Maths-
General
Easy
Question
Srinu needs to advertise his company . he Considers several different brochures of different lengths and areas. He presents the data as ordered pairs (4,24) (5,35 )(8,24) (2,20) (9,27).
Represent it in an arrow diagram and explain whether it is a function or not .
Hint:
An ordered pair is represented as (INPUT, OUTPUT)
A function from set A to the set B is a relation which associates every element of a set A to unique element of set B.
The correct answer is: function.
We have given the following data of Srinu’s company
(4,24) (5,35 )(8,24) (2,20) (9,27)
Arrow diagram for the given data will be
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAccAAAEBCAYAAAANTW4bAAAgAElEQVR4nOzdZ1iUV9rA8f8UhqH3JkUQUFQURJTYidHYYk3TrCUm0cT0xM2m7JuySTbrpmzaJrupxpKmMbHH3kVBEEQBBem9F6nDzJz3Ay/zxmisMwzl+V3XftjwzHPugfG557T7yIQQAolEIpFIJAZycwcgkUgkEklnIyVHiUQikUh+R2nuACQSiURyZU1NTRQUFFBfX49MJrvoZzqdDi8vL3r16mWm6LonKTlKJBJJJ6HRaMjPzyc3N5f4+HhqampQKpVUV1dz7tw5GhsbL5scPT09CQoKwtLSEiEEw4cPx8fHBx8fH9zd3c30bro2KTn+hhCCqqoqMjMzkcvll/xMrVbTu3dv7O3tzRShRCLpbpqbmzl69CgnTpygoKCAjIwMCgsLSU1N5UbXSwYFBeHu7o6npyfe3t4MHjyYgQMHMnjwYGxsbIz8DronWU9drVpTU0Nqaipnz54lOTkZuVyOTqejoKCA/Pz8yyZHlUpF79698fT0RKPREBQUxOjRo1GpVPj7+2Nra2umdyORSLoSjUbDkSNHiImJITMzk7i4ONLS0i5Kho6OjgwYMICWlhY8PT2JiorC3t4evV5/0b2USiXZ2dkkJibS0NAAQGZmJlVVVYZrXF1d8fX1JSwsjFGjRjFgwACGDBmClZVVx7zhLqjHJEchBMePHyc1NZWEhARKSkrIycmhoKCA8vLyG7qns7MzQUFBqFQqfHx86NOnD2FhYYwZMwYvLy8jvwOJRNLVaTQatm/fzvr160lKSuLs2bOGZGdra0t4eDg+Pj6MHz8eBwcH+vbti0ajwdnZmcDAwEuGVNvV1dWRl5dHU1MTcrmc8+fPU15ezqFDh8jOziYjI4Pa2lqgLVH6+PgwZMgQ5s2bx9ixY7G0tOyw30FX0e2T4/Hjxzlz5gyxsbEkJCRckgwtLCyIiopCp9OhUqkICwsjLCwMnU530X1kMhmNjY0kJCRw9uxZLC0tKSkpISMjw3CNUqnE09OTwYMHM3jwYIYMGUJ0dLQ05i+R9HBarZZt27bx3XffER8fT1ZWFgBqtZpbb72VsWPHEhQURHBwMI6OjvTu3dso7WZnZ1NVVUVubi4HDx4kOTmZEydOGHqYISEhDB8+nAULFjB27FhUKpVR2u0Oum1yPH78OF9++SUnT568KCHK5XLGjBnDoEGDGDZsGHK5nMGDByOEQKFQ4O3tjZOT02XvqdfrKSsro7i4GKVSSWVlJdnZ2dTX1xMfH8/+/fvJz88H/j9R9u/fn9mzZ3P33Xfj6uraYe9fIpGYn06nY+vWraxZs4bExESysrJQKBSEh4czb948AgICGDRoEIGBgZdM5RhbVVUVJSUlnDt3jiNHjvDDDz9QVFQEtCXJyMhIFi5cSHR0NBYWFiaNpSvodskxNjaWzz77jJMnT5KcnGwYwx87dqxhvD00NBQvLy+cnZ2N0qZOp6O8vJyzZ89y5swZTpw4wZ49ewwfPHd3d0JDQ7nnnnuIjo7Gz89PGuuXSLqx9mmct99+m+TkZENSDAsL4/7772fMmDGEhYX94TCpqdXU1JCSksKWLVtYtWoVJSUlQFuSHDx4MB9++CGenp5mia2z6DbJMS4ujk8++YTExERSUlLQ6/U4OTkxf/58xowZw8CBA/H09DRaQvwj7Yny3LlznD17ls2bN7Nv3z6am5vx9PTEzc2NRYsW8eCDD+Lo6GjSWCQSScfT6/UsX76cvXv3cvr0acPo1EMPPcTo0aMZNGiQyXuJ16qmpoa0tDQ2bdrEN998Q2lpKQCjRo1i7ty5LF26tMcOtXb55NjU1MQTTzxBbGwsaWlp6HQ6HB0dWbBgAXPmzGHQoEG4uLiYJTa9Xk9+fj5Hjx5l9erVHDhwgJaWFtzd3QkMDOSFF15g6tSpKJXSjhqJpDs4fvw4r7/+Ort27UKn02FpackHH3zAyJEjGThwIAqFwtwhXlZNTQ3p6emsX7+eTz/9lMbGRlxdXRk1ahRffPEFbm5u5g6x44ku7OuvvxYTJkwQFhYWAhAODg7iiSeeEAcPHhQVFRXmDs9Ap9OJ3Nxc8f3334vbb79dWFpaCkD4+fmJ+fPni6ysLHOHKJFIbtLjjz8uBgwYIAAhk8nE2LFjxf79+4VOpzN3aNesurpa7Nq1S/j4+AhAACIqKkp88MEHQqvVmju8DtUlk2NTU5NYvHixcHNzEzKZTADi0UcfFYcPHxZVVVVCr9ebO8TL0ul0Ii8vT/z4449iwoQJQqVSCUAMGDBAbN26VbS2tpo7RIlEcp1SUlLEkiVLDF/S5XK5+PLLL0V6erq5Q7thSUlJ4rnnnjM8o5ycnMSKFStEZWWluUPrMF0uOa5cuVKMGzfO8EeztbUV69evF5WVlZ02Kf6eVqsV5eXlYv78+UKpVApA+Pj4iHvvvVfk5+ebOzyJRHKNjh07JsLDww3/jseOHSuOHj3aLXpZ1dXVYv/+/cLLy0sAwtHRUYwcObJTjcqZUpdJjvX19eLzzz8XAQEBhu7+o48+KmJiYrpsj6ukpERs2rRJBAUFGd7TzJkzxZEjR7rse5JIeoqYmBgxYMAAw+jV3LlzRWZmprnDMrqEhAQxdepUIZfLBSBuueUWUVVVZe6wTK5LJMeWlhZxzz33CHt7ewEIa2trsX79elFdXd1leot/RKfTiZycHDFnzhyhVCqFXC4Xbm5uYuvWrd3i26dE0h098sgjok+fPobEuHbtWlFSUmLusEymqKhIvPTSS4YEOXjwYPHuu++aOyyT6vTJsaWlRdx7771CoVAIQAwfPlwcOHCg2yWOmpoa8Ze//EXY2dkZxvilBCmRdD5LliwRarXaMNrz7bffCo1GY+6wTK6urk789a9/NXwhcHJy6tYJslMnx8TERDF58mTDeP4jjzwizp0716VWf12P+vp6sXPnTsNKMXd3dzFjxoweNQkukXRmDz74oCExjhs3TiQkJPSoKZC6ujoRGxsr3NzcBCCcnZ3FO++8Y+6wTKLTJsc1a9aIAQMGGLrxS5cu7TGLVfbu3WuYBAfElClTRHV1tbnDkkh6tN8mxrFjx/boLVjJycndPkF2yuS4du1aw8IbKysrsX79etHY2Njl5xevlU6nE+Xl5WLGjBmGXvOkSZNEbW2tuUOTSHokKTFe6syZM4YE6eTkJN5++21zh2RUnS45fvvttxclxo0bN5o7JLNpbm4WM2fONMy33n777eLChQvmDksi6VEWL1580VCqlBjb6PV6kZKSclGCXLFihbnDMppOlRy/++47Q2K0trbu0YmxXUtLy0UJcsKECaKhocHcYUkkPcKRI0eEt7e3ITFmZ2ebO6ROpT1Burq6CkB4eHiIPXv2mDsso+g0yfHEiRMiKirKkBh/+eUXc4fUabS0tIgZM2ZclCCbmprMHZZE0q3FxMSIkJAQwyhWamqquUPqlPR6vUhNTRUeHh4CEKGhod1iH2SnKA3f1NTE+++/T2xsLLa2tqxdu5ZZs2aZO6xOQ6VSsWHDBqZMmYJCoWDPnj0888wztLa2mjs0iaRbiomJ4YEHHuDs2bMArFq1iuDgYDNH1TnJZDICAwN5/PHHAThz5gy33XYb1dXVZo7sJpk7Ozc2NopFixYZVmYuWbJElJaWmjusTkmv1xuGL+Ryudi1a1ePWaQkkXSU5uZmwygWIH744YcesY/xZl24cEG8+uqrht/b6NGjzR3STTFrcmxoaBD333+/4Ze5ePFiUVhYaM6QOr2jR48KGxsbAQiVSiV2794tJUiJxIgeeOABwyrx77//XkqM1+G3CdLW1lb84x//MHdIN8ysw6pbtmxh9+7dACxcuJA333yTXr16mTOkTm/kyJHs2rULa2trNBoNU6dOpampydxhSSTdwssvv8y6devQarVER0czZswYLCwszB1Wl2Fra8uiRYvw8PCgvr6ejz76iJ07d5o7rBtituS4YcMG/vKXv1BYWMiIESN46qmnpMR4jUaOHMmePXuwtramtbWVKVOmoNVqzR2WRNKlHT16lHXr1lFfX090dDQrV67E29vb3GF1OQEBARw4cAAPDw+Ki4t5/