{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Area of a circle using Monte-Carlo"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "_Written by Jean-Loup Tastet on 2018-02-06._\n",
    "\n",
    "_Inspired by D. Jason Koskinen's code._\n",
    "\n",
    "Without knowing the value of $\\pi$, calculate the area of a circle and make a plot of the method.\n",
    "Hint: use $x^2+y^2=r^2$ and Monte-Carlo rejection sampling (accept / reject method)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from numpy.random import rand, seed\n",
    "# Don't print full arrays, but just their beginning and end.\n",
    "np.set_printoptions(threshold=20, edgeitems=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Seed the NumPy random number generator, for reproducibility\n",
    "seed(42) # Comment out this line to get random results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Randomly sample from the circle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sample_in_circle(Nthrows, radius):\n",
    "    '''\n",
    "    Samples `Nthrows` points from a circle of given radius,\n",
    "    centered at the origin.\n",
    "    '''\n",
    "    # Draw random numbers in [0,1).\n",
    "    xunit = rand(Nthrows)\n",
    "    yunit = rand(Nthrows)\n",
    "    # Rescale them linearly such that their distribution is uniform\n",
    "    # over the interval [-radius, +radius).\n",
    "    x = radius * (2*xunit-1)\n",
    "    y = radius * (2*yunit-1)\n",
    "    # Compute the distance of each point to the center / origin.\n",
    "    r = np.sqrt(x**2 + y**2)\n",
    "    # Check which points are inside the circle.\n",
    "    inside_circle = r < radius\n",
    "    return x, y, inside_circle"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's try with $100$ throws and $r=5.2$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "Nthrows = 100\n",
    "radius = 5.2\n",
    "x, y, inside = sample_in_circle(Nthrows, radius)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-1.30478276,  4.68742879,  2.41273699,  1.02604824, -3.57740614,\n",
       "       ..., -0.0645258 ,  0.23642143, -0.75357341, -4.93564108,\n",
       "       -4.07792916])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-4.87313647,  1.41866828, -1.9306978 ,  0.08913519,  4.23869133,\n",
       "       ..., -1.56822042,  2.34993906,  4.1299467 ,  4.02569881,\n",
       "        2.91070568])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ True,  True,  True,  True, False, ...,  True,  True,  True, False,\n",
       "        True])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "inside"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Doesn't seem too bad. But how can we make sure that it indeed works properly?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Let's plot it!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.patches import Circle, Rectangle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_samples(x, y, inside, radius, save_to=None):\n",
    "    '''\n",
    "    Plots our random points, along with the circle and\n",
    "    the square in which the points are drawn.\n",
    "    Accepted points are in blue, rejected ones in red.\n",
    "    '''\n",
    "    fig, ax = plt.subplots(figsize=(7,7))\n",
    "    # Let's use blue for points inside the circle,\n",
    "    # and red for points outside.\n",
    "    color = np.where(inside, 'b', 'r')\n",
    "    ax.scatter(x, y, color=color)\n",
    "    ax.set_xlabel('$x$')\n",
