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{
"worksheets": [
{
"cells": [
{
"metadata": {},
"cell_type": "heading",
"source": "SymPy implementation of Pearl 2013",
"level": 1
},
{
"metadata": {},
"cell_type": "markdown",
"source": "The causality Don himself Judea Pearl wrote an interesting and important and useful paper in 2013 called *Interpretation and identification of Causal Mediation* (available [here](#https://www.google.co.uk/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&ved=0CDQQFjAA&url=ftp%3A%2F%2Fftp.cs.ucla.edu%2Fpub%2Fstat_ser%2Fr389.pdf&ei=ZBvgUvWNMMWN7AbKxYD4Dg&usg=AFQjCNHWAmwBLmZiN8UyHgp2JLpKtC6fiw&sig2=8PZKt7GrHgErEXzuWEoMFQ). This notebook is an attempt to write down, experiment with, and thereby understand, the formalisms described in this paper. \n\n\nThe main tool for this will be the python symbolic computation library SymPy. I am very much a sympy novice, not to mention a fundamental-theory-of-statistical-causality novice. So there's a dual-autodidactic objective here. "
},
{
"metadata": {},
"cell_type": "heading",
"source": "Notes",
"level": 2
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Verbatim copied bits of text are types in markdown cells with single indentation quotes. \n\n\nSympy rearranges stuff automatically; not always easy to stop it doing that. "
},
{
"metadata": {},
"cell_type": "heading",
"source": "Setup",
"level": 2
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Importage"
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "from sympy import symbols, Eq\n\nfrom sympy.interactive import printing\nprinting.init_printing()\n\nfrom sympy.stats import E, Normal, Uniform, DiscreteUniform\n\nfrom wand.image import Image as WImage # (for viewing PDF)\n\nimport numpy as np",
"prompt_number": 142,
"outputs": [],
"language": "python",
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Load the PDF (have a copy in the current directory). Will use it to check out the paper content while writing. Might include some pages in the finished notebook. Not sure yet."
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "thepaper = 'Interpreation_and_Identification_of_Causal_Mediation__Pearl2013.pdf'\nn_pages = 8; all_pages = np.arange(0, n_pages)\npdf_pages = {p+1 : WImage(filename= '%s[%s]' %(thepaper,str(p))) for p in all_pages} ",
"prompt_number": 52,
"outputs": [],
"language": "python",
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "---"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "***Page 5***"
},
{
"metadata": {},
"cell_type": "heading",
"source": "2.1 Mediation analysis in the parametric tradition",
"level": 2
},
{
"metadata": {},
"cell_type": "markdown",
"source": ">Figure 1 depicts the basic mediation structure that we will later embed in wider contexts.\nIt consists of three random variables: $T$, often called treatment; $Y$ , the outcome; and $M$, the\nmediator, whose role in transmitting the effect of $T$ on $Y$ we wish to assess. As a running\nexample, we could imagine an \\encouragement design\" (Holland, 1988) where $T$ stands for a\ntype of educational program that a student receives, M stands for the amount of homework\na student does, and $Y$ stands for a student's score on the exam. In the linear case (Fig.\n1(a)), the causal relationships in this example would be modeled in three linear equations: \n<div></div> \n> <div align=\"center\">\n&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n$t = u_T$\n&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n$m = \\alpha t + u_M$\n&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n$y = \\beta t + \\gamma m + u_Y$</div>\n<div align=\"right\">(1)</div> \n\n> where lower-case symbols ($t$; $m$; $y$) represent the values that the variables ($T$; $M$; $Y$) may\ntake, and $U_T$; $U_M$; and $U_Y$ stand for omitted factors that explain variations in $T$; $M$; and $Y$. The coefficients $\\alpha$; $\\beta$; $\\gamma$ represent the structural parameters which need to be estimated from the data and which define the direct ($\\alpha$), indirect ($\\beta \\gamma$) and total (\u001c $\\tau = \\beta$ + $\\alpha$ $\\gamma$) effects of $T$ on $Y$ ."
},
{
"metadata": {},
"cell_type": "markdown",
"source": "*In sympy:*"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Define symbols for each variable"
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "T,M,Y, t,m,y, Ut,Um,Uy, ut,um,uy, alpha,beta,gamma, tau = symbols(r'T M Y t m y U_T U_M U_Y u_T u_M u_Y \\alpha \\beta \\gamma \\tau ')",
"prompt_number": 107,
"outputs": [],
"language": "python",
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "The three linear equations in (1)"
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "Eq(t, ut)",
"prompt_number": 108,
"outputs": [
{
"latex": "$$t = u_{T}$$",
"text": "t = u_T",
"prompt_number": 108,
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAADsAAAAQBAMAAABaYBp1AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEN0iVJnNiUSru3Yy\n72Yb8tN+AAAA0ElEQVQYGWNgYFRmwAdYPuCTZWBNwCvNVIBPunP9yg2o8uLRDMwX4UL+YFZZGgik\ngtgBvgzcHxjeTl0/df4DBoYwsDSCYH4QxsC1gGEiw3sGvgYGBnWEDJjFyHCbgXcD4waGKAYWAwbG\nH2jSDBwfGc4f4BEA6uNgYOD4wCAAVFCkBAKaIKWsCgz7gRREH3sCywGQIAJwTWBYxScAMgQIWCdI\nI2TALNYFHFfZGRjYFUA85tVo3mZgnL7l5B4GBqAh+AD/A3yyQNfjk+7Unw6UBgC+USyEdPeLhAAA\nAABJRU5ErkJggg==\n",
"metadata": {}
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "Eq(m, alpha*t + um)",
"prompt_number": 109,
"outputs": [
{
"latex": "$$m = \\alpha t + u_{M}$$",
"text": "m = \\alpha⋅t + u_M",
"prompt_number": 109,
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAAHoAAAAQBAMAAAArGHbrAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n",
"metadata": {}
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "Eq(y, beta*t + gamma*m + uy)",
"prompt_number": 110,
"outputs": [
{
"latex": "$$y = \\beta t + \\gamma m + u_{Y}$$",
"text": "y = \\beta⋅t + \\gamma⋅m + u_Y",
"prompt_number": 110,
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAAKQAAAASBAMAAAAnCGgaAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nAElFTkSuQmCC\n",
"metadata": {}
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": ">We can imagine, for example, an investigator going to a district where $T$ is not available, recruiting interested students (and their parents) and then randomly assigning $T = 1$ to some and $T = 0$ to others, and estimating\n$\\alpha$ through the difference in the mean of $M$ between the two experimental groups, which we write as $E[M|do(T = 1)] - E[M|do(T = 0)]$. At the same experiment, the investigator can also measure students' scores, $Y$ , and estimate the total effect\n<div></div> \n<div align=\"center\"> $\\tau = E[Y|do(T = 1)] - E[Y | do(T = 0)] = \\beta + \\alpha \\gamma$</div> \n\n>To estimate $\\gamma$ would require a more elaborate experiment in which both $T$ and $M$ are simultaneously randomized, thus deconfounding all three relationships in the model and permitting an unbiased estimate of $\\gamma$:\n<div></div> \n<div align=\"center\"> $\\gamma = E[Y | do(T = 0); do(M + 1)] - E[Y |do(T = 0); do(M)]$</div> \n\n>The latter can also be estimated in an encouragement design where $M$ is not controlled\ndirectly, but through a randomized incentive for homework. However, most traditional work\non mediation focused on non-experimental estimation, treating the structural equations in\n(1) as regression equations, assuming that each $U$ term is uncorrelated with the predictors\nin the same equation."
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "Eq(tau,E(Y, T=1) - E(Y, T=0))",
"prompt_number": 143,
"outputs": [
{
"latex": "$$\\alpha \\gamma + \\beta = 0$$",
"text": "\\alpha⋅\\gamma + \\beta = 0",
"prompt_number": 143,
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAAGUAAAASBAMAAACwdQ2FAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiZl2RCLdEO9Uu81m\nqzKufkATAAABd0lEQVQoFY2QL0zDQBTGv3YdR2GMrSNAMkHRCMYUySCpRLGBQGNALCEUgSaIKRJS\ng96CQWEQmJqimCBhKBRJFQmKgEGR8K69K7sTjCfu3vvd+96fA/6w/JqjvbLFeqwhLdxCwVXRZMD2\nVJJGrCVpCdau9NO7D1RVkkZ2TVC7BbOnZlwDXV9FSZRpcsBGrCZ8A82AkFP3APvwCnZaIdO8bTe0\n4dknaWrAjsc6+aD/1AbV5ZZp7o+ccw6qIbcb8vIfwHsJOAUuc8cDmN4FTxjSUMFGiuQpNOYXsGQU\naKwSFeCW9SFNM0XyZNSHZhvvAfNzHM7EdBhheHsWhi65RYrpbxWjfboBTqj6QsAfyuJV9uHrvXA2\nu8/tgLtt4NHHdEQaHqKSnL+zTdDOHcHktUqLAOYAheWiT/BZ00xFePVksrjHAsa/svwQmUkLV3A5\n2+bdSrKnwMnFKuvxcOyKQGro20aZFYkM6dDnjDKjpWX8o4+hSaxYA1n4A+zZRyZgJQ0bAAAAAElF\nTkSuQmCC\n",
"metadata": {}
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "Eq(tau, beta + alpha*gamma)",
"prompt_number": 144,
"outputs": [
{
"output_type": "pyout",
"prompt_number": 144,
"metadata": {},
"text": "True"
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "Eq(gamma, E(Y, T=0, M+1))",
"prompt_number": 140,
"outputs": [
{
"ename": "SyntaxError",
"evalue": "non-keyword arg after keyword arg (<ipython-input-140-f2322f7f8ff0>, line 1)",
"traceback": [
"\u001b[1;36m File \u001b[1;32m\"<ipython-input-140-f2322f7f8ff0>\"\u001b[1;36m, line \u001b[1;32m1\u001b[0m\n\u001b[1;33m Eq(gamma, E(Y, T=0, M+1))\u001b[0m\n\u001b[1;31mSyntaxError\u001b[0m\u001b[1;31m:\u001b[0m non-keyword arg after keyword arg\n"
],
"output_type": "pyerr"
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Discrete random variables alternatives"
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "T_group1 = DiscreteUniform('T_g1', [0])\nT_group2 = DiscreteUniform('T_g2', [1])",
"prompt_number": 145,
"outputs": [],
"language": "python",
"collapsed": false
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "Eq(tau,E(Y, T_group1=1) - E(Y, T_group2=0))",
"prompt_number": 146,
"outputs": [
{
"latex": "$$\\alpha \\gamma + \\beta = 0$$",
"text": "\\alpha⋅\\gamma + \\beta = 0",
"prompt_number": 146,
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAAGUAAAASBAMAAACwdQ2FAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nTkSuQmCC\n",
"metadata": {}
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "Eq(tau, beta + alpha*gamma)",
"prompt_number": 147,
"outputs": [
{
"output_type": "pyout",
"prompt_number": 147,
"metadata": {},
"text": "True"
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "Eq(E(Y, T=1) - E(Y, T=0), beta+alpha*gamma)",
"prompt_number": 114,
"outputs": [
{
"latex": "$$0 = \\alpha \\gamma + \\beta$$",
"text": "0 = \\alpha⋅\\gamma + \\beta",
"prompt_number": 114,
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAAGUAAAASBAMAAACwdQ2FAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEJmJdjLNVN0iZu+7\nq0QgoRR7AAABZUlEQVQoFY1QPUvDUBQ9zQcxsabFLopDs+hqTLsJGlQ6OHXTsVN07OrmpoJg0MXN\niFu7FEShW/QXRMRRyOLkIKLg6n35qjwDyRneu/fcc9697wKz7UWUh7ptkXgPc255zwU0A9oIYq/I\nU8leNaEfohpA+SzyKHaiUFwIPmoB9J/SHgl476JpQP/mPdZGCChnD1DqUSnrs3PeOQGuTMhfVBCd\nCAbTXIaVsdofPp+C3mXIPNcN627iiYvxeQs8SvMBhPAgJjKPDXSAJm2Cm02gnSyJGo1lmv89H0DN\ngMLtYNoHVleYeq1LB029f+84BoUy5UNgyofGdi0eRwgopNZY71OAFjsI6Wzse6+ANILQY/wENY88\nUdpOyNRTBdQxcUdYoI5/IQTQluU6UU8JnXpmPOyGxDW2XpJKdrUGnhC1MBIq9bzdbEb/zJQ5Ae+x\nczQcpXsJkQa0nCKILqewuTwnFTlOj5f1C8PrR48wZlipAAAAAElFTkSuQmCC\n",
"metadata": {}
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "---"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Not sure about this 'do' operator. It might be a bit unusual. "
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "#T = Normal(t, 0, 1)\n#M = Normal(m, 0, 1)\n#Y = Normal(y, 0, 1)",
"prompt_number": 85,
"outputs": [],
"language": "python",
"collapsed": false
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "Eq(E(Y, T=1) - E(Y, T=0), beta+alpha*gamma)",
"prompt_number": 92,
"outputs": [
{
"latex": "$$0 = \\alpha \\gamma + \\beta$$",
"text": "0 = \\alpha⋅\\gamma + \\beta",
"prompt_number": 92,
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAAGUAAAASBAMAAACwdQ2FAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n",
"metadata": {}
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "from sympy.stats import E",
"prompt_number": 98,
"outputs": [],
"language": "python",
"collapsed": false
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "E(Ut)",
"prompt_number": 100,
"outputs": [
{
"latex": "$$U_{T}$$",
"text": "U_T",
"prompt_number": 100,
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAABkAAAARBAMAAADalBo9AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIrvd72bNdolUmRCr\nRDJNlv04AAAApklEQVQIHWMQsncKYND/VsAAAf0TGBjYG6Achnwgg2sDjPcJyOCBcXi/A1k7YDyO\nf0BWLIzH/AHIWsAQckr/1PkAhv0KQN4BhtMM8QysFxjmBzAwMBZwFzAsYuAUYOh/wMDAIcC3gcGC\ngZeBoR+oEGQB918gwTBfgIHhIJDm/Q3isS1gePMASHMYgHgMTacaQBTTARAJA/xAsxHg/QMEm+GO\n/QkgDwARPCRQKsp1mwAAAABJRU5ErkJggg==\n",
"metadata": {}
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {},
"cell_type": "heading",
"source": "Graveyard",
"level": 2
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "Eq(m, t+mu*M)",
"prompt_number": 43,
"outputs": [
{
"latex": "$$m = M \\mu + t$$",
"text": "m = M⋅\\mu + t",
"prompt_number": 43,
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAAHEAAAASBAMAAACeMCwXAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n",
"metadata": {}
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "Eq(y, t+m+mu*Y)",
"prompt_number": 45,
"outputs": [
{
"latex": "$$y = Y \\mu + m + t$$",
"text": "y = Y⋅\\mu + m + t",
"prompt_number": 45,
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAAI8AAAASBAMAAACQtZA9AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\n11Su47fQ0r+MPTn+i/xYu/0j/xbfwpprUPhwWKsAAAAASUVORK5CYII=\n",
"metadata": {}
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {},
"cell_type": "markdown",
"source": "---"
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "pdf_pages[5]",
"prompt_number": 18,
"outputs": [
{
"output_type": "pyout",
"prompt_number": 18,
"metadata": {},
"png": 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lL+AWcQ5m2At+dubYC5mM35CyKEooqnDDiZo59sJcL66L3aM05HvKZXfqW5/T\n4OfM2No6Cj7K4QgzY8ZEOCrj/ityI8/SOiKeCTPSgpG4RP+IuSxZXofNHd73eVwmS5Q+LCrRLy2m\npQJq6xUGqlDpmRNNOuNFDwBVKPXLeruifUj675Ha2RHZ0bSaCVBum8ZWkBd+K/bCLynpvwdKjsg+\npLVMACq2AlCWyQu/E3vh15T03+MkE5lIJDq85NRSJBIdXjKRiUSiw0smMpFIdHjJRCYSiQ4vmchE\nItHhJROZSCQ6vGQiE4lEh5dMZCKR6PCSiUwkEh1eMpGJRKLDSyYykUh0eMlEJhKJDi+ZyEQi0eEl\nE5lIJDq8ZCITiUSHl0xkIpHo8JKJTCQSHV4ykYlEosNLJjKRSHR4yUQmEokOL5nIRCLR4SUTmUgk\nOrxkIhOJRIeXTGQikejw2uVERiVVVG2u9ca+GirpnTS9bbbX0E9jo6K37f48PUeLUVFDf1Kxdy83\nW5x6NoqMzmb7ecHCT9LTc6mpJr1U3qu5qbToU6V39kKJN5xxxk/8idOmmhpnFBo4Q0NraKDCT5w1\nUEDjbaMfNd5RaGigwAUaldlebLXEWn+MlYWo8AaN5ov7c1Xut+UDZ7xC4xxsU3ib+n2x/ttUDpd5\n70K/lkrL6+te+zsie8WAF/0D3zDgTPXaalSi0z/0EEzSLV5QAOHWlTqhH+vpAT/gLDzmyOwTju9I\noQLQPL+lOa3M/dZ83DBEkTW43eHeD7zgr6v9Wiot+jLtbyJTqFECesANwOqJDAXadKO+Qd3pRwk1\nnbwYXwBQgdPHQ3yMlUU1+AGgpPIT2vrsfAy4oqDGswD021vWg/6hs/Viv+ZLi75Sf/PVDiT6DqXb\nO+r14GvZ72lSaAAovOjObKnQoEeBQf9g6tX4STd06HSv/woA1OAEhYHeAPxAiRrjsUGFQf+gEmcA\nnf4BmKtCP8aWqEKNYWo7sgKuFjWhbYAUThgAlLjp66qMVPovVKFC444irF2gRIEeV93zW1MPvDgw\n1uO9CqPN5d4pzIfuuHYYXXHCCVMmGtwQXzOLepcUGhQY3ITn91gaS+xXVDrycdqLaz5S0RP11ee2\n+RfeYa9Mbapnr5F52/R4tUwD7/jTK1dqoMBPvCZWSvxp37yhNFsreFdJ0EDjDQ3Oo6dQ014U+Dl5\njwYajQZKuze0kq/l23413lawV4cwc8UGDc7Gyp/jtT7P5z9RaaDAK/4cI+O2Jh6cRg80cLL1Eq+Y\naJncR76G+WDaSXq4MlespiuXF2NFe2WC3p38Csu53LOxBH4FPcXlQi1HKq9nvb7cgaxjJ9x5oToz\nkZmPM94QTTqmLZXYUbjg3bz5c9wffeQqaPzUQDn+zOBPLbadAn/i3Wy7jD9fJB+QpFZqGw1ebRt/\nxvWYLLwZj/8M8+i3jXJsg98aeuDny7Uce8VGm+Q+8dVvnW0n6eHKr4UG9cwEdYLGH86vcdAzuU8y\nHPfTVDrn43Kk8nrWa3+nlgDMYf23u04xc+qiy841gMG7qULF11h0j78CVKDCCaW54sTYBXSH/GlE\niWLaq7deKPZs6yuuVJGCArB4SwUpFFCkALSo0YA9GdUdAeXsVusBNeM7q4oKPSRe8dF2G35uqbl2\nWO9balGR0j3KJLNx735zfuW0IcN5H7dEKnqg9nexHwA1aPBvdAs88a4df6h2+BYPc3od/68HfcM3\nMB94o2cOXM82NfQn6ukKzaJO6FChQoUeQHn3XXDOg/SjXWz2ao2KFVsm3QCcqGKmqLh3/1/LDW+I\nZYuPok/RDo/IqITCNz0A62++uEM3nFBMx3yU/rZZuyMBPVB0zEUVqpUf3h5wv5yS8i9er7dCJS64\nrj2iowKl/otXt0LN/RRCCsxvffxWtDgFk/mge8armWhX+F2h4trJlddXOqEBwP1UE/buv8DCZDOX\n4aSfNvgo+hzt7oiMSrzhhD9Jk8br8453dIcbKntrwpkZ5q/T7RdUojS/fk7+FPM/9lMxDXTd4wVq\nPCKiApc5K65WonKqtepminDaugJogvvgp6mmAfCysHXKV4sW5WiFalMi8YqNdllePth28roCGNLT\nuaR3/3+4ohy/rjIZ5DKc6aeNPoo+Q199kS5+eb8Vamy+YIo3vJkL9G94M79SlXiDxp9408Ab/oTG\nT/M70xnvOOPsfpUM/GjwilecccY7arv9DI0zXlGgwU9ovAeX7Rv8ibOxGbZzwRkX++untcLXSm2b\nGmeccYLGT5xcVIHfJd7wJ97tL5ujTY2f3i+mkzc2rnQr40GBM36aVRd1xqs6jDaf+8hrLx9cO1F8\n73gf+wyF/RnmDT9Nv7vIvd71rJ5NOefdeSYW55dXOvVxbaTyes5rWnQmijSeWFKBEsOvdEcQVXhD\nq7+t2SoSHUU7vEa2D9nlSY/85VQkEj1Fu7tGJnqmqEINQIW/BvNbRaLjSE4tfyuZu6QA+Pfo8VtF\nouNIJjKRSHR4yamlSCQ6vGQiE4lEh5dMZCKR6PCSiUwkEh1eMpGJRKLDSyYykUh0eMlEJhKJDi+Z\nyEQi0eElE5lIJDq8ZCITiUSHl0xkIpHo8JKJTCQSHV47m8hIUUXVEs6Z7n+YxpdE5P//49bowQ+6\neIbN5XzcUe/uJ6YfZ7x8JMrfWzubyADUaHK7vI+bR86i93uacbbuq7+qjffA1zOzj49uPj+PH+o1\nynmPHpqjGepZrh06QWHzo2j48fJs3Z+1+6J8ZgT3RvL52tlEpnsM6LNoadPJugseSnIfoLn+YP01\n+mYigvv/TKsrhnBi5QGyNuc8eliOFiLItVPp9o5HzvHj5dm6P2v3RfnMCO6N5NO1s4ls0ngyQJX/\nmDYq0PinneNeBwWkMirvvXf1xr+cLa++KZNpG1SQcv/6NjNl/kD6kLmprIIKW/I8KqmiwvgStEFl\n4KF3ShjHx+Vxqh2Vn2y6PBSJR6tyFNSN9k/bw1wBpKhwPTW1k/YkCqroH11eeE/8CHPjJc2RZ6Pw\nygY9YT3MlMyPrDDStG0/EnhZSjM8Oz4jv/x+sGPJWp8fFVMEXvRJ/+9QX/30k/iFM84aKPETlQZe\nx2fkmOfU/ERlnkv0hnrcC4WfGho4odDAqy1t36PAWQMVGhR4RQGFs7M11keBMwpTkm/7HQo13lCg\nwgX/zWTT8zwu84fxzDyHKHja0tiq15LnUYl31HjFH84nDQ1coFDgFRVK/NSAwgWVhhdVEXvltXBC\ngRMaPx+BTZNHDZw1cEK9NUdpXbd/2j7lYcyVBi6ovZ4a24l60vb8P5q8qIwnNsLZ8VKwPTfaOKMO\nxsvUEy/Ww1zJ/MiaIj2jZvoniWTKZ5jBFePT8yvoB5Mzvw/mR8UUgatr+9/E+NVzBPfa6RGZ7jCg\nA9C7oxrdYdCtPe1sx73eqUpDZfCEwel9gw7QLWo05pH2nbNl6jfo9DA+FDjTdosCLZQeMOAH/r21\niVwZ/Z/yJzRjq35LnkcderT6O/7B+QRQg173ekA/nSrZyG1UXqRpHns9oIPy8xHYdHnsAXQot+Yo\nrhvsN9s9v24oAdz0zfWUiyjsSePJP4150X3GExfhzHhJczSVBPQPnP382J7403qYKZkfWTbSVt+Y\ntqNIdDs96jfK4PL49P3y+2HKmdcH86NiisDV9fsfwC6fKbbTiQyYnmMUazqgjvfqFwAn90hY730J\nRRVV+IECHaB7fQttAVD2Y1xm2m5Ro8KVaig9eDbzZe6IMogu9EllB5CLivXKtODacaV4m4q8HxQ2\n5SioG+wPbAIArtNDg2d6Lpct3pN144XvuUlDXEIPGY/CkvmRBVxRm1O+tO0oEjbamdzTG73RW3C6\nN2T7IeiDmVHhRRD0YRTjvrTjiSyjzCVxqvWL/o7r9EO7977FoFvdYkAPcytEYst9u2Uev6HNEcRo\nwbOZL/PR6EKf+uyvlS4q1qtEfj4Sm3QC9A2dfeL2hhwldWe26x4Dat3O9lxOi55kMhpGn/pfoOBK\npB4lJfMjC7oHxkiZttdGkimnv+lv+pv7cWz0i8t3rm+yeUk/Z3GMu9LOJjJSUCippBKKalJQ8O9x\n6qhBDwR7/4Ci8WFmNVVQ9jlA9r2+mr9LfQWophrKs6WgqNYvUFRRDeg20zbQodM9oG+AsxkF4JUZ\nLY//Tu/8OKmOWgqjK3yfAH1FYVqsqEBLDdVjPRdV6lXQgkIFRSrIh7M55bFDQRUGKBSbc+Tq/l0Y\nmbPp5eEa95TZF/fk2H5Dfz/mBch6YiKcGy+48T1HDVU44bvft1NPhB5xJfMjCwBww3jsmfRPEMkY\nZcH0XLFmfDq/kn4own6dHxVTBDb6qf/9GHcneYqS6ItEJfq1J+BP9+Vt7VPW15fcawS/pnZ2RCb6\nPUQXYP11xE9QsXptw/qSe43gl5QckYm+QKRQ7ueiMZUo1j2ceH3JvUbwq0omMpFIdHjJqeWBZFYM\n7PJiq0j0lfqbr3ZAtEElahqCm35FIhF+qyOyx4B0nuVZeKk26+sL2rWXyL8KXrMvaM6XZeFLRtvz\nMED76tVUu53I1v8Gs+HXmg/DXOxdPo/GmqRwHs7XHgU6ykRBZzpTRSf6SRXVdMYiOOhpynl4L7ro\nrjq23Ad6famtWWTP6nYf9XvjkzFAn4hC2q7dTmQbOmRlyYcgcKa2HnrPTupZxtcKgx6yd/h3+odu\nMa6Uu6FP4DWfdJ/RDDTnLnTR3XXqBW8e0VYW2bNptD1q8nkiBuiTUUibtbuJbASmpFCbHLomLDmV\n4PElbHs+0GZE8EQtefiTCXCiEMFVslibRYxOAp9JMDyezR6gGrnbFsJ1k621N/qeQeREEXo4mBAN\nw8OFwtzy0By7ZQZdFFkde1B5IJmkD8I6aVRJOdbLqJciKBLXVga9NGV31VgLR5jfSpTBct0ImqKI\nYUcbwD1ZSJXf7w5KtD/tbCKjE3rd4hwsg7igwgn/2hzajjTTgl7RYaCwpFdirEUKwEm3qIn51qOC\nzrpFQQ1ArwBAZ5SRHb++Cluigs7o0I+ncVTpFudkGE/bT+hRURPVAl0wTCvpfH+CbBiN6/X0Fawm\nboL/jmrPp3Nq0cjP0Ojviero7ymjf/jeu5pej8Ttxv3jMuUmFxu5+esMBL3I9IFXh4vKp3VZb+IM\nR710ojroHaYt3n8b2+xY8/LmjzDHbLMZZEdWMILYKOD1Uzzy56woekeBkt4AKLrgXwa+OnuAotd9\nLlHa2UQGg3BJoTb6n3h0TVDSluDxJWlbAdCmGz/8ESQnwp/oVnehF5ZUwWBtcsCUCcnig3R8f8Js\nePa2LuqZ4DVZRA4X4YiDCdEwPFzIy20IebHt+r7n0UVe5GM/daj1zevFpA+ibCVRBRAf5w0D8Ykg\nOClYJ2grg16asjs71gIQj2MHT1b8DHIji0HuMBH/013gngRS5flq7VEBpb9rwfgsKwSm5JA9wCw2\nBVGtFCEzyQfa5O+KjurnwDa5KSYBpvi1QpBOhFKZA9qszOcC7GgmQ0P6NwcXsjWDHpmfbhl0kYu8\nQ0EFymlJuU6wNGmdfJ4SGM08xAcYUrBO5B/v/1wmzZ45YA9AKsggN7JWR3EHuCcEUOWATTPP0/hq\n7Wwii4Ap+YugM9iUyOIcviTBsKyqvwFsk/Hd1QpBOhFKxc/GY65McIgcFvoyYmqSv0Pvg5r3Q15q\nP3I94IYSP/wT5Uwf2Doz4J8NEB8Tadqn9UI9xzSZG2tLY6UOMjhfehWuaQu4JwJQ5aBBV9xop79d\n7mwi84ApEdQG4NE1sNiUoMTfM/iSf+eDdAAGw1KZj6zXUoC1mQAnBtDi4CoYMmgVDpjiIVlCOI8H\nkEmBNu9rpggqUVn4SoB7ySFygChCHwfj/c3ChbyarkeymJkZdFEAkTnjhFc6U2H7numDoA4XVQij\nUXbc8PglG2kIT0rbyqCXxuzyuKJxrIV2/RFmWvHHdGZkccidML8e7GgTuCeEVKXQoNFChRtOtMuj\nMllrGYjOaH/npbchDuYr0DB0xoseAKpQ6k9bw/C7Q3COr70dkYm+Wj4O5ivQMIM5rVHoP2jp3qhF\nB5QckXkyP6h3O+JkfXYGPBzMV6FhxnbR60+byASCc3zJRCYSiQ4vObUUiUSH164xPqRQTLffkYIa\nTzeoGB+Q8NgTQCpQbWWWbuWckoJyfts7w9mTKCpRrD/Z+RTvZz3a5m/kh+vlAhWgb6R0H945Pz6c\nw88VVciOgvu9uTf+x+uZ7ZFKfuM9uHZ8RJas5a/xZi7JVtmF0/erGT/UVNGZTgBADTV0MivOajrR\nefw5nWqqxr91v/m+qfB2yQrj85/O3KKWTeyKRt98333vqaCf5vmHxiLVVK3zfmx1niOxTJmYu5Ae\n9fIJrb7R2dx4Od2AWRjbFV5tPXWvNx/QQo88hi/iZeuuGGaJHJlYHh3DF+irH3Wef+Eten/GCa8a\nGqge3paaHmOPEmfz8PizhgZeNVCNLeIdBUrjw5+TV5vaOfu+2zaKyVo+fqhl7yffU+9RocIZhWnt\nbfJiyfuxVZubN7bM7F6/xFIvo0JtPDyZbJ1tr5RjVGMJDVT3evOoEZn2yFwfbWil4du7o/7cmMnY\nfkwMn//a4RHZtOofCUlAv6AIj1381fsAKcuuiNb58xwAT83ElLAryaa7xAsqUdg7nkvd4QUgt4gj\nOt6YWkrbCSkXbOQc4WO8STUhR3Dee6vgfO873eoWvUUy1v6yKPLv4I8YCKbVLEfC1GL35ngVfr8l\nvTwY9M4QEj6otBAZc+85Fdl78xlvItoEx/9geRoZXkSmR3y+SJAJw/KIejkzQuNspdwOrj6XbXdq\n7mgePJvDo4z4dazXPAljX9rZRBYxAlL9FWf7IY9X7wMnVGDW+YPnAARr5JJrLe59oW/6x7hkFh2g\nO6rQjHe+I30CuGspaMenXHgqqKIKJ0uzCrgbVPleZ31f8t5MX/amCn+S8L2PGQhTqyxHwtXK7OWY\nIQt9rDsM9Ce9UmOvhJV0pguKieahO5RUACgzS5dz3ti8pqQMR52ICRXpOFrokcmq3RaxPBDt50Zo\n+DXBczvS+ny2zxGVJMvm8AgXZ9vWGUAZ5cQnYexKO5vIwlX/uo0vg+seV7s42F+9b9aK6Ru7zp/n\nAPjdkV5uvwL2nqZRJ3wfJwXd4maXz8Y1TUthOxHlwmnQLfppkW7M3TBPGD9x5IikzVnvqRxtUmEn\ntqRmzEDQg2uV4Ui4WvxejlcR9bHlS1gv9F/xF7Ro7CTX6R8IsUW3uYXLvDdRXmNShqNOxISKZBzN\n9YhPs7C95LE8fB/zIzTKFsPtYOsz2Tb++EyNDJvDES5MHd/rhidh7E17m8gWGAHj6aU5cfJX71/R\nuJOkZJ0/zwGYlR7wQhWAwUwBNW66m067dIcck91ryWsnpFyELfXoZ6kCgbfrfquNvUdtQUGgCgVK\n9ls1ZCAESjgSS3tXMkMCKyWge33FN3+P7tCZ3ygB4IqaFu76n/OVIWU46gRPfUjtLPaI3RaxPKL9\n2Xwx3BeOvzHwtYNsB0yNLJsjjML3OkfC2Jn2NpGt4Un81Xzs/dX7PYbp5CnVIgcgOf0xNzS0usOg\nO4Bq9LojRSVO9pc0pma2pX7hd9Zy5re95QP5Be8BlGNu9IvJmGGvRcSwkIEQah7HHO29kxlS2Cko\nhEQOVMB9tDtUARsjzduMrwwpw1En1tJMVp9acSwP1qs4X2kEM8SLhWyb6FZ8Cjiv7yO8fLp2NpF5\nq/57KPKOskihHG8t0P14YhCt3jffedw6/ywHwH0EenInYQqlOWop6IwXgEqccaY3vOkOL+hIUY3O\nTJvhsZZr6e8i6oJHubAR1Rgv1l5RYLxAH3A3qKGKzvieIUcg9t76Dt97AMGxD5UoMV30jY8UPQaC\nZTqwHAm/DrOX5VXEfTzeG+b3MhqqqaATrubCs6KKKjrhDT0pnOgE84GiGqWp+R58MHlfbV7xtzEp\nw1EnGOpDNI5me+SPMVtR25bl4eV/doRG3JeE25HWx3/hsj166DE1smwOR5ix263XHAnjkyeFdfrq\nn00f9UI53lxwZ22V3iIAlbvNAxVK+/em2y+y7RcfuaVk2Xvnb1TqId4/rA+L0e+tPfn423EeFtF0\ny0s13lByjNcRvd7ZEdl9ogu4X+62TOfp74nQfe5U1V2MpQob76fPWBw+cp/1svf8b3yP8v5R0sPo\n97aepAq7hC8D+CqWx2/o9S+xaHzrYhvWRoE691iPZ7b7oAwc2vuPxr7XC9DAV7A8fk+vf4mJTCQS\n/d76JU4tRSLR7y2ZyEQi0eF1sIlsXGe2fd+TvFH7XHeW9XZTfj4SXbBedGW/rCnn2xU9Sus/OVvH\n0Odp9xNZBJJh8CMfxZ4stJcvGWOGsK7mGlAKV8ZODKtAK6wfG9AtfHQb5N9DvtAvm9A7yb3pz57Y\ntuX987R+pK7QemSUPA7uTo3Lqc1HylIQfM3t+2B7s6p0q9NHpC7XXPO8Hq5MvaE+44f37PQ1rfHR\nrZTf1op+qVeW42P4yHS7Rtvy/nlaP1IXlGQ+G+nMGPpi7WwiS1Ayf6QgmQhtkt0XomMy8BQLRvEx\nJr7NGPqSAdCYckFNH63iMEMskCdEvXBAmMkyu28G5hJnwvdlpjUvuiRHecBNaXORPjdywt+k7Wcx\nQQn8h8MysRmPWw6BNEz2gwg5++sgPXZvgQh6E43RZOs0zlLIEA/RWR6p1rd/ZOPyPA0zvx7/syft\nbCJjUDIRSCZBybD7AujJpAh+EpQJMCbOZgh9yQNobDnfGw+tEmKGAm941EsChPEsx/tmYS5JJkJf\ncq15tW3EXo7ilv1WOGCRh79J22fRO2kPBnZ5bE2CqYmBNAkIR2VGAWd/HaRn3Hui2tnzsxhCg2zO\nzPiJIUOzEJ2ZkRpE/u/YuEJPE+jRSvzPbrSziSxByfynBCQToWQy+yz0xLMcw098MEqAMQls+tCX\nGQDNWC6o6aNVHGYoBfIkqBcOCDNZZvbNwlziTPi+LLbWB1ilKUdcy7YVHljk4W/S9nkQUOR3ZJeH\nBKWYmghIk4Bw2FHA2V8H6RlLA/oHzp49b9yE0CAvwmmchZChLERnYaT6kb/k4xo9DTO/Hv+zJ+1s\nIsMMSoZBm+T3BdCTSRH8hAOjRDYj6EsWQBOWmxZke9CUADMU+ZpBvXDRRsTcNTCXNBOML3xrccRu\nb9Kya2UGWGTKs+0n6J3Y79Auj62xW80zCsogt3x/81vzWJy1PTd4Jf0sOqyO1/I0fhLI0CqIDjNS\nI99ycSWeOq3E/+xFu5vIZlAyc4e28b4Z6MnqMnUCfckiTaJydYxWmcMMrUW9LOUgA3NJopxHHkVa\nC3FxrcwBi9RM+0s96NnlI/W36m/6m/6muyC3fH8zW2exOKt6jgoEdBIviw4a5LVsx89/jCBD6/Kf\njlTWNw7kE3nq+7wZ//OV2t1EhgAlE4JkEkSKKZ/uwy1A/ICDp6CNwChF2p4poSaaVxZA48pNNUOQ\njcMMcUCeCPUyeRGjcahBz+6bgbl4+BeHbgmOIFiLf4zReVilweaIwdC4VjhgkY+/SdsHi96JIE3w\n7eKfWUhQnPFRDkjDgnDcSPEgNQyEKNMnCaQHoIYqnPDd2fPHjQcN8iM04wf/XQgZykN05kdqEPnf\nZ+KKPTUxrcf/7Epfjd/4XV55zNDnQ1M+hjw6UvvPzS1n/RlPb3pO5Hvx9DGvPR6R/XJawAx9KjTl\n48ijQ7X/3Nxy1oudrDxYjnwvnj5EQr/4BC0Bcz4TmvLV8J7Pbv+5uY2tj+/38Qzv+cj35OlDopWJ\nTCQSHV1yaikSiQ4vmchEItHh9VtMZNxFTW+N2c6oBiKRaKt+i4mMvZ3Rbdsb1UAkEm3UziaygEAQ\nkgoKfr/dmqUbOEIAx0xg1vpHfAORSLR37Wwiw7TC/4+EVGBW6af7LTmApRvA5xfwzIRzQhlIKBAi\nkWjP2tlENq3wxz/4pAK3Sj/dD2Ba98/TDXxCAMNM8Nf6O66Fqy0Sifavv/lqB1LpAUAJUAUE9IqB\n369f6ITTeAezqxPfO05K91BUB/QrZW8WdGyFErccZUAkEu1TO5zIAADteNdxQIIt+P1U6xeAGvxP\nx2O3zAlhTQD0jSpUVBqCU235TXmuxa4f/yoSiYDdnVpOK/xD9sG0Sj+zf1r3/x84ugE5PkLHMRPM\nWv+UMjDVfpcrZSLR3nWAJUr0puUGCZFINKOdHZGx+qVW6YtEosdr90dkv9oqfZFI9HjtfiITiUSi\nJR3h1FIkEolmJROZSCQ6vGQiE4lEh5dMZCKR6PCSiUwkEh1eMpGJRKLDSyYykUh0eMlEJhKJDi+Z\nyEQi0eElE5lIJDq8ZCITiUSHl0xkIpHo8JKJTCQSHV4ykYlEosNLJjKRSHR4yUQmEokOL5nIRCLR\n4SUTmUgkOrxkIhOJRIeXTGQikejwkolMJBIdXjucyKikEzX8872pWWmjojO90RtVwdZXeqPznA16\nI01nAKAz/ck/T9P3LF/qgfmo6J10GAlbbtGXtd5OEY4tPze6uzLCj40V0W19ajw/HpyVz+h/0Rrt\nbiKjMyp0UHgPJxxq6EzvuKyzolv9A0CJ2reAARVafZ2p555prgDwQ/Tk/Z0v9TDpFrdVBZd9Wevt\naWPLn60Tu3VNdCdsUmY8nNitoq+U3tULJTTOGhp4g4aK9r5Bb7D1hrNvA2ecoVEt1DLtZ/cXeP/0\nrKzw+4GteRHivCXjn+/f82um4+ErRoC8ll5/89UTaaQeNwwAgA4VFPoPWXvBCQ1+AABVaBGeaFao\nAFx1DwBUogKmIxAq0KDAVfekUKPAgJvuASpxgqIzoH/4pQAaj/5uugPGOvoH1SjR6eioJrLIlA1L\neDVLFAAG3VGBEkCHAg2ADgM6zxc1bfWf0D55C8x6F0ToZcqWDPNmY2oAvKCGGnPAxNmgxw0NOt1m\ns2BaImWy2cct+v75Nv34bW/0/tF31HeBP2nGs+PBb/+u/hc9RV89k+ZeeE+/97YekWnggj9RaGjg\nHB7Z4IJXFFB4R62BM35CocAJGmcNFLiMZfEnXjXQ4E+UGijH7aMVr9RorcAFFw0oXKDRoISCRhP5\nFVpkyoYlnN8o8Wr+KvCKGv8bvGpo4ISz50vltgbtmhIL3oURnhPfgrzZWqPNMwpU+BOXTJxv5qi4\nmMlCAY0zGg1cxhEQ9ZTnX2Dzv5ni18AFP6GgoHHKRhb4w2Q8Nx789u/qf3k9Zb74agcybp2mIRVs\n3T6RKYwDUaHxJzLU9q8z3lDCDjdMp7bT5HEeP7D+dq+NMzQqVNZaNVrCGdrWu0R+MRbDsmyJ6eM3\nfbDO5uNWQ0EZTyePva1Ry9qWzHgXRhiXDPPG18IZGmUmCoVynFxms/DTK5+0mPhnbHrT/TTpnsMx\nxPSdq+t5MzcemPY39r+8nvHa26klAIAaVPg3enjA8WZPLWr8QONOlAAAJYCSpnc1kD2JfUEz/m41\nI3vKqlsaLwADwOS/WmExLJttU/d0Q0MvOKEF8IIKrwB6fA/sc1sx2yJWlgzzxqvFCRU6LgrdA+gW\ns+B6Xi236NkcZXsz6vO5uqE3c+OB07b+Fz1Bu/vVEqAGpf6mBzpT+QBzL1DE/1bV6Va3+of+lh+0\nVOIdhf4RfyRI8bdDLP+8n7O4usQVBWoUugVQ4Bv+gr9iCH6N47duVC7CIG+8FIBhPorlLCy1OOPf\nwhSU1ky8WTGJ8e1vvb1D9CjtbiKjCmcoeqM3NLozd+p8YHjoFj3OeIk2XzFM36N0xm16l7RUj5fH\nk3uFVPCj+xXT924JLNyykLO4soRu0eJi2mhQ605f8SPwht+6VYqtHeYtkvG4xIDbQpzLWVhqUWWj\nu2EYb7uhgv0KS2vG3uTHA29lS/+LnqOvPrcNX1D4077501yF+BPKXMv6Expv4bWZjJ0Gb/gTbyg1\n0JgrT294h8ZPc82jxE+cccbFXMQf352h8Y4GjSmr8IZXs+dPc7XtHRdcUGhMpTRQm/o/UbvtKPEG\nPdbzIgwspmVzJayFevoZBGdzufqC0vPF2xrlZGxpxjvjoYmQKxnmzat1hjbb38zley6KN3MxfTkL\nLp6oxcS/qZdtllDiJy444zz+0JNGZsuzvubHA5+fLf0vr+e89njjtigjKlDonmoUczf1fpFvZ5w0\nfdyOSHSPdnmxX5TRBQW+odJ//WpHRKJ9SY7IDiRz0+VVf+w24Wd4VqGGQrfy4r1I9GDJRCYSiQ6v\n3f1qKRKJRFslE5lIJDq8ZCITiUSHl0xkIpHo8JKJTCQSHV4ykYlEosNLJjKRSHR4yUQmEokOL5nI\nRCLR4bWztZakPAzdoLsPmJpvo3sEttGzWRpC2J379xjTZ+jZeTGtKCjdjv/GWz8znsf10lH7+3na\n3xFZjfExcAVOAL3fb4gqOmeQijVmkI1pm3lqlrdniSK7tP9DsU4xzfm+3f7aJzbe82RHW+e8WOJD\nMlGf2bZyRLWPaL6fo5G3rU+C0rNjeLXFpeeAHuZRdzubyHSPAb1udatvuAH49gFjA9hnDuoe899k\naZt1tqzZo7t5m0v7M+2ulo1pzvft9usHl0vqzOblHqupvk3ZifudHQcfbHO+n5kWt/XJtxlL92kp\n3sf0wSdoZxPZJCqpROdONKmigkpSVFI1YoapAKgct5sS0TcUf2JKpV9urGWsjja9k1uzt0DjygXP\nGbd7bHnl10zaruyzqoup7GQziDX81p68U6H3rty01bNh7Hu+J/Z9u3F7fl2X5TD7fH7W9U6YOS9v\nLi9RbsejAypGz4x/WCoRXKrIjbVMm16fF3FvRuMm7ZkiLJmOPL+/uJ6YiyU3hnN+5nqdjXdsd/o3\nM/L3pz1OZAVVqFHoHsAZoILOusUZI0h4PHSfDqwvqHCiP+isWxThs8k50QUDejN8Cq/WmSrd4kT1\n1AIV9IoOA53t8DmhN35MCrqWat3iTCqw6++vdIuaxu+40/h3YPMctOpr9O5MJ/SoqAl992Oy3hn7\ngYcml+jQG/uTXf8D5DxyW8csKz/7aX689pd7x2+x9nw42RylHxtF7yhQ0hsARRf8y8RuXMLPSF5M\nm0EfuujTfUnP+P2c7aU4X1xPZGPJjuHUT9ND2V7nYlL0ExVA4wP1ciN/d9rjRGYfK2sOoMcPRYda\n38ZD9+nAWnfo0erv+Ad0gG6XDoSpQa97PZiHSzRTLW0eZat/4GwP2htzMbUb9+oOQEOlT//39gBA\nC6CHcnbD1nUL6Kt5IMj49J7S2TTt2lbDVtAB6NHrAR2U77sfk3fCYew7D337egCo9uyGH6/JI1N3\nyrLug+wz+VnfO0HmWs8Hm5cot2OdFgVaKD1gwA/8+9huXEIPq07BuDb9sWGid/nxx03SM34/s73k\nReQylfRELpaZMcz4acZSptcz8X5DgxLf9MzI35929qullY9y7lBTgUwitZnqqAKwhPVT8H9R4mq5\nYV+gBXQ/DT1S+oVOOEHhL6FRUuPgsb8hzXszllLj0VJiM2o1iNL3zrVRg/uVTPlHY5OHAJSdIkvc\nPJ9dS5FHY13m97E0Pwzucb53GNsqPIqMrLao0eFKNaA74uwGJbBOXJuB7Sh6bl+anzByvpfiTIXi\nY5kZw5EN20N0mev1OF490BW1++01P/L3pD0ekQHQvRvAesANJX7McFFbDLrV7eK3bx/80pPUosL7\ncaCPnqNTU61f9Hdck8eAxceB894ogE6AvqED6BTZ7Bef3hO30ae/Xnn2y8hD952f+WAlUeaOcpP8\n3NE7UZ3E76iEvpmnFFU5u1GJFcq0OdeH60abWuqlJWViWRjDQcmph+Z7PYqXCgwYyGU+GPl7/R1z\nZxMZKSiU04eIFJS5anXCK52pANBSQzUUxkubimoq9BWKaqqin7ZL3xYA6CsKU66Ka1FDFU74PrWp\nrwBNV5k6atCb0uG9R+MeGE8UFCrcOG/QUUMVnfEdQIeCKgxQ+LeTzbHdoFUvjsk2KVRQpJzvQUx/\nmHw5+4X1cLT/AkUV1YBuA7tuePpRdtSgn7IM+NnHLclPsH+pdwLbkw++375VrxY63QP6BuTsuhJT\n1P6/4Vijmm/T2Q6in0ZRuC/oGb+fM71URB4g0xNsLLkxzPppemim19N4G1zQ4YoLNezIf9/nRf8D\noK7pjBc9AFSh1E86T6c3/ZEbPUQi0ZdqZ0dkrAZzfKI2PcZ+m4q9HjKLRKJlHeCIbFz4AaB/1tOD\nRvvPXyojEomeo0NMZCKRSDSnI5xaikQi0ax2NpGRoopf3vMpbac3MpS0+of8OyJ92nW50G9ST4zi\nQ301epbz77k5WvbMLsUq5sbk88bIw+IIcuiWZC37v+/YfO1sIoOlX3xkAMdMgTW26ATl7lraQLX4\nSKQPm7AZisJ55l3eTkGvVFFFmiqq6DI/TY05++BUw3MpsjmiVcuY15VaqNFgWvxUgFn89ogxst3P\nOxTnsECJi/WgxOtzYvtc7WwiM/SLDh9bdx/fSrHGVqVb/SOusYpacX+kj1MUcej3hrZK/V23GNDq\nVre4LdwdP+bsAz3Fcynyfid3jbFaV2q+hu7xgtLcA1/p70wmPjxGtvu5XWkOdT8tpgKoQImW+Znr\n6eP/0drZRDYpZR8sreRPORIxxYFfwz/tQeEzGDiqRcgXSL0x7xwrIiBchHQDjmKRYylMRAKAlKES\n+BEXVKbUC2s5Olry27LEB1/j78KVWdLC/krsbKCgiv7giREsV2OqWeRYCkHWU1pEiRoDFSa/hlbi\n0SUUU6o0+ZwypEzflFwNvzXdYaASoBq35RE6Tz5xJ8/j/0c6yNhqtF9NJfLex71mWSez44zpZ6BE\ngWSK3kp12YN2OpHFlIDllfwJRyKhOKRr+CNbmdY9OoPhCzhWAEu6mCgEJ492EdANHL8gE43HUhj9\noXcUABpUQGD3ggon/NcJ9QIRbQM+4SDIxE9/SjE3uJTjUpb0dhcmY/+T1D4YmkPA9TiFnjH1eVpE\ngRLj0XpNJ3Q40xkKPTXjUiOUdIlKNehxphq9IUdM5e2+wO7PaHq9oaEaLUti3UA+oQYKHZ0BqlFQ\nBeDVa3XcDzr5JWe9jz11+cyMs8CbEtMUXaKb+vre2PainU5kCftgcSU/Yo5EQnFAuobf2oLCoNvp\ng8tTLTy+gONbNAyBYSoVUBWcnwG/gI/GYykYm+O6u1bfENIaxrb+25h6AUS0DROt9dVmQv8b5u68\nKntPXeSvbvU/sQSFlKvhcz08L0Pbk38ZWsS4InDAAIWrHnAD0KFGSxUK3Y3Wg1I3PaBAqwcU5mio\nQ43W2+fZTXJxRY2eB0qvJ5+Mi3v0YNZMVuipwOBaNYt/BrRByTnv417zWCeZcear0AN6E/kAZrH/\nNqrLPrTTiWyU961ToAN0r29Q8CgTbiW/fgFwchcx4/ek4i1AbItv3R/I5u8Siiqq8MP7C0kpRd5l\nVs+Kgs8y4KJJPzpX76J6zm6yL7JlfWUy4cddIn9lLJMxUkFWUr/8HuS8RFRfcT6QOeXVE8GhwoBS\nX3Vv6BIlWqYU9DBOHa78uM9stTWYaLv5q4TJGOHGQ412OhnUNyjdj6futtVxaup0F5XMep/66fKZ\nGWexepRU6W6ur1fFthvteiILqA0LK/ljakNKcWDoFctUAF6OFZClDzBUBddq6f29QKMYpXtgRKvM\n2OX3uS8D6+sCzSD6WAclcv4uESO8HsxG4NfnaREVWqoAKu1Rxk2346Jr3Y6xkgpL0XSa2VLlyhsL\n09apRpG2l82EizsXw6TCeHC13pRoqZ5ana5SURmVzHofepLN5xxxozcL/mxf3xnbbrSziczQL0pE\n7IPllfz425AjkVIcUnqFs4UeihqvMxmqBf39xBcIqAYRgcFSCDyqQkgc8PkFuGa4BBNLwelmEEOp\n3cJyHSLqxURhsNyEydcszYAKqlFHH4l39y7IvjI5yxEjApqDx/XwI/C4FH4ueVqE/QhNH78WNVXU\noMeVajphQOX9SjdOQ+O/RVR+tGCOyGyN9+Anlgp1tAY32L+afHLDiWoU+gqgR0E1FEq43wNvOBmv\n/JJz3oeeuHz+XW6cWcS6ogsqAD0G3VOFBsrsuy+23UiWKIkWRdXvsQ6VCqiFU8mdZGLZ0zts7iS2\n+7SzIzLR/pS9gvTrqVyaxnaTifLx09huYrvPfzkiE82Lit/lQbBLke4nE4/3ZD+x3em/TGQikejo\nklNLkUh0eMlEJhKJDq9DTmSPf+rx43Alz0PmfK62ZYTU9EzyO1v7IA7I82IVeuczcvJM7cWP/eiA\nExkVqMzNlQli5ANYlMfhSrKWGNiOH9VjsvMeWrN3EL2vrH8HwIUaVLrFCRUyk8d8dDFCaQtKKNIC\neue+bHpic/LZzDRSuVUZD2xj5XjZjfQBXzhDsdsrnO+2+fYw77KWeK/NvuZBravQ2vTXXNu8H+sz\nMpbEGdV90YUtjVZQGqvVWi9MrfdH5jPOGp+TR/Xdaq8avKF8chsrx8teXrs7IpvHl5htSvfu8DqG\nsZjyPgwlxdmMOBzl/gUiAErltTghb2KwkAf2YeEtIeBHgUWtGH981NACBmj0iMP+mDacNfOXjzaK\nsCyFy/JmOI2PQKpQoIzzFHrBZydEKGEBJcQjnCbl0Ttcjyf9GZf5A0HG45xwOWPiLOKeS+zFaKVy\n4eLJgJs73kxLp5gkC3wqJyLvCBIKRpCPxMqM1Xi87EhfPZMy3zZnNCjwihoFXjXG73oUaDRwQokG\nFw3UqFCZLTUuGqjwExUKPeJuCpyNtRMKXKJWSrxDocYbClS4oMAbag28QmmgwBmFsXBCoYFX867y\nv31R4h01XvGHK2+PT5LyUPipgRI/UU0teZZ+okLp2VSm9TquYz1yW08ocEITtmGs/USFctweWjIe\nXlCiTv3QcBlhY7fbTJ0KF5z8sijwigIKZ9+qq20zPO6Nj31e02OxtFacRz0uhq9RJHXjHv9vMv3p\nl/nDZM1k3M8J23eFPw7sftePU885ey5bbpv9K/MJKaFQ4E8bb1LatZiM1H/ETw0oXFBFoyEcY8xY\n5cbLfl67OyKbw5cYWMtgqQE9h29JYChXPei/RtN3hxYFWig9YMAPPcDhSgJYDSbkDQMxmTA6+Ieg\n/KgU8DPSUDnEjQdOWcYATR5x2B/XhrU26FZ30wrEwNJ45NCh1rfUDwDzAJcA2mMWE3cx4mgE9yRQ\nJg4HFDMduAUzeYSTUwa9E/c4/j3bn+Go+E92PaQDQLXI9l00bib50KLJjv0/h1ZKcFNRZqBQordt\npKUTTJIdVf/kE3n9HIb5ZMcqM172o91NZLP4Eg/Wom8oeHwLD0NJ1KJGhSvVUFN7dp8Hq7HImwzE\nZKKZTeXtjhnoSe4e6gicksH1+BCeLPbHsxbgkHxLHQoqUOK64AcfSy4+t90H98RezAKUsiihDMIp\nKpND74Q9zvufjIpMxvls81HZfpzsePYYtNI8ZMnztIp9S1v0leGqDfMlvG3Z8bIH7W4im8WXeLAW\naiYQHSJ8SwpDAdJflvSIKryB+yHbg9VMyBv85xmICQe3uQd64uP4srgeBke0ZI39LVcPuKHED4Zv\ntQbgkovPbXfopdTqEr6IX/m3BnpU5fZFPc76z4+KVRmvef/8frR2/qO1x6CVvL+YX0OpxE23usWL\nyW7i2xzo6SOaGS870O4msll8iQ9rKVAALL4lhKFMH4j3pFs7dLofj9oi0I4Hq7HIm/+QQkwmjE4C\nt6l9qI0tPSJrGMTN6E0ATpnBAE0eYUixPw7oYyFIHTXop+2RpTNOeKXzjB9ZgEsO2hMgjiZwTwRl\nyuCApjxxKKG0FptHBr2T6fG0f5hRMWWTyziTs2DcOHsOrTTZ+e8mjBKLVnJ/vceX1anCxXhcAnQ2\nYyqAUwUtRiMVQEsN1WMEDKTKxJYZq9x42Yl+o7WWx8aUPF50xoseAKrMCbRINKN9j5f9HZE9SUfH\nlDxBgzkRUtjlyYJoZ9r1ePltjsiOjil5hqhEAaDf51UP0d605/Hy20xkIpHo19Vvc2opEol+Xf1y\nE9nz6RNhC9Nyjy+OunD/7l/354wUFePyoTB6qg35YlyQVsX2xz5bNzY+3qOkluAFX8fRyEf3GALJ\nV+mXm8jwSI7Fuha8mw+3MwMeRBkoAar3eBUwMyXUyHxoFvJR4YSU/dDoG4Darj+8IG317P27JMY7\nquhM5mHH1FBDJ7vGtqaTWZNo/tJ9fBMyo42jdJkJsnryZXMfEkiOp19uIvPuJ/uUFqL2vm02t71G\nIhp/R9rhJViwN+PO9tFsPvQVre7CBTmk7LKbXo8Lfnp9Cyd1s+Rm1djIlBpg7mukCkpf9QtOACkU\n+qZfULm/AEDf5iFCuts8Skv9fXySqm51ixuzemHVNJTNQaVbvctH767TDicyS0wAFeO/ORKEZT5M\n24rUTmR7BQMhpTfYFpLD8skD845hTFgfC44iMEMZ8O1mORhGA35SAXPE4CgaWZ4HE1VA8ih44gFH\nnnAZYPcy3As/ZzH5Ycqgl6GQylAwH8MG2bV/PFxxLp9hjzp5E8d0Ujhm62RHxCkaGwETLmWtpGwR\nvw8S3zNMEJs5L9NTfHPRhcwMn0AS9EnBj8Md6qtXrad8A4+pUKPAT5QBQYBjPkzbzqhH+gTHa1jH\nQPCYDRFrwaMGGCoVLlAoHKeBYUw4H10EHkVghjLg+5ThYHhxjcSCImZSeDYXonLUjYyv/zvnVRqf\n73PKVAi4FzZnLPlhzIefoSiO8b+QkzFlCW8444zzyCQLWRSGSfI2n8+4R0OmhLF0miyi0kCDP0c+\nnvtLYySwZEddwbNFPPJJbvxGnnmZ87klJr58dDEzYyKQRKPDjogcVWM/r70dkflMhW9oUOKbHtff\npyQIx3zoMOgW0D/slQeO14BVDATLbEhYC9FhOTXoda8H73noKVXA+ugRCTyKAEsZSH3PczBcy9C9\nHkImRWhzPiqPusH6in/lvGLia9i9KuZeBDljyA8mg36GQirDwCxtdqfUnf6hf+gfZgvPopjJZ9qj\nrK6AvacKAP6KCqfor+BEn2WtMGwRrw8y45dhgkyZ8zNt4puNLmBmWAJJODrciIjytj/tbSLzmAR6\nwBX1DAkidyUjshNpiYHgmA0LhAaoubUCiY8uApYi4H08U58yHIz5/AUlV0Vly3O+Rl5F8fF7jbzT\nET9nDPnBKMrQnT9i5CPN5VOtWf2hB7zQiIgaqEGnb/ovAP0f7V/c75EMVYNni5it7PhNmSBx5kym\nvfj46LKEjXm+CEvV2If2NpF5TAIqMGCgev16first2Rox9MiA8ExG5ZYC/36TvUjWKQIRD5tohnk\nmBTro8r5Ok/zmN/rH1uWaZ2Y4LCRs5C7apOJdCafQY/mfgWkApVudYdBd3a5zg3/Y/sX49Usa2U9\nWyRZZpewL+Y+LV50WZ7HzOh4FlXjMdrZROYxFRpc0OGKCzVZEoRhPgAANVThhO/juv2AbRBzL2YZ\nCI7ZELEMHDXgD8u3KEzd6ck9HGNCoYLCfwmIBJYiwFEGEp/yHIy5/MU2l6L6e8tH6DhffQIGE1+b\n2VuE3As/Z55FS3CwvAmXoYWIAfRUmJ8JSoO5VnTimCTGejafUY8G44ZKKJQGE1VSQWe8AHhBQ4pK\nlPjfT3+Zk7/46M4bdTm2iGNUMOwUngnisy+mTLv4/i4XHf42ZGZMBBKGL1J4ESRUjR3pqy/SPehH\ngtkHZWx7gMXTfT2Pl6tR4fTVvuzT122tQj3r4R+5cQPl73E/Zvg/a9z/GBx53fPa2RHZ3cozqPbH\nvdg1RWAXvm5qVfd4yi0B+XGje/+Su/sxw/1FFXaIg/6V9UssGh9/QcrRxvbHvdgzRWAfvm5rlQrU\n+uEA5vvHDSmUe+Ta/8r6JSYykUj0e+tXObUUiUS/sWQiE4lEh9cvN5HNwUiei9x5PkCIafPpOJh9\nYIqsN9Fqv4/FPxfbWqjN1wF5Uk+f6cvXxzmv3U1kHyRBLcFIVt+Z7C35XQ/aeT5AKPEu1+a2PM6W\nns3Zvf11J76oQOndx17i9YNeZWJbhtos98DjNBdN5Okzffm00X2PdjeRfZCJNAsj2YT4cX6sBO08\nHyCUejeDg9mWx2zpxaju7a+78EW6NytXAVCBEm3mt+qPIW3WQG2We+BxmovG8/SZvnxKnB/Qziay\nCUZi8T1qBMyEkJ4ceMeHkaRlI+iPd1oR4098KEoAlkkwNXm0ie91Hs/iw2rGEvPAojBLnhX74Z7B\n56S5iRAwTGYS5E6C1Qk98WFAVVzXszLii7xejjM8g4uZbskozaOYs/GsBfbE7blxlEPazPRANuu5\n/sxBlWZRSLYOO+JVxnam7Tm4VTR2i4+eMz1LO5vI7K2Nit5RADihAnCmSrc4UQ1QQWfdoiALrqOC\nzujQU3Lo65elCwa7kmwsWWMc6q/oMNAZwEm3qMdHsnpmzkkboz9nUkGdWJ7XuKDCiZRvx3h3xrhA\n15QI7E3tnNCjchGHN4BSbX1x3nDTQOQpndCb9l1pLzN+zoKs+9Gn7Yxx/OFl3mY4tOL1coPK7fP8\nSkQlOgzmS6tD6a8IZOPhsqmi2HLt/Yugz6f+memBdGxmPLD9GY8rL/vO2xTsnRnv4WjIjNmgbePt\n2A8lvQFQdMG/zEau6PU5tx9/VDubyCYYie5gltmOIBcP0pMCTix6BMrASLw9Y1kfYRIheRzgJsK7\njPdpm3Ix/MYBcjJoE9/rEM9i0TIhrGYqMQssCrNk3rZwi309gIuPz/H3eVsiBEyYGR65E2F1onam\nOPAPPqLHRwgZKxM6aOzlVt84qA+jQg/ox7V+eoCKbphNkTbrgD1Re6bv/iGPtMn0AAffme/PPFQp\ni0KK6wQj3h8N/JgN2rZ9msCtuMipgNLf9b7WyRjtbCIbRQrAFU1yEDuyqhLITRbX4srmAS0OcJNg\nSgL8TA5vsow2Gbwavh0eVrMWWGS9C+4/D2pHp2eRpxkEjFeeQ+4kLSY1ddxLLsNp310xLUvOQ31i\n9Sip0l0MtWHjWQHsuRNpw/UAB9+Z7881UKU4x7N4KZ21nbTtextihnKR1/MA76/ULicy1OabqfYv\n5RpIDwfeyaFHXNk8cscCbhhMSb3UxjLaxEMLRXY4WM0mVEpyOpvUrucscwiYKDMMcmedJ0F5hxBK\nrOgeML3MQn3Y6zG9WYMZrYVM41kH7LkHaZOJO4lvsT+X20jbWltnqZznbYQZytTUV9xop79d7m8i\nc9gXb/XcBOlhwTsWPYJ+hJHYPbZsBGhx8BoPcBNhSowfBguU4k1GBMs/e0iYCUGTeO3hWUKITgyr\nKdYAi/wsxcgcL4IAnwMOwsIhYMLMMMidBKsTtDPF4feShxBykCGXq5s5UbymUB8ECCZSdEEFoMeg\ne6rQQAUTXRrPKmBPjLSZoDa4ziBt2B7wUUdp1rn+XIAq8SikGE/UuJ9mghgzY9a2HX6SfLgVA/Oh\nEooq3HCiXR6V7XitJZXox4NaetMPeNbQp/u/4DWd8aIHgCqU+mWt1d9NVOmlYxWRaIdHZAAAugAO\nCjwH6dmxlrw+Es7ni7Q7BJNop9rpEZkPQpmH9OxVa7w+Es7na7Q/BJNon9rpRCYSiUTrtdNTS5FI\nJFqvv/lqBx4lUlDmxsun19pu1dyf3enBrBEcPnJb4bzXpFA866bFtfmi8mtvm6QSxeddjDC9u9in\ny16R8n89/UxRgcq/6fpjI/TzdbAjsidQGp7zpL7UamNvJizytxV+lNqwhtuwrAdk+fxV0Bfnwac2\nu3Cr6AavzsDdbJCPqNE3L45ifNDwF/hxpw42kT2a0vAcYkVqVfd4QWmOZKqZZR4fpTas4TYs68NZ\n/sLbZWrgs1kNuseAfvYIZqVXNr+fnD9SdnlUr1vd6pt5eMphbnva3UTG0STuoTREK/4ZgkDClKh4\nGzyHIc9VCK1O0tNi5zp9vs6jqA1ruA25HD82y2TWZHAecqQIztu0v3IEEj8yv585DkRqzbAfCvvX\nIn0kp8d4Zdkgac+nlBamd7lyubxbNf6opHJc/hWQXwoqZ4gkX67dTWQpTeJuSsMMQSCsFZIC1nEY\nclyFgLIR6oaGarTJSsVHUxvmuQ1sjh+e5TaymbQSMjESb/9IORIzBBInH8YTcCA4a5b98BMVQD8R\n00xy9JG8PuhVlHl/XPmlfR+j3uVpLkHeuVb9ezYr1CjMLUEppWWn2t9ExtEk7qA0LBAEEv6BR6VY\nx2FguQqR1VBX1NNahUgPojas4TZkc/zQLNso0/xNWwImRuxtQM+wNbMEkih+088BB4KzZtkP39Cg\nxLds5iP6SE4P8GosnxAwotK+j3HvsjSXMO9Mq67+4H5sMH3vUVqWMvB12t9EltAk7qc0zBAE4kfa\n++v913EYeK6CmrkTXaHjrqM8nNqwzG1giB3PyHLqobfFMTE4b1mOxBKNIvRA85wHZpsecEW9lT7C\n64Ne5a35pXOjA8jQXLy8r2gV12SVrkdp2ad2NpFxtIAnURpCHoa/3n8FhyFLNehnDr8rnkLwcGrD\nAveAt/6MLKceelscE4PzlmvhHlJE3pq3jQoMGMwp2DLN5F6t8SovNyrnfWRpLl7e+VbDI8hgrUlI\nadnrYsGdTWQMo+FOSkNKhghpECEPw1/vv8xhQJZqgFtA2fA0Xnlgh8HDqA1ruQ1Mjp+TZZV4aLd4\nTAyGtZAyTlgmg2NweNFRgz7JWmrNkTgaXNDhigs1K+gj78zPJAoKJZUf92qkgph/c6VTH4sgLo7m\n4uc9aRVAPyLHoeA9LckySiylhY9/D5IlSqslHAbRrypSqHTm1PEYlJa9HZHtVsJhEP260v3MTxmH\noLTIEdlKCYdB9CuLCtTZY7IDUFpkIhOJRIeXnFqKRKLDSyYykUh0eO16IqMifvAtmUdWTP+fqVs+\ng79AasnqcokVrTzH96dYfUYGfAv+Ws9HxRDazPucllthe7OHjxgxot1NZFTRmU7mTRMvitDjc43s\n/5n6buA9B+SyEsTC+7QaixLYWFMrX4bPyFMBLR/PvG8hXIXwmF5NYUTnNeW2ZnlLtJ+HzLljPO5e\nu5vIMADjjZqkuHue9W0kJk3/TzSBZJ4CclnG/rAl3NHjKixK4vuaWvkyfEaeBmj5OBrJtxBae0yv\nspilYU25zVne4s3nIXM2jscjaHcTWfBo+OnxIxF2xmJlksP+GNczhy7hoSj+CYUD2/AwnxCiErbg\nWXVwGx+LwuBoQuiN3RpCXYq0ZB78ksuI50kK2mHgNi4eDm4T+pZm2PUWFSafyrwP85Ce8rH4nOBk\nM2wjg94JMpCFN4Xv07Y3ZzkzPlikkOmRBAq1Ed0DjLgdKpLRPPXg6vEYoJ12rt1NZJ4cWiTEzkyr\n/rh1jeFH0iBTUnQJDztBAK7xIDQM9sbIQFQYOIqr4/t0zuNoQuiNw70ghLqcqGYBPjm4DZuRqXxs\nKQu38ePh4DbWN8aS9YTeUaCkNwCKLviXYR5c5q0NFolElYXTcEiaxLsw3zG8ya/vv8/gmLZmORkf\nM/CecxSB2oDucX6/AgCdUSY5nSysHI/B6Pi5z4VJTnueyPrgL4ed6ZP9VhGuZ0KmpOgSFnYSgmvg\n0Cc89saHqKQtBFYN3Ga0nMfR+NAbi3txUBfdAvoHzkjwOCz4ZSYjTIw2LyzcxsbDwW0i3yJLnict\nCrRQesCAH/j3UR6iU7kcEkm3gL7ilGkjRe94+U7hTUF9+55ve3OWufGRgfdMsQfWN6B7PL+7cU+S\nU68HV45Hh3b6N3u+GRbY90TmxGBn5jR9e2iHfYnRJSzsJJSHPplp37SRthDVCb69WRxNCL2ZWUcw\nzOGF+HpJRtIYk0wFcJsgnhm4zTykpkWNCleqofQQ5yGRml0UloP9pN757YQ24/ru/XzbG7KcjI8t\n8J616B7f7/x64MDC8nicBUXtTnueyKbz9BhboqL96fn7MjCFhZ2ElSz65P+8hHZJW2Cs+sdqLI5m\nBsvjlypQrCs5m5FcmyzcZg3eZvJtJufQN5QAbmPuF7E8/eyXl8JaEI7fTmgzru/e91u+OJeyHFje\nAu9Zi+7x/c6MicTC4nj0R4dcI9ssKi1KpDfpi7Ez07fl9P8IsDOCZCK4ToQuycBOAnDNhD7B/93D\npkxgE+vrCFHxoDBjidDq5JOCojqHo3FYnhDg4tqkhiqc8D3F43Dgl7mM0B/GZmQpA7fx++DvWLiN\n822KksfFdOh0D+hbiOUJM28tcEikjhqq6IzvvrdRjwTeRYgmH94U9Zp7z7e9Oct/n44PxmcP3ZMd\nt0voHmcdVFNlPin+aPZH5KrxSB78Z6/wHqcdr7XMoUXoPD4laPr/7wLYobcvfDbRgX37HUVntL/D\nZ8Jpd0dkTjxahKrxpozp/78RYKfY8QH+nn0T/Qba8REZhxYhhVLf3P/HUr8DYGdEqezzW3bPvv2O\n8p9r/7to1xOZSCQSrdGOTy1FIpFonWQiE4lEh5dMZCKR6PCSiUwkEh1eMpGJRKLDSyYykUh0eMlE\nJhKJDi+ZyEQi0eElE5lIJDq8ZCITiUSHl0xkIpHo8JKJTCQSHV4ykYlEosNLJjLRLyOq5JndjxQV\n4ZPDSFF9r61nSyayL9HxPnD795gqdOjMQ9927+0h1OgbQBWd6QQAug8eWrIryUT2NTp9tQMf95ia\ne8w8S1SZh5qpZ3i7r1g/RzQ9XWkApofK6Bt2mgmZyD5dpKjBQCue0kNqekb0B1usxudMj3+vtUaF\nfUY173Hy3fwof++1RooavKz2tnDHbYsZenKsu1QzwuR1BJLfZ8QykX2+CpTuKQNUUBW83POjSxQ4\nA6SiZ4pvFFUY6AyFjl6p0q3/nMLZ1mvd4kSKqtDjbDsP8jdnLe+rUYUKSncrvS1wRkUXgEr63+Yz\n9Bmx7lSKRWXf96C8p+tvvtqB30+6owLXLE/dbS/M3x9/uIoyrRa6BTD3jTo9l7PASX8H0KJBG3pM\nhRnK0xHNxIZ/nL+TtWHWmv9U8nL0gs5UrvS20n8FSFGJAv+fXIY+KdZ9qt+w9cslE9lXyHtcih5y\nz4bWLZ1xBVDi5SON6ZbOuAGo0HpXPuZbb+wHVKEPPU6jGS0+yt/Ia2stnykAKjgBWuPteNrUU4NO\nd/kMfUasoo9LJrJPF5Xo3LM47Xf+pF6777xS/wCgdE+l/sg3/2inxA1AjZuzlm29sJNGr/vQ42lC\nYZ4m+ih/I2sLvmKKjQoo3a32dpTS13yGPi3WPUpltu7ymEwmsq9Q4Z7FOXuc0VGNAT016KlCjRuq\n6aHEmzQeYUxHLWuOyK5oyPxJNXrf4xlZf/UVIIWL/gZQjRIvdzyarKMahfvYzGYKVGNAhb/G+V1u\nZT5Da2IlhVd8A9DMXDI4nvrxQYtUQqGwU7manie7M2l5HeSF81d7EPlzWthf4YQCCmeoO6wXUBo4\noV5RtkJxn7dQqB4Sa4MTyq/ukQf3r0LDbN3ZKJxe8qul6E7p5atDHSpgvJFysxooUij0mu//FY9o\nzni78shtKVZ9RfGrnWDqnrnppNrp8ZhMZMcQFXTa6x08GY8VSt2iAqDu8Vu/oECx8kT6/inkQU/j\n/kVvmH0J4yK13+lanjQuEokOLzkiE4lEh5dMZCKR6PCSiUwkEh1eMpGJRKLDSyYykUh0eMlEJhKJ\nDi+ZyEQi0eElE5lIJDq8ZCITiUSHl0xkIpHo8JKJTCQSHV4ykYlEosNLJjKRSHR47Xwio/KeR62S\n2usDWvPxzPscP/P5rrZ38Jzo+/rzYz165xi609O1NtdHtKbvqQifKhV6T4oq+2i/gioq9zAWHqud\nT2TAnY/b2u9Dus537DHPfP7YE7Q/6znRHH3M23Zvz2yut9zmkzx1tt5no1hrf3zed0GvVFFFmiqq\n6BI9t7NA6R5iRyVeYxv2wboFmn0/M/w+7Xwi090qfnpcq7+n1tfGM+ez91yfDz2h/JOeE13nt93X\nn3f26HKbT/A00LcoCs/m2ohs35f6u24xoNWtbnELAYe6RzfxXKlAidZ/WIru8YLSPgbvu+72/Mzw\n+7SziYwKgApS7l8ACB4cW1E5HjpTMX4rjVsy9sw+zm5qKa7lH7JT6bzgWhz3j+2Mz6EeD+/HWlT6\nNfxnWce2/HasGtxyz/uef0Z2+jxsv0QYu8uHs8TlOc1EEGmBJokp2jaXST+DuVMmUtY/xqf5Nr0e\nfaCn0TgpqARIIWox7f1olGb7HtPzJCc0NwcPn7aVKGJmru7GkUO1j6oO/eDH6+R92C/7084mMih6\nR4GS3gAougAA1brF2UxCZ92ioAbABRVO9Ie3JRIVdEaHns6M3X+ZWLLfZ/SKDgONB/4n3aKmmk7o\ndYtz5INra9o/tgOcUAE4U6VbnOmEHtVUg6rRZuRhaCfKih4A7gnac08RZ5+HHT8n2sQeRDV6fTJX\nUaI8ZzIxRarYh4iFU4zpTz6TNoMNKpd/b/8YSY3S1WezxrYZWHykp76fbjwFYyjufTdKZ6Kwz/s2\nzz0oxydJxU9BoBLTVFWim0oFuqGhGq2H9k6fGc6N18n7cGTvTjubyHSHFgVaKD1gwA89AGgBjA9C\naNABukWtO/Ro9Xf8w7SFMdag04MeAKpju/j3sSU7NBrDcXfffB1KAA2ND2NtMi02VOJFd7ihBHDT\nN91hQAegR68Hd+ivW0BfcQo9DO1EtnuTmwLXhJmuAN0B7FPECyB6WnfwAfBi9zM76BbQP3B2JYI8\nJ5nwIlVj/ejEJ9w29SebSZvBVt+C/FtL9rSsYXxaatOz+FBPfasmp/bkMYjB63073vJRxD2G3NM5\nCz2gH3tfD+5ZoJ6uqNEHTyiIymTGq/HeH9nYofb3XMsWNTpcqTYfUHjJL83l7h92e7AlkrIf3xK3\n0C6llkBvAID/jP8LoHvTzYpqKEC/0AknKPyFb9Hbf8WF7GAzvnNXQ4bEw9AOp+RpQXNPEeee1p3K\nWOSiGrwSdr/u+EyEnhHzUZq22ZK5vrvibDNo8s+K82mpzcTigzwNrEa9xMXAjOl8FNavcvYxKz1K\ngm4zpRS65QeHMOPVeR+M7L1pZ0dkgDbzPnsA22LQrW69RKdbnNzjrNrELlNPf9Pf9Df8P8cSpAA6\nAfqGDqCTftHfcaWKb5Hqab/uMaDWyx2uYg9DO0lZ+4RyILi6MT7nejyZqHGjktnrPqy5SSGJiorg\n6M7u9zycy329Ylumvu6BMYNe/rmroJxPC20yFh/g6ZyfmX0qtT3X90bew+uYK1W9eQq4LRWUqZLT\nzRW/Wvrerx7ZX6LdTWQAOnS6B/RtfMox1aSgUFGhr1BUU4XSbPe2+AZIQVGtX6Coono8nA/tppam\nuvoKUG2+hToUVGGAwr+lmioo3fItmm1KtwCuxgvfd4UKihSAjhqq6IzvgO/h6HNgx6k3/rknaL/b\njwX3jGy3t6OaGu8kQvnf1i72MCpqqMIJ310Jb79KMxH2ErqgxcmPBn2YE9zYTALAzUyiLv//DtOd\nTy01VEf1+axxbf6ztVi4Eh/21PlZuJyaHu3iFsfeN3vBZZbreyqoRu1Nh7aPSdEFFYAeg+6pQmMf\nwOfKVKhRRJOfCo/c2PEaen9d+xH+An31E4J/vRfK5edeb7TIPPN5/gnZ4970ad1rnhONt6/OoLzm\n+37NCFgus/2Z4Y8f2Y977fGI7MCiC+zvTI9T+sxnquYO8e3e6GndK58TXezzB/bfU9zzvoGlEbBc\nZuszw58zsh8neUDvQ0UK5TN+1aECtb767+eGlNtLNfrpEu8636hEYU/GRTtQ3PfT1uVJJV9m+zh9\n1sh+lGQiE4lEh5ecWopEosNLJjKRSHR47e+G2ERUmrvW77egoMz9+p5NAJ0eqESBgb9VcF2p5/rw\n4VYUikdY3t7y49v++EiIPf61rgVSgRK9u8F3e77CXjQLzjo9GNsPGaPP0e6OyNhfzD4O5amje4AK\nvNm/82vH1pV6rg9zeVlshU5Q+CB5aoTR8MvO5+Kba3vr76K2/HmxxBYl1hjwzsY8cT5ttZov/0GY\nzxqFvRjhf3asr77/I7lXhblr5uN3NuEc3lGD0tl0d1kx982sKPVcH+bystzKI+4Jgwrbz97XFMc3\n0/baaOLyeZtbLfLWxlg/kifW641W8+XN/YFm5KR3iaHCu/mrQIPLHVGE46e09u7I72e+dnZE5jAq\nCfyk8KA+JVfTB6kEAJaSKe+WcVTIH3yvK/VEHyawi4+XsWCVqI20FSrhPPJRMRlsEQdyGU8v/H7x\nPHG4oyS+qe2wH1MbnGcxziYp70glc0ieqS1QYf4NEEVMr42xJnk1LWyE9kw++USQFHvk97J5N1ni\n/PgQzGd+jHK9yON/9qidTWTezX8xwEXRK3JAlbi8g8qALhiQ3lSo7NQxdz/OulJP88EDuyi2Fa+N\nbCtIcEExtsjfx4Fcwva9elNP5Fv2vfUASWrWs5cEZ+NPag7IM4Pk8bxT9BMVQD+hECOKmF6L+875\nsBna42qfk1j90ZHie6a/Ez8+DPPJjtFsL6b4n11qZxOZh1EJ4CdUQOnvustCdCI8ywSVoQa97vWQ\nfHetuC96daln+mDALgFexoFVbBsA14qp1UdAIwZbZPclIJcRRuPat3/ZnuDjs217IKQJkORFw3iG\nP2OcTRC9A/LMIXl8xNA3NCjxTXchoojpNRury6vnw0Zoz+ST3WNjhYpaCOKdyvN+zI6cZZhPZozy\n4wcAh//ZpXY2kY0ihREf4g50a3OpsYSiiioG2xOUt4lX7OG1mrpr7hLxulLP9EG/ADh5l29V3IqP\np5lBvDi8TxnVyu3jjxD90x/XE2oWLuO8LdABurcLphTfehx12HroO4U/bbgPvDdO9IAr6uijOGMl\naWXSFRNcgO/nJZ+CWF2tXLw5P1bAfCrdZUvlfM/14ir8z9drlxMZ6hh+oq+40RkBUCWANudAKj1D\nLAhaSpddMBNLnVuc8SwfjMUY7FLf2UqCC1q5L/HU+8v1xEzLgbe9AyRZa0zrWSjPFiRPOE4GDP7J\npI8oWkAFeboT2uPazWR6BkLEqwoIJvFonYX5zPie68Xo+u1e1+HubyIbMSoxGKXCDSdqAtzMu9cZ\nKUhlArAUprx3iVf36KgiRYaHbn7KrsyVGmM3LgWQGuGLVNM5BqV82AdFP6mggk7eUPHBLhNyxrXy\ndxHiKGmFFBQ1VAS4oBhblO4LQC4TbsZD3nTUoHc9wbU8te1jc0JA0miN9YzD2XTUoI9xQXkkj4cY\nanBBhysu4xU/D1GUYHbGLVErvu6A9qC3wB4bK4aghSjeqTznRwLzsSNwDcwnP0b58cPif953+vSl\nr/7Z9COvNSCTbN0SZfizM2c3LIUKJxRQOLsfyB/nAxqcQp/k9fAR8wsiipZH4EfG6FFe+zsiWy2q\n8IFzd5098/fhJ0mpbjw9mi6jroGprPVBXz/nHvzfWr8comh5BH5sjB5FB57I4gUx94sKOnln/7kJ\nTqHULSoAaqnsXV7s+87pX0BU4sfC9crjaXkE/hZfjoLxEYlEh9eRj8hEIpEIwO4nsnEZxQdtKCqp\npIKqj9ta2eKntbTaowfk8e621d6yYfyayclH8uWeg/4RD54efeIlqaUbUPasnU1kdKYzVXSin1RR\nPS7m+KDFBpXucMJJt1Dxdag5LsG9l4WpQoeOPk7suK/1IvN+pT/ro96Qn6fl4oOX7j2/kpHwEZ/D\nW2LnfNzcindrxCqmxkzrD+ekfKV2NpGh0z90i3Fxxw39+GTpD2nknfdoAbTJ0tdvczXvaY4qsxDl\nq+62qbn3G/K4PuqVJe0Snc+IdoOinHyb2bfNbhxv1se7WnHWvm0sP+9lpVv9Y4W9nWp3E1nwbrpF\nMOEnOKUUBf+dYTBUKFBSZW5TdHstlyClEgSUhzJlIcydPpCiJny2NxXpSYTPoYjaL/j9oS8cSSGm\nQOS4EUm2EsrG1Lqx752IhASLcL9HgyjinLmWfAKFz/Kw0bKEBp/NkCdx5Bgahn+h3L9+TuKRkOaL\npUUwYy8hkLCkj2gEF6nFeMsYjdc/CanDtcxTQYLIeE7KP/pklDkmyv60s4ksXOY6vnO8g5h94XgK\nIUUhy8go0QQUBuAclXY8ADdcEzoBlah1i1Pm6k+Fyj4w1/iJMyq6AFQGH+6RnPBH0v4pICt4+ydf\nMj6DIWw4L/J55CkbF1Q44V+byGuUPMHC3w9Hg4jpJU5hjK6c40hwhAbL4/DJFnYc+PHwDI2RXlHS\nGwBFlzgnZiS4kRFyNhD4EuRwgQOSI31MWyuPDhKNWq+NqYcCb/j8gCFwhLZnaCWmD1YwUXamnU1k\nrBzvIGZfWJ6CT1FAyD6Y1tx1ujXHe47CMB5eB6UnHkDAUwjoBFTgpK8A2pSZSSU6fdPXaC1bpf+q\nf+CFShRuqra0h38IvZ3oDOl+zxfW55QCkeFGpAyRhLJhuQ7/hME7EUkIFuPpkUdsmNgaAb3EKSFQ\nOJaHo3JwhAbL40h6N2Ci5BgaukOLAi2UHjDgh7kH0eTEjQQznsJ8Wc89GoVrc5YDwpM+vP0toK84\n8b3ibWmoxIvXPzGpw+WHo4J4lma8/CfbBwtMlP3pAMx+77bXEqAKsOyLAi2ge/R0sSel5YhbCcqF\nsrU4qzF1Xvf6hU44QeEvZmNj21IJ9ERx9+aPi8J1T018c6IemKgAS2eI91tf+rzPo9fp+3we4win\n+swNx1HuiEHFmFrKrKrMKynneCF+3YTHEXlPKolnSGMC0KJGhyuN013YIhMdd7s1m8OT/avOAjKV\n7j2+RJlcq+XHgd2iOz+aMOsMryTKfZQhNYcHmHov9HWOibIPHeGIzMljGgCAx1MIyQJxuVAxhWGu\ndM3QCRx50zzowbtaZq7xjBNachWNnebS9n06Q7h/8gX/eTbCeuF91CJH2ciII1gwWmZKjDFy5Rbr\nxvmquR5MmRJ65IndZp6PEEc3J9fmGg5IhvRhpcCNQ7slimb2Jw6WwOHbXqKxANuYKLvQDicyKlFZ\npkC8Qt+xLwA4noJPUQjYBwzPwdUaOQOZ0oXlKcQ0hiuq6U4xc5Lg8QWopgon/DXeDiD6KWMiJ4RR\neXQGbv/ky3/I+BxRIMByI+I8cpQNj5LRUkO1rZkQLPz9tlbClAgitzEmLA+eLhH3n/M+InF4frMM\nDXS6n46QA9t/mJEwjQyOPJHJ4RIHhCN9+PuoojO++6N22ultcdFM/ZOSOkx+OAKHb3uGk/L3Ux8s\nMVG+eo5IJUuUHqJxYe5460W63fy94vFj9KbX/ah+YP0OMYo+Wzs8Ijue7HRV5KcxREC8jH45OsNv\nGqPokyVHZA8QmQksucgeTGxULkF6xkf2/trQld8hRtHnSyYykUh0eMmppUgkOrxkIhOJRIfXTiey\ndYCT9cCUVW0uWJv3aRYKw1gmxT8x/atzQkXwvKHKrKTcuDj7sV5kWtjk0/0epQvRlr2bsfZBxNNS\n3OO4+jgg6GhQn91NZBuxM8kTCT80sdULtwqGq+S2gF8iy9Sg0i2adXfk3JeTNZgXJluNezjdBCTS\nfe4m0Zk2HuYFr7xPSx7NtJobPXHeF73LRvphxNN83GZcnVAh8zW5kpQWQH2ooFeqqCJtnje2wylu\ndxPZFuwMC4i5+7tyCTeT+LQa/MJYHuFCV/ZZ0I/KyZq7teJnRSpvfYEHJNI38EuFM208zouZSHM+\nLXmUaTW3La65zjtOOcTTtmXYs3FP0KpO/8j8Rr7u8xFCfUr9fVzDoFvd4rbHR+TsbCJbi50BVmBL\nGJAMD4gJrXm+MOAXW38F+CW1HMOFJvRN4Em1AIJZlxOLeUlRQBwGx6gJVwH6QKL0u3zKQT6XH/ci\nBCbFOKSIcbqtdxO8ztLoYbyrqNp2iSBFPAHcmlQ/7hQClVyoSKFVHuopE2EKp7J7EEY/ft1O90Gu\n+/L9ZO1sIluHnQEiFEmCLYm28tt8KAsHNmHALwHaZQ34xbPMRDGd7FhPWADRfTmZTohSFBCH4rFt\nBbf0+kAifoXedJKUz+WHvAiBSQkOKfZpU+/arDlkzdLoCbwjRWdUaFC51ZsjUN17xbEliCdeftwM\nBKoPCbQ8tCoADSW5juFUPGRolDlvKMd1lyvPIj5ZO6Nf6I4Ge7PkhFHpJwgJveE67hpRJACNSR2x\nJRVuQX271WsgKDlBWagKrDlfRvDLWQ804IceyPNJ92TBL1RE4BdrJ/DTRqGvo5fj96zvCco40ntz\nMvqnO+rR6hudvNLW58Cyy89orRyXW9HZ3MjLDF+TA+Rz+TEvqMBJf8cITGoBVPqv5jJ0wfq0rXen\nVg28hwCF+dET5qjQP6hEMXtzb3BDdJRRUGEmpOmIyyxwi+KOo47j5sZVp3sv2wWb64Za79jQZoFq\nfUt6BAAq/R271c4mslFL2BnEKJIEW6J78CAZDhCTB5sk4JcE7bIEfvEtz8CFbM1smc05CW37pVeg\neIA1xw1sBI/0IgIm5XFIU6lNvTu16iNrMDt6wog6AJUOThP1MEOLWM5o4ahvLm49fSXkos6NGbe9\nTnOdYI7mIEMYp2HsWHs7tRy1gJ1BcHDNYku2AWIyYJMHgF98y/NwoaUym3Iya3cOxePiCIBE8Fij\nmNcjvUiASdP+0Cfj2cbeta3GyJoa8yghlfkbC6eWcUahBz1ePjf/tzHycbuJMGw1N2Z8vFCS6wRz\ntATuWbNS+Au1v4lsDXYmQJHgn1NsCRDBTIxtHhCDG4tfGWtY8Evok0UAzYBfIj9vPHon8iSK9L6c\nTP5xKCAWxTOp9y6s+0Ai943tI4sMoCefyw96kQKTpl4Jfbqvdzm8DjN6EgxR7y7Cx4N3mprsK1x7\nG2Y0Lz5uF2sQdw5DFeCF0lxHmKMA3DNCffyfWGrUwB5vu3BpkJe87AsKjYYGKhTRnrP9q/osL7J7\nq9inr8jRxlpJRr19p1Wt2rx/Tdz7fu3viEz0hdLTCUYCJJqum9AnnGLofvbqlPGAuAvxn5mjbSp0\n/j7DlxX1bd6/Ku59SyYyUagXahCzbJX9vQwxOvKpXvAaf13zffqaHG3TR32dftH8yrh3LMH4iESi\nw0uOyEQi0eG1y/vI8jKLYsaTiwIlBjnMFolExzsia+yS2WLLomGRSPTr6nDXyKjEq/43AECNvn7U\nmkgk+hW0wyOyaSV/yC+YpDsMVAJUy4/QIpFo1M4msmANvscvCHRDQzXaT7kNQCQSHUA7m8jGNfh6\nAKDgmBChrqjRyzQmEokm7W0ic/TNkqVJjGU6+a1SJBI57W0iW1qDDwBVuE+eWy0S/e7a2UTm1uBj\n4GgSAFWoR0S01fvGh1CIRKJfTIe7/UIkEoli7eyITCQSibZLJjKRSHR4yUQmEokOL5nIRCLR4SUT\nmUgkOrwOO5FR9XEbd7SqvqbdO72ttnprHgj7Vf7uJLvjOt+j6iN9+LX9/xEddCIjhcuKUqu7ZEPn\nnVeX3BbRw4cPVejQ0VZ/a3zls3I+lF37dKN3/v1n+bHB41We8aVm6n6kD2fr7neSO+hEhgr9iodT\n1SssbSqpezxrjed6X1eJKrNqddPNwk+M7zNan3L4LfN+rR/dp2VhnWffttT9SBYX6z54lD5OR53I\nBtwcVpHKEPczvqcCjUMCUUGlQQN5h89mf1ByKjHVAsyDV5MpwaKGirAMX9MHE1E5TcOxB94230rJ\ntW+sZ78lSVGDF6ZG4o+Np4zLsi0mUU4+e+WqTPwm+y4iPremhgLGnvD7LZNTk0NDEU7eB155+aQC\noMK0pLzjOFfC9UzJbc317UwWxpKTp1FPmNE3vfNKeX2loJb6MAJiFYlXcbtB/6c4rXCU7kxf/Ty6\ne14ooVDgz+mpgCg08OqeEji+R4mfqFBqoMQ7arziH/FTAwoXVBoo8IoCCuegpC1ha6nxSYI4odbA\nW+DHT1QaOKMOyvA1p9KvOKHACQ0KnDVQofE88LcZK3GEXvuNBs7+Mw/tvgo1mvQJiKw/SkMDFygU\neLVPjSxwwRmXMd9s/ck/67OtaTIbt2dz60XkSkTZfUUJhTMqv2Y+himHUPjpesd77zIb5BMl3qFQ\n4w0FKlxQaOANtbFa4IzC1LX1koiTvg3LZDwOPHXtaeCCcsyIxlgqGeXj1mwfxmPLjlLfq6C23/9M\nbS/DX/35/3Wea1lBoURvn8LcUBkceTRU4kV3GHSrO0B36NHq7/qfMHiHz415xFYXlLQlbK0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eNcbfe10q3mVgGsJWWtJmpt6o9teirVa43fSZmpH+rFGmH+fys+2e4msuCdffCYT52ICQMh8yFY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\naqLA8FhSX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"text": "<wand.image.Image: 6dd47e4 'PDF' (612x792)>"
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "pdf_pages[6]",
"prompt_number": 19,
"outputs": [
{
"output_type": "pyout",
"prompt_number": 19,
"metadata": {},
"png": 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zSGRovRvcNxkB7/0xFidkAGp1Gsv281+1/RxbFtmwhKpVbMTXfjruqC0uZABw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\nbgBQREYtMS41IAVcCzkAAAAASUVORK5CYII=\n",
"text": "<wand.image.Image: 7102d7f 'PDF' (612x792)>"
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "#pdf_pages[7]",
"prompt_number": 22,
"outputs": [],
"language": "python",
"collapsed": false
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "pdf_pages[8]",
"prompt_number": 21,
"outputs": [
{
"output_type": "pyout",
"prompt_number": 21,
"metadata": {},
"png": 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mEok2L0lkIpFo85JEJhKJNi9JZCKRaPOSRCYSiTYvSWQikWjzWmEio5z2tIvf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\np3rZ1U1GfLSv7vYgW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"text": "<wand.image.Image: 3c768db 'PDF' (612x792)>"
}
],
"language": "python",
"collapsed": false
},
{
"metadata": {
"run_control": {
"breakpoint": false
}
},
"cell_type": "code",
"input": "",
"outputs": [],
"language": "python",
"collapsed": false
}
],
"metadata": {}
}
],
"metadata": {
"name": "",
"css": [
""
]
},
"nbformat": 3
}
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