vnnqaioMHdY180syfHkyZO8//775OXlYW9vz7PPPktERIQ5QumyRowYwW233YZcLufQoUMsW7YMIYS5w5JIuqSGhgaef/550tPTAXjsscfw9fU1c1RdV0hICNu2bQPg1KlT3HnnnWaO6Pp1eHK8cOECn376KUePHsXOzo7PPvuMu+66q6PD6BY2b97M1KlTkclkfPPNN4YhaolEcn2eeeYZjh8/DsC3337L7NmzUSgUZo6qawsJCeG1114DICkpiRUrVpg5ouvT4cnxgw8+4KuvvgJg1qxZREdHd3QI3cqrr76KjY0NWq2WO+64g4aGBnOHJJF0KYcPH+bw4cPodDpuu+02Ro4cKSVGI7CxsWHevHl4e3tTV1fHJ598wq+//mrusK5dR67+2bx5s/D19TUcDFpUVNSRzXdbx48fFyqVSshkMjF27Fhp9apEco1qamrEuHHjDOXP4uPjjXJfnU4nHTf3f1JSUoSnp6cARGRkZJfZqtdhPcfa2lq2bNlCfn4+zs7OzJgxAy8vr45qvluLiopiypQpCCE4duwYO3bsMHdIEkmX8Pzzz3Po0CEAPvroI4YMGXLT99TpdGzYsIHVq1ffVKEOnbaVxoYL1NXVUVdXR0NjI61a3eUvFnqamxqpra2lsakZfSdaf+Dn58eyZcsASE9PN4wcdnodlYVXrFhh2M/Ylfe+dFZardZQIMDa2lo6wUMiuYoDBw6IAQMGCEBMnDhRnD9/3ij3zczMFIBQKpXihRdeuKHDAprrKsWWL98WI0PbelwKhVL0GzJarPhqsyhvuLRHWpl1WNw/JVIA4taFL4gzRZ2r/nJxcbGYPXu2AMTQoUNFQUGBuUO6qg5Jjtu2bTMU77377rtFcXFxRzTb48TGxgoLCwshk8nEmDFjzB2ORNJpVVVViYkTJwpAuLm5iZiYGKPdu7y8XISGhho6A15eXiI9Pf3ab6BvFDvX/lPYgUCmFLYOjsLJwU4oQGDtK554+4eLLr9QnCQeu2esob3xC18UZ4o7V3IUoq2ASXuMEyZMMHc4V2XyYdXq6mo2b95MYWEhbm5uzJgxA09PT1M32yMNHTqUmTNnIoQgPj6ezZs3mzskiaRT+vjjjzl8+DAA77zzDrfccovR7u3q6sqhQ4cICwvD2tqa4uJixo0bZ9gmcjXNFYWkHN/FBSAwcgxfHzjBsb2ruCXYDhrzyTwTQ37j/118oZj33/oHn/90CLlSabT3YAqDBg3i1VdfBSA+Pp63337bzBFdmcmT49q1a/nss88AeOSRR5g/f76pm7xpQq+jrrKE3Nx8Skqr0Js7oGukUChYu3Ytnp6eNDU1sXDhQurq6swdlkTSqRw5coQNGzbQ3NzM+PHjueWWW5DJZEZtw8nJiYSEBN544w3UajXFxcWMHz+elJQUGhsbr/haua0r4+59lg8++jevPPcM08ODsJOp8Xexb/u5QoVSAVDPyo9W8OHHP+I/ai6TJkVjD+g6z3TjRezs7Lj77rsJCgqipqaGX375heLiYnOH9cdM2S1NTEwUI0eOFIAYOXKkOHHihCmbMxK9KEg7KhaNaltVO+iWuaLc3CFdB71eL06cOCEsLCyEUqkUixYtMndIEkmn8vjjjwtAyGQysXbtWpO21draKj788ENhZ2dnOPrqpZdeEi0tLdd8j8qcJPHqsmlCDkLhFCRe+c8WIYQQO1b+XfR3RTgGjBI/H0gWX773rLAEEb3oryKlpNFUb+mmHTx4UADC3t6+Ux+ObNJ++P79+4mJicHJyYn777+fyMhIUzZnFJV5qfzzhQdYdTQfUCDDghv5TqnRaNBoNMYO76pkMhnBwcFER0eze/dutmzZQklJCXZ2dlIFHTPRarVUVlai13eVMYjuSaVSkZSUZFidOnjwYBwdHcnNzTXZv1WZTMaUKVM4d+4cn376KU1NTXzwwQcoFApef/31K75W6LVknjzIP197lS+3HUVh58H9Tz3O8kfuIOPoBt57/wPSKmxZuuxuhga58c3PheiBxupyCgqLCXbpjYWy8+3XDAwM5J577mHdunVs3ryZBQsWdMrSoSZLjrt37+add94BIDo6mpkzZ5qqKaNprspn1bsv8fGmc9g52nGh5sY21Ov1enbv3s2RI0dQqVRGjvLqhBBYW1sDbVtopk2bxqxZs6T6q2Ygl8spLCzku+++kwo0dDKnTp3ijjvu6PB2W1paSEpKuuI1Qqclcf9GXv7LU2xPLMKrTwSPPPMiTz9+F/bA7tQMEs+WA/D5G0/z+RtPG14bt/lz7swr5cfP/8XUYX1M+VZuiLe3N0uXLmXdunWcOXOGNWvW8Pzzz5s7rEuYJDnW1tayY8cOiouLcXZ2ZtKkSbi7u5uiKaPRNlez6Zt3WP7xZvoOjmbGlEDe/eeN7cdJT0/nww8/7BTl3HQ6HSdPnuTkyZPmDqVHs7a2xt7e3txh9GjNzc2GHqKVlRUqlcokoykymQylUolOp6OmpuaSnzs7O/PGG29c8R4ZCXt58amn2JVahI1bb+584CHunTaMvNPJOLq4YeXsSfjQgRTVyVEqZMhkUF5SQHFpFZbWdgzoG4CznZXR35uxhISEMHfuXH744Qe2bt3K/PnzO12Rd5MkxxMnTvDtt98CMGnSJObMmWOKZoxGr2ng4OaveXT5x/gMHstbH31Gr4KVvEvbB/16D6zp1asXUVFRFBYWYmVlvg+oEILS0lIKCwtRKpWEhISgVqul4dUOptVqmTBhAq6uruYOpUdSKBQ0NDSwYcMGzpw5g6enJ3PmzCEgIOCmR1Pk8rY1je1D5jKZjMbGRrKzsykrK7vouCaZTIabmxsjR468YgGUlpo8tq3/nF2pRQA0lOfy7/95lH//T9vPo+64j0++WMnuO++/6HX/efNxnnz5E0bc8yT//ufLDHC3vKn3Zkre3t4sXryYH374gVOnTrFy5Ur+53/+x9xhXcToybGmpoZff/2V0tJShg0bxnPPPYebm5uxmzEiPeUZ8Sx75M9Uq+0ZMW4aAx0q2b49G4D6ulJOZmUT4R2A/TV+1uzt7XnjjTeu+u3Q1HQ6HT///DP33HMPdnZ2vP/++0yYMMGsMUkk5nDkyBE2bdoEwLJly3jxxReNdk6jTqcz1GIVQvCf//yHtWvXkpWVBbTVGA0MDMTb25uFCxcyd+7cK96vuryKouwLhA8dhtri/+8LAo1Gx6CBA7FXXbrRwN3LlxFD+hLi74NV55tqvMTAgQOZN28e33//PV9//TUDBgzoXB0pY6/w2bt3r3BzcxOAeOaZZ4x9e+PTNoszW983bE693P98BkSJn892zTqJVVVVws/PTwBi3Lhx5g5HIulw+fn5Yvr06QIQvXv3Fnv27DHKfVtbW8V7770n/vrXv4qjR4+K6upqUVRUZHhuODs7i8jISPHKK6+IiooKo7TZ3ezevVuo1WoBiHvuucfc4VxE8Vr7mSJGUFNTw1dffcWePXsYNmwYL7/8cpfY8N9cW05cagFBQYEEBPQhoLcP9pZ6SivrUFs7Ez1tCpMnTcXHzrh7oTqCSqXCz8+P9evXU1NTg5eXF+Hh4eYOSyLpMF988QX//e9/0ev1PPXUUyxcuNAwHHozysvLmTNnDnv37uWbb75Br9djaWlJWVkZoaGhLFu2jL///e9MmzbNsEBOcjF3d3fkcjkHDx6kvr4eX19fBgwYYO6w2hgz0+7fv99Q3/Opp54y5q07VkuN2PPlswIQ4SPmijpzx3OTKioqREBAQFsv2MdH5OTkmDskiaRD1NbWigULFghABAQEiN27dxvt3k1NTWLp0qUiODhYyGQyAQgLCwvx4osvik2bNomysjKjtdWdHTx4UHh4eAhAPPDAA+YOx8BoPcfq6mq++uor9u7dy9ChQ/nb3/6Gh4eHMW7d8fQ6qsqLOZffQuQtY5lw+wg679T21bX3HtetW4dGo6G1tZXJkyebOyyJxOTi4uJYtWoVJSUlPP744yxevNgovUYApVLJ9OnT6d+/PyqViubmZsrKyjh8+DDr1q0jNTUVrVZLcXExlpaWODg4GKXd7kapVJKdnU1ycjIuLi6MHTsWR0dHc4dlvJ7jwYMHhZOTkwDEk08+aazbSoyktLRUBAUFCUBMmjRJ6HQ6c4ckkZhUS0uLWL58uQBEYGCgUXuNl7N27VoxadKkS9YsKJVK8ac//Unk5+ebtP2ubNOmTQIQNjY24p133jF3OEIIIxUer6mpYcuWLVRXVxMREcHSpUuNcVuJETk7O7NixQoAEhIS+Pnnn80ckURiWgkJCRw4cACAefPmMX78eKPev66ujtLSUvbu3cvq1as5fvz4ZbdoaLVafvzxR1555RWjtt+dREZGsmDBAhoaGtixY4dhpa85GWUrx/nz5/niiy8AGDNmDAMHDjTGbSVGpFQqGT16NAMHDiQlJYVPP/2UWbNmoezklfwlkht14sQJEhISsLe3JzQ01GiLcJKSkqisrCQxMZGKigo2bdpEZWWl4RoHBwfc3NwYMWIE+fn5hgR9Mwcfd3e9evXirrvu4vvvvycmJoatW7fy5JNPmjWmm34y6nQ6kpOTqa2tJTg4mOnTpxsjLokJODo68uijj/LYY4+RlpbG7t27mTJlirnDkkiMLjMzk127dgEQFRXF4MGDb+g+ZWVlNDY2EhsbS21tLQkJCWzatImysjJDMQ0bGxt69epFREQErq6uhIeHExgYyOTJk3nsscc4cOAA9vb2hpEbyeX17duX8ePHs2vXLuLj49FqtWb98n7TLWdkZPDee+8B0Lt3byIiIm46KIlpqFQqQkNDsbCwoLy8nO+++05KjpJuaceOHWzbtg2VSsXMmTPp37//Nb3uwoULNDY2curUKbKzszlx4gRVVVXs3LnzoqOmvLy8sLGxYfTo0URERODi4sLkyZNxdnYG2irm/Oc//+Hzzz/HwsKCxYsXd7ryaJ2Nr68vkZGR7Nq1i3379rFhwwbuvfdes8VzU8lRp9Nx7NgxUlNTcXV1Zc6cOTg5ORkrNomRyWQyBg0axH333ceqVauIiYkhJSVFGgaXdCvp6els27YNgPHjx3Pbbbdd8frq6mpOnDhBXl4eqamplJeXs2/fPoqKigzX2NnZ0adPH8aPH4+dnR2RkZHY29szefLky/Zu0tPTeemllwAYMGDAVU/gkLT1wKdMmcIvv/xCWloa27ZtY8aMGWYrwXlTyTEzM5N//vOfAERERLBgwQKjBCUxHScnJx5++GF++OEHcnJyWLFiBWvWrDF3WBKJ0cTFxRnm+UaNGkVISMhFP6+srKS6upr4+Hjy8/PJzMxkx44d5OXlGYZKbW1t8fLyYvjw4fj4+DBgwAD8/PyYOHEilpZX3tjV2trKK6+8Ql1dHTY2Nrz++utSEYBrFBkZyfTp00lLS+P06dPEx8czZswYs8RyU8kxNzeXc+fOYWdnx5gxY7C1tTVWXBITCgoKYtq0afz888+cPn2a5uZm1Gq1ucOSSIyitLSUpqYmhg4dysSJE9Hr9ZSVlXHmzBlOnTpFamoqxcXFJCQkUFZWZnidu7s7jo6OjBkzhuHDh+Pk5MTo0aPx9PREJru26litra18/PHHrF+/HgsLC5544glmzJhhqrfa7ajVaqKiorC2tiYtLY2UlJSulxwbGho4ceIEAH369GH+/PlGC0piWi4uLsyfP5+ff/6ZiooKdu/eLS2kknQLZ8+eNRwVJ4Rg586d/PDDDxQUFHDq1CkyMjIM19ra2hqGSn18fAgODsbV1ZVbbrnlho8Xq6io4MUXX0Qmk9G/f/9Od9JEV9CvXz9uueUW9u3bR1xcHIsWLTLL0OoNJ8eioiK+/PJLoG0i1d/f32hBSUxLLpczbNgwRowYwbFjx1i3bp2UHCVd2oULFygrK2PdunWGVaq/P8fU2toaLy8vIiMjGThwIH369MHX15fhw4cbFtLcLEtLS4YNG0ZTUxN///vfsbGxMcp9e5LAwEBGjBjBvn372Lp1K7fffvtVTzIxhRtOjoWFhWRnZ+Pm5iYNG3RBLi4u3H333Rw7dozjx48TGxtLVFSUucOSSK5JS0sLFRUVZGVlsX//frKyssjNzSUnJ+ei80qdnZ3x9PRk2LBh3Hrrrbi4uDBw4ED8/f2veaj0ejg7O/PJJ59QX1/PqFGjjH7/nkCtVjNixAi8vb0pLCwkMTGx6yTH6upqfvrpJ6Bt+8aiRYuMGpTE9KysrAyrVIuLi9m8ebOUHCWdmkajIS4ujr1791JcXExeXh75+fmcOXPmoutkMhlTpkxh6tSpuLq60qtXL4KDgzvshKCwsLAOaac7GzFiBJMnT+arr74iJyeHkpKSDj/h6YaSY2lpKV988QWWlpZER0ejUqmMHZekA/Tv359x48Zx8OBBzp49a+5wJJKLaDQa0tPTycnJYfv27TQ2NpKYmEhycrLhGktLS3x8fOjfvz9arZb9+/fj5OTEnXfeyQMPPGDG6CU3w9nZ2XC03p49e9i/fz/z5s3r0BiuOzk2NzezZ88eNBoNvr6+V91DJOm8XF1dmT59OgcPHiQ5OZkjR44wevRoc4cl6aF0Oh35+flUVFSwYcMG8vLyyMzMpKqq6qKFNNbW1gQFBdG/f39mz56Np6cnarWatWvXsn//fkJDQ6VRkG7Az88PHx8fCgoKSElJ6fD2rzs51tXVGSa8XVxcuPXWW40elKRjWFlZERoaCkBJSQm7du2SkqOkQ+n1epKSkvjxxx8pKysjOzub2tpakpKSDNdYWFgQGBhIREQE06dPx9ramt69e+Pu7o6fnx/Qtrfx8OHDAAwfPlwqbNENREdHM3nyZL788ksyMjIoKiqiV69eHdb+dSfH2tpadu7ciVqt5p/7WIgAACAASURBVPbbb7/qhlhJ59a/f3/Gjx/Pvn37SE1NNXc4km5OCEFKSgrFxcWsXbuWpqYmzp8/z6lTp9Dr9UBbkXx/f3+8vb25++678fDwoHfv3nh5ef3hqvjExEROnTqFk5MT/fr168i3JDGR9gpEGzduZNu2bcyaNatDh1avKzk2Nzezfft2NBoN3t7eUq+xG/Dz8+Pxxx9n3759JCUlsW/fPqMf7SPp2bKzs6mvr+ebb74hJyeHnJwc6uvrSU9PN1yjVCoJCwvDz8+PRYsW4eXlhZ2dHf3797/qaRo1NTWkpaUBMGjQIGmVaDfi7OyMh4cHKSkpHb4u4rqSY319PXv37gXagp44caJJgpJ0LHd3d6BtodWRI0ek5Ci5aWlpaXz11Vfk5+eTm5tLU1MTp0+fNmyzkMlkBAUFERISwuLFi1GpVPj7+2Nra3vde6bPnTtn2PgfFRV1zUXGJZ1fZGQkUVFRpKSkkJqaSn5+Pr6+vh3S9nUlx7q6OrZv346VlRXTp09HoVCYKi5JB/Lz82Pq1Kls3779kmXxEsm1SEtLo6ioiJUrV1JTU0NBQQGpqakXnWEYGBiIg4MDS5YswdPTk969e+Pk5HTTBURKS0vJzc0FMFuRaolptI8eAGRlZVFYWNg5k2NRURE6nQ5HR0dp4UY34uzszOjRo9m+fTsJCQns2LGDyZMnmzssSSeWl5fHhQsXWL16NadPnyY/P5+Ghgby8vLQ6XSG68LDw/Hy8uLhhx/G398fS0tLgoKCjHpOX1FREQ0NDQwbNkwqSNINhYSE4O/vz8mTJ0lNTeWWW27pkHav+RPa2NhoGFJ1cnKSzgHsRmxsbAx7iurq6sjOzjZzRJLOKDc3l88++4zk5GQKCwtpbm4mKysLjUZjuCYgIIC+ffuybNky7O3t8fb2Rq1W4+vra5KKNKdOneLrr782tP37EzgkXZ+vry++vr7k5OSwb98+pkyZgpeXl8nbvebkWFlZyb/+9S8A6dDObsjNzQ0HBwcqKiqIjY1l2bJl5g5JYmZZWVlkZWXx/fffk56eTnV1NVlZWTQ1NRmuCQgIwM7OjqVLlxIcHIy3tzcODg706tXrqgtpjKG2ttYwpBoQECDVMu2GwsLCCA8P5/Dhw9TW1tLQ0NAh7V5zcszPz6eurg47OztpwUY35OPjw8yZM1m9ejU5OTnU1tbi4OBg7rAkHai4uJiKigo2btzI3r17KSkpob6+noqKClpaWgzX9e/fn969e/Pggw8yaNAgVCoVvXr1Msu2rvT0dMrKynB2du6+hx/oW6ksKSIjvwSFQoG3jy+9PD0MP9bUV5KTk0vlBQ1yeXvvXCCEFYH9AnFz6vpHCUZHR7NhwwZ+/fVX/vSnPxEUFGTyNq8pOTY0NLB161YAPD09eeqpp0walKTjeXp6GpLj+fPn2bZtG/fdd5+5w5KYWFlZGV9++SW7du2ioqKC+vp6ysvLaWxsNFzj6+tLv379WLJkCX369MHFxQUrKytcXV2NOnd4vWpqagx7c0NDQzv16vnW1lZOnjxJREQEFhYW1/y62uJ0vvjXa3zy0zGampuQy+RY23owc8Eynlu+BE9rGRlHd/HKa3/nUFYFSrkMIQRCtKLTh/DRmo+4b/JQE76zjmFra4u9vT1FRUVkZWV1SJvX9MnWaDSG8j0WFhbSirBuqn1IrLq6mpycHHOHIzGBkpISkpOT2b59O/v376epqcmwoKVd+9mG8+bNY/To0bi7u2Nvb4+zs/N1PdhNLT09nU2bNgFtS/4DAwPNHNHlNTU1sWzZMnbs2MHo0aMNhzZcVXM529d+yAvvfo9c7UBAQACiqYyMjCQ+XbkK/7AInpgRSVZBPifTUqhocaR/30DcHK1pbW2mVeuNrXX3KNIyfvx4Ro0axdmzZ0lMTCQ3N5fevXubtM1r7jlu3rwZGxsbsxwdIukY/v7+3HnnnXz99dfSlo5uorq6mszMTI4fP87q1aupqKigrq6OxsbGi+YO/f396d+/P/fccw/jx49HpVLh4ODQqb8IV1VVUVZWBtCpkvbvyWRtvbnS0lI2bdrEyJEjeemll7jjjjuu+DqdXI3/0NtYuqAJR59gljz9BEm/fMzDj71EeVU1VVV1AJRXlVBeCwNvn8Hji+fiq27C1r03ffv0wdX1xg5t7myUSqVhmicnJ4eysrLOkRzz8/OBtoK/kZGRJg1IYj62traGD9zx48fZuHEjs2bNMnNUkutVXV3NunXr+Oqrr6ipqaG2tpbGxkbq6+sN17i5uTFq1Cjmzp3LmDFjsLKywtbWFhsbmy5xyo5Op+P8+fPU19cTFRXFwoULzR3SH1Kr1bz99ts0Nzezbt06jh07xtNPP41cLmfq1Kl/+DqFhS3DRt/B4KipNJem8v2Hj/K3/2ylSlgx7a453HvHGKCa8qISmoDzx7byyqndCK0GpYUVsx57gRcffwA/x877Bed6jBw5kp9++on4+HjS0tIYNmyYSdu7anJsbGxk48aNADg4OEhbOLoxGxsbhg5tm59oaGigoqLCzBFJrkVVVRVxcXEcP36cNWvWoNfrKS8vv2io1MXFhQEDBjBu3Djuu+8+HB0dcXR0xNraukskw9+Ty+WG1bB2dnaGKk+dwYEDBy773++99158fX157733yMzM5Mknn0QIwbRp0y5/I5kMpUqFUgXNrfWkJhymoroagMysDDIKKwixbaSqqhw9IFMp8Q7wp644j6zcAv77xosE+Pnz5MJpqE30XjuSjY0NanXbO/ltcQlTuWpybG1tNUx6m2KfkqRzaa961NTURGVlpZmjkVxOc3MzJ0+eJD8/n3/84x9UVlZSW1tLa2srzc3Nhuu8vLyIiIhgwoQJzJ07F0tLS9RqdaceKr2ShoYGTp8+jUajISMjg/fffx9o+3Jw+PBhXFxcLipAcDVqtZpffvmFXbt20dzcbJTnm06nMwz1/p5MJkOr1Rr+f1ZWFgsXLsTd3Z1hw4axcuXKP6w65hgwjDdWHWLKjp/55+uvcnT/Or75PITwFS/z8vtreWh5KQobG5y9fCiP+45HnnmZfUmFJKZkUF6rxdfBfAunjGXy5MmMHj2a9PR09u7dy6RJk/Dx8TFZe9fUc9y6dSs2NjbS4aE9wKBBg7jvvvv47rvvOHXqlLnDkfyfuro6du/ezZtvvklNTQ1VVVVotdqLVpXa29szceJEJk6cyH333YdcLsfe3h65XH5ND/7c3FyysrLQ6XQ3nShkMhnFxcW89dZbFxUJuJn7tba2UlVVhV6vR6fTGb4InDp1igULFlx3zDKZjObm5g7phVyOEIKqqirD3zI1NZVBgwYZfq5pbqK4sICSyhps7J0YEBLE9KkTiD+wmaNZ+ygpLiG3qAyFZS0VjTV4uTjjaG2Jg39vXJwcgELkCjkyeffp1LTvY21sbDTK5+pKrvnrhEKhkPa99QCWlpY4OjoCUF5eTmVlJS4uLmaOqutramoiLi6OlpaWa36ICyE4ffo0H374IVqtlurq6ot6hn/URlJSEh9++CFCCMNikN/e83JkMhn19fU0NDT84TXXS6/XXzFeY9HpdDe8Mdzf35+AgAAsLCyM8r5dXV35+9//fsl/bx8CPnDgAH/7298uqUKl0+kuSdK6unzWffAkf/n3HoJCo3h42RNYNaWyZscxAPoEBOLckMGrzz7Nl9tPETF6Bo8+PJfMExvYE5cKWDOoXxBudt2nBrarqysAmzZt4r777qNPnz4ma+uKybG5uZn//ve/QNtqMFMGYm6tLfUkxRyiskVB+7NLCIFSZY1/8CCCfJ3MG2AHcXV15dZbb+XTTz8lJSWFbdu2derFDtD2dyopKSExMdEoxfDVajXbtm3jhx9+AIwznaDVaqmpqTGcWXit9Hr9NX9Dbm1tpbS09EbCMwlLS0smTJhglL+JTqfDz8+Pp59+GgcHB1avXs3LL79MVFQUn376KZ6enhcNWV4LIQQ2NjbY2NgYbcpIJpNdUgxBr9cTExPDK6+8QlxcnKG37+joyF133YWNjQ2WlpZERERc9Dor977cNmsxUdtjiD0TwwtPnUCGQKvV4jdkIjNmz2FARBC3T53B7phkTh7ZxCOx2xF6LTod3L54OTNvH0P32MzRJjIykuDgYDIyMi4qTGEKV0yOQgjq6tqWC9vb2zNp0iSTBmM+gqqiRBaNn0a6SoX8/75B6nVa7Nz78tTfVvHa0igzx9hx2uek9Hq94WGenJxMfn6+UR50VlZWvPbaa6SnpxvtodTc3ExdXZ3R7qfT6a5r/qqjyWQyw5zi9SaFy2lqamLOnDnMmjULpVJplF6UXC7H2dnZqInHwsKC6upqqqqqgLYvMt7e3nh4eFzl1eZRU1PD7NmziYuLo6mpCSEE9vb2PPTQQ7z66qtYW1tf8fURt97Fxp392bB+HZsPnUStsmDE2CnMuWsuwb3bRnjufPhlho2axJof13M4MRU7G3emzF3A9CnReNh2vcVWV+Lt7Y2bmxsZGRmUlJQYRkdM4YrJUavVGg4k7c69RoSW+vws0gCVwoKIURNwU2vR6XRYOXoT6Gva4eS4uDhKS0uNUotSr9dz+PBhVq9efUP3a5+HgbZh1WeeeYYXX3yR+vp6mpqajJp8jDV8ZwoBAQEMHDjQaDFqNBqeeeYZysvLSU9P5913373sN1+ZTMatt96Kvb09b731Fk5OTn8Yg1qtxt7e3mgx/nYFaGeWlZVl6NWHh4d32sQIUFhYaFi9am9vz/3338+bb76JjY3Ntf2u5Qo8gwax7PmBPPxc29/5938nuVKJf/gIXhoUZfgsyBUK5N1wAWVYWBihoaHExMQQExNDTk4OAQEBJmnrismxqamJ7du3Y2try+zZs00SQGcgtK0UZLWdJO7iHsZL/3obMtNwdPVi8NAIHKyub6WXTqfj5Zdf5uOPP75qIWS5XE5VVRUajcZoiaetfNTNPzD1ej01NTWAcVcqCyEYNWoULi4uRolToVAwYsQIHnroIaMsrhBCYG1tja3tjdekFEKgUCg4evQo9fX1vPbaa8yfP5/a2lqEEOj1esPv1NnZmREjRrBixQpcXV1xdnZGoVB0iURlDr/9fHf2bSiBgYEsX76choYG/vnPf2JnZ3cD/5ZkyOUKrvxxkPWY83Xb/13k5+dTXV3d8clRCEFGRgbQ9mDszv9Qta2tZJ09B0Bp/gnmjhxCY30jCpUV0bP+xOcrv6DPlUc/LpKRkUF8fLxhgcPVyOVyo32wZTIZvr6+DB48+IYTj0KhoKCggLi4OCwsLBgzZgx//vOfGTVqlFHG+YUQODk5deqqJtej/WEtl8uJjY2ltraWFStWkJKSQnV1Na2trYYHokwmw8nJiaioKEJCQli+fDk2NjbSYrdrpNPpOHXqFCUlJQwfPrzTnx6jVqt59913zR1GtzJp0iR27txJQkIC6enpl8zVGssfJseWlhY2bNgAtG3+7+wfwpuh1espra5ChQK1mwfDbxmCtryQAzEn2bf1F/765hC+f+vRa75fSEgICxcuRKFQXHVPWUNDA3/9618JCwszytwRtM3pXW0u42o2btzI7NmzcXFxYdGiRVLxh99pn4+tr6/n1KlTpKam8tlnn3H69GnDPK1MJkOpVCKXyxkzZgy2tra8/vrrBAYGYm9vL+0bvgFCCMPogFTnuWdSqVSGgvemnJq56oIcoFv3GgHUNo4888F2Hn6zEbR6nLw8KMk+zbIZg9l4po6s02m0AtfTz5k/fz7z5883VcgdRgjRqRemdIT2nmH7/r+UlBSOHz/Ol19+SWpqKi0tLYafyeVyLC0tcXBwIDQ0lLfeeovg4GAcHR27/b+jjiCEMHyJ7CpzpBLjUigUhpG2wsJCdDqdSYaU/zA56nQ60tLa5uH69u1r9IY7E522jtTEBErrm7Fy8mOclwfIZNg7OAMNKG2srisxdgeurq54e3tTWFjI0aNHWbx4sblD6lC//VJw5swZ8vPz+e677/j1119pbGw0DJW2r6B0dXUlPDyc/v3788gjj+Dn54elpaX08DaytLQ03nvvPaBtMU5nKhsn6RiTJk0iKiqKs2fPcvToUe68806TzDtecVh1586d2NjYdOvFOACNdZW889gcvk+qxcUthJdeX05V+nZWH61C7ezLiNGjzB1ih+vXrx933HEHn332mdGGezuz9mSo0Wior68nPT2d5ORk1q9ff1GtTJlMhpWVFRYWFoSHh+Pq6spjjz3G6NGjUavVUjI0Mb1eb5j3ln7XPVd7T/Faqz/diGtahtndH472jj68+M6HxP7paQprs1i+bAkymQxrO1eiJ8/lucdnmjtEs2gfVr/ejetdQXsybG1tRaPRUFhYyOHDh9mwYQN79+5FJpMZhkotLCwM2yYCAwN57rnniI6OxsrKqsesEOwstNq2LVZKpVKab+zB2lcpNzc3myw//WFybF9lKZPJrrodoctTqBh020KSTt7KDz+tYl9sGnb2LkycsZBpU4dxc0tbuiYbGxs8PT2BtgNyCwsL8fb2NnNUN6d9MUdrays5OTmcOXOG2NhYQ++4fTtN+7yhi4sLffv2ZdCgQdx7770MHz4ckHos5qLT6Th9+jRlZWUMGzasWy8SlFzZ7bffzs6dO9m+fTsPPfQQQUFBRm/jsslRo9Hwn//8B2g7DubBBx80esOdjkyGnbcfS556mSXmjqUTsLa2JjQ0FGirjrN3795OX0bu99qTYXNzM7W1teTl5ZGYmMi+ffv45ZdfDNe1fwF0dHTE39+fwMBAJk+ezNy5c7GwsJBWlXYi7fPAcrm822wFklw/CwsLw6iNqUa2Lpscf7siTNJz/Xa1clfoLbV/brVaLVVVVVy4cIEDBw5w4MABfvzxR+RyuWHzvaWlJTY2Njg5OeHt7c2CBQuYP38+SqXSsExc0rn8dpGUKeeaJJ3fb//+HZ4c22sXSpuTey4rKytkMhnV1dUUFxebO5w/1NzcTHNzM8XFxRw7doySkhLefPNNWltb0Wq1hnlDlUqFl5cX/v7+DB48mAkTJjBlyhT0en2XSP49XU1NDYmJiUDb4c3Ss6nn6tOnD+7u7mRkZJCVlYVGozF6taTLJseWlha++uorrKysWLJEGmTsqSIjI1m4cCGrVq3i3Llz5g7HoKWlhYaGBsrLyyktLSUpKYmEhARWr1590XU2Njb07t0bR0dHIiIiCA4O5umnn75kOE5KjF1DYWEhP//8MzKZjD59+kgLcnqwkJAQgoODOXr0KMePH6eoqAh/f3+jtnHF8SOZrOfU65Nc6rdl7cw5hNVeCD0vLw+tVsuBAweIj49n1apVF1WjUavV2NnZ4eHhgYeHB7fddhvPPvssCoVCGirtBtrnGaXCFBL4//lnCwsLk3zBvWqFHOlD2HP9tqZuR38OmpubaWhooLi4mEOHDqHRaHjttdeor683xNJeRiowMBAvLy/CwsKIjIzknnvu6dBYJR1Dr9cbathKi3Ek7V/cW1tbTTLveNnk2H5gqkKhoFevXkZvVNI12Nvb4+PjA7T12rKyskx2dFlLSwsXLlygqKiI8vJyzpw5w5kzZ1i9evVFh/1aWVkRHByMSqVi1KhR2NnZ8dJLL0lDbD1AeXk55eXluLm5MXToUHOHIzGzPn36oFAoSElJoaKiwvTDqq2traxcuRJoexDNnTvXqA1Kug61Wk1wcDDQVkLt6NGjRkuOLS0thpNfWltbiY2NJSkpiTVr1tDU1GS4zsrKCk9PT3x9fXFzcyM8PJwXX3wRtVotDZX2IFqtlvz8fLRaLf7+/lIhfAkRERH06dOHjIwMCgoKiIyMNOr9L/t0aR+2kpZKS9oplcqbHspqaWmhtraWoqIijhw5QktLCx988AGFhYWGbSOWlpao1WpCQ0Px9PQkNDSU/v37M2/ePGkorQf7/RD/b0cTJD1Te7UkMM2iussmRykpSoxBo9FQU1NDbm4uJSUlZGRkcPbsWX766Seqq6sN16lUKsLCwlCr1URFRaFSqXj22WdxcXExY/QSiaQnk5Kj5IraJ7qvpRBAS0sLer2ejIwMqqqqOHv2LImJifzyyy+Ul5cbrlOr1Xh5eREYGIi7uztBQUE888wzuLu7S9sqJJfVvlcV2hYKdsd6v5Lro9VqTfo5uCQ5CiEMS+eNvalS0vW4ubnh6OhIdXU1lZWVl/z8t73D48ePU1VVxaZNmwybteH/h0oHDRpEQEAAwcHB9O3bl5kzZ0obuSXXpL6+npSUFAAcHR2xs7Mzc0QSc/Pz88PJyYmcnByKiooQQhi1Y3dJctTpdBw5cgSZTMbIkSON1pCkawoLC2PmzJkXFQIoKysjKyuL3Nxc8vLyOHfuHLt37yYvL8/wOqVSSUREBC4uLoSGhmJra8uf/vQnAgMDzfVWJF1YYWGhochDUFAQ9vb2Zo5IYm7Dhg2jX79+JCYmcuDAAaZNm4avr6/R7n/Z5JiQkICVlRVjx441WkOSrkmr1dLa2grA+fPn+frrr4mJieHAgQNkZmYarmsvzdavXz98fX3x9vZm0aJFhISEmCt0STfy26FUadpH0s6U9VX/cC28EEJaEdZDabVaKisrycvLY+/evSQkJACwbds2tm3bBrQlQysrK0JCQggPD8fPz4+goCBuvfXWLn+0laTzkclkUlKUXKJ9lbspPhvSRjEJOp2Oqqoqzp8/T1paGiUlJaSnp3PixAlSU1MN18lkMgYPHszAgQPx8fGhV69ejBw5kmHDhpkxeolEIjE+KTn2QDqdjvr6eqqrqzlw4AANDQ3ExcWRlJREcnKy4ToLCwscHBxoampCo9EQFRXFhx9+aDj0VyKRSLorKTn2EHq9noqKCrKzszl27Jih5NLGjRsN1yiVSuzs7PD29mbChAn4+vpiYWHBjz/+SGxsLFFRUVJilJiNqc/vk0h+64pzji0tLR0Zi8SIhBBUVlaSmZlJXFwcFRUVZGZmkpqaetE2C5lMRlBQEBMnTsTe3p5+/frh4+PDhAkTgLatGrW1tcTGxlJfX2+utyPp4doPsVYoFNjY2Jg7nJsihKCxsZHm5mYsLS2xtbW94vV6XSsNDRdo0eixsFRjbW2Lxe8PS9JraapvoFHTirWdHVaWlqZ7A51I+3ZDU5zMcVFyFEIQHx9vaGzUqFFGbUxiWlVVVWi1WtatW4dWqyUuLo6MjAzD3xTaNvO7u7szYMAAIiMjcXFxYejQoUycOPGy91SpVAQEBABt9VUTEhKkos+SDpefn09JSQm9e/dm0qRJ5g7npuTn5/Paa6/R0tKCo6MjAwcORKfTGb6Uti2ElGFro6ayOJtvV68iLaeAxkY9ltY2+PcbyvSZ04ns37ZtoST7JFt/2UzcqWzqmpqxd/UkcuJsZk4YiYdd996rPmTIEDZs2EBCQgLl5eVGXQx4UXLU6XTs2rULaHsojhkzxmgNSUyjsrKSjIwMYmJiiI+PR6vV8tNPP120isvJyQlbW1vmzZuHm5sbffr0oW/fvoSGhl5XW7m5uaSnp0vJUdKhtFotFRUVALi4uBAREWHmiG5OcXGx4XCHdjKZDB8fH6Kjo9u2TslkuDra0lBewNqffqVVJgOZHPQ6UK4jOaeMd1e8jG9LOl++8xrvrtxCbbMcZIDQ8/2WgzS//yFL7xyHuhsv8u3Tpw8eHh6cPXuW4uJiwsPDjXbvS4ZVpfH8zq26upqMjAwOHTpEWVkZ2dnZZGdnG7ZbtPPy8mLhwoUolUqGDBmClZUVU6dOvam2lUqldBKGpMP9tui4Xq/v8lvMgoODeffdd6mpqWHHjh0kJSUZTh1Zs2bNpS+Q2xJ1x708e/949v28hi/W7mDX/v0cSrqPwRcOsf6X7dQ223HnQ49w5wRf1rz/Kb/GnuKnTdu5bUQEA727bzUhnU5nyFntHQJjueRJJ+0l6lyqqqqQyWSsXr2a+vp6kpOTDcnwt19kXF1d6d+/P9HR0bi4uBAUFGRIhtLfVCIxLyEEDQ0NNDY20tLSgpOTE5WVlVhbW2NhYYFWq73oerlcjo2NDRERQ5gyZz7ht4xn0nBfZEWJfL12B80aDc2N1WTl5ZJVokPuHcr0WfOYN20IpYknORB7lvjT6RSUVHTr5Phbxn7OSd2ATqimpoaMjAwOHjzI8ePH0Wq17N69m8bGRsM1Li4uyOVylixZgpeXF/7+/vj6+hIWFmbGyCUSSX19PQ0NDeh0OrZt20ZBQQF6vZ7z589TX1+PRqMhLi6OmpoalErlJYlRJpMxevRo/vznP+Pv78+gQYOAVpIPrWflqvW0AkP7hRAV2ptTyRfQALYuTlg7tiVBKzt7rCygqric2gvSIrobJSXHTqCuro5z586xf/9+8vLyyM/Pp6CggDNnzlw0hOTo6Mijjz6KtbU14eHhKBQKxo8fLxWIl0jMoKGhgYaGBgC2bNlCdnY2QgjOnz9PbW0ter2e+Pj4i45ng7bkZ2VlhZubG/b29kyZMoXS0lLWr18PQGhoKP/+97//LymCtrGKfZtX8cZbn3DkdC69Qm9h6dMPE+HnTrxWjwyQyQSGjpNMtM09alulabKbICXHdkJPQ2EuP+/YQlJaHmprawZHjmFS9EQcjXxwRPs/nPXr15OZmUlWVhZZWVmkpaXR1NRkuM7JyYlhw4YxceJEevXqhY+PD7feeiuWlpbSUKlE0oHaj1zbunUr6enpCCHIzMyktrYWgKSkpIuOZWtnbW2Nh4cHKpWK2bNn4+Pjg0KhICgoCGtra+zs7PDw8OCpp54CwMPDg+XLlxsSY1NVKT999QF/++i/ZBY0ETF2Ln/921+YHD0EAKWlGgug/kIzjQ1tW++0LS1oNYCjPWp1z9jSYQpScgTQa8lL2scTz/6NuNQUSsprkSuUePr8yMTJ9/Lnv71KqMfvNxZdn/r6etLT09m3bx+HDx+moaGBpKSki46BZuvL+QAAIABJREFUcnBwICwsjClTpuDj44OPj4+hmLfUO5RITK+yshKNRoNGo2Ht2rWUl5cjhODs2bNotVpSU1MpLS297OIPT09PoO1L7dKlSwEIDAzEzs4OhUJBaGgojo6OCCEMC4xqa2t588032bJlC05OTixfvpz77rsPAH1DBdvXfMgLf/+IotpWhkyaw0t/foYR/X2pL6/AwtWVIB8/+rhCclYSh2NjCHcv4ER8LHVAv35BeLm5dswvrhuSkiPQ2tzIwV++ZvPBGBxdvXnpX28g8hL4xwer2PDLt/SJmkLo4hHXdc/GxkbOnTvH3r17OXPmDKWlpRQVFZGZmWkYinF0dMTJyYn777+fgIAAgoKC8PPzIzAwELVabYq3KpFIaFv13djYaNj6lJmZiVwuJyMjwzBfmJycfNE8fzsPDw/kcjm2trY8/PDDqFQqVCoVAwYMQCaToVarDdtNLrcxvX3U58KFC7z77rt89NFHCCEYPnw4y5YtMxzqfPbUcT7++BOKahtBpiA/NY7333yO95oa0doF8vAzf+H+aVOYuHEjyesOsO7TNzn6nZyS3BzAnhkTxxHiLyXHGyUlRwChR9vclrAs7R3/l73zDoyqzPr/507PpHdIIwkESGihhqUvXcGKLiAgFtRldXVd3XVx91XX176+ovgTG2LBJaJiQaQXCwSQQCAY0iEJIZWE1JnJtOf3R3bugoACZjJJuJ+/CMy990yYud/7nOec72Hs1KsRPzp4lvex2wXNzbZLOl1VVRVLly7l888/p7y8nIaGBvnffH19SUlJYdq0aYwdOxaj0UhiYiIBAQFKqlRBoY1paGigsbERh8PB+vXrOXjwIBqNhqKiIurq6hBCkJubK6dHz8Q16NtgMHD33XcTEBCASqUiMTERjUaDVqtl4MCBqNXqS3ZnEUJw8OBBli1bhtVqZcKECbz88sv/dcsRzZQW5VJyWkX3yEhUgNNmIvfHLJwOK44ANdW19aj9hvDHfz5FcPT7rFm3g+Mna0gcNoNrZ89n7qxp+Gvb4Jd4haKII6D19mPy/IeZ/vk+NhUX8OC8mxDNtaDSMnjcFO5fMOaSztfY2EhmZia5ubl4e3szbNgwrrrqKvr37094eDjh4eFER0d3ehssBYX2RpIk1Opztziam5upqalBCMHOnTvZsWMHOp2OkydPUlVVhSRJFBUVnbWN4SI4OJjIyEh0Oh0LFy4kJiYGIQS9e/fGy8tLFsS23Ouvqanh+eefp6GhgYiICB599NGfzD7VM3TiTXy