{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Brownian motion with Python\n", "## Tirthajyoti Sarkar, Fremont, CA, July 2020\n", "\n", "## What is Brownian motion?\n", "\n", "### Physical origin and properties\n", "Brownian motion, or pedesis, is the random motion of particles suspended in a fluid (a liquid or a gas) resulting from their collision with the fast-moving molecules in the fluid.\n", "\n", "This pattern describes a fluid at [thermal equilibrium](https://en.wikipedia.org/wiki/Thermal_equilibrium), defined by a given temperature. Within such a fluid, there exists no preferential direction of flow (as in [transport phenomena](https://en.wikipedia.org/wiki/Transport_phenomena)). More specifically, the fluid's overall linear and angular momenta remain null over time. \n", "\n", "The kinetic energies of the molecular Brownian motions, together with those of molecular rotations and vibrations, sum up to the caloric component of a fluid's [internal energy](https://en.wikipedia.org/wiki/Internal_energy).\n", "\n", "### Discovery and early explanations\n", "\n", "This motion is named after the botanist [Robert Brown](https://en.wikipedia.org/wiki/Robert_Brown_(botanist,_born_1773)), who first described the phenomenon in 1827, while looking through a microscope at pollen of the plant Clarkia pulchella immersed in water. \n", "\n", "In 1905, almost eighty years later, theoretical physicist **[Albert Einstein](https://en.wikipedia.org/wiki/Albert_Einstein) published [a seminal paper](http://www.maths.usyd.edu.au/u/UG/SM/MATH3075/r/Einstein_1905.pdf)** where he modeled the motion of the pollen as being moved by individual water molecules, making one of his first major scientific contributions. This explanation of Brownian motion **served as convincing evidence that atoms and molecules exist** and was further verified experimentally by [Jean Perrin](https://en.wikipedia.org/wiki/Jean_Baptiste_Perrin) in 1908.\n", "\n", "Also read this [enjoyable paper commemorating the 100-year of Einstein's paper](https://arxiv.org/pdf/cond-mat/0504610.pdf).\n", "\n", "## Brownian motion as a stochastic process\n", "### Many-body interaction\n", "\n", "The many-body interactions that yield the Brownian pattern cannot be solved by a model accounting for every involved molecule. In consequence, only probabilistic models applied to molecular populations can be employed to describe it. This is why it is described as a purely stochastic process in its modern form and applications.\n", "\n", "### Wiener process\n", "In mathematics, the Wiener process is a real valued continuous-time stochastic process named in honor of American mathematician [Norbert Wiener](https://en.wikipedia.org/wiki/Norbert_Wiener) for his investigations on the mathematical properties of the one-dimensional Brownian motion.\n", "\n", "It is one of the best known stochastic processes with [stationary](https://en.wikipedia.org/wiki/Stationary_process) [independent increments](https://en.wikipedia.org/wiki/Independent_increments) and find frequent applications in a wide range of fields covering pure and applied mathematics, economics, quantitative finance, evolutionary biology, and physics. \n", "\n", "For example, it plays a vital role in [stochastic calculus](https://en.wikipedia.org/wiki/Stochastic_calculus), [diffusion processes](https://en.wikipedia.org/wiki/Diffusion_process) and even [potential theory](https://en.wikipedia.org/wiki/Diffusion_process). In applied mathematics, the Wiener process is used to represent the integral of a white noise [Gaussian process](https://en.wikipedia.org/wiki/Gaussian_process), and so is useful as a model of **noise in electronics engineering (see [Brownian noise](https://en.wikipedia.org/wiki/Brownian_noise))**, instrument errors in filtering theory and unknown forces in control theory.\n", "\n", "In physics, it is used to study Brownian motion, the diffusion of minute particles suspended in fluid, and other types of diffusion via the [Fokker–Planck](https://en.wikipedia.org/wiki/Fokker%E2%80%93Planck_equation) and [Langevin equations](https://en.wikipedia.org/wiki/Langevin_equation). It also forms the basis for the rigorous path [integral formulation](https://en.wikipedia.org/wiki/Path_integral_formulation) of quantum mechanics (by the [Feynman–Kac formula](https://en.wikipedia.org/wiki/Feynman%E2%80%93Kac_formula), a solution to the Schrödinger equation can be represented in terms of the Wiener process) and the study of [eternal inflation](https://en.wikipedia.org/wiki/Eternal_inflation) in physical cosmology. It is also prominent in the mathematical theory of finance, in particular the **[Black–Scholes](https://en.wikipedia.org/wiki/Black%E2%80%93Scholes) option pricing model**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A `Brownian` class\n", "\n", "In the Python code below, we define a class `Brownian` with a few useful methods,\n", "\n", "- `gen_random_walk()`: Generates motion from the Random Walk process\n", "- `gen_normal()`: Generates motion by drawing from the Normal Distribution\n", "- `stock_price()`: Models a stock price using so-called **'Geometric Brownian Motion'**" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "class Brownian():\n", " \"\"\"\n", " A Brownian motion class constructor\n", " \"\"\"\n", " def __init__(self,x0=0):\n", " \"\"\"\n", " Init class\n", " \"\"\"\n", " assert (type(x0)==float or type(x0)==int or x0 is None), \"Expect a float or None for the initial value\"\n", " \n", " self.x0 = float(x0)\n", " \n", " def gen_random_walk(self,n_step=100):\n", " \"\"\"\n", " Generate motion by random walk\n", " \n", " Arguments:\n", " n_step: Number of steps\n", " \n", " Returns:\n", " A NumPy array with `n_steps` points\n", " \"\"\"\n", " # Warning about the small number of steps\n", " if n_step < 30:\n", " print(\"WARNING! The number of steps is small. It may not generate a good stochastic process sequence!