diff --git a/soln/chap10.ipynb b/soln/chap10.ipynb index 43bb1b6d..3efaca65 100644 --- a/soln/chap10.ipynb +++ b/soln/chap10.ipynb @@ -26,12 +26,6 @@ "cell_type": "code", "execution_count": 1, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:57.008876Z", - "iopub.status.busy": "2021-04-16T19:35:57.008345Z", - "iopub.status.idle": "2021-04-16T19:35:57.010962Z", - "shell.execute_reply": "2021-04-16T19:35:57.010380Z" - }, "tags": [ "remove-cell" ] @@ -52,12 +46,6 @@ "cell_type": "code", "execution_count": 2, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:57.015477Z", - "iopub.status.busy": "2021-04-16T19:35:57.014870Z", - "iopub.status.idle": "2021-04-16T19:35:57.017060Z", - "shell.execute_reply": "2021-04-16T19:35:57.017656Z" - }, "tags": [ "remove-cell" ] @@ -76,12 +64,6 @@ "cell_type": "code", "execution_count": 3, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:57.022776Z", - "iopub.status.busy": "2021-04-16T19:35:57.021815Z", - "iopub.status.idle": "2021-04-16T19:35:57.803761Z", - "shell.execute_reply": "2021-04-16T19:35:57.802992Z" - }, "tags": [ "remove-cell" ] @@ -129,14 +111,7 @@ { "cell_type": "code", "execution_count": 4, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:57.810691Z", - "iopub.status.busy": "2021-04-16T19:35:57.810259Z", - "iopub.status.idle": "2021-04-16T19:35:57.812763Z", - "shell.execute_reply": "2021-04-16T19:35:57.812378Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", @@ -156,14 +131,7 @@ { "cell_type": "code", "execution_count": 5, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:57.816818Z", - "iopub.status.busy": "2021-04-16T19:35:57.816328Z", - "iopub.status.idle": "2021-04-16T19:35:57.818361Z", - "shell.execute_reply": "2021-04-16T19:35:57.817986Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "from scipy.stats import binom\n", @@ -183,12 +151,6 @@ "cell_type": "code", "execution_count": 6, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:57.823943Z", - "iopub.status.busy": "2021-04-16T19:35:57.823225Z", - "iopub.status.idle": "2021-04-16T19:35:57.833447Z", - "shell.execute_reply": "2021-04-16T19:35:57.833883Z" - }, "tags": [ "remove-output" ] @@ -197,7 +159,7 @@ { "data": { "text/plain": [ - "0.39840637450196037" + "0.39840637450199173" ] }, "execution_count": 6, @@ -221,12 +183,6 @@ "cell_type": "code", "execution_count": 7, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:57.838678Z", - "iopub.status.busy": "2021-04-16T19:35:57.837996Z", - "iopub.status.idle": "2021-04-16T19:35:58.041887Z", - "shell.execute_reply": "2021-04-16T19:35:58.042248Z" - }, "tags": [ "hide-input" ] @@ -234,7 +190,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -265,20 +221,13 @@ { "cell_type": "code", "execution_count": 8, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.046639Z", - "iopub.status.busy": "2021-04-16T19:35:58.046025Z", - "iopub.status.idle": "2021-04-16T19:35:58.048789Z", - "shell.execute_reply": "2021-04-16T19:35:58.048386Z" - } - }, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "0.5595238095238095 [0.51 0.61]\n" + "0.5595238095238094 [0.51 0.61]\n" ] } ], @@ -318,19 +267,12 @@ { "cell_type": "code", "execution_count": 9, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.053831Z", - "iopub.status.busy": "2021-04-16T19:35:58.053237Z", - "iopub.status.idle": "2021-04-16T19:35:58.057509Z", - "shell.execute_reply": "2021-04-16T19:35:58.057086Z" - } - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.008357181724917673" + "0.008357181724918204" ] }, "execution_count": 9, @@ -359,19 +301,12 @@ { "cell_type": "code", "execution_count": 10, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.061641Z", - "iopub.status.busy": "2021-04-16T19:35:58.061171Z", - "iopub.status.idle": "2021-04-16T19:35:58.063847Z", - "shell.execute_reply": "2021-04-16T19:35:58.064196Z" - } - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.05077815959517949" + "0.05077815959518337" ] }, "execution_count": 10, @@ -394,19 +329,12 @@ { "cell_type": "code", "execution_count": 11, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.067262Z", - "iopub.status.busy": "2021-04-16T19:35:58.066813Z", - "iopub.status.idle": "2021-04-16T19:35:58.069918Z", - "shell.execute_reply": "2021-04-16T19:35:58.069347Z" - } - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "6.075990838368387" + "6.075990838368465" ] }, "execution_count": 11, @@ -443,12 +371,6 @@ "cell_type": "code", "execution_count": 12, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.074465Z", - "iopub.status.busy": "2021-04-16T19:35:58.073171Z", - "iopub.status.idle": "2021-04-16T19:35:58.077599Z", - "shell.execute_reply": "2021-04-16T19:35:58.077998Z" - }, "tags": [ "remove-output" ] @@ -481,14 +403,7 @@ { "cell_type": "code", "execution_count": 13, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.081758Z", - "iopub.status.busy": "2021-04-16T19:35:58.081326Z", - "iopub.status.idle": "2021-04-16T19:35:58.082976Z", - "shell.execute_reply": "2021-04-16T19:35:58.083364Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "xs = biased_uniform.qs\n", @@ -505,19 +420,12 @@ { "cell_type": "code", "execution_count": 14, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.088242Z", - "iopub.status.busy": "2021-04-16T19:35:58.087311Z", - "iopub.status.idle": "2021-04-16T19:35:58.093392Z", - "shell.execute_reply": "2021-04-16T19:35:58.092951Z" - } - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.0039004919277704267" + "0.003900491927770735" ] }, "execution_count": 14, @@ -542,19 +450,12 @@ { "cell_type": "code", "execution_count": 15, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.098055Z", - "iopub.status.busy": "2021-04-16T19:35:58.097522Z", - "iopub.status.idle": "2021-04-16T19:35:58.100321Z", - "shell.execute_reply": "2021-04-16T19:35:58.100683Z" - } - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "2.1425968518013954" + "2.1425968518013625" ] }, "execution_count": 15, @@ -580,19 +481,12 @@ { "cell_type": "code", "execution_count": 16, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.105140Z", - "iopub.status.busy": "2021-04-16T19:35:58.104540Z", - "iopub.status.idle": "2021-04-16T19:35:58.107287Z", - "shell.execute_reply": "2021-04-16T19:35:58.107715Z" - } - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "2.1425968518013954" + "2.1425968518013625" ] }, "execution_count": 16, @@ -609,14 +503,7 @@ { "cell_type": "code", "execution_count": 17, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.112140Z", - "iopub.status.busy": "2021-04-16T19:35:58.111425Z", - "iopub.status.idle": "2021-04-16T19:35:58.114066Z", - "shell.execute_reply": "2021-04-16T19:35:58.113607Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "def prob(o):\n", @@ -626,19 +513,12 @@ { "cell_type": "code", "execution_count": 18, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.118640Z", - "iopub.status.busy": "2021-04-16T19:35:58.117930Z", - "iopub.status.idle": "2021-04-16T19:35:58.121841Z", - "shell.execute_reply": "2021-04-16T19:35:58.121067Z" - } - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.6817918278551125" + "0.6817918278551092" ] }, "execution_count": 18, @@ -670,12 +550,6 @@ "cell_type": "code", "execution_count": 19, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.129005Z", - "iopub.status.busy": "2021-04-16T19:35:58.128299Z", - "iopub.status.idle": "2021-04-16T19:35:58.130682Z", - "shell.execute_reply": "2021-04-16T19:35:58.131027Z" - }, "tags": [ "remove-output" ] @@ -712,12 +586,6 @@ "cell_type": "code", "execution_count": 20, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.135933Z", - "iopub.status.busy": "2021-04-16T19:35:58.135294Z", - "iopub.status.idle": "2021-04-16T19:35:58.138207Z", - "shell.execute_reply": "2021-04-16T19:35:58.137815Z" - }, "tags": [ "remove-output" ] @@ -750,18 +618,11 @@ { "cell_type": "code", "execution_count": 21, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.173569Z", - "iopub.status.busy": "2021-04-16T19:35:58.156145Z", - "iopub.status.idle": "2021-04-16T19:35:58.338847Z", - "shell.execute_reply": "2021-04-16T19:35:58.337549Z" - } - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -792,19 +653,12 @@ { "cell_type": "code", "execution_count": 22, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.343799Z", - "iopub.status.busy": "2021-04-16T19:35:58.343267Z", - "iopub.status.idle": "2021-04-16T19:35:58.345785Z", - "shell.execute_reply": "2021-04-16T19:35:58.346132Z" - } - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "0.006981325464857327" + "0.00698132546485788" ] }, "execution_count": 22, @@ -822,19 +676,12 @@ { "cell_type": "code", "execution_count": 23, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.349999Z", - "iopub.status.busy": "2021-04-16T19:35:58.349509Z", - "iopub.status.idle": "2021-04-16T19:35:58.352346Z", - "shell.execute_reply": "2021-04-16T19:35:58.352665Z" - } - }, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "1.1970766535647344" + "1.1970766535647157" ] }, "execution_count": 23, @@ -852,14 +699,7 @@ { "cell_type": "code", "execution_count": 24, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.356295Z", - "iopub.status.busy": "2021-04-16T19:35:58.355503Z", - "iopub.status.idle": "2021-04-16T19:35:58.357268Z", - "shell.execute_reply": "2021-04-16T19:35:58.357642Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "# Solution\n", @@ -935,12 +775,6 @@ "cell_type": "code", "execution_count": 25, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.362415Z", - "iopub.status.busy": "2021-04-16T19:35:58.361811Z", - "iopub.status.idle": "2021-04-16T19:35:58.364588Z", - "shell.execute_reply": "2021-04-16T19:35:58.364200Z" - }, "tags": [ "remove-output" ] @@ -973,14 +807,7 @@ { "cell_type": "code", "execution_count": 26, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.368917Z", - "iopub.status.busy": "2021-04-16T19:35:58.368277Z", - "iopub.status.idle": "2021-04-16T19:35:58.372099Z", - "shell.execute_reply": "2021-04-16T19:35:58.372588Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "beliefs = [prior.copy() for i in range(4)]" @@ -1001,12 +828,6 @@ "cell_type": "code", "execution_count": 27, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.378500Z", - "iopub.status.busy": "2021-04-16T19:35:58.377897Z", - "iopub.status.idle": "2021-04-16T19:35:58.379963Z", - "shell.execute_reply": "2021-04-16T19:35:58.380451Z" - }, "tags": [ "hide-cell" ] @@ -1042,19 +863,11 @@ { "cell_type": "code", "execution_count": 28, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:58.416688Z", - "iopub.status.busy": "2021-04-16T19:35:58.402941Z", - "iopub.status.idle": "2021-04-16T19:35:59.013473Z", - "shell.execute_reply": "2021-04-16T19:35:59.013020Z" - }, - "scrolled": false - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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ffRWAe++9l6OOOmrMl9PW1jZmzWTJkiVs2rSJRx55hB//+Md873vfG5PXlfZkPNbJN7/5TR577DE2btxId3c33/rWt0b9mjYoVd3cuXO55557AFi1ahXnn39+37T29nZmzZrFSSedxKxZs3jyyScB2LVrF0uWLKG5uZmWlhaWL1/e95zly5czc+ZMmpub2bRpEwArV67ksssuA+Diiy9m8eLFzJo1i2nTpnH77bf3PffGG2/klFNOoaWlhWuvvfZ1Wd/whjdw5plnArD//vszc+ZMurq6xniNSK83nuoE4I1vfCNQ+rb32muvjclxPE8zn6A+vOz28jON0OrPzN/r9PPOO4/rr7+es88+mw0bNrBw4UIeeOABAKZPn866deuoq6vjvvvu45prrmH16tWsWLGCZ555hkceeYS6ujqef/75vtebOnUqDz/8MDfffDM33XQTt9566+uW+eyzz/Lggw+yadMm2tramD9/PmvWrKGzs5P29nZSSrS1tbFu3TrOOOOMIXP//ve/5zvf+Q5XXHHFKNaOxhPrZHh1ctZZZ9He3s7cuXOZP3/v768SNihVXUtLC5s3b2bVqlXMmzdvwLTt27dz0UUX0dnZSUSwc+dOAO677z4WLVpEXV1pkz388MP7nvOhD30IgJNPPpk77rhjyGWee+657Lfffpxwwgk899xzAKxZs4Y1a9Zw0kknAfDSSy/R2dk5ZOH19PRw/vnns3jxYqZNmzbKNSCVNx7r5Ac/+AE7duxgwYIF/OhHP+J973vfqNaBDUo10dbWxpIlS1i7di3btm3rG79s2TLOPPNM7rzzTjZv3szs2bOB0o/89rTL4IADDgBg0qRJ9PT07HWe3tfq/e/SpUv5xCc+UTbvpZdeytve9jauvPLKSt6eNCbGW51A6WoRbW1tfPvb37ZBaWTK7V7I28KFCzn00ENpbm5m7dq1feO3b9/edzB45cqVfePnzJnDLbfcwuzZs/t2XfT/dDgSZ511FsuWLWPBggUcfPDBbNmyhcmTJ3PEEUcMmO/Tn/4027dvH3KXiPZt1klldfLSSy/x4osvcuSRR9LT08N3v/td3vOe94xqueBJEqqRxsbGIY/lXHXVVSxdupTTTjttwGmql1xyCccccwwtLS3MmDGD2267bdQZ5syZwwUXXMCpp55Kc3Mz8+fP58UXXxwwT1dXF5/97Gf5+c9/zsyZM3nnO99po1LVjJc6efnll2lra+tb7hFHHMGiRYtGvezo/RpXLa2trckbsdXGE088wfHHH1/rGPusodZvRKxPKbUO97Wsk9qxTvI1nDqpyjeoiLg0IjoioqO7u7sai5TGHetEGqgqDSqltCKl1JpSam1oeN1t5yVhnUiDeQxqgqn2Lt2JwvW6b/HfMx/DXa82qAmkvr6ebdu2WXxjrPc+N/X19bWOojFgneRjJHXiaeYTSGNjI11dXXh8Y+z13ilU4591kp/h1okNagKZPHmyd3yVyrBOisNdfJKkQrJBSZIKyQYlSSokG5QkqZBsUJKkQrJBSZIKyQYlSSokG5QkqZBsUJKkQrJBSZIKyQYlSSokG5QkqZBsUJKkQrJBSZIKyQYlSSokG5QkqZBsUJKkQqpKg4qISyOiIyI6vI2yNDTrRBqoKg0qpbQipdSaUmptaGioxiKlccc6kQZyF58kqZD22qAiYk2/4aX5x5EkqaTcN6j++xn+PM8gkiT1V65BpaqkkCRpkLoy06dFxN1A9Bvuk1Jqyy2ZJGlCK9egzuk3fFOeQSRJ6m+vDSqldH/vcEQ0ZOP8gYYkKXd7bVAREcDfApdT2s23X0T0AMtTStfnEejDy27P42Wl3Kz+zPyqL9M60Xgzkjopd5LElcDpwCkppSkppcOAdwGnRcRfDXtpkiRVqFyDuhA4P6X0TO+IlNLTwEeyaZIk5aLcSRKTU0pbB49MKXVHxOQ8AtVid4k03lgnmgjKfYN6bYTTJEkalXLfoGZExAuUTpCA3T/cDaA+t1SSpAmv3Gnmk6oVRJKk/sqdZl4PLAKOAzYAX0kp9VQjmCRpYit3DOpfgFbgcWAe8LncE0mSRPljUCeklJoBIuLLQHv+kSRJKv8NamfvgLv2JEnVVOlZfFA6c+/Afmf1pZTSG3NNJ0masDyLT5JUSOV28UmSVBM2KElSIVWlQUXEpRHREREd3d3eTkoainUiDVSVBpVSWpFSak0ptTY0NFRjkdK4Y51IA7mLT5JUSDYoSVIh2aAkSYVkg5IkFZINSpJUSDYoSVIh2aAkSYVkg5IkFZINSpJUSDYoSVIh2aAkSYVkg5IkFZINSpJUSDYoSVIh2aAkSYVkg5IkFZINSpJUSDYoSVIh2aAkSYVkg5IkFZINSpJUSDYoSVIhVaVBRcSlEdERER3d3d3VWKQ07lgn0kBVaVAppRUppdaUUmtDQ0M1FimNO9aJNJC7+CRJhWSDkiQVkg1KklRINihJUiHZoCRJhWSDkiQVkg1KklRINihJUiHZoCRJhWSDkiQVkg1KklRINihJUiFFSqm6C4zoBn5VZrapwNYqxCnHHAOZY6BKcvxRSmnYV361TkbEHAONpxxD1knVG1QlIqIjpdRqDnOYo7jLN4c58s7hLj5JUiHZoCRJhVTUBrWi1gEy5hjIHAPVOketl9/LHAOZY6AR5yjkMShJkor6DUqSNMHZoCRJhVSzBhUR74+IJyPiqYi4eojpERFfyKZviIiZNcqxIFv+hoj4SUTMyCNHJVn6zXdKROyKiPm1yhERsyPi0Yj4WUTcX4scEXFoRHwnIh7LcnwshwxfiYjfRsTGPUzPdTu1ToaXo998udZIpVmsk77pI9tOU0pV/wMmAb8EpgH7A48BJwyaZx7wPSCAdwM/rVGOWcBh2fDcPHJUmqXffD8CvgvMr9E6eRPwc+CY7PERNcpxDfD32XAD8Dyw/xjnOAOYCWzcw/TctlPrpJg1Mox1Yp2Mcjut1TeoPwaeSik9nVJ6DfgGcM6gec4BvpZKHgLeFBFHVjtHSuknKaXfZQ8fAhrHOEPFWTKXA6uB39YwxwXAHSmlXwOklPLIUkmOBBwSEQEcTKnwesYyREppXfa6e5LndmqdDDNHJu8aqTSLdbLbiLbTWjWoo4Df9HvclY0b7jzVyNHfxyl9CshD2SwRcRTwZ8AtOWWoKAfwduCwiFgbEesj4sIa5fgicDzwH8DjwBUppT/kkGVv8txOrZNh5qhSjVSUBeukvxFtp3W5xdm7GGLc4PPdK5mnGjlKM0acSanwTh/jDMPJ8nngb1JKu0ofhmqWow44GfhT4EDg3yPioZTSL6qc4yzgUeBPgLcC90bEAymlF8YwRzl5bqfWyfBzfJ78a6TSLNbJbiPaTmvVoLqAo/s9bqTU3Yc7TzVyEBEtwK3A3JTStjHOMJwsrcA3ssKbCsyLiJ6U0l1VztEFbE0pvQy8HBHrgBnAWBZeJTk+BtyQSju5n4qIZ4DpQPsY5ignz+3UOhl+jmrUSKVZrJPdRradjvVBuwoPqNUBTwPHsvvA3omD5vkAAw+qtdcoxzHAU8CsWq+TQfOvJJ+TJCpZJ8cDP8zmfQOwEXhHDXJ8CbguG34zsAWYmsM6aWLPB39z206tk+HnGDR/LjUyjHVinYxyO81lQ6rwzcyj9Enil8CnsnGLgEXZcAD/lE1/HGitUY5bgd9R+or8KNBRq3UyaN48i69sDuCvKZ2htBG4skb/Nm8B1mTbx0bgIzlkWAU8C+yk9Cnw49XcTq2TYtZIpVmsk9Ftp17qSJJUSF5JQpJUSDYoSVIh2aAkSYVkg5IkFZINSpJUSDaoIWRXQX40IjZGxLci4g3DeO7FEfHFYS7vpT2Mvz4i3psNr42I1mz4uxHxpuzvL4ezrDI5bsyudnzjMJ/XGhFfGMVy+96nxg/rxDrJm6eZDyEiXkopHZwN/yuwPqX0D/2mT0op7drDcy+mdI7/ZSNZ3l7mWQssSSl19BvXBPxbSukdlS6rzDJeABpSSv85Fq+nfZt1Yp3kzW9Q5T0AHJfd1+X/RMRtwOMRUR8RX42IxyPikewaZL2OjojvZ/doubZ3ZETclV008mcRcWn/hUTE5yLi4Yj4YUQ0ZONWxhD3s4mIzRExFbgBeGv2KfbGiPh6RJzTb75/jYi2Qc+NbN6NWfa/yMbfDRwE/LR3XL/nPJ59Co2I2NZ70ctsee/N1s2/ZeOui9K9YdZGxNMRsTgb3xQRT0TEP2fvf01EHDj4fWbv7e+ydfF4REzPxjdExL3Z+P8ZEb/K1oGKwTqxTsZeXr+yHs9/wEvZf+uAbwOfBGYDLwPHZtP+B/DVbHg68GugHriY0i+qp1C6QORGsl9NA4dn/+0dPyV7nIAF2fDfAl/MhleS/RIeWNvvdTZTus5YE/0uLQL8F+CubPhQ4BmgbtB7+zBwL6X7yLw5y31k//c9xPq4hdKlSt4B/F/gn7PxnZQu3z+b0idUgOuAnwAHZBm3AZOzrD3AO7P5vkn2i/ZB73MzcHk2/JfArdnwF4Gl2fD7s3U25pdr8c86sU6K8+c3qKEdGBGPAh2UNswvZ+PbU0rPZMOnA18HSCltAn5F6fL6APemlLallF4F7mD3lZ0XR8RjlO6XczTwtmz8H4D/nQ3/L0Z4JeiU0v2UPsUeAZwPrE4pDb7vy+nAqpTSrpTSc8D9wCllXvoBSjckO4PSdb2ao3Rbg+dTSkMdF7gnpfSfKaWtlO7J8+Zs/DMppUez4fWUinEodwwxz+mU7nVDSun7lC6ro9qyTgayTsZYra5mXnSvppTe2X9ElK6O/HL/UXt5/uADeykiZgPvBU5NKb0SpX3l9RU+fzi+DiwAzgMWDjF9JPcgWAf8d0oXBP0UpfvtzKdUkEPpv29+F7u3s8HjDyzz/P7PzfXeCRoR62Qg62SM+Q1q5NZR2sCJiLdT2iifzKa9LyIOz/Ydnwv8mNKuhN9lRTed0hV9e+1HaUOG0l04H6www4vAIYPGrQSuBEgp/Ww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\n", 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" ] @@ -1081,14 +894,7 @@ { "cell_type": "code", "execution_count": 29, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.016676Z", - "iopub.status.busy": "2021-04-16T19:35:59.016156Z", - "iopub.status.idle": "2021-04-16T19:35:59.017869Z", - "shell.execute_reply": "2021-04-16T19:35:59.018210Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "likelihood = {\n", @@ -1100,14 +906,7 @@ { "cell_type": "code", "execution_count": 30, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.022657Z", - "iopub.status.busy": "2021-04-16T19:35:59.022046Z", - "iopub.status.idle": "2021-04-16T19:35:59.024564Z", - "shell.execute_reply": "2021-04-16T19:35:59.024066Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "def update(pmf, data):\n", @@ -1134,12 +933,6 @@ "cell_type": "code", "execution_count": 31, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.028218Z", - "iopub.status.busy": "2021-04-16T19:35:59.027687Z", - "iopub.status.idle": "2021-04-16T19:35:59.030098Z", - "shell.execute_reply": "2021-04-16T19:35:59.029565Z" - }, "tags": [ "remove-cell" ] @@ -1152,14 +945,7 @@ { "cell_type": "code", "execution_count": 32, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.042870Z", - "iopub.status.busy": "2021-04-16T19:35:59.042257Z", - "iopub.status.idle": "2021-04-16T19:35:59.044114Z", - "shell.execute_reply": "2021-04-16T19:35:59.044493Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "bandit = prior.copy()\n", @@ -1179,12 +965,6 @@ "cell_type": "code", "execution_count": 33, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.067179Z", - "iopub.status.busy": "2021-04-16T19:35:59.058633Z", - "iopub.status.idle": "2021-04-16T19:35:59.174296Z", - "shell.execute_reply": "2021-04-16T19:35:59.173745Z" - }, "scrolled": true, "tags": [ "hide-input" @@ -1193,7 +973,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1228,14 +1008,7 @@ { "cell_type": "code", "execution_count": 34, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.177407Z", - "iopub.status.busy": "2021-04-16T19:35:59.176903Z", - "iopub.status.idle": "2021-04-16T19:35:59.180228Z", - "shell.execute_reply": "2021-04-16T19:35:59.179776Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "actual_probs = [0.10, 0.20, 0.30, 0.40]" @@ -1253,14 +1026,7 @@ { "cell_type": "code", "execution_count": 35, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.184112Z", - "iopub.status.busy": "2021-04-16T19:35:59.183689Z", - "iopub.status.idle": "2021-04-16T19:35:59.186969Z", - "shell.execute_reply": "2021-04-16T19:35:59.186469Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "from collections import Counter\n", @@ -1295,14 +1061,7 @@ { "cell_type": "code", "execution_count": 36, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.214098Z", - "iopub.status.busy": "2021-04-16T19:35:59.213601Z", - "iopub.status.idle": "2021-04-16T19:35:59.215958Z", - "shell.execute_reply": "2021-04-16T19:35:59.215585Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "for i in range(4):\n", @@ -1323,18 +1082,11 @@ { "cell_type": "code", "execution_count": 37, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.228398Z", - "iopub.status.busy": "2021-04-16T19:35:59.227960Z", - "iopub.status.idle": "2021-04-16T19:35:59.826737Z", - "shell.execute_reply": "2021-04-16T19:35:59.827463Z" - } - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -1360,12 +1112,6 @@ "cell_type": "code", "execution_count": 38, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.834767Z", - "iopub.status.busy": "2021-04-16T19:35:59.833729Z", - "iopub.status.idle": "2021-04-16T19:35:59.838437Z", - "shell.execute_reply": "2021-04-16T19:35:59.838980Z" - }, "tags": [ "hide-cell" ] @@ -1398,12 +1144,6 @@ "cell_type": "code", "execution_count": 39, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.866461Z", - "iopub.status.busy": "2021-04-16T19:35:59.865346Z", - "iopub.status.idle": "2021-04-16T19:35:59.891615Z", - "shell.execute_reply": "2021-04-16T19:35:59.891015Z" - }, "tags": [ "hide-input" ] @@ -1519,14 +1259,7 @@ { "cell_type": "code", "execution_count": 40, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.897634Z", - "iopub.status.busy": "2021-04-16T19:35:59.896107Z", - "iopub.status.idle": "2021-04-16T19:35:59.904029Z", - "shell.execute_reply": "2021-04-16T19:35:59.903164Z" - } - }, + "metadata": {}, "outputs": [ { "data": { @@ -1555,14 +1288,7 @@ { "cell_type": "code", "execution_count": 41, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.909255Z", - "iopub.status.busy": "2021-04-16T19:35:59.908170Z", - "iopub.status.idle": "2021-04-16T19:35:59.916958Z", - "shell.execute_reply": "2021-04-16T19:35:59.916095Z" - } - }, + "metadata": {}, "outputs": [ { "data": { @@ -1590,14 +1316,7 @@ { "cell_type": "code", "execution_count": 42, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.926458Z", - "iopub.status.busy": "2021-04-16T19:35:59.925706Z", - "iopub.status.idle": "2021-04-16T19:35:59.932359Z", - "shell.execute_reply": "2021-04-16T19:35:59.931702Z" - } - }, + "metadata": {}, "outputs": [ { "data": { @@ -1672,14 +1391,7 @@ { "cell_type": "code", "execution_count": 43, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.938638Z", - "iopub.status.busy": "2021-04-16T19:35:59.936984Z", - "iopub.status.idle": "2021-04-16T19:35:59.941814Z", - "shell.execute_reply": "2021-04-16T19:35:59.942478Z" - } - }, + "metadata": {}, "outputs": [ { "data": { @@ -1710,14 +1422,7 @@ { "cell_type": "code", "execution_count": 44, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.949635Z", - "iopub.status.busy": "2021-04-16T19:35:59.948833Z", - "iopub.status.idle": "2021-04-16T19:35:59.950888Z", - "shell.execute_reply": "2021-04-16T19:35:59.950296Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "def choose(beliefs):\n", @@ -1743,14 +1448,7 @@ { "cell_type": "code", "execution_count": 45, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.958607Z", - "iopub.status.busy": "2021-04-16T19:35:59.957868Z", - "iopub.status.idle": "2021-04-16T19:35:59.960724Z", - "shell.execute_reply": "2021-04-16T19:35:59.959178Z" - } - }, + "metadata": {}, "outputs": [ { "data": { @@ -1779,14 +1477,7 @@ { "cell_type": "code", "execution_count": 46, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.965882Z", - "iopub.status.busy": "2021-04-16T19:35:59.965161Z", - "iopub.status.idle": "2021-04-16T19:35:59.971103Z", - "shell.execute_reply": "2021-04-16T19:35:59.970557Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "def choose_play_update(beliefs):\n", @@ -1812,14 +1503,7 @@ { "cell_type": "code", "execution_count": 47, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.976029Z", - "iopub.status.busy": "2021-04-16T19:35:59.975106Z", - "iopub.status.idle": "2021-04-16T19:35:59.978061Z", - "shell.execute_reply": "2021-04-16T19:35:59.978970Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "beliefs = [prior.copy() for i in range(4)]\n", @@ -1836,18 +1520,11 @@ { "cell_type": "code", "execution_count": 48, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:35:59.982092Z", - "iopub.status.busy": "2021-04-16T19:35:59.981421Z", - "iopub.status.idle": "2021-04-16T19:36:00.969027Z", - "shell.execute_reply": "2021-04-16T19:36:00.969685Z" - } - }, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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OIQLEOsVRfpY9CWq+pbt51dFG6QwVRYaaUOtWy/b3R3oSpdSDwIMAOTk5Qxw9fJkTkrhibhab9tQC8NLGA6y+fWHAzyNEtDlYZ0lQIe4g0W9CcjyzsiZysO4MfVqz9cBJn1UNxNg16B2U1vqd/h9gL7D3gsf8orV+WmtdrrUuz8jIGPoFI7BySb65vWHncRrOtQflPEJEi+a2LrMcxbic5E4eb1ss1kUMK/adsC0OEVpD9eJTSqlvKqUagf3AAaVUg1LqX0MTnv8uy0mjMM9Ifn19fbzy3gGbIxIislnn35sxNRWX075RKZcXeAflbz1wku4et22xiNAZ6hv3FeAqYKHWeqLWegJwBXClUuorQY9umD569WXm9puVR2hukxmQhRip6jBof+o3LSOZKWnjAOjq6WWnrAMXFYZKUJ8C7tJam7Oxaq0PA3cD9wQzsJEoy59kDtzt7nHzyka5ixJipKrDoP2pn1KKy+dMNfc3762zMRoRKkMlqBitdeOFD2qtG4CY4IQ0ckopVi2bY+7/bdMhuYsSYgTsmsF8MJcXeBNU5f56+vrCfhSMGKWhEtRg/TnDsq/n4rlZ5EwyGnO7enp5+V25ixJiuOoavTOYJyfGkZmaaHNERjvz+KR4AFrauth39KJrZzHGDJWgSpVSLUqpVs9PS/8+UByKAIdLKcU/LC8w91/ddJAzLR02RiRE5LG2P83ODt0M5oNRSnFFofcu6v09Us031g3VzdyptU7RWid7flIs+2FXxddvUWGWzySyf1y3z96AhIgw4TCDxEAWz802tzftrZO5N8e4obqZxyulvqyU+rFS6kGl1FADe8OCUoq7ry8y99dWHqFOJpkUYc5TxiqVUpUNDQ22xrLfcgd12bQ0GyPxNTcvneTEOADOtnbIGlFj3FBVfL8GyoFdwArgB0GPKEDK8icxt39clNb87s3dNkckxOBCMaDdH53dvRzzTBemUCGfwXwwTqeDRYXeMVHve2aPEWPTUAmqUGt9t9b6Z8Aq4OoQxBQQSik+daO3mWzT3jp2ydgJIYZUXXsG7ZknetqkFHO1gHCxeK43Qb23u056841hQyWonv4NrXVvkGMJuPzsiT5zdv3ybzvkyyzEEA6EafVev6LpGaQkeav59kpvvjHL3158/T33Siy9+lqGeG1YuPuGYmJjjAXPjp1q5o0PDtsckRDhzTrF0eww6iDRz+l0sMTSWWL9jmM2RiOCyd9efP0991yW7ZRQBTkaaSkJfGypd/Dub9/czdnWThsjEiJ8aa19evCFY4ICuLpkmrn9/p5aenplbr6xyL7ZH0PotqtmMzUtGYCOrh5+9doOmyMSIjzVN52nxTP7SlJ8LFnpyTZHNLDLctLI8Awebu/sYauspD0mRUWCinE5+cxHysz9jbuOy9LRQgzAOjvDnJy0sBigOxClFEtLvO3LUs03NkVFggIomZnp02HiqZe20iYrcwrhw9rhYE5u+HWQsFo6z1ueK6rqZd7NMShqEhTAfStKfXr//PffpKpPCKuqo94OEoW56TZGMrTsjBRme3oZ9vX1yV3UGBRVCSo5MY4HLVV972w/ysbdMtBPCICzrZ2cPHMeAJfTycwwGqB7KR+an2duv721RqY+GmOiKkGBMZfX1SXWqr4tNDbL8vBCWKv3Zk+bSIzLaWM0/llSlO0zjMS6RIiIfFGXoAA+c8s8nx5A//H8ZnrdfTZHJYS9qiwJqiAnvNuf+iXGx7CkyDsm6vWKQzZGIwItKhNUUkIsX1p1OQ5PD6X9x5r4zZpdNkclhL321Fg7SIR3+5PVTZfPNLff3VlrdpMXkS8qExRAQW46d10319x/5b1q3t153MaIhLBPc1sXR0+eA8DhcFCYFzkJKj97otle1ut289bWGnsDEgETtQkK4KNXX0b5ZVPM/R//uZJDUoctopB1IuXZ2ROJj42IlXVM1ruoNyoO4ZYq+zEhJAkqnNa5sVJKsfr2heYsEz29bv7tt+/RcE46TYjosvOQN0EVz8y0MZKRuap4GuMSYgFoONcuq+2OESFJUOGyzs1AkhJi+erdS8wlBc62dvDdZ9+VQbwiquyyJKjSCExQsTFObrrCexf15w37pcv5GBDVVXz9stKTeeSuxTidxsdxvKGF7/5mI53dEbfCiBDDdvLMeU6fawMgLsZFfnZ4ThA7lA8vmmV2ja85eY4dh2T9t0gnCcqjeEYmX/xoubm//1gT3/vte3T3yCzJYmyzVu8V5qXjckbmfwspSXFct2C6uf/Hv++Tu6gIF5nfxCC5ujSH+1bMM/d3HT7N//3NRrrkTkqMYVssEyeXzppkYySjt/LKfLMmpOpYI9uqT9kckRgNSVAX+PDiWT7dz3cdPs13pE1KjFFd3b0+VWHWXq2RKHNCks9d1O/W7pa7qAgmCWoAq5YV+CSpfUcb+cZ/v8OZlg4boxIi8HYcOm0u9pedkcKUtHE2RzR6q5bNMduijtSfY+MumW8zUkmCuoRVywr4x5tKzP1jp5r530+9zeETMk5KjB0fVJ0wtxfOiey7p34TUxJYYenR9+wbO6XDU4SSBDWIlVfOZvXtC3E4jI/pTGsHX//FOjbItP5iDNBa+yzcuXDOVBujCazbl80xl9ZpaungT+9U2RyRGAlJUENYNi+Xb3zqSnOcVHePm/98oYKnX9kmPfxERNtb02jOW5eSFBex3csHkpQQy6duKDb3/7LxAEdPNdsYkRgJSVB+KJ01iX97cLk54wQY06k88tTbHD0pX3oRmdZtP2puLyrMwuEIz+XdR2p5Wa6ZdN3uPn70wgeyakGEkQTlp+yMFP79oWtZVJhlPnb8dDP/8tRbPP/3vfLFFxGlq7uX9yyLdS4vy7UxmuBQSvFPHy3H5fQO3v3jun02RyWGQxLUMCTGx/DwnYt48CNlZi8ht7uPP7y9l3/+8Zs+E24KEc4q9p0wOw5MTUseU9V7VtMyU/iEpUfui+uq2HrgpI0RieGQBDVMSiluvHwm3//8h5g9zbuoW11jK9/61Xq+99v3qG1osTFCIYb29rYac3tZWQ5Kja3qPauPLMmnaLoxv6BG88M/buZEY6vNUQl/SIIaoeyMFL77wDV8+uZSn6UJPqg6wZd/9CZP/OkDKQQiLNXUnzOnN1IolpWOveo9K4dD8c8fv4K0lATAWEX727/eIOMaI4AkqFFwOBS3LMnnR1+6kaWlOebjGs26bUdZ/V9r+P7vN3HgeJONUQrh608b9pvbi+ZmkZGaaGM0oTE+KY5/uWuxWTXfcK6dbz8jSSrcSYIKgLSUBL606nL+/4c+ROlM71xmGs37e2p59Om/8y8/fYs3PzhMe2ePjZGKaFffdJ73LDMrfGzpZTZGE1r52RP5lzsXmeMajze08I1frKO+6bzNkYlLkQQVQDOzJvCv917Nd+5fRln+ZJ/nDp84y1Mvb+W+f/8rP/jDZjbtrZNxVCLkfvvmbjTG3HSlMycxY+oEmyMKrQWXTeFLty/E4WlzO3W2jUeeestnwLIIH5G1rnOEKMzLoDAvg5r6c7zyfjXv7qyl120ko55eN+/tPs57u48TG+Nk3sxJlM2ezLxZk8ickGRz5GIsq9h3gvf3eO+eVl0zx8Zo7HNVyTTiYp384A+b6el1097Zw7/9ZiM3LJzB3dcXkeRZmVfYT4V6pt/y8nJdWVkZ0nParbW9i3Xbj/H21hqODTKafdKEJArzMijITSN/WhrZ6cljbvBktFFKbdFalw99pK9Al5Pmti4e/slazrQabS7XlOXyxY8tDNj7R6IDx5v4/u830WRph0pJimPVsgJuWDjdbK8SwXepciIJKsSOnmxm467jvL+njhNNg/fyi4txkTdlPHmTU8nJTCErI5ms9GQmJMeP6W7BY0k4JKi2jm7+9ZfrqTl5DjD+E/7R6htITowLyPtHspa2Lp78yxafSXPB+IyuXzCdpfNyyM5IsSm66CEJKgzVNbay9cBJtlefZE9No7nswVDiYlxMmphEZmoiGalJpI1PIC0lgQnJ8YwfF8/4pDiSE2Ll7isM2J2gjtSf40cvfmDeuSsU//uTi8fUxLCjpbXm/T11/OpvO8w7TKvsjBTmzZpEQV46s7ImkJaSIBeIASYJKsz1uvs4WHuGvUcbOXD8DAfrznJ2gMLiL4UiMT6G5MRYkhJiSIqPITEuhvg4F4lxMcTFOImLdREX4yTW5SQuxkmMy4nL5SDG6SDG5cTpULicDvNfh9OBQ4HT4cDhUDiUQilwKIXDoVBK0Z8T+xuhlecYa4FWcFEBt+5GUuFXYK7gOuDzQUhQA02r1dencff10dHVy7nznRw92czmfSfYsr+ePksZ/6ePlnPt/LzhhhMVunvcvPHBYV7ZeMCn2u9CifExTEkbR2ZqEunjE0gdF+8pZ7EkxLpIiHMRF+Myy5LT6TDKzwVl5cJy0L8ZSd9/f/X/3pdyqXIinSTChMvpYE5uOnNy083HzrR0cKT+HMdOt3DsVDMnGs9zoqnVr67qGk1bZzdtnbIScDCVzMzkm/cuDek57//3v3J+mCs8x7icfOaWeZKcBhEb4+QjS/JZccVMPthfz4Ydx9hy4ORFNRvtnT0cqjvLoTpZG85fN18xiwdumTfs14UkQSmlHgQeBMjJyRniaNFvYkoCE1MSWGBZhltrTWt7N6fPtnHqXDtNze00NXdwprWTs60dNJ/vormtSxJTBApWOSmekcmDHyljanry0AcLnE4HiwqzWFSYRWd3L3trGtlzpIHq2jMcrj9HR5eMZQyVkCQorfXTwNNgVF2E4pxjlVKKlKQ4UpLimDXIBJ9udx/nO3tobe+ivbOHts4e2rt66ezqoaOrl86eXrq63XT19NLd00dXTy89vX30uo2fnt4+etxu+vo0ve4+3H3arEbq69P0ae3516he0hj7AH1ao7WRTPtrl/rH3lhrlC98biAhroEeNqcjcEMJ/S0nDocyB5uajymFwwGJcTGMS4glKz2Z6VNTubIoWxLTKMTHupg/ezLzZxvjGrXWnGnt5GTTeRrOtXPGc1F4vrObto4e2jt76Opx09XdS4/bW576y09/udH0lxHjPNYyEO7f+ZEYaa2lVPGNUU6ng/FJcYxPkp5aY82vvvoRu0OIWkop0lISzHn9RHDJTBJCCCHCkiQoIYQQYSnk3cyVUg3A0SEOSwcaQxDOUCQOXxKHL3/iyNVaZwz3jaWcjIjE4SuS