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@nicktimko
Created March 5, 2016 07:07
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QR Code Golf
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"1244"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"code = \"\"\"from pylab import*\n",
"a=108\n",
"n=range\n",
"l=len\n",
"b=[0]*256\n",
"w=b+b\n",
"w[0]=x=1\n",
"for i in n(1,255):\n",
" x<<=1\n",
" if x&256:x^=285\n",
" w[i]=x;b[x]=i\n",
"w[255:]=w[:255]\n",
"f=lambda x,y:x*y and w[b[x]+b[y]]\n",
"m=input()\n",
"m=[ord(c)*16 for c in'\\4'+chr(l(m))+m]\n",
"for i in n(1,l(m)):m[i-1]+=m[i]//256;m[i]=m[i]%256\n",
"m=(m+[236,17]*54)[:a]\n",
"g=[1]\n",
"for i in n(26):\n",
" q=[1,w[i]]\n",
" r=[0]*(l(g)+l(q)-1)\n",
" for j in n(l(q)):\n",
" for i in n(l(g)):r[i+j]^=f(g[i],q[j])\n",
" g=r\n",
"e=m[:]+[0]*26\n",
"for i in n(a):\n",
" c=e[i]\n",
" if c: \n",
" for j in n(l(g)):e[i+j]^=f(g[j],c)\n",
"e[:a]=m[:a]\n",
"v=37\n",
"m=.1*ones((v,)*2)\n",
"for x in n(3):\n",
" m=rot90(m)\n",
" for i in n(4):m[max(0,i-1):8-i,max(0,i-1):8-i]=i%2\n",
"m=rot90(m.T)\n",
"for i in n(3):m[28+i:33-i,28+i:33-i]=(i+1)%2\n",
"for i in n(7,30):m[i,6]=m[6,i]=(i+1)%2\n",
"m[29,8]=1\n",
"a=array\n",
"t=tuple\n",
"g=int\n",
"r=lambda x:iter(a(x).reshape(-1,2))\n",
"p=a([8,-1])\n",
"s=[0,1]*8+[-1,0]*7\n",
"s[13]=2\n",
"s[18]=-2\n",
"o=a([v,8])\n",
"z=[-1,0]*7+[-22,21]+[0,1]*7\n",
"for b,q,u in zip(bin(32170)[2:],r(s),r(z)):p+=q;o+=u;m[t(p)]=g(b);m[t(o)]=g(b)\n",
"d=m==.1\n",
"c=a([36,v])\n",
"s=r(([0,-1]+([-1,1,0,-1]*v)[2:]+[0,-1]+([1,1,0,-1]*v)[2:])*9)\n",
"for x in e:\n",
" for b in format(x,'08b'):\n",
" k=3\n",
" while k:\n",
" c+=next(s)\n",
" if c[1]==6:c[1]=5\n",
" k=not d[t(c)]\n",
" m[t(c)]=g(b)\n",
"for i in n(v):\n",
" for j in n(v):\n",
" if d[i,j]:m[i,j]=g(m[i,j])^(j%3==0)\n",
"imshow(m,cmap=cm.gray_r);show()\"\"\"\n",
"len(code)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import base64\n",
"\n",
"import lzma\n",
"import bz2\n",
"import gzip\n",
"import zlib"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"1018"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ccode = base64.a85encode(lzma.compress(bytes(code, 'ascii'), format=lzma.FORMAT_ALONE))\n",
"len(repr(ccode))"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"998"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"filters = [\n",
" #{\"id\": lzma.FILTER_DELTA, \"dist\": 1},\n",
" {\"id\": lzma.FILTER_LZMA2, \"preset\": 9, \"mode\": lzma.MODE_NORMAL},\n",
"]\n",
"ccode = base64.a85encode(lzma.compress(bytes(code, 'ascii'), format=lzma.FORMAT_RAW, filters=filters))\n",
"len(repr(ccode))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"985"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ccode = base64.a85encode(bz2.compress(bytes(code, 'ascii'), 9))\n",
"len(repr(ccode))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"930"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ccode = base64.a85encode(gzip.compress(bytes(code, 'ascii'), 9))\n",
"len(repr(ccode))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"915"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ccode = base64.a85encode(zlib.compress(bytes(code, 'ascii'), 9))\n",
"len(repr(ccode))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"974"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"final=\"\"\"import base64,zlib\n",
"exec(zlib.decompress(base64.a85decode({})))\"\"\".format(str(ccode)[1:])\n",
"len(final)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"import base64,zlib\n",
"exec(zlib.decompress(base64.a85decode('GhQG%bEgj9%,H$eYOH.]SJXt^iA\"s:(Z\"1tHCPP^$r2B\\\\&E`:/Rjf_,\\'2,cUV5pY5>[qJp46V87gGZ3mLk]HO,W.PeD_#jY6WK<Onu7Mpfpl<@L^S5l(OAWnVK(*^;q%0],+Zug,d`&N`trJK[/Yt3ZN#Gs3@\"0b)baEMH*>\"+\"GTPQf3G&Da9E..(2HWkEKbfmUUjcAMN<dUr2(15@-[I@0of;k\\\\2>d^Pg$+FTu7^95=TY\\'F6p[nkHS%5]nK[)F#-Qj%!\\\\dZ^Tb86[t=M:fi_]@cI6S^P(ed*Y<8.TOY,Y9\\'3mTm4HF_=4=N^t$Nn9\">94m=OcL/N6>-1BL;3=?FF`A\\'\\\\TGB=pZ_i=Cl;-LR-tceDS_GBqiWE=PFiB/CQDF]L%/TqV53\"iq]Tu;5i+\"gE`.0D*Yh7P+BouG8J3n\\'F^j\\\\]Ga.bqVSAm:^5N6IFDk*J*Z=\\\\Nl=XgRc_^akb2mY[`3Y@?^SKqQ55EHY\\'Jc;Q/n6-4$r\\\\76!bUGFA*+nY+gPh/:<\\\\.\\\\F\"mqfPW,jH\\\\8W@nF8A?ekg&Rh6Iecc&bfBXBtDGAc$DQneS1r9MN)Ug3@?ClQ7iDZ\"t(c4;C!_q`]:cmkSN<E-^fS9T3,csP/bOLYUV#-n1P41do<-\"(X)t4!eWfZ`S%Tm1+b!b&l4_1Pio#F_QacpcPK4(`c,0?0q<5*44\\\\EU>?:7O1uAdGK*@KtPeK1rkTt?:(rLZKWL<2XHgsjQ#pnTOe,M\\'`H5gO\\'ah,\\':GL3S*A%`^RQc1@(m3cH>^$a+<U7_F:Q8-lhh]W*jq&RC\\\\\"CNk\"3V/T0:cBD#,DD<@Sl0pEmUQOe?FYCZ<J\\'Z_f-pE#\"l8o:m;DD([XZC!VOSKMg,2rD7;6lPV4DF\"s$)OI_DV?$aj4.a')))\n"
]
}
],
"source": [
"print(final)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Hello Code Golf!\n"
]
},
{
"data": {
"image/png": 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liHU6ncbW1tZKM7ypu2q16vpcjE/Q7sxFCLQGZDW6Ho1GF+qIx2eD/2zwc2JSa4murttR\ndnZ2cH9/bzP2RYOGE/344OAA4XDY5q6jkZOvoA+6yZxEGzxnylQqhX6/73o+kWoe69KS6XVxA1B3\ndnbmBsRFOjLDZumxCIVCNt3wO+P/TR1tQsf98yK/vi13EbPTEl1dN9CkUCjYOvLOzs5aBn9wcIDX\nr18jGAzi9PRUYuObzSZOT09l5tQz23g8XrgnD4VCch/9Ozchcq6PVWf46+trnJyc4M2bNxgMBq46\nAvAoHb169QqBQEB0xBn+5OQEtVpN9KJ19TEN/rmDaNaVzwZvCHnlg8EAvV4P3W4X7XZbgDt9aK64\neYTDYdze3gpVmLxt8r4DgYCAVowMSyaT2NnZkTiD3d1dBAIBCRTRBBuytpyeiZlgSJtlsggi2/RC\n8HC6znQ6dWwXANfzycFn2Cxn+fv7e/FSPEZHRKx3dnaQzWZFRz6fT5iCHo9H3HDr6qjX67m2eVP5\nDNp94mLyxDmz397eSiCNPhgUQmCNB5ecJpdecwXy+bzNA6DPJ6fdnNV4fiwWm3sWbiHInKvVanKd\n4XAoz6afNxgMSuCLeT2zTRoYM88dDAa4uLjAxcUFarUaut2ubUvjdO9iseioI50Ao1AoyHUsy5Lz\nU6nUUh3F43HH5zQTYGiGn9lW0n03lc8z/CcumuCgY7tbrRa63a4g0MB7RJ8sMnLXt7e3xZVWLBbn\nOvNsNnPk3gMfUPF0Oo1YLDbXmdlZ/X4/tre30el0bM/EWUt3ZhJZbm9vbYh4IpGQWXQ4HNquw+sy\noo3nc1tAZh5XPzyfiDjp0XxeshHN+zvpiPwH7tX1oGFZForFIgqFgs3gSQ4ydZRIJGxtoseAAUym\njnq93lybyTLcVD7P8J+46OAZ4MMAUKvVUK1WhZ3GTu/3+yVllUbXd3Z2kE6n53jiAKRzsmOS82+e\nbxq8TsyQTCYFBdc88eFwaEsoqWm0fDai9OFwGLFYzBYtx2vWajU53+TS63h0nlutVtFoNAQR1zO8\njpbjNbPZLDKZjLRZB8/MZjMxeNPDQb2mUinREaMTTZ0mk0nUajVUKhUbg09HCOq4gk6nI8+nGXyP\nMfhPTT4bvCG6cxHVph/aNHan8Nj9/X3s7e0hlUpJTDxjvrmPjUajto7MwUWfr2cvEnDIPaerTEfg\n6T3rYDBAt9u1cePJ1Tejy3R7arUaLi8vcX5+jouLC0G1LcsSGi0wD2xeXFzg/Pzchorf3t7OzfBO\nOmJ74/G4bVDUOuJvGVKrdUSdRiIRMXYOFtSRyc/XiT71gNhoNISfzwFx05iMT1U+G7whNEKy0pgM\ngcAaiTn1el0MnkZbKpVwdHSEV69eIZFI2NDtQCAglFAGZcTjcUGPAcydz9krGo3KwMLzyXmnUbda\nLfj9fklkyKi3VqslrD/GBNDYiU/oGf7i4gJv377Fu3fv5vL3ZbPZuSwrl5eXePfuHd68eSMoOQ/S\nQHW0nNbR9vb2SjpiejGtIyYL0TO8HnxHo5FtlcP4AaYs1xlvqCPqV8cPbJoG7FOVn9TgicYySIGI\n7LoB/oFAAKFQaC5jzCaig2KYtWQ6naLX66FWqyEWiyEUComLinRPcrILhQL29/cRj8cFEeY1NK+c\n9FguF4lgO30Gg8E5d9v29rbkVOcMTsYZ8CFOgThBv99HOp3Gzc2NLP2Z/WU0Gkn8OXnrp6enEv3G\nWPGbmxtBs8mo48xYq9XEwHW7Z7OZEGZMHTGl1FPoKBQKzTEBqSPtPYjH44LBmDoaDAaOOtpEiEVw\ncGJE37p8Dp3lh33zMUDgT2rwXK6SOUU65Lrxvn6/H0dHR5Kp5DFxzEzXRNSbn1zm1mo1GyDlJgxA\nMa/jRjNlxyYyzE+3lFx6FsrlcrJcd8sB4Pf78eLFC9HRKskdOJPX63XEYjEZBOv1OjqdjngLisUi\nLMsSDr3Z7qfSkfaI6M9lOjL7lxvjMRgM2vrRYxJg6LwKzKzLMN11hCQsnUjlMa7CRxm8ZVmnAG4A\nPAAYz2az31rn92ZYI0GpdbPZer1elEqlJ8lUovng3W5X0GuNQHe73aUGT9RXX6Pb7bqyzrhs1igx\nl69Oovf2Gohzo8r6fD6USqW1BkW9fdGhtExQQY9DsVjE9va2tJXt5TXchJwCrZ9lOqJ+VtGRjuMn\nEOfz+Vx15Pf7n6wfMa8CswJxFbLuioG4Ry6XswGbm8pjZ/gZgN+dzWatTX6sEWhmC43FYivl1zav\nQ/SWL2rTNEA6TTXRZ41ANxoNdDod3N/fL53hGadeq9XkWm4zXjQaRTabtXXMRYU6NKhERDkajaLb\n7Tqez4F0Z2dnpc7MvXq32xVsgECXLqnEhJRer1faWq1Wbbp0Ew6KzGxDPS3SERH+h4cHm4fDSfQM\nz/N5DSfx+/2io3Q6/egZfmtry5YCLJFIrG3wW1tb8jw/+Qz/o2y8odBLeu17XbQMdLsOEe54PP4k\nM7yJQJO7fnt7a0Og3USnsmLWFiLfTrK1tSXXpC4WLf/0DK8DYdyq6lBHWk/LBkUu6U0yj84fSIOn\nm9DMlb6oc+pBsVwuC3HHTUc69TXB0kU60jM8B0T66t3O1/p5TMYbzvBmlp91w6yZEZfP9CnM8P+H\nZVkPAP7L2Wz2X6/zY3ZUdnCWVlp3n8OEBgRIeGwiZmqi4+NjvHnzRvy3RJ+XJSJwytry9u1b1xk4\nlUrN5URfxeB1BNki3VFHpp6W6UIbO3+7t7cHy7IkzTQZc9wbaxR/mcHrQZGZbdxWBel02uZ6S6fT\nK+mIxr6sf2kdaT1tIowspLGz36xLxGH2If08P+UM/xdns1nZsqwMgF9alvWr2Wz2T82TdK535nsf\nDofi8mCDnrLWHDnxNFIzn7yb6BRQ9EsfHx/LPkzniw8Gg+JKYjvNqqQaxWa2VeZFJ0I9m81wc3Mj\neEYmk8FgMLDlUHf6DZeKzG3H59LnmOfzHJ1dZpEumH1G/yYSiSCTyWA2m9ky+j48PKDb7aLVaslg\nQO8JdcR+YFZuZUhtuVyWXHvm89/e3i7VkT6fbabnZ1MdLRpUmOGHgUgk9TBuYVlSj01E2w9tapUc\n+sAjDX42m5V//KxblvVHAH4LwJzB93o9VKtV5HI5W6bVZWWfHivT6RTHx8e4vLx0LaC4qtC1woMI\nMctE+f1+3N3doVKpSD50xmWHw2HZd3L/r1HpRQUAaXDm8fDw4Pg8Pp/P8frj8dh2/io8cbpJzd/l\n83lsb2/Dsiz0ej3JQdhsNoXiG41Gkc/nMZvNpEgDc+lXKhVYljWnI+IXZOnp519XR1z6a93w8Pl8\nc9d20hF/t2hGNT0ZBDefm0Nfr9dxfn6OSqUiFGG3UGctGxu8ZVkRAN7ZbHZrWVYUwL8A4A+dzuUI\nz2SVJEOsm512XWFWmKurqycxeHLm9UHWFztztVpFr9cT9hs7UTabRTQaFQ66PpbNIATL9G/G47Ht\nObhP5WBj3uPu7m7u2QlquQn3ofoebDOj125vb2WFMhgM0O/3MZ1OEY1GUSgUBCuIxWLwer1i8NQN\nPzkoRiIRRx0t8l+TfOSkV7PN1BG3KfoYDAaOOnLL9KNJSPV6XdyWXBE9p7TbbVxdXaFarUqVIL/f\nv7R/P2aGzwH4ox8b5gPwP8xms//d6UTNdNLMp0UZYJ5CptMpGo2GHDT4TQIaNIsrm83KwUSX0+lU\nSCnT6dQWCqrDO0ngYSgnO72baJ43f1er1TAcDuUZdHpuv98vA0S9Xpfzu92unK+58W4Gb2ZK1W2m\nbklIurm5mWtzNBqVzLqaWLNMR4VCAbe3txvpiNswtps6MrnxWkdap7e3t446WpTaiwZv0q6f2+CJ\nMzUaDVsVnmXymOqxJwB+Y5Vz9QvRYNYmtcPXfEZB1Xk8doYnPXRvbw97e3tCczUPRmuZB8NOdUde\ntKzWuqtUKoJk03A0FZTuTc5e1WpVzm82m7i9vZ0rHrFIdCzB7u6utFnnrdPfdb45jd7TuMwjEAg4\n6qjX681VoVmUtMJNR+QL0NjpETLDY3l+u9226XQVHdF1aV7zuQ2eGXHpOXp2g19H+EJM7vJzZx4h\nbdQ8NhEd6FIsFnF0dISXL1/i9vYW5+fn6Pf7sqQ/Pz9HJBLB3t6epJJmjvjhcAjLsmwI9Tqd+fz8\nHG/fvpVtg3bJjcdjW2AIn+Xdu3eoVCpzRSWW6YJLel0Z9eXLlyiXywCAm5sb2cOfn58jk8kAgKTR\nJoW20+nAsizpmGxHNBrF/v6+6Ig54u/u7mwDYrPZXGtQpI7Y57Qng+m2TYN/+/at1AbQxr5oguDy\nXQ+yBHKfWwh+6+MnN3jNgCKa6OYn/piiC0NwSckRmctMEkvIhw6FQlJKKZvNStRXs9lEu90Wammt\nVsPJyQni8biQPHw+H7a3t6XwItlljUZDyiIDsBFaNIrOPbkuYX1zcyMGmU6npUoMO9/NzY34t09P\nT3F5eSmDViqVkrJUus1sN9scDodt1X5Z/3wymaDRaMgKqlKpSLDN1tYWCoWClNra29uTfAKWZaHf\n74uOiAdQR4lEAqVSSWbmbreLZrMpOtLvZRUd9Xo9KX5BHRHR1jpi7EC5XJ7TEbEDNx1xGb/pyvEp\nRWfoccM8ntXgf/7znz/n5R8lL168mKsGSz+sXrpzz0+iidfrRb/fR7lchmVZaLVatqqvXFqZfngu\n48lFHw6HAuZxFjo8PJxL7vDcYkbD6SVtqVSSkNibmxtcXl5iOp26ZrYxSUscyLSOdByCnsGvr6/l\nHRB7GY1GNh0FAgEcHR2JjnQ47cfW0Wg0+qSTYf7pn/6p49+f9Yl/9rOfPeflHyXklTPWnZ1TGzxH\nbfIEiDT3+31BmjVa6taZ6dphxlR2GLr1GBFVKpVs6Zu8Xu+jqoysKhqc07xvsruA9yDR1dUVut2u\n5KtzM3i22bIsoddeXl7aAo/MQVHjGj6fTwJOgsGgoPehUEh0pNOAbVplaFXRBq9rvT2mbPNzy09i\n8F9//fVzXv5RkslkhFeuZ3gd9AB82MdyfzybzaSY4Ww2kzhycuxp8LozMwEDwSgd9sr9fTQalefR\nnfm547F1Z9bGvrW1ZSOw0FU2m83QbDalzabB93o9NBoNAB9Yi/1+31FHGsfQe3atI4aVah2R+/Ax\nDZ6DYjabtXHj/6zJr+0Mv7W1hXg8Lp+kQuqMN9r4tb9WR8Hd3Nzg5uYGt7e34otmbjlmQdWc8a2t\nLVvEFw/zeT6mwbMzmzOZbvPt7a2tzWwvk3vqGR6wxyTQ8Hm+Nnhm09UFH03daB1pPZGW/TGEejG5\n8X/W5Nd2D080lamQiawyyokvNZPJYDgcSnAHyxUzIIbLc1Idh8OhrTOPx2NZ5gYCAaTTaSmewOXq\n3t4eksnk3DN9zM7MWYsz/f39PS4uLmQVw2U53V1mm7XB08DZloeHBznX1BH1R2MPBALIZDLY29sT\nHzh1lEql5t7Zx8Q5+En0/s9iNpxn1dbLly+f8/I20Si7/iTJRpNt3Ig30+nUlf9sWZa4l7iHf/fu\nHfr9vuO96R4bDAa2Z+j1eojFYsjn8wgGg0in0zg8PBSXllvbdIYXE6V+TBYUHTASi8XkWWmQ5P7f\n3t7i+voaP/zwg6v7R6frcrrPqjq6u7sTam4wGMTOzg6Ojo5km/WcOjJ5+TzMQhxm/9Lf+blqn3zq\n8xfJsxr8t99++5yXF+HIy1RQ/M4UzMxio7+vK0SmCc7R/0qXnb5vMBiU9EmPva+ZJISupV6vh6Oj\nI1ta6038v9qtpJ91MBjY4hCYmGITliJnZK0jJoMw9bOJe8tNR3d3d6IjJsx0S5YBQNx1ZOBRp6zo\n49TH+Oym/hh7YZ7PLD/m+T6fb04/wWDQVUcej8fxmZZ5LZ7V4L/55pvnvLyIx+ORPZ7+1DnXCTpx\nz71ux2V9bzPFFWdG897j8XjunpsUMjSLLNCFNxgMxNNAg1/UmRcJfdL6WbvdLi4vL6XNNzc3Gw1Y\nACR2nXtw6mk8Hs/dcxMAjsQa5gMg1fj+/h67u7u2QXGRjrjiIEuRiT/6/f7c++XKSOfo159sL/EH\nAHI+8Qz9G3Ie9D38fr9se7SOmJTE1Cd5HAt1tbZ215DvvvvuOS8v4vV6kclkpHiEdiuxM9frdeFY\nbxK002pAo4tqAAAgAElEQVS10Gg0ZLbTiRg0x57PMRwO5Z66RNQmbaPB6xTTw+FQ7vUYg9eZbfi8\nWk9s81PFIZCXn8lkcH9/L/fS4Oa64qaj0WgkZalW0ZFmzJFUwwGAz609GQAcdVev16WtOgQ8Ho/b\nwEytZzIauXLUWXQJ+OrziXUwqcayDEmUPxdLeu231eCTGc1E0Ony8nLte5CzzJGW+04zL/3u7i52\nd3fX5sy7ieaA66XrZDKxIdY6yeQ6Qnqo1hH1pNv7mEhDU0d7e3vY3d1Fv98XHXGbsklyB60X0/g5\nC25tbUm6bzduA3XBBJ00/kajIf0LgLD3AMz1Lx6FQsHG42BiVpOcxPMTicRctWHTdUng+PLyEqFQ\naC5D0k9Orf1YBu/3+2XkZcpovhzzhRwfH+Pdu3drGwbRZRONNzvz0dERvvjiC+m82h+/qcGTUUbD\nZ/pk7t14UA/riqmjd+/e4d27d7b9KY9N9/BaR4eHh/jiiy9we3u7FmfeTbSOdD756XQquiGOsCiE\nlBx7kxvP1YLJWXAaLN+9e4fj42OhkNPl6cZGZH9kQhHdn5zYiCcnJ3j37h0ikYgt92Eqlfr1MXjW\nHePIq5dGusgCX8h33323Emq/iuhKJywg+fr1a9mzc3TWZZFMISrsJAzkWDVrilNnZgYXp/s66ej4\n+Nh1O7aJN0CzFzkofvnll+h0Oj+JjpywCN7TaWAjOq8ZiTRgnc6LBvzdd9/JgKz7o2nwNOBf/epX\nkkKMsREmV4Ez/NnZGX744QdZ0XFw+KSi5Z5b9Ehbq9UkieV4PMbl5aWQQba2trC7uwsAjrPXJjOY\nOQIzrHM4HEo2l1AoJDXafD4fdnZ2BMCp1WoIBAJPlgyEnIF+vw+v14tkMikRacViUYo/dDodXFxc\nYDQa4erqylFHTyWZTEa2JIyW8/l8sjfVGW/G4zECgYDo6P7+XnRUq9We5Hnu7+9RLpdxd3dn05H2\n6uhDB9uwOg8R9MvLS8nBp3V3eHiIvb09oW7Tj7+u6Px9xWJRDDsSiThW3l0mf64MnllVmYyg3+/L\n/hP48EK2trZse9PH7FH1CHx9fS1LVAAyyzP0kwQX5oQnaDUcDjdOq23Kw8ODVIjxeDxIJBLweDzS\n8VizjTTZVqslDDgmprQsa+1iIIuEVWd0iiuWpbq5ucFkMhGCDV1LW1tbsvymjp4q7HQymUh1GRo8\nP80+QeDO7F9M0UXdAe9rA5ZKJcTjccFzzOCsdUWXzqax0xW8u7uLfD6PRCLx62vwumACiyEAkM5M\nsEUjqgzyYLqmdUQv0fR+VBswl5tmPnSN5D+HsOiCWXiBM7zWDzCvo+eQu7s7MXotkUgEkUgE+Xze\n9nfmm3uq2d0UraPxeCzvQ/eju7u7uf41HA7n9Kd1pz0ST2HwOmMv+QH00qwTXfnnzuABOwil/b8a\n1dYRco9JS6Q587qwgtP9iLxqLjq/P1U8NWdH897hcHiO989ZzjyX/34qYX038/7al6zvz1WK+axP\nRWX1+Xxz74UrCm4H3fqU/l6r1Vz7lnlsuoKjgZuVcX0+n80H/2s5w2ufMiPRSqWSLFG3trZQKpWw\nu7tr86Nyht5EaPBE45vNJoLBoGSJYQbUbDaLUqmEyWSCy8tLYU3V63VcXV2tXW3HTRhm6/V6JcUU\nyTmMZ2dpJ4b17u7uSuw7tz2lUulJngeAgIF6dr+8vEQ0GkWpVLKtgEqlkuAKenbXOMNjhWG2Pp9P\n8hzs7u4KWctE6XX/4l6ezDbu2Z36l8mEe8wMr9F4zbRbh2UH/DkzeD0KW5YlCuCLYGdm2K5GWDd9\nIcx5T8IIr8Ewz2w2K58vX76UwBTuS+v1Ot69e/dky3rG0et96cHBAUqlkizl+Xl+fo6TkxPbnn17\ne9umo6eQs7MziT+gwb958wbb29ti6FpH2tCpq3fv3m08KJvCvAamjphWWwPAerbXqzDy8wHIakj3\nL5O7v2msA7MzkVSjt5ybXP+jGLzX653zh9LAtF+b3zehoALzgQyWZcnLo9uEwFm5XBagimDLbDZz\ndW3oSC/9rGYBAB3gYL4cj8cjPulUKiW8b6aGcvL1r0s1JYecWWsvLy8RDAbR7/dxenqK6+trIZIQ\ngXYKxlhEgHF6zuFwKCW/9TsmwKU7pFn8wdSRBqqoI6bldnoHj9ERl+WhUAi3t7eS6qrZbEokH11y\nZrtCoRCKxaItScj19TW8Xq8U4DD7/SbiZNgs5mG+g2WuuY9m8JFIZC7m2+fzOe7tNjV4U0xiBBXO\nLCxEYWnwOlrMFM204yfzo60jemnGIA9WfTXjzJkVZh0xs9aSfddut3FxcYGrq6s55ti6ovng+pmd\n3vEmdF+9V2UiSq0jfc9NdUTKLGdxptW6vLy0DYra4J0wGW6DgPdemaurK/R6PUeM4CmTW9I7tC7O\nsdTgLcv6uwD+JQC12Wz2z/34txSAvw/gAMApgL88m806btfQWUOZ1SWTycDv9wsqqrnL6xaTXCR6\nTw98QNWBD7MxX0qxWHS9Drn0Jhq/rtDgSf3UuiG/mrnuN0n4qbPWakRZ52vXM/wmYvLB+bm9vS3v\nViPK64rJHmNtuFQqJffz+/2SrXbdduioOF08Ih6Pi56Y1psGpPMjsI07Ozu21QuN7+rqytbPNV32\nqYQAsY7xaDQaS/vMKjP8fwvgPwfw36m//QGAX85ms79lWdZf+/Hff+B2AV25M5/PCyjEiiTa2E1X\nx2NEz/DAPLrKaqr6cNsLVatVQUJ1ppZ1hZ05nU7bOjZBNV2aeZNSXHr20sEfROl1dJo5G6zqktQl\ntRlRd3V1ZWOIaXR5XWHZcJM6qkNcGcW2SQIMDqaaM9/pdBAOh20RbHqG10ksCcwVi0VbzQMa/O3t\nLYrFosRbmLkGnkJ0UA2rK11eXi6dhJZqazab/VPLsg6NP/8egN/58fvfA/DHWGLwOsTz4OAAL168\nkDpfOk/4piGebkIj5zKUiGapVBLmGZf0pVLJ1Yi3trbmeN+PMXg9sw+HQ6m9pivNbNqZ2dE0Zdbv\n9wsYRg/BY5f0mk56fHwsoJf2HW/SyakjPVE46WhZTn83oZFrHbEv6phz6sikbTNH/+HhoQx2NHT+\nm+9Ap0l7SoN3qk787t071+rElE338LnZbFb98XsV78tOud9Ede58Po/9/X28fv0a4XBYcooTQHnK\nlEU6uYNeejHbSiwWE2ZUqVTCV1995Xr/UChkM3ZGea0r7MzMeErgKplM2oy9Wq0+qjOzvpnZZn1P\nABsFq3BJT5ci+eO9Xs9m7Jzt1xUi06aOEonEXNGJxwyKg8FgJR35fD7bkn5vbw8vX77Eq1evpMDG\n9fW1pAH71a9+hclkIjyDnZ0dGWCeSvSSngb/ww8/oNlsLvzdo61rNpvNLMta2BLWUyuVSlIcgdVG\nrq+vJcZ81QCAdUTX+9a50EhLTKfTQkzhvtCs6DEcDqVSZ6vVQq/Xs0XLOV2/WCxKGmy6n1g6ybz2\naDRCvV5HuVyWTLCDwUDAKqfrM/Ejf6+rjzi1mQkxnc7njK3fDTOwOF3L7/fLAJ7NZiWRZaFQkDTb\nsVhMikdoEC6Xywn6zYF2VR2x5DbrBDJh6CIdme3le3M63211yZoBxWLR9qw+n08SV9CjwLbt7e0h\nl8shmUwKM45JM7QHgnUAMpkMisWiLYsyyVxObajX62i1WuIdmUwmQtsG3mNOjm3Z0I6qlmXlZ7NZ\nxbKsAoCFvEddPbZcLssyPhAI4OLiwuYGeSqEHviQkVWjxjxYJ01TH4EPs5e5J+Meycw/zxnNvAex\nChoA9/9cipnXZ1AGa8hrBD8Sich1tYfDaf84nU4RDodtbdVuJ/O+mieuPRnD4XDuGmShMb57Z2fH\ntk/d2dkRnSYSCYTDYViWJQw2c4/Pclw6AESHFOvnZIHJy8vLhTrS74A60tdhBBp1pM93SyDh9Xol\nhj+TydiyHOv01QQPg8GgxP1ns1lb8AzBOzPZBck/uVxOdKe3kOa701V1Q6EQfv7zn2N3d1ee4Y/+\n6I8c27Kpwf8jAH8FwN/88fMfLjqZfs92u20Dpfx+v1TubDab4m99SiHYQtSUB6uE6kIUmlNPRJ7o\np0a5afDmflXnuteZXXRww8PDg+y9dGVbXenVqTNrD8fOzg6CwaDt91zKswNwv8nz4/G43IfuoeFw\nKCg3wUzgw6Cn78e2srNzX0rjpYuKetWzlMkH57YmHA6LnpLJpG2G1wi0qSPObtpl5+YFMnXEVQFr\nx+k2JpNJxz7k8XikXTs7OzYXG/f2jLTUIa58/3pC0f9vThhadzR4lt1qNpu2trD/cYBnsk/KxgZv\nWdb/iPcA3Y5lWRcA/gMAfwPAP7As66/iR7fcomvofZcG6Hw+31y+9+eY4bn3IjBHGqk+dKUUDUhx\nZm+32zYEVyexZGcuFAq2PHP6+jT40WhkA1t4D25reA8aPPeyiURCqKeko2rEmmi8LoRIRLlUKiGV\nSuHq6spm7OQhaM64bj/rvOmObGZkYft3dnYkKo4HZ3guY00+OFcKpo7YyU0dcbvDw9QRMSK2ORQK\n4erqak5Ho9FIdKR16pY5mDkTdX58roTYv7ReOCiwBoGeUEzd0WPDQVrrTs/w1AW9ItPpFPF4HLFY\nzHYsA71XQel/3+W//tKy31Jo8NrwOfoTYOLx1DO8Nvjd3V28ePECL168kJznPMxAGjNDTq/Xs6G3\nTgZfKpXk+olEwnZ9cp2d0NXj42PU63WbHsiyY8YVJtg4PDzEixcvbEUoyTXw+/02g8/lctjf38eL\nFy+Qy+Xmti26Qgyz0rLt4XB4zth1NR7Ocvz7/f29sM80j5wzPEk4mg9OBuaqOmo0GnP9RevI9AJF\nIpE5bvwiHbnFD9Atp9tGAzZnbpYo0+3id23w1Al1R5aivo/pFWLCjOPjY/j9fhSLRdE5C5wu4z18\nFKYdX+Dd3Z2gojx0HvBFWU02EbOSCt0pmutsHuYMz4wk7Pzm4ZTi6ssvv5S4cvNw6szff/+9cOnN\n6+vyzuycr169ktnWZNWxM3N5TUSZ1GHNPDR54qQak+JqLlH1AMB262d1ai/38FzGr3K+m45YsdbU\nk5Pb9/Xr13I/zapbpKOjo6OFfck8gA8FTfg+lrVtXd05Gfz3338vA/7Ozo4Y/MuXL+dCoU35aMEz\nTsZMbrl5uLlaCLiYKDori+qDSQLy+Tzi8bgsFZvNJs7Pz10JNtfX15IuORgMCpjitvIgGs99aCwW\nQygUcl1acd/18PAgtFCWeTafn2BOJpNBJBLBbPa+kEW1WpWijs1m04ZYAx8Ch3RZY5KcEomElJG6\nu7tzHWAty0KhUBDUmAkg+X9O+huPx3OIMtvmJD6fz/H9r6ojHmyTqaNAICCeFXoSFumIOQEX9S/T\nK+OmCzdxquvOSrRO799JF6PRCIFAYK4t/M0i+Umj5TS6SuAiHo+75iZ7eHiwobZELx8eHmzVTvXB\nPRTwgeu8KBXyzc2NMLCi0SgKhQJCoZBrp6Vf1kRXH6MLrY/t7W3ZHozHYzSbTTw8PMDj8eDi4gLX\n19cCeC4i0phsMaK5iyqg7u/vCzK9Spomro40qsz34yTam8D2LuIFcK9uvmPulUOhEEajERqNhtxT\n62gZRsSlv9nH7u7u5vooPRbrivYCaT059d/nKKP1SRh8MplEOp0WtNQtvdJ4PLYhlYy2u7+/ty3d\nea10Og2PxyMGeHNzg16vh6urK9dn0uWF4vG4YxYWLQTHOMNvWrNcc+w1chyPx6UNo9EIzWYT7XZb\n/NL0cNze3i7szDR4ZnTlv92QaQCOnoxFws5sIspuz0XXHt8V+4ObaE691lEsFluoo2q1upLBa3p3\no9GQdnS7XXlGeiwIRK4rpheI9+G2cGdnRyjFz1GO+ic1eA2e5PN5WR677UOYGMEpU42mPhJ1JbGB\n5Z1p8Itm+Egkgmg0ilgsZvt0m7VjsZggq08xw5OQwTZEIhH0+31pQ6fTQa/Xk++rejj0DA98AJnc\nkGmd7sr0ZLgJi0IS/yDH223lYUbDLcutrgdFraNwOCz66ff7aLfbwnVgsg+tI7c2aHCvVqvJ8zca\nDRSLRcl2S+/CJmJmraUHIpFI2KrmRKPRjViKy+STmeFzuRwODg5wdHQ0l/uNcn9/P2fs3Efp5ere\n3h6Ojo6wt7eHcrmMcrksBl8ul3F9fe36TLlcDoVCAZFIBLFYDIVCAcVi0XV5FQgEBPHn56aUW7d4\nA7ah3W4LG46INYkzg8EA4/HYFTtggQ4+syZ/uIn2ZNDXu0jMznx8fIyTkxPXe+RyuTk/+jKD14Mi\ndRQMBlEulzGZTGw6ajaboh+tI7eluAnwXVxc4Pj4GOVy2Wbs8Xh840hDpziEk5MT28zOVcyfO4P3\neDy2IoBEV93SJBPlp9KINDsZ/MuXL/HFF1/A6/VKeedut4uLiwt8//33rmDV/f29ZGGJxWIoFov4\n6quvXDu7RrX193VFB4owv/2XX34pbiXmcG80Gjg+Psb19bUtiQS/uxk8daT9xmbyDqffmO1aZQ+v\nO/OvfvUr15BN8gZo7Hd3dws7uamjw8NDfPnllxJQ0263bToql8uOOnIzeLOY5Pn5Od6+fYuzszNb\n+Se63jYRNx3l83lb+zaNQ1gmHy0BBhFE/UmmEymNd3d3aDabgpqaiCVBnlQqhWw2K0iz1+tFLpcT\n0IcZRTkrcnRm5ZZiseja0fP5vLCutre3EYvFhEBCD4H+XIRAO7WBbjay/wqFgmwxuA0haScSiYgL\nZ3t7G6lUShD26XQ69yyshsIBsdVqoVqtCg5g6p8eEad2EQl2aoN5Hr+fn5/j+vpa2IKk7hLlNq+V\ny+UkloE+c8uyhKNu6sjj8aBUKsnvqCOG05o6ms1mju1iZV/qqFKpSN23Wq2GXq8nQHAymcRoNJLi\njpPJRDwkm0R2UkdkC1JHw+FQ0qU9PDxIv9LEKxbyuLu7E2yJ+vukcto5ofGsuJpKpRAOhzGZTKQW\nebvdtrGIiFqa/lMacjweF5fYbDaTmbzb7aLdbs/lpV9UdE9zoPW+dTwe25BV7qPdsq2QCafbSxcQ\nl2z5fB7j8VhWBPv7+8K9ZwCLue0h4La1tTX3POSK62UpVyZEmk29ssoq26PbZj4/CSPD4dB2Pn9z\ndXWFi4sL1Go1x4Kb5r3z+bxw6TX9WOuoUChgPB7D6/XCsizs7++jUCgIQOqmIwaSmPrhTK8jNKmj\nTqcj+38mAWUkYzKZFF/7zc2N1N5bV66vr206IoHLTXS6r2KxKFugcDhsC9D5pLLWmmg80UjOyEwq\n0Ww20el0EAqFBBVNp9MCykUiEUGayV2mr5wdhcvf29tb4a5zX8hCDIVCwfVZNc/epNwSkGo2m3K4\nAVJkUaXTaYlkYgflso3GTjdkNpuVF2gavImuJxIJeQYy5vRetdPpzKX00t4L6i4cDtuSeeq26fO1\n4Tqh8c1mU7wGjDdgZ6bLie+T181kMsjlcnNcem3wWkeWZcn5elDU2wIaO3Wk0XaufqgjEpaA93vr\nVqslvm4W8SAlmP2UE0qv11uIBblJs9lEtVoVLgU58W6i6be6HwUCAZvuPimDd0JXSQMkAs048H6/\nD8uybKgo952W9aFYJP/O2Z7XITrLlMjRaFQOLgEXzfD06Zp8cBOQ4uG2l0smkxIMxA6rQRnthqJr\njPdNJBKOnVl35HQ6Peex4BZHF+HQSTypU5Mbr6PliK5fX1+jVCoJoYfLZi6TydbTaDzjDYiK6wAj\nsvX47lmzXbeZnZa5CkxAj54D/oY6sizLdg77SDqdxvX1taSa5sB2d3cnGYX49263K9dkvgJG0IVC\nIemj/X5fePybpCAjz4N6WnWGZxgwQUufz+eou2Xy0Wd4JsAgH5wIdLfbRbPZRKVSkaQVwIdcYjQc\ndnhGbGUyGQHlKpUKer2e7LHq9Try+TwKhQKi0Si2trbk326i0XaNuutZTXOa3RDobDYrIzKxA8aq\nM5uLpszqe/O+ujNrYHIwGEjtNcDOpedylX+nscdiMVv4Jves+vcMPz05OcHp6aljvADPN+nHJycn\nwmZjcgmn35N+fHR0JG5MrW8dP69BXSar0DriioA60qXCs9ksWq2WjUvP4hdOOuIWjDH9JG0VCgWk\nUilUKhXx9nS7XZTLZVkdrCOmZ2VZYgydl542NBgMJDOu1t8na/AHBwd49eqVlLwlAt1qtXByciJ7\nbs7sOzs7slSje4gRRxyhLctCr9eTQgvn5+c4PT3Fw8MDotEo8vm87OFfv37tijYTiSaRg/82Oc2r\nINC63aaPlcZOkg/vbd4f+OAe297elvOd8vSxcxME0tfjtsHUqcmvZ4Xd77//fs5YuY1yQ5rZeTV5\nieg2tzg0+K+++spGKtLtBiA64jtepqNIJCIzO+/LCEDdPp0/UeuIfWv2YxZjLumZN8Hj8aDX66Fc\nLsse/u3bt2vbgm6PPtzE7/dLP+K5HCDcdLdIntXgDw8PAUCqn2gEnHHVzEwym80wHo8FQOp2u2i1\nWqjVaoKWAxCElweR72AwKCMcs4ToRBOdTgetVgvNZlPqyTmJeW1+n06nwmPmPpCx5E7n6yom/X5f\nEj665RyjJ8O8FveOpkynU1m20mOxKLEmeflkD1JvvBb56sPhEIPBQJaurVZLMtLSY1GpVCS6zuPx\nyBaFfm4eRMZNrncoFJJn4DtfxfOhdaR17aajh4cHm450AUknCYVCSKfTSCaTQsnmst6tf5nPoj0Z\nuk08dGyD/i29TIwgbbVauLi4WLkE9qryrAb/s5/9DMD7fbGJQC9yaWgUtVqtSihiv9+3xf4S9XUj\nxeh9G0M+dXVXJyG7bpXrAx+WXOZv6CLy+/0YDAao1WoSkOMk9PGaMc5undMM8eTWwq0QpN/vx97e\nHkqlkgCmy7jgbrrjAMrZsFgsSkYdovc8FhFpdPYf/Ru398MAIPNYpCOdS4BbmEQi4Xh+IBDA/v6+\n5DNYpiNuMZyeicw/s118z+ZBT4Auqc3J5Cnloxh8JBJBLpdDLpezoatuI7k2eJ2Jptvt2pBeAAuj\n64AP+1MzvthNmDI6nU7bcqK7iV7y6oM5z+j2om/abWURiURsv9dEGSfRBq89FjrriRZyFbjKWtfg\nqbt+vy8rgul0KtGB2WxWWG7NZlPi2hcBWzq5g/YOuOEipo60h8OtzcRPdPZZNzqxz+eTfrqqjrhF\nMt9/q9WSjD263+lwYx6pVEowG5/Ph36/L3nr1onEW0We1eBZn4xAGw8avJtLSxs88KHjtVotR6TZ\nLchA70/NZAJuiszlcrLfprGvAqoQkOLh8XjEU0BUmLxxJ4nH4ygUCnN50N1Eu+uAD/xut8GMfmUe\n3FK5iV4dmbojik2gi6We6/W6uB6Z7GRRhzWzudA74DZIcDWhPR+LdKQHReCDcbrpiMi31tGqBs8k\nlKRiV6tVXF9f23L06QQYZn9h9mbdZ5YxDzeRZzX4n//85+9v8iPCqFHFVQwesM8ytVpNyBxU3LLc\n6vy9mWLaTW5vb23uoFQqtbLBl0olHB4e4ujoCOPxGJVKRQhF1WpViik6CWdqbeyLSijp2c0pkaLb\n+fpYdYY3dceVQigUEgINyTPa2Nvt9kIgySm5A9F+J9Ez9So64jt0Cw1+rI64YtAZleiBIMeEqyKu\n7nQcQ6lUkvN7vZ4s41l4s1qtbkzhdZOPsqQ3UW+v17uwI2ikmTMMwSEuXTXS7Cac4Uma0c/gJkxG\nQOLHqn5S5rQjAs09W6vVkj3827dvXSvr7OzszLmVVjF46mIVxJd618ei80n37PV6tt+ORiNZxnPW\nZYYZnbB0WXSdLrF9fX0tmW3cdJTJZGzGy+Cbp9KR2U95LMIhdL56plD76quvhIbLFYyZ006nRPvq\nq69Qq9VkGa8r7C6K7NxEntXg+eLoW+VBpHKRaESW55MaGolEBOWkS4L+baKy+Xx+6f6R3GWNovb7\nfQwGA0FXl+XJZxYeotv0MOhUwroA4t3dna1NPLa2tmR5zDzyNEin55zNZnPXIJLs1LaHhwfH+wLv\nBy0WgqTuGF+vr0Od6AKGbGOn0xEUnPqj7iaTCQaDgWzL6HmhP5sx/aRBb6ojs80k/ejraCzH/I3b\n4DGZTCSmnuQmAosPDw/iaSAASaZnv98XDwTdaR6PR3L+01sRi8UwGAxsCT1JqnGzE97XbPOyLcCz\nGvw333wD4AMCrRHwRckDCLaYSGYikRAUVYMq5pJNB8u4iUZPiaiuW4UU+LAsbTQaQqjhLMfiFe12\ne84Pb+ojk8kIT1wDm1we6+fks5r6iUajsCxLBh59/v39veP5DH/VuqOhmEgzs8Rqph0JL+PxGPV6\nHefn53O5+839v8/nk9n97OxsoY60njKZDA4ODkRHJl7g9D6dEHF6Tszz3SaIh4cHnJ+fS3Zh1uVb\n5AUy4woWhSED9iSYOkW52+/ovjbf0aMN3nKuHvsLAP8mgPqPp/312Wz2v5q//fbbbwG8NzyNSHLv\n4yYabOFvyL92QlH1XiqbzQphZFGSAiLCRIg5u68rGnjSLK77+3vhTDt1Zh1XwAgv7o2dDL7T6die\neTQa2TwKwAePBamyun29Xs92Po2apB4uS3X6ZP17nS9eE2+08XY6HVQqFVsnJ7+CLEXdpsFgIDri\nAMGViC4gyWemjnS8AeMluI3QiP94PLbpGICsgggK8/xWq+W6lZhOp7KnNivvalKPBjfr9Tqq1eqc\nLtxEbw01huS2ZeUA2mw2bf1uWdbnTavHzgD87dls9rcX/fC7774DAKEs8uHZwdxEGzzT7xaLRXnR\nJoqqZ3hdGMHNRQUA5XJZqJmbGjtgB56ItDIuu91uo9PpoNPpiMGHQiFbJBhRXRasSCQStuAZfU0i\nv+VyGYPBAMVicY4uGwwGbZFgPL/dbqNQKNhmcK6yGJOgmXWpVArX19e2ajC9Xs+Wj8AsrMFsM5pL\nzw+XLuQAACAASURBVDBerSMOYAxjZpQaUelgMGjTEdFv6oh9QK8WdL05tnk4HKJQKNh0xPTaOniG\nHgIGIZkynU5t71JX3qXbVxt7q9WSbQ63KcsMnqtgHQ3HACsn6XQ6slrRiTuWyabVYwFgqYOQM/z2\n9rbND0p01c1/bpJK9vb28OLFCxSLRXEH8dM0eB2osajOvFn6aZGPfJHwJWtXYiQSkX0rZzJdB02H\nxx4eHuLw8BCZTMbWLi5XeQ125vPzc5ycnAjLT4OY3LfqznxxcYHT01PUajVb1hZGvVF3W1tbtlmm\n3+/PDYisV8YlvdZdOBzGaDSyuSAJeFJHeiauVqtzOjJXQTR4ZkJisQutJ3p7OIhQR6enp6IjvQLk\nPlcPijzfLfptNpvZnpGAsl7Sa4COOf31b3i+m7DfanerzkRsCmnCui3PzaX/dyzL+tcB/DMA//5s\nNptbD3EPr5ecXDouM3jNkCL3/uDgwIby8zs7LTsy0/ou2s/opegqiLKbEBDjLMxn0+mFiQyby9Vi\nsShZWzKZjPxWf5rVUs/OzvDDDz9I7Lt287h15jdv3kiGHJMbT2Pg3/msfD9aR0SaWSSDNFU+q24v\nP/WSnu1w0xE/GZlHHTHX/87OzkIdMZnF2dkZvv/+e/T7fRkQueIzdVStVkVHp6enru/ZfEYaopMn\nY5Eu3ITbMXLml/2mXC7bIh1rtdqzGvx/AeA/+vH7fwzgPwHwV82TaHAEFJivnUa6SIhCjkYjGSVZ\njpiMJL/fL+mXNB98GeoKQGagZfztZaINZBVhRheitIzic9viaB66/s10OhW0mrx4y3pf2IMVcDnL\n0GPQ6/UEX9BtNnVHYE7riMw63eZVhcg03xk/tQeC+nNCsjfVEQCbR4fRh246urm5mXtG5iTgM/J5\nOVi5tc1N0um0cAN0ZqZl+QJN0Vszuqs9Hg/i8TgAuHIZNjL42Wwm1WIty/pvAPwvTuf99m//NoD3\nXPqDgwNbKeFFdFjOmFyW0pXS7/dtCDePUCgkbhEilzzc5Pz8HJeXl4K6PnX97qcSvZ/L5XKyH727\nu8P+/r7ElXM/t65wWWrqrdfr4ezsTHTEYJlNdESXqfnuuEpY9Z25iZnxRgNq9HysoiNGFZrPynh4\nrZt+v4+HhwfBG8y2uU1oxB/Yn8vlsnA/1hFiIuREfP3117akpL/85S8df7eRwVuWVZjNZuUf//mv\nAPj/nM4j0y4ajToi0G6dh0suLiMBCJdeI7dcogaDQUdkut1uu7aBzDeiqJt25ucW3Zn1Evz+/h75\nfF7yu8VisY0KI2j6MXVH/RGZrtVqMihuItyf6nfH+nIaJSf+sK5oHWlcYjgcShbiVQxe51vgs6ZS\nKWxtbdn0QoDu7u7OxqXX7XMzeK4AvF4ver3expx57YcnCSqZTMrKa2ODt+arx/6HAH7XsqzfwHu0\n/gTAv+X0W82lZzQQ0VW/37+UWtvtdm3ppVqtliPSbO5lmFRjUYKCdrstyOtjOvNzi5kVhx1sNBqJ\nPpnPb9PIKp3xhrq7vr4WlJlI86aDoslGJPJ+d3eHcrlsQ5o3KeLhpqPxeCz9jp6PVWZ4chL4rOl0\nWrw62mPBe7EeAs8vFAquBkyCFv3oTISxrl61S5UrQIKsi2TT6rF/d5WHIrWWTC4TgV5m8NoFxBrt\nOjFiPB4XZFp32svLS5yenuL8/Nz12czAlk99hgfsoCdrnFOvzHC7LnnIJI9Qd0S59bEpr9sMMKJn\ngpjMukizKbpKi+a2Pzw8zPU7v9/v6uoyqc17e3s4PDxEPp+fK9+sq8dqai3b5mbwzGlXq9XQ7/cl\nB+Ay/7kp5JzQVc08jMuq1Xw0Lj2TFOjDTdgBSPDg+QQnNCvJZDyxgMDbt28XZiRhckt9fMoGz46s\nn9VJp5sYvFvGm6fSEb0nZoVdptvWWXYfM8OvqiM343Krb7C3tzfnwuX2SQ8w5MZ/+eWXrvEap6en\nGA6HUg+wXC7j7du3a68wc7kcvF4vksmkrXqsW6w/5VkNflnpWjeZzWY25JZC/68bX9vks7darTkE\nlYebZDIZyQwTDofFE+AmzLKqj0W/4V5SM9fq9fpGtF4nIWede1lG/E0mE2xvb0tCR2IkZgVa5uFb\nFzVeJCTM6CU13ZmcVZkEIpfLCRBGHbHoyLqzoJvc3d2JjugCZqUXJr5gjjii+fTm0FvBgc/r9UrN\nBJ34xM3gmSyTMQEM7jG9ADy0F0AfmofPoqPcuiySn7TyzHMLR2yN6DOW280gd3d3sbe3h0wms1I9\nNbpFzMNtUIlGo5KAkokx6GJ7ChmP31de0bnV9/f3pUglXXqdTgfn5+eS5JI1+ra3t7G7uytlqZ5C\n2Bl1NhcO0K1WC+PxWMJuOYBqHdXrdcxmsydL90QdsYhJMpnEwcGB0LfJR+h0OlLf4OzsTOrMEc/Y\nRJw48x6PR1KUmYdb/2Iy2E8yL/1PKVxyEUFNJpPC53eSTCaDfD4/l5feTTQVVR9uiDlnhGAwKAgt\nE14+hTDJ5HA4lM5MFxirvjDB42AwQKVSkfMBSBWTbDb7JM8DQHzqPp9PDL7VagntlgafzWaRSCTE\nE6EHxU33907CLeBoNFqoI1KivV4vKpUKKpWKGPyyPAxuog1ec+YbjQZarZbEA3Crw/7Ffssjm81K\nHoLPBv+jmKCKRlHdhKg3EXDmpXcTJwSaNeWdZDKZSMEI5o8nc+0phMtxRsFxj+f3++fue39/j+Fw\nKOdy/7ootdYmQoLLcDgURtz9/b2kWibSzBrvxBXMZ10WqryqcBvBdrrpqN1uyzaR3op2u20LnllX\naPBmzn2mwdaZhxlWrvsX4wqYbJPHZ4P/UbTbhCjqwcGBqxGTeEF0d9UZ3kSg3ZbovV5PkFl6Fer1\n+pMlOvD7/YLYMiqP2xPel7zzWq2GdruNTCaDbDaLcDgs6K9b3rdNhPfivfk9HA7LvRkolc1mMR6P\nUavVUK/X0el0JNvRJoUfnCQQCMh9qSMm8zB1VK/XZYukPRaPneG1sff7fSnjNZ1O5d46R7/Zvxge\nrI9fe4N3SkH0xRdfLMxLTySXlMplNGDT4I+OjvD69WuhOJrSaDRkucj96bt37yQw5bHCCjfc5yUS\nCRwcHCCXy9mW1NyfXlxc2JbUzN3/xRdfPMnzAMDV1ZVk/2H6pnfv3knHpw+ZSDODbhhWWqvV8O7d\nu4VEqnWE9RAInnIPz3iGu7s7Cdk9Pz/H2dmZFHlkKapNVxukQTPAitfke9NxEE4zPPtXIpGY66er\nsPU+isEzGIANJAJJYgcDK4i6k2+uEXCv1yt7GdaIY2wzzydAp6uIkinFPOjMkEK2k3mfdcUJpWVF\nTzddbG9vO+aH17rh93U5/szsSp0yuIP7Zeacv7m5kSyzOoWzDjRxE6fnJOLu9N4YR2FZls21xaUr\nA2Y42w6HQ6mWY+rIvOcmOuKMyew61BHZa/T0UEeM+2d7SHAhL0KX+9JFQZz6l5tLutvtSj/VVYfo\nDdAlrxn7QOBzHfkoBs+Yadbm4vdmsylhiUzSoMszcWmta8MdHBwszXjDTsQlI2dbVgy5v7+fuza/\nP3VaYFPM0E+6z1KplOhH62ndpaMZCUZD63Q6S5HmVdvOvbhGk0kzNfW5ifdBRxRSRx6PR/K9mfd9\nKh21Wi2cnp6Kjm5vb21UXbPP0OPCwf3m5gaXl5fSv0xdbNK/zESf3OMvSp2+SD6aweuMJPxsNBpS\nE67VakniR52CWCPrXNawLrabwXPGYEIIjsCk0Nbrddt1NYDyMQ1eJ2ZIpVI23QAQJHkdmU6nAnTp\n/G2NRkOAId2ZNxHyIfisfG56K6jXZXnj3USHx+o8Cslk0taH+CybGjyDs1hKrFar2dB4gnMa/NXt\nSyaTc/2Lnhd9TiqV2rh/aYMnBfn+/n5jt+lHMXgzIwkPFmfgS2S1VS6bGA/PApD0OVKRTgZvVmhl\nYUpmJqELii4NXZXzY4g2eOBD9h8itXyRNKp1RSfA0LzvWCxmM87HGLymO5N7X6lUkEwmbfXcWRtu\nXdE60jhMKpWSUFLSrjfRkZ7hdd3AaDRq6496htfgr+6P7Fs67ReDdnRuukgkshFLURu8rnS7qRfl\no87wOkHB6ekpqtWqbQnLbKCmwe/v7+Pw8BClUsm2VIxGo3MGr4293+8LCs4wWH7n9kGHn34Mai2f\nz+xE6XRalpY0qE0wBd2ZdU37YDA4t6Uyl/Srtl8nsby8vJT3mcvlpJYcV2ibBttQR3rllkqlbJWI\nGL++rizSkdkfzaxAmmO/t7cn/YnbJP6bWX81Gv8Yg+fKjauSTdoN/ARLehr8mzdvUC6X58CfyWQi\nkUDa4F+9eoX9/X0bCKKRSQIdJFCQpqjZWtxjHR8fz/lBP1Y8PJ+RHYjt5oyvSzxv2pmZ4IJZWJjO\n2Qls22QL41Q99vvvv8ft7e1cerLHzPDUEZ+XtFEae61W+yg60kE1mUxGOPYvXrwQAhUNnv2LxCcC\nkZv2L67QaOwE/zbden40txxRRo006uAGLdFoVJJUmjnImeGGB/Ahi4z58h8eHtButyWdskbpmUve\nRKzdfJk6SYYGlUhU0SWFWq2WpIjSQRt8PrMNZslfp7aZ17Esy4ZW87vWs9Y38KFUMQ8K0V5mful0\nOmg0GnNuH/7bDTnW1+f/Ax88GeR+05Oxvb0tHhcSX3S7+cl0WMvev+lSpVdAB/8s0hHvRbYdxe/3\nY2dnB5lMxnZks1nx1TO/IvsXr2nq2k1MHTFjsxM/gxl73N7/IvlJ6sPTcNyCawKBgJAiJpMJ2u02\nzs7O0Ov15sgGDEBwEtMPzz0VudpEV29vb3F9fS2AoZMwjTF93IVCQUbwVCpl83FPp1NxsfDgNoTE\nCh5cOtbrdZydnaFcLgueobccmgxEkoUZvsrfmGGzHDTNe3LJyn1hvV63Zct10rXX67W57jTQyoSj\npCWTpWhyFYi6x2IxGx+c7i5iPibZReuo3W7b3qfbszrp2klHHHScxOfziXeIXh/uoXX/4rW9Xq/U\nlV8nJkPXnOPWyC0hCAdo83iKNNWPFm0YGpl2S6ur6aGTyfvabGRoaTphMpmEz+dbiATrpZgG9Hh9\ny7IEnHFLUwxADEMbPNFXbic0qYVAnI5gCgaDtrTOmq7J5BPaY8HOw2WhPgKBgPy21WoJGk8Sh6YI\nM0GGRrjb7TYeHh6k1j2XyDoM1LwnB24zcSb/zky8uVxOaLIkj7Azay9MJBJx5INzqa310263BUUv\nl8sSXqpBV/2sHIT17wnQ0WVLHREEduNOeL1eAeoymYykujbrIeisxEygwcGP2IObMISYiTapIzc/\nu9mHgA8JNRfJRzF4jsAELtg4NzopSSI8yGm2LMuGrtN43US/EHPPTmRV70cXodZ+v1+WerxGIBCQ\n8EmOuASCtra2kM/nbaAPl13MAqs9FvV6XVB0pxleeyxYyJGovkaayY0n0KULPVYqFdssSv1zhmc4\nKPEW/tZEmkk44f6WGYaZxiqZTMoMb7LF9H6Y7kjGLdDgmZ+QIK+pI3ZyPaPqFSSPYDBo0xEBOjIL\nTZ0yu7IpZOPplFd6hqd3SD+HTpPFgKRlBs+ELuwviUTCtU92u11UKpU50s8y+ahLejN5hdvoxdmW\nIYz02TMdkE63vGxEo8GbnYLIKv2t/O4GMiUSCezs7EiIKb8PBgP5Lfe+jUYDW1tbcwUQtMGzRPLZ\n2RnOzs6ET6+PyWSCYDBoe+6DgwMcHBzIVkZnYWGtPRPwPDg4kJzuZiIHnQDDBFdNt5JeqcTj8bl7\nmaHI7OQc4M0UUhywNUHFfD6tI3LaTR0xNlzraH9/X1JA6QHR1BFRd5awchIWMtUEGjPjjdm/TILO\nqjEZpmfCjcJLrwLwwdg/GS69uRTUQIOTsJggSxG1222cnp7KMlT7aRfNylSeid5PJhMcHx9jPB5L\n8geiq27PtLu7awulLBQKePHiBTqdji2UslKp4Pj4WJaHZsolszOfnp7ihx9+kCQY5sE9pu7Mr1+/\ntiXRYAVWN4N/+fIlisWiLc88s7bQ4Pl3ncRDG3sikRDsheAU/67RbDNRg17Sh8PhhckdvF7vHPip\nddRoNBx1ZBobdcQkGiZ5ReuIceWse+DWj5wSnfD96vvzmZySViyb4fVz8TpuIFylUrFxEer1+qdj\n8E7I5yLh/i0WiyEYDAryqbOOrJLcH/iA8lIZ/Dc7I/AhL7vOoGOK5mzz94FAwJZnn+ipruqpC1EQ\nudXeAVZTJSrOQ8/s5N5Ho1HJkMLCBTQSjWDTrUm0l2SRbrdr2/c3m03HemrLdO0Wd6ALLzAQxCkt\nFp+R78VsA7EFU0fEKlbVkc4rz3s46YgRhblcbq4NPPS74XWW6UKj58R/VhU+o5sEg0EBc3XGGz6X\nWzDWJxktZ85S7DjpdBqHh4eSi51MOzfh7MVCFvpg6mUAiMfjKJVKEp7oJNxrer1eyUWmCUXj8RiR\nSAS5XA6WZWFra0sQaL0/dRONNGsEmXXQw+GwrEi83vdFF8w4hEXbG3OpyLJObowty7JweHiI3d3d\nlZFmpm42E4S6dXQarNlmN+FManpouDQPhUIYjUaiI6/Xi9PTUwH5lumI/UU/O4txrOMdAiCFPMzj\nqbgeTCvOvPRMWMIQ4j/5kz9x/N1Cg7csaw/vi0hm8T4l9X81m83+M8uyUgD+PoADAKcA/rJTqalN\nxYm84fP5cHt7KwkmmIpoWWpmAlI65TIrlTI9MGORF+XgI6pPgycaz4QWdPXk83nxLxeLxZUzkpiA\nD9FmLoVDoZAYPI2VtFYdh+AmTntDr9frGsYLwFboUgNVbkIAlDqmvt2Se3B2ZXsJsrqJBn91khJT\nR9zrTyYTSbm9isFrNptuw+3tre1+HPgXGTyX2qYuNq1wZAqj+nRe+ng8LoPrRgYPYAzg35vNZn9q\nWVYMwP9tWdYvAfwbAH45m83+lmVZfw3AH/x4PIlogydAF41GMRgMbGl+Vpnhdcgii09UKhVB3VlW\nOp1OL7wWl/wsrEg0nrMt0ftEIiEotk6rtcoMT/ebRpqj0ajcdzQaSQTdYDCwFY5gGWc3cYs3cAuD\nZQTfOkiz9nhoXbsZGffQzNhKMNBNtHuX+snlcq464uqLelplhtcZdPn8rVZL7qfdkIuE9GiWjea1\nnsrgSdTh1oSuQjceCWWhwc9mswqAyo/fe5ZlfQegBOD38L44BQD8PQB/jCc0eO2K0qy20Wg0V9Jn\nGS5gpmAm4su64Qyz5b/dFKbrsxMkazabCIfDcp3t7W3s7OxIPLwuQbTODK/R+HA4jGazKbMW70vi\niS7TxM7oJE7xBslk0jWLjGVZNpSZeMoiocE3m01cXV1J8gg3b0wmk5H/I9q9rACoHhSpo1AohEaj\nIe+G3zudjk0/NHg3Oq6ONGS68/Pzc1QqFZsLUAc/LdIFKdKXl5eii6dK00U3Jwlk/L4sim7lPbz1\nvmT0bwL4PwHkZrMZy7pUAeQ2e2xn4QyvjZ2ECbOY5CIutY4u0jnX37x5g8PDQ/j9fsECSqUSjo6O\nXA3m6upqDo0/OTnB9va2ZHvlHv7o6AhbW1u2ZyS45yZcrnL22t/fx+vXrwUFpkE3m02cnJxI5led\n2ngVg2eH1b9zEyddL5vhGYhyfX2N4+NjvHnzxpUtViwWAXww9p2dnYUGoZf0Go0nAMiZnTpiSWqd\n+nmRwZsVjFjf4OLiwkaqIY9jkeiIQsYb/PDDD0+Wu5ApyHTS0aOjI2xvby/83UoG/+Ny/n8G8O/O\nZrNb/dJns9nMsixHJOIP/uDDpP87v/M7+N3f/V1bqV8ishoVdapM6sS3N916GkHV5/Pa4/FYALx+\nv29LHEnEl24cJ6F7j/cm0Yb7OF1soVAouC5NdWVUnSUHgIzSJMwUi0X4/X4ZsOhG47217jRvm9sP\nElhubm6EWMOlIAk4DBgx3wE7uImka52avyNfQi9jr66uJJDEvBYBMb4LtsFNR5ZlIZ1OC4+dOvJ6\nvSvpiB4DNx1FIhF0u13c3Nzg5uZGqh5zdcAsONQnM+ma7fJ6vbZ7MBHmKtTXVWVra8tGYjs9PcU/\n+Sf/ZGn+gVVqy/nx3tj/+9ls9g9//HPVsqz8bDarWJZVAFBz+u3v/d7vAfhQB4v1uTRphIrQn+um\n7dFUTf3J5AT0g2u6KimPwHsu/dXVlfiGnYTLaE2t9Xg8SKVSNjSe7XITM+ONjqIi+UMX3NR+cHos\nptMp4vG4TW/8bi5LuZUYDoeOOmLRRfMd3N3dzZ3LT92B9ef5+TkuLi4krTRBUZYaM69VKBSwv78v\nTEA+q06AUSgUpAyYx+OxVSHmAK23Q9QRwVin59Q6qlarcl+Gnpo5/ePxOLLZrNQx7Ha7uLi4wGg0\nctQPOSe635Eu+5QzPHMVJpNJ/OZv/iYODw+lT//hH/6hc/9bdFHr/VT+dwB8O5vN/lP1X/8IwF8B\n8Dd//PyHDj/Ht99+C+BDMclEIoFEIiGdgPxzopidTkf2XesIXw4RVCb4I7JOxetYex7k0jNIx03Y\nyRlUQjQ+kUigWCzOBYAselYavCayABBU360zM7mj3+/H9va2TW/sTERv2XlJzun1ejb0nzM4K9Fq\nRJmHqVMOrNyfmu+tUqng+vpaMvLyeTkL6T7ATLFOujOzAlFHlmWJl4YEKPIpOCjm83mbjjRKbuqI\ngyJ11Gq1xHvj8XiQSCQQDAbFLRoOh8Xgub0y20Qd6QAjzY1/qj18IpGQ7E+ruH0py2b4vwjgXwPw\n/1qW9f/8+Le/DuBvAPgHlmX9VfzolnP68XfffQfgQ7loutg0jZBUzmq1KocTGWSReL1eub7mNNOV\n5MT71uQYupIWLbeIxhNXSCQS8Pl8EuqZSqXWnuE11RiArZSynuGZoIPuSRpPtVoVI6H3gMEwXG5q\n7n4+n5dlrkaaNc6h3wN55jrPIJfL3J+ypHS1WhVAsdlsSqELbfDpdFreUy6XE4AznU5Lp+VyXgNj\n1BGX9PQcRCIRm8EzVkMXb+DWQjP4OHhzm6ODhTReQTq1z+ez4ST0gT88PEhbtFHzmVnBVpehfmrQ\njvnpqYtlsgyl/xMAbr33Ly27+DfffAPg/X7j7u5ujgPPJT252+fn5zg/P0e9Xl/64LZG+Hy25brm\nfROZNlFw3TmJLDONkJPQsBnHzY5HND4Wiwkav4rBA/ZqsADE+8BP3ZnZkTlraG68jsDT2Vw4s5Op\nZgbk0EB0tByR6fPzc1mK6mAO4AMaX6/XcXV1hbOzMylbpfe8ekmvQz/JdWcUn+nJoIcA+OCq0zrS\nXhoCiTpWg1Fn1JFJ19U64kDZbDbFlaoHIXpc6NrjYMbYCWa20a5k/dyMH9Crj6cQxi3ofveTU2u5\npNezGUcmZrbhkr5areL8/Bxv3rzB9fX1Wvcxed/JZNKWi4wvI5lMysx+enoqudK5hz89PXUdgUul\nkizzmPP96OgIsVhMZgUeqxg8OwSfh+3gofnX3BNyoByPx7bZici4Lr3MDs7rRSIRW+w4kWanUtvv\n3r3D27dvbTO75tKbLieNxuuVk/asmLn7X716ha2trbk2E/hy0hETXejfcICIRCK2yWQ8HkueeRp1\nq9Vy1BH/Ho1GcXh4iFAoJAUwiTGwvzQaDXS7XVxeXuLi4mIuolFvQba2tuTv1MlTMe30inMVL5D0\nvye5u4twae7xeNDpdGwIKEdGZpqp1Wool8u4vLzE1dWV4/V0dhh9hEKhuTzsNFx2CK/Xa8vMQiMC\nPlBCmeRSn0eE1+fz2VIVcasQi8Xmnkfz6s1r6RdOoyaWoK+hPRk6MyolHo9LlVzmTt/e3raFSJK3\nT5045arX7edStVKp4OLiQnjanOk4o/H9mYj1cDicay/bSXII66KVSiXEYjGbjuhNWUVHJv/eSUex\nWAy9Xk/28Ixi1Doiek9PgeYFkJW4u7uLm5sbVCoVAO/pq41GAxcXFxISnMvlbCi87ncMo140uzv1\na04cy/oRB+FVkpI+q8H//Oc/B/BhD0+uM/O1eTwenJyczOWldxMuLTUiSrfN0dERdnd3hYjAssh0\nxemDlUWYgCMej2N3d1dARKK5+tAsslgsJu4fxn2bz8TgEY0Oc1ZxEnoy9MFZy0n0qoWdjZl23K5/\ndHQkOf3JzFokmrTElcx0OpXl7HQ6RSwWQ6lUEq6AU5vdhOCZqe9VdUR9L9KRid6zEIiTBINBSZa6\nqo7chDiBqQ+3GZ792jwmk4lj/90UC3hWg//Zz372/iY/LiN1cAMf+urqSgye5BI30ctLfSSTSRSL\nRRSLRVuBCuADp1mjzyTPMJhBlzwyz+OgwRmy0WjYrk2wjs8BvO84DMk0r+fmcuQeWR+kTrrpQrvr\nuApxY4D5fL45HS1jzunQSy6FWWjR1F0ikZCZngev4Sbr6sh898QH3HSksQpd4cYt0YXf77fpiAP7\nJmLGFfBwm+W5kuIBQOrGk8qtvSKbphh/VoP/+uuvAUBICCQikKbI6jOrcp3NABAipNlsVoAWHUWn\nASkTgdbxzfF4XBBa8sD173W2lGazCeCDMTCskhl5dMw/94f6vm4zHldB2lW3jFdOA9Cou1uZZ3Z0\nU0duouMQ9L630+nYMAaG4Pp8PjSbTUfduYmOU2eswyIdxWIxee8a/XcTPUHo+AG3zDAMoFpVR4tE\nZx/W739RNCZLfrGfM9kqdaSvw/iDdeWjzPD39/e2BP/8Tp+7Pv7/9r4uNrItK+/b/qkfl12268dV\n5fJfd7v7zjBEGvIQHiYoRErCzMOQoKBEkRAogYiHiEQKUghRpIyYF4LEKA+ReIFIQ5ASIiIQSAEB\nEvcq8zCgUWZgmLn3drv97/p3lctll122yycP9rd6nV3n1J9d7nvneklHVe2uc87e6+x19t7fWutb\n/c7wZCpZWVmR/eD09DRmZmZccd92aC0RaE1ZxH1YLBaTcj4azKLBNxqNDpCrXq+79n0zMzOuDyJG\n0QAAIABJREFUB0USB418e8ns7GwHm0+37Y3WhQ7L9TMWkkZSP/3MXhy0dsip5oFjgEwsFnMZO8/t\nBmBqMC2Xy4mHoJeO9Aux29KWL0GbNMVPR+Pj46KbfnXkJzaVN5+/X3tJhwa8IU1xHMdl8GT/2d3d\n9c2B6CUPsoev1+vY3t6WvXClUsHOzg5KpZIgqhrd9RMOcuaIk6mEcfH2YWfL7e3tSSz96uqqLOOj\n0Siy2SzW1tbEHaRXBtrgOfCZIceXAB9SIpEQg6e7J5fLYWtrCxsbG74xBrFYDO12W4ydJbB66UIP\n5G76I6GCfXQTgnB0nbLPy8vL4rFgHsLa2prgB9R5r5gEehi0jl69euVLbhqPx13Zk/T29KMjjd4P\noiO+wAYVvR3SORx+9+Y40q5agpjU0cHBgeio0WgM3CZgxAZPyiCCPLlcDldXVzg+PpY85UGEbhn6\nIMkMyyw3L6ScyCs514nW6gQIzhbxeBwnJycSPUUUPhKJyFKb+1eNQmuu9Xq9jpOTE9e9isUicrkc\ndnd3JSqObdRoLM+le8vmN7fRbw5Quh55TS9E9/r62lNH/DtdO5pJhcg5tye8XiAQEP0RS2AxTM0z\nT7eiZgJi/Dq9AlpHnAlZJsvWkzFGdERcZRgdAfDk07eX25wwCC6S+FSzH2m2JAJ1jEPQ0Yj04fut\nYKenp3F8fIzT01PhVwAgoB2Zf+hB8Xsp9pKPJOONn+h9ZLFYlMALxonzIOIZCAQ6Yuk1h7odS08E\nul6v4/r6pkLn4uIijDEuBFoj/3pvn8vlZCtxenqK3d1diRwkSEkXk0Zl6fddW1vriKVvt9uu+/E7\n6ahtdHdiYsKznSRKsPU0OTnpCj/WOvK6zvn5ecdylbNgsVjE3t6e9JlbFP17raNGo+HSEftFHdn9\nY/y4l4682kkd2dfy05EfWHh1dYWtra2OqrKAeyYnIYvjOBJeTGBzcXFREpW8JJvNunIySPF93/Kx\nNHjuJUnKeHJyInHtPMbGbnj0NMinA0nIKmqMEcbWWq0m2VNMUBkbGxP/thcCTfT+8PDQhRucnZ0h\nl8uhUCgIpbLeS87NzbnanEwmsbi46DmYGZzEWAZGiNl9pm+aOrK9Evwdz6OOSLVMHREQtK/BFY4G\npFi++Pz8XF56HOw0eL0s1e7SZrPZoSO9ZLfb20tHdnuvrq46rkF3MCcOrVO/ZXK73UYul0Mul5OS\nZTpoyfZkaPcZDX5sbKxrfTn2rd8krGHlY2XwVDDjxLUxEL3VA1bz0tsxzZo5l+WV2u22LG+Z5MKw\nXKLt2qjHxsZce3Xu9Y+PjwWrYJYdZy+d4882LywsSEHJRCLhOZhZiKFYLKJUKuH8/FzO5YuEwUQ6\nE4zn1Ot1V9y3jqXnS1GHiM7Ozsr5ukyxxjPK5bILJ2HgDrdw3AbplyJ1RzxEE3rwpUj0ncg19UQd\n6fhxPQ6Yk8E+X1xcyLn6ZUtGZCbP8Bw/4sd2uy3tZA05rgYICmtjZw04Jj/R5dYtEo7BTYlEQgy+\nm4djWPlYGbxWKJdxrNpiV4OlL5PLVRo7AT9d0ID77Vqt5qoYQybQ+fl5ybUG4EKgOXsBbpYT/p37\neQ5m7o9ZWpmehmQy6fI00ODpxmQ2GpFsziAMl+U19bZHx8YzzsGmntYvRdsLQpRac72xnwSZNCh6\ndnYm/SUWwSX9ycmJi1ZZ64i/t1dBmgyEZZu0p8HWEXMy9vb2sLe3Jzqi/z0Sici+X2cU8veMpPMa\nd7qdmk5MezL06tOu+sPvfrP21NSU9IscfZ/4GZ4DT8/sjBPXsxZjmu1Yes5iFxcX2NnZEQYb1pbb\n2dlBJpMRBpvp6WlJ9uB+30agOZg5axHZ5VKWIY8M97UH89raGtbX15FMJl3Vbejr5qDl7LWzs4ON\njQ15wdkovT3wdnd3sbGxIdxyWkcctNwvah21Wi2Z2Xk9XZddL2fZXsbP6z7rJT11x9/zZcBzvHSU\nyWRER4lEQs7tR0deLxBt8Pql+OrVK+zt7XmOO65SdFsvLi7khafz6/n8vDwZrH7sJdorwM+PncHT\n38l9n+Y5dxzHVT3V/u4nHCRcLnLPx8GaSCRcEXtcWhFY4jn1el3KVTcaDaGsAm78vRcXFxKUw60C\nM6oYzsnqpIOQGnAFwrZmMhmsrq5KNpgtjJMmqs3Mt+PjY+FTZ8onY6758uE2ZG9vD/v7+zJ7ax3R\n88HceOqo3W5LVhhnHA5WnfDTjzBWneSbfM4aXdffCdrZOvIj3OSYsHVEj8vCwoK8cLx0xFXB5uZm\nh1dAezNsbwAAGc/c4vEcBgkBb6Io0+l0T1eo7hNTnXWNADuOflB5kGy5o6Mjz8qonFVCoZAgqKFQ\nyDfYgW9mhnfyu58C+AbWv+X3ra0t7O/vu4Jn7FxvItDGGBcCrQGpUYvN5sJZ6/T0VDj6Y7FYX5Td\nXuKno2az6aujQYUvZP2MWWvP69kMKn46Ojs7c9Ux6KUjbvvsdgaDQc9xd35+LiQr9jmZTEZoubQX\nqJ+MNi1MG9fenruMuwcx+JOTExwcHLgMXrPPEEXl4Vcg8urqCvV6XVBVus+6xWvrWHqeW6/XcXBw\ngIODA5ktGaqoXUgE6C4uLiQajPRNZHMZteglOItojo/fFFxk3Hc/g7mbcH+uj6OjI9GRRqaHEYJw\nRMr5nC8uLjruOUyMuM11wGX8+fk5stksMpkM4vG4AHZ+ovP+9Xicnp52jTk97oh/2H0jxkCDJ1PO\noEAcPR8suXbXieZBDJ4x85pK2GagIRqrueZsuby8RKlUEuSYM77fQLTDYDUiy6KPJDSwc725yuD5\nRJmJQL+NGV4z3rRaLWGMuUuih2b2pW6pJ+qHyHS31VQ30cQdfMbMXuP9dL7CoKLZZHW04sXFhRBh\n9DvDcyuhPSjz8/OiE24Nz87O0Gg0XC5Nfej0aHqBhhkvBDj1uLsLa86DGDxnTR5eVUlTqRSWl5ex\nvLzsu1drtVqe/uluYoc4ErXW7eH+jgZPf6xGlPmAida+DYPX4NPV1ZUgukR3u5XK8hPbl6x1xL7y\nGHaGtwkw+JxPT087SjkPuuQFuutI64c68jMYnZylxyM9FhrE5LjTgV1LS0tyjuYIpMEPY/Qcdzw+\nFkv6drvtqvdOAEJXa9GVTv3K9p6fn3dkbvVTW86Oad7Y2HDVh9fkAXovz5k+EAhI+KQ+7ou9pJtw\nFcSBzHszxFUfk5OTQxmlV9z3xsZGR3+H7bMX4836+jqOj49dfn3WhBtUuDXUxt5NR34G75Wc9ezZ\nMywtLXmOO10umgb/9OlTrK+vI5fLCTh8cnIiXqBBZ2evcfeRneE3NjbkO1F4fZALnshxOp3G0tIS\nstms5/UYp1yv13F4eCjosXbRaKYY4E1GFhFnZq5pdFgfRKBPT09d9/Zqfz+kgbZoKiI7xtxPNJjU\nTegC0xVbGUjEarPUC2PAWaW1Xq8Lus24fy8ZZtsQDoclBTmZTEr8AY3h6OgIlUpFaK2G0RGDXO6i\nIxa3tJl5lpeXpaJxuVx2EZPQLcxcClJvM/AKeLOl3d/fvxde+n7GnZ+uHsQPz4QX+/CqjLq5uem7\nTL+4uEAul5Ol3/z8PFZXVxGNRoXNRRc+1Eu0ZDIpMdAMrSTSqg+/GYxhuvYxqK+UrqZgMIhWqyUh\nwsVisffJfUir1UI+nxduda2jxcVFTE9PS/wBA3hyuZxsY6LRKJaXl4eaaf2EhJ9kFMrn88JYzISS\ncDgsEXGBQEB87ufn56Ijv8CYQcXWUSwWw9ramlCOax3t7Ozg5OQEm5ubngCmThvWTEj05jiOI9mY\nLLzyEPLNb37T8+/DVo/9EoCfAUB62V90HOeP/K7DPZZGPqPRKKLRqMzSNPhWq+X7YNvttrCiMqhh\nYmJCKpCQmkgTF+g9liYXsFFpLv/9hMtS3QfWaRtEgsGgDIzz83OUy2WcnZ0NnXdti9YRDX5ychKp\nVEr2sRzMV1dXqFQqEj3GgCMy2NyXkIaMNFgs9sCAHG3wkUhE/Ni2job1QthCHTWbTeEqnJiYEB0x\nU5A6KpVKHR4LHXjD7ZDmUWg2mzg5OYHjOBLAxRz3h5ChDB7+1WMdAF9xHOcr/dxcgyqMG2d5Wy6t\nafCVSqWrUrhc56DkzJFIJJBMJl0Gr8NGtbHPzs4KOmyHy3ab4Yk0s/0LCwtDDUKmZDLJ5r5md4qX\njpimynuT/JIBUEwdjUajEnJ7X6IDa5rNpiQn6WArJjSl02nX76mj+5rdKVpHJPTQATbtdhtHR0eo\nVqvyYuShAUyN9WjMSKf2zszMiE/+bcuw1WMBoO/W20UAiWRGIhFXthK/2/tniq4wozPFZmdnBY3l\nqoE+dBq4BmRSqZSr3jkfWrcHonPmua9bXl7uyQtnC0Efu8/DUhbZwuIYOouOsQ06k0xniOnfaX/y\nfQn36XafA4FAx3MkHZXdzm5cd4MKi0zY4ygcDnu2k3ry8lj4sQLpazN5huPwbcow1WO/jpuKND9n\njPlJAN8A8POO4/j6x7SflMkQ6+vriEQi2N3dlbDbarWK3d1dATtsCQaDWF5eFu6x+fl5LC8vY3Fx\nUVDYYDAo3znD65mdRAVenHfdRBc4YKXZ9fV1qTTSr9RqNdk7c7l6F0IDW0KhkOiIxRRWVlYQj8eF\nR71arcoevlgsuuK+o9GouJfuSxjTz2W0psFeWVkRwgy6wi4uLrC3tyfFJhnv7sdFN6iEQiGsrKyI\njjiOYrEYdnd3XTra29vDwcGBIOTau8MlvTZ2jsGlpSUAkMlocXERKysr94qNDCODVI/9HdxUjz0x\nxvwagF+6/e8vA/hVAD/tdz5j6ZnTTPfF1NQUzs7OUKlUcH19jePjY+RyOezv73teh7TEyWQSY2Nj\nmJmZkYIQnJ25TKTQ+LlMBN4Em2jkVcfHewn56ojeLi0tuSixfPTW0a5CoYDT01OUSiVcXV3h6OhI\nwlftNg6z34tEIggEAsJeSx1ls1kJdOEMSsokvkD5+0wmgxcvXvjew6uN3Bp49TsQCEjhjLOzM5TL\nZWxubsrsl8lkEAqFkEgk8OTJE+EkKBaLuLy8FB1xu3dXHZHzkH2enp6WOm3NZhPlctn1bDY2Njz7\npsk37JBg6pTjNJPJYH19fejw5159fu+99/Dee+/1vNYg1WN/y7mtHus4Tkn9/68D+INu16DrzRa7\nMioDcvy41QOBADKZjIAqnC0vLi4k5lnHPwcCAYkTtz8PDg5kxmA2EwDfoAZGXI2PjwvSPDY25ruk\nJ5MM28RPOxOMcd+kjNJt1FRH/YpNEsKAkePjY0GabdaWQYUzHdvI75zd7H4PKn46YgFOW0/D6ojZ\nctTR0dGRi9mGabBcKXqNMT958uSJpPSyhvswe3iWObf1baP9yWQSP/7jPy7//vKXv+x5vaGqxxpj\nMo7j5G//+WMAvj1wT+AfA+3HG05W0UgkIrMUl18a/ecnUV5WR9Gf3IuRkWRpaQmzs7O+MwbzlYk0\n5/P5rpFh9Ero9jBWQLOnMtsvFot1tHPQTDygkwaMxSNIgkik2cvg+x2Q3LfqttbrdeEZ1P0exvvA\n8OF4PC46CgQCksSj731fOmq321IrjwZPNF5vCdkvfvcTeo0YKs6t5aBCT4bWM9s1jAxTPfY/APhn\nxpjP4gat3wLws8PcXFdP0aG2ftzqwJslDSmpqtUqxsfHkUwmBT1noIrtNmE8PZloAQiKGo1GZbnG\n5an+1PcmSWE+n/dtJ12BCwsLrhh4bfCamCEWi0nbSN3lB152E52braPDotEoKpUKyuVyB9I8qOgE\nI7a5XC5LvIOur9aNW99PtE40SxCJSHSJ52F1xFWQ1tH09HSHjrTBR6NRl5cpmUx6jhVjjOQ4JJNJ\nzM7O3mmG19z97P+wz27Y6rF/ONTdLNFLej3b+3FuM0fbnlnOz89dQTV8GwOdvPSMFbff1Py330Nh\nHTf7Tes3u+jZicauyRhsY9clfzmQh4nk04QVeiYLh8OuenB3XdIzx+Dg4ED0mkgkOgppDBP3TQO3\nyStYItqumDuoaL3o76FQyFU3TzPb6AAugpp+EaEAZBKh16hXBKCfaAq1fD4v3AYfSV76XkIj1yg+\nY+29pNVqYX9/X2b3Wq2Gvb09CdgBINlOXiSD5KV//fq1oKh8IEtLS1haWvJdohNZPj09lSX93t6e\n75vW5lGLx+Not9sIhUKyZ+TfW60W4vF4B4fdMAbPAUyfN+O+GWfP/Te/a+kXANOcAYy9f/36NTKZ\njCy/6cIcBlTT3HNc2rOsl+awq1ar96KjWq2GYDCI8fFxFxLPT72kZ4z98+fP8eTJE997EM8glnSX\nJT3zDHR9g2GyCoG3bPBc0vfr2mJ1zsPDQwkeYTUZ7WdPJpOSr06DJ0Xy9vY2Xr58KWy0wA1Km06n\n8fz5c1e8OfBmXzs5OSnLeKLdm5ubOD09dQ1qfj85OZFyx/F43EW3REYXfU40GhVDOjw8lNnebof9\n3b43+6xfRN1+PzEx0ZFPYPO629fR1NyFQgE7Ozt49eqV0IXzGZD+iefqQwem6AN4w1JEkk22eWZm\nxqUjzcJznzqyhQCsnuGfPHmCT33qU57X95NeXgWv9rOyL+m7dnd38fr1a4kO7ee+Wj5WnHZ+onO6\nOZMHAgFcXl660Hj6mIEbHnCbl94Yg3A4LG9mHmThoR9+cXFRlq7ME+esSTTVT5iwYp9TLpexvb2N\nQqHgYgUi9ZRGicnTZ9+T6K3ddiak2Pdstd6USNbZcjpoydYFj5mZGSSTSWSzWekvk2IIVDHXgLpj\nthzLRc3MzAgX+/z8PMLhsOzNvdpaKpVcOiKJJ3Vkt7cfHelz/ADGiYkJPHv2rCNXA4BnO4dhBtIr\nAt0mvcqhx4IeKr++dZPvGYPnTK7DZU9PTwWNByDAHJfx/DcNvtFoyL5LHxwMnK1p7JOTk6hWq7Iv\n5tEtI4r7c40009hsViANZNptoqtN12hnWChrsesjHA53tNNxHDEuvix19GEvXSQSCTHeYDCIeDyO\npaUlLCwsuKiWOWi5x9fc80tLS8LFzu0d9612e/lC6qYjjclMTEx06LmbjvwKU46Pj8uWT1fe1aCw\nl24Hkenpac9nrLd+mur88PDQ9eyJJ32iDJ77Ve7RarWa/IaJIV4ho1TcwcEB4vG4IP4afNKDXP+d\nCHW5XO6grfYSXU9Nn8ujUql4DmamlvIIBoNyji7lfHV15VpW84hGo4Lw6ihDEmAySkxHjenzdZ+Z\nn8CZTNM88fe6egoZb1gbjtdhxZ1EIuHimddFJr10VC6XXTrSwJ5uM115NkOSn45Y7tsWeoGIuuu6\n8bYXiMegBq+fL1+IxHo4w/Pv9rjTuEYvIPZ7yuC5dNdAndcsFY1GXW9jjV6n0+kOpJmzOb/r2V5X\nCeHetlcBRQ7mQqEgCDezsHjowaxjFTjTMAPNJmawASb+nuWPdVEJnSVI3ekBvLS0JPtcGjUAl170\ni9BeiVAvHLR6wMbjcUxOTnr+Xuson8+7dKSf1enpqcx4mjmJfWYNQsYiUEcaa9C/93MHM6nIXunY\n+mI79/f3Bzb4hYWFjurB9nf9YtPjjvrqJ2z3e8rg9UBmUUSNxnMPv7S0hP39fVnGc0m/v78vKY1e\nM7r9xm21WpienpaZvR/WFj6cWq2GfD6P7e1tvH79GuVy2XN/TVIGDuaVlRU8e/asw9hZ3dVOEiJr\nSyqV6igqYQ9afnIfaRs7/+216mm1WlK0UR8MrdW6Y/80PsHDnuG1jiqViqeOQqGQi+hzdXUVz549\nE6IKu45BN2YbL2GknT7sstiaLWhzc3NgdyS3ARrv8JvpW62WpDHrl+P3rMF7oZkcAFqoAM5MNPhP\nf/rTACB7ey7n33//fRm4VC5BEg2g6Puz/jh9pZFIBOPj476IMR8Q/arb29v48MMPXck7+vf2DL+6\nuornz58jGo1KHDer0ngNZpbU5mDWqx9t8Lbu2AbNJ8CXKgd9N9EzHOMQ/PbIXjrSNdGpI51U5aUj\nFvegjhj7QGMvFosuHemy4+vr63j69GnXPtlihzHT7fvd7353KO46PYPrSkX8u+7zzMxMR4kt7WHy\nW2F8rAzeZhVl8IhfQsLY2Biy2axEex0fH2N/fx/GGGxubrqW0pq1VleDJXLMhAvtV+VLwI77JsGk\nrgbK/amfeM12wWBQDDcUColLcnt7G6FQqIPrvxtY6MW/xlnW7/dPnz7F0tJS3/Hgto+f3/0Gv70i\noF79hFRdto7Is2DrKBAIeOrINlSuVgaNXru+vu6oKnuX6EWvccewXPvwG3dkiyKfZIcOh2rdWxJ7\nf8qgCL+ZQyPywJuZvNFodOyddX4zg0o4wC8vLyWzywtFtVcDLLywvLyMdDrtAqT8hG9x+x56f8vB\nzOi+/f195HI5HB4eCnPMoLrrlu3H7Y/tivITDlobH/GLRuSeX/e5WyANA7TscwgYhkIhXFxcCG2W\n4zieOrJj6YlrDJp+y+t7TRyDig6h5d788vISsVjMFbFHHdmrAQK8BIy/Jwxez/A6Aoppjn7CWYkD\nEIAL5bRneAbqGEWfrFFav72V5kQPBoMuxLqfGd4LjefLjC+ew8NDVKtV8d2Xy+WBDV7rzg+ZBuCK\nGdc8gX6iY+wZk14ul6WklS3RaNSlUw5iP9HbG+qHnPxaR+TTp45YGdY2eNszweq2/QiDaOxxdNf8\nhMPDQ5e3R/dTjy8734Avw16Vez52Bs/KIHqv6lfX23EcAeU0Gt9oNFy+WT4oGnyj0RBj5wBeXFx0\nzeBETgmy6L97IdD9zPDch2YyGWHVmZqa6mi7RqrZD53K2Y/uNImol3B1ZM+g3UTri6Do/v6+r6so\nHo8L0s7+d/Mjc1Bzr854dp0nYD9v/Zxtg6/Vaq7ZvhvG4CVcFejnMKzB08Dp7aHx6zLaOieDY80O\n3+51/4+VwTMSTg9YFtvzkuvra0l31L72/f19V4SUDrOksjmzc2lPY9e1y+2ZnoOx1WpJrryOmuo1\nw2tWICLN4XBY6I1Zo5wprnb7Ly8vfaPFOKPrvbwXWKdFt72f3HZt8Iz7fv36tW/kIVOite66Gbwu\ni80Ck0+fPkUwGMTBwYGwJjGph6i+ftba4G2vzqCpvETp7XsMs6Sn7vTSnsk8evVD9D4YDIrLUY+7\nXqnCHyuD1/zsRN67KZeDh3szgnbvv/9+B4sIPwk4cZYHboxFo/ckYqDB881rX0+frz+9xAuNf/Hi\nBYLBoAxkGj2BIq/29zJ4pg330p3d3n76YCd6bG5u4oMPPvDN7Go0Gp7ItJ/46WhyclJ0wz381tYW\ncrmcp44ACJlEP/3qJv3qspcwaYzswWxTs9n0jbaj7gZpw0gNnskF8/PzgljHYjF5Mw0jgz4gu+ww\nAQ4/5XhlSxFptotXAJACCTY6zRLVGn1mMQjOUqlUypWCubq6ikwmg1gsJhFtfNhE6xuNBs7Pz8VP\nbt9b+9npGw6FQuLTt7O4Jicnfftst53n+f1+Z2cH+/v7UviQyU5c7djXIkmE9gKMj4+7XgLUEXEA\nrSNiJVwdaR0xuMZ+LjQsLyOhv93W0TAkHl5jolvlHnosbB1ls1ksLi66dMRgG69n8FZDa7/v+74P\nwI3PcHl5WR7UXQx+ELFdUVxadnuARJn1PrBbuKJmJNHnTExMCLJKdNUezBpdBW5QcVtHLKPEWY0G\nFI1GPbEJ7ZvXeQXNZtPF6svvTKqx976NRqODCZghpbpWoL4/+QhLpZKU1GaUIuvg6WsxMIjJM8Q5\nbIorglJjY2NYWlpCOp0WHbHijJ75vXSk++UHbnIFaeto0L09gA6shff1M3huFe17M7qS7l266xic\nZD+DtxpaS4OfmpoSxJcP6r6KCvQSHTjCoJFuLCzkxidKz2Wqn9DgGfdNdDoYDAoCrUEpu9ihTgMl\nIm4bPAczZzmClbwfSUAZS28j0IyV19z9ACRCTUeLaf51Vl61Y+m161L3WTMK6ZLa5ABgnoK+Lvn9\n6clgKK6XjowxHeNoYmJC6u+ROUkDumybLgTpJ9QtV4RsYy8vkJdoT0U/40iHHOt7ayYnvhSJ4jOA\nSz+zXsQYIzV4RrQFg0EXu8xDzvC8N+AuJuH3pi0UCgPFxmuQJZfLCUgYDodlT8oBazO4aGMG4GLh\nsQez7ZngklaXLyanPxOJtLFXKhVks1mZAfgi1MCV5nQ7ODhANpvtCKfVngyCYzxqtZqLFYgzvJ1a\nnM1mkc1mEY/HXX3m7AXcEJ/ayUNMgOI5fIEaY+Q3WkfxeBwHBweu/IFu1YY1GMy6ctlsFul0euCx\nl8/nXZVxNSbkJXYKcTabxdLSEmKxmKvP1NHZ2ZlMNPl8Xp5BL2KMkVrdZz7zmZub3NaWI9pL9taH\nELqSAoFAx9LeS3RsPBXaC6gimk+ganNzE9PT0x0Dlow3XIrSDcf2eOmIg1kbPgcuUzS9OOzsmHnO\nzHwJRqNRV8VcHR66ubmJra0tVxowByN/r+PH2WeW3dbsqnbCDKvHPnv2TFx9mgWWYcm2r1nryGYB\n1jri9uf8/By1Wq0jf6DbypJbQF3N+OnTp1hZWRls0AFSMksDmb0MnpNRNpvF06dP8fTpU8zNzbnG\nBPfwdr7B1tYWNjc3e9Y3eJAlPeBdfXXUokEYLuN7sY4Q8dWukX4MvlqtCqPOhx9+KAy3mqdPz/BT\nU1MdAKCfjsjHr3+rOevq9bpEjPFvOgOOAxmAC9MgiORVUvuDDz7oSCKyYxU4w29ubkoeggbDeHiV\ni37nnXfE02L3mfv4u+qInHV2LL2f2KHby8vLWF9fx/r6erdh5imky2IQV69x5KWjT33qUzJu7T7b\nGYU7Ozt4+fJlz+ChkRr89vb2KC9/J7HrhvPQJae9yk5Xq1UUi0VB0RuNBqrVqsT0z8/PY2lpSWit\nWam2Uqlge3vb94EQ1deHnvHswRIMBsVFmEqlJFrQz1ceCASwuLiIRCIhy2EOfk1r1W68ifvLAAAg\nAElEQVS3cXV1JdRKR0dHwkjLc/L5vNBoh0IhxONxrKys4OzszFXHnOgxKa0IsE1MTMi9vWrQ+yHN\nto74MvfTkS4hbpcR9xNNv8W2TkxMeLbz4uKio9pRr3HU6769dESdklOxWCyiWq2K96ZXOepevPQh\nAO8BCN7+9nccx/mSMSYG4LcBrALYBvBPHI9SU9/5zne63vxtio1A64qzXqJnNR3rzISFy8tLKYYY\nCoUwOTmJubk5BAIBKRjZarV878Fltz748L1EL/FTqZQw9vqFyk5MTGB5ednF2tLL3aRnfq4QWq2W\n1Iq7vr7G9PQ0stksIpGICwnn0S0QhKsj+xw/pNnWUTQaFSMZpXAVZLfz5OSk45mRc+C+ROtI67dY\nLGJvbw/5fN4VjddLetFUnxtj/q7jOE1jzASArxlj/hDAPwbwJ47j/Iox5hcA/PvbwyV+AfwfBSES\nmkgkXBFzfqLDHXUeMskVrq+vMTU1JSwueqZgfTS/mnnAzZKU7aFbaWpqynfGprtubm7OFRufTCZ9\nf09EvF+D13t1nVcAQGISZmZmEIlEkE6nJcrN1pGf6K0Tz6tUKr5IeiQSER0RHyEH4aiFutDoe7Va\ndY0jvQWi3HXrauuIh+aovzeDBwDHcYjzBwBM4qb4xI8C+Du3f/8qgHfhYfDvv/9+f716C6KJKDUC\n7SdUvE06wDxvfZBTnXXXeXRLYZ2ZmRGWGw0++YlGozUQ163yrq5r38vgNbmDNvbDw0Ppo93vUqnk\noqnSUWN+OtX7UCLNfq6laDQqQTh8IQ5adWYY0Z6MUqkk8QaFQkE8GV7GznPvIn5eoMPDQ6mPUK/X\n78/gjTFjAP4fgGcA/qvjOH9hjEk5jsOi5kUAnhkYH+UZ3nYZ+ZW3otixztVqVWZUFkOcmppCKpUS\nZtZ8Pi+odalUQj6f9zVI+tm1IXcbzPydDi7qllegw5L7qY0GvEkVtkHMdDqNxcVFwSkymQwWFxcl\nuEjrqBfdl010sbm56euvpo50MFI/g/yuYgOb9GTs7Oy4PBleLt/7muE1+8/m5iZqtZqAszzua4a/\nBvBZY8wsgN81xny/9f+OMcbzNfZR3sPb2W298pjtWGcCMeSfTyaTsod/8eKF7EW5RC0Wi3j16pWL\nWFNLIpFwBX4sLCx0NXgOesbG22i2l+h28+g2SAgQHR8fu87TeAX38O+88474zjlr04XkJ7aHY2tr\nCx988IGvr5xVg6mjdDr9Vmb4vb09bGxs4NWrVy4vBFl57XPvIvYMz/wExln0++wpfaP0juPUjTF/\nBuBHABSNMWnHcQrGmAyAktc5DNowxkjxBaKYRFBHKY7jSKw7DVYjnqT1bbfboixdx2xhYQHHx8c4\nOzvD6emp5zUuLy/FaNhP9o9gkuPc1MLjPTWaOzk5iUAg4MqdZ4z42NgYrq+vO+7HmHn7GkSsvX6v\n76t/r3njGd/PWHQvvbVaLTSbTTQaDdRqNVQqFRQKBUxPT6NQKMhSk3H0juPIS4CIPwOTmL1oI81M\nDrHby0hEW0ftdtvzOdfrdcmL55Ymm83KKsTWk58Yc8PLR2rreDyOVCqFs7MzpFIpCSBiyfFuwr7o\n/gUCAaysrEjIMBl9CUgyUlGPyXA47Oor2Xh7SS+UPgHgynGcI2NMGMDfB/DLAH4fwE8B+M+3n7/X\nq5MzMzMST83PYett9SvMh9dIsE5W8RIiweRcZ2ri0dFRx3WGmV00s43WRzKZxMrKSkcsPXnLdD94\nb1ufMzMzMMZIFJZu69nZmfxG/57Le1JM6yWqvp+OQ9cAlg715HK3VCrh6OhI9KdTjbnH50uAriU7\n75s60u1NJpOeORleOiKqzXboeu1zc3Md+mElYS/REZsLCwuyZyerkc0K1E+Ajf3sFhcXXZRomuKb\nq1BiQOPj4/KCZPsnJiZ6jm2g9wyfAfBVY8w4bopK/rbjOP/HGPN1AP/LGPPTuHXLdbuIjipjrDBp\nk0cpLJNMZFNHPvkJI/I0eh+JRFwosi5mOKjo6DHqwY4rZ9isXWtOo9mtVst1PvfyExMTkjzDfh8e\nHqLRaLjitNlXbgui0ajQNPOlp/usow+JZ5CLn/9mwg6TZxhLr5elOvGDJbtspJnpxtQR+0kd2VmX\nWke6zUwm4oqBtOKtVsv1O8CbyFMLX4oaoGN2nmYF6jWJaYpz3bdUKuXKK7ApvuPxuIuDXz/bSqUi\nSVM9x1+3/3Qc59sA/qbH36sA/l7Pq/MmVh4zU/7m5ub6vcRQcn19jVwu5+Km6yemmYygOv89n8/L\nbMbZqdv+1E+0wWtdsKzw3NycK5Zes64WCgVBas/OzgQh1sBdMBiUUNtSqYSDgwPkcjlUq9WOWHqu\nCDh7aaSZcegEBrXuCOZRFzTm09NTQY05s3Jb1Wg0ZGancXLZfXR0JLH3LAOls+UYW55IJEQ/OpZe\nX7NYLEqfG40GIpGIHNSrMQYHBwcd1WP8DF7rV+vIfmYknLTP9RpfDKFl3xgzz2vZBm+HaReLRc8x\n0nP8DTxihxA7fZExypxpRiXM1NIJDL2QaT4QPcucn59L/LsGpe5q8Jq1JZFIyGzLT87WejDv7Oxg\na2tLMAUOxtnZ2Q6+NgZnbG1tSeCP7qPOmrPDaJvNpiwrtUsOeFMuWmdscU9J5JifeknPVVGtVkMo\nFJJZSf/eZsDJZDJYW1vDkydPkEwmXfphIglxhVqthkKhgN3dXYntz2QyyGQykkyTTqcFSwLe+Ne7\nuSj1S1G/EFutVkd77CW9vU3QOl5cXMTTp0/x5MkTwQD09XTmoLahs7MzzM7OirGTrusjw0tvGzx5\nwzOZzEjv2263ZXbiHrKXwWvSCR1yGgwGXcbON/CgYtM0ra2t4cWLF4JAaySdgBQfKAfzq1evxD+u\nl+M2IysR5VevXiGXy0n/OOD4wtD5BgyoabfbHckfHMwEi05PT10BRlpf+juBzWaz6eofgI7fOo7T\nsQpaW1vDO++8g0Qi4asjbfCsZkuPytzcHCYmJhCLxbC2tob5+XnXzF4ul3saPN2YWkfX19eudniF\n0Paa4Rkzz9WjfT2Cv5FIxKUjrkL5rHtxJsr4G3TADiM6IYLMHnyLcfAQbWS46qDXt9FP3oeVX+kV\n6GWkjCO323V0dISLiwvhqE8mk2g2m5K6yJmmWq1ib28Px8fHUuWU6PP19bXoghTX1IVfyWz2jT7v\n+fl5JBIJYZwlQabmzLu+vpZ+MA6g2WyKn54GyMHj1edWq4XDw0McHR1Jyi2fC3nm+/WBMwaefeZ3\nvgxsXWsdMVa9m45oGLaOGL3I0kwks+DY094UY4y8BE5OTlCr1VAqlXpSZ/sJiUBqtZrgHnyRtlot\n2f5Uq1Xhxrf1w6IZXobM1YTOF+jH5/9WOe34htJoMBHlQWRsbMyFet7FC8Dlp24PAamjoyO0221E\nIhFkMhkZiPPz85iYmECz2UShUJAl7+7uLgqFwkChj7ZwdcQyStyDn52dYXl5GYuLi4jH40KkOYxw\nT66jAhuNBnZ3dzu4+4fxK3Mfqp/N9PS0rLy0vu9LR/RW0PMRj8d7Eq8wjZarI46fXqQSXkK++lKp\nJIlNgDsnQ3ss6GrUY5jJN/cpb9XgmbpIBJrHoAUBxsfHEY/HBfnkfnRYg+cD0W0iXxgNnow2Y2Nj\n8oZl9c5KpYLj45vS1bbLaVDR2yEaeygUwvn5OVKplPiBhzV4HUWm+1upVFAsFlEsFl3c/cOIjmbU\nXhpywR8eHroKPg4qXqxAXD0uLCyIf7uXjuwAGwKU/YBhtpTLZdEdPRZ2arEGMakTovFcxt+3vPUZ\nXu+9crmcIMqDyPj4OLLZbEds/DCifcxsz8HBgSuPXX9yL9tsNl2f9AEThb4Pg2ck3tzcHC4vLwXV\n5eww7Axvx4mzz2w7+3GXGV4DVTyazSZyuVxHBdxBRbt9NWsNZ04i39SRXx804Am8GQulkmdcWVfx\n0x0NXnt7Dg8PkclkOkqED1qfrh956wavS/7s7u4KojyITE5OdiQw9IqN9xOb3IFMIgzlpMsonU4j\nnU7j5ORElvFc0hcKBYnQ49FvrLMtDKHVaDx58riv5REIBHrmQ9tig1f7+/vY2trC1taWq/3swzDi\nRe7w5MkTIfvUL/5hlrCa805TVHnpiCy9frrgy88uOTaoaO8Dv2uD14lD4XDYVZCDgOX3nMHrJT3R\n1ZcvX+Lg4GCg65DXTc8kvSKO/MSLzeWDDz6QPbsdM0/yCxIIMmaeBQTsY1DhYCYar69DJFcfwxi8\nTWtNxhuv9t9lD2+zuWjWHr70h8lt1zqyde2lI7+xwbawkIg+BhU/3THMmXEcOoXadr19zxk8UUui\ns0STexHx2RIIBNBsNiX+++rqamhlEeFm3DhBRR2rzEqvXNKTYJDLx/n5ed/lNYsDTkxM4PLyEvV6\nHfl8fqi9q5eQy42Ddnp6WiLoYrGY+NxPT0+FzbVcLkuyD9NOh2Fq9ZN0Oi3homwjQ5UZKspCC9ls\nVlJ9bR0NA555CV/M1WpVVmLaA2GPHeZIEDnXh5/Q66APx3HEo2AfLFZKjws9A1dXV+JF0Ucul5MQ\nZnIJ9jPmP1aVZz6KomevbDYryzK/wUljCgQCkjZ7dXXl63IaVK6urqQ08vj4uPic4/G4AFfX19c4\nOjrC7u6uuIYYRTc7O4vl5eV7BYxmZmYQi8U6PBl0Y15eXiIcDiOVSombyUtH95V7cX5+jt3dXVeZ\n514rQiaw2Ief2FwIPDhR2NfJZrOuWHrGeTCSUXszTk9PJSZDl8K+l/TYR+ku2uB1PrtfmCZRfeIO\n5XJ56L2rl9CvTvCHgJ4uT0SDPz09RS6Xk98DEL/+MNTMfsIYDNuTwbBbvvAYI69nVBr8sJGNXnJx\ncSEeiEEr7/LFSf++n1SrVfFA6AhNjTHpgzkCCwsLwuZrRznqg16AYrEooPCds+UepbfoWGddEMFv\nxiA5JENm+Xlfed1sQzgcxtTUlASaBINB1/2YwsqSTPw9Df6+VhwAJPSVacYEsrhn5b35SWxnVDq6\nvLwUBL1Wq/Wc4XVEYzKZFC9Dt5eirm+goxLt0FrmCjCxh4c+V5OEHBwcIJ/Po1KpSB+Yt/A4wz+A\n0OBtwMVP+Y1GQ5B8RnMVi8WBcQs/CQQCSKVSSKfTEnWWTqcxOzuLYrGIQqEgJJTMX0+n00ilUpJg\nwn/fl1SrVRQKBRSLRdk/0yB4L87wLBXF3zMSrVAoDJWd6CX0DumjH4PX9NVPnjzB6uqq7zkcE5zZ\na7Vah8EztHZtbU0SZvRhGzxJQra2toTxRr8UHw3+AYShmaws0wvNLpfLss8+Pz9HuVzG69eve/KJ\n9yvkcidFNgt5ZjIZjI+Po9FoyJJ+b28POzs7aLfbsoyfnZ3F0tISnj9/fi/tASA14unJKBQKePny\nJWZnZyVPPRQKIZVKYX19XcJ4qaNSqYTXr18PHJ/hJzYtdy8Pik6eSSaTWFpawrNnz/DixQvfc5jF\nR0Yf5iHYM7xXLL2mt/are0DWYLsfveTR4O8oOhZdfzIGnntRvW+PRqMdB2uX29cZ1Hd/dXXlKmDI\n76SRto9Go+FCqclMxCIRfvfQ7eR3xr/bfSafPSm1zs/PhbSBMeb0fLB8lp+OvHTtpyONl2iUnYZk\nX4euXfucUCgkTL9MvmLsgp8wLkQnK52cnMhWIJlMIh6PSz4EXxCXl5c4OzuT9uk9OslYiMno9jNJ\nrJfb9NHg7yh8A5+enro+GUChGV45AHXqJ+O+5+fnO67RL/KqxU6PZXowUflcLtc3Mu0nTP5gO9lW\nItnMP+eydlCxdcQBHYvFPHXdzeAZEamfw8TEhKv9/GQ6tf17grJkNq7X69jb2+u6xahWq6jX67La\nymazCIVCyGQyWF5eFqILXTrK7hu3AtVq1QVsTk5OSh1Brz501e3AT+NRXKJRVCKz1WoVgUBAGH50\nyKcezBrVj8VirvMZAdeNhcVLdCALl5H0BhA7oMHb1+6XYZXJQbq9h4eHgj6z37oy7iDC9GTb81Eu\nl133A9CVqVez2+pnEQqFXG3XKb+sLad/z7gKhuUS8Mzn87594MxLgw+FQlITgLgF9+02Dbhum57t\niXnE43FJWeZvnduConeqPPMovcXeY+VyOakcuri46BqwJC2gweu471gshlwuJ3nZjH4bVHTGlyb+\niEQiqNVqqNVqODo66quWuJ/osFP2N5fLddS8HzYeXOtIM/nOz88jn89LZGUvHWnK73Q6LWQYkUgE\n+Xzeld9/cnKCZrPpYg0mik6uP4JkZOfpFmpMIotwOIyZmRlJydXBWXS/aUYhovHUK7nzeMRiMYTD\nYTQaDckN0M+8p24HfhqP4hIbRd3e3sb29jampqY6jF2zuWjkt9lsYn5+3sXCUq/Xh8rD5pteG/vh\n4aGUvGo2m3LcV/jx9vY2tra2kEqlXOWx5+fn72Tw+oXI+uh2zftuOtLtYDXYtbU14Z7TOuLe3kbj\n19bWsLi4KD5vujSZCecnyWQSqVRKtjnMbIxEIuJ+ZDiw7W+nTre3txEMBl08fvTVn5ycuIy93/Hy\naPB3FG3wjL1n9VibZ54Gz4E1NzcnKbcM4tCJLMMYPJf0OiuLqC/vRVSXrDaUfuPkuaTXsfcffvih\n8NZxViWn3aBCYIrX8dNRqVTqihHYM/zq6ipevHghdeTtF6LORkylUlheXsbz58+xsrIiUYLFYlH2\n8K9fv/a997Nnz8RYuYd//vy5UInzmZC4Qr9EyT//4YcfyqqQM3sqlcLz589xcnLSkc77kWG88RNy\nokciEUSjUXmDDQpUTU5OCl85l08PVX9es/mQYYfLLxaVJNMOWVVYoVUjxEza0Hz5jL1mBVNeizXR\neQ19HdIu8Xc86BPmb4E3Bk5kmFzz5XIZuVyu4578t46EI+8A+6tZWPgy0dzqc3NzSCQSyGQy8syj\n0SgikYjw5PvpyM6X4Djx0xENnXtnouLcoycSCVSrVUlhHRsbk99rFN2utstAmm5L6Hq9Ll4Qgmoa\nade61O441jVgJSMCoCyeyZyNsbExWS0w9v7OjDddqsd+CcDPAOCa5hcdx/mjnnezhCgq36gEkQZl\ns52YmMDq6upAlVHvS3RoLRFl9ovFBebm5jr42O2jXC5jZ2enIzaay1LNvkq2Un2+rl0XDoc7fh8K\nhToQ4NPTUwEGmS2n22lfg/fVvmTdTi6DNSClC11obnUm9qyurkr8eC8dlUol7OzsCHWYjRfodpKA\ndGVlRSLZyHijV1ipVEpSV2OxGFZXV5HNZgWVH3YcEeegTpkGzOKbup1sF6vXaP75mZkZzxj7YWXY\n6rEOgK84jvOVoe8M9x5LM6r6VUDtdh3mp9v+0lGLNnhmm/GtSzR2fn6+YzBXq1XXwQouHMw2GQKR\nZh6BQMB1PnCz1GYOOGcxHtPT0y70l64g1iXjEl23UZ+vc7W1b9luI2dIupwYj8DBrItlEnVOp9Oi\nI00MYetIexr60RERcZvxRuMqqVRKeBTIjpNKpe48ceglus751+2LxWKyBdIx9hr7iUQisv/XL8Vh\nZdjqsQBwtyp5cLtNAEha5KBhpswK4yCPRqMPNsPr2UvH0rNQwfz8vMvg6cNmcUAeTKJhfLfXYNZI\ncygUEm+A5oq/uLhw7UM1TXM+nxdqZ13KmftAO5ST5+p20Dii0ajM7ETUWQ7Ji1t9ZmamozJuIBAQ\n/czPz0vbzs/Pu+qIRy8dEejjYRs8xx2NjeApj7vO8MfHxx0vebbP1qnWke5PMBjs0NHIZnjAt3rs\nFwD8nDHmJwF8A8DPO44zMDcRDQRw0/cO6nvmdfTx0DO8BohSqZQ8NH3YDz+fz2NnZwfb29sol8su\nBJ3LVe7leF0izVymE/Ahtzr55G2kOZlMuopK0Kg1441uWyQS6Sj9RNCMM7ymlmo2mwgGg67+2sUU\ntI6azaYUKLF1pF2drJi6vb0tobk8aPBEvTUN+traGtLpdMf1tcHrQpBcodm/v6vBazafqakpKROm\nwU3WCfQaR7aORm7wHtVjPwPg1wD80u1PvgzgVwH89KA354DhANIo8iBC4Mw+HkI4YLTrjXz4ui0a\nOKNRFQoFiY0ul8tyrj70Kkhz+pOzT5d90oOZZZCWl5exvr6OxcVFQabJo6b92WyXbq9t7JpGTOcP\naMTffgaMH9ft8tIR9eP1UqSOWFLJPuzKRisrK3j+/DkWFxc9r080XlcZ4rjzGkfDuBa5vWo2m642\nsLAlX+Kah7GbjnT7R7qkp6jqsZ93HOdX+XdjzK8D+INu556cnMgMppHg+6bgtaXdbqNSqaBer+Pk\n5MTFrT7MtchZzqqkxWJRqtTw6IWYkoudy9bj42PUajXxoxIU00gzl6O6oiy55TW/vOM4gqBztp2Z\nmZGqK6xhpwNw/MJDeR0vznO/QaeRdeqaMepewmsYY4SzX/eP6bS9dKSX7OTnZ8WbXn3T1yJ+oPvA\n2H9Wxe13HPHZ2ELPBLc+3P4MSu7B7U2j0UCz2USlUukrm3Co6rEsFX37sx8D8O1u16Grhtx1XG7f\nV4aYn1xfX2NnZ6eDW30Y0T5bzbQ6NzfXgWQTlR1E/NB45mCHw2FcXl7i8PBQZtKdnR3kcrmBSRwW\nFhaEM81voBljxPPBGmrcQnTTkUbVuez2c7Mybt3ut59wJrd1NDs7K8U5qCNjjBSK9NK1/bwIRvJF\nrNvfaDQ6xtF9BC3pSLlBtw6VSkU8FrVaTV5cvYhGh60e+5vGmM/iBsDbAvCz3S6i9zE622h2drbP\n7g0njuOgUCgI4HNfBq9plRlvzYOGNajoZSlnANYKZymoy8tLVKtV2QcSsR7G4OkP7pYVR4BJl0Lu\nR0dM+KhWq6jVar7tYr5+v7rTAKE+j+BaMBjExcWFVMv1e+kyJVdfh9VeCGCy7exHPp/vmofQr9jj\niLYxKMV4vV4XzoBB6h4MWz32JwdpnK7uCcAV3z1Kub6+luUrCQuH5VbXNc41vbYmbaB/d1h2Wtac\noyuJcd/0lXNLQbJPDkqWM+rX4GnskUjEt6AnM/hoEP3UPtezFw0kn8/7tot91cUjug1ae69ONH5q\nasqlIxqk37KbLlOW/yJgFg6HJVaepBv5fF6IOKjru04cXuNo0BUhy2HxuBeDvy9h1VCNCJdKpZEj\n6Y7juApEMFJrGGFygy7NOzU1hXq93lHFddj4cSLeLKC4trYmWWJklq1UKiiXyxJ4ovvHYA0v0e3T\nfvFuTLBc7nLJ22vlYsfY0wPhp/OFhQUpd02CiV4Gb1eVXVtbQygUQqlUEh0dHh6iVCqh0Wh4Xicc\nDnfkl5MHXpea2t3dxc7OjqTCan3fZUlvo/fMGxhESBumn/9HxuB1WCTjrfsp7HgfcnZ2JmCMH5DS\njxB11W/k8fFx4Rdn5Bapht5991388A//cN/Xt2d4xn1zVmXxgsPDQ2xtbaFQKEif+ukbDV4TKPQi\n2NDIcK+Che+++y5WV1dl9mI8+MuXL30puJnRp5OIurXH1tHa2hqOjo7wuc99DgAkDqFSqWBra8u3\nYgwrsXJmTyQSksqqZ/i9vT1sbGxgc3OzQ9eD8v9T9DjqR69+1yBhRr/Pn/IgBk920mGV9FEQKtR+\ns0ciESEjOD8/l4EzqMHTXx0OhzE9PS0MqYFAAIVCwVV77ejoyBeQ8nuJamR6FPLuu+/iJ37iJ2Tm\nYQFO+s69JBQKie6Yy91tu+Wlo6997Wv44he/6Kkjv2y2s7MzLCwsCMLNuoFkL9IeFEb43Zf4jaOH\nktFPsY/yKI/ykZFHg3+UR/kEiRkGse7rwsaM5sKP8iiP0pc4jtMBDIzM4B/lUR7loyePS/pHeZRP\nkDwa/KM8yidIRm7wxpjPG2M+MMa8Msb8wqjvp+67bYz5K2PMN40xfzHC+/w3Y0zRGPNt9beYMeZP\njDEvjTF/bIwZjMLnbvf+kjFm/7bf3zTGfH4E9102xvyZMeY7xpi/Nsb869u/j7TfXe470j4bY0LG\nmD83xnzr9r5fuv37qPvrd9/h+8ssq1EcAMYBbABYww15xrcAfHqU91T33gIQe4D7/BCAHwDwbfW3\nXwHw726//wKAX37Ae/8nAP92xH1OA/js7fdpAB8C+PSo+93lvg/R56nbzwkAXwfwgw/xnH3uO3R/\nRz3D/y0AG47jbDuOcwngfwL4hyO+p5Y7s/L0Esdx/i+AmvXnHwXw1dvvXwXwjx7w3sCI++04TsFx\nnG/dfj8B8D6ALEbc7y73BUbfZy/mp5E/Z5/7AkP2d9QGnwWwp/69jzcPaNTiAPhTY8w3jDH/8oHu\nSUk5jlO8/V4EcH+lWPuTnzPG/KUx5jdGtZ2gGGPWcLPK+HM8YL/Vfb9++6eR9tkYM2aM+RZu+vXH\njuP8BR6gvz73BYbs76gN/m36/D7nOM4PAPgCgH9ljPmht9EI52Y99pB6+DUATwB8FkAeN2xEIxFj\nzDSA/w3g3ziO48pUGWW/b+/7O7f3PcED9NlxnGvHcT4LYAnADxpjvt/6/5H01+O+ZJwaqr+jNvgD\nAMvq38u4meVHLo7j5G8/ywB+Fzfbi4eSojEmDQDGmAwA7yyOEYjjOCXnVgD8OkbUb2PMJG6M/b87\njvN7t38eeb/VfX+L932oPt/eqw7gzwD8CB7wOav7fv4u/R21wX8DwHNjzJoxJgDgnwL4/RHfE8aY\nKWPMzO33CIB/gB6sPPcsvw/gp26//xSA3+vy23uV24FH6clGNOQ9DIDfAPBdx3H+i/qvkfbb776j\n7rMxJsFls3nD/PQ+Rt9fz/vyJXMrg/V3lMjmLbr4BdygqRu4KVjxEPd8ghuPwLcA/PUo7wvgfwDI\nAbjADV7xzwHEAPwpgJcA/hjA3APd+18A+E0AfwXgL3EzAFMjuO/fBnB9q99v3h6fH3W/fe77hVH3\nGcDfwA1z81/eGtd/vP37qPvrd9+h+/sYWvsoj/IJksdIu0d5lE+QPBr8ozzKJ4YJ2/0AAAA2SURB\nVEgeDf5RHuUTJI8G/yiP8gmSR4N/lEf5BMmjwT/Ko3yC5NHgH+VRPkHyaPCP8iifIPn/a8ODHDMs\n/ogAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x6af34a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"exec(final)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.4.1"
},
"spitball": {
"api_url": "",
"desc": "",
"id": "",
"vis": ""
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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