{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting using Matplotlib\n", "Credit matplotlib.org" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before we import matplotlib, we need to activate inline plotting in Jupyter" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [] }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we import PyPlot from Matplotlib" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [] }, "outputs": [], "source": [ "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "## Basic Plot" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot([1, 2, 4, 2])\n", "plt.ylabel(\"some numbers\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You may be wondering why the x-axis ranges from 0-3 and the y-axis from 1-4. If you provide a single list or array to the plot() command, matplotlib assumes it is a sequence of y values, and automatically generates the x values for you. Since python ranges start with 0, the default x vector has the same length as y but starts with 0. Hence the x data are [0,1,2,3].\n", "\n", "`plot()` is a versatile command, and will take an arbitrary number of arguments. For example, to plot x versus y, you can issue the command:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot([1, 2, 3, 4], [1, 4, 9, 16])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For every x, y pair of arguments, there is an optional third argument which is the format string that indicates the color and line type of the plot. The letters and symbols of the format string are from MATLAB, and you concatenate a color string with a line style string. The default format string is ‘b-‘, which is a solid blue line. For example, to plot the above with red circles, you would issue:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjAAAAGiCAYAAAD5t/y6AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAmSElEQVR4nO3df1DU953H8dcKYXFSWKMiP2RFbUwwUTFFJURp9KQhXMaTEFPD2JEYk85lsCeltgk3bbRNp+SSSU9TObz0LpKbnBdjBjVJE1pDEtQRY8Eyp7mLJxYFEhajF3aFu6wMfO8Pxk33AOvKbpYPPB8z35l8P9/P58N7v9Ppvvx+P/v92izLsgQAAGCQceEuAAAAIFAEGAAAYBwCDAAAMA4BBgAAGIcAAwAAjEOAAQAAxiHAAAAA4xBgAACAcQgwAADAOAQYAABgnIACTFlZmRYuXKiYmBhNmTJFeXl5OnXqlF+fL774QkVFRZo0aZK+9rWv6YEHHlBHR8dV57UsS0899ZQSExM1fvx4ZWdn6/Tp04F/GgAAMCYEFGBqa2tVVFSko0eP6sCBA+rp6dE999yj7u5uX5/vf//7evPNN7Vnzx7V1tbq008/VX5+/lXnffbZZ/XCCy9ox44d+vDDD3XjjTcqJydHX3zxxfV9KgAAMKrZhvMyx88++0xTpkxRbW2tvvnNb8rtdisuLk67du3SqlWrJEkff/yxZs+erbq6Ot15550D5rAsS0lJSfrBD36gTZs2SZLcbrfi4+NVWVmphx566HrLAwAAo1TkcAa73W5J0sSJEyVJDQ0N6unpUXZ2tq9Pamqqpk2bNmSAaW5ulsvl8hvjcDiUkZGhurq6QQOM1+uV1+v17ff19em///u/NWnSJNlstuF8JAAA8BWxLEuXLl1SUlKSxo0LbFnudQeYvr4+FRcXa/HixZozZ44kyeVyKSoqShMmTPDrGx8fL5fLNeg8V9rj4+OveUxZWZl++tOfXm/pAABgBGltbVVycnJAY647wBQVFenkyZM6fPjw9U5x3UpLS1VSUuLbd7vdmjZtmlpbWxUbG/uV1wMAAALn8XjkdDoVExMT8NjrCjAbNmzQW2+9pYMHD/olpoSEBF2+fFmdnZ1+V2E6OjqUkJAw6FxX2js6OpSYmOg3Zv78+YOOsdvtstvtA9pjY2MJMAAAGOZ6ln8EdMPJsixt2LBBe/fu1XvvvacZM2b4HU9PT9cNN9ygmpoaX9upU6fU0tKizMzMQeecMWOGEhIS/MZ4PB59+OGHQ44BAABjW0ABpqioSK+88op27dqlmJgYuVwuuVwu/e///q+k/sW369evV0lJid5//301NDRo3bp1yszM9FvAm5qaqr1790rqT13FxcX6+c9/rjfeeEMnTpzQ2rVrlZSUpLy8vOB9UgAAMGoEdAupoqJCkrR06VK/9p07d+rhhx+WJP393/+9xo0bpwceeEBer1c5OTn6h3/4B7/+p06d8v2CSZJ+9KMfqbu7W9/97nfV2dmpJUuWqLq6WtHR0dfxkQAAwGg3rOfAjBQej0cOh0Nut5s1MAAAGGI439+8CwkAABiHAAMAAIxDgAEAAMYhwAAAAOMQYAAAgHEIMAAAwDgEGAAAYBwCDAAAMA4BBgAAGIcAAwAAjEOAAQAAxiHAAAAA4xBgAACAcQgwAADAOAQYAABgHAIMAAAwDgEGAAAYhwADAACMQ4ABAADGIcAAAADjEGAAAIBxCDAAAMA4BBgAAGAcAgwAADAOAQYAABiHAAMAAIxDgAEAAMYhwAAAAOMQYAAAgHEIMAAAwDgEGAAAYBwCDAAAMA4BBgAAGIcAAwAAjEOAAQAAxgk4wBw8eFArVqxQUlKSbDab9u3b53fcZrMNuj333HNDzrlly5YB/VNTUwP+MAAAYGwIOMB0d3crLS1N5eXlgx5vb2/321566SXZbDY98MADV5339ttv9xt3+PDhQEsDAABjRGSgA3Jzc5Wbmzvk8YSEBL/9/fv3a9myZZo5c+bVC4mMHDAWAABgMCFdA9PR0aHf/OY3Wr9+/Z/te/r0aSUlJWnmzJlas2aNWlpahuzr9Xrl8Xj8NgAAMHaENMC8/PLLiomJUX5+/lX7ZWRkqLKyUtXV1aqoqFBzc7OysrJ06dKlQfuXlZXJ4XD4NqfTGYryAQDACGWzLMu67sE2m/bu3au8vLxBj6empupb3/qWfvWrXwU0b2dnp1JSUvTLX/5y0Ks3Xq9XXq/Xt+/xeOR0OuV2uxUbGxvQ3wIAAOHh8XjkcDiu6/s74DUw1+rQoUM6deqUdu/eHfDYCRMm6JZbblFTU9Ogx+12u+x2+3BLBAAAhgrZLaR//ud/Vnp6utLS0gIe29XVpTNnzigxMTEElQEAANMFHGC6urrU2NioxsZGSVJzc7MaGxv9Ft16PB7t2bNHjz766KBzLF++XNu3b/ftb9q0SbW1tTp79qyOHDmi+++/XxERESooKAi0PAAAMAYEfAupvr5ey5Yt8+2XlJRIkgoLC1VZWSlJevXVV2VZ1pAB5MyZM7pw4YJvv62tTQUFBbp48aLi4uK0ZMkSHT16VHFxcYGWBwAAxoBhLeIdKYazCAgAAITHcL6/eRcSAAAwDgEGAAAYhwADAACMQ4ABAADGIcAAAADjEGAAAIBxCDAAAMA4BBgAAGAcAgwAADAOAQYAABiHAAMAAIxDgAEAAMYhwAAAAOMQYAAAgHEIMAAAwDgEGAAAYJzIcBcAAPgK9PZKhw5J7e1SYqKUlSVFRIS7KuC6EWAAYLSrqpI2bpTa2r5sS06Wtm2T8vPDVxcwDNxCAoDRrKpKWrXKP7xI0ief9LdXVYWnLmCYCDAAMFr19vZfebGsgceutBUX9/cDDEOAAYDR6tChgVde/pRlSa2t/f0AwxBgAGC0am8Pbj9gBCHAAMBolZgY3H7ACEKAAYDRKiur/9dGNtvgx202yens7wcYhgADAKNVRET/T6WlgSHmyv7WrTwPBkYiwADAaJafL73+ujR1qn97cnJ/O8+BgaF4kB0AjHb5+dLKlTyJF6MKAQYAxoKICGnp0nBXAQQNt5AAAIBxCDAAAMA4BBgAAGAcAgwAADAOAQYAABiHAAMAAIxDgAEAAMYJOMAcPHhQK1asUFJSkmw2m/bt2+d3/OGHH5bNZvPb7r333j87b3l5uaZPn67o6GhlZGTo2LFjgZYGAADGiIADTHd3t9LS0lReXj5kn3vvvVft7e2+7d/+7d+uOufu3btVUlKizZs36/jx40pLS1NOTo7Onz8faHkAAGAMCPhJvLm5ucrNzb1qH7vdroSEhGue85e//KUee+wxrVu3TpK0Y8cO/eY3v9FLL72kJ598MtASAQDAKBeSNTAffPCBpkyZoltvvVWPP/64Ll68OGTfy5cvq6GhQdnZ2V8WNW6csrOzVVdXN+gYr9crj8fjtwEAgLEj6AHm3nvv1b/8y7+opqZGf/d3f6fa2lrl5uaqt7d30P4XLlxQb2+v4uPj/drj4+PlcrkGHVNWViaHw+HbnE5nsD8GAAAYwYL+MseHHnrI999z587VvHnz9PWvf10ffPCBli9fHpS/UVpaqpKSEt++x+MhxAAAMIaE/GfUM2fO1OTJk9XU1DTo8cmTJysiIkIdHR1+7R0dHUOuo7Hb7YqNjfXbAADA2BHyANPW1qaLFy8qMTFx0ONRUVFKT09XTU2Nr62vr081NTXKzMwMdXkAAMBAAQeYrq4uNTY2qrGxUZLU3NysxsZGtbS0qKurSz/84Q919OhRnT17VjU1NVq5cqVuvvlm5eTk+OZYvny5tm/f7tsvKSnRr3/9a7388sv6z//8Tz3++OPq7u72/SoJAADgTwW8Bqa+vl7Lli3z7V9Zi1JYWKiKigr9+7//u15++WV1dnYqKSlJ99xzj55++mnZ7XbfmDNnzujChQu+/dWrV+uzzz7TU089JZfLpfnz56u6unrAwl4AAABJslmWZYW7iOHyeDxyOBxyu92shwEAwBDD+f7mXUgAAMA4BBgAAGAcAgwAADAOAQYAABiHAAMAAIxDgAEAAMYhwAAAAOMQYAAAgHEIMAAAwDgEGAAAYBwCDAAAMA4BBgAAGIcAAwAAjEOAAQAAxiHAAAAA4xBgAACAcQgwAADAOAQYAABgHAIMAAAwDgEGAAAYhwADAACMQ4ABAADGIcAAAADjEGAAAIBxCDAAAMA4BBgAAGAcAgwAADAOAQYAABiHAAMAAIxDgAEAAMYhwAAAAOMQYAAAgHEIMAAAwDgEGAAAYBwCDAAAMA4BBgAAGCfgAHPw4EGtWLFCSUlJstls2rdvn+9YT0+PnnjiCc2dO1c33nijkpKStHbtWn366adXnXPLli2y2Wx+W2pqasAfBgAAjA0BB5ju7m6lpaWpvLx8wLH/+Z//0fHjx/WTn/xEx48fV1VVlU6dOqW/+qu/+rPz3n777Wpvb/dthw8fDrQ0AAAwRkQGOiA3N1e5ubmDHnM4HDpw4IBf2/bt27Vo0SK1tLRo2rRpQxcSGamEhIRrqsHr9crr9fr2PR7PNY0DAACjQ8jXwLjdbtlsNk2YMOGq/U6fPq2kpCTNnDlTa9asUUtLy5B9y8rK5HA4fJvT6Qxy1QAAYCQLaYD54osv9MQTT6igoECxsbFD9svIyFBlZaWqq6tVUVGh5uZmZWVl6dKlS4P2Ly0tldvt9m2tra2h+ggAAGAECvgW0rXq6enRt7/9bVmWpYqKiqv2/dNbUvPmzVNGRoZSUlL02muvaf369QP62+122e32oNcMAADMEJIAcyW8nDt3Tu+9995Vr74MZsKECbrlllvU1NQUivIAAIDhgn4L6Up4OX36tN59911NmjQp4Dm6urp05swZJSYmBrs8AAAwCgQcYLq6utTY2KjGxkZJUnNzsxobG9XS0qKenh6tWrVK9fX1+td//Vf19vbK5XLJ5XLp8uXLvjmWL1+u7du3+/Y3bdqk2tpanT17VkeOHNH999+viIgIFRQUDP8TAgCAUSfgW0j19fVatmyZb7+kpESSVFhYqC1btuiNN96QJM2fP99v3Pvvv6+lS5dKks6cOaMLFy74jrW1tamgoEAXL15UXFyclixZoqNHjyouLi7Q8gAAwBhgsyzLCncRw+XxeORwOOR2uwNebwMAAMJjON/fvAsJAAAYhwADAACMQ4ABAADGIcAAAADjEGAAAIBxCDAAAMA4BBgAAGAcAgwAADAOAQYAABiHAAMAAIxDgAEAAMYhwAAAAOMQYAAAgHEIMAAAwDgEGAAAYBwCDAAAMA4BBgAAGIcAAwAAjEOAAQAAxiHAAAAA4xBgAACAcQgwAADAOAQYAABgHAIMAAAwDgEGAAAYhwADAACMQ4ABAADGIcAAAADjEGAAAIBxCDAAAMA4BBgAAGAcAgwAADAOAQYAABiHAAMAAIxDgAEAAMYJOMAcPHhQK1asUFJSkmw2m/bt2+d33LIsPfXUU0pMTNT48eOVnZ2t06dP/9l5y8vLNX36dEVHRysjI0PHjh0LtDQAADBGBBxguru7lZaWpvLy8kGPP/vss3rhhRe0Y8cOffjhh7rxxhuVk5OjL774Ysg5d+/erZKSEm3evFnHjx9XWlqacnJydP78+UDLAwAAY4DNsizrugfbbNq7d6/y8vIk9V99SUpK0g9+8ANt2rRJkuR2uxUfH6/Kyko99NBDg86TkZGhhQsXavv27ZKkvr4+OZ1Ofe9739OTTz45oL/X65XX6/XtezweOZ1Oud1uxcbGXu/HAQAAXyGPxyOHw3Fd399BXQPT3Nwsl8ul7OxsX5vD4VBGRobq6uoGHXP58mU1NDT4jRk3bpyys7OHHFNWViaHw+HbnE5nMD8GAAAY4YIaYFwulyQpPj7erz0+Pt537P+7cOGCent7AxpTWloqt9vt21pbW4NQPQAAMEVkuAu4Hna7XXa7PdxlAACAMAnqFZiEhARJUkdHh197R0eH79j/N3nyZEVERAQ0BgAAjG1BDTAzZsxQQkKCampqfG0ej0cffvihMjMzBx0TFRWl9PR0vzF9fX2qqakZcgwAABjbAr6F1NXVpaamJt9+c3OzGhsbNXHiRE2bNk3FxcX6+c9/rlmzZmnGjBn6yU9+oqSkJN8vlSRp+fLluv/++7VhwwZJUklJiQoLC7VgwQItWrRIW7duVXd3t9atWzf8TwgAAEadgANMfX29li1b5tsvKSmRJBUWFqqyslI/+tGP1N3dre9+97vq7OzUkiVLVF1drejoaN+YM2fO6MKFC7791atX67PPPtNTTz0ll8ul+fPnq7q6esDCXgAAAGmYz4EZKYbzO3IAABAeI+Y5MAAAAF8FAgwAADAOAQYAABiHAAMAAIxDgAEAAMYhwAAAAOMY+S4kAGNEb6906JDU3i4lJkpZWVJERLirAjACEGAAjExVVdLGjVJb25dtycnStm1Sfn746gIwInALCcDIU1UlrVrlH14k6ZNP+turqsJTF4ARgwADYGTp7e2/8jLYQ8KvtBUX9/cDMGYRYACMLIcODbzy8qcsS2pt7e8HYMwiwAAYWdrbg9sPwKhEgAEwsiQmBrcfgFGJAANgZMnK6v+1kc02+HGbTXI6+/sBGLMIMABGloiI/p9KSwNDzJX9rVt5HgwwxhFgAIw8+fnS669LU6f6tycn97fzHBhgzONBdgBGpvx8aeVKnsQLYFAEGAAjV0SEtHRpuKsAMAJxCwkAABiHAAMAAIxDgAEAAMYhwAAAAOMQYAAAgHEIMAAAwDgEGAAAYBwCDAAAMA4BBgAAGIcAAwAAjEOAAQAAxiHAAAAA4xBgAACAcQgwAADAOAQYAABgHAIMAAAwDgEGAAAYJ+gBZvr06bLZbAO2oqKiQftXVlYO6BsdHR3ssgAAwCgSGewJf//736u3t9e3f/LkSX3rW9/Sgw8+OOSY2NhYnTp1yrdvs9mCXRYAABhFgh5g4uLi/PafeeYZff3rX9fdd9895BibzaaEhIRglwIAAEapkK6BuXz5sl555RU98sgjV72q0tXVpZSUFDmdTq1cuVIfffTRVef1er3yeDx+GwAAGDtCGmD27dunzs5OPfzww0P2ufXWW/XSSy9p//79euWVV9TX16e77rpLbW1tQ44pKyuTw+HwbU6nMwTVAwCAkcpmWZYVqslzcnIUFRWlN99885rH9PT0aPbs2SooKNDTTz89aB+v1yuv1+vb93g8cjqdcrvdio2NHXbdAAAg9DwejxwOx3V9fwd9DcwV586d07vvvquqqqqAxt1www2644471NTUNGQfu90uu90+3BIBAIChQnYLaefOnZoyZYruu+++gMb19vbqxIkTSkxMDFFlAADAdCEJMH19fdq5c6cKCwsVGel/kWft2rUqLS317f/sZz/T7373O/3xj3/U8ePH9Z3vfEfnzp3To48+GorSAADAKBCSW0jvvvuuWlpa9Mgjjww41tLSonHjvsxNn3/+uR577DG5XC7ddNNNSk9P15EjR3TbbbeFojQAADAKhHQR71dlOIuAAABAeAzn+5t3IQEAAOMQYAAAgHEIMAAAwDgEGAAAYBwCDAAAMA4BBgAAGIcAAwAAjEOAAQAAxiHAAAAA4xBgAACAcQgwAADAOAQYAABgHAIMAAAwDgEGAAAYhwADAACMQ4ABAADGIcAAAADjEGAAAIBxCDAAAMA4BBgAAGAcAgwAADAOAQYAABiHAAMAAIxDgAEAAMYhwAAAAOMQYAAAgHEIMAAAwDgEGAAAYBwCDAAAMA4BBgAAGIcAAwAAjEOAAQAAxiHAAAAA4xBgAACAcQgwAADAOEEPMFu2bJHNZvPbUlNTrzpmz549Sk1NVXR0tObOnau333472GUBAIBRJCRXYG6//Xa1t7f7tsOHDw/Z98iRIyooKND69ev1hz/8QXl5ecrLy9PJkydDURoAABgFQhJgIiMjlZCQ4NsmT548ZN9t27bp3nvv1Q9/+EPNnj1bTz/9tL7xjW9o+/btoSgNAACMAiEJMKdPn1ZSUpJmzpypNWvWqKWlZci+dXV1ys7O9mvLyclRXV3dkGO8Xq88Ho/fBgAAxo6gB5iMjAxVVlaqurpaFRUVam5uVlZWli5dujRof5fLpfj4eL+2+Ph4uVyuIf9GWVmZHA6Hb3M6nUH9DAAAYGQLeoDJzc3Vgw8+qHnz5iknJ0dvv/22Ojs79dprrwXtb5SWlsrtdvu21tbWoM0NAABGvshQ/4EJEybolltuUVNT06DHExIS1NHR4dfW0dGhhISEIee02+2y2+1BrRMAAJgj5M+B6erq0pkzZ5SYmDjo8czMTNXU1Pi1HThwQJmZmaEuDQAAGCroAWbTpk2qra3V2bNndeTIEd1///2KiIhQQUGBJGnt2rUqLS319d+4caOqq6v1/PPP6+OPP9aWLVtUX1+vDRs2BLs0AAAwSgT9FlJbW5sKCgp08eJFxcXFacmSJTp69Kji4uIkSS0tLRo37svcdNddd2nXrl368Y9/rL/927/VrFmztG/fPs2ZMyfYpQEAgFHCZlmWFe4ihsvj8cjhcMjtdis2Njbc5QAAgGswnO9v3oUEAACMQ4ABAADGIcAAAADjEGAAAIBxCDAAAMA4BBgAAGCckL9KABiTenulQ4ek9nYpMVHKypIiIsJdFQCMGgQYINiqqqSNG6W2ti/bkpOlbduk/Pzw1QUAowi3kIBgqqqSVq3yDy+S9Mkn/e1VVeGpCwBGGQIMECy9vf1XXgZ7uPWVtuLi/n4AgGEhwADBcujQwCsvf8qypNbW/n4AgGEhwADB0t4e3H4AgCERYIBgSUwMbj8AwJAIMECwZGX1/9rIZhv8uM0mOZ39/QAAw0KAAYIlIqL/p9LSwBBzZX/rVp4HAwBBQIABgik/X3r9dWnqVP/25OT+dp4DAwBBwYPsgGDLz5dWruRJvAAQQgQYIBQiIqSlS8NdBQCMWtxCAgAAxiHAAAAA4xBgAACAcQgwAADAOAQYAABgHAIMAAAwDgEGAAAYhwADAACMQ4ABAADGIcAAAADjEGAAAIBxCDAAAMA4BBgAAGAcAgwAADAOAQYAABiHAAMAAIxDgAEAAMYJeoApKyvTwoULFRMToylTpigvL0+nTp266pjKykrZbDa/LTo6OtilAQCAUSLoAaa2tlZFRUU6evSoDhw4oJ6eHt1zzz3q7u6+6rjY2Fi1t7f7tnPnzgW7NAAAMEpEBnvC6upqv/3KykpNmTJFDQ0N+uY3vznkOJvNpoSEhGCXAwAARqGQr4Fxu92SpIkTJ161X1dXl1JSUuR0OrVy5Up99NFHQ/b1er3yeDx+GwAAGDtCGmD6+vpUXFysxYsXa86cOUP2u/XWW/XSSy9p//79euWVV9TX16e77rpLbW1tg/YvKyuTw+HwbU6nM1QfAQAAjEA2y7KsUE3++OOP65133tHhw4eVnJx8zeN6eno0e/ZsFRQU6Omnnx5w3Ov1yuv1+vY9Ho+cTqfcbrdiY2ODUjsAAAgtj8cjh8NxXd/fQV8Dc8WGDRv01ltv6eDBgwGFF0m64YYbdMcdd6ipqWnQ43a7XXa7PRhlAgAAAwX9FpJlWdqwYYP27t2r9957TzNmzAh4jt7eXp04cUKJiYnBLg8AAIwCQb8CU1RUpF27dmn//v2KiYmRy+WSJDkcDo0fP16StHbtWk2dOlVlZWWSpJ/97Ge68847dfPNN6uzs1PPPfeczp07p0cffTTY5QEAgFEg6AGmoqJCkrR06VK/9p07d+rhhx+WJLW0tGjcuC8v/nz++ed67LHH5HK5dNNNNyk9PV1HjhzRbbfdFuzyAADAKBDSRbxfleEsAgIAAOExnO9v3oUEAACMQ4ABAADGIcAAAADjEGAAAIBxCDAAAMA4BBgAAGAcAgwAADAOAQYAABiHAAMAAIxDgAEAAMYhwAAAAOMQYAAAgHEIMAAAwDgEGAAAYBwCDAAAMA4BBgAAGCcy3AVgBOntlQ4dktrbpcREKStLiogId1UAAAxAgEG/qipp40apre3LtuRkads2KT8/fHUBADAIbiGhP7ysWuUfXiTpk0/626uqwlMXAABDIMCMdb29/VdeLGvgsSttxcX9/QAAGCEIMGPdoUMDr7z8KcuSWlv7+wEAMEIQYMa69vbg9gMA4CtAgBnrEhOD2w8AgK8AAWasy8rq/7WRzTb4cZtNcjr7+wEAMEIQYMa6iIj+n0pLA0PMlf2tW3keDABgRCHAoP85L6+/Lk2d6t+enNzfznNgAAAjDA+yQ7/8fGnlSp7ECwAwAgEGX4qIkJYuDXcVAAD8WdxCAgAAxiHAAAAA4xBgAACAcQgwAADAOAQYAABgHAIMAAAwDgEGAAAYhwADAACME7IAU15erunTpys6OloZGRk6duzYVfvv2bNHqampio6O1ty5c/X222+HqjQAAGC4kASY3bt3q6SkRJs3b9bx48eVlpamnJwcnT9/ftD+R44cUUFBgdavX68//OEPysvLU15enk6ePBmK8gAAgOFslmVZwZ40IyNDCxcu1Pbt2yVJfX19cjqd+t73vqcnn3xyQP/Vq1eru7tbb731lq/tzjvv1Pz587Vjx44B/b1er7xer2/f7XZr2rRpam1tVWxsbLA/DgAACAGPxyOn06nOzk45HI6Axgb9XUiXL19WQ0ODSktLfW3jxo1Tdna26urqBh1TV1enkpISv7acnBzt27dv0P5lZWX66U9/OqDd6XRef+EAACAsLl68GP4Ac+HCBfX29io+Pt6vPT4+Xh9//PGgY1wu16D9XS7XoP1LS0v9Ak9nZ6dSUlLU0tIS8AmAvytpmKtZw8e5DA7OY/BwLoOHcxkcV+6gTJw4MeCxRr6N2m63y263D2h3OBz8DylIYmNjOZdBwrkMDs5j8HAug4dzGRzjxgW+JDfoi3gnT56siIgIdXR0+LV3dHQoISFh0DEJCQkB9QcAAGNb0ANMVFSU0tPTVVNT42vr6+tTTU2NMjMzBx2TmZnp11+SDhw4MGR/AAAwtoXkFlJJSYkKCwu1YMECLVq0SFu3blV3d7fWrVsnSVq7dq2mTp2qsrIySdLGjRt199136/nnn9d9992nV199VfX19XrxxRev6e/Z7XZt3rx50NtKCAznMng4l8HBeQwezmXwcC6DYzjnMSQ/o5ak7du367nnnpPL5dL8+fP1wgsvKCMjQ5K0dOlSTZ8+XZWVlb7+e/bs0Y9//GOdPXtWs2bN0rPPPqu//Mu/DEVpAADAcCELMAAAAKHCu5AAAIBxCDAAAMA4BBgAAGAcAgwAADDOqAgw5eXlmj59uqKjo5WRkaFjx46FuyTjHDx4UCtWrFBSUpJsNtuQ76HC1ZWVlWnhwoWKiYnRlClTlJeXp1OnToW7LCNVVFRo3rx5viedZmZm6p133gl3WcZ75plnZLPZVFxcHO5SjLNlyxbZbDa/LTU1NdxlGeuTTz7Rd77zHU2aNEnjx4/X3LlzVV9ff83jjQ8wu3fvVklJiTZv3qzjx48rLS1NOTk5On/+fLhLM0p3d7fS0tJUXl4e7lKMVltbq6KiIh09elQHDhxQT0+P7rnnHnV3d4e7NOMkJyfrmWeeUUNDg+rr6/UXf/EXWrlypT766KNwl2as3//+9/rHf/xHzZs3L9ylGOv2229Xe3u7bzt8+HC4SzLS559/rsWLF+uGG27QO++8o//4j//Q888/r5tuuunaJ7EMt2jRIquoqMi339vbayUlJVllZWVhrMpskqy9e/eGu4xR4fz585Ykq7a2NtyljAo33XST9U//9E/hLsNIly5dsmbNmmUdOHDAuvvuu62NGzeGuyTjbN682UpLSwt3GaPCE088YS1ZsmRYcxh9Beby5ctqaGhQdna2r23cuHHKzs5WXV1dGCsD+rndbkm6rjet4ku9vb169dVX1d3dzStGrlNRUZHuu+8+v/+/ROBOnz6tpKQkzZw5U2vWrFFLS0u4SzLSG2+8oQULFujBBx/UlClTdMcdd+jXv/51QHMYHWAuXLig3t5excfH+7XHx8fL5XKFqSqgX19fn4qLi7V48WLNmTMn3OUY6cSJE/ra174mu92uv/7rv9bevXt12223hbss47z66qs6fvy47/UtuD4ZGRmqrKxUdXW1Kioq1NzcrKysLF26dCncpRnnj3/8oyoqKjRr1iz99re/1eOPP66/+Zu/0csvv3zNc4TkXUgA+v/Fe/LkSe6RD8Ott96qxsZGud1uvf766yosLFRtbS0hJgCtra3auHGjDhw4oOjo6HCXY7Tc3Fzff8+bN08ZGRlKSUnRa6+9pvXr14exMvP09fVpwYIF+sUvfiFJuuOOO3Ty5Ent2LFDhYWF1zSH0VdgJk+erIiICHV0dPi1d3R0KCEhIUxVAdKGDRv01ltv6f3331dycnK4yzFWVFSUbr75ZqWnp6usrExpaWnatm1buMsySkNDg86fP69vfOMbioyMVGRkpGpra/XCCy8oMjJSvb294S7RWBMmTNAtt9yipqamcJdinMTExAH/EJk9e3ZAt+SMDjBRUVFKT09XTU2Nr62vr081NTXcJ0dYWJalDRs2aO/evXrvvfc0Y8aMcJc0qvT19cnr9Ya7DKMsX75cJ06cUGNjo29bsGCB1qxZo8bGRkVERIS7RGN1dXXpzJkzSkxMDHcpxlm8ePGAR0z813/9l1JSUq55DuNvIZWUlKiwsFALFizQokWLtHXrVnV3d2vdunXhLs0oXV1dfv+KaG5uVmNjoyZOnKhp06aFsTKzFBUVadeuXdq/f79iYmJ8a7EcDofGjx8f5urMUlpaqtzcXE2bNk2XLl3Srl279MEHH+i3v/1tuEszSkxMzIA1WDfeeKMmTZrE2qwAbdq0SStWrFBKSoo+/fRTbd68WRERESooKAh3acb5/ve/r7vuuku/+MUv9O1vf1vHjh3Tiy++qBdffPHaJwnOD6LC61e/+pU1bdo0Kyoqylq0aJF19OjRcJdknPfff9+SNGArLCwMd2lGGewcSrJ27twZ7tKM88gjj1gpKSlWVFSUFRcXZy1fvtz63e9+F+6yRgV+Rn19Vq9ebSUmJlpRUVHW1KlTrdWrV1tNTU3hLstYb775pjVnzhzLbrdbqamp1osvvhjQeJtlWVaQgxUAAEBIGb0GBgAAjE0EGAAAYBwCDAAAMA4BBgAAGIcAAwAAjEOAAQAAxiHAAAAA4xBgAACAcQgwAADAOAQYAABgHAIMAAAwzv8Bdb94udjMc1wAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot([1, 