4hiwnIQ8QflDKVU5krEjEofEEU1x2H1+iUPiCHYcUsUnhBAiLEmCEkIIEZbCNUE9bXcAHhKHL4nDl91x2H3+fhKHL4nD14jjCMs2KCGEECJc76CEEEJEOUlQQgghwpJtCUopdZNSar9S6qBS6qsDPB+nlPqD5/nNSqk8G2P5Z6XUXqXUTqXUW0qpXDvisBx3u1JKK6WC0oXUnziUUv/g+Uz2KKV+Z0ccSqkcpdTflVLbPH+bFUGI4ZdKqdNKqd2XeF4ppX7kiXGnUmp+gM8fFuUkXMqIP7FYjpNyQoSXE2NCz9D+AE7gEDADiAV2AIUXHPN54CnP9p3AH2yMZTmQ6Nn+XDBi8ScOz3HJwHpgE1Bu0+eRD2wDJnj2M22K42ngc57tQqAmCHEsBeYDuy/x/ArgNYyloRYBm0P8GQS9nIRLGfE3Fs9xUk68x0RsObHrDupy4KDW+rDWuhv4PXDrBcfcCvzas/0C8CEVnJW8hoxFa/13rXW7Z3cTkG1HHB7fAf4d6AxCDP7G8RngJ1rrswBa69M2xaGB/vW4xwMnCDCt9XrgzCCH3Ao8qw2bgFSl1JRBjh+OcCkn4VJG/IrFQ8qJV8SWE7sSVBZw3LJf63lswGO01r1AM5BmUyxW92NcCYQ8Ds9t8TSt9atBOL/fcQCzgdlKqY1KqU1KqZtsiuNbwN1KqVrgb8AXgxDHUIb7/Qn0e4einIRLGfErFiknY6ecyHIbw6CUuhsoB5bZcG4H8B/AvaE+9wBcGNUX12BcKa9XShVrrc+FOI67gGe01j9QSi0G/kcpVaS1vnhNdBESdpYRz/mlnFwsYsuJXXdQdcA0y36257EBj1FKuTBuTZtsigWl1HXA14GVWusuG+JIBoqAdUqpGox63JeD0ADsz+dRC7yste7RWh8BDmAUxFDHcT/wPIDW+n0gHmNiylDy6/sTxPcORTkJlzLiTyxSTsZSOQl0Y5mfDWou4DAwHW/D3twLjvknfBt/n7cxljKMhsh8Oz+TC45fR3Aaf/35PG4Cfu3ZTse4dU+zIY7XgHs92wUYdesqCJ9JHpdu/P0wvo2/FSH+DIJeTsKljPgbywXHSzmJ4HIStC+SH7/MCowrikPA1z2PfRvj6guMLP9H4CBQAcywMZa1wClgu+fnZTviuODYoBQ8Pz8PhVGNshfYBdxpUxyFwEZPodwO3BCEGJ4D6oEejCvi+4GHgIcsn8VPPDHuCvTfJFzKSbiUEX9iueBYKScRXE5kqiMhhBBhSWaSEEIIEZYkQQkhhAhLkqCEEEKEJUlQQgghwpIkKCGEEGFJEpQQQoiwJAlKCCFEWJIEJYQQIixJghJCCBGWJEEJIYQIS5KghBBChKWQrweVnp6u8/LyQn1aIWyxZcuWRq11xnBfJ+VERJNLlZOQJ6i8vDwqKytDfVohbKGUOjqS10k5EdHkUuVEqviEEEKEJVnyPUC01rxZeYT399QyY8oElhRlMzNrgt1hCRGVqo428tf3D9LW2U1GahLLSnOYO33YNa3CZpKgAqCjq4cf/6mSTXuNFYx3HjrNX97dzz03lnDrVbNtjk6I6NHT6+bJv2xh/Y5jPo+/teUIq5YV8PFrC3E4lE3RieGSBBUAT/5lq5mcrP7njV3MmJpK8YxMG6K6WE9PD7W1tXR2dtodypgTHx9PdnY2MTExdocStbTWPP3KtouSU78X3tnHufOdfO62BYO+j5ST4BluOZEENUoHjjfx3u7j5v6HFkzn6MlmDtadQaP54fMV/PCL1zM+Kc7GKA21tbUkJyeTl5eHUnIVGShaa5qamqitrWX69Ol2hxO1Xq84zNtba8z9RXOzWVaaw2ubD7Lz0GkA1m45QumsSSwpyr7k+0g5CY6RlBPpJDEKWmt+/fouc3/x3Gw+f9sC/vcnFpPiSUjNbZ28+l61XSH66OzsJC0tTQpdgCmlSEtLkytuGzU2t/PMazvN/aWlOTz88Su4vGAqj91zNUuKppnPPfXSVppaOi75XlJOgmMk5UQS1Chsqz5F1bFGAJxOB5+8vgiAiSkJPHBLmXnc6xWH6ezutSXGC0mhCw75XO31+7f20ut2A5A7OZXP3brA/Js4HIqHVpaRkZoIQFtnN79/a8+g7yd/z+AY7ucqCWoUrNUJN5TPYEraOHN/cWEWkyca+22d3T7HCiEC5+ipZtZt8w6j+fTNJcTGOH2OSUqI5fO3lZv767Ydpb7pfMhiFCMjCWqEOrp6qNxfb+7fcPkMn+cdDsUtS/LN/b++V43WOmTxhSulFHfffbe539vbS0ZGBrfccsuI3i8vL4/GxsaLHn/55Zf53ve+N+I4+7W3t/PhD3+YOXPmMHfuXL761a+O+j1FYP3x7/vQGGWrLH/yJTsllczMpGi68Vyf1rzwzr6QxThckVZOAG666SZKS0uZO3cuDz30EG7PHe1oSIIaoYp9J+jpNf4AOZPGk5OZctExy8tySYqPBeDU2TaqjjWFNMZwlJSUxO7du+noMNoA3nzzTbKysgJ+npUrVwYsmTz88MNUVVWxbds2Nm7cyGuvvRaQ9xWjd6alg82WHrT91eyX8vFrC8zt9duPcfpsW9BiG41ILCfPP/88O3bsYPfu3TQ0NPDHP/5x1O8pCWqENuz09ty7umTagMfEx7p8egu9t7s26HFFghUrVvDqq68C8Nxzz3HXXXeZz1VUVLB48WLKyspYsmQJ+/fvB8DtdvPwww9TVFRESUkJTzzxhPmaJ554gvnz51NcXExVVRUAzzzzDF/4whcAuPfee1m9ejVLlixhxowZvPDCC+ZrH3/8cRYuXEhJSQnf/OY3L4o1MTGR5cuXAxAbG8v8+fOprZW/Y7h4s/IIfZ6aicK8DKZPSR30+MK8DJ+7qLWVR4Id4ohFUjkBSEkxLtJ7e3vp7u4OSDuedDMfgdb2LnYcPGXuX1U8cIICuLI4mzcrDwPw/p46Pn1zaVgMFLz9sReGPmiEXvzOqkGfv/POO/n2t7/NLbfcws6dO7nvvvvYsGEDAHPmzGHDhg24XC7Wrl3L1772NV588UWefvppampq2L59Oy6XizNnzpjvl56eztatW3nyySf5/ve/zy9+8YuLzllfX8+7775LVVUVK1euZNWqVaxZs4bq6moqKirQWrNy5UrWr1/P0qVLB4z73LlzvPLKK3zpS18axacjAsXt7vNJMDdeUM1+KTddMYPdR4xu529vO8o/XFuIyznwtbqUk+GVkxtvvJGKigpuvvlmVq0a/Pfzh9xBjcDOww3mVVt+9kQyJyRd8tjC3HSzy/nZ1g72Hb24HjjalJSUUFNTw3PPPceKFSt8nmtubuaOO+6gqKiIr3zlK+zZY/S2Wrt2LZ/97GdxuYxrqokTJ5qv+djHPgbAggULqKmpGfCct912Gw6Hg8LCQk6dMi4u1qxZw5o1aygrK2P+/PlUVVVRXT3wkIDe3l7uuusuVq9ezYwZ/v1HKIKrcn89Z1qNKrDxSfEsKvSvCmzhnKmkjosHjDJpbUsOJ5FYTt544w3q6+vp6uri7bffHtXvD5KgRsR691Q6a9KgxzqdDhbP9VbzbZRqPsCo+3744Yd9qi0AHnvsMZYvX87u3bt55ZVX/BozERdnXAA4nU56ewfuzt9/DGB2VtFa8+ijj7J9+3a2b9/OwYMHuf/++wd8/YMPPkh+fj5f/vKX/fn1RkQp9aBSqlIpVdnQ0BC084wV1mr2Dy3Iu+Rd0IVcTgcfmp9n7odzNV+klRMwZou49dZbeemll4aMaShSxTdMWmt2HvImqHlDJCiAJUXZvFFxCIDKqhN85pZ5to+zGKp6Idjuu+8+UlNTKS4uZt26debjzc3NZmPwM888Yz5+/fXX87Of/Yzly5ebVRfWq8ORuPHGG3nsscf45Cc/ybhx46irqyMmJobMTN9eYN/4xjdobm4esEokkLTWTwNPA5SXl0uXz0F0dvf63PlcXZozrNdfVz6dP63fj0azvfoU5853mndVVlJO/Csn58+fp7W1lSlTptDb28urr77K1VdfParzgtxBDdvJM200nGsHIC7GRX720H/8gpw0EuONuaeaWjqobWgNaoyRIDs7m9WrV1/0+COPPMKjjz5KWVmZz1XeAw88QE5ODiUlJZSWlvK73/1u1DHccMMNfOITn2Dx4sUUFxezatUqWlt9/za1tbV897vfZe/evcyfP5958+YFPVGJoVVW1Zu9aKdlDtyLdjCZE5KYk5sGgEazac/Fc2mGg0gpJ21tbaxcuZKSkhLmzZtHZmYmDz300KjPrUI9Nqe8vFxH8kJsaz44zM9e3grAgtlT+NqnrvTrdY8/9745oew/3lTCyitDP8v5vn37KCgoGPpAMSIDfb5KqS1a6/JLvOSSIr2cBNv3fvseH1SdAODOD83ljmuG/71+ffMhfv7XbQAU5Kbz/z1wDSDlJNiGU07kDmqYdngmnQQonun/LOXWqsBt1ScDGpMQ0aS9s4etljJ05SATvw5m0dwsFEZV+76jjTQ2twckPhE4kqCGQWvN3hpv43XJcBJU/mRze29NE11hMjefEJFm28FTuN19AORNTmVqevKI3id1XDzFM72LGMo4xfAjCWoYTp5po6WtC4DE+Jhh1XtnpCaSneEZyOZ2s6fGnu7mMt1ScMjnGjqVnqo9gIUFU0f1XldaZjnfvNf7vvL3DI7hfq6SoIbhwHHvVEWXTRv+dPzWaj5rV/VQiY+Pp6mpSQpfgPWvcxMff3EvMBFYfX2arQe81XvlsycPcvTQFhZMNav59h9rormtS8pJkIyknEg382HYf9w7Knv2tOF33Syemclf3zcGuO0+EvpxLtnZ2dTW1iJjbAKvf6VQEVwHjjdxvqMbgAnJCczMmjCq9xufFMfsnInsP9aERrN1fz1XFUs5CZbhlhNJUMOw/5jvHdRwFeSkoVBoNEdPNnO+o5txCbGBDHFQMTExsuKriGjWsU8LZk8OyHjChXOmmmW7Yt8Jls/Pk3ISJqSKz0+d3b0cPdkMgEL5Nf7pQkkJsczISgWMsRd7bWqHEiJSVe63VO/NmRKQ97zc0o61/dApuntGv0yECAxJUH6qrj1jrjkzbVKKOfB2uIryvL2G9thQzSdEpGpq6eD4aeMi0el0XHLdp+HKSk9maprRE7C7x83Ow6eHeIUIFUlQftp/fHTVe/2KLIXKjnYoISLVTkvHosLcdOJjA9dCYb0b23ZAximGC0lQfjpUe9bcHkkHiX4FuWk4PPXmR08209reNerYhIgG24YxSfNwzbf0Btx64KT04AsTkqD8dOiEN0HNnDrynkMJcTHM8Lxeo2WVXSH8YEzS7K16KwtwgirITScuxrgjO32ujRNN5wP6/mJkJEH5obmti6YWY92ZGJeT7IyRjVzvV5iXbm7vk44SQgzp8IlzZm3D+KR4ciePD+j7u5wOSi0zw2yVar6wIAnKD4fqvHdPeZPH4/Rz3ZlLKcj1Jqi9soChEEPa7lO9lxmU5WrKfKr5wnMRw2gTkgQV6QuxWav3ZmWNbm0VMNqh+h2uPyfz8gkxhF2WnnX+rME2EtZ2qD01jVIuw0BIEpTW+mmtdbnWujwjI2PoF4QZ6x3UzKmpo36/5MQ4c14+t7uPasv7CyF8dfe4fdpqiwLUvfxC6eMTmWYpl3bNlym8pIrPD4ctd1AzRtFBwsqnmq8m8u4qhQiV/cebzMUJp6Ylk5aSELRzzcv33p1tPyjtUHaTBDWEc+c7A9pBop+1mq/qqPTkE+JSdo1wDbaRKPWZ0FkG7NpNEtQQDp84Z24HooNEP+sdVNWxJnN9GxG9Ir2tNlisMzsUzwhuE8HcvAxcTicAtQ0tsoihzSRBDeFwfeCr98BYH6q/qqKrp5djp1sC9t4iMkV6W20wtHV0c9AzSF6hKJoe3M8lNsZJYZ63dsOOZXGElySoIdTUN5vbM6akBux9lVJclmNth5IGWSEutM+zDAZA7uTxJCfGBf2c82Z5e/Ntq5YEZSdJUEM4Un/O3M4L8OBAazvUPhkPJcRFrO1PJUFuf+pn7ca+6/Bp+vpk2iO7SIIaREdXDyfPGFOeOJQiZ1KgE5RvO5TM/yWEL+uEynODXL3XL2dSCqnjjFVfz3d0+/TiFaElCWoQNSe91XtZGSnExjgD+v45mSnmjMxnWztoOCcNskL0a23vMtdgcyhFoeWCLpiUUj53a9sPSTWfXSRBDcLag2/6lMDePYGxpo116Q6p5hPCa09No9n+NGPqhBGvwTYS86S7eViQBDWImpPnzO1A9uCzmuPTDiXjoYToZ13QM9jdyy9kXQxx//EmOmXaI1tIghrEhWOggsGnHUruoIQwWTtIhKr9qd/ElASzzdnt7pPFRW0yaIJSSq2xbD8a/HDCR6+7j+MN3rFJ0wPYxdwqP3siDofxZzje0CILGAqBscRNf/lzOBw+F3KhYq3m2yntULYY6g7KetlyRzADCTe1p1vM2R0yUhMZlxAblPPEx7p8xlfJAoZC+Pbey8+eENDl3f1lnfZou4yHssVQCSpq+z1bxz9Nn5wa1HPJAoZC+Nptnd5oemjGP12oMDfdnPaorrFVetnaYKgENUMp9bJS6hXLtvkTigDtYu1inhek6r1+c3IsHSXkDkoIdh/23kEVhbiDRL8Lpz2Sar7QG+q++VbL9veDGUi4OWy9gwp2grLUrx86cZbuHnfAx1wJESnOtHRwoqkVAJfT6TMUI9TmzZrMTk9njW3Vp/jQgum2xRKNBk1QWut3+reVUhmex8Z8dxattU8X82AnqPFJcWSlJ1PX2Irb3ceB2jNBnxRTiHBlbX+6bNpEWy/W5s2axLNvGNs7DxnTHjkcgV9uXgxsqF58Sin1TaVUI7AfOKCUalBK/WtowrPH6XPttHf2ADAuIZb08cFbIK2fLGAohMG6vLtd1Xv9cialMCHZKP9tnd0crDtjazzRZqg2qK8AVwELtdYTtdYTgCuAK5VSXwl6dDbxnSA2FaWCf8VkvWPac0Q6SojopLX2SVDFQVre3V9KKUpneWPYKr35QmqoBPUp4C6t9ZH+B7TWh4G7gXuCGZidfHrwBWGKo4EUWhKUdYlrIaLJyTNtZm+5uBgX