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qpwo/Casino Game.ipynb

Created June 29, 2018 00:19
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100 runs of the casino game where you double or half your money on a coin flip
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Casino Game.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from random import random\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def step(x):\n",
" \" Flip a coin. If it's heads, you lose half your money. If it's tails, you double. \"\n",
" return x*2 if random() > 0.5 else x/2"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"num_players = 100\n",
"num_rounds = 100\n",
"runs = [[None]*num_rounds for _ in range(num_players)]\n",
"for i in range(num_players):\n",
" x = random() # starting funds\n",
" for j in range(num_rounds):\n",
" runs[i][j] = x\n",
" x = step(x)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>0</th>\n",
" <th>1</th>\n",
" <th>2</th>\n",
" <th>3</th>\n",
" <th>4</th>\n",
" <th>5</th>\n",
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" <th>91</th>\n",
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" <th>94</th>\n",
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" <th>96</th>\n",
" <th>97</th>\n",
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" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.203390</td>\n",
" <td>0.101695</td>\n",
" <td>0.203390</td>\n",
" <td>0.101695</td>\n",
" <td>0.203390</td>\n",
" <td>0.101695</td>\n",
" <td>0.203390</td>\n",
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" <td>3.972451e-04</td>\n",
" <td>7.944903e-04</td>\n",
" <td>1.588981e-03</td>\n",
" <td>3.177961e-03</td>\n",
" <td>6.355922e-03</td>\n",
" <td>3.177961e-03</td>\n",
" <td>6.355922e-03</td>\n",
" <td>1.271184e-02</td>\n",
" <td>6.355922e-03</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.790724</td>\n",
" <td>0.395362</td>\n",
" <td>0.790724</td>\n",
" <td>1.581448</td>\n",
" <td>0.790724</td>\n",
" <td>1.581448</td>\n",
" <td>0.790724</td>\n",
" <td>0.395362</td>\n",
" <td>0.197681</td>\n",
" <td>0.098840</td>\n",
" <td>...</td>\n",
" <td>4.942025e-02</td>\n",
" <td>9.884049e-02</td>\n",
" <td>4.942025e-02</td>\n",
" <td>2.471012e-02</td>\n",
" <td>1.235506e-02</td>\n",
" <td>2.471012e-02</td>\n",
" <td>1.235506e-02</td>\n",
" <td>6.177531e-03</td>\n",
" <td>3.088765e-03</td>\n",
" <td>1.544383e-03</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.465419</td>\n",
" <td>0.232709</td>\n",
" <td>0.116355</td>\n",
" <td>0.232709</td>\n",
" <td>0.465419</td>\n",
" <td>0.232709</td>\n",
" <td>0.465419</td>\n",
" <td>0.930838</td>\n",
" <td>1.861675</td>\n",
" <td>3.723350</td>\n",
" <td>...</td>\n",
" <td>1.191472e+02</td>\n",
" <td>5.957360e+01</td>\n",
" <td>2.978680e+01</td>\n",
" <td>1.489340e+01</td>\n",
" <td>7.446700e+00</td>\n",
" <td>3.723350e+00</td>\n",
" <td>1.861675e+00</td>\n",
" <td>9.308375e-01</td>\n",
" <td>4.654188e-01</td>\n",
" <td>2.327094e-01</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.301564</td>\n",
" <td>0.603129</td>\n",
" <td>0.301564</td>\n",
" <td>0.603129</td>\n",
" <td>0.301564</td>\n",
" <td>0.150782</td>\n",
" <td>0.301564</td>\n",
" <td>0.603129</td>\n",
" <td>0.301564</td>\n",
" <td>0.603129</td>\n",
" <td>...</td>\n",
" <td>7.905331e+04</td>\n",
" <td>1.581066e+05</td>\n",
" <td>3.162132e+05</td>\n",
" <td>1.581066e+05</td>\n",
" <td>7.905331e+04</td>\n",
" <td>1.581066e+05</td>\n",
" <td>7.905331e+04</td>\n",
" <td>3.952665e+04</td>\n",
" <td>7.905331e+04</td>\n",
" <td>3.952665e+04</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.712685</td>\n",
" <td>1.425371</td>\n",
" <td>0.712685</td>\n",
" <td>1.425371</td>\n",
" <td>0.712685</td>\n",
" <td>0.356343</td>\n",
" <td>0.178171</td>\n",
" <td>0.356343</td>\n",
" <td>0.178171</td>\n",
" <td>0.089086</td>\n",
" <td>...</td>\n",
" <td>1.140297e+01</td>\n",
" <td>5.701483e+00</td>\n",
" <td>2.850741e+00</td>\n",
" <td>5.701483e+00</td>\n",
" <td>2.850741e+00</td>\n",
" <td>5.701483e+00</td>\n",
" <td>1.140297e+01</td>\n",
" <td>5.701483e+00</td>\n",
" <td>2.850741e+00</td>\n",
" <td>1.425371e+00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>0.017269</td>\n",
" <td>0.034538</td>\n",
" <td>0.017269</td>\n",
" <td>0.034538</td>\n",
" <td>0.017269</td>\n",
" <td>0.034538</td>\n",
" <td>0.017269</td>\n",
" <td>0.034538</td>\n",
" <td>0.069076</td>\n",
" <td>0.034538</td>\n",
" <td>...</td>\n",
" <td>1.054013e-06</td>\n",
" <td>5.270066e-07</td>\n",
" <td>2.635033e-07</td>\n",
" <td>5.270066e-07</td>\n",
" <td>1.054013e-06</td>\n",
" <td>5.270066e-07</td>\n",
" <td>1.054013e-06</td>\n",
" <td>5.270066e-07</td>\n",
" <td>1.054013e-06</td>\n",
" <td>2.108026e-06</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>0.880914</td>\n",
" <td>0.440457</td>\n",
" <td>0.220229</td>\n",
" <td>0.440457</td>\n",
" <td>0.880914</td>\n",
" <td>0.440457</td>\n",
" <td>0.220229</td>\n",
" <td>0.440457</td>\n",
" <td>0.220229</td>\n",
" <td>0.110114</td>\n",
" <td>...</td>\n",
" <td>2.202286e-01</td>\n",
" <td>1.101143e-01</td>\n",
" <td>5.505715e-02</td>\n",
" <td>2.752857e-02</td>\n",
" <td>5.505715e-02</td>\n",
" <td>1.101143e-01</td>\n",
" <td>5.505715e-02</td>\n",
" <td>2.752857e-02</td>\n",
" <td>1.376429e-02</td>\n",
" <td>6.882143e-03</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>0.272007</td>\n",
" <td>0.544015</td>\n",
" <td>0.272007</td>\n",
" <td>0.544015</td>\n",
" <td>0.272007</td>\n",
" <td>0.544015</td>\n",
" <td>1.088029</td>\n",
" <td>0.544015</td>\n",
" <td>1.088029</td>\n",
" <td>2.176059</td>\n",
" <td>...</td>\n",
" <td>2.720073e-01</td>\n",
" <td>1.360037e-01</td>\n",
" <td>2.720073e-01</td>\n",
" <td>5.440146e-01</td>\n",
" <td>1.088029e+00</td>\n",
" <td>2.176059e+00</td>\n",
" <td>4.352117e+00</td>\n",
" <td>8.704234e+00</td>\n",
" <td>1.740847e+01</td>\n",
" <td>3.481694e+01</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>0.780762</td>\n",
" <td>0.390381</td>\n",
" <td>0.780762</td>\n",
" <td>1.561525</td>\n",
" <td>3.123049</td>\n",
" <td>6.246098</td>\n",
" <td>3.123049</td>\n",
" <td>1.561525</td>\n",
" <td>0.780762</td>\n",
" <td>0.390381</td>\n",
" <td>...</td>\n",
" <td>7.807623e-01</td>\n",
" <td>1.561525e+00</td>\n",
" <td>3.123049e+00</td>\n",
" <td>6.246098e+00</td>\n",
" <td>1.249220e+01</td>\n",
" <td>6.246098e+00</td>\n",
" <td>1.249220e+01</td>\n",
" <td>6.246098e+00</td>\n",
" <td>1.249220e+01</td>\n",
" <td>2.498439e+01</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <td>0.414427</td>\n",
" <td>0.207213</td>\n",
" <td>0.414427</td>\n",
" <td>0.828854</td>\n",
" <td>1.657707</td>\n",
" <td>3.315414</td>\n",
" <td>1.657707</td>\n",
" <td>3.315414</td>\n",
" <td>6.630829</td>\n",
" <td>13.261657</td>\n",
" <td>...</td>\n",
