From 91e9e083779fc558d69a70d2df05122d7a90fbc6 Mon Sep 17 00:00:00 2001 From: Roger Labbe Date: Wed, 18 Jan 2017 10:59:43 -0800 Subject: [PATCH] Removed #reset from magic I was using comment to detect which %matplotlib inline to comment out to generate the PDF but it generates a UsageError. I need to make my script smarter instead. The problem is that I don't want to remove the first inline definition --- 01-g-h-filter.ipynb | 14 +------------- 02-Discrete-Bayes.ipynb | 42 ++++++++++++++++++++--------------------- 2 files changed, 22 insertions(+), 34 deletions(-) diff --git a/01-g-h-filter.ipynb b/01-g-h-filter.ipynb index da0d925..c8c745e 100644 --- a/01-g-h-filter.ipynb +++ b/01-g-h-filter.ipynb @@ -377,7 +377,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -5141,18 +5141,6 @@ "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" - }, - "widgets": { - "state": { - "93f4411da7ea42738e12c0ac83448a20": { - "views": [ - { - "cell_index": 121 - } - ] - } - }, - "version": "1.2.0" } }, "nbformat": 4, diff --git a/02-Discrete-Bayes.ipynb b/02-Discrete-Bayes.ipynb index a2f7c74..942067a 100644 --- a/02-Discrete-Bayes.ipynb +++ b/02-Discrete-Bayes.ipynb @@ -399,7 +399,7 @@ "data": { "image/png": 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xol+/frWWfe2115S6NWvWLPHTTz8pj42aF9W1lqOyslI8/PDDSv3p2bOnWL16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\n46qmaZg9ezZEBFVVVbpl6ezFF1/E0aNH8de//hUGg8EpGVz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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1638,7 +1638,7 @@ " time.sleep(0.05)\n", " \n", "# reset to noninteractive plot settings\n", - "%matplotlib inline #reset\n", + "%matplotlib inline\n", "set_figsize(y=2);" ] }, @@ -1702,7 +1702,7 @@ "data": { "image/png": 