From fbd2655dc33f41135223994bfb191c725c5ad40d Mon Sep 17 00:00:00 2001
From: Roger Labbe <rlabbejr@gmail.com>
Date: Sat, 14 Jan 2017 09:05:00 -0800
Subject: [PATCH] Typo fix.

---
 02-Discrete-Bayes.ipynb | 83 +++++++++++++++--------------------------
 1 file changed, 31 insertions(+), 52 deletions(-)

diff --git a/02-Discrete-Bayes.ipynb b/02-Discrete-Bayes.ipynb
index 62cfb26..e00170e 100644
--- a/02-Discrete-Bayes.ipynb
+++ b/02-Discrete-Bayes.ipynb
@@ -16,7 +16,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 1,
    "metadata": {
     "collapsed": false
    },
@@ -289,7 +289,7 @@
        "<IPython.core.display.HTML object>"
       ]
      },
-     "execution_count": 3,
+     "execution_count": 1,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -327,14 +327,14 @@
     "\n",
     "To keep the problem small enough to plot easily we will assume that there are only 10 positions in the hallway, which we will number 0 to 9, where 1 is to the right of 0. For reasons that will be clear later, we will also assume that the hallway is circular or rectangular. If you move right from position 9, you will be at position 0.  \n",
     "\n",
-    "When I begin listening to the sensor I have no reason to believe that Simon is at any particular position in the hallway. From my perspective he is equally likely to be in any position. Their are 10 positions, so the probability that he is in any given position is 1/10. \n",
+    "When I begin listening to the sensor I have no reason to believe that Simon is at any particular position in the hallway. From my perspective he is equally likely to be in any position. There are 10 positions, so the probability that he is in any given position is 1/10. \n",
     "\n",
     "Let's represent our belief of his position in a NumPy array. I could use a Python list, but NumPy arrays offer functionality that we will be using soon."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 2,
    "metadata": {
     "collapsed": false
    },
@@ -372,7 +372,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 3,
    "metadata": {
     "collapsed": false
    },
@@ -390,7 +390,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 4,
    "metadata": {
     "collapsed": false
    },
@@ -1162,7 +1162,7 @@
     {
      "data": {
       "text/html": [
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\">"
+       "<img src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAFACAYAAACV2UtCAAASdklEQVR4Xu3WoREAAAjEMNh/aVagPuhXOUR3HAECBAgQIECAAAECb4F9Lw0JECBAgAABAgQIEBgB7QkIECBAgAABAgQIBAEBHbBMCRAgQIAAAQIECAhoP0CAAAECBAgQIEAgCAjogGVKgAABAgQIECBAQED7AQIECBAgQIAAAQJBQEAHLFMCBAgQIECAAAECAtoPECBAgAABAgQIEAgCAjpgmRIgQIAAAQIECBAQ0H6AAAECBAgQIECAQBAQ0AHLlAABAgQIECBAgICA9gMECBAgQIAAAQIEgoCADlimBAgQIECAAAECBAS0HyBAgAABAgQIECAQBAR0wDIlQIAAAQIECBAgIKD9AAECBAgQIECAAIEgIKADlikBAgQIECBAgAABAe0HCBAgQIAAAQIECAQBAR2wTAkQIECAAAECBAgIaD9AgAABAgQIECBAIAgI6IBlSoAAAQIECBAgQEBA+wECBAgQIECAAAECQUBAByxTAgQIECBAgAABAgLaDxAgQIAAAQIECBAIAgI6YJkSIECAAAECBAgQENB+gAABAgQIECBAgEAQENABy5QAAQIECBAgQICAgPYDBAgQIECAAAECBIKAgA5YpgQIECBAgAABAgQEtB8gQIAAAQIECBAgEAQEdMAyJUCAAAECBAgQICCg/QABAgQIECBAgACBICCgA5YpAQIECBAgQIAAAQHtBwgQIECAAAECBAgEAQEdsEwJECBAgAABAgQICGg/QIAAAQIECBAgQCAICOiAZUqAAAECBAgQIEBAQPsBAgQIECBAgAABAkFAQAcsUwIECBAgQIAAAQIC2g8QIECAAAECBAgQCAICOmCZEiBAgAABAgQIEBDQfoAAAQIECBAgQIBAEBDQAcuUAAECBAgQIECAgID2AwQIECBAgAABAgSCgIAOWKYECBAgQIAAAQIEBLQfIECAAAECBAgQIBAEBHTAMiVAgAABAgQIECAgoP0AAQIECBAgQIAAgSAgoAOWKQECBAgQIECAAAEB7QcIECBAgAABAgQIBAEBHbBMCRAgQIAAAQIECAhoP0CAAAECBAgQIEAgCAjogGVKgAABAgQIECBAQED7AQIECBAgQIAAAQJBQEAHLFMCBAgQIECAAAECAtoPECBAgAABAgQIEAgCAjpgmRIgQIAAAQIECBAQ0H6AAAECBAgQIECAQBAQ0AHLlAABAgQIECBAgICA9gMECBAgQIAAAQIEgoCADlimBAgQIECAAAECBAS0HyBAgAABAgQIECAQBAR0wDIlQIAAAQIECBAgIKD9AAECBAgQIECAAIEgIKADlikBAgQIECBAgAABAe0HCBAgQIAAAQIECAQBAR2wTAkQIECAAAECBAgIaD9AgAABAgQIECBAIAgI6IBlSoAAAQIECBAgQEBA+wECBAgQIECAAAECQUBAByxTAgQIECBAgAABAgLaDxAgQIAAAQIECBAIAgI6YJkSIECAAAECBAgQENB+gAABAgQIECBAgEAQENABy5QAAQIECBAgQICAgPYDBAgQIECAAAECBIKAgA5YpgQIECBAgAABAgQEtB8gQIAAAQIECBAgEAQEdMAyJUCAAAECBAgQICCg/QABAgQIECBAgACBICCgA5YpAQIECBAgQIAAAQHtBwgQIECAAAECBAgEAQEdsEwJECBAgAABAgQICGg/QIAAAQIECBAgQCAICOiAZUqAAAECBAgQIEBAQPsBAgQIECBAgAABAkFAQAcsUwIECBAgQIAAAQIC2g8QIECAAAECBAgQCAICOmCZEiBAgAABAgQIEBDQfoAAAQIECBAgQIBAEBDQAcuUAAECBAgQIECAgID2AwQIECBAgAABAgSCgIAOWKYECBAgQIAAAQIEBLQfIECAAAECBAgQIBAEBHTAMiVAgAABAgQIECAgoP0AAQIECBAgQIAAgSAgoAOWKQECBAgQIECAAAEB7QcIECBAgAABAgQIBAEBHbBMCRAgQIAAAQIECAhoP0CAAAECBAgQIEAgCAjogGVKgAABAgQIECBAQED7AQIECBAgQIAAAQJBQEAHLFMCBAgQIECAAAECAtoPECBAgAABAgQIEAgCAjpgmRIgQIAAAQIECBAQ0H6AAAECBAgQIECAQBAQ0AHLlAABAgQIECBAgICA9gMECBAgQIAAAQIEgoCADlimBAgQIECAAAECBAS0HyBAgAABAgQIECAQBAR0wDIlQIAAAQIECBAgIKD9AAECBAgQIECAAIEgIKADlikBAgQIECBAgAABAe0HCBAgQIAAAQIECAQBAR2wTAkQIECAAAECBAgIaD9AgAABAgQIECBAIAgI6IBlSoAAAQIECBAgQEBA+wECBAgQIECAAAECQUBAByxTAgQIECBAgAABAgLaDxAgQIAAAQIECBAIAgI6YJkSIECAAAECBAgQENB+gAABAgQIECBAgEAQENABy5QAAQIECBAgQICAgPYDBAgQIECAAAECBIKAgA5YpgQIECBAgAABAgQEtB8gQIAAAQIECBAgEAQEdMAyJUCAAAECBAgQICCg/QABAgQIECBAgACBICCgA5YpAQIECBAgQIAAAQHtBwgQIECAAAECBAgEAQEdsEwJECBAgAABAgQICGg/QIAAAQIECBAgQCAICOiAZUqAAAECBAgQIEBAQPsBAgQIECBAgAABAkFAQAcsUwIECBAgQIAAAQIC2g8QIECAAAECBAgQCAICOmCZEiBAgAABAgQIEBDQfoAAAQIECBAgQIBAEBDQAcuUAAECBAgQIECAgID2AwQIECBAgAABAgSCgIAOWKYECBAgQIAAAQIEBLQfIECAAAECBAgQIBAEBHTAMiVAgAABAgQIECAgoP0AAQIECBAgQIAAgSAgoAOWKQECBAgQIECAAAEB7QcIECBAgAABAgQIBAEBHbBMCRAgQIAAAQIECAhoP0CAAAECBAgQIEAgCAjogGVKgAABAgQIECBAQED7AQIECBAgQIAAAQJBQEAHLFMCBAgQIECAAAECAtoPECBAgAABAgQIEAgCAjpgmRIgQIAAAQIECBAQ0H6AAAECBAgQIECAQBAQ0AHLlAABAgQIECBAgICA9gMECBAgQIAAAQIEgoCADlimBAgQIECAAAECBAS0HyBAgAABAgQIECAQBAR0wDIlQIAAAQIECBAgIKD9AAECBAgQIECAAIEgIKADlikBAgQIECBAgAABAe0HCBAgQIAAAQIECAQBAR2wTAkQIECAAAECBAgIaD9AgAABAgQIECBAIAgI6IBlSoAAAQIECBAgQEBA+wECBAgQIECAAAECQUBAByxTAgQIECBAgAABAgLaDxAgQIAAAQIECBAIAgI6YJkSIECAAAECBAgQENB+gAABAgQIECBAgEAQENABy5QAAQIECBAgQICAgPYDBAgQIECAAAECBIKAgA5YpgQIECBAgAABAgQEtB8gQIAAAQIECBAgEAQEdMAyJUCAAAECBAgQICCg/QABAgQIECBAgACBICCgA5YpAQIECBAgQIAAAQHtBwgQIECAAAECBAgEAQEdsEwJECBAgAABAgQICGg/QIAAAQIECBAgQCAICOiAZUqAAAECBAgQIEBAQPsBAgQIECBAgAABAkFAQAcsUwIECBAgQIAAAQIC2g8QIECAAAECBAgQCAICOmCZEiBAgAABAgQIEBDQfoAAAQIECBAgQIBAEBDQAcuUAAECBAgQIECAgID2AwQIECBAgAABAgSCgIAOWKYECBAgQIAAAQIEBLQfIECAAAECBAgQIBAEBHTAMiVAgAABAgQIECAgoP0AAQIECBAgQIAAgSAgoAOWKQECBAgQIECAAAEB7QcIECBAgAABAgQIBAEBHbBMCRAgQIAAAQIECAhoP0CAAAECBAgQIEAgCAjogGVKgAABAgQIECBAQED7AQIECBAgQIAAAQJBQEAHLFMCBAgQIECAAAECAtoPECBAgAABAgQIEAgCAjpgmRIgQIAAAQIECBAQ0H6AAAECBAgQIECAQBAQ0AHLlAABAgQIECBAgICA9gMECBAgQIAAAQIEgoCADlimBAgQIECAAAECBAS0HyBAgAABAgQIECAQBAR0wDIlQIAAAQIECBAgIKD9AAECBAgQIECAAIEgIKADlikBAgQIECBAgAABAe0HCBAgQIAAAQIECAQBAR2wTAkQIECAAAECBAgIaD9AgAABAgQIECBAIAgI6IBlSoAAAQIECBAgQEBA+wECBAgQIECAAAECQUBAByxTAgQIECBAgAABAgLaDxAgQIAAAQIECBAIAgI6YJkSIECAAAECBAgQENB+gAABAgQIECBAgEAQENABy5QAAQIECBAgQICAgPYDBAgQIECAAAECBIKAgA5YpgQIECBAgAABAgQEtB8gQIAAAQIECBAgEAQEdMAyJUCAAAECBAgQICCg/QABAgQIECBAgACBICCgA5YpAQIECBAgQIAAAQHtBwgQIECAAAECBAgEAQEdsEwJECBAgAABAgQICGg/QIAAAQIECBAgQCAICOiAZUqAAAECBAgQIEBAQPsBAgQIECBAgAABAkFAQAcsUwIECBAgQIAAAQIC2g8QIECAAAECBAgQCAICOmCZEiBAgAABAgQIEBDQfoAAAQIECBAgQIBAEBDQAcuUAAECBAgQIECAgID2AwQIECBAgAABAgSCgIAOWKYECBAgQIAAAQIEBLQfIECAAAECBAgQIBAEBHTAMiVAgAABAgQIECAgoP0AAQIECBAgQIAAgSAgoAOWKQECBAgQIECAAAEB7QcIECBAgAABAgQIBAEBHbBMCRAgQIAAAQIECAhoP0CAAAECBAgQIEAgCAjogGVKgAABAgQIECBAQED7AQIECBAgQIAAAQJBQEAHLFMCBAgQIECAAAECAtoPECBAgAABAgQIEAgCAjpgmRIgQIAA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       ],
       "text/plain": [
        "<IPython.core.display.HTML object>"
@@ -1201,7 +1201,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 5,
    "metadata": {
     "collapsed": false
    },
@@ -1237,7 +1237,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 6,
    "metadata": {
     "collapsed": false
    },
@@ -1278,7 +1278,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 7,
    "metadata": {
     "collapsed": false,
     "scrolled": true
@@ -2059,7 +2059,7 @@
     {
      "data": {
       "text/html": [
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e765XirnCugJRQYFdHvAlzrZ2rPYFWgFdL6kKudynummSX8vz98V0F2omkW+QwHdHvAK6PICTXtse/Ogv+fzdznPx7kCujzOFdBdZHYFdKcom1zKCzRdOEBW3rParaBwnrsCneflaCXWvSugu8jsCuhOUVZQmFgzJVb9PZ+/y3k+zr1hLI9zBXSn0s5NhF3AbXIpL9DIe3sI6O/5/F3O83GugC6PcwV0e3lt2ZGtgW4PeJNLeYGmPbatgdbf8/m7nOfjXAFdHucK6C4yuyUcnaJscikv0HThAFl5z2q3gsJ5nqlUS38vz98V0F1kdgV0pygrKMoLNF04QFbes9qtoHCeK6DdRNhFblnqOxTQE0LfEo72gFdQmFgzJVb9PZ+/y3k+zr1hLI9zBXR7Os4a6Alha3IpL9B04QpZec9qt4LCeZ7pRll/L8/fFdBdZHZLODpFWUFRXqDpwgGy8p7VbgWF81wBbQlHF7nFEo5JoqyA7hR9BYWJNVNi1d/z+buc5+PcG8byOHcFulNpt+/LrIFuD3iTS3mBpj22942clfesdisonOeZbpT19/L8XQHdRWZ3BbpTlBUU5QWaLhwgK+9Z7VZQOM8V0JZwdJFbLOEYDeVjgauBU4FngeuA84EdIwyzEbgXeClwJPDY4LWuQI+A5IhdFRQm1kyJVX/P5+9yno9zbxjL49wV6IXi7GDgbuBh4BLgcOBK4BbgnBG03O8BJwGvUkCPgFoDXU0u5QWaBmhdcYisvGe1W0HhPM90o6y/l+fvCuiFafkC4GLgKOCJ6uOzgOuBk4E7V8zkcCbw68BlwCcU0DUQa7CLgqK8QNMgvUsOlZX3rHYrKJznCmhLOLrILZZw1Ef5RuAp4PSBS9YBW4HLgUtXGOrAqnTjF4Ae8BsK6PrgN9FTQWFizZRY9fd8/i7n+Tj3hrE8zl2BXqjYHgWuBWIlerDdDtwHnLuCyPtF4O3Am4EfVUA3IYlHG8PkUl6gGY3B8Xpn5T2r3QoK53mmG2X9vTx/V0AvzNW7qtrnKL8YbDcALwCnLZPejwf+DHgrcIcCejwhtNqrFBTlBZrVclrn+qy8Z7VbQeE8V0BbwlEnN7TVRwHdrIC+CdgCvL8atvYK9P7778/s7GyjPEdi3bIlfg5s2rSJ9evzTLaMdvcFhbbr740GkoIHM8bl8nVjnDm9JC3T6/XYuXPn3gjZ6/VOmJubu2fSIXNmgj9g3BKO9wDXAG8Y2Hz496vj8DYB3xg8Bm/4GLsHHniASAY2ERABERABERABERCBshGIRcmNG+PE4j1NAQ2xirx9aBNhLA1vW2ETYZzccRGwlPj/78AZfaAV0GVPDH+dCIiACIiACIiACCyFgAJ6ITKxeTCEcNxW9I+xi2Pp4hi7U6ra5sXwjGPvvmvog79bbUb8IeAvgb1L+8MC2hKO5iZp1se6gaC2W7KUpVQrs787z/PNc/29PM4t4Vio2w4B7gIeqo6smwOuAG4Fzh7oHiL7QuCYqu9iCrB2DfSGDRtYty5Oy2uuZd1clNXufoDdvNnNRZk2F+nv+fxdzvNxnjm+l+rvbiJcXK8eB1y1wqu8o2SjL6AfXEL2KqCbux+oPVKpk622AavoqO35Equcy3m2pw4uEoCLBKtIlA1dqoBuCMhRhxku4XAFelQEl+6voMgnKFydkXMFRXMxtOSRjO/55nqpnCugJxQpFNDtAV/qZGvP4n0ja7vJxdXILmbaZL/DeZ5vnrtIUB7nCugJxUEFdHvAm1zKCzTtse3Ng/6ez9/lPB/nCujyOFdAd5HZF/kOBXR7wJtcygs07bGtgNbf8/m7nOfjXAFdHucK6C4yuwK6U5RNLuUFmi4cICvvWe1WUDjPM9W96+/l+bsCuovMroDuFGUFRXmBpgsHyMp7VrsVFM5zBfT6LkLrxL+j1BingJ6Qa1jC0R7wpU629iy2jEExpZjKJKaMcfq7/t5FRl3+OxTQE+JAAd0e8CYXk4vJpb35VdLIWed6Vrsz3yhntr1Uf1dATygbKKDbA77Uydaexa5Am1y8afKmqYsIM/nvML7nm+ulcq6AnlA8GBbQX9veY1ev2R8zP9/j6R07dg960IEHMjMz2+wXDIz2igNfwtFHvKz2+Pc/vp3Hdjxfu/8oHUu2exQ7xulbaqAZx5ZRr8lqe1a7vWnKJ6TWAufmtlEj98r9S41xCuiVuWulx7CAft+NT/D17S+08l1dDPprbz+CNx11WO2vuu3Brbz/5sdr9y+146h2t21HqYGmbbvXQmJtCwM5zyck5bxczs1tzUe6Uv1dAd0817VGVEAroGs5yoidSg00I5oxVvestme125umckXkWBO45kWl+7sCuiaRI3QrlXMF9AgkNtlVAa2AbtKf+mOVGmjasHV4zKy2Z7VbAa2ALrHuXQHdfLQvNcYpoJvnutaICmgFdC1HGbFTqYFmRDPG6p7V9qx2K6AV0ArosUJlrYtKKk8sNcYpoGu5UvOdFNAK6Oa9CkoNNG3Y6gr0HgTkPJ+QlPNyOXcFuvloX6q/K6AX5/pY4GrgVOBZ4DrgfGDPkRaLtzji4sPAu4DXAvsB9wL/Cvi94UsU0Aro5sOMYmrz5nITaxt8K6B3Iecnsn59jjfSrQV/V0A3H+kU0KNhOjNa90Z7HwzcDTwMXAIcDlwJ3AKcs8w3HQR8A/hN4AZgJ/Ae4MeB84BrB69VQCugG/XaarBSA00btroC7Qp0Vn/ParcCuotIuuc7LOFYGWtXoBdidAFwMXAU8ET18VnA9cDJwJ3LrECH+N429HmI6SOBExTQ+xDwLn3lyTlODxOrK9CuRo4zc9bWNc7zcue5ua35uVSqvyugF3J9I/AUcPrAR+uArcDlwKUjusfHgX8IvOiQZFegXYEe0Y9qdS810NT68avslNX2rHavhdXIVbr0kpfLuQK6Ld/