    "    ax.set_ylabel('$y$', rotation='horizontal')\n",
    "    # Set the aspect ratio to 1:1\n",
    "    ax.set_aspect('equal')\n",
    "    ax.grid(color='80', linestyle=':')\n",
    "    circle = Circle((0, 0), radius, facecolor='none',\n",
    "        edgecolor='k', linewidth=2, linestyle=':')\n",
    "    square = Rectangle((-radius, -radius), 2*radius, 2*radius,\n",
    "        facecolor='none', edgecolor='k', linewidth=2)\n",
    "    ax.add_patch(circle)\n",
    "    ax.add_patch(square)\n",
    "    # Use this option to save the figure.\n",
    "    # The format is inferred from the file extension.\n",
    "    if save_to is not None:\n",
    "        fig.savefig(save_to)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 426,
       "width": 427
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_samples(x, y, inside, radius)\n",
    "#plot_samples(x, y, inside, radius, save_to=\"circle.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Now let's estimate the area of the circle"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We draw from a square of area $A_{\\mathrm{sq}} = (2r)^2$, and we accept a fraction $f_{\\mathrm{acc}}$ of the points. Since the distribution is uniform, the expectation value for this fraction is:\n",
    "\n",
    "$$\\mathbb{E}[f_{\\mathrm{acc}}] = \\frac{A_{\\mathrm{circ}}}{A_{\\mathrm{sq}}}$$\n",
    "\n",
    "frow what it follows:\n",
    "\n",
    "$$A_{\\mathrm{circ}} = 4 r^2 \\mathbb{E}[f_{\\mathrm{acc}}]$$\n",
    "\n",
    "Given a finite number of throws, we can approximate:\n",
    "\n",
    "$$A_{\\mathrm{circ}} \\approx 4 r^2 f_{\\mathrm{acc}}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def estimate_area(Nthrows, inside, radius):\n",
    "    'Estimates the area of the circle as A ≈ 4r²×f_acc.'\n",
    "    f_acc = np.sum(inside) / Nthrows\n",
    "    area = 4 * radius**2 * f_acc\n",
    "    return area"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "88.69120000000001"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "estimate_area(Nthrows, inside, radius)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's compare this result to the exact area $A_{\\mathrm{circ}} = \\pi r^2$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "84.94866535306801"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.pi * radius**2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Not too bad! (But not really good either...)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Now let's do $1000$ trials"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "def generate_area_estimate(Nthrows, radius):\n",
    "    'Randomly samples points and estimates the area.'\n",
    "    # Notice how, when using functions, our global variables\n",
    "    # `x`, `y` and `inside` defined above are **not** affected.\n",
    "    # Here, `x`, `y` and `inside` are new local variables.\n",
    "    x, y, inside = sample_in_circle(Nthrows, radius)\n",
    "    area = estimate_area(Nthrows, inside, radius)\n",
    "    return area"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def generate_multiple_area_estimates(Ntrials, Nthrows, radius):\n",
    "    'Samples points and estimates the area for multiple independent trials.'\n",
    "    areas = np.zeros(Ntrials)\n",
    "    for i in range(Ntrials):\n",
    "        areas[i] = generate_area_estimate(Nthrows, radius)\n",
    "    return areas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "Ntrials = 1000\n",
    "areas = generate_multiple_area_estimates(Ntrials, Nthrows, radius)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's histogram the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_areas(areas, binwidth):\n",
    "    '''\n",
    "    Plots a histogram of the area estimates.\n",
    "    The `binwidth` parameter allows to specify a precise bin width.\n",
    "    '''\n",
    "    fig, ax = plt.subplots(figsize=(8,6))\n",
    "    # Here we need to use precise bin widths.\n",
    "    # The following code is inspired by this answer:\n",
    "    #     https://stackoverflow.com/a/12176344\n",
    "    edges = np.arange(np.min(areas), np.max(areas)+binwidth, binwidth)\n",
    "    # Pass the bin edges to hist()\n",
    "    ax.hist(areas, bins=edges)\n",
    "    ax.set_title('Bin width: {}'.format(binwidth))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 372,
       "width": 488
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_areas(areas, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 372,
       "width": 488
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_areas(areas, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA9EAAALpCAYAAAC0bqUHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzs3Xu0pXdd3/HPVweTgCYB5GapDrEGAoiYUJREQ8RLkUFAiTVdWqUIVkuKCEFnKdTURe1ooVwVVlEILa4mNSzQOAjYhhAkXEqiRQsGkIw2LbcwkAC5QMKvf+znOMeTs898Z+acs+fMeb3WOuuZ/fye59m/fcgKec9z2TXGCAAAAHBwX7XoCQAAAMBWIaIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaBLRAAAA0CSiAQAAoElEAwAAQJOIBgAAgCYRDQAAAE0iGoBtqarOqapRVfsWPZfDdaSfoar2Tfufc5j7j+ln5+HsDwBbkYgGYEuqqouWRdzynzuqan9V/WlVPbuqTlj0XLeaqnp4VV1YVU9Z9FwOpqq+r6ouq6pPVdWtVfXXVfXSqrrPERzziVX1kumfob+pqpunn49U1e9W1enr+RkA2FpENABb3ZeTfHLZz+eT3D3JWUlelOT9VXWvVfa7Ocm1Sf56k+a5ETbqMzw8ya8meco6H3ddVdWvJPmTJI9Pcs8ktyU5Jckzk/xFVT30MA/9G0l+PrN/hr5xOu5dkvyjJE9N8j+r6oIjmz0AW5WIBmCru2qMcd9lPycnOTnJBUm+kuTBSfas3GmM8b4xxoPGGN+7yfNdN8fCZzhcVfW4JC+YXr4oycljjJOSPDTJnye5V5I/qKrjDuPwl2QWy6cmOW6McfckxyX59iR7M/vvp/9QVd99ZJ8CgK1IRANwzBlj3DjGeFGS351W/dAi58OG+PVp+cYxxgVjjM8nyRjjf2f2v/cXMjsr/TOHeuAxxq+OMV47xvjIGONL07qvjDH+PMmPJPnYtOlTjvAzALAFiWgAjmUfmJZ3Wzmw1kO5quqKaewpVXXCdH/wtVV1y3Tv7cVV9S2HMpGq+prpvtpRVQ9ZZfyyZfd13+l+3qp699KcOp9h2TY/XlXvqaovTPeKX15Vu9bYfiR57fTy0avcc37OnP2+sapeXVXXV9VtVXVdVb2wqk6c+0s5TNPv79uml/9h5fgY4/ok/3V6+ePr+d5TVP+v6eU3rOexAdgaRDQAx7JvnZYfPcz9T0zyrszuD/6mJCOzy4R/LMl7quqbuwea4us908uzl49V1Vcl+a5lq1aO3y3JI6aX7+i+Z1W9Isnrk3xHkhOSVJJzkvxRVT1zzm6fTHLT9OeV95t/MsmXVtnn25L8WZKnZfY7+6okO5M8J8n/qKq7rDK3cw4W5mv4nml5Y5L3ztnmrdPykVX1tYd4/Lmq6vjMLutOkuvW67gAbB0iGoBjTlWdWFXPyizqkuTFh3mof5vZQ8oem9nZ7K/NLHCvT3KPJP/+EI935bR89Ir135bZfdyfnzN+ZpIdSf7PGKMVblX140meMb18YZJ7Tvf23i/Jf57W3emBa2OM+2b2UK3kzveb33eMcdUqb3dRZvchf+sY48TMfk8/ndkDuR6R5OmdOR+CB0/LD40xvjJnmw9Oy0ryoCN9w6q6xxT7f5TZXxDckeRVR3pcALYeEQ3AVndmVX1i2c/nMjtD+eLMLrv9yTHGRYd57OOSfP8Y461jjDum+2LfmeRZ0/gTquprDuF4S2eRV0by0uvfyuxhaPPGW2ehq6oy+wuAJHndGOO5Y4zPJckY45OZ3cv7jiR3bc98bf83yePGGH85vcdtY4zXJHn1NH7uOr3PkvtNy/+3xjbLx+43d6s1VNVPLJ0tT/KZJG9P8r1JPpXkiWOMD6x5AACOSSIagK3uLknus+znpGVj90hy7ykqD8elY4zVLgX/w8wu7T4us6896npPZpdD37eqTl22fimS35jkL5M8pKruucp491LuhydZutT8TmfLxxgjBx7MtR7+4xjjtlXWv2la3umrpsYYV4wxavq54hDfb+ke91vW2ObmZX8+3Mu5b8nsEvZPZfaXG8kspp+dA5eLA7DNiGgAtrp3LIuxyuyy51OS/KvM4umFSX7nMI/9P1dbOcb4cmZhlcwu924ZY9yy7JiPTv7urPF3Z3Yp9zWZhXJlui+6qk5I8shpn25Enz4tPznGuHbONlclub0794NY9feU2Rnq5BB+R0eTMcYbpkvY75PZWfvvTvKhzO4zf1tVnbTmAQA4JoloAI4p02XX140xXpkDT2Z+alV911r7zfH5NcZunZZ3emjWQay8pPuhSe6Z5F1jjNtXGf/OJF+T5ONjjI8032PpXue5lztPZ45v6E76IOb9npZ+RzvW6X2WfHFanrDGNssvVf/Ckb7hdIn6n2b2ULP3TstfO