+dkTbY4IyvK9y29sr5Zl4ENpqAQVo7W+6HLe0w4VuomxQqwmhB0k+qWlJDB54jgAenrdHKyTGZRF9LHePc2dno4rQCtYj0bpzEwURi3KwdqztLTJYPpQGeqv3z3C5yKadYqjYM3BNxDreKg90g4lotDOQ+FTvdcvOTGO/GnGnZxG+8QogmuoBFWqlGpRSrV6flr694HiUAQYaufOd3KmtQOAGJeTrPTkkJ3btx1KEpSILlprnx58JWGSoADK8r2zSmw5UG9jJNFl0ASltXZqrVO01smenxTL/pis4vNdYiM1pF1KC/O8CarqWBO9nqmWRHRQSj2olKpUSlU2NETfBcrRk83mXJQpSXHkBmmC5pGYb22HOnhKVtkNkaG6mccrpb6slPqxp/CEfkKsEDtc7237mRnC6j0w5vybNCEJgO4eN/tlVomoorV+WmtdrrUuz8iIvnFwOyxVZ0XTM0PSe9ZfM7MmMD7JWGW3pa1LupuHyFBVfL8GyoFdwArgB0GPyGaH686Z2zOmpob8/CUzLTMoH5a6bhE9th/09pCbNyt8qvfA6G6+4DLvXVRllVTzhcJQCapQa3231vpnwCrg6hDEZCvrHdSMEPXgsyq2LDW9SxKUiBJd3b3srfHWGFhnEg8XCy6bYm5/sF8SVCgMlaB6+je01mN+ScnW9i5zDIbL6SQ7MyXkMRRbOkpUHz9jzmghxFi2p6aRXrcx9i87I4X08Yk2R3SxebMm4fR0ez92qllmNw8Bf3vx9ffcK7H06msZ4rURx9pBIndyii1jMFKS4sjzLO/Rp7V0NxdRYcdB7wwN88Lw7gmMtdusF5Bb5C4q6Pztxdffc89l2Q797UWQVVsaPmdMCW0HCatSSzWfjLkQ0WC7JUGFY/Vev/I5U83tzfvqbIwkOtg/TDuMHKz1tj/NnmbfFCslspKniCKnz7ZR61ne3eV0Mjcv9Mu7+2vhHG871O4jjWa3eBEckqA8tNYcOO69g5pl4xxghbnp5hIDJ5paqW86b1ssQgTb1gPe3nvFMzKIs2F5d3+lj09kVpbxf0NfXx9b9svcfMEUkgQVCQMQG5s7aG7rBIy65uwQziBxodgYp88oemsBFmKsqbS05Vh7yoWrKwq91Xyb9ko1XzCFJEFFwgDEA7WWu6esibYvSjZ/tnfMhTTGirGqs7uXXZbl3RdYvvfh6orCLHN7+8FTdHaP+Q7OtpEqPo+DlgRlZ/tTv/mzLXXdNQ1SCMSYtPPQabN7+bTM8WR6ZlIJZ1npyUzLNKZh6ul1y6DdIJIE5eHT/pRlXw++fhmpiWYhcLv7pDefGJOs1Xvll4X/3VO/JUXeu6h3dx23MZKxTRIURgI4dMLbgy8cFkkD3wIrXVrFWNPXp/mg6oS5Xx4B7U/9riqeZm5vrT7J+Y4xu/qQrSRBYayg27+CbVpKAhNTEmyOyLDIUtddse+EzG4uxpS9RxvNxf9Sx8Uze1qazRH5b2p6MjM9NS1udx+b9sgFZDBIgsKYZqWfdckLu83MmmBO+dLe2SNz84kxxfqf+hWFWbZ3TBquq0tyzO0NO6WaLxgkQQH7jnoTVDgNElRK+dxFyVWaGCu01j5dtBfPzRrk6PB0ZVG2uRT8niMNnD7bZnNEY0/UJyitNXutd1DTw+cOCnwL7uZ9J3BLNZ8YA/Yfa+KsZ+Xq5MQ4CnPD58LQXxNTEij1LAui0by97ajNEY09UZ+gjp1qoa3TaOAcnxTP1LRxNkfk67KcNCYkG21ire1dPou6CRGprFViVxRMNWcJjzQfWjDd3P771hpZaTfAIvNbEUDW2cIL89LDahVPMKr5ri7x9hh6e2uNfcEIEQC97j6frtlXWb7fkebygqkkJ8YB0Njczo5DMndmIEmC8ukgEZ7VDNfMyzW3P6iqly6tIqJV7vd+h9PHJ1IUZtXqw+FyOlhW6u0ssabisI3RjD1RnaDc7j52WarM5oZRDz6r3MnjmTHV6NLa63azUQYGjkmRMGdlILxjaatZVpoTdrUWw3Vdubea74Oqek6ekcmdAyWqE1R17Rmz/WlicgI5k8J3iavlZd67qLe21qC11HWPNZEwZ+VoNbd1saXaO/nxMsv3OlJNy0wxF1nUaF7bdMjmiMaOqE5Q1lnC58+eHNZXcleXTMPlNJbgOFR31mdqJiEixdrKI2ZP1PzsiWTZuGpAIN2yJN/cXrvlCO2dPTZGM3ZEdYLackGCCmfJiXEsLfU2Jr/yXrWN0QgxfG53H29UeO8ubrp8po3RBNa8WZPIzjBqYDq7e3m9Qu6iAiFqE1RTSwc1J88B4HQ6KLEssx6ublnsvUrbvLeOxuZ2G6MRYngqqk7Q1GKMfUpJiuPK4mybIwocpRQrr/SWz5fePSB3UQEQtQlqq2UW5cLcdBLiYmyMxj+5k8dTNN1IpH1a8/LGAzZHJIT//mZpm7l+wXRiXE4bowm8ZfNyyUw1lgs539HN3zYftDmiyBe1CerdXbXmdiSs4tnvI5artDcqjshdlIgIe440sNcz5tChFDdcPsPmiALP5XRwx/ICc/+ldw+Yk+GKkYnKBNXY3M6eI0ZhUSiuLIqcqoYFsyczK8tYDqTX7eaFdVU2RyTE0J7/+z5z+5qyXHMS5LFmWWkOkycas9G0d/bwu7V7bI4oskVlgtqw8zgao5t28cyMsFlewx9KKT5x3Vxz/62tNRw/3WJjREIMbs+RBnYfMcYbOhwObl82x+aIgsfpdPCPN5WY+2srj3DYstacGJ6oTFDrdxwzt5eVRt44jJKZmeag4r6+Pp5+ZZuMixJhqa9P86vXdpj718zz3mGMVQvnTKEs3+gVrNH89KWtspbbCEVdgjpwvIljp5oBiHE5uaJwqs0RDZ9Sivs/PA+Hw/jz7a1pkDn6RFha88FhjtSfA4zydsc1BYO/YAxQSvHpFaXmBLiHT5zl+bf32hxVZIq6BPWn9fvN7SVF2RHRe28guZPHc6ulw8Qv/7aDusZWGyMSwteZlg5+u3a3uX/7sjlkTkiyMaLQyUpP5pPXFZn7f1q/XxYcHYGoSlDHTrfwQdUJc/+2qy+zMZrRu+OaArO6pLO7l8ef20Rnd6/NUQlhVO395x8rzLFAkyeO49YrZ9scVWitvDLfHBai0Tz+3Ca5iBymqEpQL77j7Um0cM5UcjLDd+49f8TFunj4zkXmeJLjp5v5wR82SX23sN0f3t5rLmWjUHzutgXExoytcU9DUUqxetVCcz23ts5uvvvsuzI0ZBiiJkHtOHiKdy2LpH1saWTfPfWbPiWVBz9SZu5vPXCSH/x+E909bhujEtHsjYpDvGC5GLxjeUFEL6kxGmkpCXz1E4vNi8hTZ9v4xi/WUd8kM577IyoSVEdXDz99aYu5v6gwi9nT0myMKLCunZ/H7Uu9XXcrqk7w2H+/Y04rI0SovL75ED9/Zbu5XzIzMyo6RgxmVvZE/tfHrzA7TTSca+eRp97yaW4QAxvzCarX3ccPn6+g4ZxxWz0uIZYHbikb4lWR567r5vrU8R+sO8NXnniTNz84LF3QRdB1dvfy1Etb+flft5ljDGdlTeSRuxbjcITvKgGhsnDOVL76iSXmnVR7Zw/f++17/OjFDzjb2mlzdOFrTCeoto5ufvD7TWw54J13774VpUxIjrcxquBQSvGpG4u5b8U8HJ5lQ9o6u3nq5a186UdreEuWABBB0Ovu453tR1n9X2/wZqV3NdkZUyfwjXuujNhessEwf/ZkvnP/MtIsEwO8s/0on//ha/zir9tlwP0AVKivrsvLy3VlZWVQz9HR1cN7u2v5/Vt7OdPqreb62NI5fPL6okFeOTbsOdLAT/5cyamzbT6Px7iclMzIpGhGBjOnTiB38njGJcTaFGV0UEpt0VqXD/d1oSgnI9XW0U113Vm2Hqjnvd11nG31rUq+snga/3TbAuJiXTZFGN5a27t46qWtbNpbd9Fz0zLHM29WJgW56UyfkkpGamJYr1MXKJcqJ2GVoN7fU8u580NPrqi1RmtjRu++Pk2P201HZy9nz3dS19BKzclmet2+nQRWXjmbe24sjoo/NkB3j5sX11fx6vsH6ei69J1TYnwMaSmJpI6LY1xCLAlxLuJjXcTFOHE6HbicDpwOhUMplFI4HIr+T9D6WfZvRsvn2y8tJYHLCy492DsYCWpt5RF6AtBTs7/s9/8XoLVROdfXp+l199Hj7qOnx01Hdy8tbV00t3Vx6sz5S7ZtpiTFcc8NxVxTlht134OR2H7wFM++sYujnmV/BuJyOslITSB1XDzjk+JIiIshIc4ony6XE5dT4XQ4cHjKJoDCKIcX/gns/JvkZKYwd5COMpcqJ2F1ifPyxmoOHG8K6HumJMXxwC1lLJmbFVWFJjbGyV0fmsvKJfms3VLDOzuODVgQ2jt7aO9s5riMIRyRkpmZgyaoYPifNbs439Ed0nMOJnVcPDdePoMVi2bJHfkwzJs1idKZmew8dJo1lUfYsr+enl7fC+tet5v6pvMR3+vv5itmDZqgLiUkCUop9SDwIEBOTk4oTknOpPEsL8vl2vl5UV1okhJiufWq2dx61Wzqm86z6/Bpqo41UXOymRONrRcVCGEfO8rJSDgcDnIyU5iTk8bCgqkUTc/A5RzTzdlBo5SidNYkSmdNoqOrhz01jew50sDhE+c4eqqZ1vboXq4jrKr4Xnr3wEXtJpeiAIen6ikuxklsrJMJ4+JJH5/I9CmppCTFBTDqsUlrTXNbF2dbOzl3vpO2zh7aO3vo6nHT3eOmx91Hn7sPd582q1M1GutXRmtLVZFNv4edstKT+fDiWZd8PhhVfM++vpPOAI1zs1bXKmVU1fZXGblcDmJdThLiXCQnxJKSFEdGaiKZE5IkIYVIe2cPjS0dNJ/vpKW9m/aObjp73HT19NLT24fbUz61Nspof9ns6/MtjXaXzbnTMwZd1igiqvhuvSq6pkKxm1KK1HHxpI4be70ax7J7LMs5iLEtMT6GnPgYiPBZb0ZKLoOEEEKEJUlQQgghwlLI26CUUg3A0SEOSwcaQxDOUCQOXxKHL3/iyNVaD7v7kpSTEZE4fEVSHAOWk5AnKH8opSpH0rAscUgc0RSH3eeXOCSOYMchVXxCCCHCkiQoIYQQYSlcE9TTdgfgIXH4kjh82R2H3efvJ3H4kjh8jTiOsGyDEkIIIcL1DkoIIUSUkwQlhBAiLNmWoJRSNyml9iulDiqlvjrA83FKqT94nt+slMqzMZZ/VkrtVUrtVEq9pZTKtSMOy3G3K6W0UiooXUj9iUMp9Q+ez2SPUup3dsShlMpRSv1dKbXN87dZEYQYfqmUOq2U2n2J55VS6keeGHcqpeYH+PxhUU7CpYz4E4vlOCknRHg5MdZWCu0P4AQOATOAWGAHUHjBMZ8HnvJs3wn8wcZYlgOJnu3PBSMWf+LwHJcMrAc2AeU2fR75wDZggmc/06Y4ngY+59kuBGqCEMdSYD6w+xLPrwBew5h3dRGwOcSfQdDLSbiUEX9j8Rwn5cR7TMSWE7vuoC4HDmqtD2utu4HfA7decMytwK892y8AH1IqKAs6DRmL1vrvWut2z+4m4NLT8gYxDo/vAP8OdAYhBn/j+AzwE631WQCtdTBWk/InDg30z6I5HjgR6CC01uuBM4MccivwrDZsAlKVUlMCdPpwKSfhUkb8isVDyolXxJYTuxJUFnDcsl/reWzAY7TWvUAzkGZTLFb3Y1wJhDwOz23xNK31q0E4v99xALOB2UqpjUqpTUqpm2yK41vA3UqpWuBvwBeDEMdQhvv9CfR7h6KchEsZ8SsWKSdjp5yE1XIb4U4pdTdQDiyz4dwO4D+Ae0N97gG4MKovrsG4Ul6vlCrWWp8LcRx3Ac9orX+glFoM/I9SqkhrPfr10MWI2FlGPOeXcnKxiC0ndt1B1QHTLPvZnscGPEYp5cK4NQ3sevD+x4JS6jrg68BKrXUwlrkcKo5koAhYp5SqwajHfTkIDcD+fB61wMta6x6t9RHgAEZBDHUc9wPPA2it3wfiMSamDCW/vj9BfO9QlJNwKSP+xCLlZCyVk0A3lvnZoOYCDgPT8Tbszb3gmH/Ct/H3eRtjKcNoiMy38zO54Ph1BKfx15/P4ybg157tdIxb9zQb4ngNuNezXYBRt66C8JnkcenG3w/j2/hbEeLPIOjlJFzKiL+xXHC8lJMILidB+yL58cuswLiiOAR83fPYtzGuvsDI8n8EDgIVwAwbY1kLnAK2e35etiOOC44NSsHz8/NQGNUoe4FdwJ02xVEIbPQUyu3ADUGI4TmgHujBuCK+H3gIeMjyWfzEE+OuQP9NwqWchEsZ8SeWC46VchLB5USmOhJCCBGWZCYJIYQQYUkSlBBCiLAkCUoIIURYkgQlhBAiLEmCEkIIEZYkQQ1AKeVWSm1XSu1WSv1RKZU4jNfeq5T68TDPd/4Sj3/bM/gRpdS6/sGGSqm/KaVSPT+fH865hojjcc+sy48P83XlSqkfjeK85u8pIoeUEyknwSbdzAeglDqvtR7n2f4tsEVr/R+W513amPdsoNfei9HH/wsjOd8gx6wDHtZaV1oeywP+qrUu8vdcQ5yjGZiotXYH4v3E2CblRMpJsMkd1NA2ALOUUtcopTYopV4G9iql4pVSv1JK7fKss7Lc8pppniu5aqXUN/sfVEr9RSm1xXP19aD1JEqpH3oef0spleF57Bml1KoLA1JK1Sil0oHvATM9V7GPK6WeVUrdZjnut0qpWy94rfIcu9sT+8c9j78MjAO29D9mec0uz1WoUko1KaXu8Tz+rFLqes9n81fPY99Sxtow65RSh5VSqz2P5yml9imlfu75PdcopRIu/D09v9v/UUpt9Zx3jufxDKXUm57X/kIpddTzGYjwIOVEykngBWu0dyT/AOc9/7qAlzDWt7kGaAOme577X8AvPdtzgGMYo/rvxRhRnQYkALvxjJrGuOrC8niaZ18Dn/Rs/yvwY8/2M8Aqz/Y6y/vUYEydkodlahGMCTr/4tkeDxwBXBf8brcDb2KsIzPJE/cU6+89wOfxFMZUJUXAB8DPPY9XA0mez+avnse+BbwHxHlibAJiPLH2AvM8xz0P3D3A71kDfNGz/XngF57tHwOPerZv8nxm6XZ/V6L5R8qJlJNg/8gd1MASlFLbgUqML+Z/ex6v0MakjwBXAb8B0FpXAUcxptcHeFNr3aS17gD+5DkWYLVSagfGejnT8E4c2Qf8wbP9G8vxw6K1fgfI91xZ3gW8qC+uYrkKeE5r7dZanwLeARYO8dYbMBYkWwr8FChWSmUBZ7XWbQMc/6rWuktr3QicxijgAEe01ts921swCuNA/jTAMVdhrHWD1vp14OwQMYvgk3LiS8pJgMlyGwPr0FrPsz6gjDXgBvqSDeTChj2tlLoGuA5YrLVuV0Zdebyfrx+OZ4G7MSYO/fQo3sdqPcakpDkYs1V/FFiFUSAHYp3J2o33e3bh4wlDvN76WhF+pJz4knISYHIHNXIbgE8CKKVmY3wp93ueu14pNdFTd3wbxkSN4zGupNo99cWLLO/lwPgiA3wCeNfPGFoxlhewegb4MoDWeu8l4v64UsrpuYJcijHJ6CVprY9jVEPka60Pe+J7GKNAhspG4B8AlFI3ABNCeG4xclJOpJyMmCSokXsScCildmFUO9yrvWvgVAAvAjsxqg8qgdcBl1JqH0aj7SbLe7UBlyuldgPXYsxEPCStdROw0dOQ+7jnsVPAPuBXl3jZnz1x7QDeBh7RWp/043SbMWZMBqPwZuH/fxCB8H+AGzyf0R3ASYz/eER4k3Ii5WTEpJv5GKOMsSi7gPla62a74wkUpVQc4NZa9ypjVdCfXli9JIS/pJxEhjFZbxmtlDGI77+BH46lQueRAzyvjCW9u4HP2ByPiFBSTiKH3EEJIYQIS9IGJYQQIixJghJCCBGWJEEJIYQIS5KghBBChCVJUEIIIcLS/wNPB0+2HVf//QAAAABJRU5ErkJggg==\n", 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" ] @@ -1878,12 +1555,6 @@ "cell_type": "code", "execution_count": 49, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:00.997808Z", - "iopub.status.busy": "2021-04-16T19:36:00.997037Z", - "iopub.status.idle": "2021-04-16T19:36:01.000101Z", - "shell.execute_reply": "2021-04-16T19:36:01.000816Z" - }, "tags": [ "hide-input" ] @@ -1975,12 +1646,6 @@ "cell_type": "code", "execution_count": 50, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:01.007207Z", - "iopub.status.busy": "2021-04-16T19:36:01.006002Z", - "iopub.status.idle": "2021-04-16T19:36:01.012730Z", - "shell.execute_reply": "2021-04-16T19:36:01.011748Z" - }, "tags": [ "hide-cell" ] @@ -2006,12 +1671,6 @@ "cell_type": "code", "execution_count": 51, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:01.028250Z", - "iopub.status.busy": "2021-04-16T19:36:01.026782Z", - "iopub.status.idle": "2021-04-16T19:36:01.031917Z", - "shell.execute_reply": "2021-04-16T19:36:01.029480Z" - }, "tags": [ "hide-input" ] @@ -2160,12 +1819,6 @@ "cell_type": "code", "execution_count": 52, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:01.036525Z", - "iopub.status.busy": "2021-04-16T19:36:01.035610Z", - "iopub.status.idle": "2021-04-16T19:36:01.043010Z", - "shell.execute_reply": "2021-04-16T19:36:01.042192Z" - }, "tags": [ "hide-cell" ] @@ -2174,9 +1827,9 @@ "source": [ "def prob_correct(ability, difficulty):\n", " \"\"\"Probability of a correct response.\"\"\"\n", - " a = 100\n", + " a = 1 / 100\n", " c = 0.25\n", - " x = (ability - difficulty) / a\n", + " x = (ability - difficulty) * a\n", " p = c + (1-c) / (1 + np.exp(-x))\n", " return p" ] @@ -2198,12 +1851,6 @@ "cell_type": "code", "execution_count": 53, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:01.051026Z", - "iopub.status.busy": "2021-04-16T19:36:01.049832Z", - "iopub.status.idle": "2021-04-16T19:36:01.055461Z", - "shell.execute_reply": "2021-04-16T19:36:01.054373Z" - }, "tags": [ "hide-cell" ] @@ -2219,12 +1866,6 @@ "cell_type": "code", "execution_count": 54, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:01.065949Z", - "iopub.status.busy": "2021-04-16T19:36:01.064663Z", - "iopub.status.idle": "2021-04-16T19:36:01.256592Z", - "shell.execute_reply": "2021-04-16T19:36:01.257891Z" - }, "tags": [ "hide-input", "hide-cell" @@ -2233,7 +1874,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -2289,12 +1930,6 @@ "cell_type": "code", "execution_count": 55, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:01.265718Z", - "iopub.status.busy": "2021-04-16T19:36:01.264868Z", - "iopub.status.idle": "2021-04-16T19:36:01.267337Z", - "shell.execute_reply": "2021-04-16T19:36:01.268087Z" - }, "tags": [ "hide-cell" ] @@ -2324,12 +1959,6 @@ "cell_type": "code", "execution_count": 56, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:01.276639Z", - "iopub.status.busy": "2021-04-16T19:36:01.275174Z", - "iopub.status.idle": "2021-04-16T19:36:01.278834Z", - "shell.execute_reply": "2021-04-16T19:36:01.279603Z" - }, "tags": [ "hide-cell" ] @@ -2368,12 +1997,6 @@ "cell_type": "code", "execution_count": 57, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:01.282857Z", - "iopub.status.busy": "2021-04-16T19:36:01.282096Z", - "iopub.status.idle": "2021-04-16T19:36:01.286226Z", - "shell.execute_reply": "2021-04-16T19:36:01.287063Z" - }, "tags": [ "remove-cell", "hide-cell" @@ -2388,12 +2011,6 @@ "cell_type": "code", "execution_count": 58, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:01.291285Z", - "iopub.status.busy": "2021-04-16T19:36:01.290391Z", - "iopub.status.idle": "2021-04-16T19:36:01.298808Z", - "shell.execute_reply": "2021-04-16T19:36:01.299584Z" - }, "tags": [ "hide-cell" ] @@ -2453,12 +2070,6 @@ "cell_type": "code", "execution_count": 59, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:01.306918Z", - "iopub.status.busy": "2021-04-16T19:36:01.306067Z", - "iopub.status.idle": "2021-04-16T19:36:01.319073Z", - "shell.execute_reply": "2021-04-16T19:36:01.318203Z" - }, "tags": [ "remove-output", "hide-cell" @@ -2504,12 +2115,6 @@ "cell_type": "code", "execution_count": 60, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:01.327517Z", - "iopub.status.busy": "2021-04-16T19:36:01.326687Z", - "iopub.status.idle": "2021-04-16T19:36:01.602546Z", - "shell.execute_reply": "2021-04-16T19:36:01.602989Z" - }, "tags": [ "hide-input", "hide-cell" @@ -2518,7 +2123,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -2555,12 +2160,6 @@ "cell_type": "code", "execution_count": 61, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:01.607271Z", - "iopub.status.busy": "2021-04-16T19:36:01.606844Z", - "iopub.status.idle": "2021-04-16T19:36:01.608679Z", - "shell.execute_reply": "2021-04-16T19:36:01.609044Z" - }, "tags": [ "hide-cell" ] @@ -2599,12 +2198,6 @@ "cell_type": "code", "execution_count": 62, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:01.654214Z", - "iopub.status.busy": "2021-04-16T19:36:01.653478Z", - "iopub.status.idle": "2021-04-16T19:36:01.656020Z", - "shell.execute_reply": "2021-04-16T19:36:01.655560Z" - }, "tags": [ "hide-cell" ] @@ -2633,12 +2226,6 @@ "cell_type": "code", "execution_count": 63, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:01.678509Z", - "iopub.status.busy": "2021-04-16T19:36:01.663304Z", - "iopub.status.idle": "2021-04-16T19:36:01.832256Z", - "shell.execute_reply": "2021-04-16T19:36:01.832886Z" - }, "tags": [ "hide-cell" ] @@ -2646,7 +2233,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -2680,12 +2267,6 @@ "cell_type": "code", "execution_count": 64, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:01.838050Z", - "iopub.status.busy": "2021-04-16T19:36:01.837246Z", - "iopub.status.idle": "2021-04-16T19:36:01.840157Z", - "shell.execute_reply": "2021-04-16T19:36:01.840790Z" - }, "tags": [ "hide-cell" ] @@ -2735,12 +2316,6 @@ "cell_type": "code", "execution_count": 65, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:01.844976Z", - "iopub.status.busy": "2021-04-16T19:36:01.844147Z", - "iopub.status.idle": "2021-04-16T19:36:01.846868Z", - "shell.execute_reply": "2021-04-16T19:36:01.846106Z" - }, "tags": [ "hide-cell" ] @@ -2771,12 +2346,6 @@ "cell_type": "code", "execution_count": 66, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:01.855382Z", - "iopub.status.busy": "2021-04-16T19:36:01.854536Z", - "iopub.status.idle": "2021-04-16T19:36:01.859080Z", - "shell.execute_reply": "2021-04-16T19:36:01.859755Z" - }, "tags": [ "hide-cell" ] @@ -2815,12 +2384,6 @@ "cell_type": "code", "execution_count": 67, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:02.065735Z", - "iopub.status.busy": "2021-04-16T19:36:01.972864Z", - "iopub.status.idle": "2021-04-16T19:36:02.073027Z", - "shell.execute_reply": "2021-04-16T19:36:02.073660Z" - }, "tags": [ "hide-cell" ] @@ -2845,12 +2408,6 @@ "cell_type": "code", "execution_count": 68, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:02.078607Z", - "iopub.status.busy": "2021-04-16T19:36:02.077821Z", - "iopub.status.idle": "2021-04-16T19:36:02.080643Z", - "shell.execute_reply": "2021-04-16T19:36:02.081214Z" - }, "tags": [ "hide-cell" ] @@ -2886,12 +2443,6 @@ "cell_type": "code", "execution_count": 69, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:02.102082Z", - "iopub.status.busy": "2021-04-16T19:36:02.100560Z", - "iopub.status.idle": "2021-04-16T19:36:02.262629Z", - "shell.execute_reply": "2021-04-16T19:36:02.262216Z" - }, "tags": [ "hide-cell" ] @@ -2899,7 +2450,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -2948,12 +2499,6 @@ "cell_type": "code", "execution_count": 70, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:02.267364Z", - "iopub.status.busy": "2021-04-16T19:36:02.266590Z", - "iopub.status.idle": "2021-04-16T19:36:02.270685Z", - "shell.execute_reply": "2021-04-16T19:36:02.271080Z" - }, "tags": [ "hide-cell" ] @@ -2962,7 +2507,7 @@ { "data": { "text/plain": [ - "(618.6942050450824, 40.08554296596485)" + "(618.6942050450823, 40.08554296596485)" ] }, "execution_count": 70, @@ -2989,12 +2534,6 @@ "cell_type": "code", "execution_count": 71, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:02.629755Z", - "iopub.status.busy": "2021-04-16T19:36:02.453372Z", - "iopub.status.idle": "2021-04-16T19:36:11.198947Z", - "shell.execute_reply": "2021-04-16T19:36:11.198539Z" - }, "tags": [ "hide-cell" ] @@ -3027,12 +2566,6 @@ "cell_type": "code", "execution_count": 72, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:11.221079Z", - "iopub.status.busy": "2021-04-16T19:36:11.215993Z", - "iopub.status.idle": "2021-04-16T19:36:11.368244Z", - "shell.execute_reply": "2021-04-16T19:36:11.367858Z" - }, "tags": [ "hide-input", "hide-cell" @@ -3041,7 +2574,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -3097,12 +2630,6 @@ "cell_type": "code", "execution_count": 73, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:11.372059Z", - "iopub.status.busy": "2021-04-16T19:36:11.371637Z", - "iopub.status.idle": "2021-04-16T19:36:11.374597Z", - "shell.execute_reply": "2021-04-16T19:36:11.374249Z" - }, "tags": [ "hide-cell" ] @@ -3142,12 +2669,6 @@ "cell_type": "code", "execution_count": 74, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:11.466656Z", - "iopub.status.busy": "2021-04-16T19:36:11.457736Z", - "iopub.status.idle": "2021-04-16T19:36:25.733528Z", - "shell.execute_reply": "2021-04-16T19:36:25.733071Z" - }, "tags": [ "hide-cell" ] @@ -3161,12 +2682,6 @@ "cell_type": "code", "execution_count": 75, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:25.831461Z", - "iopub.status.busy": "2021-04-16T19:36:25.740146Z", - "iopub.status.idle": "2021-04-16T19:36:40.662218Z", - "shell.execute_reply": "2021-04-16T19:36:40.661661Z" - }, "tags": [ "hide-cell" ] @@ -3180,12 +2695,6 @@ "cell_type": "code", "execution_count": 76, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:40.901415Z", - "iopub.status.busy": "2021-04-16T19:36:40.815282Z", - "iopub.status.idle": "2021-04-16T19:36:55.401985Z", - "shell.execute_reply": "2021-04-16T19:36:55.401400Z" - }, "tags": [ "hide-cell" ] @@ -3199,12 +2708,6 @@ "cell_type": "code", "execution_count": 77, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:36:55.608897Z", - "iopub.status.busy": "2021-04-16T19:36:55.579517Z", - "iopub.status.idle": "2021-04-16T19:37:09.906444Z", - "shell.execute_reply": "2021-04-16T19:37:09.905877Z" - }, "tags": [ "hide-cell" ] @@ -3229,12 +2732,6 @@ "cell_type": "code", "execution_count": 78, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:37:09.914937Z", - "iopub.status.busy": "2021-04-16T19:37:09.914449Z", - "iopub.status.idle": "2021-04-16T19:37:09.916439Z", - "shell.execute_reply": "2021-04-16T19:37:09.916075Z" - }, "tags": [ "hide-cell" ] @@ -3253,12 +2750,6 @@ "cell_type": "code", "execution_count": 79, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:37:09.950414Z", - "iopub.status.busy": "2021-04-16T19:37:09.932705Z", - "iopub.status.idle": "2021-04-16T19:37:10.124621Z", - "shell.execute_reply": "2021-04-16T19:37:10.124994Z" - }, "tags": [ "hide-cell" ] @@ -3266,7 +2757,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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" ] @@ -3309,12 +2800,6 @@ "cell_type": "code", "execution_count": 80, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:37:10.128844Z", - "iopub.status.busy": "2021-04-16T19:37:10.128345Z", - "iopub.status.idle": "2021-04-16T19:37:10.130952Z", - "shell.execute_reply": "2021-04-16T19:37:10.130569Z" - }, "tags": [ "hide-cell" ] @@ -3350,12 +2835,6 @@ "cell_type": "code", "execution_count": 81, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:37:10.134774Z", - "iopub.status.busy": "2021-04-16T19:37:10.134201Z", - "iopub.status.idle": "2021-04-16T19:37:10.136839Z", - "shell.execute_reply": "2021-04-16T19:37:10.137320Z" - }, "tags": [ "hide-cell" ] @@ -3364,7 +2843,7 @@ { "data": { "text/plain": [ - "0.95" + "0.97" ] }, "execution_count": 81, @@ -3391,12 +2870,6 @@ "cell_type": "code", "execution_count": 82, "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:37:10.141908Z", - "iopub.status.busy": "2021-04-16T19:37:10.141293Z", - "iopub.status.idle": "2021-04-16T19:37:10.144428Z", - "shell.execute_reply": "2021-04-16T19:37:10.143952Z" - }, "tags": [ "hide-cell" ] @@ -3405,7 +2878,7 @@ { "data": { "text/plain": [ - "0.85" + "0.82" ] }, "execution_count": 82, @@ -3453,14 +2926,7 @@ { "cell_type": "code", "execution_count": 83, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:37:10.149351Z", - "iopub.status.busy": "2021-04-16T19:37:10.148492Z", - "iopub.status.idle": "2021-04-16T19:37:10.150584Z", - "shell.execute_reply": "2021-04-16T19:37:10.151025Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "# Solution\n", @@ -3492,14 +2958,7 @@ { "cell_type": "code", "execution_count": 84, - "metadata": { - "execution": { - "iopub.execute_input": "2021-04-16T19:37:10.154839Z", - "iopub.status.busy": "2021-04-16T19:37:10.154301Z", - "iopub.status.idle": "2021-04-16T19:37:10.157011Z", - "shell.execute_reply": "2021-04-16T19:37:10.156470Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "# Solution\n", @@ -3536,7 +2995,7 @@ "metadata": { "celltoolbar": "Tags", "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -3550,7 +3009,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.8" + "version": "3.8.5" } }, "nbformat": 4,