtRer2U/Pmp1m2FTod1zmxiLrqgVXiNQ/zdirIrY2143C3jbpSvXwqAManjHzZXfTXFq95CbTCRc8U9rcvjx80kftxMpJRU2Hdx9LUXUC3TEXPBXKJmno1Qq3GVV1C/4jN89fW4i0ta88YdoTaZUJu+7SAihECXkoIupeOhSg05gwBIuuNW6ld+RsmfnyJ69iyiz5mF2tTyI+N3OHBXVKLy5VO5uRFvgx1vgx2fzY67oh7b+v3EXzKVSyaVdVrPzghU1ifQ6NWMuiSbUZdk43F4KdlezbJfbcLn9lFX2ERMZu8/HO0IoVYRNXkoGT+8ArVRh2lYGiq9lvzfvoHGaiZm7niss0b1djX7FSEXtiEnG3WUBZXRSN2ylRhHDCft4QdBSqKGNZ+2vfRL6j7fSc3SLXhqGtFnJYKUGDITUUcZ8DU6qFr8NYlXnk3MnMAmDW1Ldy+ytp0gNNEmsn9+Hc37i6j43xeU/+8LrLNGETVlKL4mJ007jmHfV4SrtAbzmEE0785vyf/dMQ8AodGQ9cff46mqovr1t1DHxlK/fBXRs2agjvq23XFXpe11NNNUdBhnbRl+jwe1wYS3uYGkKXOJHjwGlabjr7t6+xp01nhicifTXHqM8o3L0UXHkXzWRag0GpqGStgJxmFDsc6fQ8277+OpqUWbEE/D1xuJuWAelikTgzph7anRcdsOGEKlIvaiCzBPnIBt1ecU/+FxdGlpeCorkS4H+oyEltHyEqLRJVkxDk1FYzWjiTYxZ3Q5Ucm9J+tT0Ro1DJqRwjkPjWPPR3nM+sFYolODc8cVKtRWE36nB7WxpY+CUKtIuPws4i+b1vJaedgYdMTJ45F0srEQMufvTwZUgJSSxvUbERoNptGjUFtOPglPXJDO4mqcR8twHKugadtRkm+bQ9SkISHrTh6MC+1EtO33ePHWNuH3eCn+64c4jpShy0jAOj0XXVocQkDJ88uQXj/aeAsx540l8ZqZVK8owzBkMOqoKDyVVZS/+DJJd9zSbnTakbCl9GMvL6Boxevo41IwJqWj1hnQxyYRndP1ab+aS45x9L1nWsrLHoF12ARsh3eAUBF79/W4S0qpfutddBnpJH/3DtylZdSvWIXjyDH8TU1k/OrnaBOD9/C3s6agp/ae0xrycJfWos9MQJtgbXdY0K5+752lRYIl6kikqykhx7FyCh57h+HP3d+llODuyx9FShk2i5uGpcmhf/1ewPvtvvzRrQGO1hc2Qh5hCyGInnn6eMuOQ4dxFRTinTqFprUf0/DNYSxjByG9PjJ/dg2GELb6CNbFduI4i9+FgsfeAWgd+EcTZaDmky0gwO/2Yh6VSeaPr8bX5KD0hWXsv+2vGIemUv3u+xiGDsHfbCf6nBkgBI0bN2MaNRJ19OlRtu3oHmxHduD3elDrDEi/n8bCg2iMFpKmzidu9Fndfj+m1EFozNFkzvsOUdktF63m4gkUP/4kqjXraN6+k6hZM7DOOY+m7TtQ6fQk3XkbjVu24jx0GOsEgUp3umS70y25K+32T98mDn1qXLvbQnC+9/4s6kAx5CRjGpVJwR/fJesnV3XY38FT1xTGmvVfQh5ht0fD+o3UL1+JcfgwmrZtJ2bWKNLuXxDwWMTdIRQXnN/r542/11Dx6mr06fEIrRpXWR2mYWlEnz0C88hMDENSWm8R/R4vvkYH2rgoar+24y4vR6XXY1u9Fl9jI9qEBJz5+ZjHj0PodOgz0jFPHE/dJ59i37ufpNGz0RhM+NwupN9HVOZwdNZTh+PtPl6nnYrarUgpcZeW4SkrJ2XhvTgOHqL6zXexzplN3ZJPAcj5+5Nd7hTVmbh7uwfiqbSNNAeSqAN56Cq9Pspe+ZzGzYfI+r/r2h1My+/xkvfLV7EfKFYi7B4SNmFLr5fGDZtahrmsqSHlgXvRJiagMxWgTWz/9jXYhPqi83l8fPipAU9FPdHTc7vccac9kblLy3AcPoL0erHv2YenrBxtagrJ37sTtdkU1FnTT227XPvx0pYmd4Bh+DCSv3dHa17aVVhE44ZNeG02HHv3k/WL67BO7/rQAR1JO5jCbvuAeCDJNhh0p5VM3Ze7KXtpJUnXzSR2/sTW4OvELPG+RgcNGw8qwu4hYWmH7ThylJq3F6NJTCB69iyMucNR6XTHL9DwNF0Kx0Wr1qq55goPYGZlYc8eGOnSUtGltTSJss45r0XYSYmtvQY76iDSHqcKvqP9Yy6+AK/NRvM324ieOf2kh4j6rEz0WS2tTVyFRZS+8DKOQ6Uk3XIeqjN0rGlLsEZu6+r3qcg6MLo5Qwux543FmJNM5dvrqHx7HTHnj8M4NBVXYRWOQ6UMfuJO9t3w584PpNAh3Ra2u6IS56HDIATRs2actl5KifPoMRrWfoUrv5D4a67EPP7bJnj9fTCYrnTx7SpCiFZ5d5dABK/Sakm69SZc551LxaKXcR45RtSsGehSTr7d1WdlkvzA9yl94klsGw4w9K/fRW08Pa0l/fKkO6j2pN3fz4eBgCE7iayfXoO7ykbtim00bjuKEILsX17f2pJEoWcELGx3aRnVi9/HW1WNMXc4Tdt24LXZiL34QlwFhfhdLtxFJTRt3QY+H9HnzCTxphtQGb6dhSOcF2dfiLAidbxgfWYG6T95mOrF71P7wUek3H/PadvoEhMY/uJCCv+0mPzH3iHrkatOGke87D+fUbtyG8OfuR9tfFTY3ueJH8uVhbl94hyIBIIVYOgSraTcctpY/gpBIGBhlz//L2Iumk/U9GkItZqomWdT8+77NKz5Ck1sDOooC7qUFOKvvgLDsKGntcVUZN23aNq2A+fhI8RedskZt9HFRzPkT3dQ8fqXHP7+C8TMGYc2LoqoiYNx5lWg0uuoeHMNpgnno0sPvbBPFU8k57JvjV1/xnWv1p1+56owsAlY2LGXXETU9Gmtrw05g0j7yY/wNTaiie54jkBF1n2P+lWfkfrQwk57Hwq1ipTb5hB34STqPt+Jp8pG3u/exNfoIP3+BdR+cZSGzS+jz8zANHYMarMZ05hve8GFY7KLSIu2O5J12/WKuBVOELCw28r6BEKIDmUd7vxkJFyUwbq97E2kz4f0eFFbzjzbiyXHRvWSzTRsPIj9QBGj3/k5yTe1DDKVetd8HHkV+DUjSR58Ln63h6ZNm3EcOIQzL48EJKYxXe/Y0xl96TPvTNanbqtIWwEgqN0ILTm2dv+Fk0iQdX+h7pNP0Wekn9Y7tS1SSipe/QKf040uLR7apMCERo1pWFrra5VO2/JM47abUGm1CMPps4t3lZWFuSflqbsq60iQeiCy7sk+Cv2PoDTrU57wn0ygUoi0B45SSuo+XU7zjl2k/eThdrf59jsX5L70II1bjxA1ZViX29P7mpu7PCxqR3RHwL2R01aEqxAMeizsSJJ1JETXkRDBBYr0+bDv2Ye3poambTuwTJpA04bNpHz/vtbR707Q3vetiTYRe37XB+ISQhB/3dWUv/gS+kHZmMaMxjJlco/fR6CEI6cdLFGHOiXSF8/bgUi3hR1Joo4UIv2kb/udSZ+f5v1F1K3aTvP+SpASX2MT2qREnMfyiL/+mtZ21z39rtttdz1xAsbcXBz7D9Cw9it8jY1E557+fCTUhELaSjStECoCFrYi6pPpqaTDlQ5pnZ7N7cW+v4iqDzbgLqsj/tKpGCechz4j/aS5F9vuEyrUJiOWyRPRxMVS/cbbNB6bR9TghpCWGUpCJWrlgaPCCSJqEt6eEs5mW5EeTbfFVVRM/dI1LWN078zDkJWIcWgq2b+8AZVWHZZehx11DtJnZuCprgEpe9y8r+145V0lGOdNX5Z1XzqXBzr9StjhoC+e3A2fL0GfFod5ei5pd1+INr7jZnqhoiNpqy0W7Hv3YR47pnWbvnA3F8r0hxJZK5yKIuwuEgpRhyMdYs6up8LlwTJ5CNFThp1xu96Uo9BoSL77TspfeAm1xdI6BZhtlwrruMAGuQrHfIwKgRNpLaH6KqGZzqUXCbZYA2njGwjhOIEtOTYq316LdHvOOLN8OHoYdgV9ViYJN11PxUuv4KmswnHoMIW/+h1Fz21Cen29Xb2wE67oOhx3jIqsg0e/jLCDlcsO1ckcLlkDuMvriFswBbW5/U4qvSlrx4FD+D0ezGNbejvad+5GejyUPvM8Ko0Gy9ln0bB2HbWDNcTNnxiy6eL6G23TNJ2JP5ijSraHIuvg0i+FDT2Tdl8+gdsKuHTRcupX7ybxqtOnaOtt/G4PFS+/gnS7SX1oIfqcQQBIlwtdagoxF1+AMXc4zskTqXzrXVzFNeD3k3j1DLQJHY9Z09fpSXR9ak69K+ORhEraiqyDT78VNgQu7VDfHobyBG4raldpDfVf7qbmky1ok2MwDDp92qbeRqXTkvCd66n672tUv/MeKr2e+GuuQpuchHn8uNbJfI3DhhI982zqV3+BUAmiJg+NKGEHItfebJ/dmbiDLe3+LGshxLXA9cB0KWXW8WVZwCIgGnADt0spC4QQscA9wI3ACinlz9scJxN4FogCvMDPpJTbOiq7XwsbuibtvtDyo6upC1+zk0P3PQdA3EWTsUwaHMpq9QjLpAm4i0uw792HcdRIyp97gejZ55w283r07HNIvmY4hxY+jz4rMej1CFdX9ROy7Moofd2Jsrvyg9DRsUOdHulHVAEPAHvaLHsZ+IeUcokQYgHwDHAZIIENQC0w5JTjLKJF0ruEEHGAurOC+72wIXKEHOhEBd3JL7sr6gHQJseQdt/FCJXAZ3eFZYLj7mCdN4fG9RuImjoZTYwV+959p23jKiqm8FcvEztnDLrE0EVuoW7HHykj9IV69L/+HF0DSCnXAK1j/QshTMAIKeWS4+s/FUI8K4TQSSnrgbVCiJMiJyFECmAA7hJCTAL2Ao90Vna3hS2lpHlvIY1bDuOpbcQ8KgvzqMyWWcM1nf5QDFi6Iu3uPgisW72LynfWET09l+Tb5pD3m9fx1jfhKqpm0K9vJGry0G4dN5SoTUZiLpxPyV/+itBoiV1w4WnbVL+1mIQbrsU8YRzQ98bMDkcqJBhlBCOwiSRZ+1yndwrrIglCiG/avF4kpVzUwfYxtETdbakE4oGyM+yTBUwEHpZS/lAI8Wvg/wE/P8P2QHdmnPnv5zTtLsBTZUNt1hMzeyz6jASad+VR/fFGPFUNGLISsUwYTMyccRgyEjo/6ACjI2kHImspJX6nB5VOQ+kLy2jeV0jG9y/DNCqTxi2H8Tc7Sb9/AfglhX9+j8F/vgN9Wlyw3kbQsJ4/G8OwoeDzoc/OOmmd9PvxVFRgGJITtvoES9o9lWhfGwc7kmTdQ6oDnDW9mhY5tyXx+PIzUQ/sk1JuP/56MS1plA4JWNie6gZSvzsfbUI02oTo1tuCuPkTAPA53DjzKmjYdJC8X/wPy/gcEq6egafahkqrQZscgy4pZsA30QrGRLTl//msZVjTqcNo2HIIfWYizfuLaNpxDHW0CVdpLUKtxjQqncTrZlL4l/dIuuEcoqfldnkY1HChz0hvd7lQqbBMm0LlK68htBqS7/kuUUMaw1y7yKa3o+t+JOpuIaV0CyF2CyEuklIuF0LMA/ZKKT0d7HYEMAghRkgpDwDzgO0dbA90Q9iZj1zV4Xq1UYd5VCbmUZkk3Xgu1e+vJ/83r2PITkL6/bjL6lAZtGT86MqTBrcfiJyQdndSIM6iKurX7gEJdZ/txO9wIT0+Kv73Res2KoOOwiffJ/eFhcRfOg1fk4PCPy1m5P8eRhNtCuZbCSnW2edQt3QZ3to67Lv3IlRjI6KzT0coI/YNOBYCrxxPbbiAOzvaWErpF0LcATwvhNDQkkK5q7NCQvrQUW3UkXzzeSTffF7rMikltrV7KXjsbYY+9b0Ox7XoKn25FUh3xdO07ShRU4bR+M0R4i6YSPylUzny0L8AMI8dhD49HsvkIRT+aTHNB4sxD0/HcaSc2Lnje03W3Y3EdGmpJN99FzXvfUjT1m2Yx48Ncs1OpydpkUiXdV9Ks0QyUsqUNn8XAGecKl5K+Uo7y3Z1tE97hD0vIYQgZvYYYs8fR+Vba3t0rAuyDnbpoupvY0U0fHOYirfWtfRelJLkW89HGxeF19ZMyp3zGPzYraQ/sADjoGRUeg21n35D2X8+w+9yk3rXfLy2ZkpfXI4zv6K330pAuAoKWyc6iNTb8HDLOtJ/HBSCS68lkuMvmYpt/X78bm+39u9vEg4Ex5Ey/M1ObF/vw5CV2PocIfflB0/q1Xjw7n/it7tp2pWPp7qBpBvPoXrJZmwbDlCzdAtFT3+E9MveehsBYxw9ioZ1X+NtiMwxsxV5KoSaXhO2NiEa4/B0qj/aGPC+A1nWAIlXzyDtgQX43V68tmaa8qw05VlxN2W1/l34t7UIrYbsX93AsKfvRpcaS/Hfl2BbtxfbV/swDk9HqFU0bj4Uljr3JCKWsuVHxTJ5Is5Dh2n+ZluPj9lfCDS9Eex0iPIdhJde7TiTsfASjjzyMqbcDCzjBoWsnEjOYXcH6fbid7jxNdhRW2JOWtewfiN1H3+C3+HEPHkiqsSpVC39mpr3NwAw8rVH2H/LU6gMOvxON86CSqKnR+7n07hpC7UffYI6yoJ17nkAmCeM791K9TP62/XRn+nVtnXahGjSF15C2b9W9GY1+hxV731N3ZojqM0WYi6Yd9I6jdWK3+EEwFNT27IsLg6VyQhqNYcW/gvzxPEk3XcPuqxMoqaeeYzsYNHdKMxnd1D7wUekLryX+KuuoGF1yzMPtfXbsURCGeH1tsi6Gg33NGoe6HesfYle75oeNXkoRU99gLfRgSbK2PkOAdLbF12wqVxWTs2KnUSdNQ3bsXx8zc14GxqofutdnIePoI62oktPw11aiju/AG9dPahUqAwG/HYHPlsDQqPBvnU77sIiqpYeI/aiIUQNa+7tt3YarmN5aFNT0aW3NP9My30Yv92BUJ/ckzZSxvR+tW6GksdWCCm9LmyhVqHPSMBdUoNmREaX9unqYD39RdZto0jH/jVYZ5+LZdoUnEeOUvP2YupXxGCZOpnEm7+Dt74ex4FDqGOsuI7lgVoFft9JDxf9Dif6QdkA2FZ9jiY6CqGZ1bo+mPLrSQSsz8rEdSwP+4GDmEbkIoRAbQ5vk8TuNO9rL+INtch7+mMR8nGxt+0I2bEHEgELO9jRjPRLfI0OhDbw8UfanmD9caSx9mQnXS5c9fUY7aMRej3mKZMwTxiHacxoXPkFVL/9Hp6yMrSpqaT95EdooqPRjB5F7KUO3MXFxFx4AWpTy52MYUQuzd9sxXy8qdyZyu12W/FuylpKiZSSkiefBlraYfcmgUi7N9s4dybt3pjMQPr9NHy5FtuX64J63IFKr0fY9v1FCL0Gw+CUzjfugL4ia2dxNfj9aOOjT5sFpjPBSSkxjh5F/bIVVP3vNVRGI/bde4k+ZyaNX62n/rPVxF56Ma68fNylZVS8+DLpP3uEuk+WYfviSwAMgwdjHj8W6fVS8ujjABhzh6POGXTGctvW60zyDlYu2VNTQ9nfnkVtjcZna8A8eRLS5Ub6/QjVwBnOoLvij4S0jPT7cRw8hOPAIZyHDiP0elIfWkjx7//Yq/XqD/S6sAHURn1rW+L+jPT6OPqT/6CNNeOuakKbEI9l6mSiZs5ApdN2un/pX/+Bu7Co5YVajdpiQei0NK7fiN/tRh1lRqjVeKqqcRUWYZk0AVdRMbY167CcNQ2VXkfj+g2Yxo6m8P892npcv93R5fcQ6mZctUuXI/Q6fLYGos89B3dJCSVPPEXSXXdgGtk3fpRPpbcFGgiBRtmnjonjqayi8tU3wOfDPHE8sVdcijF3+IC4vsNBrwvbU9eI3+nu7WqEDOn10bQ7n6YdedgPFGPITGDIE3fSeDQK57E8Gr5ch+3LdcRdeSmWiRM6PFbaQwspf/FlnIcOo8/Owl1WhmnMGHRpaTjz8vBUVFH11jsIoUJlMqKOicFx8DBqsxnH/v34GhpbovIDh0FKVGYTMfPmYBo9Mkyfxpnx2mzUfrQU+45d4Pejy8pEZdST+uADNG3ZSsUL/yL9Z4+cMT0SKQ8eT6U3ZN2bUXbZP5/HOu98os+dpUg6BPSqsF0lNZS+uJxBv76xN6sRUurX7qH8f18Qd9Fkkm44B1NuOk15VoQKjEOHYBw6BOexPKpefxvn0WPEX3PVGU90odGQct/3cBUW4covwDr7HIwjc5EeL/h9OPYdAJeb2KsuR5uUSMWif8PxTifGsaNxHj6C9HqofPFfrcf0e32Uv/ASKpMR6+xzThveNBzY9+2n6tU3iJpxNll/+A0VL76Mdd75mMeOAcAydTLV7yzG73KFvW49obvS7O2xPnoSZfuamjCPH6vIOkQEnBSs/M//8DU7g1K4/UAxUZOGYBre/tCa/QF9egLqKCPJN55L1KQhOCpPn1/RMDiH9B8/hH3XXmyfr8ZTW3vG4wm1Gk1sDMaRudQtX0nR7/9I0aOP4yosJu3HPyTl+/dRv+IzPBVVCK0WXc4gEALH7r3g86FNSsI4ZjSmCeMQBj31S5dhGjUCbXIypX/9Bw3rN7b2LAwXzqN5SK8X6XZT/twiUKkwjTo56jdPnkTtR5+EtV5t6SvPSHoTKSVCo6H4j3+h4l//xmuLvDuevk7AwpZ+PzXLtgalcKFR46nu32MbN+8pwHj8gWpH+V+V0Ujc5ZfgKa+g7K//7HC8jOI//oWSx59ECEHKfXcTM38O7vIKKhb9m+q3FqPPyaZ55y7M48fiq6sn4xc/RZMQj9DpUMfGknDDNbhLy0i48XqyHvsdlulnYd+5E6HXU/P2Ymrf+TeWHFvrv1ATe+nFxF12Ce7yCuIuW0DqwntPa2sdf/WVuMvKcRUUnvE4kdRNuq9G193FkmNDCEH2nx4l6/e/xr5nH76G/n1t9wYBCztm3hzqVnY6znaX0Gcm0Lw7n/w/vMXuyx8NWuQeKfidbmqWbiH+0mldkollyiQSb/kO2rRUHHv3n7beXV5B1etvYR43BqHVEHfFZTgOHqJx/UY8ZWUk33MXyd+9HUPOIDzlFWiTkzCOGI59z150mZlItwd/czNFv/493soqql55lZInn6bgp7/AXVJG7GULGPX2z2hYv59DP3gB6fO31CvE0hZCEH3uLFIX3tvygEpzeqZOpdOScOO1lC/6N97aOtxl5e0eqz/3fOwLCLW69fuTno7G71foDgELW5eVid/lwV1e1+PCtYlWYs4fS8zssRiHptK0/ViPjxkpSJ+fkueXYR6dFdBEDetZbskAACAASURBVI6DhzGOyKVu+SrKF71M4+Yt+N0epNdL2d/+ifPIUYRGQ9qPHkSfnYl97z7ir7mSnL8/iS45CXd5OXWfLMPvcOAqKQW/H4QK6XKCSkXq9+8DQJeZQcJNN6DS6TGNHtWyLDUFtVFHyh1zcRVUUfrispB8Nt3FPH4clskTKf7jnyl98m9Iv7/d7U4MgNXX6KvR9an47HZQqVBH9Xyse4WTCfihoxAC85hsmnYXEJcS27PCo4xk/uhKAOyHSnBX1vfoeJFE9ceb8FTWkx3AA1Xp9VL7yae4C4sQBj3OI8dw7DtAzTvvY5k+lbRHfohtzVqcBw/TuHEzqFQgJYbh344Hok1KwjBsKM7DR7BMnkTN4veJv+4a6patQG024amsYtDTT7S2aY46ayp+t5vmrdvRZ2fRlKfFOPFiMjKnUfzo40SddxUqY/CHDOgOQqUi/uoriLvyMgp++kuk240wGM64fShajnS1E00ktIcOFoF+jmqTCcuUSdQuWUryXbeHsGYDj271RNCnx+OpCq5cpcuDyqAL6jF7Cykl9at3kXTjuahN+i7v5zh0GHdhEUl33Ermb36FZfJEkBLT+LGo9Aa0iQkkXHs1Gb/8GYOefoKYuecj9DpU2m/bcOsz/j975x0eR3X27fvM9qrdVe/NlpvcC7Yx3WBM7zX03hMSSHnDl7zpLyGB0FKpAQyYZkwHU9wA9yLL2LIsyep9tb3P98dasmSrdxvd18WFd/bszNnVzG+eec5TUom78lIUlhg8BbuIeLy4N29BBkItDhrffIfKPz2CY/VaIn4/9s8+x7evGNOC4zrsRxUXi3ZcDt59xYP50wwKEa83erMi+luHHA7kUOd11Y8WS3u4reuhdO8IpTLq2pL6nr08Rvf0L6xPlqM1KgaRkMOLwti1tXQ00bJ6F0KpwJCf2batu07pAC1frCbU3Iz5lBNpevc94n9wFf4D5cRefgmq2Nio73rmdBQmI+4t21GnJOPatBmFwdC2j7DHQ/VjT0ar9IXDBKtriL30Ijzbd5J08/UQkan9z3OoM9LwFu2jccVKCIUBSLj5elRxcaji4whUVqFOTUGVmEioaeCur8FGYTCgGz+OAw/9L3Ig6idNuPkGDFOnDMvxB8vKPppcIH21siWDnrB79BUUO9rpl2BLeg3BusF91NQkW/FXdR3OdjThKaoiZtHkIzrDdyfazm++JVhTi/nERYRdbppWvItQqTAtOA4hBLEXnUfNk/9AjkTQT5kUjQKZNRPnuq8J1tWjSohH0unQZGYQampGmZwECgWmeXMwzZvTdpysR6Lp6J7v9uAp/A791Hz006fSvPJDwi5ntDRrJIJkNACC+CsvHbLfaSAk3nIDsixT/diTGOfN6VasRzKp5nDRHimRPvy4Q11SVRUXR6ihoe31aExqOhrps2DXv/wqKkuYcMvg3j3VqbHHzKKjpFH2ufVZ4m03Ufef54n4/ciBAP6ycpJ/dE9bAoJhxnS0eXkAbcWbABxfrcGxZh2xF1+AEALbBefi2rSFYFU1yffe1TbOVCzhzI0gRyI0v/8R7i1bib3ofAKVVdg/+AhVchIKsxGh0eAtKERIEpLBgCY3ZxB+kcFHlmX8pWUEa+uQA0HCDicKc9eLXCMt2iNxzJH0oSttVsJOJxV/egSFQU/mz88ZsbkcS/RZsBUxMYTcHpJvWNDz4D7g2lp8VCfQRFPQy/AUHsC1oxRzHxoDRIJBXN9uJObUk9HmjcNfUoppwXFoMtI7jFPodYQdTnylZShjbThWr0UoFZiOj/4t5EgE+yer0M+YRuwF56KMiVrzpmKp7f/lpV/gKdhFqKmZiNtN3GUX49m9B8+OncQsPhVVrA05HAYhqPrzo1T85o8k3nYT4RYH6pRkFGYTkqb3fvmB4N62nYg/gHHenCMy5yLuqPsHoOmdd2l69z2yH3242/2N1vT1oWYkbhhCoSD1pz9BDgTw7P6O/T9/cdjncCzSZ8G2nbMUAE3K4J34DSs34CupJfWOswZtn8OFHArT+NEW6l9bgyoxBuOMHGLmT8S8YGKn4ztzi/j3l2D/6FOESkXWI38k9ecPELLbOfA/v0IolcRdcSn6KZPxV1RS/fjTKK0WhFJJoKKShBuvQ50UzZ60f/wpji9Xk/HbX7VZm61i3Yrrmw3EXnwhvv370WRnAaCfNKFDYaXWpBXLmWdQ9+wLVD/6BNrcHHwlpUg6LXGXX4ph+tTB+Pm6pfGtdyESQRkTg25iXof33Nt3IBmNRFwuAFQJ8dQvex3b2UuJ+HwgCVRxcUM+xzG6RhUf/f3VqSkopKZ+9W8doyMjXvwJwLFhL7az5qIwjo7wsd4Scnop+cWLKCwGsn5zNbrsI9POe0KWZYRGg2nhfPwHyvHuLUKXN57AgQrUyckYZk7HtXEz+imTUcXaUBj0hJqaUMbGYjnz9A7CqYqLQ9LrD/qfjxRrANOihbR88RVJd9zS49xa960dn0vy3XcQ9ngJNTZS++/nkLQadBPyethD11Q/9U9kv4+U++/rcowqLpZgYxPB+voOgh2yt9C4/C2S7r4dxxdf4SkoJFhTS7CmFtc3G9rGKWNtGKZPw3re2W0W+mBZ2f1pbDDcjLRbpBVjdgvqs+eMCfYgMCDBDjY4UMWZex7YA0k/OIWyP7yO5cQpKM3D21Gkv8iyTOUTKzFMyyL55jPaBCFQ30L1vz8m9a6zUcYYjvicY+Neqv79Jbq88agS4nGsWRcN3Zs2Fe24XFwbN6PLG49u8kTqX16GccFxuHcU0PzxZyh0WmKvvIxQQyPNK9/HtGB+h33bP11F/HVXIySpU7EGMB+/AMeXq/GXV6BJP7LDz+FiNv7J21DFxaDQt+Dath9lrBLL6afi/GZjvwU7WFePb29R2+/YVaGgsNOJJiOdUEvHNH2F0YAmIx37x58Rf82VxF4mgwzeon3RWizVNShMJkKNTbR8/iWBmloSb7nhe1VPu5XBcocM9CanHmDOxhhR+i3YLTuVHPifv5H5y8sxz+u/pQWgy0tBFWvCs7cS85yhbwo7GLSsLcS7v5b0By5CCEHY5aP58+00rPgWVayJA4+8Tdb/uxKpXScdX1kdFY+vxHbBRQTrG/DtKyb24gvQ5o1HCIF91RdwULwktRp1aiqNry7HOHsmvqJ9qOLjcG3eihwMknDT9Sgth1wrcihEqKkZbXZWt/MWSiXqlBSCDQ0dBLurC1KbkdD278YPNuH4JmpVtk/W6SvKuFj00/JBiG6ruoU9XgwpyYQOK4YllEqS77uLphXv0fDyayTefjNCCExzZ2OaOxs5HEYoFLi376Th1eV4C3fjLdyNPn94wv6Odg6P0f4++v1HK/0WbDkcjYIo/8vbWE+bTvItS/pdUrH25S+RQ2GMU7P6O51hxzA5A6GS2HvH06hsJnzlDZhm55L+4wvQT0ij/C9vU3TPP0i4bBHazARc20qof/trUm5ZguWkbFwlR9a+VhgMuLdsIxIMIqlUKEwmbBedj/n4rhd4nRs2op80kaaVH6CbOAFJo+nSugbwl1fg21+C7cLz2rb19oLM/MVlVDyxkuZPt6GbmIe3aB+68eN69dn2CEki8abrexynio9DabXgWLu+TYTb9qFQYDv/HKoee5Lafz6DNicbVXIigYpKIj4/1rPPjHbWiYSpf/4lvHv3DbpgHw1ukb4yVi9ldNNvwVbGxGCeP4GQ3Y1rRykt6wqxLOrdBREJhAg2OlCa9dS+uhrXlmJy/nAtkqbnriujBVWsibwnbidQ30KwwYE2PR6l5ZALJOPBi3Fu3kfTx1uof2MduvEp5PzxWrTp8V3u0zBjGo1vvI3s99P8+Vd4duwk/qrLuhwfbGqi8bU3aQS043JIuOHabucsyzJN776P5YzFqOJigb5bTyFv1GUVqKym5bPPSbn/vrbFpa6OSTjcaUGnrmi94eh1iagq/GgMNjyFu9vqY7ciFAqS77oNT0EhvpJSmj/6BHVSIoHqGiS9HuuSxRhnzkBls6FKHpq+kMeiaI8xehmQDzv9/gvYfd2jJF51MjXPf07MgklHJIscjuPbPVT+40OEEASbnMQcP5mc31/bqb93tCOUCjTJNjTJtk7fN80eh2l27y1Qx5p16KdOQQ6FsX/8KQk3XtehjkfY5cZXUopuYh6SSoWvqBj91ClYzzoTpc2KUCq7ta4rD3xBxONpCwPsz6Ou7YJzsZ1/LvYPP0IolUjarkP8wg4nFf/3FyIuF5qcbJLuuLXHVmjt52+ZMJMDH75I7LTjaX5tBfGK8XgmdzyepNVinDMLdUoywdpagvUN2C48D9P849rGtG/KMPZ43zVj1vXoZ0CCLWnVpP3wfKqe/oCQ04N3f02XlekiwRA1z32GY8NeMh64CMPkDOSIjJAOuVFkWcazu4JgvR1Jr8E4PQdJPSoCWYYcX2kZLV+uJuW+u/HuLcIwLR99/mSCDY2o4mKJ+HxUPvxXhEqFYcY0bOeehRwIIOl0qBK6ttpbqQvtoeWL1aTcf2+v+kd2Oc+ifdT+8xk0WZmk/vTHKIzGTsdFAgHq/vsKEZeL+Ot/QP0LLxOsq0OT1vtYe1N6HvGzTqFp1zcYUrKpXv8+aZpLcOZ2rNLn3rmLhmWvY116RjQztA/W/LFKa3RIbxcdh1Ksv6/x70PBgJfNYxZMJObEKRCRcW4s6nRMoKaZ/T99nmCDg/GP3YphctTiaRVrORyh+YsdFN35dyqfXIljYxENb33NnlufoOmTrcPeAWUkkEMhlFYrqoT4tloe1Y8/TcXBzuaONevRjs9FGWNGEWNGDodxfrsRTfaheiWdWdeRoB9n6W7qX36V+B9cidJq6fccXSUxhFscKG1Wku+9s0uxDjY2UfbAL6KRIJJE/fMvYZg7G3VyUp+PaZ04m0BLI+qYWBzFO3Hs39Xhe/orKql/8SVsF5yLadHCMbE+jNEQ1jfG4DHgs9t3oJ7GlRuQDBrsawpIvOqkDu9HguFoyN5J+cRdtPCIhUl/ZSMHHn4TSaMi5falGKZltY3xFldT8bd3ce0sJf2+8xDKY6/6VyQQwLFmHc6169vqB0d8PoQk4S8tw7RwfvTJY+dO1KmpBAMBzIsW4ikoBFnGODdaJ6QrV0jxm08DMpYzTkM3YWAROGGXm6aVH3TaEaY9gaoqFGZzNJROoaDyz4+iMBqQI5FuP9fZd1AZLWRfcDuVX75J8gnnU7XmHSq/fJOgy07CzTegzc5EnZxE0zsrIRzGtOC4TvY8RncMlnXdU4GzYwUhxCXAZcB8WZYzDm7LAP4FmIEAcJ0sy2VCCDXwd2ASoAUelGX5MyGEAvgrcBxRw3kzcK8sy912fRiwhe3cVIQqIYa48+cjB8Md3ov4gxTd/Q/UKbFHiLWnqIrKv39A8c+ex3bmbHL+73qM07M7jNHlJpP7yE1E3H4O/Pkt5FDH/R/t+EpKqfjd/+EvPUDCjdeR/KN7AFAYjbR8/iUA+qlTaFi2HDj4NBIM0vjWO7g2bibscEbD2Tq1rAM07d5IwNGEKWsy5kUDj8d1bdmKbuIE1KndN2TQT5oIInrjkUMhFCYjjs+/ovyh3/TracmYPh5DSg7O0kIS55+JMWMCQqlCk56Gwmgk5vTFyMEgrs3dd0L6vjyW98WqHi6/9TEm5PXAnUD7etDPAE/JsrwQeBh48uD2BwD7we3nAn8XQmiAs4BUWZbny7I8D0gELujpwAPPJBCCmAWTiL9wASG7u62tFECwvoVIIEjGwVhlWZYJ1Nopf3QFZb9/DXWChZzfX0Ps0tldhgRKaiUZP78EZJnCa/5K/TvD3yR2qPDs3IVh5nQSb7oOTXpa22+gSoxHYYlBlZRI3fMvEXG7SLrrNmJOPxXLktMPNinIZfxF93Yq1gFHE0Wv/pX6zV8Q9rnRWHr2cfdqvjsKMM6a3uM4oVQSf/UV1L/4Cv4D5W3nhCYrs1+hn0IIEuachreuksbta/Hb6xh36b1YG6PJGBG3G93ECSTdeWuf9/19ZijE+vtwU5Rl+StZlttKEQoh9MBEWZZXHnz/AyD/oHV9DvDPg9srga+BRUAFoBRCSEIICQgChT0de8AuEaFSEgmGkDQqFHoNoWZXW/ajOsmKNi2OXVc8jMpqJNTiRigV2JbMIu/pO3td3F9SKcn8xWX4q5oo/e0y1EkWYuZ3XqsDQI7IODcVDTihZygJu9w41n1N4s3XH/Gead5cTPPmEqipRahVKK1WhBBIGg0qm63bSBAAR+luVEYLWefcQMHff44uPhXtwWp9/SESDFPx1Hp8RfuwLj2jV5/RTcjDtPA47Ku+QCgVZP3lT92O7+k7aSxxTLjmpx22ybKMc8NGWr5cg2XxKd/LTMae6GrR8fsQEaLw93xedUGcEGJTu9f/kmX5X92MtxC1uttTB8Qe/K99A9JqIEGW5VVCiK+A1gvjS1mWd/U0sQEJtqskhmCdHYVOTcQXIOzxo2gXnieUCrJ/+wPCHj8huwul2TCgJgWaFBvJN55OxWPv4iutI+HyEzq12BzffMeBP73R9jp/xS/7ndQzVEhaDcZZM6h/4WVUSYkgyyiMBmJOO6WtSl9rUSfo/Ynnt9ejtSZQ11RDwd9/TuY5N6KNTTpCrPtkCYXDONasJe6KS1F3ks7eHlO7G4P5xBPwlZQRqKjsdjGwnxcV3roKGl57DaDHSJnvg+V3OJ2J9WAIdU9RH8eAL7tBluU5PQ87NJ6oMLcn/uD2WiABaK2vkATUCiGuBdSyLD8IIIR4UAhxoyzLz3Z3oAFb2M6NRaQ/eBGeoiq0mQkdUrFbUeg1KPQa/JWNlP5mGUnXnYZhSkYne+sZ89w8xj12C2W/ew1VnBnb4kMZg74D9RTd/Y+214ZpWZjnjmfvHU+T99QdPcaIDxeukhiEEuIuv4TAyScStrcQqK6m+b0PiFl8aoexvRUzR2khNes/JORxRJvTyhGSFpyFOWvSEWP7Kl5Co0LSG9Dm5iCpu27j1r6MqzM3gsJoIPmu27rdd3/FGqKuH1ViAuZFC3u8kYzx/bCqRwJZlgNCiJ1CiDNlWf5ICLEY2CXLclAIsQK4GfiZECIRmA/cCvyGQyIOUX94j1EBAxJsWZYJ1LegTrRS8vTLWBcfmW7dnlCLB893FdS8sIrch2/o93HV8TGk3XsuJb9+BdkfxDA1C8c3e2hcuaHDOG1WItXPfBp9IQlCLW6CTa5+VdUbLA63PNSJCURizDS8/gZxV17eob5Hb8WspXhnNIri+HOx5M0EZGRZRlJE/7ztrevOxLo1U6+rC7rqnx8RbmlB2U1GY38YiFgDBF12dBPyMJ+4aJBmdGwwVJZ1K9/Hp5VecBfwvBDiIcAPtArc48AzQohviUYO3CXLsl8I8RfgP0KIrQfHVwE9ltAcmIUdDoMsI5QKQk0uDJM6WjnuwnJa1uzCMD2LmPkT0U9KQ9Jr8HxXQSQSQRqAz1GXm0zmTy+h8YNN1C1fi3leHpn/7wr041OQQ2E8eypx7SzFevoM7F/sYM8tT7S1NZMMWia//JMOSTvdUfH4ShQGLfGXLBxQRmZXj4mNb72LNjc32nT3IL0VM299JZVfvEHqqZcSk3ModVvQtVD3JZXaubUYxzfFxF5+SbdupcPna+rBZz5QsQYIulpQpI/8o/dIpadfY13fq8SY4basj3J3SK+RZTmp3b/LgFM6GRMArulkex1w3uHbe2Jg5VXrGxAqDf7KBmKOn0TLut1os6LWq7+qifK/voM2M57GPyxn4nM/RNJriF06h/o31+FYv7vXtUe6wpCf2aHRbStCqcAwJaPN7ZJ69zn4K6KLumW/f51AVRMVf1tB+o96jKIBIBII0vzZNhpWfIM2JwnLCZMxzshBm5PUa994Vyexe9sOfMXFpD7wo7ZtfREz15q12PIXdBBrGLhYy+EI9q920vRFCaGm5g7p3YfT1Xw7E+2BW9Ut1G1aRSTojybUpHW9+Hy00Sqsgyn+Y26QY4t+C3awoZHqx5/GevaZaDMTCXs2oTBEFxQD9S3svf0pACL+AKn3nIsq1sSe258icLDRrnnu8EVwCCHaii5l/PRi9t33b+xf7CTl1jPb5twd6fdfSMyCiTR9sg3X1mJq9tcglq3GOC0L26XXI2kP7aOzx8WuxDrUbKdh+Vsk3nJD2z56K2jWPQFK931Gc+M+spfc07a9O/dHb4Ug4g/SsOJbal/6AnVGOsk/vBtNF7HXPc13MCzpVsIBP7uf/V+EQolSZ8ScPZmmT1YRc9opo25ReSD0pSt7T/sZ49ii34Lt2rgZ45xZmBctJNRcgWP9bvL+ficAKqsR29LZqBMtWE7KRxUbDfNL++H5hBodqFNiR6wyny47iYQrT6Ru2Wqqn/2UpOtOo375OryltehykohZNPmIeihCEsQcP5mY4ycT9vhpePdbGlduwFPcgOcPD6ObOJGYk09AnZJ8xAp6V2Jd/9Iy3Nt2YFl6Btqs6FNCb8TNuicAQGPdbmqrtpJz9b0o9dEMyZ581d3R/uJ2bd1P7UtfAJD64847wgymEMvhMP6WBpR6IwqNvkvxVag1jLv8R5S9/xxCkmjcuR79jGnHhFgfLq4DdbOMlFh/X9whI0WfBduz+zsC5ZVIWg3hg/30ql7YguWUaW3+XaFUdNqf0TBxdKzkJ155EnHnz+e7m/5G86fb0E9MI/7S4/EW11D6v8vI+n9XdNkQWKHXkHjFiSjiplD34isYZkxH0mqpe+ElUh+8H6FQ9HjSypEI7m3bSf/1L9vqcfQkgK1C3UrZ/i/InXgWij6IdVci0P7irnlhFf66qABazz6z0/0MplgHnM1Ufr4cb0MVkYAPbXwqsfkL0cYl467cj7PsO5AjICmQlCpMWZNIP/1Kar7+EJXJSvy1V/fqOEdjAaL+ivaYZX3s0mfBloMhmt//EKFSYj33bMIeD64NG8l78ujKMlPoNcRfsIDal79E0qoxz83DPDcPXW4SZb99jcyHLj9CtNsLsTY3hqQ7bqH68adJ+8UDeIv24d66HeOcWT0eO1hXh8Jk6rdY+7x2vJ4GpIXTgENi3RtBOtxP2v7i9pbUUv/mepAkNJkZaHKyj/j8YIp1yOdh78t/xjblOLLOuYnmPZup/Hw51S2NSEoVuoR0bJPnIpQq5EiEiN9L/dav0CdlEPZ78TfXEhcMdlufZLgYKnHt635HUqzHrOuhp8+CrZswHqFWYzvvbIzz5uBc/w26yZMGpbfjcBN/6SKMs3IJMx5XSfSnkOLmEnuZgZJfvYb1nKUoTMYjCucDhJqakfQ6NJnpOL/ZGO187vH0SrA9u3ajmxRdLOurWAPUVm0hLmFSj0LV2QXUKuqHX9iukhgaXv8s+iISIVBVfUTPx8EUawBPdQmamDhSTjgfANvkeejiUxGShDa284YDaks8xcsfx5w9haSf3dNh/eBooi/C2lvRHhPrY58+C7ak0aAdn4uk0yFpNCBJSCrVUfXI2eHkUlo43AOqz59M8t23U//SMgKVVSTceF1bB3FZlnGu+5rmDz4GOULEH0CTGfVBh50uAtU1PZYRVcbE4C8p65cA+rx2KsrWknvlkb7lwy+aSCB4RO1rV0kMvv0luHcUoE5JQj9lMgqDgbDDiW5CHu6t24h4vCTedlP078vgCzVAw7bV1G1aReL8jm4XXXzX9bJlWcZTXQKA0hjTZ7EeLedof4S1O9EeaRfImFgPH/1adNTm5uAvr0A/dQq+fcUoYw/Pyhx99PWkknQ6dJMnoZs8ica3V6CfMgmEoO7FVwhWV5Pyw7tR2qwEauvwl5QCoEpKxL11e4+CrcnKpOnd93qcQ+fW9WYSk2d0KOh0ePhcqKmZ5mdex1VVjNaaiDE9D0NaLpFggJZ92/HWVWCbPA/36q00vvEOklCCHEGflEnycWcTM24a3vH6IRFqAG9DFXWbVjHusvtQmzvv1tNKJBSkced63FX7cVeVIKnUJM4/k8Yd61BuzcUws+diVKOFgQrr4aI90kINY2I93PRLsFWxNnz79hNuceDZUUDKT3442PMaNPpzQgVqaqj66xMY587Gu3sP4WY7zg2bCDsceLZtB0AZH4cQAk1qCmGHEwDtuFycX3+DaeH8Dh3Nj5jTps3oYrrvMdiZWAME/C6EEFj3BGiecChN3FQsIUfCeGrLqfvsVSwTZpF17k14G6pwlu2mccc6FBod+qRMMpZcjaSMflaWI4TcTpQGE9GiYa37691v1R+aC7/Flr+gR7EGsBdto3rNCpQGMzkX3AZC0LJvB0q9Eff2HaNKsIfDCh4NIt3KmFgPP/2zsMePo37ZchQmI0Kt6rYJ69GI0mJBSAKlxULyPXfgXP8NgfIK5FC0U7xx3pyOdbvzxhGz+FTMixYgFBJ1z72I9awz0WRltLkVWvFXVOL8cj15V/2kX3PLyDmFbRv+QYw1i3im0TxBTcjjYt8bTxBwNKLVxJCVexqJ5tmI/QApYE0BKx0EvhUhJFTG4bvw5HAY+56t5F56T8+DAeuEWWgs8TTuXE/N+vdRx8Th2F9AwtzFSKdO7vPxR8ItMppEdrAYE+uRoV+CrTAY0E0YT/PHnyFUKsTBgkCjxUc4UCStluR77qTlqzVUPvwXLGecjmXpGdQvex0A14ZNxF56cZt/WCgU2M6NhjFaTj8NEDR/+DGBqmqsS8/AfPKJbQIvlAqEEKgMXS/SdmVdA2i0ZpJSZ+NyVhOfNA3zLhd7CpYTZx7HuLk/REhdL0R2td/OhHyoaNlfgNoa3+sa3UJSYEjOQp+QTvFbT+FrqCLoshNwNGE0j/6F7mNRrMcYOfoe1heJICQJy5LTqXr4r+in5o/aOsQDsQLUqSnEX3U5wfrTqH/5VXz7irGceTqebduRA0FCDQ2oU450awhJwrpkMdYli/FXVlH/wkt4i/ZhPmERkk5L47PLiJ0+NntLXwAAIABJREFUsGJFoZAfgaCpoYiiwrcxWzLIHr+kW7HuDuueAKGQH4VCjRCi3wLe2Q3h8H01bF9N/IwT+7xvoVCQceY11G/6HF1COtLc3H7Ncahp7xY5VsV6zLoeOURfurcIIWTLktOxnrUEiDZblTTqDs1YR5OFPVgnlhwK0fDqcoJ19eimTMb+0ScQiS7ypf/6l4Q9Hjzbd+Dasg11cjIRn49gTQ0RfwDJoCfscCJp1IiwIPXkiw5W1Oua7ixsAJezmoItzwOC8ZMvIDY+GiKoK6hsG+PN73138pKijykv+QqdPpbZC+9Dkrq/jzdPUPc4x8PHA4QDPgr/82um3Pa7tkqCrUSCAapWv41QqoibfkKPFnh/mzHA6DpHj0b6e12V3PcTZFketrRUfWK6PP6K+/v8uR2P37+5j/Wwh40+W9jB+mgRpUBVNb79JRiPmzvokxptCKWSuKuvoPmDj3B+/Q22C86leeUHWM9agsISQ/1/XyHU0oLpuHko42xIOh1hp5OGl18DnRZCISKhEBNveAi1ydrtsXojhEZTMnMX/RhdYTWKWiXUVh4xpr14d4U3P5VIJExt1VaS047D465l5+bnCIV8JKfOxd68n/jEqcQnTe3zHA8f3zxBjbe2HF18yhFiDVDx+XJkOYJSUlLx+XJyL7qzT8cYY3joTKxlWY5W7RylT9rHEv0Q7GgnHO93e2ha8R5EIqOyHvFgP7YJIbCdvRT9xIm0fLUapc1KzKknA2A6fgEtq74gpl2bqkBVNQDarExiL7+UmKqua2T0B4VCjUIMrDqurqCSlkAtfp+dqvKvyZ91PR5XLUIoaGrYg9GcSuH2lzkx8Q8dIkj6i7u6FH1SVufvVRaTc/FdNBV8jS6u+ya/A+VYWWsZLTi+XEPTu++hiDGjiotDP3ki+mn5qOKOrWCE0UCfr/hAeQW+0jIca9YhGY34SspGpWAPFdrcbLS5HVO2DbNm4Fi3HsfqtcScfMg/K1QqjPPnYak2cER2zgDpjQXdG0yqeLQKE0alldj4iW3ulbSsRdibimmoSx4UsbbuCbC/aj+x+Qs6fV+h1eNvqqGlaBuZZ10/4OONMXwIpQLj3DlYliwmWF2Dp2AX1Y89hVApUZjNSAY9CkP/68iPcYh+mWh1z7yAZcli1KkpNL61YrDndNQhhCD+qsupevQJdHnjUacko4yPQ2m1EFy7C/oRfjZchOUg/rAbizqp7SbQ6v/W6qy4nTUEAx5Uav2AjhMK+fBUl5K59LpO39faEmkp3gmSAm032Y6t9NQgYYzBp6unVoXZTMSzF1WsDVWsDX3+ZORIhFBDI2G3m7DLTcTlwrVhU6efH6P39Nl0koxGjHNnYVo4H1VsLIED5fjLK4ZibkcVgaoakGXcOwuAqN/bsuR0nAeGvxNJX1BJGo6Lv5iWQC07m1fREqijacNnFBW+w9Zv/0523pkoVboBH6epfg+GlGwUmiPTycN+b1und2Na7jFRLvX7hMJsIuxwdNgmJAlVQjza7CwMU6dgWnDcyEzuGKPvgq3RYDvvHIQkoTCbsF10Ps0ffDQUcxsQw+2jDNntRNwe7B98TP1Ly/B+t4f6/76CZXz3fS77w2C5Q1qxqJM4PuFKJKFgZ/On1PtKMbUomWM+m4zskwYsoLIsU3lgPZa8zgtjNWxfgzknHzkSRtXDomx7hip1foy+4T9QjsJkGulpfC/o8xmvyUijfSigce4cfPuKkcPhQZ3Y0UbMiYtIujPaIdxTsAsiEZR6E7FTe+65NxpQSmqmWE5mUeLVzLAtJds0E7M6Hl1B5YBvEHXV24hEQlgmHCnYkWCAhm1rSJy7GI01Acf+gk7PpaCrBVdlMZFQ3yJUxhg85HAYb9E+fAdr50R8PuyrvsD+0adYz146spP7ntBnH7Zv337K/99vSbz1RjTpaQiFBLIMYyE9hN1u1CnJmBYcR8Ory8lcem2v6mX0FW9+6qBb2T3R3xhve9N+ive8T/7Mawl3co5EQkGQI2isCagt8dj3bKFx5zri2iXXNO36hup176PUGVDqTeRefNfAvswg4t1fgybFhqQdvmzRkcC5dT/V//qISERFxOfDOGc2zvVfo5swgaS7b+80iWyMwafPKpvxu1+hyczAs3MXEG3WKkdkZL9/0Cc3UIbbLaKfPBHJZMJXUkb81VdiTB2d2XgDpbc3i4a6Qgq3v8ykaVdgtnTexFeh0REO+JHlCEIIYqceT8v+AmQ5uqDYtOtbajd+Rta5N6FPzECXmN7h8yPpFvHur2H/z19gzy1P4ty8b8TmMZSEWtyU/XE5