9LjArD1iGgAjlljjLcm+cT08p8uci7LrHy42MpLteeNL63nwF8OrPUVU8vHPr5ebzz9RcfSA8Weul7HBWDrENEAHOv+dlqestBZHPCuzC6jvn9VnZIDkXxFkowxPp3Zk6UfVlUn59Dvh06ST0/LuZE5PRDt6w/hmEeTpSdvnzZ9Pdhqlp7gPTK7BHs9LV2m/rVVde91PjYARzkRDcCx7h9Myy8vdBaTMcYXMvtO5WT2nc1nZ3Z58vuXbXZlZv8f/X2ZXc6dHFpEXzMt77PiAWbLLX1t1mqWHqJ1uA9k22hvn5YnJfnHc7b5gWn53jHGF+dsc7gesOzPR3ypOABbi4gG4JhVVWflQERfs9a2m2wpiH82yb1z4H7oleO/mOT4JJ8eY3wwfX+eZOmp4r+0cnB6mNnuNfa/aVqefAjvuWmm38X/ml4+d+V4VX1Dkn82vfy9Qzl2Va15//b0oLfzp5fXjDFuXmt7AI49IhqAY05VnVBVT0ryX6dVNyd5zQKntNLS/c1LZ1FXnmV+x4rxQ7ofevoKqwunl0+tqt+YLg1PVd0ns9/FY/L3vwZquf89LR9cVd9xKO/dVVXnLH0Hc1WdcxiH+OVp+eSq+s2q+rrpuA9OclmSr0vysRz4rurl7/2UZe+9c8Xwj1fVG6vq8VV192X7HFdV35/Z/zbfOq32YDGAbUhEA7DVnVlVn1j28+nM4vCNSf5hZpdK/9gY4/+ueZTN9c4cuGQ6me6HXjLG+HiS5U/iPpRLuZeO8XtJfmt6+YtJbqiq/Zk9ZOspSS7IgXunV+77kczCfUeS91TVZ6pq3/Tznavts9nGGG9O8vzp5XOTfLaqbszsLwBOz+zJ40+c8/3Va6kkT8osxPdX1U1VdUNm/xy9LbO/2LgtyfljjD848k8CwFYjogHY6u6S5D7Lfr4+s/tUP5DkRUkeMsb4o8VN787GGJ/LbH7JLPhX+57l5eF8WE/mHmOcn+QnMvtKptsyC8R3JHn8GONlB9n9R5L8dpLrMvu+7W+afo4/nLlshDHGC5J8f5K9ST6b5LjMzj6/LMlDxxh/eRiH3ZvZZfa/n+SvMnsI3EmZXeL+viR7kjx4jPFbc48AwDGtZld8AQAAAAfjTDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaNqx6AkcLarquiQnJtm34KkAAACw/nYmuWmM8YAjOYiIPuDEE0444R6nnXbaPRY9EQAAANbXhz70odxyyy1HfBwRfcC+00477R5XX331oucBAADAOjvjjDNyzTXX7DvS47gnGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaBLRAAAA0CSiAQAAoElEAwAAQJOIBgAAgCYRDQAAAE0iGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBpx6InAABsfTt37507tm/Prk2cCQBsLGeiAQAAoElEAwAAQJOIBgAAgCYRDQAAAE0iGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAICmHYueAADA0Wbn7r1zx/bt2bWJMwHgaONMNAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmtYloqvq3Kp6eVW9s6puqqpRVa8/yD5nVtWbq2p/Vd1SVR+oqmdV1Vevsc/jq+qKqrqxqr5QVe+tqp9aj88AAAAAB7NjnY7zvCTfluQLSa5P8qC1Nq6qJyZ5Q5Jbk1ySZH+SH0ry4iRnJfnRVfY5P8nLk3wmyeuTfCnJuUkuqqpvHWNcsE6fBQAAAFa1Xpdz/0KSU5OcmOTn1tqwqk5M8uokdyQ5Z4zx02OM5yZ5eJJ3Jzm3qs5bsc/OJC/MLLYfMcZ4xhjjF5I8LMlfJ3lOVT1qnT4LAAAArGpdInqM8fYxxkfGGKOx+blJ7pXk4jHG+5cd49bMzmgndw7xpyY5Lskrxhj7lu3z2SS/Pr382cOcPgAAALQs4sFij5mWb1ll7MokNyc5s6qOa+7zxyu2AQAAgA2xiIh+4LT88MqBMcbtSa7L7F7tU5r7fDzJF5Pcv6ruur5TBQAAgAPW68Fih+KkaXnjnPGl9Scf4j53m7a7ea03r6qr5wyt+TA0AAAA8D3RAAAA0LSIM9FLZ5NPmjO+tP5zK/b5+mnsM2vsM+9M9d8ZY5yx2vrpDPXpB9sfAACA7WsRZ6KvnZanrhyoqh1JHpDk9iQfa+5zv8wu5b5+jLHmpdwAAABwJBYR0ZdPy8euMnZ2krsmuWqMcVtznx9csQ0AAABsiEVE9KVJbkhyXlU9YmllVR2f5AXTy1eu2Oe1SW5Lcn5V7Vy2z92T/PL08lUbNF8AAABIsk73RFfVk5I8aXp532n5qKq6aPrzDWOMC5JkjHFTVT09s5i+oqouTrI/yRMy+yqrS5Ncsvz4Y4zrquq5SV6W5P1VdUmSLyU5N8n9k7xojPHu9fgsAAAAMM96PVjs4Ul+asW6U3Lgu57/JskFSwNjjDdV1aOT/EqSJyc5PslHkzw7ycvGGGPlG4wxXl5V+6bj/GRmZ9E/mOR5Y4zXrdPnAAAAgLnWJaLHGBcmufAQ93lXkscd4j6XJbnsUPYBAACA9eJ7ogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgaceiJwAAbJ6du/fOHdu3Z9cmzgQAtiZnogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaBLRAAAA0CSiAQAAoElEAwAAQJOIBgAAgCYRDQAAAE0iGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaBLRAAAA0CSiAQAAoElEAwAAQJOIBgAAgCYRDQAAAE0iGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaBLRAAAA0CSiAQAAoElEAwAAQJOIBgAAgCYRDQAAAE0iGgAAAJp2LHoCAACHa+fuvXPH9u3ZtYkzAWC7cCYaAAAAmkQ0AAAANIloAAAAaBLRAAAA0CSiAQAAoMnTuQEAtjlPOQfocyYaAAAAmkQ0AAAANIloAAAAaBLRAAAA0CSiAQAAoElEAwAAQJOIBgAAgCYRDQAAAE0iGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNC43oqtpVVW+rquur6paq+lhV/X5VPWrO9mdW1Zurav+0/Qeq6llV9dWbPXcAAAC2n4VFdFX9RpI/SnJ6krckeWmSa5I8Mcm7quonVmz/xCRXJjk7yRuTvCLJ1yR5cZKLN2/mAAAAbFc7FvGmVXXfJBck+WSSh40xPrVs7HuSXJ7k15K8flp3YpJXJ7kjyTljjPdP658/bXtuVZ03xhDTAAAAbJhFnYn+pum937s8