From 4b404d6b345f09daaaa17c408ab12a0fc895b4cf Mon Sep 17 00:00:00 2001
From: Filip Johnsson <filjo653@student.liu.se>
Date: Mon, 2 Dec 2024 11:05:57 +0100
Subject: [PATCH] 5.1

---
 l4/TM-Lab4.ipynb | 128 ++++++++++++++++++++++++++---------------------
 1 file changed, 72 insertions(+), 56 deletions(-)

diff --git a/l4/TM-Lab4.ipynb b/l4/TM-Lab4.ipynb
index ed0c571..a481d39 100644
--- a/l4/TM-Lab4.ipynb
+++ b/l4/TM-Lab4.ipynb
@@ -45,7 +45,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 71,
+   "execution_count": 162,
    "metadata": {
     "deletable": false,
     "editable": false,
@@ -87,7 +87,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 72,
+   "execution_count": 163,
    "metadata": {
     "deletable": false,
     "editable": false,
@@ -120,7 +120,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 73,
+   "execution_count": 164,
    "metadata": {},
    "outputs": [
     {
@@ -200,7 +200,7 @@
        "4                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         i loved these movies , and i cant wiat for the third one ! very funny , not suitable for chilren  "
       ]
      },
-     "execution_count": 73,
+     "execution_count": 164,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -239,7 +239,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 74,
+   "execution_count": 165,
    "metadata": {
     "deletable": false,
     "nbgrader": {
@@ -334,7 +334,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 75,
+   "execution_count": 166,
    "metadata": {
     "deletable": false,
     "nbgrader": {
@@ -379,7 +379,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 76,
+   "execution_count": 167,
    "metadata": {
     "deletable": false,
     "nbgrader": {
@@ -424,12 +424,12 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 77,
+   "execution_count": 168,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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AMLZCz2OPPaaWlpaw8R07dmjhwoUqKChQeXm5MjMzNXv2bL333nsh84qLi7Vv3z4tWbJEq1evVnV1tWbMmKHm5ubgnGPHjqmoqEjJycnasmWLpk6dqnXr1mnr1q12tg4AAAzTJdoTjx49qj/96U+aN2+eFi9eHHJs3bp1GjVqlIqLiyVJw4YN05EjR7Rx40aVl5dLkg4ePKi9e/eqoqJCeXl5kqS0tDQVFhZq165dKiwslCRVVFSoR48eevTRR+VyuZSTk6NTp05p8+bNmjx5slwuV7RvAQAAGCTqKz3Lli3TpEmTlJaWFjJeU1Ojzz77TAUFBSHjhYWF2r9/vxobGyVJVVVVsixLubm5wTnp6enq37+/qqqqgmNVVVUaMWJESLgpLCyU1+vVwYMHo90+AAAwTFRXenbu3KkjR45o/fr1+uCDD0KOud1uSQoLQxkZGWpqalJNTY0yMjLkdruVlpYmh8MRMi89PT24Rn19vb788kulp6eHzXE4HHK73crOzo7mLUiSunQJzXwxMc6Qr5GK9jxcfez2ED0IuzqrB0EN7erI+kUcehoaGrRy5UqVlJTommuuCTvu8XgkSZZlhYwHXgeOe71excfHh52fkJCgw4cPS2q90bmttVwul2JjY4NrRcPpdKhHj7g2j1lWbNTrApL9HqIHYRc92PmooT0dUb+IQ8+mTZt07bXXaty4ce2+mR+Tz+eX11sfMhYT45RlxcrrbVBLiy/iNQPnA3Z7iB6EXZ3Vg6CGdl2ofpYVa+sKUESh54svvtDWrVu1cePG4FWY+vr64NezZ88qISFBUutVmuTk5OC5Xq9XkoLHLcvSiRMnwn4Pj8cTnBO4EhT4vQIaGxvV0NAQnBet5ua2m7GlxXfeY8ClsNtD9CDsogc7HzW0pyPqF1HoOX78uJqamjRz5sywY1OmTNHgwYP1yCOPSGq9t+f79+K43W517dpVvXr1ktR6X87+/fvl9/tD7uuprq7WDTfcIEnq3r27rr/++uA9Pt+f4/f7w+71AQAAOJ+IrhH1799fTz/9dMg/Dz74oCRp6dKlWrx4sXr16qW+fftq586dIedWVlYqJycn+F1Y+fn58ng82r9/f3BOdXW1PvzwQ+Xn5wfH8vPztXv3bjU1NYWsZVmWsrKyIn/HAADASBFd6bEs67zfLXXTTTfppptukiTdf//9mjt3rnr37q3s7GxVVlbq0KFDevbZZ4Pzs7KylJeXp9LSUs2bN0/dunXTmjVr1K9fP915553BeUVFRXrppZf0wAMP6O6779aRI0dUUVGhkpISntEDAAAuWdQPJ7yQ0aNHq6GhQeXl5SorK1NaWpo2bNgQdmVm7dq1WrFihRYtWqTm5mbl5eVpwYIF6tLlu2316dNHFRUVWrlypWbOnKmkpCTNmTNH06dP74itAwCAq5Tt0JOdna2PP/44bHzChAmaMGHCBc+Nj4/X8uXLtXz58gvOGzJkiLZt22ZrnwAAwGw8OQkAABiB0AMAAIxA6AEAAEYg9AAAACMQegAAgBEIPQAAwAiEHgAAYARCDwAAMAKhBwAAGIHQAwAAjEDoAQAARiD0AAAAIxB6AACAEQg9AADACIQeAABgBEIPAAAwAqEHAAAYgdADAACMQOgBAABGIPQAAAAjEHoAAIARCD0AAMAIhB4AAGAEQg8AADACoQcAABiB0AMAAIxA6AEAAEYg9AAAACMQegAAgBEIPQAAwAiEHgAAYARCDwAAMAKhBwAAGIHQAwAAjEDoAQAARiD0AAAAIxB6AACAEQg9AADACIQeAABgBEIPAAAwAqEHAAAYgdADAACMQOgBAABGIPQAAAAjEHoAAIARCD0AAMAIhB4AAGAEQg8AADBCRKHnjTfe0L/9279p2LBhuvnmmzVixAitWLFCdXV1IfNef/11jRkzRgMHDtTIkSP14osvhq3V2NioP/7xj8rNzVVmZqamTZsmt9sdNu/o0aOaNm2aMjMzlZubq1WrVqmxsTHCtwkAAEzXJZLJp0+f1qBBgzR58mQlJibqk08+0fr16/XJJ59o69atkqS3335bs2fP1vjx41VaWqq33npLDz30kOLi4nTXXXcF11q2bJkqKys1f/58paSkaPPmzfrNb36jHTt2KD4+XpLk8Xg0depU9e3bV+vXr1dtba1Wrlypc+fOadGiRe1YBgAAcLWLKPSMHTs25HV2drZcLpcWLlyo2tpapaSkaNOmTRo0aJD+/d//XZI0bNgw1dTUaN26dcHQc+LECW3fvl2LFy/W+PHjJUkDBw7U8OHD9fzzz2vGjBmSpOeff15nz57Vhg0blJiYKElqaWnR0qVLNWvWLKWkpNh68wAAwBy27+kJhJGmpiY1NjbqwIEDIVd0JKmwsFBHjx7V8ePHJUl79+6Vz+cLmZeYmKjc3FxVVVUFx6qqqpSTkxP8PSSpoKBAPp9P+/bts7t1AABgkIiu9AS0tLSoublZn376qTZu3Kjbb79dqamp+vTTT9XU1KT09PSQ+RkZGZIkt9ut1NRUud1uXXvttUpISAibt3379uBrt9utcePGhcyxLEvJyclt3v8TqS5dQjNfTIwz5Gukoj0PVx+7PUQPwq7O6kFQQ7s6sn5RhZ7hw4ertrZWknTrrbfqkUcekdR6D47UGky+L/A6cNzr9Qbv2/nhvMCcwLwfriVJCQkJIfOi4XQ61KNHXJvHLCvW1tqA3R6iB2EXPdj5qKE9HVG/qEJPWVmZGhoa9Omnn2rTpk2655579MQTT7T33jqUz+eX11sfMhYT45RlxcrrbVBLiy/iNQPnA3Z7iB6EXZ3Vg6CGdl2ofpYVa+sKUFSh58Ybb5QkZWVlaeDAgRo7dqxee+01/fznP5eksG9h93q9khT8OMuyLJ05cyZsXa/XG/KRl2VZYWtJrVeMfvjRWDSam9tuxpYW33mPAZfCbg/Rg7CLHux81NCejqif7Q/M+vXrp65du+rzzz9X79691bVr17D7bQKvA/f6pKen6x//+EfYR1RutzvkfqD09PSwterq6vTVV1+F3TcEAABwIbZDz/vvv6+mpialpqbK5XIpOztbr776asicyspKZWRkKDU1VZKUl5cnp9OpXbt2Bed4PB7t3btX+fn5wbH8/Hy9+eabwStFkrRz5045nU7l5uba3ToAADBIRB9vzZ49WzfffLP69eunn/zkJ/q///s/VVRUqF+/frrjjjskSffee6+mTJmiJUuWqKCgQAcOHNDLL7+sNWvWBNf56U9/qvHjx2vVqlVyOp1KSUnRli1bFB8fr0mTJgXnTZo0Sc8884zuu+8+zZo1S7W1tVq1apUmTZrEM3oAAEBEIgo9gwYNUmVlpcrKyuT3+/Wzn/1MEyZMUFFRkVwulyTplltu0fr167V27Vpt375dPXv21LJly1RQUBCy1oIFCxQXF6dHHnlEZ8+e1ZAhQ/TEE0+EfFdXQkKCnnrqKT388MO67777FBcXp/Hjx6ukpKQd3joAADBJRKFn5syZmjlz5kXnjRgxQiNGjLjgHJfLpXnz5mnevHkXnJeRkaEnn3wykm0CAACE4clJAADACIQeAABgBEIPAAAwAqEHAAAYgdADAACMQOgBAABGIPQAAAAjEHoAAIARCD0AAMAIhB4AAGAEQg8AADACoQcAABiB0AMAAIxA6AEAAEYg9AAAACMQegAAgBEIPQAAwAiEHgAAYARCDwAAMAKhBwAAGIHQAwAAjEDoAQAARiD0AAAAIxB6AACAEQg9AADACIQeAABgBEIPAAAwAqEHAAAYgdADAACMQOgBAABGIPQAAAAjEHoAAIARCD0AAMAIhB4AAGAEQg8AADACoQcAABiB0AMAAIxA6AEAAEYg9AAAACMQegAAgBEIPQAAwAiEHgAAYARCDwAAMAKhBwAAGIHQAwAAjEDoAQAARiD0AAAAIxB6AACAEQg9AADACBGFnldeeUX33nuv8vPzlZmZqbFjx2r79u3y+/0h81544QWNHDlSAwcO1JgxY7Rnz56wterq6lRaWqqhQ4cqKytLc+bM0cmTJ8Pmvfvuu5o4caIGDRqk4cOHq6ysLOz3AwAAuJiIQs+TTz6p2NhYzZ8/X5s2bVJ+fr4WLlyojRs3Bufs2LFDCxcuVEFBgcrLy5WZmanZs2frvffeC1mruLhY+/bt05IlS7R69WpVV1drxowZam5uDs45duyYioqKlJycrC1btmjq1Klat26dtm7dau9dAwAA43SJZPKmTZuUlJQUfJ2Tk6PTp0/riSee0O9+9zs5nU6tW7dOo0aNUnFxsSRp2LBhOnLkiDZu3Kjy8nJJ0sGDB7V3715VVFQoLy9PkpSWlqbCwkLt2rVLhYWFkqSKigr16NFDjz76qFwul3JycnTq1Clt3rxZkydPlsvlao8aAAAAA0R0pef7gSegf//+OnPmjOrr61VTU6PPPvtMBQUFIXMKCwu1f/9+NTY2SpKqqqpkWZZyc3ODc9LT09W/f39VVVUFx6qqqjRixIiQcFNYWCiv16uDBw9GsnUAAGC4iK70tOWdd95RSkqKrrnmGr3zzjuSWq/afF9GRoaamppUU1OjjIwMud1upaWlyeFwhMxLT0+X2+2WJNXX1+vLL79Uenp62ByHwyG3263s7Gxbe+/SJTTzxcQ4Q75GKtrzcPWx20P0IOzqrB4ENbSrI+tnK/S8/fbbqqys1Lx58yRJHo9HkmRZVsi8wOvAca/Xq/j4+LD1EhISdPjwYUmtNzq3tZbL5VJsbGxwrWg5nQ716BHX5jHLirW1NmC3h+hB2EUPdj5qaE9H1C/q0HPixAmVlJQoOztbU6ZMac89/Sh8Pr+83vqQsZgYpywrVl5vg1pafBGvGTgfsNtD9CDs6qweBDW060L1s6xYW1eAogo9Xq9XM2bMUGJiotavXy+ns3UDCQkJklqv0iQnJ4fM//5xy7J04sSJsHU9Hk9wTuBKUOCKT0BjY6MaGhqC8+xobm67GVtafOc9BlwKuz1ED8IuerDzUUN7OqJ+Ecelc+fOadasWaqrq9Pjjz8e8jFV4P6bwH05AW63W127dlWvXr2C86qrq8Oet1NdXR1co3v37rr++uvD1gqc98N7fQAAAC4kotDT3Nys4uJiud1uPf7440pJSQk53qtXL/Xt21c7d+4MGa+srFROTk7wu7Dy8/Pl8Xi0f//+4Jzq6mp9+OGHys/PD47l5+dr9+7dampqClnLsixlZWVFsnUAAGC4iD7eWrp0qfbs2aP58+frzJkzIQ8cHDBggFwul+6//37NnTtXvXv3VnZ2tiorK3Xo0CE9++yzwblZWVnKy8tTaWmp5s2bp27dumnNmjXq16+f7rzzzuC8oqIivfTSS3rggQd0991368iRI6qoqFBJSQnP6AEAABGJKPTs27dPkrRy5cqwY7t371ZqaqpGjx6thoYGlZeXq6ysTGlpadqwYUPYlZm1a9dqxYoVWrRokZqbm5WXl6cFCxaoS5fvttSnTx9VVFRo5cqVmjlzppKSkjRnzhxNnz49mvcKAAAMFlHoef311y9p3oQJEzRhwoQLzomPj9fy5cu1fPnyC84bMmSItm3bdsl7BAAAaAtPTgIAAEYg9AAAACMQegAAgBEIPQAAwAiEHgAAYARCDwAAMAKhBwAAGIHQAwAAjEDoAQAARiD0AAAAIxB6AACAEQg9AADACIQeAABgBEIPAAAwAqEHAAAYgdADAACMQOgBAABGIPQAAAAjEHoAAIARCD0AAMAIhB4AAGAEQg8AADACoQcAABiB0AMAAIxA6AEAAEYg9AAAACN06ewNAACuLk6nQ06no7O30WliYpwhX03k8/nl8/k7exthCD0AgHbjdDqUmNjd6L/wAywrtrO30GlaWnw6fbr+sgs+hB4AQLtxOh2KiXFq9XPv6HhtXWdvB50gNSVec//1F3I6HYQeAMDV73htnY5+4ensbQAhuP4IAACMQOgBAABGIPQAAAAjEHoAAIARCD0AAMAIhB4AAGAEQg8AADACoQcAABiB0AMAAIxA6AEAAEYg9AAAACMQegAAgBEIPQAAwAiEHgAAYARCDwAAMAKhBwAAGIHQAwAAjEDoAQAARog49Bw7dkyLFi3S2LFjNWDAAI0ePbrNeS+88IJGjhypgQMHasyYMdqzZ0/YnLq6OpWWlmro0KHKysrSnDlzdPLkybB57777riZOnKhBgwZp+PDhKisrk9/vj3TrAADAYBGHnk8++URvvPGG+vTpo4yMjDbn7NixQwsXLlRBQYHKy8uVmZmp2bNn67333guZV1xcrH379mnJkiVavXq1qqurNWPGDDU3NwfnHDt2TEVFRUpOTtaWLVs0depUrVu3Tlu3bo106wAAwGBdIj3h9ttv1x133CFJmj9/vg4fPhw2Z926dRo1apSKi4slScOGDdORI0e0ceNGlZeXS5IOHjyovXv3qqKiQnl5eZKktLQ0FRYWateuXSosLJQkVVRUqEePHnr00UflcrmUk5OjU6dOafPmzZo8ebJcLldUbxwAAJgl4is9TueFT6mpqdFnn32mgoKCkPHCwkLt379fjY2NkqSqqipZlqXc3NzgnPT0dPXv319VVVXBsaqqKo0YMSIk3BQWFsrr9ergwYORbh8AABgq4is9F+N2uyW1XrX5voyMDDU1NammpkYZGRlyu91KS0uTw+EImZeenh5co76+Xl9++aXS09PD5jgcDrndbmVnZ0e91y5dQgNcTIwz5Gukoj0PVx+7PUQPwi56EJ2ts3rwQto99Hg8HkmSZVkh44HXgeNer1fx8fFh5yckJAQ/Mqurq2tzLZfLpdjY2OBa0XA6HerRI67NY5YVG/W6gGS/h+hB2EUPorNdjj3Y7qHnSuHz+eX11oeMxcQ4ZVmx8nob1NLii3jNwPmA3R6iB2EXPYjO1hE9aFmxtq4AtXvoSUhIkNR6lSY5OTk47vV6Q45blqUTJ06Ene/xeIJzAleCAld8AhobG9XQ0BCcF63m5rb/ZbS0+M57DLgUdnuIHoRd9CA62+XYg+3+gVng/pvAfTkBbrdbXbt2Va9evYLzqqurw563U11dHVyje/fuuv7668PWCpz3w3t9AAAAzqfdQ0+vXr3Ut29f7dy5M2S8srJSOTk5we/Cys/Pl8fj0f79+4Nzqqur9eGHHyo/Pz84lp+fr927d6upqSlkLcuylJWV1d7bBwAAV6mIP95qaGjQG2+8IUn64osvdObMmWDAGTp0qJKSknT//fdr7ty56t27t7Kzs1VZWalDhw7p2WefDa6TlZWlvLw8lZaWat68eerWrZvWrFmjfv366c477wzOKyoq0ksvvaQHHnhAd999t44cOaKKigqVlJTwjB4AAHDJIg49X3/9tX7/+9+HjAVeP/3008rOztbo0aPV0NCg8vJylZWVKS0tTRs2bAi7MrN27VqtWLFCixYtUnNzs/Ly8rRgwQJ16fLdtvr06aOKigqtXLlSM2fOVFJSkubMmaPp06dH834BAIChIg49qamp+vjjjy86b8KECZowYcIF58THx2v58uVavnz5BecNGTJE27Zti2ifAAAA38dTpAAAgBEIPQAAwAiEHgAAYARCDwAAMAKhBwAAGIHQAwAAjEDoAQAARiD0AAAAIxB6AACAEQg9AADACIQeAABgBEIPAAAwAqEHAAAYgdADAACMQOgBAABGIPQAAAAjEHoAAIARCD0AAMAIhB4AAGAEQg8AADACoQcAABiB0AMAAIxA6AEAAEYg9AAAACMQegAAgBEIPQAAwAiEHgAAYARCDwAAMAKhBwAAGIHQAwAAjEDoAQAARiD0AAAAIxB6AACAEQg9AADACIQeAABgBEIPAAAwAqEHAAAYgdADAACMQOgBAABGIPQAAAAjEHoAAIARCD0AAMAIhB4AAGAEQg8AADACoQcAABiB0AMAAIxA6AEAAEYg9AAAACMQegAAgBGuiNBz9OhRTZs2TZmZmcrNzdWqVavU2NjY2dsCAABXkC6dvYGL8Xg8mjp1qvr27av169ertrZWK1eu1Llz57Ro0aLO3h4AALhCXPah5/nnn9fZs2e1YcMGJSYmSpJaWlq0dOlSzZo1SykpKZ27QQAAcEW47D/eqqqqUk5OTjDwSFJBQYF8Pp/27dvXeRsDAABXlMv+So/b7da4ceNCxizLUnJystxud9TrOp0OJSXFhYw5HK1fExJi5fdHvmbg/CUzctTc4ot6b7hydYlp/f8Iuz1EDyJa9CA6W0f2oNPpsLc3W2f/CLxeryzLChtPSEiQx+OJel2Hw6GYmLaL53TauwCWGN/N1vm48tntIXoQdtGD6Gyd3YNtrtnuKwIAAFyGLvvQY1mW6urqwsY9Ho8SEhI6YUcAAOBKdNmHnvT09LB7d+rq6vTVV18pPT29k3YFAACuNJd96MnPz9ebb74pr9cbHNu5c6ecTqdyc3M7cWcAAOBK4vD7o7m3+sfj8Xg0atQopaWladasWcGHE/7yl7/k4YQAAOCSXfahR2r9MRQPP/ywDh48qLi4OI0dO1YlJSVyuVydvTUAAHCFuCJCDwAAgF2X/T09AAAA7YHQAwAAjEDoAQAARiD0AAAAIxB6AACAEQg9AADACJf9T1nvaK+//rrWrl2r6upq9ezZUzNnztS4ceMueM7x48c1YsSIsPHBgwdr27ZtHbXVTnf06FEtW7Ys5HlJxcXFF31ekt/vV3l5uf70pz/p1KlT6t+/vx588EFlZmb+OBu/TERbv9tvv11ffPFF2PihQ4fUrZs5P8n62LFjqqio0Pvvv69PPvlE6enpevnlly96Hv33nWhrSA+2euWVV/Tf//3f+uCDD+T1etWnTx9NnjxZ48aNk8PhOO959GCraOvXnv1ndOh5++23NXv2bI0fP16lpaV666239NBDDykuLk533XXXRc//wx/+oOzs7ODruLi4jtxup/J4PJo6dar69u2r9evXB5+Mfe7cuYs+Gbu8vFzr1q3T3Llz1a9fPz333HOaPn26/va3v6lXr14/0jvoXHbqJ0kjR47U9OnTQ8ZMezjnJ598ojfeeEODBw+Wz+fTpT5ijP77TrQ1lOhBSXryySf1s5/9TPPnz1ePHj305ptvauHChTpx4oRmz5593vPowVbR1k9qx/7zG2z69On+iRMnhoz94Q9/8BcUFFzwvJqaGv8NN9zgf+WVVzpye5eVzZs3+zMzM/3ffPNNcOz555/39+/f33/ixInznnfu3Dn/kCFD/I888khw7Ntvv/UPHz7cv3jx4g7c8eUl2vr5/X7/8OHD/UuXLu3gHV7+Wlpagr+eN2+ef9SoURc9h/4LFU0N/X56MODrr78OG1uwYIF/yJAhIbX9PnrwO9HUz+9v3/4z9p6exsZGHThwIOyKTmFhoY4eParjx4930s4uT1VVVcrJyVFiYmJwrKCgQD6fT/v27Tvvee+++67OnDmjgoKC4JjL5dI///M/q6qqqiO3fFmJtn74jtMZ+X+u6L9Q0dQQ30lKSgob69+/v86cOaP6+vo2z6EHvxNN/dqbsX8CPv/8czU1NSk9PT1kPCMjQ5LkdrsvusaSJUvUv39/5eTkaMGCBTp9+nRHbPWy4Ha7w2plWZaSk5MvWKvAsbbq/Pe//13nzp1r/81ehqKtX8BLL72km2++WVlZWZoxY4Y+/vjjjtrqVYX+az/0YNveeecdpaSk6JprrmnzOD14YRerX0B79Z+x9/R4PB5JrX/xfF/gdeB4W1wul+6++27l5eXJsiy9//772rx5sw4fPqwXXnhBXbt27biNdxKv1xtWK0lKSEi4YK28Xq9cLlfYzWaWZcnv98vj8egnP/lJu+/3chNt/aTWm/gGDRqknj17qqamRps3b9avf/1r/dd//ZdR9wNEg/5rH/Rg295++21VVlZq3rx5551DD57fpdRPat/+u6pCT11dnU6ePHnReXb/kF533XVasmRJ8PXQoUP1T//0T5o1a5Zee+01FRYW2lof+L4FCxYEf33LLbcoNzdXBQUFqqioCOlDoKPQg+FOnDihkpISZWdna8qUKZ29nStOJPVrz/67qkLPzp07Q4pzPpWVlUpISJDUGpS+z+v1SlLw+KW67bbb1L17d33wwQdXZeixLCusVlLrFbEL1cqyLDU2Nurbb78N+T8dr9crh8MRcZ2vVNHWry3XXXedfvGLX+iDDz5or+1dtei/jmF6D3q9Xs2YMUOJiYlav379Be+VogfDRVK/ttjpv6sq9EyYMEETJky4pLmNjY3q2rWr3G63br311uD4+T5/NV16enrYvSd1dXX66quvLlirwLHq6mrdeOONwXG3262ePXsac1k32vrBHvoP7e3cuXOaNWuW6urq9Je//EXx8fEXnE8Phoq0fu3N2BuZXS6XsrOz9eqrr4aMV1ZWKiMjQ6mpqRGtt2fPHtXX12vgwIHtuc3LRn5+vt58883glTCp9cqa0+lUbm7uec8bMmSIrrnmGr3yyivBsaamJu3atUv5+fkduufLSbT1a0ttba3eeeedq7bX2hP91zFM7cHm5mYVFxfL7Xbr8ccfV0pKykXPoQe/E0392mKn/66qKz2RuvfeezVlyhQtWbJEBQUFOnDggF5++WWtWbMmZN6AAQP0q1/9SsuXL5ckrVy5Ug6HQ5mZmbIsS4cOHdKWLVt0880364477uiMt9LhJk2apGeeeUb33XefZs2apdraWq1atUqTJk0KadypU6fq73//u1577TVJUrdu3TRr1iytX79eSUlJuuGGG/TnP/9Zp0+fVlFRUWe9nR9dtPV7+eWXtWfPHt1222267rrrVFNTo7KyMsXExGjatGmd9XY6RUNDg9544w1J0hdffKEzZ85o586dklrvq0tKSqL/LiKaGtKD31m6dKn27Nmj+fPn68yZM3rvvfeCxwYMGCCXy0UPXkA09Wvv/jM69Nxyyy1av3691q5dq+3bt6tnz55atmxZyPMUJKmlpUU+ny/4OiMjQ3/+85+1bds2nTt3TikpKRo/frzmzJmjLl2uzpImJCToqaee0sMPP6z77rtPcXFxGj9+vEpKSkLm+Xw+tbS0hIzNmDFDfr9fW7duDT6CvaKiwqjv+oi2fqmpqTp58qSWL1+uuro6xcfHa9iwYZozZ45R9ZOkr7/+Wr///e9DxgKvn376aWVnZ9N/FxFNDenB7wSeqbVy5cqwY7t371Zqaio9eAHR1K+9+8/h90fwHHIAAIArlLH39AAAALMQegAAgBEIPQAAwAiEHgAAYARCDwAAMAKhBwAAGIHQAwAAjEDoAQAARiD0AAAAIxB6AACAEQg9AADACP8fKfDOWEjugIIAAAAASUVORK5CYII=",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -459,7 +459,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 78,
+   "execution_count": 169,
    "metadata": {
     "deletable": false,
     "nbgrader": {
@@ -518,7 +518,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 79,
+   "execution_count": 170,
    "metadata": {
     "tags": [
      "solution"
@@ -529,9 +529,9 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Cluster 0: product, use, software, does, program, used, great, easy, work, just\n",
-      "Cluster 1: book, movie, like, album, cd, just, music, great, good, quot\n",
-      "Cluster 2: camera, lens, pictures, canon, digital, use, flash, battery, quality, great\n"
+      "Cluster 0: camera, product, use, lens, software, great, easy, pictures, does, good\n",
+      "Cluster 1: movie, cd, album, like, music, just, great, good, film, songs\n",
+      "Cluster 2: book, read, books, author, reading, story, like, quot, just, good\n"
      ]
     }
    ],
@@ -580,7 +580,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 80,
+   "execution_count": 171,
    "metadata": {
     "deletable": false,
     "nbgrader": {
@@ -601,7 +601,7 @@
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -665,7 +665,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 81,