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1jH0KeCgz31RBnscB24FXZObnWsa/AfxTZv7RqDOpM2tV76xVHTNUXqvKHLWp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\nkiRJjff/AZDzzyWhfXvTAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2584,7 +2584,7 @@ "print('Final Belief:', belief)\n", "\n", "# reset to noninteractive plot settings\n", - "%matplotlib inline #reset\n", + "%matplotlib inline\n", "set_figsize(y=2)" ] }, @@ -2674,7 +2674,7 @@ "data": { "image/png": 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OZGNjA6lUCgcHB0ilUkilUtjb2wtf+qtUKuG/6p+amhqUlpYKP63pxt6pUyeI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\nWCzG4XAYLy8vf3wE9ePjY+x2u7FarYQIftCPXO2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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -3805,7 +3805,7 @@ " fig.canvas.draw()\n", " time.sleep(sleep)\n", " plt.show()\n", - " %matplotlib inline #reset\n", + " %matplotlib inline\n", " set_figsize(y=2)\n", " print('Final posterior:', pos)\n", " \n", @@ -5449,7 +5449,7 @@ "data": { "image/png": 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2zpamzNmg3PmcLY2zpWlXtqGhoba0k+u7OgeD8TnoBGdL42xpnC3NoGQrWusKdfIiYlzS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YmZ2uSvOT+t+HUhWcgcttTxS9GnhzRNwNvJ1qKEWnwi1J2zNr1S9Z\nq7Qk2PioRA+v/31ufesk2boYzLi508wRMQF8h2o4wxXAeVSXYN5CdWTij6nGKi/UBHBHdjhhMzOn\nIuI2YPcOy93VYRp1PoBlA8jWqzOoislBbdNnjuhM0NnM9NkekyQ1gbXql0qsVdI2bHxUopk/rN+a\nmX/fw3JzfZfBG6gOh5/QvtcoIp5KVUwGYSPwsIhYlplTrXdExDKqq6FtGtC2hu3W+t/2on0dsB/w\nOKox7A+oH+PeVEXwx0hSc1mryjBbrZK24Tk+GpWZD9pOe4cuq/99+gC392tUheZ/d7jvmbMsM1fG\n2XyP6n3Vac/TM+p1XdnD+kZpZhhHewPzJarhG8/vsMwzqL4o7xvpFd0kLX3WqvLNVqukbdj4aFRu\nr/9d1X5HZl5JdVnQ34+IozotHBFPjIhOh+FncwPVH+vPbFvPvsC76Lz3bdaMczin3s6JEfGglu08\nCPjrejvtlzYdmYh4QqeTUSPi0cDfU+VtvzzpvwK3Aa+MiP1altkR+J/1Mh8eUmRJWkzWqgL0Wauk\nbTjUTaNyCfAnwFkR8SlgM9U3Mp9W3//qep6zIuItwOVUY4t/ler7ClZT7eW5tWWdc3179fn19k6J\niGcDPwQeS/VdC58CXtlHxm1k5scj4lCq7zVYFxGfpvpAfinV8IVPZOYn5si5IBHxeOBP623OPB8P\njYiPtMz29sy8o/7/4cDbI+JrwH9TPcZfA15ENY78P4CTWreRmZsj4g1U3+HwlYj4BNUY9JdQDX/7\nZPsVjiRpibJWDcFi1Kp6O+8EnlD/+Fv1to6OiJmjdJfmtt+zpCYb9fW0vTX7RnWC5hRwdof7/hhY\nB9xbz/Pjtvt3odrD9W2qscZ3U12v/zPAMWz93QNH1us4Yo4sTwA+TXVS6eZ6vUf1m5HquxG2zLKt\nY6lOTP15ffs2cOws804Bl8xy30eozpfp+P0MHeZ/Btt+z0Hrbat1UQ1z+Ceqq+PcQfWldBuovpz0\nNfNs6wDg36n2Nt4NrAXeQsv3O3jz5s3bUrhZq5pZq+rHPtd2zukmr7fm3KL+xZAkSZKkxur5HJ+I\neHpEXBgRN0bEdES8pItlnhkRV0bELyLiBxFxZH9xJUman7VKktSun4sb7AJcBbyZ2S/H+ID6xLN/\npxqDugY4hWoc6mzXvJckaaGsVZKkrSxoqFtETAMvzcwL55jn/cALMvNJLdM+Dkxk5gtb5924ceMy\nqpP4Wt1BF0VLkjRQATysbdoPJyYmpjrNXDJrlSQ1Vk+1ajGu6vZU4OK2aRcBH+ww72OBa4aeSJLU\nj32Aa0cdYkisVZLUDLPWqsX4Hp89qK680WoDsKL+3g9JkkbNWiVJDecXmEqSJElqvMVofG4GVrZN\nWwlsysz7FmH7kiTNx1olSQ23GOf4fAt4Qdu059XT293RPmGXXXZhbKy7/mzdunVs2bKF5cuXs3r1\n6p6DDlpJeUrKUlqekrKUlqekLOZZ3CzT09Pcfffd7ZO3+YxuEGtVAXlKylJanpKymGfpZCktz6hr\nVc+NT0TsAvw61VUUAB4TEWuAOzLzJxFxIvDIzJz5/oMzgOPqK+acAxwMHAa8kG1tc0WcsbGxrovJ\n9PQ0U1NTPS0zTCXlKSlLaXlKylJanpKymKeILEvmqmXWqu6VlKekLKXlKSmLeZZOltLyjLpW9bPF\npwDfA66sV3wS8F3gvfX9ewB7PbDlzBuAFwHPofpOheOBYzKz/eo5kiQNirVKkrSVno/4ZOZXmaNh\nysyjOkz7GrBfr9uSJKkf1ipJUrvRH3+TJEmSpCGz8ZEkSZLUeDY+kiRJkhrPxkeSJElS49n4SJIk\nSWo8Gx9JkiRJjWfjI0mSJKnxbHwkSZIkNV7PX2AqSZK2dt2GjUx3Oe/UipWMkUwRrLvpzp62s2KH\nZez18BW9B5Qk2fhIkrRQb/ra7Wy8P/tYcnNPc3/sObv1sQ1JEjjUTZIkSdJ2wCM+0nbiJ7dvYtP9\nUz0ts5AhOeCwHEmSVA4bH2k7sen+KV578W0LWENvQ3LAYTmSJKkcDnWTJEmS1Hg2PpIkSZIaz8ZH\nkiRJUuPZ+EiSJElqPBsfSZIkSY1n4yNJkiSp8Wx8JEmSJDWejY8kSZKkxrPxkSRJktR4Nj6SJEmS\nGq+vxicijouI6yPi3oi4LCL2n2f+10TEVRFxd0T8LCLOjoiH9RdZkqT5WaskSa16bnwi4nDgJOAE\nYF9gLXBRROw2y/xPA84D/hH4DeAw4LeBf+gzsyRJc7JWSZLa9XPE53jgzMw8PzOvBY4F7gGOnmX+\npwLXZ+ZpmfnfmflN4EyqgiJJ0jBYqyRJW+mp8YmIcWA/4JKZaZmZwMXAAbMs9i1gr4h4Qb2OlcAr\ngP/oJ7AkSXOxVkmSOomqFnQ5c8SewI3AAZl5ecv09wMHZWbHghIRhwHnADsBy4ELgZdn5lTrfBs3\nbtwduKV12vr165menu4q3+Tk5AP/Hx8f72qZYSopT0lZoKw8JWWB4eWZWrGSYy7dPLD1dePsA3dl\n2aYNA1vf9vJa9WPQWcbGxli1alX75EdMTEzcuuCVD9koatWhn7+Vjfd3X0/7Nej3FDT793ihSspT\nUhYwz1xKygJl5Rl1rVq+4C3OIyJ+AzgFeA/wBWBP4G+phhC8fr7lt2zZwtTU1HyzbaP1iS1BSXlK\nygJl5SkpCww2zxjD/6NsWzm057TJr9VCDSLLsmXLBpBk6VhorVo8w3tPQfN+jweppDwlZQHzzKWk\nLFBWnlHUql4bn9uAKWBl2/SVwM2zLPMu4BuZeXL98/cj4s3A1yPizzJzzl1Xy5cvZ2ysuxF5JXW0\nUFaekrJAWXlKygJDPOJDDGxd3YuBPobt5bXqxzD2oi1hi16rFs9g31PQ7N/jhSopT0lZwDxzKSkL\nlJVn1LWqp8YnMycj4krgYKohAERE1D+fOstiOwP3t02bBhLm/0ts9erVXT+otWvXMjk5yfj4OGvW\nrOlqmWEqKU9JWUrLU1KWYeZZd9OdwOIOddtxpx1ZvffgHsP28lqVkGV6eprNmxf392VQRlGrFsug\n31PQ7N/jJuUpKYt5lk6W0vKMulb1s0vvZOANEXFERDwBOIOqYJwLEBEnRsR5LfN/Bnh5RBwbEXvX\nlww9Bbg8M2fb8yZJ0kJYqyRJW+n5HJ/MvKD+HoT3UQ0buAo4JDNnTiLaA9irZf7zIuLBwHFU46Xv\norrSzrsWmF2SpI6sVZKkdn1d3CAzTwdOn+W+ozpMOw04rZ9tSZLUD2uVJKnVkj57VZIkSZK6YeMj\nSZIkqfFsfCRJkiQ1no2PJEmSpMaz8ZEkSZLUeDY+kiRJkhrPxkeSJElS49n4SJIkSWo8Gx9JkiRJ\njWfjI0mSJKnxbHwkSZIkNZ6NjyRJkqTGs/GRJEmS1Hg2PpIkSZIaz8ZHkiRJUuPZ+EiSJElqPBsf\nSZIkSY1n4yNJkiSp8Wx8JEmSJDWejY8kSZKkxrPxkSRJktR4Nj6SJEmSGs/GR5IkSVLj9dX4RMRx\nEXF9RNwbEZdFxP7zzL9DRPxVRNwQEb+IiB9HxOv6SixJUhesVZKkVst7XSAiDgdOAt4IXAEcD1wU\nEY/LzNtmWeyTwO7AUcCPgD3xaJMkaUisVZKkdj03PlTF48zMPB8gIo4FXgQcDXygfeaIeD7wdOAx\nmXlXPXl9f3ElSeqKtUqStJWe9mRFxDiwH3DJzLTMTOBi4IBZFnsx8B3gnRHx04i4LiL+JiJ26jOz\nJEmzslZJkjqJqhZ0OXPEnsCNwAGZeXnL9PcDB2XmNgUlIj4HPBP4IvA+YDfgw8CXMvOY1nk3bty4\nO3BL67T169czPT3dVb7JyckH/j8+Pt7VMsNUUp6SskBZeUrKAsPLM7ViJcdcunlg6+vG2QfuyrJN\nGwa2vu3lterHoLOMjY2xatWq9smPmJiYuHXBKx+yUdSqQz9/Kxvv776e9mvQ7ylo9u/xQpWUp6Qs\nYJ65lJQFysoz6lrVz1C3Xo0B08CrM/PnABHxNuCTEfHmzLxvroW3bNnC1NRUzxttfWJLUFKekrJA\nWXlKygKDzTPG8P8o21YO7Tlt8mu1UIPIsmzZsgEkWVIWVKsWz/DeU9C83+NBKilPSVnAPHMpKQuU\nlWcUtarXxuc2YApY2TZ9JXDzLMvcBNw4U0hq1wAB/CrVCaSzB1y+nLGx7kbkldTRQll5SsoCZeUp\nKQsM8YgPMbB1dS8G+hi2l9eqH8PYi7aELXqtWjyDfU9Bs3+PF6qkPCVlAfPMpaQsUFaeUdeqnhqf\nzJyMiCuBg4ELASIi6p9PnWWxbwCHRcTOmXlPPe3xVHvWfjrfNlevXt31g1q7di2Tk5OMj4+zZs2a\nrpYZppLylJSltDwlZRlmnnU33Qks7lC3HXfakdV7D+4xbC+vVQlZpqen2bx5cX9fBmUUtWqxDPo9\nBc3+PW5SnpKymGfpZCktz6hrVT+79E4G3hARR0TEE4AzgJ2BcwEi4sSIOK9l/n8Gbgc+EhH7RMRB\nVFfUObucoQOSpIaxVkmSttLzOT6ZeUFE7EZ18udK4CrgkMycOYloD2CvlvnvjojnAh8Cvk1VWP4F\nePcCs0uS1JG1SpLUrq+LG2Tm6cDps9x3VIdpPwAO6WdbkiT1w1olSWq1pM9elSRJkqRu2PhIkiRJ\najwbH0mSJEmNZ+MjSZIkqfFsfCRJkiQ1no2PJEmSpMaz8ZEkSZLUeDY+kiRJkhrPxkeSJElS49n4\nSJIkSWo8Gx9JkiRJjWfjI0mSJKnxbHwkSZIkNZ6NjyRJkqTGs/GRJEmS1Hg2PpIkSZIaz8ZHkiRJ\nUuPZ+EiSJElqPBsfSZIkSY1n4yNJkiSp8Wx8JEmSJDWejY8kSZKkxrPxkSRJktR4fTU+EXFcRFwf\nEfdGxGURsX+Xyz0tIiYj4rv9bFeSpG5ZqyRJrXpufCLicOAk4ARgX2AtcFFE7DbPchPAecDFfeSU\nJKlr1ipJUrt+jvgcD5yZmedn5rXAscA9wNHzLHcG8E/AZX1sU5KkXlirJElb6anxiYhxYD/gkplp\nmZlUe8YOmGO5o4C9gff2F1OSpO5YqyRJnURVC7qcOWJP4EbggMy8vGX6+4GDMnObghIRjwW+BhyY\nmT+KiBOAQzPzye3zbty4cXfgltZp69evZ3p6uqt8k5OTD/x/fHy8q2WGqaQ8JWWBsvKUlAWGl2dq\nxUqOuXTzwNbXjbMP3JVlmzYMbH3by2vVj0FnGRsbY9WqVe2THzExMXHrglc+ZKOoVYd+/lY23t99\nPe3XoN9T0Ozf44UqKU9JWcA8cykpC5SVZ9S1avmCtziHiBijGjJwQmb+aGZyL+vYsmULU1NTPW+7\n9YktQUl5SsoCZeUpKQsMNs8Yw/+jbFs5tOe0ya/VQg0iy7JlywaQZGkYRK1aPMN7T0Hzfo8HqaQ8\nJWUB88ylpCxQVp5R1KpeG5/bgClgZdv0lcDNHebfFXgK8FsRcVo9bQyIiLgfeF5mfmXOgMuXMzbW\n3Yi8kjpaKCtPSVmgrDwlZYEhHvEZyd9xMdDHsL28Vv0Yxl60JWzRa9XiGex7Cpr9e7xQJeUpKQuY\nZy4lZYGy8oy6VvXU+GTmZERcCRwMXAhVVah/PrXDIpuAJ7ZNOw54FvBy4Ib5trl69equH9TatWuZ\nnJxkfHycNWvWdLXMMJWUp6QspeUpKcsw86y76U5gcYe67bjTjqzee3CPYXt5rUrIMj09zebNi/v7\nMiijqFWLZdDvKWj273GT8pSUxTxLJ0tpeUZdq/oZ6nYycG5dVK6gunLOzsC5ABFxIvDIzDyyPpn0\n6taFI+IW4BeZeU0f25YkqRvWKknSVnpufDLzgvp7EN5HNWzgKuCQzJw5iWgPYK/BRZQkqTfWKklS\nu74ubpCZpwOnz3LfUfMs+168VKgkacisVZKkVkv67FVJkiRJ6oaNjyRJkqTGs/GRJEmS1Hg2PpIk\nSZIaz8ZHkiRJUuPZ+EiSJElqPBsfSZIkSY1n4yNJkiSp8Wx8JEmSJDWejY8kSZKkxrPxkSRJktR4\nNj6SJEmSGs/GR5IkSVLj2fhIkiRJajwbH0mSJEmNZ+MjSZIkqfFsfCRJkiQ1no2PJEmSpMaz8ZEk\nSZLUeDY+kiRJkhrPxkeSJElS49n4SPq/7d