0fgyqn3rFCYHQeBEZ1eqQ06PvKP74995cd2sZjZYWAoLCiY6OxKhXbu+/BuW3BzjtVk4UZpBT3QAOGydKSlDb6sHppLaylNzqJiL9L37yeExMDEuWLOGaa64hNjaW+Ph4IiIiftFDUUFB4VxUKpW8zWC1WiktLcVut5OWlsYXX3yBTqejqqqKsrIyJEmivLycysrKc84TEBBAVFQUGo2G2bNnM2DAABwOB3Fxcfj6+iJJEj179pQfWt2ZyfH29mby5Mnk5ubyyCOPyF7GMpKG4G49CO7W4yLOJuETGEpSYKhbYr1SUcQRMDWe5oNXnqCowU78mOv4fMVznMzazd//cAcZB/ex/O1VTHz+3os+n8uXdtSoUcqQVgWFy8DhcFBdXY3NZqOyslK2WyssLGTBggVotVpqamooKys751i9Xi8Xx6SkpDBjxgx8fHyIjIwkODgYgKioKPz9/RFCeOT76eXlxV133cX06dOJi4tT7hEdEEUcAZutibzsekCHISCUgX16E6w2E+QFVDZRVpB3yedURFFB4ZcRQlBVVUVLSwvNzc0sX76c6upq7HY7BQUFcuVocXExABaLhZycHKDV/7l79+5IkkRSUhJz5szB29sbf39/uWXC39+f8PBw1Gr1eb+PnvyO+vr6kpSU5LHrK/w8ijgCOp0vQ4bHsHNDCcd3fcnU66qg4SS7iwEvH6IS+ng6RAWFTk9FRQVmsxmn08krr7xCeXk5TqeT/Px8WlpacDgcFBcXn+MYo1arMRqNNDY2EhcXx5IlSwgKCsLLy4sePXqg0Wjw9vY+SwSVB1OFX8s54nglznD09g/hrn8uZ1/ZfaQdKmLrutYBwBq9P1fduJB/PrzQwxF2DIQQbW7uq9D1qKqqoqmpCbVazbJly85yjjGZTAghKCsrO+deo1KpCA8PR6/XExgYyL333ktoaCgqlYojR47w6KOPEhAQwIwZM4iIiPBYSlSh43Dmg5BbjcfVajULFixg6dKl8rBj/ZUwNFPSkDB4Gqs/38jxwuOcbrKiVqsJDulGTM/eRIZc2VWlLtceb29v/PwuvjBJoetz4sQJbDYbNTU1vPzyyzQ2NnLs2DGampqQJImKigosFss5x0mSRHx8PDqdjoceeohu3brJzjE6nQ61Wk1YWBharRZJkggNDcVoNGI2mzl9+jQRERGKMCrQ2Ngof77aWqvOEkfXVHhoze2vWrWKRYsWtekFOyoqtYbo2L5Ex/bB6Wx9AmnrydKdkVOnTpGRkQHAqFGjmD59uocjUvAEZWVlmM1m6urqWL58OSdPnsThcHDs2DGsVit2u52qqqrzennGx8fL8wr/+te/yt6iCQkJQGs/oWsU2oW+c35+fgQEBFBYWMj777/PCy+84L43q9Bp2LlzJ+Xl5cyYMUMeyt5WXHBklRDivI2xXR8JlUp5InVhs9nkJzOj0ejhaBTcTWVlJfX19TQ3N7Ny5UqOHj0KQFFREc3NzQghqK2tPWdfECAuLg61Wk14eDh//etfMRgMGAwGEhISkCQJjUZDUFAQcHkFa5IkYbPZrtD7ksL5cGW1fH1929xi82cLcpSVkwLgtpy+gueoqanh1KlTmM1mUlNTSUtLQ61WU1paSl1dHZIk0dDQcN7BwjExMej1eoKCgnjooYcIDQ2VU6IajUauEnUJYFunP5X7ksJPcTqd7h92rKCg0HVobm6mrKyMpqYm1q9fz4YNG9DpdJSVlXHq1CkkSZIH8P6UyMhIfHx88Pf3Z/HixfTs2ROVSkVcXBxeXl5IkoSPjw8qlUqpEFXocijiqKDQBbBYLHIvYE5ODq+++ipWq5XGxkaKi4txOBy0tLScVwSDgoKIi4vDarVy4403cvXVV2MwGIiJicHX9z8DdL28lDYJhSsKRRwVFDoRruZ4p9NJRUUFzzzzDGazGbPZzLFjx3A6nTgcDsxm8zlpJj8/P3r27InVamXSpEnccsstqNVqQkND6datG5IkyRMmwLMN8goKnkbZc1T4WZQbpGdwOp3k5eVhs9lobm7mscceo7GxEZvNRl5eHg6HA6fTed42CaPRSFJSEk6nk8GDB7N48WI0Gg0BAQFER0fL5t2uNonO8H8shMDhcADKZ1Lhv7izHuIccdRqtcyfP58PP/yQlStXyhOqFa5MGhsb5QnnyhQR95CTk0NLSwtCCJYsWUJNTc1Z4githts/bZPQ6/X0798fgNjYWB555BH0ej3e3t6yX6dKpZLnA0LnFZYePXpw33338Y9//IOsrCzq6uoICAjwdFgKHsThcMizcYOCgtzb5witq8WIiAig1e5J4comPT2dDRs2EBERIQ9wVbg8LBYLeXl5qFQq/vGPf1BaWookSWRnZ8tVoXa7/ZynYEmS8PPzIz4+noCAAJ544gm8vb3R6/UkJCTIBTFnjnLqrCJ4IQwGA1FRUUDrIHGz2ayI4xXOhg0byMrKAmD69OmEhYW16fmVPUeFn8V1o+4s6TdP4rIzM5vNFBYWYrPZKCkpYenSpdTV1dHS0sKxY8fklOiZx7nw8/OT+wL79+/Pn//8Z5xOJ35+fsTGxuJ0OmUxVFC4kjmzfcMdW4CKOCooXAIuf1lJkrBYLBw/fhyz2UxFRQXLly+npKQEu93O8ePHaWlpOUfEXD/7+PjQu3dvVCoVCQkJPPzww6hUKnx9fc9y+vjp8ecb9KugoND2KOKooPATXE+jrgIQq9VKSUkJDQ0N1NTU8M477/Djjz8Crd6iJpMJ+K+Qufb6NBoNRqNRbo7v0aMHDz/8sJwSjY+PV4reFBQ6KOe1j4uMjARabw7KxveVzZlpi662anG9N1f7g81m4+TJk5w6dYqGhgY++ugj0tLSkCRJbqR34RJCrVaLTqfDYDAQHx+PXq8nKiqKP/7xj7JxdmxsrOwdqnB5qFQquSCsqamJ0tJSunfv7uGoFDyJ0+mUtyfcsc1wzjdWo9GwcOFCHnjgAUwmEytXruTPf/5zm19YoeNTW1vLvn37ABg9ejTXXXedhyO6PM4UwZaWFtRqNXV1deTn52MwGNi1axdvvfWWbJ59Pu9OnU6Hl5cXDoeDHj16EBwcTHh4OHfffTc9e/ZEo9EQFRV1ZUyx8QCSJNG3b18iIyPJycnhvffeY/jw4Z4OS8GDbNu2jaKiIiZNmkSfPm0/c/cXH2eVtM+Vi6vHDlr3yNra2Letce0HCiEwm82yNVp2djYajYacnBxeeOEFJEmisbGRkydPnnMOrVaLj48PDoeD7t27ExUVhdlsZvbs2cycOROHw0FkZCT+/v4eeIdXNmfOE1XuSwqNjY1AaxuHwWBo8/P/ojgqZtNXLh11uLErlSKEkCdF2Gw2jhw5gkqlorKykscff1xuki8pKTnnHBqNBn9/f5xOJ8HBwcTHx2M2m5k8eTILFizAbrcTFhZGcHBwe789hQugVEwrnInrs+AO03G4gDiqVCq6detGTU3NeW8sClcGdXV1nDhxAoDAwECPxOASwoaGBvlLkJmZicPhwGKx8Mgjj8jzBIuKis45Xq1WExQUhBACX19fevfujc1mIzk5mfvuuw+n04m/vz/h4eHt/dYULhGj0UhcXBwnT56koaHB0+EoeBjX2DS9Xu+WeojziqNer+f222/n2WefZc2aNSxdurTNL6zQ8Tl8+DDbtm0jMjKSwYMHu/VaLhG02Ww0NjYihKChoYHCwkKEEPztb3+T//7YsWPnHC9JEkajUa4EddmnxcTEsGTJEqDVPNtVbKbQ+YiNjWXRokXs2rWL3NxcysrKZMMShSuLb7/9lszMTACmTp0qG0S0JecVRyHEeee4KVxZuPZ1HA6H3Nbwa3Gt/ux2O/X19QghaGxslE2zs7Ozeeutt2hpaaGxsZGamppzUiZGoxE/Pz8kSSIwMJC4uDhUKhUjR45kwYIFAERHR7dJvAodB1f6XEGhsbFR9hX28fFxyzXOK46SJMmjaux2O+Xl5UrZ9BWI68NnMBgu2VfVJYKuye0uH8Tjx49js9koLCxk5cqV1NXVYTKZZD/RMzEYDHTv3h1JkggICCA+Ph5JkkhOTuaOO+5ACIG/v7/HUr4K7Y/LJ7auro7CwkJl5XiFYjab5QXcmd7Bbcl5xVGn07FgwQKeeOIJmpubWb16NQ899JBbAlDomNTW1rJ//34ARowYccE2jjNXgi6LNLPZTHFxMWazmdLSUlatWkVZWRkWi4Xa2tpzVqEGg4GIiAgkScLf35+ePXsiSRJJSUnccccdqNVqfH19leKYKxy1Wk3fvn0JCQkhNzeXjz76iLFjx3o6LAUP8N1331FSUsLkyZPd0sYBP1Ot6mr8lyTJLWWyCh0b13BcaJ3GoVKpcDgcqFQq6urqOH36NC0tLZw4cYKGhgaqqqr45JNP5EkSp0+fljfMXej1eiIiItBqtXh7e9OzZ0/UajU9e/bktttuw2g04uPjQ1BQkFKVqHBe9Hq9vFLo6K1FCu7D5Url5+fntt7iC4qjJEno9XocDgc1NTVuubhCx8PlG9rc3Mzp06eB1vz+oUOHOHr0KEajkc2bN/PFF1/gdDqpq6s77/50t27d8PPzw26306dPH3x9fYmJiWHevHkEBwfj5eVFUFCQ0q+mcMm4PjPnm2WpcGVw5kAEd3FBcTQYDMyfP5933nmHNWvW8Nhjj7ktCIX2RwiB0+mUp0gUFxfLzjHHjx8nIyODL7/8EoBNmzaxfft2WSzPJCwsjJCQEOx2O7GxsYSHh2MymViwYAEjRozAZrMRFhamZB8U2oSAgAD69+/PyZMnyc3N5dSpU4SEhHg6LPfhdNDUUEPlqRparAKtzkBQaDhB/t5ICE6fqqSqqgan9JOHTCEQGiNRkd3x8+5ark21tbXyjNno6Gi3GXL87MrRVZTjciJQ6Jw4HA65OKagoACVSoXJZOLHH39Eq9VSVFTEq6++ik6nw2w2n5MpaGpqIjAwkIEDB2Kz2YiIiCAmJgaTycSMGTOYMmUKVquV4OBgZSCyglvp0aMHs2fPZvPmzdhstg5pUtFmOG0U/ZjOB+8v59ON2yirtBPYPZqJM27mjlvnkdKvO199sJTHn/5/NKp9UEsg/ccDWXJYsYWk8Obrz3P9mCRPv5M2Zffu3WRnZwOQkpLitoK8C4qjywgAWm+uJpMJo9HoliAU2gaXCLpaIlyFMocOHUKSJE6fPs2LL76IWq3GZrPJT19n4ufnx8CBAykrK+PUqVOEhYUxYsQIrrnmGq6//nqsVit+fn74+fl54B0qXOk4nU45jd/c3ExFRQWhoaEejso9VBce4YV/3MfrXx3E6OdPt27BnD6ZzVsvPMqPeSW8+frT+PsHEBoWjlHt3fq9bj5FaVkFTWYHQaESekPXWjVC6/+7qx7CI2lVnU7HzTffzN/+9jeam5v5/PPPmTdvntsC6SjYzQ0UFR2jtsmGWq0hMKQbUVHd0XWwrTFXscvp06cpLi5GCEFGRoa8QnzuuefkobpVVVXnHO/l5cWIESNwOBz4+PiQlJSE1WolKSmJmTNn8txzz/Huu+8yfvx4Pv744/Z+ewoK50WtVstp1OzsbD777DMGDBjg4ah+maamJnJzc+nVq9dFpwGPFxfy/YGjaHzDmHbr73niwev5bNmT/POVL9h/+DA79x/nj7c/yIirbkWgQq+X+GbNMv7+z/8jVxvBAw8sYvSgnm5+Z+3Pvn37KC0tJTw83K0PRj/rrepKq1qtVo4ePeq2IDoGgsaqEv698g0++iyVw3kN6I3eDEyZwJwFt3Pt1b8lxND+FZSutofa2lqKi4txOBzU1tZy/Phx2Urtq6++QghBRUXFOcerVCoiIyOJjo5GkiS6detGZGQkoaGhLF68GLvdjk6nO6tNoqioiLq6OgBlyoRChyMuLo7o6GhOnDhBWVmZp8P5RWw2GytXruT555/ntttuY9q0aSQnJ/9C9sVJZK8+3Pe3f1Le4sfI385kYHwghyJjMAAOSQJJBSoD3SNaXZ+ayg6weeMOcquszHvkr9xx0wz83NMC6FFclarjx4+nV69ebrvOz4qjVqulX79+ZGVlsW7dOp5++mm3BeJp7OZGNrz7NIuXvI1GbyC6dx/05kq2fvEh+9P3UyOl8pcb3Geh5hLBuro6jh07hs1mk//sdDrJyclh/fr1WK1WTp8+fd4K0e7du8uN8qGhocTGxqJSqRgyZAiTJ0+Wm+Z/qTgmLy+Pzz//XBZWBYWORHBwMEOGDOHEiRMcO3aM2tpagoKCPB3WBbHb7aSlpVFWVsYzzzzDihUrWLRoEVOnTmXw4MEXEEkVkbEDueePAwGwmhvY8fFyVq76AAswbvhwxg/ufcbrnXy1+t+s27SPoP7TueWGqUT5d635qwCVlZXyA1F0dLRbZw3/rDgaDAauvfZasrKy5NFFXRWTqYHvd25BZ/Qnuv8IVvz7TZw/rmfeTfdTUVHON9s2tok4ukSwoaGBgoICTCYTjY2NsnPMsWPH2LhxI01NTdTX18u59TMJDQ2lb9++qFQqgoODiYuLQ5IkBgwYwLRp0wAuSgQvhKtEPjQ0lN69e//CqxUU2peYmBiuvvpqvvzyS6xW63m/Ix0Jg8HAk08+SWBgIBkZGRw8eJBnnnmGd999l9tuu41x48ZhNBoJCgqif//+5xzfUFvG5+8vY+myNzhc1ESv0Tdw3713MDDyv8VvjYV72bzlGyrtcPt1Mxk6qGt+b3/44Qe5GGfAgAFurX34WXHUaDQMHNj65GI2m8nJyaFv375uC8aT6I0+zFz0P8RON+MbmciEXnHk10QSrIcKmxqN7vKKkVxDdRsaGmhubqaoqAiLxUJpaSlbt26luroas9mM2Ww+p/IuJCSElJQUtFrtWR6iffr0Ydq0aajV6l8lgufjzOkWAQEBikepQofE9ZkvLS3lwIEDzJw508MRXRiHw0Hv3r155ZVXeP/996mpqaGgoIDy8nKef/55XnvtNfR6PcOHD2fVqlVnrYLrKkp486X/5YX/twKTJozptyziLw/czcQRZ4vfvl27+eFABhgTGDaoP+FdtHOqpKSEiooK9Hq9220jf1Ecx48fD7RWCG3cuLHriqNXANNvupPpgHDYKEjfyL+e+1+yTNCtVwKzZk67pPNlZmayfft2jh07xrfffktpaSlWqxWTyXTe8vPhw4cTFBSEv78/cXFxaDQa4uPjmTx5MgaDAR8fH7y8vNzuHFNfX09+fj4Affv2ZcqUKW69noLCpSJJErGxsfj7+3Ps2DF27tzpcXF0FciZzWbS0tLkvzebzWRmZqJSqbBarWzatEneM4PW6lvX+K3jx49TX18vi6O1voqPX3+Bp15cQZOAnkP6M3XSb9BZyti8vYqeffrSKyoEsJFbVMTxWug+aii9ErpeEY6L/Px8mpubmTx5MgkJCW691i8OO9ZoNISFhVFTU8OhQ4fcGkxHwNZiYu+mD3np/5bxxfdZ+Ef2455H/sK8SYmXdJ4vv/zyvMYJgwYNokePHrS0tJCYmEhwcDBms5mbbrqJ6OhojEZju4jghaivr6egoABA2W9U6LCEhYXRv39/du/ejdlsdvv1XG1SKpWKQ4cOUVFRIbtJ5eXlyQYZDQ0NrFq1Sj7OarWe0ycuSRIaTeut1yWqXl5eXHXVVcTFxf3nVYLMPRtZvvQ1mv7zLF16NI3/ffggLaZmHEH9+cfTL/CP2yeDuYTjRcewAHFRYYQGu28fzpM0NzfLlfeu0XTu5BfF0WAwMH36dD744AP27Nnj1mA8jc1iYtPqN3nsqcc4VGxj0Lib+NP993LbrAmXfK4RI0bwu9/9jsbGRhISEoiMjMRkMjF16lQSExOx2WwEBAR0OH/IoqIiNm3aRGBgIImJl/ZAoKDQXsTGxnL11Veze/duiouLaWho+NX7T656AJvNRlpaGvX19bKn8JEjR7BYLGg0GrZu3SoXykFrJfmFzAj8/Py44YYb5Nf6+PgwcOBAnE4nhYWFrFixAoD+/fvz8MMPn3GkBbtaQ+zIyfQweiPRusp0Op0Ipx2nTyyxEf9Jv1oEvfoMYPwEB1MnjqJ7oNev+j10VA4dOkROTg4Affr0cfuA8l8UR71eT0pKCh988AFWq5Xq6uqu2XTrsJL9/Voe+svfya81YwyJJHnoYMKNLXz22ZcERcYzIeXi+6mmTZvGmDFjaGpqavN9QXdy4sQJoLXPVTF9UOioaLVaudWstLSUH3/8kVGjRv3sMa6+X41GQ05OjmySr9FoKCoqkleDVquV9evXc+rUKVQqFXa7naampnNGqrn4zW9+I49W0+v1JCcny/8WEBDArFmz5GN1Oh1+fn40NDTIQ7i7devGww8/fPZYQKEnefQ1vD1oKpLqPFkkSY3xP25UwjeGeYuXcOMddgxGb7y9u16VKkBhYSGlpaVA65aPu924flEcdTodkyZNAlpTBhs2bGDhwoVuDcoTNNQU8+o//kZ+bWuKpqWugs/ee4GPl5uxCCO/vekeJvz7uUs6p7e3d6eyU2toaCA3NxdotekaPXq0hyNSUDg/arWa6OhotFoteXl5fPfdd4waNQqbzYYkSfJqLzc3F71eT3l5OSUlJdhsNnQ6HRkZGWRmZmK1WlGpVDQ2Np41SNm1rSGEQK/XM2PGDLy9vXE4HCQkJBASEoIkSTidTiZOnEhUVJScLv2lJn+r1cpHH33E8uXL8fLyYv78+fzud787+0WSCoPRD8NFPJ9KGh2+/jp8L/m32LnIy8ujurqa+Ph4YmNj3X69XxRHaH36iYqK4uTJk2zcuLELiqNA4MCnRwpzE4yoAOFKYSCwCR39h/dDAF15kFJVVRV79+4FWtPC7pqTpqBwuTidThwOB1qtlpCQEIKDg6moqGDPnj0sW7aM7OxsNBoNDoeDjIwMfvzxR3Q6HSaT6ZwpHmcK4KBBg+jbty8ajQaVSsWAAQPw9vbG6XSi1+uZNm0aPj4+OJ3OXz1NprS0lFdeeQWApKSkn6RTFc5HfX09x44dA1rrNjqMOBoMBiZMmMCHH35IZmamu2PyABK+QXH8Y/lbSOf50AsktDp9lxZGaP3S7ty5Ez8/v3b58Cko/BSXH7Drz67PpE6no7m5mezsbHnvr7S0VHZy2rx5M1u2bDmvADY1NaHVahk3bhy9evWipaWFmJgYoqKi0Gg0WK1WBg8eTO/evVGr1ahUKnx9fVGr2z492dzczMsvv8zRo0cJCAhg0aJFbt876wocPXqUvLw8ABISEoiIiHD7NS9KHL28vBg7diwffvghjY2NZGRkMHiw+9xiPIFKoyc45Mq1SmtpaeHw4cMAREVFMXLkSA9HpNBVca3+oLVac8OGDbLI1dXVceTIEdRqNUIIysrK2LVrFxqNBrvdfl4zEkmSZMEbN26cXMUYFxdHVFQUdrsdtVrNkCFDiIuLw2az4ePj45FiONeeplarZc6cOV0wC+ce8vPzKSwsJCAggFGjRrWLreVFiaNOp2PcuHEAVFdXs2LFCl577TW3BqbQvjQ2Nsr9jcp+o8KvxWVvqFKp+Oqrr+QJMC4/4KamJqBVHL/99