VX//gKQbFpP60x+jiosj4vGQcv99JFx3dZf9PscYfPoVJaJOS8GzowDzooW4d+xEk5Z6zNUT6Q+SVkvyne067wxhxbuRRldQ2a2lHQx42FvwJvmzrsdsSe9ynJAkVAYzzpLdmHOmYEwfR+03H7L7mf8lZtw0mndvQm22UfLOPzBmTCBp5jlD8XX6TPPn26l+5lNS7zwbVXwMZX98nfQfno9p9riRntqAifgC+KuaQAgqHluBYVoW6T++EEmtxFUiSL779pGe4veWfgm25YzFBCoqcW/fQcTvJ+RwjNosJ2N2y1jtgyGiO9FuatiD2ZLRrVi3knnWdZS8+x/iZpxAwtzTybv6AZzle2nYtgalzoAuMZ1xl/8ISTmwRKHBpGHFt2Q8eDHG6dn4KhoQkkTI7h7paQ0I7/4aGt7+Gsemomjj7HAE8/wJJF57atvC89j1NLL06woQkoT5hONpemcl6vQ0DDNGT03izhg7yYYfrc5KINBRwA6v4d2KPimT8Vf8iKJXHyVm/Ay01gRM6XmoTVaKlv0F64TZgz6/gTwJtlqg+oNNpRveXI9t6Wysp43u66AnKp5YiXluHnlP34nKauz5A2MMO/02ixUWC2Gni4jHi8rW+1CsMQaHviz8jQR6Qzxedx29LS6mNtsQQqBQH4rT1ljiiZt+Ivvf/jtNBeuHaqp9xr62EOP0bCRNtLyuNiuR5lXbCTY6jxjrLizHuXkf3pJaXNtLkMOjM9knUNNMsMFBwuUn9CjW31eX52ig38+YSksM+qlT8Oz+jtiLzh/MOQ0JY1b28KJSG0BIBAMu1JpDMboBR1OnkTMt+3YgyxEU2kMZlXIkgtJgJu20y7AXbe8QOTIY9NfKVmjVRPzBDtuCtXaaV23HevoMAjXN1C9fh258Mo5voolTciiMv6KBic/cNyobVres303M/InRqK8xRi39/utIGg1xl19Cxq9/ifIosbCH2zLoT+p0X2pRj3Yr22BMxOWsbnvdUFfId8//jpbiHUeMbdy5npQTL+xQya9x5zrqNn5K9foP8NSUDckc+3MTF0oFEbev7bU62Yp+Yhq+slr23vk0Bx5+E/O8POxf7MRXUot+QhpJ15yKpNeijB2dCSYt63ZjXjhppKcxRg8MeBUnWN9AxOtFk3Focen7HCky3IxETDZEsxd7yoCMsWZjbyrGFpdHOORn3+53yck7i/JPl5Pmy0KpjLo/mieo0dgSCHk6uhS8teUkHX8OapO12w49A6Wv56t9XSHWxYcyWM3z8jDPywMgEgiBAEmlxDgzh+pnPqHpo800fbSZtPvOI1DTjCZ58GPzB4K7sJxQiwfjtKxejR97Uh05BiTY3r1F1D37AnIoRMoD96NOTBiseQ0ZY66RgfNdyxrK3QUo1Hry6i4kNqFzyywuYTI7Nj+LUqmluXEfFlsOaVkn4Gg5QGXZOjJzTwOii5GNsclHWNEKnYFASyO2SaOr5rouKwF/ZWOn70nqQ5eUOtFC5i8uQw5HKPv9a1Q+9T5KmwnLyfmE7G5Sbj5jVCTc1L+xjviLF465Q44CBvQXUiUkgBAY5szGubbjotBoFsXhtP6H2i0Cw+saaQnUUu0pYqr1dAJ+Byq1oS3J5XBMMWlMn3srHncdcQmTyZt8ITs3P0tDbQEVZevw+6MFg5onqFEZLQSd9g6ft0yYTXPhhmg25BDTl/NVPyWTxpUbqH7uM5pXbUcOdV+WQSgkMh68mOzfXI118XTCDi+yP8j+h17qdKFyOPGW1ODdX3PUR7gMJ0KIS4QQrwshDrTbliGE+EgIsV4I8aUQIvPgdrUQ4pmD27cIIRa3+8y9QoiNQohtQohedeUekGArLTEYZkxHDgRwb9/R64iA0cCx5rLx5qcOi3BXefaQYZxKtbYOgO2b/k1DbUGX442mJCZOvZyktLkUbn+F5sYitDobKenz2bvrLZryVASczbjKi5BUHW9U+oQ0NNYEGncOT4RIb0XbMDGN7D9ci8KopenjLZQ/tgL3dxUEm10drgFZltvEXNKqMeRnknjFiaTeeRZp91+AaWYue+/+BzUvrBqS79MbGt/bSOzZczo8GYzRI/XAnUD7E/YZ4ClZlhcCDwNPHtz+AGA/uP1c4O9CCI0Q4njgSuB4YB5wgRCix7ZkA/4rmU9cRPXfniTi9SEHAgiNZqC7HDZGs3ukr30TWxlqn3aD/wB5s68ixZLOhPyL2bDmEXSGnl1h9sZigkEPc47/EZvWPYpKbcDjqsW+ZwvOst0EXS3EzTipw2ccpYX4GqpIWnjWUH2dfmPMz8SYn0ncufOo+s8nVP/nYwI1diK+AEqzHk16HIE6O4HKJiYvewCFoWNZWSEEiVedhGnuePb/9PkOySnDRdjjp2X9bvKeHmvH1hdkWf4KaPt7CSH0wERZllcefP8DIcRTQgg1cA5w3cHtlUKIr4FFwGLgOVmWAwf38SxwPtBt0fABC7Y6OYnE224m1NSMdJhYHw2Lj8Mh2s7cSL9qXgxEtGHwy7ACGOIzcToqMFvSqanYhEptxGDs3dqFQqlpq619oPhzgkE3VWtWICmUZJx5DYaUbEJeN1VfvUXQ1RIV8Vkno0/svA4JDKwZb3tC9hZCzc1AVp/OWUmrJu3uQ+nyEX+QkN2Nr7SWuuVr0U9OP0Ks29O8ajtxF8wfkRrgzZ/vwDg1ayxJZuBYiFrd7akDYg/+V9NuezWQcHD714dt77Fo+KA8B2mzsyA7azB2NSIci6INHX3bAxXv1n1JBQr27V5BQtJ0qis3EvA78PvsaHXdRz7ojQm4nTU01X+HLS4Ph/0A+uRs5HCQ2GmL0CdnEXA2U/LOPzFlTkSXmEEk4MM6ceibV0eCQcp/9VsAsv/2yID2JWlUqBMtqBMt6CdnUPyTZ7F/VYDlpPwjxnr319CyuoDxT90xoGP2B+/+GupeXU32b64e9mMPFwqf3N9rJ04I0d7S/Zcsy//qZnwDUQFuT/zB7bVEBbq1w0PSwW2t2zlse7cM+bLwaHU5HM5ofhLo6yJkZ7T6uPvq5/bmp9Kca2D7xn+xce1f8fmiv5PX28jMebcTlzCFqvINPe5Hq7Oh08fi9zlosR8g7exrEJICbWwyKr0Jf1MtxcufwJa/gJQTLyB+5kkkHrdkSMP5Wql/aRkAtgujCWCDdc4qTTpS7z6b+jfWddguyzKunaWU/OplUu8+Z9gt3GCzi7Lfv07K7Weiy0ka1mMfJTTIsjyn3X/diTUH3Ro7hRBnAhxcWNwly3IQWAHcfHB7IjAfWHdw+7VCCJUQQkHUbfJuTxMbW2lox1Bb2v21smFglvbhHC7ah/dybE9D3S727nqbtKwTUKuNlBR9gkptoKJ0DdnjziAlYwHbNvyT1IyFaLRdi6sQgqTUOTTW78YyeQ6lK/4d3a6YQM3XH+JtrCLtlEuwTZk/KN+xtwRqavDuKkSTnYX9o0+IOfmEQd2/NiuRkN1N7StfYTl5KvVvradlzS4knZr0+y/ENDNnUI/XE5FgiAN/egPrqdOwLJoyrMc+xrkLeF4I8RDgB244uP1x4BkhxLdEW3HfJcuyH9gkhHgX+BYIA6/Kstxj08thEeyjwZfdymgXbWDQhLuVrivu7aWocAVTZl5DjCUTe3MJQghmzb+XygPr2Vv4FtPm3EJy2jy2fPMk80/6WZcd1oNBD+GQj4a6XUy97BHMWZMI+b1Y8qIJKL76KnQJaX2a90D91yG7nZon/0nspRdjnDeH0h89iBwOIxSKAe23PUqTjtw/30Dda2souu9fWE+ZyoR/34PSPLCmxv1BDoU58H9voIo1kXDlST1/oAtar+Wj5el5qJBlOandv8uAUzoZEwCu6eLzjwB98sGNWdidMJqjR2Bwre3ukGUZgzGRGEsmAC1N+4lLnIKzpQKDMZGK0jXIcpjs8WfQVL+bluZSLLaOFmPA76Rs/+fUVm0hHPJjm7oQIQSmrI7JNn0V68HAuf4bDDOmYZw9E/vHnyIUCoKNjXgKCmms34ekVaO0GDHNyMZVUAYRGdvS2ajj+3ZuqJOspN13Hqn3njtiDYbliEz5o+8AkH7/BQhp4PMY7dfJsciwCfbRZGXD0J6MrZbhQLqlDJW13R4hBAH/ocQOj6sOozmF7wqWY7XlkpA8E0mKnkJxifnUVm0lxprVZmW7nDXs2PRvEpNnknneTRhGWQcehcWCe/tOqh9/Gn/ZAYRKRdWfH0UoBKr4GORQGDkcwVN4AP3kdAjL7PvRf8j65eVtpVX7wnCKtXd/Dc4txRjyM9GPT6HutTUE6x1k/+4ahPLIJwhZlvFXNqJJje3TPMes7eFlzMLuhqE+GQfiHmllqIQ7HA6wb/e7ZI0/A1mOUFe9nRZ7GdkTzqJs/+eMm3R+B591Utpcdm56hvWf/4YZ827HYEqirnobyWnzsJxz7qDODfruDgm73DStWIkmOwvPzl34yw6Q9rOfIBQKGl5djm7iBBJvvRGhUHRrWChjTTR+sKlfgj1c+A7UUfLQS8QcP5mqp94n0OBAoVOT+5ebOiTI+Eprsa8tJGR3469oxFN4gPjLFpH0gyOe7McYJQxr8YCj9S48lE8GztzIoMQSN09QD0o0SSvOlgp83mbqqrby7er/o6JsLZOmXUFF6WoAPO66DuM1GjOzFtyLSm0kEgkBUO8sQjXryHC2kaDuhZcIO5x4dxUiabVE3G78Bw6gycxA0utJuPHaHsUawFdcjS5vdFdJbP58B7Yls5DDYYyzc8l78nbGPXZLh2gU5+Z97P/lSxCOoMtJIv7C+eT94y6aPtyMv7ppBGc/RneMWdi9ZDisbRh4U9n2oj0Qq9tiy2HByb+gqWEvWePPwGiKdsWuqdyIEArKij/HZE5DqTqUFNLcsBdZjhCck8mB8n0EXc3ok7pOeukv/bnBycEglnOWohuXi33VF7i3bKXuv8tQxcdhXrTwiKSvIz4vyzR/ug3Hpn0k3Xh6f6c+LHgKy0m89lTqlq3G/ek2JK2auPOj0TdyRMbx7R4qn36/U9dO3PnzqVu2mvT7LxiJqY/RA2OC3UeOBjdJKwMVb5XaQGLKzA7b4pNmUFO5GberBlmO1skIhwOEQ34ciRH8O10Uv/kUQVcLGUuvRUiDF3EB/Y8MkQOBNlG2nHYKltNOwbVlK4Hqml6F8tW/sQ77VwXk/OHaUZ8ZGKhvQZ1owXLKVMIuL77SOr678TGUMQbkQAiFQUvmTy/p1K1jmjuO5i+296p87hjDz7AL9tG2+NgVQyncg2Vtt2cwLO+m+j3s3PIc8UnT0WotbP76cVRqI25PPZJKjaRSozbbsOTNJHbqwlEj1gBhlwsOaxRtnNXxZnT4eRlyenFvL6Fl/W48eyrJffgGVKO0AUErzZ9vJ+ILorKZ0E9Mo+61NWT+7BJCDg9hhweEQJ1i61KMtRkJSColLWsLsZzQuzjto9XVeTQyZmEPkKNNuKH/4t1Y/x0AshzB464j+YzLAJmstPEgBM2FG6heuxLrpLmjSqy9e/YSbnH0WO9ZDoWpW74W58Yi/NXNEImgn5hGzIJJpNy+dERip3uDHI7gK62l8f1NeHaXk/vHaxEKCU2yjVCTk4g/iNKs79X8hULCdtYcGt/b2GvBHmP4GBPsQWI4hBuGVrx7IjbvEqyBc1BoogWcIuEQBU//DOvE2bgri1Fb4sm56M4OjXQHg4EuysqhMJJejzqp6zRslaaE4gffQmkxkHLrmahTbChMuhF3C7h3HaDpky0YJmVgyM9A3S7szl/dRPUzn+DeWYYqzoxxRg65f7kJhT7q+hEKCXWiBX9VE7rsxF4f07mhqNPaJ50xZl0PLyMi2MeKW6QzjpbFyf4ghCAS9GMv2oa/uQ5tXEpbDeu006/EOIhx1oNVhQ9ANzEPhCDY2IQq9sgiVRpLJcU//i9xFy4g9py5Iy7SEF3kdG4qovalL9GNT8G9+wB1b6wl4g2gTrSgijXhLiwn/pLjSf/h+SiMuk73o81KxFda2yfBtp46jernV2HIz0SbET9YX2mMQWDMwh4ihku4YXjFu37LV3hqD2DOmoSzpBBJoSR+1sloY5P7tJ/BFOSeEAoFSksMYaezU8GueOxdrKdNJ+7cecM2p54I1rVw4E9vkHzj6diWzGpLdgk2uwjWtRCot5N0w+loUrqvkqjLTca7rxrrKdN6feyYRZMJOTyUPPQSuvHJZP7P5Z3exMas6+FnxAT7WLay2zMcmWDDaXVLKjUIMKaPJ2Hu4p4/cBjDKdTtCTU3dyrWSrEXX1kdWQ9dPgKz6hrPngoUJh2xZ3fsZ6myGlFZjegn9BwLHvb4af58O/EXLezz8WPPmoM60UL5oytAJlq2aIwRZ6zr5jBhzG4Z8hvUYCXhdEfCnFOxjJtO2YcvUrX6nV63hRuOuXWH0mbDu3dfh20qVTFVz3yKbcnMTtO1RxJPURURf4iWr79DjnT/Gzd9spXS3yyjZV1h2zY5IlP+l7cx5Gf2u1+ja3sJcecf12ndkTHremQYUZfI98XKbs9wWtww+Fa3pNIQN+NErJPmUvzGkzQVfE3s1K4tuL6KdLCuHl/ZAXTjx6G0DN5vFHvJhdQ9+wLBhkaEUoGvaB+BqnJiz5pD/IULBu04g0XKTWdgmpVLzfOrqH7mUywn52M+bgK+4hoUZh2+sjrCHj8Jly6i+bNt6ManUPPC54RaPMSeNYemj7cQdnrJ+Nml/Z6DHJGRg0c2GB4T65FjzIc9QgxX0ZyhEm+FRkfGmddQ/OZTmLMnozJaOj1mXwhUVlH99L+IuFwAGGbNJO6yi5B0nS+o9QVtdhZJd9xK/UvLCFRWIZQSk195AEk7eOn8g41pZi6mmbl4i6uxf1VA+SNvo8tJJOwLos2IJ+INUPKrl9FmJND4/kayHrqC8r++g+Pr73BtLyHn4RuQVP1/crCeMpXSXy/DNHtcr1wwYww9Iy7Y30cruz3tv/twijcMXMC1sUnY8udTu+ETYm65ZED7AvCVlKIbn4tu4gQalr1OxOOm7sWXSbz5hkGpUR2y2wnZW1DGxaGO0/ZLrO1rdmGamdNlVMZQoMtNRpebTPJhKfGyLFP/+locG4sgIlP6v8vIfOhyHN/uJfHqkzEMsECVLjcZ/eR0PEVVY4I9ShhxwR7jEMMp3tC5JdxXEZfHxxIoHpwbriopEceadcRfezX6qfkIpYKyB/+Hxjfexnbh+UhqVZ/3KUci+MsORBN7PviYiNuNKj6OlNv6Vg/EuXkfTZ9uw7F+Nym3nYntrDkjHv4nhCDh8hNIuPwEZFkm7PCgMOsxz80blP27CsrwFteQdt95HbaP1cEeOUaFYH/frezOGKk6w30uW7rficLU93TtsMeLa8MmtNmZqNPTEJKENjsLhdlM9eNPY1l8Cvr8KWT8/tc0vP4mZT/7JUqrFePsmWhzslGnpaIwGro9hmfXbupfeRUiEeRgEDkYQj8tn4QbrkWX6+z2s+2RQ2HK/riclJuXYJqVS92rq1HFx2CeNzjCOBgIIVDGdP979BV/RQP68clIutHrNvq+MSoEe4yuGSnhlmUZORjq0aoNO5wobd3HAh+x70iE2v88i6TV4ly3nrDbTeoD96O0Wki6/WY8OwpoWP42seEIhulTSbzxOuRwmEBVNa5NW7B/ugp/RSWGqVOwLF3Sabiee/tO6p7/L4k3XY8+fzK+klKqH3sS4+xZCKlvTxGunWWobCZMc8ehtBgJe/w0vPMNxpk5SKpj9xIyzcyl4Z1vsH+5s09x3GMMHcfu2XaMMVzCLcsy3l2FNH/0KcHqGrR549Dm5qAwm9Gkp6FKSmxzBciyTKC6Bk1OVq/3H3a5qXn6nyjMpqhvWpJofPMdHGvXYzv3LIRCgWHmdJQ2KzX/fIawy4VpwXEgSWjS09CkR/2yEZ+P+pdfpfmDj0i45qoOx3Cs/4ZQYxNEIjS+tQJ9/mS02VkobVYca9ahTkuB7K5vRHJExltUhcKsw72jlJqXviD5htP57oa/Me5vtxJ37jzcBWXUv76WxKtP7utPfNSgTrSgz0tF9odGeipjHGTUCPaYW6R3HP4bDbaAO9eux/7pKmIvugDdxDw8BYUEKqsIVFXT/P5HIMsIlRJJo0Go1US8XgxTO687EWxsxPXtJjwFuxAqFQqTkWB9A/r8KVjPWUrE7aH2P88Rc9opNCx7DXVqCsZZ0aa8mswMku68laa3VtCy6gtCjU2YTz6R2Auj/lRJq8Wy+FTqly0/4riubzfiLy1Dk5VJ7GUXt21P/emPqf/vMrzf7cU6t/PCRp6iKiqffI9IIIgcDKMwaEm//wIqHl8JgDo+BqGQsJ48FfuaXQP6rUc7zV/uxF1QRuIPTj7ivTE/9sgwagR7jP4x2AuVmpzsqJU7I/oIbJwzC+bMAqIWdavlGvH7CbvdqJOTEMojT6Owx0vlw49imjeH2EsvAlkm7HSBLKOfPhUhBPZPPiNQWYm/pISkO2+j7tkX8ezche3Cc1GazWjSUkm65w78ZQfw7S2i+f2P8OzYiSYjHf3UfPT5k4m4XHj3FaMbd6iOScIN11L9+NNIej2qhEO1MCStFqXNir9oG86tWowzco5YOGxcuQHTrFwSrz0VIQRyRKbkoZeile8anUSqRDqnAAAY90lEQVQCQRRoUcWZCdQ0D/j3Hs3YV20n5Y6lqBMsPQ8eY1gYVYI9ZmUPjMEQ77DdjjIurtP3hBCo4mJ7tx+nE4XRSOzFXXcuCdbXo5s0kUB1Lba0VFJ/9mPsH31C5R//jGHGdIRajXHubLRZmWizMolZfCrewt00rXgP97YdCKWS2Msupu65/6LLG0f8NVchJAmlJYbE226i8g8P41yzDv3UfFTx0e9kWbKYwL61VP/7Y7Q5SSRddxqN723EV1KLwqzDtb2E7F9d1SbkLWsKcO8sRZ1iI/GaU1DZogus2txkAjXNhByeUVt2dSDIERlfeQPa9LHiT6OJsdT0Y5T+psKHHU6UMeaeB/aAkCQiXk+3Y0wLF+DZvhOFOSqCklqN7bxzSP3pT1DarEgaNTVP/YPy3/0J794iEALv3n0oY20Y589DDoXQT51C2i8eJFhbR8MrrxHxegFQJyaQfO+dBKprqHzkMUJNUWs4ZmqY+AsXMO7RW5A0Kvbc8gQRj5+484/DNCuXnN9fg27coUJWMYumkHbfeSRctqhDRqSkUqDLScJbVDXg32o0Yl9dgCrejCqxc+t6zB0yMowqCxvGrOzBpq9Wt9JqJdQ8sEf9YGMTdc+9iOn47lO+g3V1oFLh/W4PoRZH241CaYnBcvppAMQsPg3vnj3UvfAymsx0JJWKULM96s++5EIkVXTxMPm+u2h6ZyWVD/+VhJuuR5OWijotFdeGTQD4yyuwzD5kn0gaFWn3nEvyTWe01Y/uDKGQuqzFYZyZg+ObPZhm///27jw+yure4/jnzDP7ksxkJwkJCbsgQRREwA0Vi3IF0dbWXautevVaq7W3t95bi1urbbW1i0Vbu2prRRbrRqkWCihqpQKyIyEhCSHrJJl9OfePSWICE7INySQ579eLlzLzLCfxma9nznOe3xnX49/NUOHesCNWR0RV6Usqqoc9grT1uuP9aeM/VIYhu+e1kzvyHyylfNmjVP7wx1hPnYLrks+dcPvGN9aSMvcsHLNmUr9yTdxtdEYDtlOnUrDsfyESBU3DOuUUmje92x7WADqTiYyrrsS5cAE1v/0D0VAIpERzOclYehbZS+IvBnyisO6O68LpNG7YgYwMXlGrk0FGJS3bSrGfOua491RYDy4V2AoQC3NbYSOeD94l+/NTTxju8b4ByUiEhtffwjH7TAoeeRDXwou7fRLQddmlRAMBLFMmE66vO+G2QtPIuvl6PP/aivvv72AriT8v2DFrJsbR+dT+4UXsxS0YXF0/gt5dFbzuGNIcCE2HZ1d5v46TbIROYJtaSN0b/2p/reVgqgrrJJCUga0ujMFR+YvXMeY4MfdgdZJjg9v9jw0ApF5wXo8f2TbmjiJUdQQZCsVmkHQjVF8PgM5ixnb6aV1ul/GlL0CkiX13/RKh16hd+S5RfxAZlURafFS/uJ7tlz3EjiUPE6zp3/CbMceFDA6/ecp5d1xC7eot+Mtr1OcxiSTdGHYbNZY9sCK+II3rtzPpN/f0qkaGvchN86cpNG/eQtb1V/eqSJMxdxTBI9Ucff53WKceP5c7GgoRrm8geLiC5nffw3/gIACWiRNO2MaUCV4cy64hcLiWwOFabNOKaN76KWWPdZ6zbRmfi95p73F7Owo3eald/R7hRg+2Uwv7dIxkptktEI0S9BaiU0+mJ42kDWxlYEV9AdA0Ih5/r8d1bXl1RJqa0Ho5u0SzWhl1x1eIeL1YJ0867v3yBx9BZzZjyM7EMWc2tpJp+PYdIPPG6+Ier+P/4IWmw1yYhbkwCwC904Yhy4kxKxWd2UDmlfOwnTK6x22V4QjNH+7Hu+cwjf/cSaTZS+qcyRR//8b2x9NDtU1EvH7MBVm9+TUkJc8nhzDmF/Sp4JZy8iR1YKte9sAxpDlwXVBCxU9epeiha3u3s05gynPh3bmblDmze7WrqTD+zUAAolH0rlSMOdlEvT6EwYBv5664vevurhPb5NFMeu6uXrWtTfBIA2WPr0DoNfROG6GjjUxd+W2E1nlEse71D6l5eRNTVz0Qd5WWoaTuzf1Yp0we7GYox0jqwAYV2gPJXlJE4NDRXu9Xu3oL+jQHo66agND3reaJd9duwrV1mCeMJ+r1Yi4aQ/4D3yRQVk6grJzg4QoCFZXobMdXpDuZ14eUkoPffYG0BTPIWDI79vSjlAgh8O4+jGVCXns4W1t77E2bd5E675ST1qaTLdzowbtjJ2mXLx7spiQlIcTtwE3E7gGukVIuE0JMBp4BDIAbuFFKWd26/SPA+a3vrZFSPtTXcyd9YIMK7YHi3vgJ4SYv/sO1BCvrsU8bc8Ii/zIqaXxnG/VvfUTebQs7rYsY779XW4gHK6sIHT2K0OvRZ6TT+ObfCFZUoqWkUPfySgAKv/8wms2GdfKkTsMlHdeQHIhrovHtbehMxvawhtgTnzIc4cD9zwMw4Zk7MOWm45heDEDZ4ysw/GYdqXNPwXXRdMz58Z8cTVZH/rwL6/RpaLbh9wRnfwkhJgI3A/OAMLBaCDEfWAZ8XUr5vhDiKuAJ4HohxKVAjpRyjhBCAzYJIVZLKbf15fxDIrBBhfZAMOWlEyivZf89z2EpzqH8yVUUP3wdlrGj4m5f85eNuDfvIue687