From 642b4f310fb0057bf99fc417f6a3bbf32d64ae52 Mon Sep 17 00:00:00 2001 From: Kevin Yanes Garcia Date: Thu, 28 Apr 2022 16:45:59 +0200 Subject: [PATCH] Change dft to fft for parseval --- doc/Parseval_example.ipynb | 36 ++++++++++++++++++------------------ 1 file changed, 18 insertions(+), 18 deletions(-) diff --git a/doc/Parseval_example.ipynb b/doc/Parseval_example.ipynb index aa218371..a65572e5 100644 --- a/doc/Parseval_example.ipynb +++ b/doc/Parseval_example.ipynb @@ -27,7 +27,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "**First, we show that `xrft.dft` satisfies the Parseval's theorem exactly for a non-windowed signal**\n", + "**First, we show that `xrft.fft` satisfies the Parseval's theorem exactly for a non-windowed signal**\n", "\n", "For one-dimensional data:\n", "$$\\sum_x (da)^2 \\Delta x = \\sum_k \\mathcal{F}(da)[\\mathcal{F}(da)]^* \\Delta k.$$\n", @@ -37,7 +37,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -55,14 +55,14 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "###############\n", - "# Assert Parseval's using xrft.dft\n", + "# Assert Parseval's using xrft.fft\n", "###############\n", - "FT = xrft.dft(da, dim=\"x\", true_phase=True, true_amplitude=True)\n", + "FT = xrft.fft(da, dim=\"x\", true_phase=True, true_amplitude=True)\n", "npt.assert_almost_equal(\n", " (np.abs(da) ** 2).sum() * dx, (np.abs(FT) ** 2).sum() * FT[\"freq_x\"].spacing\n", " )\n", @@ -89,7 +89,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -114,14 +114,14 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "###############\n", - "# Assert Parseval's using xrft.dft\n", + "# Assert Parseval's using xrft.fft\n", "###############\n", - "FT2 = xrft.dft(da2, dim=[\"x\", \"y\"], true_phase=True, true_amplitude=True)\n", + "FT2 = xrft.fft(da2, dim=[\"x\", \"y\"], true_phase=True, true_amplitude=True)\n", "npt.assert_almost_equal(\n", " (np.abs(FT2) ** 2).sum() * FT2[\"freq_x\"].spacing * FT2[\"freq_y\"].spacing,\n", " (np.abs(da2) ** 2).sum() * dx * dy,\n", @@ -159,12 +159,12 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -204,7 +204,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -222,12 +222,12 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -275,12 +275,12 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 9, "metadata": {}, "outputs": [ { "data": { - "image/png": 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p6jHTp2ddhk0ggAIAALAWAiiMXdc1oHpxAZiuLiOgSicsRQAFAABgLQRQGLmu9wHt2DYAABxPAAUAYJJ6dLTqvIXlCKAwcu4DCgDAVAigAABMUo/N9nTewnIEUBi5vvcBVUUBAFgfARQAgEnqswZU5y0sQwCFkbMGFACAqRBAAQCYpB4drTpvYTkCKIycOgcAwFQIoAAAAKyFAAoj12ML+WNtd2saAEagw21YVt4ibBYBFAAAgLUQQGHkeva02koegCnrMtPH9CFYigAKAADAWgigMHbuAwoAC+kyANqhTdgkAigAAABrIYDCyPVcp6kXF4Ap6zHTx+whWI4ACgAAwFoIoDByPXta5+8x2vN+owAAkAigAABMVI9lLDpsYTkCKIxc1xHQNX0PAAAkAigAABPVZROi1TcJG0UAhZHrWejmC7OCCgBAbwIoAACT1KNz1ZIVWI4ACiPXdbOD+RFQFRUAgM4EUAAAJqlH56ruWliOAAoj13UN6FzrCioAAL0JoAAAAKyFAAoj13UJaNv5OQCwM3smwHIEUAAAANZCAIXR69fT2rY916MLwLQYrITxEUABAABYi6UDaFWdUlVvrapXDK9Pr6qrquq64fG05U8TNlffNaBzu+DqJYa1UTthPXrM7lEvYTmrGAH9/iTXzr2+NMnVrbXzklw9vAYAjlE7AdhISwXQqjonyTcmed7c4QuSXDE8vyLJhct8B2y6vvcBBdZN7YT16TFaac8EWM6yI6C/kORHkhydO3ZWa+2mJBkez9zpg1V1SVUdrqrDR44cWfI0AGDfUDsB2FgLB9Cq+qYkt7TW3rzI51trl7XWDrXWDh08eHDR04DJcx9QmA61E4BNd2CJzz4xyTdX1dOSPDDJQ6vqN5LcXFVnt9Zuqqqzk9yyihMFgAlQO2GNukzB1WELS1l4BLS19pzW2jmttXOTXJTk1a21b0tyZZKLh7ddnOTlS58lbLCea03m27amBfpTOwHYdD3uA/rTSb6uqq5L8nXDawDgxNRO6KBH16ruWljOMlNw79Zae22S1w7PP5Lk/FW0C3Se6mMNKOwZtROATdRjBBQAAPZc69C7qsMWliOAwsit6z6g6ikAAL0JoAAATFKfNaC6bGEZAiiMXI/pQ8faXs/3AABAIoACAACwJgIobLDt9wEFgInpUNxMGILlCKAAAACshQAKI9ezp7W5DygAE2bDIBgfARQAAIC1EEBh5Hr23rYTvgCA/a/H7B67xsNyBFAAAADWQgCFkeu7BnR+F1w9ugBMS4/KZgAUliOAAgAAsBYCKIycXXABAJgKARQAgEnqsgnR6puEjSKAwsitq9ApqAAA9CaAAgAwST022LNkBZYjgMLI9bzf2PY1oCoqAAB9CaAAAExSnzWgOmxhGQIojFzPMjdfRJVTAAB6E0ABAJikHp2rVqzAcgRQGLu27WG1TbsPKAAAaySAAgAAsBYCKOwTtdcnAAD7TYfpPVst2j0eFiOAwsj13G2vbXuukAIA0JcACgDAJHXpWh1GPnXbwmIEUBi5njN8tk0fUkkBAOhMAAUAYJJ6dOK2ezwBdkMAhZHrWd/aCZ4DAEAPAigAAABrIYDCyPVdA7qe7wGAvdDjVilbTdo9HhYjgAIAALAWAiiMXN8e1jb3TE8uANPSo7Jt1Uszh2AxAigAAABrIYDCyB1ba9Kv7SQ5qicXgInpchuWtv0R2B0BFEZuawOF6tD20W2bEKmkAAD0JYDCyPVdATq3BlT+BGBi+qwB3XpUOGERAiiM3NGOc2OPHj32XAAFAKA3ARRGbm0joHpyAQDoTACFkeu5OZBNiACYsh77G9iECJYjgMLI9dwcqNmECACANRJAYeR65sKjc40bAQWA+7a1ZEXZhMUIoDByPddmtnt5BQAAqyaAwsj1HJk0AgrAlHWZRWQNKCxl4QBaVQ+vqtdU1bVV9c6q+v7h+OlVdVVVXTc8nra604XN07PAbV8D2u97gBm1E4BNt8wI6J1Jfqi19iVJnpDke6rqsUkuTXJ1a+28JFcPr4EFHe26CdH8CKgECmugdsIa9VjG0nZ4Bpy8hQNoa+2m1tpbhuefSHJtkocluSDJFcPbrkhy4bInCfQxXzrlT+hP7QRg061kDWhVnZvkcUnekOSs1tpNyazQJjnzBJ+5pKoOV9XhI0eOrOI0YJKOdlycOd+2EVBYL7UTgE20dACtqock+a0kP9Ba+/jJfq61dllr7VBr7dDBgweXPQ2YrJ6xUOSEvaF2wnr06FvdWr6i3xYWs1QArarPyayAvrC19rLh8M1Vdfbw+7OT3LLcKcJm6zkyedQaUFg7tROATbbMLriV5PlJrm2t/fzcr65McvHw/OIkL1/89ICtXNglHtoFF9ZK7YT16nIXlp51GTbAgSU++8Qk/zjJ26vqT4dj/zrJTyd5SVU9O8n7kzxjuVOEzdY6Vrr55aVGQGEt1E4ANtrCAbS19rokdYJfn79ou8B27e7HHlvJ20we1knthPXqsgb07rZVTljESnbBBfq5ewC0y0YKOz8HAIAeBFAYua2psT2myM63qScXgKnpMnvIGlBYigAKI9eOe+zRdq/2AQBgngAKI3e04/3G5kc9jx4VQQEA6EsAhbHbtk5ztSFx2xrQlbYMAHuvR+ftsaUxq28bNoEACiM3v05z1cXObVgAmLIes3va3TOT1E1YhAAKI9e6joAaAgVgunqMUm61qeMWFiOAwshtH6XcP20DwF7ZKmk9d5A/enTlTcNGEEBh5Oa3kF/9dvI92waAvbGOW5jdZQQUFiKAwshtn4K72raNgAIwRa3jNNmtkU9rQGExAiiM3HyBW3Wt67m+FAD2Ss+dau2CC8sRQGHkeu5Ue7RjuAWAvXLX0X5TcO/qOL0XNoEACiO3fQ3oqtve+XsAYD+7ewpul9uw9GsbNoEACiPXcwR0ftqt3fwAmApTcGG8BFAYuZ6bELkNKABT1HcX3O3fAeyOAAojt30Ton5rQBVSAKbirrt3ql1920ePGgGFZQigMHJrGwFVSAGYiK0O27s6pMS7R1clUFiIAAoj13OU8mjH0VUA2Ct9p+DaBReWIYDCyLUTPB972wCwV+7qOE12a3qvAAqLEUBh5HqOgDZrQAGYoK2S1mN2z1abyiYsRgCFses4TGkNKABTdHQNa0DvUjhhIQIojNz2EdBVt73z9wDAfnbsVik921Y3YRECKIzc9gHQFU/BtfITgAm66+5psj13wV1507ARBFAYue2jlD3bFkYBmIa2hl1w7R4PixFAYeRaz1ulbGt7tU0DwF7Z6mC9q8cU3KNbbSucsAgBFEau50ZBPUdXAWCvrOc+oCtvGjaCAAojN79Oc/UDoB1HVwFgD7TWut6GxRRcWI4ACiM3v8nBqntyj3YcXQWAvTBf2/rchqVf27AJBFAYuW0joCtve+fvAYD9qufty+bblz9hMQIojFzPnWpb5yINAOs2PzLZZQru0X7rS2ETCKAwcj03IerZNgDshbat43b17W+1qW7CYgRQGL12gueraLnt+BwA9qv5kck+a0Bbt7ZhEwigMHI9b5XiNiwATM32NaD9NiEyBRcWI4DCyG2/Vcqq2z7RCwDYn+Z3j+9R2rbWgCqbsBgBFEau5yZEvXcKBIB16z8CahMiWIYACiO3rkFKN9QGYArWtgZU3YSFCKAwcq1jT+7Ro0ZAAZiWuzouXUm274Kr8xZ2TwCFkes66nmC5wCwX7WOS1eOb1P+hN0TQGHkeq5l2V5EVVEA9r91rQHt1T5MnQAKIzdf23rugquGAjAF80tK7uqyC+58+4on7JYACiPXs6e15/pSANgL8/sb9JjdYwouLEcAhZHruU7TGlAApsYUXBg3ARRGrnVcp6mIAjA12+6fffTE71tJ+0on7JoACiNnDSgAnLy7jnYeAZ1rv8d9RmHqBFAYuaOt5X619XzVbSc1tG0XXACmoPf+BnaQh+V0C6BV9dSqendVXV9Vl/b6Hpi6luSUIYGuutC1tJxSW22vtGlgl9RNWI2tztqqPlNk5ztvDYDC7nUJoFV1SpJfTvINSR6b5Fuq6rE9vgum7mhL7jdUulUXutaS+92vT9vAyVM3YXU++qnPJkkqyfW3fHKl02TvuOtobr3tjrs7bz/5mTtX1jZsigOd2n18kutba3+eJFX14iQXJLmm0/clSW697Y78w//2xz2/Atbuho986u4R0B/9rbfl1PufsrK2b/nE7XdP7/31P7khv/eOm1bWNuy17/3a8/KNf+XsvT6Nk7UndTNJXvzG9+fyP7qh99fA2rzrLz6R5FjH6hf/29/LuZ//4FQd69Bd1Ps/+ukkyZ1D41/zs6/JF535kNyvkkplyeZhz/3+D3xN9+/oFUAfluQDc69vTPI35t9QVZckuSRJHvGIR6zkS0+5X+URp5+6krZgLB5x+ql58mPPyp+85yP55O2r7Wl9xOmn5ku/4HNz+5135fpbPrnStmGvPeSBvUpcF/dZN5M+tfOhD/octZNJOe3U++fjn7kj//RvPTL//neuydc8+mA+e+fRtLb8mtCHn35q3n7jrXnO0744P/uqd+exZz80B06pHD1qN3k4Wb2q8079P9v+q2ytXZbksiQ5dOjQSv6LfcgDDuSybz+0iqZgdJ556OF7fQpAP/dZN5M+tfNpX352nvbl+2akGHbl7z3unG5tX/DXHtatbZiyXpsQ3Zhk/v8tn5PkQ52+CwD2O3UTgI3QK4C+Kcl5VfXIqrp/kouSXNnpuwBgv1M3AdgIXabgttburKp/keRVSU5J8oLW2jt7fBcA7HfqJgCbotsODa21303yu73aB4ApUTcB2AS9puACAADANgIoAAAAayGAAgAAsBYCKAAAAGshgAIAALAWAigAAABrIYACAACwFtVa2+tzSFUdSfK+vT6PNTgjyYf3+iT2Iddt91yzxbhuu7cp1+wLW2sH9/ok5qmd3AvXbDGu2+65ZovZlOu2Y+0cRQDdFFV1uLV2aK/PY79x3XbPNVuM67Z7rhm9+RvbPddsMa7b7rlmi9n062YKLgAAAGshgAIAALAWAuh6XbbXJ7BPuW6755otxnXbPdeM3vyN7Z5rthjXbfdcs8Vs9HWzBhQAAIC1MAIKAADAWgigAAAArIUA2kFV/XBVtao6Y+7Yc6rq+qp6d1U9Ze74X6+qtw+/+09VVcPxB1TV/xiOv6Gqzl3/v6S/qvrZqnpXVb2tqn67qj5v7neu2QKq6qnDNbu+qi7d6/PZS1X18Kp6TVVdW1XvrKrvH46fXlVXVdV1w+Npc5/Z1d/dVFXVKVX11qp6xfDaNaMbdXN31M7VUjePUTeXo3aepNaanxX+JHl4kldldnPwM4Zjj03yZ0kekOSRSd6T5JThd29M8lVJKsnvJfmG4fg/T/Irw/OLkvyPvf63dbpeX5/kwPD8PyT5D67ZUtfzlOFaPSrJ/Ydr+Ni9Pq89vB5nJ/mK4flfSvK/h7+tn0ly6XD80mX+7qb6k+RfJvm/k7xieO2a+enyo24udM3UztVdS3Vz+/VQN5e7fmrnSfwYAV29/5jkR5LM7+50QZIXt9Zub629N8n1SR5fVWcneWhr7Y/b7C/u15JcOPeZK4bnL01y/hR7QFprf9Bau3N4+SdJzhmeu2aLeXyS61trf95a+2ySF2d2XTZSa+2m1tpbhuefSHJtkodl+9/KFdn+N7Tbv7vJqapzknxjkufNHXbN6EXd3CW1c6XUzTnq5uLUzpMngK5QVX1zkg+21v7suF89LMkH5l7fOBx72PD8+OPbPjMUmVuTfH6H0x6Tf5JZT0/imi3qRNdt4w3Tyh6X5A1Jzmqt3ZTMim2SM4e3LfJ3N0W/kFkgODp3zDVj5dTNlVA7l6NunoC6uWtq50k6sNcnsN9U1f9M8pd3+NW/SfKvM5sWc4+P7XCs3cvxe/vMvnNv16y19vLhPf8myZ1JXrj1sR3evzHXbAmuwQ6q6iFJfivJD7TWPn4vnfuL/N1NSlV9U5JbWmtvrqonncxHdji2UdeMe6duLkbtXJtN//fvSN3cHbVzdwTQXWqtPXmn41X15ZnN4f6z4T/Sc5K8paoen1nvxcPn3n5Okg8Nx8/Z4XjmPnNjVR1I8oyP9mUAACAASURBVLlJPrq6f8n6nOiabamqi5N8U5Lzh+kGyYZfsyWc6LptrKr6nMyK6Atbay8bDt9cVWe31m4aprvcMhxf5O9uap6Y5Jur6mlJHpjkoVX1G3HNWJC6uRi1c23UzeOomwtRO3fBFNwVaa29vbV2Zmvt3NbauZn9AX1Fa+0vklyZ5KJhp7lHJjkvyRuHofhPVNUThvUW357k5UOTVya5eHj+9CSvniswk1FVT03yo0m+ubX26blfuWaLeVOS86rqkVV1/8w2lLhyj89pzwx/I89Pcm1r7efnfjX/t3Jxtv8N7fbvblJaa89prZ0z/O/YRZn9d/Rtcc1YMXVzcWrnSqmbc9TNxaidu9RWtJuRn+0/SW7IsJvf8PrfZLbD1bszt5tVkkNJ3jH87peS1HD8gUl+M7NFyW9M8qi9/jd1uk7XZzYH/k+Hn19xzZa+pk/LbNe692Q2VWvPz2kPr8XfzGzqytvm/saeltn6pquTXDc8nj73mV393U35J8mTcmwnP9fMT9cfdXNX10rtXO31VDePXQt1c/lrqHbex8/W//gAAABAV6bgAgAAsBYCKAAAAGshgAIAALAWAigAAABrIYACAACwFgIoAAAAayGAwohV1fdV1bVV9cK9PhcAGDt1E8bPfUBhxKrqXZndnPi9c8cOtNbu3MPTAoBRUjdh/IyAwkhV1a8keVSSK6vq1qq6rKr+IMmvVdUpVfWzVfWmqnpbVX3X8Jmqql+qqmuq6pVV9btV9fQTtP+5VfXuqnrM8PpFVfWda/sHAsAKqZuwPxzY6xMAdtZa++6qemqSv5PkXyT5u0n+Zmvttqq6JMmtrbWvrKoHJHn9UGQfl+QxSb48yVlJrknyghO0f2tV/Yskl1fVLyY5rbX23/v/ywBg9dRN2B8EUNg/rmyt3TY8//okf2Wul/Zzk5yX5GuSvKi1dleSD1XVq++twdbaVVX1jCS/nOSvdjpvANgL6iaMkAAK+8en5p5Xku9trb1q/g1V9bQkJ72wu6rul+RLktyW5PQkN67gPAFgDNRNGCFrQGF/elWSf1ZVn5MkVfXoqnpwkj9MctGw1uXszKYh3ZsfTHJtkm9J8oKt9gBgYtRNGAkjoLA/PS/JuUneUlWV5EiSC5P8dpKvTfL2JP87yf86UQNV9egk/zTJ41trn6iqP0zyfyZ5bt9TB4C1UzdhJNyGBSasqi5P8orW2kv3+lwAYOzUTejPFFwAAADWwggobICq+u0kjzzu8I8evxkDAKBuQk8CKAAAAGthCi4AAABrIYACAACwFgIoAAAAayGAAgAAsBYCKAAAAGshgAIAALAWAigAAABrIYACAACwFgIoAAAAayGAwghU1TOr6lkLfO5JVdWq6ss6nBYAjEpV/buq+mBVHa2qGxapgVV1SVVduMPxH6mqJ63sZIEdCaAwDs9M8qy9PgkAGKuqOpTkx5P8UpInJvmJBZu6JMk9AmiSH0nypAXbBE7Sgb0+AQAAOAlfPDz+cmvt41X1gD09G2AhRkBhj1XV5Un+QZK/PUwlalX1Y8PUop877r3PGn7/kHtp76Kq+mxVfffcsS+rqldW1SeGn9+sqr88/O5AVX2oqp67Q1v/q6petrJ/LAAsYKiVvz68vLWq2gne90NV9aaqurWqbq6q36mqL5r7/WuT/PUkF8/V3GdV1Q1JPj/Jc+eOP2n4zKlV9Z+q6i+q6jND+19/3Pe+tqpeOkzvvaGqbhvq7sNWfS1gvxNAYe/9RJLXJHlrkq8afp63SEPDOtJfS3JJa+1XhmNflOT1SR6Y5B9nNtX3S5P8TlVVa+3OJFckeVZV1Vxbj0ryt5L86kL/KgBYnZ9I8pPD86/NrFY+dIf3nZPZFN0LknxnklOSvL6qPnf4/T9P8q4kv5tjNfeVSf5ekluTPH/u+FuGz/z3JN+R5KeG930gySur6m8e991fleR7k/zLJM9O8leS/D+L/oNhqkzBhT3WWntPVX00yf1aa3+ydXwuC56UYcTzF5N8e2vtxXO/em6Sv0jyDa21zw7vfVtmBfhpmRXeFyS5NLO1L68ZPvesJLck+b1d/6MAYIWGWvme4eWbWmuf3GnDoNbaD249r6pTklyVWS27IMmvtdauqapPJTkyX3OTHKmqO5PceFwt/pIk35LkO1prVwzHXpXkbUn+bZKnzLVxZpKvbq29b3jf+5K8rqqe2lr7/SUvAUyGEVCYhu9L8gtJLjoufCbJk5P8dpKjw3TbA0nem+SGJIeSpLV2XZI/zLAR0jAS+u1Jfn0YIQWA0auqJ1TVVVX1kSR3Jvl0kockefSCTX5lkkrym1sHWmtHh9fHj4C+ZSt8Du97fWbh9/ELfjdMkgAK0/APklyf5H/u8LszkvxokjuO+3lUkofPve/5SZ5eVX8ps+lNXxjTbwHYJ6rqEUn+ILPA+F2Z7ZT7lZmFwAcu2OzZST7ZWvv0ccdvTnLqcRsh3bLD528Z2gAGpuDCeH0myf2PO3b6Cd77j5L818zWdX5Da+22ud99NLMR0J3WlX547vlvJvlPSZ6R5O8keUNr7ZpFThwA9sBTk5ya5ILW2qeS2UZ7OXHtPBk3JXlIVZ16XAg9K8mnW2u3zx07c4fPnzm0AQwEUBiHz+aevbM3JvmS44593Qk+f2OS85P8v0leWlUXttbuGH53dZIvS/Lm1tqOuwYmSWvttqp6UZLvyWyr+3+5u38CAOypByU5mtnU2y3PzD3//+5ONfdEx9+UpCV5emab/G0tU3l6ktcd996vqKpHtNbeP7zviZkF0Dfu+l8CEyaAwji8K8kFVXVhZmHyQ5mNWv7nqvrXmRXAv5/Z7rU7aq39eVU9ObO1nL9RVd8yrFP5scyK3yur6gWZjXo+LLMwe3lr7bVzzTw/yXcnuS3J8WtJAWDMXp3Zrre/WlXPz6xm/nCSjx33vncleUpVPSXJR5K8t7X2keH4N1bV7yf5ZJJ3t9auHTpnf6mqHprZcpfvzKyj9p8d1+4tSV5RVT+WWZD9D5mtC7UBEcyxBhTG4b9ktm7lBZmFzUuSXJbZxkLfl+QlmfXM/uSJGkiS1tq1Sb4+s135/vtwm5X/neQJmW3EcFlmu9r+eJLbMyuk858/nOSDSV7WWrt1Vf84AOittfb2zG6X8jeSvCLJt2a2rOT4evaTSa7NrLa+KcnfHY7/qySfymx3+Ddldr/QZBY4r8hs19uXZ7ZHwje11o4fAf3jzOr5L2TWofuOJBeu5l8H01H3MiMP2DBV9dgk70zy5Nba1Xt9PgCwH1TVa5N8uLX29L0+Fxg7U3CBVNXnJ3lMZjf6fkdm05gAAGClTMEFktn0o9dltlX8s+5tsyIAAFiUKbgAAACshRFQAAAA1mIUa0DPOOOMdu655+71aQDAjt785jd/uLV2cK/PY57aCcCYnah2jiKAnnvuuTl8+PBenwYA7Kiq3rfX53A8tROAMTtR7TQFFwAAgLUQQAEAAFgLARQAAIC1EEABAABYCwEUAACAtRBAAQAAWAsBFAAAgLUQQAEAAFiL+wygVfWCqrqlqt4xd+z0qrqqqq4bHk+b+91zqur6qnp3VT2l14kDwFipnQCws5MZAb08yVOPO3Zpkqtba+cluXp4nap6bJKLknzp8Jn/UlWnrOxsAWB/uDxqJwDcw30G0NbaHyb56HGHL0hyxfD8iiQXzh1/cWvt9tbae5Ncn+TxKzpX2Fh/+oGP5eOfuaNL2zd8+FP5wEc/3aVt2FRqJ+yt2z57V950w/H/Ca7OH13/4dx519Fu7cOULboG9KzW2k1JMjyeORx/WJIPzL3vxuHYPVTVJVV1uKoOHzlyZMHTgOn77J1Hc+Evvz7/9PLDXdp/0s+9Nn/rZ17TpW1gG7UT1uQ5L3tbnvErf5wPfuy2lbf9x+/5SL71eW/If3719StvGzbBqjchqh2OtZ3e2Fq7rLV2qLV26ODBgys+DZiOo232n9Cf3fixPT4ToBO1E1bsnR/6eJLkU7ffufK2b/nEZ5Ikf/7hT628bdgEiwbQm6vq7CQZHm8Zjt+Y5OFz7zsnyYcWPz0AmAy1E4CNt2gAvTLJxcPzi5O8fO74RVX1gKp6ZJLzkrxxuVMEgElQOwHYeAfu6w1V9aIkT0pyRlXdmOS5SX46yUuq6tlJ3p/kGUnSWntnVb0kyTVJ7kzyPa21uzqdOwCMktoJe2trDvtdR3eczb6a72j92oYpu88A2lr7lhP86vwTvP+nkvzUMicFAPuZ2gnjcOddQiKMzao3IQIAgD21tbPXHUf73Sqlaqf9w4D7IoACADBJd9zpXp0wNgIoAACTdGeHNaCWfsJyBFAAACbps3etfgT0jg5twiYRQAEAmKQemxD1GFWFTSKAAgAwST1GK42AwnIEUBg5a00AYDE9wuJnbWwESxFAAQCYpDtMwYXREUABAJikLlNwjYDCUgRQGLkWPa0AsIg7ewTQYQT0qDUysBABFACASfpshym4W6OqPcItbAIBFEZOBysALKbnFNwe60thEwigAABM0l0dNgy6a+gZ7tE2bAIBFAAATtLWzCTxExYjgMLIKXAAsJjWcR1Lz7ZhygRQAAAmSUaE8RFAYeT0sALA7lTNHntU0K26rDzDYgRQAAAmpWc4lDthOQIoAACT1DeIiqKwCAEURk55A4DdOTYFd/VV9O5dcBVoWIgACgDAJPUIiVuhVgCFxQigMHIKHADsTs97dR5rW4GGRQigAABMU9f7gHZrGiZNAAUAYFJ6ZkO5E5YjgMLYqXQAsCt336uzS9vp1jZsAgEUAIBJ2QqHfabJSqCwDAEURs4mBwCwmJ41VH2GxQigAABMS8d7dboPKCxHAAUAYFLacY8rbdsMXFiKAAojp4cVAICpEEABAJiUu3fB7TEFN1tt6yGGRQigMHLKGwDszrEpuKuvoqbgwnIEUAAAJqV1XATa9xYvMH0CKAAAk9QzI8qfsBgBFEbOGhMA2J2u9/9UlmEpAigAAJNy7F6dHdaA9rzJKGwAARRGTnkDgMX0zIjqMyxGAAUAYFK67lRrABSWIoACADBJfe4DuvUogcIiBFAYOT2sALA7W2s/+9wHdGhbfYaFCKAAAACshQAKI2eKDwDszt3TZHtOwVWeYSECKAAAk9J199ueGxzBBhBAAQCYpB73AV1H2zBlAiiMnfoGALuytXylRwlVlmE5SwXQqvrBqnpnVb2jql5UVQ+sqtOr6qqqum54PG1VJwsA+53aCf21jvfqtAsuLGfhAFpVD0vyfUkOtda+LMkpSS5KcmmSq1tr5yW5engNLEh9g+lQO2E9etZOdRmWs+wU3ANJHlRVB5KcmuRDSS5IcsXw+yuSXLjkdwDAlKidsCY9d5K3Sz0sZuEA2lr7YJKfS/L+JDclubW19gdJzmqt3TS856YkZ+70+aq6pKoOV9XhI0eOLHoaMHmm+MB0qJ2wHj2n4KZn27ABlpmCe1pmPbaPTPIFSR5cVd92sp9vrV3WWjvUWjt08ODBRU8DAPYNtRPWpecmRP3ahk2wzBTcJyd5b2vtSGvtjiQvS/LVSW6uqrOTZHi8ZfnTBIBJUDthDfpuQrT1KILCIpYJoO9P8oSqOrWqKsn5Sa5NcmWSi4f3XJzk5cudImw2a0xgUtROWKuea0CBRRxY9IOttTdU1UuTvCXJnUnemuSyJA9J8pKqenZmhfYZqzhRANjv1E5Yj6674EqesJSFA2iStNaem+S5xx2+PbMeXWAFFDqYFrUT+ut5r867Zyapz7CQZW/DAgAAo9SzE1f+hMUIoAAATEq7+3H1MdEmRLAcARRGTnkDgN3pugvucY/A7gigAABMSs/RSQOfsBwBFEbOFB8AWIzdcGF8BFAAACbl7mmyXULisMOuSbiwEAEUAIBpuftOKT03IVp507ARBFAYOQUOABbU8zYs6jMsRAAFAGBSeu5UK3fCcgRQAAAmpe8uuCIoLEMABQBgUo5tQtRhDWjHtmETCKAAAExS19uwdGwbpkwAhZHTwQoAu9Nzp1q74MJyBFAAACal3X2vzh5tb/8OYHcEUBg5BQ4AFtN3M6JuTcOkCaAAAExKz3Bo8yFYjgAKAMCk9LwP6PHfAeyOAAojp6MVAHapYwK1CREsRwAFAGCS+u6jIIHCIgRQGDnlDQB25+5dcHuMgHZsGzaBAAoAwKSs5T6gq28aNoIACgDApHSdeCt5wlIEUBg5270DwGJ6rgFVn2ExAigAAJOyFQ67rgFdfdOwEQRQGDkFDgB2p+d9QN2GBZYjgAIAMEk9Q6IpuLAYARQAgEk5lg1XHxJ7jq7CJhBAYeR0sALAiKjLsBQBFACAyZifGttzEyJBFBYjgMLoqXAAsIiu9wPt2DZMmQAKAMBkzI969tgo6NguuCIoLEIABQBgMtoJnq+6ffETFiOAwsjpYAUAYCoEUAAAJqP7JkRDozqIYTECKIyc+gYAJ299U3BVaFiEAAoAwGSsbxOilTcNG0EABQCAXZI/YTECKIycHlYAOHnzU2O7rAG9xxNgNwRQAAAmo3vHrZ5hWIoACiNnkwMAWEzPGqo+w2IEUAAAJqnnFFwDobAYARQAgMnYvgtuv/blT1iMAAojp4cVAE7etk2IOsTErTZ73OIFNoEACgDAJPXMiOInLGapAFpVn1dVL62qd1XVtVX1VVV1elVdVVXXDY+nrepkYRPpYIVpUTuhr951U12G5Sw7AvqLSX6/tfbFSf5qkmuTXJrk6tbaeUmuHl4DADNqJ3TUTvB8Ze237Y/A7iwcQKvqoUm+Jsnzk6S19tnW2seSXJDkiuFtVyS5cNmTBIApUDthzYREGJ1lRkAfleRIkl+tqrdW1fOq6sFJzmqt3ZQkw+OZO324qi6pqsNVdfjIkSNLnAZMm/uMwaSondDZ/OZAfTYh2vm7gJOzTAA9kOQrkvzX1trjknwqu5gy1Fq7rLV2qLV26ODBg0ucBgDsG2ondLY9IHZofz7gyp+wa8sE0BuT3Nhae8Pw+qWZFdWbq+rsJBkeb1nuFGGzKW4wKWondLbtPqC9v6tz+zBFCwfQ1tpfJPlAVT1mOHR+kmuSXJnk4uHYxUlevtQZAsBEqJ0AbLoDS37+e5O8sKrun+TPk3xHZqH2JVX17CTvT/KMJb8DAKZE7YSe5kdAO0wjavdov1b+HTBlSwXQ1tqfJjm0w6/OX6ZdAJgqtRP6mt94qMttWDq3D1O37H1AAQBgNLaPUO6/9mHqBFAYOcUNABbTfxMiRRp2SwAFAGAytkXCHmtA+zYPkyeAAgAwGT02Hlpn+zB1AiiMnOk9ALAYFRTGRwAFAGAyek+RNQUXliOAwsgpbgBw8rbtUttjDLR3+zBxAigAAJOx7T6dRkBhdARQAAAA1kIAhZHTuQoAuzA/RbbHCOhco2o07J4ACgDAZLQTPO/Svjm4sGsCKIyc4gYAi+l+T9CurcM0CaAAAExG737b1nmKL0ydAAojp7YBwMnrvwvutvuwALskgAIAMBnrHAEFdk8ABQBgklrnIcre7cMUCaAwcnpaAeDkbd+ltkP71oDCUgRQAAAmY5336ZQ/YfcEUBg95Q0AFtH9NiyGQGHXBFAAACajdd6kdp0jrDBFAigAAJwkoROWI4DCyJndAwAnb1vdtAkRjI4ACgDAJPXfhEgChd0SQGHklDYAOHnzobDHJkHbQqciDbsmgAIAMBn9NyHq2z5MnQAKAMBkbFsC2mMNaOf2YeoEUBg5xQ0Adq9qf7YNUyeAAgAwGVvrPit9NglqbdZ2OrUPUyeAwsj12EABAKZqq2rer6rTLKKW+w1DoEo07J4ACgDA5FT1C4hbU3DlT9g9ARQAgMnYCp3VaaFma8faNksJdk8AhZHrWdoUTgCm59ga0F6t24MIFieAAgAwGVt9q7M1oD02IbIGFJYhgMLI9SxuCicAU1XVbxaR27DA4gRQAAAmo/cuuG1oO9GRC4sQQAEAmIxjmxB1vA/o3bvgSqCwWwIojFzP4qZsAjBVlY63YRkejYDC7gmgAABMxlbHbb/bsLRubcMmEEBh7LpuQqTrFoBpObYLbp8S2oa2t54DuyOAAgAwGdtvw9LjC+Y3IRJBYbcEUAAAJmeWEfsExDICCgsTQGHkehY3hROAqZlfA9rrNizlNiywMAEUAIDJ6L4GtLW714DqyoXdE0Bh5Hr2ruq5BWCqKv12qu3ZNkzd0gG0qk6pqrdW1SuG16dX1VVVdd3weNrypwkA06F2wnr02CRovkUdubB7qxgB/f4k1869vjTJ1a2185JcPbwGAI5RO6GTrVB4yv2q0xTcWduJCbiwiKUCaFWdk+Qbkzxv7vAFSa4Ynl+R5MJlvgM2XetY3nq2DexM7YS+jm1C1GeEsqUd2wVXGYVdW3YE9BeS/EiSo3PHzmqt3ZQkw+OZS34HAEyJ2gkdbb8PaIcpuPP3AdWRC7u2cACtqm9Kcktr7c0Lfv6SqjpcVYePHDmy6GnA5NmECKZD7YT+tkpbt11wh7YTdRQWscwI6BOTfHNV3ZDkxUm+tqp+I8nNVXV2kgyPt+z04dbaZa21Q621QwcPHlziNABg31A7obOtUc+te3Wu/gs6tg0bYOEA2lp7TmvtnNbauUkuSvLq1tq3JbkyycXD2y5O8vKlzxIAJkDthP62BiWr8v+3d+/BkpTlHcd/z8w5Z8/C7gLLLpuVXW4WUBA1ha4g0VAagiISwESrsHKhEhPMhUSTWBEkVfkrVRiqzKU0oQgSMSHiBSm2CCkkqDEmhqsCwoIsgrqwyEVqd1337Lk9+aN7ZnrmnF2me963p6fn+ymntrvPzNN93h189un30lG6QJkDCgwmxnNAr5J0jpk9IemcdB9AQeQ2YCyQO4FAuuaARorPHFCguIkQQdz9a5K+lm6/JOnsEHEBAKgrcicQS1IUNizec0CZAwoUF6MHFEBAMZJnJ3a00AAADEX8HlBv94ACyI8CFAAAALWRLTrjPAc0bnyg7ihAAQAAUBvZHtBY8ekBBYqjAAUqLubNVRZPAADUTWvqSqMRL8810n9Bk0eB/ChAAQAAUButkrBhFnyIbLu4ba2CS/0J5EYBClRdxORG4gQA1E0rt1mERYiysSUelQYUQQEKAACA2vDMY1hCV4id3tV0nzu5QG4UoAAAAKiPVi9ljNBpwckSREBxFKBAxcVc4ID7tgCAuumaAxo402VjZ/cB9I8CFAAAALWRfQxL+EWIOrGz+wD6RwEKVFzM5Jadu8I8FgBAHbR6Pc3C91BmY7eOAMiHAhQAAAC10d0DGngILj2gwMAoQAEAAFAb7XmajXj9k41G97kA9I8CFKi4qENwSzoPAABl6axUG36t2vZzQFkHFyiMAhQAAAC10bqfahb+5mrvHFBu3gL5UYACFRczt2UTJzkUAFALPfM0g4ZeMgeU7AnkRQEKAACA2mj1UjbavZThisTOc0C79wH0jwIUAAAAtRFzpdpWMcsquEBxFKBAxUUd3pMdgksWBQDUQHuhoFaRGDK2emOTO4G8KEABAABQG9lFiILHbhe34WMD44ICFKi4qIsQZaJzDxcAUAedYbLd+2GCqys2yRPIjwIUAAAAtdFZKCjGENyeOaABYwPjggIUAAAAtRF3EaJ4sYFxQQEKVFzUNYh8+W0AAEZXktCs/aiU8I9hiREbGBcUoAAAAKgNHsMCVBsFKFB58bKbd22TRQEAoy/qKrgRYwPjggIUAAAAtdHbAxozNrdugfwoQIGKK2t4D8OIAAB14L1zQIM+haU3NskTyIsCFBhjJE4AQN0s7aWM8RxQekCBoihAAQAAUBud54Cm++Hrz3ZsKlAgPwpQoOJi5jbyJgCgblqje0zx5oDGiA2MCwpQAAAA1E4j/VduyJutreG8ndjcygXyogAFKi7mNM1sbKaDAgDqoN1L2X5WZ7gEtzR2sNDA2KAABQAAQG20eylbc0CDxlZ3bApQIDcKUAAAANTGklVwQy5C5K3illVwgaIoQIGKizm/JBubeSwAgDroLUCDPoVlSXFL7gTyogAFAABAbVASAtVGAQpUXNSbqyxCBAComaXDZMMvQsQQXKA4ClAAAADURsyFgpYscEQFCuRGAQoAAID6aPVSNsL3UnpPbPpAgfwoQIGKK2kELikUAFALrV7K9hpEIZ8Dmv5p9IAChVGAAgAAoDZiztPkMSzA4ChAgYqLucS7dy1CRBoFAIy+di/liMUGxgUFKAAAAGpj6bM6RyM2MC4oQAEAAFAbS1aqDTsIN2JsYDwULkDNbLOZfdXMtpnZI2b2wfT4WjO708yeSP88ItzlAggpmzhJoUB85E4gvlavpLVXCooXmx5QIL9BekDnJf2Zu58i6U2S/tDMTpV0uaS73P1ESXel+wAAgNwJRNd5DmiERYgixgbGReEC1N13uvsD6fYeSdskHS3pQkk3pG+7QdJFg14kMM5i3l3tXoQo3nkAJMidQAm8Z5hslDmgrX2SJ5BXkDmgZnacpNMk3S1pg7vvlJJEK+moA3zmUjO7z8zue+GFF0JcBgAAI4PcCcTR+6zOsLG7nzEKIL+BC1AzWyXpZkkfcvfd/X7O3a919y3uvmX9+vWDXgYAACOD3AnEs2SeZsCBskvmlwLIbaAC1MwmlSTQG939S+nhH5nZxvTnGyU9P9glAuMt5gp7fsAdALGQO4G4vD0El8ewAFU0yCq4JulTkra5+8czP9oq6ZJ0+xJJtxa/PAAA6oPcCcTXWSioez9MbB7DAgxqYoDPvlnSb0h62My+nR77qKSrJH3ezN4v6QeS3jvYJQLjLe4iRNnHsJBEgRKQO4HIlvZShh+CSw8oUFzhAtTdvyHpQAPgzy4aFwCAuiJ3AvH1LkIUo0iMGRuouyCr4AIAAABV0OrxjLFQEIsQAYOjAAUqjueAAgCQXyPiY1hizC8FxgUFKAAAAGqj3UvZsx8nNiUokBcFKFBxvSlDBAAAD3lJREFUZaU2UigAoE4ajfDPAV0aG0BeFKAAAACojVbBaTGeA5r+2Z4DSgUK5EYBCgAAgNroHSYbNrZHiw2MCwpQoOJizi/pXoSI27gAgNHXymbtZ3VGjU3uBPKiAAUAAEBttO6ntleqDXiDdWnsYKGBsUEBClRczNyWvXNLDgUA1EHnUSkxFgqKGRsYDxSgAAAAqI32HNAIvZQxYwPjggIUAAAAtdPqpQzZT8kcUGBwFKBA1UXMbd2LEMU7DwAAZWmvVBthqdreHlAA+VGAAgAAoDY6CwVFeA6o98wB5eYtkBsFKFBxMYf3eNc2WRQAMPpa2aw9T3NEYgPjggIUAAAAtRG3B7Q7Nl2gQH4UoAAAAKiNpY9hCbkIEY9hAQZFAQpUXMybq10P5yaLAgBqoNNL2b0fJnjE2MCYoAAFAABAbfTO0xyV2MC4oAAFKi7mzVU/wDYAACOrp1syxhxQa88vJXsCeVGAAgAAoDZcrR5K5oACVUQBCgAAgNpwT0rPGAvVRp1fCowJClCg4uIuQlTOeQAAKIvLZWaKMU2zlSrpAQWKowAFAABAbXR6QGM8BzQJ1uldpQQF8qIABSou5NyV5aKXcx4AAMrRmgMaswfUWAYXKIwCFAAAALWR9IB2CsSgN1h75oACyI8CFAAAALXhSsbgRlmEqHcVXAYPAblRgAIVt7CYZLcYOW5+sRN1foEsCgCogd5VcEOGbj8HtBWb3AnkRQEKVNzs/GIpsWcX4p0HAICydOaAtnopAz4HtD0Elx5QoCgKUKDi9qdFYozpJl0FaMRCFwCAsrh7UnxGSJztRYjChwbGBgUoUHGtwjDGTVYKUABA3bh3hshKoYfgpnNAGzwHFCiKAhSouNbQ2LmFxeDPG9u/wBBcAEC9uNI5oK398IvgtlfBZQgukB8FKFBx7R5Q7140KGTs3m0AAEZV0gNqmWd1hp8D2orNIkRAfhSgQMXFLBIpQAEAdePyaD2g4jEswMAoQIGKK6sA3U8BCgCoAU/H4MZ8DEuDVYiAwihAgYqbjThPM2ZsAACGJekBDV8ldlbBpQIFiqIABSqOIbgAAPTP3TPzPwMvQtSeA9o5F4B8KECBits/v7DsdtVjAwAwDK6kQIxRJDpzQIGBUYACFbc/4jxNekABAHWz6K6GWbsAXQhYJbYWo2+mk0BDxgbGBQUoUHEMwQUAoH8zc4uanmhoerIpKezN25m5ZLTQIVNNTTaNBfyAAihAgYqbXVhsr7YXukjcHzE2AADDsG9uQdNTTa1MC9CZ2XBTTFoF6MqppqYnm9oXMDYwLihAgYrbN7ugtYdOJdtzYRPdzOyCVq2Y0GTTgscGAGAYZmYXtHKyU4CGzG+tgrMVf4bcCeRGAQpU3J6ZeR19+Mr2dujYa1ZOatWKieCxAQAYhn1zaQE6lfaAzoUb4dMqZqfT+BSgQH4UoEDF7Z6Z06vSAnT3zFzw2KunJ7V6ejJ4bAAAhmHf3EJ7iGxrP2TsqYmGmg3Tyskmo4eAAiaGfQEADmxx0fWT/fPtAjR0L+XumXmtnp5QsxE+NgAAwzAzt6h1qzJzQAMWifvnFttxpyeb2hewdxUYF9F6QM3sXDN73My2m9nlsc4D1Nne2Xm5SxvWrFCzYdoTuJdyz8y81kxPaPWKyeCxAeRD3gTCmEmH4E42Tc2GBV0oaF86v1RK5oGGXOAIGBdRClAza0r6pKR3SjpV0vvM7NQY5wLqrNUruWZ6Uqunw8/T3DMzFy02gP6RN4FwWkWimemQwMNkW8N7peRRLAzBBfKLNQT3dEnb3f17kmRmN0m6UNKjkc4nSZpbWNR3ntkV8xRAqZ5+aa8kac3KSR22clJPvbhX3/rBy0Fiu6Qf753VmpWTajZMz+/Zrwd+8LIsSHRg+DYdcYjWr14x7Mvo11DypiQ9t2tGz+7a94rvc+83Yn9v7Ddev6ftO16fbwx+3n4jDqtdhvT3lsQM+3eyZ2auXSSumGzqm0++pPu//7Ikb1+/K/ld3L2zLVf6v85+ezt5746Xf9qeWzo91dTDz+wKlpeBKjjtmCOinyNWAXq0pB9m9ndIOiPSudp+MjOvd//D/8Y+DVCqQ6ea+vlXH6lzTtmg677xlP77iReDxj/n1A3au39eX7h/h36F/35QI3/17tfo1844dtiX0a+h5E1JuvmBHbr6jsfLOBVQmiPTx5etWzWlR3fu1q/+Y7j89gsnrktip+fg356ok6evelf0c8QqQJfrROm6cWVml0q6VJKOOeaYICc9dMWE/vm33hgkFlAVm484RIcfMqUPv+NknXXSei303w3xitZMT+gNx66Vu+vzHzhTe2cZhov6OGnD6mFfQh6vmDelOLnz/Ndt1M++ak1f7zXrb4xEvyMp+gwn6zNi//FyqPg19v13Evy8fb5xCO3SMNMpG5Pv9L+8/ww99txuLSy6zJK/JbPO31eynQQ2WXvfLLudvKG1f8K6VZKkK847Ree+ZqNm5hmGC+QRqwDdIWlzZn+TpGezb3D3ayVdK0lbtmwJ8i/qqYmG3nbyUSFCAZUzPdnUWSetjxLbzHT68WujxAbQl1fMm1Kc3HnskYfq2CMPDREKqJz1q1do/eo4uXN6sqkzX31klNhAncVaBfdeSSea2fFmNiXpYklbI50LAIBRR94EAIyFKD2g7j5vZpdJukNSU9L17v5IjHMBADDqyJsAgHERawiu3P12SbfHig8AQJ2QNwEA4yDWEFwAAAAAALpQgAIAAAAASkEBCgAAAAAoBQUoAAAAAKAUFKAAAAAAgFJQgAIAAAAASkEBCgAAAAAoBQUoAAAAAKAU5u7DvgaZ2QuSvj/s6yjBOkkvDvsiRhDtlh9tVgztlt+4tNmx7r5+2BeRRe7EQdBmxdBu+dFmxYxLuy2bOytRgI4LM7vP3bcM+zpGDe2WH21WDO2WH22G2PiO5UebFUO75UebFTPu7cYQXAAAAABAKShAAQAAAACloAAt17XDvoARRbvlR5sVQ7vlR5shNr5j+dFmxdBu+dFmxYx1uzEHFAAAAABQCnpAAQAAAACloAAFAAAAAJSCAjQCM/uwmbmZrcscu8LMtpvZ42b2jszxN5jZw+nP/t7MLD2+wsw+lx6/28yOK/83ic/Mrjazx8zsITO7xcwOz/yMNivAzM5N22y7mV0+7OsZJjPbbGZfNbNtZvaImX0wPb7WzO40syfSP4/IfCbX966uzKxpZt8ys9vSfdoM0ZA38yF3hkXe7CBvDobc2Sd35xXwJWmzpDuUPBx8XXrsVEkPSloh6XhJT0pqpj+7R9KZkkzSf0h6Z3r8DyRdk25fLOlzw/7dIrXX2yVNpNsfk/Qx2myg9mymbXWCpKm0DU8d9nUNsT02Snp9ur1a0nfT79ZfS7o8PX75IN+7ur4k/amkf5N0W7pPm/GK8iJvFmozcme4tiRvdrcHeXOw9iN39vGiBzS8v5H055KyqztdKOkmd9/v7k9J2i7pdDPbKGmNu3/Tk2/cZyRdlPnMDen2FyWdXcc7IO7+ZXefT3f/T9KmdJs2K+Z0Sdvd/XvuPivpJiXtMpbcfae7P5Bu75G0TdLR6v6u3KDu71De713tmNkmSe+SdF3mMG2GWMibOZE7gyJvZpA3iyN39o8CNCAzu0DSM+7+YM+Pjpb0w8z+jvTY0el27/Guz6RJZpekIyNcdpX8tpI7PRJtVtSB2m3spcPKTpN0t6QN7r5TSpKtpKPStxX53tXR3yopCBYzx2gzBEfeDILcORjy5gGQN3Mjd/ZpYtgXMGrM7D8l/cwyP7pS0keVDItZ8rFljvlBjh/sMyPnYG3m7rem77lS0rykG1sfW+b9Y9NmA6ANlmFmqyTdLOlD7r77IDf3i3zvasXMzpf0vLvfb2Zv7ecjyxwbqzbDwZE3iyF3lmbcf/9lkTfzIXfmQwGak7v/0nLHzey1SsZwP5j+R7pJ0gNmdrqSuxebM2/fJOnZ9PimZY4r85kdZjYh6TBJPw73m5TnQG3WYmaXSDpf0tnpcANpzNtsAAdqt7FlZpNKkuiN7v6l9PCPzGyju+9Mh7s8nx4v8r2rmzdLusDMzpM0LWmNmf2raDMURN4shtxZGvJmD/JmIeTOHBiCG4i7P+zuR7n7ce5+nJIv0Ovd/TlJWyVdnK40d7ykEyXdk3bF7zGzN6XzLX5T0q1pyK2SLkm33yPpK5kEUxtmdq6kj0i6wN1/mvkRbVbMvZJONLPjzWxKyYISW4d8TUOTfkc+JWmbu38886Psd+USdX+H8n7vasXdr3D3Ten/j12s5L+jXxdthsDIm8WRO4Mib2aQN4shd+bkgVYz4tX9kvS00tX80v0rlaxw9bgyq1lJ2iLpO+nPPiHJ0uPTkr6gZFLyPZJOGPbvFKmdtisZA//t9HUNbTZwm56nZNW6J5UM1Rr6NQ2xLd6iZOjKQ5nv2HlK5jfdJemJ9M+1mc/k+t7V+SXpreqs5Eeb8Yr6Im/maityZ9j2JG922oK8OXgbkjtf4dX6Px8AAAAAAKJiCC4AAAAAoBQUoAAAAACAUlCAAgAAAABKQQEKAAAAACgFBSgAAAAAoBQUoAAAAACAUlCAAhVmZn9sZtvM7MZhXwsAAFVH3gSqj+eAAhVmZo8peTjxU5ljE+4+P8TLAgCgksibQPXRAwpUlJldI+kESVvNbJeZXWtmX5b0GTNrmtnVZnavmT1kZh9IP2Nm9gkze9TM/t3Mbjez9xwg/mFm9riZnZzuf9bMfre0XxAAgIDIm8BomBj2BQBYnrv/npmdK+ltki6T9MuS3uLu+8zsUkm73P2NZrZC0v+kSfY0SSdLeq2kDZIelXT9AeLvMrPLJH3azP5O0hHu/k/xfzMAAMIjbwKjgQIUGB1b3X1fuv12Sa/L3KU9TNKJks6S9Fl3X5D0rJl95WAB3f1OM3uvpE9K+rlI1w0AwDCQN4EKogAFRsfezLZJ+iN3vyP7BjM7T1LfE7vNrCHpFEn7JK2VtCPAdQIAUAXkTaCCmAMKjKY7JP2+mU1KkpmdZGaHSvq6pIvTuS4blQxDOpg/kbRN0vskXd+KBwBAzZA3gYqgBxQYTddJOk7SA2Zmkl6QdJGkWyT9oqSHJX1X0n8dKICZnSTpdySd7u57zOzrkv5C0l/GvXQAAEpH3gQqgsewADVmZp+WdJu7f3HY1wIAQNWRN4H4GIILAAAAACgFPaDAGDCzWyQd33P4I72LMQAAAPImEBMFKAAAAACgFAzBBQAAAACUggIUAAAAAFAKClAAAAAAQCkoQAEAAAAApfh/akZJh1JkCNUAAAAASUVORK5CYII=\n", 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\n", 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" ] @@ -332,7 +332,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -346,7 +346,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.1" + "version": "3.8.10" } }, "nbformat": 4,