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4gXI6gatWqZmZmVNXIDRo06PLly+TrSe/bty8qKsrR0ZG2rEDsHv769eu6VDAxMdmwYYPsi79qSshTWKUNawGQCyIsjfDwcJJnaR/FxMQcPXq0VatWhDVBPP/888/27duFtCxUqNDkyZM//qeTkxNVHyIiIhBhs7158yY2NpaqmvITw+zZs/fu3ctOGrRlg4KC5s2bR1tTiLS0NE9PTx2LjB49+rvvviPpj5TwFBZAOERYGlQTuXLy9/dHhOWFu7u7wJa//vprzidDhBE2MjKSqhTvrl+/TjhVX/mJwcLCIiAggPx0sWHDhjlz5ki/ENWiRYuePHmiSwX2K+bl5UXVHynhKSyAcIiwBBISEgQ+gdPInj17Hj16VKpUKfLKQOvw4cMnTpwQ0rJEiRI///xzzn8pWrSonZ2djhfsbJjR9ZEhzOX6RIsWLb777rszZ84Q1mRvy6NHj7Zp04awplppaWkswupYxMPDQ7E75eZObYQ1NzevUqWKNJ0BUDhEWAJr1qzJyMggL/v+/ftVq1ZJvFUpaGHq1KkCW06fPv3z3YOdnJxIIuy9e/cSExOxkIWRvq+o9TWenp6tW7emrcluzySOsMHBwQJXVv4aKyurUaNGUfVHYmoHEjg6OubJk0eazgAoHCKsrrKysgIDA0UqziLsjBkzcMJSss2bN1+6dElIS3t7excXl8//nUXYgwcPknQmIiKCPMTwiDDCFixYsEyZMlTVRNWyZcsKFSrcvXuXsObx48cJqwmh+6CsQYMGFShQgKQz0lP7FJaLzwQApIEIq6sDBw7cu3dPpOJPnjzZtWvXjz/+KFJ90FFmZia7xxDY2Nvb29T0C79xzs7OVP1BhM1GGGFr1KhBVUoCffr0mT17NmHBK1euSPlonx1O99eO30ewRoiwAJpAhNWVGBO5PqmPCKtYgYGBd+7cEdKyevXq/fv3/+L/wowuWvHx8QkJCVTV+EoMPXv2pI2wWVlZ58+fb9u2LWHNXOi+wJyjo2O1atVIOiMLtQMJeBnWAiABRFidxMXFHThwQNRDHD9+/Pbt2xi/r0Bv3rzx9fUV2NjPz+9rS6yzF9fS0lLgtl65w4wuI0MdCJuN9bZgwYKvX78mrHnr1i3JIuzu3bt1rNClSxeSnsgFT2EBhEOE1UlgYOCHDx/EPsqKFSt+//13sY8Cmlq0aNGzZ8+EtKxfv34uV1YTE5MaNWr8888/uneJ3VO9ePGC07nYVAxwOYKP2G1Sw4YNqYZWZ4uOjiaslvuBdD9Wp06dSDojl9yfwrJfbTs7O8k6A6BwiLDae/fu3Zo1ayQ4UHBw8OzZsz+fyQ4ySkhIWLhwocDGs2bNyr2Bk5MTSYQ1Uj2I/eGHH0hKccqQIyxTt25d2gh7+/Ztwmq5OHLkiI4VWP779ttvSTojl9yfwnL3bgQQFSKs9nbs2CHwIZyOXr16FRoaOmzYMAmOBQKxVJqcnCykZcuWLVu0aJF7G9o9uhBhqUqVLVvW2tqaqpo0KlSoQFvw8ePHtAW/Jjw8XMcK7PdIyVsBC5F7hOVrWAuA2BBhtSf2RK5PjoUIqxz3798X/uoLmV5DuCiBgc/o+vDhw40bN6iq8fjQy97enrZgSkoKbcGvOXv2rI4V6tatS9ITGeU+kIDHNySAeBBhtRQVFXX69GnJDsdySUREBO+fkekNT09PgZtZdO3aVchltVatWsbGxiR7ohr4jK7o6Oj09HSqajwmBvJVbKWJsImJiXFxcToW0YNpr3gKCyAcIqyW/P39pT/i2rVrJT4ofO7atWsCl/4xMTHx8/MT0tLKysre3p5kUfqHDx8+e/asWLFiupfikSEvR5Atf/78tAWlibAkL1z58uV1LyKvvHnzfu1ulp1PqlevLn2XABQLEVYbqamp69evl/igW7ZsWbRokY2NjcTHhU+4u7sLXIZiwIABwpeodHJyotpXKTIysl27diSluGPgc7mYfPny0RYk+XBALZLhH+XKldO9iOxYin379u3n/16hQgXyFxeAa4iw2ti4cWNSUlLubaytrdW20UhaWlpQUNC4ceMIa4Kmzpw5s3//fiEtzczMZs6cKbwyi7A7d+7Uslv/KyIiAhFWd+wVrFq1KlU1yZCnHPLHul9Essehra2t7kVkZ2Fh8cUIy+MNFYCoEGG1IWQqz+LFi6dOnfr06VPC4wYEBCDCysvd3V1gSxcXF40+1sSMLhKEEdbBweGLGwIr3Pv372kLSvPkT/eBsEZSdVVsiYmJcncBgA/8naBld/78+cuXL+fepkiRIv369YuOjp4zZw7hoW/fvn3s2LGWLVsS1gThdu/e/ffffwtpyS6l06dP16g47bpaVKX4kpqaSjUYw4jPgbAM4Wy2bNI8hSVZuks/IiwACIQIqzEhj2CHDBmSN29eFxeXefPm0W7fxY6OCCsL9jp6eHgIbPzzzz8XL15co/rlypWj2hqUpYH4+PgSJUroXoov165dIxy4yenntpxG2BcvXuheJE+ePLoXAQBeIMJqJjExcevWrbm3MTY2dnV1NVKFkjZt2tDulBMWFsYCSsmSJQlrghDBwcFRUVFCWtrY2Pz6669aHMLJyYlqpbbIyMgOHTqQlOII5nIxXxxGqQtp7oVevnypexF2B1i4cGHd6wAAFxBhNbNu3Tq1DzlatmxZqVKl7L+7ubnRRtjMzMxVq1Z5eXkR1gS1WCwQPjeL5VftFo4gjLARERGIsDridCBBWloabUHy7b6+6M2bN7oXefXqFSIsgOFAhNVMQECA2jYstn78e8eOHUuXLv3w4UPCPrAIO336dHxkJqXly5c/ePBASMvixYv/8ssv2h2FcDisYc7oIoyw7CakVKlSVNWkRL7rtTQRluTh8fPnz6XpLQAoASKsBo4cORITE5N7Gzs7uy5dunz8TxMTkxEjRmi0uJJajx8/3r17d/fu3QlrQi5ev34tfFoeu7uwtLTU7kBYlEBHhBGW01EETHx8PG1BaULhu3fvdC9y+fLl+vXr614HALiACKsBIRO5hg8f/snzURZhfX19aVe6YT1BhJXMvHnzBA7UK1++vIuLi9YHql69OnvzkLxVnjx5Ymhjpp8+fZqQkEBVDRH2I2l2bWV3+7rPfI2IiMiehwAAhgARVqhHjx7t2bMn9zbsLDxy5MhP/pHFiI4dO+7evZuwM8