+   "execution_count": 172,
    "metadata": {},
    "outputs": [
     {
@@ -719,7 +719,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 82,
+   "execution_count": 173,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -729,7 +729,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 83,
+   "execution_count": 174,
    "metadata": {
     "deletable": false,
     "nbgrader": {
@@ -778,7 +778,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 84,
+   "execution_count": 175,
    "metadata": {
     "deletable": false,
     "editable": false,
@@ -836,7 +836,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 85,
+   "execution_count": 176,
    "metadata": {
     "deletable": false,
     "nbgrader": {
@@ -873,6 +873,7 @@
     "    \"\"\"\n",
     "\n",
     "    dictionary = Dictionary(documents)\n",
+    "    dictionary.filter_extremes(no_below=20, no_above=0.5)\n",
     "    temp = dictionary[0]  # Load the dictionary\n",
     "\n",
     "    id2word = dictionary.id2token\n",
@@ -881,13 +882,13 @@
     "    model = LdaModel(\n",
     "        corpus=corpus,\n",
     "        id2word=id2word,\n",
-    "        chunksize=2000,\n",
-    "        alpha='auto',\n",
-    "        eta='auto',\n",
-    "        iterations=400,\n",
+    "        # chunksize=2000,\n",
+    "        # alpha='auto',\n",
+    "        # eta='auto',\n",
+    "        # iterations=400,\n",
     "        num_topics=num_topics,\n",
     "        passes=passes,\n",
-    "        eval_every=None\n",
+    "        # eval_every=None\n",
     "    )\n",
     "\n",
     "    return model"
@@ -904,35 +905,35 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 86,
+   "execution_count": 177,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
        "[(0,\n",
-       "  '0.009*\"people\" + 0.008*\"years\" + 0.008*\"community\" + 0.008*\"americans\" + 0.007*\"new\" + 0.007*\"year\" + 0.007*\"million\" + 0.006*\"let\" + 0.006*\"states\" + 0.006*\"congress\"'),\n",
+       "  '0.035*\"children\" + 0.027*\"care\" + 0.022*\"health\" + 0.020*\"work\" + 0.017*\"americans\" + 0.017*\"people\" + 0.015*\"welfare\" + 0.013*\"parents\" + 0.013*\"child\" + 0.013*\"help\"'),\n",
        " (1,\n",
-       "  '0.013*\"american\" + 0.012*\"children\" + 0.008*\"year\" + 0.008*\"security\" + 0.007*\"people\" + 0.006*\"new\" + 0.006*\"covenant\" + 0.006*\"social\" + 0.005*\"bosnia\" + 0.005*\"world\"'),\n",
+       "  '0.035*\"new\" + 0.030*\"america\" + 0.020*\"century\" + 0.020*\"world\" + 0.016*\"people\" + 0.012*\"community\" + 0.012*\"security\" + 0.011*\"year\" + 0.011*\"country\" + 0.010*\"challenge\"'),\n",
        " (2,\n",
-       "  '0.009*\"work\" + 0.009*\"new\" + 0.008*\"congress\" + 0.008*\"year\" + 0.008*\"security\" + 0.006*\"america\" + 0.006*\"let\" + 0.005*\"people\" + 0.005*\"pass\" + 0.005*\"responsibility\"'),\n",
