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@TheDataLeek
Created January 21, 2015 23:21
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Chaotic Dynamics HW2
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"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Will Farmer - Problem Set #2 - 20150127"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import sys\n",
"import numpy as np\n",
"import matplotlib as mp\n",
"import matplotlib.pyplot as plt\n",
"\n",
"%pylab inline"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 92
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**1. Write a program that displays $m$ iterates of the logistic equation on the axes $x_n$ versus $R$ (a \u201cbifurcation plot\u201d), but add an argument $l$ that allows the user to suppress the plotting of the first $l$ points (the transient). Turn in a bifurcation plot for the range $2.8 < R < 4$. Pick $l$, $m$, and the interval between $R$ values such that the details of the behavior are visible, but not such that the plot requires exorbitant amounts of CPU time.**\n",
"\n",
"We start by defining some globals. We define the \"height\" of the algorithm to be how many steps remain after we throw away the transient. We define the precision to be the interval between $R$ values, however it's used elsewhere too. We also define the number of values in our $R$ array based off of the precision."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"height = 500\n",
"precision = 2000\n",
"numvals = int(precision * (4 - 2.8) + 1)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 75
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We now extend our function from last time to allow for removing the transient."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def r_func(m, init, r, toss=0):\n",
" '''\n",
" Array-oriented method\n",
" '''\n",
" vals = np.zeros(m)\n",
" vals[0] = init\n",
" for i in range(1, m):\n",
" vals[i] = r * vals[i - 1] * (1 - vals[i - 1])\n",
" return vals[toss:]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 55
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We establish our $R$ values, pre-allocate memory for our data, and finally run the algorithm to generate our data."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"r_vals = np.arange(2.8, 4, 1 / precision)\n",
"data = np.zeros((numvals, height))\n",
"i = 0\n",
"for r in r_vals:\n",
" vals = r_func(1000, 0.2, r, height)\n",
" data[i] = vals\n",
" i += 1"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 64
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now that we have a populated array we iterate through and plot the points."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=(16,8))\n",
"ax = fig.add_axes([0.1, 0.1, 0.8, 0.8])\n",
"for i in range(numvals):\n",
" ax.scatter(np.zeros(height) + r_vals[i], data[i], s=0.1, alpha=0.2)\n",
"plt.title('Bifurcation Plot')\n",
"plt.xlabel(r'$R$ Values')\n",
"plt.ylabel(r'$x_n$ Value')\n",
"plt.xlim(2.7, 4.1)\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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HdrsNy7KQSqWQz+d3PH8kEoHP55OS7OEp4bFYDIZhoNvtwu/3S6CsNZtNBINBmKaJiYkJ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9np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nAwGCQajeL3+8UK3el0uHv3Ltvb2/LeYLhPffHiRdLpNMViUb4XZZVWjgkVbFapVLhw4QKz\ns7Ps7+9LJdbq6irBYBCTyUStVpNDJ5WMr/5d5HI5SYVXol9Nq2EYPqh20pV9vdFoiEskHA6ztLQk\nBxnq/ah9fXWfXL9+XVYFPB4P8XicTqeDxWKRa6K+A3VN1EHR/Py8OCi8Xq8IcNWLDuie6p+BnlRr\nNBqNRqPR/A/lueee47nnngPgC1/4An/6p39Ko9F40+PUNPbo6IhisXgiJOnUqVN0u12xd79VDY8S\nqKrzulAoMDIyAgynZRaLRYT34eGh7APncjmp3bLb7QSDQVKplISoFYtFEQ21Wg2z2Sy72I1GQ/ac\nJyYm6PV6jI+P0263yWQyOBwO5ufn6XQ6pNNpsUAvLCyInXZ3d1fedzAYpNFoYDKZiEQinD9/nmQy\nKYFwY2NjlMtl2RlXwmp0dFQmuZ1Oh0KhcGLvvNVqyfQfXg/UWltbk8mv2ok1m81iw11fX5cgtcXF\nRXw+H5OTk/J6ypoOw7qy46FX0WhUqqJSqRQWi0X2wWdnZ/H7/VQqFYrFovyMqgpTAl/1IcNQHDqd\nThYXF7FarZJUrva0HzZql7hSqdBut+X7CwQCJ1LmVQ2ZmuTb7Xbu379Pu91mZGSEUCiE1WqlXq/L\nznSn08Hn8zE/P0+73abb7XL16lWuXbsmr3/q1OuzycFggGEYFAoFYrGYhI+pQxCVRq8yAQBxdKiD\nGJUorhwXyrINrx9sqIMAJYCPHxSo583n83g8HqlXUzbwer2OyWTC4XBIYrrVaiWVSrG3t4fH46Fe\nr8uhiXp/KysrJ7rRNT8ZLao1Go1Go9FoNDzzzDM888wzALz//e/nu9/97psec7wS6I1/BsMJm7KP\nKpS1tlAoSCevw+HAbDZzdHRENptlZGSEkZER2u02h4eHsk+8u7uL2WzGZrNJQNqv//qvs7a2JhPp\nwWAgVvZisYjNZpO+YDUhVnZcZd/1+XwypVPVYCaTSfZhvV6vCNt2uy1iNJPJiDianZ0lGo2STCZF\n0KmfVxNHJarUfrPNZiMajZ7oE1Yocet2u+X9ApJ4rj6Py+XC5XIxMzNDOBwmnU6zt7fH4uIiMBTP\n6j37/X52d3e5du0aFouF6elp8vm8PJcKsFI7s4888gjnzp0jEomwsLBAMpmkVquRSCREeGezWXl9\nZfeGoTisVqvU63XZL06lUnQ6HZ588smHIqzVZ9/e3pbDjHq9/qZAtbt37xIIBHjPe94j96N6jN1u\nZ3t7W9LTVUjc2tqaWLBrtRpjY2MSXra0tMTS0hJ/+7d/e+L9qAm1CulrNpvEYjF6vZ5MvmOxGFeu\nXGFlZUXEspoid7tdpqamuH79uvSiq3tDdUirQ5NwOCw27kwmg81m4+LFi+zu7lKpVJifn5fVChUg\nZ7PZGB0dZWtrC8MwJKFffeZCoSDVasp1on6pwwCXyyViX/PWaFGt0Wg0Go1GoznBd77zHfn9O9/5\nTlZWVnjb2972pn3pN1Iul7l3796JP/vxj3/MV77yFbE3w3DyPT4+TrFY5OjoSAKTjot1GO532mw2\nrly5gtlsJhaLkc/nqVQqeDwesW8rMW0ymeh2u7TbbRFbSuCpHVW1u9xsNslms5RKJQzDYGRkBJfL\nJfVRgASVBQIBsa5PTEzILvNLL71EuVymXC7LoYDqfj5Os9kkHA6LPfmNUz9lrbVYLHg8Hmq1Glar\nFa/XK3VJqu5oMBjI9Pr9738/NptNbL+BQIBgMCiT23g8zurqKtVqlfPnz8uBwejoKIlEQg4d1JSz\nUqnI3u7GxgZ2u50zZ86IbdkwDGq1GoFAQHbr1YRXTc+PT1VVv/LDRB3SdDod2QfO5XInHBLxeJwz\nZ84wPT19Ypqrfr++vi5rBzCcGqsJbiKREJu8+twqOfxP/uRP+Id/+AeOjo7I5/NsbW2dSBWfmpqi\nUqlw//59HnnkEakc8/l8cphxXJyq718dTKnddbUHffyxNptNbOr1el32oEOhEOVyWcL9wuEw8/Pz\nciBQLpfJ5XKkUikJV4PXD1+OJ76PjY1x+/ZtqtWq7HUvLy+zsLCg079/BnqnWqPRaDQajUbzlrz8\n8svU63VqtRpHR0f82Z/9GadPnz4xHVQcHR3x/e9//8SffeYznzkhqBWDwQCLxcLExIT04I6MjNDv\n90mn0xwcHODxeKQb2OFwEI1G2d3d5dVXXyWdTosNXQlqtRNrNpsJBoNMTU1RrVZZX18nnU5jsVg4\nffo0lUqFe/fukc/nMQwDv9/P6Oio9B1vbW1JX7XFYmF7e1v6vC0WC+fPnxdLr8ViYWRkRKrAABYW\nFnC5XGLrhuEe7Rt3Wo8zOzvL/Pz8iSo0FeymfkaFj6nAMSWmQ6EQ9XpdEqSnp6eZmJjg/e9/P5OT\nk1gsFhG//X5fdpABEZYOh4PTp0+TSqVYW1sjk8mwtrYm39txl8LOzg7VapUHDx6wvb0thwHhcFis\n3zAU2Crk7mGRz+dP9E17vV7peYZhgJ1yGrRaLR555BFJMlfJ4BsbGzQaDalkC4fDEtLWarUwDENq\nuPx+P6urq1y/fp0PfehD/N3f/R3xeFzu01wuJ84IwzBIpVKyLuB2u2k2m9y+fftEv3mlUiEQCGC1\nWmk0GvLvAODmzZvs7+/LdVeOCr/fL33pyoZ///79E5Va6mBhf39fVhpWV1ep1Wq0Wi0KhYL8W1CW\ncxhW8BWLRXK5HC6Xi9nZWaampuRAyel0yr2t+cnoSbVGo9FoNBqN5ufmU5/6FJ/61KcA+NGPfsRH\nPvIREomECL5Wq8Xb3va2n/ocykIdCoUYGRmhVqthMpk4deqUiGO11+r3+zk4OGBtbY1+vy/W6Eaj\nQbvdZjAYYDKZxIJbq9VwuVw4HA4KhQKdTkd6q5X4hKElXIVpmUwm7Ha7pFV3u11u3Lghlmdl6263\n22SzWfkcjz/+OJlMhtdee41MJiPi6HilV7/fx+fzUSwW6fV6b1kzZbfb6Xa7PHjwQKbMsVhMdoSL\nxSKDwQC73c74+DgWi0USq9XUstlsSm90OBzm0UcfJZPJ8LnPfY5cLofD4aDdbovVWVWA1et12ae1\nWCz0ej2ZtqsqMxUOFo1GqVarrKys0G635aBBPT6fz4vNXaVtPyyazabUYilqtZqkoft8Pux2O3t7\ne3S7XZ588kng9R5rGAbNqWozFV63tLQkFmmVMG6z2SQ9vFAokM1m6Xa7fPCDH2RlZYWvf/3rkjGg\n3AmDwYDBYCBp4KVSiVarJdf7+OGCOmxZWlo6sQe+s7NDv9/n7W9/u+w5q0MDNU3O5XKMjo4yOTlJ\noVCQ9QM16bbb7aTTaZLJJIZhEI1GWVhYkMOEaDTKxYsXZcKvPp9KbYdhwJq6r8rlMhMTEydyADQn\n0aJao9FoNBqNRvN/xDve8Q4RcV/4whf46Ec/+nP93MHBAa1Wi6OjIw4PDzk4OGBkZER6qoPBIKVS\niUwm8yYrtUqlNgyDXC4n02