ePH4+Ojq5cuTJhTfgilgWXLFkisPHMmTPNzMy0Ppa5uXnVqlVJtikyUj2INagIe/XqVcJqnA6ENaKOsDY2No6OjoQFvyZ//vy6L8dx9uxZks4AABcQYYVatWqV2sdjHTp0KFOmzOf/7ubmRhths7KyVqxYsWjRIsKa8EXe3t4C58dUq1Zt4MCBOh7O2dmZKsJGRER06tSJpBQXsBxBNpJtrj5q1KiRsbExYcGvIYmwUVFR7E6G39sPANAIIqwgLLyuXr1abbOcE7lyatOmjb29fWxsLGGXgoODZ8+ebWFhQVgTPhEdHb127VqBjf38/HS/2Ds5OW3atEnHItkMbYMDwgjLXscaNWpQVZMYbZRv0qQJYbVcUK0+u379+gULFpCUAtBj7I5xz549J0+eZGcMdt+blJSUlZVlbW1drlw5dgPfokWLTp06FSxYUO5uqoEIK8ju3bvVbh5Tvnz5tm3bfvF/sSviyJEjhS+ML0RiYuLmzZuHDBlCWBM+MW3atMzMTCEt69at27VrV92PiEUJtEYY3dhJ3MrKiqqalNjN9q1btwgLfvfdd4TVckH1Aw8JCfHy8ipQoABJNQD98+DBA/Y7Ehoa+vkyIAkq7NoRFBRkbm7et29fHx+f0qVLy9JPIRBhBfH391fbhoXUXB7CDRs2jL1pSGbd5uwVIqx4IiIi/vzzT4GNZ8+eTXJQwkUJnj179vDhQyWffQh9+PCBagCGEc+jCGJiYgi3NihRokTDhg2pquWubNmyFy9e1L3O8+fP582b5+vrq3spAD2Tmprq7e29bNkyIXv4sTMJC7KbN28eO3YsSy/K3L0ZEVa927dvHz9+PPc2ZmZmw4cPz6VBsWLFunbtum3bNsKOsYzF7pbq1KlDWBM+cnd3F9iyRYsWVLv+svdJ8eLFnz59SlKNvT0MJMKy6Ea4sSq/EZYkBX7Uq1cvExMTwoK5qFixIlWp33//3c3NjdNlfQFE8vDhw06dOl25ckWjr2Ln1QULFhw5ciQsLEyBVxNEWPWEbGfQrVs3Fj5yb8POqrQR1ki1upaQQbqgqcOHD6u9b/mI6hFsNicnJ3Z0klLsJifnKsV6jHY5An4j7LFjxwir9evXj7Ba7ggjbGpq6pAhQ9hFl6ogAO8uXbrUoUMHrZcruXz5cr169fbt2/fNN9/QdkxHiLBqsFuQ4OBgtc2+NpErp+bNm1epUuX27dsU/fr/Nm/e/Ntvvyl/zDV3pk6dKrAly4jsd5vw0M7OzoQRlqSO8mFr2WzC77vUYpmS9o2t9nCE1ViUX7BgweTJkwlrAnDqyZMnHTt21HG5PfblrAi7ptjZ2VF1THeIsGqwjJiYmJh7m6pVq37//fdCqrm4uEyaNImgW/9KTU0NCgrSekdT+CL2orN7ViEtTUxM/Pz8aI+OGV1aIIywefPmlWYxf3KxsbGEK2qNHTuWqpQQ5E93pk+f/u233zZv3py2LABfMjIyunXrxlKs7qVYke7du586dYqdJHWvRgIRVg0hO3IJ3w9myJAh7MRKOGjPSDXOARGWUGZm5owZMwQ27tevX/Xq1Wk7QBhhExIS4uLiypYtS1VQsQgjrKOj4ycb7PFi586dVKVsbW0/36VFVOyI1apVI5yT9+7dO3a5PXv2rDRbMwAo06xZsy5cuEBV7fz583PmzPHy8qIqqCNE2NxcvHjxn3/+yb2NhYWF8GUBChcu3KNHjw0bNujasxxu3bp1/PjxFi1aENY0ZCtXrrxz546QlmZmZt7e3uQdcHBwYG8qqvuciIgIvY+wqampd+/eparG7ygC4WsYqzV27FhLS0uqagI1a9aMMMIaqVa+bN++/enTp7+44wyA3ouPj//tt99oa7KCo0aNUjv5RxqIsLkR8gi2d+/eNjY2wmu6urrSRlgjVT8RYUmwMCR8OZ6RI0fa29uT98HExKR69epUYwBYne7du5OUUqzr169nZWVRVeN0LteFCxeo8p+1tfVPP/1EUkojLMIKOeVq5P79+02bNj1x4kT58uVpKwMon7e3N7uo0dZMSUlhV8lly5bRltUOIuxXsTv40NBQtc2ETOTKqXHjxjVq1Lh27Zq2/fqC3bt3P3nyRFGDrDm1aNEigQta5cuXb/r06SJ1w9nZmSrCGsKMLixHwAQGBlKV8vLyKlSoEFU14dq2bUv4+cNH2Sn2yJEjVatWpa0MoGTJyckhISFiVA4KCpo7dy7Vjnq6QIT9quDgYLW3Lyxq1K9fX9PKrq6utFMlMjMzV61a5enpSVjTAL148WLhwoUCG7NXsESJEiL1BDO6NILlCKKioqiuVdWqVfv5559JSmnK2tq6a9eumzdvJq/88OHDBg0abNmypU2bNuTFAZRp7969aWlpYlR+8+bNvn37evXqJUZxjSDCfpWQ5WCFT+TKaeDAgVOmTKF9vM8i7PTp0yVbh1wv+fn5JSUlCWlpY2PDXkHxekIYYV++fHnv3j39/hSVMMIWLlyYx08z2Lvx/fv3JKWWLl0q42y2wYMHixFhjVSfqnXo0GHBggXjxo0Toz6A0hAusfe5Y8eOIcIq18mTJ2/evJl7mwIFCvTv31+L4tbW1n369CGce8E8evQoLCysa9euhDUNyv3794WPw5s0aZJGA6A1RRhhjVRjCRBhBeJxFAG7luzdu5ek1LBhw+QdVd+6desyZco8ePBAjOIs5U+YMIGd29etWyfLSAkAKWm6EZdyiguHCPtlQtLMgAEDWIrVrr6bmxtthGX8/f0RYbXm6emZkZEhpGWxYsXEfpDDbnJY6KRa4zMyMrJHjx4kpRTo6dOnCQkJVNW4i7Dsex88eDBJKUdHR9mnaJiYmEyePFnUkQzsVp/dIoaEhAhczBuAU4SrRH8uNjZWvOLCIcJ+Abso7tq1S20zTSdy5fTtt9/Wrl2bdkPzY8eOxcTEVKpUibCmgbh27drGjRsFNp4+fXq+fPlE7Y+R6kEs1QlIv2d0GfJA2KysrP79+z9+/Fj3UhYWFlu2bJF+Ia3Pubi4zJ07l+Sb+pqHDx+2bNly1KhR8+bNU8KUFAAxvH79mtPiwiHCfsHq1avfvXuXe5sGDRroeLVzVdGlwifY9SwgIED4hCT4aOrUqR8+fBDSsly5crSv2tc4Ozvv3r2bpBTtnZLSGPJyBB4eHkeOHCEp5e/vX6NGDZJSOsqbN++UKVPE3q6FnS3Zt7xv374VK1a0bdtW1GMBgEgQYT/FoszKlSvVNtPlEWy2fv36TZo0KTk5Wcc6OQUFBfn5+VlYWBDW1Hvh4eHsSiaw8cyZM83MzETtTzbC4bCJiYl3796tUKECVUFFIXwKa2xsrJAYJ8S0adPmzZtHUsrX11f4/iwSYHeJy5cvj46OFvtA9+/fb9++fdeuXRcvXqz3O4CAobGysnr58qVIxa2trUWqrBFE2E/t3btX7WSCQoUK9e7dW8cD5c+ff8CAAbRLebP365YtW6jGxhkId3d3gS0dHR0HDhwoamc+Ip/RhQirlr29PS8fK0+ZMmXBggUkpUaPHs3SMEkpKnnz5v3jjz8kWwBr165dhw4dmqzCyxsAQK1y5cqJF2FZcZEqawQR9lNCMuWQIUPMzc11P5arqyv5bjSsICKscGFhYWfPnhXY2NfXV7Jly1icYre5Ahf5UisyMlIJC6CQ+/DhA+GWpFyMInj16tWwYcOEDNYXgt2SyT6F64tatWrVu3dvdkMuzeHS0tJ8fHwCAwO9vLxGjhwp47JiAFRq1Khx6dIl8YqLVFkjiLD/4+7du4cPH1bbjGo0ZK1atRo0aHDu3DmSatkuXLjA3rXffPMNYU19xQKQh4eHwMbffvutxDu1srdHeHg4SSl9ndEVExNDuJmT8iMsO1f07dv3/v37JNUmTpxI9ShXDIsXLz5+/Pjz588lO+LTp09Hjx69aNEidrOq++dsAPJq1qzZ+vXrRSqukAU9EGH/B7sLV7vZevPmzatUqUJ1RDc3N9oIa6SambFq1SramnopODhY+DO82bNni9qZzzk5OVFFWH2d0UW7HIGSI2xCQoK3tzc7QWVmZpIUnDdv3uTJk0lKiaR48eIhISHt27dXe06mxe6L2H0C+/nMmjWrXbt2Uh4agFDnzp3NzMzUzk3XQt68eVlx8rJaQIT9r4yMjHXr1qltpvtErpx69eo1fvz4xMREwpqhoaG//fabQkZbK9bbt29nzpwpsDG742zVqpWY3fkCZ2dnqlKvX7/WywXXDGFFLfZGXbx48Zw5c6hGldjY2Kxdu5aLNaR/+OGHSZMmyfKo+PLlyx06dGjSpAm7d2V/St8BAB3Z2tr++OOPYmx3x3KLQjYHQYT9r23btqldI7148eLdunUjPKiFhcWgQYOWLFlCWDM1NTUoKEiujc55sXz5cuGbAEn/CNZIhBld+hdhCVfUYr+JlStXpqpGIjY2NjAwkMVNwr0b6tevzy5pCpmKIcSsWbPYW/fEiROyHD08PLxp06bt2rVj3SC8pQSQhq+v7/bt22kfxObNm9fHx4ewoC4QYf9LyMyq4cOHm5oS/9BcXV1pIywTEBCACJuLpKSkOXPmCGzcuXPnBg0aiNqfL6pRo0aePHnev39PUi0yMrJPnz4kpZSD8Cmso6OjZHP1cvfq1auDBw+uX7/+0KFDApcrFoKduCZOnMguaeRnMFGx3u7cubNJkybXrl2Tqw8HDhxgr0ivXr3YlVtp9zkAuahYsWL2EnWENUeNGqWcHct5OpeJil0L1c5MZ1c4FxcX8kM7ODiwG/3Tp08T1rx58+bJkycVMuBagebNmydwtRH2ovv5+Yndny+ysLCoUqVKVFQUSTX9m9GVmpp69+5dqmqyjyK4fv06y0l79uxhJyKqAa8fsTOMv79/tWrVaMtKw9ramoXIhg0bPnz4UK4+ZGVlbdmyZfv27UOHDvX09CxVqpRcPQHQCLt+HT16lEUCkmosrijnEawRIuxH7Pyutk3btm1FWv7azc2NNsIaqb4jRNgvio+PF/7Yu2/fvjKuHuLk5EQVYfVvRhfLfIQTfSSey/X27duYmBj2LVy5coW9NOfPn3/16pUYBypZsuTs2bMHDRokRnHJsMjILsMtWrQQdeNZtditxapVq9avXz969OipU6cWKVJExs4ACMHuAMPCwurVq6f7GaZQoUKslJWVFUW/aCDC/p+UlJSNGzeqbUY7kSunH3/8sWjRorTLx+zatYtltRIlShDW1A/e3t6pqalCWpqZmcl7x8kiLNVg/OTk5Nu3bxMupiE7BS5H8P79+w8fPrB4mpaWlp6ezk4sr1USEhKeqTx8+PDBgwf3799nfxIOEviiMmXKTJkyZcSIEXnz5hX1QNJgb91Tp061bNkyLi5O3p6wV3bRokUsy/76668TJkywtLSUtz8AuatUqRLLA127dtUlxbL8yooobUIFIuz/YXfV7GKText2PWjfvr1IHWBRaejQofPnzyesmZmZuXr16unTpxPW1APR0dFr1qwR2Hj48OH29vai9id3tDNIIiIiEGG/5ocffiCsJi9HR8dx48YNGTJEms2QJVOxYkWWYlu1anXnzh25+/J/94QzZswICAjw8/MbNGiQsbGx3D0C+KqmTZteuHChS5cu2n2sx04pYWFh7BeQvGM6QoT9P0Imcrm4uIg624PVX7BgAe0KiCtXrvTw8FDIJBWFmDZtmsCBhpaWluwSJXZ/cke7KEFkZGS/fv0IC8qLcDkC/WBhYfHjjz+6urrq8SJQ5cqV+/vvv9mVmP0pd1/+z6NHj4YOHbp48eKFCxe2bNlS7u4AfFWlSpXOnTuXfd+VkZEh8Kvy5s07atQoHx8fRY0f+AgR1uivv/5SO9fV1NR0+PDhonajQoUKrVq1OnLkCGHNhw8f7tmzh53uCWtyLSIi4s8//xTYeOzYsXZ2dqL2R60SJUoUK1bs2bNnJNX0bEYX7VNYfrFrDAtP3bp169Gjh42NjdzdEZ2tre3x48dZcBRjwUvtXLlypXXr1u3atVuwYAGnc+bAELAYym63xo0bx4Lstm3bcg+y7MTSs2dPX19f5aw/8DlEWEGPYFkKlGBQqZubG22ENVJ9d4iwH7m7uwtsWbBgwSlTpojaGYGcnJyo3hWXLl3KysrSj088nz59SrhaKo/KlCnTtGnTjh07dujQoUCBAnJ3R1Lm5uabNm2qWbOmp6cn1apzujtw4MDhw4fHjBnj4+ODnWVAsVgkXb9+/dKlS8PCwk6dOvWf//zn3r172TunsIxbrlw59pvVvHnzzp07K2T/glwYeoRlV0Ehj+XEm8iVE3vH2NnZPXnyhLAmSz937txR4BAW6bEfxfHjxwU2njRpkkJ+ewkjbEpKyq1btxwcHEiqycsAH8FaWlo6Ojp+88033333HQuvSn40Io2pU6c2atSoX79+tOdMXbA8zZLB1q1bFyxY0L9/f7m7A/BV7AI3WEXujujE0CPsmjVr1A4KqVy5sjSDnPLkyTN8+HDaVUizsrICAgJk2aFRadgFT2DLYsWKjRs3Tsy+aIB8RhciLF/y5s3bpEmTdu3aNW/enMXWwoULy90jBWnWrNmlS5eGDBly8OBBufvyX/Hx8QMHDly9evUff/yBcQUA4jHoCMviXWBgoNpmrq6uEnQm28iRI2fPnk272s66detYLDY3NyesyZ0tW7YIXxjVw8Mjf/78ovZHOPJtZgcMGEBYUC6GE2HZPfZxlez/ZBG25r9q1679zTffGPh8TXbDuX///rVr106cOPH169dyd+e/Tp06xe4/f/7555kzZxraSA8AaRh0hGU37vfu3cu9jYWFBbvFl6I3KmXKlGnXrt2+ffsIa758+ZIFON7XNtdFZmam8MXFypYtK824EYEcHBzY7cfbt29JqkVGRpLUkZ3BLkfAfp1PqWT/p5WVVaNGjZo1a9a8efP69evL2zcZDRs2rG3btqNGjdqzZ4/cffkvduZZtGjR1q1bV65cybond3cA9I1BR1ghE7l69Ogh8Sd3LD/RRlgj1XdqyBGWXT+ELyQ5c+ZMRS0FnydPnurVq1PtrXX58uUPHz7w/tyOfQs3btyQuxeKkJycfEjFSLV+RefOnbt169aiRQs9WxFWiJIlS+7evXvv3r3jxo0j3HlYdw8fPmzfvj0L2SzOYpoXACHDjbBxcXH79+9X20z6B3LsZFe2bFnaHWjOnz/PsgvtqEpepKam+vr6Cmzs4OCgwKzv5OREFWHfvHlz8+ZN3sfnxcTEpKeny90LxYmPj1+pwu662dvYxcVFP8Y9a6Rjx46tW7eeP3/+3Llz09LS5O7Of61du/bw4cObN29u1KiR3H0B0BOGG2HZiV7tkNOaNWtKf7oxNjYeMWKEp6cnbVl/f3/2LdPW5MKiRYuePn0qsDELuwp8Qkk+HJb3CGs4A2G18/Lly8UqTZo0GTduXPfu3eXukaTMzc1nzJgxePDg8ePH79y5U+7u/NfDhw+///77WbNmTZ48We6+AOgDA42wmZmZQnYZlWtMJIuwPj4+AjeREig0NHThwoWG9jHWixcv2HctsHGdOnV+/PFHUfujHfJFCRT4pFkjiLAChatkr5+qzPe2eMqWLbt9+/YjR46wEK/dpppiYGf1KVOmnDlzZuPGjcrc7giAIwYaYXfs2KH2yVyBAgXkmrudPaaNdZKw5ps3b0JCQn766SfCmso3a9as7BWbBTYWtTNaq1WrFmE1PZjRRRhhzc3NU1JS8uTJQ1Lt7du3Gf9if3/58uWLfz1//jw2NvauSnx8PO1W0rljP66ePXuyGyF/f/8GDRpIdlwlaN26Nfv2165dO3PmzMePH8vdnf9v7969jRs33rdvX5kyZeTuCwDHDDTCslO52jZ9+/aV8S7Zzc2NNsIaqSZ1GVSEjYuLEzJjL1uzZs3atGkjan+0ZmNjQzg8Wg9mdBEuR+Do6EiVX41UgTjn6nVf230gPT395s2bkf9i3w7VihO5YK87i02urq5z5841qE9j2Ft9xIgR/fv3//333+fPny/8nlZU165dq1+/flhY2Lfffit3XwB4ZYgRNioq6vTp02qbybuyUqtWrSpWrCh8Hr0Q7Bs/deoUy2qENZXM09NTeDKYPXu2qJ3RkbOzM1WETUtLu3HjRo0aNUiqSS81NZVwvnnNmjWpSglnYWHhrDJ8+HAj1bNbdkY6dOjQwYMHRV1pIXujk127dm3YsKFFixbiHUiBLC0tPTw8WIL38/Njd7Zqd7SRQHx8fPPmzVmKZX/K3RcALhlihBXyZK5u3brffPONBJ3JhYuLy5QpU2hrsu/dQCLs9evX2XVaYOOOHTs2bNhQ1P7oyMnJiV3qqKpFRETwG2HZK0v4KbwsEfYT5ubmrVUWLlx4//599r4NCQmJjo4W6XAsObVp08bb23vatGkiHUKxihQp8vvvv//yyy/s/nbTpk20m8ho4c2bN+zks3PnTsV+BASgZAYXYVNTU9nlQW2zUaNGSdCZ3A0dOnTGjBm0TwvYufLp06fFixcnrKlM7u7uAq9PxsbGih0F+xH5ogRSbthBi3YulxIibE7lypWbpnLu3Dl2wxkaGko7rTMb+9Vg55azZ89u3bpVORvRSaZ8+fLsKjB16tTp06fLvmRBWlpaly5dtm/f3r59e3l7AsAdg4uw7M5b7VgoGxubPn36SNOfXNja2nbv3n3z5s2ENd+9e7d69Wq9f/oSHh4ufHuIvn37Ki3HfI52UQKuZ3TRRljaqXKEGqh4e3vPmzcvKChIjMGyBw4caNWqFfuTnfHIiyufo6MjC47sd4EF2ey9IeTCXtxevXodP368Xr16MnYDgDsGF2GFjCIYNGiQhYWFBJ1Ry83NjTbCGqkWxJ06dSrXs3nUcnd3F9jS1NTUx8dH1M6QqFChQoECBVJSUkiqXbly5f3794TTmKREGGELFy5sZ2dHVU0M5cuXZ6csDw+PX375ZdeuXeT1z58///333x85cqRo0aLkxblQp04dFuLZTS+7sT9z5oxc3UhNTe3YsePff/9dsWJFufoAwB3DirAXLly4dOmS2mbyTuTKqWnTpg4ODjdv3iSs+eDBg71793bu3JmwpqKEhYWdPXtWYOPhw4ezdChqf6jUqlVL+PeVu/T09GvXrtEOTpAMYYRV/tP3bGXKlNmxY8f+/fvHjh0bGxtLW/zq1autW7f+66+/DHBEwUdNmjQ5deoUy7IsyF6+fFmWPiQkJLRr1y4iIsKg1osA0IVhRVghj2CzU6MEnRHI1dV1/PjxtDXZz0FfI+yHDx88PDwENra0tCTfBU08zs7OVBHWSDWWgMcI+/Tp0+fPn1NV4yXCZmvfvv133303aNCg3bt301ZmKbZPnz6srH5/OKNWO5XNmzez00JMTIz0HWAHZTfV27Ztk/7QADwyoAibmJi4ZcsWtc2UMJErp8GDB7NMRrvZ9+HDh+/evcvL00eNhISECF+WaMyYMQr/HDkn8hldw4YNIywoDQMZCPs1VlZWO3funDVrlpeXF+1s+n379k2YMGHx4sWENTnF0nzPnj3XrFnj4+Mj/W4I27dv9/f3Hz16tMTHBeCRAUXYdevWpaen596mWLFiSttP3MbGplevXsHBwYQ1s5eHnD9/PmFNJcjIyGCXdoGNra2thQ+ZVQLaCMvpjC79Xo5AoGnTppUvX57d3NKm2KVLl7Zq1apjx46ENTmVJ08eFxeXQYMGLVu2bPbs2a9fv5by6BMnTvz++++rVasm5UEBeGRAEZaFNrVthg4damZmJkFnNOLq6kobYY1Ugd7Pzy9v3ry0ZeW1fPnyBw8eCGw8adKkwoULi9ofWixvmZiYUKWWq1evZmZmmppydgYgjLDGxsb8Lo7bv3//tLQ0dmag3aiWFbx27VqhQoUIa/LLwsJi8uTJw4YNmzlzZmBgoBirm33R27dvR40aderUKWkOB8Avzi5gWjt69KjasU3sksbO4NL0RyMNGjSoVasW4aaazIsXL7Zu3TpgwADCmvJKSkoSvsNW0aJFyUcYi83S0rJy5cq3bt0iqcYukywOyr5/h6YII2z58uW5nsA0YsSIxMRE2t1Pnjx58tNPP23cuJGwJu+KFCmybNmyn1SOHTsmzUHPnDkTFBTE7+LNANIwlAgrZCJXmzZtvranuezc3NzIR0f5+/vrU4SdN2/ey5cvBTZ+/vy5lZWVqP1RvsjISL4ibFZWFuH+q9wNhP3c5MmTT548eeDAAcKaoaGho0aNatKkCWFNPVC1atUjR46wcD9p0qSnT59KcMRff/21a9euhrlkL4BABhFhHz9+vGfPHrXNlDaRK6f+/fuzMxrVsqDZzp07d+XKFR6npX8uPj5+yZIlcveCMxERESNGjJC7FxqIjo4mnNfI6UDYTwQFBbFfYfb+J6zp7u4eHh5OWFBvsPNwx44df/755/Xr14t9rISEhN9++83X11fsAwHwyyAi7KpVq9QOYypdurSS5zFYWVn17duXfSO0ZVesWCFkiLDyeXt7p6amyt0LznA3owtzuT5XtGjRZcuW9ezZk7Dm2bNn9+7dq+TzoYwKFiwYHBzctWtXNzc3wvXdvmjp0qXjx4/na8g+gJT0P8K+f/9eSPIbMWKEwtdEZGdM8gi7cePGBQsW8P6RekxMzJo1a+TuBX9YInz37p0C5y9+DSLsF/34449169b9559/CGuye0JE2Fx069atSZMm/fv3P3r0qHhHSU5OZufnOXPmiHcIAK7pf4TdvXu32rX9TE1Nlf+J6jfffEN+oXrz5k1ISMiYMWMIa0pv2rRpkk0W1icZGRlXr16tU6eO3B0RijDCWlhYVKlShaqa7ObOnduyZUvCgpGRkZcuXeJrqLTEihYteujQIR8fH19fX9rVzXIKCAjw8vJSyIbnAEqj/xFWyESujh07lixZUoLO6MjV1ZU2whqpTpFcR1h2rf3zzz/l7gWv2E/PMCOso6Ojwj910Ujz5s0bNWpEuHkbs3r16j/++IOwoP4xNjZm+bJBgwa9evVKTk4W4xCvX79m5zd9mncLQEjPI2x0dPTx48fVNlPyRK6c+vbtO3HiRNp1tq9fv3769OmmTZsS1pSSu7s77dKYBiUiIsLFxUXuXgiSlpZ29+5dqmp6M4rgo6FDh9JG2E2bNv322294/qfWDz/8EB4e3qFDh4cPH4pRf82aNYiwAF+k5xE2ICBAbb6pWLFi69atpemPjiwtLQcOHLh8+XLasitWrOA0wh45ckSylRr1EouwcndBqGvXrhF+XKt/EbZXr16//PIL4aRGdqvMfrlYMqMqqMfY2+n8+fMtWrSgWrY5p9OnT9+7d0+xCz4CyEifI2x6enpQUJDaZrw8hcrm6upKHmF37Njx7NmzYsWK0ZaVwNSpU+XuAt+uX7+ekZHBxSZttHO59GBR2E9YWVl16dIlNDSUsObx48cRYQWys7NjP66mTZveuXOHtnJWVtbBgwfd3NxoywLoAX2OsFu2bElMTMy9Dbt4Dx06VJr+kKhevXrjxo3/+usvwprv3r1bvXq1h4cHYU0JsNf34sWLcveCb+ylv3LlSt26deXuiHpYjkCtVq1akUdYwmp6j6XYEydONGnSJC4ujrYyK4sIC/A5fY6wQiZy/fjjj7a2thJ0hhA7l9FGWGblypVTp041NjamLSuezMzM6dOny90LfRAZGWloEbZIkSIlSpSgqqYczZo1oy149erVly9fYl1S4UqXLr1r1y6WYmmXqT558iRhNQC9obcR9tKlSxcuXFDbjJeJXDn16NFj3LhxL168IKwZFxe3b98+jlaCXLVqFfkHdoaJl+GwhBFWLx/BMhUqVChVqtSjR4+oCmZlZV2+fLlFixZUBQ2Bs7PzmjVr+vbtS1jz+fPnN27cqFatGmFNAD2gtxHW399fbZvq1avzuBW4ubn54MGDFy1aRFuW/cR4ibCpqanC9100NTVlZ/9KlSqJ2iUpLVmyZPz48VTVuIiwz549I9wJSf8Gwn5Ur169nTt3EhaMiYlBhNVU7969T58+LeRjQOGioqIQYQE+oZ8RNikpSciYMFdXVwk6IwbWc/IIe+jQodjYWHt7e9qyYvj999+Fbwo/bNgwfcqvjJOTE2E1lu/fvn3L7osIa5K7evUqYTV9fQprpFpfhbZgdHQ0bUEDMX/+/AMHDty7d4+qILuXoCoFoDf0M8IGBwerHYqUL1++QYMGSdMfcpUrV27evPmJEycIa2ZlZQUGBs6dO5ewphhevny5YMECgY0tLCw8PT1F7Y/0aCNsZmbm5cuX69evT1iTHOZyCUQeYZGctJM/f/7Vq1e3atWKqiDuJQA+p58RNiAgQG2bPn36WFtbS9AZkbi5udFGWGbt2rU+Pj4KX2LJz88vKSlJYOMxY8Zwse+aRgoVKlS6dGnCddQjIiIMJ8IaGxvXqFGDqprSkEfYBw8e0BY0HC1atGjTps3hw4dJquFeAuBzehhhT506FRUVpbYZjxO5curWrVvx4sWfPn1KWDMhIWHbtm39+/cnrEkrLi5O+AgzdouirwvHOjs7E0bYyMhIqlIiIYywFSpUyJcvH1U1pSG/YUtJSaEtaFC8vb2pIizt/F0A/aCHEVZIxKmjIkFnxGNqajp06FDyz/3ZT0/JEdbT0/Pt27cCG0+YMEFf1wNycnLau3cvVTWFz+jKysq6ceMGVTU9HkVgpPr8mrYgIqwu6tev//3335MsifXmzRvdiwDoGX2LsM+ePRMyIVc/lol2cXGZP38+4a6bzNmzZ69evarMKdvXr1/fsGGDwMa2trYsworaHxnRDoeNiopKS0uztLQkrEkoJiaGdY+qGiKsRpCcdNSnTx+SCIt7CYDP6VuEXbVq1bt373JvY21tTbton1zKly/fpk2bgwcP0pZdoUJbk8TUqVOF53UPD48CBQqI2h8ZOTs7E1Z7//795cuXGzZsSFiTEJYjEA4RVmm6d+8+ZswY9iumYx28EACf06sIy/LNypUr1TYbOHCg3gyGc3NzI4+wGzduXLBggdLy319//SX8o/PSpUuPHj1a1P7Iq2LFiiysEF7VIiIiFBthaZcjUOYnDFQsLCzk7gL8D1tb2wYNGui+n6LwAVQAhkOvIuy+ffuEzJ/Vj1EE2Tp27Ei7H4+R6hOrkJAQpUVAd3d34Y29vLwUvq6CjoyNjWvWrHnu3Dmqgkqe0UUYYVnC07NFgj9BHnTMzMxoCxqgb775RvcIixcC4HN6FWGFfPzdpEmT6tWrS9AZaZiYmIwYMcLb25u2bEBAgKIi7J49e4RfA6pUqTJkyBAxu6MITk5OhBFWyTO6CCNstWrV2K8MVTUFSk9Ppy2o37eC0iAZuY4IC/A5/YmwsbGxhw4dUttMnx7BZmMR1s/PT/exVjldu3YtPDxcIbvvfvjwwcPDQ3h7Hx+fPHnyiNcfhaAdDnvz5s3U1FQFDrBJS0u7e/cuVTX9HghrJEKEVewkP46QvOsUvn8egCz0J8IGBgZmZWXl3sbW1rZHjx7S9EcypUqV6tChQ1hYGG1Zf39/hUTYkJCQ69evC2zMgl2vXr1E7Y9C0C5KwO4TLl261LhxY8KaJNhLT7jmht5HWPKBBIUKFaItaICKFCmiexEbGxvdiwDoGT2JsBkZGWvXrlXbbMiQIXr5uZibmxt5hN2xY8fz58+LFi1KW1ZT7JX18vIS3n727NnidUZRWBozMTEhjHcREREKjLC0yxHo91wu5vXr17QFtYuwR44c+eGHH774v3bu3NmlSxfdOsUZkm0gEWEBPqcnEXbbtm0JCQm5tzE2NnZ1dZWmPxJjV4vy5cvfu3ePsCbLjmvWrNFoEpUYli9fLnyLyyZNmrRt21bU/ihH/vz5K1asSLhzujJndNEuR6D3T2GfPHlCW1C7zUFyedXUflamfwoWLKh7ETwOB/icnkRYIRO5WrVqRb6BuEKwdD5y5Mhp06bRlg0MDJwyZQorTltWuKSkJI2eqs6ZM0e8ziiQk5MTYYRV5owuwghra2tbvHhxqmrKRLvjtJFqfTotvgoRNieSUyj51sEAekAfIiw7XZ49e1ZtM/2byJXT8OHDZ86cqXZbB43cv39///79HTp0IKypkfnz5798+VJg4/bt2yvwc3BRsQj7559/UlW7fft2SkqK0tYDJoywev8IlomPj6ctWLZsWS2+KpdXjXY3QS6QrN+s3b0EgH7Thwgr5BEsu4Xt3LmzBJ2RS7Fixbp27bpt2zbasuxnK1eEZRfjxYsXC2xsbGw8a9YsMbujRLSLEmTP6Pruu+8Ia+ro2bNnz58/p6qm9wNhmcePH9MW1CLCsjfSjRs3vvZ/DfApbGpqqu5FypQpo3sRAD3DfYRNSUnZsGGD2mbDhw/X+4WWXF1dySPswYMH7927V758edqyQvj4+Ag/9ffq1Yt2hj4XyL/liIgIRUVYDITVVFRUFG1BBwcHTb8kJiYml7W9EGG1U6VKFd2LAOgZ7iMsy68sxebehoXXkSNHStMfGbVo0YKd5m7fvk1Y88OHD4GBgdKPMWVXwdWrVwtsbGpq6uvrK2p/lKl06dKFChVKTEykKqi0GV2IsJoSvvycEMbGxo6Ojpp+Ve6vmgFGWJJlIrR4IQD0HvcRVsgogg4dOhjIQCIXF5dJkybR1ly7dq2Pj4/Ee8NMmzYtMzNTYOMhQ4bo966huXBycjp58iRVNaXN6CJcUcvExESftuX7oqSkJNqBBPb29lpsbZB7hDXAsbC6rxVjY2NTokQJir4A6BW+I+zZs2eFPKfR74lcObEwx8If7fLmz58/37ZtW79+/Qhr5i4yMlL4LCULCwuNFo7VM87OzoQRNjo6Ojk52crKiqqgjgifwlaoUEGBe4/Ron0Ey9StW1eLr7p27Vou/9cAn8LqHmHr1KlD0REAfcN3hPX391fbxt7e/muLbOufwoUL9+jRY+PGjbRlV6xYIWWEdXd3F36dGz16dKlSpUTtj5LRDodlP/aLFy82a9aMsKbWWGdymRWkKUMYRfDXX3/RFmzUqJEWX4WBBJ+IjY3VsUK9evVIegKgZziOsAkJCUKe1Y0cOVLGlU2l5+bmRh5h2aXx2rVrNWrUoC37RUePHj127JjAxlZWVlOnThW1PwonxowuhUTYmJiYtLQ0qmqGEGFPnz5NW1CLCJuenn7nzp1cGhhghM39ByJEgwYNSHoCoGc4jrBr167NyMjIvU3evHmHDx8uTX8UonHjxtWrVyf/SNFfhbbmF2m0H9iECRNI9h/nF3utzczMCNcDVs6MLszl0giLhuHh4YQF2W9W7dq1Nf0qdubJfbSrAY6F/eeff3T58jx58ijkrhJAaXiNsOx8HRgYqLZZt27dihYtKkF/FMXV1fXnn3+mrblhw4b58+eLve791q1bL168KLCxra3txIkTRe2P8rH86uDgQJj2lDOjizbC6v2isJcvX3716hVhwTZt2mjx+ZXaV83QnsLeunVL+P4sX1SnTh1ra2uq/kgjNjZ28uTJO3bs+PgvBnjrAhLgNcIeOnRIyAAjw5nIldOgQYPc3d1JFiP8KHv9XVF/nu/fv58+fbrw9ux7VNpWUrJwcnIiTHt37tx5/fo1ya7uOiJcjsDS0lLv16xgt3+0Bdu3b6/FVyHCfkLIzpG542suR3Jy8qxZs5YsWUI7qxjgi3iNsELW0nJwcDDMz1/YLXufPn3Wrl1LW5b9zEWNsCtXroyJiRHYuFSpUmPGjBGvMxxhEVbI7h4CZc/oat68OVVBrRHm8mrVqun9gPjQ0FDCahYWFl26dNHiCxFhP3HmzBkdK3Tv3p2kJ2Jjr+yaNWumT5/+7NkzufsChoLLCPvgwYN9+/apbebq6ipBZ5SJfe/kEZZdnP7666/GjRvTls2Wmpqq0fYEXl5e5ubmYvSEO7TbzBqpxhLIHmHT0tLu3r1LVU3vB8KGh4fHxcURFuzUqZN2H3HkvqKWkYF9oPz+/fuwsDBdKtjb23Ox7+DJkyfHjx9/5coVuTsChoXLCLty5Uq150FLS8vBgwdL0x8Fqlu3bu3atYWPKxVoxYoVIkXY33//PT4+XmDjypUrDx06VIxu8EiMRQloC2pB7awgjej9QNg1a9bQFhw0aJAWX/XixQu1v8UG9RT22LFjOg6E7d+/P1VnRMJuNSdNmrRr1y65OwKGiL8Im5mZKWTr0d69e9vY2