19kCR1fcfx93f3VozInSaYO0ig0IKIgdSFB7Wo8BDC\nU8QCJCGCaClBSTAkWhiLSCkhmjIYEh6NVJlCciAVLZKqJJBSwAMrKZ48OfQSgSMokAMCBwfUHoEL\nHLvf/NG9uMzN7M3sw/z6+t6vqqm66Zue/uzMdH/219PdK0mS1HoOfCRJkiS13qwGPhFxVkQ8HBGb\nIuKuiHjnDI89MSJujoinImI8Iu6IiKNnH1mSpK2zqyRJ0w088ImIk4GLgPOB/YA1wE0RsXOPWQ4F\nbgbeA+wPfBe4ISKWzyqxJElbYVdJkjrN5hufs4GvZuY1mbkWOBN4ETi924Mz8+zM/OvMXJ2ZP8nM\nzwIPAsfNOrUkSTOzqyRJrzHQwCcixoADgFumpmVmAiuBg/p8jgB2Ap4dZNmSJPXDrpIkdRNVF/T5\n4IhdgMeBgzLze9Om/yVwaGZutVAi4hzgHGDvzNww/f/Gx8ffAjw1fdq6deuYnJzsK9/mzZtf/ffY\n2Fhf8yykJuVpUhZoVp4mZYGFyzOxeCkfve35eXu+fnzt4J0Y3bh+3p5ve3mvZmO+s4yMjLD77rt3\nTv75JUuWPD3nJ19gJbrqhBufZvzl/vt0tuZ7nYJ2f47nqkl5mpQFzDOTJmWBZuUp3VWL5rzEAUTE\nqcB5wPGdRdLLK6+8wsTExMDLmv7CNkGT8jQpCzQrT5OywPzmGWHhfynbUi7Ya9rm92qu5iPL6Ojo\nPCTZNs2mq4Zn4dYpaN/neD41KU+TsoB5ZtKkLNCsPCW6atCBzwZgAljaMX0p8ORMM0bEKcDfAidl\n5nf7DrhoESMj/R2R16QRLTQrT5OyQLPyNCkLLOA3PsS8PVf/Yl5/hu3lvZqNhdiLtg0belcNz/yu\nU9Duz/FcNSlPk7KAeWbSpCzQrDylu2qggU9mbo6I1cARwPXw6nHQRwCX95ovIj4AXAmcnJk3DrLM\nffbZp+8fas2aNWzevJmxsTGWLy9/IZ4m5WlSlqblaVKWhcxz7xPPAcM91G2H1+/APm+dv59he3mv\nmpBlcnKS558f7udlvpToqmGZ73UK2v05blOeJmUxz7aTpWl5SnfVbA51uxhYUZfKKqor57wBWAEQ\nERcAu2bmR+r7p9b/9wng+xExtQduU2ZunMXyJUnaGrtKkvQaAw98MvO6+u8gfIHqsIEfAsdk5tRJ\nRKDoCTMAAAoMSURBVMuA3abNcgYwCnylvk25mh6XFZUkaS7sKklSp1ld3CAzrwCu6PF/v9tx//DZ\nLEOSpLmwqyRJ023TZ69KkiRJUj8c+EiSJElqPQc+kiRJklrPgY8kSZKk1nPgI0mSJKn1HPhIkiRJ\naj0HPpIkSZJaz4GPJEmSpNZz4CNJkiSp9Rz4SJIkSWo9Bz6SJEmSWs+BjyRJkqTWc+AjSZIkqfUc\n+EiSJElqPQc+kiRJklrPgY8kSZKk1nPgI0mSJKn1HPhIkiRJaj0HPpIkSZJaz4GPJEmSpNZz4CNJ\nkiSp9RaVDiC12aPPbGTjyxMDzTOxeCkjJBME9z7x3EDzLn7dKLv93OKB5pEkSdoeOPCRFtDGlyf4\n0MoNc3iG5wd69LVH7jyHZQ2Xg0Jpfs1mnQLXK0mzM+weh7lvc2Y18ImIs4BPA8uANcAfZeb3Z3j8\nrwMXAfsA64AvZubVs1m2pHZwUKiFtr111dzXKXC9ktSvYfc4zH2bM/A5PhFxMlUxnA/sR1UmN0VE\n1yQRsQfwr8AtwHLgMuDKiDhqdpElSZqZXSVJ6jSbb3zOBr6amdcARMSZwHuB04ELuzz+48BDmXlO\nff+BiDi4fp7vdDw2OmeenJzsO9jIyAijo6OMjIwMNN9CaVKeJmVpWp6FzDICLHndFh/rBTNC73Vm\n2FmalmemLLN+zhZ/jns8x3A/QHMz1K5aPDacl6ZJ69TW8szq+Rq0TjUtT5OymGfbybKQeZqwzRm0\nqyIz+15YRIwBLwK/nZnXT5u+AliSmSd2meffgNWZ+alp004DLsnMN09/7Pj4+N7A/X0HkiQN0zuW\nLFmytnSIrbGrJGm71rOrBj3UbWdgFFjfMX091THU3Szr8fjFEbHDgMuXJGlr7CpJ0hb8Oz6SJEmS\nWm/Qgc8GYAJY2jF9KfBkj3me7PH4jZn50oDLlyRpa+wqSdIWBrq4QWZujojVwBHA9QAREfX9y3vM\ndifwno5pR9fTOz0IvKNj2rNA/yciSZLmQwA/2zHtwRJBBmVXSdJ2Y6CuGujiBgAR8X5gBXAmsIrq\nijcnAXtn5tMRcQGwa2Z+pH78HsB/AlcAV1EVz6XAsZm5cqCFS5LUB7tKktRp4MtZZ+Z19d9B+ALV\nYQA/BI7JzKfrhywDdpv2+Eci4r3AJcAngMeAj1okkqSFYldJkjoN/I2PJEmSJG1rvKqbJEmSpNZz\n4CNJkiSp9Voz8ImIsyLi4YjYFBF3RcQ7C2Y5JCKuj4jHI2IyIo4vmOXciFgVERsjYn1E/FNE/FKh\nLGdGxJqIGK9vd0TEb5bI0k1EfKZ+vy4usOzz62VPv9037BwdmXaNiK9HxIaIeLF+7/YvlOXhLq/P\nZER8uUCWkYj484h4qH5dfhwRnxt2jo5Mb4yISyPikTrTbRFxYMlM6s6u6pnFrupTya6ql9+ovrKr\nemaxq7poxcAnIk4GLgLOB/YD1gA31Se2lrAj1Ym0f0D5y5seAnwZeDdwJDAG3BwRP1Mgy6PAnwD7\nAwcAtwL/EhGdl4UduvqXj9+j+uyU8iOqk7CX1beDSwWJiDcBtwMvAcdQXbr3j4HnCkU6kJ++LsuA\no6jWresKZPkM8PtU6/fewDnAORHxhwWyTPka1VXIPgjsC3wHWBkRuxTMpA521Yzsqj40pKugIX1l\nV83IruqiFRc3iIi7gO9l5ifr+0G14bo8My8snG0SeF9mXl8yx5S6YJ8CDs3M2xqQ5xng05n5dwUz\nvBFYDXwcOA/4QWZ+asgZzgdOyMwie6k6RcSXgIMy87DSWbqJiKnLDA99j3BE3AA8mZlnTJv2j8CL\nmfnhAnleDzwPHJeZN06bfjfwrcz802FnUnd2Vf/sqq4ZindVnaMxfWVXzbhsu6qLbf4bn4gYo9oj\nc8vUtKxGcyuBg0rlarA3Ue19eLZkiPor2FOAN9D9DwQO01eAGzLz1sI59qoPOflJRFwbEbttfZYF\ncxxwd0RcVx92ck9EfKxgnlfV6/wHqfYclXAHcERE7FXnWQ78GvCtQnkWAaNUezyn20TBbw31WnbV\nwOyqLTWlq6A5fWVX9WZX9QixrduZ6oVc3zF9PfD24cdprnrv4qXAbZlZ5HjciNiXqjymRv4nZuba\nElnqPKcAv0r19XRJdwGnAQ8AuwB/Bvx7ROybmS8UyPM2qr2KFwFfBN4FXB4RL2Xm1wvkme5EYAlw\ndaHlfwlYDKyNiAmqHUifzcxvlgiTmf8bEXcC50XEWqpt36lUv0z3/OvVGjq7qk92Vdc8TekqaFZf\n2VW92VVdtGHgo/5dAfwy1Yi/lLXAcqqNwUnANRFxaIlCiYhfpCrXIzNz87CXP11m3jTt7o8iYhXw\n38D7gRKHVowAqzLzvPr+mvoXgTOB0mVyOvDtzHy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