\")\n", " \n", " w = np.ones(n_step)*self.x0\n", " \n", " for i in range(1,n_step):\n", " # Sampling from the Normal distribution with probability 1/2\n", " yi = np.random.choice([1,-1])\n", " # Weiner process\n", " w[i] = w[i-1]+(yi/np.sqrt(n_step))\n", " \n", " return w\n", " \n", " def gen_normal(self,n_step=100):\n", " \"\"\"\n", " Generate motion by drawing from the Normal distribution\n", " \n", " Arguments:\n", " n_step: Number of steps\n", " \n", " Returns:\n", " A NumPy array with `n_steps` points\n", " \"\"\"\n", " if n_step < 30:\n", " print(\"WARNING! The number of steps is small. It may not generate a good stochastic process sequence!\")\n", " \n", " w = np.ones(n_step)*self.x0\n", " \n", " for i in range(1,n_step):\n", " # Sampling from the Normal distribution\n", " yi = np.random.normal()\n", " # Weiner process\n", " w[i] = w[i-1]+(yi/np.sqrt(n_step))\n", " \n", " return w\n", " \n", " def stock_price(\n", " self,\n", " s0=100,\n", " mu=0.2,\n", " sigma=0.68,\n", " deltaT=52,\n", " dt=0.1\n", " ):\n", " \"\"\"\n", " Models a stock price S(t) using the Weiner process W(t) as\n", " `S(t) = S(0).exp{(mu-(sigma^2/2).t)+sigma.W(t)}`\n", " \n", " Arguments:\n", " s0: Iniital stock price, default 100\n", " mu: 'Drift' of the stock (upwards or downwards), default 1\n", " sigma: 'Volatility' of the stock, default 1\n", " deltaT: The time period for which the future prices are computed, default 52 (as in 52 weeks)\n", " dt (optional): The granularity of the time-period, default 0.1\n", " \n", " Returns:\n", " s: A NumPy array with the simulated stock prices over the time-period deltaT\n", " \"\"\"\n", " n_step = int(deltaT/dt)\n", " time_vector = np.linspace(0,deltaT,num=n_step)\n", " # Stock variation\n", " stock_var = (mu-(sigma**2/2))*time_vector\n", " # Forcefully set the initial value to zero for the stock price simulation\n", " self.x0=0\n", " # Weiner process (calls the `gen_normal` method)\n", " weiner_process = sigma*self.gen_normal(n_step)\n", " # Add two time series, take exponent, and multiply by the initial stock price\n", " s = s0*(np.exp(stock_var+weiner_process))\n", " \n", " return s" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Process with initial value of zero and using random walk\n", "\n", "We can use a basic stochastic process such as **Random Walk**, to generate the data points for a Brownian motion. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "b = Brownian()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for i in range(4):\n", " plt.plot(b.gen_random_walk(1000))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Process with initial value of 20 and using Normal distribution\n", "\n", "We can generate Brownian motion data by drawing from Normal distribution." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "b = Brownian(20)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for i in range(4):\n", " plt.plot(b.gen_normal(1000))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Stock price simulation \n", "Here we simulate multiple scenarios with for 52 time periods (imagining 52 weeks a year). Note, all the stock proces start at the same point but evolve randomly along different trajectories.\n", "\n", "Note that the dynamics is controlled by the mean and variance parameters of the underlying Normal distribution, which, somehow emulate the growth trend and the 'volatility' of the stock. For example, a stock with positive growth trend will have a positive mean. For this particular simulation, the choice of mean (mu) is 0.2 and the choice of standard deviation (square root of the variance) is 0.68.\n", "\n", "We define a utility function for plotting first." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def plot_stock_price(mu,sigma):\n", " \"\"\"\n", " Plots stock price for multiple scenarios\n", " \"\"\"\n", " plt.figure(figsize=(9,4))\n", " for i in range(5):\n", " plt.plot(b.stock_price(mu=mu,\n", " sigma=sigma,\n", " dt=0.1))\n", " plt.legend(['Scenario-'+str(i) for i in range(1,6)],\n", " loc='upper left')\n", " plt.hlines(y=100,xmin=0,xmax=520,\n", " linestyle='--',color='k')\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that, although the scenarios look sufficiently stochastic, they have a downward trend. This is because even with a positive mean, we have a slightly high spread or volatility." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_stock_price(mu=0.2,sigma=0.7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### A slight change in the volatility\n", "\n", "We simulate the stock price again with a **slightly less volatility (but with the same mean as before)** and get a completely different outcome this time. The trend looks neutral i.e. some scenario shows an increase in the stock price after the 52-week time period, whereas some show a decrease." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_stock_price(mu=0.2,sigma=0.65)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Lowering the volatility further down\n", "\n", "If we lower the volatility even more, we get a clear positive trend." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_stock_price(mu=0.2,sigma=0.6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Two-dimensional plot\n", "\n", "In the following example, we show a two-dimensional Brownian motion much like the actual suspended particle in the fluid medium goes through." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAD6CAYAAACs/ECRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAgAElEQVR4nOydeZyN1R/HP88sGGPs62Cy70IG2SUia0SyLwmVVKRQiqIkiWRXKXsIhWyVJSL7vi/DGMsYazNjzMz9/v74eH7P3efOzL2znvfrdV5z77Oe+9w753vOd9VEBAqFQqHIvHildgcUCoVCkbooQaBQKBSZHCUIFAqFIpOjBIFCoVBkcpQgUCgUikyOEgQKhUKRyXGLINA07XtN025qmnbMwf7umqYdedx2aZpWzWzfJU3TjmqadkjTtH3u6I9CoVAoXEdzRxyBpmmNAPwH4CcRqWJnfz0AJ0XkjqZpzwMYIyJ1Hu+7BCBYRG65er/8+fNLiRIlkt1vhUKhyEzs37//logUsN7u446Li8h2TdNKONm/y+ztbgDFknO/EiVKYN8+tXhQKBSKxKBpWoi97alhI3gFwO9m7wXAJk3T9muaNiAV+qNQKBSZGresCFxF07RnQEHQwGxzfREJ0zStIIDNmqadEpHtds4dAGAAAAQFBaVIfxUKhSIzkGIrAk3TngQwD0B7EYnQt4tI2OO/NwGsAlDb3vkiMkdEgkUkuEABGxWXQqFQKJJIiggCTdOCAPwCoKeInDHb7q9pWoD+GsBzAOx6HikUCoXCM7hFNaRp2hIATQDk1zQtFMDHAHwBQERmAfgIQD4AMzRNA4A4EQkGUAjAqsfbfAAsFpEN7uiTQqFQKFzDXV5DXRPY3x9AfzvbLwCoZnuGQqFQKFIKFVmsUCgUmRwlCBQKhSKTowSBQqFQZHKUIFAoFIpMjhIECoVCkclRgkChUCgyOUoQKBQKRSZHCQKFQqHI5ChBoFAoFJkcJQgUCoUik6MEgUKhUGRylCBQKBSKTI4SBAqFQpHJUYJAoVAoMjlKECgUCkUmRwkChUKhyOQoQaBQKBSZHCUIFAqFIpOjBIFCoVBkcpQgUCgUikyOEgQKhUKRyXGLINA07XtN025qmnbMwX5N07RvNE07p2naEU3TnjLb11LTtNOP941wR38UCkXm4MED4OefgW3bUrsn6Rt3rQjmA2jpZP/zAMo+bgMAzAQATdO8AUx/vL8SgK6aplVyU58UCkUGJCoKWLEC6NQJKFgQ6NIFaNIEaNUKOHEitXuXPnGLIBCR7QBuOzmkPYCfhOwGkFvTtCIAagM4JyIXROQRgKWPj1UoFIr/ExMD/PYb0L07B//OnYEdO4BXXgG2bgUmTQJ27QKefBJ4/XUgPDy1e5y+SCkbQVEAV8zehz7e5mi7DZqmDdA0bZ+mafvC1besUGR4YmOBjRuBfv2AQoWAdu2ADRuAbt2ALVuAq1eBb78FGjcGhg0Dzp0DXnsNmDMHKFMGmDgRePgwtT9F+iClBIFmZ5s42W67UWSOiASLSHCBAgXc2jmFQpF2iI8H3n0XCAwEWrYEVq4E2rcH1q8Hrl/nQP/ss4CPj+V5+fMD06YBx44BjRoB778PVKoELF8OiN1RRaGTUoIgFEBxs/fFAIQ52a5QKDIBIsDFi8CvvwL79lH/HxcHrF0L3LrFY7Jl48z+0iXg7NmEB/UKFahGWrECuHsXeOkloEED4MoV5+dlZnwSPsQt/ApgsKZpSwHUAXBPRK5pmhYOoKymaSUBXAXwMoBuKdQnhUKRwsTEADt3Art3s+3ZA9y8aez38qJap2pVIDgYuH0biIigPeDnn3lMgQJUBzVuzAE+e3bgzBng9GmjnTpled29e4Hjx4HixaGwg1sEgaZpSwA0AZBf07RQAB8D8AUAEZkFYD2AVgDOAYgC0PfxvjhN0wYD2AjAG8D3InLcHX1SKBSpw/LlNNwGBgJFi/Lvo0ecpS9dasz0y5cHnn8eePppoFo1ICwMOHIEOHoUOHyYOn97hIdztr9ihe2+/Pm5ImjbltfXW6lSgK+v5z5zekeTdKg8Cw4Oln379qV2NxSKTM9//1GNU7w4UL8+t/XpA/z4o/PzPvgAGDfO8f49e4DevTm7T2x//P0Td05mQtO0/SISbL1dRRYrFIpEERMDrFkDvPwyZ+BduwKffGLsHzvW9pwSJYA33gDefBOoXRv4/HOqahwxYwaFwOef03vo5Eneo2pV7s+Zk4Jn0CAeu2MHcO+eEgJJRa0IFAqFy9y4QV99c/27TnAwDb7WLFlCoaETEQGULg00bEh1kT3On+d9GjWit5Bm5l945w6QO7flNoVrqBWBQqFINjlzAn370hPn2Wepe9dxNDfr2pWDdkAAMGECkC8fMHIkVUqOUkPkycNVxKZNNBhb71NCwL2oFYFCoUg0MTF063RE374c8CdNst03eTLjAho3BooUoT3AfGC/fJnxA+fPA4sWMZWEwj2oFYFCoXAb5kbcd94BIiOBAQOMbRUrMrJXBDCZGCCmM3QoVUOhoXTr/PprY9+xY0C9eowa3rhRCYGUQq0IFAqFWzh9mq6bOn36ALNmAVmzAs2b0x20YUNgwQLbc0WoJmrfngbf33+njUDhXtSKQKFQeAQR4KefLIVA2bLA/Pk0El++DPzxB1cBCxYAOXLYXuOTT4AWLagq0pPHKVKOlIosVigUGZCjR+0P2lFRDODy96c7qQiFAUBff2s+/pirhVWraFtQpCxqRaBQKJLEF1/YCoEGDfj36lX6/y9aBHz/ve25c+cChQvz9f79dClduhTIm9ezfVbYRwkCRabhwQMaLhXuYc4cy/eVK3Pm36qV8f7NN23P++gjoH9/Gotv3QKeeoqxAkWLAsWKAT17UnhcuuTxj6B4jDIWKzIMIsDMmUYuG33bwYOMhNXp3Rt44gnbc8158kmgQwfA29tz/U3vxMUxo2fdukz8tmcPE8LpvP02MHWq5TlNmgB//WV7rchICohp07iS0ClZEnjvPUYQK5KPI2OxEgSKdMXdu8DgwYwujYvj37173XNt3Zdd/5coXZr3evFFlbXSGXv2MCagVi0WjsmWjbr+zp0tj7t4kUFizjh/Hhg1ysg0CvB7cJSALiW4do3Bb7p7rHWkdHpCCQJFhuDwYaB6defHjB8PrF5NAVGgAP3cX3uN3irHjwN//2200FCekyMHs2A2aMAZ7vXrwPTpwL//cn9wMNCxI1v58p79jOmRpUsZQWyPRYtYYvKPP4CmTbktJobb69ShCsmaf/5h7MGuXXy/ahVdSz0ZURwby3TWx45ZNmshFBpKNVZ6xJEggIiku1azZk1RZHxMJpFTp0TmzhXp3VukVCkRzteN5ucnsmmTyIkTtvtmzhSJiuL5+rZSpUQCA22PTUzr3dt+f6OiRPr2FVm0KCWfUuoTFiYycmTCz83Pz/52R5hMIi++aBzXq5f7+vzwocjPP4u8/rpInToiPj4J93/SJJG4OPf1ITUAsE/sjKmpPqgnpSlBkDExmUS2bxeZPFmkQweRAgUs/xG9vUVKlxZp2lSkTRvn/7QffWRct23b5A381q1OHZH580U2bxaJj+c9IiNFmjXj/h49Uuf5pTRHj1Lw+fqKaJpIx44iO3fye1y9OuHn2LYtBb0zfvrJOL58eff1/Y03XP++69cXOX3affdOTRwJAqUaUqQZfvmF+viE8PWld0mxYkw/bM3OnVTvmKsR4uPp0nj+PGvdBgfzOnfu0HVRb7du8e/+/cCyZbbX9vbmtczv9eSTLISyfTujaNu1o6oko7JzJ2sJbNgA+PnRy6dpU6rTdu3i/qtXnV/j22+ZltoRDx4AH35I47H5ENWpE/DVV0BQUNL7L8JKaAC/q44d+b3Za9mzM12GVwbxr1SqIUWaJzJS5O23Odtv2lSkSxeRd98VmTpV5JdfRPbuFbl2zZiFi3D2OW2aiL+//H/57k527rQ/S6xRg6qF+/dFGjYU8fKiSqhqVa5m0hMXLxqfq1QpqmDmzhX54w+RI0f4zGNj+ay7d3c+e86Xz/n+xYtFJk4UuXHDcX9++02keHGuMt54Q+TePZHoaJFPP6V6yc+Pr6OjXf+MUVEiGzfy9/Tkk/ZXjpkBKNWQIj3iqk72+HEKjkuX3Hv/mzdFRo+2HdA2b+YAVa8eVVbLlvH4p56iIEtPHDvmfPB2Z9uwwXE/4uKoVgNEKlakELYmJESkUydDaP32m/1rxceL7N8vMmGCyLPPimTNynOyZOEko2dPkTx5RBo0cM8zTC8oQaBId/z+OwfZl18WOXAgZe8dEiIyZIhh4OzQQWTcOL7WVx96W7HCOK9OHZHnnkvZvrqLmBjq/WfO5ADpbEDPn58rhUOHONNu2dL2mGzZ7J/riIcPRcqW5THZs/N7X7OG263ZsoXCAhBp1UrkzBmRy5dFvvuOE4L8+Y37Va0qMnSoyPr1XFk2bcrtuXJxNZmZUIJAke5Ys4a/UE3j3+bNORM3mTx3z2PHqBrx8WHr04ceSeacP28MMoGB3BYdLfL338b2Pn0sVVhplfv3qQKaPFmkXz+R2rVtBZ118/amsVznyy+Nfb6+IocPc7v+nJ5+mrP4994TOXnSeX/i40W2bRMZNMhQM+XOLfLKKxz8zVeIjx6x3wEBVM3pfShcmDP+n36iR9OjRyILFxoqocBA9vnePfc/z7SORwUBgJYATgM4B2CEnf3DARx63I4BiAeQ9/G+SwCOPt5nt5PWTQmCzMGRI/yFzprFJX7hwvJ//fySJdRbu4t//hFp396Yjb71FmeY9hgzxnLAr12bA6D1gDl9uvv65y6uXOGzGzyYz9F8AC1UiGqUt96ijeCffzhYmkz0CNKPmzKFq4Hffxf57DPbz61pXBl9+qlImTL09EqKUHz0iLP4nj1FcuQwBvkhQ0R27TImBNeu0X118mSuHENDRQ4epFvxpEkiTzwh/1c3/fADVz6ZFY8JAgDeAM4DKAUgC4DDACo5Ob4tgD/N3l8CkD8x91SCIHPw4AF/oZ99xvcPH4rMm0c3QkCkRAku7f/7L2nXN5k4mDVuzOvlySPy8cci4eHOz1uyxBj0/PxEGjXibFdXa/z2G1cvAQEceFOLuDgOiN9+K9K1q0hQkNFvf3+qSEaPpt7+5k3H1zl1yvJcR03TRFaupACoXdty399/J/1z3L9Pd9QKFRLug73WoIHIr7+mjxWap/GkIKgLYKPZ+5EARjo5fjGAV83eK0GgcAgg0r+/5bb4eA4M9epxf758rg3gOrGxHMyrVeP5RYtyNvnggXGMycTBcd8+kdu3Lc+PiKCnEECVxYMH9KfX+xofT7WIn59IkyacoaYEDx5QfTJ2LO0UAQHGYBgYKPLSS/TA2rcvcaspPajLx0ckZ07jmtWrG6sogKsJc65do86+Xz/aXFzl5k3q8t95R6RmTaqidJVUrVp81kWLuiYE9u1z/b6ZAUeCINlxBJqmdQLQUkT6P37fE0AdERls59jsAEIBlBGR24+3XQRwB4AAmC0ic6zPs0bFEWQOvvySCccA+uW/+CJjAMzZuZMlEX/9lT7tEyYAQ4Y4vuZffwGvvsp4gvz5gS5dgPr1gbAw5sKZPp3H+fszERpAf/JOnXheo0aMT4iLo5/7F1/Y3sPbm/7nDx5Ybq9Th/fMnt1oL7/MazojOhq4edOy3bhh+f7aNeDkScY4aBpQtSo/l96eeCLp6RnOn2eqDX9/3ufsWfry67z8MgvRjB/P+AE9vbQzHjwAQkJYt6ByZfb7gw+YhuLkSR6TLRufWaNGrFVQt65tUZvwcCak++UXvvfxYY6jatWA0aP52Tds4Heo8GCuIU3TOgNoYSUIaouITQJaTdO6AOghIm3NtgWKSJimaQUBbAbwpohst3PuAAADACAoKKhmSEhIsvqtSNtMmgQMH265rVQpYNgwlkDMnt1y38mTHCyefpoJwqy5eZMDg3XqZHNy52ZSO50vvmDCs7/+AhYuBO7dA8qVYwrl3r2BggWB335jUBLAzJrNm3Nwi4zk32PHjHw5OhUqcN/t28y589lnQJYstoO9PuDbK+QCcGAuWNBo1apx4KtbF8iVi3mZ6talIEmIokWZPvruXQbZ6X9v3+bfhGjfnhlep01jor67d5lGOiTE/t/bt41zvbwY3BcTY2zr3x+YMoWfMSH69QN++AEoU8Z+croePVhBzZN5itILnhQEdQGMEZEWj9+PBAAR+dzOsasALBeRxQ6uNQbAfyIyydk91YogY/PVV0w41qULs1VOnMgo36++YqbL/Pk563/9daOa1cOHnC2OGMGoV3N27OCsNSyM74sW5Qy/RAnLljs3M0zOnWucW78+B/cGDVhy8fvvmazO15eDX//+HIC6dGE08rvvcmD39bXsw9atTH536BCLs8+axYymrVoxwRrAAbFAAaBQIcsB3roVKsTjHA2Sly6xX3v2OBYi9ihUiM8gTx7Lv8WKcaY/YwajbO/cYRRxyZJcRVmTMydw/77ltuzZuSopUcLyb9asfCYHDgBbtvB7NOfGDX5mZ2zaxO/s1CmuVswFijmffcaEgdWqUcBnRjwWWQyWu7wAoCQMY3FlO8flAnAbgL/ZNn8AAWavd4FqJmUjyKR89RV1uy+9RD32jz/y/eefG7mIWreW/3v3DBnCILJ9+7ht+XLjWvHx9DYy94x5803n91+50lbPrLuv5srFeII336QnjL5/3Dgasl9/3TBO2rMLxMXR2F2wIAOcpk/nZzx1ivYNdxkzL1ywzdOkt9q1RdauNQzkv//OqFtnLrn791teo1kzGsS3brW9fsmS9EiaNInfxd691Pm76vIbFkbDbq1aNMKb220OHOB3P3w4YzcuX7a9blwcP//69bT7lChh//s8ezbRjzVDAA+7j7YCcAb0Hvrg8bZBAAaZHdMHwFKr80o9FhyHARzXz02oKUGQMZk6lb/I+vU5OInQP/+ll7i9d28juOjoUb738TGMiQB94tetExkxwv5AOGeOc0Pp3buWxy9aJHLrFtNJOEqvMHEiDcgiPN7fnwPx5s3273Hjhsjzzxuf9do1bjeZmGbjxg0amw8fprfNhg0c+ObPp5eUK9lNr1yh/77ex759RV54ga9nz6aBvWNHx+fHxnIg143i5u3XX3nMtm2229zB2bMUJlu3Wm7X4xXMM4UWLizSrp3I+PF83nfuWJ4TGiry4YeGYKxYkb8BT8aipGU8KghSuilBkDGpUsX4B/fx4T9tx44io0YZ++rVs8xTc/kyo0YT405YqpTIjBmGsLFGPy4ujgPGkSMcmHLlsryOtYskwAhbe+my3dly5nTNFz4mRqRzZ56TIwdnynpULcCB3JrwcK6+ihXjMUWK8G+JErxemTL02Bk+3LJP//6btO/cnJAQel3pgv3nny336zELd++K7NlDodizp0i5cpZ9KV+e2zt35u9I0ygsPB2MmB5QgkCR5omKoopnwQIGCL3wAv+pzWf8AAcj6xxE69fbDpiBgVQb+fszDUF8vMiqVQx2AqiiGTeO7qF37nAwW7jQCA4rVszSXbJbN+O1prGvLVp4dtC316ZNS1xe/MWLqUYrVIgqHf06f/5pHHPoEF1h9bQQzz7LyG598N28mSsT674MGZL8CN2wMAraLFmM6771lu1xY8dyn70V3e3bDCD79FOmty5YkBHJw4ZxdaUgShAo0hUmEweYkBAO0DNmcJZXujT/yceMoZ95t26Wg7WjdvGice24OMuCJ660oCDqujWNg1TevAwai4+nLjpLFiMvkvl53btzX9GitknU2rThYBURwZXNX38xaZ317NZRn7Zscf15Hjtmey1/f6Z+0O0Ffn4iAwdS7SbC1YH1PfPkMV5PnUobwG+/Ja1gy61bXFn4+Rm1JgCu+mrVYhBcZKRx/Icfcr8rs3qTSc3+7aEEgSLd0LGjpYE3Ka1yZcv3zZtzEHv9dQ50ABOT5c5te655BGuFChRAgGGk3rNH5Ouv+XrjRvb54EEjCdqwYZaJ0vbvpxHV25srkLg4pm8AqAqJiaERXO9zmzZU44jw2Pz5ee6qVYYdRW9Nm9KG0rKlSKVKRpI8Pz/aCAoXtv8smze3rNSmD/BduljaFlxtEye6/v3ev8/0zwEBFKw9e9LGkDMn1TzVqxvFboKDuWIQEXn/fW5XJB0lCBTphnnzjIHJ35/L/ffftx2gSpUy1Di5c1umMXCWWln3TDI3uprn5DdvcXGc9Vevzvc5c/L9w4cc3KtVs6xS9tprPK56dcsEa3fucJAFOGCXKWN7r8BAqmOs6dOH++fMMbbVrJk0AenOlj07P2ffvpYz94QYMoTnd+zI9OE3btAGUaAAB35NY1rvX3/l91+8OA3nw4bxnoqkowSBIk1hMlGNoqc92LuXScZ07txhHhw92ZjeGjemjvzgQcOL57nnbHPl6AnrEmoBAXRTfOstwzBq3r77jtczz7Cpq0EWL+b7n36yvPeaNZzF+/mJfPMNdetvvOFavp7y5blqeeklXl+Ez6VlS87sV6/mtlWreLye2iIggGqll16yNGJnzUrB07at4TmzfDk9cv76i15WK1Y479P06bQhAEzalhx++cUQ8v37i+zYYaxk6tfn9ilTeGxUlCG09VawYPLun9lRgkCRpjCZjAIj5jPMJk3oJbRuHXXn4eGWHipFi1InXaECB8ZPP7Xvf//mm1wtHDrEwcudM+FXX6Vq5+5dzsyDgiyrZemeN+6415IlvOaDB9SbZ8tGo66+SgBoo9izx/AkMpm4zZ5KKCCA2VynTeMxX3yRcB+6duU1CxfmqsbV73fNGp67ciWFZ2Qkk/Ml53n07Jmsn12mRwkCRZojPl7kk0+MgK3nn6dqwNxLqGJFzhx1Pb3eChXibNYeUVG2un9No9E2JIR+9OZGT72ZB4klpbVqZcxqE9smTBA5d47qKvNSioBR1evmTfr1Fylif/WSLRtXNyNG8JklVwg99RRXNNev8/59+vC56SuiiAgWsWnenMdWrmxf5eXuNniwe1OQZyaUIFCkWTZsoBdOzpxUHfz3H1UX48fTQGtv0H7rLRpYrWMBzp1jRSp7A8iBAxQeq1fTR33KFCODaWq1ceMogLy8uBI6eZIz++XLLTNsvvuu7crn0iUKuGbNqEZ6+22uGswDrpLSdu+2P9AuXcr9w4fTtVe3z1SoQAO3nvffU+2nnwwX3nbtlFdQUnAkCJKdayg1ULmGEsf9+4DJxLwxaZWQEGaN3LuXeWgKFDBa/vxMUnb2LPP8mOPry1w09eoBp08DR44Y+8aPB9q2BZ580jN9/v57oGlTJjMzTxKnN/MsoZcu2WYjBYDu3Zlcb+pUJk4DmICuVCnmHjpxwvL48eOBUaOM9++/z1xMTz8NLFnC/EUrVwJDhzI/UGLo0wf47jve1xwRZnmdOhVYsYLbChUCunUDevZk1tdRo4BVqxJ3P3PWrAEuXOCz8PVl0sHChZlx1hF37zK5nsJ1PJZrKDWaWhG4TmQkjXG1a6d2TxLm4UMGMPXowUCtGjUY1KUXHnel6TPGCROM68bFWR4zdizVOHnzJn+WWrWq65+vbt3k3y9LFstrxsc7rg2c2JYvH5/NmjVUoZ0+TYN9yZLcnz27cWx4OFckbds6d/WtWtV+BLbehg2zjEE4dsxQrzVsaKj09FiRESOY76lXr+T91jIrUKqhzMngwcY/XUL1YtMqJhMNs/PnJzyYeXtTNaLrtXUePTKO2b/fuO6cOVQ/6UFViW1//eXaZ4iL40Davr0RGJVQW7iQRuldu5h87/33bYutm0yuD/Lm7zt2ZCyEK3aR5s15//v3mZbC19d+oFuPHvw7fLjRv7AwqqvMj8uRgwK/UiW+r1bN0t4TH8/vxfwcXU1Wq1bSK9IplCDIlOhpF7p358zqo4+cH3/qFL1whg6lW2KHDnQtTGl0w3DXrkws17o13QbNB4ZXXuFAlj07ddOnTnHQrFuXrprW3L9vnKtHCYtw5jt5sn3jK8BrWQ9i5u+vXk3488THJ+yiOWoU7QKFClGQ6S6UrnDvnv1rdu1KD6tr19gH889y+rTlNSIj+fvQ95cvb9hann6aRmM9x9P339veK08ekQ8+4Ou5czlzr1mTv7ts2YyIa3sBfHqrWNGoS+2stW6tjMVJRQkCDxMbSy+KCxfo475tGwNiFi2y/adLzDXDwzlo3bjBdv06/7HDwtiuXmWGxdBQZpy8dYvn3rjBQaVqVbo2Nm3KJb6zVYGenVKPTgWYTjilGT8+4cHAvGXLxhl9z54cjGbPZnrlY8coAESM9NLmfunBwfavV7Agn+vu3UY5S/P222/8TpYtc5w6OjKS33///raDW7NmjhPTlStnW14xPJxBdo4Gv+vXaTy1vpafH1csMTEUCgAT51Wo4PjZnznDuAyAQV66QTg5zfwaTZrwuZurmZLSZs9O7K9KIaIEgdv5+mvOmgoXTvhH7eXFZfOpU65dOz6eidf0DJCJaZpGQdS2LXXrR47wmmvWGLrc4GDOOM3VJ7qfeNeunG0DnNWllmfGypXMezNmDNUI7drZ9x4aNIh9btCAM33rBHXWs1DzDKelStGWcPYsI4uXL6cX0t27DOrSNKokVq7ks8qXj7rqy5ft9zksjCqNNm0MvX1AAIO8FiwwhLQIn+uJE/xsetQywJXJ0KH0iNJ154sWcV+/frbfx7Jl7FfWrAx6i4vjczP//Prv6IsvuPLw8aGqLCKC6ifrPEEmk63XUlpqVaoYv2tF4nAkCJTXUBJ57z3W1G3SBKhZk94LOXPyr/nrrFlZ5vDbb1l9qVs3lkwsV87+dXfuZCWrvXt53V69WANXL7Nn/ld/vWoVsHEjvT3efJPXfuMN4OuvgbffNq4dFsbavwsXAgcP8rrPPcdSfjVqAJUqGceOHg2MHZu2yvuZTMDRo6z29fAhP5t1Ldq4ONbVvXKFFcUuX6bHzsyZ3F+/Pp9x3rxARITtPbZsoSfPrVt8lmPHssrXxYssganXKK5dm1WuChSgN5Du8QPQ66ltW5awbNSIXkAJERbGspdr1rBu76NH9JZq2xYoUoTVtQB6A02axL6/8Qbw889ArZSYMeQAACAASURBVFrAjz+yehjAMpjBwUbtX50pU1gbeNgwXu/vv4H164HWrelxFBBgefyDB/wdewIvL95v7FjgtddcrykcGMhn5e3NCnGLFrG2scI1lNeQm7l7lzPo4GDnmRdjY6liePttY0YTGGh73IULRu74wEAa51ypWGWu6siXz7Iy1Zgx1IHb49gxzviLF7edcY0d69ozSCqxsZyBJyVjZVLYs4efa+FCeroAjPy1h/nqrly5xHks6S2pqkCd+/cZ59Ctm2UNBN17p08fqq98fbmisKcyclREx1l7/XUm0TNP1xEa6rmZ/QcfMHLaup6AK83Hh15FiclxpHC8Ikj1QT0pLS0IAhEj18z06bb74uLoHWKeIrlqVaZONk9HfO8evUGyZKFO9+OPE+cVsXcvE51160bvDvN/Fi8vthdfpM3CnppHVzvobfLkRD+GRDNjBu+VLRtdRHv0oIrm0iXP3G/0aD6HW7cMwXnunO1x5iUZK1dmCozhw9nf9etpX4mKYtqKESMss5Sat99/d1/fHz1iuumPP6ZQ1w3pNWo4Vo+EhBh9WbaMxlt3D+KDB1MFqQvzmzeNfbNnJ3y+v3/S7jtqFJ0CHBUVUjhHCQIPYDKxgEeuXJb69ogIw+D24ouc9ZhX1RLhLG7WLGMG36uX/Tq3icH8H0aEA+v77xv+8tWqMYma/k+0fbvtP1pKoGebtL73sGGeuV+NGvRNF6EHzFNP2R4TFmboxF3xlDKZ7Nc31lvnzp6xr8TGskiMeYI+a9atc//Ab94aNbL/2ewd++GHXNnGxXGCExjIZ6NPohLbypZVQiA5KEHgIU6d4hK9Rw++P3SIS/gsWTjQ22PnTiP3fMOGnNUnF/MKXdb/KJGRnBXq7oB6vVr9eN0101MDsTUbNliqsOrWpSrElfKL9oiL40C+bx89dWbNoivkq68ycAygKigsjK9Ll+Yqatw4JqRbs8ZwC33mmYQH8HPnLD2Oxo2zn9vntdecD9ieZN062yI37mwLF1re7+FD+8fNn88Z/O3bPC4x6S9eeYVG68mTmVLkhReYjyq5FdEyM0oQeBDdf9raHTF3btti2iJ0HwSoDnHHrDEy0tAf797t+DiTie6E1v3USwAuX578vriCPjjrrWlT+0IgPp6rh4MHObDNncu+DhxIr6iaNTnDtBfZqml0n61RgwNIaCgHkM6dKRCdRRWXKUN31G7dmOPn66/pRz9kCCOe9SR5rrRx41LmmTrj3j0KXz1ltbvazp2c5etuxwk1c+EP8Lc4b57lNhEmsgOMgjQK9+FRQQCgJYDTAM4BGGFnfxMA9wAcetw+cvVcey0tCYLYWPt+73r1p/Xrbc8xX7onF5OJemNNc103HRBg/x/VvPCJp4iPZ5ERczdOgAZQc6E4b55jH/YCBajmev55zho//JB6/NWrWdYyNNS1gKOoKNvBcehQplpObAH6kSM5S/7+e+rIp02jAElr9XLv3rXsd8+ezjOmXrxIg3nv3kwI+MwzSRMarkQw58nDPn76Kd+rCGL340gQ+LjBHckbwHQAzQGEAtiradqvImKVLgs7RKRNEs9Nk4gwSdaUKZbbt2yhe2Hu3MA//zAR2OLFwPLldMesVs04NiQEeOKJpPdhzhxgwQJgzBigZUvHx8XFAbt30wXSXvIzgAnFXn016X2x5u5dunseOWK0Y8fojgnwWZQrB1SuDMyfT3fMDz/kvt27mczs66/pMhgYSDfKwoVdc8d0hfXrLd0+p0xh//bvZwI0gC6OlSsDZcvy9YwZdLOtWJHJ3XS++YaJ7+rWZfK8KlXc00d3s2aN8XrJEibEW7DA8phatei23LEj3ZhjYvi+aVMmMPzrr8Tf9/z5hI+5c8fSXfnpp4EcOQB/f/vNzw84c4b9zZGD/4/x8Wxxcc6btzcwciTPUyD5KwIAdQFsNHs/EsBIq2OaAFiblHPttdReEURHU/dpXi6wdWsGBvn5cRZlXfrQ25sG5A4dbGdClSrRWPzNN4ZHRGws1QojR1KFNHMmPXzWrmVVpyNHjLQFehF1ayIieE63bkYwlo8PZ3VffGEZsNatW9KX4o8e0R118WL2t3VrW7fUvHkZVTpkCFU8e/YYMz59VQNQrz5sGGf9ziJgk8v+/ZYR1HrLnZtqp6++os1B94oxmfi5smblZ/37bzoK2JvZPvus5/qdVEwmqsn0Pk6dSldR837XqkW3ZYC2FhEGseXKRbvIm28mbTWQlPb881Q5NW/OVOHVqlFl5ygVSFKaeU6kzAI8tSIAUBTAFbP3oQDq2DmurqZphwGEAXhXRI4n4tw0QVwcMG4cZ4Xh4ZwZNmvGFcBnn3F/zZpAyZKW502dCrz8MtMlA0DXrgzs0omJYUDYTz/xvbc3EBTEICZX2LyZq4+cORNOPdynD1C9OpA9OwOTTpxg/xYvZgOAYsU4o33qKX6WEiWAChW4HWDA0u7dwPbtbP/8wwAvAPDx4Wy5USOmf65alX8DA+0Hp92/zxTG+qx05kymIW7WjAFdnuLTT4HoaNvtrVtzNVezJj+ztze3z5kDrFsHvPQSA/42b2YQVNas/P50PvsMGDDAc/1OCteu8fnrHD3K76hhQ8vj9u4Fevfm6//+YwDfunX8XVeowO39+nHl07+/+/tZpgwwezZXHgAQGcmguOPHuVLT/yZE9epAgwb8LTpqfn7AwIHu/wzpFnvSITENQGcA88ze9wQwzeqYnAByPH7dCsBZV8812zcAwD4A+4KCgjwrNh1w/jy9gfQZRcOGRjWpcuUs0xs8/TSrbwH0JNKJiDCClPr352zr+ec5Y7tyhbVoP/iAqwd7KRVSu1WubOjuvbzomfLWW9SPHz7smufPjRt0q7V3/VdeSRmvkKtXRY4eZfDW2rUMvmvb1nLG6eXFz+sofbQ9o/GGDVwhnTjBFdunn3K1VaMGfeeLFqVx/PXXjVn5pUuuBQ8mBetkd7GxtKXomT9r1WLmz1OnLI8LCeFnALhyGjKEq9zRo7mqLFSI37m7fld6htOKFfm+dGnL55s1K1cF5v9jCxcaz+3iRa4k9QC82rW5Gk6qJ1pGBZ4yFiMJ6h0AlwDkT8q5IqmrGrp5k0azd96xn7SsUSP+feIJkePH+XrmTP5jDR9uGSmqDzYBAfaNmyYTI45//pnnumKomzPHfjzCf/8xp879+xyIL17kP/q+fQw2GzHCMvjN358uptbpiwF6KK1dS8NjUrCuZDV4cNpyCbx6laqRjz9OWs0CaxfJoCB6Gw0ZQhVgnTq2vwPzVqiQUZ4yOQwZYnndFi14b4ATl+XL+RsLD6d/vo8PHRnu3+f22FgjBiY62nA57tmTExoRyyA8d7bChTmRWrmSkdoPH9KQD9C47UiN+eCByLffGtHKRYpQxWoeLZ2Z8aQg8AFwAUBJAFkAHAZQ2eqYwsD/8xrVBnAZgObKufZaSgiCq1c5QK5cSS+Q8eOZJqJnT87ga9XigOisKIgrEZYjRzpOA2EPPUUCQFfIpk3Zn/79LZOauUJ0NL1c9FVN/vz2Z7+NG3PQ2LbN8E1v2ZJCKikcPkwbRVqere3ezc+oP4OAANpA3nnH8XeZJQvtCCNHMsncvn0cmOxhMjEI0VpPb96sgxATS9++9nXqH31kOfGYMsX+ZylcmCsi86R45s/juee4klq82PUaC662Pn2M/t28aUyCBg927XcTH0+hpgd2Zs1Ke8fhw8l7pukdjwkCXhutAJwBcB7AB4+3DQIw6PHrwQCOPx7odwOo5+zchJqnBYGj4Bi9BQdzkOjRg8Jh3DgGMa1YwVq7Fy4k/EOfNo0DcWL59VeeP2NG0j+fycQcNbpfd9WqdNeMiuI/3fDhjHWw9vsuXpyZNcuW5Xs/PxqyUytoyhPs3k3Bav19h4cz/fTrrzv+Ts+cocAEaBB3levXWY+3f3/j2eqtbFkO6Fu3Ju3z2KsdADDiXOfRIxq/V69m5PnEidzfv79954bkttmzOUg7q1yWJQvTrf/7L3932bJRdeQIk4krmbNnGd/wyy9ciY8ZQycFa0GYWfGoIEjp5mlBcPWq5Q/nt98MD5u8eR2HuN+5w5muox+3O6KITabkL3Pv3eM/mrc3P5ujoDaTiUvw33/n5+rWzQhcM29VqljmT0qP6Inp9KZX27JuPj5cDbZv7zwh3ejRSe/Lw4esSjZxomWdgbZtqc5zFfNiPEOG2MYL6OqdhDh1itG95r9jZ4N4UluLFvQa0wMuzVu7dlQVffYZbWj9+/N51KnDdCX2PMD0li8fbSJNmjBGZO3apH0vGQElCBLBnTv2f1D6IP/dd7bnvPee4x/iDz9wRpmW+PlnGuPatk18tadz55hor107y4pd7tBrpzShoUwu52yAatuWKSq2bbPMdnnrln21yjffuC/P0LlzttcfOJCzZWtMJvbvxg3+3nRBpedWio/nSlS/zqxZrvczNpZqpjZtLLdHRNiuHD3dvL2ptqpWjaqfHj1oKJ44kauGDRtEDhzghC4jrVbdgRIEiUQ3TLVpY/wAW7emEbV6df4D3b7NfyZzvXqhQvRWiIw0auym1RnI9Onsn72CJ67y6BEHyAkT6PWUXoiL44BtHmXduDGN6mvXyv9n/w8fOr7G/fv8nZh7sug2o2rVaLS0l2LEVeLjWQTHulymeStfnh42+fI5zuPz1VdM06Hr1i9coG0J4F9XvrfVq3n8mjXGtn37LO/z3Xecseuf/513HMdaAHSUOHmSNjJHtpfFi3kv3XgdHe05D6vMgBIEiSQ6moayIkWow500yXL227ixMePSXfGKF7e8xqNH9BipVy/1Kn0lxOjR7PuoUandk5RFr8Jm3po3ZzUx3fPr77/tn2syiSxdyjQimiYyYIBhqL97l/YbPXjLz4+eQjt22P8NxMbSLXnTJp43dChXWpUqJa4WwsCBNFKb171w1l58kYIqRw4mHdy+3fnzatOG/wv66lGfKNlrDRrYepTdukVBoR+jG7FLlKBDhslEodexI/s0fDhX4OlpcpEeUIIgCRw4QJ95PaXwlSuWCdOKFOFMJiqKS9Snn7a9xrff8tht21Kky4nGZGKWToAxDJmF9etp+O3Wzfg+g4M5ww4MdFyc58QJQ4f91FO0LThi/36W0tRXHblyUaURFMRZfKlStvmU/PxovO/QgYPh7Nn08w8J4SB88KDhAmrdFi5k7QJXBciff9LFuVw5riamTbMvrEJDOXuvU4cCIKHoXn9/OlB8/DF/W23aUFh268YVk+7e/NdfRkbcZ59lxLZIyhUsyow4EgSqVGUCfPYZ8MEHLO/YvTu3/fwz0KWLccwnnzDSNC4O2LXL8vzoaEbm1qgBbNjAbbGxLKV48SJz2ly4wNf58gHTp6fIx7IgLo4RsqNGMeI2s/HWW8wVtH49y4veuME8OwDQoQPzBz14wHKjd+5w+8CBwKBBjFLVNH7H/v72rx8Zyd/M/v0sQRkby78izDNVpozRihRhGUdnmEzAvHnA++8zn5M1ixYBnToBPXvyvp9/DtSpw9+Znx/Lk8bEAEWL8vh793jsb78xsnjmTB6ns3MnI3WTQoECjGIPCeH7ESPYH524OEYTjx7NKPPXX+f/nMoB5BlUqUonrF1rBLDcv2+5LzaWNoBcubh03bTJmMXYaxMmUHd6/To9P8yzW5YqxaWwvQLrug0itVRIuXMzl0xmZNcu12bQCbV//knZ1Mk3blDtZK8vV67QvlGnDlUtx487v1Z8PF0tAebQunyZ2yMjk/9czFNNO7KZ3LpFjyHA86VSMzNQKwLHhIWxCP3ZsywYPmIEZyb6rOjcOeYvyZaNRcNLlmQenGHDWEC9WTPmqEmImjWB8uWBUqV4jWPHOMv08uIs6O23E54NeoqSJZl7Rs93lJkQ4XMvVYp5pEQ4Y9+5kxljXc35pFO6NPDss2zPPMNZsSfZupW/V+ti9ZrGFUtsLPM9HT7s+BoxMcCqVVxlXL4MDB0KfPUVn8XMmVwtFSjAfFalSzMHk8lkDPd16jB/0aVLfF5r1jCjrDWXLzMbryOqVmWerXXrkvAgFAmiVgQJEB5uqXsNDKTxTve0+OEHegRNnMiZ1kcf0VB48SL3N21qVPoyb6NH2/pr37tHTx2AHkhHj7r94ySa6tXpJplZefTI+WpswADns948eRgk9emnjNA23/fkk7QlrV1ru+J0FzExDGabPZt1ED77jNG+w4Zxpv3VV/bPO3uWtgi9zyVL0lU2Od5O5kRF2T6rli3ZV+sI4YcPaYMLDHTPvRW2QBmLEyYy0tJdVPdq+OEHS1/7mBiqklq1MrZZB9jYK44uQu+MEiVofBs1Ku2kWWjcmN4yCvvs3El/9b596aEzZAirl+nfd86cNLrqidJeeolRyuPHMz2CbsD18aEX2ZQpqacGfPSIA7Hu2untTeP0xo3ud820V7RJbwEBVLt2786+6EFh+fOnXS+79I4SBC4SG2vkJ6lVy6g5UL68yLJl/EdZupTbFizgNmtfafMfcXQ0dcfffMOoRk2jx0hai8Rt354zV3POnOHssFUrx4ItM2IyMeWD+aTB39943aKFra0gKopF50eMMFxLv/46Zft94QJdTAsV4v2DghgIuWWLZ3zzo6NZQ8BVW0K9eoxTSGoyQ0XCKEGQAPfvMzhMT6rm58d/VJOJfs56rIB1iUXr9tNPzDMzYAD/4c2DfAoXpkHWUSKylGDFCkaCVqnCnDoDBhilAQHmMho1igFB5rPdxCTGy8jExnL15Oj7nzo14UE1Pp5FV7y8aKj2dH9XraJwcva7rV+f6qPJk7la+eYbupM6iqVIiD17jP8ZvYRq3778Le3fz9VUyZLMpaSniZg2zX2fW2EfJQgccOoUfZ31GV3VqrYRoXqWSEe1fu213Lnpbz5yJBNgXbmSNpa7rVtTELRvT6HnanqAYsUYJzF/Pj9LZo3uNJk4oDmaEBQqxOfUrRtz4sybR3/9ixcN9eL27Qw+9PGhF5qn+Ptvo3Z2Upu92BhnREdzleHlxd+MedqRX37hNWvXdpyvS+FZHAmCTO811Lw5K4z5+QFz59IfXK+EpLfwcNeu9fbbrJ9aqxZ9wu1V5PIE8fGMUTh5kt5NNWsCefLYHhcVxViFkiVtPUwSS9asvE7p0kYrVYp/S5akh1VG58IFft46dRhXcO2aERNy4QJjReLjjeN9fOgRc+kSn9GSJfyteIq//2ZN7d27Lbfnz8+4gV696MWme/+YTGyhofy/iI1lBbpKlVy73+7dQN++wKlTrH395ZeMy9CJjLSMD9i2jZXsFCmH8hpywNWrVI9Y+/bnyMHZkCuFSWbOdFt3EkV4OMPw7WUELV2aNolJk6jPvn+fmUYTOyPct88oZLNqlbE9a1YaGKtVs0y9obeiRWkwtV453L7NqNPr11PlkbkdZ8b+R4+ol9+yherCkSNFXn6ZFd085T1kztmzlt9Jhw70XHKWZPDWLap0cuRgCmhXiIqiqsfLiyudjRsdH1uqlGWfnOVyUrgfKNWQc06fpm70t9846OkD2OLFfEoDBzJfzMOHLI6h/5A/+cTtXXGKyURvlF69DE+Uxo2ZTfTGDRokP/+cuWSCgox+WpdVbNqUetwZMxwLAXtGuwcPqFbSn4nudnnjBo3iCxcyIKhhQx5jniUzJsbQr5csSWO0wnPs3ctn3beva9lv79+n2iZrVqqzXCEsjI4UAO1qH37IKnnLl/O3uG8fcyndvk2B4eNDg/nWrbSnKVIWJQjczPz5jCJOKb1/ZCSTduleTDlyMCulnp/FETduMK/OJ58wGZirKwFnM934eMtj7dVHWLmS+w4cMLZt3257H2e5ekSoc756VeWf8TTR0ZwceHsz06irnDxJe0n+/I4j5q3bsmWe+xwK5zgSBJneRpDWOXsWmDUL+OEH5rmpXJlRpD17AgEBib/eokVAjx729wUEMKdOeDj1yPYQAT78kJHQ5ly8SPuKzj//APXqMUK0VSvj3F9+YfTun38ax1atCjz9NHD7NiO3b982WlQUjxk4kM9B4X7i4oDOnYHVq4Eff6TtICmI0A5w5w7b3bu2r+PjgZEjHedlUngWZSNIR8TF0Z9ad/nz8aG+fdu25K9AYmLoqpc7N6NO7dlAGje2X4/YZGIJQ4B2lfh4usMChougjl5buWtXqgWsOXmS+nLz+1aqRJWSeXZLb29e4+zZ5H1uhS3x8Zb1iKdOTe0eKTwN1Iog/fDii5w5BwZyJvzqq8xKac2+fcCyZczaGBrKfDA5czKbY0CA4Q1Svz69hWJjmWHy44/pDbV7Nz1ebtwA/viDmSrXrDGuX6YMvUeaN2fOnOnTuRrIlo3ZLbNkAXx96Q1j/ld//dFHxrXKl2d+Jj8/7vf3B4KDgdy5ORvdtIn5cPz8gD17uH3AAGDwYOe5aRRJ56efmG0UAMaM4e9CkbFxtCJQgiANMmECl8+ffsqB1xGuuqd27kx3xfnzgZs3mX64f3+mnc6SxfJYEbqWbt7MtnUrl/teXhQsFStSoMTFOf/rKjlzUpCZM2UK8MorKhWxJ4mMBMqVY8LF7t2BBQtSzt1ZkXo4EgQ+qdEZhXPefx84epQ52itW5ArBHgcOcLDOlYtZHXW9fZEiwK1bxoC8fDn/BgTQJzxLFs66v/mGGTKrVTOynmoaj6lUiXn6Hz3iyuH117kScEX+ymOfdHPB8OOPwDvvAP36UQAdOAB07WorBADGcSgh4FkmTqQQ+PtvrhgVmRu3rAg0TWsJYCoAbwDzRGSC1f7uAN5//PY/AK+JyOHH+y4BeAAgHkCcPWllTUZfEQDAw4dA06bAoUMM6gl28lRWr+Y/da9eCRuQfX1ZaOXmTQb+AFQbPfOMkTrZXjBchw4MknKWyjghunYFli6lCujYMQqfLl0oIPLk4aC0YwdQtizw3ntJv4/COVeuUFXXrh2/D0XmwWPGYnDwPw+gFIAsAA4DqGR1TD0AeR6/fh7AHrN9lwDkT8w9M7qxWOfGDRp2ixSxX7s1Jsa1GrVBQUxF/OuvlnmOQkPpy927N9MB6McXLy7Spw+T6unJ0zp3FqlQIemf5cEDI48TQF9yvWShImXp3p2xApcupXZPFCkNHBiL3aEaqg3gnIhceCxxlgJoD+CEmbAxL+C4G0AxN9w3w1OgAFUqjRvTYPrVV3TDCw2le6Y+o0+IS5fs63+LFqUbas+eHJ7PnqXR+I8/gF9/NQqLVKxopKSIiWF6icRw5w5dSA8dYoqFy5epjtJLJSpSjj176EI8ahTLZCoUANyyIugEqoP09z0BfOvk+Hetjr8I4ACA/QAGuHLPjLwi+OabhGf4jtoPP3CWFxPDKF+AwWRJIT6eWSInTrTMXNmsWeKCu65dYyK/LFkYZBYXx6C4woVVuuHU4OWXmQrClUhjRcYDDlYE7iiMaM/XwK7hQdO0ZwC8AsNeAAD1ReQpUGX0hqZpdtNQaZo2QNO0fZqm7Qt3NQtcOuTq1cQdnz07UKUKg8D69KHLaYUKtAMACSd/i4xkEJc1Xl7AU08xadmGDYab4ZYtrrsZnjjBoucXLjCwrGNHljicPZs2CmceUQr3c/UqgwlNJmD8+NTujSIt4Q5BEArA3NO7GIAw64M0TXsSwDwA7UXk/0OPiIQ9/nsTwCpQ1WSDiMwRkWARCS7g6SKwqciECcYcf8ECGnF9nCjwoqLo369HAmuapcfNpEmsvav7BERFASEhwN699AZq2ZLnVq4MDBoELFzI/daUL2+8Hj8eWLvWcZ8uXKBQqlqV0cFbtrCus07NmvRCmj7dNS8kheuIcFKweze/y7FjqV5ctw4oVozf7eDBdNHdtCm1e6tIM9hbJiSmgS6oFwCUhGEsrmx1TBCAcwDqWW33BxBg9noXgJYJ3TMjq4bM0StZAcwrP306E3rZUws1bcqiM3pmyUuXWAbQVbVS06YsGmJuMO7alUnpjh6luqlPH2N/zpxMJmZOaKjIoEGMhM6WjZHL9vIQmUys+QwwO2pm4sIFJmSLj+czDQ/nczx0iJHjH33EGhH+/nzeo0czW2m/fiKdOtl+p4ULM/9/p06MEk6oZsb27Uz+VqkSz1UqoswFPJl0DkArAGdA76EPHm8bBGDQ49fzANwBcOhx2/d4e6nHguMwgOP6uQm1zCIIHj1iCuMhQ0SeeML+P/Y//7AubPHihsAYM4aJ2pYts3/OE0+wYMqXXxrb3n2X+vuDB2mneOkly1QPAJOLmReyqVyZycpiY3l+1qwivr70UHLkEWQyceAC6L3y6FFKPtHUp2xZ14VzYlurVkz5MWUK002fPCmyZInlMXqKkoMH+V298ELaKJikSBk8KghSumUWQWCOycRZo3UxcH9/zu5atLB0AQVEWrbkQPDRR8wOab7Py0vknXcoaPRtI0daDszWWUbttVdeYdppgKmx7eUoMr/eoEE8dtCgzFnl7Nw51rlI6mDfuTPzOkVEcNU3ciRXZ76+fB0ZaXm/oUONc4cNs9w3aRK3z52bcp9fkbo4EgQqxUQ6RM/sCTDjZ/XqdBENCaGrpjUVK7JylLc38N13NOICtCcUKcJgNJ3ixRlQFhjI9uWX3D5pEjOT/v033UvN0TSgWzfqpB0RF8c+LFzIYLEJEzJfSgOTCRg2jPr5xOLjw+cVG0sD/IABzPfk50fD+/DhzB1UogQwbRrddd99F/j6a+MaH33EYL3799nu3gWmTqVjwMmTdO1VZGxU9tEMxoIFxkyvY0dui4tj4XlApGBB1oj94QeRWrWM1UPXrnw9axbVSubZJ9u25Yyzfn0WjtEL3+gte3aREyd4L72gTfbsPNa8xrM10dFGMZvx4zOfKuLOHarhcuVyfeZftSpVaGfP8vmJ0N7y5ZeGeilPHtoPjh/n/q1bjYLxetOzw9pr3t68RoUKrN2tyPhAqYYyBg8f0g/fuuLY7t2GIfHFF22N/ujG7QAAIABJREFUtP/+y0pV2bLxmB07uD02VuSzz4zrjB1rlA88d47lDQGjfGGXLtzXvj3tEbGxzguR//cfYw8A2h4yExcucKDWS3nWqWM7GI8YIfLss3zdqJHI5csJX9dkYgWxLl2oEgJYdGjBApF790R69DCuf+0abUYA7UJnzrBMaFRU5hPICiUIMgwPH3JmX706g7QA1gfOnp01BhYudP4PHhHBmrLWx+irBoAzzs6daUfIkoUlKa9dM1YbO3Zw+9tvO+/rnTsi9erxOj/8kOyPnm745x968Xh58XnVrMk6DqNGibRpY2v49/Vl7emkVGG7eZNBf2XK8FqaJlKokHHtfv3Y9Pdz5rj94yrSEUoQZCD0Wbp5a9Eiebl75s+3vWbz5qzfrBMRQcOkbnjevdvx9W7epLDy9aVba0YnLo6f0xWXXfMC7gUKWJbzTComk8gff4h8/LFI//70IKpWzdLLS2/OVnCKjI0jQaDSUKdDWrUCVq0y3s+aReNhcoyvnToxCGn/fuDIEeYU2ryZhuPy5Zkb6Mkn+XrvXhola9sN/SNff81MpevXM2gtIxEdTePqsWNsR48CBw+ywE+pUjTWXr/OQj8RETTgi5lPxoUL/Pvmm8AXX9Dgm1w0jdlqmza13RcTw/6EhDBPlDvup8hYKEGQxggJoVfP88/b33/mDCuW6Zw7B5Qunfz7+vsDM2fydXw8r3vkCNvhw8CuXcCSJcbx/fo5Fzx583Lwq1Ur+X1LC8TEsLrbjz8Cv//OZwRwYK1YkVXcOnQA2rendxYAjBvHv/Hx9NCJiDBa4cLOU4u7k6xZmWBOJZlTOEIJgjTGmDHM+rl8OWfpOjExHGx27DC21ajhHiFgjbc3Z/7ly7O6mc64cSyWs3Mni807o0oV/j1+HGhkN3tU2keEKTDmz6cQvHOHLrXvvMMSn1WqcMXkLAUIwOeZLx+bQpEWcUeuIYUbefNN/u3cmcVpTCbm5MmWzRACCxcy38/Bg1QRPXzo+X5duEAVVNOmjGHwSuCX8+AB/5444fy4tEpYGAVt7drA999TvbVhA1Nof/klhXSFCgkLAYUiPaB+xmmMp54yXjdtyuAxnXr1WEPY1xe4eJGBSR07Uq3TogXwwgtA69ZUy7gDvdj97NlMUObj4zxoDGBg27vvAitXsk6yHviWnhBhAr7Tp/nZu3RhOVCFIqOiBEEq8/AhVSfXr1OXbDIZ+8yFAMAVQEAAjzGZmN1z6lRmAl2/HvjlF6ohGjWirrp9exp1E0tICDB3LmfC164xa+WYMSwoX8xBSaHoaNbBnTCBq4Vx4xhFm1Aa7LTI4sUUgF99RSO8QpHhsedKlNZbRnIfffSIft4+Po7dDcuVs3xvHUzmSuvdW+S33xzHGMTGiqxeLfL887y+pom0bs3ylnpGU2f06sX7vPyya0FRaZXr10Xy5mU+oKT49SsUaRko99G0ia8vMG8eC7s3b26738eHnkJZs3J/gwbAtm30XClZknn9vbyYyycmhvn/b96kl8+lS8Z1fvyRrWNH4I03gIYNee/QUN5/3jwWLilShAVj+vdPXO6ZQoWMz+Lvn+zHkmp88AGf4YQJhvePQpHhsScd0nrLCCuCBw84A/f3T3g2X7w4g470WgTe3vYzTYqwyP3UqSINGxorh3z5GH1cqpSRYiJ3bh7j5cXjWrRgbqKkpoXeuJHX/f335D2X1Gb2bAbB5c7N550ZM6QqMi7wYKlKRSLp2ZO6/hdeYKnIhLhyhUZkXV+t+7Bnz27snzyZhtnixYG33qLf+pgxdN+8dYsz//Pn+XrVKtoP7t4F3n+f2zdsoB+8r2/SPlODBkCWLKxGlp4ZMIBxE08+ydeNG6dfzyeFwlVUGupUIEcOSwHQqROjUP/7j0E/9lJJ2+PuXSBnTiBPHuDePQqBQYOAF1+0LC2ZUjRtSrXKoUMpf293YzIxfuDdd/m9vPce1UYqKleRnnGUhlqtCFKQe/dYy9d6FbB3L1MyNGvmuhAA6MEzeDDw9tusOxwWRuHgyLPH0zRrxtn0zZspcz9PzmG8vBg9feoU8PLLjNt48sn0v+JRKOyhBEEKsXUrI1F//NHYVrcuZ50hIXS1/PdfoGhRx9fo1o1CRITCo2NHGmfHjqWbZnw8g50qVaL7Y0qjF6j/80/P32vdOqZpME97ofPoEbBgAbB0KV1uXVG/OaJgQRZ82byZ75s3p2ovPDzp11Qo0hz2DAdpvaUnY3F0NHPSmxt/q1UTWbOGhtkRIxI2FgMsK2jP9fPGDRYr0Q2/5ud06JByrpyxsfxMgMirryb/etHRIvv3iyxdKnL3ruW+P/4w6iP7+jI3v86//7Koi/XzK1aMef9fe401fX//nfUCEuMiGhUl8uGHvGfevCLffady+ivSF1BpqFOeffssB6MSJZiqOD6exeUbNuT2AQM4yBw6ZF8IbNrk2v1u3WJxkpdeYrpo3WNIr3DlCc6fF/ngA5GAAN4vf36RxYsTd43wcJHNmynsevQQqVKFnlH6558yxTh21y56WlWpwsI5lSvzs+7ezZq8Xl4smLNqlciRIyLLl4uMGyfSsycLw+TObflss2blNTp2pCfW/PmsJxAR4bi/x4+zEIxeTObkyaQ9O4UipfGoIADQEsBpAOcAjLCzXwPwzeP9RwA85eq59lpaFwSxsbYFyhcvNmafmzYxT7y/PwvJWJ9rft7580nrQ0wMC9P/9FPyPos9oqP5eZo2tRVaetlEe8THs0LWzz+zSEurVnRrNT+/aFEGso0aJbJsGbd9/DHPP3CA5R7LlGGhHBGueAIDjfMHDrRdQZhjMnEVtX07i7YPHy7Srp1I+fK2QX3lylFgO/osc+dSsPj6inz0kUhYGMtLqnz/irSKxwQBAG8A5wGUApAFwGEAlayOaQXg98cC4WkAe1w9115L64LAfDD5+mvLyNwdOwz//iefFBkyRGTyZPrwHzggcvu2ca6zOsCpweHDrIGbJ4/8X91irfKyh8nEmXbevMax3t6c1ffowZXAli1cGVjj7y8ydChrJefPLxIUJBISYnnMkSMiL7zAmr3J4dEjkdOnGYE9cSJXC3ppTkdcvy7Svbvlcxg6NHn9UCg8hScFQV0AG83ejwQw0uqY2QC6mr0/DaCIK+faa2ldEEydylKF9oKzrl9nice2banL1uvZOmrXr6d8/825d49BVnopyyxZODhu3sxZuXlf7amgIiL4LACqU777jrp/V9VVhQuLPPccZ/2FCnFFkVKMHct+b9yY8LGbNhnPIW9ez/dNoUgKnhQEnQDMM3vfE8C3VsesBdDA7P0fAIJdOddeS+uCIDGYTBws9+/nqmDyZMuZtnmpyJRk716RPn1YCxng7H3KFNohdGJjaYPQ+zp6tKXxdfNmDuC+viITJiQtd49eizdvXpGjR5P/uRLDw4es31ymjGuC6/599rVFC8/3TaFICo4EgTtyDdmrU2Xt4e3oGFfO5QU0bQCAAQAQlJgkOGkcTWPa6Lx5jRTU77yTun2KjweeeYaBVP36McK2dm3bimTR0YxmbtuWmVI//RTYvh344Qfg228Z7VyhAl1ZzdNrJ4a8eRmFvXGjUewmpciaFZgxgy6jrVvz/rlyAblzW7YqVehmGhDAGI6CBVO2nwpFcnGHIAgFUNzsfTEAYS4ek8WFcwEAIjIHwByAkcXJ67LCGd7ejE0YNoyv7QkBgAPfmjXc9+qrQJMmwGuvsW4vwOR2EycaqTCSwuzZTF1RqVLSr5EcmjUDRo1iauoDBxgUKFa/vty5gV9/BerXZ3xBoUKp01eFIsnYWyYkpoHC5AKAkjAMvpWtjmkNS2Pxv66ea69lJNVQWmbUKKo6Roxw/ZwTJ+i+um6d5/qVmsTH0yvp0iW6+27aRI+jrFlpGwJEZsxI7V4qFPaBp1RDIhKnadpgABtBL6DvReS4pmmDHu+fBWA96Dl0DkAUgL7Ozk1unxTuYdw4FlqfMIH1dt99N+FzKlYEli3zfN9SCy8vqody5TKKwe/cSfXYW2/xvb4iUijSCyrpnMIp8fFA9+4c3L/7jjYDhS3R0UwBsno160DoQkKhSEs4SjqnCtMonOLtzVw7d+/SDpA7N3McpSQiTKh36JBlA2jIfuUV99VpTip+fqzTrISAIj2iVgQKl4iMpPfM/v2sj/zss565T1wci8ZbD/q3bhnHlCkDVK9Ow+y2bRyEe/UC3nwTqFzZM/1SKDICakWQSRFhYZUDBzhTrV6dNQwSi68v1UL//MMCNjdvJr4w/d27zPNvPXuPjqZnzpQpltuzZqVrZvv27Hf16kwFbd7/I0eAadOY1XX2bAqoIUPo7qlKTSoUrqFWBBkMfeDfupVt2zbblMlly9KvX281atAYbI/DhxkXsGgRZ+WBgayTPGqUfZdSnYgICp/9+42/Fy7QtfL0aRpbdcLDWVQnJobvhw4F+vZlcR1XK6ZFRDAl9/TprNhWsiTVRnXrAtWqUaWlUGR2HK0IlCDIQKxYQT9+XY1SvDh9+595BqhViwPkgQNGMy9uHxRkCIYSJThY//47j/P15ay8Xz+qh3ys1pE3blgO+gcOsMaCTsmSQM2aQOnSwBdfACNHAp99ZnmNlStZqU2nVy96IFWowL+lSrkmFOLiGNswdSqwY4ex/YknKBD0Vr8+6xkoFJkJJQgyAV9/zdn0qFEc7JYu5aDYoQOjfitWtDz+9m0WbjlwgIVuli+3f91Bg4DnnqOQ8PExBnt94L961Ti2bFkO+uYrjjx5jP09e1JgnT5N4WNOx46spwxwxXDvnrHP15e2AV0w6H/Ll2dgmz2uXeOKxrydOkX1VMmSXKF4GhG6l9arR9dThSI1cSQIkh1QlhpNBZTZJzycSeEKFmRgU+7czMMfEMA8/b17sxiLOWfPsp6Ant/I11ekenUe26sXcwxZF7wBmEG1YkVmD508mZk/791LuI8hIQy+6tHDdp/JJFKzJq8/axav9++/Ij/+yFoBL7wgUqGCbbroYsVEmjUTWb/e8X1jYlhUxtub+Y82bEjMk006n38uLieuUyg8DRwElKkVQQbjjTeY7uDtt6kjDwigquiLL5j/Jz6ebqA1a9LAun07Z6otWlAv364djbTmREUBR49y9h8Xx1l+tWpAjhxJ6+PIkQxSe/NNqnyCgqjGCgqirWL6dK4Oihe3f/6jR5zNnzzJGf7Jk7SFPHgAnDtna4w+eJC1oo8cAXr35srJfJWSEFFRXPXMn8/X0dH86+vLmtE1ajg+N1cu4P59Pr+UzpWkUFijVEMKXL3KaOF58ziglylDvX+vXs5rJbube/doc9i7lwOqOVmz0htJVws9/zzVWwnZB44coXCqWBEYPpxxB2FhtIOsX08j9bx5QJs2PF6EA/S1a2xhYcZr63b/vmuf66mnOPD7+lKF5u1tWTvax4f2mqAg7vPx4edctIj7t24FGjd27V4KRVJQgkDxf0JC6P4ZHOzc88fTiNBOceUKcPmy0VasAC5eNI67eRMoUICvTSYWrM+bl55C589zFbByJWfqzsialQnwsmWjK6u94/38gCJFbFv+/BQK2bPzGG9v9vXzzy3PL1uWfYuLA86c4SrFVe7etfSmUijcjRIEinRDXBxn8HXqAC++yIFeH/APHkz89WrWpPeUtzcH/+hoDrj2BvycORMvHMPCaIyfO5fCZuhQ5mVatIiqujNnaJw+dIieTNu3829EBD/jV1/Ri0mh8DRKECjSFX360IYBUIVSsiRVWSVLskaAI954g7aR69e5Sli92gh+a9GCM3hr7yl3cfYsMHo08zLly8eBPjAQCA21FS4mE1cYgYGpuypTZC6UIFCkK+7c4ey/ZEkajc1jF/bupZtpuXJUvRw+TDuArrpp0wbo0oX2hSxZ6L65ZAkwaxZn7h9+6Nm+79/PWg7btvH999/TDuPJSGcRxn3UqMGVjUJhDyUIFBma+Hjg7785G1+xgtHKOXLQKN2li6FqWrqU7z3NunWGYRpgYZ3x49kfd68A4uLogTVrFuMqdu50HCmuyNw4EgQqxEWRIfD2psfNjBnU2W/axAF//Xq6xOo6+JSqdDZxIstWPnzIQL24OAb21a9PG4E7CA+nK2y1ahQCvXrRS6pdu4QN5wqFOUoQKDIcPj5MhTFvHm0F69axVkCLFpwxe5pduzjYv/sujcedOgHHjwNz5tBjq3FjoFUrqrSSQnw8E+sFBtIwHRDAldCPP9JA/c8/QI8ePE6hcAl7UWZpvanIYkVapk0bkXz5RP77z3ZfVJTIF18w6lvTRLp3Fzl/3vIYk0nk2DGRceNEgoNFOnQw9sXEsBQoIDJgAI+zZsoU7u/Th8crFDpwEFmc6oN6UpoSBIq0ypEj/K8aO9b5cbdvsxa0nx/TegweLPLHHyLDh4uULWukzwgM5N/QUJHoaAoZQGTSJOfX//hjHtewocjNm277eIp0jiNBoIzFCoUb6d6dKT5CQlyrmhYWBnzyCdVY8fFUazVtCrzwAg3Lt28DVasyRmHJEuCvv4CZM4GBAxO+9pIljBwvVIjR2dWqJf/zKdI3ylisUHiYCxfolTRwoOulMwMDaeg9eRL45RcagDduZDrxwEAat3PmBDZsAHbvZlSzCOMQEqJrVwauxcXRSK1ndlUorFGCQKFwE5Mm0XvpnXcSf27ZsvQqsi6g4+XFyOgrV2hcrluXQqJhQxqgEyI4mHEXVaowkZ91SgyFAkimINA0La+maZs1TTv7+K9NTkdN04prmvaXpmknNU07rmnaW2b7xmiadlXTtEOPW6vk9EehSC2uX2fgWO/e7kvgp2ttg4OZniJ3bnoezZrFeg41ajCS+eFD59cpUgT480+gYEEWBFLeRAprkluzeASAP