" <td>6.952928e+06</td>\n",
" <td>3.476464e+06</td>\n",
" <td>6.952928e+06</td>\n",
" <td>3.476464e+06</td>\n",
" <td>6.952928e+06</td>\n",
" <td>3.476464e+06</td>\n",
" <td>1.738232e+06</td>\n",
" <td>8.691160e+05</td>\n",
" <td>4.345580e+05</td>\n",
" <td>8.691160e+05</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10</th>\n",
" <td>0.500578</td>\n",
" <td>1.001155</td>\n",
" <td>0.500578</td>\n",
" <td>1.001155</td>\n",
" <td>2.002310</td>\n",
" <td>4.004620</td>\n",
" <td>8.009240</td>\n",
" <td>4.004620</td>\n",
" <td>2.002310</td>\n",
" <td>1.001155</td>\n",
" <td>...</td>\n",
" <td>8.201462e+03</td>\n",
" <td>1.640292e+04</td>\n",
" <td>3.280585e+04</td>\n",
" <td>1.640292e+04</td>\n",
" <td>3.280585e+04</td>\n",
" <td>6.561170e+04</td>\n",
" <td>3.280585e+04</td>\n",
" <td>6.561170e+04</td>\n",
" <td>1.312234e+05</td>\n",
" <td>2.624468e+05</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11</th>\n",
" <td>0.636927</td>\n",
" <td>1.273854</td>\n",
" <td>0.636927</td>\n",
" <td>0.318464</td>\n",
" <td>0.159232</td>\n",
" <td>0.318464</td>\n",
" <td>0.636927</td>\n",
" <td>1.273854</td>\n",
" <td>2.547709</td>\n",
" <td>1.273854</td>\n",
" <td>...</td>\n",
" <td>9.490954e-09</td>\n",
" <td>4.745477e-09</td>\n",
" <td>9.490954e-09</td>\n",
" <td>4.745477e-09</td>\n",
" <td>2.372739e-09</td>\n",
" <td>4.745477e-09</td>\n",
" <td>2.372739e-09</td>\n",
" <td>4.745477e-09</td>\n",
" <td>2.372739e-09</td>\n",
" <td>1.186369e-09</td>\n",
" </tr>\n",
" <tr>\n",
" <th>12</th>\n",
" <td>0.026376</td>\n",
" <td>0.013188</td>\n",
" <td>0.006594</td>\n",
" <td>0.003297</td>\n",
" <td>0.006594</td>\n",
" <td>0.013188</td>\n",
" <td>0.006594</td>\n",
" <td>0.013188</td>\n",
" <td>0.026376</td>\n",
" <td>0.052751</td>\n",
" <td>...</td>\n",
" <td>6.593923e-03</td>\n",
" <td>3.296962e-03</td>\n",
" <td>6.593923e-03</td>\n",
" <td>3.296962e-03</td>\n",
" <td>6.593923e-03</td>\n",
" <td>3.296962e-03</td>\n",
" <td>6.593923e-03</td>\n",
" <td>3.296962e-03</td>\n",
" <td>6.593923e-03</td>\n",
" <td>1.318785e-02</td>\n",
" </tr>\n",
" <tr>\n",
" <th>13</th>\n",
" <td>0.024183</td>\n",
" <td>0.012092</td>\n",
" <td>0.024183</td>\n",
" <td>0.048366</td>\n",
" <td>0.096733</td>\n",
" <td>0.048366</td>\n",
" <td>0.096733</td>\n",
" <td>0.193465</td>\n",
" <td>0.386931</td>\n",
" <td>0.773862</td>\n",
" <td>...</td>\n",
" <td>6.190893e+00</td>\n",
" <td>1.238179e+01</td>\n",
" <td>2.476357e+01</td>\n",
" <td>1.238179e+01</td>\n",
" <td>6.190893e+00</td>\n",
" <td>1.238179e+01</td>\n",
" <td>2.476357e+01</td>\n",
" <td>4.952715e+01</td>\n",
" <td>2.476357e+01</td>\n",
" <td>1.238179e+01</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14</th>\n",
" <td>0.191893</td>\n",
" <td>0.383787</td>\n",
" <td>0.191893</td>\n",
" <td>0.095947</td>\n",
" <td>0.047973</td>\n",
" <td>0.023987</td>\n",
" <td>0.011993</td>\n",
" <td>0.005997</td>\n",
" <td>0.002998</td>\n",
" <td>0.005997</td>\n",
" <td>...</td>\n",
" <td>2.998335e-03</td>\n",
" <td>1.499168e-03</td>\n",
" <td>2.998335e-03</td>\n",
" <td>1.499168e-03</td>\n",
" <td>2.998335e-03</td>\n",
" <td>5.996671e-03</td>\n",
" <td>2.998335e-03</td>\n",
" <td>1.499168e-03</td>\n",
" <td>7.495838e-04</td>\n",
" <td>3.747919e-04</td>\n",
" </tr>\n",
" <tr>\n",
" <th>15</th>\n",
" <td>0.879168</td>\n",
" <td>0.439584</td>\n",
" <td>0.879168</td>\n",
" <td>1.758336</td>\n",
" <td>3.516673</td>\n",
" <td>1.758336</td>\n",
" <td>3.516673</td>\n",
" <td>7.033345</td>\n",
" <td>14.066690</td>\n",
" <td>28.133380</td>\n",
" <td>...</td>\n",
" <td>8.791681e-01</td>\n",
" <td>4.395841e-01</td>\n",
" <td>8.791681e-01</td>\n",
" <td>1.758336e+00</td>\n",
" <td>3.516673e+00</td>\n",
" <td>7.033345e+00</td>\n",
" <td>3.516673e+00</td>\n",
" <td>1.758336e+00</td>\n",
" <td>3.516673e+00</td>\n",
" <td>1.758336e+00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>16</th>\n",
" <td>0.244887</td>\n",
" <td>0.122443</td>\n",
" <td>0.061222</td>\n",
" <td>0.122443</td>\n",
" <td>0.244887</td>\n",
" <td>0.489774</td>\n",
" <td>0.979548</td>\n",
" <td>1.959096</td>\n",
" <td>3.918192</td>\n",
" <td>7.836384</td>\n",
" <td>...</td>\n",
" <td>6.122175e-02</td>\n",
" <td>1.224435e-01</td>\n",
" <td>6.122175e-02</td>\n",
" <td>1.224435e-01</td>\n",
" <td>6.122175e-02</td>\n",
" <td>1.224435e-01</td>\n",
" <td>6.122175e-02</td>\n",
" <td>1.224435e-01</td>\n",
" <td>6.122175e-02</td>\n",
" <td>3.061087e-02</td>\n",
" </tr>\n",
" <tr>\n",
" <th>17</th>\n",
" <td>0.650573</td>\n",
" <td>0.325286</td>\n",
" <td>0.162643</td>\n",
" <td>0.081322</td>\n",
" <td>0.040661</td>\n",
" <td>0.081322</td>\n",
" <td>0.040661</td>\n",
" <td>0.081322</td>\n",
" <td>0.162643</td>\n",
" <td>0.325286</td>\n",
" <td>...</td>\n",
" <td>1.626432e-01</td>\n",
" <td>3.252864e-01</td>\n",
" <td>1.626432e-01</td>\n",
" <td>3.252864e-01</td>\n",
" <td>1.626432e-01</td>\n",
" <td>8.132161e-02</td>\n",
" <td>1.626432e-01</td>\n",
" <td>3.252864e-01</td>\n",
" <td>1.626432e-01</td>\n",
" <td>3.252864e-01</td>\n",
" </tr>\n",
" <tr>\n",
" <th>18</th>\n",
" <td>0.142231</td>\n",
" <td>0.284462</td>\n",
" <td>0.142231</td>\n",
" <td>0.284462</td>\n",
" <td>0.142231</td>\n",
" <td>0.071115</td>\n",
" <td>0.142231</td>\n",
" <td>0.071115</td>\n",
" <td>0.035558</td>\n",
" <td>0.071115</td>\n",
" <td>...</td>\n",
" <td>9.102779e+00</td>\n",
" <td>4.551390e+00</td>\n",
" <td>2.275695e+00</td>\n",
" <td>1.137847e+00</td>\n",
" <td>5.689237e-01</td>\n",
" <td>1.137847e+00</td>\n",
" <td>2.275695e+00</td>\n",
" <td>1.137847e+00</td>\n",
" <td>5.689237e-01</td>\n",
" <td>1.137847e+00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>19</th>\n",
" <td>0.873016</td>\n",
" <td>0.436508</td>\n",
" <td>0.218254</td>\n",
" <td>0.436508</td>\n",
" <td>0.218254</td>\n",
" <td>0.436508</td>\n",
" <td>0.873016</td>\n",
" <td>1.746033</td>\n",
" <td>3.492065</td>\n",
" <td>6.984130</td>\n",
" <td>...</td>\n",
" <td>2.234922e+02</td>\n",
" <td>4.469843e+02</td>\n",
" <td>2.234922e+02</td>\n",
" <td>1.117461e+02</td>\n",
" <td>5.587304e+01</td>\n",
" <td>2.793652e+01</td>\n",
" <td>1.396826e+01</td>\n",
" <td>6.984130e+00</td>\n",
" <td>1.396826e+01</td>\n",
" <td>2.793652e+01</td>\n",
" </tr>\n",
" <tr>\n",
" <th>20</th>\n",
" <td>0.891328</td>\n",
" <td>1.782657</td>\n",
" <td>0.891328</td>\n",
" <td>0.445664</td>\n",
" <td>0.891328</td>\n",
" <td>1.782657</td>\n",
" <td>3.565314</td>\n",
" <td>7.130627</td>\n",
" <td>14.261255</td>\n",
" <td>28.522510</td>\n",
" <td>...</td>\n",
" <td>5.704502e+01</td>\n",
" <td>1.140900e+02</td>\n",
" <td>2.281801e+02</td>\n",
" <td>4.563602e+02</td>\n",
" <td>2.281801e+02</td>\n",
" <td>4.563602e+02</td>\n",
" <td>2.281801e+02</td>\n",
" <td>1.140900e+02</td>\n",
" <td>5.704502e+01</td>\n",
" <td>2.852251e+01</td>\n",
" </tr>\n",
" <tr>\n",
