Question
Given five noncollinear points, make a conjecture about the number of ways to connect different pairs of points.
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j88fgAY3MDTC3UxGjVfHlIrRkGmo9jGmOAgSaO/2/BqEWLCj5a+8+Yaj57ORY4mPLa43j3aErFWu5svhHylb6EECLpjK2rM+v0fgJd8yodRYg0IYnFigojo0ju3zzAvkNP37+qDd3Blu2m/NCgAj9iRgHnEuS9d4AdV5/w/zGu4Zz/8yBXTH+iXJEfMYEvjJ7Xov3vAa0WlerDwsQIlRZQf/Ca+hUPb4eSybkbE/1msyJwBIVfLOe3zacIS9oXLYQQQogUlOR1VlQGZhhH32LPolE82+VAxgwWXP59Ks8a+zBnoDMAP9Ttj59vBB5DBkCd0tikN+TFwyucPKZm2IIAWhR9+4gHTSxaLcT+e+tDowZtFHHaD++FaIhDTaSa9yPszazL0KxtNvwWjmVkWFlKujSgbolI1g4YxaUyRSlkacTTC6f4J0NtOlYthqxuLIQQQqQeSR+zEqMiW4mW+EzsAeeO8jDKkII+m/ipWikyvr9vk4VqXafwR7GjnH0SQhxaHAuWpfWAnyj6o8X71swrDGLnhk7kzvfvZZXwXZwbizw/fLB/S0aqus1kQ7g1hTK8fUVlmpO2AWspeOg8TyMNyWZnjtY8B+4Lvdh57C7Rag2OecrS0bskhXJ/Zlq0EEIIIfRW0u+soCEuKgrDDFkpVbMJTl880xCHsi44fKUtw4z5+OXDiTpmmSheNtN/zjIhs2NJMv/nVbN0P+Jc58ePX7QrRq16xeLxVQghhBBCXyV5gK2BsRkW5iayc60QQgghkkXS7qyoLCjVZyFnehpgLjOChRBCCJEMkrwonKGxGZZSqAghhBAimejVRoZCCCGEEP8lxYoQQggh9JoUK0IIIYTQa1KsCCGEEEKvSbEihBBCCL0mxYoQQggh9JoUK0IIIYTQa1KsCCGEEEKvSbEihBBCCL0mxYoQQggh9Nony+1bWFgwZ84c7t+/T2xsrBKZhAJUKhWvX7/m/v37dOnSRf7fi3hTqVS8efOG4OBgOnfuTFxcnNKRhJ6JiYnh6dOndOrUCbVarXQcoWdUKhXh4eFcv36d3377jc6dO39yzifFSlRUFPXq1WPUqFGEh4enSFChPAMDAx48eMDVq1fx9/fn9evXSkcSqYSBgQFPnjzh/Pnz+Pv7ExERoXQkoUdUKhVhYWGcOHECPz8/oqKilI4k9IyhoSF3797l2rVrtGvX7rPnfFKsaDQabGxssLa2xtraOtlDCv0RGxuLsbEx6dOnJ3369ErHEamMsbExNjY22NjYKB1F6BlLS0uMjIyws7NTOorQU5GRkZiYmGBiYvLZ4zJmRQghhBB6TYoVIYQQQug1KVaEEEIIodekWBFCCCGEXpNiRQghhBB6TYoVIYQQQug1KVaEEEIIodekWBFCCCGEXpNiRQghhBB6TYoVIYQQQug1KVaEEEIIodekWBFCCCGEXpNiRQghhBB6TYoVIYQQQug1KVaEEEIIodekWBFCCCGEXpNiRQghhBB6TYoVIYQQQug1KVaEEEIIodekWBFCCCGEXpNiRQghhBB6TYoVIYQQQug1KVaEEEIIodekWBFCCCGEXpNiRQghhBB6TYoVIYQQQug1KVaEEEIIodekWBFCCCGEXpNiRQghhBB6TYoVIYQQQug1KVaEEEIIodekWBFCCCGEXpNiRQghhBB6TYoVIYQQQug1KVaEEEIIodekWBFCCCGEXpNiRQghhBB6TYoVIYQQQug1KVaEEEIIodekWBFCCCGEXjNKcgvqCG4c/YO1B2+hQo1Gq0JlaIJL+4H8ks0QAM2zS6zfvI0XORrya9UCmBkmuVchhBBCfCeSfmclLpQz68Yxds1pLPJVwrncz2R78QcdGtRm3LbHAGifXWDVLB+mb79CZNy3m1RHh/Ps6Qtex2iSHE8IIfRNTEwMISEhSscQItVIerGiMkCjVWHzQy5+qelC5arV+NX3dzztLzB3xAzOAYZFWrPh3BuuTG2Crem3GtRwb38AvxRuwsyTYUmOJ4QQ+iQuLo4RI0ZQtmxZLly4oHQcIVIF3YxZUYFGDZp/b4QY2FHCKQ/R0U8JjQTCzjChbzOGrrlCpPbdOW/us3FqH6rXb0br1q40a+DN1gcvuLpxOG7j1hAcfoXVozrSukU/Vp37B602lpOBfWnvvoBrsf/vWntxKa6tWrPqytt/a+7/yciuQ1hwaAtz3LrRvHVHhm25+e7sR2weP5j2DZrg2tKV1m3bsvhMzAdfSAh7A3rRumUzmjdtRz+vddxQaxFCCF25efMmvr6+3Lx5k7lz5yodR4hUIeljVgC0YGAEBu/Gory8+BuTV/xNsbaTKW8OvHzK2cM7eZxpAHEAUcGsHNSUvldKs3D2fKrnMOVR0Fwm/3mT2e0GMy4uiubdjtBggC8jKjkQa2qJSvOGpxf3svck9FQDxu/6fn6Z3Xv2kN/tXZRXj7l0wo/RO4oxduZa5lTMgqmVNbw+R0DHjkyLbMSqmfMpaWdE8B4/6ncoyZUxe/FtZM/Rsa1osz0/235fQEHLSP4+dYQjm6+Qq0lhHb1RQojv2fbt29m9ezcHDhzA19eXxo0bM2LECAYMGECGDBmUjieE3tLJ72AjUwueHP8D726vyGIex/0Tx8nRZy6Tfi2HCYDKEK3KAGNDMFTBy0vrmLHpNb/OGkWDQm+/QfPUHcgcANTYprPAUGWMhXUGjC2t3tYlasDQHBUmGKo+6NzAGFBh/K5QUhkYEBttR83+s+jTMC/W7869uWMjv/1pRLdlrSn1gyWxkRqyunSip+MKVvx+gPBGLVFhjPHjHfisqM+Kni4Uq9KM0jJfSgihAxqNhr59+3L+/HkuXrxIdHQ01atXZ8GCBezatYtWrVopHVEIvaWTYkUdG0WGwhVxGz4ZpwxhxBnakCVzus8+Y1IBMaGPeKk1I1NW28+coUWLFtCCVvvhy2g1GlQqA1QfFSuq/1yvQaNNj72dBcbvD0XxOuIlkS/vsnmmF9eWGxGj0QJqIiJ+wvnnjMQC5YZv4mjJcfScN52WW4YQ/LoiEzaMoFYuW5njLYRItFu3bjF58mQ2b96MpaUl2g9+tq1atYrhw4djYGBAixYtUKn++zNNCKGTYkWr0WBskY4sP1iTKb31188FTDNnxTIikjtPXgAO74/FxYGR0dtyRa0yBNUHc5wNDMiYyZo3kXcIeQVkfPvy40fBaDQfzhpSARrUmg/HmphiZWWNuX1+WntMp38l+88k06DWGJK97ki21YXoF4cYWKUxQzx/IN9adxwT9I4IIcT/jRw5kkaNGlG4cOFPjhkYGDB+/HgcHR2pU6cO6dKlUyChEPot6cWKVgOaWGLVKuLUXzhHE4dKqyZaDWot2ORvi1ePP/Ce3gv/OA+cMkcTe2Efs8zqsqHrz2T6sSilftjE8a3r2astRs5CxXHMaE6hFp1wmT+eySPnYNSuOGGX9rJu7SFi4iDmXd9adSyoI4jTqPl/uaLCsWY3xvW+y9ARXpj2bEYhBwti34Rx+uIpTH7uj3vFSJb1nsWt4iWoUNAe9dOLPHuTkSLFC/O5+z9CCBEffn5+5MiRg2bNmn31vKCgIMqXL8/FixdTKJkQqUfSixWj9JRoPBifkJzksPjCOekL0abfOCLz5cAUwDQzTUev5cedK9l4eif7jbVotMWY6FH63emN8Z1vzoY/ThO0+w2V7AuQO6MZNvnaMG+nPatXHeLgtoeoC9Rl5qpmNFsThH3ut10Z2DvRcchozMpmfzte5l8mP9Jo6ALyFVrHHyeP8+d1QzTGFuSq2pdOP2cCoO2Quiz4/QBH9v0NWlOqjVpFmzYlsUzymySE+B5duXKFO3fu0KVLl2+emy1bNlxdXQkICMDd3T0F0gl9pdVq5XHgf6i0Hz48BcaNG4darcbb21upTEIh9+/fp0GDBpw7d07pKCKVefz4MdWrV+fSpUtKR9Ebly9fpk+fPqxbtw47O7uPjh07dgxvb2/27NnzyXW//fYbhw4dYvHixSkVNdmFhYXh5OTE9evXlY6i906ePMn48eNJnz49S5YsUTpOirlz5w5NmzblzJkznz0u40aFEELHoqOjWbp0KW3atPmkUPmWGjVqYG5uzp9//plM6YQ+Wr16NUOGDGHDhg3kzJmTAwcOMHr0aI4ePap0NL0gxYoQOnb//v1vjk8QaVv16tVp0qQJnTt3TvC12bNnx9fXl5UrV7J69epkSCf0SVRUFBMmTOCff/6hXr16DBo0iO3btzNo0CCOHTvGgQMHWLVq1X8mknx/pFgRQoc0Gg2///47GTNmZN++fUrHEQpYuHAhxYsXp2zZsoluI126dDRo0IAjR47w+PFjHaYT+uLVq1dMmjQJb29vihYtSu/evalQoQLr16+nc+fO5MqVC1tbW4YOHcqLFy/w8fFh+vTpSsdWjBQrQujQ06dPWbJkCW3atGHq1KlKxxEprF+/frx584Zp06Ylua0GDRrQvXt3OnfuLAVLGnP37l3c3d3Jnz8/rVq1ol69eu+PTZgwAU9PTwwMDDA0fLt8R+/evalUqRKZMmWid+/ehIaGKhVdMVKsCKFDzs7OHDlyBBcXF6pVq8agQYOUjiRSyKlTp97fyjcw0M2P1iJFilC8eHFWrVrFf+ZCiFRo3759zJw5E19fXwICAmjUqBElS5b85Dy1Wk3t2rUpXLgwo0aNAqBy5cq0atWKvn37MnjwYI4fP57S8RUlxYoQOtKvXz9GjBiBlZUVAK6urkRERLB3716Fk4nktmnTJhYuXEhAQAA5c+bUadsTJkwgW7ZstG/fXqftipS1cOFCDh8+jI2NDf7+/lhbf7qAqru7O+PHj39/R0WlUn0yViVfvnyMHTuWHTt20LBhQw4fPpwi+ZUmxYoQOnD58mWCg4OpXbv2+9eyZs1K8eLFOXjwIBEREQqmE8kpJCSEffv2UaFCBbJkyZIsfTRp0oRXr17JOKhUJjIykjVr1jBmzBjUajUjR46kbdu2mJubf/b8vXv3UrFixff/LliwIFFRUbx8+fKj87JkyYKnpydLlixh9+7dzJ49G7X6S6uypg1SrAihA8OGDaNbt25kzZr1o9d79OjB6dOnOX36tELJRHJ6/Pgxffv2pUWLFrRp0ybZ+jE2NmbVqlXs37//ux5kmZqEh4czePBgHj9+TNmyZenatetXz58+fTrt2rUjU6ZM719r0KABL168YPv27Z+cb2FhgY2NDaNHj8ba2prOnTszYsSINPu4UIoVIZLo2bNn2NjYkDFjxs8eL1GiBDdv3vzupx6mNVqtlm3btmFubo6Li0uy92dhYUGjRo04cOAADx8+TPb+ROKcP3+eP/74g/79+7//r0aNGt+8bvv27ZQrVw4Tk4/WXqdQoUI8efKE2NjYL17btm1bxowZQ7Vq1XBzc+PWrVtJ/jr0jRQrQiSRr68vpUuXplSpUp89Pn78eGbMmCG/YNKYwYMHExMTQ2BgYIr1WaZMGcaMGcPo0aM5depUivUr4mfHjh0sW7aM8+fPM2XKFBwd47cF7pYtWyhRogQFChT45NjAgQPZtm0bZ8+e/Wob2bNnp2LFigwcOJDZs2fTuXNnrl27lqivQx/pZNdlIb5Xy5cv59WrV/Tp0+er5+3atYsaNWpw+vRpjI2NUyidSC7Xr1/n2LFjTJo0KcX7LlSoEDly5GDPnj2ULl1aZzOPROLExsZy+vRpzp07R0hICKNHj8bC4ksb5X3ejh07cHJy+uLd2YRwdHRkyJAhPH/+nNmzZ1OlShUaNmyY5HaVJp9yIRIpODiY48eP4+rq+s1zs2TJQsuWLZkyZUoKJBPJrVmzZqxdu/b9rI2UNmzYMA4fPsyhQ4cU6V+8pdVqGTNmDOvXryd9+vQMGzYswYXK2bNnMTU1pVy5cl88p1u3bmzcuJGoqKh4tZkpUyYKFSrEtGnTuHbtGqNHj05QJn0kxYoQiXT48GHCwsKoWrVqvM7v27cvq1ev5vnz58mcTCSXN2/e4Onpybhx43BwcFA0y2E3cuMAACAASURBVMKFC1m1ahV//fWXojm+V/fu3aNLly5Ur16dyZMn07p160S1c+DAAUxNTSlYsOAXz2nZsiWbN2/m1atXCW7fw8MDZ2dn6tati5eX1yczi1ILKVaESIT79+8zYcIEli1bFu9rLC0tWbFiBQ0aNEjGZCI5DRo0iHz58lG/fn1UKpWiWbJmzcrcuXNp1qzZVwdfCt06ceIEI0aMICAggPHjxydpcPWjR48IDg6mevXq3zz3119/ZeXKlYnqp2rVqmzbto0mTZowdOjQVLk7uhQrQiRCSEhIop4vGxkZYWlpmebXREiLVq9eTdasWWnRooXSUT6ydOlS+vTpQ3h4uNJR0jStVsvvv//Opk2bcHFxwdvbO8nr6pw/f57bt29TrVq1b57r4eHB1KlTkzQ1uUyZMgwbNowlS5ZQv359zpw5k+i2UpoMsBUigWJjY2ncuDF37txJ8LV58+alb9++tGrVirVr1yZDOpEcduzYwapVq9i8ebPSUT7h4uKClZUVNWrU4NixY0rHSZPmzZvH8+fPsbCwYMKECUrHSZLs2bMzbtw4ALy8vPjrr7++uQaMPpA7K0IkUPv27Zk1a1air69SpQq5c+dm8eLFOkwlksutW7fYtGkTEydOVDrKFxUuXJi2bdvKAG4de/36NX379sXMzAwnJyfc3d111vbjx49ZsWLF+8IhPqZNm0aPHj2S3LeJiQkmJib4+flhZGSEp6cnL1684PXr10luO7lIsSJEAhw6dAi1Wk2VKlUS3YaVlRXOzs6cOXNGBtvquYiICKpVq8b06dO/OgBSaSYmJvTq1YuwsDCGDx+udJxU7++//2bhwoV4eHjQrVs3OnToQM2aNXXaR3h4ONevX//s2ipf4uzszMGDB3WWQaVS0bFjR1q0aEGXLl0YN24cDx480Fn7uiTFihAJMGjQIHx8fDAzM0tSO/Xr1ycqKootW7boKJnQNa1Wi5eXF/7+/piamiodJ146duzI69evOXLkiNJRUq0jR44wZ84cYmNjGTp0KEWKFNF5HzExMUyaNCnBd+tUKlWyTJcvXbo0GzduxNXVlTFjxnD+/Hm9289MihUh4ql169b0799fZ39hz58/nxUrVnDixAmdtCd06+eff6Zly5Y0adJE6SjxliNHDqZMmcLQoUPlc5VA27dvJzAwkG3btjFp0iS6d+9O9uzZk6Wv2NhYgoKCEnyH1s7OjtmzZ1O/fv1kyVWiRAmmTJnC0qVL6dixIzt37kyWfhJDihUh4mHnzp04ODhQqVIlnbbr4eHB0qVL9fpZ8fcoMDCQunXrUqJECaWjJJhKpXo/40M+V/Hj4+PD2bNnMTQ0ZPz48Um+c/otY8aMYeTIkYm61tLSMllnfllaWuLv7/9+DR8/Pz8AxWcwymwgIeLh0KFDZM2aFXt7e522W6tWLQYNGkR4eDhWVlY6bVskzrBhwzAxMUn0LxN9ULNmTQoUKICTkxOXL1+WJfk/Izg4mGvXrrFp0ybq168fr7VOdGXt2rVcvXo1UdeWLl2adu3aMXDgQPz9/XWc7P8MDQ3x8vJix44d1KhRgypVqtCzZ0/Sp0+fbH1+jXyChfiGCxcuEBYWpvMBdv9yd3dn2rRpydK2SJi//vqL0NBQmjdvrnSUJMuRIwcdO3bU61lMSrl58ya+vr7s2bMHNze3FC1UZs2aRdeuXZO0R5iVlRUvXrzQYarPU6lU1KlTh927d1OmTBk8PT159OhRsvf7OXJnRYhv2Lt3L9bW1hQtWjRZ2u/UqRNly5bl+vXr5MuXL1n6EN927Ngxxo4dy8qVKxX761HXPDw8WLNmDc2aNeP3339XOo7izp07R3BwMNu2bWPEiBE6v1MaH7/99hvr169P0t0uGxsbjI2NiY6OTrHB39WqVSNfvnx4e3vTsmVLMmfOTLFixVKkb5A7K0J81bFjx9ixYwfjx49P1n527tyZbIPmxLe9fv2ajRs30rp16zRTqPyrSpUq2Nvb69VgSSXMmzePRYsWcf78eWbPnq1IobJlyxaqVKmCnZ1dktqpWbMm2bNnZ/LkyTpKFj8//vgjCxYs4ODBgyxcuJClS5emWN9SrAjxBS9evGDYsGEsXLgw2fuytbVl7NixdOjQIdn7Ep86ceIEp06dok2bNkpH0blMmTJRs2ZNAgMDiYmJUTpOigoLC+PmzZt4eXlhZmZGQEAAXl5eiuUJDAykdu3aWFtbK5ZBF0aPHo2vry8RERGMGTOGmzdvJvtgbilWhPiCVatW4eLikmzTF/+rQoUKmJqayhoZKey3335jz5497N+/X+koyaZevXr06tULT09PvV30S9ceP35MQEAAkyZNonHjxnTo0CFZ1ihRSoUKFQgLCyM4OFiR/k1MTOjZsycuLi6MGzeOyZMnJ+uOzjJmRYjP0Gg0TJ48mbt376ZYn/b29tSoUYM5c+bg7OycYv1+z16+fMmECRO4cOGC0lGSXZUqVd7vb9S7d2+l4ySrx48f06NHDwoVKkSpUqXImzcvz549Izo6OkkbASaWhYUFS5YsIW/evGTLlo2HDx+i0WgS3Z5Wq+Xnn39m3rx57Nmzh3r16vHmzRsdJo5/jnz58jF//nwOHjxI8+bNcXBwSJbHQ1KsCPEZW7ZsoU6dOineb548ebC2tubmzZs4OjqmeP/fk5MnT7Jw4UIOHz6MhYWF0nFSRGBgIH5+fkyfPh03NzeMjNLmrwAzMzNevHjB2rVrqVChAufOnWPdunXUq1cPY2NjtFptihUtWq0WKysrjhw5grW1NVOnTiU6OlonbVtZWTF06FA2bdqEnZ1dkgqgpGQ4ePAgFy9epEaNGgQEBCRLP2nzkypEEg0ePJiTJ0+meL8lS5bkhx9+YNGiRQna4Ewk3KhRo+jbty9Zs2ZVOkqKGjx4MAULFqR27drkzZtX6TjJwtbWFm9vb2bPns2SJUsAaNWqFZs2bWLcuHEYGxtjYmKSYnkOHjyIhYUF7u7uOv+8ubi44OPjQ/HixXXabnxt374dR0dHAgMDmTRpEhkzZkyWfmTMihD/8csvv7B48WJsbW0V6d/Ly4vbt2+zZs0aRfpP6/755x+8vLzo2bMntWrVUjqOIk6fPo2fnx9BQUFKR0kxlSpVwsPDgy5dutCvXz/OnDmTYn1fvnyZmJiYNFMYx8XFsXbtWnx9fbl+/Tr9+vUjU6ZMxMXFJVufUqwI8YHAwEAqVaqk2F8p/xo4cCA7duz4bgZDpqS1a9cSGhr6XU8Vt7S0ZOzYsfTo0UPpKMmmdOnSFCpUiI0bN75/zcHBgVWrVuHt7c3y5cs/OpZcbty4wYULF+jSpUuytD9q1Chmz55NZGRksrT/X9HR0QwePJjg4GAKFChA//79Wbp0KZUqVUrWdaKkWBHinZCQEA4fPkyVKlUUX/q+TJkymJmZERQUpMiAwLRIo9GwcuVKnj59ysyZM5WOo7jMmTOzfPlyevfuzcOHD5WOo3N2dnbY29t/dnadvb09kyZN4tatW0yZMoWdO3cSGxubLDnu37/Pw4cPk2X3ZoCqVasSFBREVFRUsrT/r6tXr7Jt2zZ69+5Np06dGDBgAA0aNADgzz//pECBAqRLly7Z+pdiRYh3Zs6cSb58+XS+WWFizZ07l/Hjx6fIstrfg4cPHzJx4kR8fHxkr5x3ypQpQ7ly5RgxYoTSUZJFjRo1iIuL++wjH2NjYwYNGkT27Nk5fvw4w4YN0/lmfWFhYWzZsiXVz746dOgQ8+fP56+//mLcuHEfreZ98OBB7OzsKFeuXLJmkO9YIXi7ZXt0dDQODg5KR/lIgQIFuH79utIxUr3Lly8zatSo734V189p1aoVTk5OTJ8+Pc0tGpc/f37UajV//fXXF89p1qwZo0aNwtXVlS5duvD333/rrP+QkBAOHTqUbPuK/Wv37t3J8lgzLi6ORYsWsXPnTkaPHo23tzeZM2f+6JxDhw6RPn16fvzxR533/yEpVoQANmzYQHBwMB07dlQ6ykc2bNhA69atlY6R6jVu3JgpU6boXTGqDwwMDHBzc+PYsWNs375d6Tg616RJE65evfrNDfhKly6Nn58fCxYsoF+/fklenFGj0bB48WJ69eqVpHbiI3v27Dp/lDd27Fg8PDxQq9WMGzfus494bt68yfPnz1NkoLoUK+K7d+XKFZYsWaKXOx+rVCqWL1+e7H+ZpVXh4eEMGDCA2bNnp7k9f3RtxowZ7Nu3j6NHjyodRacqV67M33//zY0bN755bsaMGRk+fDitW7dm586dLF++PNGPhmJjY1m2bBmdO3dO1PUJYWBgwLJly2jatGmS2/p3Qb1SpUrRtm3brw4MPnfuHP/88w8//fRTkvv9FllnRXzXYmJiWLt2LXXr1tXbX2alSpXC0dGRjRs30rhxY6XjpCrdunWjefPmVKtWTekoei9jxozMmDGDvHnzcvr0ab39fkhuNjY2lC1blrJlyzJ79my8vb3JkCEDAwcOVDraVzk6OnLt2rVEX3/x4kV+//13Xr58yZAhQ8iZM6cO0yWd3FkR37Xbt2+zZcuWFLlVm1gWFhZ07tyZGTNmKB0lVZk/fz45cuRQZCXi1GzFihW0aNFC6Rg6NWvWLKZNm8bz588TdJ2bmxu1atUiR44cuLm5JWiwe7t27d4vSJcSDA0NSZ8+faJWx925cycLFy6kfPnyDB06NF6Fyu3bt1m3bh2TJk1KTNwEkzsr4rtWq1Ytbt++rXSMbypVqhSdOnWic+fO/Pbbb0rH0Xv379/nzJkzNGnSBDMzM6XjpCpOTk5kz56dVatW0apVK6Xj6ESuXLm4fft2otYicXFxAaBEiRIMHTqUX3/9lfLly3/zur/++otSpUoluL/Eypw5M35+ftSrV489e/bE65pFixbx5MkT1Go1U6ZMSVB/4eHhPHr0iGzZsiUmboLJnRXx3YqIiMDCwgKVSqV0lHgxNTVNNVmVdOPGDQYMGEDfvn2pUaOG0nFSHZVKxdy5c3n48CFeXl5Kx9GZOXPm4OnpmegxKI6OjowdO5bdu3dTr149Dhw48MVzBw4cyOjRo1N8zyljY+N47fcUFRWFh4cHcXFxFC1alOHDhyeon4iICCZMmJCi4/ykWBHfLScnJ3bt2pVqCoDmzZuTKVOmFLvtmhrFxcWxYcMGChcuTKFChZSOk2oZGRnRsGFDbt++zcWLF5WOoxPlypXj+PHjSdrsL3PmzAwZMoQ1a9YQFBTE9OnTP1v8HDp0CCcnpxT/2eLk5ESLFi2++Fj7zp07LFy4EA8PD5o2bUrXrl2pV69egvuJiYnh7NmzKXrnSIoV8V0aPXo0Xbt2xd7eXukoCdKlSxeuX7+eovuapCYdO3YkT548jB49WukoqV6+fPnw8/NjxowZ7Nq1S+k4OmFkZJTk/WvMzMywtLRk5MiRZMmShV9//fWjBeVmzpxJs2bNkn3dkS8xNDT87Gq858+fJyAggJiYGPr06UPZsmUT3UdcXFyK79gtxYr47ty/f5+LFy9Sp06dFP+GS6o8efKQM2dO9u/fn2zLg6dWu3fvJjQ0lGbNmikdJc3Inj37+zuQr169UjpOkgUFBVGhQgWdtefq6oqfnx+1a9emV69ePH/+nMOHD1O0aFHFxkplz54dExMT/vnnn/evrVixgkWLFjFhwgR69OiR5N22q1atmuR1aBIqdf2kFkIHfHx8aNSoEfnz51c6SqKMGDECZ2dnatasmWz7jaQ2M2bMICIigg0bNigdJc3p2rUrQUFBDBkyhDFjxmBnZ6d0pESztrYmLCxMp21mzZqVrFmzYm9vz4QJE8idOzeFCxfWaR8JUblyZfbu3cvy5csxNzfnxIkTlClThqlTp+qsj1evXmFtba2z9uJDihXxXZk2bRq2tra0adNG6ShJsnPnTpydnTl8+HCK/9DQN8HBwcydOxcPDw+OHj2q93ecjIyMuHDhAiEhIRw/fpzXr18rHemrtFotGTNm5MCBA2zdupVff/1V6UiJli5dOhYtWkTDhg3ZvHmzTtvOkycP6dOn5/fff+f27du0bNmSRo0a6bSP+LKwsGDWrFnMnz+fqlWrkidPHp21Xa1aNTZv3pzi+2tJsSK+Gzdv3uTmzZu0a9dO6ShJli5dOrp3786UKVMYOXKk0nEUdf36dUJCQjh16hT379/X+WZ0umZoaMi9e/cIDQ1Nkd1ydcHS0pJXr15x9uxZ2rdvn6o3gsyYMSPPnj3TebsXL17k5cuXrFq1iiJFiuDv78/IkSPx8fHReV9f8ujRI8aOHYudnR2urq7kzJmTXLly6bSPJ0+efLI/UEqQYkV8Ny5dupRiS0OnhO7du+Po6PjdFyuVK1emZs2a1KhR4/2W9fru2LFj3Lt3jyFDhigdJV7+Lazc3d1TdaECULBgQbp3787AgQPx9/fXWbunTp0iOjr6/aPZgQMHEhQURJ06dShevDiDBg1K1kdoBw4cYMWKFfTo0YN8+fLRtWtXLl26pNNipUuXLowZM0aRiQmp+1MnRDy9fPmSI0eO4OrqqnQUnTE0NKRdu3YEBgYqHUVxixcv5urVq0yYMEHpKGnO0aNH8fLyYsaMGeTIkUPpODphZ2fHgwcPkr2fSpUqsX37dpo3b86wYcOSZRr40qVLGTJkCH/++Sfz58+nVKlSWFlZ0bx5c44eParTMTr37t0ja9asOmsvIaRYEd+Fs2fPcunSJcWeIScHlUqFm5sb8+fPT9TKnGmNp6cny5cv59atW0pHSTM0Gg1LliyhRIkS5M6dW+k4OmNhYYGJiQlarVYn7V28eJG9e/cyduzYzx4vVaoU3t7eBAYGsm3bNm7cuJHkvt+8eYOPjw9RUVHUqVMHb2/vj443adKEoKCgb+42HV9qtRoLCwvFZjlJsSLSvLCwMHr06MGOHTuUjqJz9vb2TJkyRTY4fOfkyZP4+/uzfft2paOkei9evGDo0KHUrFmTbt26KR1Hp6pWrUqJEiUSvHLrl4SFhRESEvLVxzwODg5Mnz6dixcvMmnSJObNm5fo/u7evYuHhwfly5enW7du/PLLLxgaGia6vfjo2bMnTZs2pWTJksnaz5dIsSLSvHbt2qXp/XScnJwoX758gvf2SIssLS3p1KkTvr6+SkdJ9U6cOMGVK1do0qSJ0lGShYWFhU4GY4eEhDBt2rR4Lz0/ZMgQAgMDsbCwYNCgQURERMS7r5s3b9K0aVMmT55M7969qV69+lfPnzdvHsOHD9fJIG6VSoWpqWmS20ksKVZEmrZjxw5sbW1xdnZWOkqyMTU1pXLlyly/fj1FnsPruzJlytCxY0c6d+6sdJRUKzg4GE9PT7Zu3ap0lGTj5uZGSEgIy5cvT1I7kZGRXLt2LUHrNqlUKtq3b0/Lli0ZOnQos2fP/uaGqmvXrmXKlCksWrQIX19fChQo8M1+ihUrxvnz55M8nX/KlCnvZxgpRYoVkaZ5enoyfvz4VD+D4VtcXFywtrZm/fr1SkfRC3Xr1iVLlixp+pdtcomMjGT06NEpukmdkpKyV5BGo2HYsGGJfq/KlClD3759sbCwICAg4LPbaAQGBtK4cWOeP3/O1KlTsba2TtAGiWZmZkRHRycq37/UarXie6jJ1GWRZp0/f54iRYqk+M6nSilWrBh///034eHhpEuXTuk4isqYMSPjx4+nQYMGaDQaGjZsqHSkVKNYsWLs3LlTpwuJ6avSpUvz8OFDIiMjMTc3T/D1Go2GoKAgFi9enOgMjo6OODo64urqyvDhwzl79iyOjo4UL14cX19fChUqxKJFi7CyskrU9iCHDx/G2dmZy5cvJyrfq1evCA0NVXy17LT956b4rnl4eODm5oatra3SUVJEmzZtuHLlCgcPHlQ6it7w8vJix44dPH78WOkoqYKvry+9evUiZ86cSkdJEd27d2f//v2cO3cuUdcPGzZMZ5tmmpub4+/vT0hICPXq1WPYsGFUrlyZtm3bYmNjk+h9zCwtLXnz5k2icx04cIDr16/TqlWrRLehC1KsiDRpwIAB1KlTR6eblqUG69atY8yYMdy8eVPpKHrh559/Zvz48VSuXDlNbMSXnDp16kT69Onp379/ss8s0SclSpTg+vXriZpKvHHjRp3etTty5Aj37t3j1q1b1K9fn7179/Lw4cMktWlsbMymTZuoWrVqgq+Ni4vj/v37FC1aNEkZdEGKFZHmHDlyhNjYWOrVq6d0lBRnYGDAgAEDmDZtmt7vkZNSMmTIwMCBAxk/frzSUfTW3r17sba2pm7dukpHSXF+fn74+fnx5MmTBF03a9YsOnbsiKWlZZL6/7dICgwM5I8//sDPz4/MmTNTq1YtWrVqxeTJk+natWuSihZbW1tevHiR4Otu3LjB8uXLGTFiRKL71hUpVkSaolar2b17N7ly5founrl/jqurKxcvXuTChQtKR9EbXbt2pWbNmlSqVEnpKHpn48aNLFiwgEmTJvHDDz8oHUcRBQoU4MaNGwm6ZuXKldSvXz/Rj2fg7WDm2bNnU61aNSwtLRk7duxHY2dKlCiBh4cH/fv3Z8yYMezduzdR/ZiampItW7YEF2S3b9/Wm93ppVgRacru3bu5dOkSAwcOVDqKonbt2kXz5s2VjqFXfvrpJ0qXLp3kqappydOnT9m3bx8dOnRQdA0Npf3++++0b98+STODEio0NBRPT0+yZs3K3r17ad269Wcfvzk4OFC4cGHmzZvHsWPHcHd3Z9GiRQnqK0uWLHh4eNCpU6d4XxMeHk6/fv2SNHhYl6RYEWlKSEgIDg4OSsdQnEqlwsHBIcF/SaVllpaWTJo0iVu3bqXoTrj6KiQkhMaNG+Pu7k7t2rWVjpOqDBs2jA4dOlC4cOEEX3vr1i3atm1Lnz596NGjB02bNo33tV5eXri6uqLRaBg5ciSvX79OcP+plRQrIs24fv0606ZNY8aMGUpHUZyJiQnLli2jTp06SkfRK0ZGRtSvX59Hjx4ly6Zyqcm8efOoU6dOmtrzJynatm3LkiVL4nXu7du3yZw5c4LXHtm8eTP+/v5Mnz6dpUuXUqhQoQRdb2hoSNmyZencuTMVK1bE09OTO3fuxOvaXLly4ejoyPHjx+N1/rJly+jQoUOC8iUnKVZEmhAVFUWvXr305palPsiRIwc9evT47h+J/VepUqUYOXIkPj4+8f7BndY0adKEggUL6mxvnLRg4MCBTJw48ZvnLV68mLx581KzZs14tavValm3bh01atTg7t27+Pn5kSFDhiQvslalShX69++Pv78/jRs35tq1a189/8cff6Ro0aKsWLEiXu37+fkxZMiQJGXUJSlWRJqwdu1aChYsmOC/VNIyAwMDKlWqRGhoqAy2/Q8HBweqVKnC5s2bE7Q3S1rwxx9/kC5dum/uK/O9MTMzo3LlyuzZs+er592+fRtLS8t4LSL35s0bRo0axfPnz9m1axe9evVK8uyhD+XNmxd/f3+WL1/OzJkzWbly5VfPL1KkCAYGBty9e/er523dupU6dero1RR2KVZEqhcTE8PIkSPx8/NTOoreyZcvH05OTsyZM0fpKHrHzc3t/fTQpC5Hnlr4+/tz4sQJ5syZo9NfmmmBubk5PXv2/Ooib4cPH+bFixfffDzy6tUrevTo8X5HZDc3N1QqVZJmDn2JqakplpaWTJkyhfDwcOrXr//FHZ3LlSuHsbHxN7ehGDFiBJ6ennq1TYn+JBEikSpWrMiOHTu+69kMX9OjRw9MTU0JDAxUOoreqVixIhkyZGD79u1KR0l2Dx484OrVq9SuXfu72YJC1+7du0dUVBRZs2b94jknTpzA3d0dd3d3Zs+enajF2BLDyMiILl26sHr1aqytrRkyZAj//PNPivSdEqRYEalebGwsZmZmSsfQa4aGhsTExCgdQy/NmzePAQMGpPm7K3PnziVHjhyUL19e6Sh6y9HRkVq1arFgwYJPjt27d4+goCD69+//yTG1Wk10dDRr1qxh/fr1TJgwgXz58mFtbZ0Ssd8zNDTE0tKSVq1a0aBBA4YOHcrNmzc/etTZtWtXLl++zNWrVz/bxpQpU2jfvv1XCzIlSLEiUrUmTZowfPjw72Yvk8Ty9/fnjz/+YP/+/UpH0Tumpqbs27ePPn36fHOQYmoUHR3NrFmzyJgxo16sRKrPLC0tyZ8/P0FBQZ8ce/r0Kbdu3fpk6fm4uDgWL15MkyZNCAkJYeLEiWTKlCmlIn9R+fLl8fX1xc/Pj27dunHgwAEA8ufPz5MnT3jw4MFnr9uzZw+lS5fGxMQkJeN+kxQrItXasGEDuXPnxtnZWekoqcKgQYNYsWIFL1++VDqK3smTJw8tW7bE3d1d6Sg6d+HCBdasWcOAAQOUjpIqlC9f/v1Cbf+KiIhg6dKleHh4vH8tLi6O6Oho3N3dMTExYdu2bfTs2VOvxnnY2toyb948FixYwN69e9+PXfPw8GDr1q2EhIR8dP6mTZsoUaKE4jssf47+vKtCJEBkZCR79uzh559/1ou/YlKDqlWrEhYWxrFjx5SOopeqVKlC+/btGT16dJpZbOvIkSP89ttv3xxQKf7PwcEBW1tbjh49+v61iIgI/vzzT2rVqgW8nRHUv39/WrZsSY8ePWjXrp1ScePF3NwcHx8frKys8Pb2xsbGhj179hAaGvrRefv27SNXrlzY2dkplPTLpFgRqdLixYsxNTWlWbNmSkdJVdatW0fv3r3T/PiMxHJ1dSUkJIRly5YpHUUn2rRpw+zZs0mfPr3SUVKVOnXqEBISwt9///3JsaCgICZPnszAgQPZuHFjqlkuwcDAgHbt2lG1alVWr17Ny5cvP7oLdObMGQwNDXFxcVEw5ZdJsSJSnWPHjrFr1654LeAkPrV582YqV66sdAy9NW7cOO7du5eq70Y8e/aM7t27s379er16LJFalCxZktDQUM6fPw9A8+bN3091P3z4MBMnTiRXrlwKMWOb9wAAH1pJREFUp0ycihUrMnr0aM6cOUP79u05dOgQDx484Pjx4xgZGVGgQAGlI36W7id9C5GMXr9+zdatW2nWrJnMAEqkggUL4uzszPLly2nbtq3ScfSOpaUlEydOpFSpUhQpUiRV/lJq06YNo0ePpnTp0kpHSROuXLkCwM6dOxVOojvZsmXj3r17bNy4ERsbG44cOUKZMmWUjvVFUqyIVOX58+fs3LmT8ePHKx0l1TIyMqJr1660bdtWipWvWLlyJWPGjMHHx4fs2bMrHSdeNBoNAQEBNG/eXK9/8aQGfn5+uLm54eXlha+vL9WqVePKlStJXiZfXxgbG6PVahk+fDgHDhxg5MiR1K9fX+lYXyTFikg1tFotmzZtomXLlkpHSfXs7OxwcnJi//798kjoCwoUKEBAQAClS5fm1q1bSseJlylTpvD8+XMGDRqkdJRUL1OmTDg7O2NmZsb58+c5efKk0pF0rnbt2uTKlYsWLVqwePFivdq48L+kWBGpxvPnz5kzZw7Xr19XOkqqZ2dnR4MGDZg6daoUK19hY2PDpEmT8PT0ZPz48Xq1V8p/HTx4kODgYAYPHqx0lDTjcwvApSUajYb27duniuUfZOSVSDXKlSvHqVOnlI6RZtSsWRMXFxc8PT2VjqLXmjVrhpOTE66urkpH+aKrV6/i7u5OQEAA9vb2SscRqYSBgUGqKFRAihWRSri7u+Pl5ZXiy1endW3atCE0NFRWtv2GatWqUaRIEVavXq10lE+EhYUREBDA1KlTlY4iRLKRx0BC7125coXnz59Tt27dNDO4TV/Y29vj5OTE0aNHKVu2rGxw9wU2NjaMGjWKdu3aERUVxa+//qp0pPdKlCjBkSNHcHBwUDqKEMlGihWh98aNG8eLFy/w8fEhNjZW6ThpilarxdramtWrV1O9enV++uknpSPptYEDBzJ9+nRcXP7X3n2HR1Xlfxx/30khIQkQIAUIXSlSRKOL0lcRASmKDVFxKQqoKErxJyquLlEXRBZFsVFkXQvWRQELYFlQFBai0kJIAiEhCZBghrSZycz5/UExAWRVkswNfF7Pw/PAuWfu/c4QZj6ce86Z7rRs2dLf5TB16lQmT56soCJnPIUVsb158+aRm5uLz+fzdylnJGMMEydOtN23rNpRp06diIiIYPny5dx5551+nXC7detWNmzYcMZPAhUBhRWpBmrVqqW5KmIbc+bMYf78+UycOJHZs2f75dbk0qVLWblyJYsXLyY6OrrKry9S1TTBVkTkdxo1ahQbNmzwy+q0goIC3n//fXr06KHRMDlrKKyIiPwBq1ev5p133mHBggVVds309HQeeOABhg8fri/xlLOKwoqIyB8QHBzM6NGjWbhwIQcPHqySa37yyScUFxdz2WWXVcn1ROxCYUVE5A9q3bo1r7zyCg899BAbN26stOv4fD6efPJJCgoKqnQkR8QuNMFWROQ0tGnThlatWrFo0SIuvPDCSrlGcnIyr7/+Olu2bKmU84vYnUZWRERO04QJE7jkkkuYNm0a+fn5FXrujz/+mDlz5pCYmFih5xWpThRWREQqwLBhw/jmm29Yu3ZthZ3T6/UydepUJk6cSFBQUIWdV6S6UVgREakgK1eu5Msvv6yQ7xDauXMn9957L4sXL7bFbrki/qQ5KyIiFWjGjBk0bdqUAQMGEB4e/ofPM3v2bNq2bUunTp0qsDqR6kkjKyIiFWzt2rVMmDCBzZs3/+7HFhcXM2vWLDp27Mjdd99dCdWJVD8KKyIiFSwuLo5x48b9obDx/fffs2rVKsaMGVMJlYlUTworIiKVID4+nqFDh3LXXXf95sdkZmYyefJk3nvvvUqsTKT6UVgREakkV1xxBZZlsWbNmv/Z1+fzMWfOHMaMGUNoaGgVVCdSfWiCrYhIJWnZsiVPPfUUI0aMoKCggL59+/5q3+7duzNz5ky6dOlShRWKVA8aWRERqUTh4eEMHTqUFStWkJube9I+ixYtonPnzlx88cVVXJ1I9aCRFRGRSnbttdfSpk0brrnmGj7//HMsyzp2bMqUKURFRTFjxgwCA/WWLHIyGlkREakC7dq1o2vXrsyfPx/LsqhRowYpKSnk5uYyYMAABRWRU1BYERGpIk8++STR0dGMHDmSVatWMWfOHBISEmjbtq2/SxOxNYUVEZEq1K9fP+rVq0dgYCCXXnopsbGx/i5JxPY07igiUoXCwsL44IMP2Lp1K927d/d3OSLVgkZWRESqWL169RRURH4HhRURERGxNYUVERERsTWFFREREbE1hRURERGxNYUVERERsTWFFREREbE1hRURERGxNYUVERERsTWFFREREbE1hRURERGxNYUVERERsTWFFREREbE1hRURERGxNYUVERERsTWFFREREbE1hRURERGxNYUVERERsTWFFREREbE1hRURERGxNYUVERERsTWFFREREbE1hRURERGxNYUVERERsTWFFREREbE1hRURERGxNYUVERERsTWFFREREbE1hRURERGxNYUVERERsTWFFREREbE1hRURERGxNYUVERERsTWFFREREbE1hRURERGxNYUVERERsTWFFREREbE1hRURERGxNYUVERERsTWFFREREbE1hRUROW2WZfm7BLExy7Iwxvi7DLG5U/2MKKyIiIiIrSmsiIiIiK0prIiISKXSLSA5XQorIiJSqTSnSU6XwoqIiIjYmsKKiIiI2JrCioiIiNiawoqIiFQqTbCV06WwIiIiIramsCIiIpVKq4HkdCmsiIiIiK0prIiIiIitKayIiIiIrSmsiIhIpdJqIDldCisiIlKpNMFWTpfCioiIiNiawoqIiIjYmsKKiIiI2JrCioiIiNiawoqIiFQqrQaS0xV4fENQUBCJiYl8/vnnFBUV+aMm8QOHw0FOTg75+fl89tlnFBcX+7skqSYsyyIvLw+n08mnn35KSUmJv0sSG7Esi8LCQgoLC1mxYgVut9vfJYnNOBwOsrKyyMvLY+vWrZx33nkn9DkhrAQEBJCTk8O2bdv0pnMWsSyLgwcP4nK52LZtGy6Xy98lSTVhWRZOpxO32822bdv0YSQnKCkpwe12s337djwej7/LEZtxOBzk5uZSVFREZmbmScOKZY4bn0tISMDr9TJt2rQqK1TsIT09nUGDBpGYmOjvUqSayc7Opnfv3mzevNnfpYgNOZ1O4uPjSU5O9ncpYlNpaWkMGTKETZs2nfS45qyIiIiIrSmsiIiIiK0prIiIiIitKayIiIiIrSmsiIiIiK0prIiIiIitKayIiEil0g62croUVkREpFJZluXvEqSaU1gRERERW1NYEREREVtTWBERERFbU1gRERERW1NYEREREVsL9HcBFa4wjQ/fWo25oD8DLmxAkL/rKcdwYNtXvLNwOSnGS4eB47mxezNCNFFeRETkV1XMyErhThY+fANNmjRhxNx1OEvLHCtIYu49fbgu4SNy3BVytVM7tIP3XvwHb6/fg6cKLvd7eHI2MGPKOJYWtmTgdddwUfPIMzAtioiIVKyKCSveYvam/MSB3DzemD6VuWsyOLYFUGkRe1N+ZEt6Lm5fhVzt1ByB4KhJoMOBvQYsvOzdupSPvqvDpUOH0bNzN9o1rk2gvYoUERGxnYr5j71lUeoqpu1Nk+nvXMbTw/9Gl6R59Ap1gGWB5SDAOvxbAHfhQZyuQGpHRhB09MPaU8SB/EJCa0cRFgR4XeTnuwgJr4VVmMnen10QHE5kdDS1g3wU5O4n9+cCCAkjpmEMIcc2HTIYHASHOKB4P+k5h/AaBzXr1KV+ZC0Cytbt9eLMyuCA24uxAqgbE0OdmiGHQ47xUXzIicdRi5refHJyc3GFRdMsuhaOXwkYnoOZZP7sxmAwVjjR0fUJr3k4D7ry0ti5JYXiYENgfhbZ2S7C69YlPFjThkRERE6l4u5C+LwUBjThzicS2Nj3eiZNGMTXL11FzRM6eljz5FXcsuwClqx9nm5HO/x3Dh0HP82It/aT8GcHJu0T7rxxGlnxPelax8u+/U4yU38gu9VtJPSuz1dfryPHVUrGuiU4BrzOy48PpHEwgIPAoCJ+XLGEJ7fmkH0ggOLcDJLTM+jzyHs8MLg1YQCuNN596WnmvprGuV2aYmX/QHJoPDePf4SRXaJxlOTw1n2DmZ4Ux4DO0RxKLcT0GcFzo/9MeNDxaaWYzR8uIGHmv/C2aUvtQAd52zOwzv0T4xMm0zMmnC0fP80L723i4M8/s+ylx9jxVTfGTbiVzo3CK+yvQERE5ExUcWHFAkrdeJpewYJHB9H47nsZ17c9r/UNOK6jAePF6/NR7tsijA+v14vvWGMAFptJSuvFAy/P4srmIez/8VWu7XIP9+35Ky/On0GPRhEUfBtN1wFjeLpnV+b0qws4CHBksy1tP//34Fwe7xAGHOCzJ4cxfNQEYmP/xZ2d6/L9c8O5a1ZjZm9ezrB6AD6WTe/NqKmziF/6FBfUCCDAkU3qNhd1pyTw9Ky2vzpZd9eKBxg+ch393nqLhD4tDjd6NjLzuqHceq2Xdz/6K38a/jxPRU5k0D0/MvyJfzGmQwW97iIiIme4Cr8HYbwQc+vfmTfY4t//9yBLd3ipecJIhHXk16mU4nE1oevV19OleQgANWvH0Tgukg5X9KJHowgAwi/pxyUOHwcOFB55nBe3qylXjx5H/w5hR9rqc2n/4XQO2simzXsoZSvvztmOt30cQavf5J+LF/P62/8mpyAIx/pNbC4qBgweVzjndBnK9QN/PahABitmr2J751uZ1LPFL81BF3L9sO6Ebvyc/+47dLitxI3X58V47Db1V0RExL4qaTFKA255+jXW9bmKZ/8aTWNPCIFlYpHl82FZBkfZQZdA68T8YlmY0l8aDR5KAW8AGI52P7z0yBFQ9sEWjuNPd3jqzJGY5KUUg49Sig4VUOz2QmEhVqthzHq5JV3rhoIvH7CwjIX1y8VOwofBgOPE3GdZYGHZbKKviIhI9VJpsztrRF/M1Onj2bd0DouWpRIWGnzkSCDNL2yPe/96Nv145J5PwW4+XLqaomIPp//lnAEE19jFh4sW8cWOkiNteWz45G02hvXksi6tCKAJ3QY3J7gwhBbX387YsWMZO24cY27qSYsuLYkJtCh7j+rUX27ehCtHxBPzn3/x/La8X5qLfuDthf+l9Kob6N2oDocn/oqIiMjvVTEjKwYwBmPAHPtEDqJ53zuY9uAX3JawhtJj7Q6a9JtIwtL7eHZkf366rCXFVhjnhEbRJCi4fDIwvvIf8cbC+Ch7EY6GgF+aSin1tia+jZulM8eyLCiMkrxsUtIKmfDic1zTNhQIZcjTr3Pomad4oPtg4ns0xufx4gwIplmPm+nYpMGRc3l/U8RoeeNMXimdxaO33MzeHi0ICPCQnpJJcOxwljw5jnPCraMvEj7zv8KPiIiIlGUZU+6Tn4SEBLxeL9OmTfvtZ/F5yM/dR6GjFtF1I8rtHeItLGR/TjYmMpboOmEcvVtT6jrE3l0ZHHJ7MJFNOLdhBIVZWTjqxVEnBCgt4sD+gxBen3oRNbAAU1pM7r5cTHg0UbWOjtSUkJdxAF9kA+qHBYC3mP37SgiPrI0jP42UA8X4CKRO/UY0iokof0umtJQDqclkeXw4jBdTuzHnNIwkJAAwXgrycnB6w4iKrv2bdsJ1piazp9h9ODmF1CWuUUNqhx49avAUHWTfQQ+1omKICD7VmfwjPT2dQYMGkZiY6O9SpJrJzs6md+/ebN682d+liA05nU7i4+NJTk72dyliU2lpaQwZMoRNmzad9HjFjKw4gqgd1YjaJzkUEBZGbIuWJ164RgRNWrct11ajUVyZDjWp36D8wmcrMJT6DeMoL4S6cWXaAkKJanAkIYS05LyYU9QdGEj9Vm2pf7JjVgDh9RryexYW12pxLu1+9ahFUM26NDpxLbeIiIicgnZ7l7OAYc+mN3gmYSGpvjoEleaSWtyeSU88wI0Xx3H84nqRU3Ox67uFPPzIMgrDArG8HgobXsxd99zHoPNq+bs4sQN3Lsk71jP//vGsDriIh+e9yaBmZTsUsW3tYp66712cTSPx7E+jVo9xPHTfKNpF+qtoe1NYkTNfqYvd25NofvciZveKA5PFe5NuYdSg8YR89yZDmoT4u0KpNpxsePZebn3rAMMfmcv/9Wt6bMKcdfqrA+RMkJ/Es1Nu5onEOK4M87I1JZU8V9kOhtQlt3PlnakM++AdXuseh8n5D5NvvoEb0wNZ/uJt6C3pRNrrXc58gSF0u+lx7ul15Hah1YCBA+KJLv2c1VuL/VubVCuen95myuwv6Xb/DCb2a3p4KwTLUlCRXwTVpsuIZ1m19E2mj+2Bz+srt7OFMVt59a8rCRgylae6H35PsmK6cfvQrhz68C3W/Vzkp8LtTSMrcvY5lMbCN5dREDeGW7pE+LsaqUa2rPma1NgrGO34hoXPr6CgxIcvJJqLelzFnzvU83d5Ygc1Y7nokljAR0aJ+8TjKd+yMreEjhefV665QbM2hAYtZP1PxdwQq8mNx9PIipwVfIU5fPDEEIbccCvXDe7PzB0X8vic++lcS3ldfqsCDuQU40pcxhtr9hEZ24xzWzTEt+1Nbh08khf+k+7vAqU6OLCPTK+hQVTZpR0WEXVjCA4+wN6cUr+VZmd6p/4dinZ9y/L1e2gQfxVdW4T97weIbThqRtHv3vn0cgdQIyKfb2b+jUlXXc6615bx6pATV6uJnMjCskrxhHVi2Nix3NDq8EzIvhc2ZNfXfXjz/W+5unsTGvq5SrG5sAhqWxb78/KgzBraovw8PJ4Qakdoyv/JaGTlpHy4S1y4S8tv35a3di6jRv2FZ77a76e65A+zHISERRIZWYuagY3p/eBj3NathPfnfUSuv2uTaiKM+o0iiSjOp6Dol+/3Cq5Zi/rRjfD69D9i+Q3O68ilwUHszCj7OWI4kLUTV/EFXHS+ZteejMLKSXiLvmZMyw4MXrijXHvDmxZz8OcClgxv4qfK5I/wefay8ZNVZJS5fVyU/g2JW4to3Lk9dfxXmlQz7S/vR3zzDD5YsZlCH0ApO9ct4eONIXS+6MKT79kkZy0THIjlgMAyu4pajvMZ2DeGvcvf4nvnkX4l3zD/5S8xV9/KwAa/Z3evs0fF3QbK38KrLy7kq60HCQkKICSiJ3fPvpnWAJSy5cPnmL88kXwTjPEEEtt6IPc82J/Yo49PXcaUeU5ufrAruxc9wvtbAvGVhNPr9nsY1qslIQDefDa+t4SV7j9xzflbeXPBCtKcQQSHtGVkwiQ6l/vU2cXbU2azKrcQr9dNnXMvYfi4Ozm/7tHjhrxvX+Hel74jNBhKChrQd8KdXBH6FU88v4jVOXtwL3iAO75pQrurhnPbdRdRZ/enTJq7ku5jZjG41dHzuNn05iwWfpFEEUF4XcE0u2AId024/Ngbl2/7B0xZ6GXElE5sffVxlu0IwldSiz7jJ3LjJXHHdsfN3f4ZC+ctZnNhDQK9HfnL30fTLVq3m06XwxSy/a1HGfH8O3RtZDBWMdu25HHBmFksuefP2mdFfrOA5kOY9WIuE0Y+zC1bWlPP8rAv8wADF7zGhIFtseHG1FLV9n/PzLlvsC2jAFfqt7j3/8wrD4xlVY1orrzrdoZ0bszVCQvY8egkbhw4jAEd67B3YzKBF4zjX48OI6qGv5+ATZnjTJ8+3Tz22GPHN5/avvXmsevamxbX/9V8vnGn2ZW83fx79gRzz4e7jDHpZsmkweb8C/5iFv1nk0lJSzNJP6wxf7umubmo/6Pm631HzrHmURNVK8i06T/CPPPv/5rMrBTz6d+HmXPq/MnMWJdlvMYY484xHz94qSEsxgz4vxfNVxt3mLSUb0zCZXGmaZeHzMaj9eR8ZMZ37WDajHze/JSUYtK3fmcWTLrcNOkzxizf4TLGGJP19t0m7pxOZvw/15s9e/aYLR/NM2OfXmx+SMs0aVteMX1C65n4qR+azF1pJmO/03iMMebrh039enXM5FW+IxdKMovu6Gs6XjLWvP3djyYlLc1s2/C5mdqvqbn0uplmfd7hXr6Vk0x4aJDpcPU488LyRLM3e6f56NHBpklkD/PC5sOdClJWmNt6tDcj/vG5Sc/OMCnrlphpCUtNVunRa1W+3bt3m/PPP7/KrleVPO58k5qcZHbs2GF2JCWZnXudxl3q76rOHFlZWaZdu3b+LqPKFOdkmtQdSSYpaafJyHKaqvtXWj3l5+ebc845x99lVA230+zZlWKSknaY5NR0szcjw6Qmbzfbt+0y+5wlx35WSj1Osysl2SQlbTdJO7NMQaHXr2X7W2pqqunUqdOvHq+AsFJiNi4aZ1qd298sXO884WjKR4+ZDvUuMn//ZHe59tzEN0y/WjHm5mfWmhJjjPlmuomNamtm/VDmL8z5lfnLxVHmkqmrTYHPGOPZZz6Y1NM07f+Q+aH4l255Xzxg4qJbm+lrfMaYUrP64X6mftPbzFeZRcf6uLe/Y4Z1bGfGL95ijNlo7m5f38RPXn3SNxlP4XJzXViM6TYnsfyBtY+bqHp1zENfHP7jltfvN+dG9TAvrc0u1y1rzTzTo2ZjM3bBRuM2xphVD5q60ReYF5PKdMpbYYa0izS9nthgfMaY3J/eMoMahZhWo18wm3NcJ3uhK92ZHFakcp1tYUV+n7MqrMgf8r/CSgXcBiomb+9uPBHRxEYfv2dFMQcP7CYrLI6YRuX3IAivF0vTZoXsyS+kBKiBwbLiiKxVZnOlkDBigmqwyfkzPh+AwZiahIbUo2aZOUgB4ZFElZbiLCgEiti7twBXfgpPjruF54LAh4VV6mS3pxXX1AnGl59E6oFSmrZqysm3cvLiw3Dkor+igNycPeyLbEpMTPlvRaodE01cowJ+dhbjBoIAh9WIOmVfnpAIGgQGs8d5EI+Buu1vYNHHPh556iVuv+GfFGc04/b5j/OXnuegFfciInI2q4CwEkRY3UhK8g+RV+CGcndtQ6kX05y4okT27jkA7X+Zf+Hcv4eU7ChaxMWUWbzlLZ8PjA+fMVhlt//DYIzv8A7XR5OGz4fv2C6SYdSOCMTRtB9/f3UGHaNOche5JJVIh4OtOQd/5TkZvFjgONVshnCiGjUlNm8de7N+hpbHZt9wcG8muw7G0q1hfcIAc/S5lV1cdOS5Oayjz80istNNzH3rJiCLN+++ljF9xxKZ/hk3RWketIiInL0qIKyEcWHvkVz3zgief/Y5Yu8YTMPgQrLXL+OdyGE8P3goE4Z+wbSnnubc0BF0iA2hIO8n5k95hqCB05gwuuPh03g9YIoo9ZVJIT4vLgxFpUcSjDHgLcFn3HjLdDPGQ5HP4PZ6gDr0nzSZkcl/45aJ81h4/2WEBAdRuu8n3tmUTY+rRtCnVW/uu/8Krlt0O9PbvcH1bSEg/Xv+sT2UsUOvpn3dFpzfKYAl33zFxr4h1KsVQ8PY2gR53RgD7iMXbzPoVsZ/uo6nHn+Gpo8Oo0W9YJw563lp0gJibnmUsdcfnoVrvG4MxZSWC2JeSjAUlhoCrVJ2rXqDl9/P5/L7rqQxRRQUeKkf14KoUG3jLSIiZ7cKWQ0U3PIynv3nu7y86A3efPkZgh0OatbpxcQnDn/N5G3PfUDrBa/y7usvsTokEB8hNLtrEf+4qdMv4zCNujLq9ijOjyzz4RzUkMtvGE1c43MIdgBWTVr2vJHb2remXpnBhhoNLmX0WIu2zQ/fG3LE9eOZZe354JG5LHxpHuClOPJcBg0bRZ9Wh5eFxU98gy/azeKJfz/Hcyt9uIoa0vfOEbSOCgLOY9I/FxA0431emJHGBVfdws3XXEiduG7cMcZDl6Mrl0M7cteCpXSY+yIfvvYiriAHHiuc9lNfZ/w17Y69uFbTXtwx+lzalb0NFNyEfsPuoH27JhgCaXbJFfw57TnemPkPQoN8eENH8d6G27ggXGFFRKo3Y8z/7iRyCpY57qcoISEBr9fLtGnT/FWT+El6ejqDBg0iMTHR36VINZOdnU3v3r3ZvHmzv0sRG3I6ncTHx5OcnOzvUsSm0tLSGDJkCJs2bTrpcU2GEBEREVtTWBERERFbU1gRERERW1NYERGRSqUJtnK6FFZERETE1hRWRESkUh3esFPkj1NYEREREVtTWBERERFbU1gRERERW1NYERGRSqXVQHK6FFZERETE1hRWRESkUmk1kJwuhRURERGxNYUVERERsTWFFREREbE1hRUREalUWg0kp0thRURERGxNYUVERERsTWFFREREbE1hRURERGxNYUVERERsTWFFREREbE1hRURERGxNYUVERERsTWFFREREbE1hRURERGxNYUVERERsTWFFREREbE1hRURERGxNYUVERERsTWFFREREbE1hRURERGxNYUVERERsTWFFREREbC3w+IaAgACysrLYu3cvBQUF/qhJ/MDhcJCZmYnL5SIzM5PCwkJ/lyTVhMPhICcnB5fLRUZGBkVFRf4uSWzEsiycTicej4fdu3fjcrn8XZLYjMPhID09neLiYg4dOkRERMQJfSxjjCnb8OWXXzJ//nxq1qxZZYWK/1mWxaFDh/j0008ZOnQoHo/H3yWJiMhZxOVy0b17d0aNGnXCsRPCipy9SkpK2LhxI126dPF3KSIiIscorIiIiIitaYKtiIiI2JrCioiIiNiawoqIiIjYmsKKiIiI2JrCioiIiNiawoqIiIjY2v8DmCkSt2avJgoAAAAASUVORK5CYII=)
Number of connections for 3 noncollinear points = 3
Number of connections for 4 noncollinear points = 6
Next from the figure, we get number of connections for 5 noncollinear points = 10
So the sequence is 3, 6, 10
Hint:
Try joining the non collinear points.
The correct answer is: So the sequence is 3, 6, 10
Complete step by step solution:
![](data:image/png;base64,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)
Number of connections for 3 noncollinear points = 3
Number of connections for 4 noncollinear points = 6
Next from the figure, we get number of connections for 5 noncollinear points = 10
So the sequence is 3, 6, 10
Related Questions to study
Blooms Level : Understanding
Meri analyzes the data collected to determine how long after posting a new blog her new home page received its maximum number of new views. Her data is presented in the table. How can she determine whether there is relationship between the time after posting and the number of new views.
NUMBER OF VIEWS ON HOME PAGE :
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)
Blooms Level : Understanding
Meri analyzes the data collected to determine how long after posting a new blog her new home page received its maximum number of new views. Her data is presented in the table. How can she determine whether there is relationship between the time after posting and the number of new views.
NUMBER OF VIEWS ON HOME PAGE :
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)
Choose the positive adjective strategy with 's'
Choose the positive adjective strategy with 's'
Describe the pattern in the numbers. Write the next number in the pattern., 3.5, 1.75, 0.875, …
Describe the pattern in the numbers. Write the next number in the pattern., 3.5, 1.75, 0.875, …
Given an example of a non-linear function in table form.
X | |||||
Y |
We know that the graph of a non linear function is not a straight line.
So, we can plot the above ordered pairs to verify that the graph of the above points is not a straight line and hence not a linear function.
Given an example of a non-linear function in table form.
X | |||||
Y |
We know that the graph of a non linear function is not a straight line.
So, we can plot the above ordered pairs to verify that the graph of the above points is not a straight line and hence not a linear function.
Choose the synonym for 'Inference'
Choose the synonym for 'Inference'
Describe the pattern in the numbers. Write the next number in the pattern.
5, − 2, − 9, − 16, …
Describe the pattern in the numbers. Write the next number in the pattern.
5, − 2, − 9, − 16, …
Describe the pattern in the numbers. Write the next number in the pattern.
3,1,
…
Describe the pattern in the numbers. Write the next number in the pattern.
3,1,
…
Sketch an example of a linear function in graph form.
We can take any straight line in the xy plane and derive its equation in the above method; we will get a linear function. We can check this by calculating the slope between all the points. If the slope is constant everywhere, then it is linear.
Sketch an example of a linear function in graph form.
We can take any straight line in the xy plane and derive its equation in the above method; we will get a linear function. We can check this by calculating the slope between all the points. If the slope is constant everywhere, then it is linear.
Select the positive adjective for 'go' es
Select the positive adjective for 'go' es
Choose the synonymous for 'sport
Choose the synonymous for 'sport
Determine whether the following functions are linear or non-linear and explain how you know.
![Y equals 2 to the power of x plus 3](data:image/png;base64,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)
There are other ways to determine if a given equation is linear or not. If an equation can be written in the form y = ax + b, where a and b are constants, then the function is linear. Another way to check if an equation is linear is by checking the highest degree of a term in the equation. If the highest degree of any term in the equation is 1, then the equation is linear, and if the degree of any term is greater than 1, then the equation is non-linear.
Determine whether the following functions are linear or non-linear and explain how you know.
![Y equals 2 to the power of x plus 3](data:image/png;base64,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)
There are other ways to determine if a given equation is linear or not. If an equation can be written in the form y = ax + b, where a and b are constants, then the function is linear. Another way to check if an equation is linear is by checking the highest degree of a term in the equation. If the highest degree of any term in the equation is 1, then the equation is linear, and if the degree of any term is greater than 1, then the equation is non-linear.
Determine whether the following functions are linear or non-linear and explain how you know.
![straight Y equals straight x cubed minus straight x squared](data:image/png;base64,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)
There are other ways to determine if a given equation is linear or not. If an equation can be written in the form y = ax + b, where a and b are constants, then the function is linear. Also, the graph of a linear equation is always a straight line. So, we can plot a graph of the given equation and check if it is a straight line.
Determine whether the following functions are linear or non-linear and explain how you know.
![straight Y equals straight x cubed minus straight x squared](data:image/png;base64,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)
There are other ways to determine if a given equation is linear or not. If an equation can be written in the form y = ax + b, where a and b are constants, then the function is linear. Also, the graph of a linear equation is always a straight line. So, we can plot a graph of the given equation and check if it is a straight line.