+       "  '0.025*\"budget\" + 0.023*\"year\" + 0.020*\"government\" + 0.013*\"people\" + 0.013*\"years\" + 0.013*\"time\" + 0.011*\"new\" + 0.010*\"deficit\" + 0.009*\"spending\" + 0.009*\"national\"'),\n",
        " (3,\n",
-       "  '0.020*\"care\" + 0.016*\"health\" + 0.009*\"government\" + 0.009*\"new\" + 0.008*\"people\" + 0.008*\"medicare\" + 0.007*\"americans\" + 0.007*\"years\" + 0.006*\"need\" + 0.006*\"american\"'),\n",
+       "  '0.028*\"know\" + 0.015*\"america\" + 0.015*\"opportunity\" + 0.015*\"teachers\" + 0.013*\"world\" + 0.012*\"tonight\" + 0.012*\"days\" + 0.012*\"children\" + 0.010*\"laws\" + 0.009*\"new\"'),\n",
        " (4,\n",
-       "  '0.010*\"people\" + 0.010*\"years\" + 0.008*\"year\" + 0.007*\"government\" + 0.006*\"ask\" + 0.006*\"american\" + 0.006*\"work\" + 0.005*\"budget\" + 0.005*\"congress\" + 0.005*\"cut\"'),\n",
+       "  '0.026*\"work\" + 0.026*\"people\" + 0.020*\"world\" + 0.015*\"new\" + 0.015*\"year\" + 0.014*\"time\" + 0.013*\"good\" + 0.012*\"tonight\" + 0.011*\"like\" + 0.008*\"congress\"'),\n",
        " (5,\n",
-       "  '0.022*\"america\" + 0.014*\"work\" + 0.013*\"people\" + 0.009*\"congress\" + 0.008*\"welfare\" + 0.008*\"tonight\" + 0.008*\"americans\" + 0.008*\"world\" + 0.008*\"years\" + 0.007*\"year\"'),\n",
+       "  '0.019*\"security\" + 0.015*\"social\" + 0.012*\"congress\" + 0.011*\"america\" + 0.011*\"people\" + 0.010*\"ask\" + 0.010*\"world\" + 0.009*\"hand\" + 0.009*\"responsibility\" + 0.009*\"long\"'),\n",
        " (6,\n",
-       "  '0.012*\"years\" + 0.010*\"budget\" + 0.007*\"americans\" + 0.007*\"year\" + 0.006*\"world\" + 0.006*\"century\" + 0.006*\"new\" + 0.006*\"congress\" + 0.005*\"america\" + 0.005*\"support\"'),\n",
+       "  '0.021*\"america\" + 0.020*\"congress\" + 0.016*\"world\" + 0.015*\"peace\" + 0.015*\"people\" + 0.014*\"new\" + 0.012*\"american\" + 0.011*\"nation\" + 0.011*\"help\" + 0.010*\"communities\"'),\n",
        " (7,\n",
-       "  '0.016*\"new\" + 0.012*\"people\" + 0.009*\"world\" + 0.009*\"help\" + 0.009*\"america\" + 0.008*\"work\" + 0.006*\"peace\" + 0.006*\"year\" + 0.006*\"challenge\" + 0.005*\"nations\"'),\n",
+       "  '0.029*\"america\" + 0.029*\"years\" + 0.021*\"american\" + 0.021*\"let\" + 0.017*\"people\" + 0.014*\"work\" + 0.012*\"americans\" + 0.012*\"congress\" + 0.012*\"new\" + 0.010*\"security\"'),\n",
        " (8,\n",
-       "  '0.015*\"america\" + 0.012*\"people\" + 0.012*\"schools\" + 0.012*\"new\" + 0.010*\"children\" + 0.010*\"parents\" + 0.009*\"world\" + 0.009*\"education\" + 0.009*\"help\" + 0.008*\"century\"'),\n",
+       "  '0.020*\"federal\" + 0.020*\"government\" + 0.018*\"new\" + 0.015*\"people\" + 0.013*\"nuclear\" + 0.012*\"congress\" + 0.011*\"high\" + 0.011*\"americans\" + 0.010*\"help\" + 0.010*\"trade\"'),\n",
        " (9,\n",
-       "  '0.012*\"new\" + 0.010*\"children\" + 0.010*\"america\" + 0.008*\"thank\" + 0.008*\"congress\" + 0.007*\"work\" + 0.006*\"years\" + 0.006*\"college\" + 0.006*\"year\" + 0.006*\"people\"')]"