IjfHeVyVaGt+eeffy5evNjW1pa2LDvLL1iwQHh7Hx+fPHny0PaBX+zlsLOze/LkCVVBJSxKgOUIhGMZgnYdPXt7e5EGwhoZWITdtm2bjhWGDBlC0RFRJCcn+/r6Ll26VO3SQAAi4S/C7tix4+nTp2qbGeZErpz69evHbo7ZWYawJjtVrVmzZsqUKYQ1mVmzZiUlJQls7OzszO5PaDvAO/YzIYywLBK9evVK3jtARFjhWIwQvhuzEGPGjNFu6LCQV81wBhKkpKRs375dlwrNmjWrUKECVX8IsfuQ1atXT58+/fnz53L3BQwafxFWyEQudkXHdib58+fv379/QEAAbdnAwMBff/2VcHLMgwcPNFpx1s/Pj+rQesPJyenAgQOEBSMjI1u2bElYUFOEyxEULVq0WLFiVNWUJjo6mnAyn5Fqh7+RI0dq97V4CpvTqlWrdFzmbNy4cTRdIXXixInx48cT/oYCaI2zCBsVFXXq1Cm1zfAINhv7OZBH2Hv37rG0pN3njF/k6ekpfPmVxo0bEx5ab4gxHFbeCEv4FFaPB8KyOMji5vv37wlrTpw40crKSruvRYT9iL0oixcv1qVCpUqVOnfuTNQdGnfu3Jk0adLu3bvl7ggQeP369Z49e06ePMl+bdllPSkpif1uWltblytXrmbNmi1atOjUqZMSVlfMHWcRVkggY+df5Q+Blwa7eNevX//8+fO0ZVesWEGVI69fv75+/Xrh7efMmUNyXD0jxqIEtAU18uzZM8IPKPV4FMHvv/9Ou6lssWLFxo4dq/WXC9kU0EAi7MaNGx88eKBLhSlTpihnJTiWb3x9fZctW4Zhr3ogLi5u5syZoaGhnz88SlCJjIwMCgoyNzfv27evt7d3mTJlZOmnEDxF2LS0tJCQELXNBgwYkD9/fgn6wwU3NzfyCHvgwAH2O1C2bFndS02dOlX42Li2bds2adJE94Pqn8qVK1taWrJfEKqC8s7owkBYIaKiojTaCkQIdouo9XYh9+7dS0lJUdvMEMbCsp+Dh4eHLhUqVaqkkIlc7PVavXr1jBkzMOxVD7B3Jguvf/zxh5BPPlkbFmRZ0h0zZgz7KmVuJMRThN20adPr16/VNsMogpx69+49YcKExMREwprspBYQEDB79mwd6/z111979+4V2NjY2Fj3I+orExOTGjVq6LgVe04sjrx8+bJw4cJUBTWCCKtWQkJC586d09PTCWvWr19fl7XqBL5qhvAU1svL6/Hjx7pU8PX1VcKiK8ePHx8/fjzt7yPI5e7du126dBHyUUlOLMguWrTo0KFDYWFh9vb2IvVNazxFWCETuRo2bKiXVyytWVhYDBo0aMmSJbRl165d6+3tbWZmpksRd3d34Y179uxJ/nG5PnFyciKMsEaqB7GtW7cmLCgc4SWThfvq1atTVVOI1NTUDh063Llzh7Cmubm5jovLIsJmu3bt2rJly3Sp8N1338m+6EpMTMykSZN03JcBlOOvv/5i+VXrVYpZ8K1bt+7u3btFWhhea9xE2AsXLghZqB+PYD/n6upKHmGfPXu2ffv2Pn36aF1hz5497JdKYOM8efJotHeXARJjOKxcEZZwsnPFihUtLS2pqinBu3fv2O0c7e2KkWqhj2rVqulSQWCEVcLGGeJ58+YNS5+6rHHGznXLly8n7JKmkpKSfHx8WApn7zS1jVmsIX8rArns56867rLBvpwVYS+3op7FchNhhTyCLVy4cK9evSToDF8cHByaNm1KO+2D8ff31zrCZmVlaTRWbMiQIZUrV9buWAZCb/boYu+NGzduUFXTs89k2FWkW7duZ86coS3btm3bCRMm6FhEYIRdv359u3btdLn7VbLhw4dHRUXpUmHq1KlyvWk/fPiwcuVKT0/PhISE3FuyO8P+Kuy0bGJiIk33QDspKSmdO3fWMb9mY0VYqb///ls542L5iLCJiYlbtmxR24wFHXNzcwn6wx03NzfyCBseHn79+nXtPqUNCQkRPiKHvaZeXl5aHMWg1KpVy9jYmPBTWrlmdMXExBDOS9OnCBsdHd2hQwf286EtW6FChU2bNuk4+f3du3e3b98W2JjlvPLlyzdo0ECXIyrQokWLtm7dqksFZ2dnliCp+qORY8eOjR8//tq1a7m0KVq0aK9evVhy1b/XTo+xdxThQwF24fb29tZoN01R8RFhg4KC1E5cYKdg8v1U9caPP/5oa2ur9t5aUytWrNDiM6+MjAyNIumoUaNKly6t6VEMjZWVlb29/d27d6kKxsXFsTcM+WbCatHOHdGbRWFZNmK/CLTzMhkbG5vdu3frvhNbVFSU8E/P2S1Kp06djh49Sv7RgYzYRWry5Mm6VChQoAC7lzA1lfqizG6KJk6cuGfPnq81yJcvX+fOnVlybdu2rRImmYFw7DQu5BNsjfzxxx+//PKLQi7KfERYIcvBNm/eHJ81f42ZmdnQoUPJ75zWr18/b948TZcwY78A7PdKYGN2WtdxeRrDwQIBYYQ1Uo0lYBctwoJCYDmCTzx69Gj06NG5JAytWVhYhIWFkUx3y/3p3edevHjBztj79+/Xj+d57Ew4YsQIHT8DWbt2rYODA1WXhPP29v7iu4ul1RYtWgwYMKB79+5Yp5JTXl5ewncOEig9PZ29Z1atWkVbVjscRNhjx45FR0erbYaJXLlzdXVduHAh7XTg5OTkDRs2aPTwOykpSaO1sSZMmCD9g0BOsQi7c+dOwoKRkZFcR1hLS8uKFStSVZMeu/YEBgZ6enqy3xry4ubm5n/++SfVQstavGqvXr1iCWn16tX9+vUj6YNc2LfArj46rnfr7u7eo0cPqi7pqHbt2iy59u3bt3jx4nL3BbT3+vXrzZs3i1F506ZNv//+uxJGxHIQYYU8Bi9RokTXrl3F7wvHKlSo0LJly6NHj9KWZa+ORhF2/vz5L168ENi4SJEiEydO1Kpfhkg/ZnQRLkdQvXp15exvpJG0tLSAgAB2z/nkyRMx6ufLl2/Xrl2tWrWiKqjdjUd6ejqLSv/888+8efPy5s1L1RnJZGZmjh8//o8//tCxDguLSlj02t7ent1OsFekatWqcvcFCOzdu5f8EWw2doLas2cPe9+KUVwjSo+wjx8/FrI03fDhw6UfQsQdNzc38gjLAsfZs2cbNWokpHF8fLxG+4a7u7trvV27ASJfV0v6GV3szEg4FoLHgbD3798PCQlZvny5eJshFS1alOXXhg0bEtbU5dn5kiVLTpw4sWHDhho1ahB2SWzPnj3r1auX7tNk27RpExQURNEjLRUpUsTV1ZUlV6Ut+Qk6Yr9W4hU/fvw4Iqx6q1atUjtLwMTExMXFRZr+cK1Lly52dnbkz3VWrFghMML6+PikpqYKLFuqVKmffvpJh34ZnHLlyhUsWFDIDnYCPXz4kF2nixUrRlVQrevXrxNuQMrRQFj2qm3btm39+vXh4eGiLv5fvXr1vXv3srcKYU3W+QcPHuhSgd0J165de+LEiZ6enlys4xscHMx6q/tCRa1bt969e7eOe8ToSKPHCsCRK1euiFec8OMyXSg6wr5//17IkOF27dqVKVNGgv7wLk+ePMOGDZs1axZt2T///JOdBNmtfO7NYmJiVq9eLbzsjBkzsESapmrVqkW7aGhERET79u0JC+bO0OZysch+5MiRgwcPnjp1SqSP/HIaMGAAu+Ekn5qj6VyuL8rMzJw3b97GjRv9/PwGDhyo2BEgd+7ccXNzO3bsmO6lOnTowO5bcJYDkdy7d4/T4sIpOsKGhYUJ2WkaE7mEc3FxmTNnDuGDLiPVpJM1a9b8+uuvuTebPn268GV3KlWqNHz4cJ27ZnCcnZ1pI2xkZCQiLBV2Tx4bG3v16tUrV66we4O///771atX0hza2tp62bJlLBqKUZzwVXv48OGQIUN+++03drro0aOHooJsXFzc7Nmzg4KCMjIydK/Gzm+BgYHYFwDEI8Y00I8IP+7ThaIjrJCJXGXLlpXyEsu7MmXKtGvXbt++fbRl2bl48uTJuVxvLl68uG3bNuEFfXx8sAChFnif0UUbYUuXLl2gQIH8Kh//YmlpaWFhkfPPAipWKtl/N/9fZmZmef5l8q+P7/asrKz3Kuxe7s2bN6mpqSkpKS9VEhISnjx58ujRI5bM7ty5c+/ePV22HtVax44d2bm0VKlSItWnfdWyC/bu3btKlSqjRo0aMGCA2k94xBYTEzN//vzg4GAhe66qxd5Fs2bNUnvPDwBqKTfCsrOGkA9r2J0xso7sYmNjDx06lMsCTO7u7sJH+NWqVUtf958UGyJsTixwJKoQ1uQLu8NfsGBBz549RT0KyUCCz92+fXv8+PFTpkzp1KnT8OHD27RpI/EzS3ZDwm68161bR/jJBovjoaGhhGtBAHyNtbW18PV/NFWwYEGRKmtEuRE2ICBA1GkNQMvf3z9nhP3w4cPVq1f/+pdGsz1u3Ljh7Oz8zb9YLGO/iiJ0WR+kp6ezAHE1B9r6T548KV26dN1/ffvtt4UKFSKsf//+/YsXL166dOmiyrNnzwiLGzIrK6tff/110qRJEgy1jIqKEq94RkbGdpVSpUp17tyZBdkWLVqIulAJe89nD1Des2cPS7GElVu3bh0UFGRnZ0dYE+BrypcvL16EZcVFqqwRhUbYt2/fyrvOCGhq//797Er26NGj7Mx67ty5lJQU7UplZmZmp7Hg4GAj1dbB9vb23+RQokQJ0r7zhGW+nIE1OjqadmTz5x4/frxbJfs/K1asyIJsdqKtXbu2RnOD2E3p7du3P2ZW9qchPyIVSYECBX766ScWXgsXLizNEVngGzNmzNmzZ0U9Cju3rFAxNTWtV69edpZlZwPdZ6exEw47d7HfJvaeZN+LGA+V2Ysye/ZsLLECUnJ2dhZvYUTyNRy1o9AIu3nzZt3XKwEpsSBVo0YNMR6cs5p3VbZv3579L8WLF8/OstkPaytVqkR+UIV48+YNu6BeuXIlO7D+5z//kX0Q/R2VLVu2GKnWs3N0dPyYaJ2cnD5ZoJ6Fg+vXr398yMq+EdrHWpCTnZ3dqFGjRo8eLVl4zcZe9/Dw8E2bNs2YMSM2Nlbsw7E31VmVmTNnsvtb9utfs2bNCirlypWzVbGxsckex5wnT570HNLS0p49e/Y4hygVkkGuX9OlS5dly5YpZE95MBzNmzdfs2aNSMVbtmwpUmWNKDTCCpnIBUoj2cCPp0+fHlTJ/k8rKyt2EQ0NDRVvwor0XFxcTpw4wYK7kofTsPuW6yrZz8vNzMxq1aq1atUqdmsRFhbm6+vL8rcEa0VBkyZN2Bumd+/eMq4w2q9fv169eq1cuXLevHk6LhMrHPvtiFaR5nCaYr8O8+fPb9OmjdwdAUPUqVMnS0tLdttGXjl//vwdOnQgL6sFJUbYS5cuXbhwQe5eADeSk5PPnz9ftGhRuTtC5vXr1+zuWcnh9YvevXsXGRlpa2vL/r5jxw7pN/cyNOXKlevTp8+wYcMqV64sd1/+j6mp6ejRo1mYDgkJ+e2330QdI6twFStWnDFjhpIXuAW9Z2VlNWjQoMDAQPLKQ4YMIV9eWjtKjLB4BAuaql69Oo97rH8Nu4XjLr9mK1myZPYHpsiv4mHxqEuXLj179qxfv77cffkCFmSHqRw9enT58uX79u17//693J2SDjsXubu79+3bF2u+guy8vLzWr1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. Осы өрнектерді формуласына қойып, -бұл сфералық айнаның формуласы.
Оптикалық бас оське параллель сәулелердің жиналатын тұрақты нүктесін сфералық айнаның негізгі фокусы деп атайды. Ал айнаның төбесінен фокуске дейінгі қашықтық айнаның фокус аралығы деп аталады.
Сфералық айнаның формуласы:
Айнаның фокустық жазықтығы деп айнаның оптикалық бас осіне перпендикуляр болып, оның фокусы арқылы өтетін жазықтықты айтады.
Дөңес айна әрқашан жалған кескін береді. Дөңес сфералық айнаның формуласы былай жазылады:
Айнаның ұлғайтуы дегеніміз –кескіннің сызықтық мөлшерінің заттың сызықтық мөлшеріне қатынасына тең физикалық шама.
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)
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