" <th>21</th>\n",
" <td>0.153000</td>\n",
" <td>0.306000</td>\n",
" <td>0.153000</td>\n",
" <td>0.306000</td>\n",
" <td>0.611999</td>\n",
" <td>0.306000</td>\n",
" <td>0.153000</td>\n",
" <td>0.076500</td>\n",
" <td>0.038250</td>\n",
" <td>0.076500</td>\n",
" <td>...</td>\n",
" <td>1.494139e-04</td>\n",
" <td>7.470695e-05</td>\n",
" <td>3.735347e-05</td>\n",
" <td>1.867674e-05</td>\n",
" <td>3.735347e-05</td>\n",
" <td>7.470695e-05</td>\n",
" <td>1.494139e-04</td>\n",
" <td>2.988278e-04</td>\n",
" <td>5.976556e-04</td>\n",
" <td>2.988278e-04</td>\n",
" </tr>\n",
" <tr>\n",
" <th>22</th>\n",
" <td>0.715052</td>\n",
" <td>1.430104</td>\n",
" <td>0.715052</td>\n",
" <td>1.430104</td>\n",
" <td>2.860208</td>\n",
" <td>5.720416</td>\n",
" <td>11.440832</td>\n",
" <td>22.881663</td>\n",
" <td>11.440832</td>\n",
" <td>22.881663</td>\n",
" <td>...</td>\n",
" <td>1.144083e+01</td>\n",
" <td>5.720416e+00</td>\n",
" <td>2.860208e+00</td>\n",
" <td>1.430104e+00</td>\n",
" <td>7.150520e-01</td>\n",
" <td>3.575260e-01</td>\n",
" <td>7.150520e-01</td>\n",
" <td>1.430104e+00</td>\n",
" <td>7.150520e-01</td>\n",
" <td>1.430104e+00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>23</th>\n",
" <td>0.023561</td>\n",
" <td>0.047123</td>\n",
" <td>0.023561</td>\n",
" <td>0.011781</td>\n",
" <td>0.023561</td>\n",
" <td>0.011781</td>\n",
" <td>0.005890</td>\n",
" <td>0.002945</td>\n",
" <td>0.005890</td>\n",
" <td>0.011781</td>\n",
" <td>...</td>\n",
" <td>3.681458e-04</td>\n",
" <td>7.362916e-04</td>\n",
" <td>3.681458e-04</td>\n",
" <td>1.840729e-04</td>\n",
" <td>9.203645e-05</td>\n",
" <td>4.601822e-05</td>\n",
" <td>2.300911e-05</td>\n",
" <td>4.601822e-05</td>\n",
" <td>2.300911e-05</td>\n",
" <td>4.601822e-05</td>\n",
" </tr>\n",
" <tr>\n",
" <th>24</th>\n",
" <td>0.434079</td>\n",
" <td>0.868157</td>\n",
" <td>0.434079</td>\n",
" <td>0.217039</td>\n",
" <td>0.108520</td>\n",
" <td>0.054260</td>\n",
" <td>0.108520</td>\n",
" <td>0.054260</td>\n",
" <td>0.108520</td>\n",
" <td>0.217039</td>\n",
" <td>...</td>\n",
" <td>1.695620e-03</td>\n",
" <td>3.391240e-03</td>\n",
" <td>6.782479e-03</td>\n",
" <td>1.356496e-02</td>\n",
" <td>6.782479e-03</td>\n",
" <td>3.391240e-03</td>\n",
" <td>1.695620e-03</td>\n",
" <td>8.478099e-04</td>\n",
" <td>1.695620e-03</td>\n",
" <td>8.478099e-04</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25</th>\n",
" <td>0.387038</td>\n",
" <td>0.193519</td>\n",
" <td>0.096759</td>\n",
" <td>0.048380</td>\n",
" <td>0.096759</td>\n",
" <td>0.193519</td>\n",
" <td>0.387038</td>\n",
" <td>0.774075</td>\n",
" <td>1.548151</td>\n",
" <td>3.096301</td>\n",
" <td>...</td>\n",
" <td>2.418985e-02</td>\n",
" <td>4.837971e-02</td>\n",
" <td>2.418985e-02</td>\n",
" <td>4.837971e-02</td>\n",
" <td>2.418985e-02</td>\n",
" <td>4.837971e-02</td>\n",
" <td>9.675942e-02</td>\n",
" <td>1.935188e-01</td>\n",
" <td>9.675942e-02</td>\n",
" <td>1.935188e-01</td>\n",
" </tr>\n",
" <tr>\n",
" <th>26</th>\n",
" <td>0.882633</td>\n",
" <td>0.441316</td>\n",
" <td>0.220658</td>\n",
" <td>0.441316</td>\n",
" <td>0.882633</td>\n",
" <td>0.441316</td>\n",
" <td>0.220658</td>\n",
" <td>0.441316</td>\n",
" <td>0.882633</td>\n",
" <td>0.441316</td>\n",
" <td>...</td>\n",
" <td>2.206581e-01</td>\n",
" <td>4.413163e-01</td>\n",
" <td>8.826325e-01</td>\n",
" <td>1.765265e+00</td>\n",
" <td>3.530530e+00</td>\n",
" <td>7.061060e+00</td>\n",
" <td>1.412212e+01</td>\n",
" <td>2.824424e+01</td>\n",
" <td>1.412212e+01</td>\n",
" <td>7.061060e+00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>27</th>\n",
" <td>0.999212</td>\n",
" <td>0.499606</td>\n",
" <td>0.249803</td>\n",
" <td>0.499606</td>\n",
" <td>0.249803</td>\n",
" <td>0.124901</td>\n",
" <td>0.062451</td>\n",
" <td>0.031225</td>\n",
" <td>0.062451</td>\n",
" <td>0.124901</td>\n",
" <td>...</td>\n",
" <td>3.996846e+00</td>\n",
" <td>1.998423e+00</td>\n",
" <td>9.992115e-01</td>\n",
" <td>1.998423e+00</td>\n",
" <td>3.996846e+00</td>\n",
" <td>1.998423e+00</td>\n",
" <td>3.996846e+00</td>\n",
" <td>7.993692e+00</td>\n",
" <td>1.598738e+01</td>\n",
" <td>3.197477e+01</td>\n",
" </tr>\n",
" <tr>\n",
" <th>28</th>\n",
" <td>0.599268</td>\n",
" <td>0.299634</td>\n",
" <td>0.149817</td>\n",
" <td>0.074909</td>\n",
" <td>0.037454</td>\n",
" <td>0.018727</td>\n",
" <td>0.037454</td>\n",
" <td>0.018727</td>\n",
" <td>0.009364</td>\n",
" <td>0.004682</td>\n",
" <td>...</td>\n",
" <td>3.745427e-02</td>\n",
" <td>7.490854e-02</td>\n",
" <td>1.498171e-01</td>\n",
" <td>7.490854e-02</td>\n",
" <td>3.745427e-02</td>\n",
" <td>1.872714e-02</td>\n",
" <td>3.745427e-02</td>\n",
" <td>7.490854e-02</td>\n",
" <td>3.745427e-02</td>\n",
" <td>1.872714e-02</td>\n",
" </tr>\n",
" <tr>\n",
" <th>29</th>\n",
" <td>0.707329</td>\n",
" <td>0.353665</td>\n",
" <td>0.707329</td>\n",
" <td>0.353665</td>\n",
" <td>0.707329</td>\n",
" <td>1.414659</td>\n",
" <td>2.829318</td>\n",
" <td>1.414659</td>\n",
" <td>0.707329</td>\n",
" <td>0.353665</td>\n",
" <td>...</td>\n",
" <td>1.105202e-02</td>\n",
" <td>2.210404e-02</td>\n",
" <td>4.420809e-02</td>\n",
" <td>2.210404e-02</td>\n",
" <td>1.105202e-02</td>\n",
" <td>5.526011e-03</td>\n",
" <td>1.105202e-02</td>\n",
" <td>2.210404e-02</td>\n",
" <td>1.105202e-02</td>\n",
" <td>2.210404e-02</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>70</th>\n",
" <td>0.608933</td>\n",
" <td>1.217866</td>\n",
" <td>0.608933</td>\n",
" <td>0.304467</td>\n",
" <td>0.608933</td>\n",
" <td>0.304467</td>\n",
" <td>0.152233</td>\n",
" <td>0.304467</td>\n",
" <td>0.152233</td>\n",
" <td>0.076117</td>\n",
" <td>...</td>\n",
" <td>6.089332e-01</td>\n",
" <td>1.217866e+00</td>\n",
" <td>6.089332e-01</td>\n",
" <td>1.217866e+00</td>\n",
" <td>6.089332e-01</td>\n",
" <td>1.217866e+00</td>\n",
" <td>2.435733e+00</td>\n",
" <td>4.871465e+00</td>\n",
" <td>2.435733e+00</td>\n",
" <td>1.217866e+00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>71</th>\n",
" <td>0.293717</td>\n",
" <td>0.146859</td>\n",
" <td>0.293717</td>\n",
" <td>0.587435</td>\n",
" <td>1.174869</td>\n",
" <td>2.349738</td>\n",
" <td>4.699476</td>\n",
" <td>2.349738</td>\n",
" <td>1.174869</td>\n",
" <td>2.349738</td>\n",
" <td>...</td>\n",
" <td>4.699476e+00</td>\n",
" <td>9.398953e+00</td>\n",
" <td>4.699476e+00</td>\n",
" <td>9.398953e+00</td>\n",
" <td>4.699476e+00</td>\n",
" <td>9.398953e+00</td>\n",
" <td>1.879791e+01</td>\n",
" <td>3.759581e+01</td>\n",
" <td>1.879791e+01</td>\n",
" <td>9.398953e+00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>72</th>\n",
" <td>0.928548</td>\n",
" <td>1.857096</td>\n",
" <td>3.714192</td>\n",
" <td>1.857096</td>\n",
" <td>3.714192</td>\n",
" <td>1.857096</td>\n",
" <td>3.714192</td>\n",
" <td>1.857096</td>\n",
" <td>0.928548</td>\n",
" <td>0.464274</td>\n",
" <td>...</td>\n",
" <td>5.803425e-02</td>\n",
