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@msacchi
Created November 2, 2017 17:18
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Prototype for forward adjoint pair for the Parabolic Radon Transform
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Forward / Adjoint Radon Operators ##\n",
"\n",
"#### M D Sacchi ####\n",
"#### [Signal Analysis and Imaging Group](https://saig.physics.ualberta.ca/doku.php), Physics, University of Alberta ####\n",
"\n",
"\n",
"Prototype for matrix-free forward and adjoint operators for the Parabolic Radon Transform in the time domain. \n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"using PyPlot\n",
"\n",
"nt = 200;\n",
"np = 60;\n",
"nx = 58\n",
"\n",
"m = zeros(Float64,nt,np);\n",
"\n",
"\n",
"# True Radon coefficients \n",
"\n",
"m[86,10:10]= 1.0\n",
"m[59,40:40]=-1.0\n",
"m[29,10:12]=1.0\n",
"m[19,40:40]=-1.0\n",
"\n",
"\n",
"\n",
"d = zeros(Float64,nt,nx)\n",
"p = [0:1:np-1]*0.006\n",
"x = [0:1:nx-1]*10.0\n",
"xmax = maximum(abs(x))\n",
"xn = x/xmax\n",
"dt = 2./1000\n",
"\n",
"# Compute data by the Radon forward operator \n",
"\n",
"for ix = 1:nx\n",
" for itau = 1:nt\n",
" for ip = 1:np\n",
" t = (itau-1)*dt+p[ip]*xn[ix].^2\n",
" it = int(t/dt)+1\n",
" \n",
" if (it<nt)\n",
" d[it,ix] = d[it,ix] + m[itau,ip]\n",
" end\n",
" \n",
" end\n",
" end\n",
"end\n",
"\n",
"m0 = copy(m);"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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oEC655BJ85jOfwWOPPYZbb711o6YlCMIZQt4DBOHcR17nQBSm/s9EFFe381FXEqHI2HqTisbEVwy3rmTCUtfS9fACMfEnrwMX8iRIFReZPFpMi0z8m9sxyNZRWnezYK3blsYMEe1wcASxrr2I1swmYtgNB7uEsFX/so03EipzkWy6Lopf38FsmFgGgM9+9rN4//vfj8997nM4duwYrrjiCvzzP/8zXvrSl66776n2J2/UMeQ4Z+8xhNPP030PONX+5I06hhzn7D2GcOo4mc/6G06xP3mjjgEAN7z2xTGSy20IHBKnQWDr1LYB+DG8sAxeXi/AtcYNr30RYhIhT7Kr2j4q9Piiy3SfxBaicMP118TzAOJxTMnmWvFZ07Isd5sk1gpV2ce650Yzz7YFACaQgxWjElGunqfOkNhVuEAfgg1rd/10uPfee3H11Vfjq1/96hlJVBOevZBn+Z577sFVV1210dMREF////G7V56RRDXh2QF5luW1fvZAr/Vv/tVvnLrEuzMF9xrzKCiJZE0CGKCqEhHjI6U+AqpzhOoTXBxyn7A1LjGu7EZrRhDTJLRJTANrensVF5TG78f38RUrEo+yj+KSqLbMM03zTUS9QWLVCD5rPh7tY6IFgyc5JmNrdnxmw0is4OzGg5IMrQV0hnu//ySu+d8fWvf1v6GRZUEQBEEQhHMDiojqKGqDP5gl71FiHc+1g3L2ASAK1CAkK+NXo6GWrQ92B4q0ci/vGvPmNohKzmGM6FJCYFgR55mI4WqSoEIU7MbvmvvfFr0i3gBWIypznsBow2HdXGy8bokA9/uGxMJ+Ng92GusgYlkQBEEQBOFkIGEYyqJR2TUuGJUXjGUUsNYgRIoV7c8UXBJR7mcbYPuEahNgEVYf6V1z3pXSdMoiSUh0AyIIY+5Z5gmK3CZC5x8sIj6Kbssw7b72CRLPtohCnUeOFRBuRnj5vBC9N14823g9QmTb20oUF+LDIWJZEARBEAThacOjx1ms/ZtYC7zooyoQPfWVKzWOe8QdrzLBD60AlbNxvFDkjUDWm3s1UbCvKLdR6PKkvkQs02pfsQIKMB1/zt5eYksXLNeIEeGe43gRTKJbaXaToXyyn4pVLRR81Q/NotQ8yg6Eahj8/Ib0KwMilgVBEARBEE4RZH1gtotEk5E4tekuiZ+XIp+0C7dIkA2h0viD9gmeYYO1AsppxNumYnfgedGxLVxlDY/Oo2WEzw9gZdqAnjJ1/HwUnwt5o9kNgMqcSA6RdH9jocnG4b3bNFfl52DYnKs1ma11Qn4IRCwLgiAIgiCcCnhL555oMLMFcCUbuvVZn6A3IIJctSSEChg5E568acggtcx91f280Wucm5twFKE685FtIElYJPFPtY2VismHIfKNeD6UEDlIuPeztmiatj9n02VWFBb1Blh0njzOdJ3K3mP1QcSyIAiCIAjC00XxB0wsryV6eaIaSiZYKbmNbZ+UX2NVH4JPmCXErdv2uZLslnibB1ER3UkJOh/1Ta6FjcKZxLLOnRjWOYuis+i3Cv9Uzpke6/Q60HZa+6aF3uKRdPZjkWON+HwoRMG8Zvg9ImJZEARBEAThZFAUGQWiDUJH6wDQK0h5lQpNvmNViYYCsQFINVJLtZRVFM7r1lGuJLyttw+v0czH0azaByXZ0ZypgYlhgjmcD4ldlmBHZeL4OVCipPKdC3nVjSQwz0W7Tn+CX5k8010v2mtuna0I/TUQsSwIgiAIgvC0oUgtJeb5CDGtA9ArSikBzyDWVAarGMGsEiE50MYW0Vk9JhLSPtyPO3CeTND31FHuB4tkh2G4kK1YHXQGlBULRhDLFb8yEH8bbith45MoDxYPy6bLEidJuPMkScDdrJRdt2/ZBvKWv3ZeLGsRy4IgCIIgCKeRPpYBHtms2JMDFnGfxLJBf/MmHN4jTDWMQ4Ibj1qHf/pMsZLMRztYqhpRsTfw2sdKAfAtosN47PjWzy94jyt+aZ0BqMdr0g+KFocSeqw1trUACoRuf7ymc7VKiKJzrfi1qVkLEH+fYD8+EcuCIAiCIAgnSiKS/bLQQY8n9/URZgrOplGtchHEKYsCG+Oio4BbljfjcYcpDdeTzMei3EGkciHLEgVDdFelQ1ZrFFvAeZBZxJoEclaL863uGoS1jiXh6GYh1Gam6DsJ6K5bF+bhr79l1zuUtLPxmiUe7eES+wgRy4IgCIIgCCcMS5Tjnt3MR1JD04xB+wI9orNnTBt9v1RRIqvH6GqSbNfvMCzSHTzKla6A1XJ1IeoNFiFnYtoi+ov5QopGh5J2Kq2AkdRjZvO21if/VY5jEOszZwqx6x9S/3JyPZHeEJCtI6u5Wsym42wsxrCbmfURsSwIgiAIgnCi8A5xSbWKSuIcRT2DC4JHkWkfk47JvcJBdJLo5ZFTEq0VwRwEsFpHFLKqGtVyc5T8Zkxqw0jaTg+ookE1jRNx7H/z2suh6YgFSuraRxYP5lE2JYBuHJ8L6yCa2fUM8/BzIN9yuKZxWsMgYlkQBEEQBOGE6OMtBhAqLyguiFnUM4hGbh9golflCPaKsFxFKwOvHFHtnMfn1uP7HQC3TYSSbjwizOwM6Y5MaFaFOvzNAUV3qSmJF9CUpKgUoHyyHSX4AeymgDVesaVLHAx+cC5fLbsZoe3pKaHofBdp0xe/fEjvsohlQRAEQRCEkyXxKXvxxrvGJbrMJr9ClDR4mGkfy6LNlSS8nohyxfPLt0/aUbPxASRVMfixKIGPNxHpCcX2mW9PcxSwufC/VWU5bU9C1s8VzJoRrpFm49s0es590Dyav+Y1WBsRy4IgCIIgCCcERX5ZAp3SLjKseYk0ILaBrkRjDUWT9eDOfScC9yf3NDGp1m42FWELVrKNJRcGsarYefQ5ZohA+zJ2ITGPRXEJ3omPRG9IREScu2LXNh4QPeI5gZ2vBkKyJHy7bIp0W6wzToqIZUEQBEEQhBOGopXKV3LwFRvIX8w26xGavGV11oi2B6q9/HRQbA5VX7Mtva2CIsEkUJmQVzmQ5UiagIRodSXq6w6IGMVGFMihEQlZUag5CPs7z9NoNFARxWBi+QRuIoL4901hSHyTMDddoPRe6NB6e31ELAuCIAiCIAwLtzrwBhohYY8S5nhEuWIVCBYBLkZZe2gy3fIufdXSb1zM8uYlSTS5IlgTa4fvjhe0L4noMh6net4qS20WdJ6htXWXnWul9XSYD3X/43DRzAQ40BvN5vMJvmyK0ismknkUmcbq00VxCEQsC4IgCIIgDAUJZcWiyLyuMhPJ1PY5qZpRHQepSDVdV7mBrBkUJQZS7y336vJkPiCNKANR3PNIeGjPzRIUTbFGZJvtQ01SgsClDoJFnLtiQjlEsP3YoWseL1fHPMWKnUuP15uhM9fFEMod25RxnrQvdf0LsKg4if4hELEsCIIgCIIwDCRuE0FIvlqdaLxov+BeXEpcA6IX2Is2QwLXIIhYXl4umQdLkKNjh4hztVIGi+7S5JLIL3UaLNkcqufNjwOEShfhXFnUO14odg2qdZkpCs5tHUw4Ky/qk2Yt/GajIoCD8GXnZkvECDj5oKtjDWfxELEsCIIgCIIwFMz2ACCWI1MsYqqcmFQasOSLrUZ9fTRYZ96+QL5i7ZpnhFbXLLLa18NbsWj0q71MSXdJAxIgRppp83WirBaI9Zb5+fqVhuwo3HpROXZG4pz2ZWI2eIj9jQO/EUg6+LG60GWbRfIpik++bCaIE2sH20bX1j5nj4hlQRAEQRCEYahWaEjsDiyBjtbx6gzWe4FDHWbeWINZFHgNYVuNxrLxAWbNqByH70/LM2YZCWNzH3Q1+ssgoTwwGc+6eZMwBuBEr6+prHMgbzhxyjsGGoq0080BT0j0x9AkluuIdalLN27Z8R5vv7/OENuFA6H+coigMxuN0iKWBUEQBEEQTjmKPag2JAFYRJOLWPICKy+GfWJdWcTlIYpK9gUmXHn95jULODBLAxe2uiLwk/Phlo4sHaN60okPGjEiblgEmZ83b/8N+BsFvx1PFAyR4zy9VqG8XAmUq+w0rT824jVLfM6VUnkhAZJH5y1gi7UuZkDEsiAIgiAIwonCvctJ/V4uWAEXYfWJZjp30UwLLwDbbBwmWnuEMjdDM6qiOixnYpXsHryuchhbp9FX0KGY2Ab/28R9AJ+Q2EkFOLeC8CRFa3qTCOncMkqWzBEsJDziXXZZpQ0WmVbK7dOTxGiR1L8OJ0ZJij7CX7IW2msgYlkQBEEQBGFdeFIYCVxeCQNI20OzZUH8+cYlygKFLxPXrzZz9bg8QY+irgmDws3MbmBKAAUbx/+jyDNcFeXVKhLkJaZ9EO0QZCGh0nIUZdbKteo2patvTGLZlP4yeiFPYp37oLl1hW4srPXb52x7FjU2tL2Jta9DpJ7GJRFeSmRZEARBEATh5GF2AN4dj5d3o3WGSpiZ+JV/iJQiWgpCXeDKmD1VLyoCOkRtuTeaCVvqVkd2Ct4lTylA1eI4SfS2RPRi080A2Pj+OpCY5bWTrRfglotTmlsJFG0vdr1QVspZMzS72YDy0WMm5pMIM5xnma5ZsK1U58mj+ob5mas3E3S9hpPBIpYFQRAEQRAGwaOeiglJ5ev86hyKhB8ULPcKc3uFBWI9YG9D0CzhjrAWSee5uAKhAYjScKKYljOxq1Xvvjzyq1QU7OQ1thVrBpjIDsu56GSWB4rmqizdlqwOVIeZtsvqXizn0UttCsB0YuS6WoKOvM/8WoTovr9mFqlgDjWgEce0Jta+zuqVih6DEbEsCIIgCIKwFtXkMF5+DRbWWigYp8uS7nOVmslWpWNyO0VoNELrK8uryXUwbLyK5znx8FIEmK0PGpii3+yAieDkF4GivCraMMJ+vqGKNVHoJ/sgCtNw08F80IYJdz4XqmpRrTlNNxSWkvxYlDxpTILKfOIl6D2/wYhYFgRBEARBGAZq+RxqCZe+m52CVUzggaKl3JNMFgakohlAGkkFE3gVrzAQLRZBXFM3vorwDhFXb90wPtKalE9jNwBVgcvbaYONRS2lgXjs0jpPsSmdRzmrs/Ola0b2kGrTFCApecergqg+5xW8zP0sGHRulSh3sKPwSDiQlNlbAxHLgiAIgiAIw6BU9NoCiMlszANLEVRrXLSVe5NJKCfuChbFpShqWIdeIUm+Z+5T1lklwgokQjlU6mBjhHrEvImITfcLXfsUUr802Hh+37IDFKsAWu76ZKxttcqj7aHsOMsFJe8llT/8sZLEPfTOK6kRzc6bfORJZJk3gDGAonJ3VLZvfUQsC4IgCIIgDAVFYlm3OgDR92uAktX4zVtR/Jo+4pCG7CugTRSJIRpMUWBe5UHFKDDAllePw7rgJV5oRNFJ/mzoVJAGcW5dIh6VcjMsKU/nQG3E15G2bjkX96aL4NnmdZB7Wlkr78v21hHlhTrdTYRydKxaBo/M9zRd8cKYR9pDWb/hfBgilgVBEARBEIZCxehlqJlso2ik3wCQN6CyOmAMLF9eFaqoCGUATmyWaXQ3aayh0v0sEErAwT+u6kCtYwe9nmoYtCuzLEB7gdtNI7BlB+gsAMUKmwclO/J6zhQN92LXdPxc2Q1AtbNeELc+Ek4+b7p58AmVyBvR5pJEh/l5M7sH3cwEgey/IRgSEcuCIAiCIAg9UHIZRT95PeXqpiT84jZKUU1lquXLxCwfvyfCye0FtGklAkvCNqn0UBme5hXsDMNUfmARV8UFNRsLQCgJR2I5ywHVgJOVzCqhvdgN0e9kcpXxq9cBfWwSPNrNbBk9p9HneoZkS3Y9hromIpYFQRAEQRB6IQFcrQdMFgMqjcYT+3x0VUHBhprKrMJDELPcUtGvogPfhgvlPhFjyx6EpiEkknkXO+bVVVXRzgUlOwCJXvJFqxzIGq7msa75Dn5twGS90WqyU9C16VfOjuo082uoMmblKONYSruHZTs2QqmK5X61sIMH2sSxyaqR1fo88b2IWBYEQRAEQagSBCJ1mWOJcFQ7ONgyvJDUGRQl+Bnuz7WpUAwVGiiy2SeWUwMWAAAgAElEQVRpLbSfJt+u37QnQsuWk4c31FvOnCDUuYsEm67bJrE/+GOQsKc5kwUkRMjzWCM5a7hxyzZssQq42wNEQcyEsbHxGqGPWDZM7OoMyLSLVFufjGd4d0ADFB0nlvtBiXzU4Q90HTy8UoctneAfAhHLgiAIgiAIPXAhzMq/8WoYQBS5puu2CUl3rLtdT+3ffiXRqtYLWs/9ySzhrV8liWrEOERngSTiXK2pTHOkcySPL7dx+JbTpr0As/gUzPIR181awQlSUzgfM49qh0YoGjDM760o0ZDELI9mF0Bh2dxttHJQHepgpeDXkZ+fRU+zFQCxqYu/hsUKhkHEsiAIgiAIQpUQVc1iMh/9TsRy4a0IXfen2zkmoFECXNKpjyfnccHKLBhcIId9vEg0Ci66XRXLOgpBQ4K6jI/Den5sinz7pEUAsVwd+aq9+Cw7MCtz6C4cRLlwCLXWOHRrHFppWFMAZdd5takzn83juSsA0C45L6OoetW3bWM3v6D7tTsHza6DJtFNEWTbex1tmdanBtxzFCLeBuiKWBbOAKboor2yiM7yIvJ6A/XWGGrNkY2elnAOs7jUwdxCe+D6TCvUahnqNQ01KBlHEISzn8TvuwEYZlcI3liW7MY764UOdECoRWwK78clO0XGdBsrCxdEnYnrecWLnuoRleYaJDIpYU3r1EoBtn9QoHT8WH7NevHpdGtsT22thSkLdDttdNtt2IUDsPOHgJXD0Fohqzfde60/nlUaisrrAYBmkWGlgJLVnOaR4HAtixgND7Wp3ZTjdefwqDSLKIffFNlHrEhC514O/izhiFgWTorVpXkcePB+HNzzP5jYuhPbdl+BmQsu3ehpCecwex87DrUyOBrQauaYnRnB7OZR1HIRy4LwjKVoDx35Oy3oLlDm0fMboss1ZlWoiHlKeAtf/9socEuWoMf9wQnMr0wWAypJxwVz4glmSXthP0RhaQr01CO2FbFsSpiyhCkLWFPCejFuyg5M0cXKShtHjq3gyLFVtNQSpupLmGh0ULaXUNbqQH0EOqtD57V0HsEmwaPiBdD1UWuyadB86RIkvmeyY1SuVdntfc6o1rVl1z3pBhhvAmJN6fURsSycFO2lOez/wb144D/+FtufezVGJmdELAunlYcfPY72scHlfqYmGtBaYWa6hVo+fB1NQRDOMsr20J7S0wIl9hUZE8t5rKZAtZN1BmRNIG+6xDNq+xz8un28ybbw23ZSX2+1Ex2U64pXrCKpqpGRaFd+HN8pEECsyuGT5IxfX422MrFsTQGzuohydQll0YG1BtaUKDsrKNrLmJtbxg+fWMYjTyxh82SOi3Y0MTbbRNlZRrHipWQzg9YjiMmLLJLN/za+qYkCQsfDYNXgv5kXmSLpPImQ11lOqoX460CJiBqIbbnp2wEqIzdcQEXEsnBS5LUmxjfvwOwll2N6x0VojE1u9JSEc5xNU01s3TQ4g7lRz9Ful3h8/wLyTIfSo/RFXbORYWy0jvHR+pmYriAIZxVUem1ARQnelIMqK3CvciKAWftn8tpywcqjvMFmQJFNVrUCYBYPHk2l5EDrhW+0OsQOf+zdrSfpz8bIcoguV+sSx8dKZ1B5DRksbFnAwjiBmedotEYwOTOK2WwWUxMNjM62UNvUQt5oIau3oOtNqFoTqDUQI7lMiCp23SgSHs4XlShwJToOMMsLqypSbUrSUw6PlYmjH434fCntxPQQiFgWTorG2AR2PPcqjE5vQWtiEyZnz9/oKQnnOJdcOI3nbm8NXN/pljg+v4o9+46hLE3P+unJJnbumMDYSH3YoIIgCBtBIjZPFZXybD3HVLGdcuZrCVO5NLJfBLFWc1YNXg2D2j4DMTLNE85CyTnrhXcNSdUGEunGRIGrc6BWR+wU2EVIjiNRmMEl/dEcuKju1wwkVKxwc1M6h1Y1qNoIbNEJJeGyegu2LJCN58i3TWMTptFoNTA2UkOrmUNnOZTOoBV86Thmf6iK5WC5YOKebhx4EmNPnWn2mzc34TcA9Nzx0nXJjQG/CfL768x9GzAEIpaFk6LeGsPmXZdh867LNnoqwrOE87eP45ILxwauPz7fxvxCG4cOL2O1XfSs73QNJsYa2LKpYCVGFbJMIdNaBLQgnC0kdYh5lYh+f6+1DSrbmLhNdRcSq1SPN2v4H/+YRzp1Bpg8eorLLmtgkkXRGCwEJARJrHk/dOkFMAloXQNsF6GJiGp4UWddclxB86U3sAywLEJtmRilk0vK1vlkQPCot4LOo03CdleAbh2wBtaWqNdGMTa5E2riAiCvs339/mXHWUXK1TRKTNB1CZF5nzRZdlgbbP+PZRF73hQmVOqwSKPr1aYk/kbCdGLzkh5UvCEaAhHLgiCcUzTqGbZuGQUAdIveN0mtFVZWu/jensNhWbORY2a6hc3TLeTicxaEswOq7PB0qTb5cINGsdYPzRpv8E5vfExKIqO6xFywV6PhoboDlZGDj1DrmDiotBPBZLdQNKaNAjO0s/b7BSsHWCMO73PmdZXpePR3tcteaArCjqUzKJXB5g2gswJ0l93cy473kDO/L/cl6wxAPa5LrhliFFjbqKN15m4GgvBlc6Pni8Yo/Q2EYQ1TQrTapM+zgj+fOrjVpOfmatA3DBVELAuCcE5Rr2fYunkUUxNN2D5vhMfmVvHYk/P44ZPz4X1yYqwOa6cxNdEQsSwIZwshSvh096cqChWxrHWvCCZILOcNxK/0OSxJjoRtxqO2FMW1sXybKX2CXRGjydVkQaW9H5cJX8ALUB1FndI+8sxsH/DRaIUoNi2r8Uy2EtClqAr4IiYk0nyyBhQsjIXr0OfPQRWrbv+QhJfFsVWWXgv4+dDzYAvXzY+8yrzZS7/W1fxmh9p0h66IpU/e89fKAmm1DNV/PvQcwaZJkesgYlkQhHOKTCu0mjlazf5vb8ZYjI3U0Wrm4fMnzzSWVwocPLyE8dE6Rlo1NBvy9igIG8oJeZZt+pi+0g91fIccl1sIuJijaDP5a63vAqcAWMWi0Db+kM7WGrCZD8iydssk2lXuGm7wWsjUajvRcqyyBI/A6txH4P18YFkwVcfKGVx4kt+Z+565ePdjqdoIUHa8jq/H45DoDiKf+YqrSYbwgtn60m2UdBhqQ+dsHryCht9dGYSW2ZSkZxU7Fk96JJsNv2x0A6Pjc0IR7iFvxuTTQBCEZxUjrRp2bB3DSCu+/RWFwfJKgYf2HcfMVBM7to2LWBaEjUahT2R3AJY9CFYJP4hi4gtMjA0ci7zCNai8AZs1AF2HzepQtgRMF8oUrhYxHUdnUKoGSxFQa3zElTrYZS4iyku+hWYjAJB5QcmEn1JuOb8gvMpGVhvgxwUAHvnNo3UDpReaOgpjnSPp7scFa20ESmnXla85CeQjUSDzahY8GY/bPcLNhL8psFm0ppBgBdh4FEH3c9B0s0M3EOx9ma6VKRBtGP0ixf7GRNfiPhShl2oYgiAIvbio8xh2bI1Jgsfn2/jensN4+LHjWFoexdhoHVs2pZ0oJfFPEM40QwhbvmnytT0liKloExgG7uVVmbMj1EZgdd35X03hRJ/qQJVt1+JZKSjtty3bXkRbFpnOAOMrXHBLBNkKlIqR5RD5JSHaxw+tsuhDtiZWyAi2M4qkKlb6zm9fUk1iEqBrXxtVGwFqI74ih38cbB4luxEhIZ/B2SEo6ktimpL6fDKgoYYifcRtMmYWbxAMr4yROf90scLGSp7I9LrBi2OKaFsAWe6TFddHxLIgCM966jWNrZtHUJaboJTC3EIb//fBp8L6kVYN05NNTE00RTQLwhljUKSQVlcS+IKFgdfo9aJwzWOQr5c3yHAi0prSNxkxgHYJesoaN2RI7rMuMEviOYn2+q/6s8y7QXjnPBOnkDQU8dUcknrC3qerjPsJwpj2y9c+TdNNm3rQ3EMkm/mreQJgqAhSR6jswedqDVCWMdId3C1VIU5RdOutHLV4c2C67Hy9VSLp/seHof8T1AEwR0woVEjmzkvIlW0n0sONkAIsT4ZcGxHLgiA866nXM8xuHsX4aANPHV3GgaeWcPjoclg/M93CRTunMDXhk34EQTj9WDBROGADquYQhBZFOEneqLVfshbx6/28GUUkjWMLoLCALqAMb3BBPuXcCU3ThQ1d8ipzJl+uUl54dxDbT9N5qFQkcl+1tQC8CLf+nHiDDkVeY36iNH9vUygLto+fE1XOMF2EZikkqklE85rTQSwzTOlEaLhBoYh11RNO3mIvojPtj+eTH/k1BSu7l9RdZs95+Nag5r3H2u1neeIiJU6WrqwdF+UqAzIrYlkQBGFY8kxj3Hf16xYljhxbScrOrbYLLCy1ceTYKpqNDI1GLq20BeFsgHtnAcQI5TA3tZWv6sneEMSnhmXNMBTbS3GPrgGcmKWoLb03qDi1YClgba1h0qkn8+KWiur5sHWhFjE1KeHCks2Ykvq45znxJzN7A/dOA97zzL3C1fErJ5A0B6F9WN1kxfejGwVmHQm1lhG35Z7maqMV3vkPOj2O8s+BNbEONqgOczHAwtGLiGVBEATG2GgdO3eMY3wsetnK0mJltcD39hzG1i2j2LZlFJPjwyWGCILwNCGROQgLXzGCJYAN5ZPqY90IYqoGW2sC9XFYlceIsC2Cl1hZC+uFmwJZMjIADVjeZY72sYWvhOEjoHmTRXG7MSoOb0kIJd+yOFY4T7o2LPKqELdLEt1Y5J324aI6WEbYvJR2y6nBSKgFXbFUUMWJrBbL21GkneaTPJfVKLG3Y4RayHx4AxRtdoOh43MW6kRXaicrBdethZ5XOp6/tqEjYxbXUVOUIRCxLAiCwBgfrWO0VcN522Lk4tCRZTz48FHseeQYitJgfLQuYlkQTjvrRIhDIljf8OwaVKPRQEiUsxbImrCNTbC6FoVc2QZMG8p0YU0XypItgkVfdQYFDQtvVyhtHFP542rfNluXznZrixjRJQtH2XFzs9ySkfnKEHTu5K9W0c4QSqjxH15hQkcxS1aFMH8N5C3nTzZ+TjCILb65WGbjUoMVboMB0uO6g8eIe/AU++VBRNso1AvfCTDzkX4aixIgB1UB4dcrLCPLDIvuW+NvCEQsC4IgnDBaK2idfvCOjdSwZWYE7U6Jei3D4aPL6HRLTIw3MDlWR9av8L0gCKeRihXhRPYh3y+vuqBzJ2Qz50FW3UUnmjNXZkzZwpWNs8YfzX3VbxNLAYucGviSbHUkQi9UY6DycNyf6/ehcmY99aC5vYBHXI2PYtve/ZKSbF4Ah0uXxagwnUfp/dRKDe5imFTboI6DQPA996t5reDsFkkSHmJkn+/jK4tEDzftywU4JfDp+DdPPgzL2I2R4lYV8nsP994tYlkQBGEdWs0azts6hsmxBo4cX8GhI8s4eHgZF543gZFmLmJZEM4oXGyFf05gH769F2u65kuk1aBMB7ZzHCpvAXYEULkXyoWrhBHGceKL+5phS7etYlHX0JqarBedeGyeUAgVE+n4MtqXrBlUTg1AqGRRdlMRTU1PkrbWZAtBtGSEluLKCeVyFcFfnDX6JA76S2Z9cxCdx/rFJfMA8whzz3Nl03sdev5onzAms5Uotk+AbCXw51WZJ6+3za0uob61j1wPgYhlQRCEdWjUMzTqLWyaaqHdLfHkwUUsLnUwNdHA4lIX1gK1mkYuolkQniGwJLTQ4rrlxasN5dqUKXwN5NIJZSBEI20QpgrWe2OVBULb5WBf6LpIszVunWFlz6p2gSB4gRA1NX5/io5Se2h+A0DnRE1GNLNOcLtIaRA679HxSXCSLcFaXzKuxiLLJER9hJr85CGpzsTIuVII1T0sidx+YlcxNww9HxqJVSJ4xfvsyxMUSVD3u3HiSY3Wnz8UoJjNZh1ELAuCIJwAUxMNXLRzEvOLHRhjsffRY5iaaGLLzAg2TTU3enqC8Oxg6ILnvGpCZR+dOUFIQjlvwGYtWN3wTUjIhwwn2kLUtCIQYX3EuWANQsoo5Kh2slKAzQBV9p9PMk9uuYAXvl4MVpPcsnpsOsJtBaFMnEJoKU0iNBybJ/qZeMxQdzqPojqxNDCRats+el7ES65sjPSSGE6apgChgkW1ekaSHNnH2sHtF8ZEfcwj7vT8grfvVkhsKZTUOAQilgVBEE6AqYkmRls1zC20se+Hc3jk8Tlsnm6h0chELAvCGeEEhHI/gUeQNzZvAXkLNmvC1sZhahOwtQk4f7IBbNcl+IUSZRms0lBeGFOyn7JdJpYNlI4VKyzVWoaB0i7Sm7TLrp4btZimHw2/T8nqILsItSJvsUUck4Qm1TUOkWayIZSpGKW6z8HC4b3IOoPyYtkd27C5KaB0CY9JsmBis6AIM2KkmUelQ/Sdnhe66WBimTdvof10xs4TlUg6HTtHf8+1u85KaygRy4IgCKeeWq5RyzWsBSYnGpieaCLPNOYW2nh8/wJGR2oYG6mjVhNLhiBsHFV7QkUoA05M5S3Y+jiQj8LWRmHzUfc4H4EyJawtkJSmo+go78LnI7UWuSsPB0BZ45L/eKUIPy/LxawBW58mujknA0toC8f0ApGSDKGgeAk5+qGkOFu6LnvJuftoM52bUayUWxY795GQtRY9NopQQg9R1MfC0ggRZKp1TCJas5uAUB+ZnWOoDsKao/B5h2YjvBpJhjSqjnjt+0bwyTozHCKWBUEQngb1muv612zkmF/sYG6+jUOHl3H+9nGcv12jVhvOCycIwqlmUDJfBV2DzUdg65NBINtsxFkwoEOvDGvgfMsUTS47UKbjosqm646neUOT0gliJscssxgoZZxINcppPh91tqG6BXy0unDttkM1jTKWfKtU0bBBQANRqGovlDu+Cgedt4uoq7wBa22Yc6y5zMSytbBUko5V9bBUZznYRbSPOCtXOo/7nLlYhoLVrKMhnW9SH7oOa8naUlZsI9wCwqtfVG+I+I1Fj1kaziZi3XUbAhHLgiAIT4NaTWPzdAubp1t49Il5HHxqCT/cP49mI8PMVBOtRt63DJ0gCGea/q9Bq11kGbVxmHzUC+UGrKrBWuVrJgPKR4itzaCthVKuvJqyJVwyn6tf7HzOrL4x+YB5W2tlvUA1ofQyVM3ty5pvWKOgSoPYGRAIVRyCHSFP9kmiudQyuvTz4PWErS9Pp2u+KhsXw0ws64ar3GG6CE1IqoI0+KF1iEwrpd0NQN/rrtxNinbyU/kIu7UGKtRfdhFnCxPK9UUxzJ9A+qfyLQJF6E0nJjT2PPn+n0H1miuIWBYEQThJxkdr2Ll9HK1mjlqe4Yf7F3B8vo1N0y3MTLWGz0USBGENqqJoEN7jCzVgWxPEpVU5rKqhtDlKU0NRaHQLg27ZRa2mUKsp5L60mqJoc5ZD62YQelzgBfGWeIfdbwXrY81uPjbr8TX4yLMToVZlgG3ARblZTWXjIq3RekHnyIQjCc+8BPKRtK2z0lA6j4I2o+39ruRZptJ3VBqur2CNnnClfBm9AetjAl8BVXTD+QImfYZs6W8k2I1Hcp7DYH1iYGUfXlt5SKEMiFgWBEE4aVyL7Aybplt44sACHt+/gEYjg1IKmyabLjIlCMJJULVWDCgTRuuTdsfVcQCgDN5YJ5Zr6JY5VrsaK6slVldKtEZyjIzUYOsaSlkoZMh0Dq2a7mt8GG8VIDFMVggSzCWsdeXnlO06S4VPaLPeG2xVFhIFYQooRT7g3EWpAReJpegtH9uU3tNMvmiKEDMRyFtE0+WxBtYWriweVPRWs+TCMEfk6XXvEcPRPmGh/FMTvdyKJfUFUwrZV3j5O+2TBqFYkmKlA2G/57nf/4HqPomFg45DWwz33ixi2dNe7eD44XkcP7yAsuj1sIyMNTG1eQJTmyc2YHaCIBCPPKFRN9n6Gw7B1JjF5LjFSHPAm/GQ1GsZ6rUMzUaOuYU26vUMxlgsLnVw8PASRlo1tJo56rVTM29BeDZgGzOwra3ucd/KFnERzx9zSW86rLfWwhgLU1p02x0szi1i6fgSyvw4TKsO0yxRYAQFRmDzBrJaHbrucg60dgl0mQZ05vy4WitopZxQVc6DrGwBBecL9jOLgk91YW0NSpNlw0eKfVUNAM6CoOnsWJSXyr3pPElIc41PSu8djsmHyjKP86Drakuoss3lM5LEOZofJSUqW9kmTM6vizcy7l9/40CxdJ+EGMV46aqJ0BOkwI4ZJonYvc/yA4Yp9//mwMafIKZTv7OlcU0WS+6tg4hlz+LcMr73rb349te+j5Wlds/68y/ehhe8+EdELAvCBvNf99Ww96FTkzz3/EtK/Oju4qTFMqEzhZnpFrRSWFzuYGW1wAMPHcG2LaPYPjuG+qSIZUEYFjNxEcrp57o/LGLlBQAuAgkYL4RdENK6ZQCsVTDGoizdT7cs0S1KzB2dw74HVvDoA3NY6czD6KdgsiaQtQDdwtTWGey4ZAd2XLIdmVZQWqE0FvWaRq2eucZ12kIpFQotaKWgVQ4dmonQhH3EVdddNNfbP1Twyhoo03XRaaXg/BCKtdBmY5muH5p5cgFQvWdqmDJMtFRBw+rcz6P0Itv6btRMKLOEw/BbmT5avNeeQTctbqZxvk48NwFdD0mQvTYNE6Pq4XzomvFEPm456Tl6vA6VOs5B62vlqp8MgYhlz+LcMr53z0P417/+T8wdXexZf4UXyi+47kc2YHaCIBD/dV8NI+rUiOWi7OC8WYPzZof3rq1FphVmplqYmWri4FPL+N5Dh/HAniMoSoOJ8QamJ6UOsyAMSzl2Ecqpy5JlXBdZCxReDBuT/pTGoiwNul2LAgartoPVbhdPHqvjW999HN+6fQ4Lx+dRlF0YU6JWa6KWN7HreRfihaXGzI4tvrKDswjbZg6lFQxFlbX1vxW01sgz9xhAf2dAqHJBNYm7UGXbV9PwO1FFjEoSnTIdXx2DeZ5ZJQwX3GXVKdYRyy6qm8NqQBkF12HQuEg30ghzauGwvcK0Z769x4ol99zNgqXScbydNbtSwdoC1krc0g0BLdNs2XrBjnQfF+2H86vnI+vs6xCx7BmdaOHSKy7CTy+uYGVxtWf9zt07cP7FWzdgZoIgcK770S62jnXW33AIpsYtHnxU44mnhhff51+8FTsv2YZNmxowC0/ALjyRZJor//Vgq5Vj+5YxGGOxbcsoRprDfd0nCIJDmVWociVdBoSkPCgN7SOQ2usgYwFjFDILFKXzGmttUBYWRWExPj2G51yxC81Wjs7KMqzpAKaD3LSRmza2bK/jwgsWsa3xQ+RZhprNUCs0am33WGvto8rKWTD8sZ01A6lLoB+2dMLXlKE8nFvu7AgK1D6bB6nLKAp5FzxK8LPWlV4L21eOHoKwlglUarhCv62rjkHd+nrKsPURpMEKMSjpz6/n3QLDmfUbm0eKTTxEZfzBtwJ2oG5WYa5xXgoKavXwwNE4IpY9Y5OjeP7/eg627dyMotvrWR6baGHT1qkNmJkgCJyXvLDApdu66284BHsey/D9fTkOHhk+Ae+65gUYf8FV2LxzHHjy6zDLh2HLXvHeaubYvnUMkxMNtJo5RloilgXhRNDlKnSx1LPcZC1SqM5LTN/Saye8SqthrPMZ59qgyBRMYVAUGSZnxjB61cXY/fzzoGwHGbrQdgXZykFkK4fQrJUYm1zCeOMx3zhPQReAthq68Mlh2tkUSGw60ayGqnqjeBJekgxISXTun2SokHzHag/HjcOjqt+598KxxDnalkSkr5ARy9GBiVzVX6GG+VeXV6PPVW9xn/VUFq8axebl5LRvuU3XINSaVugR3NX5BAHOI+EWalnE8gnRbNWxY9csduya3eipCIKwBpdeWOKKC4v1NxyCuUWFBx7OcHRu+G57x9uTmMf5mNfTWFl5CCuH6zAr/utQpVBvNlBv1lFv1DA6lmG6nqGzvIj28jzaC6uo1zPU6xm0VMgQhDVR5SpUuUx/gRLMVBCPZdRwyiXbwQLaWhhoZEqh1AqZVihLjbLM0WhkGB2dwOhojlpWIFcd5OUi9IKFWlyF6swDdhWwy4iRTsDl7nH7g2LCsyrQBohCWpZU9VBsWerJDtso1p3OlDEanVwXrmdZXNpWxSfviGfj+YRycXkyUtXv23sulXMaRBgHSEW26iOW6bqzahhVsWzK2LUvWDoqXuUwTfJmm8S+AmuA7vza8/aIWBYE4VnL+VsNXvyCLi7ZOVwXJwDYtHURK3NH8b3/a3DwO6s48J0M3SVn48jyHLM7t2J25zZs3j6FzZvG0Jwdw/xD38aBx+7H6tFjmN08iq2bR6QyhiCsB7dhqAxW111immlDle2wPFSV8GJa01fs0FA6g1YaraZGpmuw1qJRhxPKWEVWLkMVC0C5AlV2gKQTnkZiIUgilKT6+kVReR1f7iXm21To8f2qdFnSNKRfLWP09w+rihBXmT+X2KY7bQtN4pXOmY8xiKoIZpFoLqa5C2KgDYPN19r0hqLahTAkKJZx92oZvHAo9lyGmwWpsywIgrAu58+W2LrJoE+1yIEcUIvYf/wofviwwYP3tPHgNzOsLDixXG/Wsbu9HZdOXIZLzt+J5qbNmL1oMxYeb+PRw9/B3KNHoZTCzFRTxLIgrIMTxU4suw53ziKgyhWoYtmJJF2P67zf1n/BDk0CW9WQZRr1uotAZqqLTBXO5lEuQXedWHa1jstUNCr/OrUGrlsfiblE+fFZMzHrTdR+cerVrezTs4gioNpFkqltc4+ortgPKEocVls3b2t8h70+EepQJo4LZh417jPlME8SymyfYO2o7J/Ua0bv8jBnJuRJ5Ib5qhhRNiSU6eZFwXdYqdyQ0HnZeNNxAg1JABHLgiA8i6nXgHptna8PK7SLY+gUD6OTjaI7fRD5RW10lt2HTt7MsfPiUezYNYuxmS1YLVt4/IDBo/tzPLJ/FEtHZrHtORfDzF4MPdFyA9oSdukQ7PIhoLu8xpEF4VmGKfX6hNQAACAASURBVEM00XWrWwUKL6K9gHSW4RJK12BRcw08fFzZRSMBpQ1gFVwhMwNtu9CmC1UsQXWXgGIpVqWoRm25UqyWUktEGI+KmnTXE7FcJbWBvdBdW63G8YO9gG1PwtOUCFYVIM6Rl4mrznPQvKte5UHT4+c/7D5Dwa0hVJya30T0EcPJdVXMujEcIpYFQRBOgDF9BDovMDFew3mXLOD5M8uhkZGu55h4bh2Tz90EMzKO+eMreOj7C9i7t4tHHp9Ad/Ei/EjjamDn1ch9zXZbtmEO3AtzYAVWxLIgBJQtfZMNwBqX3KZ0N7EVuC50XVDbaVdcLWPC1gCmC00i15ZQtgttu04kF4tQ3WUXVQ5RWbIpMMtFEGYm2hIUF10UDa2UQutJblvzjBHrG/txuOjrW6JNxXkEIc++KiOhbAv4Qsos8stEdvBhWxYFHzRN68eq2ivIa1yNpg+xz1BULSYUDddsfeWGJSznVhPqhCg2DEEQhNPCiJ7HiJ7H5hzAKIDz2MpaDdmFBtn5wLFOF3P7j+PwDw/j2OElLC41ALsNZvRSqK3XQG+bBgDY7gpW545ipfMDlEsZ8lqOLM+R5Rp5pqG1ddU2ys4Jf3UoCM9oglhUXjSXgGkjtmJWoTqECy6SMDOwyACrg7RSlODlxbIyXaBLkeXl6IcNtYW58FK9gtJtjCg+4cV4VWCfSFQZUdBZhPn2eHCr/uekJrJJ3yf6tY228J5f7lfm3fPYXPoRfMz0dz/B68UxjTPUPmss517wMAkgjRijzzVgdhC+j0W63zqIWBYEQThVmAJ2bh/Kx/8LtWIUm5YXYetLGNtxEOeVx6DyFp5zQYlmI34gFCWw78kMD95bw+rxSczs2ILNOzZjemwM0zMjGG0WsMcfhjn2MFCsrHFwQTgH4dUObAGUha8HjNgeOfiKS8B0ALJhhOS/3ItkZ+twdY4LKNMBilWgu+LEsimAUE6NIrUsWhpKtjErAxfOOo+e2B74sn52B2ahsEXcPrGFrCHAq4KYC8MsB5D32kd4pY2Q/FYR1WuR7MP+7plbn0h7dZ9wY1Q9b/YcUNQ/JPspNkZF8Icx2Jz6BRt6bDf9EbEsCIJwqjAFzNyjUEtPIbcaM90SE7US5+3ooLupAzWSY3xniUY9FcuPPKFx1701LM5N4hKzC5ds2o0Lm5sxum0GExNtlEpDLTwJK2JZeFbhBJCLIpdQxlkqwlqds9bMCqGjG4kulcPqBqA1E8rdKJhLL5aLZSYSveiiLifwiXWJZYDEJI9eZl7MlX0Es11HUDKhx6s70Dr+kJc+A5jINJU5+nVUck3niNU8+HHZT7U94iC1nJSBq0bZuTglHzedxhr72II9b5RwyEvHZf458UKZkv0S60rPRNl1rUTcQzRdxLIgCMKZxRqgswjbWYQG0ADQ0ABa7ke1VqGxH+roAzBL3rO80kGz+ySmR5ZRz2qY3LwJo1svBEYnMF+MwSwuwazMouxegHo2g9ZIDc1mBrt6FHblmESbhXMYVhs3gTzCpS/EoFJhRttwXWqtjyi7NtMo204omy4TkZaJuaqw5OKxIggpyS9ERdmmwOBlPedUOW4/YT1QxCokvmA+ZqivXB3bIlTBIFsCLebDDJo73ydd2DO1Nfex/a4bOwdrkZavY9aLRJyT2FYAMraOXVvu2a7uvwYilgVBEM4QtrsMc3QP0FkCsgYAQBUFLmwcQHb5MRT1LZh+3iimLpvFatvi6JEl7F9cgF2cgF1+HqYmM2zbMoHRzQ2YQ9+BeerbEm0Wzl28NUIxFaV0jBQG6RQEq1/F7RcqTfZTZQfoLrmfou2rRFAU0x9GMUsAF2+JMOYWAITx030IlfzqoWqhGJQUmMyND++Fn7VwCYbVsX1EPrFhkFc583qZJcn1O3zP3PvZStY497X2CX9rJor5jQO3aJAPutI8JdzssHPj1o6kbB0dazihDIhYFgRBOHMUK7DH9qI8tjcsUgDOr1uc9yOA3jSD/OIG8oun8MjDc9j/2DwOPLkAYBxQl6Fbn8TEzBbg/BHYbgfm+KOwOAKlfKvdkJW/ZghLEJ4ZhCoOsUOmq6MLAK46hvWPQzKZF0HW1112wpl8saUTjcUK0Jl34wNMKJLlYtDrhywFfdQk1TMeyFrCjAngNZMC+8wtRFG5x5oJUEoSNGW6j8p8kh8Qq2QMGWnlPu6wj782PTYPpBYPvg9fBiBWFuljZbH+JoB3HEyuC/8Wwls2TMEEM5vTQNvGYEQsC4IgbCDGWBw9vopjc6vQRx7FjLkHM7AYObyKbcUCRkYU1MRO6ImdqLVGsLjQxkM/WIE53IJZeA4aegsmp1uYnGoCS0/Czv8QdvnwRp+WIJwCrBd53crX7U4Q+lhzFGSIws1ZLgyAAjAZlOk4P7NSzr+bNdy4psvEVDWyySEfM/qsWw8V54eqeKNNho9y9o6JGEHmEdjQ5S5zEWd+rCA6+3ig16USQe5bKq+6vt8+fSL3fRMb/flRIKDfpeKRcWvccx8i9pVrReIaQOoPH4yIZUEQhA3EGIsjx1fw8GPHkdVWAQCT6jBGugbbul1sHp1Ctm0S+rxJzC3XcejgAo4cXAA6Tdj2bkyOa2TT05jetQk4dA9Md1nEsnCO4EWNscw24CKoNkRiyRKhYstrSvQDgkhSvNObzoG84ccnUR3H7v12hovLPvWP14O3YOZl6fj4dL7DlprrGZNbFayPHHuJR55ffrikAgbidkPBI77Mb9zjRfb/VG8wkvbWbFmS4FcRt8k41XnScTOEsnHcyhFupNj6MMZwz6OIZUEQhA0kfJ5Yi87qEuYPPY5D6jhGmjU0GxnqjVno/ACy2gGUNsOxpWMoj89B1SegRraiHJ/Acn0cx+0EYPajLLdD2Xk0mjXUGzmyzH3gWGuBzjxse8ElNwnCM4HQ+ljHNscAYkTVRgFLdoy4s6ugQULSGv/VPG/aYdnX98OIxWrmWzLZ3m1Vv+3WGrtKVUCrKHah43SqSYmK7duvMx8vV8frHw+k3wbDnlf1xoALXrJvVCp6VL3h1YS8NZunkPBWvfs9TUQsC4IgbCCZVtg03QTUNBaXOlhtF/j+Q0cwu3kU22dHURtZgT26B2XZQWNFYcvqChrNEnrmMujNszD1cXTaJR5+8DDMfAY7fyFqdgKzE+PYvHUMWcO9zVtTwB55AObw92CXRSwLzxBCYw7mPQ4RZMBZNVw5OUX/6hxW5V4vep8y1VE2XaDsunrMvNEP9xz3RFhJiPZJFku+2q9