+       "  '0.021*\"education\" + 0.019*\"schools\" + 0.018*\"college\" + 0.018*\"tax\" + 0.017*\"school\" + 0.016*\"families\" + 0.016*\"years\" + 0.016*\"children\" + 0.014*\"year\" + 0.012*\"child\"')]"
       ]
      },
-     "execution_count": 86,
+     "execution_count": 177,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -967,7 +968,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 87,
+   "execution_count": 178,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -990,7 +991,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 88,
+   "execution_count": 179,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1021,14 +1022,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 91,
+   "execution_count": 180,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "[]\n"
+      "[-6.896]\n"
      ]
     }
    ],
@@ -1050,7 +1051,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 90,
+   "execution_count": 181,
    "metadata": {
     "deletable": false,
     "nbgrader": {
@@ -1067,20 +1068,23 @@
    },
    "outputs": [
     {
-     "ename": "NotImplementedError",
-     "evalue": "",
-     "output_type": "error",
-     "traceback": [
-      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
-      "\u001b[0;31mNotImplementedError\u001b[0m                       Traceback (most recent call last)",
-      "Cell \u001b[0;32mIn[90], line 2\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[39m# YOUR CODE HERE\u001b[39;00m\n\u001b[0;32m----> 2\u001b[0m \u001b[39mraise\u001b[39;00m \u001b[39mNotImplementedError\u001b[39;00m()\n",
-      "\u001b[0;31mNotImplementedError\u001b[0m: "
-     ]
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
     }
    ],
    "source": [
-    "# YOUR CODE HERE\n",
-    "raise NotImplementedError()"
+    "clear_logfile()\n",
+    "model = train_lda_model(documents, 10, passes=50)\n",
+    "likelihoods = parse_logfile()\n",
+    "\n",
+    "plt.plot(likelihoods)\n",
+    "plt.show()"
    ]
   },
   {
@@ -1094,7 +1098,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 182,
    "metadata": {
     "deletable": false,
     "nbgrader": {
@@ -1109,7 +1113,19 @@
      "task": false
     }
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "ename": "NotImplementedError",
+     "evalue": "",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[0;31mNotImplementedError\u001b[0m                       Traceback (most recent call last)",
+      "Cell \u001b[0;32mIn[182], line 2\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[39m# YOUR CODE HERE\u001b[39;00m\n\u001b[0;32m----> 2\u001b[0m \u001b[39mraise\u001b[39;00m \u001b[39mNotImplementedError\u001b[39;00m()\n",
+      "\u001b[0;31mNotImplementedError\u001b[0m: "
+     ]
+    }
+   ],
    "source": [
     "# YOUR CODE HERE\n",
     "raise NotImplementedError()"
-- 
GitLab