qj+sK9MoIK6AXYvRoVW4RK9GD7XbgPuDclWF9UY9bq3+9xRVoV6BH9J2Ru5tYy02sI5NZ8wI5l3OfOtScLB10cwW6eZBLjXEK6IVc76pqny8b+ihKMeJVgaeN4B5R+/xp4Gzgd6ZZQH/qbXOcdGT9V3nf8ch2fuqLT44AZZldR7W7bSsi0GzZsmX312zatCnd5qKMtst5Pn+X83I5N7c1n+VK9fder8fOnbHdbU/r9XonzM3N3dM8AqONOMlNhE0J6O8D/hD4j8BPDJs/bSUcv/TGl3LI07F4X699+6BX8uHb44CTtd1GtXttW+uvFwEREAERWA4Bc1se/4gnPxs3blRAD1DeRAnH64CbgS8B744bEwX0ixEwyOQJMloqAiIgAlkQMLdlYZrdT3gV0C/m+yZg+9AmwjjjOU7XqLOJ8LuA/w18HfjB6hzpBR41bSvQo5Yy+JirnSBT6qOudqx98ahZbc9qd7Cf1fasdq8Fzs1tzUf7Uv3dEo6FXMfmwYuAWJfvH2N3ZnWM3SnAHcu4xyuAPwaeAd5endyxaPdpE9Cj7th1o0XzQaafXDK+WCKz7aVusGnHwxfeNGX0dzkvd+Ooua35mV+qv7uJcCHXhwB3AQ9VR9bNAVcAcZpGbAbstxDZFwLHVH1fWpVsfDfw3uqlKoOj3zb4DwW0x9g1H2Z8E6FiyrfStTGvShuzVEHRBU6l266Abt4LSuVcAb0418cBV63wKu942UpfQD9YrVh/bRnXibOk9zYFtAK6+TCjgFZAK6DbmFeljVmqoOgCp9JtV0A37wWlcq6Abp7rWiMqoBXQtRxlxE6lBpoRzRire1bbs9odTpLV9qx2rwXOFdBjhe9lLyrV3xXQzXNda0QFtAK6lqOM2KnUQDOiGWN1z2p7VrvXgpgay5FrXCTn1kDXcJNVdRl1X9OqvmyFi0v1dwV0m6wvM7YCWgHdhuuVGmjasHV4zKy2Z7VbAV2uiGxzvpfu765AN89+qZwroJvnutaICmgFdC1HGbFTqYFmRDPG6p7V9qx2K6AV0CeeWF7NvwJ6rPBtCUeDsE3yTYQNmrH0UApoBXQbjqaYyicq5FzO44UOWVrp/q6Abt4TS+XcFejmua41ogJaAV3LUUbsVGqgGdGMsbpntT2r3a5A57txWAucK6DHCt+uQDcImyvQDYLZxVCjbjgwyLTDimIqn6iQczl3BbqdeDrOqOa2cVBb/ppSY5wr0M1zXWtEV6Bdga7lKCN2KjXQjGjGWN2z2p7V7rWwGjmWI9e4SM7LvWlSQNdw4BG7lOrvCugRiWyquwJaAd2ULw2OU2qgacPW4TGz2p7VbgV0uSKyzfleur8roJtnv1TOFdDNc11rRAV0XgF9/+PbeWzH87X8ZNRO8/M9nt6xY/dlBx14IDMzs6MOUbv/Kw58CUcf8bLa/aNjVtuz2i3na3+eB4ejzvXM/p5VQGfkXAE9UvpvrrMCOq+AzhpgY/ZktT2r3XL+eHNJY4IjucelPvhZ53pGuxXQ9edFoz0V0AroRh1qAoONmlQVU2tfTMn5YbVn2rQIijB4VN6nxfZR7TbG5YpxCuja4bDZjgpoBXSzHtX9aCaXfGJKzvNxroCuz7kCWgE9Nzd3T/fZ+MXf6DF2k2ZgxO8fNbG6QpEr0PTdKSvvWe1WUKz9ea6AVkDXkQMZY5wr0It7xrHA1cCpwLPAdcD5wJ7dWcu304CPAccDjwBXAb88fIkr0K5Ar+RIpX8+6k2TYmrtiyk5ry+mpkVQKKDrc26MyxXjFNALVcrBwN3Aw8AlwOHAlcAtwDkriJo3AV8EPgt8Boh/h5j+IPDJwWsV0Aro0gXySr9PMVU/sU6LmJLzfJwroOtzroBWQGcv4bgAuBg4CniiEhFnAdcDJwN3LiMsPg8cAXzvQJ9fAc4FXgW80P+7AloBvZJALf1zxVT9xKqAzpVYp0lIKaDrz/Np4n3U+J4xxrkCvVCl3Ag8BZw+8NE6YCtwOXDpEsJmPfAd4CPAJwb6hJj+EvAD1Sr27o8U0Aro0gXySr9v1ABrcsknIuV87XOugFZAr5QLss5zBfRCz3gUuBaIlejBdjtwX7WavJg/vRaI3ZfvAmIlut82VML6/cA1rkDvQSDj3Wqfe21f+6Ji1JsHOZfzOiKk1D76e31mss71jHYroBfOi11V7fNlQx/dUJVgxCbBxdpbqhXm2Hh461CH54ALgY8roBXQGQNN9psHOVdA15dg5fVUQNfnJOtcz2i3AnpCAnrbtm1vAO7of/1HbtvGN3fsLZGuP1sL6XnhyYdw/MsPqv1r7v3W01z6Z9+u3b/UjqPaHXZoez7e5VzOS41hdX7XqHFOf9ff6/hViX1G8fVer8dzz8X66N520qGHHrrcPrlOTJ7kOdCdlHBs3br1jJmZmd/tBE2/RAREQAREQAREQAREoDUE5ufn333YYYd9rrUvqDnwJAX0TcD2oU2Es8C2mpsIfw64YsDO2ET4ZeDtg5sIFdA1PcFuIiACIiACIiACIlA4AgroPZsHLwI2Dhxjd2Z1jN0pg2UXi3AZmwfj3Og4/7nf4iUqP1IdY/d8/48K6MJngj9PBERABERABERABGoioICGQ4C7gIeqI+vmqhXl2Bh49gCOIbJjY+AxVd/46M3AzUMvUolj7z5cvdlw7+VPPvnkITMzM7EqvbvNzMw81Ov1YgOjTQREQAREQAREQAREoGAEZmdn18/Pz7+6/xPn5+dvnpubm3gB/CRLOAKL46pXcC/3Ku942UpfQD84wPE7gDjBY9lXeRfsE/40ERABERABERABERCBNYjApAX0GoRswU8+tlr1Xu4mYBrsHLYh7D4fiHKb11evZI+nBNPe4jXzUSoUb8uMk//vB36juhHcWzo0pSDEm0L/GbAJeBnwDeB3qidIsXchS4sXPsUO8BOAHwaum2LD4+ldvPRquN0NnDjFdg+a9p7K74PvZ6vywogBsRF+Glvwvfep7ZCB/xz419No9IBN7wbCzlicC77/FIg9V1+Zcrt/sIrlf716p8Z/BX62+v8pN3088xTQ4+HWv+pgIBLJw9WZ1rTZ6rkAAAOoSURBVFGXfWW1iTGE1jS3M4BfBf4EOLoSkxkEdLztMp6E/DfgESDOJY8nJL8FnDfNhAM/Xu1ZiIQSj8/ixukS4M+Bvz3ltg+a9yEg/nsl8PcSCOj/VXF/7wAIO6rYN+20B8/xpDNE4x8CcYbo24BPAQ9MqfFxgxy5bbC9F/ip6qYpXmQ2rS3i2P8E/n1VIhp8h3iOHBc3UNN60xQ3TOHfvw38JhDlEvE+jc3A35pWsldrlwJ6dQjGRsgoMTlqYCNkrNJdX61QTvycwtWZV/vqSCZRUpNBQMdN0hNDyESA/Wi1gfVbtVGbjo7/APj1SljHjeS0t79WvQn1p4HPJFmBDgH9fdXN8rTzO2hflBiGWPzA4NttMwEwYOttwP5ArE5Oc4uniSEm4wlrv4V4/irwvmrOT6P9f1Qtgp00YFxfywy/9Xka7R/LJgX0WLDtvSgedT01dBRfPN7dusJRfKv71vKuziSgF0M/3pr5P4AIPtP+mG/Y/tjwGyUMITainGXa238Bnq5OEAp7s5RwxMbteNqUqcXK8z8GYoP7tJdnLcfrdwP/tyrZGzw6