" <td>2.901713e-02</td>\n",
" <td>5.803425e-02</td>\n",
" <td>1.160685e-01</td>\n",
" <td>2.321370e-01</td>\n",
" <td>1.160685e-01</td>\n",
" <td>5.803425e-02</td>\n",
" <td>2.901713e-02</td>\n",
" <td>1.450856e-02</td>\n",
" <td>2.901713e-02</td>\n",
" </tr>\n",
" <tr>\n",
" <th>73</th>\n",
" <td>0.627426</td>\n",
" <td>0.313713</td>\n",
" <td>0.627426</td>\n",
" <td>0.313713</td>\n",
" <td>0.627426</td>\n",
" <td>1.254853</td>\n",
" <td>0.627426</td>\n",
" <td>1.254853</td>\n",
" <td>2.509705</td>\n",
" <td>1.254853</td>\n",
" <td>...</td>\n",
" <td>2.509705e+00</td>\n",
" <td>5.019411e+00</td>\n",
" <td>1.003882e+01</td>\n",
" <td>2.007764e+01</td>\n",
" <td>4.015529e+01</td>\n",
" <td>8.031057e+01</td>\n",
" <td>4.015529e+01</td>\n",
" <td>8.031057e+01</td>\n",
" <td>4.015529e+01</td>\n",
" <td>2.007764e+01</td>\n",
" </tr>\n",
" <tr>\n",
" <th>74</th>\n",
" <td>0.421624</td>\n",
" <td>0.843249</td>\n",
" <td>0.421624</td>\n",
" <td>0.843249</td>\n",
" <td>1.686497</td>\n",
" <td>0.843249</td>\n",
" <td>0.421624</td>\n",
" <td>0.843249</td>\n",
" <td>0.421624</td>\n",
" <td>0.210812</td>\n",
" <td>...</td>\n",
" <td>1.079358e+02</td>\n",
" <td>2.158716e+02</td>\n",
" <td>1.079358e+02</td>\n",
" <td>2.158716e+02</td>\n",
" <td>1.079358e+02</td>\n",
" <td>5.396791e+01</td>\n",
" <td>1.079358e+02</td>\n",
" <td>5.396791e+01</td>\n",
" <td>1.079358e+02</td>\n",
" <td>2.158716e+02</td>\n",
" </tr>\n",
" <tr>\n",
" <th>75</th>\n",
" <td>0.998251</td>\n",
" <td>1.996503</td>\n",
" <td>0.998251</td>\n",
" <td>1.996503</td>\n",
" <td>0.998251</td>\n",
" <td>0.499126</td>\n",
" <td>0.249563</td>\n",
" <td>0.124781</td>\n",
" <td>0.249563</td>\n",
" <td>0.499126</td>\n",
" <td>...</td>\n",
" <td>2.495628e-01</td>\n",
" <td>1.247814e-01</td>\n",
" <td>6.239071e-02</td>\n",
" <td>1.247814e-01</td>\n",
" <td>6.239071e-02</td>\n",
" <td>3.119535e-02</td>\n",
" <td>1.559768e-02</td>\n",
" <td>3.119535e-02</td>\n",
" <td>1.559768e-02</td>\n",
" <td>3.119535e-02</td>\n",
" </tr>\n",
" <tr>\n",
" <th>76</th>\n",
" <td>0.142257</td>\n",
" <td>0.284514</td>\n",
" <td>0.142257</td>\n",
" <td>0.284514</td>\n",
" <td>0.569028</td>\n",
" <td>0.284514</td>\n",
" <td>0.142257</td>\n",
" <td>0.071128</td>\n",
" <td>0.142257</td>\n",
" <td>0.071128</td>\n",
" <td>...</td>\n",
" <td>5.556911e-04</td>\n",
" <td>2.778455e-04</td>\n",
" <td>1.389228e-04</td>\n",
" <td>6.946138e-05</td>\n",
" <td>1.389228e-04</td>\n",
" <td>6.946138e-05</td>\n",
" <td>1.389228e-04</td>\n",
" <td>2.778455e-04</td>\n",
" <td>5.556911e-04</td>\n",
" <td>1.111382e-03</td>\n",
" </tr>\n",
" <tr>\n",
" <th>77</th>\n",
" <td>0.010775</td>\n",
" <td>0.021550</td>\n",
" <td>0.010775</td>\n",
" <td>0.021550</td>\n",
" <td>0.043100</td>\n",
" <td>0.021550</td>\n",
" <td>0.043100</td>\n",
" <td>0.086199</td>\n",
" <td>0.172398</td>\n",
" <td>0.344796</td>\n",
" <td>...</td>\n",
" <td>1.765357e+02</td>\n",
" <td>8.826786e+01</td>\n",
" <td>4.413393e+01</td>\n",
" <td>2.206697e+01</td>\n",
" <td>4.413393e+01</td>\n",
" <td>8.826786e+01</td>\n",
" <td>4.413393e+01</td>\n",
" <td>8.826786e+01</td>\n",
" <td>4.413393e+01</td>\n",
" <td>8.826786e+01</td>\n",
" </tr>\n",
" <tr>\n",
" <th>78</th>\n",
" <td>0.427473</td>\n",
" <td>0.213736</td>\n",
" <td>0.106868</td>\n",
" <td>0.213736</td>\n",
" <td>0.427473</td>\n",
" <td>0.854945</td>\n",
" <td>1.709891</td>\n",
" <td>0.854945</td>\n",
" <td>0.427473</td>\n",
" <td>0.854945</td>\n",
" <td>...</td>\n",
" <td>6.679261e-03</td>\n",
" <td>3.339630e-03</td>\n",
" <td>1.669815e-03</td>\n",
" <td>8.349076e-04</td>\n",
" <td>4.174538e-04</td>\n",
" <td>2.087269e-04</td>\n",
" <td>4.174538e-04</td>\n",
" <td>8.349076e-04</td>\n",
" <td>4.174538e-04</td>\n",
" <td>2.087269e-04</td>\n",
" </tr>\n",
" <tr>\n",
" <th>79</th>\n",
" <td>0.893811</td>\n",
" <td>1.787621</td>\n",
" <td>3.575242</td>\n",
" <td>7.150485</td>\n",
" <td>3.575242</td>\n",
" <td>7.150485</td>\n",
" <td>3.575242</td>\n",
" <td>1.787621</td>\n",
" <td>0.893811</td>\n",
" <td>1.787621</td>\n",
" <td>...</td>\n",
" <td>1.363847e-05</td>\n",
" <td>6.819234e-06</td>\n",
" <td>3.409617e-06</td>\n",
" <td>1.704808e-06</td>\n",
" <td>3.409617e-06</td>\n",
" <td>1.704808e-06</td>\n",
" <td>3.409617e-06</td>\n",
" <td>6.819234e-06</td>\n",
" <td>3.409617e-06</td>\n",
" <td>6.819234e-06</td>\n",
" </tr>\n",
" <tr>\n",
" <th>80</th>\n",
" <td>0.156995</td>\n",
" <td>0.078497</td>\n",
" <td>0.156995</td>\n",
" <td>0.078497</td>\n",
" <td>0.039249</td>\n",
" <td>0.019624</td>\n",
" <td>0.009812</td>\n",
" <td>0.019624</td>\n",
" <td>0.009812</td>\n",
" <td>0.004906</td>\n",
" <td>...</td>\n",
" <td>1.607626e+02</td>\n",
" <td>8.038132e+01</td>\n",
" <td>1.607626e+02</td>\n",
" <td>8.038132e+01</td>\n",
" <td>1.607626e+02</td>\n",
" <td>3.215253e+02</td>\n",
" <td>1.607626e+02</td>\n",
" <td>8.038132e+01</td>\n",
" <td>1.607626e+02</td>\n",
" <td>8.038132e+01</td>\n",
" </tr>\n",
" <tr>\n",
" <th>81</th>\n",
" <td>0.471171</td>\n",
" <td>0.235585</td>\n",
" <td>0.117793</td>\n",
" <td>0.058896</td>\n",
" <td>0.117793</td>\n",
" <td>0.235585</td>\n",
" <td>0.117793</td>\n",
" <td>0.058896</td>\n",
" <td>0.117793</td>\n",
" <td>0.058896</td>\n",
" <td>...</td>\n",
" <td>7.362043e-03</td>\n",
" <td>1.472409e-02</td>\n",
" <td>2.944817e-02</td>\n",
" <td>5.889634e-02</td>\n",
" <td>2.944817e-02</td>\n",
" <td>1.472409e-02</td>\n",
" <td>2.944817e-02</td>\n",
" <td>5.889634e-02</td>\n",
" <td>2.944817e-02</td>\n",
" <td>5.889634e-02</td>\n",
" </tr>\n",
" <tr>\n",
" <th>82</th>\n",
" <td>0.796823</td>\n",
" <td>1.593645</td>\n",
" <td>0.796823</td>\n",
" <td>1.593645</td>\n",
" <td>3.187291</td>\n",
" <td>6.374581</td>\n",
" <td>3.187291</td>\n",
" <td>1.593645</td>\n",
" <td>0.796823</td>\n",
" <td>0.398411</td>\n",
" <td>...</td>\n",
" <td>7.968227e-01</td>\n",
" <td>1.593645e+00</td>\n",
" <td>7.968227e-01</td>\n",
" <td>1.593645e+00</td>\n",
" <td>3.187291e+00</td>\n",
" <td>1.593645e+00</td>\n",
" <td>3.187291e+00</td>\n",
" <td>1.593645e+00</td>\n",
" <td>7.968227e-01</td>\n",
" <td>3.984113e-01</td>\n",
" </tr>\n",
" <tr>\n",
" <th>83</th>\n",
" <td>0.974048</td>\n",
" <td>1.948096</td>\n",
" <td>0.974048</td>\n",
" <td>0.487024</td>\n",
" <td>0.974048</td>\n",
" <td>0.487024</td>\n",
" <td>0.243512</td>\n",
" <td>0.487024</td>\n",
" <td>0.243512</td>\n",
" <td>0.121756</td>\n",
" <td>...</td>\n",
" <td>9.740478e-01</td>\n",
" <td>4.870239e-01</td>\n",
" <td>2.435120e-01</td>\n",
" <td>1.217560e-01</td>\n",
" <td>2.435120e-01</td>\n",
" <td>1.217560e-01</td>\n",
" <td>6.087799e-02</td>\n",
" <td>1.217560e-01</td>\n",
" <td>2.435120e-01</td>\n",
" <td>4.870239e-01</td>\n",
" </tr>\n",
" <tr>\n",
" <th>84</th>\n",
" <td>0.492800</td>\n",
" <td>0.246400</td>\n",
" <td>0.123200</td>\n",