oJNkjPH2JJ9Pcq9lq8+dXl+8FNDTtrcmed708uc2dMYAAABse4uK6I8k+VKSR1bV1y8fqKqzk3xdkv++bPVjpuVbVjnWlUluTnJmVR23AXMFAACAJAuK6DHG/iS/lOQ+ST5YVf+pqv59Vf23JG9L8idJ/uWyXR44LT+8yrFuT3JdZpemn7KhEwcAAGBbW8g90UkyxnhJVe1L8pokT1829NEkF624zPukaXnjnMMtrT/5YO9bVVfPGXrQwfYFAABge1vk07l/McmlSS5K8s1J7pbkjCQfS/J7VfWbi5obAAAArGZRT+c+J8lvJHnjGOPZy4auqaofzuyy7edU1avGGB/LgTPNJ2V1S+s/d7D3HmOcMWdOV2f2dVsAAACwqkWdiX78tHz7yoExxs1J3pfZ3L59Wn3ttDx15fZVtSPJA5LcntlZbAAAANgQi4ropado32vO+NL6L03Ly6flY1fZ9uwkd01y1RjjtvWZHgAAANzZoiL6ndPyZ6rqHywfqKofTHJWkluTXDWtvjTJDUnOq6pHLNv2+CQvmF6+ckNnDAAAwLa3qKdzX5rZ90B/X5IPVdUbk3wiyWmZXepdSXaPMT6TJGOMm6rq6dN+V1TVxUn2J3lCZl9/dWmSSzb9UwAAALCtLCSixxhfqarHJXlGkvOS/HBml2TvT/LmJC8bY7xtxT5vqqpHJ/mVJE9OcnxmX4f17Gn7sYkfAQAAgG1okd8T/eUkL5l+uvu8K8njNmxSAAAAsIaFfU80AAAAbDUiGgAAAJpENAAAADQt7J5oAAD+vp27984d27dn1ybOBIB5nIkGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaBLRAAAA0CSiAQAAoElEAwAAQJOIBgAAgCYRDQAAAE0iGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaBLRAAAA0CSiAQAAoElEAwAAQJOIBgAAgCYRDQAAAE0iGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQtGPREwCA7Wjn7r1zx/bt2bWJMwEADoUz0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaBLRAAAA0CSiAQAAoElEAwAAQJOIBgAAgCYRDQAAAE0iGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaBLRAAAA0CSiAQAAoElEAwAAQJOIBgAAgCYRDQAAAE0iGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAICmHYueQFV9b5Lzkzwqyd2TfCbJXyR56RjjzSu2PTPJ85J8Z5ITknwkyWuSvHyMccdmzhuAY8PO3Xvnju3bs2sTZwIAbAULjeiq+s0kz01yfZI/THJDknslOSPJOUnevGzbJyZ5Q5Jbk1ySZH+SH0ry4iRnJfnRTZw6AAAA29DCIrqqnp5ZQL8uyc+MMb60Yvwuy/58YpJXJ7kjyTljjPdP65+f5PIk51bVeWOMizdr/gAAAGw/C7knuqqOS/LvkvxtVgnoJBljfHnZy3MzO0N98VJAT9vcmtnl3Unycxs3YwAAAFjcmejvzyyKX5LkK1W1K8lDM7tU+31jjHev2P4x0/ItqxzryiQ3Jzmzqo4bY9y2QXMGAABgm1tURP/jaXlrkj/LLKD/TlVdmeTcMcanp1UPnJYfXnmgMcbtVXVdkockOSXJh9Z646q6es7Qg3pTBwAAYLta1Fdc3XtaPjfJSPLdSb4uycOSvC3J2Ul+f9n2J03LG+ccb2n9yes7TQAAADhgUWeil+L99iRPGGPsm17/RVX9cJJrkzy6qh61yqXdR2SMccZq66cz1Kev53sBAABwbFnUmejPTcs/WxbQSZIxxs1J3jq9fOS0XDrTfFJWt7T+c3PGAQAA4IgtKqKvnZbzovez0/KEFdufunLDqtqR5AGZndX+2HpNEAAAAFZaVET/j8zuhX5wVa02h6UHjV03LS+flo9dZduzk9w1yVWezA0AAMBGWkhEjzH+JsllSb4xyc8vH6uqH0jyTzI7S730lVaXJrkhyXlV9Yhl2x6f5AXTy1du8LQBAADY5hb1YLEkeUaSb0/yH6fvif6zzC7LflKSO5I8bYxxY5KMMW6qqqdnFtNXVNXFSfYneUJmX391aZJLNv8jAAAAsJ0s6nLujDGuT3JGklck+ZbMzkifk9kZ6rPGGG9Ysf2bkjw6yZVJnpzkXyf5cpJnJzlvjDE2bfIAAABsS4s8E50xxqczi+F/3dz+XUket6GTAgAAgDkWdiYaAAAAthoRDQAAAE0iGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaBLRAAAA0CSiAQAAoElEAwAAQJOIBgAAgCYRDQAAAE0iGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAEDTjkVPAACAY9PO3Xvnju3bs2sTZwKwfpyJBgAAgCYRDQAAAE0iGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaBLRAAAA0CSiAQAAoElEAwAAQJOIBgAAgCYRDQAAAE0iGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaBLRAAAA0CSiAQAAoElEAwAAQJOIBgAAgCYRDQAAAE0iGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaDpqIrqqfqKqxvTztDnbPL6qrqiqG6vqC1X13qr6qc2eKwAAANvTURHRVfUPk7wiyRfW2Ob8JJcleWiS1yd5dZJvSHJRVb1wM+YJAADA9rbwiK6qSvLaJJ9J8qo52+xM8sIk+5M8YozxjDHGLyR5WJK/TvKcqnrUpkwYAACAbWvhEZ3kmUkek+RfJPninG2emuS4JK8YY+xbWjnG+GySX59e/uwGzhEAAAAWG9FVdVqSPUleOsa4co1NHzMt37LK2B+v2AYAAAA2xI5FvXFV7UjyX5L8bZJfPsjmD5yWH145MMb4eFV9Mcn9q+quY4ybD/K+V88ZetBB5gAAAMA2t7CITvJvknx7ku8aY9xykG1PmpY3zhm/Mcndpu3WjGgAAAA4XAuJ6Kr6jszOPr9ojPHuzXzvMcYZc+Z0dZLTN3MuAAAAbC2bfk/0dBn3f87s0uznN3dbOgN90pzxg52pBgAAgCO2iAeLfW2SU5OcluTWqhpLP0l+ddrm1dO6l0yvr52Wp648WFXdL7NLua8/2P3QAAAAcCQWcTn3bUl+d87Y6ZndJ/2nmYXz0qXelyc5K8ljl61b8oPLtgEAAIANs+kRPT1E7GmrjVXVhZlF9OvGGL+zbOi1SX4xyflV9dql74quqrvnwJO9X7VRcwYAAIBksU/nbhtjXFdVz03ysiTvr6pLknwpyblJ7p8FPKAMAACA7WdLRHSSjDFeXlX7klyQ5Cczu5/7g0meN8Z43SLnBgAAwPZwVEX0GOPCJBeuMX5Zkss2az4AAACw3CKezg0AAABbkogGAACAJhENAAAATUfVPdEAMM/O3Xvnju3bs2sTZwIAbGfORAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATTsWPQEAAFhPO3fvnTu2b8+uTZwJcCxyJhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANO1Y9AQA2Fp27t47d2zfnl2bOBMAgM3nTDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaBLRAAAA0CTYewYeAAASwUlEQVSiAQAAoElEAwAAQJOIBgAAgCYRDQAAAE0iGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaNqx6AkAsDF27t47d2zfnl2bOBOAY8Na/15N/LsVtgtnogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaBLRAAAA0CSiAQAAoElEAwAAQJOIBgAAgCYRDQAAAE0iGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACadix6AgDHup27984d27dn1ybOBACAI+VMNAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoWkhEV9U9q+ppVfXGqvpoVd1SVTdW1Z9W1U9X1arzqqozq+rNVbV/2ucDVfWsqvrqzf4MAAAAbD87FvS+P5rklUk+nuTtSf42yX2S/EiS30nyg1X1o2OMsbRDVT0xyRuS3JrkkiT7k/xQkhcnOWs6JgAAAGyYRUX0h5M8IcneMcZXllZW1S8neV+SJ2cW1G+Y1p+Y5NVJ7khyzhjj/dP65ye5PMm5VXXeGOPiTf0UAAAAbCsLuZx7jHH5GOOy5QE9rf9EkldNL89ZNnRuknsluXgpoKftb03yvOnlz23cjAEAAODofLDYl6fl7cvWPWZavmWV7a9McnOSM6vquI2cGAAAANvboi7nXlVV7Ujyk9PL5cH8wGn54ZX7jDFur6rrkjwkySlJPnSQ97h6ztCDDm22AAAAbDdHVUQn2ZPkoUnePMZ467L1J03LG+fst7T+5I2aGAAALMLO3Xvnju3bs2sTZwIkR1FEV9UzkzwnyV8l+ecb9T5jjDPmvP/VSU7fqPcFAABg6zsq7omuqvOTvDTJB5N8zxhj/4pNls40n5TVLa3/3AZMDwAAAJIcBRFdVc9K8vIkf5lZQH9ilc2unZanrrL/jiQPyOxBZB/bqHkCAADAQiO6qn4pyYuT/HlmAf2pOZtePi0fu8rY2UnumuSqMcZt6z9LAAAAmFlYRFfV8zN7kNjVSb53jHHDGptfmuSGJOdV1SOWHeP4JC+YXr5yo+YKAAAAyYIeLFZVP5Xk15LckeSdSZ5ZVSs32zfGuChJxhg3VdXTM4vpK6rq4iT7kzwhs6+/ujTJJZszewAAALarRT2d+wHT8quTPGvONu9IctHSizHGm6rq0Ul+JcmTkxyf5KNJnp3kZWOMsWGzBQAAgCwooscYFya58DD2e1eSx633fAAAAKBj4U/nBgAAgK1CRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaBLRAAAA0CSiAQAAoElEAwAAQJOIBgAAgCYRDQAAAE0iGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAICmHYueAAAAcPTZuXvv3LF9e3Zt4kzg6OJMNAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABo2rHoCQBslp27984d27dn1ybOBACArcqZaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJhENAAAATSIaAAAAmkQ0AAAANIloAAAAaBLRAAAA0CSiAQAAoElEAwAAQJOIBgAAgCYRDQAAAE0iGgAAAJpENAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAICmHYueAHD02rl779yxfXt2beJMAADg6OBMNAAAADSJaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABo2rHoCQAAAGy0nbv3zh3bt2fXJs6Erc6ZaAAAAGgS0QAAANAkogEAAKBJRAMAAECTiAYAAIAmT+cGjjqengkAwNHKmWgAAABoEtEAAADQJKIBAACgSUQDAABAk4gGAACAJk/nhnW0qKdKe5o1ALBV+O8WtjpnogEAAKBJRAMAAECTiAYAAIAmEQ0AAABNIhoAAACaRDQAAAA0iWgAAABoEtEAAADQJKIBAACgSUQDAABA05aK6Kq6f1W9pqr+X1XdVlX7quolVXX3Rc8NAACAY9+ORU+gq6q+OclVSe6d5A+S/FWSRyb5+SSPraqzxhifWeAUN9zO3XvXHN+3Z9eGHPtIjgsAAMeyjfxv9KORbthaZ6J/O7OAfuYY40ljjN1jjMckeXGSByb5dwudHQAAAMe8LRHR01noH/j/7d1/rGRnWcDx7xMK7bahP6SYKiQulNKutKJQsT9sbcsPaWBLgYKNAjXqAkpNECqaIgIRhUpQWjCAAV3jKkUhEhtpqdEtXW1dU1FI7UIXt1W2Udtl6c/dLRYe/3jfodObmXvPzJ0f9935fpKTs/O+58x9Zp/7zLnvzHvOAe4E/mBJ9zuBh4DXRsQRMw5NkiRJkrRAmhhEA+fW9fWZ+Z3+jsx8APhH4HDgtFkHJkmSJElaHK0Mok+s69uH9O+s62fOIBZJkiRJ0oKKzJx3DCuKiD8ENgGbMvPjA/p/G7gcuDwz37vCc/3LkK5nr1u37nEbNmxYdbzTcutd9y3bf/JTjprKc6/meRfNvP4fp/VzfT2TcbD9XF/PZBxsP9fXMxkH289dpNez2uce9+cebP+PB9vrWe1zr0Utjxt27NjB/v3792bmk1bzPA6iH3Uy8CDlvGu16aS6/spco9AsmfPFYr4Xi/leLOZ7sZjvxbKW8r0euD8zn7aaJ2nlFle9jzuGfbTRa793pSfKzOdOJCKtOb0PSMzx4jDni8V8LxbzvVjM92Ix34vlYMx3K+dEf7Wuh53zfEJdDztnWpIkSZKkVWtlEL21rl8UEY+JOSKeCJwJ7AP+adaBSZIkSZIWRxOD6Mz8D+B6yhz2Ny3pfjdwBPCnmfnQjEOTJEmSJC2QVs6JBvgl4Cbgqoh4PrAD+DHKPaRvB94+x9gkSZIkSQugiW+i4bvfRp8KbKYMnt8KHA9cCZyWmd+YX3SSJEmSpEXQxC2uJEmSJElaC5r5JlqSJEmSpHlzEC1JkiRJUkcOoiVJkiRJ6shBtCRJkiRJHTmIliRJkiSpIwfRkiRJkiR15CBakiRJkqSOHERrzYuIn42IXGH59oD9zoiIz0XE3ojYHxFfjog3R8Tj5vE61M2o+Y6I9Stse/U8X4+6iYiXRMT1EbG71uuuiPjLiDh9yPbWd8O65tv6bl8UmyJie0Q8GBEPRcQtEfHGiBj4d2hEvDQiboiI++o+2yPiklnHrvGMkvOIOGeFGn/fvF6HHhURF0XEhyJiW0TcX3OzZYV9Rj5Ot1T7h8w7AKmDfwPePaTvLOA84Nr+xoh4GfAZ4ADwKWAvsBH4feBM4FXTClarNnK+qy8Bnx3QfuuE4tKURMQVwNuAb1ByuAd4BvAy4JUR8brM3NK3vfXdsFHzXVnf7doC/DRwN/BJYB/wQuAjwBnA6/o3johLgQ9Rfj+2AN8CLgI2R8QpmXnZ7ELXmEbKefUF4IYB7f8wnRA1ot8Ang08COwGTlpu43GO083Vfma6uDS7ADcDCVzQ13Yk5Y37YeDUvvbDgJvq9hfPO3aXieV7fW3bPO/4XMbK6XHAt4H/Ab53Sd+5Nbe7+tqs74aXMfJtfTe8AC/v5RQ4tq/9CcA1te8VS/J9gPJH9Pq+9mOAr9XtT5/363KZaM7PqW3vmnfsLsvm9VzgBCD6crZlyLYjH6dbrH2nc6tZEXEKcBpwF/A3fV0XAU8Grs7MW3qNmXmA8kkawC/OKk5NxjL5Vtt+gHJq0fbMvLu/IzO3Ag9Q6rnH+m7bqPlW215e1x/IzD29xsz8FvCO+vDSvu1/DjgU+HBm3tm3/TeB36kP3zi1aDUJo+ZcDcjMrZm5M+vIdgXjHKebq32nc6tlr6/rT2Rm/znR59X1dQP2uZEyreiMiDg0Mx+eZoCaqGH57vn+iHgD8CTKJ5k3Z+aXZxadxrWTMmXreRFxbP8fXRFxNvBEHjuN1/pu26j57rG+23RcXe8a0NdrOysinlAHWcvVd+80nvMG9GntGDXnPc+o03mPpMxU2ZaZO6cYp6ZnnON0c7XvIFpNioh1wGso0wI/vqT7xLq+fel+mflIRNwBPAt4OrBjmnFqMlbId88L69K/3w3AJZn5X1MNUGPLzL0R8WvA7wG3RcRnKYOk44ELgL8F3tC3i/XdsDHy3WN9t6n3IcnTBvQ9va4Pqf/+CsvX939HxEPAUyPi8MzcN+lgNRGj5rznZ+ryXRHxGWBT/TZS7RjnON1c7TudW616NXA0cF1mfn1J31F1fd+QfXvtR08jME3FcvneB/wW8FzKuTPHAD8BbKWct/N3EXHE7ELVqDLzg8ArKH9YbQJ+nXLRka9TzoXtn/ZrfTduxHxb323rnXrzloj4nl5jRDyex15A8pi67lrfRw3p1/yNmvN7KO8Bp1BmojwZOB/4V+CVwDXDruKuNWuc43Rzte8vpVrVm9r7sblGoVkZmu/MvDszfzMzv5iZ99blRuBFwHbKVX9/YYaxakQR8Tbg08BmyjeSR1AGTbuAP4uI351fdJq0UfJtfTfvauDzlDzfFhEfi4grKXdhOAvozSL4zpzi0+SNlPPM/PfMvCIzb83MBzNzT2ZeR/mQ7A7KlZw3zvpFSCtxEK3mRMSzKLdI2A18bsAmK31a1Wu/d8KhaQo65HugzHyER6d+nz2F0DQBEXEOcAXw15n5lszclZn7MvOLlAvU3AW8NSJ60wCt74aNke+BrO821OtXbKR803gPcElddlLe1x+om/ZmH3St72HfVmnOxsj5sOe5H/jz+tAab8s4x+nmat9BtFq00gWmvlrXz1zaERGHUM7TeYTBF73Q2rNSvpdzT1073XPtemldb13aUc97+mfKsepHarP13bZR870c67sBmfl/9ZvGUzLzsMw8OjMvBO6k3DJnT2beUTdfrr6/j5Lr3WvlnEgNNmLOl2ONt2mc43Rzte8gWk2JiMOA11IuMPWJIZv9fV2/eEDf2cDhwE1euXft65jv5ZxW1w6o1q5D63rYbY167b2ruFrfbRs138uxvtt2MeXewZ/sa1uuvs9fso3aMyjny7HG2zTOcbq52ncQrda8inIximsHXGCq59OUq0NeHBGn9hrrgOw99eFHphqlJmXFfEfEcwZddCQing/8Sn24ZXohapW21fXrI+Ip/R0RcT7lfLgDwE212fpu20j5tr7bFxFHDmj7YeD9wDeB9/V1/THwMHBpRKzv2/4Y4PL68KPTilWTMUrO+9/Hl2z/GuCnKB+o/cV0ItWUjHOcbq72o9s9s6W1ISK2AT8OXJCZ1yyz3YWUIj5AucjFXsrtU06s7a/ueMN4zVGXfNfb3JxA+aN7d23+IR69n+A7MvM9A3bVGlAHSJ8HXkA5V+6vKPcI3UCZ+hvAmzPzyr59rO9GjZpv67t9EbEd2A/cSsn5BuAltW1jZn5hyfa/DFxFufXZpyiDqIuApwIfyMzLZhe9xjFKziPiTsrU3lsoNX4Y8KPA82r7pszcPMPwNUA97l5YHx4H/CRlhkDvg9E9/bU5znG6tdp3EK1mRMQG4DbKm+z6lc6PjYgzgbcDp1PelL8G/BFw1Rjn1mrGuuY7In6eckGik4FjgccD/wvcDHw4M7cN2k9rR731yZsoU/1+kDLVay/l/NirMvP6AftY340aJd/Wd/si4lcpuT4eWEe5eNy1wHszc/eQfTYClwHPocyavI2S7z+ZSdBalVFyXu8b/wLgJEqNR93+RuCDmfmlGYauISLiXcA7l9nkPzNz/ZJ9Rj5Ot1T7DqIlSZIkSerIc6IlSZIkSerIQbQkSZIkSR05iJYkSZIkqSMH0ZIkSZIkdeQgWpIkSZKkjhxES5IkSZLUkYNoSZIkSZI6chAtSZIkSVJHDqIlSZIkSerIQbQkSZIkSR05iJYkSZIkqSMH0ZIkSZIkdeQgWpIkSZKkjhxES5IkSZLUkYNoSZIkSZI6chAtSZIkSVJHDqIlSZIkSero/wEnV0vuEDMyLgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 372,
       "width": 488
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_areas(areas, 0.3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Why do we see gaps?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## Computation of $\\pi$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We saw that $A_{\\mathrm{circ}} = 4 r^2 \\mathbb{E}[f_{\\mathrm{acc}}]$. Knowing that $A_{\\mathrm{circ}} = \\pi r^2$, we can deduce the value of $\\pi$:\n",
    "\n",
    "$$\\pi = \\frac{A_{\\mathrm{circ}}}{r^2} = 4 \\mathbb{E}[f_{\\mathrm{acc}}]$$\n",
    "\n",
    "Let's estimate it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def estimate_pi(Nthrows, radius):\n",
    "    'Samples points and estimates π from the area.'\n",
    "    area = generate_area_estimate(Nthrows, radius)\n",
    "    pi_est = area / radius**2\n",
    "    return pi_est"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.2000000000000006"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "estimate_pi(10, radius)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Hmm... Could be better :-/\n",
    "\n",
    "Let's try with more throws and see how our estimate changes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "Nthrow_range = [10, 100, 1000, 10000, 100000]\n",
    "pi_estimates = [estimate_pi(Nthrows, radius)\n",
    "                for Nthrows in Nthrow_range]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[3.6, 3.0, 3.04, 3.1412, 3.1426]"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pi_estimates"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Things slowly get better..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "more_Nthrows = np.arange(100, stop=100000, step=1000)\n",
    "more_pi_estimates = [estimate_pi(Nthrows, radius)\n",
    "                    for Nthrows in more_Nthrows]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_pi_estimates(Nthrow_range, estimates, save_to=None):\n",
    "    'Plots our π estimates as a function of the number of sampling points.'\n",
    "    fig, ax = plt.subplots(figsize=(8,5))\n",
    "    ax.set_xlabel('Samples')\n",
    "    ax.set_ylabel('$\\pi$ estimate')\n",
    "    ax.scatter(Nthrow_range, estimates)\n",
    "    ax.axhline(np.pi, color='r', label='True $\\pi$')\n",
    "    ax.grid(color='60', linestyle=':')\n",
    "    ax.legend()\n",
    "    ax.autoscale(enable=True, axis='x', tight=True)\n",
    "    if save_to is not None:\n",
    "        fig.savefig(save_to)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 318,
       "width": 505
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_pi_estimates(more_Nthrows, more_pi_estimates)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Central Limit Theorem"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "def test_clt(Ntrials, Nthrows, bins=None):\n",
    "    'Compares the distribution of our π estimates to a Gaussian.'\n",
    "    pi_estimates = [estimate_pi(Nthrows, radius)\n",
    "                        for _ in range(Ntrials)]\n",
    "    fig, ax = plt.subplots(figsize=(8,6))\n",
    "    # Let's normalize the histogram to make it easier to\n",
    "    # compare with the Gaussian distribution.\n",
    "    # We use the `density=True` option for that.\n",
    "    # Note: in Matplotlib < 3, this is `normed=True`.\n",
    "    ax.hist(pi_estimates, density=True, bins=bins, label='$\\pi$ estimates')\n",
    "    # Now compare with a gaussian distribution of tandard\n",
    "    # deviation π / (2√N).\n",
    "    sigma = np.pi / (2*np.sqrt(Nthrows))\n",
    "    x = np.linspace(np.pi-3.5*sigma, np.pi+3.5*sigma, num=200)\n",
    "    y = norm.pdf(x, loc=np.pi, scale=sigma)\n",
    "    ax.plot(x, y, color='k', label='Gaussian')\n",
    "    ax.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 358,
       "width": 485
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "test_clt(10000, 100)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}