dhp9IVae48na4I1CLJrEwsiPVauz02h3HCn8b6qSjb59sfoef/808JPTaPRqbVJArw7BcV8Gs7pvLe/q7AI6HnX9U+Dl1Q1VeQw1+4vivPb9qkTz76pH2VHSM+0tbpT+M/Aa4IDqhiGLgI5YF/4d7wqPF1NFjWgsFExziwWSEBHXAD8P/NVqRTpsj8f8WdovAB+pnjJ9c8qN/hsVt/F0+dpqr8cvVk9gvmeK64FjD8vVVTlin+L1wDPV+zXeOuW8j2WeAnos2PZeFMfhRQ1orFQMthuAeF94JNwMLbOAfl21MvdvgQ9mILsSTnEMZbQ/AH6oCrTTbH48vo79Dp8E4sz5OL8+wwp0rMSdC8SLr+JpW5y9H2Iq9gG8EXjR+3WnzAH+TyWav8Oe9xY8VpVzRFwPXOLzDO0vqpvk2GSWoUXJwn+oxHPY+7Uql//lFBsfT5dCRP+dARu/H/hi9fThtVNs+9imKaDHhm73hQroPfhlFdDxaC82FcYj/dhMGHfrGVqcvnBgtQIdGygjwUZynZ9i46PGPW4UYhUqbo6zCOjFKA2uvzDlNaFhd5QtRGnSO6sbxfhbPHmJetioGZ32TcNhb5TuxLsZwtZYkZ32FvbGi9r+ExDlWhuqm6cjq1Xoad3jEqfKBL/xdCXqwGNfV/w7NpRGfI+FItsQAv8fKrA86nupcVkAAAAASUVORK5CYII=\">"
+       "<img src=\"data:image/png;base64,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\">"
       ],
       "text/plain": [
        "<IPython.core.display.HTML object>"
@@ -2191,16 +2191,6 @@
       "probability of door = 0.1875\n",
       "probability of wall = 0.0625\n"
      ]
-    },
-    {
-     "data": {
-      "image/png": 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/YvHixaitrcW0adOETu2unT17Fm+88QaOHDkCNzfX+/dhYmKixftHH30UEyZM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\nAAAAAElFTkSuQmCC\n",
-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x25d95f4e860>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
     }
    ],
    "source": [
@@ -2333,18 +2323,7 @@
    "metadata": {
     "collapsed": false
    },
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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fIyIiUFNTg3fffddpizIioq5gnhFRT7K5KPP09IRKpUJdXZ1Ze11dHby9vTvd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\nlUqFuro6s/a6ujp4e3tb3cb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-      "text/plain": [
-       "<matplotlib.figure.Figure at 0x25d959f8e10>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
     "def perfect_predict(belief, move):\n",
     "    \"\"\" move the position by `move` spaces, where positive is \n",
@@ -3148,7 +3127,7 @@
     {
      "data": {
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\">"
+       "<img 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\">"
       ],
       "text/plain": [
        "<IPython.core.display.HTML object>"
@@ -3237,7 +3216,7 @@
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       "text/plain": [
-       "<matplotlib.figure.Figure at 0x25d9625f908>"
+       "<matplotlib.figure.Figure at 0x2f9c074af28>"
       ]
      },
      "metadata": {},
@@ -3289,7 +3268,7 @@
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DJwOHAxcB5wF3LjMra8EzgWeDDwIXA78j+72biIcDviVtNK51DfRrESPo96TVe9Z5ZZQOM4zfWnS3uuzdwn0YC99PnA2cBJwC3AhcBqwBdjV5/bXAj8NvBz4e2ADcBRwvQR6MNjjaCGhqG+iGYdeB/WRVe9Z5ZZQOM4l0OZAD/ILTf4ugR6M7q3AJcClpek64M4SYb6s5/aDym8vBT66XNdGoAcDv9IWEgodaybHqr3ns3d1nk/nLhjr07kEenmWFikb9wHHA9d0Nb0SuAE4r+f2FxTiHFHrV5WUj88Arwce1X65egn0hg0bmJ2dXSln7HtfTLLbt2/f89vWrVtZvz7PajWj3J0JVtm197FOJBV35hyXy9ad4/TpNXGZhYUFdu/evXeGnJ+fP2Zubm659N5WZtOZVp4y+CGHA7cDRwM3dzWPnOb7gTN6ungZ8F7gb4CIQu8EIn86Uj4ijeOBpQj0jh07CGfgJQIiIAIiIAIiIAIiUDcCEZTcvHmzBHoJNY0agX4h8CHgROAvSp8RVg7i/GIgItd7rt4ItAS67oHi24mACIiACIiACIhABwEJ9GBb6JcDfRdwDtCbA92JWHcT6MiZjmj1sgTaFI7Bihi2RdbPuoGPspuylCVVK7O9O87zjXPtvT6dm8IxmJVFnnNU4TgZCDJ9AXBqScnoV4XjA8Ac8KPAV0vVjqjIEWkgUdKubwR648aNrFsXXHt8V9aNJlnl7kyw27bVt9lifFa9dE9Z9Z5V7sz2rs6d49wo3YZXWf4ZbiIcTgcXAWcCUWXj2q460EcAN5WUjatLVxuBt5WI8zzwqbLZMNrtvazCMRzwK2mlc9G56FxWMnLW3j1Zx3pWuTMvmjLLXqu9S6An5DMk0M0BX+tga07ifT0re77FgzpX59nSdvzKBgYJ2vCoRqAnj3KfN5BAN6cWCUU+QmF0Rp1LKJqbU2vq2fk931ivVedGoCc0M0igmwO+1sHWnMRGoCXQ+ZyqOlfnmRZN2nt99i6BboPVGIFuFWUJdH0TTRsGkFXvWeWWUDjOJdB5DkerMW1HAt2GZ5dAt4qyhELHmsmxau/57F2d59O5C8b6dC6BbpXa7XuYKRzNAa9zqW+iaU7bpq9o7/nsXZ3n07kEuj6dS6Db8OxGoFtFWedS30TThgFk1XtWuSUUjvNMX5q09/rsXQLdhmeXQLeKsoSivommDQPIqvescksoHOcSaHOg2/AtSz1DAj0h9E3haA54CYWONZNj1d7z2bs6z6dzF4z16VwC3RyPW7ZnCXRzwOtc6ptomtO2OdDaez57V+f5dC6Brk/nEug2PLspHK2irHOpb6JpwwCy6j2r3BIKx3mmL03ae332LoFuw7NLoFtFWUJR30TThgFk1XtWuSUUjnMJtDnQbfgWc6AnibIEulX0JRQ61kyOVXvPZ+/qPJ/OXTDWp3Mj0K1Su30PMwe6OeB1LvVNNM1p2xxo7T2fvavzfDqXQNencwl0G57dCHSrKOtc6pto2jCArHrPKreEwnGe6UuT9l6fvUug2/DsEuhWUZZQ1DfRtGEAWfWeVW4JheNcAm0OdBu+xRzo1aF8MXA6cDBwHXAWcOOALg8CbgCOAPYDFrrbm8KxOoUsd7eEQseaybFq7/nsXZ3n07kLxvp0bgR6MI87HzgbOAm4BbgQOA3YAuxa5vZ3Ad8C/CcJ9GCQx9lC51LfRDNO/S7VV1a9Z5VbQuE4z7RQ1t7rs3cJ9GDPfitwCXBpaboOuBM4F7hsidtfCLwReAPwMQn0YJDH2UJCUd9EM079SqAfi4D2ns/e1Xk+nUug69O5BHp5zx4pG/cBxwPXdDW9sqRnnNfn9rmS5hER6ycCH5dAt0Gf9j1D51LfRNOGBWTVe1a5JRSOcyPQ5kC34VvMgV4ZyocDtwNHAzd3dXE5cD9wRp9urwCuB94CnDAsgd6wYQOzs7Mre8sl7grHun379j2/bt26lfXr8wy2jHJ3CIWya+9jnUgq7sw5LpetO8fp02viMgsLC+zevXvvDDk/P3/M3NzcoP1xjc+oM40/YbgHjBqB/jHgtcBxZdPg9wB/CQRzne9+ZO8mwh07dhDOwEsEREAEREAEREAERKBuBCIouXnzZgn0MmrqlwN9F3BOnxzodwMvAb5e+ovqG0HC7y7E+r2d50ig6x4Yvp0IiIAIiIAIiIAILIWABHqwbUSec1ThOBkIMn0BcCpwVJ8qHIcAB3Z1+RwgUjpiiXIP8NBSBNoUjsGKGLZF1s+6gY+ym7KUJVUrs707zvONc+29Pp2bwjEcK7sIOBOI2s7XdtWBjhrPNwEnAlf36WroHOiNGzeybl0U+BjflXVzUVa5OxPstm1uLsq0uUh7z2fv6jyfzjPP77Xau1U4xsdXR+rJg1RGgmukxrUOtpGEWGFjZc/nWNW5Os/21cEgARgkWKGTHONtEugxgjlKVxLoUdAara2EIh+hMDqjziUUo82Ta7W183u+sV6rziXQE5pFJNDNAV/rYGtO4n09K7vOxWhkGyNtss9wnOcb5wYJ6tO5BHpC86AEujngdS71TTTNadvFg/aez97VeT6dS6Dr07kEug3P3ucZEujmgNe51DfRNKdtCbT2ns/e1Xk+nUug69O5BLoNzy6BbhVlnUt9E00bBpBV71nlllA4zjPlvWvv9dm7BLoNzy6BbhVlCUV9E00bBpBV71nlllA4ziXQccjx9F+1znES6AnZnikczQFf62BrTmLTGCRTkqlMZMo5TnvX3tvwqMs/QwI9IR1IoJsDXueic9G5NDe+auo561jPKnfmhXJm2Wu1dwn0hLyBBLo54GsdbM1JbARa5+KiyUVTGzPM5J/h/J5vrNeqcwn0hOYDCXRzwNc62JqTWAItgc7nVNW5Os+0aNLe67N3CXQbrKbPMyTQzQEvga5vomlO2y4etPd89q7O8+lcAl2fziXQbXh2CXSrKOtc6pto2jCArHrPKreEwnFuBNoqHG34lqWeIYGeEPpGoJsDXkKhY83kWLX3fPauzvPp3AVjfTqXQDfH45btWQLdHPA6l/ommua0bQqH9p7P3tV5Pp1LoOvTuQS6Dc9uCkerKOtc6pto2jCArHrPKreEwnGe6UuT9l6fvUug2/DsEuhWUZZQ1DfRtGEAWfWeVW4JheNcAm0OdBu+xRzo1aF8MXA6cDBwHXAWcGOfLp8AvBV4LnAYcDdwOXAR8HB3e1M4VqeQ5e6WUOhYMzlW7T2fvavzfDp3wVifzo1AD+Zx5wNnAycBtwAXAqcBW4BdPbc/CXgpcAXwBeDJwAeBvwTOlUAPBnscLXQu9U0049DroD6y6j2r3BIKx3mmhbL2Xp+9S6AHeWW4FbgEuLQ0XQfcWQjxZYNv5zXAK4GnS6CHQGsMTSQU9U00Y1DrwC6y6j2r3BIKx7kE2hSOgY6hwQYS6OXBjZSN+4DjgWu6ml4J3ACcN4RuPgJ8CfjJ5Qj0hg0bmJ2dHaK74ZuEY92+ffueG7Zu3cr69XkGW0a5O4RC2bX34WeJtd3SOS6XrTvH6dNr4jILCwvs3r177yQ6Pz9/zNzcXL/03lYn2plWn7b0ww4HbgeOBm7uahZ5zfcDZwx4zzcBrwKeXaLWe5v35kDv2LGDcAZeIiACIiACIiACIiACdSMQQcnNmzdLoJdQ02oi0G8uudLfD3y+t38JdN0Dw7cTAREQAREQAREQgaUQkEAPto1+OdB3AecAS+VAvx14PhDk+Y5+j+gl0KZwDFbEsC2yftYNfJTdlKUsqVqZ7d1xnm+ca+/16dwUjsGsLPKcowrHyTy6ofAC4FTgqD5VOGKD4XuAY4HnAf+yVPeWsRsM/EpbuKnKzUWZNhdp7/nsXZ3n03mHQG/blk/2Wu3dTYTDsbSo43wmcBBwbVcd6COAm4ATgatL/edPAJFV/o3SdeRzL5Ya0nufJoEeDviVtKp1sK1EllHvUXadS7YItITi2DQbxDOTyMyy1+rXJNCjMpQxtZdAjwnIPt3UOtiak3hfz8ougZZAtzHSJvsMx3m+cS6Brk/nEugJzYMS6OaA17nUN9E0p20XD9p7PntX5/l0LoGuT+cS6DY8e59nSKCbA17nUt9E05y2JdDaez57V+f5dC6Brk/nEug2PLsEulWUdS71TTRtGEBWvWeVW0LhOM+0WVh7r8/eJdBteHYJdKsoSyjqm2jaMICses8qt4TCcS6BznO6cI2bhSXQbXh2CXSrKEsodKyZHKv2ns/e1Xk+nbtgrE/nEuhWqd2+h5kD3RzwOpf6JprmtG0OtPaez97VeT6dS6Dr07kEug3PbgS6VZR1LvVNNG0YQFa9Z5VbQuE4z/SlSXuvz94l0G14dgl0qyhLKOqbaNowgKx6zyq3hMJxLoE2B7oN37LUMyTQE0K/N4Xj1gcWeHhhvC+zuLjA13bt2tPpgQccwMzM7Hgf0NXbEw94HE86LA5qHO76wt0P8OVdncMah7tn2FY1yx0yKHtOvQ9rv6O2k0DnI5K169w5Lt8cl1HnEuhRvdWY2vcS6Fd+4h5ue2B+TL233807TjiM447cNPSDr7l9J6+66u6h29facFS5Qw5lz6f3jM6lM2azyj4tcoceRw2QOMflm+My6lwCPSFmJoGWQE/I9Mb2WBcPLhiHMaaMjnWaFsohy6hjPavOp0nv6nzw7CaBHoxRIy0k0BLoRgyrxU5HnWB1LvmiUup87etcAj38Qll7X/v2Popfk0C3SDi6HyWBlkBPyPTG9thRJprOQ7NGprLKLaFY+4RCAi2BHsZpZJzjJNDDWEYDbSTQEugGzKrVLiXQwzvWjM7FRdN0zHES6OHHuQvGtb9gHMWvSaBbpRz7HiaBng7nMspgy04odC65nEt2e5+WRZMEWgI9DE2aFnsfxadLoIexjAbaSKAl0A2YVatdjjLRSKa091aNs4GHjWrv00IoJNAS6GGG07TY+yjjXAI9jGXAxcDpwMHAdcBZwI1L3Pp44O3AyUBUdv4IcDbwVXOg9yGQcbBlJ5FGoI1ADzfd1tlqFMc6TbYugZZADzMiM/p0CfRgyzi/EOCTgFuAC4HTgC3Ao6eUPPYKwrwf8FJgBrgC+BrwQxJoCfQ0OdZRCUVm2TM6l+wLxmnRuQRaAj2YJuU830ACPdgybgUuAS4tTdcBdwLnApf13H4kcBtwLPBP5bf49/VA/PbFTntTOPykPdj06m4hgR7esU4LmVLn+XQugR5e5wYJcn1lk0Avz1EiZeM+4Pg4QK6r6ZXADcB5PbefAlwOHNDz968DLwE+3Pn7zp07nz4zM/Ppzn//7DX3ceeutXsS4ZueeQhPe8KBQzO+m77yNd583WOyWoa+t6aGo8od767s+fSuztV5TfPWqO8y6jynvWvvo9pYLe1HsfWFhQUeeeSRva++uLj4jE2bNn1m0rJE6kMN1+HA7cDRwM1dLxQk+X7gjJ6XPBV4K/DNPX//UolYv6+LQJ8yMzPzoRqE9B1EQAREQAREQAREQARWjsDi4uKLNm3a9Ccr72E8d9ZCoJuMQEugx2Mr9iICIiACIiACIiACE0VAAv2v4e+XA30XcM4SOdBfAL69Kwc6/h2pGpu7c6B37twpgZ6oqftwERABERABERABERgPAhLof41j5DlHGbooSxdk+gIgUjWOWqIKx5+WKhwvK1U4fh94EPjh7q7vvffeQ2ZmZk7o+tsdCwsLD49HjfYiAiIgAiIgAiIgAiLQFAKzs7PrgSM6/S8uLl516KGHTjwBvpYUjg4uFwFnAgcB13bVgQ7gbgJOBK4ujaMOdFTs+EFgEQhCHQQ8cqa9REAEREAEREAEREAERKARBGoj0I0IaaciIAIiIAIiIAIiIAIiMC4EJNDjQXKUExTH88TJ9xIH2MRJkZF7vrGk08SJkBmut5RUo8i3j7Shq4DXdefeTykIkVYVhxsdBkQaVJwW+jPAP06pvMuJ9UHgRcDzgI9PufxxqNWbSipd+IzOF79In8twRXnVXwCeDUQN1Dgd9z9Oub9am3UAAAUESURBVOBxvkKcqdC54lyG/UuK5LRXtXoi8Dbg+4BIHfgs8Abgr6dc5yFefNn/5eLforjD3wGv7qmOlgCG4USUQA+H03KtRj1BcfVPrKOH5wOHllrcv5OMQP8i8IelRnnUIv8t4GnA0+tQTWNv8VTgy0Dknj2uTKyxcIhykkGqslyxiPgJIMZA/C8Dgf5+4LlZFNwlZ5Dnj5b0wBjzUYz2mcCnkmHx38siKkrOTvseog+UIEHsp9pZChlEemksKOK8imm+YnEUi4aY3+Jk5yDT/7nsRXtomgVfiWwS6JWg9th7RjlBcfVPq6+H2KAZBCKOVc8Sge7VQqcCTCwoJr6xoSUT2QD8N+DXgIjY3NPScyf9mCAQnywRyKhdnyUCnZVAR9QxDveKQEnmK/Yg/THwswlAiBON3wX8ryJrnFz2AHDclC+cIhgUe8ieA/xDkT3m+fjKGkGDKNTg1YWABHp15jBq/erVPa3OuyXQj6ZvvAp4cp0qGutb/UApK3lIWTD9ejJyEaejvr842FgwZiHQUSVpV/nf3wI/B9w2Vsuqr7NIWQjiFIvE7wH+PRDlUyOF64/qe93G3ihSGcLunwLsaOwp9XT848BPlShsBAbOBX4S+DZgdz2vOfY3CQId9h4EunMidGcMZJvnhwJXAj0UTEs2GvUExdU9rc67sxPoIFCRD/ti4GN1qqiRt4pcuVeUvO/45Jnh+umS9/yCImwWAh3pSeFY7yjpOnEK7HcCxy5RYnRabOHfFZn/peSERmQy8t7jhNxIZ+mQjGmRdyk5/gD4JuCF0y5okS9SNd5Rqn59A7i35H5HPvC0X7FQiuvlJYXjl8qXxojIR4U0ry4EJNCrMwcj0JCZQEcJxfcWIjnxY0VXZ8orujvmj8gR/O6SD76iTtbITfF1IVI34jNuEMm4shDoXhVFjmSkKgWh+r9rRH8rec3O/B4kojt14c+Bz5SNZSvpdy3dE/sbIup8ChByT/sVc9rngb8qkedYOMY8/56yaNo25QDEBvFYIEdgaBZ4J/AjJX0nvjp5SaDHagOjnKA41gdX0llWAh0VCKIOeUwu00wiljOz2EgYRCqiFdP+STui7b9dcgQ7gYe5Iv8VJYWnkiHZ+Gt0CHSQqmn/6vLPQERgsxLo2DwXB5pF+kaGK/ax3F02hHdXF4qKQ/HlIchlpusJZQEVB9x9IpPgw8hqBHoYlJZvM+oJiqt/Yh09xOo0Ng4Ggf6zcvhNlHiKHdrTXpEhDuz5+RKB6xzsU4dWmn2LKGcUTiQqccTEGtVIXgIcDcRn7mm+4hN2ONfu64tAlHMMEjnNu/NjkRgbhSMf9N8UEhFl3CInNHbqT/MVNh+lGk8CIvoYUfdOCkcc9jXNV5Sui+hzlHT71WkWtEe2KOEXef6vLRvogjzGIir2f0w7idxSvip+pSyafhP4evkCkcgEhhNVAj0cToNaLXWC4qD71vLvEZF7dxdZ7tSH/d4E9TLj032Us+psKOnIHk52mgl1nPb5rFL3O3ZrRymvWEh8ei0b8irePRaMGcrYRWmryHmOagSRshOVKaIudHx9y3C9vtS8j42zEZGO+f7DCQSPfR2/B8Ren8gDznLFZtFYMMRmuqhCESlbsYiIPOBpv/5LmdM3lQXz+4CoAz/tpQtXpFcJ9Ipg8yYREAEREAEREAEREIGsCEigs2peuUVABERABERABERABFaEwP8H14tU25hwfvMAAAAASUVORK5CYII=\">"
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\">"
       ],
       "text/plain": [
        "<IPython.core.display.HTML object>"
@@ -4212,7 +4191,7 @@
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       "text/plain": [
-       "<matplotlib.figure.Figure at 0x25d95f00668>"
+       "<matplotlib.figure.Figure at 0x2f9c071a630>"
       ]
      },
      "metadata": {},
@@ -4250,7 +4229,7 @@
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       "text/plain": [
-       "<matplotlib.figure.Figure at 0x25d95697898>"
+       "<matplotlib.figure.Figure at 0x2f9c0be0940>"
       ]