I1Oe/1elSrVbrdLrOzs2LB3dnZkccuLS3h9XplHzqdTlOpVAiHw8zN\nzRGNRrlz5w7NZpPz589jGIYcHCwuLjI5OSnW5nq9Lnuwqv6q1+sRDodlGpnJZERQ7e/v8+ijj574\nTC6Xi+npaUKhkEzP4/E4W1tb0sXt9XpFHLpcrhMhaN1ul3q9jtVqJZfLUa1WWVpawul0Mjs7SyAQ\noNFoMBgMcDgcUikWCoVkcl2r1djc3GRsbAyPx8Pa2hrBYJDHHnsMm80mXdVqcprNZhkfH+fKlSsk\nk0mZmiuxn8/nuXDhAtPT0w/VNqzC3hYWFhgdHZXrZ7FYJNkb4N69eySTSR555BE2NjZEiAcCAZ58\n8knu3r2L1WrFZrOJNVpNpo/v09vtdiYnJ+X6AvzWb/0W2WyWV155hVKpdMKmD8OKLXWvqSmvEsvx\neJxkMgkMxWoikeD8+fPSXa3upV6vx/r6ukys+/0+i4uLMpm3Wq20221KpZKIY5vNJvvWSlCr/m2P\nx8PGxobsyKvXgGFHtdr3VsnnKv9A7Yc/bBv/rxpaVGs0Go1Go9FofmGOB539rEk1vC6OVOr04eEh\ngNQRdbtdTp06JcFJvV4Ph8PBYDCgWq3KHrTaN1b21FOnTtHr9XC5XFSrVZlsZzIZSQGHYfq1mqbe\nvn1bLLndbpdyuSwVXXfv3qVQKEgy9quvviqC8s6dO2QyGZaXl9nc3KRUKkkCusVioVwu02q1aLfb\neL1ems0miURCbLaK4xNM1fkMr+/cejwezGaz7F7n83kmJia4evUqMNxfVvZntXOrLOyql3lnZ4dy\nuUwkEsFkMolYe/TRR2WfXaVKq31bl8slQV/qeSuVivQ7u1wuEdtq8qqC1dQ13t3dlb7mh8H29jap\nVEpsyYFAQKaulUqF3d1dcR28sbe60+lw/fp1sXk3Gg2sVitbW1uSAn7v3j2psVLT7bm5Oc6dO3fi\nfTz11FNsb2+zvr4u+/hKELdaLfb39/H5fEQiEV555RVg6Gzo9XpyeOFyuWg2m2xtbeF2u+n1egQC\nASYnJ7l79y57e3tica/VapIyD7CzsyMJ5cqtoJwdKlBP1cD1ej0KhQKhUAiHw0Gr1WJjY0OuiTqU\nsFgs3Lx5U4LKcrkcyWSSpaUlOVjQ/GS0qNZoNBqNRqPRPFSOjo7k98rW/FYYhsHBwQGHh4c4nU5M\nJpMIab/fTygUYnd3F8MwyGQyYrE1DINWq4XFYpH0bjVFVdPtvb09zGYzMzMzIoqVaE+n01IrpUSg\nqkXy+XwS8lUoFOj3+zIlXl1dZWVlhUgkwvLyMjAUvTCcQtvtdhYXFyX5WokiFeRVr9fZ3d19U6XW\n7u4unU4Hq9XK3NwcgUCAxcVFAoEAX/va11hdXWVhYUGErxLi6XSafD7P/Py8VCsp27UShU888QT3\n79+nWq2yu7sr4VRer5fl5WWZSqrnrdVqeL1erFYrL730EuPj43g8HprNJu12G5vNhtPppFKpyERW\n/VJizmq1iqvgYeFyuaT7W4l9u93O+fPnefHFF2Vafu7cOSYnJ9nY2GBtbY0zZ85IgFs2m6Xf78t0\nNhaLEYvFJPyrXC7LJPnKlSvSXa7CuxR+v58rV66wtbVFvV6n2+3K/acOLAzDwGq1ijMhHo9z8+ZN\nADl8cbvdADIRVvdSIBDA5XIxNzeHzWZjdXWVnZ0dtre3xbav/l2p+jg1UY5EIszOzgKI4yIYDLKw\nsCB1aFarld3dXUmKV4ch6nqGQiFCoRDpdJqxsTG51zU/GS2qNRqNRqPRaDT/n3F8//WjH/0oX/nK\nV0R0KFQPdqfTka7gXq9Hr9fj4OBA0r3D4TA7Ozt0Oh1JIz916pTs0hqGIXunqVQKk8kkPdPHqVar\nlMtlUqkUMzMzbG9vS2p4LBYTcfre974XgG9/+9uk02nOnj3L0tISnU5HBAgM06TV5HF7e1vqktT0\nUokYq9XKxsYGW1tb8tww7Le+f/8+a2treL1ezp07Rzgc5oc//CGbm5ukUin5jgzDkIC2l1566U02\n8E6nw+OPP87Y2BjNZpPXXnsNm82G1+ulWq1ycHDA1NSUpDur6xONRvn+979PqVRiYmICl8slneXq\nIKJSqdBoNHC73VKf5XQ6RVCrAC1lT7bZbCIOHxaPP/44gAhKtSeurPdzc3OEw2GpmlJTdLvdzgsv\nvEA2m+Xs2bOEw2Gy2Sw7OzsyQU6n07hcLtLpNDs7O2KjDofD2Gy2E/buUqnEpUuX+NGPfsT+/j5r\na2vUajVmZmbw+XxUq1Xa7Tarq6uMjY0RCoX4xje+QbvdFoeE+t5isRg+n08+l1pLUI6Fvb09OQA4\nHhpns9nY39+n1+tx+fJlCeBTHdQwFOvBYJDFxUVu3rzJxsYGXq8Xp9MpOQGjo6PMzc3R7XZlv9rt\ndnPhwgX53nX6909Hi2qNRqPRaDQazf8VPv/5z/P5z38eGArs//W//pfYhmEoro9bdlutFqVSSURk\nLpej0+nQbrexWCwcHR1RKBSw2+3Mzc3x6quvsrW1JeFaatdaWcY7nY6EfSkb+P7+Ps1mk4ODA/r9\nPqlUips3b8p+baVSoVwuYzKZpI7r8uXLZLNZ9vf3cbvdhMNh3G43Pp9PXsNkMuH1eqXvt9frkclk\ncLlckrytyOVyEkampuy3b9+WpHPDMJibm2NyclKC0pQ9F5Ad73Q6LdZ5ZVdOpVKSZJ3L5Tg4OJCK\nsXq9TiqVku9KTUnV9w2v122p11FVTT6fj36/L6KwUChw7do1zGYz4XCYSCRCNBp96DvVTqdTKqPK\n5TKrq6uyG6wOUzqdDuVymVqtRjwelzqtZDIpXc8+n4/p6WlgeJij0tHVBD8YDMoOdb1eZ2lpienp\naXZ3d0WkRyIR/vAP/5Avf/nL7O/v0263sVqtmM1m2u22iNRUKsWTTz4pBwDqQMJkMrGwsEAqlaJe\nrzM6OioHQOrQZmtri3K5TLFYJJvNcuHCBXE5qFAxdTBSq9XkYENZupvNJvF4nEAgwP7+PoPBQA5C\n4vE49XqdyclJzp07R7vd5tatW2SzWXmOXq+n96l/DrSo1mg0Go1Go9H8X+e4wP7kJz/J5z73Odkh\nfiP9fp9yuSxp04ZhcHh4KAnWpVKJtbU1isWiVBtZLBZMJhN+v59+vy+T3mazKR3XSsD4fD5MJhMO\nh0MCm6LRKC+99BL37t2j2+1y9uxZqtWqpHp3u135mfe85z0S/qTSzNWkUE0k1d7y+fPn37SfWigU\n6Ha7hEIharUaN27cAGB8fBy3202j0SAej8u+tdrX9vv9J0LLotGoWJFXVlaAodAqFossLS3J9/Tv\n//7vjI+PMxgMJO3cZDJx+vRpJiYmTnwHx4nH4xiGwc7ODhaLhcXFRZrNpiRQDwYDzGYzkUiExcVF\nYHgw8rCmnOo54vE4DoeD73znOxSLRWKxmEySlQDsdrsn9tNXV1flQEB9X4uLi2QyGXK5HOFwmHK5\nzObmJh6Ph9HRURGtq6ur3Lp1S1YAUqmUHMwEAgE2Nzf55je/yWAwIJVKUa1W5ZqrfWsYVq1ZLBYK\nhYKk5av9ZXWgoXxDcQsAACAASURBVO4bl8vF5cuXpZMc4P79+5TLZZaXl1lfX+fBgwfMz8/T7XZZ\nXV0FhvVqjUZDXrPValEsFlldXcXhcFCv12X1AWB5eZmLFy/y/PPPs7a2xszMDOfOnSOVSpFMJpmc\nnBTnguat0T3VGo1Go9FoNJr/X3nuuefI5XIcHR3x93//9ywsLJyYliq63S6NRoODgwMMw6DdbuPz\n+STBWQmUSqUiNV2VSoVqtYrT6ZT9VRiKzWazicPhIBgMEgqFaLfbIiiDwSC5XI69vT2ZjI+OjmI2\nmykWiyJ6YGj/7vV6J3aPlcC6f/8+hmEwPj7O5OQk3W6XYrF44nPF43EikQjFYpGNjQ0JHfN4PJw+\nfVoSrdfW1mSiXK1WcblcLC8vi0h84okn+OAHP8jS0pJUTfV6PXZ2dkgkErz73e9mMBiQyWSkTqzb\n7cr0vlKpsL+/TyAQkP3hXq8n7yuTyRCLxYCT4WrhcJh4PM5TTz3Fb/7mbzI1NSXiXO0nPyyazSav\nvPIKd+/eBYYi0ufzMTc3xwc+8AGefPJJ6aNWlupyuUyhUCCfz9NoNNjZ2eHBgwcnVhPq9bqIW5/P\nJ/VmMAwqs1qtlEolmfp2Oh1KpRJbW1s8/fTTXLp0icPDQ4rFohzqqM7narXKiy++KAJZBe6ZTCb5\n/mZnZ6nVatTrdcrlsvRZj42NMT8/z/j4OJcvX5bKLBXA1263pRdbOSKOryacPn1aJttXrlxhampK\nEuJVMv3zzz/PtWvXuH//vnS9u91uEfrtdvuhdo3/KqIn1RqNRqPRaDSaXxqeffZZnn32WQCef/55\nPvOZz3Dt2jWZMiqOjo7o9XqUSiXsdjuNRoOjoyPpybZYLBwcHMj+qAr42t7eZm9vj8uXL8v0zePx\nkEgkSKfT1Go1CoUCP/jBDzCbzTIJzufz+Hw+HA4HPp9PbNqqikr93uVyYTKZGBsbY2NjA4Dp6WkR\nMzs7OycCr2A4TYTXQ8KULXljY4N+vw8gr9FsNgmHw2Jfv3nzJs1mk3Q6zY0bN2TnWwl3ZZVuNpv0\nej2i0SiJRIJqtcr4+LgIO4fDgdPppNVq4Xa7WVxcZH19XZKk2+028HqtlJryHxfg6gBD7fp2u13s\ndvtDm3Jms1m5TqomKhKJ0Ol0SKVS/PjHP6bT6ZBOp2XHWoXFGYaBw+HAZrOdOLBZWlri1q1bbG5u\nMjk5KQFfah98e3ubXq9HPB4/4TCoVCqShF6r1bh06RLr6+uyS+/z+ZiamgKGTgQVpGcYBmNjY/Id\nGoYh9m9AkusNw6BWq0ldmpr2ezweuU/9fr9UigWDQbF+K8eCx+M5EdLW6XSkKm10dBSbzUa326Xb\n7TI5OSnvK5/PMzU1RSAQYG1tja2tLc6ePaun1T8FLao1Go1Go9FoNL+UvPe975VAr69+9av87u/+\n7pse80axDUOhZzKZ6HQ6YvPudrvSt2wymXjkkUckcCqZTPLqq6+Sz+cJBoPSNT09PU2/32dtbY16\nvU6/36ff71OtVhkMBoyNjbGwsIDb7SaTydBut+n3+yLclPU3k8mwtrYmadxvRInq49NhGNp9a7Wa\nTF7VFF69R5vNxrVr10TwplIpEb3Ha5EsFguBQIBer8fVq1dJp9PkcjlCoZBM79vtttjJG40GlUqF\nXq9Hq9Wi3+/j8/kkEC4Wi0n6tqptymQyFAoFms2m7C0rm/bDsn/n83lKpZJYl5Vot9vtEjanhKI6\nRAHk+wNwu91yILG6usrq6irNZhOn00k2m5XvCuCRRx5he3ubYrFIPB6XQ4dOpyMJ6Wo3fWlpiXe9\n611sbm4yMjIihz3hcJjTp0/L+3c4HNKVnk6nJQSuVCoRDAallqtQKGC1WvH5fCK4DcMgEomQyWRk\nReDSpUvSbT46OipiWr2vl156ibm5Oebm5kin07JjrybZ6rXm5+cJBAJ873vfk2uvHhOPx7Wg/hlo\nUa3RaDQajUaj+aXn6aeflqquv/7rv+aLX/wi29vb0m99nMPDQ9m7VlbYSqWCx+Ph8PCQwWDA7du3\nKRaLDAYDsbb6fD5CoRAul0smtbVaTYSh3W4nGo2ytbVFs9lkdnZWhLDFYhFBlE6nabfbMkWtVqvS\n7Xzp0iURdYrR0VGZasfjcZmCm0wm2XdWdl+1Q97r9QiHw0xOTkplksfjkeR0JSRVH3EwGJTKpsnJ\nyRPhWKqiqdlsMj4+jtVqlb1wFY6mAtD29vZIpVKYzWYR6uvr6zJJn5ycJJFIyAHCgwcPHpooU99T\np9MhGo2STqclMd3n8xGLxQiFQty9e5dEIkGn0+H8+fMytff5fDKlVtVayo3gcrm4c+eOBJCtra3J\nz+zs7JDJZLh48aKI6nq9LgJWTaRnZ2dpt9uk02kJvisUCpKYDkhC/OjoqLgGgsEgvV6PV155hXg8\nzszMjAT42Ww2ufYAiURCErzPnDkj79HlcmGz2SR13WazcefOHer1ugT2AbIHb7FYqNVq4loApEfd\n6/USDodF2L/xftW8GS2qNRqNRqPRaDT/rfj4xz/Oxz/+cQA+/elP8zd/8zeSig2v9wSbzWZMJhOn\nTp2SiqNTp05hsVio1+skEglGRkZEEBcKBSqVCs1mk06nw71798jlcni9XsrlMpVKBa/XK6ne1WpV\npnnZbJbx8XECgQDdbpdmsymi2G6302q1ePXVVwHEYqxwuVwEAgEajYZYjTudDqdPn5awtYmJCZkK\nJxIJyuWyCC+LxUKpVKJUKkmNFwz3hAOBwIlO7G63y+XLl+UzAlI/5nA4CIfDsketJvaGYZDL5WSP\nWYlRFaClvmsYBl+pKamasD4s1ERfhZEpURiJRLhw4QKhUIhisUgul5PXTiaTIpB/7dd+TSbsMOya\nVuJcJXqbzWbpb3a5XMzPz+NyucQ9AMP7Sx3EeDweSRdXO8iZTIZWqyWVYy6XSwLnVBhfIpEgn89j\nNpvp9XpMTk6yvb3N5uam2MTVfr9K8a5UKvj9forFIqFQiMnJSe7evStp7rdv3xaHQKVSkSA/df0A\neT4Y3h+RSESm3+l0mm63KwciKqhNrQ/oafVbo0W1RqPRaDQajea/LR/72Mf42Mc+BsDv//7v8x//\n8R/Sr6zs2jCc+vb7fUwmk0ywi8WiWJo7nQ6tVovDw0OazSbf/va3uXfvHi6Xi3K5LH3ZKjlZBVDt\n7+8DQ8t5v99nY2NDdqOVnbff7+N0OoGhgN3e3j7xGVRVmBLNSjy1222ZsobDYZaWlsjlchQKBRFM\nKhEdhuJHBaIdr8pS+8+q+zsajXL+/Hk2NjbErhwMBkVs9Xo9LBYLqVSKe/fuAUgCtNvtxuVysbOz\nw/r6OrFYjGg0ysLCgqRtKzv2+vo6VqtVxPAvSqvVIhAIyM65qpryeDwymS+Xy3i9XqxWK71ej7W1\nNRKJhExyAZnIK/FfqVQwm82SWJ7NZpmdnRVRefXqVXl9p9OJzWYTC7rX6yUQCFAul6VOa3R0VIS6\n3+8X0aoOQdxut4TdqQOWWq3GmTNn5CBHoe6JbDZLqVRibGyMeDwu12p+fp4HDx6QSCTY29vD4/Hw\nrne9i0QiwfT0NB6Ph52dHe7cuYPD4WB8fJxkMimHIoZhSKI8IK6IVCpFoVAgHA7rSq2fA53+rdFo\nNBqNRqP5leBf/uVfqNfrfO973+P3fu/3CAaDIjgHgwH9fp9Op0Oj0aDT6YjAbrVaHBwcEAqFOHXq\nFMVikXw+L9NgNdEdGRkBhtPearVKv98nm81KsnQul6Pb7QLD6fFgMJCp3+joKDMzMxIMdpxWqyXi\nT/V0dzod1tfXaTQa2Gw2Wq0WL730EhsbG8zMzHDp0iWuXLnChQsXcDqdmM1mxsfHmZ6exu/3yyRV\nWXqtViuNRoNyuSw7wE6nUwS9ChRLpVJiLXe73Sdsy0tLSzz22GPEYjGxjAMnptK3bt0inU4zOzv7\npgnvL4o6mCgUCjidTnEKKNt1u90mEAhI2Jyqp2q1Wuzs7Eh6uprmq2AuZWW3Wq1YrVYWFhaYnJyU\n3Wp1/ZPJJK1Wi6tXr3Lp0iXq9Tr5fF6+v0gkwszMDO973/tYWlri8PCQTCYjhzyjo6MysY5EInJQ\nYbVaTxyemM3mE+8Jhoc2U1NTYt2+fPkyTqdT7i+LxcLp06e5cOGCHDY0Gg0KhYKEtC0sLHD16lX5\n3C6Xi36/L3v30WiUqakpHn/8cdxuN9ls9qG7DX5V0ZNqjUaj0Wg0Gs2vFMcDzu7du8df/MVf8PLL\nL8uk8ODggE6nw9HREYZhYDKZMAyDg4MDCRlTAV3ValXCsJrNJoFAQHZzR0dHqVQqMom12Ww0m01s\nNhuRSIQHDx6I3TidTuPxeDCZTDIxVTidTtLpNIVCgcXFRaLRKF/96ldpNpsinlXitdlsxu12E4lE\npNoJkLomtd9rGAbVahWfz0cgEGB2dpZer0culyMSieD1erHZbGKH93q95HI5CX47e/Ysly9fZmpq\nir29PRqNBqurq9jtdmZnZ6nX6yKY1VRY7Wgnk0m63S5LS0vY7XYRcb8oSkSWSiXa7bbsC9vtdjkA\nOS5EAYrFoljjG40G73znOymXy6ysrMgkV+2aqyqz45+hXq+LrX5+fl4SwDudjoSyKVFtt9t517ve\nJe9lZWWFRqNBKpXCYrEwOztLOBym0WiccFOo+1IdhLhcLiwWC263m16vRzqdxmKxEIlEaDQakhGg\nULZzxerqKjs7O5jNZplOz8/PSxK8ej1VCXfz5k0Mw5B9/nv37pHNZsVWrnuqfzZaVGs0Go1Go9Fo\nfmVZXl7m3/7t3wD4whe+wJe+9CXu3r1Ls9mUOiGFqoNyuVzSNW2xWCRwyjAMQqEQ1WqV1dVVpqen\nmZ6eJpfLiVAeDAaEw2EqlQoHBwfA0FLr8XhwuVyYzeYTr6lQ08T5+Xk6nQ4bGxsyXS8Wi8zMzBCN\nRikWi/R6PW7evCmd1el0Wt5zLpcjHo8zPT1No9EQi+9LL71Es9mUw4But8v4+Djr6+vs7u7icDiI\nRqMMBgNqtZrYvmOxmFQ1GYZxotvZMAyazSaRSIRsNovL5eKpp56SvmWVxJ3L5R6KKHO5XJIorvqv\nDcNga2tL7NgOh4PZ2VkJ6/qv//ovdnd3GRsbk2A1GIpZdRhQKpUkMVuhBK6qvAqHwwQCAYrFooj3\nxx9/nEqlwsTEBCsrKySTSebn5+W7vXLlCuvr61SrVRwOB5lMBrPZjM1mo1gsMjY2xunTp2VnWR0I\nlEolcrkchmEwMzMj7yOTycikPZlMynVTn6nZbFIulyVMDYYT7uXlZTqdDisrKwDS716pVLDZbMzN\nzZHP5/F6veTzeZLJJP1+Xyb16rvXvDVaVGs0Go1Go9Fo/kfwzDPP8MwzzwDDiq5Pf/rTvPbaazI1\nVBbiO3fuyLRaTXRVFVculxNhpTqjlaV3MBjIpNtkMmG328XOPTs7i8PhEMv0cZxOJ/F4XCqeVMe2\nYRgkk0kGgwH7+/vMzs7Kjq0Sg+vr63Q6HaampohEIhLA9thjj7G1tcW1a9fo9/vy2n6/X0T9lStX\nyGaz3L59m0ajIXVgg8GAbrfLzs6OiD0Y7gJXq1X29vZYW1uj3+/j9XpF1OXzeV588UXi8TiZTIa7\nd+/icrk4d+7cibC0XwQl+tLptIhRFf4VjUYJh8MybVe7ycFgkHg8zrlz5ygUCid6whuNBolEQia1\nZ86cwW63U6vVxAavPruqYIPhrrPD4cBut9Nut+l2uzIhV/3TFy5cYDAYyDVV95Hf72d5eRmLxUIm\nk5HvyGazsbW1hcViwe/3yzRa7YuXSiVSqRQOhwO/308qlWJ+fl7SwfP5vPRcq4n65OQkExMTUsHl\n8/nEYXHjxg2pEPN4POTzea5fvy7TacMw6PV6UtmmeWu0qNZoNBqNRqPR/I/j6aef5umnnwbgk5/8\nJF/5ylfIZDLUarUTIiKXy8netdVqlb9TqeKFQkHSu5W4g+GE/NatWxQKBZkA5vN5RkdH32T/VmII\nhkFbiUSCXC7HYDBgZGREArVeffVV6cUGZIre7XZJp9NEIhFJ706lUmxtbdHv95mYmMBischBQKFQ\nYHJyEr/fz1NPPcXu7i7NZhOHwyF91eFwGMMwKBQKYoteXFyUib3P52NjYwOHw8Hk5CSTk5Mkk0lS\nqRQ+nw8YTldjsRjxePyhXDOXy0W73aZcLpPP57FYLBJapsLY4PUdaCUk3/e+90kNmeqifs973iPT\n+Le//e3AMHSs0+lw584drFYri4uLBAIBIpEIiURCuqfv3LlDJpPB5/OJxR6QSjOr1UooFMJqtXL5\n8mW2traoVqu4XC4JxHM4HBiGIQJchdAdn06rDmt1/dVnczgcBINB6cFWBxa1Wk3s4TAU/t1uVybT\n1WpVQslUp7nH42Fvb49gMMjk5CQmkwmz2UwsFgOQe0ml22t+MlpUazQajUaj0Wj+R/Pcc8/x3HPP\nAfBHf/RHfPGLX5S/6/f7Mm0+OjqSgDKz2czh4SGpVAq/3y8iz2QySRhYq9VifHycYDBIs9kkmUxS\nq9VOiG9AEqz9fj/379/n9u3b9Pt95ufnCQQCtNttET+qEguGgt/hcBAKhWi322xubnLp0iWZFLvd\nbukYTiaTtNttEcuqaxuGQWOnTp2S8DGv14vFYqHVaomgNplMEpKlepJtNpukYcMwZGtnZ4fV1VUA\nmc4+LOuwSsCG1/eI1WHE6Ogofr9f9oWj0agEdane72AwKDb5TqcjBxCXLl3C4XCwsrLCtWvXyOfz\nzM7Oys66EunK9q32s202m4S09Xo9qZ3yeDx4vV6i0Sg+n48rV67w8ssvk06ncTqdjIyM4HQ6abVa\nUn0FMDY2Jpb0jY0NCV5Tqe2GYTA+Ps7CwgJjY2NMTEyI1Vt1XcPwMEPVrqmE8fPnz3P9+nXK5TJu\nt1vq3s6ePStd7mq67fF4RISn0+mHGjb3q4pO/9ZoNBqNRqPRaP5f/umf/omjoyM2Nzf5gz/4AxFk\nMJwcFotFarUarVZL+qjVbrFhGLTbbR48eMDt27clhVn1JEciEemUPo7D4ZDQrcFgwGAwwOl0cvHi\nRbFc9/t9fD4ftVpN9on7/b5MzlWK8/r6Ovfu3ROhd+/ePV544QVqtRozMzO85z3vIRQK0Ww2JWDt\nne98J4FAgNu3b5PL5UilUjSbTZxOJyaTCZ/Px6VLl3C5XOzv75PL5cjlcpw+fZrFxUVJQ79+/boE\ns6mqMbXr/DA4no7u8/mYmppicnKScDgsndXdbpdYLIbdbsdms3FwcECpVMLv9wPDaff4+DgPHjyQ\nTvByuUy73cZmsxEMBrlw4QIwDPza3t5mdXWVer1Ot9slGAzyvve9D7fbTa1Wkx1owzDEdq0m80qE\n//Ef/zHnzp3DZDLh9XpFvCrbOMCDBw/Erq4s3G8MMbNYLIyPj1MsFrHb7fI6drtdQtGWlpa4evUq\nCwsLuFwuqYQrFovMzc1ht9slhdxmsxGLxZiZmSESidDtdiW4bW9vj1u3blGpVJiamtJT6p+BnlRr\nNBqNRqPRaDRvYG5uji9/+csAbG1t8Zd/+Ze89NJLFItF2u22TPfq9TqdTge/30+/32cwGGAYBjab\nDbvdTqlUwmKxyLR5ampK7L2KUqnE7u4utVqNra0tut0uNpuNbDYLDIWpmmZ6vV6cTqckTMNQnHm9\nXglUO46aIodCIWKxGJlMRqzEY2NjxGIxUqkU169fxzAMJiYmMJlMYhP2+/04HA5JolY/F4/HmZmZ\nkSlqsVhkb28PgJmZGSYmJnC73SIgHwYOh0Os8pOTk9hsNtk9VhVaSjx/7nOfY21tDa/Xi8fjkaCv\nSCTC4uIinU6HarVKpVIhn89jtVoZGxtjamoKu93O+vo69XpdflZZtZUFXIW3eb1eedyZM2cAJKnd\narVit9sJBoM89dRT0lXt9XqlU/qRRx6h3W5z8+ZNxsbGWFpakh1pJaTr9br0ScNQrKvU+Xa7zerq\nKisrK/T7fWKxGLOzs1y+fJkXXnhBOtGr1SowFOxWqxWv1yt1czabTa7j8XtG1XrFYjFt//4ZaFGt\n0Wg0Go1Go9H8FI4L7M9+9rN8+tOfJplMcnR0BEClUqFWqxEKhTAMg1OnThEOh7Hb7fh8PprNJqlU\nikqlIpPf43Q6HdrtNj/4wQ+oVqtim+52u7JHvLOzg9Vq5fTp01gsFrGQK4u32olWfdhK6Mbjccxm\ns4gztXPbarUwDEP2s91uN6VSiU6ng9PplL9zOBw4nU5JElf72eFwmHq9zu7uLv1+XwSpEoDBYJCp\nqSnpln4YjI6OMjo6Kp99b29PbNEwtC3b7XZu3bol9V8qEEz98ng8sg+9tLTE6uqqhIXBUHSq11Hi\nUnVJq6l2LpcTm7bqvlb72PC6SFXXdn9/n263SyQSkbqrM2fOSHicz+fD5/NhGIb0Vav9fnUAo7q1\nC4UCFouFZDLJ/fv32d7e5tatWzidTlwuF4VCQQ5NDMPAbDZLKrjqoo5EIqRSKTY3N7l16xbvfe97\nTwSjqfT2c+fOAcOJvarm0vxktKjWaDQajUaj0Wh+Tp599lmeffZZAD760Y/y3e9+l3w+T7fbFbFn\nMplIJpOy91sulzEMg0ajIWFRH/nIR+Q57XY7+XyearXK4eEh0WiUmZkZsZnDUOjMzs5isVi4f/8+\ng8GAeDxOv99nf39fqrLUtBSGO9dqj9rlcskEtNFoyP606mg+f/48165dI5fL0el0xBbcbrelG7vX\n64mg7vV6vPzyywAitFV/t0q1zmQy2O12CYR7GESjUfx+P51OR4R+LBajXq+LNXxjY4N+v8/s7CwL\nCwsUi0V5jLLFKzv38Toqi8UCQLfbxefzYbfbyWQyWK1WGo0GlUqFaDTK7du3ZXe62WzSbrdP/PzM\nzAxWq1Um1YlEgl6vx9WrVwHY3t4mnU5TrVYZDAaEQiGi0SgWi0Vq0QBZPTgeVBYOh+X9lMtlSedW\nolqJ/WQyidlslsouwzCkn1x1bCuL+YMHD7h69SqBQIBUKsW1a9eo1WpEo1E5sJidnX1o1/BXES2q\nNRqNRqPRaDSa/wM+//nPA/ClL32Jr3zlK/zwhz+k0+lw6tQpmfapmqXjieJ37tw58TzpdJrbt2/T\n7XZlSjwYDKTn2uPx4HQ6CQaDElYWDofFVm42m2m32+zu7opNuFwuk0qlcLlcLC4usrOzI7vdhmHQ\n7/elA7vZbOL3+1laWuKVV16hXq9Tq9Ww2WwyHd3d3ZVprxJugPRaZ7NZ7HY7i4uLeDweyuUy/X7/\nhID7RVHPUalUZHd6dnaWTqcjKexWq5X9/X0RusViUWz6pVKJYDDI8vKyPI/X65W9Y/W5dnZ2RDSP\njY1hs9nY3NzE7XZz7tw5+bszZ84wNjbG9evXJRBN7XaHQiGuXLlCpVKhXq8TDofx+Xz0ej3y+byk\nb6tJtPp5ZbtXhwXKlq1C5ZSdXtXAnTlzhkQiAQwPBqxWK5OTkyKGR0dH8Xg8rKyskMlkTtSEeTwe\nRkdHMQyDO3fuiKXd7/djNpt57bXXsNlsXL58WWq9ND8ZLao1Go1Go9FoNJpfgI985CMyed7a2uKv\n/uqvuHbtGtVqVfqOj3O8/gngH//xH8X2q0K/1tfXpbpqdHSUZrNJv98Xi/Py8jJWq5VEIiEp0irg\nKpvNks1mJbH71q1b1Go1zGYzXq+XdrstKd8wFHQOh4MPf/jDwNDuW61WuXHjBtPT01gsFhGKLpeL\nTCYDQCAQYG9vT+zUau/barUSCARE4D8sUQ3DBO9OpyNT47e//e288sorGP8Pe3caG9d93//+Tc6c\nM2f2fSGHO0XStCVKTuzKdqIsdhM0MYIirZHbP9qgzb3/pmiRFHng3hYIWqS5eeAARnKBui3+yb0w\nWgfILQq0DZqlSWHXdRzFimxZokSNKHEZcjj7PnNm5sxG3gfs+VmM7SRNFK+/F2BAHA5n9ZPv+X5/\nn2+vJ3Z4F4tFBoPBkURu8ztoNpt0Oh0WFhaw2+1UKhXxd3A4VZDJZHA4HMzNzTEzM0M+n8fv9zM1\nNUW5XBap7J1OB7vdjsvlEknvqqpSq9WIxWJihN+8v91up1arEYlE2NnZEdMG5vcBHNkLnk6nqVQq\n4rurVqtiJVitVhPn5JeWlsRof7fbFQnxZnCbz+cT34dZeMNh6rv5/4E57WB2vBcXF8UFm4WFhVu2\nFu2tShbVkiRJkiRJknSLzM/P8/jjjwPwrW99iy9+8Yusr68fKa7NZGyAeDwuxpZv1mq12N/fF2PK\ng8GA7e1tnE4ng8GARCJBJBIRI8cmt9tNpVJhMBgAh0W6oii8853vJBKJiA66x+MRa5fMNVvVapX3\nv//9ZDIZ0uk07XabXC7H1NQUuq5Tq9U4deqU6Oy22206nQ4Wi4VgMIiiKKRSKXRdR9d16vU6Fy9e\nFHugbwWHwyHGsre2trDb7djtdrHnuVgsYrFYcDgc2Gw2arUavV4PVVVFYZ/P5wkEAiQSCTKZDOPj\n42Ivs81mE2u34LCbbbPZWF5eZmFhQZyPNs9P2+124vE4uq6Ty+UIBALMzMwcCS2Lx+NiB/jc3Byn\nTp0SQWhnz54FODKab74mVVXFJIHVamUwGIgi+dixY6LQHRsbAw4D7yqVCh6Ph8XFRbEebHl5mTvu\nuAPDMLh06RLlcpmxsTECgQCpVIpSqYTD4TgS+uZ2u5mbmyOXy4mQM+nVyaJakiRJkiRJkn4JHnzw\nQR588EF0XefTn/40//Zv/yYSvUdGRl7xb+x2O1arlX6/z/7+Pvv7+7RaLbxer0i4rtVqFAoFFhcX\nCYVCYp2WYRgibdztdotdytPT0ywtLYk1U8lkUnRwzTHhTCbDpUuXOHnyJA6Hg3PnzgFw5513Yrfb\nGQwGYqQ6EAiIzqrFYmE4HJLP55mYmEBRFJLJJIqiEI/HiUQi4lz4L+rKlSuicDRHtM0E9Hg8Tj6f\n57nnnkPXr743mwAAIABJREFUdcLhML/yK79Cr9djY2MDOBx3djgcqKoqzjWb4+zmqL7X6xVj4NFo\nVCSBm6PwDoeDUqnEhQsXgMPxa03TREc+FAoxMzMjuunmeXvzgor5+Pfddx+JRIJ8Pi9Wl5lBYYZh\n0Gq1cLlcjI+Pi33RmqYRCoVQFIXZ2VlxXtwc/775wsGlS5eAw4sQ3W6XF198kWAwKApwM7BOURRx\nAcb8236/L1LCA4EAmqbdsu/wrUoW1ZIkSZIkSZL0S+RyuUT3+s/+7M/44he/+Kr3Nc9kD4dDDMPA\narVSKBTodDr4fD4REgaH55nX1tao1+tiNNwMzGo2m+Lsdbfb5ezZs2KEe29vD7fbza/+6q9Sr9dZ\nW1sTnehEIsHtt9/Of/zHfwCHRXOxWBShY2Zn3O/343Q6qdVqYszd7XajKAoOh0MUr+aKq1uh3W6L\ndVVmYJo5gt3pdCiVSmxubtJoNPB6vfR6vSPhcea59lQqRS6Xw+VyEY/HRVp3o9EQY/ihUEh0s5vN\nJqdOncLpdBKNRnE6nfzwhz8UY9SFQgGPx8PKyoronKfTaQzDEGnl5XKZ2dlZ/H4/mqZx7733cuHC\nBb761a+Kz7NYLDI9PS06xuZIts/no9FoEIvFOHHihAhbK5VKYge12+1GVVUqlYq4QGDutb75c1he\nXiaVSnH16lXsdjvhcJipqSmxNiwYDIqUdJvNRiQSYXx8/JamuL8VyaJakiRJkiRJkl4jjzzyCI88\n8gjwyt3qfr9PrVbDZrMxMjIiOsS9Xo/hcHhk/dO5c+fweDwsLCwwGAxEUbi4uEi9XqdSqeDz+Uil\nUqLLPBgMCAQCOBwONjc36fV6RKNRkdptrm762Mc+xsWLF8X4tMvlwu/3i3O5cHixYHp6mm63i9Pp\nFGe0zTPCvV6P559/Hjgci/9F3X777XQ6HQqFAr1ej2KxKHZFZ7NZ8vk8qqoyOjqKxWIhmUyKTrDZ\n9TV3O4fDYYLBoFibNTMzQzabJZ1Oi9VWZnjZXXfdxeTkpOgeX7t2jWazKXZamynvZhCYzWZjbm4O\nu91OtVoVKeVjY2NUq1VxocG8OFIulykWi2LN1/Xr18nn80SjUeAwWM5qteJyuURB3e12RZdeVVXx\nvLFYDF3XxfcUCATEajQ47ILruk4sFmNxcRGbzYamaeJ4QjabFdMLlUqFWCzG+Pj4L/zdvdXJolqS\nJEmSJEmSXgfmnutcLsdHPvIRLl68KEZxzYLLLHAODg5etvbJLG4DgQCKogCgKAp7e3v0ej0sFos4\nM7uyssLS0pJ4jO3tbUql0pHgssXFRbH2aXt7m4sXL2IYBsFgkPHxcRYXF9F1nWKxKJ4PDkea3W63\nGCc3A67MzqkZbPaLunr1KltbW0QiEVFEer1e0YW9cuWKSNE2x5yj0ahYDTU2NnYkZM0sKGu1Gtls\nVuxvTqfTIiHbDPkyx6k/+tGPYrfbRbhZOp0GDsPRzJF6j8cjxr9TqRSqqrKwsMDExIQ4i51OpymX\ny5w6dYrnnnuO7e1t3vWudwGwsbFBs9nktttuEwnmcHi+29yJ7vV6OX36NJVKhfX1deBw1PvYsWPY\nbDay2SyqqooOdCAQYH5+Xpx5N99/t9slnU6LlWmZTAbDMESyfKVSoVKpkEwm5Z7qn0AW1ZIkSZIk\nSZL0OorFYpw/fx6Ap556ij/4gz8Q54DhpbRwu93OyMgIjUaD0dFRHA4Ho6OjbGxsiLPLjUZDpEMH\ng0E8Ho84o3tzwWsGZ/X7fbGeCQ53KGuaxvLyMteuXePSpUsUi0XxezN0rFar4XK52N3dpVKp4Ha7\nRUK5w+EQYV8ul4s77rjjlnxO6XSaYrHIwsKCWHdljmib4+twuMs5HA6ztLSEpmmiM2zuzjYvCHS7\nXfE3N3dpzd8bhsH4+DjpdJobN26wsLCArut0Oh2i0SiGYVCv18UYeK/XY3JykhMnTrC3t4emaWIP\n+MLCAg6Hg4WFBcrlMnC4z3p5eZm9vT0SiQTnz58Xqe/T09MUCgXRjTbH1x0Oh7iYYn4P1WqVwWCA\n1WrF6XTyvve9j6WlJQDW19fJZrNiD3UikaDf74uLI2ba+fj4uJhgUBRFXMwBuHHjBna7/ZZ8h29V\nb7iiemRk5NeA/xuwAP/PwcHBF3/s978N/J/ACNAE/vDg4GD1NX+hkiRJkiRJknSL3X///dy4cQOA\nT3ziE3z961+n2+1isVjodDpHUqfN4LFer0e5XBbdabOYA9A0jWq1yvXr10WoWDAYJBaLieLa5/NR\nLBbZ3t5me3ub2dlZ7rrrLm677TYSiQTVahVVVXE4HKyurtLpdCiXyzgcDqxWq0gOVxRFFKSFQoF2\nu83x48eZnp6+JZ+NmdCdz+dZW1uj0WiwsrKCy+Xi4sWLWK1Wjh07RiQSoVariYsBhUJBhJGZxb6u\n61QqFXZ2dpienhZnn10ul7hPoVAQY+tmYXz16lUSicSRFV1m998cyzfPbpsFu6ZpYuTcHCuv1Wpo\nmsb8/DwPPPAAW1tbFAoF9vf38fl8BINByuWySPs2z8cHAgFxMWRra4uxsTER0haNRsWI+YkTJyiX\ny9hsNpESnslkxNSBuVM7l8uJ78xc4WZ2uNvtNq1Wi0AgwMTExC35Dt+qRl/vF3CzkZERC/AY8GvA\n7cD/GBkZWf6xu20B7zk4OFgB/i/gK6/tq5QkSZIkSZKkX77HH38cwzDIZrP81m/91pFdz51Oh0ql\nQqFQEKuxzI6smSLd6XSOjF67XC6CwSC1Wk0kRsNh8dfv91EURZyFNp04cQKn0ykKRXO/snlm2ev1\n4nK5KJVKotgzR9QzmQy5XO6WJUc7HA4CgQClUolyuUwqlSKZTLKwsCDOjA+HQ2q1Go1Gg62tLXK5\nHOVymUwmg8fjIR6Pi6Ru83V1u100TSMSiRw5Mw6He8d3d3fpdruUy2VCoRBer1eca775fLnb7cYw\nDNbW1sRqKvOx4XBEPJ1Ok8/n2d7eFp3oD3/4w/zmb/4mLpeLwWAgvsfBYICmaTgcDjFeDy9dXCgW\ni0xMTOD3+7FarUxOThKJRDAMg2effZZvfOMbIrRsbW2NVCol3pff7xdhZl6vF1VV2dvbE8W9y+Vi\nbm4Op9PJ5OQk99xzzy35Dt+q3mid6l8BNg4ODpIAIyMj/x/w60DCvMPBwcEPb7r/OUBeNpEkSZIk\nSZLesmKxGF/72tcAePTRR/nyl79MNpvl4OCAdrtNu90WadEWiwW3283+/j5WqxVVVfH5fFgsFjEi\nbP5nFpHmqPnMzAzpdJpkMkkwGCQYDIoueC6XI51OixCwYDAoQtSs1sOSYjAYoCgKu7u7lMtlLBbL\ny/Zo/yLC4TCXL18WQVuxWAyv18u5c+eo1+tYrVb8fr/Y+WyehwbEuHg+nxePF41GxWh6rVaj2+2K\nLq2u6wSDQeCl9VOVSoX3vve9ACKhGxAp2alUShSxPp+PhYUFdnd3gcMLAmbnGThy9npvb4/f+Z3f\n4fr166ytrWEYhhjRdrlc4mKC2+2mXC6L1zU5OSlS1j0eD+FwWLyuCxcuUC6XicViFItFer0eoVBI\ndOzX19cpl8vs7u4SDAaZnZ2lUCiIlW/Ly8ssLS0dufgivbo3WlEdB1I3/bwHnP4J9/8/gG//Ul+R\nJEmSJEmSJL1BPPzwwzz88MPkcjm+8IUv8N3vfpdsNkur1RJdU/MMtsPhIBKJoKoqmqZhGAalUolY\nLEY0GmVjY0OkO2cyGTHCDZBIJGg0GgDccccd2Gw2EokEqqqK87VmwToYDFBVFavVSr1exzAMhsMh\n4+PjnD59mrm5uVv2/lOpFC6XS4xlb25u8v3vf1+cZ56ZmRGdaDM4zSzs19bWAMRtZtiYOW4fDoeZ\nnJxkc3OTUqlEIBAQyd6mfD4vgsPM3dXb29skEgkcDodI1IbDEX2bzYZhGLTbbSYnJ5mcnOT69etU\nq1XGx8cJBoNcvnyZ9fV13vGOd9BqtajX66IYN7vcJvOcPCBSuc10b03T6HQ6JBIJ/H4/k5OT5HI5\n2u02y8vLIk3c5/NRq9XY2NhA13WsVivb29v4fD4mJibEc9jtdjE6bn6e0it7Q41/Awc/6x1HRkbe\nD/zvwJ/+8l6OJEmSJEmSJL3xxGIxHnvsMW7cuMHZs2dZWVkRRa6p3W6LLmuj0WA4HAKHBZLZFc3l\nckd2EZvBWOYZWrOzeurUKbrdLtVqFbvdLjrdjUaDbDZLp9MRe653dnYIBAK8853vZGFh4ZYVY9eu\nXUPXdTFmXa/X+dGPfkStVmN0dBRN01BVlR/96EdsbW2JYlrXddbW1rh69SqVSgVVVVFVlUajwe7u\nLrlcjkqlQrfbFavIHA4HoVBIpHqbisUim5ubJJNJbty4IS48KIrC4uIiy8vL+Hw+cX+zwN7c3OR7\n3/sepVIJu92OYRhsbW1x48YNcQY+FAoRDAbRdZ18Po/VamUwGJBMJlldXSWbzTI1NcXc3BzNZpOt\nrS0uXbokgs/q9Tp2u12c8Z6cnBRj3EtLS9jtdmq1Gvl8Hp/Px+TkJD6fD4fDQbVaxeVy8Z73vAdF\nUdje3iaTyZBMJqlWq0c+A+nl3mid6jQwedPPkxx2q48YGRlZAb4K/NrBwUH1lR7oc5/7nPj3+973\nPt73vvfdytcpSZIkSZIkSW8IKysrYuXTj+++LpfLlMtlNE0jFArhcrkol8tiddfOzg5ra2uoqso9\n99zDYDCg0+mI8ed2u00ymcRqtWKz2Wi1WiJtezAYiJ3RAMPhkP39ffb399F1nXK5zOXLl5mZmbkl\n65jMvc8XL15kfHwch8NBrVbD4XCIHdnFYlGMxG9tbeHz+ej1eqTTaTGmfnP32mazEQgEyOfzJJNJ\nAoGASDD3er1kMhngsCtst9tpt9tH9kxHIhE8Hg/BYJBoNCqC5F588UWxyqrX6+F2uwHERQvzTPXy\n8jIPPPAA8Xiczc1NTp06JcbtzdfbarUYDodix7j5Hubm5rh48SLpdFqc8zZdv35drNMCxMqwsbEx\nkskkhmEc6WQfO3YMj8cjVq2ZF0Jufsy3o6effpqnn376p97vjVZUPw8sjIyMzAAZ4H8D/sfNdxgZ\nGZkC/gn4nYODg40ffwDTzUW1JEmSJEmSJL0dmLuvV1dX+dSnPsWFCxdot9sYhsHe3p7o0iqKIjqX\nzWYTm83Gzs4OmqZRLpfFyizzPC5AJBKh3W6LrrR5nnpiYkIUcBaLBThcAZVOpwkGg7csqGxzc5N8\nPi8uCJw7d45MJiNWa01MTFAqleh0OqITrSiKOGft8/lEsWiOjycSCTE6bu5kNmmaJkbj4bCodzgc\n4oxzKpWiUCiI1V2GYWAYhuiY93o9PB6P6GZ7PB6y2axIJff5fHg8HrHebHx8nBMnTgDwzW9+k+3t\nbdxutxjBzufzXLlyBa/Xi9/vF2erO50ODoeDZrPJ888/T7/fF/u7zeA5c093p9PBZrPh9/vJZrP0\n+33a7bY4B76xsYHdbmd5+TAr+tSpU6Lj/Xb0483Zv/zLv3zF+72hiuqDg4PByMjIp4DvcrhS6/89\nODhIjIyM/MF//f5/AX8B+IG//a8rcf2Dg4Nfeb1esyRJkiRJkiS90aysrPDMM88A8Fd/9Vc8+uij\nYg+zWSTruo7NZhNrtQaDAYPBQHRy6/U6vV4Pl8uFxWIR65YymYwobAG8Xi+VSgWLxSKCsVwuF51O\n58i+7V+UGUZ21113USgUyGQy6LrO/v4+drtdnBm2WCxi5Vi/3wcOi0Ov18vZs2ep1+uEQiFRrLZa\nLZaWlrDZbDSbTcbGxuh2uxiGIR4zmUzS7XZZWloSAWWASFc3V3KZQWJm0W4YBh6Ph263SzqdFn8X\nDAax2WxomibOWGuaRjAYZGVlhVwux9mzZykWi/h8PjRNE+nmZlf+/PnzR7rk5ncajUZxu90kEgni\n8Tjj4+N0u13sdjurq6tUKpUjZ7UVRWFtbY1kMondbkdRFHFxwFzD9XYtqn9Wb6iiGuDg4OA7wHd+\n7Lb/ddO//yfwP1/r1yVJkiRJkiRJb0af/vSn+fSnP81TTz3Fww8/zOXLl9nf32cwGIiUabOgNs8A\nD4dDLBYLXq+XUCjEYDDA4/Fw++23c/bsWbGr2eFwoOu6GBnvdDqEw2GsViupVIrBYHDLOtXvfve7\nWVtbI51Os7q6Sr/fx+PxiF3d169fF3uZHQ4HiqLgdDoBaDQaZDIZ0YU3Q8sAnE4nmqahaRrNZlOM\nPBcKBSKRCDMzM2QyGXF7KpUSadq9Xo9ut0sqlaJSqYj3+uMd6mg0it1uF+PhgChczX/X63Xi8Th2\nu50zZ86wt7fH5cuXxdSA3W7H4/HgdDrF887MzKAoCpVKhVgsxtjYGIDoPPd6PZLJpLjdZK7Xikaj\n4j4As7OzXL9+ne3tbe677z6q1apYVyYL61f3hiuqJUmSJEmSJEm69e6//34uXLgAwBNPPMHjjz/O\nCy+8QKPRoFKpUK/Xxc5jh8PB6OgojUaD+fl52u02u7u7FAoFQqEQk5OTpNNpDMMQI+K1Wk2cq85m\ns+i6zuTkpChsf1GXL1+m3W6zs7NDNptldHSUY8eO0ev1GA6HorA3ORwOkQCey+VQVZXTp0+zs7PD\n3t5hbFO/3xehbIA4+2wW0OaKKpfLxcLCAhMTE2L8vdFooKoq4XCYYrFIIBDg5MmTolg2A8vy+Tx2\nu513v/vdongNh8Ncu3aNRCKB1+tF0zTxnJOTk9jtdjFSbp6HnpiYYGpqSrzWmZkZ7Ha7GDU3L4iU\ny2VmZ2c5efIkly5dotfr0Ww2efLJJ6lWqyIZPJVKib8dDAZixVg+n6fX61GtVikUCvj9fllU/xSy\nqJYkSZIkSZKkt5mPf/zjfPzjH2dzc5Pf//3fZ3V1lXa7Ta1WY2RkhH6/j8ViYXR0lHw+Lwpocw1V\nLBaj0+mQSqXY398X+5KtViuNRoNOpyOSqM+ePSvGoX8RiUSCbDbLzs4O3W5XdIoBQqEQVqtVrIgq\nlUpYrVbm5uZwu91HVmiZYWRml1bXdXE2+vTp06RSKb7+9a/j8/mYmpqiUCgALyWhx+NxAoEAiUSC\n1dVVUqmUWDvm9/ux2+1sbW2J4trsWL/wwgtUKhU+8IEP4HK5uHbtmiiyzQAy81y33W7nox/9KJcv\nXyaTyYgkd3OdmdfrJRAIsLm5Kf6+2WzidrtxuVw0Gg00TcPlcom095sLY7/fj6Zp5PN5UqkUhmHg\ndru5ceMG/X6fsbExUdAD3Hnnnb/w9/dWJotqSZIkSZIkSXqbmp+f56mnngLgk5/8JP/+7/+Oruti\nFzMcBoKNjIxgsViYn5+nXq9TKpXw+/2kUik6nQ6apuHxeGi328BhCrnVasVqtVKr1W7Ja00mk7zw\nwgu0220cDgdwONYdCoVEIremaSiKQrFYZDAYoOu66F6XSiX29vZot9soioLb7aZcLosuc7VaFWuv\nKpUK/X6f3d3dI7uqzedNp9M0Gg2q1SqdTkd0m82fu92u+AzdbrcotAGx2qtarRIIBKhUKqKTvrq6\nis1mw+Px4PP5eP/7388///M/o+s6jUaDvb09otEo9XqddDpNKpXixRdfBA7PaZ8+fVrszjYvPJjj\n/X6/n3g8jqqqJJNJ0dm+Oc38ypUr1Go1kWp+8uTJl+3Kll5OFtWSJEmSJEmSJPGVr3wFgOeee457\n770XOCyOzURsm83G+fPn8fl8ogs7Pz/P5uYm+/v79Ho9KpUKhmGIEC63283dd999S17fk08+KQpi\ni8WCYRi4XC4qlYoISzOTv91uNysrK+ICgZmYbSZtV6tVzp07h67r+Hw+bDYb9Xqd69evi5HwdrtN\nIpHA5/MxMzPD3NwcpVJJnOt2u91EIhEymQyXLl0iEAgwOTlJIBDAbrczMzNDtVrFMAxx4QEQ3WU4\nHPVeWFhgd3eXbrcrCt3t7W1UVWVxcZE777yTS5cuoWnakdVhu7u72Gw2nE4nrVbryOfucrnweDx4\nvV7GxsZwuVy43W5xBt1kju6Xy2U2NzfRNI1wOIzL5aLb7dLtdvH7/bdshP+tavT1fgGSJEmSJEmS\nJL1x3HPPPRwcHHBwcMBnPvMZpqam8Pv9ovu6vb1Nq9VC13VUVWVsbIz9/X1yuRzdbpf9/X36/T6N\nRoOLFy9SLpd/4ddkjjQDYmd2KBQiEAiIkeZOp8NwOAQOO9YzMzO4XC7Gx8dRFIVCoYDL5RLdZl3X\nRdhat9ul0WgQi8W44447xB5rM+wrk8nQ6XTodDqiO760tISiKFitVjFmXSgU6HQ6IiF8fHxcrLKq\n1+tomiY6w4DoHkciEcLhMFNTU6KwNsPXjh8/TjgcFu/L6/WKovfee+/l+PHjTExM4HK5OH/+PP/5\nn/9JLpcjk8mQSCRoNpviObrdrjg7b76OVqtFrVaj1+vh9/uZnZ1lcnISr9crPnN5nvonk51qSZIk\nSZIkSZJe0Ze+9CW+9KUv8a1vfYs//uM/plAoMDIyQrfbpVAoiALN6XSSz+c5ODjAarWKNPFKpSL2\nPP+85ufnjySIHxwc4PP5GBsbE3uyzQTs4XDI2NgYwWDwyAh7v9+nUCigKIq4fzQaJZ/PA4gLBPBS\nUriiKJw+fZparUaxWKTT6TAxMcHS0pJ4XPOCgXlmvFAoiHPSJrNbbbPZqNVqGIZBoVAQxXM2mxVd\narPDPTMzQzKZJJlMoqoqdrudYrFIMplkYmKCcrlMpVLh9ttv5+mnn6bf7zMYDMjn8yL5GxDj5eZ5\narfbjc1mEyu8zGRyRVHo9/s4nU7xOdTrdXRdp1qtks/nZWH9E8iiWpIkSZIkSZKkn+jBBx/kwQcf\nBODRRx/l29/+Ntvb22SzWcrlMj6fD6fTKc7vmnq9ngj4+nl89atfFWeRAex2Ow6Hg8FgQLlc5rbb\nbqPT6YhALbvdTqFQQNf1IwWi3+8X573vuOMOPvjBD1KpVDh79qzY3W3u54bDZO1eryfOVJtj3fDS\nbuput0u5XKbT6bC5uckdd9zBzs4OgUCAM2fOcPHiRer1uihyA4EA586do9fr4Xa7iUajGIZBo9Gg\n2+0SDofFyq2FhQWxe7tWqzE2NkYymaRYLAKIHeLPPvssW1tbYre02anP5/MYhiH2jXc6HTweD8vL\ny+JiQiqVEh1/VVWpVCqiYz05OSmK783NTU6fPv1zf4dvB7KoliRJkiRJkiTpZ/bwww/z8MMP89xz\nz/FHf/RHbG5uMjo6eqSYNjUaDba3t3+u5zl58iSrq6tHbjNTxa1WK16vl2q1yo0bN4DDQtTlcrG2\ntsZwOBTJ4OZodjgcRlVV0Z1eW1vj2rVrDAYDrFYrbrebpaUlUdBms1lRxGqaJpK5i8Ui4XAYr9fL\nxMQE1WpVFONweCGh0+mws7NDv9/nHe94B7VajXw+z+TkpFiVFY/HxVh4uVwW56EBsfKrVqvR7XY5\nffo05XKZjY0NqtUqk5OTLC4u8vTTT7OxscH09DSDwYDhcEi328VisYi/dzgcFItFDMMQAWQ2m43n\nn38egJWVFfL5PE6nE5/PR6vVol6vA6AoCvF4nLm5uZ/rO3y7kEW1JEmSJEmSJEn/bffccw8XLlwg\nl8vxN3/zN3zjG98glUqJ88SmJ5988r/92JOTk6KwvJmqqgwGAxwOBysrK5w9exY47ES3Wi1KpRK9\nXk+snioWi7RaLdLpNDMzM4yNjdHtdsnn82xvb4ugMqvViqIo6LrO2toa8XicbrdLr9cTSd9TU1PY\n7fYj55sVRUHTNBYWFojH4/z6r/86mUyG9fV1MS6taRqFQoFut0s0GhXFdKVSIZlM0mg0uPPOOwkE\nAqLrns1m0TRNBInpus6dd95Jr9ejVCoxHA5pNBq0Wi0sFgudTgeXy8XMzAylUomZmRnGx8fJZDJi\n9NswDJLJpCjKo9Go+Ez7/b7o1DudTi5evMj29jYWi4XFxUU5+v1TyKJakiRJkiRJkqSfWywW4/Of\n/zyf//zneeKJJ3jiiSfY3NwUY9urq6uMjIxwcHDwMz3eyMjIK95upnr3+31qtZroYs/OzjI+Ps7u\n7i4WiwW/34/L5UJVVZrNJtlslk6nw8zMDAA7OzssLi6iKAoul4tTp04BiBHwSqUiOs/mjm6Xy0Uk\nEhFd7EQiwY0bNygUChiGIbrf8XhcPEcgECAUCmEYBh6Ph7GxMQKBAD/84Q9pNpvcdddd2Gw2cdba\n7LibHXazGNZ1nd3dXY4dO8bp06c5d+6cOCftdDrp9XrUajWmpqZYXFwkl8tx5coVxsfHGR8f55ln\nniEYDBKNRtnb2xPnz48dO8apU6fodDpcvHiRjY0NxsfHxT7vYDD43/r/4O1Mpn9LkiRJkiRJknRL\nfPzjH+d73/sely5d4gtf+MKR342MjLxqwWz+7tV+DzAYDOj3++L8sNnFHQwGtNttrFYrfr+fiYkJ\nkQrudruxWq1irRQcXgQAiEQiR8aa4/E4y8vLLC4uimI3Go2KjnS9Xufy5ctkMhkajQY2m00U6mtr\na9RqNdLpNIVCQTxmt9sVO6Nv7kTn83nsdjvvfe97uffee+l2u+RyOWw2G3fccYfYJw0c6byPjY2J\ntPVer0er1RIJ3YqiiHA2czzeZrOJot/tdouUcPOCg5lobj6PYRi0220mJiZ4z3vew9TUlFjjJb06\n2amWJEmSJEmSJOmWcrlcfPazn+Wzn/3sywrlm38+ODj4iYX0zfb392m1WjidTg4ODjAMA7/fj67r\n6LqO3W6n2+1SrVYZDAYoikI2myUUCrG4uMjq6iqBQIBIJCK6wHA4ap5KpVhfXycQCIgzx3/yJ38C\nwMc+9jFmZ2fxer1iP7fH4yGTyVCv13G5XESjUXF+PBgMisLcPJPd7XbFyDdAu93mySef5IEHHqDT\n6dDtdllcXGRmZkbsuTbDzb7zne9QLBZRFIVgMEgwGKTdbvN3f/d37O/v43A4CIVCYnzdHGmv1+t0\nu12KI4lVAAAgAElEQVTi8Tj1ep1z587h8XhwOBzigoNZUN9+++14PB4ajQbtdptKpSI69zfvtZZe\nmSyqJUmSJEmSJEn6pTHHvl+peP7x235akT0cDun3+1ith2WM3W5nOByKYLLhcEi1WqXT6aBpGpqm\n4XA40HUdOCxmk8kk4+PjpFIpER4WDofZ2toSheTN57n7/T5wuHPabrdTqVQwDIN0Ok21WmVxcZFQ\nKMT169dFd9nr9Yoz0eYYdafTIR6Pi2RxgEQiIc6Bu1wucUZ8dnaWRqNBPp8X91UUBZvNhtPpxOVy\nidfo8XiYmJig3++TTCbFmq9kMikKfnP0u9/vi041HI63ZzIZer0ejUaDwWCA3W6nVCoRCAQIBALU\najVyuZzo8EsvJ4tqSZIkSZIkSZJ+6W4+U/2TCueDgwNmZ2dftu/ZNDo6itVqZXR0VJx/Hg6Houtq\nGAa9Xo9MJsP09LTozL7rXe+i2WxSqVReFiIWiUSIRCK4XC7C4TCVSoXf/u3fJhKJiOc1Hz+ZTIoO\nsHmbaWZmRgSA5fN5PB4PMzMzdDodsZLLZrMRi8VE4FkoFKLRaLC1tSUC0QCazSbNZhOXy8X4+DiA\nKHYfeOABrl27Jt5vtVolHA4zGAxQVVXsqdZ1nUAgIM6K67qO1+slFovh8XjodrviPuZ+8Xg8LtaS\nqaoqxsulVyeLakmSJEmSJEmSXlOvVmD/LKPgg8GAZrMpRpPNNPBgMCiK3P39ffHvUqnExsYGPp9P\nhHDt7e0RiUQYHx8nkUiQSCREIdpoNJienqZcLtPr9ZiZmaHb7Yr91I1GA4/HIzrItVrtyAUAwzAw\nDAObzUaj0SCbzTI3N0c6nWZ3dxebzUY4HBarxoLBIL1eD0VRxPlvn88nxq7NM9qFQoFKpcKJEydY\nWVnhr//6r4HDwjmVSnH8+HHGx8fZ3t6mVCqhKAorKytEIhFSqRS6rovXHA6HRSfdLLDz+Ty1Wg2A\nU6dOifd084UF6ZXJolqSJEmSJEmSpNfNf+dcNRyeT4bDcehms0mr1WJ8fJzbb7+djY0NsXM5Go3i\ncDgol8sMBgNqtZpYRwUvFceKotBut2m1WrRaLZHkHY1GcTqdL3vem3deW61WHA6HGN+22Wxsbm4C\nMD8/T6PR4Ny5c6TTaebn5ymXyyKJ2+wE22w2PB4P8/PzpFIpPB6P6GpnMhk2NjYol8vEYjECgYAo\nts+cOcMLL7zAwcEBvV6Pa9euYRgGw+EQm80mxsUvXbpErVZjfn6edrtNqVQinU4TCoXI5XK4XC7x\nOZTLZc6ePcvKygqqqqKqKoVCgatXr8rx759Apn9LkiRJkiRJkvS6Ojg4EP/9d/5mMBgAh93h7e1t\nisUipVKJarVKo9FgZ2eHWCzGysoKg8FArNeKRqMEg0EymQzlchmv14vT6cTpdIpRaNMzzzzDuXPn\ngMPRbVVVRSBaPp8nl8sRCAQIBoMikXx+fl4Emi0vLxMKhRgfH2d2dlas0IrFYpw8eRKv10uj0SCV\nShEOh7n77rvJZDIkEgmRPG4Gq83Pz4tx78997nN84hOfwO12Uy6X2dzcpNlsYrFYRNe9VCpRLBbF\n+1QUhVqtxvb2No1Gg36/T7VapVQqEYvFxBn1vb090bVuNpu36mt+y5KdakmSJEmSJEmS3jDMwjoU\nConQrVcyHA6xWq1YLBYAsU5qf38fwzDodDqUy2W63S7BYJB6vc7o6KhIAzc7x4ZhAIjOrBniVa/X\n8fv91Go1dF2n0WgwOTlJr9fj+vXr5PN5dF3HYrGIf5tntTc3N4nH42iaJtZ2JRIJbDabSBFfWFgg\nEAiwtbUlRs3D4TDlcpl6vQ4cBrGdOXOGQCCAqqoiIE1VVebn5/mN3/gNXnzxRdbW1sTfAyKYzUwb\nN/dd2+12XC4XnU5H7Lmu1Wr0ej3y+TwOh4Pp6WkRzlapVIjFYmJsXnplsqiWJEmSJEmSJOkNxyyS\nl5aWuH79+st+3263gcOwsZGRETFOrSjKkR3PZvEYjUapVqvAYQF9/vx5DMNgZmaGer1OLpdjMBiI\nQtTj8aCqKlNTU6yvr4s90tVqFafTKbrkoVAIp9NJr9cjHo/TaDRYXV3F7XajaRqJRIKZmRmx29oc\n3za72/DSaHk6nebZZ58VO7PX19fpdru43e4j97PZbDgcDtrtNmfOnKFer9Pv98UZ88FgQD6fJ5lM\n4vP5OHbsGO12m3a7jd1uF7unVVVleXkZj8cjzm63220cDgdOp1OMp5uftfTKZFEtSZIkSZIkSdIb\n1vr6uvj3e97zHr7//e8f+b1hGPT7fXFWenR0FIvFQqPRwOFwiPVWHo9H7LDWdZ1r166JjnA+n0dV\nVfx+v0gLDwaDYqTcLNK73S6Tk5NMTk6ytbUlkrnN38PhuLR5nvnmAnpychJAJHmb+7G3trbEfZPJ\n5JEQNrNTb676Wl5eptFo0Gw2RfE7Pz/P3XffzZUrV8hkMiJYrNPpYLFYcLlcBAIBYrGYSEu/8847\n2d3dJZFIoKoqzWaTSCRCpVIRu70VRWFsbIxIJCI64NIrk2eqJUmSJEmSJEl6U3jmmWc4ODjgT//0\nT/F4POJ2s6CGw/Hver1Or9ejVCqxvr7OCy+8IM5Fd7tdnn/+eZGGbRgG09PTLC0toWkaPp+PU6dO\ncezYMTqdDrVajWg0yuLioiiME4mECDK7uehOp9Ps7e3RbrdpNBoiCfzpp5/GMAw0TaNSqZDJZCiV\nSlQqFZ599lkuXLhAoVBAVVWi0ShLS0vE43GCwSCzs7O43W6q1SqGYRAOh8nn82xubuJwOPD7/bzj\nHe9gOByysbHB1taW6MCfOXOGqakpdF1H13XGxsaYnZ0FDot/h8NBPp/n6tWrYrXW2NgYoVBIpKZL\nP53sVEuSJEmSJEmS9KbyyCOP8Mgjj7C6uspnPvMZfvCDH4h1UXBYZLfbbQaDAaOjo4yMjIjwsZvP\nXgNYrVZisRgul4tGo8FgMBCp2ObZZHNcGg7PKyeTSRwOB41Gg0wmg6IoTExMiLPXVqsVm81GoVAQ\n56XNsfJer0e/38cwDMbGxvB6vbTbbXZ2dkT3eWxsDIfDIS4c7OzsUC6X8fl8BAIBLly4QL1ex+l0\nMjExQafTYWJigp2dHdLpNJFIhMXFRXRdZ3d3F7vdzsrKCnCYem6OkQcCAZF2bo6HOxwOFhcXxfv1\n+/23/gt8i5FFtSRJkiRJkiRJb0orKys89dRTAHzqU5/iq1/96pH90QAWi0WMOJs0TRNJ3gDJZBKr\n1YqmaYyPj9NqtcTqLKvVSr1ep1QqiUK5VCqJIt1ut+NwOIjH41y+fBk4LMLNMe5er8fY2NiR89Cm\nZDJJLBYjlUpRKpUIhUK4XC7W19fFnu1utysuBOTzeW7cuIGiKHi9XlqtFpcvX2Zzc5NTp06xvr5O\nJpMRCd/NZlOc/Tbffz6fJxqN0uv12NjYwGq1MjU1haqqXLlyhVKpxMTEBIuLi+J55+fnb/VX95Yi\nx78lSZIkSZIkSXrTe+yxx+h2u3zoQx9CURRx+3A4FGPchmHQbrepVCq0Wi2GwyHlclkUq9evX6dY\nLJJOpymVSsTjcaxWK6lUCl3XmZubE3/f7XbxeDyMjY0Ri8VoNBqoqkosFhN7qM1Od7fbpVKp0Ov1\nWFpawuPx0O12jxTYi4uLLC4u0uv1yGaz7O7uAodFuPlY3W6XcDjM9PQ0fr9fBIipqkqlUiEUCrG/\nv8/29jY7OzvA4QWEWq3G1atX2d7ept/viwsPwWAQRVHE2XCr1So69NevX2d7e5tkMvlafH1varJT\nLUmSJEmSJEnSW8a3v/1tAB599FG+/OUvk8lkgMNVXWbCtcViodvtYhgGg8GA/f19RkdH8fl8Ysc1\nwMWLF0XHu1gssrW1hcPhEGFgjUZDrNPSNE10um8eRYeXutPb29v0ej1RuKqqSigUYnJyknA4jM/n\nY21tDUVRiEQi+P1+Op0OLpeLUqlEt9vl7rvv5sknnySbzWK329E0jdOnT3Px4kUAcrkcjUYDi8XC\n3NwcmUyGXq+H1WrF6/USi8WAw3TzO++8kxdffFG8F/MiQLFYRFEUOp0OpVLpyLow6eVkp1qSJEmS\nJEmSpLechx9+mHQ6zT/+4z/yoQ996EhROBwOaTabYsWWyVxFFQgEWFxcxOVy0ev1GA6HeL1e0uk0\nmUyGcrnM2toa29vbAGIUPJ/Pc/36dc6dO8fVq1dF8nYkEuH06dMiJMzsPl+9elXsmIbDUfLJyUlc\nLhf1ep319XXy+Tz33Xcf8/Pz5HI5nnzySZrNJj6fD7vdTq1Wo1KpYLPZ2N3dZX5+nuXlZbESy+Fw\nMD4+zszMjDgrnUqluHjxImtra+Jz2draEvur+/0+c3NzWK1WKpWKKLalVyY71ZIkSZIkSZIkvWU9\n9NBDPPTQQ2xubvLlL3+Zf/3XfxWj1d1uV+yBVlWV/f190XUOBAK0Wi22trZEuvjVq1cpl8si0Mxk\n7rqu1+sYhgEcFujJZFKEnJnnqwGy2axY29Vut+n1emLsPBQKEQ6HxWuDw65yNBrF7XaL13vy5Emc\nTifpdFq8F7P41TSNRqPBlStXiEQieL3eIxcQyuWy2MNt7vJ2OBwcP36ccrlMKBSiUqlQKpUYHx+X\nXeqfQhbVkiRJkiRJkiS95c3Pz/PYY4/x2GOP8cEPfpAf/OAHdDodDg4OaDabjI4eDvG63W6SySSX\nLl1CVVVcLhfD4ZC9vT0Mw8BiseD3+4lGo9TrdZGaPTs7K4LBFhcXabValMtlyuUyiqKgqiq1Wg2f\nzwdAtVpFURTC4TCFQoFCoYCiKLjdbmw2G41GA5vNhs1m49lnnyWbzTI/P4+iKAQCAdrtNk6nE3gp\nxXt6ehqn00kmkyGRSJBKpdA0jWAwKM5Sm8X8sWPH8Hg8PPvsswAsLS0RDoe5fPky9XodRVGwWq30\nej3y+bwsrH8CWVRLkiRJkiRJkvS28r3vfQ+Ap556ikceeYTnn3+earUqiuBcLicK6sFgIIrp06dP\n8+KLL6LrOhaLRaSDmwVrIBAQIWiKonDs2DEACoUC/X4fh8NBr9ejXq9TLBYJh8OEw2EajYYIDctm\ns+J1mondzWZTjGW32236/T7lcplwOAxAJpMhk8nQbrfx+/2i212tVkkkEgSDQe666y4CgQDr6+s0\nm036/T6KotDv94HDVWEej4d2u02n08Hr9YpCutVqvWbfzZuRLKolSZIkSZIkSXpbuv/++7n//vvZ\n3NzkD//wD7lw4QLVahXDMBgOhyiKQrfbFWPhrVaLXC5HvV4nHA5jt9vFaPje3h4Wi4VQKCQ6vXCY\nzG0Gn5lFq67rIjjs+vXrDAYDpqamaLVaqKoqkrtdLhfNZhNN0wiFQiwvL4sxb7vdzrVr10T329x/\nraoqJ06cIBaL8c1vfpN8Po/VahVnvHVdx+fziX3a5p7sarWKrusoioLH46Hf7+PxeAgEAq/Pl/Mm\nIotqSZIkSZIkSZLe1ubn50X3+pOf/CTf+MY3KBQKlMtlcR+n08k3v/lNKpWKCCYbGRnh4OAAl8uF\n1+ulUqmQz+cJBoMMBgOazSZWqxWPx4PD4SAQCKDrOplMhlAoRCAQIJfLAS/t1TZvq9fr4mev10up\nVOLcuXOi4N3c3OTEiRNUKhXsdjuqqjIYDETRrGkaPp+PbDYr0sBrtRqhUIjjx4+j67oYQfd6veJ8\ntXkxoN1u43A4cLvdYnWX9Mpk+rckSZIkSZIkSdJ/+cpXvkI+nxc/K4rCyMgIe3t7lEol9vf36fV6\nDAYDhsMhNpsNr9fL3Nwc4+PjdDodyuUye3t7FItFrFarKFTdbjczMzO8853vJBaLoes6p0+fxuPx\n0Gg0aLfbXLlyhcXFRd797ncDUKlUOHbsGLfddhtWq5VMJsPW1hapVIqZmRnsdjvVapVgMIjH46FW\nq4kC/dSpUwSDQQzDIJfLUa1W0TRN7L1ut9uoqir+A8Re6tnZWZxOJx6PR4yZS69MFtWSJEmSJEmS\nJEk/5uDggIODA55//nl+93d/92W/7/f7jI6O0u12SSQSnD17llKpBByu7BoOh1gsFjFenUwm+cEP\nfkCj0eAjH/kICwsL1Go1NjY2aDQa2O12FhcXCYVCIvlbVVXq9TrlclnstB4fH2dsbIyFhQWSySTV\napV6vU6z2URRFNGlNgwDl8vFfffdx8TExJH08Zv/ptVq0Wq1KBQKrK2t0Wg0UBRF3F/TNKLR6Gv6\n2b/ZyPFvSZIkSZIkSZKkV7GyssLjjz/OP/3TP4mz0YBI/YbDdVlm1xcgHA4TDAbRNE2cr3a5XBiG\nQSqV4tKlSwA4HA76/f6R1Voul4uNjQ36/b4IEUsmk2JM2+fzMTExQTweBxDPoes6TqeTsbExNjc3\nUVUVm81Gv9/HbrczOjoqxsMNw8BqtYoUcUVRxOMDYj2Yw+HAMAy2trZYWVl5zT7zNxvZqZYkSZIk\nSZIkSfop6vW6WL/1e7/3e0dWTDWbTZrNJvv7+wB0Oh2y2Sy5XI7BYEA8Hsfr9WIYBvV6nXPnzvHU\nU0+hqip+v/9IMriqqiKV2+v1Mjs7i6IodDodkUhuPke73WZtbY1MJgMcnr+ORCKiI93tdqnX63g8\nHkZHRzEMg2w2S7VaZTAYiMLdTALXNA232y1ui0ajaJomz1T/FLJTLUmSJEmSJEmS9DNyuVw8/vjj\nPP7443z4wx/mmWeeodVq0el06HQ6uN1uOp0OIyMjOBwOESBmGAbpdBqr1UqtVqNQKGC1WjEMA5/P\nRygUEiPXZkE9PT1Nt9sVq7asVivHjx+nUqmQyWTQNI1KpQIcFv21Wk0U5uaO68XFRVRVJZPJkE6n\nqdVqhMNhFhcXqdVqeL1e6vW62MMNMBgM0DSNfD5PPB5nZmbmdfzE3/hkUS1JkiRJkiRJkvRz+Pa3\nvw3AX/zFX/C3f/u3tFotsVvaYrGI/dWpVIr9/X1UVaVUKtFqtcSZazgcAzfPOAcCAdG5TiQSoosc\nCoXQdZ2nn34aq9XK2NgYU1NT5HI5rFYrDodDFNg+nw9AnMuenJzkvvvu47vf/S5weGFAVVUmJiZE\nSFmz2aTb7QJgs9mAwxF38zbp1cnxb0mSJEmSJEmSpF/A5z//eYrFIn//93/PXXfdhdfrZTgcUq/X\nKRQKlEol6vU6o6OjVKtVCoUCw+GQXq9Hp9NhfX2darWK1WoVBbXT6QQOA9F8Ph+Li4sA6LqOy+Ui\nEokAiC747u4uhmHgcDjY2tpib28PXdepVCqkUilisRgnT55kdHSUzc1NLl68yPb2NrlcjmKxKEbT\nvV4vx44dwzAMOp0OAIVC4fX5YN8kZFEtSZIkSZIkSZJ0Czz00EOcP3+eZ555hjNnzuB2u8UKLnPV\nVr1ex2q1MhwOaTQa4qx0PB4XRXW73aZWq4nwMJfLha7rAExMTHDs2DE0TSMej/Oud72LaDRKr9cT\nHepKpUKlUsHlcnHy5EnRef7ABz6A0+lE13Wy2Sw7Ozvs7e2JVVt2ux3DMNjb20PTNDweD4Ao8KVX\nJotqSZIkSZIkSZKkW2hlZYVnnnmGf/mXf+H9738/Xq8XRVHQdf3IWqtyuYzFYiEYDIoz0YZh0Gw2\nKRQKKIqC0+nk6tWr7O7u0mg02NnZIZlMYhgGlUrlSBjZzMwM/X6fQCCA1WplfX2dzc1NyuUyuq6j\naRp33303mqZRKpXECLjL5WJiYoLjx4/j8/nQdZ1Wq0WlUhFrwqRXJ89US5IkSZIkSZIk/RLcf//9\n3H///ayurvLYY4/x4osvsr29zbVr1wCw2+2k02ny+Tyjo6NomkYwGMTn8+FyucR+683NTWKxGKqq\nio41wPr6Ouvr65RKJYrFIoPBgOnpaaLRKDs7O6LbDaAoCoVCgWPHjvHcc8+J51NVFcMwSCaTLC4u\n4vf70XWdnZ0d6vU6mqZx7do15ufnX5fP8M1AFtWSJEmSJEmSJEm/RCsrK3zlK18B4FOf+hRf+9rX\n6Ha7IjF8ZGREjFgPh0OazSZW62Gp1mq1MAyD4XDI7OwsgDj/DIdnrm8OPQOYnJykXC5jGAYTExNU\nKhX6/T7NZhNd1xkbG8Pr9dJoNFhdXRUj6Lu7u5TLZeCwCLfb7WJ3tfTq5Pi3JEmSJEmSJEnSa+Sx\nxx6jVqvxxBNPMD4+DsDBwQG6rlMoFNje3iaTyVAqlajVaiLRW1VVcQa7Xq/T7XbxeDzUajVyuRyq\nqjI9PY2iKNhsNqamptA07UhnO5/Ps7u7i8/nw+PxoOs6+Xye4XCI0+lkb2+PQqFAvV6n3+8TDocB\nSCQSr/0H9SYii2pJkiRJkiRJkqTX2EMPPUQ6nebP//zPCYVCjI4elmbNZpNMJsPOzg7ZbJZGo4Gq\nqrhcLgaDAW63WwSPaZpGrVaj3W6jqip+v59+v8/q6iq1Wg047HSbo+TtdhuPx0MoFMLv91Ov16lU\nKtjtdqxWK51ORzy20+lE0zSRCC69OllUS5IkSZIkSZIkvU7MdVz/8A//wOnTp/F4PIyOjlKpVNjb\n26PX69FsNtnc3KRYLIrRcI/Hw/nz52m1WkQiEVZWVpidnRX7ruHwzDYchqI5HA68Xi+RSIQzZ84Q\nj8fp9Xrs7+8DYLVaGQwGNJtNvN7/v717D7Kzru84/v4mm82FkJAlJiGES0pCIwFqFIWx2glYKxMs\ndNqMSrlUbVNLFdEZWi29ObV/tAMzZhyUihdKQ6tWhRap0jCGlKECkgLBBCKXEEh2k90kuxs42d2c\n3eTbP87JdllzWZ+Ss+ds3q8ZhufyO+d8n+XHOb/PeZ7ze6Zz5plnMmHCBM4991yuvPLKUfv7NAJD\ntSRJkiSNsuXLl/Poo49yzz33cMUVV9DS0sK+ffvYtWsXu3fvZvPmzbS1tdHZ2Ul7ezv79u1j27Zt\n7Ny5k+7ubrZs2cLDDz9Md3c3J554IrNmzaK/v39wwrEZM2bQ3NwMQHd3Nx0dHcyZM4cpU6YM3uP6\nYLCePXs2M2fOBGDixIm0t7eP5p+m7hmqJUmSJKlOXHLJJdx999185zvfYenSpYOXXg8MDNDV1TU4\nU/eaNWs48cQT6e/vp7Ozk40bN7Ju3ToAent7aW1tZcKECfT09LBr1y5eeOEF9u7dS7lc5qWXXmLC\nhAksWrSIlpYW+vr6aGtrAyqXlAP09PQM3vZr7969o/PHaBDO/i1JkiRJdebg7bh27NjBtddeyyOP\nPPK68PvKK68Aldm/m5ub6enpARgM07NmzeKcc84ZPJu9Z88e+vr6Bs9gQ2WG7/POO49yuUxXVxdN\nTU1MmTKF7u7uwQnMmpubmTVr1uj8ERqEoVqSJEmS6tScOXNYvXo1L774Itdddx3r1q2jq6uLjRs3\nDrYZN24c06dPZ/r06bS3tzNt2jTmzp1LW1sbpVKJ5uZmuru7KZVKDAwMsG/fPiZOnMiCBQs4++yz\n6ejoYN26dYwfP55TTjmF7u5uyuUy/f39PPfcc56pPgov/5YkSZKkOnfWWWexevVqHn/8cS6++OLX\n7evt7WVgYID9+/czbdo0mpqaaGtrY8KECTQ3N9Pc3MyUKVNoamoanBX8jDPOAODHP/4xkyZNYvz4\n8fT29rJ7927K5TKTJ09m0qRJ9PX18fLLL9f8eBuJoVqSJEmSGsRZZ53FmjVrePe73z048RjAjh07\n2LRpEx0dHWzfvp3169ezefPmwUu458+fz+zZs4HK5GM9PT1s27aNrVu3MjAwQEtLC+Vymc7OTsaP\nH0+5XGb69Om0tLTQ2to6WofbEAzVkiRJktRgHnroIfbt20dmsmLFCubMmQNAqVTitddeo6enh46O\nDlpbW9m8eTOtra3s37+fqVOn0tTUxPbt29mzZw/Nzc1MmjSJU089lYkTJw7eYquvr4/W1lZeffVV\nFi5cOJqHWvcM1ZIkSZLUwG6//Xa2b9/OVVddxQknnMC4cePo7++nvb2d7u5u9uzZw6uvvkq5XGbn\nzp2D97wul8sAtLe3M3XqVObNm0dEsGvXLsrl8uCtvKZMmTLKR1jfDNWSJEmSNAbcddddlEolVq5c\nyaJFi5g4cSLlcpne3l62bNnCpk2b2LFjBwMDAxw4cIByuTz4W+pSqcT8+fOZPHkyfX19lMtlIoL9\n+/ezdevW0T60umaoliRJkqQx5Prrr2fDhg3ccsstLFiwYHB7qVSiu7ubSZMmMWPGDKZOnTr4z759\n+yiVSoP3qT5w4AAtLS3Mnz9/tA6jYRiqJUmSJGkMWrFiBc8//zw333wzJ5100uD25557jvXr19PR\n0QFAZ2cn27Zt4+WXX2ZgYGDwtltNTU0MDAwwefLk0TqEhmColiRJkqQx7MYbb6Srq4v77ruP888/\nn+bmZgYGBtixYwePPvoobW1t9PT0UCqV6Ovr48CBA/T29tLZ2Ul7ezudnZ2jfQh1ra5CdURcGhGb\nIuL5iPjMYdp8sbp/fUQsqXWNkiRJktSILrvsMtavX8+tt97K1VdfzcyZM+nq6qKrq4u+vj56e3vp\n6uoiIshM+vv7mT59Or29vaNdel2rm1AdEeOBW4FLgXOAKyPizcPaLAMWZOZC4A+B22peqCRJkiQ1\nsBUrVnDHHXdw0003sWTJEk4++WRKpRK9vb309/czfvx4mpubOXDgAPv37x/tcute3YRq4B3AC5m5\nJTP7gW8BVwxrczlwJ0BmPgacFBGza1umJEmSJDW+FStW8MQTT7BmzRoWL15MU1MTAN3d3bz22mvs\n3buXjRs3snHjxlGutL7VU6g+FRg6V/u26rajtZl3jOuSJEmSpDHr/PPPZ8OGDXzjG99g8eLFr5sB\nvFQq+Zvqo6inUJ0jbBcFHydJkiRJOoxrrrmGDRs2sGrVKi644AKmTp1Kc3MzW7ZsGe3S6lrTaBcw\nRCtw2pD106iciT5Sm3nVbT/nc5/73ODy0qVLWbp06RtRoyRJkiSNacuXL2f58uWsWrWKVatWcdhP\n7rkAAAsKSURBVO655452SaNi7dq1rF279qjtIrM+TvRGRBPwM+A9QBvwE+DKzHx2SJtlwCcyc1lE\nXASszMyLDvFcWS/HJUmSJElqfNVZ0YdfOV0/Z6ozcyAiPgH8JzAe+HpmPhsRH6vu/0pm/iAilkXE\nC8Be4COjWLIkSZIk6ThXN2eq30ieqZYkSZIkvZEOd6a6niYqkyRJkiSpoRiqJUmSJEkqyFAtSZIk\nSVJBhmpJkiRJkgoyVEuSJEmSVJChWpIkSZKkggzVkiRJkiQVZKiWJEmSJKkgQ7UkSZIkSQUZqiVJ\nkiRJKshQLUmSJElSQYZqSZIkSZIKMlRLkiRJklSQoVqSJEmSpIIM1ZIkSZIkFWSoliRJkiSpIEO1\nJEmSJEkFGaolSZIkSSrIUC1JkiRJUkGGakmSJEmSCjJUS5IkSZJUkKFakiRJkqSCDNWSJEmSJBVk\nqJYkSZIkqSBDtSRJkiRJBRmqJUmSJEkqyFAtSZIkSVJBhmpJkiRJkgoyVEuSJEmSVJChWpIkSZKk\nggzVkiRJkiQVZKiWJEmSJKkgQ7UkSZIkSQUZqiVJkiRJKshQLUmSJElSQYZqSZIkSZIKMlRLkiRJ\nklSQoVqSJEmSpIIM1ZIkSZIkFWSoliRJkiSpIEO1JEmSJEkFGaolSZIkSSrIUC1JkiRJUkGGakmS\nJEmSCjJUS5IkSZJUkKFakiRJkqSCDNWSJEmSJBVkqJYkSZIkqSBDtSRJkiRJBRmqJUmSJEkqyFAt\nSZIkSVJBhmpJkiRJkgoyVEuSJEmSVJChWpIkSZKkggzVkiRJkiQVZKiWJEmSJKkgQ7UkSZIkSQXV\nTaiOiJaIeCAinouI1RFx0iHanBYRD0bExojYEBGfHI1aJUmSJEmCOgrVwGeBBzLzbOBH1fXh+oFP\nZ+Zi4CLg4xHx5hrW2FDWrl072iWoTtgXNJT9QUPZH3SQfUFD2R80lP3hyOopVF8O3FldvhP4reEN\nMnNHZj5VXS4BzwJza1Zhg7Hz6yD7goayP2go+4MOsi9oKPuDhrI/HFk9herZmdleXW4HZh+pcUSc\nCSwBHju2ZUmSJEmSdGhNtXyxiHgAmHOIXX8+dCUzMyLyCM8zFfgucEP1jLUkSZIkSTUXmYfNrjUV\nEZuApZm5IyJOAR7MzEWHaDcBuA/4YWauPMxz1cdBSZIkSZLGjMyM4dtqeqb6KO4Ffg/4++q//214\ng4gI4OvAM4cL1HDoA5UkSZIk6Y1WT2eqW4B/BU4HtgAfyMzuiJgLfDUzL4uIdwEPAU8DBwv/s8y8\nfzRqliRJkiQd3+omVEuSJEmS1GjqafZvFRARp0XEgxGxMSI2RMQnD9FmekR8PyKeqrb58CiUqmMs\nIiZFxGND/jt/7jDtvhgRz0fE+ohYUuMyVSMj6Q8RcVW1HzwdEf8dEeePQqk6xkb63lBt+/aIGIiI\n365hiaqhX+CzYmlEPFlts7a2VapWRvhZ4TjyOBIR46v/73//MPsdRx5CPf2mWsX0A5/OzKeqs6L/\nT0Q8kJnPDmnzcWBDZv5mRMwEfhYRd2XmwKhUrGMiM/si4uLM7ImIJuDhiPhhZg7edi4ilgELMnNh\nRFwI3AZcNFo169gZSX8ANgO/lpl7IuJS4HbsD2POCPsCETGeyrwm9wPOTTJGjfCz4iTgS8D7MnNb\ndeygMWiE7w+OI48vNwDPACcO3+E48vA8U93gMnNHZj5VXS4BzwJzhzU7AEyrLk8DdvtGODZlZk91\nsRmYQOW//VCXA3dW2z4GnBQRR7wnvBrX0fpDZj6SmXuqq48B82pYnmpoBO8NANdTuV3lzlrVpdEx\ngv7wu8D3MnNbtf2uGpanGhtBf3AceZyIiHnAMuBrHPrLVceRh2GoHkMi4kxgCZXB8VC3AudERBuw\nnso3UBqDImJcRDwFtAOrM/PxYU1OBbYOWd+GQWrMGkF/GOr3gR/UpjLV2tH6QkScClxB5awD/N9k\noBqDRvDesBBoqf68bF1EXFP7KlUrI+gPjiOPH18A/oRDf/EKjiMPy1A9RlQv/f4ucEP1jPVQlwJP\nZOZc4C3AlyLi5y7pUOPLzAOZ+RYqb3AXRsTiQzQb/s2jg+cxaoT9gYi4GPgo8Jla1qfaGUFfWAl8\nNiuzlwZe/j2mjaA/TADeSuWM1fuAv4yIhTUuUzUygv7gOPI4EBHvBzoy80mO/BngOPIQDNVjQERM\nAL4H3JWZP3d/b+DDwN0Amfki8BLwyzUrUDVXvaT3QSofhEO1AqcNWZ9X3aYx7Aj9gerkZF8FLs/M\nrlrXpto6Ql94G/CtiHgJ+B3gyxFxea3rU20doT9spXLGsjczd1O5nemv1Lo+1dYR+sOHcRx5PHgn\ncHn1c+CbwCUR8U/D2jiOPAxDdYOLiAC+DjyTmSsP0+wV4Ner7WdTeSPcXJsKVSsRMbM6uQwRMRl4\nL5Xf2A91L3Bttc1FQHdmtte0UNXESPpDRJxOZaB0dWa+UPsqVQsj6QuZ+UuZOT8z51O56um6zLy3\n9tXqWBvhZ8W/A++qzgI8BbiQysRFGmNG2B8cRx4HMvOmzDyt+jnwIWBNZl47rJnjyMNw9u/G96vA\n1cDTEfFkddtNwOkAmfkV4PPAP0bE01Qu2fjTzOwcjWJ1TJ0C3FmdwXcc8O3M/EFEfAwqfaG6viwi\nXgD2Ah8ZxXp1bB21PwB/BcwAbqt8P0d/Zr5jtArWMTOSvqDjx0g+KzZFxP3A01R+W/nVzDRUj00j\neX9wHHl8SgDHkSMTlZ9PSZIkSZKkX5SXf0uSJEmSVJChWpIkSZKkggzVkiRJkiQVZKiWJEmSJKkg\nQ7UkSZIkSQUZqiVJkiRJKshQLUmSJElSQYZqSZIkSZIKMlRLktRAIuKmiHg+Iv4gIj4VEbdFxOQh\n+9dExG8Me8ynIuLLR3ne0rGqWZKkscxQLUlSY/kJcHdmfi0zVwJzgPcO2f9N4EPDHvNB4F+O8rz5\nxpUoSdLxw1AtSVJjuRD4L4CImA2cDDw8ZP/3gMsioqna5kxgbmY+XF2/JyLWRcSGiFgx/Mkj4syI\n+OmQ9Rsj4q+ry1dHxGMR8WRE/ENEjKtuPyEi/iMinoqIn0bEB47FgUuSVI8M1ZIkNZYLgEkRcR3w\nKeB9mdl5cGd1+SfAsuqmDwHfHvL4j2bmBcDbgU9GxIyjvF4CRMSbgQ8A78zMJcAB4Kpqm0uB1sx8\nS2aeB9z//zlASZIaiaFakqTGcnJm3p2ZtwHvBMqHaDP0EvAPVtcPuiEingIeAU4DFo7wdS8B3gas\ni4gnq+vzq/ueBt4bEX8XEe/KzFd/oSOSJKmBNY12AZIkaWQi4gxgx5BNpwPNQO+wpvcCX4iIJcCU\nzHyy+vilwHuAizKzLyIeBCYNe+wAr//S/eAkaAHcmZk3Da8rM5+vvtZlwN9GxI8y8/NFjlGSpEbj\nmWpJkhrHhcB6gIiYSOW30r0RMWtoo8wsAQ8Cd/D6CcqmAV3VQL0IuOgQr9EOzIqIluprvJ/KJeA/\nApZHxJuqr98SEadXl08B+jLzn4FbgLe+YUcsSVKd80y1JEkNICJ+DfgYsC0i3pSZOyPi+9VJwZ4F\nOoY95JvA3VR+B33Q/cAfRcQzwM+oXAJ+UAJkZn9E/A2V32W3As9Utz8bEX8BrK5OUNYP/DHwCnAe\ncHNEHKByOfp1b+ChS5JU1yLTO2hIkiRJklSEl39LkiRJklSQoVqSJEmSpIIM1ZIkSZIkFWSoliRJ\nkiSpIEO1JEmSJEkFGaolSZIkSSrIUC1JkiRJUkGGakmSJEmSCvpfrgazLa2kiToAAAAASUVORK5C\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7fe1b5cb6668>"
]
}
],
"prompt_number": 80
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**2. Expand the first period-doubling cascade on your plot from problem 1, zeroing in on the bifurcation points, and estimate the Feigenbaum number experimentally. (You can get much better resolution on this by looking at the numbers in the iteration sequence than by looking at the graph, by the way, and you\u2019ll need that resolution when you get into the smaller-width bifurcations.) Use at least the first four bifurcations to compute your estimates and remember that these estimates will get closer to the true $4.66\\ldots$ value as you get deeper into the bifurcation tree.**\n",
"\n",
"We start by identifying bounds for each bifurcation point and calculating the data for those bounds."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"bifur_points = [np.arange(2.95, 3.05, 1e-4),\n",
" np.arange(3.44, 3.45, 1e-5),\n",
" np.arange(3.52, 3.56, 1e-5),\n",
" np.arange(3.56, 3.57, 1e-5)]\n",
"\n",
"data = [np.zeros((bifur_points[0].shape[0], height)),\n",
" np.zeros((bifur_points[1].shape[0], height)),\n",
" np.zeros((bifur_points[2].shape[0], height)),\n",
" np.zeros((bifur_points[3].shape[0], height))]\n",
"\n",
"for i in range(4):\n",
" for j in range(len(bifur_points[i])):\n",
" vals = r_func(1000, 0.2, bifur_points[i][j], height)\n",
" data[i][j] = vals"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 188
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We now plot all the points."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axarr = plt.subplots(1, 4, figsize=(18,8))\n",
"for i in range(4):\n",
" for j in range(bifur_points[i].shape[0]):\n",
" axarr[i].scatter(np.zeros(height) + bifur_points[i][j], data[i][j], s=0.1, alpha=0.2)\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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OwdxTgACAvZvEKPB7uf29v/f31o1plrqKALB3ihAAAAzu0KFDJwoSv/3bv73uMrM4hgUA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\n",
"text": [
"<matplotlib.figure.Figure at 0x7fe1ade97358>"
]
}
],
"prompt_number": 189
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can now estimate the $R$ values to be $\\{3, 3.449, 3.545, 3.5643\\}$, using which we can approximate the Feigenbaum number."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"(3.545 - 3.449) / (3.5643 - 3.545)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 157,
"text": [
"4.974093264248742"
]
}
],
"prompt_number": 157
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**3. Repeat problem 2 with the Henon map:**\n",
"\n",
"$$\n",
"\\begin{aligned}\n",
"x_{k + 1} &=& y_k + 1 - ax^2_k\\\\\n",
"y_{k + 1} &=& bx_k\n",
"\\end{aligned}\n",
"$$\n",
"\n",
"**Use $b = 0.3$ and $0 < a < 1.4$. See page 208 of Parker and Chua if you\u2019re interested in learning more about this map. Please also turn in a plot of the bifurcation diagram of this map.**\n",
"\n",
"Let's first establish our map."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def henon(a, b, x0, y0, steps, toss=0):\n",
" xvals = np.zeros(steps)\n",
" yvals = np.zeros(steps)\n",
" xvals[0] = x0\n",
" yvals[0] = y0\n",
" for i in range(1, steps):\n",
" yvals[i] = b * xvals[i - 1]\n",
" xvals[i] = yvals[i - 1] + 1 - (a * xvals[i - 1]**2)\n",
" return (xvals[toss:], yvals[toss:])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 190
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we can show our bifurcation diagram. We will only examine the $x$ coordinates. First we establish our data."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"a = np.arange(0, 1.4, 1e-3)\n",
"b = 0.3\n",
"x0 = 0.2\n",
"y0 = 0.2\n",
"\n",
"data = np.zeros((1.4 * 1e3 + 1, 500))\n",
"\n",
"for i in range(a.shape[0]):\n",
" data[i] = henon(a[i], b, x0, y0, 1000, 500)[0]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 191
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we can plot it."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=(16,8))\n",
"ax = fig.add_axes([0.1, 0.1, 0.8, 0.8])\n",
"for i in range(int(1.4 * 1e3)):\n",
" ax.scatter(np.ones(500) * a[i], data[i], s=0.1, alpha=0.2)\n",
"plt.title('Bifurcation Plot')\n",
"plt.xlabel(r'$a$ Values')\n",
"plt.ylabel(r'$x_n$ Value')\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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EIjQaDQKBAFevXlX38geMQrfI+6Ch57LX9PUicn+60+r4uz3+QX4e6PfOnfn+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PP/00b775JufOnePEiROEQiFqtRqdTmfAuXxtbY2dnR352+Vysbi4SLVa5fz583g8Hp544gmp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\nyZP/D91OkwXfA2W7AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7fe1a3550550>"
]
}
],
"prompt_number": 182
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let us determine the bifurcation points and estimate the Feigenbaum number again."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"bifur_points = [np.arange(0.35, 0.4, 1e-4),\n",
" np.arange(0.9, 0.95, 1e-4),\n",
" np.arange(1.0, 1.05, 1e-4),\n",
" np.arange(1.05, 1.054, 1e-5)]\n",
"\n",
"data = [np.zeros((bifur_points[0].shape[0], 500)),\n",
" np.zeros((bifur_points[1].shape[0], 500)),\n",
" np.zeros((bifur_points[2].shape[0], 500)),\n",
" np.zeros((bifur_points[3].shape[0], 500))]\n",
"\n",
"for i in range(4):\n",
" for j in range(len(bifur_points[i])):\n",
" vals = henon(bifur_points[i][j], b, x0, y0, 1000, 500)[0]\n",
" data[i][j] = vals"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 217
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And now we plot."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axarr = plt.subplots(1, 4, figsize=(18,8))\n",
"for i in range(4):\n",
" for j in range(bifur_points[i].shape[0]):\n",
" axarr[i].scatter(np.ones(500) * bifur_points[i][j], data[i][j], s=0.1, alpha=0.2)\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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Y4cOHc+zYsWl3gykRNnAaoxsAAGBxfPnLX843fMM35Gtf+9q0u7IQDh06lKNH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\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7fe1b59360b8>"
]
}
],
"prompt_number": 218
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Estimating our bifurcation points we get $R = \\{0.35, 0.912, 1.025, 1.051\\}$."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"(1.025 - 0.912) / (1.051 - 1.025)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 219,
"text": [
"4.346153846153838"
]
}
],
"prompt_number": 219
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**4. Are your answers to problems 2 and 3 the same (or close)? Should they be the same?**\n",
"\n",
"These numbers are close, however they are still only approximations. In the ideal world, if were were to take the limit we would see the following behavior.\n",
"\n",
"$$\n",
"\\delta = \\lim_{n\\rightarrow \\infty} \\dfrac{a_{n-1}-a_{n-2}}{a_n-a_{n-1}} = 4.669\\,201\\,609\\,\\cdots\n",
"$$"
]
}
],
"metadata": {}
}
]
}
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