Goyn6S2Pyn3VPPO4XRCEfU/XRiWyZ8T7lEPHlNhbyLKve/dadFglwmlNlzv0uXXIMJnbpmiWJkfS3iduG82aS1ZYINws03qDnJ/ijqx51QErHCYIgPAPQWmFmqoXpySaeOrKM7+89ih/sPYJO12BirI6piRWYYw8Bxx9BwwJbrMXmRgPZlllkFzVxvBzHw3sO45E9h1F2c1h7IUZHLkF9YhYzF2xBNlYHANiijRKAmn9cbBrCMweKBmsLWC9ZVIbgLyYhnHy13gLyGqy1zn5Rdty3KWWnIpx5TWPj7B5ARQSzeSTwr/YH+ZBZQ5VqZ72hzp0LayaUq8ltPfMi+4rvSphE5MHsG0zMn0hiX18BbtPfVfg+8eu0eDOUUH0utBPK5MFOnrdovUn/D1SeH7ominUuBCrXcjAilgVBEDYYrRU0FEZaNczOjKDbLTG7eQTNZg734VAAKBIXn156DOrQPaiXk5hamsd2zMGOz0KNbUdzegsmN08ib7R89y5AKQ09tQvYcS3Q2gS7eAB2cX+fDypBOEsIvmMn9iwslClh3W1f3I63oiZBaS0ULFxiXu6jz4YJ5arA7vdVfeVr/zRDzf9UO+dVksl6Ouv1Gbufr5ePE4Qm60hnq8euWC404rbcnwwwG4YXrkPZMNi+4RL02YmL4XAe6N2Hl7sLc2dd+5Lf8Odaec5pm77XQMX9+u5jTsiaIWJZEAThLKHVzLFj6xgmxxtoNXOMtWr9NzQF7NyjMJ1F5LaOmaUOWrUO1MyVyLafj3zLZoyM1JHXeDQpg5q4ALo2BjW6FWb/N1EuHwRKEcvCWYo1PkCYgzys1hSIIlEBuuZ+vGC2lNBHIkppQNcB1Yne2FBKjYmxJArMxFQQWH1KMpJg5faDfol3/ewJXABbg576yEkt4H52CX8e1UoU4abBR97DWJWDJ0JdIUkAHEiiegev581RErtG1bvMhD+/4QljsBsCuulIkvWYUE7qKNM4zLscPNpcXA9fPk7EsiAIwllCvZahPplherKJbmHQ7ZZYXOqgVstQr2lfZxaANbDLT8EuP4UMwBiAsQzQza3IxuegJ1ahchWz4QFAaaiRLVAjW1DoOjrHD6Jt9yLLCtRqGpmGqwPdXZFos3CWwKtUwGutMn7lTjV1Abjayk5wqepX8okwZCIsoOKPUujfblr1WcZ9yqryQ5v0s16wYyXWhMo21bJucVB2Hvz49JCPD6BHpPYbr8/ivtNmc+1XMq4nsoygW8M+1Xkl9wPhuzPEhL9KK++kTrOpPAeV8wq/6WaI/NB03sOF1EUsC4IgnIXMzbdx6MgSVtslZmdGMLt5BPXa2v46u7gfZv83YVePQk/vht70HKA22rNdx4zgSLEThztXYmKihpktoxhvlTDHHoI99hDQWTxdpyUIwxMabVBiFosqau89tdb5kY2G0uRlZhYIntgHuFrJyJjQAmL0l4ko+t2zrGIX6IloAj3iruecuJWiwPqizUeUQ4SV7CmV5EHe0IMLbV7xg3uHaew1qcyNC9O+NZWr16u6D9g8STjncd8QZWbR4J7j2PjNgOVzYc97OLeqLUNVrpuUjhMEQXjGMrewin2Pz2FhsQOlgE1TzeHE8upRqPkfAlBQE+dD9RPLdgRHyp14pKOxozmJsa0zmJx2YsIuPA4rYlk4GwiihiK9viKG1lA+MctSdQulAJMFIa1UBtgS1rSBohOT3VTmvuLXNC6vm1yJeCZiqhLVhPb7e6uBYpHLnqhvclLpTYApK2Ku/y6JdzoIX3o/MOxc+I6xNXgUkBnTjUPYECx7kPiN2W+aVz/RX90Hys2Td0/UGUvaswBypNHxivDmlS/CmMqNQw1JYPxznaXXNzx39PyIWBYEQXjG0qjnmBxvoJZrjLRq0HqND1OibMOWbQAa9thDMI1JqOakW6c0VGsz1MgWZPUaRqamsek8hbHZMdQmp6BGC6jp50C352BXj/sBDezyYVc9o7t0uk5VENYm+eqevuZn0UOdI9oW6Ov5AigLXwljNY3KJi2tyTfMxG3Sba+f4PXbhu24kLVxfYC8xlX7Bo9G94PEr0LwAIf50TxIBFaT4xRSoW8r+wx6P+ljyUjmzjcdIhq+1vpkHD5HSuZTfZ4L/sOi2+F59zcv1f3XunkZAhHLgiAIZyGTEw3sUpMoCoPxsQbyfPhkFFuswBzbA9uZh8oabqGuQW+9EnrrC9FobMaWrWNojdQwMlrH6GgdKs+hNz0HqjEOW/g6zKaAOXgfzMH7YUUsCxsOeVWN7+CnAJUDWQ1JzV1TwJZdJ5QLqqfMIp+WlR7r24a66m/tZynwFTl6vtIfJDaZkA+Rci/0+1XM4MexFbFdTW5LGoz4f/iYw3bmOyFBWY0gs2UDI+VsnxBdJzsMiXh6jgoET3q4bn3qKPdcf3bTBPbc9pTuU+l1WwcRy4IgCGch46N1jI/WnSXTGBhj0bUGmVbrR5nLNuzcY7Bzj8VlWQPIW1Dj56M+NYZNE8Cmibr7sNYa0DWoiQugJi5g43Rd0t/CE0BnISy25AE1kggobAChUYkXm5qJZWsAUC3lrm9C4n3BQCqWQxc8H4W1iDYL3tEv0YU8Kkxii0TpoK/0aTwFgErWkagjsVYOOE78M7bcJgsIRZ6192LzSDWdZz/lvsb7Bxe9wBqWC/QZu3qoQfuoqGH7iVh+LVX1+lYi9km0niV98oh9Yt3gc8vSOa6BiGVBEISzmG63xJHjKzh8bAWtRo6ZadfA5ISxJez8ozBP/DfM0R+ExXpiJ9TkLqjRrb37KA01eQH0+T8GbLo0LDYLP4Q9vg926eDTOSVBGI7Ea0seX/+YxJApAbuSCk9eFo48sbZ0XlbL1vHSYkknP3rMPMA8MS/BpPtwkmQ+Xp2DvMY2eql7dGc1MY1fF6oIwiLBBiHq7hwYVf8yorYM+rKP2A2RaT8pCwysw1ytfFEVngPrMLOyd/26IYauhWDPC7Pd9CTzDYiIJ1FrEt9V64x4lgVBEJ7xdAqDQ4eX8dCjxzA10USe66cvluceQ7lyFMjqcfn2a6DrY/3FstZQExcga864r7LpA2n/t2A6iyKWhdOL4VYCINgceHIbNRchURyirjZGiHUWk764OEoqYgBpJLlkQpD8r7zSBot2Dmo6Uk3ms5R0xhIXk8oNfPdq5BksOsqTEum6MOwgj27VA8zPu2r1sEgEc+KPBtue1jOPcGL/qOwDuHknda5pX7qJ8NaTcM70DZZNr0uSFNjnGtLz3dM0Jovz6HsX0IuIZUEQhLMYpYAs16jXMtRyjWyYRL9+WAvbWUjsFABgWpuAkS2ArkM1p6CaU/5rbQBQUPVxoD4OFKuw7eOwq8ehsgbU+HnQZRd29Ths+5izbAjCKWUtDywXeP7vqm842Cp4VJhZKBLLAUsWs0BqtagKV27pqIpSJjr7NQOpnltybLaeLCI9wpYfg/ttq+J30HzYuQdBrNBzeXvm24e++1ZtEpV1PEkvSdzk+/rrPchDXU304+XmuI0jeX7WiNQPgYhlQRCEs5h6rjE7M4J6rtFoZJgYb5zS8e3iAZj93wRWDkNvvhzY8nyoRm/nQNtZgDn8AMxT34XKW866MbkL9qnvwjz1XZdQJQinmqR+MeP/Z+/NYi1LznLBL2KtPe999pnyZJ4cazA2tqHssimDL23fawbbQhYSYMxF3ULyA4+WJR4Q0A9ILTUgMM07T7ygvjJCqBEtuH3hXgx9TVMeCuNLVdk1ZGVWZuV45nEPK6IfVvyx/ogVa5+dlSfzDBmfdPLsvVbMK/c+3/rWF/9vfb8JhKwxnsiVUPaYv2iQtcke07M02TZ7HCfK3CJgFeoAmXMIKT9PGxC5UipQZCek9yj64n3qgI1AsnNVdgKBQs3myrgAio2DzsJ6Y6lCiBRzwu7XV8U4rdrLm6PrANgNlvz68G6FZuvPrmdos6Ut48XfBh6IPEeyHBEREXGMUasleVKShfYjaV9v38p/Nq4BSQPJ3DNAo8dKmD8mhixnb/0tkuWPITn7PMTsFWTZEFh7ExhwxXq6R5sREZMRIKsAsy8ICJkCSQMCGlplyKNUgKmKoWYZGfNDyDkb9QJWCBxATjkxs9YL8+hfiMI2AuREWXo0zAl/x0ghtQPWFpVTGSpVWBqP30+IDNs1M+eqNr/xzXo27jSp+XTM9EFQgGu/0O557h+n9XKUaF4udANEGx/5zQydZm2SbUNrOJaYAxDJckRERMQJwfbOEOubA2ztDDE308Rsv4Fm45C+xsf7UGtvANe/BtGYyY8JCdG7CNG7CNR7kIvvB3QGOfs0RHsBSJqQs88Alz8JPdjM62iVJzbZugk92DicsUU8oTAEKshLcwKktYJQQ2hSWFVWRMFQ48LXypNgAB4h9hRHAM4mPJ7++kAvMNXhVgEURLCkVPuptSnGsNeXk41vzEiqIaoO+ffHN+HGwUcogkUJni2El+NWliDJNSTZWr04QWcZBoPJXdj6AnCjmYAp1nSeqfCAp+gHrvkERLIcERERcUKwvTvC27c2cevuDp6+1EezmRwaWdbjfWDtdai9+8UfMlmDvPCjSOo9iPYZyMX3Q3SXIepdiMYskDaBuWchWwtFOmE1hnrnn5ENt4FIliMeGrqIGEEQSREqTSvojCIrGEWRsvqpcU4slUeS/Ef43OcKMDKry2QqREatJ5gr04xQasDGAHY2mIXaD62B17am2MsULi5gKym1eQBZFv4LPaEKt0UQMaVxsv5KhNr8iMQo3dpsvMzKNgqr3nNLDOubjklDmEMRQsDb5NfcP3YwIlmOiIiIOCFQSmM8VhgMxtjeGWF9cwAhBBr1BI16Om3I0IrGR9C796B37xXHZA2iNQ/VOQspU6DehWyfzWMvExmudyBnn84TQYy2gcEmRGsBonc+Jy3D7TyhyZQKTkSERaWVQrOn+JqRK6MgqzFsLGUbLo4pkNPAWiHAxhBQlOk3t0WUlFxO8BIUjDJAlnn0CI0JY+a2BUrcQRVFgPx6Y/FV2oP6qoRfx7Jlrx5dJxTXrbItb12ccZGS7qv5cJXr4Fx86weishwRERFx2tDt1HFxeQaddg2jscLN21tY29jH2cUOzp3pQDwUWw5AK+jN61A3vg69cwdy4QchFt4HvXMbauVV6L1VyIUfBBbeBwy2oFZfhV59HUgbkIsfBHoXoVa+B736PRN6LiLiQWAUYUpnzUkYEUWZQMgEWo2AzBDkEmniocLgkqxKqwO3bYQIMGvHycw3SZEFilB1E+wcNA7H0mviJ5e8uf54/JsC5qEuNUptoxi3YGTaIdz8xiHgSaaGdKC+H0tZZ/m1csZD62esKHzsvG0/mYhzvXV5DZxr7v0/CPt7gohkOSIiIuKEoNuuodVMsbTQxvevruLajU0kUqBeS7C02IZ8l2GRKqEzqI3rwNY7kDt3INIWMPceqO1bULe+mZ8TCZL+Zei9Fai7/wp14+uQlz+J5NJHACGhs31g/Y1IliMeHIqITmIUWfPY3MbXBQRqQFLPN/hlQxRxiE0bZFXQfGMZxWNmtgUbqo2IcVaowDZ2Mwe3VLA6B0Fr2JuAEKwdwVdZjZdZJiZudAYon3BXKKpigqpOBNkhzKRu+yqsb7kI+Ju5ZYKr89w7rMwTAAHkmxwTzz6Boj6PqYziBilfg7H5YZsfnQ2WCiX7i72hebAnXZEsR0RERJwQSJPqWghgrt/E8lKuJnfbtcNXlQlms5TevQe18j0gbUEP1oHWPGR9BqK7nMdobvQgZ64AS9sQaQt6621ASIh6D8n5j1nfqc6G0Dt38oQm4/1HM+aI0wGZMNJDVgvyqqb5zRg0RDbIQxcS6SUVVoNZNLjqaUgyAFdB5Y/+eUxlTuR8QqpYuWnA6gdjAHvWAgI5CLQClGCkNKCQl8Z5kNqNMjF23rL6B20AdM4HO8rXVvpj9NugH0ZsrTKtiugamh13vObM9mGvn/f/oCosYQCRLEdEREScMCRSYH62hXotgRBAt13Hu81VMi3yOMsvQ+/eg5i5BNl/Oo+U0V6EqLWghYQ8+yGI3nmojWtQ914GdAbRv4Lkyqds6Co92IK6/S2owVa+qTAiogqyBqsKKxajN23mWSiFBLJh/v+ICLW1KXCCzVVlwI1MYR7bOx5gfsyzYIhQHYSJYwgOQfNiPFd6bcH6YHUodrNVUHk/LKmJY68IDirwNkTCHV/IAe1wouoXS+z3QZDk2415LCazswGQNjnyGxjK6uhfMyrDN//poh9EshwRERFxKiGEwEy3jpluHUppjMYKu3tjpKlEmkgkySNgzqNd6NF16M3rkEkNWHw/xMxFAMg3+8kaRO8CxMwl6MEm1N1/BbIR5NJzkGc/DIgEOhtA7N6H3rkFsXEd0GPo8QDIBoc/3oiTD3qcTrYLntBCMNWZUrH78ZBLm+g8VVQA1t/qqM7Mh+xEl6D6RSSOMpkM+JBL74X3mquiVWshCpUcgLWSELEllTXU5SRlucpy4VXP1xco7CtwbxB864Wj6ALOAJzY1RnCNxqkIgfW14bPoxsMlnBFV1xzvx3BfqZAJMsRERERJxh7+2PcW93F/dU9zPWbODPfOvQsfz7yrH/fhN5+xx4TnXOQs89A9C9DzFxGcuHjVlmGTKG3b0GtvQG99Q4ABXn+R6B37uTH1q8+0vFGnFCQmgyg8C0bcpPtGy42Zh5eItTGz8uVTasG++D2DE6miZib46U4yjzsGD/vqdBBAsy9v8yjbCNahJRR6oNluiuRPc9eMMliQP1QW5XCs6f8Oqp8qDhXb3Wxjo7iS0o/UCbK3g0Kn4PzhCBwk+FnB3RuQDxF3pnPwYhkOSIiIuIEY38wxq27O3jt6iquXJhBq5k+erK8cxtqsAHcrdtjcvEDQNpCMvsU5Mwl6PYZADrfFChSQ7C/Bb1xFXL5Y5DnX4DeuQuM9pBFshwRAj1qJ1IpDWFWo9zvrhVTFU1CkmwEq6RahRMoFEhPXbYEzH/Mz73IRMzoMb+XMY+TU23iBluSnTgc28kuJ2QRL9pGwOBjJ3uFn8qZ1G94ddnaTbJ1aF3047R5AEob/KR3jt94mCZLlgkzdpuR0B842I0IxdOmOMpsY6S97jzCBY804o3RWTfp1pkCkSxHREREnGAkiUCrmaLfa6DdqiFNp/PgPRTG+yW/sa53oVdehap1IFrzEK0FQAjovVXovdehd27nPsXWoj2ObAB0liDPfhh6bwV6bwUY7T768UecELDH6aS6hiwGgEfSiBgxUmqJMld/Qw16vlYeHq5kK/AUZzsGmZNRngaaj82quaY96zumOVdYBqhtpz+W3tufhx1zhdd4UoSM0mZBr4zzvsJGwYk/v+mw1fTkMQhaK0/59zcAUoWgSu0T54PqhBHJckRERMQJRrOR4vxSB51WDd1ODd127eBKjwB6bxXq7neg9+7nPuWlDwEygbr/CtTd70DUu5D9K8DiB6B370LdehFIGhDtJcj59+Zh5+58BzqS5QgO61HWOU9UhnQlNRTprb2wYkobSwZ/7M4tFB4J54/xS5v5fGVy0nm+QVC4dYoJmTaITFI2Pnaa4IydiGJSkGs9ye9LMMTdjoc6meSPZuVDVhKB4hgn9qV4ysKvFCDHFeOwNxp8EySLr+zf9ITWoXRNKjZtToFIliMiIiJOMJqNFM1GiqXFDpTWPxojnAAAIABJREFU0AoYZwpS5GHmHhf0/hr0/hqw+rrZ7HcRSOrQa69DvfMi5NkPQS59CGL2KWRv/Veoey9DtBch538AyYUfy7MCbl7P1WUg/1tI2ddi9r8nFERqGCmUgPUvU/zjzFgpbOIJPzGJZxcgmwVPYMG9tRZcwcxQ8imDETAidtZXHarjzc23LHBQNAvfd2w3PSqThIXHGGbj5kq4Q8aZlWJaZZmT42D5CtLpe6orPdylisVA7E1NipIP+8CYyaRMM6uLNjdWD0CUgUiWIyIiIk4NNjYHWF3fx2A4xsJsC/OzTdRqyeMdhFbQm29D3fwnoDkH1FpIrvwHIGlAbVwDtt8BdIbk/AuASKB3V5Bd/S/Qo13IxQ9AzL2naGr7FvTGtTwmc8QTCPbonAibtR7oQlnm3lPLZYnEhhRlroYa5ZFHT6jczBewXjghyXh5wOknOLcJ5JETTauQoiDHfjg1vkbWuuF7ioHJxNezjDh2h8B5O0deno1XqyL1OACX/IfGELhRkby8huNb1iHSy9eVKdP8OmlWTkz3/RjJckRERMQpwcbWANdubmBze4hnL2v0uvUjIsvXke2vQ8xchDzzQ5DLH4PeeAvq3nehd+5CLv0w5PILeYi5e9+FuvEq5Jkfhlj6YSSdc7ap7M5LUKPdSJafaEg3iAV/hG7JMo+uYMpZsszqORv3AJeEmn8syfTi/BJ4TGSHjHnjOwgCrJ+K8w4hJ8IuGNnj9hLB1GJRvKd5adbmVIqyQIlYa6BMTj2lXYBdmzHL1scIbLB/z94CsJuBCuXfV8CpLq/Dr1NRqCgnp6PBkSxHREREnBLkYpSAnPD38NFDQw82gcEmAA30LuTRCzSpcnz3evmYZsqRqLUheuchRrvAYBN6uGGiHUQ8MXAIG/fGsiQlJd8sJ3BcUeb/5wQcIhlSev0kFqHzVeRYlF54mCIJidMYL0fWAtq0yOZgj1FVXcwzaIw+CPwmRLvH+Pic+bKbGCdxSNV8PZJctWYTb0QC5L6yXGCdDkAkyxERERGnBP1eE09d0BiMMsz1m6ilj1lV9jHcglp5FXq0A9HoQ/SvQM7/APRwG+rWNwCZ5r7l/hXo4Rb0/Zeh7rxkq4taJ4/ZPHMJ6v7LwL2XobONI5xQxGOHBpxoCAKMJDNFGdojv/S66vE7Kc9+Fj3AtXr4dQCXRAeUzalI8APc0Vq7gEd8Bc2RbgZ4xI8ADoypDFY3ZLkQcPm2dvvjNgzNFGXrN06KdfejfziWEpoTKf806AMsLZXXh6nNlrAbK4saT1oMi0iWIyIiIk4J+r0GZrp57GNSmY8SerAFff8VYOV7SC7+OJKnfwhi9mlkV/8W2TvfgGifQfL0TyG59Alkb/0tsndehFr9vq2fXPx3SJ76IMTcs0A2RrZ+DRhEsvxkgRNWFIqwrypbouxbLwxxsxCMmPHy5riTOCNQh6vaQQiP+B0CbHY6wIZTs2D2EgFAU1a/Ckza2GaJpFlPp6y3/jxOs/89w73kIiniY/Osi76P2N4QCNhNeP71nIRJ18fGwaZoGjTH6TcPR7IcERERcUpABHk0VtjY3Mf65gCNeoL+TNOS6MeLQvXSO7eh7v4rxN4qoBXk2ecAWYfeX0P29j9CD7ch5t6DpHu+mE9zFmr7HYj9dQAa8tzz0NvL0NvvQG/fOoL5RDx2hBKJlDaVcbWSWSMqs+yBkSSm8IbSV/t1/GQkJYsEUCbbwYlNVoGd5mguFWUtMefKql9mQj8lz/WEOqHzoU12UhpRmPzDRq3Xxqbhb+azar6vIh9ElgPXxg9h52f5s+WnT0py6NHr//7v/x5SyuDPiy++6JR95ZVX8NnPfha9Xg8LCwv4lV/5Fdy/f/+whxQREfGYED//xwOjUYa7K7v4/tVVvHVjExtbg6MeEvT2bWS3vons5j/lZHn5Bcj590Dv3kd29b8Ag03IxQ8gefaz9kd0l6E3riO78d8BlUGe+yiS8x+D6F046uk88Xg8n3V6bE6proFyVj4673l6bUY3Rpy4+ujE72Xh4w6qY7PEUf/S+xGs/YN+plRNbUzlkBIq3DnQ/Es2hIofTvYdD3aonNcmAsd5TGSZoKCZtCZjd/6Omu3PkdkxQj98rnaN/Bsk7u02a6nGRZSOKS/BI1OWv/zlL+OFF15wjj377LP29Y0bN/DJT34Sc3Nz+N3f/V1sbW3hK1/5Cr773e/ixRdfRK12NIH1IyIiHh7x83+00BoYjjLs7I6QJhLj8dHHKdaDjdxCsbcG3T4DWetCaw2oUR5befEDkLNPQcxchh7tAKPdPOvfeA8Y5MqyaPShhYDonIPongfGu3kSk2x41NN7YvHoP+v8sTngqo4BOFEvfFLnEWoeScLZyIZwnWB4Oc977NgL/P5Y2yXRlhE8fsyxl2iUonw44+Fj8PuqUpa1M/3yunjjq1g2xw5jN/NKt35pg57XELdk+GP06wjvfWl9+fUBW0dOqkPXIYxHRpY/8YlP4Od//ucrz//O7/wO9vb28NJLL+HixYsAgI997GP46Z/+afzJn/wJfvVXf/VRDS0iIuIRI37+jxa1msTSQgdCCLQaeSrs4wKdDaDX3kQGDVGfgWgtIHnmM5CzTwONfr7Rb/W13LusM4j+ZYj+U4AeQ93+JgAB0ZpH8sxnoFe/D7X6fejde0c9rScWj/yzTmojEFBimUJsoy/wTX9MdQUKsmuTl1Cbpn0R8Ps6MZOpTU+pdIZFBNe3WZCSKsvneAg7SzK5jUQUyjrMXAlc/faJ4yTl2s/m5xNU+5bfpIjAcSrsqekhv7GNQELt8bbB1tS3evhj46H7TH17TLB6YNdHs/eMzE8ZZ/nQbRgErTW2trYwHod3Gv75n/85Pve5z9kPDwD85E/+JN773vfiq1/96qMaVkRExGNA/PwfLWqpxJmFNt73zDyuXOyj3zsKv3IFsgHU+htQ1/8Bau11iPYikmc+Dbn4QYjGLDDchlp5FdnVv4XevpVHw7j444BIoW59K69jCLY480GI5uxRz+iJxiP9rAvk5CYb5T++BYFUTB7Pl5M1AUYkbQXTthcrGYBNmlGKzMA2jFlrQuC8HwtYCLO5jRM+RtK4bcKva+0GRgGVSZGgo9QfH5ev6E5AaROcb7ug4TBiHFKwrfhPSUj4XDw1uXRDUvWkwFeTSSU2aydT2NTfEMivXWrWKfGuj7mJorHx/xtT0uBHRpa/+MUvot/vo9Vq4Sd+4ifwrW99y567efMm7t27hx/5kR8p1XvhhRfw0ksvlY5HREScHMTP/9FCCIFaKtFspFBKY2V9H2/d2MDK2h6Gw4M2Hj1iaAWM96EHm9C79/IMffdfhbr7r1C3vgG18iqgM8i5Z4D6DLC/BrVxFdAKYuYiRGsRerQLvfo9QGuIuWchL/xY8TP/Xojm3NHO8QnCI/2sVwmj1mpB5JiTMm4B8De8+Wqur6qqQFlGQJ2NYr567ZVzNrZROcnIqAdfrXZsGUxBBwLE1ls0zeZl+bh2f6zdocqKwMrx9Q1u8KP2PW81t62QIq5GearuohGEB1CxTravgHJN66Sy4gbKV7lt1A2m1E+BQ7dhNBoNfP7zn8fP/MzPYHFxEf/2b/+Gr3zlK/jEJz6Br3/96/jwhz+MW7fyXczLy8ul+svLy1hdXcVoNIq+xYiIE4b4+T9+2N4d4satTdy+t4PL52eQnp9BvX7E8ZcJeytQd/4Vausde0jUexC9C5BX/gOwuwq1cR0YbubHll/IifbWTWT3vgvRuwi58H5HXVb3X4G6/W3o/bUjmNCTg8f6WSeVkCuxpCSHyE4p5i75U33bAx3jYeQ07IYwe45DV9T3UVGu0lZAdTy12I6NbnK5JYPP1bMlUFnw906n7FcFKXWsFuaY8Nv2xu1bROgmgavO0pBVuh6+/cIhySEiHQgZSMdKnmT//w7dzJj+DoxakuPQyfLHP/5xfPzjH7fvP/e5z+Hzn/88nnvuOfzmb/4m/vqv/xp7e3sA8g+bj2azCQDY29uLfywjIk4Y4uf/+GEwzLC2McDtuzvo9xo4dww2+xH0YDPP9rf2mj0mZi4h6S1Dzv0AlHoVuPddqI23kHSXIWYuA4N1qNXvQ91/GbK1ANk9BzH7TFF/PIDYugmxfQtajfLNf1PGUo2YHo/ns+4rv8yaUArzRiAyShvhTB0n8oPJLCcAS2CrEmCUYggDTiITVMQ1tmRTFWS2yh7hxP7V+fjA6vBMeMEYzr5lQjOlWhdqrN9nVTg5PwQbn5QGHJKrWfvWNsLGJKgtQ2JtohIepYLWnCZRpTazMfjXncfHtjGeZXGNaUyOTaXiZiuAxxJn+dlnn8XP/uzP4i/+4i+gtUar1QIADAblcEb7+/sAYMuE8Ou//uvo9/vOsS984Qv4whe+cIijjnhS8NWvfrXkndvYiIkPDguH/fn/X//Tm5hpuV9dv/CjZ/ALP3rmEEd9etBt13FxuYd2K8XZxQ5ajWMeXn+4DXX/VUtGcvJ8ARAp1O1vAVrlG/ye/gyQ1PKyqwXZhhpBzFyCbM1Dr1+FXn8TergNAPjzf76HP/9ndzPg5t50GbwiDsZhf9Z/7ff+FP1e27zLSdJ//OyP4Jd/5oWc9EhZbOwD4BJrZQ854csczzK1S4SJkdCJN1i+dSNQhBN5+zpzyS4n1E45LxSdo1xXMHMefUMEynM7RqhOqT0+10AR3paAS7ydOaoiS56QQELJSSZEyvBtInZOzJJSSXJF7md2DuVt/J//+SX8p//8L86cN7b3Ktpx8di+NS9duoThcIidnR37SIYe0XDcunULCwsLE1Wl3//938fzzz//yMYa8WQhdKP10ksv4cd//MePaESnD4f5+f/f/+Mz+NCV7iMb62lDt11D7VwPZxc7qNcTNGrHxIJRAT3cBlZeRbb5NuTSD0Ge/QhE7zzU7W9D3fomRGMG8txHIJc+BHX7W8hufxt684atLxffD3nuo5DdZSj5j8h27gCGLIduqr5zbRuf+t/+5bHO8TTjMD/r/8dv/M/4yAefBiByQjweAtkgJ8hSIn+UnxkPLLdEcCuDzMtq75gtR4qyR/CqyLJDYA+Kl8yJKanWRD4FbBY8zQgg3/znWEFIfQ1ZJhhpDUa2MP2WiDIfYwVCbXILhCXKjFRbX7DOPcrZMH+f1ABZc8sGnw7o4pe1iZAiTAp2hX2CiLiQpev4y595Hr/8meeL+QiBb79yEy/8L384eQ3wGMnym2++iVarhW63i263izNnzuAb3/hGqdyLL76ID3/4w49rWBEREY8B8fN/dEhTiTR9ZHu5Dx9qZGMy6/Yi9Mx9iHoXgIao94C0BWQj6P01aJVB1NpArQ29vwq9twbdnIPevQfR6AH1LuTce6Brnbx89DE/chz6Z53sEr6aGPTmwi3DN+kVIRsqyvH69MOIbXlghfWgZBcJtVt1yPfncpIsPB5Z1f40VgJGqLWoWLKAVaOkLAfsD9YnzJVhtrHOj7DBrRQlFbnCHuJcf2LRE9Tl4DWHO5+QnaMCh/4Neu9eOd7ld77zHfzlX/4lPv3pT9tjv/ALv4C/+qu/wo0bhSLwd3/3d3jttdfwi7/4i4c9rIiIiMeA+PmPOEzondtQt76F7MbX8wx+yx/Nye/+KrI3/x9gsAG58IOQl/4niP7TQFKD3rkDdfvbyN7+fwE1zutc+NGY9e+Q8dg+63xjmIAJGSZgN5NpFGqvk5mP2xiAYDa+UAY/P+qEH07O9pOhSNssvDJVPwkKAswIdqgs904H+ZwoVN0q77FdwxCp98ip345DlEVFO8jXIRvk6jFt7tPKRL0Y53NJGsYaoYvseTyLnuJrTmuQsvUymf94CMHQRkmYdSXyXkqr7V1T2hg4BQ5dWf6lX/oltNttfPzjH8fS0hJefvll/PEf/zG63S5+7/d+z5b7rd/6LfzZn/0ZPvWpT+HLX/4ytra28Ad/8Ad47rnn8MUvfvGwhxUREfEYED//xxvaU+MO+ht71NA7d6F37kJsvJXHYl76EPTeKtTVN5Bd+2/5sQs/Bpm2gcEm9Or3offu58ryRh/J06bO/hr03ipw/xU4albEu8bj+ayb62SjXog8koITyxfFI3d4RNlXbe1GvowRLo8ol1RIb0Od7ScUo3hai5Mu1F3fZsEJOcDsEh5sXRzwX5kIN90YUOWKonyDnfMF4bVDUMYew20Rlqwaj7Kss5ueij0CmpF4slLwa2K96cLcMKVMNOZPHDQgVN5eEIJdT+2FsavGoZPln/u5n8Of/umf4o/+6I+wubmJpaUlfP7zn8dv//Zv45lnih3LFy9exNe+9jX82q/9Gn7jN34DjUYDn/vc5/CHf/iHcRd8RMQJRfz8H18opbG2sY+1jXxj1Vy/ibl+E1Iec8YMQGcDqLU3gfQfgaRuMvh9GqIxA3X/FQghgbQBefmT0FvvQG+9DT3chlp/E3j7H4CkCdGcR/LsZ6A3b0Bvvh0tGQ+Jx/JZdzyn/qN7VobbMUoJQypujPwywVTWdN73x1YQ48owZL56zccvijJ8njY+sBcCDUWxgtjCJbAhgu2oyf64dbmcmHSeHedqvDQ3Fpx/6gxQw/B14Io7jzGdhdbb37TIx0SRQwTrJ2TRMeOx12n6G+ZDJ8tf+tKX8KUvfWmqsh/4wAfwN3/zN4c9hIiIiCNC/PwfX2itsbq+jzevrwMAnrk8i9mZBipVpuOEbAi9/iayvRXI/lP5Jr6L/w7q/svQ91+ByoaQi+9HcvnfQ628CpUNoPdWTJ1VyP4VU+fjUDf/CdlwC4hk+aHwWD7rPDycBgpFV7s/llCSUoz8PQ8nZiHg2BzIX0vkk6ubCKnNoQgVNIaqTYFErBkh5PaKYBITpqhby4Cn9NpDAo7K6onjJTuFA5/Eeoqy9oino+YysmytGYnd+2jJdJaxdj21X6Zm0x+L02xDzElzPoGz3gLFOvFYznYDIH9y4E9XsXVNwksSwDGPIRQRERERcRjQyAlzpvI/Mkrrk2NEUGPovRVgbwVaptD9y5CyBgEBTd5HCEDWIBp9iO4yxHALGGzlKrKQ0DOXIZM6RHMOsncBKhsBwy1A7Bz17CKqwEkZ31BHJLqUxY0IGdXhHmRhi5Q6sedD9oNpB+qPxTsfbHJCeUd91qyNSfYCXd3kROuF+V3yPx/wDWGvD12PLFfK+Q0N3Yxw9ddRw5kfWrFYzHSDw69xaWy+akz/8En5Y/ZutKZEJMsRERERTwCkEJifbeJZ5NnuFmabkMfdtByA3luFuvtd6MEGRNqGWHw/BAQw3oO6/rXcpmFiM6uVV4H7r0Dvr0Hd+y4w3ATSFsTCDyLpXczPy/JGtYhjAqu2+govUzRDURSsoszqCFYmlL65dD5jY/DAz9N4DiReVEYYpVQX5K7kiyaFmxRlFOo5V8Yd1di8Zr8sggprQDEuWS98KwMn49566yxXkNXIq8NUXxvWjXuex3kd/hRBCEDUTROaJTKZMA+ubvM5l5KxAFalLvnaqxHJckRERMQTACkF5mdbmJ1p2vcnwa/sQ++vQg83gJVXkVz5FJJzzwO1NtRb/xXZ2/8AufgByCufgpx7FtAK2cZ16J3b0MNNKF4nbUNnAwj57aOeUkQVquIeW4+xQh5rmZMeZr0oqc5ULoNLvrn1gtWnaAwHbfA7ENojgtLwOs2IMVkcOIElqwj1ycYieBk+zWk/07xvv54OnKfDfh3z2qrBipHixH0t2bUSwqQsHxlPM41fAkk9j8msNaBNxAwYK0ZI+ebh66gffqPh20zk9CSZEMlyRERExBMCIsiDYYbVjX1sbg3QadfQ7zXQbp2QjZVaAVm+s15v3YS69z8gmnNAUodc+hBEow/s3IUa7QEQkEvPQe8sQW/fht65k9e5+z8gWvMQaQti8YcAfP2oZxURBEW7MKTMfySvifRw/zERJ8BRXwE4CrDgZIrO8wgXfAOgs2MNJQJ9EHwFs9J9wWwm3Itbasur4xPIad0FB23mc/phdSzJHQHjgVGGDVH2LSM2DBzYTQ+pviw+sxM2TxtrFbuWompSNH5PmdfZZD5M4zyqaBgREREREccbe/tj3Lq7jWs3NrG81EEi5ckhywQN6K23oca7uUd59mkkl/899O49qPWrwP4qRP8pyOWPQu/dh7r1zVxh3rwBNd7L6/SfRrL8kaOeSUQVePpnALn1gZNVRhTtRj1PxeUxde3xkLKoCyLHLRA2wQaBn58WjJA6ZFR7x5hCChaXmceHhtcOKb5WhZ6aKbNfvn0lMDZeTo2B0S4w3mOKsqfe0jqR0ss37/H52/YTIEnzeessj6cMmlcV6+UeaHO9eTZEq0SHbib4Wh+MSJYjIiIinjBkmcLe3hjrm/uY6dYxGk/3B+N4QUPv3ofevQ8x3EbSPQ/ROZvbNLZuQq+/AdlagGzOQSQN6M5NiPZS7m1eexNiuIWkuww0zxzcVcTRoETCELApAI5tgIeAc4imF63C1iWiyMOJed5mJ3QaULYDVKGqjAqc1+yHN8HJnj8ejSIbH1OUpyHM4qC2OVg/ArCJSEa7RR0nuQrvhI1JZ0YxDgzGhvwTZqOf2bQLdqPANzDyYfPNmXRD5dz4BObzgIhkOSIiIuIJQ7OZ4txSB0kiMNdvotupH/WQHg7DbaiV7+XWjJ070Lt3oSncnJAQ9RmI1hySZz8Dtfo6sPY6MNyBWvke1N2rRz36iCpo7WaFKxE533rBLRbCI4PM0mAf07Mwc77lgfp1yB/r1398TwovveZE3dkgp1wi59gqGFG3HmbfJhAigNx6UUUQqZyvTmtv8NRMSNE1/fANkiqDNmHeRJIyYgtDqlXuSbb9BeZCNyaZIdLWRkOqfsiewgmyD6NoC4mJNzZC5t7oKRDJckRERMQThlYjxfJSF4vzbaSJQC19kEfKxw96tA298ir0xluAGkGP9wE1hlq/CrH1DsT8e5Fc+DHI8y8ASRNqbwVq/Q3ole9BvbN/1MOPqAIlkNCeNcAtZMrw80RUGZki64QlekTIJCOtjJRpP9wZdadR3jzoDY1sEX59q/xyssyJnDDqKY+CwVVt4f6286c+ETgfGqOvIAdIbIl0s37Ya60y6GwEISS0EBAyZeOmMHBmLSWlsObdiIJgqzGcmNfUjhbIs/IBTvpxasOBLJKjlG6Y+BQNoU6mEwoiWY6IiIh4wiClQKOeoFFPsLM3wubaPkbjDJ12Hd1ODWlywsizygC1Az3agWjOQs5cBuqd3Kaxdx/YuQO9dQN64ywgBMTsU5BJDXp3BXp4/6hHHzEJwSfmRJ69OMpcdeRe1qC1wFN7q+L/ljbMUV8TBsxTVQdjH3MCHbBeWGuI3yYj4H5ZccC4Qt5j2wfvP9SGa39Q4xHU/jb03lqx1DIFMhpLruoKnkZcpnllR0g3NweCW0Ac1l8er73R0cVbXo4ijJDVxVlab92kYqHuJiOS5YiIiIgnGJubA7x9awvbu0NcWu6hUZ85eWSZQXTOQp79MET3AtTdf4G6swfsr+WxmXfvQXTOQS78IPTsM1B3vgPIt496yBGTIITLn3jECGeDGFBs5uNE2Q/zZtkdSgSNLBeaVGmPeJXqB+B4o8nP68+J6gbGaD3Wpr6dM4+z7LcHFN7lAFsOxkymt0a5tRsiPfU6UFeNBxjtrGK8dQdpvYW00YJM8jHmKnNSqLtCGNJsfpSnlGveH58f/Q7YKELXxPGZGxXaufb+uonc3jye7slSJMsRDwWtFLLxCCobQcoEMq1BJvG/VcSjw2icYTiq3pAmICATgeQExhA+CuzsjXB3ZQdrG/vodeo4t/Qg8WOPIZpzEHM/ADn/XujBOrD+FvT2O9DrbwJrryF56qcgz30Eot4D9lYh6u2jHnHERJD/VcMhyv6GPS0AycieJU0ZSmQZCSODLHKC44EV4X4gWf2g7M36pzHwsp6qbG0d3COdeG2ZOWijzOqK77agVYWtW0lxL5/XgbpaKWitoSCgtcBodxujrVVkm/eA7hxkkuSEmHzeUkKIBFrK3JYhk2JdKQScXRI6zpKW2JsjQ3BL6bcDN0B0/UjJ5+vqqM9w2xpFshzxGDDY2cS9t17B/WuvordwDotPvR+zy08d9bAiTjHeuLaOZL/6C65RT7Ew18TCbAvpCffiPg70ew1cudDHmfk2lhbaJ9+/vHMH6va3oHfvAmqMZPmj0DuXoDbegt64Dr15A9nN/w+ivZjHZj77EQD/7aiHHRFCNgKyoUuQeaY338+riPByvy/fGMhVS8HIpWfjIFT1YzffBc77Vg4h2Rh0QQiJjBPxUyaKw4Fh7Xi2v4BabKfP14DeF9YSnY2hs7FTTusMWikoNYbOMmg1RjYeQo1G2B+Msb6jsb6j0dQb6GEVnWScWzLGIwiZQAgJIX2ir6C1yP3INiRePlBhI2gk5hxl6vOSl/g2DGezH1i5EXvNrg+Qr7OjA7DjUyCS5YiHwmBnA7e+92289t//b5x9z3Oot3uRLEc8Urx5fR2jjeqvrpluHVrPod9rRLI8BWZ6DTQaKbJModFIUK8lB1c6xtA7d6BGOxAb1yDPfgjy3Eeh91YANUK2cQ16623owTpE7wLk0nOQZ58/6iFHVEGPgfGwUFZVhiKkGFAiiY7PmBMlIopMVXUgvLJOoyiRNduHn4YbTBlmkTb4RkVZy38EirjDPDkHUGE7gHvOt0cE6zD1mM1JqzHUeB9qNICwkSsANR5CjYfIxoP892gf48EeRvt72Nwa4Pq9DNfvZVjsCVxZEmgv1KCyEVQ2hMgSyKQGAfb9QX0rUue12fuYXwctE6M8MzsKUN4IyMev2Qt+46LoJCPYtMlTA+GsixoxznLE44GQSGt11JptpPUGpH9XGRFxyEgTOVH9FEJgd2+Eeyu7qAWIXy3NE3C0mvHrD4Dd6HdqMNqFHu3mv3vnoYfb+WPg9lLuVR5sQO+v54p1ggmsAAAgAElEQVRX7wIwnjvqEUdUQZt4uw6p9GMU+2TJ/C5taHOV1SAx1ZMIM9g5RsZ9AiYSw8k1Gw4lv9CAlsj9uwjMSxddlMBJsvntJF/hQ/TH6KnfOgPGQ4hsyPrUuYqvRvnx8QAiGwDZEEINITBGKiXq9RpqrQZqnSbSXgtJswPZ7EDUGhBJDSKpWfVbVNk+6JhMcmIsUzh2GWnSZFeQffclb1+7x3hGQMcXztqQMRpGxGNAszOD5fd9BI3ODDpzS5g5e/GohxRxyvHM5Vm871yz8nyWaeztj/H6W2vOXhJCv9fA+bNdtJrdRzjKiKOGzoZQa28C2QiivQjRmod85rNQ9/8N6t6/AcNN6JXvIbsdnz4ca1gLBqmGSXEcYD5cwLFclOLxAo4aKzzySceoH2dzn69sekoyRykcHFzrBE924oyFt+Op3yHSZ20gYESbkUtL1HUeC9kLdydkYvz6lPUwg0hSSJVB1xpIxrlinDbHUNkYaV+gttTB/LiDdquGfq+GVqcGmdTyvUoyzS0YMmEkuTwbYf7NT3sprmljXigaSTBsHtxyNF9+LfwbJD8ZTW0L0yCS5YiHQqPbx/L7PoJz73sexQcgIuLR4dkrc/jglWqiu765j5dfu4/Xr61jb78cFujcmS5azTzOcPz/eoqRDaHXryLbuAp55oeQPP1pJE//VP5UfOsm1PY7eZzlW9tHPdKIKljiZ8ig3QCmAGQFiRIJ3I10jFiF6vgEi9s0OAm1oelCvlauXAr3eKloERkit5OQVzlgo7DtMTVYJoBI82NqnM+DuuKEOeShNl5kZKP8tfFFi7QBkTZg4xszO4JWKk/wQxv2oNFJm5hvLRqvf81aKUoqPb95YOMRNMcDv3QDSrht2/cvh6ozRT0E5yYKQH39gPHkiGQ54uEhRP5BiIh4DDjo+7ZeT7C00MF4rDAclf/I1WsJdvdHeOX1+86x2ZkmZvuNEx027WEwGiusb+5jfWOAej3B7EwD/V7jqIf1kMhVKb23lqvJAPRgE2LhfUiac1BbNwHx6hGPMaISArDJLBwSzMOJ+cd8SxG3a7BkH3TMiftL5NRToqvIFx+HLcMJNFPEudpL46T4wlwB17467s8hcfkiJe3QGaATVlxYci6yMXSSb+YTdINBFgi6EWARNoTQ0DKF0BpqPIAeDwAMIbWC8JO9OFEmRJnkOvOAZ5WAuy5VdWxd80/QOuMUCozNL6arzwUQyXJERMSpQqOe4OyZNnrdOlTAh7G1PcSd+zt46+0Ne6zbqePpS330unWkp8i++yAYjTPcW9nF1bc30OvUIS71TwFZzqH3V6HufRd66wbk/Hsh598HzL8PeOefAfnGUQ8vohKGHCaiUAwpG5wTfk0xhdlhkuw8kMdP5s0LOIpvKQ11oC1veJYg8qx/tHeHR++wVglPfQXg2DQ8lbfUF7xxCW2UalGEzhOevSHJINQ4vMTUlxeOTlB842wMlY2M2pzlS1PaJFlBfB1SjKKOjQltyjvWCVbHfwDAPd3czuJclkBbpSGwcUyJSJYjIiJOFdJEYqbbwEw3TPTu1XaxurGH/cG4EJKkwNb2EGsb++i2a6jXT35UiAeF1sB4rDAYjFGvJciyiseYJxFm05/efgeiOQex8D6IRh+icxaivXTUo4uogkNayT8Ml1zaY1UEl4gnkWDegTQE04uxzG0THMFMgIBN7KGZ7cPGHTYKM82B/MkOaacIGszL7BBIFkYtZEUQWR42j5N/vhYiAZIaI4q6SEMNbRRmz0pCa5DUoCn7Xmk9ykMJkmhLbKmO9ghwqI73umrtOfl1ICpev7vvtUiWIyIinii0mzWcP9tDo544G8vHmcIb19Yw12/i7GIHC3Otox3oY0YtlTiz0IaQAs16empUZQcaUFs3gJv/DNFZyuMsn3sewP911COLCIH7jQVQZHPjxI0y3hHB5IlKGBELkmkqwxKC5Adzku0/mZrot+VE2bQjk1zNdjus8OOyNkpOMFExb/NaZTlh5mN0lHIi42Zt7LwMeRcpgIStIbUjIdImkuYMIBLItMlUZX7joZ1fxTlWxs/EOKlOybJCh7mCzeZgy4Wuj2b9igntTEYkyxEREU8UWs0U5892cXaxyNy2uT3E62+t4fW31rC02EGrWXsCyXKCMwttzM+2IASQnErvts6TkuzcgZy5BHnpE4YsRxxPUHIKs3mPlFVOlKyKy8LMlZ/fw428QKdps52GY1vQTHn101AHYjvYcVGmOidtNPmYTdY/O8YKkiZNjOYgGGG2iTuQE2XtJhiBygBlknQk9Tz9tAJT2s08BR8bD2GXj1/WGhBpDRAJRM2LQkTXwld3LTH1FXAi8pPqoLBmWF4u2Dk2R39tQk8CrJLtE/iABWQCIlmOiIh4oiClgJTCidWcZRrzs02cP9tDrSaxsbmPN64VX6LNRoJet45et3Fqt7IKkVtY0gTY2x9jbWMXO7sjzJh5n5pYzGoEqBH03gr0xjXotbWjHlFEFbTx71piFXicbj3BpDD6IdgMOXJUZfbbRsoAbOgyakcIpgxzMuaTQEak/XBlFobwW/8yKsqKcDt+RA6+EZCvjY29LPMYwr6Xm2cSTEJjFrBJVFSWR75I6jnhTurezYa2Vdw14Wvle4rZNCvreKcO2jTIy/ntHtTOlIhkOSIi4olHvZ7g7GIeP3R9Yx+rG/u4/s6mPT/Xb+Ly+Rn0OvXwl/Qpw/buEDdubeHW3W1cvtDH5fSUJS4BoIc7UCvfQ/bOdOluI44A2chYDNhnzguL5qRRlmxznUVAcQSszcC+1jpXmW3CjAd5skJWhyoCx0g4JSKhzXpShm0ZVgkn8sosJX4ab7KY8JjUMgFEHUyqRUG6DVmmKCNUx0bkyPJ1zQZAkgJJA0hbpk0/1baZPyreTuUp9t7arHtT1uXltDBqPrvuoTFUjiuMSJYjIiKeeNRSibl+E3P9/DHj3ZVd3Lm/a89nSqPfa2Bnb4RamiBNJRJ5eknzcJhhc2uAeyu7mOu3MB6fQkI53oPevA69EuMsH18YK0TJ/kAwBFBlhvd6NgtHNfX8qVxB5hsBtc4JrO2TK7+8f58s+kowq6O9etxDy60HvGkBNnZuP2GKOsVBlqnHH4kM18zbsbGpMPVapvl5ypKIrBiLbd+kFk/qQMr2MHArRNVNAl+z0s3ApDpURrj98OP8t9MVRT1h8+CLG5XliIiIiMNBr1PHpeUZtFs1e0yI3JrwymsrWJhr4cx8HprutKLbruPicg+tVg1LC+2YGjziaGB9uU4wZHbeWAwS8vEyy4QDZhewPlVODrky7BNsHvKNEVafwDlxkgM2C96PDIzR+n9pbDLfiOfYRDhxF8wjzYi9VaN1bjky2fmsmm2tFFxx9tfdxLZO6ihlTPTLBcFuFpx7Cn5DUVUngCrF3j/H42iHblDyQmUVewrEb8CIiIgIhl6njkY9wbmljj22ur6Pazc3cO3GJp65Mot2q3aqyXKnU8OF+gzOLnZQqz15YfQijglE4toqQpu6ZIKCygQUSKvGEqE1FgZr7+Ch1kybRGzJ4sE3wlnbAn/aYgi9ACOnMIk/vAgcMikIqGPJoPHT2HT+w+tztbU0XrhEmZRhpcx4VG6nIAJMx0KEWRjlGTC/hTvfUmQOD5Yo+9fjEOrwmxXuIfctF5Vh/rzykSxHREREPDjSVCJNXcUkyzRmug2b6GR1fR8A0GnV0G7XTp0lI9/oJ4GoKEccJbjCW1nGs2horx73v9rEJoBVYh37hGmA+17tBkFGzMhv7KjFhkyb4B052aXQdzQwGh+90PwA64//9hOYhGwbhmQ74+P+ZBobT9oS8ipTHRTqMkXKKEW24G+YtaSkJD9kHSrLFXpus6jyHh9Egnnc5ykQvwkjIiIiDgCFm+u0a9jeGeLuyg7ur+7i4nIPF+o9JKds81tExPEBVwknMRvh/CreEGHmYeJEQQKJXFqllZFUAaPCsnaFQB7SDoWS62TMk+X03OSJJiKqKMU0kVUzVgHYBClEwMHC2dk+ZaFuK8oSmLkKuVWgzUY+yegeha9zErYk+XFuO5Gp59/mS+0r9/7lCRHlB6xj145O002EuaEpNzChHa/N4OtqRLIcERERcQBazRStZopzZzp49Y0VXL+5ie3dIVrNFGfm26il0ogvp0thBgCtdZ7DwDwRPo1zjDgJmIYUhf5vMoJG5FCkAZXVU1W5ykv2CksiiUxT9A0izb5CzTzI1h6QladieTXrz49/bD3WRiFWLEIGkWUtDNdmFg2ZZ+FD2sw9zBRhRGdF9A9u9eBZ/QQpywdsyPPVXZ5kpbJOwPrh13E2EtqCsDcWwXjNB9gr/DoxznJERETE4WN2pomnLvWxtT2EUhpvXF9Dv9fE/Gzz1GW90zq3nKyu70NDY77fwvxsE/KU2U4ijiuc5/NTlJugNlLSELJgcAKmNQol2euryhvrwISGo8x4llyjILTWT8xDvjGPsbVk8IgeXFU3x9TYeKmZ9UIIAKk7dlKSbdIWlgyFFGzbDW/L9J/U8mgZshaes+Mt9tasZG3x6wTIrT3sKe0HWS6qSPkkEszrRM9yRERExOFjdqaBZiPBxtYQ79zZwhvX1rEw10KaiFNHlpXONze+cX0t/9tzOZ9/JMsRjwWWPE2pUJYe9XOQ9aKqrjlfdFz8tj5o1r4/Bm6zcNpAYc+wJJhUYto0yCwR1kqh4ajZZL0gsmzLUTu8X3NjINKCuKsxI+pEQJNCSbaqulGuk3q+ITCoKpOiDTjEtphweY14Hf/mxvrKab1FuV2rzPvdeH2HypWGxupEshwRERFx+Gg2UjQbKdJEYn1zH1IKDIcZNraHaK3u5ueb+fmIiIjDQhUBCxzjnlhevyrmMuCeI+U5CM0IpyhIJtk4qpRO2z4Lb+Zv7KNyljwaP7INicbtIuYYD1vn9JcU9cimwdfCEkbtxmC2fu7E9Tnz9XSGX6W2V9Th87ZrJfwCgfcPgBAhL+HBbvgjWY6IiIh4F6jX8qx/tVRid2+Mjc0B1tb3sbzUwfJSF2n75JNlKYD52SaAOWvDiKpyxGMDkamSZ5V7WQMe16nankSiAmo2txBoVRAyycLW8c1+vsLNCTyFoINGnhCE6hGZ9sij9T2bPmRaEGQnzjCpzSzRCs/qF5q3rrBMFAXC9geH8D5AHb889xjb4lXKcKB+sKw/14Ay/oBcPJLliIiIiHeBej3B0kIbZ+bbuHZzA6++sYKbt7chDMHstGsHN3LMIYTA/GwTs/0m4ga/iMcPjwhXEmNOLqdhQQf9Hw7ZDsxvmzlPG5uvcEkZ2Rhs+mmm7Drxms0xNWab6apusBXzQ4u8bBCyaMdGvKCY0NYz4c1PICjsOlP3lPgDN9G9izr2nCGy024ADJJyv82KOg/wXRbJckRERMS7BKmsvW4d55e6SJM8DfbN29vY2hmi32ug32s+yHfysYMQAokABsMMG2v7WN8aoNuuo99rnIobgojjDI8E+XGBg+U8pTX4mL+ifKk/35uLnIhKUnUpGga1Y+orhTxOs98+L8rH5t8EaEZwTYWQ3cKxTnCLCSPJjo/a74PUbuFaLig6xrRJRSoTgARIeblymOsG+7H/OM1Otlr49hT6hxT/iqoeIlmOiIiIeEj0OnVcOj+DuX4T91Z3cePWFpqrCa5c7GOm14B4QH/cccT+YIxbd3fw1o0NnDvTQXKpH8lyxKMFKYxOVjpVJAARIULHwWwR2iOglmjSPwEfs6PKsljK9idkYSAVGbDe30nww82B9Wm5ciDWsWaEPJRdUCsUiUq4Mo6iHIWO8zfx2RjUPlmn6B00T064SxMLvK2yQ1RYPOglt2cc1I9zKPS9K1DEaa4aexmRLEdEREQ8JGjTX69bx87eCIPRNoajDJvbQ2xuDdCop6jV5Ine9JdlGvvDca6YzzQwHgcUq4iIw0Ypix/JvMbfKzjh4eSVeYghkUegMMc5KXbCmfnEKXRMuCmruewshOGnipFITjhpKny8nr+Zq9nO/EPKMp8nu6GgzXxBIhpSVGktvX7oRsUSXTofILlcfZ+46c+Hf5PC1smuK1uPUgQTVm5qsDlEZTkiIiLi8SKREvOzLbznisbu3hj7gzFefm0FZxbaWFpon+jQcs1GguUzudVkdqaBbqd+1EOKOO1wnuJT4o+UKa0E7RXmvtcMBXnlNg4Utg6qX4qnLMs8zPFN+9nuTKITLQr7g59Zj2wS1A/ZOGzoNgGbIZCDsgvyBChWTTb9kCrtbOarsDNIPh6FfKNhylR7vsaClaM6oRsBP26032/A1uGvqR0TDZQjRMInEeWqdia1F0YkyxERERGHBCkFFuZa6PcauL+6izeur+ONa+sYDjN0WrUTTpZTnFvqYHG+hSQ52Sp5xEmBT6iSwk87iePQBjzAJY+hTW42VTRl4mMKK0/1zNNhc/WaQrtR0hNOltUYudTMbCMU7xgoSGnJn+x9tqwtQxdjs7YM8ijT+CZt5qNDzJ6ixnldlQEJI8mljIR8HLSW1BaKtZMsFXdJwac5sPlVEeVpNvgdBNtOhX2j4l4ihEiWIyIiIg4JQgC1VKKWSnQ7dcz1m1haaGOm10C9doB38ZhDSoG6TE78PCJOEBxCCEZs+KN74R3jqmfIU+sRSSKxji+Y6jIl2iG0KOpb0p0VTg/HFkLEUOUk2s6LivrEsoLcCT5PTtqZYl5S2Nk4/UyBTjISmj/FV/Y/4z5BBgrbhl/O9zKLoo5NNqLDS+ncHAXmEJxboK1guxWINoyIiIiIo0O7WcP5s130OnV02/W4GS4i4oEhmPIKOKSQ+3UhCoXYhmebQjKkjH5WrQUK369i/fEy5OP1bCAqAzBG4ZGmOpKdN2OjtNuk6DrwFFm7uY7ZNXRWEG+qY4kpt5kwP7PNFMgILWeKZCOxMZy1R3rNWGhezo0MU75Dai5fOztuj6XytNZErDmCPHka0/EBNo24wS8iIiLi6NBoJDjTyOMwZ0ojyxQGwwxJIpBIeaLDydF8tAYSKZAkJ3s+EccUPiG16qavLBubBFkcZIrc90uKalX7XFEmcEJuIkZAF7GTHVuIIeUqK/q3aabJLkIWDqMA2/6IWKqCTNL0HKKpAbAYzJboVm2wZWRUsGNCuESVrBukJNsfsp2ElHR/zagcKx/arOe/D8VH5mM9yGbjY1LoukplucLuUYFIliMiIiIeMTY293F/bQ/DYYaFuRYW59qo1U6u53dza4D7a3vY3x+b+bRQr0d7RsQhgzatFaEQinOCvyX11/iO3Z2Bnq2A2zWYFcGxcJh6Isl9vKRwS1m0b/3DJu6y5h5fQ0Y5JFOcSU0WAkhqpanZc3YcTCm2fmXPbmLLBjzdGsY/jYJ005jtzYZpX2XuDYZVx/31y1Ao+r6K7CFESEsktspmwfutODXpTt0n5Q9SlyGS5YiIiIhHjPXNAd56ewM7uyNoDfRnmieeLF+7sYH1zQHe89Rc7smOZDnisOFsqvN8sKQaOuQ2oEjaGMS2UQBZoRhbHs4SeNgsfKQe04Y3PwIHWSok+zFt82QgPC60ylCkuDbWB61RJDGxA3eJnJ0mRZxQ+Tzs+H3LhSjKabOJz/qSjbVFcZXcrIGicjQGprzzmwrFSLq1Jvtj9iwzdl6BsgeB2pg2UQrvN0jWJ9UtI5LliIiIiEeMJJFo1BMMhhl290e4e38HvW4d7WYNrebJ+xqWZj7NRoJaGi0YEY8IIbVVw1NdUZAhJ1SaIbOVGwBDHQkmcGr3PU9uYttQbIyKtXGQSupZDUoeXc8+ELI4BH3NTPl25kYqurnpoPVzfvsRMHzSS20BLgn2YZkzu150zOs3WJcjVK6CGE889PBfUCfvWzoiIiLihGF2poGnLvaxsT3E7t4Ib15fx9xME+fPdU8kWe736rhyoY/94RizM03U06gqRzwC+H5XTvT4Sf8YhZkD8jp6XCjHRLZLqZg9gunEZda5bSEUSi2jBCBc9faINZUlAkeppbVmKrNwf9M47HgyjwASWeUWEY/g2rTXVFEx14aZIyVYEUmhgPP5cIU8FFvZXRDPvoHiRkDwuVXcsIQsE1aFpnYm9BlEqA5vezqcvG/piIiIiBOGfq+Bfq+Bja0BXn7tPq6+vYGtuSG6nTqWFjonTpmd6TYw0z25MaMjTgp8hXYapdGopGRv0GMWS9gQP5kWVgWqI7w6euwqqlqiIOB0mOIbM7ZGbduMeuSJNuVs3yjGZmM8M8JMbRLJV9y7zadriLJMGQk2kTwUT8gCFF7jUBuMMGugiJzB7S9UPqQQG9KqNbskTEHn8ZudNOJF9XI/YAQ5QHpDGwWdeT2g1WMCIlmOiIiIeEyo1xIsLXSQZRoawMbWAK+8voK5fgNz/SaajfiVHBHhwvMkUyi2yrBhRlElxdeqvSkgq+wa5jg5FSAM+WRqsaNak9KJ3Pfr+42tCiyKH9qUB+2Gi5Ne5AygINhc2SXfcBX5o9B0nDySLcMZH1tPANbDDBhSzok1W48QLDFmJJ/CzoXKWmWbz4sp0JP64ZhYx1OwJ+IgVbpA/GaOiIiIeEyo1ySWFtvodeu4v7qL2/d2cP3mBp6+PItWsxbJckRECJaUkb1B5QSwiuiorCBjNgufiVoBATc8HLMoACiILZVTrsDN/b3alHEU0qwgrjZtNCf5ZmMeRKHmUr95A8Vvq1oL1o6nlnLl2lkQvw6VZTcMpfZ0ob47vnDmQ7ZDJFLNlV9RXJ9QMhhq21eUeRzmUD/etCbWga9gV91UefM4APGbOSIiIuIxIUkkep06ep06xmOFlbU9jMYqV5qnjPd5nKCUxmCYYX8wRiIFGo0UjRgVI+KwYZXCaR6pM7Lp2CwYCSabQenRvjJ2C+0STWrOqqFAkY3PG5OfTKOkcBrC6qStplNM1dWMJNrYxoH52+b5vM2J0MZH3yLhjJ0RS5+DOh5xlDmmo/IGCoQ2Bdomgwfd43zcVeMKvHWeHIQKRGU5IiIi4vii26nh4vIMZnoNLMy1TqSqPBor3FvJFfJmI8G5M10sLbaPelgRpwk8EYjdrGde22OMfJJi6/uLnYgQvoqMwiZA5yznZOmqFaWG5vYKn6xJIKmzNuHaKoSxhDjJUJh9ghNk+MQdcELc2TkgV6htG1xtJgWb21dYH8J4sW0oPr7WKIPmTip9MDpIqB8RIOAH9MPrCP9aVanFoXFMsHHE0HERERERxxfddh46TukuEikg5XRf2scJ47HCvdVdfP/qKma6DTSbaSTLEYcIsjwQ0cuKpBn2PFMsrR2A+3B5RIgAabLh1gwJt6TZ2CjASeoYDpkVJj00Z4CUCQ8iH6v1EpvNdqLGUkoz1boUIYIRcUscDQnmnmcah0jNctDmvjGgRqb91IzTT6UNk+aaqe5k1wDKZZ3xUPZCnhqckVR/Drw+4aB+nD4pUgeR4YPIcsV5X1mf8ms3kuWIiIiII4A0BFkpjc3tATa3hhACmOnlkSZOQoSMJBHo9xq4cK6HdjNFp1U/6iFFnCro4ofbEqySrJGT6ap6k9oFs1WQXUGCdWK4OkW2SADUqgmt0zyN2UTLAIpwcY69gyvK2q3rR8bg0SMkT45ChDsrXgtREHLr99bueDkJBS/HlPOq7yBLSNnNiu07IB+XyPCU/biNFGtANhXH+sHaDoaYc5sq/g9M03ckyxERERFHCqU0Vtb2ce3mBqQUuHKhj16nDnEC2HItlTiz0EarmSJNJbrtSJYjDhlc6bUkEgVhJmWVK4q8ThUZovjJWhtyxZRLf2Od5LYJRtZ4SDjeLm22o42GPDSbYx/hv81rUmjBMw8yNdnZFEjLwjYNEvlNagDqhSJOmfnsxj/AVVdpHcxxbnuw18EnrHBJKdkm3IUOrP20/cA9bjcxaq8dDmGu64FsuXp8AUSyHBEREXGE0AD2B2NsbA4AALMzTWztDNGoJ6ilCZLk+JLmJJE2hnRExKOBb08gHy+9Z4SPK53TbJi1CiNXcvlx6kK6JJXIshq5ii8fr7V9mLalsUrY5CgPMk5DHu0NNCe7umjTqrsUhSNBEaM5K+bip+8OxTcuqb6iUMn9zXrOBkJfVfbWkoP3w4+F1iQY79m8LQkLB6nigd8HIJLliIiIiCOEFAILsy08+9QcdvdGGAzGePX1FSzOt3Bmvo2ZSEQjnmhYRlYoo85xFIpjkPd4tgmAWSG0R1rHbh2dmYQmGuUNeUxZdsbik+yUkVJV/ATHy7zAGsgVZXOKZ/3DGNBsPJSx0I7JjIuUcArZZpOSaNhNhlaJ5Yo3kXMao7fmThprOlxli2Cqsb0RCfQTWj9vaYq2nYYmE97SBky4inTc4BcRERFx/CGlwPxcE71eHSure7j69jqu3tjA04M+2q1aJMsREdyfKhP3OPcFw5QpCjA1kggSJeogfzInr94GNa2AbASIcVHf4WXaP1Acpsx6Sc0b6wGKsr0hoI2JCk5mPSLwIi1sKPAjdmRwbQiiOG/nx2JAk51C+2tB68Y81rZJssOguD4lWwSRf58wh/rx61WpxYwwT1zLUBuBdiJZjoiIiDj+ECLP7FevJRh1M/RnmpibGaDTriNN5cENHBPsD8bY2R1hd2+ETruObqeGei3GXI54WAhGCuHaDbjqbN9zI61PmLgfNvAYnh7p2yQmFFVDFKROMAuCQ1R10bXgJFEUFgKH3PGxkYLLj0s4vmybiU+ydsxaWPWXxu6p1paAky2EjcuB9n7zefF1pbkT4ZxkZTA3JP5NTKkfv5pnt5i0Y6+S8FY9bZiiTQ+RLEdEREQcEzSbKc4vddFp19Dr1NFp1Y56SFNjZ3eEG7e3cPvuDi4u93BxuRfJcsTDw7de2NBx7EdyL7BiRIiItixUXSeMHLM9kOIoJCBNeDeZ5q+FKEKxUX1LZLnFgh8jJVoV/To+XxSEmjboOcTOqOia/MVUiTIR8lBtjJxbopq5MNIAACAASURBVG3WC2Ck3mOOOoOz2Y7fbDib5Pi4OXmncijqOgScbhJojAf1w+qF3pYsFaJUtIyKAgfWcxHJckRERMQxQbORotnIYxUrpaG0xmisbJi56XWQx4/9wRj3Vnbx1o0NtJopzizEeMsRDwsisQkKckgEj4gjj6nsRVCwCi+PlsE9vYkhcCzlNMVOTurFDwSQDQ1pZnGbnQgZRNS5osyiZZTiPJs5yARQAcJYFVaNiLNitg5pomyQIi5QkFQiqKWNd6q48dCB85bsT7A4WM80XGuF3w/dREzqx6kTsFaI0otiPaowaRPfA0YbimQ5IiIi4hhiY2uAlbU9DEcZ5mdbWJhroXaMbRmddg0Xz/XQqOeZ/FrN+Ocl4mFBBJfJsTJlxJMUWzDySmojES7F2uL2CJM4pESaiPhmQDbIFWVqHz5B5v0wawG3SfBNdwBsZA0ifbSBEJiOwPGNeMFzXG0W5Xo8oYvw6vopvgGUNv/ZtsxNg+PlriLWfj9AmSFPqGPrBvoIkm9hXxb9hTC9vBy/zSIiIiKOITY2B3jrxga2d0d49rLGTK9xvMlyq44Ly3nc5UYjQbMe/7xEHAKsWmxUX5EgJ2oZXKLM7A/Opj3AsThYsssUYSeyAgqCq8b5hjlSgG1kC8peN2YZ7DiRpHGx+ND0WvrKM1PDDyTL1BbCPM9m0iO1mUg5qczEaolQirLi7dheiqV31HPoXNmmMXO7hg+/H8eSUYHQhkJ7Y+KXs/J5cYx7ySf5qf0nERMQv80iIiIijiGEzOMYJyfAggEAtZpErVYHOkc9kohTA0u0FONDRKQkIDzV2AFXn8HOk72BvfeVU+tz5goxe08+XSdhiqew+pEabBSPABm1c+Vjd056rzUjlOxHoCCuGgVR5Mp8SU0nMq0xvTWBEezQ0ofg8FpO3isKl9RnXdFX6MmAqCDJk9Z4MiJZjoiIiDiG6PeaeOqixnCoMDfbPFGRMSIiDgde2DFrMQBTh/2sfSgTVYCRL0/p9eMLS+TENmkAYgy7AU+QEmwsCLaOadcq24E4yiIxZJmfB2z2wUpLB4P1MBNjZDGSnWgXVEabrH9MRXZsKNQukVAiv5PUVk66yy8nI0RqgTIpprXkdhBtT7lrw9bNHiKLyDTe5mjDiIiIiDjRyDPj1c3fE/Gg+1EiIk4+bLQITn5pYx5ZGYAitbVHfP3H+ETMKgmhKUQb/Kh/xWIe2wQohqQKRpSJWFvVmeaRALKeE+ZsmEfVgAZEaiJe8GgYHskHPELJVNeQykqEUo3ZPM0mR8HWtNQ+WU8Cm/RCeDdfSDxVOVe7S7ZjbqnhY/QQiiISvFEyVpGH+BKNZDkiIiLiGEKYP4jjkcL61h7WNwZoNBLMzjQw0z2+iUq01ljfHGB9cwCtNWZnmpidaUDKyPYjHhA86oRDgHWh9joGXk7AmCppLQYTHvvLtEhprQGMB6yuKUNeZRtvWXgEkHzU7JxVSVk2PqtAZ0DGU0jT+cA4QzGRnU17wn0tKCU2rR9b0yA868iDWDKspWJKQio0oAOh7GyT9JTggLa0KjdBVpQguQ7dhEyHSJYjIiIijjGG4wx37+ch2Wa6DYhL/WNOloG1jX1cfXsDSmk8damPXrceyXLEg4NUXGfjni7IqiMeM/IovXBxBxEvgTyectqADQ83HjDFmHtodaAp7W704xsOJSngZlOiMOPTxiahxnDiFlvSWzRdzI+N18mCx2Ms2wmZeMysnuOxDq032VPACPABsGo4inU/uAJspAon2gmf5xTqdrAct6pUlKPTpfjO1YhkOSIiIuIYQ5tYy7t7IzTqCbJs+h3cRwENYDRW2B+MkSmN8Sig/kRETIWq/zg6cIqriUxl1ZMUZV5d5uqy7TcrLAuOgl3hvbX1PFsGmCquFVxSTMcSQ2wDyqwlldQ+vLlzUhiSWXkbofqlhYBj9TgI1irN6x1UgUFTA87Bh/zO8NeQbqx0dZkDEMlyRERExDFGPU2wtNCGFECrWcNM7/iqykD+N3++38Qzl2ehtcb8XBMyiapyxLsAqZT+hrngs3fyuaKiThVMGTXO1WSyYyQ1V61V40LptlVJGYUhyKnrCebKqeOnpg1+CZCY8hR72fqiven5nluyd2h4KrN3cyr8tZmksCdGCTfjnFbdFWxu6kFu5iv6OMiS8sDgFhWv/2DSlTIiWY6IiIg4xqjVJJYW2pifbUIKgSQ53lExhBCYm21aUp8kAkm0YES8KxBZzpiPlnmEgYIA2U1hEtDjcJ0SmE9XjcwxAdRqQNoq3tu2/JTURFK5mpwWYeKyUbE50HZp+qPYzZCufSEbFcTXIqDYUipuoNg0SFYQJ3YzZTk86DNoxp+YNv12KquRWk1EPZtcfiowK8u0dpCDECTKiGQ5IiIi4jRACIE0FUhTib39MdY2d7G7N0avW8dMp456/SCP4ONHmkikx29YEScOVWTNtysw0iuIvPobyLzNeP4mvKSeh4tL6oUdw8lUF7ITMUsFV6FtiDki9KEbXGa70N5cbTv2nzKp08oQfGHO0fxoYx8bl5SBMYQsH6IgyFOT5SltLg8CuznxUaJKbQ4jkuWIiIiIE4KtnSFu3NrCnfs7uHx+BrXzM8eSLEdEHA40I4JAQXBYWDEidYKleYaAjV/MI2dYwkhRNmgjXAKkLYhaB5AJNDTshjxl1NKS2gtjWaB4x6ZvnQHZONCnD64WqyIjHs1P62JOodjL2bg4VoqAQVkGWWi7UizjAIHWysRmVi5Rn4jDJrZ8vDo890PranqiH8lyRERExAnBcJhhfXOAO/d20G3XMddvolFPciX3GCYtUUojyxTGmUYiBZJURktGxPRwCKqvgnJvLW0SU8bba/y/VikV7Ie3ZYgyRcKotfJ2s4FJZZ15NgruGaYxJO7QlC5iHMuk8CKXJ1f8tpv/tEti/c1vzlIQsQXrhycb4ZsT/f6Fe56IMd0gBBXlCVYWeON8YPjrKoobhlK0jIdsv3QqkuWIiIiIU4Vup4aLyz20mimkFLh5ZxsbWwMszrexONc6duHZBsMM91Z3cX91D/1eA4vzLfSP+QbFiOMEUpU9RZhvkiMV2YnBnBV1AUY+VVGGjtuQcQm0tV3w80AeE7hqfL49Qxck1E+sAbjjdMD92HxuFE1D5btnBYXFywDB5xnqJ8vHXlK4iRgr71iAmDpptavg2U6mRkj1puG82zZ581OMvVL5dxHJckRERMQJQbddR305weJcC9dubuL6zQ2kqYSUAguzTTwGo98DYX8wxu17O3j96hrOn+ui2UgiWY6YHpYH8ugS9GiebA4C+UZAbpcwijIRS5kYhZhHsxC5jSKpmWx9xrahOJk2bQc/Vrpo0yeYUjpcvVTPJ6WO39nMzRJlk8CESDht7NMZILOiLV8NpqgYQgfmoCvqVJB4J4az24wb7eMBiS1XkfkYeJSRh1Wsq8Zui0RlOSIiIuJUIU1zu0W9nmBmo45upw4hBGpp1aPeo4WUAo1agk67hmYjPfaRPCKOGbh3tTIWr2DiofEgA4yMciLHoiwAgEiBtAnUOig+P0zNtpn6AqAoDaVsccL5Va5EHmemnBJptMWEV8dj3pZs8/XxQJkGbR1eht0McBeFE5qOHatSfwWNVbP1p98V5eGVC6neQrnthkR4HXhd6ucAouwWnohIliMiIiJOGKQQWJhrIUkkBID+TKMIj3qM0GykOLfUQauZotOuodepH/WQIk4ShBc6rgTuaTVEWTAllso4KagBS5BkCp22gVoPUCMINUJBaLVXl/XJFc9S1I2D5kTNcCuERy5D6b2pXzUGQOHZdNFWqR9uAyFrindOTEMBvfmGJuRbGajfSqI64ZyAsY48rE8ZD2/jYIhkOSIiIuKEQUrx/7N3rzGyXOW98P+rqqv63nOfPTP7hu1gjkkgtsEhhPMmghwc8+Io0iHZCRwJJcIggSNHyUEkij8gna1jJJCP+GDF4gNSiIQOcgJIVhBEeREkKOd9Azg2uYFj7O19v8zsufX9Umu9H7pW9arq6pme2X2d+f+kyfZ0V1XXhN0z//3Ms56FuZkU5mZSAAClVPtnLxQExGDm+A9A0rVxYjGLE4vZcd8KTSOz17jXzOSgOuu3XAS79nnGr/TN2b+d85XlAIkMlJOHaFXQmayhQ6bfttGVt4yAftA3W7B4TQJS+OE38rxuIzHnOOvQK417DFXeQxfp/P/DPCd0iN6xcJ/7V3o6Ro/QGfe/ibARO20j9P8D0QnhXX3Se99Sf/x/6MjIRjKHxLBMRDTFqrUWtnZq2NxuL6Kbm0khxwouHQXBhh/GGLiex+oFbTpp+dXJvSZqQECJBGC5ULbudW5PshDB6Dg/LJr3FN1opPNkr5szqpy6TcNfXBia6QyEFzEabSO6LUT1CMuhHmh0AisAWLoP2jhgrzAboieLHORXV/v8IyLYZXC/qvUd6mdOdJ8YlomIpli11sL1WyW8dmkbp1bycB2bYZmOCKPVQaATFHsdG4Rro6qqA6YImnA7p/jHKcuBgICyEhCqPTJOKS/47/AOfC1A6K2vzZffI8zrKrFeuAcgtD222U8d2gVPf/223zKhOttum2E4umlKEJbNGeyRe+s5lSPqENXz4Pp7PBf6R8ywwvLgrs2w7GvUm9jdLGFns4h0NoWZ+Ryyhcy4b4uIIkT+FKy5hYFcS9WLUI1doFUbyPXGRSkFKXUrxmSqNzzU6i20WhKpVKK94G/CRt3RhLHc9gI8c3xaV1iO+TtkJYx+ZwmlZBAepQQaTYlmw4PlZOGoDGw7DYgmhEpAySaEaAGyCaUsCJhtCMqvXAuEx8mZlWPznlRwD+F79/uiLbtTMQY6C9tC85XN8A+/fUFvOuK/jj7HXECnt7nuNeO5Z3U87v+9B3yfqh4L8/Rrx7/I4PVz7xwddzClnQr+7Yc/xb9+/z9w8q4TeMs77sU9P3tm3LdFRBH2qV+CffddA7mWvP0TyI1/hypdH8j1xiGdSmBlOQfXTWAmn0Q244z7lmLtFuu4vl5GqdzA6nIOq8tZ2En+CKLehJuDSM0gFD6NiqUCjMVk7T9VsNmGrrxa7ccsF8pyUW8AW5s1bBWryFizmJ2ZRT6RBbwaIOsQSraryu07gLJsCCUQjKaDaIfQrrAsIfxVA+b9CjNIKwkVVMD1IWZ1VRhfS0RogZ5tVKEn8J/H5pSN2OcthCd+jJHV3w6o/E7lK+2U8e8v/BTf+sr38JZfvBdLa/MMy0QTyDr1S7Dv+fkBXcyBKt2Y6rCcSiawtpzDymIWwhKY1GLtbqmOS1d3sLFZhe3PhU4xLNNeknkgGQnLBgEBpdsNhBX57/a0B2U5fk9yBspOo14BNm/v4sruDmbdLBw5i2wiCyuYzdyC0GHV/7O9bNavKuvZx6H3mYTw2wqEDuwQ/mNGNVkBQnlQUrdNxLRBdAVlszXDqDKrlrHY75CtEsO01yQM44+xEwzLB5LJpXH3fafwSw8/gDP3rmHhxOy4b4mIYsibP4J3pTyQa6lmCWLuHtjZ5YOf26pCla63g7bXGMj9HEb756SAZQnslhrYLdbRaHqYyScxk09OzDbY2YyLlaUcsmkH87NpJJz+fkjRMRbd7CL4tbq5QK3z+/52ZVdXeQEFD0JZ7WCpWlDwkBAeCm4RJ3K3kUvsItPYgb2bhPDqEF6tPULOPz7UXhHa8c6cQtE+RsGsLOuQrSBCiwPRbgkxdxLcYyJbkCj1YkMAwRbb+n6CfmwR+dNYABjp6gj3DE9gZXqUZLOvwxiWfbmZDN789jdi+eQi8jMZLK7OjfuWiCiGd+X/wEv9dCDXsmbvgrVwL0Rm6cDnquom5LXvQ1Y3ocYYlk07xTouXtlBqdzA2VMzyKSdiQnLhZyLs6cKaDYlshkHrjMZ90WTS0kPyhytpsOfpRfGWX4YVX43goLQ0yOUaPcAo91WAVgQwoKLBuaSW8gWbsCxJZJ1B9aW1VnMBwUR9AIbwdacZqEnUYSCb3vtQLSiqnQgDgKr7mPeJ6Sac5KV1xkxp4NwXJ+0iP4jYq/yLYMygL4LHQzLvlQmidP3rOD0PSvjvhUi2oPafBny5tWBXEu4OYjFN0Pk1g5+sp2EyK1CZE8Azj6LgVs1qFZ16BXoZtNDudLEbqmBer0FKSfnh2Em7SCTnsx+appUnl8VhhGA9Yxi2c6RfguEEBLKXPgm/DYI5QHCa5/nCSRQh5Mowspst9+PTbQ/QqHT3yJbn6+igdRfOBdUm2PmHPdlj/dnEHp1ZTxuVnSkPSXUq0198Vr7HwOGZSI6xmTxKnDtH6G2Lxz8ZAHAsmGdete+PxvV1muQW69AlW4c6j77NZNP4uypAmp1D0vzaTis3tI0k8amEkqHVPi/Ou9UWlVX64EfMiEBWO2ZyZ5fbfXqEKoZU9mNbI0szQ1Joi0Oekyb2ZNsHtfHNsvKn33cq8Ksnw+q2bbxuDK+TiDoa6ahYVgmomNLFa9CVjfamwMckMgswjr5Ttgn3wkkC3seKy9/D6p6e/hhudCehiGlQiJhwZmQFgyiQ1HSbz9QxtQL0X5M+pVWyzaqqZ02BGEZ1V8h2rvlQbWrydFd8wCjkouu9oqgpcEyp1CY7RkwwrHRprH3Fxe/wK/r+cjoOL0zoTk1g0F56BiWiej48upQXv2QJyuo4jXInQsQbn7vI5WEmDkLy4nZ9ll5UJUNqOoG0Kwc8l7aEraFhG2h5UmUyk2Uyg04joVcxp2YkXKep1AqN1CqNGDbFvLZybk3mjBB+4FfzYUxAUIHxGA3aHNDEh2SjYCtACEllGy0K8tdIdXYGCRUMTbH1smYRYd6cobuEfZD+b4dUGbgNUfi6eq0vsZem4cMeVMPCjAsExEdgmpWIDf/A6q+A2HvHfZEdgXW3M8Aqw91P+nVIW++BHnzJag7DMtasylx63YZl68Vkcs6OL1amJhA2vIk1jcruHy9iHQygdNr+Ym5N5owXrNdQQ5aEMyKsA6musKrQ7EwWjOMHl4hATQhvKa/C14kYEY3DQkt1lPGBAn/cygANsJVZNE5FvtVe42WDXPEXBD2VfueFcLX0/cd9xgNDcMyEdFhtGpQO69D7by+76H2mV+BtfxWWEs/1/WcatWgatsQu5eAZvdIPKV/FS3j+izjeZ5sbwJyq4TZQhILs+m+zhuF4N5ulpDLOpifS437lmhS6ZFpepe7YMGeDqn6cYSCcqd7wgKEak/P0BVp2egxLkz1eH/5FeDoQj4929hs39D3vFcvcnC+uZmKDsDoXDPUphF3b73ul4aBYZmIaMhU6Rq869+HLF6JexZo1WEtvxVY/NnuZ5tlqJ3XIbdfB1rVvl7PcWwsLWQhJZBOt3f2mxSJhIXFhQzeKBWSyQRm8wzL1IPeZKRr72RpBOLIjnehAKk6XRSyCXj1Ts9yUNXVgdTqrJdDtA0CnRAenWEcDcbKvDdjDnS0PzlUGTbOUWa12OyH1qE6JiSb7SaTtjnJEcGwTEQ0ZKp4Daq+CyS6g6GwXVgn7od14n6IzDLCozUUVPU2vCsJiNL19vi5PjgJC8sLGczkXdiWhaQ7ORuAJGwLS/MZFHJJWJaYqHujCWMl/MAsIoHUmBQhEgj3FavO58IInF6zvSbAqyO0OE6H3WiFWD8XhGEjjAYBXvcw6xYKGAFbGK8TN/lCh3EvHMoV0BkTp4+3OtfpGlVnvE4Q4GnQGJaJiIZMNcuxLRYAoBJJiNwaVG0HiFsAKJsQyRmIuTdC6GsoCVXbhqpvA61a1ymWJZBOJZBOJVBveChXm9jcqSGdSiCTdsY6JcO8N6K9xVRSQ4E20ttrbgCiZxTr6+h2Jq8V7gsOLZIzQnGwex7C1wf81zRONau5Ap1zQ1Ves0XEeE1lPBc81WPxYS9CMCgPGb9bERGNk/Qgd15v/yCPm6phOxCp2faIOtv/lu01Idf/FXL9X6FiwrKpXGng6s0SNm5XsHYij7UTOTg5d/BfB9GgeS2jZaJXIFSdMXLBojy/Im31CMV6wkYoAEvjfNsIoLqVwpyEYUzK2GsDkK5WChudFpJI/3NohnPc4kNOvhgnhmUionGSLaidi/B2LsY+LbInYN/9a7BO/iJEZqH9YKsGKA9q9xJUZcM4uvsHaanSxJXrRVy4tA1hCczPppBnWKZpoPywbOk5w8bmHO0D2kE5OhPZShjn+MeZ1VkVaa0I+orb22J3QrA5xk2XrPXoOrRfp2dg9q+nZKTPGQjvxofONYJgH+3RNgI+K8hjwbBMRDTJWlWorZ/Cu/RdCDfXfkxJqGYFYuktsOfeGByqStehilegqreDx3IZB6dW80i5NlaXckglJ+fbfrnaxPZODTvFOmYLKczNpNieQQZj4oSeSKFk53EAQQg2A6lS7R5lYYyaM8fFBcFUn69fK+HnUBWzcYm5m55l5FUVE36N58yAHrRnxE270M/HtYMoI5Cb4Z5V5lHhdyUiogmmWlXIzVcgKht+JQuA5cBaeBOs5bdApBeCY+WNFyBb1VBYzmZcnFrJY2k+g3QqgdQEhdFKpYkrN4q4fK2Iu07PIJVkLzNF+dVkvZBOep3FeKECrPCryf6Ei+h4ONkygrau8hoL70RkEV1c9RfoDuU9d89TnXtTgLF7SveiP6UAocKtyeY/EmIvLzvn0NDxuxIR0STzmlCVdajKeucxOwmRWYSAgHBywcMitQCRW4MwdiVM+R9QEmiUoZql9visCSCVQqslUW+00GpJSFbKyBQEYnPqhAwH5CiFTgANjpedvmazF1lIQPmzmIOKrXGN4CX060THxpnVYdE5zChWh3qjlTJaQ4w+ZfP1gvuIWyQY+n8O2nOl9/j/BQ0MwzIR0bRRHtTORUgIqNS/dx63XYi5u2Av3Nt9jmxB3X4Z8vbL7a21J0A27eDkSh6ZtIOFuTQyrCqTSVeU9T/+zGpr1zo/CXiqE4Z19dbzNyIJepT1bGUjPAchWbdaqM7jZnU36Dk2e6CNlolg6+voF2JUkaMzokOL/hC+jtqrxQNGa8b4ptscF/zOREQ0baQHuXMRKF2FMBY8WSffCfvML8OK29zEa8ATNlC6BkxIWM6kHZxKJrC6nINtCdg2q2NksHRY9n8TYjuA1WNxarBoTwG2C9gWIP2w6TXQmVVsoT3bOLLwLqhCmz3Mertso7JsVqs1YRwby7g3HdSD0K/P8ectmzsTRl/HFCx4ZFAeBYZlIqKp4/dkymZ4zXzperty7MVs5yubUMUrfe8COAqWJWBZgj+IKJ70ECxuC+3Up3t1zQqwOSXCrAD7fwqzfSO68A6d1o1gULN+HWNhXnDNaEg1K9NxzHNU5LV0i4l5fSNc00Tg9ygioiNCla5DyiZw++WYJyVUdaO9kyDRNJCtdl60EwiPXjPDpn7cAiyzUgyEJkaYrReafix6bNBrbD7vC0J7ZIRdaP5ylNEnrSvTiIbi6NQMLt6bJAzLRERHhKreDk3C6MlKtBcJJpIwq2LKq/sznHv90B+eZkui1Wq/biJhIWFbvdc20fGgdGXZbIUwR0wYH8GEDMtY5Ce7j1fovUAPQLjf2DgnYG5YYt7SXi0T5sxm/yNY1BdaDWjcE00ShmUiomNGuHmIuXtgzd0DiPaPAdWqQG29Crn1as+tuYdFKWBrp4b12xVIqbC0kMHSfIY9zMee2d4Q+bsg/GkQ+nm/yByahBGMi0P7SaHPi06wMFs50Kk0m+eYolXk/VomzJYL/XWZu/UFOwX6rzuGf6zS3hiWiYiOm2QB1uJ9sM/8CmAnAbSr0hICqngNauRhWWFru4bXLm3D8yQsf6dB2+61YIqOBb1BSGi0GowFdcaCO/h/COHv6ud1/jTPCXbh88wXMRboGe0RwesY/cl6YxQZDbR7VYNVJLQb0y5C/cxgUJ5QDMtERMdMs17H7q1bqDZeQTqTRjbjImnVATcLa+FNUM3T/pHSb+3YBJqV4d2QAFzXRi7rwvMkkq4NwR4MAhAaExdUfPWGIjCqssII17ITlEMtDWbgjk6REOH/NkfGdbVFxIyui535bFacdQtIryq0ivxpVr1jRFtBaKgYlomIjpnq7iauXv0BrhZ/jOWlHE6t5LG4NAuRWYZ18h1BtRnSg7z1I8hbP4IaYlgWEJibScG2BKRSmMknYVsMAoROKNRBM1jc57PsyFxiv09ZV4CDBX7S6Fe2wmE4OhkjCOBxC/eMxXp7MhfwmQ8b1wstPow8JoBQFboL3x+jxLBMRHTM1EvbWH/1Vbz609vwTs1g9mcWMO/dDfsN74W1+LMQ2WUAgPIaQLMMtXsJqrZlFL/8X2MP6FfGQgCzhSRmC8mBXI+OCr0gzuoEZQBBiA3NKjbHsBlhOaDP1xuI+HOKg+f8483NSJSHrsCrZzXvN984tHAwUt3uqlTHPRbTAkJjw7BMRHTMpJIJrCy3t8lemEsjl3WBVg1y66eA7UC4ef9IBdUsw1r6OYj5zq6AqngNavciVPnWGO6ejg3dk6ynYphzlHWoVRLwmuj0BfuV5WB3PE112jSA8PbXQCdYR+ccB10RkUr0Xjvrhb6GaNjV9xmdDR0n+jr9nEPDwLBMRHTMpJIJrC5lMVdIwXVtpJI2VKsGbP0UXuUWhOX/aBAJWMs/B2vpLRDZE8H53o0XIJtlhmUaMguABLyW/6mxo17QeuF1WiyCUW8qPqTqP5UEVAvtsC2M4m+kHQNAp7od2VSk50xl47wgYMdsciLQqVLHkjGvo6vaDMujxrBMRHTMJBIWcgkXuSxQq7dQqTaxW2wgnaoildrs9AtbDkTuBFSrGqpwCScLkV+DaNWA+k57oxMZs2sg0R0x2iYAdAfFmB5mGOHXnKbRVY012iP088FmJgBCrRMHvGUzmO8VbJXap0gc+dp6Lg6kYWNYJiI6xnaKdVy/VUal2sTqcg6ry1nYSf9Hg/Igdy61f2CnZoJzhJODINtGxAAAIABJREFUmHkD7MIZyI1/Bzb+HarOsEwDpmS7+monw6FTT7sAjP7jyHm6JUPFLLIz+5x1u0UwJg7oBGzjeXP8W1eLR+jFO4sMY2cm68eF34fdq50jro+ZxoVhmYjoGNstNnDxyg62dmqwbYHFuTRSep2dklC7l+AVr4TOsU//Z9hL/wVi5gzgNeFtXwC4jTYNWhCWXbRbJrxO+A3mJ9vtiRhmq4MEICQgVfhYoBOuhYXwdtaRcXEC4QV+QVDeb4Gf599rXFAOfXEMw1Ok72WW5XIZn/70p/HII49gfn4elmXhS1/6UuyxP/7xj/HII48gn89jYWEBH/7wh7GxsRF77Be/+EXcd999SKfTuPfee/HMM88c7ishoqHh+//oyudcnFrN464zs1iYSyORiPxY0DuhGR+qdAPy1j9D3ngREALWyttgv+G/tD/OvgfWwn+CSBYOdT/1hodbGxX8x2ubuHqjiFKlMYCvkvo1We91Y85xsBmI3gJbb2+tF/oZ85Vly5izbFR5of9TGo9HNgRRXudD34OwOx/BNtle/EfcOaEQrivYPZ43v/a+jqNR6Dssr6+v4/z583j55Zdx//33A0Ds0PgrV67gl3/5l/Haa6/hM5/5DD75yU/iG9/4Bt773vei2Qz/mu4LX/gCPvrRj+Itb3kLnnnmGbzzne/EE088gc9+9rN3+GUR0SDx/X90FfJJnD05g3vvmsPyQgaus/+PBVW6Ae/6D+Fd/X8BJWGv/QLsex5pf9z9MKzFNwPJmX2vE6deb+HGegk/efU2Ll8rolRie8coTdR7XaBTGdY78slWZwGfZSO0TXQoKLf88GpuTGIsANQV6uhugKEP83kjnJvhva9zzF7rmOfiNjmJuwYX941N320Ya2truHHjBpaXl/HCCy/goYceij3uqaeeQrVaxYsvvohTp04BAH7hF34B733ve/Hnf/7n+OhHPwoAqFarePLJJ/Hoo4/iueeeAwB85CMfgZQS58+fx8c+9jHMzs7e6ddHRAPA9//RlUklkEkdrCNP1beB+jZQ24LKLANuDiK96D/ZgsiegMitAq1aezOTVqXvXzlLpVBveChVmijkWmh53P53lCbvva7DstkLrMXMSTYryqENPqLHG3OaAXQWCsbNVDb7pXv1Iu93jggH4ND8ZXNhoQj/KSKf01j0XVl2XRfLy/6g+j2+6X31q1/Fo48+Grx5AOBXf/VXce+99wZvFAD4zne+g83NTXziE58Inf/444+jXC7jG9/4Rt9fBBENF9//FEe1alDbr8K79HfwXvtW++PC/wPVKMJafDOs0++CNfsGwOo/jCfdBFaWsrjvngWcXssjn3WH9wVQl4l7r0uvPUdZL+izEkYVWFecpfG5EaiF8Hf4S8S3MJhV664gDgShWHqdj9gFg/udo6vN0Y1QlHFNIByozQo2p2CM20C3hrl69SrW19fx9re/veu5hx56CC+++GLwuf7v6LEPPvggLMvCSy+9NMhbI6Ih4/v/GPLqkFuvQpph+fVOWLZPvQti5mw7rPQpmbSxspTDf/qZBZxeLSCXY1ieNCN9rysdlvWsZX8KRdBL74UDbxAujZ5fK+H3/EYvLjvXiZubHITpSKvFXsE17hyzN1qHdrN3Oi7g68qz7tGmsRroNIzr168DAFZXV7ueW11dxebmJprNJhzHwfXr12HbNhYXF0PHua6LhYUFXLt2bZC3RkRDxvf/dGt5EsVSA6VyA4mEjXzORS7j7H2Sku1Wi1at85iVgCpdg9x6FSJZgHALsFffBqXDjteAqqxDVW4BrXrXJS0hYDkCTh+90zQeo32vG3OWg2ALdLa4NmYtd1VgzRaG6LbZqvN8zz5gEfPcYdoh9KJAGPdnjKQL7cwXM0lj33nMNGwDDcvVahUAkEwmu55LpVLBMY7joFqtwnXjKwbJZDK4FhFNB77/p1uzKbF+u4LL13aRzbg4vZbfPyzHURJq5zJkqw6RW4HIn4R19t3BroCqUYS88U+QjRJUTFimyTfS97qefawDZMsDbKfTjqEX82GfVgXhh2UoBOPg9GNBW0e0ZzkyTu7QdECPVK+VUU0OJnLo49SeXw6N1kDDcjqdBgDU693fAGu1WuiYdDqNRiN+JFCtVguOI6LpwPf/dPOkQrHcwM3bFcw0PCzOH/J/AyWhyjegyjcg6juwc2uw5t8IJNrXE/UdqMo6xM5FKK8ByEb71+w97snzJKRUsG0LCVvETmag0Rrpez3YAEQaUy4SRkuD36awZ7A0Qqkyt/cz+oOB9rWU+fdLH3OHf+cU0Nm+OkpEPrzu4/h3fuwGGpb1r2T0r2hM169fx8LCAhzHCY71PA8bGxuhX880Gg1sbm5ibW2t5+t86lOfwsxMeCzRuXPncO7cuUF8GXTMPPfcc6EFKQCws7MzpruZXqN6/z/5lddQSIe/dX3gHUv4wDuWBvFlHFtOwsLyQqa9WV8ygZlCd9XwwBpFyNs/aVftbL+66PdoWqsPQZRvQm6/BrVzMfb03WIdt7eqKFebWJxLY3E+g6Tba+e0/X31H9fx1X9cD79GtXXo6x1Xo3qv/9HnvoqZfApmG8PvPPI2fPD/fgjw/AAet+Cua8pFC53xbMI4BuhUfYF2lTl6F4PaPGS/0G1Utc0NT4L2DLpT//tbL+Ar33oh9NhOqb/fYg40LJ88eRJLS0v4wQ9+0PXc97///WBmIwA88MADAIAf/OAHeN/73hc8/sMf/hBSytCxUZ/97GeD84nuVNw/tF588UW8613vGtMdTadRvf//5+/cjZ8/mxvgnRPQDstLCxnM5JOwLAH3DkKppupFYOMn8HYuBQFAuDlYq2+DtfpQu2/Zq8PrFZZLDVy8uovbW1XIN8yhkEveUViO+0fVjy6W8O7/wQWlBzGq9/r/+u//FQ+++UwnMOp2BdkCZNPv6xXhcAkYjxmL7YB21dicWRxUeyWCXfmi22rvO/2iD/q6vXb9Cxb5wRg913WRO7sHwgcfeRs++MjbQo/9048v46H/9rl9zx34CooPfOAD+Ou//mtcudLZHvXb3/42XnnlFfzWb/1W8Nh73vMezM/P49lnnw2d/+yzzyKbzeL973//oG+NiIaM7//pZVkCqWQChXwSjmOjXGni2s0StnfraDa9/S8QRzah6ttQpWtQxSvtj9I1qPJNqOrtdkDILMNa+jmI/EnAyYROT9gCqaSNTDoBx7F67zBMIzea97qxgA8Ij1WLzliO7sYXiMwp7loIaH4eXSzonycO8xH5GszXjn6E7hOd44PHGZTH7UCV5WeeeQbb29vB6tXnn38ely5dAgA88cQTKBQK+NM//VP85V/+Jd797nfjD/7gD1AsFvG5z30Ob33rW/F7v/d7wbVSqRTOnz+Pxx9/HOfOncPDDz+M733ve/jyl7+Mp556ihsSEE0Yvv+Pj1KlgWs3Sri5UcbJlTxOruTgOHdeaQYA1WqPm0OrBmSWIDKLsObugbz1L5Dr/9LexMRXyCVxZq2A5YUsZgpJuAO6B9rbRL3XFdoTLHRfskB7EoYNQFrtFgvZAsweZMCYJiHaiwFDIdmoFgd/6kV/QCig3lEbhDReV+59HXPb7uALjasw0zgcKCw//fTTuHix/esyIQS+/vWv42tf+xqEEPjwhz+MQqGAU6dO4e/+7u/wR3/0R/iTP/kTJJNJPProo3j66aeDHibt4x//OBzHwdNPP43nn38eZ86cwec//3k88cQTg/sKiWgg+P4/Pip+VfnVS1tIJCwszKVRGFTni1eH2r4Ab/sCrOW3wpr7GdhnfgWQLajiZajyreDQfD6FfC4JjgUYrcl6rxsj14TR0yssQHjt6Ri6HcPyF/7ptoagEm2jvRBQoruybL6OvzlI0Pbhzzs+zK80QqF3n77nYLMSvcBPt5ewqjwpDhSWL1y40Ndxb37zm/Gtb32rr2Mfe+wxPPbYYwe5DSIaA77/j49sxsWp1TySro3V5RzSyYEubwmo6ibkrX9uB+h6EdbCmyFm7+48X7oBtXu53dtMIzMx73XLCgdVGQmSQXuGsVFJqKUC/n/rNiKzlzkaXkX79fR/h9o8DtmGBMQEbdUjDKvIB0PyJBnOd0AiIppauayDU6t5LM6nkU45SKWGFJZr7bCsdi+1g/LifbCyJ4Ln5c2XIL0aw/JxJRLt3ezMne6k1w7Hwgi2wj8G/pbXXf3McS0akQBs7q6nr6t3+DvUbzbMGc0x96PbPYQdfh3+EmUiMSwTEVGI69hwHRsz+QGMj9tLswLVrECVb0GkFyHUGyHszgYWIjUDkVuFqu2iVtxGrbgNCy2k3ASSSfYvHzuh/l+g01esq8XmwWZAVZ1joucEx5ozlfViQP3fB0iw0V36ouPizOuHntNfG9svJhHDMhERjZmCLF4Grvx/kLdfDh4VdgqicAYquYrbP/khrl+5CVeVsLKUxYml7Bjvl0ZCj30L2i3M0W7RMKkXw/nV46BNw5iWsV8vcFcV2qwO90sagVm/ZkRotz5zUxVjPN4gNkOhgWFYJiKi8VISavcKvOL1UI+nvfYLsM++Gyp5Cps/uYFXrv4DMnIHqWSCYfk4kF77A0AQXHUIjtuaGnYk1xrzi/XxwXFmCNahViKYxRxc8zCBVS8kjAZlfW1d1Y72Q5tzoBmUJwnDMhERxVJKYafYwG6xDgVgJu+ikGtvWjJwsgUgvJueKt+EvP1jiNQuZgppnPn5/4xkcwP5fBlAefD3QJNH9ycLhBfvmUG4faARbiNh2mzTUGifG7uIzliMF1cR7v+muxf2Re89ONQKn8e5yhOJYZmIiGJJBWxuV3Hx6i6UUjh7cga5rAtrRD/MVfkG5PUmrNQlLM2dRPaXHoZV20B650fA7r+M5B5onPwJFZY/ik62/NYMPebNmH4hLLQrxiJc1RX+vGIlAWGMjgvalc1+ZXNSxmHDsui8ZsCY7WzOXO46Tt8PTRqGZSIiiqeAesNDsVSHlEC90brjnX8P9PK1bajaNkRyA/kzS5g9expozMG7tgXZugm0qlCtWnvrYzp6gokRxoI43Q+szEkVym+fiPQLwzxf+Av2IuPZgkV1tvGi+8xFjmVWsaPbZptfkF5wqNtBouGYYXkSMSwTEVEsIYD52RTuPjMLpYD52fRwWjD2obwG1PZr8ISAcAsQ6XnYd/8a5NYrwNarUJX1kd8TjYJoV5Jbe1R5zf7eYMGcOdkCnb7naJ9yaBZzpBotDjBtRRmVY3Nzk6771M/r1zUXL+r/c8hNUGioGJaJiCiWZQnMz6aRz7bHuTkJG9Y4fk3s1SG3X4MoXoVYeBPstV+Etfp24FISsrLBsHxUCfitF36ItexIiPXbGIQFwJ/BDOX3OZsblchOULaifcnmYjyjCn2gwGr0SMe1cAjjPpV/j+aoOP8SnUkYNGkYlomIqCcnYcFJWGg0PRQrDZTLDaRTCWQzLtJD2qyki5LBTGaUb0IVr0JllwAhIGbvhpWa7Rxb24KqbEDVd0ZzbzRkZjuD2ffrb+xh/uMtaNMAwov8jI+u7opoQDWr1P3S99Mr6BqzmkNznM1zubhvkjEsExHRvmp1DzdulXD5ehHLCxmcWs2PLiybqpuQ6/8MVbkJkV2FtXgf4OaDp9Xmy5A3X2JYPip0S4S5i1/QEywQWjAHy5/KpjoLAbXYRXs9FuMdeIFfj8V6Xdc0+5qBoKrN2coTj2GZiIj21Wx62Nyu4fK1XQgAi3PpsdyHrG3Dq2xBqp/Aufu9cFcehL3wpuB5DwqieA3YvQKolv9r/BGuSqTBMqu1eu6yBbTjiwDgh2IBv/3C73PWYblrnFz02lb4NUIbmBzkHveoLJvtHqE5y+YGKxaD8gRjWCYion2lkgmsLmf9RX9p5LLu/icNQbnSxO3tGrZ26liUP8GSSiG7c6FzQKsOUTgDOzULtXMRaud1qEZpLPdKd8hsU9ATKyw9xUIaUzL8oBn0G+tJE+YCvh4vEEzUiDjIAr9eVeXQtc2qsTln2ZgjTROLYZmIiPaVTNpYWcphbiYFx7GRcsfz46NcbeLqjSIuXN7Bz6gfI40SUrudnmVr4U2wln8eVvYE5JV/gFe5BTAsTyc9NSIYIWehHVv0xAmFcPuCEZ7hL/ozJ07EXT+2NUOf36dgkkXo4p377NowRU/d0JXtuPNpkjAsExHRvhK2hUTGQjbjjPU+LCFg2wJOwoLtlYHydSh3O3heJQtQM2ch0vNAsgAxezeQSAO1bfYxTxsBhBblBRuM+KPgzC2sg55gY+GfMiq2oe2xRR8B9QCtO72q1321/8TtJEiThmGZiIimRibt4ORKHrmMi7mZFNLpcHhX5ZuQN/4JqnQdIjkDe+VtUJV1yPV/Y1ieOkY1FogJn3q+cfQ8yzjV3JnPnKO8R+U4FKzvQGjyRcwCv1DAN2dA06RhWCYioqmRzTjIZBycPJHvFAgNqnwTqnwLIjUL++6HYa2+Daq6BVXbBjb+bSz3TIcUqgr3EGxEEjlJ2Aj3CfublejWjV7hNFjg53U/dyCi049sblqiXzuYy+wBsBFUyGkiMSwTEdGB7Jbq2N6po9ZoYbaQwlwhBccZ3WYK+7d4KiivDrl9Abj8DxC22971766HoUpX23Oaa9t7XYAmgQLC21rDCM5mxVhFTpL+NDlzyoRxPLD/tIuDLPCL3rSKew0juKvoAj+OjJt0DMtERHQgO8UGLl7dwU6xjrtOzyKbcUYalvvib5Eta1sQhTOw5u+FtfYQ5LXvw2uUAYblyRearWxsJ60rtkH/cqTyrBSAFjqL5/RIOeFPyOgxAQNA12LBw9yziGxpHbvALzq9g2F5kjEsExHRgUhPot7wUKt7aLbkZI4xlq32Tn6VjfZU25kzsJIzEOlFiPwa4NWARhkQ5XHfKe0ruvOe+YkfNkOL7MwqdK8NRuJ284MxeeOw4dUP5cHLmO0VRv81FLpmPNPEYlgmIqIDKeSTOHtqBidqLSzMpeEmJvsHvqptQd761/YIOduFtfAmIH8S8vbLgLUx7tujXoL2BBsQ0gjExvQL/Xyw2M8YJwf/+K7+Y91P3ON1Vdw5B7nvmLnJZm81d+ubOgzLRER0IIV8EtmMA6UA2xKw7ckPy6pRgtp8GdbpX4Z9+v8CnBSU14CwXhr37VEvwdQKYyQcEOljthHuXTYrtn7olV7kmok+FvjparTRI905KPJYtI86Mm0jbgc/BuWpwrBMREQHYlsCtnXYBVCDs1uqo1hqQEqFfC6JQs6FZcWEEH+bZNWqQ5WuQW6+DJGeh3CyEIv3Afg/I7936oOCX+U1Rr6ZoTWoNOtga4bUaIDVn5qL7My/K8KoZJuvExdqo4/FbEgSWtwXCfuQfv80e5WnBcMyERFNHaWAre0aLl3bRbMlcfZkAdm0Ex+WO2dB7V6GbNUgcqsQhdOwTjwI4Iujum06iNACP6C7ImsslgvaGqzux61I1FHRMItOxRfmBI1D3XRnVFzn4j3ujRXmacGwTEREh6KUQstTaLUkhAASCQuJkbVkKFTrLWzu1NBsSizNZyD7WGmoKutQlXWI+g7s3CpEbmUE90qHozphOZgXGFncp8Op2Qcc/D2Im6msR8tFF/3pHmhEKr57/Z2Kqygr40/zMKv73mhqMCwTEdGhNFsSG5tVrG9WkHRtLM1nsDCXHtGrC8zNpHD36Vl4nsTCXBq2fYAqXaMEefsnkLcuDO8W6c6E5isD8dVaHaijky9E5DrmgjoBWDa6x7jokGsG273mMZuzk6PbafcK0ubzrCpPC4ZlIiI6lFZLYn2zglcubCGfdeEk7JGFZSGAuZkUshkXUAqOY8O2+q9qq2YZuP0y5PX6EO+S7kgoBPt/KM+oFiO8EC/UrmE8r6T/ubkBiIoUj412j+hM5LjfWAgg2CXQ3DxF35sZloPpGsbiQ4blqcKwTEREhyKEQNKxkcs4yKQTI9+YxHVsuM4hFxrKFlSjCFUtDfamaHBCC+70XGRlfPhhM5h8Ab8lw6zymsf7C+v2flF0gnd0YV6EMq9t3G/onqP3yqryNGJYJiKiQ3ESFpYWMnBcG27Cwkw+Oe5boiPFQrDtdGhnPN0eYQRPpRDMYjbbJ4Ktp3u1VBihNahGR68f949AfV2zGm2Fn++a5KF7pxmUpw3DMhERHUoiYWFhLj3CPuV47fykoJSCEML/GOst0SCY7RZApOVCV33j5ixHFtiFzol9oc5rBQv0ZKfNInaXPXPxoeg+TkWf525904xhmYiIplq90cLmdg1bOzVkMw7mZ9Mo5Nxx3xbdKeWhayc94e/WpyKV3faTxvPRKvI+7Q97BeLQ+XGH6ZAes+ufOfdZeegdvmmSMSwTEdFUqzc83Nwo47WL21hezMBxbIblI0EaYVmHTAvtUKrbHOB/biyaC+YYm+PbzPNjxI2mMyvVeoFgrF7hXLddGFVvc0dCmhoMy0REdMcaTQ+1egv1uodUKoF0MoFEghU0ugPKqCAL//Mg1EamTYjIIrrYXfZE90OhkRiRcN11PzJyfI/j6MhhWCYiojtWrjRx41YZtzYrWF3KYnU5h/yIqrtJ18aJxSxcx0Y24yCfZVX5yFHwF/j5leagQhuz6C94PnqNmOpvaKay3uBEoKuKrCJhOrjEHv8gNM8JbaPNgD1tGJaJiOiOlatNXLlRxE8vbgFKYbaQGmFYTmBlKYsTi5lggR8dNWaV2Vh4p/uAQ4v+/HaL0Kxj3bphBmbzGKOnOOh91k/5/cjmJim9XifuHC7wm3oMy0REdMcyqQROLGWhoLC0kEEyecj5x4fQHl3Lit2RI8yqb3SBnVm1jZuGoYOv0cscDatBT7HoHBtc3hj5prerDl7XqF4LIBTkQ/dnfA38uznVGJaJiOiOZTMuTq3ksTCbQibtIJ3ijxe6U3pBnuz0F0eDsbmIDjI82zjYUMTfuU9FA7ex4UgwB9lo6TDDdCgwm+eYLRyRNo+u82la8bsZERHdsaRrI+naAFLjvhU6KqJVWb37XVf/cCQAB9VltP8UxiLBrp7hSF+xPic0CQOd57tE+6ajxwrjdWlaMSwTERHRhDLbJxQgzQV+6PQG68f01AwzTEtj/nGoJUNvHBJpoRBGz7KSsev6um8z0uccujdzjBxNI4ZlIiIimkxm24VusQgFT/2Y0Z8cPGXsote5YDhoh9o2EA7TekFfz53/Ys7RQq0Z/tfAhadTi2GZiIgGRimgVG6gWG5AKSCfdZDLurCs0QSFSrWJYrmBesNDPusil3XhcN7zdFKeEY51YDXaI0Kfi04wDcIr0N12Efm8a/FddMRbP/3G5vFmCwc6rSOsKk81hmUiIhoYpRQ2d6q4fK0IKRVOr+WRSTsjC8u7pQYuX9vF9m4dp1fzcB2bYXlaKYnQ7OTgcT1TGZ2qr96wRG8cElR5Y0a76c91j3K0fcJ8vteOf1H6HLNSbZ7PrDzVGJaJiGhgFNoblNy6XYHnSczNpCD3+zX2AFVrLWxsVbF+u4JC3sWqF92IgqaHRPxivh6j2vSIuSCg7re4Ljod46DPxzHvN2ZcHU0lhmUiIhoYIYC5mRTuPjMLJRUW5tKwR1RVBoBCzsXZkwXMz6SCXf1oSgWL7PTMZOw9Oi52znJwMWPUm7m5yJ43cIhzIufRkcCwTEREA2MJgfnZNLIZF1AKrmvDskZXXSvkXCRdGy1PIenacF2G5emlF+LptgYbsGz/c689N9mcbBHMWTZHx/mEhfa8ZWPh3b4L9w55DjciOXIYlomIaKA6M5dHz3FsOKwmHw3BXGUjdCqzxQGRNok92h7i2in6arHwQ3ew1XafAVjBD9kMzEcBwzIRERFNIL//2BKdsBpUmc05y2aQ3as/2bimEOirrSK0WK/foKz75GMWF9JUYlgmIqKh0uuuGBvowIJKsT8vWXl+L7OuOuvxcjoE99Hy02/wVR6CXmhhd0/N2Pcc/o0/KhiWiYhoKGr1FrZ2atjeqSOXdTA3k0Iu6477tmhaKK9H6NTj2cxFf/pxY7e+0EK7yPzjLnFVYLMfOib4mgsKu85jz/JRwrBMRERDUat7uLFexoXLO1hZyiKRsBiW6QD0POVItVipdj+wMreRjgvDRstFMP+4R1gW8F8nsmGJ0r3RcSdFdwf0L6TviVn5yGBYJiKioVBKwfMUmk0Pnif3HSQwSFIp1Ose6o0WhBBIJRNjW3RIh6Ri5izrjUSCv0zRynM0LHddNOYxsU/VWT+log/0eM3DzGemScawTEREQ5FKJrCynIXrWMjnkshlnZG9ttdS2Nis4MZ6Ga5jY2UpixNL2ZG9Pg2KNPb4EABs4zFjpFvoec0MrWYVuoeuKnEfunqkWVE+ihiWiYhoKFJJG6tLWSwvZGAJMbItrwGg5UlsbFXxyutbyKQcJJM2w/I0UgqAZ7Q26DDs+VnZnI6xxwK/PXuIdeDuY45y54LGazIdH3UMy0RENBRCCNi2gD2G7gfbEijkkjh5Ioekm0Auw17pqSPMfmPdJmGOZYvu2qef0xVlFdM+EX0NHaJ1f/MBd+kTiLzOflts0zRiWCYioiPHTlhYmk8jnUrAtgSyXFg4hfzKLfTCPF35NadN6F37AAj/v3XFVwHxi/B8wj9Gb34SXUi4n2ArbH1vsvPadKQwLBMR0dC1WhLNloSUCk7CQsKxYA3x19e2JVDIJ1HIJ4f2GjRsRigOFvWpSCDV85Zh7JpnCKrScaTf1mEG8ODEPu9RV7Uj0zhYWD5SGJaJiGjodkt1rN+uolxtYnkhg6WFDKdT0D6ibRXGdIxgIxKg3T4Bo/1BBKeFqryxm/apSLUa+0/GiGNuisKgfOQwLBMR0dDtFBu4eHUHm9s1KKUwU0gyLNM+zLYKGEFZ9y77i+ziJlKY/2nuvBcqHutNTFRnV0C9aPAgkzGEfx+WDSblo4lhmYiIhs512huSeJ5COpUY6WQMmlbT0/O8AAAgAElEQVTRtgg/lAahWT8eXVi3V+sFwrv6heY2m20UB/n7aS4SpKOIYZmIiIaukE/i7MkC6kseZvJJuA6ryrQf3Y9szlH2F/ypyKI/YQHKb4HYc7c+Y1c/Ifxz/OO6Xucgt8qgfJQxLBMR0dDlsy7yY5pIoZSClApSApYlYFntsXY04YL2Cr/lIpht7FeSuxbV6f9NzckZ0WsaVeXQiDkZ8zpEbQzLRER0pFWqLdzermJzu4aF2RTmZ9PIZka3myAdkjJmKgePef5/mBuUwBj/Jozn9tq+Wvc8R8/xr93X/Zm902zDOMoYlomI6EgrV5u4eqOEC5e2cc/ZWaRSCYblqaAiC/x09Vcv6oss5AumYPSzW59fWTZbMoJz+g29shO6uZPfkcawTEREIyOlQrXWQrXWhGVZyKQTSCWH+6NIiPbcZdtub7ktWAGcDrETKUTMp0b7Ra9icug4YbRoxC0G7Gds3AFHy9FUY1gmIqKRabUk1jcruHazhFQygbUTOawsDfdHUSbtYG0lh0w6gbmZFDJp/uibHnG79iHcoqG3xO7Vpwyg04cc6UlWCoDX45w+6Guyqnyk8TsGERGNTNOTWL9dwSsXtpDPucikE1hZyg71NbNpB5lUAmvLOQghmGumSWjXPr+vWM9GDlopjI1Kes5H9nuYhRmU/baOg8xUDpgznvkX6qhjWCYiopFJ2BYW5tK4++ws0kkbMyPajpoheQoJo2ocTL0wFvhF5xvvFVxFXPVX3FnY5cSMY4NhmYiIRiaRsLC0kEE27cC2LbZE0B4sBHOVg4V5uo1CL6rzDxUIz0yOilv0t985++EEjGOD36WIiGhkbEuMdeYyTRFdWdbbUAfTMfxtpYXRggF0L+LrEjd3Oe7YPs+lY4NhmYiIiCaUuRFJdAGf0Z6hH9fhOhqC910AqF8ubgzcAV6HjiSGZSIiIppM5i5+5m59WnRRnwJg+ZXn8IH+sftViHtsMNL369BRxLBMRERjUa21UCw3UCo3UMi5yOeSSLr2/ifegWKpgWK5AU8q5LMuPMlfr08s5bUDatCO4Qdnc7Fe8Ljxv2PPnfVEH9nW3P46uKDxWuZxdFwwLBMR0VhUqk1cvV7E1ZtFnFkr4EzCGmpYVgrY2qnh0rVdNJsezpwsQEpONJhYwY59OvAaPcyhCRgxm4oEVWhzh75+/rdWRtjWepzPBX7HBsMyERGNRaPpYbtYx831MmbyKTSbh5l3ezCVWhOb21XUGx4W5tKQidGMrqPDMFovBGLCaaR/OHjY6zxnzmPuZ3ag3qTEbNfQfckcFXdsMSwTEdFYZNIOTq3kkXJtLC9mkU4Nf9vruZkU7jo9i5YnsTCXxs0K2zAmlvB/y6A8dCrLVkzlFwi3XAjjOHRGzvVTCRYAK8gUxbBMRERjkc04OLmSw/JCBq5rw3WGX7mbm0khm3agFOC6NtZrlaG/Jh2WsdOeAmDpwBqzWE/4M5mDHfoiu/oJC4DdX8+yQCeom4/TscWwTEREY5GwLSTSFpAe3Wu6jg3X6QQhwW39JpfuNVZxC/PiHvPDsVkJDlWFZftah6KDOcfFHUcMy0RERDSB/NaLoKJsTMOITsAAIov6/NOV0WscN3ruwLck/F3/7uwyNF0YlomIaOyUApT/a/V2QZFphNBjUV3MYj09OSPYNMQOH6cX/ak7XURqgT3Mxw/DMhERjVV7pFsVm9s1SKUwP5PG3GwKtsVAcqyZc5ZD4+DiFuuZvcqIWdSnn7/Dv1MMyscSwzIREY2VUgqbOzW8dmkbnqegzgAz+STD8rGnOh/K/1x57apxtI851JqhOmE5NGd5AH+f2K98LDEsExHR+PmFQ6kU1J32lfbB8yRqdQ87u/WhvxYdkvL/Ugjjc/2nUAj9NQlmIQu/5QLoBOfozOTQfxDti2GZiIjGSgiBuZkU7j4zCykV5mdTsOzhhpl6w8ON9TIuXNke6uvQgATzj3UPctycZf28FQnYXvi4fjcoIfIxLBMR0VjpzUJmC0l/nK6ANeQWjHrDw82NMl6/sjvU16FB2W+xntU5RggAtv+8MirN+jrD21KdjiaGZSIiGrt2OB5dtc9xbCzMprG2nANQHtnr0gEIY1OSrsV6ukc5OBihXuVQn3L0OBi7AvZ7L1zYd5wxLBMR0bGTdG2cWMriDaeaAG6O+3Yolu5Bjlmsp+x233JA9ybr6Rm60hwzAUNXnA9yH8HIODqOGJaJiOjYcRIWZgtJLC9mx30r1EtoxrIxGQMwplKYPcxxm45E+5P90XN6C+2+7kOfR8cVwzIRERFNKGMHPihAGv3HujVC6KqvriLvVwH2+5YPVChmVfk4Y1gmIiKiyWRuSKKii/rMIK0ryH7luPcFjeMOdCMHPJ6OEoZlIiKaGM2mh2KliVK5gXQygVzWRTrFH1XHUtBa4QfVuF37ukKsXui3RxjmYj06IH4HIiKiiVFreLhxq4zL13exOJfG6bUCw/KxpTrbXQsAKmaRXdyiu6ACHReYuViPDo7fgYiIaGI0mxLbuzVcvVGEALA0nxn3LdG4KNmpEAu9vfV+IVcv8pPx1eWgqrxfuwZRB8MyERFNjGTSxspSe0LF3EwKuaw75juisQn6kSWgRHz7hNmqEZrDbGPPvuSuHQBjb4AtGwSAYZmIiCZIyk1gZSmLuZkUnISFpMsfU8dXjznLAb+KHDeHGSI+44ZaNFQnTwfbY5ufWwAOOjWDjiJ+FyIioolh2wKZtINM2hn3rdC4hTYUMYJxz2pv3LQMhI/VnyuF2EAdWj/IlExtDMtEREQ0oYyWCqX7kc2d+SwjT0c2JRHCaN8wrmees+9rD+BLoKnHsExERESTSVeRdeuE8gD44TloubD952WksmxFdgE0r2kP/97pyGBYJiKiibRbqmN7p45qvYW5QhKzMym4DkPOsaGnYZh9yEHINXqVzZ384krBytj1L1gAyJIx9Y9hmYiIJtJusYGLV3extVPDXadnkEk7DMvHil8t1ttY6938zN5kYaMTfvXzhrh5y/ocoj4xLBMR0USSUqHZ8tBoemh5cs9N2eiI0n3IemFeMB0jOMCvPhvPh871j9F/6K2ug3PiMEhTGMMyERFNpELexdmTBSzNZ7Awl4brsqp8vPQaHRdd9Ochtg0jGP8mjM/ROSd2gz/u8EfdGJaJiGgiFXJJZDMulFSwbAHbilmsRUdX16YkQHvusV70p0OvDtMxky+ioTd0TlxatjqvQ+RjWCYioolkWQKWxQrf8aUX9Rn/SDIX9QUzlPXz0TnL6J7JHDontrQcPp4IDMtEREQ0qcyFe0oBkH7FOW7Rn/9852R0t1SY5+z1mkQdDMtERDTRlAJaLQ/NloRlCSRsC4kEWzKOPr0BidlyYWw80rXoTwdmGM8bG5mYTzAQ0wEwLBMR0URreRLrm1Wsb1bgOjaW5jNYnE+P+7Zo2JTsbG8dLNZDuzLctU11pF0jeh1zHjPRATEsExHRRGu1JDY2K/jphS1k0g6chMWwfCzoRXh68R78KRhATFqOPI92lTkI3BbaiwOHf9d09DAsExHRRBMCSCYTyOdcpJIJbkxybMQEYgCddgsVfk7EnBOqJvtTNWJfilVn6o1hmYiIJloiYWFpPg3XsZCwLczkk+O+JRoJYyGfSS/kC/UnW4CKtGcI+I8ZG5EgMi0jONCKD9tEYFgmIqIJl7AtzM+mMT/L1otjRfTaHER1WixCx0erw0a1WXmIHS2njwPCLRxEBoZlIiIimkxBNdhcoBezW1/7YD8U6+dNvc7RT3O6CvXGsExEREQTSnZvdx3bXyw7fczBHGVzM5J9epLZgkF7YFgmIiKiCWdsPBLMVzaf9vuSgZjFf4g/h6hPDMtEREQ0oaIL9Mw2i2jl2NiZr6s3eZ82DKI9MCwTERHRZNLtE8EOfR4Au/3fXdtY61At0TUtI/Ycov703dFeLpfx6U9/Go888gjm5+dhWRa+9KUvdR33u7/7u7Asq+vjvvvui73uF7/4Rdx3331Ip9O499578cwzzxz+qyGioeD7nyZFpdrE9Vsl/OTV27ixXka11hr3LR0pE/VeV0bg1b3KwcQK1QnQIbo32Wofqz+CczzjI+58om59V5bX19dx/vx5nD17Fvfffz+++93vQvT4F1oymcQXv/jF0GMzMzNdx33hC1/Axz/+cfzmb/4mPvnJT+Lv//7v8cQTT6BSqeBTn/rUAb8UIhoWvv9pUlSqTVy9UcSlq7t4w+lZuI6FdIq/JB2UyXqv+xViPWs5WLhnbkoSM15OCASV5ECPjUzizieK6Ps7zNraGm7cuIHl5WW88MILeOihh3oe6zgOPvShD+15vWq1iieffBKPPvoonnvuOQDARz7yEUgpcf78eXzsYx/D7Oxsv7dHREPE9z9NCs9TqNU9lCpN1OsteJKVwUGarPd6TNVYiE6bhT7GXPQXHGd+jvjWDIZk6lPfbRiu62J5eRkAoNTe35yUUpBSYnd3t+cx3/nOd7C5uYlPfOIToccff/xxlMtlfOMb3+j31ohoyPj+p0mRyTg4uZLHm9+4iNUTOWRSzrhv6UiZrPd6rwV5fpVZWP7mJP20VPjnWHbno+emJ0RhQ5nCXalUUCgUMDs7i4WFBfz+7/8+yuVy6JgXX3wRAPD2t7899PiDDz4Iy7Lw0ksvDePWiGjI+P6nYcqmHZxcyeFn713E2okcWzDGaOjvdR2Io4E56F32H9e9zXuFe32OvmavaxPFGPh3mbW1NfzxH/8xHnzwQUgp8c1vfhN/9md/hh/96Ef47ne/C9tuN9pfv34dtm1jcXExdL7rulhYWMC1a9cGfWtENGR8/9OwWZaAa9kAC8pjNZr3ujkyLvJ4aHMSHXj73AKb6IAGHpafeuqp0Ofnzp3DvffeiyeffBJ/9Vd/hd/+7d8G0O5jcl039hrJZBLVanXQt0ZEQ8b3P9HxMLL3uoqZeiEsdFo0onOYzbDMBXw0GCPZDP0P//APYVkWvv3tbwePpdNpNBqN2ONrtRrS6fQobo2Ihozvf6LjYfDvddX5UDEfgF9hNtopQs/HfRAd3EiavVKpFObn57G5uRk8trq6Cs/zsLGxEfr1TKPRwObmJtbW1npe71Of+lTXeJpz587h3Llzg795OvKee+65YJW2trOzM6a7OXoG/f5/8iuvoZAOf+v6wDuW8IF3LA3+5ulI+eo/ruOr/7geemy3yjnNgzLo9/ofPf11zORS7U/8nPs7v/YAPvjIg+hsUGJFWjJiaoBdu/mx2nwc/e9vvYCvfOuF0GM7pf5+izmSsFwsFrGxsYGlpc4PswceeAAA8IMf/ADve9/7gsd/+MMfQkqJ+++/v+f1PvvZzwbnE92puH9ovfjii3jXu941pjs6Wgb9/v+fv3M3fv5sbng3TEdW3D+qfnSxhHf/Dy4oHYRBv9f/13//r3jwvtPoqggr2QnAAmjPVNYTMszjVPhYwA/W+hw6Tj74yNvwwUfeFnrsn358GQ/9t8/te+5A2zDq9TqKxWLX4+fPnwcAPPLII8Fj73nPezA/P49nn302dOyzzz6LbDaL97///YO8NSIaMr7/adTK1SbWb1dwa6OMUrkByZnLIzGy93rQqyx6fESPQ/cxIvIRPZeoDweqLD/zzDPY3t4OVq8+//zzuHTpEgDgiSeewObmJh544AF86EMfwpve9CYAwN/8zd/gm9/8Jt73vvfhN37jN4JrpVIpnD9/Ho8//jjOnTuHhx9+GN/73vfw5S9/GU899RQ3JCCaMHz/0yRRCtjaruHqzSK8lsLJlRySyQQsi0HoTk3Oez1uwxH4odfqPB8E6khlWQBQuqfZfJB/R+hgDhSWn376aVy8eBEAIITA17/+dXzta1+DEAIf/vCHMTc3h1//9V/H3/7t3+JLX/oSPM/DG9/4RnzmM5/BJz/5ya7rffzjH4fjOHj66afx/PPP48yZM/j85z+PJ554YjBfHRENDN//NFkUtot1XLq6i0bDQzqdwMoy23MGYWLe67qFQkRbJnSV2NyQxKwcR48jujMHCssXLlzY95i/+Iu/ONANPPbYY3jssccOdA4RjR7f/zRZBOZnUrjr9Cw8T2JhLg2bVeWBmJj3uq4I9wzDiFSN9aK/aDWZ6M5w6yMiIpo6QgBzMymkkjakAjKpBCybYflo8QOyDstdUyzMxXqy05Ih/BYNtlvQgDAsExHRVEqnEtzu+iiLVo1je5hFpzdZL/JTMTOVo33PRAfA7zJEREQ0oYxFe0oB8IzHeiz6A3rMVo6cQ9QnhmUiIiKaTEIAsDvj4ZTnPxHXkqEX/Ul02jJM3IyEDodhmYiIplqj6WGnWMdusYF0KoGZfBLZjDPu26I7pfzAG7tDnx+K4yZgBP3NRlgOrkF0cAzLREQ01ep1DzfWy7h4ZRdL82lYp2YYlo8Ev0IMC50JF7p6rPuSY6rFwgzV5mMMy3Q4DMtERDTVPClRrbaws1tDOpVAs+ntfxJNASMU637jYDqG7BwT2r3POI5oQBiWiYhoqiXdBFaWsrBtgXzORT7njvuWaCCsHqPjjDnKyu9jFlzAR8PDsExERFMt6do4sZRtb0xiCyQS3JDiaDD7k5URlP3gHLRiSL+4zAV8NBwMy0RENNUsSyDp2ki60W2RaaoFfcZxAVh0KskqmC0XGRknWG2mgWBYJiIioslkLtbrqhqbrRm6v1n2eJ7o8BiWiYiIaELts1hPV5+D2cpGWBbGJiVEd4BhmYiIiCacOS7OnLusmaPl9EMxI+SIDoFhmYiIiCabgjEyzgJgR7Jy3Gzl4P8Q3RGGZSIiOjJq9RaqtRaaTYl0OoF0KoGEzeriVDIryYA/Rs5czBfZoS9Y0Ec0WAzLRER0ZBRLDVy7WcJuqY7V5RzWTuSQSDMsTye93TX8jfvM+coyciwX89HwMCwTEdGRsVtq4NK1XdxYL8OyLCzOZ5BJj/uu6FCUv2BP2Agt9FMeusfEWTF9zESDwbBMRERHRj7n4vRqHoWci+XFDFyHVeWpFaoim4v6YhbztQ+MHEs0GAzLRER0ZBRyLhInC2g0JTJpBy43KpliIn67a927LMyxcMacZWG1j2WVmQaEYZmIiI6MVDKBVJI/2o4EYf5WQBkf6G65UBKcqUzDwu8oRERENKGsTiZWqt2vLPRjcTOV9fQMVpVpcBiWiYiIaDIJAcDuVI6DRX2ROcvsU6YhYlgmIiKiyWYu7gPQHisXt5Mf0eAxLBMREdGEM+com1tfc7YyDR/DMhERHTlKAS1PotWSEAJIJCzu5Dd1Igv2dBU52PZaH2Ps8kc0BAzLRER05LQ8iY3NCtY3q3ASFpbmM1ic5+4kUyXYlCTaauHPWdbbXXfNYSYaLIZlIiI6cjxPYmOzip9e2EQ65cBJWAzLU0ePg4sEYHPyRVBl9mcrsyWDhoBhmYiIjhwhBFzXRjbjIpW04STYgjF9hNGbjMi4ONH5XDEg03AxLBMR0ZGTsAWW5tNw/F7lmUJy3LdEB2bs4Bfs2hdpxzCryawq05AwLBMR0ZFj2xbmZ9OYn2XrxdQKdvDTY+JifjvAPmUaAf5eioiIiCaQH4SFjSAQK49bW9PIMSwTERHRZBJ+RVlPv1Ae2gv7xn1jdJywDYOIiIgmlNFiIYQ/VlkBQsUfQzQEDMtEREQ02QT8vmW7/bmerYzooj+iwWMbBhEREU043Y7hh2UYLRnsyaAhY2WZiIiOtGqthe3dOnaLdcwUkpjJJ5FO8cffxFPSb7mIVo7NHfw4DYOGj98tiIjoSCtXm7h2s4iLV3bxhlMFOAmLYXkqmLvzRXuXBXMyjQy/WxAR0ZHmeRLVWgu75TqqdQ+e5K/tp4Pq7OAXu3sf0WgwLBMR0ZGWSTs4uZJD0rWxNJ9BhlXlKWF1dvCL7tZHNEL8jkFEREdaNu0geSKPE4tZJGwLiQTXtk+FYMc+ZfQuMyzT6DEsExHRkWZZAq5rw4W9/8E0QQTCjcmqU2VmhZlGiGGZiIiIJpPw2y+C/mXpV5wji/6Ihoi/iyIiIqIJ5Y+J08FY+aGZazRphFhZJiIioskWVJjhb04y1ruhY4ZhmYiIiCacnqtsdz4nGhGGZSIiOjYq1SYq1RakUsikE5CcuTy5lES738KYr0w0BgzLRER0LCgAWzs1XLtZQrMlsXYiBykZwCaXHhkHMCjTODEsExHR8aCA7d06Xr+yg3rdQyppw0umx31X1IuS7Q/BkX80XgzLRER0LAgBzM2kcNfpWbRaEgtzGWzUx31X1JPelCQ0W5kVZho9hmUiIjo25mZSSLo2lFJIpxxs3qyN+5aoJ8HtrmkiMCwTEdGxkU4lkE51fvRZFkvLE0twKwiaDAzLRERENKGszgI/VpVpTBiWiYiIaDIJAYAL/Gi8+DsOIiIiIqIeGJaJiIiIiHpgGwYRER07Uio0WxLVWmvct0I9cXdFmgwMy0REdOzUGx7WNyt4/cr2uG+Fegk2JeF8ZRovtmEQEdGxU294uLlexuuXd8d9K9STBKvLNAkYlomI6NixbYF0KoF8zh33rVBPrCbTZGBYJiKiYyfp2lhZyuINp2bGfSvUk+V/MDTTeLFnmYiIjh3XsbE4n8GpVTnuW6FeBLe3psnAyjIRERERUQ8My0REREREPTAsExERERH1wLBMRERERNQDwzIRERERUQ8My0REREREPTAsExERERH1wLBMRERERNQDwzIRERERUQ8My0REREREPTAsExERERH1wLBMRERERNQDwzIRERERUQ8My0REREREPTAsExERERH1wLBMRET0/7d3vzFV1n0cxz/nzBN/swJ0gKsoKtzUhk5nsFIiSypxFRo9UFsP2nKlYpu1tmZbWT1IVyMfGNYDNtndnC6dLqtZ1mo2wW68l6RCZiagJrYQkT9q3/vJzbkR+OWfc52/vV/btenvunZ9uM45H/c9B7gEAAeGZQAAAMCBYRkAAABwYFgGAAAAHBiWAQAAAAeGZQAAAMCBYRkAAABwYFgGAAAAHBiWAQAAAAeGZQAAAMCBYRkAAABwYFgGAAAAHBiWAQAAAAeGZQAAAMCBYRkAAABwYFgGAAAAHBiWAQAAAAeGZQAAAMCBYRkAAABwYFgGAAAAHBiWAQAAAAeGZQAAAMCBYRkAAABwYFgGAAAAHBiWAQAAAAeGZQAAAMCBYRkAAABwYFgGAAAAHBiWAQAAAAeGZQAAAMCBYRkAAABwYFgGAAAAHBiWAQAAAAeGZQAAAMCBYRkAAABwYFgGAAAAHBiWAQAAAAeGZQAAAMCBYRkAAABwiNtheePGjQmRQU7sZiB2bd5zKiEyyIndDMSGf332Q0JkkBO7GVeCYTnKGeTEbgZiVyINZOTEZgZiw8cRGJYikUFO7GZcibgdlgEAAIBwY1gGAAAAHBiWAQAAAIdR0f4CrkZPT48k6dChQ+rs7FRjY2NY8yKRQU5sZhw6dEjS/19ziL6B56L5+Dmd6bmg/xw9G9a8SGSQE/2M5uPnJNH1WDLwXBw8clKdZ3v07wPHwpoXiQxyYjPj4JGTkq6g/xZHNmzYYJLY2CK2bdiwIdove/wP/WcL50bXYwddZ4v0drn++8zMFCc6Ojr0+eefKy8vTykpKdH+cpDAenp69Ouvv2r27NnKysqK9pcD0X+EB12PPXQdkXKl/Y+rYRkAAACIJH7BDwAAAHBgWAYAAAAcGJYBAAAAB4ZlAAAAwCGuhuW+vj69/PLLys3NVWpqqu655x7t3Lnzms7V3d2t1157TWVlZcrIyJDf71dtbe2Ixx44cEBlZWW6/vrrlZmZqUWLFqmjo+OKchoaGvTCCy9owoQJSk9P16233qrKykq1tLR4mtPU1KT58+crPz9faWlpGjNmjGbOnKnt27d7mjPUm2++Kb/fr0mTJnmW8/XXX8vv94+41dfXh+1aENvovxv9p/+JwsueS4nV9Wj1XKLrcXWf5aeeesoCgYC99NJLtn79eisuLrZAIGDffffdVZ/ryJEj5vP5LC8vz+6//37z+XxWW1s77Lhjx45ZVlaW3Xnnnfb+++/bW2+9ZRkZGVZYWGj9/f2XzamoqLDc3FxbtmyZffTRR7Zq1SrLzs629PR0279/v2c5n376qZWVldnrr79uH374oVVXV9uMGTPM5/NZTU2NZzlDH5vU1FRLT0+3SZMmDdt3rTm7du0yn89nVVVVVldXd8nW0dERlmtB7KP/bvSf/icKL3tullhdj0bPB873T+963AzLe/bsMZ/PZ2vWrAmu9fb22h133GHFxcVXfb6+vj47efKkmZnt3bvXWaDFixdbWlqaHTt2LLi2c+fOYS9Ol927d9v58+cvWWtpabHk5GRbsGCBZzkjuXjxohUWFtr48ePDklNZWWmzZs2ykpISmzhx4iX7QskZKNDmzZv/9rhwPGaITfT/6tF/xBuve26W+F0Pd8/N6LpZHA3LK1assEAgYF1dXZesv/322+bz+ay1tfWaz93Q0OAs0NixY62ysnLYekFBgc2aNeuaM6dMmWJTp04Ne86cOXMsJyfH85xvvvnGRo0aZfv377eZM2cOe7cZSs5AgTZt2mRnzpwZ9g+Q19eC2Ef/rw39RzwJZ8/NErfr4eq5GV0fEDc/s9zY2Ki77rpL6enpl6xPmzZNkrRv3z7PM9va2nTq1ClNnTp12L5p06apsbHxms5rZjp58mTwf4vxMufcuXPq6OjQ4cOH9e677+qzzz7TAw884GnOxYsXtWTJEj377LOaMGHCsP1e5TzzzDO64YYblJKSotLSUv3www+eZyA+0P8rQ//pfzyLRs+l+Ot6JHou0fXBRkUkxQPHjx9XTk7OsPWBtfb29rBkDs4YmvvHH3/o/PnzCgQCV3Xeuro6tbe3a9WqVZ7nvPjii6qpqZEk+f1+VVRUaO3atZ7mrFu3Tr/99pu++uqrEfeHmpOUlKR58+bpkcBUiCkAAAT+SURBVEceUVZWlpqamrR69Wrdd9992r17twoLC8P23CA20X/6T/8TXzR6PpA7OGdodqx1PRI9l+j6YHEzLPf09CgpKWnYenJycnB/ODIlXTb3ap6kgwcP6vnnn1dxcbGefvppz3OWL1+uJ598Um1tbdq4caMuXLigvr4+z3JOnz6tlStXauXKlcrMzBzxmFBzioqKVFRUFPz7nDlzNG/ePN1999165ZVXtGPHjrA8N4hd9J/+0//EF42eDz5vvHQ93D2X6PpQcfNjGCkpKcEXw2C9vb3B/eHIlORZ7okTJ/Too4/qpptu0qZNm+Tz+TzPKSgoUGlpqRYuXKht27bp7NmzKi8v9yzn1VdfVVZWlpYsWeI8xuvHTZLy8/M1d+5c7dq1S2YWlgzELvpP/+l/4otGzwefN166Hu6eS3R9qLj5ZDknJ2fEb8EMfESfm5sblszBGUNzMzMzr/jdTGdnpx5++GGdOXNG3377rbKzs8OSM1RFRYWee+45tbS0hJzT0tKi9evX67333lNra2twvbe3V/39/Tp69KhGjx4dtuu5+eab1d/fr+7u7rA+Zog99J/+0//EF42eD+QOzhmaHetd97LnEl0fSdx8sjx58mQ1Nzerq6vrkvU9e/ZIkgoLCz3PHDdunMaMGaOGhoZh++rr6684s7e3V+Xl5fr555+1fft2jR8/Piw5Ixn4FkZnZ2fIOW1tbfrrr7+0dOlS3X777cGtvr5ezc3Nuu222/TGG2+E7Xp++eUXpaSkKD09PayPGWIP/b829B/xJBo9l+K/6172XKLrI4rIPTc8MHD/xdWrVwfXBu6/WFRUFNK5/+52MosXL7bU1NQR7+/3wQcfXPbcFy5csLlz59p1111nO3bscB4Xas7vv/8+bK2/v9+mTJliaWlp1t3dHXJOR0eHbdmyxbZu3RrctmzZYhMnTrS8vDzbunVr8ObroeSMdC379u2zQCBgjz32WHAt1McM8YP+/z36f3UZiE3h7LlZ/Hc9Ej03o+sj8ZmZRWYsD11lZaU++eQTLV++XPn5+aqtrdXevXv15Zdf6t57773q861du1Z//vmn2tvbtW7dOj3xxBPBdylLly7V6NGj1draqsmTJ+vGG2/UsmXL1NXVpXfeeUe33HKLGhoaLvvxf1VVlaqrq1VeXq758+cP279gwQJJCjnn8ccfV1dXl2bMmKHc3FydOHFCdXV1am5u1po1a1RVVeVJzkhKSkp0+vRp/fjjj8G1UHJKS0uVmpqqoqIijR07Vj/99JNqamqUlJSk77//XgUFBWG7FsQu+u9G/+l/ovC651LidD2aPZf+4V2PyEjukd7eXluxYoXl5ORYcnKyTZ8+3b744otrPl9eXp75fD7z+Xzm9/vN7/cH/3z06NHgcU1NTTZ79mxLS0uzjIwMW7hw4YjviEZSUlISPO/Qze/3X3JsKDkff/yxPfjgg5adnW2BQMAyMjLsoYcesm3btg07NpQc1zUOvVF5KDnV1dU2ffp0y8zMtEAgYOPGjbNFixbZ4cOHw34tiF30343+0/9E4XXPzRKn69Hs+cA1/lO7HlefLAMAAACRFDe/4AcAAABEGsMyAAAA4MCwDAAAADgwLAMAAAAODMsAAACAA8MyAAAA4MCwDAAAADgwLAMAAAAODMsAAACAA8MyAAAA4MCwDAAAADgwLAMAAAAODMsAAACAw38BnNqzzmqoj8wAAAAASUVORK5CYII=",
"text/plain": [
"Figure(PyObject <matplotlib.figure.Figure object at 0x11a7c3c90>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Compute low=resolution Radon coefficients via the Radon adjoint operator \n",
"\n",
"ma = zeros(Float64,nt,np);\n",
"\n",
"for ix = 1:nx\n",
" for itau = 1:nt\n",
" for ip = 1:np\n",
" t = (itau-1)*dt+p[ip]*xn[ix].^2;\n",
" it = int(t/dt)+1;\n",
" \n",
" if (it<nt)\n",
" ma[itau,ip] = ma[itau,ip] + d[it,ix];\n",
" end\n",
" \n",
" end\n",
" end\n",
"end\n",
"\n",
"subplot(131); imshow(m0, cmap=\"PuOr\"); title(L\"m\")\n",
"\n",
"subplot(132); imshow(d, cmap=\"PuOr\"); title(L\"d = L m \")\n",
"\n",
"subplot(133); imshow(ma, cmap=\"PuOr\"); title(L\"{\\hat m}=L^T d\")\n",
"\n",
"tight_layout()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 0.3.12",
"language": "julia",
"name": "julia-0.3"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "0.3.12"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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