      },
      "metadata": {},
@@ -4308,7 +4287,7 @@
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       "text/plain": [
-       "<matplotlib.figure.Figure at 0x25d963e31d0>"
+       "<matplotlib.figure.Figure at 0x2f9c07348d0>"
       ]
      },
      "metadata": {},
@@ -4343,7 +4322,7 @@
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       "text/plain": [
-       "<matplotlib.figure.Figure at 0x25d963f3668>"
+       "<matplotlib.figure.Figure at 0x2f9c0ac30b8>"
       ]
      },
      "metadata": {},
@@ -4374,7 +4353,7 @@
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       "text/plain": [
-       "<matplotlib.figure.Figure at 0x25d965b25f8>"
+       "<matplotlib.figure.Figure at 0x2f9c131d438>"
       ]
      },
      "metadata": {},
@@ -4405,7 +4384,7 @@
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       "text/plain": [
-       "<matplotlib.figure.Figure at 0x25d966df668>"
+       "<matplotlib.figure.Figure at 0x2f9c142e160>"
       ]
      },
      "metadata": {},
@@ -4438,7 +4417,7 @@
      "data": {
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       "text/plain": [
-       "<matplotlib.figure.Figure at 0x25d966df550>"
+       "<matplotlib.figure.Figure at 0x2f9c13b4160>"
       ]
      },
      "metadata": {},
@@ -4481,7 +4460,7 @@
      "data": {
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       "text/plain": [
-       "<matplotlib.figure.Figure at 0x25d96678940>"
+       "<matplotlib.figure.Figure at 0x2f9c13e6860>"
       ]
      },
      "metadata": {},
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\">"
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\">"
       ],
       "text/plain": [
        "<IPython.core.display.HTML object>"
@@ -6147,7 +6126,7 @@
     {
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\">"
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\">"
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       "text/plain": [
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@@ -6955,7 +6934,7 @@
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\">"
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\">"
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       "text/plain": [
        "<IPython.core.display.HTML object>"
@@ -6996,7 +6975,7 @@
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7vM8Up13ey/Ms5yprlE6Avg5Y2nreS0QMpsutklaQHVpZO7K/mVmNOO8VYPsL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\nuP3HZEdBrA/5ELBVIiIeIks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       "text/plain": [
-       "<matplotlib.figure.Figure at 0x25d96678a20>"
+       "<matplotlib.figure.Figure at 0x2f9c1287128>"
       ]
      },
      "metadata": {},
@@ -7199,7 +7178,7 @@
      "data": {
       "image/png": 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       "text/plain": [
-       "<matplotlib.figure.Figure at 0x25d95f706d8>"
+       "<matplotlib.figure.Figure at 0x2f9c02ee080>"
       ]
      },
      "metadata": {},
@@ -7250,7 +7229,7 @@
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       "text/plain": [
-       "<matplotlib.figure.Figure at 0x25d962ade10>"
+       "<matplotlib.figure.Figure at 0x2f9c0b52cc0>"
       ]
      },
      "metadata": {},
@@ -7284,7 +7263,7 @@
      "data": {
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b0aZILuOpU1a0Pz403a/1M+UR9Qsxroi4GPhN4N7MfPk4bT5FdUvpFuDkzPzh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\nKsTCSpIkqRALK0mSpEL+P7T+wThRC3x/AAAAAElFTkSuQmCC\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x25d96468518>"
+       "<matplotlib.figure.Figure at 0x2f9c11aa0f0>"
       ]
      },
      "metadata": {},