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D8AAAAEH4AAAAIPwAAAIQfAAAAwg8AAADhBwAAgPADAABA+AEAAAg/AAAAhB8AAADCDwAAAOEHAACA8AMAAED4AQAAIPwAAACEHwAAAMIPAAAA4QcAAIDwAwAAQPgBAAAg/AAAABB+AAAAwg8AAADhBwAAgPADAABA+AEAACD8AAAAEH4AAAAIPwAAAIQfAACA8AMAAED4AQAAIPwAAAAQfgAAAAg/AAAAhB8AAADCDwAAQPgBAAAg/AAAABB+AAAACD8AAACEHwAAAMIPAAAA4QcAACD8AAAAEH4AAAAIPwAAAIQfAAAAwg8AAADhBwAAgPADAABA+AEAAAg/AAAAhB8AAADCDwAAAOEHAACA8AMAAED4AQAAIPwAAACEHwAAAMIPAAAA4QcAAIDwAwAAQPgBAAAg/AAAABB+AAAAws8IAAAAhB8AAADCDwAAAOEHAACA8AMAAED4AQAAIPwAAAAQfgAAAMIPAAAA4QcAAIDwAwAAQPgBAAAg/AAAABB+AAAACD8AAADhBwAAgPADAABA+AEAACD8AAAAEH4AAAAIPwAAAIQfAAAAwg8AAED4AQAAIPwAAAAQfgAAAAg/AAAAhB8AAADCDwAAAOEHAAAg/AAAABB+AAAACD8AAACEHwAAAMIPAAAA4QcAAIDwAwAAEH4AAAAIPwAAAIQfAAAAwg8AAADhBwAAgPADAABA+AEAACD8AAAAhB8AAADCDwAAAOEHAACA8AMAAED4AQAAIPwAAAAQfgAAAMIPAAAA4QcAAIDwAwAAQPgBAAAg/AAAABB+AAAACD8AAADhBwAAgPADAABA+AEAACD8AAAAEH4AAAAIPwAAAIQfAAAAwg8AAED4AQAAIPwAAAAQfgAAAAg/AAAAhB8AAADCDwAAAOEHAAAg/AAAABB+AAAACD8AAACEHwAAAMIPAAAA4QcAAIDwAwAAQPgBAAAIPwAAAIQfAAAAwg8AAADhBwAAgPADAABgy6XuPC+lrKxszZq1Dgk7UJWqaRGRkpyclJRkGgAACL+tr6S0NG/pcoeEnURaWmrVqlWqpKVVqZqWmpJiIAAACD9INEVFxUVFxeu+zMrKyKiWXqVKmskAACD8IDGtWpW/alV+ROy2W1ZGRrpzgAAACD9IWCtWrFqxYlVGtfSaNXfzq4AAAAg/SFj5awrWFhbWzN4tPb2qaQAAsJNzOwf4mUpKShcvWZaXt7ysrMw0AAAQfpCw8tcUzF+wuLS01CgAABB+kLBKSkoXLFyi/QAAEH6g/QAAQPhBJW+/JXnLzQEAAOEHiWzt2sL8/AJzAABA+EEiy1vqIp8AAAg/SHQrV+UbAgAAwg8S2YoVq5z0AwBA+EGCc9IPAADhBwnOST8AAIQfJD4n/QAAEH6Q4FasWOV+7gAACD9IcMuWrTQEAACEHySy/DUFxSUl5gAAgPCDRLZi+SpDAABA+EEic9IPAADhB4nPST8AAIQfJLj8NQWFhUXmAACA8INEtnTZCkMAAED4QSIrKip20g8AAOEHCc5JPwAAhB8kOCf9AAAQfpD4luQtMwQAAIQfJLKSktL8/AJzAABA+EEiW75ipSEAACD8IJE56QcAgPCDxOekHwAAwg8SXElJ6arV+eYAAIDwg0S2bNnKsrIycwAAQPhBIlu5ykk/AACEHyS0FStWOekHAIDwgwTnpB8AAMIPEtyKFatKS0vNAQAA4QeJbNkyt3YAAED4QULLX1NQXFJiDgAACD9IZCuWrzIEAAC2taSd59KCa9euTU9Pd0gAAACXQE/Y8AMAAGBb8FFPAAAA4QcAAIDwAwAAQPgBAAAg/AAAABB+AAAACD8AAACEHwAAgPADAABA+AEAACD8AAAAEH4AAAAIPwAAAIQfAAAAwg8AAED4AQAAIPwAAAAQfgAAAAg/AAAAhB8AAADCDwAAAOEHAACA8AMAANgFpFai1/rgA8M3c8uB5/Z3aAEAAMo54wcAACD8AAAAEH4AAAAIv62mbr2cuvVyHDkAAIDNlFrpXnFWVla3bl3yluSNff/DhQsWOYQAAACJFn7latWudcIJx8o/AACAn1S5f8evPP+OPubIrKxMxxIAACABw69cw4YN+vY79fBuh6WmpjqiAAAACRh+ETFt2vRPPh5fXFzsiAIAAGyg0p8iy1uS9+abY1atWu1YAgAAJFr4ubILAABAwoaf5AMAAEjk8Pv2m1nTp81w5AAAADZT5bu4iyu4AAAAJHj4AQAAIPwAAAAQfgAAALuMpLKyMlMAAABIYM74AQAACD8AAACEHwAAAMIPAAAA4QcAAIDwAwAAQPgBAAAg/AAAAIQfAAAAwg8AAADhBwAAgPADAABA+AEAACD8AAAAEH4AAADCDwAAAOEHAACA8AMAAED4AQAAIPwAAAAQfgAAAAg/AAAAhB8AAIDwAwAAQPgBAAAg/AAAABB+AAAACD8AAACEHwAAAMIPAABA+AEAACD8AAAAEH4AAAAIPwAAAIQfAAAAwg8AAADhBwAAIPwAAAAQfgAAAAg/AAAAhB8AAADCDwAAAOEHAACA8AMAAED4AQAACD8AAACEHwAAAMIPAAAA4QcAAIDwAwAAQPgBAAAg/AAAAIQfAAAAwg8AAADhBwAAgPADAABA+AEAACD8AAAAEH4AAADCzwgAAACEHwAAAMIPAAAA4QcAAMAOkWoEAAA7rTVr1vznP//Jz8/Pzc1t27atgQA/T1JZWZkpAADsnGbNmnX88cfPmDGjd+/eDz/8sIEAP48zfgAA28lrr702cuTIjT6Um5t7+eWX77bbbuvWPPTQQx9++GFaWtq55577zDPPFBQU7Jx/qC++iDvu2PEv45JLYt99vcVA+AEA7GgTJ058+umn27Ztm5KS8u23386fP79du3apqamzZ89OTU294IIL1g+/RYsWTZs2rW7duqeccspnn322cuXKnfBP9PXX8cor8cAD0bZtZGfvmNewdGlMmBCnnSb8QPgBAOwcmjdvPnz48IyMjHvuuefZZ5994IEHsrOzH3zwwccee2yDLc8///xzzjknOTk5e0cV1WZ46qm45ZZITo7rr4+DD94xr2Hs2Dj5ZO8sEH4AADuNtLS0OnXqZGZmZmVlpaam1qlTp2bNmllZWT/ccv2zfzut/PxYsSJSUyM7O3JydsxryM6OpCTvLBB+AACwSQsXLpwyZUpENGvWrEGDBgZC4nEfPwAAdnXvvfdev379+vXr98Ybb5gGCckZPwCA7aR79+5NmjSpUqXKBus7d+6clZW10Q98Vl4zZ8awYVFU9N2aAQOideuYNy+GDYtVqzb13OrVY/DgqF8/Jk6MRx/9bn2VKjF4cDRpslkvYNasWcOGDVv/aqhnn312fn7+O++8M3jw4PLfnMzLyxs2bNiSJUuqVas2cODAYcOGrV692hsV4QcAwM/XsWPHjh07/nB927ZtE+/m7PPmxR13xO67R40akZ8fkyfHoYdG69axZEnce29Urx61am38iXl5kZ8fp50W9evH1Klxxx2x996RkRHLlsW8eXHSSZsVfvPmzfvoo4/eeeed9cOvefPm33zzzfPPP3/WWWeVh19BQcFHH300Z86co48+evDgwc8884x3KcIPAAC2zFVXRbdu8fnncdZZ31t/0UVx/PEbf8pLL8VNN333ZWZm3Hhj7LNPjBkTl166ud/35Zdffu655+6+++7MzMx1K4cOHfryyy/XrFlz3ZqcnJw777yzqKgoKyurtLTU8UL4AQDAFsvNjT33jGXLIiXle+vr1Ys999z4U+rV+96XKSnRqFHsuWdMmrS53/SRRx6ZM2dO375999prr/T09HXrTzjhhObNm9eqVWvdFVPT0tIaN25cvjxv3jzHC+EHAACVwzPPPNOqVatzzjlng/Unn3zyyW75x67KVT0BAAASnDN+AADbz+zZsx999NGioqL3339//vz5N954Y7Vq1dq3b3/sscdusOXIkSMnTpxYvjxu3LjCwsI//OEP5V+2bNmyb9++m/X9Hnsspk/folf4abR5MU7azI3fe88hBeEHAMD3LV68+Jlnnim/1GSNGjVGjhwZEUlJST8Mvw8++ODFF19cf81TTz1VvtCjR4+fDL/8/Jg1Kxq9MiZz4gdb9Aqnx5qnNjv8Fi2qBDNfunTpggULNliZm5tbo0YNb0iEHwAAW1+LFi2GDx++wQUkc3JyfrjlBRdc0K9fv43upPxWBJs2aVIMGhT3XHZtp/9buUWvsGvUemqzN/7//r94+OGdfeajRo26+eabN1j5xz/+8YQTTvCGRPgBALD1ZWZmtmnTZnO2bNKkSZPNvFX5D7z7brz9dvTsGbU7No8WW/bc2hG1N3vjDa7AuXNq0qTJUUcdVb48YcKEjz/++PTTT2/YsKF3I8IPAIBKbPToeOutGDNmw5so7CLq1auXnJw8Z86c3Nzc5OTkzp07d+7cufyhYcOGzZgx4+qrr27UqJH3CbsUV/UEACCh/Pa3v61Ro8Y111yTn59vGlDOGT8AgMqnoCCefTb22ScOPPB760tL49lnIyL69ImkpF10OC1btuzUqdPy5cvvu+++5OTvnedYuXLlgAEDsrKyyr9cvnz5c889t3z58ohYsWJFXl7emDFjCgsLyx/t2rVru3btvNkQfgAA/HxFRbFkSZRf5yU1NWrX3oJPZq5ZE7feGmed9b3wW7s2Fi6M4cOjW7f4zW92wJ9o7dpYsqRiefHiKCv73qN5eTF3bixcGCUlP7GfkpJYuDCysyMvb8OsXbQo5s6t+LJ27ahadeN76N69e506dfr06bNy5feubXP22WffeOON675csWLF/fff/80335R/mZKS8sEHH3zwQcV1UDMzM4Ufwg8AgP/JjBlxySWxalVERNOm8be/Ra1a/9MO//vfuPLKOOec6NJlx/yJJk2KSy+tSNkVK+L/nTmrcNttMXx45OfHyp+6zuiyZXHFFZGREYsXbxiW110X1auXR1r87W+xiQvl7LHHHg899FDJ9yszNzd3/S9zcnLuuOOO8rtr/FCzZs28SxF+AAD8T1avjg8+iI4do1mzqFo1Hnss0tJi333j8MN/zt4++CDeeSf22y8OPjiaNt0xf6LMzNhvv1h3r4pDDony65Lm5MTAgbFmTcX6Dh2iefMf3UmLFnHuud99mZERtWtHRDRpEr/61XfrU1IiM3NTL6Z69errrunyY9LT0zt06OCtiPADAGDbGjQoTjklvvoqTjopFi2K006L1q0jIrKyfvRzjBv10kvxySfx5ps78s+y115x110bWd+4cdx66+bupH37aN9+I+v33z/uucf7BYQfAECl1ahR3HdfFBbGxIlRftv2K6+Mnj0NBhB+AACJIisrunaNiKhSJb76KiJi3Lj49tvIyopjj43ddtvUc4uKYtSoSEuLo4/eMS++tDRefTWmTNkx333y5A2vIgMIPwCAnVrXrhUFOGhQDB0aDRtGq1axxx6Rmhrp6RvZvrg4li6NW26JXr3i8st3WPjddNOO+dZpaVGlSmRm7qK3qgfhBwBQuV1wQfTqFStXxg03xIoV0aVLXHXVRjYbPz7+8pfo378iF3c1ffrE6adHROy3n7cMCD8AgMrmgAPigANi8eL45JNISYlFi+KxxyIi2rePli0rthk3LpKSonbt6Np1U9fJ3KYv8qyzduSUTj45jj/emwWEHwBAZVanTsX1MEeMiLPPjoi47bbYc88oKoqysnjqqVixIl55ZYe9vL59o29fRwmEHwAAW0PnzjFiRETExx9Hv35RWBgzZ5oKIPwAAP4306fHJ59sw/3PnBmFhZu78e67x+67R0QsWxbvvBMffFCxfu7ceOaZrfmqmjYNtzTf/mbN+u6YrrP//t99rBeEHwDANjF6dPzqV9v2W/yM+xD88pdRo0b06VPx5YQJFff921r69xd+O8CHH27kON5wg/BD+AEAbGPdYszjOS/FtddGnZxtsf+ZM2Po0C3Yfvny+POfY86cqF8//v73GDo0Dj00jj12q76mYfc2K4uI8x397eC99+KeeyqWc3Pj8cc33ODLL+OMMyqWTz01TjnFzBB+AABbW/OY1rz6K3HipdFkm+x/woS4+ebN2vLTT+Obb2LNmli4MFavjpycOPXUuOeeaNv2uzDYOl7/MCJJ+G1T+fkxdmzk58e0abF6dcXKunU3ciiHD4///rdi+bPPKu5VeMghkZNjigg/AICEc//98dBDkZMTL74YLVtGcnLk55tKZbVoUVx0UcycGaeeWnHBnoiN34D+jDPitNMqlv/yl4rPgo4aFYcfbooIPwCARPHee/HggxERLVrEPfdEtWrRtGlUqxYRwq+yeuedePLJuOiiSE+PZs0qjuaPSUuLtLSK5ZNPjmbNIiJGjowlS6J3b7NE+AEAVGarV8fHH0dBQUyaFPPmRUT06bO1f5ePHeG//42PP478/DjppMjN3bLntmsX7dpFRPz2tzFxYjRsGO3bb/w8IQg/AIBKYMGC+PWvY86c6N274qOAmz4vRGVx991RWhp33RWZmT9/J9ddF7ffHtdfHy++KPwQfgAAldADD8THH0fVqvGrX0XVqtGiRWRnm0oimD8//va3aNIkDjkkdtvtf9pVVlYce2xkZMQll8RvfhP77We6CD8AgMpg9uyYOjUi4tNPY8qUaNAgrr026tUzmMSxfHk8/njccMPWuS7LgQdGQUFce22ceKLwQ/gBAFQSr78e11wTEXHjjXHddZGSEjVrmgog/AAAEsWDD0a7dnHttRERBx/sRF8Ceu+9eOGFuPTSOOigrbbPPfaIW2+Nf/87CgvjxBPNGOEHALCzysyMDh1i6dLIzo6LLjKPhPX55/HKKzF6dDRqtNX22aBB/PrXccwxUVoq/BB+AAA7saZN48EHo7Q0srIMAxB+AACJqEqVn38KqFq1uOSS2HdfU6zExo8f/9RTT0XEySeffMghh6xb/8UXXzzyyCPly3vvrhp3pQAAIABJREFUvfe5555rVgg/ACCRrVmzZsqUKUVFRRt9tEmTJjk5OeXL33777cKFC9d/NDk5ea+99spK0LNp6enRv783SCUwbVrk50erVpGWtuFDX3755R133NGiRYsOHTqsv37x4sX/+te/pkyZUrNmzZNOOmkTO2/ePFJT48svY6+93NMP4QcAVFqzZ88ePHjw4sWLN/roH//4x9NPP718+eGHH3788cfXf7Rq1aqPPfZY27ZtjZEd6I47IiJuvz1q197Io9nZ2bfeemunTp3WX3nggQc+/PDDv/jFL4466qhLLrlkEzv/v/+LRx+Na66JRx+N6tUNG+EHAFRO2dnZffv2XbVqVUTk5eU99NBD3bt3b9euXfmje++997otO3bsmJKSUlBQ8NBDD+2///6HHnpoamrquvOBsKPMnx+1akWTJht5aP/997/wwgvHjh1bs2bNjh07rls/a9asZ5999tRTT+3Ro0fDhg03sfOGDSMlJWbNirIyk0b4AQCVVk5OzrozHtOmTXvuued69eo1YMCAH2559NFHH3300cuWLRs1alSPHj2uuOIK02Mn17p169q1ax9xxBG5ubnrh9/UqVPvuOOO0aNHb/ARUPhfJBsBAACA8AMAALa+rKys888/f+HChc8++2z5mtdff33ChAlXXXVVgwYNzIetyEc9AQBgx9htt90uuuiiCy644Omnnz711FMjYtSoUdOnT3/ppZc2ex95BQWLv/46srIiOzu7bt266x4oLCycPXt2cXFxRKSlpTVq1CgvL2/58uU/3EVOTk7NmjUdDuEHAADsnF6eMePOc86JlJTo16/flVdeue6BuXPnnn/++eUXxc3Nzb3vvvseeOCBjSblZZddduaZZxplYvNRTwAgwc2cOfPmm2/+9ttvjYLtr1evqFs37r8/Vq7c+jv/xz8iP79J796tvvzy8yZNmuy1117rP5qZmXnYYYcVFBQUFhZ27ty5WrVq++67b25u7uTJk9u2bXvEer7++uvnn3/ewUpszvgBAAnu66+//r//+7/27ds3btzYNNjOzjorhg2LW26JY4750Vvt1axZc/Xq1d98801EpKSkbP5tSB56KFq3PvyKK2p98sknvXv3Puyww9Z/NDs7e8CAATNnzszOzr766qsjok+fPmvXrh0/fvwVV1zRsmXLdVtecsklw4cPP+WUUxyvBOaMHwAA7EgDBw7s1KlTv379+vXrl5OTs/7HNTdHs2bNHnnkkbfeemv48OHrr587d+4FF1zQpk2bwYMHGzLCDwAAdqRmzZrVqVPnww8//PDDD9PT09c/F7c5srKyOnTosGjRopkzZ66/vqCgYNy4cTVr1mzevLkh46OeAMDOq7i4OC8vr7S0NCIWLVpUUlKyfPny+fPnlz+62267ZWRklC+vWLEiPz9/+fLlRUVFK1euXLdNROTl5ZkkO1C1apGdHUuWRO3aUa3axrepWrVqvXr1ImLdW3rTCgtj6dLIyIisrIo12dnZKSkpixcvrlWrVnJycn5+/tKlS2vVqpWenr7Bc0tKShYvXrz+35Hk5OTs7GxHSvgBAOwYs2fPvuyyy8rLbc2aNYsXL7733ntfeOGF8kcvu+yyXr16lS8//PDDL7zwQnFx8YwZMx5//PF///vf63aydOlSk2QHOvLIyMyMIUPiwgujZ8+Nb9OpU6cRI0ZExGaenZs8OS67LE47Lbp3r1hzxRVXvPrqq1ddddVtt92WnZ395ptvPvroo0OHDu3YseMGz122bNlll122fmEeffTRv/zlLx0p4QcAsGNUrVq1RYsW6+481rZt2/UfXf8cRb169co/ILfffvv9cD+dO3d2O2x2lAYNonXrmDAhFiz40W3q1q27/i34ftKKFfHuu3HZZbHnnhVrWrduPWbMmE8++aSoqCgi5s6d+/nnnx944IHlJxK/FwCpqc2aNcvOzp4+ffo777zTq1ev9u3bt27d2pESfgAAO0Zubu6NN964OVuWXxjDxNg5JSfHbrtFUVGsXh2Zmf/r3tasifz8qFEjUn/Wz/I1atT4/e9/37Jly5EjR3799deXXnrpBv+kQmK+CY0AAAC2qQYN4p574r//jWHDtsLeXnghnnwyHnooDjjgf9pPp06dbrvttrvuumvUqFGOUcJzxg8AALatzMw4/PCYOjWmTYtnntnUPf1+0qhRMWVKtGgRPXtGWtr3Htp33327dOny/PPPp6Wl5eXlnXLKKZu+VEz9+vWPOOKIcePGff7559WrV+/Ro4cjlcCc8QMAgO3hvPNin33iuuti1qzIz4+1a7fguYWFkZ8f+flx++2RlBTXXLNh9UXEkUceOWjQoCFDhgwcOHD27Nk33HBDzZo1199g7dq1a9euLSsrW7NmTfmvAlavXv1Pf/rTkiVLbr/99vz8/JKSEodJ+AEAAP+Tbt3id7+LoUOjX7+4664teOIzz0S/ftGvX5xySpx22s/87vfdd9/dd9+9dOnSyy+//M0331z/oXHjxg0YMGD69OmOUaLyUU8AANhOGjeOnj3j448jIubPjyee+G79YYdtuPGECTFpUsXy1KkVnw497LDYZ58f3X92dnbv3r1XrlzZvn37Hz6anp6+zz777LPPPhFRpUqVdevbtWu3aNGiqlWrJic7LZSwksrKykwBAKhESkvjhz+/JCXF1v+R9f7748YbY/ToaNJkVxlu//6RlBSPPOJtth08+WScfXbF8imnxIgRG25wzTVxyy0Vy3/4QwwZYmb8fM74AQCVzLvvbuQzcuecE8ccYzZUJp07fxd7s2bFD29Hsv/+323QqpWBIfwAgEQ3fXqMH1+xPGPGRs74TZgQq1d/9+PyXnuZGTu7Jk2+O5f8/vvx/vsRERMnxurVccghERH77Rcnn2xOCD8AYJcxZkwMHlyxfOaZG/lQ3KWXxu9+V7F8441x+eVmRmXSqVPFu/qyy2L69Iplv3CH8AMAdglz5sRf/hLLl0ejRt/93lmzZpH6gx9hfvGL6NixYvmrr+KssyItLa65Jlq0MEUqgeTkiswrX0j1QzrCDwDYRcyYEe++G4sWxZo10bFjnHXWpjZu3z7WXcXwoYdi4sRISYl//zsitB+A8AMAdlZvvBHDhsVzz0W9elt2AuSss6Jv31izJnr3jqVL48orzRLY1fngMACw/UyaFAMHxsCBMXLkT2x5zz3x7bcxZEjUrx+ZmVG16hZ8lypVIjMzsrPjiiti5crvLogPIPwAALatqVNj7NiYNStmzYoJE+Kjj6K0dCObrVgRb70VkyZF/frRu3dkZPzMb5eaGiecEE2bxldfxRtvRF6eIwAIPwCAbezpp+PFF2PEiBgxIpKS4ve/j5KSjWz2zTcxcGAcfHCcc85W+Kb9+sWJJ8YZZ8SkSY4AsOvyO34AwHZy5JFRpUpce21ERN26cd55G79afUlJLFsWVatGZuZW+KYZGVGtWixdGsXFjgAg/AAAtrGOHSMlpeIOe+3bb/zO1LNmxVdfRYcOUafOj+5n/vz5kydPLl/OycnZd999N/19s7PjsMNi5syYOTOaNnUcAOEHALAttW5dcWfqrKyNb/Dqq/HUU3HffdGkyY/u5N13373ooovKl0888cRhw4b95Dd9/PEYPDgWLXKFT2AX5Xf8AIDtp2rVyM2N3NyoXn3jG+Tnx/LlUbduVKv2oztp1arVoEGDiouL58+fv2zZss38pqtWxapVjgAg/AAAKoOcnJxOnTp16tSpY8eONWvW/OSTT/Lz840FQPgBAInjnXfe+d3vfnfVVVeNGDGiffv2gwYNmjVrlrEAbILf8QMAdhaPPBLLl8fFF2/qc54RsXr16vnz59erV69p06YZGRmzZ88uKira9J6TkmLQoJgyJYYNi/POi5SUn34xTz755MTnnoslS+Kvf+0zcOBBBx2U2MNfvHjx3//+9+XjxkVSUvYNN5x33nl1NnGBHbaB1atX33///e+9N2/Zsvjd76qed955u+++u7Eg/ACARPPcc9GiRfzyl1t/z8nJccYZ8Yc/xJNPxsCBPxF+a9as+frrrx999NHXX389ImLYsIz69XNycpps4oIzlb/6xo4de8cddyxcuDAi6t9557777tu5c2ftt90sXbr0008/veeee6ZOnRoRt9xSrUWLFj179qxXr57hsHX+M2gEAADrmzNnzq9+9av3339/3Zp77733nnvuSeA/8ujRoy+55JK8vLx1HXjJJZeMGTPGm2G7+fDDD88777xvvvmm/MuCgoIhQ4a8+OKLJsPW4owfAOys3n033nyz8r78gqj6cPxyXjTY/KdMnhwtWvzENs8///zzzz+/fPnyO+64o3bt2l988cXq1avvuuuuAQMGdOrU6Se/xTffxB/+sPEbx6+zaFHhf/87ffXqlevWLFiwYP78+Qn8Xlu+fPnMmTPXfVlcXDxz5szljz4an3/uL+L2sWrSpGnTpq37sqys7Ntvv126dKnJIPwAING9/37cfHM0bfoTmbKzKorM0XHSl1sSfvPm/fQ2L7300ttvv7377ru//fbb5WsaNWr0yCOPtGrVanPCb/HieP75SEra1DZr10ZBgfdfxPjxMWOGMWwnK1aYAcIPAHZVe+4ZDzwQGRmV8bVnRMoNsceaLXnKhRdu1maHHXbY0KFD132Zl5d37rnnbua3aNky7r8/Ujf5E9D06TFwYPy/jz3uws47L3r39rdwO3njjbjySmNA+AHALikjI1q1+tGbne/cUiJabOFTdtttU48uXbr08ccfb9y48XHHHbf//vuvW79q1aoLL7xwyZIl//jHP/r06bPpb5GZGa1bR1raprapX7/OFVdc/Pjjj0+aNKl8zfHHH3/CCSck8Butbdu2gwcPfuKJJ1auXBkRu+2225lnnnnA8cfHenNmm2qZlHTp3LlPPPFE+fV10tLSzjzzzIMPPthkEH4AQKKpXz9SUmLWrGjQYMMLb65YsWLChAk33HDDxRdf3KVLl/UfSk9PP/nkk4cMGTJ27NgDDzywQYMG6enpG+y5rCzmzo2ysmiwGZ88rVu37tVXX71gwYK1ixbF0qXRsOGAAQN6J/S5r/bt2+fk5Hz22Wfz//vfiGjQps1VV13VtGlT78ntpnXr1tddd93kyZMnjx0bRUUZe+55ySWXtGnTxmTYWlJ+//vfmwIA7IzGjo0vv4z+/aNq1V3kT7zPPjFzZjzxRPTsGRu022uvvfbb3/529uzZkydPLiws7Nat27qHli1bdvHFF48ePXrWrFn/+c9/OnfunJOTs8GeS0vjqqsiKysuvDBycn7id/zKtWjR4vjk5FO//vrUu+8+4NBDMyrnB243X3p6eseOHU/5+utTmzY94dZbmzRpkprqDMF2lZaW1q5du5PmzTs1K+vkYcNatGhRpUoVY2Fr8fcZANhZtGgRVarEpElRUrLhQ7m5uUcdddRRRx0VES1bttzgx+X27duX3+o6PT29+o98Mnby5KhfP77/1E3Zc889o2nTSE+P/fePXeB2dunp6W3atIk6dSIpySc8d8zP5amprVq1inr1YvXqaNfOQBB+AMAup1OnTj920c7q1atfccUVRgSwCW7gDgAAIPwAALaXAw6IHj3i0Ufj66+32j6//Tbuvjs6dIiOHQ0Y2EX5qCcAsBPp3j1q1Yru3aNRo2jefOvsc8qUuPTSGD06Dj/cgIFdlDN+AAAAwg8AYDuqXTv694+vv4733tsKe/voo/j00zjvvMjNNVpg1+WjngDAzmX33eP22+Pss2POnGjTJjIzI/ln/Ut1WVmsXh0jR8bnn8dLL5krsEtzxg8A2Blddlk0ahSXXx7Llv3MPRQWxnXXRXp6DBlinMCuzhk/AGBn1LZtLFkS33wTzz4bVarEXnvFIYds7nM//ji++CJKS6O4ONq2jQ4djBMQfgAAO6UePaJhwzjmmJg/P37xi2jXrmJ9SkqkpW24cVFRlJRULD/9dNx1V6Snxz//GT9y13cA4QcAsHNo2DCGDYuCgpgyJfr1q1h5+OFxySUbbvnww/HaaxXLBx0UI0ZESkrstZcRAgg/ANiJTYp9ZseR3SI1bRcewm67xdFHR0SMHh0TJlSsnDMnnnpqwy1nzoxq1SqWDzggjj/eO4hKaXy0XRUNuxgEwg8AdhEvR6/notfoiDSziDjiiDjiiIrlRx+NM87YcIM774y//MWcqPQejf7TI4Qfwg8A2NV16RIjRmy4ct1vAAIg/ACASq9p02ja1BgAtoD7+AEAAAg/AAAAhB8AAADCDwAAgB3DxV0AACqxiRMn3nXXXRusPOGEE3r16mU4Cearr+LWW+Oyy2KffQwD4QcAUMnl5+ePHz++oKBgo4/uvffeu+++e/nylClTPvjggxkzZmywzfjx4xs0aHDggQcmJSWZZ2KYNi3Gjo0ZM+L99yMtLZo3NxKEHwBAZTZ//vxf//rXc+bM2eijf/3rX88999zy5ccee+zLL78c8YPbGt51111/+MMfRo4cmZKSYp6J4Zln4t1346mnYsCAWLAgrrnGSBB+AACVWWlp6dKlS4855phOnTrl5eXdeeedPXr0OPTQQ1esWHHnnXeufyYwPz+/oKCgTp06P9zJihUrTDKRdO8eKSnx+99H167RpYt5IPwAABJCjx49+vfv/+233w4fPrxbt26DBg1asGDB448/vv42e+yxh3N6u4iOHSMtLS6+OM45Jw480DwQfgAAu4yzzz67uLjYHHYRrVrFiBGxsfO7IPwAABJXjRo1NlhTUlJy7733RsQFF1zgyi4JpmrVaNjQGBB+AAAJ8vN91TZt2vzwN/dSU1Nbt25dt27djT5r1qxZ8+bNKykpGTt2bPfu3fv27WuSgPADANhJ1a9f/+67765Zs+YG62vUqHHLLbdUr159o8966qmnhg0blpycfMstt3Tt2tUYAeEHADuRN96Ib76J884zCSqkpaU1btx4Iz+3paY2atToh+sLCwsfeOCB/Pz88847LykpqV27dj+MRkD4AQA7RmlpTJsW774bU6dG+/bRvHlkZZkKW2b58uVfffXVv/71r+OOO27gwIEGkhDHND77LPbcMzIyDIOtJtkIAGBHKSqK66+PtLQ45ZQ4/fT44gsjYYuNHz9+0KBB/fv3P/HEE00jUY5pDBgQX39tEmxNzvgBwA6TnBxHHBGzZsWkSdG3b/zINTvgR73++usffPDBaaed1q5du/UvBvP222/PmDGjf//+ycn+lb+SOeqoyM6OsrJ4/vl4/vlo3jzOOstUEH4AUJmlpcXAgfG3v8WECTF8uHnwPXPnzl2+fPm8efMKCwvnzZv35ZdfpqamNm7cuGrVquu2eeONN8aNG3fvvfeuWrXqyy+/XLf+H//4x+eff/6LX/zCGCudY46JY46J1atjwID4/PM44ICK27Xn5LiDH8IPACqzvn3j+OONgQ3dc889r7zySmFh4YIFCx544IEXXnihVq1af//735s3b77+ZuPHjz/99NM3eO78+fP33ntvM6y80tNj6NDIz4/PPovyw3vBBTFokMEg/ACg0srNNQM2ok2bNiUlJeuvycrK2uBeDt27d69SpcpGn77HHnu4gXvllZISe+0VEZGREcccExExd27ccENExOmnR9OmJoTwAwDYiRUUxLx5Ua/eT1+wsU+fPn369Nn0Nscdd9xxxx1nqgmsUaOKe708/HDcf39ERNeuwo+fw+/7AgBsP1OnRv/+MX68SbBZJk6Mfv2iX79ITY0RI2LEiNhvP1Ph53DGDwBg+1m9OsaNi2XLtviJX30Vr70WEdGtW7Rta5CJbNq0ePHFiuWCgjj00IiIgw+ODh3MBuEHAIli7dpYsiTKymL58igsjLlzIysrsrKiRg2z2RUVF8eSJVFcHO+/HzffHIsXx+23C7/EVFoaixdHUVF89FHcemvFysMPjyeeMBuEHwAknMmT4+KLo7g4Zs+OxYvjl7+MlJTo0ycuushsdkVLlsTFF8ecObH//jFsWFx8sZEkrJUr46qrYtq0aNkyRoyoWFmzpsEg/AAgUcye/d0nu1avjlatoqws9t//uw0WLYq7765Y3m+/6NrVzBLfv/4VkydHYWHk5kbt2nHQQdGpU2RmGkxCWb06Ro6s+OhvcXHUqhWZmdG6dRx2mNkg/AAgUZR/nrO4OD79NK6/vmJlx47xwguxwSX6hw2LIUMqlk8/PVq1ioioXj3Wu5U3CaKgIFatiogYMSJGjoyGDeOFF6JZs4iIBQuMJ3GsXBlr18bChXHHHTF9ekREzZrxwguu3YLwA4CEU1QU118fX3wRjRt/98muGjUi9Qf/fz722Fh31+7x46Nfv4iIq6+OI44wxUQzenTcfntExHHHRb9+kZ4e9eubSgK677745z8jKysuuyzq1ImISEuLJk0MBuEHAIll1qx47bVITo499oi9944ePTa1cePG0bhxxXJKSkydGhHx0UeRlhZduphlIli6NF59NdasiYULY489IiI6doxDDjGYBLRyZbz6aixZEnvsETVqRNeukZtrKgg/AEhEa9fG+PFx7bXx8stx8MFb9txu3aJbt4iIgQNj+vRo1y4yMiLZrXkrrTVrorg4pk2L666LxYtjwICK+3STqPLyYujQuPDCuOaaSEqKatWMBOEHAAnqiSfi44/jscdi771//k5+85sYPTouuihuuCHq1TPUyurWW+ODD6JmzbjppsjIiN13N5IEl5MTd94Zr7wS/fpFrVoxdOh35/NB+AFAgigsjDffjBkzolmzOOaY/2lXbdvGihUxZUqMHBlHHPHdLwFSKXzxRYwbFxGxdGnUrh0NGkTPnu7WuEvIyIhu3WLatFi0KKpUiVdfrbhYa9WqceSRUauWCSH8AGDnVlZWVlRUtMHK5OTk1PWu1lJQENdfH6edFlde+d02paVRXFy+8Uau7LIJXbvG7rtH9+6Rlib8tr6SSC4pS4vCiMKtts+ioigri6KiGDUqrrkmIuLpp+Pkk7dgD8XFUVi47f7MKcmpSX5A3A7OPTfOPTfmzo2jjorJkyMiatWKV1+NrKxISoq0NBNC+AHAzmrhwoXXX3/9woUL1195yCGHXHHFFZt+4hdfVNzO4dRT44wzDHJnMSa637ugUVyYExlbbZ95eVFYGDffHN26VVzKtUOHLdvDww/HO+9ssz/zuAu6dYsLHfvtpWbNuO22WLkyImLt2rj77li2LA46qOIfBUD4AcC29dZbb63rty5duuSud9G9KVOmTJgwoXx5zz33POigg8qXp0+f/vbbb69duzbt+/9Wn5KSsm55zpx466048MCKX+0rKYm3347Fi2PRoop/4J88OZ5+uvybbu6F/jIz47jjYtGi+PDD6NTJoduakpvtkXbcHltxh19+GZ99FhHxwQdRq1Z06RLdum14z8aflJKyLU8HdToopYMjv/1UqxZHHlmxvHJljB8fq1fHggUV/x2IiPr1o2tXc2IrSCorKzMFANhA9+7d33rrrfLlUaNGHX300ese+tvf/nbppZeWLw8ePPjee+8tX37wwQf//Oc/jx49eo89NkyFpKSk8oUXX4yzz47Ro+OggyIpKQoK4ogj4v33o1u3GD06IuJPf6o49TdqVKz3PTel/P/kAwdGUVE89phDtzVt9Z+Sbrghrr32uy8POCDGjImaNTf36QsWRPfuMXhw/OY32/gHxCQHf0e+3156KU46qWL5qKPin/80G7YCZ/wAYCOGDBlSu3btiRMnXnfddW3atFn/oWOOOWbt2rV//vOfBw4ceOaZZ/6w8ZJ+6qfmpKRISopPP42bb44zzojf/Cbq1av4UfuUU6JFi4iI116LvLzN+tinn9ErS/8MHRoFBfHHP8af/xwXXxxt28by5XHRRVFcHD17xi9/uQWvykFP7PfbgQfGk09WLC9cGKefHhHRp0+ccsrGnzh9+vQ//elPBQUFG6zPzc0dMmRILZeLQfgBwI/p3r37okWLsrOzMzIykr9/j7zU1NScnJxjjz22T58+7du3X7ly5dixYwsKCiZMmJCfn//GG2/UW+/WCm3atPnhCcBy8+bFc8/FBRdE587frdxvv9hvv4iI4cOjWjW/75dQ3n47Djoojjsu/vrX6NIljj8+pk+Pd9+NNWti8uQYOTIi4qCDolEjo9rVNWpUEXsRMX58lH/44LPPKm7X2blz5OR8b/vS0tKCgoK33347IyOjdevW69YvXrz4n//852GHHba7m4Qg/ADgx/Tu3btevXq9evV69tlne/bsuW79a6+99sgjj7z00kv169ePiLlz555//vnz5s0rKSkpLi6+6KKL1j/jd+eddw4aNMgw2aimTePBByMi/v736NevIvj79jUYvtOmTcVFgIYOrXiT/POfcfjh39umWbNmDz/88KmnntqkSZNbb7113fqpU6f26tVr6NChZ/g3JIQfAPzo/yNTU9PS0tauXVtaWrr++pKSkqKioqpVq5ZftaV+/fo33nhjfn7+O++88/LLL//2t7+tU6fOuo07rXe5lSeeiPHj4957o2nTrf9qBw6Md9+NSy+Nq67a3KvCbE+FhXHjjTFt2g5+GSeeuGU3TthaJk+OG2+MY46Jrl1j/ft9JCdHenpExJFHxrBhERHjxsWoUVG3bvz2t1G7tr+FxBdfxG23VfwzQfmbpPzSUOtLTk5OT09PSUlJTU1NL39LRURElSpVCgsLN/gvGMIPANhQdnZ2z549Z86c+dVXX7Vs2TIixo0bl5+f37lz53WX7qxRo8Zpp51WHoRvvfVW7969f+yznR99FDNnxrp/jq9TJ3r2jOzsjX/r8muFvv9+dOiwWXf269w5pk+Pu+6KwYN3xvArKYlRo2Lx4thzzx3zAsrK4qOPoqgocnOjQ4f4/qd3t62pU+Pdd2P+/PjNb6Jdu/jww41ss88+sc8+ERF//Wt89lkUFMTo0VG9ejRAFpuNAAAatUlEQVRsGPvv7y/iLmfBghg/vmL5m29iwYKIiJ49ffYb4QcA28bee+/9+OOPn3322XPmzPnTn/4UEbfcckv9+vVvuummzMzM/3HnBxwQjz0WP7abq6+OO++Ma6+Nl16K6tUTZJ59+8ZP3dFwG5Znr17x3HORlxcvvbRdw+/ZZ2PMmBgxImrU+OmNL7oozj8/Zs6Mfv1i7tw4/fSKkzzsUsaN++53/Lp2rfioZ9WqBoPwA4Bt9L/J1NQaNWoUFhauXbu2fE1+fn5ZWVn1rZFiaWmbKoHMzEhOjtWrN7WHBx+M1NTo37/SzDM9fbPiZxuFX2pqrF37EyPdukpL47bbYu3auPDCqFlzs2ozIyMiomnTGDIkVq2KJUviV7+KiDjzzOjSxd/IBLdqVdx2W8yZEzVqxE03Vazcffct+FszZsyYX5W/Y6K8FateffXVHTt2NFuEHwBUYmPGRHp6ZQq/XU1ZWbz8cnTrFr16bdkTa9SI8huFvP56/OtfEREffRTFxbF06XYNV7aDtWtjwoTIz4+IyM+PSZNi4cI4+OBYL9+2wLJly6ZOnRoRn3/+eVpa2hFHHNG3b9+cDa4BivADAGCn0qVLtG0bEfH738dNN0VpaSxbZioJZenSuPzymDq1Ivgfeij23juqVPmZezv66KOHDh0aEeeee26tWrVuvfXW7B/7NWKEHwCwgfPPP//TTz+98MILI6JTp06d17/v3pbo3TvGjo0rr4wLL4zGjX96+x49IikphgyJc8/9/9u79+go6zvx459cSAhJGNEAXgABBRFcBUFhQZSbUrUHZNUq/WERK6Io8IPd7q7tKT2HFStqu8uRekU9nhVEt7bqeoGqcGoRy0V+iCAgiCKaFkOUSyUJZsjvj8xyWxbCgiUzvF5/PfPNzDR+nkmaN8/M88Rel+aKiPjzn2PatOjYMXa/h2vGjFi1KiZNimbN0my8v/pVrF6952bfvqmrVD/+eCxbdojHXnddXHRRbN8eDzwQf/rTnvWrror+/Y/xf9fq1fGrX8UVV+x/5v3DUlAQBQUREddckzr7S0T07u2HMhPMnBnvvBO5uTFkSOrze/n50aFDHMnxuUaNGjVr1qz2t9aSJUsefPDBMWPGaD+EHwDUyeDBg9esWTNt2rSIeOGFFy4+0GetPvzww3Xr1lVWVi5ZsqS0tDQi8vLyzjnnnILaP9sjIuLii+Orr+KGG+K66+oUfl27RjIZ/ftH//77h99XX8UTT8R998WAAamVN9+Mb76Ju+9Ov/G+9FKsXBmnnx4RsWpVNGiQCr/XXou33462bQ/8qJ07Y8WKOOecuOiiqKiImTNjx4445ZRIJmPFijj99GMcfhs2xDvvxLJlcdNNqUN2uxUVRY8e0aTJ4T1hv37Rr5+fxQxRWRkrVsSiRbF0aZSUxLhxR/8SL5dffnllZeVTTz21YMGCbt26NUu7fxBC+AFA/TRt2rSnn35627ZtY8eOzc3NjYjmzZs/++yzZxyryxeklUGD4s47IyJGjNhn/bLL4q67DvyQ0tLUxax3u/HGGDEitm3bf/2YeOaZWLQoZs48wNGbdu3iqadco++4VlYWY8fGsGHx938fOTnxLX0E79JLL23WrNkdd9zx05/+9O9q/zUF4QcAHFyfPn3uu+++iOjUqdMB7zBw4MBW+x7FKyoqanK4h3X+m5Yt4667YuHCeOutOOWUuPXWeP75WL48cnJi3Lj9DyWlr8aNo2XLiIi9jo/WzjC1fkD/dSXFlCZNomXL2LLlf//5qKNi5854+OGorIyhQw/8zefnR4sWfqSOa40bx4gR8emnMXVqNG4co0ZF8+ZH9IQbN258+OGHV65cuXHjxl/84hejRo0qKioqKioqKSn54osvpk+f/s0331x33XUmL/wAgEO48MILL7zwwoPc4corr7zyyisP+TwnnBDnnhsbNsRpp9XpMuunnBLjxsWECfHWW9GiRXTtGvPnx9Kl0bp1/MM/pA4UVFXFmjVRVBQ+yFMfVFfHzJkxaFBce61hcGCJRIwcGf/yL/Haa5FIRJcuqd8GOTlx1lmpS3oclu3bt8+fP7/2s3yLFy++6aab/utfGfLPPffcL774Ys2aNcaO8AOAv55u3eLBB+Of/inKy+OWW+r6qB/9KEaPjvXrY/z4GDs2/vEfIy9vz4fENm2KMWPie9+La64xYEgbo0bF0KFRXh7//M+xcWMqCJ9+es9ZfOqubdu2Tz755K5duyIiLy+vcePGteunnnrqQw89VF1dvXsF4QcA/DUUFkbr1lFWdngn5a89GlBcHDfcED16xJln7vPV6urYsCEKCo703WLHiU8+iYkT63Qt9YjoFouHxAuH9fwNosGoK25qf0kro+bgmjWLZs2iefO47rooL4+IqKmJGTOipiY6dIgbbjiMp2rYsGHbA50HKS8vr/VRP28Mwg8AqIvs7DjzzKiujo8/jjZtDuOBzZvHhAn7L375ZaxfH23axBF/nPB4UV4eL78cWVl1rLgNQ+I/Dy/88vNHTB8S5wk/6qS4OG69NbW9ZUv88Iexdm189lmcd96eOxzWLwoQfgBQLxQUxN13x2OPxT33xCOPHOmzzZsX06bFz362589EDq5Dh3jiicit219ATaJ/xGG+8S47O3VtCjhMRUVx771RWRlLlsTQoanFXr3i0UfNBuEHAOkmJyfato0+fWLBgpg8OW64oU7X9Dug3/wm3n8/Bg2K885zxK+uCgujY8f9zwh6sPQLk+Wv9Xd5btRe/yUnJ66+OrWYlRWTJkVE9OkTB7qGKAg/AKjHBg6Mhg1j9Ojo1CkqKqJRo4Ndt2A/W7bEpk0REbNnR0lJjB9vnJBROnRIxV5EvPVWjByZ2q79HG/Llv+bM3+C8AOAY6Nz53jiibj//vjoo+jW7TDezfW738U990RE3Hxz1OESEkB6/6J45pmIiBdeSL3/8+GH46AXlwHhBwD1SSIR558ffftG27aRmxtTpqTWTzsthg6NnJx97rx4ccydm9qurIxLL42I+Nu/9WkyyHCbN8frr0dEZGWlfvBPPNFUEH4AkFYaNIjRoyMiFiyI738/tXjOOdG9+/4fQvv97+Ohh1Lbw4btqcR0VFMTmzZFZWXqZkXFPl/dti0++SQi4uuvD/1U5eXxySdRXh47d+6z/uWXqSeJiBNOcGl70syOHfHFF6ntJUtSP/sTJsTYsWaD8AOAdNapU8yaldpevz5uvDGSyX3ucMkle+6Q7tfrq6mJSZNi6dLUzdWro2fPPV995ZVYsSIiYu3aONCVyfYxfXq89FJUV8dnn+2zPmPGngOkt94aN97oJUY6effd+NGPUtsdOqR+9lu0MBiEHwCkuUQievRIbTdrFu++G8lkLFkS69bF1VdHgwbRo8eeO2SAjh0jLy+13aNH9OqV2h40KHVWw9r1iy76H5+hqCiGD4+ystTNiy5KXdAiPz+GDt2nA087zeuL9FBREc8/H5s3x44de37eO3TIqJ99jqGsmpoaUwCAemjKlHj++XjzzSguzoS/aPv3jyuvjJ/85Nh8A8lk9O8fv/999O4db75Z98s5wLf+yvzyy6iujojYujVuuSXWro3LLounnjIbjjJH/AAA4Nj46quYMCE+/TQioqAgbr89Tj45TjrJYBB+AEDaWrhwzylq/sp27YrSUnuAemTevFi9Or75Jk46KYqKIiIKC6NXL5/lQ/gBAOmsuDjmz4958+IvfzEMjl9VVakz1s6aFf/xH9G8ebzwQpx1lsEg/ACA9JeXF5MmxdatsXRp3HmneXD8mjcvfvnLiIiBA2PWrMjPd/4hhB8AkClycqJ794iIFi1i7dpj+Z20axdZWXYIx0xhYbRsGRFRVRUbN0ZErFsXPXvG2WebDcIPAMgUHTvG448bA8ev3r2jd++IiNtui8mTU4tTpkSrVhERBQWRnW1ICD8AAMgIo0bFFVektufPj+uvj+LimDw52rQxG4QfAHC8Wrt27cKFC/db7N69e7t27QyHdNS5c3TunNrevDk+/zxyc2P27CgujhYtok8fE0L4AQCZZdeuXbt27dp7JScnp3YlJycnIpLJ5Lx580aPHr3fA6dNm9a2bdva+0D6GjEiRoyI8vK49NJYtiy++13hh/ADADLOiy++OGPGjN03W7du/bOf/eyRRx5JJBIjR46MiAceeKC0tHTWrFn7PXDx4sVTp06dMGGCGZIBiopiypT4t38zCYQfAJBx3nrrrffffz9rr1Ntbtmy5aWXXvr1r3/dtWvX2pVFixYVFhZec801+z329ddf37BhgxmSGfLz49JL45VXYv16w0D4AQCZ5ec///l5552399G8995777LLLisvL98dfgAIPwAgLa1evXry5MkDBw685JJL9v6cXps2bR566KGdO3e2b9++duX222/PzfVHC4DwAwDSTVlZ2axZs4YNG9alS5e915s0aXLttdfuvdKrV6/9HltRUbFgwYJEInHmmWeaJMAhuUIkAJB+ysvLx48f36ZNm7Fjx5oGwCE54gcApJPp06cvWLAgLy9v1KhRffv2zc/PNxMA4QcApI2lS5eWlZXtvVJYWHjBBRfU1t2OHTsWL168cuXKzz//vKSkZPDgwS1atDA0AOEHAKSTe++9d86cOXuvtG/f/sUXXzz55JMjYtOmTXfcccfYsWMnTpyYnZ1dVFRkYgDCDwBIM8OHD+/Tp0/t9qOPPlpcXHzbbbcVFxdHxPz585977rmbb765d+/eTZo0MSsA4QcApIFEInHxxRdv3Lhx/fr1bdu2jYjLL79891ffeOON5s2bX3/99RHxwQcfLFy4cPPmzT/+8Y9rj/7VWrNmTTKZ7Nixo2ECHJyzegIAx0aHDh1mzJjxyiuvzJw58+D3fOCBB9atWzd16tSmTZvuvT59+vSpU6eaJMAhOeIHABwbeXl5J5988g9+8IPly5ePGzduv6926dKlZ8+etdtbt25dvnz5XXfdtd995s6d26lTJ5MEEH4AQL02ZMiQ7du3z549e7/1yZMn9+3bt3a7Xbt2H3/88aJFi/a7T1FRUbt27cwQQPgBAPXd4MGDL7nkkv0WS0pKdm+PGTPmpptuOuBjGzVqZIAAwg8AqO8SiUQikTjIHUpKSvbuQAAOl5O7AAAACD8AAADSmbd6AkA9dVH8oSRW5sWIiHzTgOPE5fHqlvgyYphRIPwA4LjQKxb0iucj/o/wg+PHwPhdxHrhx1HnrZ4AAADCDwAAAOEHAACA8AMAAED4AQAAIPwAAAAQfgAAAAg/AAAA4QcAAIDwAwAAQPgBAABQD+QaAQBA/bdz584dO3bUbjdo0KCwsNBMAOEHAJBR3n777SlTptRu9+zZc+LEiWYCCD8AgIyqvmeffXbOnDm1N8vKys4444zvfOc7J510kuEAwg8A0tyuXVFREbn+//p499Tjjz/25JO7by5duvSO22+f+9prJ3XubDiZprraDBB+AHCc+eijGDFC+BHvvbf/ytdfx513RiJhNplmxYro1MkYEH4AcNw4++y4/HJjICIOEP9ZWVFQEE7xknm6d4/zzzcGhB8AHDcGDYpBg4yBiMgaNSpr/fqampo9K0VFcffd0aWL4QB14Tp+AAD13ciRI8eMGbP75gUXXPDEE0+0bt3aZIA6csQPAKC+69atW0VFxbp1n/3hD9G2bVxzTferrrrKWIC6y9r7PQMAANRPu3btKi1NXnZZjBoVt9+eleuUP8Dh8CsDACANZGdnN2iQnZUVOTnO8woc/u8QIwAAABB+AAAACD8AAACEHwAAAMIPAAAA4QcAAIDwAwAAQPgBAAAIPwAAAIQfAAAAwg8AAIBjL9cIAADqiWeeiffe+x+/+vXXsWlTvPhifPbZIZ5nwIAYMMA4AeEHAFD/vPdezJlzsDu0bBmbNx/iPhHRurXwA/aRVVNTYwoAAPVBaWls23YUnqekJEpKjBMQfgAAAMcNJ3cBAAAQfgAAAKQzJ3cBAKinli+Pl18+9N0aNIjvfz9OO83AAOEHAJBu1q6Nxx8/9N0aNowBA4QfcDBO7gIAUE9t3hwff3zou2Vnx1lnRVGRgQHCDwAA4Hjl5C4AAADCDwAAgHTm5C4AAPXd3LnxwQf7rOTlxZAh0bSp2QDCDwAgI7z8cvz7v++zkkhEjx7CD6grJ3cBAKjvVq2K0tJ9VnJz4/zzo7jYbADhBwAAgJO7AAAACD8AAACEHwAAAMIPAAAA4QcAAIDwAwAAQPgBAAAg/AAAAIQfAAAAwg8AAADhBwAAgPADAABA+AEAACD8AAAAEH4AAADCDwAAAOEHAACA8AMAAED4AQAAIPwAAAAQfgAAAAg/AAAAhB8AAIDwAwAAQPgBAAAg/AAAABB+AAAACD8AAACEHwAAAMIPAABA+AEAACD8AAAAEH4AAAAIPwAAAIQfAAAAwg8AAADhBwAAIPwAAAAQfgAAAAg/AAAAhB8AAADCDwAAAOEHAACA8AMAAED4AQAACD8AAACEHwAAAMIPAAAA4QcAAIDwAwAAQPgBAAAg/AAAAIQfAAAAwg8AAADhBwAAgPADAABA+AEAACD8AAAAEH4AAAAIPwAAAOEHAACA8AMAAED4AQAAIPwAAAAQfgAAAAg/AAAAhB8AAIDwAwAAQPgBAAAg/AAAABB+AAAACD8AAACEHwAAAMIPAABA+AEAACD8AAAAEH4AAAAIPwAAAIQfAAAAwg8AAADhBwAAgPADAAAQfgAAAAg/AAAAhB8AAADCDwAAAOEHAACA8AMAAED4AQAACD8AAACEHwAAAMIPAAAA4QcAAIDwAwAAQPgBAAAg/AAAAIQfAAAAwu9oKivb/OGHa40eAAAgY8OvsrJy0qTJRg8AAJCx4dewYUNzBwAAyOTwAwAAQPgBAAAg/AAAAKi34de4cXFEbNu23fQBAAAyM/zy8/MjoqqqyvQBAAAyM/wiIpFIfPXVV6YPAACQseHXsePZmzeXmz4AAEDGht+pp57y0UcfmT4AAEDGhl/z5s1XrVpt+gAAABkbfu3anfnppxuTyaQdAAAAkJnhd+KJTSLiyy+d3wUAACBDwy8nJ+ecczotW7bMDgAAAM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Lorenzo Enríquez - García, Henry Bory, Carmen Mantilla, Carlos Miranda
Investigación y Desarrollo • Volumen 9 • 2015 • Julio - Diciembre • Nº 1 • ISSN: 1390-5546
24
El método de control de frecuencia por cargas lastres emplean-
do controladores electrónicos presenta ventajas de regulación
más eciente, los esquemas de control son más robustos exi-
bles y exactos; no presentan desgastes, pues no hay piezas en
movimiento; ni requieren mantenimiento necesario de regula-
dores mecánico-hidráulicos.(Mare J & Odello L, 2001),(He-
chavarria M & Bell O, 2008),(Mendoza P A, 2006).
Actualmente nacional como internacionalmente en las μCHs
en las que se regula frecuencia mediante cargas balastros, para
el control de la potencia a disipar en cada una de las tres re-
sistencias lastres se emplea un convertidor de corriente alterna
en corriente alterna (CA-CA). (García J A & Domínguez H,
2004), (Abreu, 2006),(Kurtz V & Anocibar H, 2007b), (Kurtz
V & Anocibar H, 2007a), (Kurts V & Botero F, 2014), (Fong,
2008), (Dihn S, 2010), (Suárez T, 2010), (Peña L, Dominguez
H, & Fong J, 2013), (Vasquez H, Pinedo C, Palacios J, & Ra-
mirez J, 2014), (Bory P, 2011).
(Kurts V & Botero F, 2014), proponen como alternativa del
control de la potencia a disipar en la carga balastro, un recti-
cador trifásico tipo puente a diodos (puente de Graets) con un
mosfet de potencia, que actúa como interruptor en serie con la
carga, al cual con el objetivo de mejorar el factor de potencia
a su entrada se conmuta por modulación de ancho de pulso.
Este control tiene el inconveniente que emplea dispositivos de
potencia de recuperación rápida que son más caros y están me-
nos disponibles que los dispositivos de misma potencia pero
conmutados a baja frecuencia.
Se aplican nuevas formas de conmutar a diferentes conguracio-
nes de puentes recticadores con carga resistiva inductiva (Bory
et, 2006) y (Bory et, 2008), se demuestra que dependiendo de la
forma de conmutar a los componentes, el puente puede consumir
o aportar o ni consumir ni aportar potencia reactiva. La dicultad
en la aplicación de estos métodos ha estado en la necesidad de
emplear varios dispositivos de potencia (MCT, IGBT, GTO, etc.)
que permiten lograr estas formas de conmutar pero que son más
caros que los tiristores de la misma potencia.
El objetivo del presente trabajo consiste en conmutar con án-
gulo simétrico al esquema recticador propuesto por (Kurts V
& Botero F, 2014), para el mejoramiento del factor de potencia
del sistema eléctrico de las micro centrales hidroeléctricas en
el control de la potencia disipada en la carga auxiliar.
Los parámetros analizados son corriente efectiva, potencia ac-
tiva, reactiva, aparente, de distorsión y factor de potencia.
La sección 1 presenta una introducción; la sección 2 Metodo-
logía se subdividió en los acápites 2.1, establece reseña de las
expresiones de los índices de rendimiento y energéticos del
convertidor de CA-CA, y el 2.2, donde se realizó un análisis
del recticador trifásico con interruptor en serie con la carga
conmutado con ángulo simétrico obteniéndose las expresiones
matemáticas de índices de rendimiento y energéticos en fun-
ción del ángulo de conmutación; la sección 3, se desarrolló un
ejemplo de aplicación a las micro centrales hidroeléctricas, se
comparan el recticador trifásico y los convertidores de CA-
CA de acuerdo a los índices mencionados y se demuestra la
ventaja del empleo del recticador con respecto al factor de
potencia a la salida del generador.
Figura 1. Esquema de simulación de convertidor CA-CA.
METODOLOGÍA
Reseña sobre el convertidor de CA-CA
C
omo el sistema es trifásico existe un convertidor en cada
fase que regula la cantidad de energía transferida del al-
ternador a las cargas balastros, se considera que los conver-
tidores están conectados en estrella, son conmutados con el
mismo ángulo de disparo y emplea la conexión a cuatro hilos,
basta analizar uno para obtener los resultados del conjunto.
La Figura 1 muestra el esquema de simulación del convertidor
CA-CA en Psim para una fase, compuesto por fuente de volta-
je sinusoidal (Vf, fase del alternador Vef = 110 V y frecuencia
60 Hz); convertidor CA-CA constituido por tiristores (T1,T2
en anti paralelo), gatillos (G1,G2 pulso de disparo a tiristo-
res, frecuencia 60 Hz); dos puntos de conmutación (ángulo
de disparo deseado), resistencia de carga (carga lastre en fase
R=4.03 Ohm) y marcadores de corriente (IL) y voltaje (VR)
para visualizar las formas de onda de corriente de entrada al
convertidor y voltaje en la carga.
Para el semiciclo positivo del voltaje de entrada se dispara
T1 un ángulo α después del cruce por cero, haciendo que éste