" <td>0.246400</td>\n",
" <td>0.123200</td>\n",
" <td>0.246400</td>\n",
" <td>0.492800</td>\n",
" <td>0.246400</td>\n",
" <td>0.123200</td>\n",
" <td>0.246400</td>\n",
" <td>...</td>\n",
" <td>1.232000e-01</td>\n",
" <td>6.159999e-02</td>\n",
" <td>3.080000e-02</td>\n",
" <td>1.540000e-02</td>\n",
" <td>7.699999e-03</td>\n",
" <td>3.850000e-03</td>\n",
" <td>1.925000e-03</td>\n",
" <td>9.624999e-04</td>\n",
" <td>4.812499e-04</td>\n",
" <td>2.406250e-04</td>\n",
" </tr>\n",
" <tr>\n",
" <th>85</th>\n",
" <td>0.338891</td>\n",
" <td>0.169445</td>\n",
" <td>0.084723</td>\n",
" <td>0.042361</td>\n",
" <td>0.084723</td>\n",
" <td>0.169445</td>\n",
" <td>0.084723</td>\n",
" <td>0.169445</td>\n",
" <td>0.084723</td>\n",
" <td>0.042361</td>\n",
" <td>...</td>\n",
" <td>2.068424e-05</td>\n",
" <td>1.034212e-05</td>\n",
" <td>5.171059e-06</td>\n",
" <td>1.034212e-05</td>\n",
" <td>5.171059e-06</td>\n",
" <td>2.585530e-06</td>\n",
" <td>5.171059e-06</td>\n",
" <td>2.585530e-06</td>\n",
" <td>5.171059e-06</td>\n",
" <td>1.034212e-05</td>\n",
" </tr>\n",
" <tr>\n",
" <th>86</th>\n",
" <td>0.993574</td>\n",
" <td>1.987148</td>\n",
" <td>0.993574</td>\n",
" <td>1.987148</td>\n",
" <td>0.993574</td>\n",
" <td>0.496787</td>\n",
" <td>0.993574</td>\n",
" <td>1.987148</td>\n",
" <td>3.974295</td>\n",
" <td>7.948590</td>\n",
" <td>...</td>\n",
" <td>1.017420e+03</td>\n",
" <td>5.087098e+02</td>\n",
" <td>2.543549e+02</td>\n",
" <td>5.087098e+02</td>\n",
" <td>1.017420e+03</td>\n",
" <td>5.087098e+02</td>\n",
" <td>1.017420e+03</td>\n",
" <td>2.034839e+03</td>\n",
" <td>4.069678e+03</td>\n",
" <td>8.139356e+03</td>\n",
" </tr>\n",
" <tr>\n",
" <th>87</th>\n",
" <td>0.058439</td>\n",
" <td>0.029219</td>\n",
" <td>0.058439</td>\n",
" <td>0.116878</td>\n",
" <td>0.058439</td>\n",
" <td>0.029219</td>\n",
" <td>0.014610</td>\n",
" <td>0.029219</td>\n",
" <td>0.014610</td>\n",
" <td>0.029219</td>\n",
" <td>...</td>\n",
" <td>3.566832e-06</td>\n",
" <td>7.133663e-06</td>\n",
" <td>3.566832e-06</td>\n",
" <td>1.783416e-06</td>\n",
" <td>3.566832e-06</td>\n",
" <td>1.783416e-06</td>\n",
" <td>8.917079e-07</td>\n",
" <td>4.458540e-07</td>\n",
" <td>2.229270e-07</td>\n",
" <td>1.114635e-07</td>\n",
" </tr>\n",
" <tr>\n",
" <th>88</th>\n",
" <td>0.925038</td>\n",
" <td>1.850076</td>\n",
" <td>3.700153</td>\n",
" <td>7.400306</td>\n",
" <td>3.700153</td>\n",
" <td>1.850076</td>\n",
" <td>3.700153</td>\n",
" <td>7.400306</td>\n",
" <td>3.700153</td>\n",
" <td>1.850076</td>\n",
" <td>...</td>\n",
" <td>1.445372e-02</td>\n",
" <td>7.226861e-03</td>\n",
" <td>3.613430e-03</td>\n",
" <td>7.226861e-03</td>\n",
" <td>1.445372e-02</td>\n",
" <td>2.890744e-02</td>\n",
" <td>1.445372e-02</td>\n",
" <td>7.226861e-03</td>\n",
" <td>3.613430e-03</td>\n",
" <td>1.806715e-03</td>\n",
" </tr>\n",
" <tr>\n",
" <th>89</th>\n",
" <td>0.373680</td>\n",
" <td>0.747361</td>\n",
" <td>0.373680</td>\n",
" <td>0.747361</td>\n",
" <td>0.373680</td>\n",
" <td>0.186840</td>\n",
" <td>0.093420</td>\n",
" <td>0.046710</td>\n",
" <td>0.023355</td>\n",
" <td>0.046710</td>\n",
" <td>...</td>\n",
" <td>1.530595e+03</td>\n",
" <td>7.652973e+02</td>\n",
" <td>1.530595e+03</td>\n",
" <td>3.061189e+03</td>\n",
" <td>6.122378e+03</td>\n",
" <td>1.224476e+04</td>\n",
" <td>6.122378e+03</td>\n",
" <td>1.224476e+04</td>\n",
" <td>2.448951e+04</td>\n",
" <td>4.897902e+04</td>\n",
" </tr>\n",
" <tr>\n",
" <th>90</th>\n",
" <td>0.576945</td>\n",
" <td>1.153889</td>\n",
" <td>0.576945</td>\n",
" <td>1.153889</td>\n",
" <td>0.576945</td>\n",
" <td>0.288472</td>\n",
" <td>0.576945</td>\n",
" <td>1.153889</td>\n",
" <td>2.307778</td>\n",
" <td>4.615556</td>\n",
" <td>...</td>\n",
" <td>2.307778e+00</td>\n",
" <td>1.153889e+00</td>\n",
" <td>5.769445e-01</td>\n",
" <td>1.153889e+00</td>\n",
" <td>5.769445e-01</td>\n",
" <td>1.153889e+00</td>\n",
" <td>5.769445e-01</td>\n",
" <td>2.884723e-01</td>\n",
" <td>1.442361e-01</td>\n",
" <td>7.211806e-02</td>\n",
" </tr>\n",
" <tr>\n",
" <th>91</th>\n",
" <td>0.046643</td>\n",
" <td>0.093285</td>\n",
" <td>0.186571</td>\n",
" <td>0.093285</td>\n",
" <td>0.186571</td>\n",
" <td>0.093285</td>\n",
" <td>0.046643</td>\n",
" <td>0.093285</td>\n",
" <td>0.046643</td>\n",
" <td>0.093285</td>\n",
" <td>...</td>\n",
" <td>1.821981e-04</td>\n",
" <td>9.109906e-05</td>\n",
" <td>1.821981e-04</td>\n",
" <td>3.643963e-04</td>\n",
" <td>7.287925e-04</td>\n",
" <td>1.457585e-03</td>\n",
" <td>2.915170e-03</td>\n",
" <td>5.830340e-03</td>\n",
" <td>2.915170e-03</td>\n",
" <td>5.830340e-03</td>\n",
" </tr>\n",
" <tr>\n",
" <th>92</th>\n",
" <td>0.623132</td>\n",
" <td>0.311566</td>\n",
" <td>0.623132</td>\n",
" <td>0.311566</td>\n",
" <td>0.155783</td>\n",
" <td>0.077891</td>\n",
" <td>0.038946</td>\n",
" <td>0.077891</td>\n",
" <td>0.038946</td>\n",
" <td>0.077891</td>\n",
" <td>...</td>\n",
" <td>3.894573e-02</td>\n",
" <td>1.947286e-02</td>\n",
" <td>3.894573e-02</td>\n",
" <td>7.789146e-02</td>\n",
" <td>3.894573e-02</td>\n",
" <td>1.947286e-02</td>\n",
" <td>9.736432e-03</td>\n",
" <td>1.947286e-02</td>\n",
" <td>3.894573e-02</td>\n",
" <td>7.789146e-02</td>\n",
" </tr>\n",
" <tr>\n",
" <th>93</th>\n",
" <td>0.528614</td>\n",
" <td>0.264307</td>\n",
" <td>0.528614</td>\n",
" <td>1.057227</td>\n",
" <td>0.528614</td>\n",
" <td>1.057227</td>\n",
" <td>2.114454</td>\n",
" <td>1.057227</td>\n",
" <td>2.114454</td>\n",
" <td>1.057227</td>\n",
" <td>...</td>\n",
" <td>2.064897e-03</td>\n",
" <td>4.129793e-03</td>\n",
" <td>2.064897e-03</td>\n",
" <td>1.032448e-03</td>\n",
" <td>5.162241e-04</td>\n",
" <td>2.581121e-04</td>\n",
" <td>1.290560e-04</td>\n",
" <td>6.452802e-05</td>\n",
" <td>1.290560e-04</td>\n",
" <td>2.581121e-04</td>\n",
" </tr>\n",
" <tr>\n",
" <th>94</th>\n",
" <td>0.475555</td>\n",
" <td>0.237777</td>\n",
" <td>0.118889</td>\n",
" <td>0.059444</td>\n",
" <td>0.118889</td>\n",
" <td>0.059444</td>\n",
" <td>0.118889</td>\n",
" <td>0.059444</td>\n",
" <td>0.118889</td>\n",
" <td>0.237777</td>\n",
" <td>...</td>\n",
" <td>2.972217e-02</td>\n",
" <td>1.486109e-02</td>\n",
" <td>7.430544e-03</td>\n",
" <td>3.715272e-03</td>\n",
" <td>7.430544e-03</td>\n",
" <td>3.715272e-03</td>\n",
" <td>7.430544e-03</td>\n",
" <td>3.715272e-03</td>\n",
" <td>1.857636e-03</td>\n",
" <td>9.288179e-04</td>\n",
" </tr>\n",
" <tr>\n",
" <th>95</th>\n",
" <td>0.666483</td>\n",
" <td>1.332966</td>\n",
" <td>0.666483</td>\n",
" <td>0.333242</td>\n",
" <td>0.166621</td>\n",
" <td>0.333242</td>\n",
" <td>0.666483</td>\n",
" <td>1.332966</td>\n",
" <td>0.666483</td>\n",
" <td>0.333242</td>\n",
" <td>...</td>\n",
" <td>2.603450e-03</td>\n",
" <td>1.301725e-03</td>\n",
" <td>6.508624e-04</td>\n",
" <td>3.254312e-04</td>\n",
" <td>6.508624e-04</td>\n",
" <td>1.301725e-03</td>\n",
" <td>6.508624e-04</td>\n",
" <td>3.254312e-04</td>\n",
" <td>6.508624e-04</td>\n",
" <td>1.301725e-03</td>\n",
" </tr>\n",
" <tr>\n",
" <th>96</th>\n",
" <td>0.672127</td>\n",
" <td>1.344254</td>\n",
" <td>0.672127</td>\n",
" <td>0.336064</td>\n",
" <td>0.672127</td>\n",
" <td>1.344254</td>\n",
" <td>2.688508</td>\n",
" <td>5.377017</td>\n",
" <td>10.754033</td>\n",
" <td>5.377017</td>\n",
" <td>...</td>\n",
" <td>4.404852e+04</td>\n",
" <td>2.202426e+04</td>\n",
" <td>1.101213e+04</td>\n",
" <td>5.506065e+03</td>\n",
" <td>1.101213e+04</td>\n",
" <td>5.506065e+03</td>\n",
" <td>1.101213e+04</td>\n",
" <td>2.202426e+04</td>\n",
" <td>1.101213e+04</td>\n",
" <td>5.506065e+03</td>\n",
" </tr>\n",
" <tr>\n",
" <th>97</th>\n",
" <td>0.224629</td>\n",
" <td>0.112315</td>\n",
" <td>0.056157</td>\n",
" <td>0.028079</td>\n",
" <td>0.056157</td>\n",
" <td>0.028079</td>\n",
" <td>0.014039</td>\n",
" <td>0.007020</td>\n",
" <td>0.003510</td>\n",
" <td>0.001755</td>\n",
" <td>...</td>\n",
" <td>8.774571e-04</td>\n",
" <td>1.754914e-03</td>\n",
" <td>3.509829e-03</td>\n",
" <td>7.019657e-03</td>\n",
" <td>3.509829e-03</td>\n",
" <td>1.754914e-03</td>\n",
" <td>3.509829e-03</td>\n",
" <td>7.019657e-03</td>\n",
" <td>1.403931e-02</td>\n",
" <td>2.807863e-02</td>\n",
" </tr>\n",
" <tr>\n",
" <th>98</th>\n",
" <td>0.772521</td>\n",
" <td>1.545041</td>\n",
" <td>3.090082</td>\n",
" <td>1.545041</td>\n",
" <td>0.772521</td>\n",
" <td>1.545041</td>\n",
" <td>0.772521</td>\n",
" <td>0.386260</td>\n",
" <td>0.193130</td>\n",
" <td>0.096565</td>\n",
" <td>...</td>\n",
" <td>4.715091e-05</td>\n",
" <td>2.357546e-05</td>\n",
" <td>4.715091e-05</td>\n",
" <td>9.430182e-05</td>\n",
" <td>4.715091e-05</td>\n",
" <td>9.430182e-05</td>\n",
" <td>1.886036e-04</td>\n",
" <td>9.430182e-05</td>\n",
" <td>1.886036e-04</td>\n",
" <td>9.430182e-05</td>\n",
" </tr>\n",
" <tr>\n",
" <th>99</th>\n",
" <td>0.277795</td>\n",
" <td>0.555591</td>\n",
" <td>1.111181</td>\n",
" <td>0.555591</td>\n",
" <td>1.111181</td>\n",
" <td>2.222362</td>\n",
" <td>4.444724</td>\n",
" <td>8.889449</td>\n",
" <td>4.444724</td>\n",
" <td>8.889449</td>\n",
" <td>...</td>\n",
" <td>4.551398e+03</td>\n",
" <td>9.102795e+03</td>\n",
" <td>1.820559e+04</td>\n",
" <td>9.102795e+03</td>\n",
" <td>4.551398e+03</td>\n",
" <td>9.102795e+03</td>\n",
" <td>1.820559e+04</td>\n",
" <td>9.102795e+03</td>\n",
" <td>1.820559e+04</td>\n",
" <td>3.641118e+04</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>100 rows × 100 columns</p>\n",
"</div>"
],
"text/plain": [
" 0 1 2 3 4 5 6 \\\n",
"0 0.203390 0.101695 0.203390 0.101695 0.203390 0.101695 0.203390 \n",
"1 0.790724 0.395362 0.790724 1.581448 0.790724 1.581448 0.790724 \n",
"2 0.465419 0.232709 0.116355 0.232709 0.465419 0.232709 0.465419 \n",
"3 0.301564 0.603129 0.301564 0.603129 0.301564 0.150782 0.301564 \n",
"4 0.712685 1.425371 0.712685 1.425371 0.712685 0.356343 0.178171 \n",
"5 0.017269 0.034538 0.017269 0.034538 0.017269 0.034538 0.017269 \n",
"6 0.880914 0.440457 0.220229 0.440457 0.880914 0.440457 0.220229 \n",
"7 0.272007 0.544015 0.272007 0.544015 0.272007 0.544015 1.088029 \n",
"8 0.780762 0.390381 0.780762 1.561525 3.123049 6.246098 3.123049 \n",
"9 0.414427 0.207213 0.414427 0.828854 1.657707 3.315414 1.657707 \n",
"10 0.500578 1.001155 0.500578 1.001155 2.002310 4.004620 8.009240 \n",
"11 0.636927 1.273854 0.636927 0.318464 0.159232 0.318464 0.636927 \n",
"12 0.026376 0.013188 0.006594 0.003297 0.006594 0.013188 0.006594 \n",
"13 0.024183 0.012092 0.024183 0.048366 0.096733 0.048366 0.096733 \n",
"14 0.191893 0.383787 0.191893 0.095947 0.047973 0.023987 0.011993 \n",
"15 0.879168 0.439584 0.879168 1.758336 3.516673 1.758336 3.516673 \n",
"16 0.244887 0.122443 0.061222 0.122443 0.244887 0.489774 0.979548 \n",
"17 0.650573 0.325286 0.162643 0.081322 0.040661 0.081322 0.040661 \n",
"18 0.142231 0.284462 0.142231 0.284462 0.142231 0.071115 0.142231 \n",
"19 0.873016 0.436508 0.218254 0.436508 0.218254 0.436508 0.873016 \n",
"20 0.891328 1.782657 0.891328 0.445664 0.891328 1.782657 3.565314 \n",
"21 0.153000 0.306000 0.153000 0.306000 0.611999 0.306000 0.153000 \n",
"22 0.715052 1.430104 0.715052 1.430104 2.860208 5.720416 11.440832 \n",
"23 0.023561 0.047123 0.023561 0.011781 0.023561 0.011781 0.005890 \n",
"24 0.434079 0.868157 0.434079 0.217039 0.108520 0.054260 0.108520 \n",
"25 0.387038 0.193519 0.096759 0.048380 0.096759 0.193519 0.387038 \n",
"26 0.882633 0.441316 0.220658 0.441316 0.882633 0.441316 0.220658 \n",
"27 0.999212 0.499606 0.249803 0.499606 0.249803 0.124901 0.062451 \n",
"28 0.599268 0.299634 0.149817 0.074909 0.037454 0.018727 0.037454 \n",
"29 0.707329 0.353665 0.707329 0.353665 0.707329 1.414659 2.829318 \n",
".. ... ... ... ... ... ... ... \n",
"70 0.608933 1.217866 0.608933 0.304467 0.608933 0.304467 0.152233 \n",
"71 0.293717 0.146859 0.293717 0.587435 1.174869 2.349738 4.699476 \n",
"72 0.928548 1.857096 3.714192 1.857096 3.714192 1.857096 3.714192 \n",
"73 0.627426 0.313713 0.627426 0.313713 0.627426 1.254853 0.627426 \n",
"74 0.421624 0.843249 0.421624 0.843249 1.686497 0.843249 0.421624 \n",
"75 0.998251 1.996503 0.998251 1.996503 0.998251 0.499126 0.249563 \n",
"76 0.142257 0.284514 0.142257 0.284514 0.569028 0.284514 0.142257 \n",
"77 0.010775 0.021550 0.010775 0.021550 0.043100 0.021550 0.043100 \n",
"78 0.427473 0.213736 0.106868 0.213736 0.427473 0.854945 1.709891 \n",
"79 0.893811 1.787621 3.575242 7.150485 3.575242 7.150485 3.575242 \n",
"80 0.156995 0.078497 0.156995 0.078497 0.039249 0.019624 0.009812 \n",
"81 0.471171 0.235585 0.117793 0.058896 0.117793 0.235585 0.117793 \n",
"82 0.796823 1.593645 0.796823 1.593645 3.187291 6.374581 3.187291 \n",
"83 0.974048 1.948096 0.974048 0.487024 0.974048 0.487024 0.243512 \n",
"84 0.492800 0.246400 0.123200 0.246400 0.123200 0.246400 0.492800 \n",
"85 0.338891 0.169445 0.084723 0.042361 0.084723 0.169445 0.084723 \n",
"86 0.993574 1.987148 0.993574 1.987148 0.993574 0.496787 0.993574 \n",
"87 0.058439 0.029219 0.058439 0.116878 0.058439 0.029219 0.014610 \n",
"88 0.925038 1.850076 3.700153 7.400306 3.700153 1.850076 3.700153 \n",
"89 0.373680 0.747361 0.373680 0.747361 0.373680 0.186840 0.093420 \n",
"90 0.576945 1.153889 0.576945 1.153889 0.576945 0.288472 0.576945 \n",
"91 0.046643 0.093285 0.186571 0.093285 0.186571 0.093285 0.046643 \n",
"92 0.623132 0.311566 0.623132 0.311566 0.155783 0.077891 0.038946 \n",
"93 0.528614 0.264307 0.528614 1.057227 0.528614 1.057227 2.114454 \n",
"94 0.475555 0.237777 0.118889 0.059444 0.118889 0.059444 0.118889 \n",
"95 0.666483 1.332966 0.666483 0.333242 0.166621 0.333242 0.666483 \n",
"96 0.672127 1.344254 0.672127 0.336064 0.672127 1.344254 2.688508 \n",
"97 0.224629 0.112315 0.056157 0.028079 0.056157 0.028079 0.014039 \n",
"98 0.772521 1.545041 3.090082 1.545041 0.772521 1.545041 0.772521 \n",
"99 0.277795 0.555591 1.111181 0.555591 1.111181 2.222362 4.444724 \n",
"\n",
" 7 8 9 ... 90 91 \\\n",
"0 0.406779 0.203390 0.101695 ... 7.944903e-04 3.972451e-04 \n",
"1 0.395362 0.197681 0.098840 ... 4.942025e-02 9.884049e-02 \n",
"2 0.930838 1.861675 3.723350 ... 1.191472e+02 5.957360e+01 \n",
"3 0.603129 0.301564 0.603129 ... 7.905331e+04 1.581066e+05 \n",
"4 0.356343 0.178171 0.089086 ... 1.140297e+01 5.701483e+00 \n",
"5 0.034538 0.069076 0.034538 ... 1.054013e-06 5.270066e-07 \n",
"6 0.440457 0.220229 0.110114 ... 2.202286e-01 1.101143e-01 \n",
"7 0.544015 1.088029 2.176059 ... 2.720073e-01 1.360037e-01 \n",
"8 1.561525 0.780762 0.390381 ... 7.807623e-01 1.561525e+00 \n",
"9 3.315414 6.630829 13.261657 ... 6.952928e+06 3.476464e+06 \n",
"10 4.004620 2.002310 1.001155 ... 8.201462e+03 1.640292e+04 \n",
"11 1.273854 2.547709 1.273854 ... 9.490954e-09 4.745477e-09 \n",
"12 0.013188 0.026376 0.052751 ... 6.593923e-03 3.296962e-03 \n",
"13 0.193465 0.386931 0.773862 ... 6.190893e+00 1.238179e+01 \n",
"14 0.005997 0.002998 0.005997 ... 2.998335e-03 1.499168e-03 \n",
"15 7.033345 14.066690 28.133380 ... 8.791681e-01 4.395841e-01 \n",
"16 1.959096 3.918192 7.836384 ... 6.122175e-02 1.224435e-01 \n",
"17 0.081322 0.162643 0.325286 ... 1.626432e-01 3.252864e-01 \n",
"18 0.071115 0.035558 0.071115 ... 9.102779e+00 4.551390e+00 \n",
"19 1.746033 3.492065 6.984130 ... 2.234922e+02 4.469843e+02 \n",
"20 7.130627 14.261255 28.522510 ... 5.704502e+01 1.140900e+02 \n",
"21 0.076500 0.038250 0.076500 ... 1.494139e-04 7.470695e-05 \n",
"22 22.881663 11.440832 22.881663 ... 1.144083e+01 5.720416e+00 \n",
"23 0.002945 0.005890 0.011781 ... 3.681458e-04 7.362916e-04 \n",
"24 0.054260 0.108520 0.217039 ... 1.695620e-03 3.391240e-03 \n",
"25 0.774075 1.548151 3.096301 ... 2.418985e-02 4.837971e-02 \n",
"26 0.441316 0.882633 0.441316 ... 2.206581e-01 4.413163e-01 \n",
"27 0.031225 0.062451 0.124901 ... 3.996846e+00 1.998423e+00 \n",
"28 0.018727 0.009364 0.004682 ... 3.745427e-02 7.490854e-02 \n",
"29 1.414659 0.707329 0.353665 ... 1.105202e-02 2.210404e-02 \n",
".. ... ... ... ... ... ... \n",
"70 0.304467 0.152233 0.076117 ... 6.089332e-01 1.217866e+00 \n",
"71 2.349738 1.174869 2.349738 ... 4.699476e+00 9.398953e+00 \n",
"72 1.857096 0.928548 0.464274 ... 5.803425e-02 2.901713e-02 \n",
"73 1.254853 2.509705 1.254853 ... 2.509705e+00 5.019411e+00 \n",
"74 0.843249 0.421624 0.210812 ... 1.079358e+02 2.158716e+02 \n",
"75 0.124781 0.249563 0.499126 ... 2.495628e-01 1.247814e-01 \n",
"76 0.071128 0.142257 0.071128 ... 5.556911e-04 2.778455e-04 \n",
"77 0.086199 0.172398 0.344796 ... 1.765357e+02 8.826786e+01 \n",
"78 0.854945 0.427473 0.854945 ... 6.679261e-03 3.339630e-03 \n",
"79 1.787621 0.893811 1.787621 ... 1.363847e-05 6.819234e-06 \n",
"80 0.019624 0.009812 0.004906 ... 1.607626e+02 8.038132e+01 \n",
"81 0.058896 0.117793 0.058896 ... 7.362043e-03 1.472409e-02 \n",
"82 1.593645 0.796823 0.398411 ... 7.968227e-01 1.593645e+00 \n",
"83 0.487024 0.243512 0.121756 ... 9.740478e-01 4.870239e-01 \n",
"84 0.246400 0.123200 0.246400 ... 1.232000e-01 6.159999e-02 \n",
"85 0.169445 0.084723 0.042361 ... 2.068424e-05 1.034212e-05 \n",
"86 1.987148 3.974295 7.948590 ... 1.017420e+03 5.087098e+02 \n",
"87 0.029219 0.014610 0.029219 ... 3.566832e-06 7.133663e-06 \n",
"88 7.400306 3.700153 1.850076 ... 1.445372e-02 7.226861e-03 \n",
"89 0.046710 0.023355 0.046710 ... 1.530595e+03 7.652973e+02 \n",
"90 1.153889 2.307778 4.615556 ... 2.307778e+00 1.153889e+00 \n",
"91 0.093285 0.046643 0.093285 ... 1.821981e-04 9.109906e-05 \n",
"92 0.077891 0.038946 0.077891 ... 3.894573e-02 1.947286e-02 \n",
"93 1.057227 2.114454 1.057227 ... 2.064897e-03 4.129793e-03 \n",
"94 0.059444 0.118889 0.237777 ... 2.972217e-02 1.486109e-02 \n",
"95 1.332966 0.666483 0.333242 ... 2.603450e-03 1.301725e-03 \n",
"96 5.377017 10.754033 5.377017 ... 4.404852e+04 2.202426e+04 \n",
"97 0.007020 0.003510 0.001755 ... 8.774571e-04 1.754914e-03 \n",
"98 0.386260 0.193130 0.096565 ... 4.715091e-05 2.357546e-05 \n",
"99 8.889449 4.444724 8.889449 ... 4.551398e+03 9.102795e+03 \n",
"\n",
" 92 93 94 95 96 \\\n",
"0 7.944903e-04 1.588981e-03 3.177961e-03 6.355922e-03 3.177961e-03 \n",
"1 4.942025e-02 2.471012e-02 1.235506e-02 2.471012e-02 1.235506e-02 \n",
"2 2.978680e+01 1.489340e+01 7.446700e+00 3.723350e+00 1.861675e+00 \n",
"3 3.162132e+05 1.581066e+05 7.905331e+04 1.581066e+05 7.905331e+04 \n",
"4 2.850741e+00 5.701483e+00 2.850741e+00 5.701483e+00 1.140297e+01 \n",
"5 2.635033e-07 5.270066e-07 1.054013e-06 5.270066e-07 1.054013e-06 \n",
"6 5.505715e-02 2.752857e-02 5.505715e-02 1.101143e-01 5.505715e-02 \n",
"7 2.720073e-01 5.440146e-01 1.088029e+00 2.176059e+00 4.352117e+00 \n",
"8 3.123049e+00 6.246098e+00 1.249220e+01 6.246098e+00 1.249220e+01 \n",
"9 6.952928e+06 3.476464e+06 6.952928e+06 3.476464e+06 1.738232e+06 \n",
"10 3.280585e+04 1.640292e+04 3.280585e+04 6.561170e+04 3.280585e+04 \n",
"11 9.490954e-09 4.745477e-09 2.372739e-09 4.745477e-09 2.372739e-09 \n",
"12 6.593923e-03 3.296962e-03 6.593923e-03 3.296962e-03 6.593923e-03 \n",
"13 2.476357e+01 1.238179e+01 6.190893e+00 1.238179e+01 2.476357e+01 \n",
"14 2.998335e-03 1.499168e-03 2.998335e-03 5.996671e-03 2.998335e-03 \n",
"15 8.791681e-01 1.758336e+00 3.516673e+00 7.033345e+00 3.516673e+00 \n",
"16 6.122175e-02 1.224435e-01 6.122175e-02 1.224435e-01 6.122175e-02 \n",
"17 1.626432e-01 3.252864e-01 1.626432e-01 8.132161e-02 1.626432e-01 \n",
"18 2.275695e+00 1.137847e+00 5.689237e-01 1.137847e+00 2.275695e+00 \n",
"19 2.234922e+02 1.117461e+02 5.587304e+01 2.793652e+01 1.396826e+01 \n",
"20 2.281801e+02 4.563602e+02 2.281801e+02 4.563602e+02 2.281801e+02 \n",
"21 3.735347e-05 1.867674e-05 3.735347e-05 7.470695e-05 1.494139e-04 \n",
"22 2.860208e+00 1.430104e+00 7.150520e-01 3.575260e-01 7.150520e-01 \n",
"23 3.681458e-04 1.840729e-04 9.203645e-05 4.601822e-05 2.300911e-05 \n",
"24 6.782479e-03 1.356496e-02 6.782479e-03 3.391240e-03 1.695620e-03 \n",
"25 2.418985e-02 4.837971e-02 2.418985e-02 4.837971e-02 9.675942e-02 \n",
"26 8.826325e-01 1.765265e+00 3.530530e+00 7.061060e+00 1.412212e+01 \n",
"27 9.992115e-01 1.998423e+00 3.996846e+00 1.998423e+00 3.996846e+00 \n",
"28 1.498171e-01 7.490854e-02 3.745427e-02 1.872714e-02 3.745427e-02 \n",
"29 4.420809e-02 2.210404e-02 1.105202e-02 5.526011e-03 1.105202e-02 \n",
".. ... ... ... ... ... \n",
"70 6.089332e-01 1.217866e+00 6.089332e-01 1.217866e+00 2.435733e+00 \n",
"71 4.699476e+00 9.398953e+00 4.699476e+00 9.398953e+00 1.879791e+01 \n",
"72 5.803425e-02 1.160685e-01 2.321370e-01 1.160685e-01 5.803425e-02 \n",
"73 1.003882e+01 2.007764e+01 4.015529e+01 8.031057e+01 4.015529e+01 \n",
"74 1.079358e+02 2.158716e+02 1.079358e+02 5.396791e+01 1.079358e+02 \n",
"75 6.239071e-02 1.247814e-01 6.239071e-02 3.119535e-02 1.559768e-02 \n",
"76 1.389228e-04 6.946138e-05 1.389228e-04 6.946138e-05 1.389228e-04 \n",
"77 4.413393e+01 2.206697e+01 4.413393e+01 8.826786e+01 4.413393e+01 \n",
"78 1.669815e-03 8.349076e-04 4.174538e-04 2.087269e-04 4.174538e-04 \n",
"79 3.409617e-06 1.704808e-06 3.409617e-06 1.704808e-06 3.409617e-06 \n",
"80 1.607626e+02 8.038132e+01 1.607626e+02 3.215253e+02 1.607626e+02 \n",
"81 2.944817e-02 5.889634e-02 2.944817e-02 1.472409e-02 2.944817e-02 \n",
"82 7.968227e-01 1.593645e+00 3.187291e+00 1.593645e+00 3.187291e+00 \n",
"83 2.435120e-01 1.217560e-01 2.435120e-01 1.217560e-01 6.087799e-02 \n",
"84 3.080000e-02 1.540000e-02 7.699999e-03 3.850000e-03 1.925000e-03 \n",
"85 5.171059e-06 1.034212e-05 5.171059e-06 2.585530e-06 5.171059e-06 \n",
"86 2.543549e+02 5.087098e+02 1.017420e+03 5.087098e+02 1.017420e+03 \n",
"87 3.566832e-06 1.783416e-06 3.566832e-06 1.783416e-06 8.917079e-07 \n",
"88 3.613430e-03 7.226861e-03 1.445372e-02 2.890744e-02 1.445372e-02 \n",
"89 1.530595e+03 3.061189e+03 6.122378e+03 1.224476e+04 6.122378e+03 \n",
"90 5.769445e-01 1.153889e+00 5.769445e-01 1.153889e+00 5.769445e-01 \n",
"91 1.821981e-04 3.643963e-04 7.287925e-04 1.457585e-03 2.915170e-03 \n",
"92 3.894573e-02 7.789146e-02 3.894573e-02 1.947286e-02 9.736432e-03 \n",
"93 2.064897e-03 1.032448e-03 5.162241e-04 2.581121e-04 1.290560e-04 \n",
"94 7.430544e-03 3.715272e-03 7.430544e-03 3.715272e-03 7.430544e-03 \n",
"95 6.508624e-04 3.254312e-04 6.508624e-04 1.301725e-03 6.508624e-04 \n",
"96 1.101213e+04 5.506065e+03 1.101213e+04 5.506065e+03 1.101213e+04 \n",
"97 3.509829e-03 7.019657e-03 3.509829e-03 1.754914e-03 3.509829e-03 \n",
"98 4.715091e-05 9.430182e-05 4.715091e-05 9.430182e-05 1.886036e-04 \n",
"99 1.820559e+04 9.102795e+03 4.551398e+03 9.102795e+03 1.820559e+04 \n",
"\n",
" 97 98 99 \n",
"0 6.355922e-03 1.271184e-02 6.355922e-03 \n",
"1 6.177531e-03 3.088765e-03 1.544383e-03 \n",
"2 9.308375e-01 4.654188e-01 2.327094e-01 \n",
"3 3.952665e+04 7.905331e+04 3.952665e+04 \n",
"4 5.701483e+00 2.850741e+00 1.425371e+00 \n",
"5 5.270066e-07 1.054013e-06 2.108026e-06 \n",
"6 2.752857e-02 1.376429e-02 6.882143e-03 \n",
"7 8.704234e+00 1.740847e+01 3.481694e+01 \n",
"8 6.246098e+00 1.249220e+01 2.498439e+01 \n",
"9 8.691160e+05 4.345580e+05 8.691160e+05 \n",
"10 6.561170e+04 1.312234e+05 2.624468e+05 \n",
"11 4.745477e-09 2.372739e-09 1.186369e-09 \n",
"12 3.296962e-03 6.593923e-03 1.318785e-02 \n",
"13 4.952715e+01 2.476357e+01 1.238179e+01 \n",
"14 1.499168e-03 7.495838e-04 3.747919e-04 \n",
"15 1.758336e+00 3.516673e+00 1.758336e+00 \n",
"16 1.224435e-01 6.122175e-02 3.061087e-02 \n",
"17 3.252864e-01 1.626432e-01 3.252864e-01 \n",
"18 1.137847e+00 5.689237e-01 1.137847e+00 \n",
"19 6.984130e+00 1.396826e+01 2.793652e+01 \n",
"20 1.140900e+02 5.704502e+01 2.852251e+01 \n",
"21 2.988278e-04 5.976556e-04 2.988278e-04 \n",
"22 1.430104e+00 7.150520e-01 1.430104e+00 \n",
"23 4.601822e-05 2.300911e-05 4.601822e-05 \n",
"24 8.478099e-04 1.695620e-03 8.478099e-04 \n",
"25 1.935188e-01 9.675942e-02 1.935188e-01 \n",
"26 2.824424e+01 1.412212e+01 7.061060e+00 \n",
"27 7.993692e+00 1.598738e+01 3.197477e+01 \n",
"28 7.490854e-02 3.745427e-02 1.872714e-02 \n",
"29 2.210404e-02 1.105202e-02 2.210404e-02 \n",
".. ... ... ... \n",
"70 4.871465e+00 2.435733e+00 1.217866e+00 \n",
"71 3.759581e+01 1.879791e+01 9.398953e+00 \n",
"72 2.901713e-02 1.450856e-02 2.901713e-02 \n",
"73 8.031057e+01 4.015529e+01 2.007764e+01 \n",
"74 5.396791e+01 1.079358e+02 2.158716e+02 \n",
"75 3.119535e-02 1.559768e-02 3.119535e-02 \n",
"76 2.778455e-04 5.556911e-04 1.111382e-03 \n",
"77 8.826786e+01 4.413393e+01 8.826786e+01 \n",
"78 8.349076e-04 4.174538e-04 2.087269e-04 \n",
"79 6.819234e-06 3.409617e-06 6.819234e-06 \n",
"80 8.038132e+01 1.607626e+02 8.038132e+01 \n",
"81 5.889634e-02 2.944817e-02 5.889634e-02 \n",
"82 1.593645e+00 7.968227e-01 3.984113e-01 \n",
"83 1.217560e-01 2.435120e-01 4.870239e-01 \n",
"84 9.624999e-04 4.812499e-04 2.406250e-04 \n",
"85 2.585530e-06 5.171059e-06 1.034212e-05 \n",
"86 2.034839e+03 4.069678e+03 8.139356e+03 \n",
"87 4.458540e-07 2.229270e-07 1.114635e-07 \n",
"88 7.226861e-03 3.613430e-03 1.806715e-03 \n",
"89 1.224476e+04 2.448951e+04 4.897902e+04 \n",
"90 2.884723e-01 1.442361e-01 7.211806e-02 \n",
"91 5.830340e-03 2.915170e-03 5.830340e-03 \n",
"92 1.947286e-02 3.894573e-02 7.789146e-02 \n",
"93 6.452802e-05 1.290560e-04 2.581121e-04 \n",
"94 3.715272e-03 1.857636e-03 9.288179e-04 \n",
"95 3.254312e-04 6.508624e-04 1.301725e-03 \n",
"96 2.202426e+04 1.101213e+04 5.506065e+03 \n",
"97 7.019657e-03 1.403931e-02 2.807863e-02 \n",
"98 9.430182e-05 1.886036e-04 9.430182e-05 \n",
"99 9.102795e+03 1.820559e+04 3.641118e+04 \n",
"\n",
"[100 rows x 100 columns]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = pd.DataFrame(runs) # for convenient display and column fetching\n",
"df"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([10., 10., 8., 10., 12., 7., 10., 10., 15., 8.]),\n",
" array([0.01077489, 0.10961855, 0.20846222, 0.30730588, 0.40614955,\n",
" 0.50499321, 0.60383688, 0.70268054, 0.80152421, 0.90036787,\n",
" 0.99921154]),\n",
" <a list of 10 Patch objects>)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plot player's funds at start of game\n",
"plt.hist(df[0])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([93., 4., 0., 0., 0., 0., 0., 0., 1., 1., 0., 0., 0.,\n",
" 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,\n",
" 0., 0., 0., 1.]),\n",
" array([1.18636926e-09, 2.89705323e+04, 5.79410646e+04, 8.69115969e+04,\n",
" 1.15882129e+05, 1.44852662e+05, 1.73823194e+05, 2.02793726e+05,\n",
" 2.31764258e+05, 2.60734791e+05, 2.89705323e+05, 3.18675855e+05,\n",
" 3.47646388e+05, 3.76616920e+05, 4.05587452e+05, 4.34557985e+05,\n",
" 4.63528517e+05, 4.92499049e+05, 5.21469581e+05, 5.50440114e+05,\n",
" 5.79410646e+05, 6.08381178e+05, 6.37351711e+05, 6.66322243e+05,\n",
" 6.95292775e+05, 7.24263308e+05, 7.53233840e+05, 7.82204372e+05,\n",
" 8.11174904e+05, 8.40145437e+05, 8.69115969e+05]),\n",
" <a list of 30 Patch objects>)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plot players funds at end of game (log scale)\n",
"plt.hist(df[99], bins=30)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"51.46597570926389"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sum(df[0]) # starting sum of all player's money"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1558163.9383874894"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sum(df[99]) # final sum of all player's money (so much money!!)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.5"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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