HPGHvc+1JKwvUtBKsbCVY3oDPoady4E9/eCizjRhGqbybc6MU6bQYZV3+RcEMD1c88iyEnG53ZHPecjuKmhP7MHUVafPgP1RAor8VfUUuwog7v7sMUPXL9ccMwQq8x7slb2H/Pc+y97edkfmEeaRfPwDFrPMHKevLvXox78y4OPvB7DGkO0hbMwHVhSdIt9nssGYnStGkz2bfePNhNSVbTgE1SygCAEOIV4GKgWEr5fus2LwM/BpBSviaEWNdhfx3g7+vJh0xgKydf1hfOJusLZ7d/5T/yh3doXL8DU34G1S+sp37tVjS7Gc1mRmfUEzzqZtwPv4whPfZouZQSz/ZDuDfuxF9ajb+sBmHQMGa7MOY4iXoDmAuzGH3PYnSmY29meQETwncOtavew5xWmdCC/DISJVBeQ6ihBXtJMUInCB5txLe3ElNBJrVrtuDetBPz6ExM+RmY8tOxTy0k96sLMXbxeLZl7Cgm//E+Spe9SM1LG6l5aSMAo7+xFOvEPKwT88i5fj4t2w5Su/I9ala+i2PWeJznTMU6PjdhP1siNWwJIAwGTPkjekmwDCHEhx3+vlxKubz137cB/yOESCUWvFcCpcCnQoj5Usq3gRuA9q8nUsqAECIPWN56rL19bdiQCmzVyx4Ybb3JtItOY8+tT1P31/dxzJrA+KduRUajRD0BosEwxuzU9rBuuzEXDYZxXVBC6jlTMBdk9rowkvOcqTSu30HTlr2kLeh6rnVPhZt9VD23lqb3dqNPsyM0jUiLHxkMxWps52fgL60mfdFMJi6/C72jd2s16h0Wxj1xM74DVVT9eh2+/ZUYc1zt7wtN176YbsuOQ3g/KePQoy/FVmu/Yi5RfxCiUXRWc1LcqJTBYJffbgBkOEztS69gm1GCddLEAWxZ7+l8ISw7Kvqya62U8ox4b0gp9wghfgC8Tmys+uPWf/4QeEoI8SCwAjjQto8Q4jzgPmJDJnv60qA2QyqwQYX2QAo3xB5mkeEoms2MjEQRBg3z2ByEEEQ8fqp+9TdatpcSrKon+9rzSV80s19rHQpNhykvnYinz98a28lIlNLv/BHL+FwmPnsX+hQrMhLF9+kRDBkp6FOsCE3X/o2iPyxjR1H08LU0vr2NQ8v+hOvCErK+eE6nbxL2qYXYpxaSOu8Uyp9cRd1fP2idTqlDZzKQsXg2aZ87HW2QluRqOZhKNFSLMHQ9la/pn5sJHT1K7R/+RMY1V8WdjjmcCSHMwFYp5VwhhBF4FbgDsAGXSynDQohbgJWt208Cvg4slVIG+3v+IRfYoEJ7IMhwhMrlb5J/92WknDWJ8h+spPTBF4j6gmh2M7ZpY2j+YB+O08eRd/slmAsz+7QK+bGCNW7cGz6h8P++2O9j1b/1ETqLidzbFn52w1DTHTcckajFdIUQuC4owT5jLFXPvcWer/6U9Etmkr5oZqe57aa8dMY+cTOBijqMWU50Rj2+A1XUvLyJPa9sZvTXFiPSTu907IG63n2f7GovRRtPuKEBW8mpmMYUUv3s86Rffhn2mad3uf0wpAEPCCEKgQjwtJTygBDiVuA5IYQX2A18rXX7W4CxwNoO19mPpJTxi+d0Y0gGtnLyHf3LRjSHFef8aQghGNMaoFJKfPur8O4sx3nvVGxTTjCPug+8O8sxZKcmJERbPj5I2sWnDfjq5gaXnYJvXIG/tJqjKzaz97af4Tx/GqlzJ2MZn4sQAiFEp9kjlrGjKPjmlbTsOMShR18h9+tFndaqjDdNMtEh3rRhI55tO8j92n/GfV9GIvh27yFt6WLMRWMYdedtHPn5cox5uRhz49+YHm6klB7g6jivPws8G+f1+4gNhyREUtYS6QlV3+DkCNU3U/Xrv1H/+r/I/69Fx8+OEALr+FwyFp+Z8LAGSJkzCc1u4eCDL1D3+oeEGlqQUhKqb8azswzP7sMEa9w9qpBnzHHR/MG+hLexp8xjsim493KKHr4OYdAof3IVu677Ed7dh7veyTYN1+cuouonP8O3Zy8y2vXP2VaQKRGfhZaDqfj2HyBt0UI0hyP+Nh/9G81hxzIxtlq8MXcUjjmzaXzrb52mWyonj+phKwB4dpZT8/ImPLvKcZ13KuOeugVDev8XMugtnUFP0YNX49tfRdWv1lL9wnqi/iA6ox5TfgYyGiVU10zE7cUxczwF919x3BOHbbKvPpddNz5JoKIOU17PVso5GcwFmeRcez7Z15zHoUdewr15F9ZJ+cdt1xa8KWfPRXM4qF/9V8JuN5ZJEwnX1CDDkdhiyAX5pM4/r9PNwY6h3Zued9t+UkpC1UfRXPFnxMhIhKZ31uM8pgpj6oXzqfzRj2l57/3YYsnKSTWkA1uNZSeGe+NOKn75Bjk3XEDB/UsTMhbdX5Zxoyh+7AYgVpgKKTuNA0eDYQ49/Gcqn3mDlNkTkdEoQq+hM+jRHBaMuen4DlShWc2dZm0MJiEE+XcuYv+9v6L5w33obLEpksbMVCwz5mPM+Sx0bdOnYZs+jVBdPb5duzHMOgOd1UqkqQnPv7dx+NHHSb1wPrZpU9E7O4dsT8O743b+vftASkwF8eur1K95DS015bjH1XVGA1k3XEvV07/AVFyEMXvo11FJZkM6sJX+CzW0cPhnr1H86PVYelBWdTDEmzWhM+opuH8ph5/+K7VrtsRme4QiRENhIm4vwRo3QifIv2dJlz3wwaB32hj/9FdjhaI8fiIeP00fNVH1k1/guvRzOObM7tSDNaSnYZg3p9MxrFNOwV96KLbC/Rtr0Rx2osEgxpxsUs8/F2NeHpo9Noe9q/Du+HqkxUPtn1eQdtmlCN3xvyvf3n14t20n97574r5vHJWD86L5NKx5jexbb+r7L0fp1pAPbNXL7p+6NVtiN8OSNKxPRLNbKPzW5+O+Fw2GiTT72ueJJxPNakIryKTlYCo6MzgvAuu0qRz5xXL06Wk9mt/ctjCxjEQIVh1BZzbj+WgrjWv/TrDqCGmXX4bjmNkb8ca6ZSRC9a9/g+20EmzT4y8K0fLhVhxzzzrho+qOeXNw/2MDgUNlJy7opfRL8nQ9lAEXqKqnfu1Wsr907mA3JeF0Rn1ShnWbY8PTmJ2F/bQS3OveIRrs+XRdoWmY8vMwZKTjXHAho+66nVF33kbj62/i2f5Jt/t7d+yESBTXpfGXc/MfLMW3azeO2bNOeBydwYDzogtoeOOtHrdd6b1hEdhqxkjfNP9rPylnTUrqYBtJXP9xKXpnKtXPPt+++ntfGHNHkbbkMmp++3t8+/afcNtIczN6lzPuUAdA49p1uC65GM3e/UIPjtmzCFYdIVB+glkwSr8Mi8AGFdp9Imkvvq8MnK6uVaHTkXH1VRiyM6l44ikCh8r6fA5byalYJk/iyE+fofalFUS83rjbBSurMObFr2sSOlpDoKwc2xkzenROodeTcs483O9s6HO7lRMbVp9WNZ7dOzIcGewmKMcQOh0ZVy7F8+9tHFn+KyzjxiLDEaKBAKbCAlLPO7vLedLHyv7yjYSbmmh8ax0V3/sBKWfPJeW8c9pXm/ft3Yfn423kfOXLx+0ro1HqVq4mZd7cTqvTd8dx1mwOP/Qo4UY3eqfqRCXasOlhK73TuGEHNa9sxjFrwmA3RYnDNn0auffejWXKZOxnziT1wvOJ+nwcfvRx6lasItzUszKz+pQUMj6/lOxbbsJ/4FNqX3gJGQ4T8XioX/Uq6VcsiXuT0L3ubaI+P84FF/Sq3ZrVgn3mGTRt2Nir/ZSeGVY9bFC97O54Pimj5pXN+MtqKFp2DZainMFuktIFQ1oahlmfPZ5unTQR58UX4X77H1Q+/iTpV15+3MwOGYkQaW6JVd2z29FZzAghMBWMJuvmG6n57e8p/+4jCL0e2/QSbNNLjjuv/8CnNP1zM7n33t2rRZXbpMybQ9XTP8e1aGGXY+NK3wy7wIbPxghVcMeKKXm2laLZzTR/dICm9/eS/aVzGX3f0kGrCjeS9fdeiz41hfTLL8N2Wgk1v3+R+jWvobOYkaEQkeYWon4/mt2GMBiJtLRAJILOYUefkoLmcBB2NxFpakZnseBcuOC4QJXRKHUrVpG+dHGfhzQMWZloKSn4D3yKZfy4fv28SmfDMrDbjPTedu3qLRx96Z/YpxcTDQQxZjqZ8PRtaPau6x0rQ4N5TCH537qPcH0D0UAAodejORzorJZOIRwNBok0NxNpiv3RUhzonU5q/7IC9zsbcF18Yafjtmz5AGEyYe1iTnZP2U4rwbP1YxXYCTasAxtGbmjXr91K7avvM+6pWzFmqps/ySDRM5mEXo8hK/OE2+iMRnTp6RjSP6ulIqUk0ugmEC3lyC+fw5CZibm4iEhzMw1vriXn9q/0u8KhbXoJlU/+hPQrlvRpWEWJb9gHNoys0PbsKse94RPc7+6i+NHrVVgniaSadiolxrzcWCGp0fkEKipo+fAjhKYj+9abE7I8mCEjHb3LhX//gfbqfkr/jYjAhpER2o3rt1P1/DrSLzmDsd+/qcu1CJWBlVRhTWzqYOY1ny0Q0dUj6f1lPWUS/v2fqsBOoBET2DC8QzvU0ELlL9+k+LEbMBeqimnJItnCeiAZ8/Jofu/97jdUemzEzbkZrh+gxre3YZ9erMI6iQzXa62njPl5BCsqB7sZw8qIC2wYXh+kcJOX6hfWU7PqXbKvPX+wm6Mo7fRpLmQwGJteqCTEiAxs+Gx5paGsZXsp++5eTqi+maIHr8aUm9b9TooyQIQQGHJzCFYdGeymDBsjagw7nqE6ru3dW0HZ4ysYfc8SHDPGDnZzlGMM9c5AouidLsKNQ+/zlaxGbA+7o6H24ZJSUva9l8m/c5EKayWp6Z2pRBobB7sZw4YK7FZDKbQb/7EdKSUpZ3a/Moky8IbStXSy6Z2pqoedQCN+SKSjZB8eCTd5KXt8BcHKeoq+e/VgN0dRuqU5nUT27BvsZgwbKrCPkcyFo+rf/Ai908aY73xJLTyQpFTvurNYD1sNiSSKGhLpQjJ+8OrXbiVj8WwV1kkqGa+ZQadpyIhaKCNRVGCfQLJN/TPlp+PZdnCwm6HEkUzXSTKJNDf3eIUcpXsqsHugLbgH+0OZe8sCala9h5RyUNuhdDbY10UyizS3oDm6X8BX6Rn13bqXOn44B3qc25DtIuoNEPUG0GyqpvXJogI4caKqh51QKrD7YaDD271hB7apY1RYJ5AK55MrVFuHIUvVt0kUFdgJMhCzS/yVdVgn55+04w8nKoiTQ6CsHPsZMwa7GcOGCuwE6yooEhHk4Zom7KcV9/s4w5EK6OQjw2FC1dUYE7AgQjIRQtwO3ETsHuAaKeUyIcSZwA+BMGACviml3NBhHzPwIfADKeVv+npuFdgDJBGB4t1Xh/X0+YM6jp5sVFAnr2BFJYbMTHTG4bPYsxBiInAzMI9YOK8WQswHngBulFJuF0KUAC8AUzrs+hjw7/6eXwX2EBHx+gjV1GLIye70ejI/6HOyqJAeGgJl5RgLRg92MxJtGrBJShkAEEK8AlwMHASsrduYiPWmad3mAsAFrOvvyUVvpogJIUqBwv6eVFGUEemQlHLMQJ1MCPEmkNGHXc2Av8Pfl0spl7cecyLwJ+C81m1WAqXAQ8BzwIvAEuBOKeURIYQTeANY2Po6/RkS6VVgK4qijHRCiGuAOwA38DHgARYAi6SUTUKIVOB14Fzgd8BvpZRvCSFuhP4FthoSURRF6aHWm4dbpZRzhRBG4FXgfmIBrrVupgcKiPXUTwVub71RWdB6jD6HtgpsRVGUntOAB4QQhUAEeFpK+bEQ4tvABiFEE7Gg/m8pZQuxwAYgET1sNSSiKIoyRKhaIoqiKEOECmxFUZQhQgW2oijKEKECW1EUZYhQga0oijJEqMBWFEUZIlRgK4qiDBEqsBVFUYaI/weILx6N1SWW9QAAAABJRU5ErkJggg==\n", "text/plain": [ "<Figure size 720x360 with 2 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_nps(lon, lat, slp[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 統計値の計算\n", "気候値(時間平均)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(73, 144)" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "slp_clim = np.mean(slp, axis=0)\n", "slp_clim.shape" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/local/Library/Frameworks/Python.framework/Versions/3.6/lib/python3.6/site-packages/cartopy/util.py:102: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " new_data = ma.concatenate((data, data[slicer]), axis=axis)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x360 with 2 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_nps(lon, lat, slp_clim)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "北太平洋にアリューシャン低気圧,北大西洋にアイスランド低気圧,ユーラシア大陸にシベリア高気圧が現れた。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "標準偏差" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(73, 144)" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "slp_stddev = np.std(slp, axis=0)\n", "slp_stddev.shape" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/local/Library/Frameworks/Python.framework/Versions/3.6/lib/python3.6/site-packages/cartopy/util.py:102: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " new_data = ma.concatenate((data, data[slicer]), axis=axis)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x360 with 2 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_nps(lon, lat, slp_stddev)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "アリューシャン低気圧とアイスランド低気圧の変動が大きい。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## データの前処理\n", "極に近づくほど東西格子間隔が狭まることを考慮して,緯度の重み$\\sqrt{\\cos\\phi}$を掛ける。" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "wgt = np.sqrt(np.abs(np.cos(np.deg2rad(lat))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thompson and Wallace (1998)に基づき,北緯20度以北の海面気圧を用いる。" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4032 71\n" ] } ], "source": [ "dslp = (slp - slp_clim) / slp_stddev\n", "X = dslp * wgt[None, :, None]\n", "X = X[:,np.where(lat > 20),:].reshape(time.size,-1).transpose()\n", "m, n = X.shape\n", "print(m, n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 特異値分解" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "U, s, V = np.linalg.svd(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "寄与率" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "contrib = (s * s) / (s @ s) * 100" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 360x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(5,5))\n", "ax.plot(contrib[0:10])\n", "ax.plot(contrib[0:10],'bo')\n", "ax.set_title(\"contribution rate %\", fontsize=14)\n", "ax.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "回帰" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(71, 73, 144)" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "D = (dslp.transpose() @ V.transpose()).transpose()\n", "D.shape" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/local/Library/Frameworks/Python.framework/Versions/3.6/lib/python3.6/site-packages/cartopy/util.py:102: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " new_data = ma.concatenate((data, data[slicer]), axis=axis)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x360 with 2 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_nps(lon, lat, D[0])" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/local/Library/Frameworks/Python.framework/Versions/3.6/lib/python3.6/site-packages/cartopy/util.py:102: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " new_data = ma.concatenate((data, data[slicer]), axis=axis)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x360 with 2 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_nps(lon, lat, D[1])" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/local/Library/Frameworks/Python.framework/Versions/3.6/lib/python3.6/site-packages/cartopy/util.py:102: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " new_data = ma.concatenate((data, data[slicer]), axis=axis)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x360 with 2 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_nps(lon, lat, D[2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 固有値分解\n", "共分散行列の固有値分解でも同じになるか確認しよう。" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(71, 71)" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cov = (X.transpose() @ X) / n\n", "W, V_eig = np.linalg.eig(cov)\n", "W.shape; V_eig.shape" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(71, 73, 144)" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "D_eig = (dslp.transpose() @ V_eig).transpose()\n", "D_eig.shape" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/local/Library/Frameworks/Python.framework/Versions/3.6/lib/python3.6/site-packages/cartopy/util.py:102: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " new_data = ma.concatenate((data, data[slicer]), axis=axis)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x360 with 2 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_nps(lon, lat, D_eig[0])" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.6" }, "toc": { "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "toc_cell": false, "toc_position": {}, "toc_section_display": "block", "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }