diff --git a/lectures/lecture-13/BEST.ipynb b/lectures/lecture-13/BEST.ipynb index 528a212..4634ce6 100644 --- a/lectures/lecture-13/BEST.ipynb +++ b/lectures/lecture-13/BEST.ipynb @@ -9,54 +9,9 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Requirement already satisfied: pymc in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (5.20.0)\n", - "Requirement already satisfied: arviz>=0.13.0 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from pymc) (0.20.0)\n", - "Requirement already satisfied: cachetools>=4.2.1 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from pymc) (5.5.1)\n", - "Requirement already satisfied: cloudpickle in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from pymc) (3.1.1)\n", - "Requirement already satisfied: numpy>=1.25.0 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from pymc) (1.26.4)\n", - "Requirement already satisfied: pandas>=0.24.0 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from pymc) (2.2.2)\n", - "Requirement already satisfied: pytensor<2.27,>=2.26.1 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from pymc) (2.26.4)\n", - "Requirement already satisfied: rich>=13.7.1 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from pymc) (13.9.4)\n", - "Requirement already satisfied: scipy>=1.4.1 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from pymc) (1.14.1)\n", - "Requirement already satisfied: threadpoolctl<4.0.0,>=3.1.0 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from pymc) (3.5.0)\n", - "Requirement already satisfied: typing-extensions>=3.7.4 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from pymc) (4.11.0)\n", - "Requirement already satisfied: setuptools>=60.0.0 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from arviz>=0.13.0->pymc) (75.1.0)\n", - "Requirement already satisfied: matplotlib>=3.5 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from arviz>=0.13.0->pymc) (3.9.2)\n", - "Requirement already satisfied: packaging in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from arviz>=0.13.0->pymc) (24.1)\n", - "Requirement already satisfied: xarray>=2022.6.0 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from arviz>=0.13.0->pymc) (2025.1.1)\n", - "Requirement already satisfied: h5netcdf>=1.0.2 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from arviz>=0.13.0->pymc) (1.4.1)\n", - "Requirement already satisfied: xarray-einstats>=0.3 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from arviz>=0.13.0->pymc) (0.8.0)\n", - "Requirement already satisfied: python-dateutil>=2.8.2 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from pandas>=0.24.0->pymc) (2.9.0.post0)\n", - "Requirement already satisfied: pytz>=2020.1 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from pandas>=0.24.0->pymc) (2024.1)\n", - "Requirement already satisfied: tzdata>=2022.7 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from pandas>=0.24.0->pymc) (2023.3)\n", - "Requirement already satisfied: filelock>=3.15 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from pytensor<2.27,>=2.26.1->pymc) (3.17.0)\n", - "Requirement already satisfied: etuples in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from pytensor<2.27,>=2.26.1->pymc) (0.3.9)\n", - "Requirement already satisfied: logical-unification in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from pytensor<2.27,>=2.26.1->pymc) (0.4.6)\n", - "Requirement already satisfied: miniKanren in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from pytensor<2.27,>=2.26.1->pymc) (1.0.3)\n", - "Requirement already satisfied: cons in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from pytensor<2.27,>=2.26.1->pymc) (0.4.6)\n", - "Requirement already satisfied: markdown-it-py>=2.2.0 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from rich>=13.7.1->pymc) (3.0.0)\n", - "Requirement already satisfied: pygments<3.0.0,>=2.13.0 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from rich>=13.7.1->pymc) (2.15.1)\n", - "Requirement already satisfied: h5py in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from h5netcdf>=1.0.2->arviz>=0.13.0->pymc) (3.12.1)\n", - "Requirement already satisfied: mdurl~=0.1 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from 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in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from matplotlib>=3.5->arviz>=0.13.0->pymc) (3.2.0)\n", - "Requirement already satisfied: six>=1.5 in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from python-dateutil>=2.8.2->pandas>=0.24.0->pymc) (1.16.0)\n", - "Requirement already satisfied: toolz in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from logical-unification->pytensor<2.27,>=2.26.1->pymc) (1.0.0)\n", - "Requirement already satisfied: multipledispatch in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (from logical-unification->pytensor<2.27,>=2.26.1->pymc) (1.0.0)\n" - ] - } - ], + "outputs": [], "source": [ "!pip install pymc" ] @@ -70,17 +25,9 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Running on PyMC v5.20.0\n" - ] - } - ], + "outputs": [], "source": [ "import numpy as np\n", "import pymc as pm\n", @@ -131,20 +78,9 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "drug = (101,100,102,104,102,97,105,105,98,101,100,107,123,105,103,100,95,102,106,\n", " 109,102,113,102,100,102,102,101,102,106,102,103,111)\n", @@ -184,7 +120,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": { "scrolled": true }, @@ -211,7 +147,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -232,20 +168,9 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "with model:\n", " ν = pm.Exponential('ν_minus_one', 1/29.) + 1\n", @@ -262,7 +187,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -285,7 +210,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -305,50 +230,9 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Initializing NUTS using jitter+adapt_diag...\n", - "Multiprocess sampling (4 chains in 4 jobs)\n", - "NUTS: [group1_mean, group2_mean, group1_std, group2_std, ν_minus_one]\n" - ] - }, - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "03855614d33e431a89d0f401c1606162", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - "Output()" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/html": [ - "
\n"
-      ],
-      "text/plain": []
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "Sampling 4 chains for 1_000 tune and 2_000 draw iterations (4_000 + 8_000 draws total) took 2 seconds.\n"
-     ]
-    }
-   ],
+   "outputs": [],
    "source": [
     "with model:\n",
     "    trace = pm.sample(2000, return_inferencedata=True)"
@@ -363,20 +247,9 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": null,
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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-      "text/plain": [
-       "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "pm.plot_posterior(trace, var_names=['group1_mean','group2_mean', 'group1_std', 'group2_std', 'ν_minus_one'],\n", " color='#87ceeb');" @@ -384,20 +257,9 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
group1_mean102.6360.741101.224103.9970.0100.0075976.05106.01.0
group2_mean100.9160.385100.191101.6300.0050.0037313.05440.01.0
group1_std3.4500.8981.8675.1410.0140.0104050.04513.01.0
group2_std1.6320.3651.0002.2480.0050.0043668.02350.01.0
ν_minus_one6.34211.1230.07319.6500.1700.1203798.04765.01.0
difference of means1.7210.8210.1233.2010.0100.0086484.05471.01.0
difference of stds1.8180.8440.2983.4580.0120.0085269.05200.01.0
effect size0.6500.3040.0751.2070.0030.0027690.05837.01.0
\n", - "
" - ], - "text/plain": [ - " mean sd hdi_3% hdi_97% mcse_mean mcse_sd \\\n", - "group1_mean 102.636 0.741 101.224 103.997 0.010 0.007 \n", - "group2_mean 100.916 0.385 100.191 101.630 0.005 0.003 \n", - "group1_std 3.450 0.898 1.867 5.141 0.014 0.010 \n", - "group2_std 1.632 0.365 1.000 2.248 0.005 0.004 \n", - "ν_minus_one 6.342 11.123 0.073 19.650 0.170 0.120 \n", - "difference of means 1.721 0.821 0.123 3.201 0.010 0.008 \n", - "difference of stds 1.818 0.844 0.298 3.458 0.012 0.008 \n", - "effect size 0.650 0.304 0.075 1.207 0.003 0.002 \n", - "\n", - " ess_bulk ess_tail r_hat \n", - "group1_mean 5976.0 5106.0 1.0 \n", - "group2_mean 7313.0 5440.0 1.0 \n", - "group1_std 4050.0 4513.0 1.0 \n", - "group2_std 3668.0 2350.0 1.0 \n", - "ν_minus_one 3798.0 4765.0 1.0 \n", - "difference of means 6484.0 5471.0 1.0 \n", - "difference of stds 5269.0 5200.0 1.0 \n", - "effect size 7690.0 5837.0 1.0 " - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "pm.summary(trace)" ] diff --git a/lectures/lecture-13/Kalman Filter.ipynb b/lectures/lecture-13/Kalman Filter.ipynb index f4f432e..dca74c4 100644 --- a/lectures/lecture-13/Kalman Filter.ipynb +++ b/lectures/lecture-13/Kalman Filter.ipynb @@ -17,17 +17,9 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Requirement already satisfied: adskalman in /Users/andrew/anaconda3/envs/pm21-dragon/lib/python3.11/site-packages (0.3.11)\n" - ] - } - ], + "outputs": [], "source": [ "!pip install adskalman" ] @@ -41,7 +33,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -52,7 +44,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -73,7 +65,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -98,7 +90,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -108,7 +100,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -124,20 +116,9 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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bMQxRp5kx1ANuTjYoqqjB/1LzpC6HiIioTRiGqNNYqATMHl7XIvRjfJbE1RAREbUNwxB1qnuDPQEAe07lc80yIiKSBYYh6lR9ejpgRO/u0IvA5oSLUpdDRETUKoYh6nT1rUM/xmdxAVciIjJ5DEPU6aYFusPGSoWz+aVIyCqUuhwiIqIWMQxRp3O0scKdQ9wBABuPXJC4GiIiopYxDFGXuHdE3aOyX45lo6K6VuJqiIiImscwRF1itK8zPLvboriiBv89nit1OURERM1iGKIuoVIJuGd4fUdqPiojIiLTxTBEXaZ+VNmBswW4WFgucTVERESGMQxRl/HqYYfQPs4QRWAzO1ITEZGJYhiiLlXfOrTx6AXOOURERCaJYYi61B0BbnBQW+L85TIcTr8idTlERERNMAxRl7KztsS0AM45REREpothiLpc/ZxDvybnoLSyRuJqiIiIGmMYoi43ond3+GrtUVZVi9+Sc6Quh4iIqBGGIepygiD8uXgrH5UREZGJYRgio5g9vBcEATicfgXnL5dKXQ4REVEDhiEyCneNLcb10wIANrF1iIiITAjDEBnNfSO8AACbjl6EXs85h4iIyDQwDJHRhPm7wsnGEhcLyxFz9rLU5RAREQFgGCIjsrGywIxhHgCAjUeyJK6GiIioDsMQGdW9wXWPyn5PyUVRRbXE1RARETEMkZEN9dSgv4sDKmv02HaMcw4REZH0GIbIqARBwH0j6ucc4qMyIiKSHsMQGd3MoF6wUAlIyCzEmbwSqcshIiKFYxgio3NxtMGEAT0BcPFWIiKSHsMQSaL+UdnmoxdQU6uXuBoiIlIyhiGSxCQ/V/Swt0ZecSX2nS6QuhwiIlIwhiGShLWlCndfm3OIHamJiEhKDEMkmfqV7P84kYerpVUSV0NERErFMESSGeyhgb+7E6pq9dh6LFvqcoiISKEYhkhSnHOIiIikxjBEkrp7WC9YWQhIuViE1JwiqcshIiIFYhgiSfWwt8ZkP1cAnHOIiIikIZswdPXqVURERECj0UCj0SAiIgKFhYVtPv7xxx+HIAhYtmxZl9VIHVP/qOynhIuo5pxDRERkZLIJQ3PnzkViYiKio6MRHR2NxMREREREtOnYn376CYcOHYKHh0cXV0kdceuAnujpqMbl0irsPJkndTlERKQwsghDqampiI6OxqpVqxAaGorQ0FCsXLkS27ZtQ1paWovHXrx4EQsWLMC6detgZWVlpIqpPSwtVJgd1AsAsObgecScLUCOrlziqoiISClkEYYOHjwIjUaDUaNGNWwbPXo0NBoNYmJimj1Or9cjIiICL7zwAgYPHtym76qsrERRUVGjF3W9+jmH9p8pwNyVhzB26U5siMuUuCoiIlICWYSh3NxcuLi4NNnu4uKC3NzcZo979913YWlpiWeffbbN3xUVFdXQL0mj0cDLy6tDNVP7ONhYNnqvF4HFm1PYQkRERF1O0jC0ZMkSCILQ4is+Ph4AIAhCk+NFUTS4HQCOHDmCjz/+GN9++22z+xiyaNEi6HS6hldWFue/MYb0gtIm22pFERkFZRJUQ0RESmLZ+i5dZ8GCBZgzZ06L+/j4+CApKQmXLl1q8rP8/Hy4uroaPG7fvn3Iy8uDt7d3w7ba2lr8/e9/x7Jly5CRkWHwOLVaDbVa3fZfgjqFr9YeKqGuRaiehSDAR2snXVFERKQIkoYhrVYLrVbb6n6hoaHQ6XQ4fPgwRo4cCQA4dOgQdDodxowZY/CYiIgI3HbbbY22TZkyBREREXjkkUduvnjqVO4aW0TNDsCizckNgegfUwbAXWMrbWFERGT2JA1DbTVo0CBMnToV8+fPx5dffgkA+Otf/4rp06dj4MCBDfv5+fkhKioKs2bNgrOzM5ydnRt9jpWVFdzc3BodQ6YjPMQb4/tr8dh3R3AipwhJF3RSl0RERAogiw7UALBu3ToEBAQgLCwMYWFhCAwMxJo1axrtk5aWBp2ON1A58+hmhw/Dh0IlAL+n5OLAmQKpSyIiIjMniKIotr6bchUVFUGj0UCn08HJyUnqchTj9Z9T8N3B8xjg6oDfnh0PSwvZ5HYiIjIB7bl/8w5DJmnh7QPQ3c4Kpy6VYG3seanLISIiM8YwRCapm501/h5W17frwx2ncLmkUuKKiIjIXDEMkcl6YKQ3Brk7oaiiBu9vPyV1OUREZKYYhshkWagEvDGjbhmVH+IykXKRneOJiKjzMQyRSRvp2wMzhnpAFIElW4+D/f2JiKizMQyRyVt0px9srSwQf/4qth7LlrocIiIyMwxDZPLcNbZ4emJfAEDUbydRWlkjcUVERGROGIZIFh4b3wdePWyRW1SB5bvPSF0OERGZEYYhkgUbKwu8Ms0fALBybzrOX266yj0REVFHMAyRbIT5u2J8fy2qavX456+pUpdDRERmgmGIZEMQBLx+lz8sVQJ2nLiEvafypS6JiIjMAMMQyUo/F0c8FOoDAHjjl+OortVLWxAREckewxDJzt9u6w9ne2uczS/FdzEZUpdDREQyxzBEsqOxtcKLU+vWLfv4j9PIL+a6ZURE1HEMQyRL9wV7IaCXBsWVNXj/v2lSl0NERDLGMESypFIJWDKjbqj9f45k4VhWobQFERGRbDEMkWwF9+6B2UG96tYt++U49HquW0ZERO3HMESy9tIdfrCztkBCZiF+SrwodTlERCRDDEMka65ONnhmUn8AQNTvJ1HCdcuIiKidGIZI9h4d5wMfZzvkF1fi052npS6HiIhkhmGIZE9taYFXp9d1pv56fzrSC7huGRERtR3DEJmFSX4umDCwJ6prRby17YTU5RARkYwwDJFZEAQBr073h5WFgJ0n87DrZJ7UJRERkUwwDJHZ6NvTAY+M9QUAvLntBKpquG4ZERG1jmGIzMozk/pB66BGekEpvjmQLnU5REQkAwxDZFYcbawQeYcfAOCT/51GXlGFxBUREZGpYxgiszM7qBeGenVDaVUt3o3mumVERNQyhiEyOyqVgDdmDAYAbDp6AUczr0pcERERmTKGITJLw7y64b5gTwDAG1u5bhkRETWPYYjM1gtTB8JBbYljF3TYePSC1OUQEZGJYhgis+XiaIO/Tb62btlvqfgj9RJydOUSV0VERKaGYYjM2rwxPtA6WONqWTUe+y4eY5fuxIa4TKnLIiIiE8IwRGbtcmklLpdWNbzXi8DizSlsISIiogYMQ2TW0gtKId7Qd7pWFJFRUCZNQUREZHIYhsis+WrtoRKabu/Vzcb4xRARkUliGCKz5q6xRdTsAFgIjRPRpzvPQLyxyYiIiBTJUuoCiLpaeIg3bhnQExkFZcguLMcLG4/hxyMX4KO1x9MT+0ldHhERSYxhiBTBXWMLd40tAKC0qgav/Xwc//pvGno722F6oIfE1RERkZT4mIwU56FQHzwy1gcA8Px/jnG5DiIihWMYIkV6ZZo/bhvkgqoaPeZ/F4+sKxxdRkSkVAxDpEgWKgEfzwnCYA8nXC6twiPfxkFXXi11WUREJAGGIVIse7UlVs8LgZuTDc7kleCpdUdQXauXuiwiIjIyhiFSNDeNDVY/PAJ21hY4cOYyXtmSwiH3REQK0+4w9PDDD2Pv3r1dUQuRJAZ7aPDpA0FQCcCG+Cx8seec1CUREZERtTsMFRcXIywsDP3798c777yDixcvdkVdREY1eZArXpvuDwB4N/okfkvOkbgiIiIylnaHoU2bNuHixYtYsGABfvzxR/j4+OCOO+7Axo0bUV3NDqgkXw+P9cXDY3wAAAs3JCKBQ+6JiBShQ32GnJ2d8be//Q0JCQk4fPgw+vXrh4iICHh4eGDhwoU4ffp0Z9dJZBSvTvfHJD8XVNboMf/fHHJPRKQEN9WBOicnB9u3b8f27dthYWGBO++8E8ePH4e/vz8++uijzqoRAHD16lVERERAo9FAo9EgIiIChYWFrR6XmpqKGTNmQKPRwNHREaNHj0ZmZman1kbmw0Il4JMHgjDI3QkFJVV49Ns4FFWwxZOIyJy1OwxVV1dj06ZNmD59Onr37o0ff/wRCxcuRE5ODr777jts374da9aswZtvvtmphc6dOxeJiYmIjo5GdHQ0EhMTERER0eIxZ8+exbhx4+Dn54fdu3fj2LFjePXVV2FjwxXLqXkOakt8/fAIuDqpcTqvBE+vO8oh90REZkwQ2zmOWKvVQq/X44EHHsD8+fMxbNiwJvtcvXoVw4cPR3p6eqcUmZqaCn9/f8TGxmLUqFEAgNjYWISGhuLkyZMYOHCgwePmzJkDKysrrFmzpsPfXVRUBI1GA51OBycnpw5/DslPykUd7vviIMqra/HASG+8M2sIBEGQuiwiImqD9ty/290y9NFHHyE7Oxuff/65wSAEAN27d++0IAQABw8ehEajaQhCADB69GhoNBrExMQYPEav1+PXX3/FgAEDMGXKFLi4uGDUqFH46aefWvyuyspKFBUVNXqRMg3ppcEnDwRBEID1hzOxch+H3BMRmaN2h6GIiAijP2bKzc2Fi4tLk+0uLi7Izc01eExeXh5KSkqwdOlSTJ06Fdu3b8esWbMwe/Zs7Nmzp9nvioqKauiXpNFo4OXl1Wm/B8nP7f6ueGVa3ZD7qN9PIjqFQ+6JiMyNpDNQL1myBIIgtPiKj48HAIOPJ0RRbPaxhV5f18fj7rvvxsKFCzFs2DBERkZi+vTp+OKLL5qtadGiRdDpdA2vrKysTvhNSc4eHeuDh0J7QxSB5zYk4lhWodQlERFRJ7KU8ssXLFiAOXPmtLiPj48PkpKScOnSpSY/y8/Ph6urq8HjtFotLC0t4e/v32j7oEGDsH///ma/T61WQ61Wt6F6UgpBEPDadH9kXinD7rR8/OW7ePz09Bh4dreTujQiIuoEkoYhrVYLrVbb6n6hoaHQ6XQ4fPgwRo4cCQA4dOgQdDodxowZY/AYa2trhISEIC0trdH2U6dOoXfv3jdfPCmKpYUKn80djntXxOBkbjH+8m08fnwyFE42VlKXRkREN0kWC7UOGjQIU6dOxfz58xEbG4vY2FjMnz8f06dPbzSSzM/PD1u2bGl4/8ILL2DDhg1YuXIlzpw5g88++wy//PILnnrqKSl+DZK5uiH3IXBxVCPtUjEWfJ+AGg65JyKSPVmEIQBYt24dAgICEBYWhrCwMAQGBjYZMp+WlgadTtfwftasWfjiiy/w3nvvISAgAKtWrcKmTZswbtw4Y5dPZsKjmy1WzwuBrZUF9p7Kx+tbj3OVeyIimWv3PENKw3mGyJDtx3Px+NojEEXglWmD8Nj4PlKXRERE1+nSeYaICAgb7IaX7xwEAHj7t1T897jhKR6IiMj0MQwRddBfxvniwVHedUPuf0hE8gVd6wcREZHJYRgi6iBBEPDGjMG4dUBPlFfX4i/fxSG7sFzqsoiIqJ0YhohuQt2Q+yD4uTkir7gSj34bh2Kuck9EJCsMQ0Q3ydHGCqsfDkFPRzVO5nLIPRGR3DAMEXWCXt1ssXreCNhYqbDnVD5e3JiEmDMFyNHxsRkRkaljGCLqJIGe3bAsPAgAsDnhIuauOoSxS3diQ1ymxJUREVFLGIaIOtFQLw2uXzpYLwKLN6ewhYiIyIQxDBF1ovSCUtw4i2mtKCKjoEySeoiIqHUMQ0SdyFdrD5XQdLuzvbXxiyEiojZhGCLqRO4aW0TNDoCF0DgR/fO3VNTqufIN0fVydOWIOcuBBiQ9rk3WCq5NRh2RoytHRkEZqmpq8cTaoyivrsX88b54eZq/1KURGU2OrhzpBaXw1drDXWPb6Gcb4jKxaHMy9CKgEoCo2QEID/GWqFIyR+25f1saqSYiRXHX2Db8z//9+4bi6e+PYuW+dPi5OeGeYE+JqyPqejeGnedvH4DRfZxxubQK6fmleDf6ZEP/uvqBBrcM6NkkNBEZA8MQURebFuiOk7n98OnOM1i0JRl9etojyLu71GURdZkcXXlDEALqws7720+1eEz9QAOGIZIC+wwRGcHC2wbgdn9XVNXo8fiaI7hUVCF1SURd5kR2EQx1kevpaI2hXt0wpq9zk58JAHo7MwiRNBiGiIxApRLwUfgwDHB1QF5xJf665ggqqmulLouo0xVXVOOjHU1bgSwEAVsXjMPPT4/F9/NH4917AmBx3TgDEcCnO89yoAFJgmGIyEgc1JZY+dAIdLOzwrGsQizenAyOXyBzUlRRjYe+PoyU7CLYWlk0TDNhIQh4Z/aQRo/AwkO8sT9yEtbPH40XpgyEIADrD2fiqXX8Q4GMj6PJWsHRZNTZYs4UIOLrw6jVi3j5zkGYf0sfqUsiumm68rogdCyrEN3srLD2L6Pg7GCNjIIy+GjtWu0LFJ2Sg2d/SERVjR4jfXpg5bwR0NhaGal6MkftuX+zZYjIyMb00+LVaYMAAFG/p2J3Wp7EFRHdHF1ZNSJWH2oIQuseG4UhvTRw19gitK9zmzpFTx3ijn8/OhKOaksczriC+784iFwd+9aRcTAMEUlg3hgfhI/wgl4EnlmfgLP5JVKXRNQhurJq/N/qQ0i6oEN3Oyt8/9hoDPbQdOizRvdxxn+eCIWLoxppl4pxz4oYnMnjvw3qegxDRBIQBAFvzhyM4N7dUVxRg/n/jkdRRbXUZRG1WY6uHDuO5+L+r2KQfFGHHvbW+H7+aPh73Fx3gkHuTtj05Bj00drjYmE57vsiBjtO5HKmaupS7DPUCvYZoq6UX1yJGZ/tR46uAhMG9sTqeSGwMLS4GZEJuX5CRQCwt7bA5qfGYqCbY6d9x5XSKjzybRyOZRU2bONM1dQe7DNEJBM9HdX4KmIE1JYq7E7Lx3v/PSl1SUQtunFCRQAor66Fk23nzuHbw94aH90/tNG2+pmq2UJEnY1hiEhiAZ4avHdvIADgyz3n8FPCRYkrImre6UslTSZU1ItARkFZp39XroHJSetnqibqTAxDRCbg7mG98OSEvgCAlzYlIelCobQFERkgiiK+P5TZZLuFIMBHa9fp3+ertYehp8bJ/PdBnYxhiMhE/CNsICb7uaCyRo+//vsI8rhkB5mYD7afQvTxXAgCWpxQsbO4a2wRNTsAFkLdl9Xnond+P4l1h853+veRcrEDdSvYgZqMqbiiGrOW1w0nDvLuhvXzR8PGykLqskjhcnTlWLXvHFbvzwAAvHtPAG4Z0LPNEyp2xvdnFJSht7MtVu3LwNcH0gEAb949GA+F+nTpd5N8tef+zTDUCoYhMrb0glLc/dl+FFXU4N5gT/zr3kAIAkeYkTQ2xGUicnMy6u8Ukwe5YPW8EMnqEUURS38/iS/3ngMAvDrdH38Z5ytZPWS6OJqMSMZ8tfb4bO5wqARg45EL+PpAhtQlkULl6MobBSEA2H0yT9LRXIIgIPIOPzw9sa6P3VvbTuDLPWclq4fMA8MQkQm6ZUBPLL6zbsmOt389gX2n8yWuiJQovaAUNz47qO2ikWPtIQgC/hE2EM/d1h8AEPX7SXy287SkNZG8MQwRmai/jPPFPcM9oReBBd8nIKOgVOqSSGF8tfZNtnXVyLH2EgQBz902AP8IGwAAeH/7KSz74xTY84M6gmGIyEQJgoC3Zw3BMK9u0JVX47F/x6OYS3aQEdXUNg4WXTlyrKMWTOqPyDv8AADL/jiND7afQnZhGZfvoHZhB+pWsAM1SS2vqAJ3fbYfl4oqMdnPBV89NIJLdpBR/Cc+Cy9uTMIQDye8PM3fKCPHOmrVvnP456+pAOqG4Ivg8h1Kxw7URGbExckGX0WMgLWlCv87mYcPtqdJXRIpROzZywCAWwf2RGhfZ5MNQgDw2Pg+WHitD1H9X/hcvoPaimGISAaGenXDu/cEAACW7z6LrceyJa6IzJ0oiog9VxeGQvtoJa6mbUJ8ezTZxuU7qC06d2U9Iuoys4I8cTKnGF/uPYcXNx6Dk40lrC1V8NXam/Rf7CRPmVfKkK2rgJWFgODe3aUup03ql++4fu00QYBJdPgm08aWISIZeXGqHyYM7ImKaj0e/iYOc1cewtilO7Ehrul6UUQ34+C1R2TDvLrB1loes6DfuHwHAEAEki7opCuKZIFhiEhGLFRCw/xD9dgvgrrCzpN5AIAhHhqJK2mf8BBv7I+ciPXzR2F6oBtEAM+sT8Cha4/8iAxhGCKSmYKSyibb2C+COtMPhzOx/cQlAMC3BzNk1/LorrFFaF8tloUH4XZ/V1TV6PHYd/E4kV0kdWlkohiGiGSmvl/Ejdw1NsYvhsxOjq4ci7ckN7wXZdzyaGmhwqcPBGGkbw8UV9bgoa8PI/My/2igphiGiGTGYL8IAEt+OY7KmlqJqiJzkV5Q2qgDMiDvlkcbKwusmjcCg9ydUFBSiYivDyGvuELqssjEMAwRydCf/SJG47MHgmBjpcLutHw8tfYoqmr0UpdHMmbKS3B0lJONFb57NATePexw/nIZHv46DkWczZ2uwzBEJFN1/SKcMX2oB1bPC4H62qSMC74/iupaBiLqmIrqxteOKS7B0REujjZY85eR0DqocSKnCPO/i0dFNVtSqQ7DEJEZGNtPi5UP1c1Svf3EJTy7PoGBiDrkl2sTeo7y7YH180djf+REs1nOorezPb59JASOakscSr+CZ9cnoIb/TggMQ0Rm45YBPfFlRDCsLVT4PSUXCzck8n/01C6iKOLnxIsAgPtGeJn8EhwdMaSXBl9d94fDKz+lcKV7YhgiMicTB7pgxf8Nh5WFgG1JOfj7j8dQe2NvWKJmnMgpwtn8UlhbqjBlsKvU5XSZ0L7O+GROEFQC8ENcFt7nen+KxzBEZGYmD3LF53OHw1Il4OfEbLzAQERtVL/m3WQ/FzjaWElcTdeaOsQN78yqW+/v811nsXp/OnJ05Yg5WyDLaQTo5sgmDF29ehURERHQaDTQaDSIiIhAYWFhi8eUlJRgwYIF8PT0hK2tLQYNGoQVK1YYp2AiCYUNdsNnc4NgoRKwOeEiIjclQc9ARC3Q60VsO5YDAJgx1EPiaoxjzkhvvDBlIADgrW0nMCZqJ5e4USjZhKG5c+ciMTER0dHRiI6ORmJiIiIiIlo8ZuHChYiOjsbatWuRmpqKhQsX4plnnsHPP/9spKqJpDN1iDs+mVMXiH48cgGLtyQzEFGzjmZexcXCcjioLTHRz0XqcozmqQl9ET7CCwBQ/6+DS9wojyzCUGpqKqKjo7Fq1SqEhoYiNDQUK1euxLZt25CW1vyz3oMHD2LevHmYMGECfHx88Ne//hVDhw5FfHy8Easnks60QHd8eP/Qhr4Rr/7MzqJk2PeH6lpCxvfXwsZKHguzdgZBEAy2hMl5oklqP1mEoYMHD0Kj0WDUqFEN20aPHg2NRoOYmJhmjxs3bhy2bt2KixcvQhRF7Nq1C6dOncKUKVOaPaayshJFRUWNXkRydvewXvjg/qEQBGDdoUws2XqcgYga+f7QeWxOqBtFFn08V3GPiPq4NF3iRu4TTRqb3PtbySIM5ebmwsWlabOti4sLcnNzmz3uk08+gb+/Pzw9PWFtbY2pU6di+fLlGDduXLPHREVFNfRL0mg08PLy6pTfgUhKs4I88a976wLRdwfP481tJxiICEDdTezln1Ia3st5LbKOql/i5voVbt64e7DZTSvQVTbEZWLsUnn3t5I0DC1ZsgSCILT4qn+kJQhNV6YURdHg9nqffPIJYmNjsXXrVhw5cgQffPABnnrqKfzxxx/NHrNo0SLodLqGV1ZW1s3/okQm4N5gTyydXTd65psDGXjnt1QGIkJ6QSluvAyU+IgoPMQbu/4+Ad3t6kbR6flvo01ydOWI3JzcsJ6dXPtbWUr55QsWLMCcOXNa3MfHxwdJSUm4dOlSk5/l5+fD1dXwXBjl5eVYvHgxtmzZgmnTpgEAAgMDkZiYiPfffx+33XabwePUajXUanU7fxMieQgP8UaNXsTLW1Kwcl86LFQqvDR1YIt/VJB589XWPSK6vm+9Uh8R+Wjt8fztA/Dqz8fx+a4zuH+El6L6T3VES2FaTi1rkoYhrVYLrVbb6n6hoaHQ6XQ4fPgwRo4cCQA4dOgQdDodxowZY/CY6upqVFdXQ6Vq3PhlYWEBvZ6z8pJyPTiqN2r1Il77+Ti+2HMWlioBfw8bwECkUO4aW7wzKwCRm5MBACoBZrEWWUfdH+KFFbvPIltXge8PZeLRcb5Sl2TSzCVMy6LP0KBBgzB16lTMnz8fsbGxiI2Nxfz58zF9+nQMHDiwYT8/Pz9s2bIFAODk5IRbb70VL7zwAnbv3o309HR8++23+Pe//41Zs2ZJ9asQmYSHQn3w2nR/AMBnu87g4/+dlrgiktKckd7w7l4Xfj59IMhs1iLrCLWlBZ6Z3B8AsHz3WZRXcTHXltT3t7q+A/ozk/rJLkzLIgwBwLp16xAQEICwsDCEhYUhMDAQa9asabRPWloadDpdw/sffvgBISEhePDBB+Hv74+lS5fi7bffxhNPPGHs8olMzqPjfPHKtEEAgGV/nManDESK1qt73V/yNZyLCvcGe8Krhy0KSiqxJjZD6nJMXniINw5ETsJIn+4AgANnC2TXH1HSx2Tt0aNHD6xdu7bFfW48+W5ubvjmm2+6siwiWXtsfB/U6EUs/f0kPthxChYWAmYF9UJ6QSl8tfay++uOOs5dYwMAyNFVSFyJ9KwsVHhmUn+8uDEJX+w5hwdH9Ya9Wja3S0m4a2yxbE4QJn+wB3EZV7H56EXcE+wpdVltJpuWISLqGk/c2rdhSYL3otO4JIFCuV0LQ7kMQwCA2UG94ONshyulVfg2JkPqcmTBo5stnr32iDHq91ToyqslrqjtGIaICE9P7IfHrnUU5ZIEyvRnyxD/ewOApYUKf7ut7sb+1d5zKK6Qz41dSn8Z54u+Pe1RUFKFD7Y3v0KEqWEYIiIAwKRBTSc2VeJ8M0rldu2RKFuG/jRjaC/07WkPXXk1vt6fIXU5smBtqcJbdw8BAKyNPY+Ui7pWjjANDENEBODPIbI3srbkkHslcHNin6EbWagEPHfbAADAqv3noCtj61BbjOmnxV1DPaAXgRc3JuHAadNfpoNhiIgA/DlE1uKG+YYe/TYee07lS1QVGUt9n6G84kpkXimVuBrTMS3AHQNcHVBcUYPV+89JXY5svHznIFhbCDiRU4QHV5t+H0SGISJqEB7ijf2RE7F+/mj8/PQYDPXqBl15NR7+5jA+33VGdsNlqe3+SP1zlv8J/9pt0jcuY1KpBCy81jr09YEMXC2tkrgieRAhorr2z/9fmHofRIYhImrEXWOL0L7OGOrVHf95fDTmhHhBFIF//TcNT6w9wo6kZihHV46XtyQ3vDf1G5exTRnsBn93J5RU1uCrfWwdaov0glLc+KeTKfdBZBgiomapLS2w9J5ARM0OgLWFCv89fgkzPz+AM3klUpdGnSi9oBQ3zrVoyjcuY1OpBCy8va516LuYDBSUVEpckekz1AdRJcBkl+lgGCKiVj0w0hsbHh8NNycbnM0vxczPDyA6JVfqsqiTGLpxyXF9qa502yAXBHpqUFZViy/3nJW6HJNnqA+iZ3dbuDraSFhV8xiGiKhNgry745dnxmGUbw+UVNbgibVH8K//nkQtl2+QvfobV/1tS4CyF2s1RBAatw79lpTNx4itqO+D+Pnc4bCxUiHzSjm2JFyUuiyDGIaIqM16Oqqx9rFReHRs3QSNn+86i0e+jUNhGTuVyl14iDeenNAXQF0fGSUv1tqcCQN6wruHLapqRTz1fYLJj5AyBe4aW0wLdG+YoiDq95MoMsF+hwxDRNQuVhYqvHaXPz6eMww2VirsPZWPuz7bj+PZ8phcjZrX39UBAJB1tYytHgbkFlUg6+qf54Udzdvu0bG+6KO1R0FJJT7+w/QWhWYYIqIOuXtYL2x5aiy8e9gh60o57lkRgy0JF6Qui27CiewiAMDx7CK2ehiQXlCKG2eXYEfztrG2VGHJjMEAgG9jMpCWWyxxRY0xDBFRhw1yd8IvC8ZhwsCeqKjWY+GGY1iy9Tiqa/VSl0btlKMrx+r96Q3v2erRlOGO5qY7QsrU3DKgJ6YMdkWtXsTrW1NMat4yhiEiuikaOyusnheCZyf1A1D3V9+DKw8hr5jLOsgJh9e3rr6j+fWB6MkJ/djRvB1ene4PtaUKseeuYE3secScNY2lOhiGiOimWagEPB82EF9FBMNBbYnDGVdw16f7ceT8ValLozbi8Pq2CQ/xxoHISRjb1xkAcIWDB9rFs7sdnp5Y94fTaz8fx9yVprFUB8MQEXWasMFu+HnBWPRzccClokrM+eog1h06b1LN4WTYjcPrAQ6vb467xrbhhr41MRtlVTUSVyQvM4Z6NHpvCo9kGYaIqFP17emAn54eizuGuKG6VsTLW1Lw0qYkVFTXSl0atSI8xBtfRgwHANhZqzCun1biikzX6D7O8Ophi5LKGvyWzAlI2yPbQOiR+pEswxARdToHtSWWPzgckXf4QSUA/4m/gPu/PIiEzKsm00eADCsoqXvsU1alx7j3dkn++MJUqVQCwkd4AQD+E5clcTXyYoqPZBmGiKhLCIKAJ27ti+8eHYludlZIuqDDrOUxJtNHgJrK0ZXjlZ9SGt6LJvD4wpTdG+wFlQAczriCc/lcr6+t3DW2eHtWQMN7lSD9I1mGISLqUuP798TqeSMabTOFPgLUFEeUtY+bxga3DugJoK71k9rugZHecHVUAwC+jAiWfMZzhiEi6nKVNU3nHeJN1vSY4uMLUxceUveobNPRC6jh/Frt4tG9riXIFNY3ZBgioi5n6CYLAM4O1sYvhprlrrFF2GDXhvcWgiD54wtTN8nPFc721sgvrsSutHypy5EVN6e6FewvFVVKXAnDEBEZQf2wbQuhcSJ6L/ok9CbwVyH9KaewbrLMx8b5Yn/kRMkfX5g6a0sVZg/vBQDYwI7U7eJ6LQzlFkk/QSvDEBEZRXiIN/ZHTsT6+aPx9cMjYG2pwh+peVix56zUpdE1FwvLceyCDoIAPH5rX7YItVH9o7JdaXnIM4Ebu1zUh6FLOunPGcMQERmNu8YWoX2dMcnPFW9eW7Txg+1p2HeajxdMwY/XWjaGenZDz2udW6l1/VwcEdy7O2r1IjYdvSh1ObLhpqm7xi6ZwNI9DENEJIk5I70RPsILehF4dn0CLhZyZJmUNsRlYtn/TgMAjmUVcuqDdqqfc+jH+CzOuN5Gro7XHpOxZYiIlOyNuwdjSC8nXC2rxlNrj6CyhrNUSyFHV47IzckN70Vw6oP2mhboDntrC5wrKEVcBtfkawtXDTtQExHBxsoCKx4MRjc7Kxy7oMMbv5yQuiRFSs0pwo2NGZz6oH3s1ZaYHli35hY7UrdNfZ+hksoalFRKu74bwxARScqrhx2WhQ+DIADfH8rEj/G8kRjb5qNNJwzk/ELtd/+1jtS/JmejqKJa4mpMn4PaEg5qSwDAJYk7njMMEZHkJgx0wXOTBwAAXvkpBSkXdRJXpBy/HMvGtqS6hUbr54Li/EIdM9y7G/q5OKCiWo9fjmVLXY4sONtbAQBOZEv7b55hiIhMwjOT+mHiwJ6orNHjyXVHoCvjX9ZdLetKGRZf6yv07KR+OBA5Cevnj+b8Qh0kCALmXGsdWnvwPBclbsWGuEycv1J3fp5dnyhpp32GISIyCSqVgGXhQfDqYYusK+V4bkMCJ2TsQtW1ejz7QwKKK2sQ3Ls7np3cv2HqA7YIddysoF6wEIDU3GIuStyCHF05FplQp32GISIyGRo7K6x4MBhqSxV2peXj051npC7JbH38x2kkZBbC0cYSy8KHwdKCt4POUFWrR+11GZ6LEhtmaosC8+onIpMypJcG/5w5BACw7H+nsDstT+KKzE/M2QJ8vrsuaC6dHQivHuwo3VnSC0qbbOPIvKZMbVFghiEiMjn3jfDC3FHeEEXgbz8kIusKbySd5UppFRZuSIQoAnNCvDAt0F3qksyKoZu8SgBH5t2gfr3CeioBknbaZxgiIpP0+l3+GOqpga68Gk+uO4KKak7IeLNEUcSLG4/hUlEl+va0x2t3+Utdktmpv8lfH4j83Z0aVminP4WHeKNXt7rzsuLB4ZJ22mcYIiKTpLa0wPL/C0Z3OyukXCzC6z8fl7ok2fv3wfP4IzUP1hYqfPrAcNhZW0pdklkKD/HGgchJeHvmEFiqgJTsInx/mJ2oDdGV1022OMDNSdI6GIaIyGT16maLTx8YDpUAbIjPwpe7z3K4cgedyC7C27+lAgAW3+kHfw9pbz7mzl1jiwdH90bkHYMAAG/+cgInc4skrsq0VFTXNsw87exgLWktDENEZNLG9dfi72EDAQBR0Sc5XLkD0vNL8dh3caiq0WOynwvmjfGRuiTFeHSsb8P8WQu+T0BZlbTLTpiSgpK6NcmsLVRwVEvbSskwREQmb+Ywj0bvOVy57TbEZWLiB7uRfW1l8DF9nSEIQitHUWdRqQS8f99QuDiqcSavBG9y/b0Gl0uqAABaB2vJr0mGISIyeecNjCbjcOXW3bgaPQC889tJhkgjc3ZQN6y/90NcFrZyqQ4AwOXSupYhZwe1xJUwDBGRDBgargwA7hqO0GnJmbwSrkZvIsb002LBxH4AgMWbk5F5mf8NCorrWoak7i8EMAwRkQzUD1e2uKEp/Z3fUlHLJTuadfT81SbbuBq9dP42uT9G9O6OksoaPPNDAqpq9FKXJKmCay1DWrYMERG1TXiIN/ZHTsT6+aOxfG4QrC1V2H7iEpZsPQ7xxuYPwuWSSqzenw4AELgavUmwtFDh4weCoLG1wrGsQnywPU3qkiRV32fIFFqGOMkEEcmGu8b2zxu5IODp749iTex5uGls8PS1RxBU54Mdp1BUUYNB7k5Y+VAwsq6Uw0drxyAksV7dbPHevYF4fM0RfLn3HEL7OmPCQBepy5JE/WgyrT1bhoiIOuTOAHe8Pr1uBuV//TcNG49ckLgi05FyUYf11yb5e2PGYHh2t+Nq9CZkymA3zAvtDQD4+3+OIflCoSLnz2oYTeYofcuQbMLQ22+/jTFjxsDOzg7dunVr0zGiKGLJkiXw8PCAra0tJkyYgOPHOYstkbl4eKwvHr+1DwAgclMS9pzKl7gi6YmiiDd+OQ5RBO4a6oGRvj2kLokMWHTnIAxyd8Ll0irc9dkBRc6fVd8y5MyWobarqqrCfffdhyeffLLNx7z33nv48MMP8dlnnyEuLg5ubm64/fbbUVxc3IWVEpExvTTFDzOHeaBGL+LJtUeQfEEndUmS2nosG3EZV2FrZYFFd/hJXQ41w8bKAq/fsDac0ubPKjChPkOyCUNvvPEGFi5ciICAgNZ3Rt1fR8uWLcPLL7+M2bNnY8iQIfjuu+9QVlaG77//vourJSJjUakEvHfvUIzt54yyqlo88u1hxQ5bLquqQdRvJwEAT03oC49ufCxmyvQGOv4rZeoDvV7E5WstQ6YwIlQ2Yai90tPTkZubi7CwsIZtarUat956K2JiYpo9rrKyEkVFRY1eRGTarC1V+OL/gjHI3QkFJVWY983hhv/RKsmK3WeRW1QBrx62mH9LH6nLoVYYmj9LJUARUx98G5OB+gg08/MDkj8eNNswlJubCwBwdXVttN3V1bXhZ4ZERUVBo9E0vLy8vLq0TiLqHI42Vvj2kRD06maL9IJSPPpdvKLWgYrPuIIVu88CAF6+0x82VhYSV0StqZ8/6/pANMyru9l3dM/RleOtX/9clsQUHg9KGoaWLFkCQRBafMXHx9/Ud9y43okoii2ugbJo0SLodLqGV1ZW1k19PxEZj6uTDb57dCS62dXN4/LM9wmoqTX/ie02xGXi3i8Oouba44bCsiqJK6K2Cg/xxoHISVhylz8EAEczr+IXM1+u42xeqcnNjC7pPEMLFizAnDlzWtzHx8enQ5/t5uYGoK6FyN3dvWF7Xl5ek9ai66nVaqjV0vdsJ6KO6efigNXzRmDuykP438k8vPpzCt6ZFSD5QpBdxdD6Yy9vScGtA3uafQuDuXDX2OLhsb64UlqFT3aeweItyQjy7gbP7ub5uOzA2aajPqWeGV3SliGtVgs/P78WXzY2HVt7yNfXF25ubtixY0fDtqqqKuzZswdjxozprF+BiExQcO8e+OSBIKgEYP3hLHzyvzPI0ZWb5Vwu6QWm91c2dcyzk/sjyLsbiitq8PyGYybRsbiz7UnLw1d7zwEwrZnRZdNnKDMzE4mJicjMzERtbS0SExORmJiIkpKShn38/PywZcsWAHWPx5577jm888472LJlC1JSUvDwww/Dzs4Oc+fOlerXICIjmTLYDW/ePQQA8NEfpzAmaqdZzuXS3a7psGSp/8qmjrG0UOHj8CA4qC1xOOMKlu86I3VJnWpt7HnM+yYO9U+uI6f4Yf380dgfORHhId6S1iabMPTaa68hKCgIr7/+OkpKShAUFISgoKBGfYrS0tKg0/05x8iLL76I5557Dk899RRGjBiBixcvYvv27XB0dJTiVyAiI/u/0b3xcKgPADSMXDGFzpqd6eDZy43em8Jf2dRx3s52ePPuwQCAZf87je0ncs2iRTNHV45Xf0pptO29/6aZzBIxgsgVDltUVFQEjUYDnU4HJycnqcshonaKOVOAuasONdm+fv5ohPZ1lqCiziOKIu74eB9O5hbjH2EDENy7h8ncXKjjRFHE335IxNbrOlKrBCBqdoDkLSgdFXO2AHNXGvffYXvu37JpGSIi6gjfnk3ncjGXx0hJF3Q4mVsMtaUKEaE+XH/MTAiCgAWTGi88LPcWzZ4OTQcmmdK/Q4YhIjJrhuZyWRg2wCxCw4b4uqk/7hjiBo2tlcTVUGcqMDBpqJw7xp/NL2303tQe50o6tJ6IyBjCQ7wxvr8WT649imMXdIhLvwJxQstzjpm68qpa/JJY9xjl/hGcHNbc1M9Off2AMlNqSWmv3Wl5AID7gj0xe7inyT3OZcsQESmCRzc7LJsTBGsLFfacyseOE5ekLumm/J6Sg+LKGnj1sMXoPvLu+0RN1bdo1lMJMKmWlPYQRRG70+rmFpoW6G6Sj3MZhohIMXy19nhsvC8A4M1tJ1BRXStxRR23Ia7uEdn9wV5Q3dgpisxCeIg3JgzsCQB48ta+su08vf9MAXKLKqC2FEw2uDMMEZGiLJjUD+4aG1y4Wt6wlpfcZBSU4lD6FQgCcE+wp9TlUBca6dsDAHD+ijz7Cm2Iy8RDqw8DACprRPyceFHiigxjGCIiRbGztsQr0/wBACv2nEXmZfndZH48UtcqdEv/nvDoZlqPG6hzBfTSAACSL+pa2dP05OjKsWhzMq6fv8dUR8QxDBGR4twZ4Iax/ZxRVaPHm9uOS11Ou2RdKcX3h+pm0A4PYcdpc1cfhs5fLoOurFriatonvaAUN64oYqoj4hiGiEhxBEHAGzMGw1Il4I/UPOw8KY/O1BviMnHLv3bj6rWb4pVSrk5v7rrZWcOrR13rX0q2vFqHamqbzulsqiPiGIaISJH6uTji0XF1nanf+MX0O1M3PHK47v7y+s/HTfKRA3WuwF7dANRNsikXtXoRH+441Wibqc0tdD3OM0REivXs5P74OfEizl8uw6p957BgUn+pS2pWS48cTPHmQp1nSC8Nfk3OQYqM+g2tjT2PxKxCOKotse6xUSitqjW5uYWux5YhIlIsB7UlFt85CADw2a4zuHDV9Poy1KufhO96pvrIgTpXoGddv6Gki4XSFtJG2YXleC/6JADgxTv8EOjVzSTnFroewxARKdqMoR4Y5dsDFdV6/HNbqtTlNMtdY4uI0b0b3pvyIwfqXEM86sJQ1pVyFJaZdj+x7MIyLPg+AaVVtQju3R0PjpTH3EgMQ0SkaIIg4I27B8NCJSD6eC72nsqXuqRmaeysAQC39Ndif+RE2U7CR+2jsbNCb+e6FsANcVkm209sQ1wmxi7dhaOZVwEAtwzQymZCUIYhIlI8PzcnPBRa1+qy5JfjqKrRS1yRYfV9RiYPcmWLkMI4XVuIN+r3kxi7dCc2xGVKXFFjhuYU+uSPMyYb3G7EMEREBGDh7QOgdVDjXH4pVu9Pl7qcJkRRbBhNFHCtDwkpQ46uHCnXjSTTi6Y3eaGc5hQyhGGIiAiAk40VFt3hBwD4dOdpk7rRAEBuUQUKSiphoRLg7+4kdTlkROkFpbhxxh5TCxpi0ymFZNXBn2GIiOiaWUG9ENy7O8qqavH2r6bVmTr5WstAfxcH2FhZSFwNGZOhkYSCAJMJGqIo4vNdZxptk1sHf4YhIqJrVCoBb949GCoB2JaUg5X7zppMC1H92lT1yzOQcrhrbBE1OwAWwp+JyFIADpwpMInr8/eUXMScvQy1pQqbngzF+vmjZdfBn2GIiOg6gz00GHVtpfC3fzWdzqpx6VcAoGFUESlLeIg39kdOxLrHRsG7hy2q9cA/fkyS/Posv64V9fFb+yK4dw+Tn1PIEIYhIqLr5OjKceha8ADqOqsu2pws6V/gPxzOROy1mj7YccokwhkZn7vGFn162uPC1T+vRamvzxW7z+BiYTl6dbPFk7f2laSGzsAwRER0HUOjYvQicCTjqiT15OjKsXhLcsN70QRHEpHxNHd9/pRw0ei1ZF4uwxd7zwEAXpk2CLbW8u3LxjBERHQdQ51VAeDVn1Nw6Nxlo9cj9yHL1Lmauz7fjU7Du9EnUVNrvDmy3vr1BKpq9BjbzxlTh7gZ7Xu7AsMQEdF1buysqhIAd40NrpZV48FVh/BdTAZEQ+OIu4iv1h433vvkNGSZOpeh63NMn7o+bit2n8XclYeQq6vo8jr2nMrHjhOXYKESsOSuwRAEecw03RxBNOa/ahkqKiqCRqOBTqeDkxPn9iBSihxdOTIKyuCjtUM3W2u8tCkJW49lAwDuC/bEWzOHGG2I+y3v7UTmlbrHYvVDluU0Uoc63/XXp7vGFr8m5eClTUkoqaxBD3trfBQ+DLcO6Nkl311Vo8fUZXtxrqAUj471xWt3+XfJ99ys9ty/GYZawTBEREDdXCqr9qUj6vdU6EVgqKcGX0QEd/momcqaWgS8vh1VtXp8dP9QjJbhSB0yjoyCUjy17ihO5BRBEICnJ/RDeIgnsq6Ww1dr3ynXTY6uHJ/uPI3vD2VB62CNnf+YACcbq06ovvMxDHUihiEiut6+0/l4Zn0CCsuqoXWwxvIHgzHy2lD8rnA08ypmL49BD3trHHnlNtk/jqCuVVFdi7e2ncC6Q41HHKoEIGp2wE21KG6Iy8SizckNfdjuDfbE+/cNvZlyu1R77t/sM0RE1A7j+/fE1qfHwc/NEQUlVZi7MhZrDnZdP6Kj5+tGsQV5dWMQolbZWFng7VkBeGNG40dX9UPwsws71vE+MfMqIjclN+rMv+XoBbMZ1cgwRETUTt7Odtj81BhMD3RHjV7Eqz8fR+SmZFTW1Hb6dyVkFgIAhvfu3umfTearv6tjk216EZi9/CA+2J6GtNziVj/jSmkV1saex/1fHsTM5TEG1keD2YxqtJS6ACIiObKztsSnDwRhSC8N3os+iQ3xWUi7VIwv/i8YbhqbTvueo5nXWoa8u3XaZ5L5qx+Cf+O0DLlFFfh05xl8uvMM+rs4YHqgB6YFusNebYH0glK4ONog+WIhtiZmY9/pAtTc+AHXMadRjewz1Ar2GSKi1uw9VdePSFdeDa2DGm/PHAxHW6ub7rR6LOsq7v48BgKAlDemwF7Nv1+p7TbEZWLx5hTUiiIsBAGv3eWPbnZW+OVYDvaeykdVG+YkGtLLCTOGemB6oAf2nc5v9HmmPqqRHag7EcMQEbXF+culeHzNEZy87vHDzXRa3RCXichNyQ2PJt695+Y6v5Iy3TgEv56uvBo7TlzCxiNZiD13pclxj471wYOje6NvT4c2fZ4pYgdqIiIj6+1sj8/nDm+0TS8CkZuTcf5yabs+K0dXjkWbkxv10eASHNQR7hpbgwunamytcG+wJ56d3N/gcbf7uzUJQi19ntwxDBERdZJLxU1n/hVF4K5PD+CT/53G5ZLKNn0Ol+AgYzG0vIc59QVqK4YhIqJO0ty6UUUV1fhwxymMWboTizYn40xeSYuf09NB3WSbEm9Q1PVuXN6jvi+QubX8tIZ9hlrBPkNE1B43dlp9a+Zg2KstsXLfOaRcLGrYb5KfCx4b54vQvs6N5g8SRRHPrE/AtqSchm1y6KxK8ianvkBtxQ7UnYhhiIjay9CNRRRFHE6/glX70/FH6iXU/593kLsTHhvni7uGeuByaSW+2nsO3xzIgKVKwPIHh8PRxsqsblBExsIw1IkYhoios6UXlOLr/en48UgWKqrrhjc7qi1RUlnT0Gl6WoA7Pn9wePMfQkQt4mgyIiIT5qu1x1szhyB20WS8MGUgnO2tUXxdEAKA6JQcjh4jMhKGISIiiXSzs8bTE/vho/BhTX5mTksdEJk6hiEiIon1d3Xg8GYiCTEMERFJjMObiaTFhW6IiExAeIg3bhnQ0+yGNxPJAcMQEZGJcNfYMgQRSYCPyYiIiEjRGIaIiIhI0RiGiIiISNFkE4befvttjBkzBnZ2dujWrVur+1dXV+Oll15CQEAA7O3t4eHhgYceegjZ2dldXywRERHJhmzCUFVVFe677z48+eSTbdq/rKwMR48exauvvoqjR49i8+bNOHXqFGbMmNHFlRIREZGcyG5tsm+//RbPPfccCgsL231sXFwcRo4cifPnz8Pb2/Dqz5WVlaisrGx4X1RUBC8vL65NRkREJCNcm6wZOp0OgiC0+JgtKioKGo2m4eXl5WW8AomIiMjoFBOGKioqEBkZiblz57aYEBctWgSdTtfwysrKMmKVREREZGyShqElS5ZAEIQWX/Hx8Tf9PdXV1ZgzZw70ej2WL1/e4r5qtRpOTk6NXkRERGS+JJ2BesGCBZgzZ06L+/j4+NzUd1RXV+P+++9Heno6du7cyXBDREREjUgahrRaLbRabZd9fn0QOn36NHbt2gVnZ+cu+y4iIiKSJ9msTZaZmYkrV64gMzMTtbW1SExMBAD069cPDg4OAAA/Pz9ERUVh1qxZqKmpwb333oujR49i27ZtqK2tRW5uLgCgR48esLa2btP31g+2Kyoq6vxfioiIiLpE/X27TYPmRZmYN2+eCKDJa9euXQ37ABC/+eYbURRFMT093eD+Nx7TmqysrGY/hy+++OKLL774Mu1XVlZWq/d62c0zZGx6vR7Z2dlwdHSEIAid+tn1cxhlZWWxL5MBPD+t4zlqGc9P63iOWsbz0zpTPUeiKKK4uBgeHh5QqVoeLyabx2RSUalU8PT07NLv4Ki1lvH8tI7nqGU8P63jOWoZz0/rTPEcaTSaNu2nmHmGiIiIiAxhGCIiIiJFYxiSkFqtxuuvvw61Wi11KSaJ56d1PEct4/lpHc9Ry3h+WmcO54gdqImIiEjR2DJEREREisYwRERERIrGMERERESKxjBEREREisYw1IWWL18OX19f2NjYIDg4GPv27Wtx/z179iA4OBg2Njbo06cPvvjiCyNVKp32nKPdu3dDEIQmr5MnTxqxYuPZu3cv7rrrLnh4eEAQBPz000+tHqO0a6i950hp11BUVBRCQkLg6OgIFxcXzJw5E2lpaa0ep5TrqCPnR2nX0IoVKxAYGNgwoWJoaCh+//33Fo+R4/XDMNRFNmzYgOeeew4vv/wyEhISMH78eNxxxx3IzMw0uH96ejruvPNOjB8/HgkJCVi8eDGeffZZbNq0yciVG097z1G9tLQ05OTkNLz69+9vpIqNq7S0FEOHDsVnn33Wpv2VeA219xzVU8o1tGfPHjz99NOIjY3Fjh07UFNTg7CwMJSWljZ7jJKuo46cn3pKuYY8PT2xdOlSxMfHIz4+HpMmTcLdd9+N48ePG9xfttdP25dKpfYYOXKk+MQTTzTa5ufnJ0ZGRhrc/8UXXxT9/PwabXv88cfF0aNHd1mNUmvvOdq1a5cIQLx69aoRqjMtAMQtW7a0uI8Sr6HrteUcKfkaEkVRzMvLEwGIe/bsaXYfJV9HbTk/Sr+GRFEUu3fvLq5atcrgz+R6/bBlqAtUVVXhyJEjCAsLa7Q9LCwMMTExBo85ePBgk/2nTJmC+Ph4VFdXd1mtUunIOaoXFBQEd3d3TJ48Gbt27erKMmVFadfQzVDqNaTT6QAAPXr0aHYfJV9HbTk/9ZR4DdXW1uKHH35AaWkpQkNDDe4j1+uHYagLFBQUoLa2Fq6uro22u7q6Ijc31+Axubm5BvevqalBQUFBl9UqlY6cI3d3d3z11VfYtGkTNm/ejIEDB2Ly5MnYu3evMUo2eUq7hjpCydeQKIp4/vnnMW7cOAwZMqTZ/ZR6HbX1/CjxGkpOToaDgwPUajWeeOIJbNmyBf7+/gb3lev1w1Xru5AgCI3ei6LYZFtr+xvabk7ac44GDhyIgQMHNrwPDQ1FVlYW3n//fdxyyy1dWqdcKPEaag8lX0MLFixAUlIS9u/f3+q+SryO2np+lHgNDRw4EImJiSgsLMSmTZswb9487Nmzp9lAJMfrhy1DXUCr1cLCwqJJC0deXl6TxFzPzc3N4P6WlpZwdnbuslql0pFzZMjo0aNx+vTpzi5PlpR2DXUWJVxDzzzzDLZu3Ypdu3bB09OzxX2VeB215/wYYu7XkLW1Nfr164cRI0YgKioKQ4cOxccff2xwX7lePwxDXcDa2hrBwcHYsWNHo+07duzAmDFjDB4TGhraZP/t27djxIgRsLKy6rJapdKRc2RIQkIC3N3dO7s8WVLaNdRZzPkaEkURCxYswObNm7Fz5074+vq2eoySrqOOnB9DzPkaMkQURVRWVhr8mWyvH4k6bpu9H374QbSyshJXr14tnjhxQnzuuedEe3t7MSMjQxRFUYyMjBQjIiIa9j937pxoZ2cnLly4UDxx4oS4evVq0crKSty4caNUv0KXa+85+uijj8QtW7aIp06dElNSUsTIyEgRgLhp0yapfoUuVVxcLCYkJIgJCQkiAPHDDz8UExISxPPnz4uiyGtIFNt/jpR2DT355JOiRqMRd+/eLebk5DS8ysrKGvZR8nXUkfOjtGto0aJF4t69e8X09HQxKSlJXLx4sahSqcTt27eLomg+1w/DUBf6/PPPxd69e4vW1tbi8OHDGw3XnDdvnnjrrbc22n/37t1iUFCQaG1tLfr4+IgrVqwwcsXG155z9O6774p9+/YVbWxsxO7du4vjxo0Tf/31VwmqNo76Ibw3vubNmyeKIq8hUWz/OVLaNWTo3AAQv/nmm4Z9lHwddeT8KO0aevTRRxv+H92zZ09x8uTJDUFIFM3n+hFE8VrPJiIiIiIFYp8hIiIiUjSGISIiIlI0hiEiIiJSNIYhIiIiUjSGISIiIlI0hiEiIiJSNIYhIiIiUjSGISIiIlI0hiEiIiJSNIYhIiIiUjSGISIiIlI0hiEiUpT8/Hy4ubnhnXfeadh26NAhWFtbY/v27RJWRkRS4UKtRKQ4v/32G2bOnImYmBj4+fkhKCgI06ZNw7Jly6QujYgkwDBERIr09NNP448//kBISAiOHTuGuLg42NjYSF0WEUmAYYiIFKm8vBxDhgxBVlYW4uPjERgYKHVJRCQR9hkiIkU6d+4csrOzodfrcf78eanLISIJsWWIiBSnqqoKI0eOxLBhw+Dn54cPP/wQycnJcHV1lbo0IpIAwxARKc4LL7yAjRs34tixY3BwcMDEiRPh6OiIbdu2SV0aEUmAj8mISFF2796NZcuWYc2aNXBycoJKpcKaNWuwf/9+rFixQuryiEgCbBkiIiIiRWPLEBERESkawxAREREpGsMQERERKRrDEBERESkawxAREREpGsMQERERKRrDEBERESkawxAREREpGsMQERERKRrDEBERESkawxAREREp2v8DEm+PBph++j0AAAAASUVORK5CYII=", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plt.plot(state[:, 0], state[:, 1], '.-')\n", "plt.xlabel('x')\n", @@ -146,7 +127,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -159,7 +140,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -174,20 +155,9 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plt.plot(observation[:, 0], observation[:, 1], '.-')\n", "plt.xlabel('x')\n", @@ -196,7 +166,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -212,7 +182,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -230,20 +200,9 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plt.plot(state[:, 0], state[:, 1], '.-', label='true')\n", "plt.plot(observation[:, 0], observation[:, 1], '.-', label='observed')\n", @@ -255,7 +214,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -275,20 +234,9 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "plt.plot(state[:, 0], state[:, 1], '.-', label='true')\n", "plt.plot(observation[:, 0], observation[:, 1], '.-', label='observed')\n",