2, 3, 4], [1, 4, 9, 16], \"ro\")\n", "plt.axis([0, 6, 0, 20])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Histogram" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjsAAAHHCAYAAABZbpmkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAABEQUlEQVR4nO3deXiNd/7/8VeWk10SoUmEiGi1qLUUQRcaopZS+bbVqkZHmRKUtNoxY69WaacMTRkdgy66Dp1SS2Ip7Yi1dEGVVjFIdBCxJidy//7wy2mPhJxEknPO7fm4rlxyPvfn3Od9v7N45V7O7WEYhiEAAACT8nR2AQAAABWJsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAOgiDp16qh///7OLsP0Xn31VdWtW1deXl5q1qyZs8sBTIuwA5jcggUL5OHhoW3bthW7/N5771WjRo2u+3WWL1+uCRMmXPd6bhRpaWl6/vnn1a5dO82fP18vv/zyVef2799fQUFBRcYNw9A777yju+++W6GhoQoICFDjxo01efJknT9/viLLB9yKt7MLAOB69u7dK0/P0v0ttHz5cqWmphJ4HLR27Vp5enpq3rx58vHxKfXzL126pMcee0wfffSR7rrrLk2YMEEBAQH68ssvNX78eH300UdavXq1wsPDK6B6wL0QdgAU4evr6+wSSu3cuXMKDAx0dhkOO378uPz9/csUdCRp2rRp+uijj/Tcc8/p1VdftY0PGjRIDz/8sHr16qUnn3xSn3/+eXmVDLgtDmMBKOLKc3asVqsmTpyoevXqyc/PT9WqVVP79u2Vnp4u6fJhltTUVEmSh4eH7aPQuXPn9Oyzzyo6Olq+vr667bbb9Nprr8kwDLvXvXDhgoYPH67q1aurSpUqeuCBB3TkyBF5eHjY7TGaMGGCPDw8tHv3bj322GOqWrWq2rdvL0n69ttv1b9/f9WtW1d+fn6KjIzUH/7wB504ccLutQrX8eOPP+rxxx9XSEiIbrrpJo0dO1aGYejw4cPq2bOngoODFRkZqb/+9a8O9S4/P18vvviibr75Zvn6+qpOnTr685//rNzcXNscDw8PzZ8/X+fOnbP1asGCBQ6tv7BPr776qm699VZNmTKlyPIePXooKSlJy5cv15YtWxxeL2BW7NkBbhCnT5/W//73vyLjVqu1xOdOmDBBU6ZM0VNPPaVWrVopJydH27Zt09dff61OnTrpj3/8o44ePar09HS98847ds81DEMPPPCA1q1bpwEDBqhZs2ZatWqVRo0apSNHjmj69Om2uf3799dHH32kfv36qU2bNlq/fr26det21boeeugh1atXTy+//LItOKWnp+vnn3/Wk08+qcjISO3atUtz587Vrl27tGnTJrsQJkmPPPKIGjRooFdeeUWff/65Jk+erLCwMP39739Xx44dNXXqVL333nt67rnndOedd+ruu+++Zq+eeuopLVy4UP/3f/+nZ599Vps3b9aUKVO0Z88eLVmyRJL0zjvvaO7cudqyZYv+8Y9/SJLatm1b4teh0FdffaVTp07pmWeekbd38b/Gn3jiCc2fP19Lly5Vq1atHF43YEoGAFObP3++IemaH7fffrvdc2JiYoykpCTb46ZNmxrdunW75uskJycbxf1K+fTTTw1JxuTJk+3G/+///s/w8PAw9u/fbxiGYWzfvt2QZIwYMcJuXv/+/Q1Jxvjx421j48ePNyQZjz76aJHXO3/+fJGx999/35BkbNiwocg6Bg0aZBvLz883atWqZXh4eBivvPKKbfzUqVOGv7+/XU+Ks3PnTkOS8dRTT9mNP/fcc4YkY+3atbaxpKQkIzAw8Jrru9rcGTNmGJKMJUuWXPU5J0+eNCQZvXv3dug1ADPjMBZwg0hNTVV6enqRjyZNmpT43NDQUO3atUv79u0r9esuX75cXl5eGj58uN34s88+K8MwtGLFCknSypUrJUlDhgyxmzds2LCrrvvpp58uMubv72/7/OLFi/rf//6nNm3aSJK+/vrrIvOfeuop2+deXl5q2bKlDMPQgAEDbOOhoaG67bbb9PPPP1+1FunytkpSSkqK3fizzz4rSeV2/syZM2ckSVWqVLnqnMJlhXOBGxmHsYAbRKtWrdSyZcsi41WrVi328NbvTZo0ST179tStt96qRo0aqUuXLurXr59DQengwYOKiooq8h9zgwYNbMsL//X09FRsbKzdvFtuueWq675yriSdPHlSEydO1AcffKDjx4/bLTt9+nSR+bVr17Z7HBISIj8/P1WvXr3I+JXn/VypcBuurDkyMlKhoaG2bb1ejgSZwmVcjQVwgjIAB9x999366aef9M9//lONGjXSP/7xD91xxx22802c5fd7cQo9/PDDeuutt/T0009r8eLFSktLs+01KigoKDLfy8vLoTFJRU6ovporzwsqbw0bNpR0+WTsqylcVrdu3QqtBXAHhB0ADgkLC9OTTz6p999/X4cPH1aTJk3srpC62n/wMTExOnr0aJG9ED/88INteeG/BQUFOnDggN28/fv3O1zjqVOntGbNGv3pT3/SxIkT9eCDD6pTp06V9h9+4TZcebgvKytL2dnZtm29Xu3atVNoaKgWLVqkS5cuFTvn7bfflnT5JG7gRkfYAVCiKw/fBAUF6ZZbbrG7nLrwPW6ys7Pt5nbt2lWXLl3SG2+8YTc+ffp0eXh46P7775ckJSQkSJLefPNNu3mzZs1yuM7CPTJX7oGZMWOGw+u4Hl27di329V5//XVJuuaVZaUREBCg559/Xnv37tVf/vKXIss///xzLViwQD169FDjxo3L5TUBd8Y5OwBK1LBhQ917771q0aKFwsLCtG3bNn3yyScaOnSobU6LFi0kScOHD1dCQoK8vLzUp08f9ejRQx06dNBf/vIX/fLLL2ratKnS0tL073//WyNGjNDNN99se35iYqJmzJihEydO2C49//HHHyU5dmgoODhYd999t6ZNmyar1aqaNWsqLS2tyN6iitK0aVMlJSVp7ty5ys7O1j333KMtW7Zo4cKF6tWrlzp06FBur/X8889r586dmjp1qjIyMpSYmCh/f3999dVXevfdd3X77beX6r17ADMj7AAo0fDhw/XZZ58pLS1Nubm5iomJ0eTJkzVq1CjbnN69e2vYsGH64IMP9O6778owDPXp00eenp767LPPNG7cOH344YeaP3++6tSpo1dffdV2lVKht99+W5GRkXr//fe1ZMkSxcfH68MPP9Rtt90mPz8/h2pdtGiRhg0bptTUVBmGoc6dO2vFihWKiooq155czT/+8Q/VrVtXCxYs0JIlSxQZGanRo0dr/Pjx5fo6Xl5e+uCDD9S1a1e99dZbGjNmjO1QYXx8vD7//PMyvzszYDYehqNn3AGAE+zcuVPNmzfXu+++q759+zq7HJdmtVrVo0cPrVmzRkuXLlWXLl2cXRLgEjhnB4DLuHDhQpGxGTNmyNPTs8R3LoZksVj0r3/9S82aNdNDDz1U7PsKATciDmMBcBnTpk3T9u3b1aFDB3l7e2vFihVasWKFBg0apOjoaGeX5xYCAwO1detWZ5cBuBQOYwFwGenp6Zo4caJ2796ts2fPqnbt2urXr5/+8pe/XPUeUABQEsIOAAAwNc7ZAQAApkbYAQAApsZBcF2+X87Ro0dVpUqVCr+nDQAAKB+GYejMmTOKioqSp+fV998QdiQdPXqUKz0AAHBThw8fVq1ata66nLAjqUqVKpIuNys4ONjJ1bgWq9WqtLQ0de7cWRaLxdnluDz6VXr0rHToV+nQr9Jxt37l5OQoOjra9v/41RB29Ns9d4KDgwk7V7BarQoICFBwcLBbfOM7G/0qPXpWOvSrdOhX6bhrv0o6BYUTlAEAgKkRdgAAgKkRdgAAgKkRdgAAgKkRdgAAgKkRdgAAgKkRdgAAgKkRdgAAgKkRdgAAgKkRdgAAgKkRdgAAgKkRdgAAgKkRdgAAgKkRdgAAgKkRdgAAgKl5O7sAALiaDgs7lDhnXdK6SqgEgDtjzw4AADA1wg4AADA1DmMBcGsc6gJQEvbsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAU3N62Dly5Igef/xxVatWTf7+/mrcuLG2bdtmW24YhsaNG6caNWrI399f8fHx2rdvn906Tp48qb59+yo4OFihoaEaMGCAzp49W9mbAgAAXJBTw86pU6fUrl07WSwWrVixQrt379Zf//pXVa1a1TZn2rRpmjlzpubMmaPNmzcrMDBQCQkJunjxom1O3759tWvXLqWnp2vZsmXasGGDBg0a5IxNAgAALsap98aaOnWqoqOjNX/+fNtYbGys7XPDMDRjxgyNGTNGPXv2lCS9/fbbioiI0Keffqo+ffpoz549WrlypbZu3aqWLVtKkmbNmqWuXbvqtddeU1RUVOVuFAAAcClODTufffaZEhIS9NBDD2n9+vWqWbOmhgwZooEDB0qSDhw4oMzMTMXHx9ueExISotatWysjI0N9+vRRRkaGQkNDbUFHkuLj4+Xp6anNmzfrwQcfrPTtAm503JwTgCtxatj5+eefNXv2bKWkpOjPf/6ztm7dquHDh8vHx0dJSUnKzMyUJEVERNg9LyIiwrYsMzNT4eHhdsu9vb0VFhZmm3Ol3Nxc5ebm2h7n5ORIkqxWq6xWa7ltnxkU9oO+OIZ+XeYjnxLnXNmr4nrmyHocYaavB99jpUO/Ssfd+uVonU4NOwUFBWrZsqVefvllSVLz5s31/fffa86cOUpKSqqw150yZYomTpxYZDwtLU0BAQEV9rruLD093dkluJUbvV9DQoeUOGf58uV2j4vrmSPrccSVr2UGN/r3WGnRr9Jxl36dP3/eoXlODTs1atRQw4YN7cYaNGigf/3rX5KkyMhISVJWVpZq1Khhm5OVlaVmzZrZ5hw/ftxuHfn5+Tp58qTt+VcaPXq0UlJSbI9zcnIUHR2tzp07Kzg4+Lq3y0ysVqvS09PVqVMnWSwWZ5fj8ujXZd0XdS9xzrLHlkm6ds8cWY8jCl/LDPgeKx36VTru1q/CIzMlcWrYadeunfbu3Ws39uOPPyomJkbS5ZOVIyMjtWbNGlu4ycnJ0ebNmzV48GBJUlxcnLKzs7V9+3a1aNFCkrR27VoVFBSodevWxb6ur6+vfH19i4xbLBa3+OI6A70pHXftV3mda5OnvBLnXNmf4nrmyHoc4Y5fi5K46/eYs9Cv0nGXfjlao1PDzsiRI9W2bVu9/PLLevjhh7VlyxbNnTtXc+fOlSR5eHhoxIgRmjx5surVq6fY2FiNHTtWUVFR6tWrl6TLe4K6dOmigQMHas6cObJarRo6dKj69OnDlVgAAMC5YefOO+/UkiVLNHr0aE2aNEmxsbGaMWOG+vbta5vz/PPP69y5cxo0aJCys7PVvn17rVy5Un5+frY57733noYOHar77rtPnp6eSkxM1MyZM52xSQAAwMU4NexIUvfu3dW9+9WPy3t4eGjSpEmaNGnSVeeEhYVp0aJFFVEegApSeMjMRz4aEjpE3Rd1L7fDVgDwe06/XQQAAEBFIuwAAABTI+wAAABTI+wAAABTc/oJygDciyPvxQMAroQ9OwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNQIOwAAwNS8nV0AAFS0Dgs7lDhnXdK6SqgEgDOwZwcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaNwIFbhCO3AwTAMyIsAMA4s7ogJlxGAsAAJgaYQcAAJiaU8POhAkT5OHhYfdRv3592/KLFy8qOTlZ1apVU1BQkBITE5WVlWW3jkOHDqlbt24KCAhQeHi4Ro0apfz8/MreFAAA4KKcfs7O7bffrtWrV9see3v/VtLIkSP1+eef6+OPP1ZISIiGDh2q3r176z//+Y8k6dKlS+rWrZsiIyO1ceNGHTt2TE888YQsFotefvnlSt8WAADgepwedry9vRUZGVlk/PTp05o3b54WLVqkjh07SpLmz5+vBg0aaNOmTWrTpo3S0tK0e/durV69WhEREWrWrJlefPFFvfDCC5owYYJ8fHwqe3MAAICLcXrY2bdvn6KiouTn56e4uDhNmTJFtWvX1vbt22W1WhUfH2+bW79+fdWuXVsZGRlq06aNMjIy1LhxY0VERNjmJCQkaPDgwdq1a5eaN29e7Gvm5uYqNzfX9jgnJ0eSZLVaZbVaK2hL3VNhP+iLY1y5Xz5yzfBvkcXuX1fmCl9XV/4ec0X0q3TcrV+O1unUsNO6dWstWLBAt912m44dO6aJEyfqrrvu0vfff6/MzEz5+PgoNDTU7jkRERHKzMyUJGVmZtoFncLlhcuuZsqUKZo4cWKR8bS0NAUEBFznVplTenq6s0twK67YryGhQ5xdwjUNDB3o7BJKtHz5cmeXYOOK32OujH6Vjrv06/z58w7Nc2rYuf/++22fN2nSRK1bt1ZMTIw++ugj+fv7V9jrjh49WikpKbbHOTk5io6OVufOnRUcHFxhr+uOrFar0tPT1alTJ1ksrv+Xt7O5cr+6L+ru7BKKZZFFA0MH6q3st2SVa/81ueyxZc4uwaW/x1wR/Sodd+tX4ZGZkjj9MNbvhYaG6tZbb9X+/fvVqVMn5eXlKTs7227vTlZWlu0cn8jISG3ZssVuHYVXaxV3HlAhX19f+fr6Fhm3WCxu8cV1BnpTOq7YrzzlObuEa7LK6vI1utLX1BW/x1wZ/Sodd+mXozW61PvsnD17Vj/99JNq1KihFi1ayGKxaM2aNbble/fu1aFDhxQXFydJiouL03fffafjx4/b5qSnpys4OFgNGzas9PoBAIDrceqeneeee049evRQTEyMjh49qvHjx8vLy0uPPvqoQkJCNGDAAKWkpCgsLEzBwcEaNmyY4uLi1KZNG0lS586d1bBhQ/Xr10/Tpk1TZmamxowZo+Tk5GL33AAAgBuPU8POf//7Xz366KM6ceKEbrrpJrVv316bNm3STTfdJEmaPn26PD09lZiYqNzcXCUkJOjNN9+0Pd/Ly0vLli3T4MGDFRcXp8DAQCUlJWnSpEnO2iQAAOBinBp2Pvjgg2su9/PzU2pqqlJTU686JyYmxqWukAAAAK7Fpc7ZAQAAKG+EHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGpOvTcWALiTDgs7lDhnXdK6SqgEQGmwZwcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJiat7MLAHB1HRZ2cGjeuqR1FVwJALgv9uwAAABTI+wAAABTI+wAAABTI+wAAABTI+wAAABT42oswAQcvWoLAG5E7NkBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmxqXnAFCOHHkbAG7cClQu9uwAAABTc5mw88orr8jDw0MjRoywjV28eFHJycmqVq2agoKClJiYqKysLLvnHTp0SN26dVNAQIDCw8M1atQo5efnV3L1AADAVblE2Nm6dav+/ve/q0mTJnbjI0eO1NKlS/Xxxx9r/fr1Onr0qHr37m1bfunSJXXr1k15eXnauHGjFi5cqAULFmjcuHGVvQkAAMBFOT3snD17Vn379tVbb72lqlWr2sZPnz6tefPm6fXXX1fHjh3VokULzZ8/Xxs3btSmTZskSWlpadq9e7feffddNWvWTPfff79efPFFpaamKi8vz1mbBAAAXIjTT1BOTk5Wt27dFB8fr8mTJ9vGt2/fLqvVqvj4eNtY/fr1Vbt2bWVkZKhNmzbKyMhQ48aNFRERYZuTkJCgwYMHa9euXWrevHmxr5mbm6vc3Fzb45ycHEmS1WqV1Wot7010a4X9oC+OKe9++cinXNbjyiyy2P17I7ie7w9+JkuHfpWOu/XL0TqdGnY++OADff3119q6dWuRZZmZmfLx8VFoaKjdeEREhDIzM21zfh90CpcXLruaKVOmaOLEiUXG09LSFBAQUNrNuCGkp6c7uwS3Ul79GhI6pFzW4w4Ghg50dgmVZvny5de9Dn4mS4d+lY679Ov8+fMOzXNa2Dl8+LCeeeYZpaeny8/Pr1Jfe/To0UpJSbE9zsnJUXR0tDp37qzg4OBKrcXVWa1Wpaenq1OnTrJYbpy/vMuqvPvVfVH3cqjKtVlk0cDQgXor+y1Z5R5/TV6vZY8tK/Nz+ZksHfpVOu7Wr8IjMyVxWtjZvn27jh8/rjvuuMM2dunSJW3YsEFvvPGGVq1apby8PGVnZ9vt3cnKylJkZKQkKTIyUlu2bLFbb+HVWoVziuPr6ytfX98i4xaLxS2+uM5Ab0qnvPqVpxvn3DOrrDfM9pbH9wY/k6VDv0rHXfrlaI1OO0H5vvvu03fffaedO3faPlq2bKm+ffvaPrdYLFqzZo3tOXv37tWhQ4cUFxcnSYqLi9N3332n48eP2+akp6crODhYDRs2rPRtAgAArqdMe3bWrVunDh1KfpfQa6lSpYoaNWpkNxYYGKhq1arZxgcMGKCUlBSFhYUpODhYw4YNU1xcnNq0aSNJ6ty5sxo2bKh+/fpp2rRpyszM1JgxY5ScnFzsnhsAAHDjKdOenS5duujmm2/W5MmTdfjw4fKuyWb69Onq3r27EhMTdffddysyMlKLFy+2Lffy8tKyZcvk5eWluLg4Pf7443riiSc0adKkCqsJAAC4lzLt2Tly5IjeeecdLVy4UBMnTlTHjh01YMAA9erVSz4+Zb9U9osvvrB77Ofnp9TUVKWmpl71OTExMeVyZQMAADCnMu3ZqV69ukaOHKmdO3dq8+bNuvXWWzVkyBBFRUVp+PDh+uabb8q7TgAAgDK57hOU77jjDo0ePVpDhw7V2bNn9c9//lMtWrTQXXfdpV27dpVHjQAAAGVW5rBjtVr1ySefqGvXroqJidGqVav0xhtvKCsrS/v371dMTIweeuih8qwVAACg1Mp0zs6wYcP0/vvvyzAM25VQv7+yKjAwUK+99pqioqLKrVAAAICyKFPY2b17t2bNmqXevXtf9RLv6tWra926dddVHAAAwPUq02Gs8ePH66GHHioSdPLz87VhwwZJkre3t+65557rrxAAAOA6lCnsdOjQQSdPniwyfvr06et+s0EAAIDyVKawYxiGPDw8ioyfOHFCgYGB110UAABAeSnVOTu9e/eWJHl4eKh///52h7EuXbqkb7/9Vm3bti3fCgEAAK5DqcJOSEiIpMt7dqpUqSJ/f3/bMh8fH7Vp00YDBw4s3woBAACuQ6nCzvz58yVJderU0XPPPcchKwAA4PLKdOn5+PHjy7sOAACACuFw2Lnjjju0Zs0aVa1aVc2bNy/2BOVCX3/9dbkUBwAAcL0cDjs9e/a0nZDcq1eviqoHAACgXDkcdn5/6IrDWAAAwF1c913PAQAAXJnDe3aqVq16zfN0fq+4d1cGYK/DQt5tHAAqg8NhZ8aMGRVYBgAAQMVwOOwkJSVVZB0AAAAVwuGwk5OTo+DgYNvn11I4DwAAwNlKdc7OsWPHFB4ertDQ0GLP3ym8QeilS5fKtUgAAICycjjsrF27VmFhYZKkdevWVVhBAAAA5cnhsHPPPfcU+zkAAIArK9O9sSTp1KlTmjdvnvbs2SNJatiwoZ588knb3h8AAABXUKY3FdywYYPq1KmjmTNn6tSpUzp16pRmzpyp2NhYbdiwobxrBAAAKLMy7dlJTk7WI488otmzZ8vLy0uSdOnSJQ0ZMkTJycn67rvvyrVIAACAsirTnp39+/fr2WeftQUdSfLy8lJKSor2799fbsUBAABcrzKFnTvuuMN2rs7v7dmzR02bNr3uogAAAMqLw4exvv32W9vnw4cP1zPPPKP9+/erTZs2kqRNmzYpNTVVr7zySvlXCQAAUEYOh51mzZrJw8NDhmHYxp5//vki8x577DE98sgj5VMdAADAdXI47Bw4cKAi6wAAAKgQDoedmJiYiqwDAACgQpT5TQUlaffu3Tp06JDy8vLsxh944IHrKgoAAKC8lCns/Pzzz3rwwQf13Xff2Z3HU3hzUG4ECgAAXEWZLj1/5plnFBsbq+PHjysgIEC7du3Shg0b1LJlS33xxRflXCIAAEDZlWnPTkZGhtauXavq1avL09NTnp6eat++vaZMmaLhw4drx44d5V0nAABAmZRpz86lS5dUpUoVSVL16tV19OhRSZdPYt67d2/5VQcAAHCdyrRnp1GjRvrmm28UGxur1q1ba9q0afLx8dHcuXNVt27d8q4RAACgzMoUdsaMGaNz585JkiZNmqTu3bvrrrvuUrVq1fThhx+Wa4EAAADXo0xhJyEhwfb5Lbfcoh9++EEnT55U1apVbVdkAQAAuILrep8dSTp8+LAkKTo6+rqLAQAAKG9lCjv5+fmaOHGiZs6cqbNnz0qSgoKCNGzYMI0fP14Wi6VciwQAM+mwsEOJc9YlrauESoAbQ5nCzrBhw7R48WJNmzZNcXFxki5fjj5hwgSdOHFCs2fPLtciAQAAyqpMYWfRokX64IMPdP/999vGmjRpoujoaD366KOEHQAA4DLK9D47vr6+qlOnTpHx2NhY+fj4OLye2bNnq0mTJgoODlZwcLDi4uK0YsUK2/KLFy8qOTlZ1apVU1BQkBITE5WVlWW3jkOHDqlbt24KCAhQeHi4Ro0apfz8/LJsFgAAMKEyhZ2hQ4fqxRdfVG5urm0sNzdXL730koYOHerwemrVqqVXXnlF27dv17Zt29SxY0f17NlTu3btkiSNHDlSS5cu1ccff6z169fr6NGj6t27t+35ly5dUrdu3ZSXl6eNGzdq4cKFWrBggcaNG1eWzQIAACbk8GGs34cMSVq9erVq1aqlpk2bSpK++eYb5eXl6b777nP4xXv06GH3+KWXXtLs2bO1adMm1apVS/PmzdOiRYvUsWNHSdL8+fPVoEEDbdq0SW3atFFaWpp2796t1atXKyIiQs2aNdOLL76oF154QRMmTCjVXiYAAGBODoedkJAQu8eJiYl2j6/30vNLly7p448/1rlz5xQXF6ft27fLarUqPj7eNqd+/fqqXbu2MjIy1KZNG2VkZKhx48aKiIiwzUlISNDgwYO1a9cuNW/e/LpqAgBnudoVWz7y0ZDQIeq+qLtWJa2q5KoA9+Rw2Jk/f36FFPDdd98pLi5OFy9eVFBQkJYsWaKGDRtq586d8vHxUWhoqN38iIgIZWZmSpIyMzPtgk7h8sJlV5Obm2t3CC4nJ0eSZLVaZbVay2OzTKOwH/TFMaXpl4/Y8yhJFlns/sW1/b5f/FyWjN9hpeNu/XK0zut6U8Fff/3VduPP2267TTfddFOp13Hbbbdp586dOn36tD755BMlJSVp/fr111NWiaZMmaKJEycWGU9LS1NAQECFvra7Sk9Pd3YJbsWRfg0JHVIJlbiPgaEDnV2CWxkYOlDLly93dhlug99hpeMu/Tp//rxD88oUds6dO6dhw4bp7bffVkFBgSTJy8tLTzzxhGbNmlWqwODj46NbbrlFktSiRQtt3bpVf/vb3/TII48oLy9P2dnZdnt3srKyFBkZKUmKjIzUli1b7NZXeLVW4ZzijB49WikpKbbHOTk5io6OVufOnRUcHOxw7TcCq9Wq9PR0derUiTeLdEBp+tV9UfdKqsq1WWTRwNCBeiv7LVnlHn9NOtPv+7XksSXOLsfl8TusdNytX4VHZkpSprCTkpKi9evXa+nSpWrXrp0k6auvvtLw4cP17LPPXtf77BQUFCg3N1ctWrSQxWLRmjVrbOcH7d27V4cOHbK9kWFcXJxeeuklHT9+XOHh4ZIup9Hg4GA1bNjwqq/h6+srX1/fIuMWi8UtvrjOQG9Kx5F+5SmvkqpxD1ZZ6UkpWGXlZ7IU+B1WOu7SL0drLFPY+de//qVPPvlE9957r22sa9eu8vf318MPP+xw2Bk9erTuv/9+1a5dW2fOnNGiRYv0xRdfaNWqVQoJCdGAAQOUkpKisLAwBQcHa9iwYYqLi1ObNm0kSZ07d1bDhg3Vr18/TZs2TZmZmRozZoySk5OLDTNAZem+qDv/cQOAiyhT2Dl//nyRE4MlKTw83OHjZ5J0/PhxPfHEEzp27JhCQkLUpEkTrVq1Sp06dZIkTZ8+XZ6enkpMTFRubq4SEhL05ptv2p7v5eWlZcuWafDgwYqLi1NgYKCSkpI0adKksmwWAAAwoTKFnbi4OI0fP15vv/22/Pz8JEkXLlzQxIkTbYeYHDFv3rxrLvfz81NqaqpSU1OvOicmJoaT9AAAwFWVKezMmDFDXbp0KfKmgn5+flq1ivd9AAAArqNMYadx48bat2+f3nvvPf3www+SpEcffVR9+/aVv79/uRYIAABwPUoddqxWq+rXr69ly5Zp4EDeFwMAALi2Ut8I1GKx6OLFixVRCwAAQLkr013Pk5OTNXXqVOXn55d3PQAAAOWqTOfsbN26VWvWrFFaWpoaN26swMBAu+WLFy8ul+IAAACuV5nCTmhoaJG7ngMAALiiUoWdgoICvfrqq/rxxx+Vl5enjh07asKECVyBBQAAXFapztl56aWX9Oc//1lBQUGqWbOmZs6cqeTk5IqqDQAA4LqVas/O22+/rTfffFN//OMfJUmrV69Wt27d9I9//EOenmU61xlwOx0WdrjqMh/5aEjokEqsBgBQklIllEOHDqlr1662x/Hx8fLw8NDRo0fLvTAAAIDyUKqwk5+fb7sXViGLxSKr1VquRQEAAJSXUh3GMgxD/fv3l6+vr23s4sWLevrpp+0uP+fScwAA4CpKFXaSkpKKjD3++OPlVgwAAEB5K1XYmT9/fkXVAQAAUCG4hAoAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJgaYQcAAJiat7MLAACUTYeFHUqcsy5pXSVUArg29uwAAABTI+wAAABTI+wAAABTc2rYmTJliu68805VqVJF4eHh6tWrl/bu3Ws35+LFi0pOTla1atUUFBSkxMREZWVl2c05dOiQunXrpoCAAIWHh2vUqFHKz8+vzE0BAAAuyqlhZ/369UpOTtamTZuUnp4uq9Wqzp0769y5c7Y5I0eO1NKlS/Xxxx9r/fr1Onr0qHr37m1bfunSJXXr1k15eXnauHGjFi5cqAULFmjcuHHO2CQAAOBinHo11sqVK+0eL1iwQOHh4dq+fbvuvvtunT59WvPmzdOiRYvUsWNHSdL8+fPVoEEDbdq0SW3atFFaWpp2796t1atXKyIiQs2aNdOLL76oF154QRMmTJCPj48zNg0AALgIl7r0/PTp05KksLAwSdL27dtltVoVHx9vm1O/fn3Vrl1bGRkZatOmjTIyMtS4cWNFRETY5iQkJGjw4MHatWuXmjdvXuR1cnNzlZuba3uck5MjSbJarbJarRWybe6qsB/05Tc+unqAtshi9y9KRs9Kp7T9utF/dvkdVjru1i9H63SZsFNQUKARI0aoXbt2atSokSQpMzNTPj4+Cg0NtZsbERGhzMxM25zfB53C5YXLijNlyhRNnDixyHhaWpoCAgKud1NMKT093dkluIwhoUNKnDMwdGAlVGIu9Kx0HO3X8uXLK7gS98DvsNJxl36dP3/eoXkuE3aSk5P1/fff66uvvqrw1xo9erRSUlJsj3NychQdHa3OnTsrODi4wl/fnVitVqWnp6tTp06yWPjLW5K6L+p+1WUWWTQwdKDeyn5LVrnHX0bORs9Kp7T9WvbYskqoynXxO6x03K1fhUdmSuISYWfo0KFatmyZNmzYoFq1atnGIyMjlZeXp+zsbLu9O1lZWYqMjLTN2bJli936Cq/WKpxzJV9fX/n6+hYZt1gsbvHFdQZ685s85ZU4xyqrQ/PwG3pWOo72i5/by/gdVjru0i9Ha3Tq1ViGYWjo0KFasmSJ1q5dq9jYWLvlLVq0kMVi0Zo1a2xje/fu1aFDhxQXFydJiouL03fffafjx4/b5qSnpys4OFgNGzasnA0BAAAuy6l7dpKTk7Vo0SL9+9//VpUqVWzn2ISEhMjf318hISEaMGCAUlJSFBYWpuDgYA0bNkxxcXFq06aNJKlz585q2LCh+vXrp2nTpikzM1NjxoxRcnJysXtvAADAjcWpYWf27NmSpHvvvddufP78+erfv78kafr06fL09FRiYqJyc3OVkJCgN9980zbXy8tLy5Yt0+DBgxUXF6fAwEAlJSVp0qRJlbUZAADAhTk17BiGUeIcPz8/paamKjU19apzYmJiuOIAAAAUi3tjAQAAUyPsAAAAUyPsAAAAU3OJ99kBAFSMDgs7lDhnXdK6SqgEcB727AAAAFMj7AAAAFMj7AAAAFMj7AAAAFMj7AAAAFMj7AAAAFMj7AAAAFPjfXaA33HkPUkAAO6FPTsAAMDUCDsAAMDUOIyFGwaHqADgxsSeHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGrezi4AAOBcHRZ2KHHOuqR1lVAJUDHYswMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyNsAMAAEyN20XAFBx5u3sAwI2JPTsAAMDUnBp2NmzYoB49eigqKkoeHh769NNP7ZYbhqFx48apRo0a8vf3V3x8vPbt22c35+TJk+rbt6+Cg4MVGhqqAQMG6OzZs5W4FQAAwJU5NeycO3dOTZs2VWpqarHLp02bppkzZ2rOnDnavHmzAgMDlZCQoIsXL9rm9O3bV7t27VJ6erqWLVumDRs2aNCgQZW1CQAAwMU59Zyd+++/X/fff3+xywzD0IwZMzRmzBj17NlTkvT2228rIiJCn376qfr06aM9e/Zo5cqV2rp1q1q2bClJmjVrlrp27arXXntNUVFRlbYtAADANbnsCcoHDhxQZmam4uPjbWMhISFq3bq1MjIy1KdPH2VkZCg0NNQWdCQpPj5enp6e2rx5sx588MFi152bm6vc3Fzb45ycHEmS1WqV1WqtoC1yT4X9cPW++MjH2SVIkiyy2P2LktGz0nFWv1z9d8DVuMvvMFfhbv1ytE6XDTuZmZmSpIiICLvxiIgI27LMzEyFh4fbLff29lZYWJhtTnGmTJmiiRMnFhlPS0tTQEDA9ZZuSunp6c4u4ZqGhA5xdgl2BoYOdHYJboeelU5l92v58uWV+nrlzdV/h7kad+nX+fPnHZrnsmGnIo0ePVopKSm2xzk5OYqOjlbnzp0VHBzsxMpcj9VqVXp6ujp16iSLxXX/8u6+qLuzS5B0+a/tgaED9Vb2W7LKPf4ycjZ6VjrO6teyx5ZV2muVJ3f5HeYq3K1fhUdmSuKyYScyMlKSlJWVpRo1atjGs7Ky1KxZM9uc48eP2z0vPz9fJ0+etD2/OL6+vvL19S0ybrFY3OKL6wyu3ps85Tm7BDtWWV2uJldHz0qnsvvlyj//jnD132Guxl365WiNLvs+O7GxsYqMjNSaNWtsYzk5Odq8ebPi4uIkSXFxccrOztb27dttc9auXauCggK1bt260msGAACux6l7ds6ePav9+/fbHh84cEA7d+5UWFiYateurREjRmjy5MmqV6+eYmNjNXbsWEVFRalXr16SpAYNGqhLly4aOHCg5syZI6vVqqFDh6pPnz5ciQUAACQ5Oexs27ZNHTr89jb/hefRJCUlacGCBXr++ed17tw5DRo0SNnZ2Wrfvr1WrlwpPz8/23Pee+89DR06VPfdd588PT2VmJiomTNnVvq2AAAA1+TUsHPvvffKMIyrLvfw8NCkSZM0adKkq84JCwvTokWLKqI8AABgAi57zg4AAEB5IOwAAABTI+wAAABTI+wAAABTc9k3FQQAuI4OCzuUOGdd0rpKqAQoPfbsAAAAUyPsAAAAUyPsAAAAU+OcHbg8R84VAOB8nNcDV8WeHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGqEHQAAYGrcGwtOxX2vAAAVjT07AADA1NizAwCoNNwZHc7Anh0AAGBqhB0AAGBqhB0AAGBqnLODCsOVVgAAV8CeHQAAYGqEHQAAYGqEHQAAYGqcs4My4XwcABWF9+JBeWPPDgAAMDX27AAA3A57f1Aa7NkBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmRtgBAACmxqXnKOL3l3T6yEdDQoeo+6LuylNepbx+9t5sHV5+WGcOnlFedp5uH3a7bmpxk92cI6uP6NCKQ8o7naeg2kGq93g9BdcNLvUcV+PIth9YckAH/33Qbsw/0l+tX2ldmaUCgNsg7MDlXMq9pMDagYq8O1K7Zu0qsvz45uPa/8F+3Zp0q4LrBuu/af/Vt699q1avtJJPsI/Dc1xRSdteKKBmgJqOamp77OHlURnlAW6lw8IOJf7Bxnvx3BgIO3BY9o/Z+mbqN2o/u728fLwkSRd+vaDNozarzWtt5Ffdr1xep1qTaqrWpNpVlx9edVg17qmhGnfVkCTdmnSrTnxzQsc2HFNM9xiH55TF6f2ndeBfB3T20Fnln8u3W9Z+dnv5+F9fkCpp2wt5eHrIN9T3ul4LAG4UhB047OyhswqoEWALOoVj3oHeRYLOwaUHdXDZwStXYafVy63kV610Aakgv0Bnfjmj2t1q28Y8PD1U9faqyvkpx+E5ZXH20FntfGWnasbXVL3H6yn3ZK52z9mtoJggRd0bJW//336cfl76s35e9vM111eW7S90IeuCNo7YKE+Lp4JvDlbdh+qWeV0AYHaEHTjs3KFzCooJshs7e+isgqKDisyN6hClm1rdVGT893xCS78XxHrGKhVIPiH2z/UJ9tH5Y+cdnlMW+97bp5ta3qRb+twiSQqsGajwNuE6+8tZhbcKt5sb3SFaYa3Crrm+smy/JAXfHKz6T9VXQI0A5WXn6Zd//6IdL+/QnZPvtAtcAIDLTPObMTU1Va+++qoyMzPVtGlTzZo1S61atXJ2WZWqou9EfvbwWYW3sf9P/ezBswqqXTTsWIIssgRZKrSeypR3Ok+nfzytZqOb2Y17+XpJxZwuYwmyKCAooEJqsTvMFS1VqVtFm57bpF+3/Koa99SokNcEAHdmirDz4YcfKiUlRXPmzFHr1q01Y8YMJSQkaO/evQoPDy95BSiRUWDo3H/PFQk2Zw6e0U0ti+7BqajDWJYqFsnzcvj4vbycPNueHEfmlNaZX85IhorsxTrzyxlVqVOlyPyKPoz1e5ZAiwIiA3Th+IXrXhdwo6noPxJ/j5OhnccUYef111/XwIED9eSTT0qS5syZo88//1z//Oc/9ac//cmptZXXnXkr8weyOOeOnVOBtUC+VX87Kfb0/tPKO5VX7J6dijqM5entqSp1qih7d7btkmyjwNCp3adU876aDs8pLcMwJF2+WqrwUNHZw2d1eu9pxfaOLTK/Ig9jXSn/Yr4uHL+giLYR5bI+ADAbtw87eXl52r59u0aPHm0b8/T0VHx8vDIyMpxYmeOcHWQccebQGUnSkfQjqtmppi4cv6D97+2XdPmE4Ctdz2Gs/Iv5upD1216Ki/+7qDMHz8gSZJFfNT9FJ0Rrz1t7VCW2iqrUraL/pv1XBbkFtiuvJDk0pzSC6wbL08dTP3/4s2r3qK2Lxy/qx3d+VM37airklpAi88t6GKukbZek/R/sV/Vm1eVbzffyOTuf/iIPTw+Ft2YvJuDuyusPZNhz+7Dzv//9T5cuXVJEhP1ftREREfrhhx+KfU5ubq5yc3Ntj0+fPi1JOnnypKxWa7nW53nB/d+k+rzPeZ35+YzCGobpYtZFbRuzTQE1AhTbNVZ739+rIyuPKPTJ0HJ7vXM/ntOO6Ttsj396/ydJUmSbSDVMaqjIJpHKT8zXgcUHlJeTpyq1qqjp0Kby8/GT/n9OcGTOsYxj2vP2HnWc3bHEmvwsfmr0VCPt/2S/to3dJr8wP0XfE63o+6LlccH+pJ3zPuelC5JnGd6gvKRtl6S8X/O0e/ZuWc9Z5RPko5CbQ9RiVAv5WX7bNndzPT27EdGv0nGVft03574S5zhSoyPr+eihjxyq6UpWq1Xnz5/XiRMnZLE49gfrwx8/XGH1lOTMmct/iBfufb8qw80dOXLEkGRs3LjRbnzUqFFGq1atin3O+PHjDUl88MEHH3zwwYcJPg4fPnzNrOD2e3aqV68uLy8vZWVl2Y1nZWUpMjKy2OeMHj1aKSkptscFBQU6efKkqlWrJg8P3on293JychQdHa2bbrpJU6dOVWJiorNLKjcdOnTQa6+9phYtWpTbOgv7dfjwYQUHu/atKVwFPSsd+lU69Kt03K1fhmHozJkzioqKuuY8tw87Pj4+atGihdasWaNevXpJuhxe1qxZo6FDhxb7HF9fX/n62r/7bGhoaAVX6t5+/fVXtW7d2i2++R21ffv2Clt3cHCwqXpVGehZ6dCv0qFfpeNO/QoJCSlxjtuHHUlKSUlRUlKSWrZsqVatWmnGjBk6d+6c7eosXL/Tp0+7zTc+AAC/Z4qw88gjj+jXX3/VuHHjlJmZqWbNmmnlypVFTloGAAA3HlOEHUkaOnToVQ9boex8fX01fvz4Iof9UDz6VXr0rHToV+nQr9Ixa788DKOk67UAAADcF2/SAAAATI2wAwAATI2wAwAATI2wAwAATI2wA0nSkSNH9Pjjj6tatWry9/dX48aNtW3bNttywzA0btw41ahRQ/7+/oqPj9e+ffucWLHzXLp0SWPHjlVsbKz8/f11880368UXX7S7N8uN3q8NGzaoR48eioqKkoeHhz799FO75Y705+TJk+rbt6+Cg4MVGhqqAQMG6OzZs5W4FZXnWv2yWq164YUX1LhxYwUGBioqKkpPPPGEjh49arcO+lW8p59+Wh4eHpoxY4bd+I3UL8mxnu3Zs0cPPPCAQkJCFBgYqDvvvFOHDh2yLb948aKSk5NVrVo1BQUFKTExscjdC1wVYQc6deqU2rVrJ4vFohUrVmj37t3661//qqpVq9rmTJs2TTNnztScOXO0efNmBQYGKiEhQRcvXnRi5c4xdepUzZ49W2+88Yb27NmjqVOnatq0aZo1a5Ztzo3er3Pnzqlp06ZKTU0tdrkj/enbt6927dql9PR0LVu2TBs2bNCgQYMqaxMq1bX6df78eX399dcaO3asvv76ay1evFh79+7VAw88YDePfhW1ZMkSbdq0qdhbCdxI/ZJK7tlPP/2k9u3bq379+vriiy/07bffauzYsfLz87PNGTlypJYuXaqPP/5Y69ev19GjR9W7d+/K2oTrc/234oS7e+GFF4z27dtfdXlBQYERGRlpvPrqq7ax7Oxsw9fX13j//fcro0SX0q1bN+MPf/iD3Vjv3r2Nvn37GoZBv64kyViyZIntsSP92b17tyHJ2Lp1q23OihUrDA8PD+PIkSOVVrszXNmv4mzZssWQZBw8eNAwDPpVXL/++9//GjVr1jS+//57IyYmxpg+fbpt2Y3cL8MovmePPPKI8fjjj1/1OdnZ2YbFYjE+/vhj29iePXsMSUZGRkZFlVpu2LMDffbZZ2rZsqUeeughhYeHq3nz5nrrrbdsyw8cOKDMzEzFx8fbxkJCQtS6dWtlZGQ4o2Snatu2rdasWaMff/xRkvTNN9/oq6++0v333y+JfpXEkf5kZGQoNDRULVu2tM2Jj4+Xp6enNm/eXOk1u5rTp0/Lw8PDdk8/+mWvoKBA/fr106hRo3T77bcXWU6/7BUUFOjzzz/XrbfeqoSEBIWHh6t169Z2h7q2b98uq9Vq93Nbv3591a5d2y1+rxF2oJ9//lmzZ89WvXr1tGrVKg0ePFjDhw/XwoULJUmZmZmSVOT2GxEREbZlN5I//elP6tOnj+rXry+LxaLmzZtrxIgR6tu3ryT6VRJH+pOZmanw8HC75d7e3goLC7vhe3jx4kW98MILevTRR233q6Nf9qZOnSpvb28NHz682OX0y97x48d19uxZvfLKK+rSpYvS0tL04IMPqnfv3lq/fr2kyz3z8fEpctNsd/m9ZprbRaDsCgoK1LJlS7388suSpObNm+v777/XnDlzlJSU5OTqXM9HH32k9957T4sWLdLtt9+unTt3asSIEYqKiqJfqFBWq1UPP/ywDMPQ7NmznV2OS9q+fbv+9re/6euvv5aHh4ezy3ELBQUFkqSePXtq5MiRkqRmzZpp48aNmjNnju655x5nllcu2LMD1ahRQw0bNrQba9Cgge0s/MjISEkqctZ9VlaWbdmNZNSoUba9O40bN1a/fv00cuRITZkyRRL9Kokj/YmMjNTx48ftlufn5+vkyZM3bA8Lg87BgweVnp5u26sj0a/f+/LLL3X8+HHVrl1b3t7e8vb21sGDB/Xss8+qTp06kujXlapXry5vb+8S/x/Iy8tTdna23Rx3+b1G2IHatWunvXv32o39+OOPiomJkSTFxsYqMjJSa9assS3PycnR5s2bFRcXV6m1uoLz58/L09P+R8fLy8v21xH9ujZH+hMXF6fs7Gxt377dNmft2rUqKChQ69atK71mZysMOvv27dPq1atVrVo1u+X06zf9+vXTt99+q507d9o+oqKiNGrUKK1atUoS/bqSj4+P7rzzzmv+P9CiRQtZLBa7n9u9e/fq0KFD7vF7zdlnSMP5tmzZYnh7exsvvfSSsW/fPuO9994zAgICjHfffdc255VXXjFCQ0ONf//738a3335r9OzZ04iNjTUuXLjgxMqdIykpyahZs6axbNky48CBA8bixYuN6tWrG88//7xtzo3erzNnzhg7duwwduzYYUgyXn/9dWPHjh22q4cc6U+XLl2M5s2bG5s3bza++uoro169esajjz7qrE2qUNfqV15envHAAw8YtWrVMnbu3GkcO3bM9pGbm2tbB/367fvrSldejWUYN1a/DKPkni1evNiwWCzG3LlzjX379hmzZs0yvLy8jC+//NK2jqefftqoXbu2sXbtWmPbtm1GXFycERcX56xNKhXCDgzDMIylS5cajRo1Mnx9fY369esbc+fOtVteUFBgjB071oiIiDB8fX2N++67z9i7d6+TqnWunJwc45lnnjFq165t+Pn5GXXr1jX+8pe/2P3Hc6P3a926dYakIh9JSUmGYTjWnxMnThiPPvqoERQUZAQHBxtPPvmkcebMGSdsTcW7Vr8OHDhQ7DJJxrp162zroF+/fX9dqbiwcyP1yzAc69m8efOMW265xfDz8zOaNm1qfPrpp3bruHDhgjFkyBCjatWqRkBAgPHggw8ax44dq+QtKRsPw/jd274CAACYDOfsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAAAAUyPsAHAJv/76qwYPHqzatWvL19dXkZGRSkhI0H/+859Kr+WXX36Rh4eHdu7cWemvDaD8eTu7AACQpMTEROXl5WnhwoWqW7eusrKytGbNGp04caJS68jLy6vU1wNQ8dizA8DpsrOz9eWXX2rq1Knq0KGDYmJi1KpVK40ePVoPPPCAJMnDw0N///vf1b17dwUEBKhBgwbKyMjQ/v37de+99yowMFBt27bVTz/9ZFvvTz/9pJ49eyoiIkJBQUG68847tXr1arvXrlOnjl588UU98cQTCg4O1qBBgxQbGytJat68uTw8PHTvvfdKkr744gu1atVKgYGBCg0NVbt27XTw4MHKaRKAMiPsAHC6oKAgBQUF6dNPP1Vubu5V5xWGkp07d6p+/fp67LHH9Mc//lGjR4/Wtm3bZBiGhg4dapt/9uxZde3aVWvWrNGOHTvUpUsX9ejRQ4cOHbJb72uvvaamTZtqx44dGjt2rLZs2SJJWr16tY4dO6bFixcrPz9fvXr10j333KNvv/1WGRkZGjRokDw8PCqmKQDKj5NvRAoAhmEYxieffGJUrVrV8PPzM9q2bWuMHj3a+Oabb2zLJRljxoyxPc7IyDAkGfPmzbONvf/++4afn981X+f22283Zs2aZXscExNj9OrVy25O4Z3Gd+zYYRs7ceKEIcn44osvyrqJAJyEPTsAXEJiYqKOHj2qzz77TF26dNEXX3yhO+64QwsWLLDNadKkie3ziIgISVLjxo3txi5evKicnBxJl/fsPPfcc2rQoIFCQ0MVFBSkPXv2FNmz07JlyxLrCwsLU//+/ZWQkKAePXrob3/7m44dO3Y9mwygkhB2ALgMPz8/derUSWPHjtXGjRvVv39/jR8/3rbcYrHYPi88fFTcWEFBgSTpueee05IlS/Tyyy/ryy+/1M6dO9W4ceMiJyEHBgY6VN/8+fOVkZGhtm3b6sMPP9Stt96qTZs2lW1jAVQawg4Al9WwYUOdO3euzM//z3/+o/79++vBBx9U48aNFRkZqV9++aXE5/n4+EiSLl26VGRZ8+bNNXr0aG3cuFGNGjXSokWLylwfgMrBpecAnO7EiRN66KGH9Ic//EFNmjRRlSpVtG3bNk2bNk09e/Ys83rr1aunxYsXq0ePHvLw8NDYsWNte32uJTw8XP7+/lq5cqVq1aolPz8/nTx5UnPnztUDDzygqKgo7d27V/v27dMTTzxR5voAVA7CDgCnCwoKUuvWrTV9+nT99NNPslqtio6O1sCBA/XnP/+5zOt9/fXX9Yc//EFt27ZV9erV9cILL9jO57kWb29vzZw5U5MmTdK4ceN011136cMPP9QPP/yghQsX6sSJE6pRo4aSk5P1xz/+scz1AagcHoZhGM4uAgAAoKJwzg4AADA1wg4AADA1wg4AADA1wg4AADA1wg4AADA1wg4AADA1wg4AADA1wg4AADA1wg4AADA1wg4AADA1wg4AADA1wg4AADC1/wdChOgQB0tw6gAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Generate data\n", "mu, sigma = 100, 15\n", "x = mu + sigma * np.random.randn(10000)\n", "\n", "# Create a histogram of the data\n", "plt.hist(x, 50, facecolor=\"g\", alpha=0.75)\n", "\n", "# Add some Labels\n", "plt.title(\"Histogram of IQ\")\n", "plt.xlabel(\"Smarts\")\n", "plt.ylabel(\"Probability\")\n", "\n", "# Add some text at position (60, .025). Notice, matplotlib supports TeX equation expressions\n", "plt.text(60, 0.025, r\"$\\mu=100,\\ \\sigma=15$\")\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pie Chart" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "# The slices will be ordered and plotted counter-clockwise.\n", "labels = \"Frogs\", \"Hogs\", \"Dogs\", \"Logs\"\n", "fracs = [15, 30, 45, 10]\n", "explode = (0, 0.05, 0, 0.1)\n", "\n", "plt.pie(fracs, explode=explode, labels=labels, autopct=\"%1.1f%%\", shadow=True)\n", "plt.title(\"Raining Hogs and Dogs\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }