-
Notifications
You must be signed in to change notification settings - Fork 5
/
log curve.html
218 lines (166 loc) · 65.8 KB
/
log curve.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
<!DOCTYPE html>
<!-- saved from url=(0014)about:internet -->
<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8"/>
<title>log curve.R</title>
<style type="text/css">
body, td {
font-family: sans-serif;
background-color: white;
font-size: 12px;
margin: 8px;
}
tt, code, pre {
font-family: 'DejaVu Sans Mono', 'Droid Sans Mono', 'Lucida Console', Consolas, Monaco, monospace;
}
h1 {
font-size:2.2em;
}
h2 {
font-size:1.8em;
}
h3 {
font-size:1.4em;
}
h4 {
font-size:1.0em;
}
h5 {
font-size:0.9em;
}
h6 {
font-size:0.8em;
}
a:visited {
color: rgb(50%, 0%, 50%);
}
pre {
margin-top: 0;
max-width: 95%;
border: 1px solid #ccc;
white-space: pre-wrap;
}
pre code {
display: block; padding: 0.5em;
}
code.r, code.cpp {
background-color: #F8F8F8;
}
table, td, th {
border: none;
}
blockquote {
color:#666666;
margin:0;
padding-left: 1em;
border-left: 0.5em #EEE solid;
}
hr {
height: 0px;
border-bottom: none;
border-top-width: thin;
border-top-style: dotted;
border-top-color: #999999;
}
@media print {
* {
background: transparent !important;
color: black !important;
filter:none !important;
-ms-filter: none !important;
}
body {
font-size:12pt;
max-width:100%;
}
a, a:visited {
text-decoration: underline;
}
hr {
visibility: hidden;
page-break-before: always;
}
pre, blockquote {
padding-right: 1em;
page-break-inside: avoid;
}
tr, img {
page-break-inside: avoid;
}
img {
max-width: 100% !important;
}
@page :left {
margin: 15mm 20mm 15mm 10mm;
}
@page :right {
margin: 15mm 10mm 15mm 20mm;
}
p, h2, h3 {
orphans: 3; widows: 3;
}
h2, h3 {
page-break-after: avoid;
}
}
</style>
<!-- Styles for R syntax highlighter -->
<style type="text/css">
pre .operator,
pre .paren {
color: rgb(104, 118, 135)
}
pre .literal {
color: rgb(88, 72, 246)
}
pre .number {
color: rgb(0, 0, 205);
}
pre .comment {
color: rgb(76, 136, 107);
}
pre .keyword {
color: rgb(0, 0, 255);
}
pre .identifier {
color: rgb(0, 0, 0);
}
pre .string {
color: rgb(3, 106, 7);
}
</style>
<!-- R syntax highlighter -->
<script type="text/javascript">
var hljs=new function(){function m(p){return p.replace(/&/gm,"&").replace(/</gm,"<")}function f(r,q,p){return RegExp(q,"m"+(r.cI?"i":"")+(p?"g":""))}function b(r){for(var p=0;p<r.childNodes.length;p++){var q=r.childNodes[p];if(q.nodeName=="CODE"){return q}if(!(q.nodeType==3&&q.nodeValue.match(/\s+/))){break}}}function h(t,s){var p="";for(var r=0;r<t.childNodes.length;r++){if(t.childNodes[r].nodeType==3){var q=t.childNodes[r].nodeValue;if(s){q=q.replace(/\n/g,"")}p+=q}else{if(t.childNodes[r].nodeName=="BR"){p+="\n"}else{p+=h(t.childNodes[r])}}}if(/MSIE [678]/.test(navigator.userAgent)){p=p.replace(/\r/g,"\n")}return p}function a(s){var r=s.className.split(/\s+/);r=r.concat(s.parentNode.className.split(/\s+/));for(var q=0;q<r.length;q++){var p=r[q].replace(/^language-/,"");if(e[p]){return p}}}function c(q){var p=[];(function(s,t){for(var r=0;r<s.childNodes.length;r++){if(s.childNodes[r].nodeType==3){t+=s.childNodes[r].nodeValue.length}else{if(s.childNodes[r].nodeName=="BR"){t+=1}else{if(s.childNodes[r].nodeType==1){p.push({event:"start",offset:t,node:s.childNodes[r]});t=arguments.callee(s.childNodes[r],t);p.push({event:"stop",offset:t,node:s.childNodes[r]})}}}}return t})(q,0);return p}function k(y,w,x){var q=0;var z="";var s=[];function u(){if(y.length&&w.length){if(y[0].offset!=w[0].offset){return(y[0].offset<w[0].offset)?y:w}else{return w[0].event=="start"?y:w}}else{return y.length?y:w}}function t(D){var A="<"+D.nodeName.toLowerCase();for(var B=0;B<D.attributes.length;B++){var C=D.attributes[B];A+=" "+C.nodeName.toLowerCase();if(C.value!==undefined&&C.value!==false&&C.value!==null){A+='="'+m(C.value)+'"'}}return A+">"}while(y.length||w.length){var v=u().splice(0,1)[0];z+=m(x.substr(q,v.offset-q));q=v.offset;if(v.event=="start"){z+=t(v.node);s.push(v.node)}else{if(v.event=="stop"){var p,r=s.length;do{r--;p=s[r];z+=("</"+p.nodeName.toLowerCase()+">")}while(p!=v.node);s.splice(r,1);while(r<s.length){z+=t(s[r]);r++}}}}return z+m(x.substr(q))}function j(){function q(x,y,v){if(x.compiled){return}var u;var s=[];if(x.k){x.lR=f(y,x.l||hljs.IR,true);for(var w in x.k){if(!x.k.hasOwnProperty(w)){continue}if(x.k[w] instanceof Object){u=x.k[w]}else{u=x.k;w="keyword"}for(var r in u){if(!u.hasOwnProperty(r)){continue}x.k[r]=[w,u[r]];s.push(r)}}}if(!v){if(x.bWK){x.b="\\b("+s.join("|")+")\\s"}x.bR=f(y,x.b?x.b:"\\B|\\b");if(!x.e&&!x.eW){x.e="\\B|\\b"}if(x.e){x.eR=f(y,x.e)}}if(x.i){x.iR=f(y,x.i)}if(x.r===undefined){x.r=1}if(!x.c){x.c=[]}x.compiled=true;for(var t=0;t<x.c.length;t++){if(x.c[t]=="self"){x.c[t]=x}q(x.c[t],y,false)}if(x.starts){q(x.starts,y,false)}}for(var p in e){if(!e.hasOwnProperty(p)){continue}q(e[p].dM,e[p],true)}}function d(B,C){if(!j.called){j();j.called=true}function q(r,M){for(var L=0;L<M.c.length;L++){if((M.c[L].bR.exec(r)||[null])[0]==r){return M.c[L]}}}function v(L,r){if(D[L].e&&D[L].eR.test(r)){return 1}if(D[L].eW){var M=v(L-1,r);return M?M+1:0}return 0}function w(r,L){return L.i&&L.iR.test(r)}function K(N,O){var M=[];for(var L=0;L<N.c.length;L++){M.push(N.c[L].b)}var r=D.length-1;do{if(D[r].e){M.push(D[r].e)}r--}while(D[r+1].eW);if(N.i){M.push(N.i)}return f(O,M.join("|"),true)}function p(M,L){var N=D[D.length-1];if(!N.t){N.t=K(N,E)}N.t.lastIndex=L;var r=N.t.exec(M);return r?[M.substr(L,r.index-L),r[0],false]:[M.substr(L),"",true]}function z(N,r){var L=E.cI?r[0].toLowerCase():r[0];var M=N.k[L];if(M&&M instanceof Array){return M}return false}function F(L,P){L=m(L);if(!P.k){return L}var r="";var O=0;P.lR.lastIndex=0;var M=P.lR.exec(L);while(M){r+=L.substr(O,M.index-O);var N=z(P,M);if(N){x+=N[1];r+='<span class="'+N[0]+'">'+M[0]+"</span>"}else{r+=M[0]}O=P.lR.lastIndex;M=P.lR.exec(L)}return r+L.substr(O,L.length-O)}function J(L,M){if(M.sL&&e[M.sL]){var r=d(M.sL,L);x+=r.keyword_count;return r.value}else{return F(L,M)}}function I(M,r){var L=M.cN?'<span class="'+M.cN+'">':"";if(M.rB){y+=L;M.buffer=""}else{if(M.eB){y+=m(r)+L;M.buffer=""}else{y+=L;M.buffer=r}}D.push(M);A+=M.r}function G(N,M,Q){var R=D[D.length-1];if(Q){y+=J(R.buffer+N,R);return false}var P=q(M,R);if(P){y+=J(R.buffer+N,R);I(P,M);return P.rB}var L=v(D.length-1,M);if(L){var O=R.cN?"</span>":"";if(R.rE){y+=J(R.buffer+N,R)+O}else{if(R.eE){y+=J(R.buffer+N,R)+O+m(M)}else{y+=J(R.buffer+N+M,R)+O}}while(L>1){O=D[D.length-2].cN?"</span>":"";y+=O;L--;D.length--}var r=D[D.length-1];D.length--;D[D.length-1].buffer="";if(r.starts){I(r.starts,"")}return R.rE}if(w(M,R)){throw"Illegal"}}var E=e[B];var D=[E.dM];var A=0;var x=0;var y="";try{var s,u=0;E.dM.buffer="";do{s=p(C,u);var t=G(s[0],s[1],s[2]);u+=s[0].length;if(!t){u+=s[1].length}}while(!s[2]);if(D.length>1){throw"Illegal"}return{r:A,keyword_count:x,value:y}}catch(H){if(H=="Illegal"){return{r:0,keyword_count:0,value:m(C)}}else{throw H}}}function g(t){var p={keyword_count:0,r:0,value:m(t)};var r=p;for(var q in e){if(!e.hasOwnProperty(q)){continue}var s=d(q,t);s.language=q;if(s.keyword_count+s.r>r.keyword_count+r.r){r=s}if(s.keyword_count+s.r>p.keyword_count+p.r){r=p;p=s}}if(r.language){p.second_best=r}return p}function i(r,q,p){if(q){r=r.replace(/^((<[^>]+>|\t)+)/gm,function(t,w,v,u){return w.replace(/\t/g,q)})}if(p){r=r.replace(/\n/g,"<br>")}return r}function n(t,w,r){var x=h(t,r);var v=a(t);var y,s;if(v){y=d(v,x)}else{return}var q=c(t);if(q.length){s=document.createElement("pre");s.innerHTML=y.value;y.value=k(q,c(s),x)}y.value=i(y.value,w,r);var u=t.className;if(!u.match("(\\s|^)(language-)?"+v+"(\\s|$)")){u=u?(u+" "+v):v}if(/MSIE [678]/.test(navigator.userAgent)&&t.tagName=="CODE"&&t.parentNode.tagName=="PRE"){s=t.parentNode;var p=document.createElement("div");p.innerHTML="<pre><code>"+y.value+"</code></pre>";t=p.firstChild.firstChild;p.firstChild.cN=s.cN;s.parentNode.replaceChild(p.firstChild,s)}else{t.innerHTML=y.value}t.className=u;t.result={language:v,kw:y.keyword_count,re:y.r};if(y.second_best){t.second_best={language:y.second_best.language,kw:y.second_best.keyword_count,re:y.second_best.r}}}function o(){if(o.called){return}o.called=true;var r=document.getElementsByTagName("pre");for(var p=0;p<r.length;p++){var q=b(r[p]);if(q){n(q,hljs.tabReplace)}}}function l(){if(window.addEventListener){window.addEventListener("DOMContentLoaded",o,false);window.addEventListener("load",o,false)}else{if(window.attachEvent){window.attachEvent("onload",o)}else{window.onload=o}}}var e={};this.LANGUAGES=e;this.highlight=d;this.highlightAuto=g;this.fixMarkup=i;this.highlightBlock=n;this.initHighlighting=o;this.initHighlightingOnLoad=l;this.IR="[a-zA-Z][a-zA-Z0-9_]*";this.UIR="[a-zA-Z_][a-zA-Z0-9_]*";this.NR="\\b\\d+(\\.\\d+)?";this.CNR="\\b(0[xX][a-fA-F0-9]+|(\\d+(\\.\\d*)?|\\.\\d+)([eE][-+]?\\d+)?)";this.BNR="\\b(0b[01]+)";this.RSR="!|!=|!==|%|%=|&|&&|&=|\\*|\\*=|\\+|\\+=|,|\\.|-|-=|/|/=|:|;|<|<<|<<=|<=|=|==|===|>|>=|>>|>>=|>>>|>>>=|\\?|\\[|\\{|\\(|\\^|\\^=|\\||\\|=|\\|\\||~";this.ER="(?![\\s\\S])";this.BE={b:"\\\\.",r:0};this.ASM={cN:"string",b:"'",e:"'",i:"\\n",c:[this.BE],r:0};this.QSM={cN:"string",b:'"',e:'"',i:"\\n",c:[this.BE],r:0};this.CLCM={cN:"comment",b:"//",e:"$"};this.CBLCLM={cN:"comment",b:"/\\*",e:"\\*/"};this.HCM={cN:"comment",b:"#",e:"$"};this.NM={cN:"number",b:this.NR,r:0};this.CNM={cN:"number",b:this.CNR,r:0};this.BNM={cN:"number",b:this.BNR,r:0};this.inherit=function(r,s){var p={};for(var q in r){p[q]=r[q]}if(s){for(var q in s){p[q]=s[q]}}return p}}();hljs.LANGUAGES.cpp=function(){var a={keyword:{"false":1,"int":1,"float":1,"while":1,"private":1,"char":1,"catch":1,"export":1,virtual:1,operator:2,sizeof:2,dynamic_cast:2,typedef:2,const_cast:2,"const":1,struct:1,"for":1,static_cast:2,union:1,namespace:1,unsigned:1,"long":1,"throw":1,"volatile":2,"static":1,"protected":1,bool:1,template:1,mutable:1,"if":1,"public":1,friend:2,"do":1,"return":1,"goto":1,auto:1,"void":2,"enum":1,"else":1,"break":1,"new":1,extern:1,using:1,"true":1,"class":1,asm:1,"case":1,typeid:1,"short":1,reinterpret_cast:2,"default":1,"double":1,register:1,explicit:1,signed:1,typename:1,"try":1,"this":1,"switch":1,"continue":1,wchar_t:1,inline:1,"delete":1,alignof:1,char16_t:1,char32_t:1,constexpr:1,decltype:1,noexcept:1,nullptr:1,static_assert:1,thread_local:1,restrict:1,_Bool:1,complex:1},built_in:{std:1,string:1,cin:1,cout:1,cerr:1,clog:1,stringstream:1,istringstream:1,ostringstream:1,auto_ptr:1,deque:1,list:1,queue:1,stack:1,vector:1,map:1,set:1,bitset:1,multiset:1,multimap:1,unordered_set:1,unordered_map:1,unordered_multiset:1,unordered_multimap:1,array:1,shared_ptr:1}};return{dM:{k:a,i:"</",c:[hljs.CLCM,hljs.CBLCLM,hljs.QSM,{cN:"string",b:"'\\\\?.",e:"'",i:"."},{cN:"number",b:"\\b(\\d+(\\.\\d*)?|\\.\\d+)(u|U|l|L|ul|UL|f|F)"},hljs.CNM,{cN:"preprocessor",b:"#",e:"$"},{cN:"stl_container",b:"\\b(deque|list|queue|stack|vector|map|set|bitset|multiset|multimap|unordered_map|unordered_set|unordered_multiset|unordered_multimap|array)\\s*<",e:">",k:a,r:10,c:["self"]}]}}}();hljs.LANGUAGES.r={dM:{c:[hljs.HCM,{cN:"number",b:"\\b0[xX][0-9a-fA-F]+[Li]?\\b",e:hljs.IMMEDIATE_RE,r:0},{cN:"number",b:"\\b\\d+(?:[eE][+\\-]?\\d*)?L\\b",e:hljs.IMMEDIATE_RE,r:0},{cN:"number",b:"\\b\\d+\\.(?!\\d)(?:i\\b)?",e:hljs.IMMEDIATE_RE,r:1},{cN:"number",b:"\\b\\d+(?:\\.\\d*)?(?:[eE][+\\-]?\\d*)?i?\\b",e:hljs.IMMEDIATE_RE,r:0},{cN:"number",b:"\\.\\d+(?:[eE][+\\-]?\\d*)?i?\\b",e:hljs.IMMEDIATE_RE,r:1},{cN:"keyword",b:"(?:tryCatch|library|setGeneric|setGroupGeneric)\\b",e:hljs.IMMEDIATE_RE,r:10},{cN:"keyword",b:"\\.\\.\\.",e:hljs.IMMEDIATE_RE,r:10},{cN:"keyword",b:"\\.\\.\\d+(?![\\w.])",e:hljs.IMMEDIATE_RE,r:10},{cN:"keyword",b:"\\b(?:function)",e:hljs.IMMEDIATE_RE,r:2},{cN:"keyword",b:"(?:if|in|break|next|repeat|else|for|return|switch|while|try|stop|warning|require|attach|detach|source|setMethod|setClass)\\b",e:hljs.IMMEDIATE_RE,r:1},{cN:"literal",b:"(?:NA|NA_integer_|NA_real_|NA_character_|NA_complex_)\\b",e:hljs.IMMEDIATE_RE,r:10},{cN:"literal",b:"(?:NULL|TRUE|FALSE|T|F|Inf|NaN)\\b",e:hljs.IMMEDIATE_RE,r:1},{cN:"identifier",b:"[a-zA-Z.][a-zA-Z0-9._]*\\b",e:hljs.IMMEDIATE_RE,r:0},{cN:"operator",b:"<\\-(?!\\s*\\d)",e:hljs.IMMEDIATE_RE,r:2},{cN:"operator",b:"\\->|<\\-",e:hljs.IMMEDIATE_RE,r:1},{cN:"operator",b:"%%|~",e:hljs.IMMEDIATE_RE},{cN:"operator",b:">=|<=|==|!=|\\|\\||&&|=|\\+|\\-|\\*|/|\\^|>|<|!|&|\\||\\$|:",e:hljs.IMMEDIATE_RE,r:0},{cN:"operator",b:"%",e:"%",i:"\\n",r:1},{cN:"identifier",b:"`",e:"`",r:0},{cN:"string",b:'"',e:'"',c:[hljs.BE],r:0},{cN:"string",b:"'",e:"'",c:[hljs.BE],r:0},{cN:"paren",b:"[[({\\])}]",e:hljs.IMMEDIATE_RE,r:0}]}};
hljs.initHighlightingOnLoad();
</script>
</head>
<body>
<!-- Automatically generated by RStudio [12861c30b10411e1afa60800200c9a66] -->
<h3>log curve.R</h3>
<p>shill — <em>Jun 20, 2013, 5:24 PM</em></p>
<pre><code class="r">d <- read.csv("~/Documents/R Scripts/Data/Decay function.csv")
logEstimate <- lm(y~log(x),data=d)
plot(d)
xvec <- seq(0,7000,length=32)
logpred <- predict(logEstimate,newdata=data.frame(x=xvec))
lines(xvec,logpred)
coef(logEstimate)
</code></pre>
<pre><code>(Intercept) log(x)
122768 -39248
</code></pre>
<pre><code class="r">## (Intercept) log(x)
## 0.6183839 0.0856404
curve(122768.33-39247.57*log(x),add=TRUE,col=2)
with(as.list(coef(logEstimate)),
curve(`(Intercept)`+`log(x)`*log(x),add=TRUE,col=4))
</code></pre>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfgAAAH4CAYAAACmKP9/AAAEJGlDQ1BJQ0MgUHJvZmlsZQAAOBGFVd9v21QUPolvUqQWPyBYR4eKxa9VU1u5GxqtxgZJk6XtShal6dgqJOQ6N4mpGwfb6baqT3uBNwb8AUDZAw9IPCENBmJ72fbAtElThyqqSUh76MQPISbtBVXhu3ZiJ1PEXPX6yznfOec7517bRD1fabWaGVWIlquunc8klZOnFpSeTYrSs9RLA9Sr6U4tkcvNEi7BFffO6+EdigjL7ZHu/k72I796i9zRiSJPwG4VHX0Z+AxRzNRrtksUvwf7+Gm3BtzzHPDTNgQCqwKXfZwSeNHHJz1OIT8JjtAq6xWtCLwGPLzYZi+3YV8DGMiT4VVuG7oiZpGzrZJhcs/hL49xtzH/Dy6bdfTsXYNY+5yluWO4D4neK/ZUvok/17X0HPBLsF+vuUlhfwX4j/rSfAJ4H1H0qZJ9dN7nR19frRTeBt4Fe9FwpwtN+2p1MXscGLHR9SXrmMgjONd1ZxKzpBeA71b4tNhj6JGoyFNp4GHgwUp9qplfmnFW5oTdy7NamcwCI49kv6fN5IAHgD+0rbyoBc3SOjczohbyS1drbq6pQdqumllRC/0ymTtej8gpbbuVwpQfyw66dqEZyxZKxtHpJn+tZnpnEdrYBbueF9qQn93S7HQGGHnYP7w6L+YGHNtd1FJitqPAR+hERCNOFi1i1alKO6RQnjKUxL1GNjwlMsiEhcPLYTEiT9ISbN15OY/jx4SMshe9LaJRpTvHr3C/ybFYP1PZAfwfYrPsMBtnE6SwN9ib7AhLwTrBDgUKcm06FSrTfSj187xPdVQWOk5Q8vxAfSiIUc7Z7xr6zY/+hpqwSyv0I0/QMTRb7RMgBxNodTfSPqdraz/sDjzKBrv4zu2+a2t0/HHzjd2Lbcc2sG7GtsL42K+xLfxtUgI7YHqKlqHK8HbCCXgjHT1cAdMlDetv4FnQ2lLasaOl6vmB0CMmwT/IPszSueHQqv6i/qluqF+oF9TfO2qEGTumJH0qfSv9KH0nfS/9TIp0Wboi/SRdlb6RLgU5u++9nyXYe69fYRPdil1o1WufNSdTTsp75BfllPy8/LI8G7AUuV8ek6fkvfDsCfbNDP0dvRh0CrNqTbV7LfEEGDQPJQadBtfGVMWEq3QWWdufk6ZSNsjG2PQjp3ZcnOWWing6noonSInvi0/Ex+IzAreevPhe+CawpgP1/pMTMDo64G0sTCXIM+KdOnFWRfQKdJvQzV1+Bt8OokmrdtY2yhVX2a+qrykJfMq4Ml3VR4cVzTQVz+UoNne4vcKLoyS+gyKO6EHe+75Fdt0Mbe5bRIf/wjvrVmhbqBN97RD1vxrahvBOfOYzoosH9bq94uejSOQGkVM6sN/7HelL4t10t9F4gPdVzydEOx83Gv+uNxo7XyL/FtFl8z9ZAHF4bBsrEwAAQABJREFUeAHt3Qe4FNX5x/EzgojSey8C9hKxY4nRGDXYokYTC1FUUGNQmqAmMZoiqDR7S8RgwfJXE40lauyKBUURsAIqKr0XEcX5/168e59l7+51btndM7Pf8zwvM3Nmdvacz1nuuzM7sxuEYegoCCCAAAIIIJAsgU2S1R16gwACCCCAAAImQILndYAAAggggEACBUjwCRxUuoQAAggggAAJntcAAggggAACCRQgwSdwUOkSAggggAACJHheAwgggAACCCRQgASfwEGlSwgggAACCJDgeQ0ggAACCCCQQAESfAIHlS4hgAACCCBAguc1gAACCCCAQAIFSPAJHFS6hAACCCCAAAme1wACCCCAAAIJFCDBJ3BQ6RICCCCAAAIkeF4DCCCAAAIIJFCABJ/AQaVLCCCAAAIIkOB5DSCAAAIIIJBAARJ8AgeVLiGAAAIIIECC5zWAAAIIIIBAAgVI8AkcVLqEAAIIIIAACZ7XAAIIIIAAAgkUIMEncFDpEgIIIIAAAiR4XgMIIIAAAggkUIAEn8BBpUsIIIAAAgiQ4HkNIIAAAgggkEABEnwCB5UuIYAAAgggQILnNYAAAggggEACBUjwCRxUuoQAAggggAAJntcAAggggAACCRQgwSdwUOkSAggggAACJHheAwgggAACCCRQgASfwEGlSwgggAACCJDgeQ0ggAACCCCQQAESfAIHlS4hgAACCCBAguc1gAACCCCAQAIFSPAJHFS6hAACCCCAAAme1wACCCCAAAIJFCDBJ3BQ6RICCCCAAAIkeF4DCCCAAAIIJFCABJ/AQaVLCCCAAAIIkOB5DSCAAAIIIJBAARJ8AgeVLiGAAAIIIOBdgg+CoK6iGUODAAIIIIAAAtUX8CLBK6HXU1yumKOurFMs0fxqxTRF3+p3j0cigAACCCBQmgJ1Pen2tWpHW8XhilmK1YrGiu0V45Tk64dheKPmKQgggAACCCAQQSBQ4oywWX43UQKfrWfopbbMy3wmrdtbdZdp3aGZ61hGAAEEEEAAgewCXpyiV9OmKQ7M3kR3hOoX5lhHNQIIIIAAAghkEfDlCL6n2na3YqVipmKFooliO4V9jNBbR/CfakpBAAEEEEAAgQgCXiR4a6d9zq5JL0U3RWeFXXD3keIFJffif46ghlAQQAABBBCIi4AXF9kpudcT2CWKPooOikCxRmGfzY9WjFdQEEAAAQQQQCCigBcJXm3lKvqIA8ZmCCCAAAIIRBHw4hQ9V9FHGSq2QQABBBBAILoAV9FHt2JLBBBAAAEEYiPgyxE8V9HH5iVDQxFAAAEE4iDgRYI3qLSr6Ltq0b7Vzu595yp6IVAQQAABBBCoqoA3CT7VcCV6u/Cvke6MW5qqY4oAAggggAACVRPw4jN4u01OwY/NVG3s2BoBBBBAAIGcAtwml5OGFQgggAACCMRXwItT9Dp6L8iPzeh5fqmh8uVNTXxfNbQcAQQQQCCqwAJ95PxM1I1rcztfkl3qx2YmZulcrfzYjJL7cdr3YMU/szwHVQgggAACCORD4I/KPycryb+dj51Xtk9fErx9Te3dQhikadYfm6msExHXWV8nCPnmiNuzGQIIIIAAAjUSUF7bWjsoyvVuXiR4Jd0pQrB74e3HZroqUrfJ3aj5yD82o3301/YnKbIV+xEbe/NwU7aV1CGAAAIIIJAkAS8SvIEqya/V5FklaWtTtW6T0z5u0WMtKhTtd6wq21RYQQUCCCCAAAIJFCjKaYNMRyVfbpPLRGEZAQQQQACBGgj4cgTPr8nVYBB5KAIIIIAAApkCXhzBq1GHKM7SKfapilUKK8sVk1R/vuIXCgoCCCCAAAIIRBTwJcGnbpPL1uxauU0u246pQwABBBBAIKkCvpyiL8RtckkdQ/qFAAIIIIBABQEvErxOxWe7Te4rtdauiH9W68MKLacCAQQQQAABBHIKeHGKXlfRT1ALuyqPP6vpK4r9FCMV9ymu1fpNNS1a0fPvqzhKsUPRGsETI4AAAgggUAUBLxK82rujokFZuy/S9H1Fe8U+iq4KqytKUVIfrSc+U7GV4r9a/l1RGsKTIoAAAgggUAUBXxJ8epMP1cKlOppfovhQ839Q/ERR8KJkfoaedBO1o6/CEr195eAxqrczDBQEEEAAAQS8FfApwe+jxNlOUq8qWqSJ7aT5KWnLhZy1Mwg3p55QSX6N5u2efaunIIAAAggg4K2ALwn+LgkdqXhH0VsxQuGU8C/VZIyiWL8AZwm9tSK9dNGC1VMQQAABBBDwVsCXq+jt9LeFJfUOmjS2eZUnFKN05Lxqw1Lh/7lNTzlGbbIv4flQU/vCnXGKJoVvCs+IAAIIIIBAdAEvEnx6c5VIv9Cyhf0AzatKqnUUm2n+6/TtCjGv57Tb9y7Qc92uqd22N0vRRfUrCvH8PAcCCCCAAALVFfDiFL2SZyfFBMUqxVOKHmkdOl7zd6QtF3RWyXyyYh/FTxX9FJ8VtAE8GQIIIIAAAtUQ8CLBq92DFHMVuyvs++dfUJK3K9YpCCCAAAIIIFANAV9O0duFdT11dGynwS9Rcp+hqd1zzu1o1RhUHoIAAggggIAvR/CW0O3ofUNRor9HM3Y72uOK9FvmNqznHwQQQAABBBCoXMCXBH+Tmnm/jtiHp5qrJG+3xz2gGJuqY4oAAggggAAC0QS8OEWvZP6kknt3NblberNVf5nqn1edraMggAACCCCAQEQBLxK8tVXJfLUm72a2W/XPqc6CggACCCCAAAIRBXw5RR+xuWyGAAIIIIAAAlEESPBRlNgGAQQQQACBmAmQ4GM2YDQXAQQQQACBKAIk+ChKbIMAAggggEDMBEjwMRswmosAAggggEAUARJ8FCW2QQABBBBAIGYCJPiYDRjNRQABBBBAIIoACT6KEtsggAACCCAQMwESfMwGjOYigAACCCAQRYAEH0WJbRBAAAEEEIiZAAk+ZgNGcxFAAAEEEIgiQIKPosQ2CCCAAAIIxEyABB+zAaO5CCCAAAIIRBEgwUdRYhsEEEAAAQRiJkCCj9mA0VwEEEAAAQSiCJDgoyixDQIIIIAAAjETIMHHbMBoLgIIIIAAAlEESPBRlNgGAQQQQACBmAmQ4GM2YDQXAQQQQACBKAIk+ChKbIMAAggggEDMBEjwMRswmosAAggggEAUARJ8FCW2QQABBBBAIGYCJPiYDRjNRQABBBBAIIoACT6KEtsggAACCCAQMwESfMwGjOYigAACCCAQRYAEH0WJbRBAAAEEEIiZAAk+ZgNGcxFAAAEEEIgiQIKPosQ2CCCAAAIIxEyABB+zAaO5CCCAAAIIRBEgwUdRYhsEEEAAAQRiJkCCj9mA0VwEEEAAAQSiCJDgoyixDQIIIIAAAjET8C7BB0FQV9EsZo40FwEEEEAAAa8EvEjwSuj1FJcr5khnnWKJ5lcrpin6eiVGYxBAAAEEEIiBQF1P2nit2tFWcbhilmK1orFie8U4Jfn6YRjeqHkKAggggAACCEQQ8OIIXu08RHGWkvhUxSqFleWKSao/X/ELBQUBBBBAAAEEIgr4kuCnqb0H5mjzEapfmGMd1QgggAACCCCQRcCXU/SXqG1361T8IE1nKlYomii2U1gbeysoCCCAAAIIIBBRwIsEr1PxU5Tce6rNvRTdFJ0Vbyjsc/cX7Hy9phQEEEAAAQQQiCjgRYJXcq+n9tpRfB9FB0WgWKOYrRitGK+gIIAAAggggEBEAS8SvNrKVfQRB4zNEEAAAQQQiCLgy0V2XEUfZbTYBgEEEEAAgYgCviR4rqKPOGBshgACCCCAQBQBX07RcxV9lNFiGwQQQAABBCIKeJHgM66i76q227fa2b3vXEUvBAoCCCCAAAJVFfAiwVujleTXavKsrqi3NjXS8lKrpyCAAAIIIIBA1QW8+AzebpNT8GMzVR8/HoEAAggggEBWAV+O4LlNLuvwUIkAAggggED1BLw4glfTuU2ueuPHoxBAAAEEEMgq4EuC5za5rMNDJQIIIIAAAtUT8OUUPbfJVW/8eBQCCCCAAAJZBbxI8LV1m5wu1OuvXp6UtafOdVe9fbc9BQEEEEAAgcQLeJHgTbk2bpPTPm7RriwqFCX/sapsU2EFFQgggAACCCRQwIvP4LlNLoGvLLqEAAIIIFBUAV+O4LlNrqgvA54cAQQQQCBpAl4cwQuV2+SS9sqiPwgggAACRRXwJcFzm1xRXwY8OQIIIIBA0gR8OUXPbXJJe2XRHwQQQACBogp4keAzbpPrJpHOijcU/JpcUV8ePDkCCCCAQFwFvEjwdhW9AO0ovo+igyJQrFHYfeujFeMVFAQQQAABBBCIKOBFgldbuYo+4oCxGQIIIIAAAlEEfLnIjqvoo4wW2yCAAAIIIBBRwJcEz1X0EQeMzRBAAAEEEIgi4Mspeq6ijzJabIMAAggggEBEAS8SfMZV9F3V9raKhQquohcCBQEEEEAAgaoKeJHgrdGpH5vJ7ICusK+jqKv1X2euYxkBBBBAAAEEsgt48Rm8EngnxQTFKsVTih5pzT1e83ekLTOLAAIIIIAAAj8g4EWCVxsHKeYqdldMUrygJL+1phQEEEAAAQQQqIaAL6foe6vtPXUa/itNL1Fyn6HpfzXdrxp94iEIIIAAAgiUvIAvR/CW0O3ofUNRor9HM/blN48rWmyo5B8EEEAAAQQQiCzgS4K/SS2+X0fsw1MtV5Ifo/kHFGNTdUwRQAABBBBAIJqAF6folcyfVHLvriZ3S2+26i9T/fOqs3UUBBBAAAEEEIgo4EWCt7Yqma/W5N3Mdqv+OdVZUBBAAAEEEEAgooAvp+gjNpfNEEAAAQQQQCCKAAk+ihLbIIAAAgggEDMBEnzMBozmIoAAAgggEEWABB9FiW0QQAABBBCImQAJPmYDRnMRQAABBBCIIkCCj6LENggggAACCMRMgAQfswGjuQgggAACCEQRIMFHUWIbBBBAAAEEYiZAgo/ZgNFcBBBAAAEEogiQ4KMosQ0CCCCAAAIxEyDBx2zAaC4CCCCAAAJRBEjwUZTYBgEEEEAAgZgJkOBjNmA0FwEEEEAAgSgCJPgoSmyDAAIIIIBAzARI8DEbMJqLAAIIIIBAFAESfBQltkEAAQQQQCBmAiT4mA0YzUUAAQQQQCCKAAk+ihLbIIAAAgggEDMBEnzMBozmIoAAAgggEEWABB9FiW0QQAABBBCImQAJPmYDRnMRQAABBBCIIkCCj6LENggggAACCMRMgAQfswGjuQgggAACCEQRIMFHUWIbBBBAAAEEYiZAgo/ZgNFcBBBAAAEEogiQ4KMosQ0CCCCAAAIxEyDBx2zAaC4CCCCAAAJRBEjwUZTYBgEEEEAAgZgJkOBjNmA0FwEEEEAAgSgCJPgoSmyDAAIIIIBAzARI8DEbMJqLAAIIIIBAFAESfBQltkEAAQQQQCBmAt4l+CAI6iqaxcyR5iKAAAIIIOCVgBcJXgm9nuJyxRzprFMs0fxqxTRFX6/EaAwCCCCAAAIxEKjrSRuvVTvaKg5XzFKsVjRWbK8YpyRfPwzDGzVPQQABBBBAAIEIAl4cwaudhyjOUhKfqlilsLJcMUn15yt+oaAggAACCCCAQEQBXxL8NLX3wBxtPkL1C3OsoxoBBBBAAAEEsgj4cor+ErXtbp2KH6TpTMUKRRPFdgprY28FBQEEEEAAAQQiCniR4HUqfoqSe0+1uZeim6Kz4g2Ffe7+gp2v15SCAAIIIIAAAhEFvEjwSu711F47iu+j6KAIFGsUsxWjFeMVFAQQQAABBBCIKOBFgldbuYo+4oCxGQIIIIAAAlEEfLnIjqvoo4wW2yCAAAIIIBBRwJcEz1X0EQeMzRBAAAEEEIgi4Mspeq6ijzJabIMAAggggEBEAS8SfMZV9F3VdvtWO7v3navohUBBAAEEEECgqgJeJHhrtJL8Wk2e1RX11qZGWl5q9RQEEEAAAQQQqLqAF5/B221yCn5spurjxyMQQAABBBDIKuDLETy3yWUdHioRQAABBBConoAXR/BqOrfJVW/8eBQCCCCAAAJZBXxJ8Nwml3V4qEQAAQQQQKB6Ar6couc2ueqNH49CAAEEEEAgq4AXCb62bpPThXqnq5e/ytpT57ZR/Sc51lGNAAIIIIBAogS8SPAmWku3yf1Tu7ozxwhdpfrWOdZRjQACCCCAQKIEvPgMvrZuk9ObhPWKddlCo/adgp+dTdTLl84ggAACCOQS8OUIntvkco0Q9QgggAACCFRDwIsjeLWb2+SqMXg8BAEEEEAAgVwCviR4bpPLNULUI4AAAgggUA0BX07Rc5tcNQaPhyCAAAIIIJBLwIsEr4vipuhCu55qZC9FV4X9mtxXilsUz2o9F8cJgoIAAggggEBUAS9O0Su5T1CDuyqPP6vpK4r9FCMV9ymu1fpNNaUggAACCCCAQEQBLxK82rqjokFZmy/S9H1Fe8U+iq4Kq6MggAACCCCAQEQBXxJ8enMP1cKlOppfovhQ839Q/ERBQQABBBBAAIGIAj4l+H10Kr6d2v2qokVa+3fS/JS0ZWYRQAABBBBA4AcEvLjITm28S3Gk4o+KJoq1ihOV8C/V9FzFTxUUBBBAAAEEEIgo4EWC16n40WqvhVNS76BJY5tXeUIxSutXbVjiHwQQQAABBBCIJOBFgk9vqZL5F1q2sB+gsdP1FAQQQAABBBCoooBPn8FXselsjgACCCCAAAK5BLw4gtdp+SFq4Ka5Gqn693U0/69K1rMKAQQQQAABBNIEvEjwak9Xxe8U9nvuqxWZZWFmBcsIIIAAAgggkFvAiwSvo/MBOoq3jws20bxdNU9BAAEEEEAAgRoI+PQZ/HD1o7ESfcMa9IeHIoAAAggggIAEvDiCt5HQkbvdCneyzVMQQAABBBBAoGYCPh3B16wnPBoBBBBAAAEEygVI8OUUzCCAAAIIIJAcARJ8csaSniCAAAIIIFAuQIIvp2AGAQQQQACB5AiQ4JMzlvQEAQQQQACBcgESfDkFMwgggAACCCRHgASfnLGkJwgggAACCJQLkODLKZhBAAEEEEAgOQIk+OSMJT1BAAEEEECgXIAEX07BDAIIIIAAAskRIMEnZyzpCQIIIIAAAuUCJPhyCmYQQAABBBBIjgAJPjljSU8QQAABBBAoFyDBl1MwgwACCCCAQHIEcv5crH6XfaC62UQxQT/lOjs5XaYnCCCAAAIIJF+gsiP4R9X9RoqXlOyfU5ymaJh8EnqIAAIIIIBA/AVyJngdtX+kGKoudlaMUPxY8Z6S/O2KvTVPQQABBBBAAAFPBXIm+LT2Ntf81mXxraaLFeOU5O/RlIIAAggggAACHgpU9hn8/mrvhQqb/kdxmeJ/Oqr/Tsnd3hh8oWlXLX+ieQoCCCCAAAIIeCRQ2RG8HbU/ouikJH6S4ilL7tb2smlfzX5hy6VQ+gbjbyqFftJHBBBAAIFkCORM8Eri/1DcpFierauqf0LxTbZ1Saz71HU9ZHBwlZ3NoCCAAAIIIOC9QM4E733LC9zANm7+9BWu6eEFflqeDgEEEEAAgWoJkOAjsjVxi19a5prvFXFzNkMAAQQQQKCoAiT4iPwN3Yp/z3Ntt4m4OZshgAACCCBQVAESfET+UeFF79dz674eElyxT8SHsBkCCCCAAAJFEyDBV4G+tVswY4Vr1rsKD2FTBBBAAAEEiiJAgq8CexO36GV9Dt+rCg9hUwQQQAABBIoiQIKvAnszt8o+h9+2Cg9hUwQQQAABBIoiQIKvAvvIcPj0Om79t4ODK/eswsPYFAEEEEAAgYILkOCrSK774Wesdk2PqOLD2BwBBBBAAIGCCpDgq8jd3C16aalrxufwVXRjcwQQQACBwgqQ4KvovYVb+Z/5rg2fw1fRjc0RQAABBAorQIKvovfocPg7ekg4NBi5WxUfyuYIIIAAAggUTMC7BK+foK2raFYwgWo8kT6Hf2+la87n8NWw4yEIIIAAAoUR8CLBK6HXU1yumKNur1Ms0fxqxTSF/SytV6W5W6L74Zvu7VWjaAwCCCCAAAJpAl4keLXnWsUOCvu1tsYKa1d7RT/F2Ury52jqTWnoltz3heuwSxDcX8ebRtEQBBBAAAEE0gR8SfCHqE1n6fflpypWKawsV0xS/fmKX6S1ueiz9r30Dd2qpYPc58cVvTE0AAEEEEAAgSwCviT4aWrbgVnaZ1X2WffCHOuKVt3effncQtf6l0VrAE+MAAIIIIBAJQJ1K1lXyFWX6Mnu1qn4QZrOVKxQNFFsp7A2evcDL83cgjsnu14T1TYKAggggAAC3gl4cQSvU/FTJNNTMVzxpOITxdOK8xQ7av2nmnpVdLvcK/ra2vUXBKMO8qphNAYBBBBAAAEJ+HIE75TE16o9z+oo3trUSMtLfR+hTm7Oywtdq1PUzmd8byvtQwABBBAoLQEvjuCV1GN1m1zqJdLCLdDV9O33Sy0zRQABBBBAwBcBLxK8MGJ1m1xq8MaEQx9Z6zZvMCQYaR8vUBBAAAEEEPBGwJcEH6vb5NJHr6ObM3m5a3Vqeh3zCCCAAAIIFFvAlwQfu9vkUgPXxi144EvXLtctfqnNmCKAAAIIIFBQAV8SvN0md4k+i39dMVFxs+IexTuqP0bx+4KqVOHJXnKbT1zmmrcZFIzsWoWHsSkCCCCAAAJ5FfAiwWfcJme3x81TeH2bXGpUJof9v9Fp+ndXu2befWd+qo1MEUAAAQRKT8CL2+R0pF5P9HYU30fRQREo1ihmK0Yrxiu8LW3dvAdnu65nqIF/8raRNAwBBBBAoKQEvDiCl3gsr6JPvVJecZv9falr3n5IcMWPUnVMEUAAAQQQKKaALwk+tlfR2+DZafot3eznF7u2A4s5mDw3AggggAACKQFfEnxsr6JPQbZyc2+Y7bY8OAg2fLyQqmaKAAIIIIBAUQS8+AxePY/dj81kjtaY8IIXfx48sXyAG6d74gfenrmeZQQQQAABBAop4EWCt6vodaGdfRtcL0VXRVuF/UTsjYoXtD7U9AeL9mG/z57rl+f21Lr5P7iTGmzQ0X32r7muo10oeHsNdsNDEUAAAQQQqLGAFwneeqEcXhs/NvOsdmW/TJet2L30jbOtqK26Bm7RtdPdzmcODC5vMy68OK9vJmqrzewHAQQQQCCZAl58Bm+3ySkuV8wR8zrFEs2vVkxTRL6/XG8SlihmZQvt035j/htF3ooldd0TP3WVazUob0/CjhFAAAEEEIgg4EWCVztjfZtcunN79/ntc1yXo9PrmEcAAQQQQKDQAr4k+FjfJpc+aOPCQXevdfW3GBJceWB6PfMIIIAAAggUUsCXBB/72+TSB62bm/n4XNdpQHod8wgggAACCBRSwJeL7GJ/m1z6oDV3X/5tkjvojSHB3zqNDn9v1xVQEEAAAQQQKKiAF0fwuijOrny32+SGK55UfKKIxY/NqJ0ViiX1Lu6T1xa7jvbGhYIAAggggEDBBXw5gq+t2+QKDpjrCTu7OX952e37798EoxpMCIeuzrUd9QgggAACCORDwIsjeN0KVyu3yeUDqLr7vCIcNrm1WzC7vms0rLr74HEIIIAAAghUV8CLBK/GJ+Y2ufSB6OxmXz3T9TglvY55BBBAAAEECiHgS4JPzG1y6YM2Lhx8/6bu26/PC67ul17PPAIIIIAAAvkW8CXBJ+o2ufRB6+Y+/vts1/3s9DrmEUAAAQQQyLeALwnerja/RJ/Fv66YqLhZcY/iHdUfo7DvkY9ludG1vnqla9TygmDUQbHsAI1GAAEEEIilgBcJPmm3yaW/EsLw+PVbuQ/u+MhtdXl6PfMIIIAAAgjkU8C72+Ty2dli7Vs3+V/W0DXtMzAYc5Q+l3+4WO3geRFAAAEESkfAiwSvU/FDRL5pJezv6yj/X5Ws93rV5LD/N+cEN9wy0239JzWUBO/1aNE4BBBAIBkCXpyiF2VXxQjFtopOWaKF6mJdbnKtRq52DZqdH4z9daw7QuMRQAABBGIh4MURvI7OB+go3t5sbKL5c2Mhl6OR6oedibA+7KdYq7hKfXrHPov/bXD9dR+5bS9W3T0KCgIIIIAAAnkT8OUI3jpo30PfWAmyYd56W5gdP6Kn2V4xUHGVYrT6dJCm7kZ37thv3Kb1zwvGnW7LFAQQQAABBPIl4E2C11HuKsXJNs1XZ/O937JEvl596K/4XGG3+dk98Ofbc4ehC7dz7439wG0/1JYpCCCAAAII5EvAmwSfrw4WeL9N9Hz2K3jpZZYWGqcqrgkH3FjHrbfT9YNTdUwRQAABBBCobQESfO2Kvqfd/VRH8o3Sdnu45jc6K7GNmzFsutt50G+Dkc3StmMWAQQQQACBWhMgwdcapZ2CD9/X7iYqlinJn6KwU/G/VZyqKC9jwyGPt3Vzp61yHcaVVzKDAAIIIIBALQqQ4GsR03alJH+XJnso7LT8IsWvVLdE041KBzfr3Fmu2yFDgpE9N1rBAgIIIIAAArUgQIKvBcTMXSihv6W4QXG7YkXmelseE144axv3wX2z3Tb2U7kUBBBAAAEEalWABF+rnFXb2Vy3etgy17TD+cG4PlV7JFsjgAACCCBQuQAJvnKfvK59LBzw9Y5u6uUz3I5/DIL76+T1ydg5AggggEBJCZDgizzc14Tn39rYrZh7qltza5GbwtMjgAACCCRIgATvwWB2cR/2/dj1OGxwcNUBHjSHJiCAAAIIJECABO/BINoFdzu5d66f4Xa+kVP1HgwITUAAAQQSIECC92QQbwx/+7d67uvVp7uVYzxpEs1AAAEEEIixAAneo8Hb3r132gdumxOGBiN386hZNAUBBBBAIIYCJHiPBm1kOHz69m7GhA/cjlxw59G40BQEEEAgjgIkeM9G7Zawn/1s7nd9g/E3edY0moMAAgggECMBEryHg7WVm/brj91WRw4ORh3pYfNoEgIIIIBADARI8B4Okq6q/3hX99Zlb7k9ruMX5zwcIJqEAAIIxECABO/pIF0dnndLe/flW4tc93s9bSLNQgABBBDwWIAE7/Hg1HVfnLLYNe9+dnCd/ewsBQEEEEAAgcgCJPjIVIXfcEI4dPWP3FunTXM9Bw0Jrty78C3gGRFAAAEE4ipAgvd85MaEF7y4o3v7miluj7t/F4xo4XlzaR4CCCCAgCcCJHhPBqKyZtwUnntFOzd3ypdu239Vth3rEEAAAQQQSAmQ4FMSnk8/cKt+vdbVb9I3uO06z5tK8xBAAAEEPBAgwXswCFGaMDns/8227p1jZ7keRw8Mxp4U5TFsgwACCCBQugIk+BiN/ff3x79x/mS35yguuovRwNFUBBBAoAgCJPgioNfkKceGQx7c2b099k23171Dgr91qsm+eCwCCCCAQHIFSPAxHNsbwnOv6uo+efI9t+tjJwRjN49hF2gyAggggECeBUjweQbO1+5vD0/t18CtXuBcx4fz9RzsFwEEEEAgvgIk+PiOnQvcnCNWuYZtTgv+eVuMu0HTEUAAAQTyIECCzwNqoXZ5Xzjoq23clEO/cB32PzP4x5hCPS/PgwACCCDgvwAJ3v8xqrSFY8OL5+7s3jj8Y9fjuLOC6y+udGNWIoAAAgiUjAAJPgFDPTq86MO93GvHzXA/Ove84Op+CegSXUAAAQQQqKEACb6GgL48/Ipw2OQ93KS+U9xulw4KRh/rS7toBwIIIIBAcQRI8MVxz8uz6odpntzdvTbgDbf3dQODMcfn5UnYKQIIIIBALARI8LEYpuiNtC/C2dO9PnCy2+tqjuSju7ElAgggkDQBEnzSRlT9GRMOum939/rQ19w+N5wfjOuTwC7SJQQQQACBHxAgwf8AUFxXjwsH3b2Pe/7wZ9zB1/PjNHEdRdqNAAIIVF/AuwQfBEFdRbPqd4lHpgRGhRe+eZB7qr9+nGY0R/IpFaYIIIBAaQh4keCV0OspLlfMEfs6xRLNr1ZMU/QtjaHITy+vDgfds6eb1P9Nt8cV5wXXnpOfZ2GvCCCAAAK+CXiR4IVyrWIHxeGKxgprV3uF3dN9tpI8iUkQ1S1jwqGP9HKTTpniev7hnOC6QdXdD49DAAEEEIiPgC8J/hCRnRWG4VTFKoWV5YpJqj9f8Yv4kPrZ0qvCoc/s6V7Rl+HsPPCM4O+j/GwlrUIAAQQQqC0BXxL8NHXowBydOkL1C3Oso7oKAqPDYa/u4V4+9DPX9eg+wZ13V+GhbIoAAgggEDOBQEfJRW+yTsH3VCMs4axUzFSsUDRRbKeoq+itdn6qabWLnmOsHtxG+zmp2jtJyAMHBpe3+dDt8mRD/dzsLLe09+Sw/zcJ6RrdQAABBLwSUO4ZrQbdpdzzVqEb5sURvDo+RR23JD9c8aTiE8XTivMUO9Y0uWsflDSBceHF8xu6D/Ze7+rUa+/avmIJP201swgggAACCRDwIsGbo5L4WsWzmr1DcZPm/654XlH8UwzWwIQV+6nZB92xP2nqln841fWaNDQYuVvCukh3EEAAgZIW8CLB6xQGt8kV4WWot07hhLDPyVu5D8a/6vZ/eHAw9oQiNIOnRAABBBDIg4AXCV794ja5PAxu1F3eHJ79F/1IzcA33B5j+wc3Xxb1cWyHAAIIIOCvgC8JntvkivwaGRcOvn8v99JRs133E08MJv67d3DtZkVuEk+PAAIIIFADAV8SfEnfJqePKBorTlH0U2xfg/Gs0UPtq223cpP3Wuc2a+pcjzcGBSO71miHPBgBBBBAoGgCviT4SyRwiZLb64qJipsV9yjeUf0xit8XTSjPT6w+ttRT3Kuwb+77VjFddXbvf1HKDeGFSx8Ijz2gnZv74ltunxf4ydmiDANPigACCNRYwIsErwvlS/k2OUvu18jgSsV4zbdW/FZJvkuNR7cGO/hHePq5Pd2UP+h35a89I7jt6hrsiocigAACCBRBwIsEb/1WcivV2+Q2Ud8fT4295u1b+15S2HfzF7WMC8+fsJd78adzXbsDjwn+9cp5wYhWRW0QT44AAgggEFnAiwSvo9VSvk1urfrfLmPEfqxl+za/opdR4UXvL3BzdmvoVn3yruv1+uBg1JFFbxQNQAABBBD4QQH7Glgfit0m11ZhvyY3S7FaYb8qZxecjVMCrK8j2xs1X2nRdj/TBvvn2Ghv1XuRNDPad4OWb1Xbh2q6TDFC8a36a0fxXpSyr7I96bzg6n5vuL1v6huMP/x21/ccu4/eiwbSCAQQQACBCgK+fBf9bLWsl5LavMwWKvFZYr5M6w7NXJe5rG27qq5TZn3Z8u80raf92EV7XhW1296U2Nfy1lG8oLhO7bQL7rwrg4ORPT5yO94TuqDONm7qr0aHF33oXSNpEAIIIOCJgP6+F+276H1J8I9oLO5WUpuYOSbC+avqumrdKZnrqrKs/fBjM1UB+4FtdeHdNR+6rY/dyb0z5obw3DE/sDmrEUAAgZIUIMHza3KxfOHr8/iDp7qeNzVzSz/t6D48ZWx48dxYdoRGI4AAAnkSKGaC9+IiOx2dp98mZ78iZ6fqbWqnrfk1OSH4WMaEQ59u7qbuVN+tnf+W2+/1QcG4k31sJ21CAAEESlHAi4vs9A6nnvDty276KDooAsUahX02b59fjFdQPBSwX6VTs04aGIw5/m2365W/Du49ua2b2dd+ktbD5tIkBBBAoGQEvDiClzY/NhPzl5x9l/3W7rVd6rj1a6a4/SfbFfcx7xLNRwABBGIt4MtFdrVyFX1lI8FFdpXp1O46+3rbd9yuo1u6RR91c7POHBkO/6x2n4G9IYAAAvEQKPnP4DVMJf1jM/F4mUZv5dhwyIMd3Zs76rP5uS+5/SadHdxsH79QEEAAAQQKKODLEXxP9fluxUrFTIV9IU0TxXYKu06gty7E+1TTaheO4KtNV6MHDg6uOuB9t+N1OnX/zTZuWj/7xboa7ZAHI4AAAjESKOYRvBcJ3sZKCPU16aXoqrBvtbPvZP9I8YKSe6hpjQoJvkZ8NXpwELjgDHfriPfd9n26u5nP1HXzfvuPcJi9maMggAACiRYoZoL35SK78h+bUS4fr7Cva/234mXN1zi5J/rVE4PO2Vfa/j3sd+F+7qVeX7nNW3/s9p4+ILjm7Bg0nSYigAACsRXwIsHrHc4ExbamqOk2ikc1O0cxT/PXKTa1dZR4C9jFdveFxx/a000epKP5wUcFD78+JLjSvoqYggACCCBQywJeJHj1aUdFg7K+XaTp+4r2in0UXRVWR0mIgG6pe+Bpt3S7tm7+s6+5fR/qE9x13++CES0S0j26gQACCHgh4EuCT8ewH5W5VGfmlyjsh0z+oPiJgpIggTA8fv0tYb/he7rndv/WbbLZO27/qf2CW/66e3ALZ2sSNM50BQEEiifgU4LfR6fi7XfRX1WkH83tpGX7KltKAgXGhL//YmJ44tF7uEm/nufaHdbMdZtxXjDu9AR2lS4hgAACBRXwJcHfpV4fqXhH0VthF9nZ5/GXamK/VPZPBSXBAmPCC158JDxy923d9JHT3U6/Pyr492sXBKMOSnCX6RoCCCCQVwFvbpNL9VJJ3b6LvrFOz7+nebsAa5rmV6XWV3eqfSXm52LVl45yuFCxpSJQDJCRfX9AIkoQ3F+nn1tyyXtuhzPaubnvdXKzho4Oh9ubPwoCCCAQKwH9vbbfU7lLf6PfKnTDfTmCL++3EL5QvGcVmr6qqHFyL995Amb0YmmkbtgdBs8pjlNcprhd9T00TUT5/vP5s/60tXtluwZu1czX3H5PnBLcee+gYGTXRHSQTiCAAAIFEPAuwRegz3F/in7qwGC98fk/xVrFa1q2jzTOinvHMttvX4YzPux79l7uuT11mmL9a+6ASb8J7vjnwODyNpnbsowAAgggsLEACX5jjzgs2RH8jIyGfqFlq09kGR3+fs4d4Skn9XLPHfCNq9t0sjvg7TOC267/bTCyWSI7TKcQQACBWhAgwdcCYoF38Yae71ydkq+T9rz/0LwdySe6jA4v+tCuuN/LvXTYatdgy6lu/xl9g/E3kegTPex0DgEEqilAgq8mXLEeplPyj+m5pyveVZLvr7DkPkP144vVpkI/r11wd0/4q957uxePWOMadFWin943uO06viyn0CPB8yGAgM8C3l1Fny8sJcLEXEVvRuqP3WHQSbFYyf0ZqyvVMjy4cvdPXZc/f+469uzuPnqsmfvy4nHhxfNL1YN+I4CAPwL6W120q+hJ8P68DmhJDQUGB1fsNM91/ttnrvPu3dysZ1u6L/44JrxwVg13y8MRQACBagsUM8Fzir7aw8YDfRMYEw5/9+7wxKP2dC/+OHSbbPqqO+CVk4KJD1vi962ttAcBBBDItwAJPt/C7L/gAjpq//iO8OQT9nbP7FbPrZv/uu6j/2XwwDODg6sOK3hjeEIEEECgSAIk+CLBF/ppdZqovmIPRU9F+hX4hW5KwZ7Pvuf+9vDUftu4l7dt5pZOftPtdfORwX/e0nfdn1awRvBECCCAQJEE+Ay+SPCFfFol9NZ6vusU9g14dr+8HcnupIvzlmtaMsW+Avcct+D8Wa7HmbqffrNububEr92KERPCoatLBoGOIoBAQQX095eL7PItLuREXUUf1Uv9rqdtFyvOVUKfYI9Tnf0Er12Bf7bqQqsrtTIwGHP8Z27L8xa41j3syvsWbt4IO7Vfag70FwEE8itQzATPKfr8jq0Pe99Gjbg3ldytQZr/qyb2k7xtbbkUy7hw8P0Phsfsv5d7sfd3btNGuiDvpeOD//vf4GDUkaXoQZ8RQCB5AnWT1yV6lCGwTsvZPnNvqfqvM7YtucXR4YVT1OkT7NvwvnUtLnzb7XZN7+Dxy7u42fesdmvGcfq+5F4SdBiBxAhwBJ+YoczeER2tf6A1K3Wa6BzbQtNNFJdq9hOtW2J1uYq2O0BxlGKrXNskpf6G8MKlt4T9hj8THrhlD/fB6Hmu/eGzXK+P9eM2d14YXLFDUvpJPxBAoHQESPClMdYXqJtHK1HbN949ovhGcaYia9F2VuyivD6KbRVvavmkrBsnsPKacODtD4W/2GdP99Ih6l7wktvvyaOCf782ILjm7CBw+mE7CgIIIOC/AFfR+z9GBW+hkvnFetLNdYT/R3tyLduvtv1Lcb7q3ra6Uiq9g2s36+w2GaiL8k5a7Ro23dLNfrKl+3L0qPCi90vJgb4igEDVBfT3k6voq85WtUcIuSSvoq+a0vdby+r/NGfJ3H6GdkNR3Smaaay6G8qqSnIyLLhq3y9ch0H67vt9W7mFszu7z25/2dUfPznsb2dFKAgggMBGAsVM8Jyi32goWCgTWKGpXYSXXrprYU16RSnOXxle8PJd4Um/7OYm9Wjrvnx4put+zuZu+9mnBhPusB+9KUUT+owAAn4KcIrez3Epaqv0jnM/NcBOz/fTEftnWv6N5u3naBtpueSTvBw2KoODK/dc7NoOmOW6HdTULZvf3n3+UB237Dq7cG+jDVlAAIGSEyjmETwJvuRebtE6rBflT7TllQpL6DMUlym58xOsgshVdg9u2XRft7bvHNfplHmu3dad3Gdvt3Of36p77h/I9RjqEUAg2QIk+AKMr5D5DL4AzjzF9wJDgr91WuHaDNBP1x6x1tVvoAvznmnu5t84Jhz2OkYIIFA6AiT4Aow1CT7/yDLuqGfZSbFCR/sv5/8Z4/EM+hW7/Re5tmd/6rr+uIFbubS9++KxJm7B9aPD39tvA1AQQCDBAiT4AgwuCT6/yPI9SM9g99tPUuypqK/orURv36RHkYD92M157ouT9CU6J89xnXdp7ebPbuvmPBC61bfeHA4vqR/+4QWBQKkIkOALMNIk+Pwhy9ausLcfaumshL7hqFR1t2h5ppavyN8zx3fPZwRXNtrMNeg313U4bp5r26Oj+3xae/flvdxyF98xpeUIZBMgwWdTqeU6Enwtg6btTrYna7GJkvkNqWrVNdX8nao7IlXHNLvAoODydmtcy3O+dO2PWOxatOviPn2ztZt37zVuoPxcSf7aX3YpahGIn0AxEzw/NhO/14uPLbYfrbFvu0svTbRAckoXyTE/Nrx4rlZdYjEkGLH1Mteq/0dum2H7uZdGnhjMmaxkP/Ea1/H+MDx+fY5dUI0AAghUEOA2uQokVFRVQO9QG+gxExW36oj9ES3bT9HeWrb8uKZZi7Y7Tit+qbA3A1MUf9Tjv9OUIoGhwYjtl7nW/fXNeT9b6Ro11ZH9q63c/Aeudh31878ke14kCMRBoJhH8CT4OLxCYtBGvYjtCP5BRR3FWsXNStY57//W9vZjNwcr7MK81WVTez1eqHlKhsDg4IqdVriWZyjZH6xk36KTm7PhNP7Lbot7+JrcDCwWEfBIgARfgMEQMvfBF8A56lNoPKZr2z2U0O2LdDYU1d2hmdGqK7kftCkjiDSxI/ulrtXp8127ny5xzdvpAr2prd3cfy9w62+7Lxz0VaSdsBECCBREoJgJns/gCzLEPEkWgU/Tk3vZ+i81bZRl2/Iq/WfZSwttFfP0+NfKV5TQjH7Fzr5ZcKh1eXAwsttK1/z0z1zXUxe5Vn88NnjoozZu7hObu6W3jwl/X/5jQSXEQ1cRQKBMgFP0vBSKIqBEfbue+HEl6XutAVreWpOpio6qW2R1mUXbjFBdZ8WrCjvF/7S2HaIpRQLnBSNarXONT1/o2v18rmu/bQu36HNdoPdcU7f4jtHh8HdAQgCBwgvo79ZoPetd+lv1VqGfnQRfaHGeb4OAXvTtNWNHmJcqLKH3UQzRf4Ks34Cn7Y/V+qsVXbTNd1q2X0K036gfr+WHNKWkCfwmGNWgidv014td66P13fi71XdrV3dwX7zc3C18cKwb+h9uv0vDYhaBPAqQ4POIm9q1kPkMPoXhyVRjYlffH6qwb717WYn601xN07ZXad2/tE35GwDV7a+6I1U3rJLH2cV/eyrss+lJ2rYkf7d9UDDqcH1uf5zutd93jduikT63n9LaLXj8W7f6Ln71Lterh3oEai6gv1NFO4LnM/iajx97qKaAkq1dPW9X3kcplqDbZWzYRcs5LyrTf6zttP4axUuK1op7rU7Pu0zzJVXGhkMfVYctNtx+t9K1OFk/hHPKfNfmkiODRz5r6+brx3CW3HdFOGxyScHQWQQSLMAp+gQPbpK6psTcVf35p8IuLrPPsuzo/VlFayXshZpuVLR9Y1UsV+yn9RuO+lV3gZa7avncjTZOW9A2x2uxv2JThX1Rz3HafommiSz2lbkNXf0TF7pWh+kWvD3quPXftnNz32zlFj68xH3zwIRw6OpEdpxOIVAgAf1NKdoRPAm+QIPM09RcQP9RumkvNyss8doV9yOVfN/XtELRtvYG4Citt6ReXlT/hOoOK69Im9G6I7V4qqKftllatmzJ/tdazprotI1dC/ArxfaKFYrrtG3OswpabxcU2vUHhyjsDNr/tP1sTb0o9st3y12L4xe41vsqOumK/Nlt3MLnm7hF944KL3zTi0bSCARiJKD/70VL8Jyij9ELpdSbqkQ4SwY/i+iwRts1St9W/9HqadlO1ecqZ2vF2XqepbaBpvatfDtr9ueK/7O6LOVu1Vnyt3v497Z5PaaNHlvhrILWWXLfQRO7KHCkwq4HmKW6Xtr+Vc1nLVpv7T5J0VzxibZ9MOuGtVA5JrzgRe3Gwv0uGKFvJGxgF+od9qHb+sEDg+e+09H92y3doie/dmvu5hfwagGcXSCQRwESfB5x2XVRBd7Ss9vV9udpep2ivsLeST+gyFXszMCqjJX2ef1mGXUbFrXv3pqxZH5g2frnVDdP84MVF5XVlU+0zvbzmOIkPSb1sYFNR2vdqaqrcG2A6utovX0u/rDiFcUFqjtF019q+5xf66tt7I3Qvgp7ozNe22Z9w6F1Oct14UWLtfL6snDDgqv21RfrHPuJ63zaItfmT72Dx+brs/tXdRvef8aEQx/JuSNWIIBAUQRI8EVh50nzLaCEFirJDdTzTFScoFipsCNn+478XOUFrbhKcaZtoMfbPff25sA+GshWOqrypowVT2r5pxl1qcU2mnlJTduQ3K1S8x/reezugS6KCgledfYG5U1t9wdNrTym7e1jiuMVG75DwCrTi9YP0/JhipEKuzBxgeq21T4+0HzWovW7aIX1ewvFq9r2lswNrwwvsHZvaHvv4NrNOrqlv9EP4xw1x+0wdp9g0i06uv+wuVv0YmO39H7uu8/UYxmBwguQ4AtvzjMWSEBJap2e6rgqPN04bfuokt1/NLWj5r0UP9F+cn1GvsjWK9IT7a5atlP22Yq9yWip/W+ufW74nF7z9hn+wQq7jTNb6a5Ke9ORXuwsxB7pFal57c8+AjhLYXcLWP/tjYq9gbhYcaotZxat3011dnbjj4oFirNVN06PtzdIWcvj7rw9teIIxRzF9h1cl+t2cResW+xaHfSh27bPT4Ln9c5i7rvN3OJnNnfLlPB/P0f7bKJt7WMMK3ZbZObZku/XlP1btr296Wis+EDb28chOYu2t7M0QxRms15xuR7zpqY5ix5jfwN7KezsylvafknOjVmBQMwEuMguZgNGc/MvoD/6dmrbjmSn6w/+l7meUdtZcn60bL0dYW+vsORq9+YvLavfaKLHnKaKQxR/VnyruFPxpLa/RNMKRdv/TZXvab1tt6GobpRmZqvu+rKq8onWHaqFnbVuozcFqv+v6mxdhaJ1dlTeV+s/TK1U3W2aH6+6F1N1qanWbaV523ZLrf9Ey5tr3hLpUC0/pqkbEly593LX7BdLXMt9dLHeVvXdyq9C91zD79zsl990T32w0i0drs06a3t7g1ChlO3TbO2jibcVlynszccJeox9lLJR0faBKt5QPKu4QtFWYW/Y/qLNn9e0QtFDbIztDIy9UbM3G/YGZwdtP0PTrEWPsTcpAxSdFNYeexOx4c2a5rMWPaaDVuynsDdcT2n7St/Y2E70mOaaNFDM1/b2uKIWtaeOGvBLRUvFHLXJxqXSoseYkb2hW6uw11+l/dD29bSdnXlqqJis7e01FvuiftmbZ77JLp8jKWQ7QrLPS0/K5/Ow79IS0OvKEssZCjtytiP0G/Uam6tpzqKHHK6VxyjssXYVfc4jU21riepBhf2ReEdxlMKSo32l7zeablS0vR2ND1b00foNn9Grblst/1PLe220cdmC1j+t2Z9pfXniVN0g1c1UVYU/5Fp3rtYt0Lr7y3ZhCamn5k9T3fmputRU6zbr5rZbuLP79XPr3Y/a6PP7Lg3cl+sC9/r6rVzLv6513933j3CY2ZUXPWaEFuwNVvobmxtUZ4ni3+Ubls1o+96atT6fmFqnuq01P0J1x6Xq0qda/5SW79D6CVavZTsrcaniFNVVOJLXektAltTtzdx/FbsrzOIX2t7eJFQoeoydTbhWYf1oqviLopO2/1zTrEWP6a8VxysWK2zMDtb2MzXNWrS9vY5OUOyssDcP12p7m+Yseoi9Zu211EhhH938To9Zr2mFUrZ/e+P0luJFxW8Vtn+7hXTDa0zzGxU9xt7Q2Bg+qOioOFPRTdtbnyoUbW9vEm9XzFaYzTWKY7X9vzTNWvSYLlpxqcL230oxUNs/p2nOosccqJX2/89e64/+0Pa2Iz3G3vC3UNj/h+lWV5Wix9v/3aIk+LpVaSjbIoDAxgL6D29/KP6+cW3lS3rIo9rC4geLtp2nPxCHaEM7wv+Z4jNFD9VXSO6qt8/039T29kfyS02P0NT+MF2sOEuRq1jyOEZhf4ztD5r9sb1AYc+bq1hSSS+2bBbZSvdZ7r37Z4aXWFLR/u+vM9B9dvQ0t3bkJ677wCWu3YjewePzdHX+FH3Zzv9Wuq8f0matFTfb9mnlac3bUWG20liVkzJWfKplS6q5yqby2pDcbQPNv66+WxLbRfGM1WUUS+bXa7vryuo/0vaWIC3h2RmZjYrW2XO/oNhDj5lmK1X3niaW+PrYcmbR+hNVt4/iCD3may1bW27U9GQtL8zcvmx5vKZ1FPY63FWxUtt30PZfar5C0Tp7LbVX/EaxTjFUYW0apshW7LWzTPuzN45WHtI+bGysrXdZRXrRujZatn5vrcd8bOtUZ6+xvyrOseUsxdput7BaX2z7ezWZqKm9yfvI6tKL6pto+RPF0Vr/sJY7an68pl9reZLmKxSts/7+SWHt/k7xhupO1fblrwHVbVS03pJzc4WNn42DvWFMjf9G23q5oMbaCzvxIfyxirtLoa/0Mfmv5x8aY73W7YjOjoLsQrvtK9te6y1pWnK2P+CW6J9R2BFd1r8LWmen6O0Pt124p8mGU8n3aXpAtseovoviX+nrtGxvCN5QtP25u2azQW7MCae62289wj3y1t5u0oID3Z0Lj3YjXhjgxp5+jhvRrOx57DnsFH2Fdql+B8UTisap9Zq3P+QTU8uZU617WrFZer2W71T0Sq9Lzav+MsWPU8s2VdlVYT9xnK1Ndnp6bOY61W1kkb5e6+5WdMmoszcQufp9sNa9nLH9r1Q3Jr0ufV7r3lHUzaizRG0fT2Trh/3t3DV9nZYPUPw5vS41r3pr02Wp5dRUdfbjUBX2b3Uq9prLHIvzVZer3/amw47Yy/en5d0UdgatvC41r3pL0rMVjdLqttDyY4rWqbr0qertDWn5+Gnetv+fwr48q8Jz5KrT9vYmYSO/XNvWdn1dPTEFAQQSJqA/FJYMLX6waFu7AM6OgE9VWPK+RHUv5Xqg1tmR62la/5SmllQ7KyyRPq9phaL6T7XdW4q/aqW94dhE8V/FS1o3T1Mr5e3dPbhl063crNNmunm3rHEHdVnhul91YHBPeJAb/t0OrsOzQ4K/dbKL9r5/2Pf/aj/TtX9LUgs1PVtTe9Nif/BPUuQq9pzXaHtLJF8rrG07K15VZCv2puY4hR2dpoqd6XgxtZAxXallO5otL3qu+low41zFbDLPzqxXXb0cD7Aj17JaR9AAABCqSURBVJsy1lkSsnbmKrPk9W3GSvuIoUFGXWpxhWbMxc5upIoleKvPVlar0s4QlBf12z5Xb1VeUXHG9tVO8Unaqp6an5m2nD5rjnPTKzS/VGFnVLKVJqr8n/ptY7KhaH6N2mVJv5liwfe1G/27j5auStWUbX+tlq0+5/+P1PY+TAM12od25L0NGsixehI+g8+7NE9QKgL6P2V/TO1Uup2+XVxZv7WtJa7LFbsqvlLYG4Ob9Tg7VZq16DGWFIZt4jZtsrf7ad2t9ZHvMtey53zXtvsWbvUq/VjOjKZuyYv13aonxoTD37Wd6DGWFHZTWJKxI2V7rpxF21uC/qVileJNxaV6zBpNKxRta6fBrd2271sVP1b8RGFH/Fn7ocfYmxpLzlcoNiub2gVkV2u+QtH2dtTYR3GgtrFbPe3MhJ0etmsuvtB0o6L1h6vCLuo8O7VCdYdq3k7p/yZVlz7V+tu0bG+ubGpm+2ryjKKl6soToK2zovX2JuVBxWiFJflDFOMUzbX9Wk03Ktrezs7YaezPyqaNNR2jsItJx2taoeghh6lygOJ3ivmKCxXHK+yswneablS0/e6qMMPDtX6ZrVSdLb+v5RttOb1oXSMt36kYpPWzbJ3qOmsySWFnuJZbXXrRekvm92vdC6l61dmbwfWqs/5FKnqMuRXlM3gSfKQhYiMEEPBFQOkjGOpGHbjUNTlEV+rvPs+13XYT912ohK/78Je82tit+N8o1+X5MDzejnxrvegPtiWeTgo76rtXf+wzj7jLn1Pb2hsbO7Vvb2zsKNXedNjny1mLtrfkaAcjdoT8iqKD4jI9ZoqmWYsecr9WtFUMUXRXnKs4Ro9ZqGmFou0tYX+qsCRtic2Sq32D43uaZi16jCXIPyssWdsbjXHafommWYu2tzdD1yusPasU9vGotTNn0WN+qpUXKSyhv6YYocdkfbOldZag7Y2Q9cHePGyrmKvth2matWj7H2vF84pfKuwMxpWKAXrMk5pWKNp+F1Xa/vtrmw+1/AvNP6RoomUby0hFjyPBR5KqwUZCtv80HMHXwJCHIuCrwJDgih+tcY1+vsw167XItdp+lWvYuJVb8GlLt3hKE7f8ha/d2sfi9LO4+ntlidGSqZ1Or3B0mTkO2v401e2ssLMLN+kxFY72VV9etP3mWthPYWcV7IuN7BR97EqZk1nZWaTXf6gD2r6HtjmibDs7Zf9uZY/R9nam4BrFVwo78rfbLj/TNHLRPkjwkbWquaGQSfDVtONhCMRNYGBweZvvXIOjVrim+yx2LX6ke/E7NnXLluhK/emN3NLXG7qVT/PjOXEb1Xi2lwRfgHEjwRcAmadAwFMBu3Dvx275T1e5pjq132x3Jfwe612dejqt/1ETt3RqMx3lr3br/ssP6Hg6gDFuFgm+AINHgi8AMk+BQIwEBgcje6xzWxy63DXfd7FrvsNi17K9jvIXN3eLP2iqo/wt3Kr/jQ6HvRqjLtFUDwVI8AUYFBJ8AZB5CgRiLGBH+fu7lQevdI0P0Kn9XXVqv/tXbosGLd2Cz5q7pdMbu2Wv1HFfPTU2vPCTGHeTphdYgASfBi6Mulq0LyNYmlZd41kSfI0J2QECJSdg99yvcw0PWema7r3MNd1Rp/a71nPr1umz/Fk62p/S0C2ftM6tezpOF/CV3CAWucMln+AFYPeJXqqw2x7sthC7VcRuj5itGK1kn/XeSa2LXEjwkanYEAEEKhEYGozcTVfpH7jaNd2t7NR+W92at0xJ/8NGbuXUBm7Fix+4es88Fg6wL8+hlLhAMRO8HS37UOwLBew+zsMVdiuC3epht4hsrxgnoPpK8hW+vEDrNirabk9V2L2L2cqOquQ/XDYZ6hBAILJA2dX3b6YeYKf2d3Er9l/hGu+/0jXa7VPX5RhdyNfy58ETC/RZ/seN3Iq3ddX+iy+4xs9PDvvnvGc+tT+mCNSWgBdfdKPEbEfq9m1Q8zI7pnV7q86+6MG+nanSom1/pA3sTUG2crAqV2g/g7KtpA4BBBCoLYHfBKMatNC33K10TfZf5RrvrCP9Hqtco6a6J3+Bvozno0Zu+VsN3KpJJP3aEvd3P8pLRbsP3pcj+GkangMVE7MMk30pQdZvZMrcVsn7HdVZVChCtm9HalZhBRUIIIBALQtMCIfaWchHy2LD3i3pt9QPsaxyTfbRN/DtPct177OJa9rssOC/C5X0P9Dp/XcbuOWvfO7qPn9fOMi+WIWCQI0EfDmC76le3K1YqZipsK8BbKLYTmFvQnoredtXK1a7KMH/Sg+2X6W6qdo74YEIIIBALQqUJf2DdOX+XjrS32WJa97dTu83c0sX6SK+T/TZvpL+itd0Id8zXMhXi/AF3FUxj+C9SPBmLYT6mvRSdFXY5/F21P6R4gUl5VDTGhXt3z6bt3fUUxQ9FPZrR+sUpVTsYkazLLXPAe3rONcrMn9BS1WJLvZ/ysba+l5Kxb6G1a63sbN2MSyb6LdNW2zSzLWu09C12mRzTTd1zXUK8iv9ssvC775yi75b7hZ8t8Qt/ParDZcrlXdxC83ZkX+N/16W7zEeMw3UzP953NRuatvPlMYq/frgfLTfmwSfj87l2qeS/SlaZ789/I9c2ySxXv0eoH59oX4/mMT+5eqT+v1HrbPfzH4m1zZJrFe/x6hfd6jf9qa2ZIr6fZs6a98Zbtf2lExRvx9SZ/uq38tKptPqqPr9rPpsH/FSMgQ2yVhmEQEEEEAAAQQSIECCT8Ag0gUEEEAAAQQyBUjwmSIsI4AAAgggkAABEnwCBpEuIIAAAgggkClAgs8UYRkBBBBAAIEECJDgEzCIdAEBBBBAAIFMgVK9Ta6hIKzv9sU6JVN0O4l9v/+36rf9kE/JFPW7qTq7Vv1eWzKdVkfV7+aarFK/S+r7HtTvVur3UvW7pL73QP1uo34vVL9jev+/Wl+Non63U5/nVuOhiX9ISSb4xI8qHUQAAQQQKHkBTtGX/EsAAAQQQACBJAqQ4JM4qvQJAQQQQKDkBUjwJf8SAAABBBBAIIkCJPgkjip9QgABBBAoeQESfMm/BABAAAEEEEiiAAk+iaNKnxBAAAEESl6ABF/yLwEAEEAAAQSSKECCT+Ko0if7khcrdUqN4vtul16/S22c6S8CUQRKLsHrD+BFiqmK2TYfBSnu26ifuys+y4gOce9Xrvarn/a6vk9xQfo2qk/02FfS7zcyxv6sdJc4z6tfJyqeUbyjuFOxXao/mk/seKtvlfU7keOtPtdRjFVMUcxQDEob62Zavk/xkeJdxT6pdaU8rVtKndegH6/+Hq7YX7G54gnVva2vOXxc80kuu6tzTykGpHXyq7T5xMxqPHdTZ8YpdlC8mepY0se+kn63kEF3RSdFWOaRiK+uVZ/bqj9jFT/S/+H5Wu6reRv7Q5M83j/Q78SOt8b1XEVnhf0ft7/fH8piksb+Vc3frJiq+JXiAMWDWrel1iXy75z6F6mU2hH8YVK5U4O+XDFP8xMVx0SSivdGu6j5rylaK1qp72sUqT/28e5ZxdafqqprFDa26SXpY5+r3zb29kYnUGylWKehT8p3tNvfrxPUn/maWnlHkTpyS/J4V9bvJI+3JfHTNN72XfsW9RSpj+FsvG/QOivPaf5zxX6Kki6lluDt3V/6jxJYkm9TAq8A+08/VPGk4hO9s70iqX3Wf+7zFPdn6V+ix76SftvY29mMyYpXFK9r/JtqGvuiPn+peCGtI/01/2jZcmLH+wf6neTx/lp9X6nX7681xi+WjfUkLTfT/GZat6Rs7G1if9vtgKakS6kleDt9tTptxO1X1RqkLSd11o7gztB/gK013VUxQP8pWiW1szn6Vapjb3/oxmnst9XUTtPba/4ERaKKXs9nqkNHKuyNrJWSGO8s/S6F8bazjzMU9tHjdlnGWlXOTs3br4aWdCm1BL9Io20/mZoqNv9laiGpU/1xP1dh73idplM0eVlxrC2XUCnVsb9LY36ljbOmdoQzQZGoBK8kZxcN/lVxsPpop2atJH68s/Vb/U/8eKuP9yp+ozG2v2O/yzLWqtrwdz7xf9uto5WVUkvw9p+/SxpIV83PSVtO3Kz+CNRX/MmmaZ3bQvML05ZLYbbkxt4GVeN+smKPtAHeXPOJGXv1za49uFRhyf09TVMl0eOdq99JHm/17XTFXqkB1nS6YiuN+zJNv9K6jmnrumr+s7TlkpwttQRvt06dphdCe0VXzdtnOQ8pElv04l+rzh2kOMM6WfYfpKdm7fP4UiolN/Zlg2ufT16ucd9UYaet+ygeLlsX64n6s6U6cL3C/h9/qeXmFmWdSux4/0C/EzveGtd6ij+r/3UVdh2JHcU/p7Bi4z2sbN1xmv9OYafxS7rULbHe/1f9tdOT9s7PEt/NSoCTNU16uUgdvEov/vM1baWwz+NXJb3TGf0r1bG/XQ77Kuzo1hL8g4oHFEkov1Un7Bqa59I7o9e51SV5vCvr9+3qe1LHe4L6Zrc4p87U2Gt5lMLKXxSPKD5VfKU4U3/jvtG0pEsghJID0B8A++zdrsj8upQ6r37b0c0y9dve3ZZkKeGx38IGXGO/ppQGnvFO3nhrTO0NnP39rnC7p9bZbcCJ+Qiqpv9XSzLB1xSNxyOAAAIIIOC7QKl9Bu/7eNA+BBBAAAEEakWABF8rjOwEAQQQQAABvwRI8H6NB61BAAEEEECgVgRI8LXCyE4QQAABBBDwS4AE79d40BoEEEAAAQRqRYAEXyuM7AQBBBBAAAG/BEjwfo0HrUEAAQQQQKBWBEjwtcLIThBAAAEEEPBLgATv13jQGgQQQAABBGpFgARfK4zsBAEEEEAAAb8ESPB+jQetQQABBBBAoFYESPC1wshOEEAAAQQQ8EuABO/XeNAaBBBAAAEEakWABF8rjOwEAQQQQAABvwRI8H6NB61BAAEEEECgVgRI8LXCyE4QQAABBBDwS4AE79d40BoEEEAAAQRqRYAEXyuM7AQBBBBAAAG/BEjwfo0HrUEAAQQQQKBWBEjwtcLIThBAAAEEEPBLgATv13jQGgS8EQiCYEvFu4oe1ihN+yruVwTeNJKGIIBAToEgDMOcK1mBAAKlLaBcPkYCWynOUkxVHKa/GZM1pSCAgOcCJHjPB4jmIVBMASX4Bnr+6YoVikeV3C8qZnt4bgQQiC7AKfroVmyJQMkJKKGvVqdvVOyouK7kAOgwAjEW4Ag+xoNH0xHIt4CO4JvqOWaUxVwl/D75fk72jwACtSPAEXztOLIXBJIqMFode0JxnOJgJfzDktpR+oVA0gTqJq1D9AcBBGpHQMn8IO3paMW2OnJfruUhmr9J0x21vKp2noW9IIBAvgQ4RZ8vWfaLAAIIIIBAEQU4RV9EfJ4aAQQQQACBfAmQ4PMly34RQAABBBAoogAJvoj4PDUCCCCAAAL5EiDB50uW/SKAAAIIIFBEARJ8EfF5agQQQAABBPIlQILPlyz7RQABBBBAoIgCJPgi4vPUCCCAAAII5EuABJ8vWfaLAAIIIIBAEQVI8EXE56kRQAABBBDIlwAJPl+y7BcBBBBAAIEiCpDgi4jPUyOAAAIIIJAvARJ8vmTZLwIIIIAAAkUUIMEXEZ+nRgABBBBAIF8CJPh8ybJfBBBAAAEEiihAgi8iPk+NAAIIIIBAvgRI8PmSZb8IIIAAAggUUYAEX0R8nhoBBBBAAIF8Cfw/xuqPjVaDxP0AAAAASUVORK5CYII=" alt="plot of chunk unnamed-chunk-1"/> </p>
<pre><code class="r">est1 <- predict(lm(y~x,data=d),newdata=data.frame(x=xvec))
plot(est1,logpred)
</code></pre>
<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-1"/> </p>
</body>
</html>