0RkgqZpIx6/f9/qmDgAw0TkgKZpAQD2a5q2WUROPN7/tYhMSmY/FIpUZcoUpsd+773EnSdCVdDFi7QHREQwJYaekbRAAaPUqJ54r3NnqpKGDWM22Z9/Zr3mJk0c32fqVF537lxVy1lhB3sWZFcbgNMAijx+XQTAaRfOWQOg+ePXYwC8m9j7Kq8hRVqjQQORIkVEIiP53mQSeecdegM9eGD/nEePRLp0MTyEHDVNM177+or8+adxjU2bREqV4r5+/UQiImzvs3MnC/J06cJ+KTIv8IT7KIC7Vu/vJHB8CQCXAeQUQxBcAnAEwPcA8jg5dwCAfQD2BQUFefRhKRSJZf16Y7COjOTgbz6Y9+/PQTs21jhnzJiEhYC9NmeOyP37xnUiI+mK6u3N6nSLFxsD/u3bIkFBIiVLity9m7LPRJH2cCQIErQRaJq2RdO0Y3Za+8SsPDRNywFgJYC3RUQv9TETQGkA1QFcA/CVo/NFZI6IBItIcAF9jaxQpBFatDBe+/uzAtvJk8a2pUtZ97lIEdaAXrECOHHC9jrmlC5tf/uAAUa67AEDWNBm5EgmuytShFHUrVpR3fTqq3RRXbpU1TpQOCZZcQSapp0G0ERErmmaVgTAVhGxCeLXNM0XwFoAG0VksoNrlQCwVkQSLOin4ggUaZFDhyzLVnp50c1z+XKgdWvaApYtY9WyyEhjv7tp1oyupv/9x/dffsl0FwqFp+IIfgXQ+/Hr3qD+3/rGGoDvAJy0FgKPhYdOBwDHktkfhSLVqF4dmDbNeN+3LwVAu3b0/3/hBQZ53bzJDKEREVwZ9OnDFcSaNQwmSy5btjDpnc7Qocm/piJjk9wVQT4APwMIAnX/nUXktqZpgQDmiUgrTdMaANgB4CgAff4zSkTWa5q2AFQLCWgrGCgi1xK6r1oRKNIydeoA//7L13rw15EjrK9Qvz7rKDgiMpJuqLt3A4sX2+4vU4aV2lylUyeuSBQKQNUjUChSjNhYFsTRyZ2b9Yh16tXjauGll6jrt+biRaBUKef3qFULqFCB58+Zw4CxNWvowlqmjHFcnz7ADz/8r72zj7GqOgL4bwAJbMF1FRb8WEQbi2hFVCQGVgUqilDcNkITUGrUIMSkaopVFBJN1ETXP7TGohBiYKONqFCLlApiV0AQcAH5aF2+tcUFlSqRAKvLOv1j7va9/Xz37dv3Pb/k5p173zlvZ3b3nbn3zJmZ9uuiavJccIFXUssFPMWE4ySJkydtSahPH5sso40AWERvRYVFBpeXW/W1qVOhb1+rIVBZaQFfDz5oKSVaMwKDBllA2P799sRRUQEvvmi5jbZuhX79LI3EggWRMbGCzdqishJKS81pvXFj+z/HyQJa2kqU6YfHETiZQF1d61s8hw+PtIcNU92yxbKHHjpkWzs3bFCdNk319NMj/bp2Vb3xRksjvWuX6owZkffmzGldjk2b2t5u+uyzjbebxmLdOtVRoyLjp09XPXUq8d+Xk37wNNSO07H8+KPqoEH2LZo4UXXr1sbv19ervvKKau/eqp06RSbWdesifU6cUH3zTdWlS5vXL1izJjJm1aqWZTh40ALZ+vdXXbzYjEtRUetG4ZFHWg46U1XdvFl17NjG/cvLPQgtl2jNELiPwHGSzNGj8Nhj8MILkWtbtjTeatqUb76xXUi1tVbl7PhxW5656KJInxMn4LrrLO/QRx/BpZdaqcoPP7Rj7drGsQwNdOpkfooRIyw19eDBloeod2/zMYD9zIoK82M4uYM7ix0njXz/PXTr1vjaQw+Zs7fp0bOnJa+rrrZgsZISGDoUevWyCb8oSO04ZQq8+qq1x4yxnUk1NXZeWGiTfWmpHVdfbb6Ljz+20p3Ll5vPoiEBXY8ekbgDMEPSUOfZyR3cEDhOGtm0ybaVPvkkzJ4d39imgWdjxti15csb95s82Sbv0lJ7OoiVXK621lJZb9wIs2ZFdjbNmmVyOrlHa4Yg0eyjjuPEQBUefdTas2fbssttt8EDD1hMwbFj8N13dnzwQaSewZw5Fnz2zjuWPqKBd9+111tvtYC1u+6CmTPD1xqoq4OqKtupVFlpwW21tVbrYOlSe/Jw8gs3BI6TJGprrVpZRUXk2uOPW2GZ4uLItdNOs6WjQ4caF7W59962P7+yEsaPt8I1sbZ3njplAWqLFsGaNZFloEGDLPfRyJH2pNF066uTH7ghcJwO5sABSyuxMyphymWX2d1+dbXt8z9wIHJ8/rkZgtYYMsQm7+7dbTKfNs0m8oEDLWCsgfr65stBdXXmR3jqKdi3z4LNpkyxVBbXXx+pceDkNx5Q5jgdyKpVFhDWYATKymx3z/btsHq1rd8//LAVkzlyxO7I77uv+e6cvn0jTxJVVdZWNT/AE0/Y9TfesOWjBmbMiLR/+AHmz4cBA2zpqLDQIo9377YxEya4EXAiuCFwnA6kpMTu4F96ye7G337b7uTXr7dJfOhQMwB799pEPWWKjenZ08YXFtqy0eHDFnXcwPTpFnW8cKE5ggF27LBlprVr7fyPf7Qnjrlzzfcwdaqt9y9bZsbklls8TYTTMr405DgdyIABtkUzml27bC2/pMRSTFx8sRmDaLp1s7Hnn9/8WL/enMHV1bYUVFBgY7ZtszoIpaW2FbW83JaLAK65xmob33STT/5ObNwQOE4SOXzYnLBduthun6Iiu0s/csSKytx9t032xcWtT9jXXmuO4RUr7LygwJabtmyJ9HnmmUjq6RUrYPRoNwBOeHxpyHGSxLFjVins668tiOvCC80QrF5tEb0LFpihaEhW1xZLllg9g4KCyNPEW2817jN3rr0WFroRcOLDDYHjJIG6OnPIbttmTt0hUSE8xcW2h//yyy0WYNGi2J9XUGCZRaPjKOvrG2cXnTTJymTOm9dxejj5gS8NOU4SWLIEVq60dlmZTf59+jQ+xo2zusWTJ1sq6+itoK0xcKBVNjvrLDs/etR2GIE5nCdNsi2mzz3Xcq0Dx2kJTzHhOEng5EnbrVNTA19+2fw4fNieGhro1Mkm9YbdQ7G44grzO0Q7plXhtddsJ9LLL1u8geNE4ykmHCeFdO8OEye2/r6qTfwNhqFz5/BGAMwQLFtmn1NVBYsX21PInj3mH3AfgRMPbggcJw2ImOO4qMi2k8bL4MFWgrKkBL74wp4ORo2yKmdlZbb05DhhcUPgOFnIDTfYZH/VVVa+cvz4SHpqx4mXhAyBiJwJLAL6A58Bv1HVb1vo9xlwDKgHTjWsUYUd7zhOYy65xPwMjtMRJLp9dCbwvqpeBLwfnLfGSFUd3MRREc94x3EcJwkkagjKgIVBeyHwqxSPdxzHcRIkUUPQR1UPAQSvxa30U2CliGwWkXvaMd5xHMdJEjF9BCKyCujbwluz4vg5w1W1RkSKgfdEpFpV18QxnsCA3APQr1+/eIY6juM4bRDTEKjqDa29JyJfisjZqnpIRM4GvmrlM2qC169E5C/AUGANEGp8MHYeMA8soCyW3I7jOE44El0aWgrcEbTvAP7atIOI/EREeja0gRuBnWHHO47jOMklUUPwNDBaRPYAo4NzROQcEVke9OkDfCgi24BNwN9U9d22xjuO4zipI6E4AlX9L/CLFq7XAGOD9n7g8njGO47jOKnD01A7juPkOW4IHMdx8hw3BI7jOHmOGwLHcZw8JysL04jI18Bx4Ei6ZUmQXmS/DpAbeuSCDpAbeuSCDpCZepyvqr2bXsxKQwAgIlUtVdrJJnJBB8gNPXJBB8gNPXJBB8guPXxpyHEcJ89xQ+A4jpPnZLMhmJduATqAXNABckOPXNABckOPXNABskiPrPUROI7jOB1DNj8ROI7jOB1A1hgCETlTRN4TkT3Ba6ulukWks4hsFZFlqZQxFmF0EJESEakUkU9F5J8icn86ZG2KiIwRkV0isldEmpUUFeOF4P3tInJlOuSMRQg9bgvk3y4i60WkxTxZ6SaWHlH9rhaRehGZkEr5whBGBxEZISKfBN+F1amWMQwh/qcKReQdEdkW6HFnOuRsE1XNigMoB2YG7ZnAM230/T3wZ2BZuuWOVwfgbODKoN1Yb4RPAAADQUlEQVQT2A1ckma5OwP7gAuBrsC2pjJhSQb/DghwDbAx3b/vduoxDCgK2jdnqx5R/f4BLAcmpFvudvwtzgD+BfQLzovTLXc79Xi04bsO9Aa+AbqmW/boI2ueCAhZ31hEzgPGAfNTJFc8xNRBVQ+p6pagfQz4FDg3ZRK2zFBgr6ruV9UfgNcxXaIpAyrU2ACcERQbyiRi6qGq61X12+B0A3BeimUMQ5i/B8DvgMW0UfApjYTRYTKwRFX/DVbYKsUyhiGMHgr0FBEBemCG4FRqxWybbDIEYesbPw88BPyYKsHiIK4azSLSH7gC2Jh0ydrmXOA/UecHaW6cwvRJN/HKeDf2lJNpxNRDRM4Ffg28nEK54iHM3+JnQJGIfBDUO/9tyqQLTxg9XgQGAjXADuB+Vc2o+SmhegQdTaL1kUXkl8BXqrpZREZ0pGxh6aAaz4hID+xu7gFV/a4jZEsAaeFa0+1mYfqkm9AyishIzBCUJlWi9hFGj+eBh1W13m5EM44wOnQBrsJqlnQHPhKRDaq6O9nCxUEYPW4CPgFGAT/F6ravzYDv9f/JKEOgiddHHg7cIiJjgW7A6SLyqqreniSRm9EBOiAip2FG4DVVXZIkUePhIFASdX4edncTb590E0pGERmELS3erFY8KdMIo8cQ4PXACPQCxorIKVV9OzUixiTs/9QRVT0OHBeRNViRq0wyBGH0uBN4Ws1JsFdEDgAXYxUbM4N0OynicMo8S2NHa3mM/iPIPGdxTB2wO4wK4Pl0yxslUxdgP3ABEYfYpU36jKOxs3hTuuVupx79gL3AsHTLm4geTfovIPOcxWH+FgOB94O+BVit85+nW/Z26PES8HjQ7gN8AfRKt+yNZEy3AHH8ws8K/in2BK9nBtfPAZa30D8TDUFMHbClCAW2Y4+TnwBjM0D2sdid2D5gVnBtOjA9aAvwp+D9HcCQdMvcTj3mA99G/e6r0i1ze/Ro0jfjDEFYHYA/YDuHdmLLpGmXux3/U+cAK4PvxU7g9nTL3PTwyGLHcZw8J5t2DTmO4zhJwA2B4zhOnuOGwHEcJ89xQ+A4jpPnuCFwHMfJc9wQOI7j5DluCBzHcfIcNwSO4zh5zv8AsJu3Dh9YGsYAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "b1 = Brownian()\n", "b2 = Brownian()\n", "\n", "x = b1.gen_normal(1000)\n", "y = b2.gen_normal(1000)\n", "\n", "plt.plot(x,y,c='b')\n", "xmax,xmin,ymax,ymin = x.max(),x.min(),y.max(),y.min()\n", "scale_factor = 1.25\n", "xmax,xmin,ymax,ymin = xmax*scale_factor,xmin*scale_factor,ymax*scale_factor,ymin*scale_factor\n", "plt.xlim(xmin,xmax)\n", "plt.ylim(ymin,ymax)\n", "plt.show()" ] } ], "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": "3.7.0" } }, "nbformat": 4, "nbformat_minor": 4 }