luampoQQmCxWM6xRlSpVDidTkJCQrj++uvx9fXFbrcTGhqKxWLh9ddfx2KxMH36dP71r3/Jc0q9vLw6XDW4t7c3S5YsYezYsYwfPx4vr65ZWdrW5OZnFIs2AAAgAElEQVTmUldXx7hx485od3EvFyWOAEFBQYwcOZK9e/eyf/9+d8ak4AHKyspYv349Go2my2UFFNqeM9OfjY2NrFu3jubmZnlW6KFDh3A4HEiSRFpaGrW1tfKxrqb3M1GpVEiSRFRUFNdddx12ux1JkggODqZfv37YbDb8/f0ZNmwYXl5eOJ1OfHx8KCoqIisriy1btiCE6PCj1CRJokePHvTo0cPToXQa8vPzOXDgAACJiYnt5tp10eIYGBjI3Xffzd69e+UJEcp/cNfA6XSSkZFBcXExYWFhyn6jAtC6qnM6neh0OrZv3052drbcCnH06FF5NWgymdi7dy8Wi0VOcf509efav5Mkiblz58pjp9RqNcnJyRiNRlkMhw0bJgurTqf72dVVdHQ0o0ePZsuWLaSlpbFjxw4mTpzopt+IgicoKiqiuLgYgJ49e7rdNs7FRYujVqtl+PDhQGvl0HfffceCBQvcFphC+9HY2Cib+bqaqxW6Pmeu/iwWC9u3byc3NxedTofVaiUnJ4fa2lp0Oh0//vgjZWVlsitMc3OzvG/owrVPGBgYyNy5c9Hr9QghMBqNDBkyBEmSkCSJoUOHyj2KkiT9qtWewWCgX79+6HQ6CgoKyMjIUMSxi5GXl0dOTk67D0K4aHGE1paOhIQE8vPz+fzzzxVx7CKcOHFCtrwaPny4YhvXhXA6nVitVnQ6HUePHmXLli3Y7Xa52rOwsBCn04ndbicnJ4fKykq5gtNqtZ7l/KJWq5EkCbvdzjXXXEOfPn3knsJBgwYRGBgo7/UNHjxYtkjTaDRuNZQIDg4mODiY8vJyjh8/7rbrKLQ/VVVV7Nq1C2idwtGzZ/v5xl6SOPr4+DBu3Djy8/PlZa5C56e+vp6ysjL8/PwUYexkuKofJUnCZrNx+PBhtm3bhl6vx263U1JSQmFhIXq9nsrKSvLy8nA4HLIR9pnpT5VKhUqloqWlBW9vb2bNmkV8fDwWi4WkpCTZBcbhcNC3b1+Cg4ORJAkhBL6+vr+q9+/XkJiYyFVXXcXKlSspLS3l1KlTctpWoXNTVFQk9zempKScd6SXu7jklePs2bN55513qKqqYuvWrcrUhk6OyWRi9+7dQKvR+NSpUz0ckcJPsdvt8h5cY2Mj7777rjzirLKykqNHj6JWq3E6nVRWVnLs2DH5Z4vFcs7qT6VSYbPZGD58OJMnT0atVqPRaOjbty/h4eHY7XZ0Oh09e/YkICAAh8OB0WiUV4IdjfDwcMaNG8fKlSvZu3cvmzdvZt68eZ4OS6ENyM3NlV27wsLC2vXal/xp79OnD4mJiWRnZ/Pqq68q4tjJOX78OC+88AKSJDF69GiGDh3q6ZCuSM5sXi8qKiI1NVVOYe7bt09eHVqtVrKysrDb7QghsNls8r4h/Hfig0vgJk2axKRJkzCZTHTv3p3ExETUajV2u53w8HCio6ORJAmVSoVer3dL43t70K1bN8LCwqisrGTPnj3ccsstHptso9B2FBUVUV9fz+DBg+Wal/biksXRx8eH3/zmN2RnZ5OXl0deXp4yLb6TYrfbOXjwIDU1NQQFBZGUlOTpkLosNptNLmDRaDS8/vrr8viduro6MjIy5BWeq+fUlbL8qeuLWq2WV4bh4eHccccd6PV6uRWib9++2O12VCoVYWFhdO/eXRbL9mie9gRDhw7luuuu4+2336aiooKamholtdrJOXLkCDt37gRaBzm0d+/1JYtjUFAQc+fOZeXKldTV1bF//35FHDspJpNJHgETHx/PHXfc4eGIOjctLS04nU5UKhWVlZWsXr2a06dPo9Vq+eGHH2QXGEmSyM/Pl0Xvp6lPQG5eV6lUJCcnM2/ePGw2GwaDgREjRqDX63E6nRgMBuLi4uQ+Qa1Wi1arbd833gEICQlh5MiRvP3223z77bds3LhRKRjs5Hz//ffs3LmTyMhIUlJS2v36l7WJ0KtXL/r160dWVhaffPKJkt/vpJw8eZLXXnsNlUrF0KFDf3GawJWOzWaTJzcYDAY+/fRT0tPT5daGzMxMGhoaUKvVWCwWTpw4IadDW1pazhJAjUYjtz4kJCRwxx13yAUtQUFBDB06VH69j48PUVFRchuF4qpyflyp1aqqKvbv38+8efM8ViSk8OsoLy+Xq1R79epFfHx8u8dwWeLo6+tLSkoKWVlZ5Ofnk5+fT0JCQlvHpuBG7HY7Bw4coL6+nsDAQGX1/x/sdjstLS0YDAZ27NjBxo0bgdY+35ycHI4dOybv0ZWXl8tuL2emTV24Up1Wq5X777+fmJgYoLW9YtSoUXKvn5eX11lGyhqNpsPZnnUGRo0axc0338xrr71GRUUFtbW1Smq1k1JcXCwbjQ8fPpyBAwe2ewyXJY7BwcHMmzePlStXUlhYyPLly1m6dGlbx6bgRsxms9z436tXL37/+997OKL2wVXB6Vrt7dixg2+++QaDwUBLSwu5ubmcOHECrVbL6dOnqampkY91VY260Gq18nikiIgI5s2bR0REBHa7HT8/P4YMGYKXl5f872cOvDYYDErBSBsTEBDAmDFjeOutt9iyZQtfffUVt99+u6fDUrgMMjMzOXDgABERER4bgnDZtdl9+/ZlxowZfP311110jFXX5sSJEyxduhSDwcBvf/tbtzZptzdOp5Pm5mY0Gg0nT55k2bJlOJ1O1Go1p06dkr2BnU4nDQ0N1NXVoVKpcDgcZ1V+Quven2se4PXXXy+7r1itVgYNGiT7PGo0GkJCQtDpdAghUKlUaLVaRQDbmWHDhjFt2jTWr19PWloac+bMUdLQnYzy8nK+//57AKZMmeKx9rLLFsewsDBmzZrF119/zfHjx5Wex06ExWJh69atmM1mEhISOmXhQnNzM87/DKTOyMhg9erVaDQanE4npaWlHDlyRHZ6cVWFArIbjAu1Wi3bnPn7+zNz5kxGjx6NxWLBYDCQlJRERESEbHzt4+MDtDbf63S6Ttv60FWJiYkhKSmJ9evXs2vXLnbt2qXclzoZu3fvZt26dUDr2DHX9kN7c9niqNFoSExMBFqH5K5bt075EHYSTp06xbvvvgu0Gsq3p+vExdLU1ITT6ZR//uc//ynP8nM6nWzdulVOcZrNZurq6uTWhzPFT6VS4eXlhUqlwm63k5SUxOLFi4HWNGlkZCRDhgyRX+vt7Y3RaJSLX1yT4RU6BzqdjoEDB2IwGCgoKKCgoEC5L3UySkpKaGhoIDk52aM+ub/K8iI2NpbZs2ezZs0adu/eTXZ2tiyYCh0Tu93Onj17OHz4ML6+vlx77bUei6WxsVFufSgoKODdd9/FZDKhVqvZvn07ZrNZfu2pU6fOqvZ0VY3Cf82rnU4nWq2WlJQU5syZg8Viwd/fn7FjxwL/Xe2dWZWrUqk6rPOLwuWRkpLC5MmTWb9+PXv37mX27NkEBQV5OiyFi+DQoUN89tlnAAwaNKjdG//P5FfdFbp168Y999zDmjVryMrKYsWKFfzf//1fW8Wm4Aaqq6t55plngNZCnCVLlrjtWiaTSfbu9PLyYtmyZWRlZaFWq6mtreXgwYOYzWbZCaaxsVEWwJ/u/fn5+cn7d1qtlieffFIuaomIiGDIkCHySlOv1+Pt7X3W6k/hyqFXr15MmjSJ9evX8+mnn/Lb3/6W2267zdNhKVwEu3fvZvfu3URFRXH11VefVcTW3vzqu0bfvn2ZO3cuqamp7Ny5kyNHjjBgwIC2iE3BDTQ0NHDo0CGMRiPTpk371SlDk8mExWJBo9FQVlbGmjVryMvLw2g08sMPP3DixAm5Qb2pqUkWPdd+4Zn4+fmhUqkQQtCvXz/uuOMOWdimTp16VnuDr6+vLJYqlUrZ+1M4i5kzZ7J161Y2bNjAN998wzXXXENwcLCnw1L4GbKysli7di0AEyZM4JprrvFoPL9aHLt3787ChQtJTU3l1KlTHD16VBHHDorJZGLNmjVAa0HVwoULf/EYq9VKY2Mj0Np+sGXLFj7++GN0Oh1NTU0cOXKEioqKs4yuXXuBTqfzrFSoj4+PXBVrsVhYsmQJsbGxOJ1OQkNDGTZsmOzuotFoznpqVFZ/CpdCTEyM3Hu9du1apkyZopiVdHDy8/PZs2cP0Pr/5+kq4za548TExJCcnMyhQ4dYs2YNs2fPbovTKrQxJ0+e5PHHH0er1TJp0iT69u0re3c2NTWhVqtpbGxk48aNbNu2DaPRSElJCfv375dn+bnGHEmSdI74SZKEj48Per0em81Gjx49WLBgATExMZjNZsaMGUN4eDhCCIQQGAyGsybEK4UvCm2FTqdj1KhRpKamUlVVRXZ2tjzHUqHjUVZWxueff47FYmHEiBHceOONng6pbcQxISGBu+++mz/84Q8cPHiQtWvXMmvWrLY4dbtjaqxh29cf8uXW72i2+dFn7DTuuXkWEQGd169SCEFpaSmpqanyz3v37mXBggWYzWYKCgrIzs5Go9HI1Z6u1Z9LyFx4eXkREhKCw+EgLCyMm2++mUGDBsnFL4MGDSIkJEQutNFoNGelP5W+P4X24tprr+Xbb79l+fLlrF27lsmTJzNhwgRPh6VwHtLT0/n4448BGDduXIeYDtQm4qjRaBg7diyDBw8mIyOD1NTUTimO9dVFPLpoKsvXFSBJAiFAWv0hH7+zkmdee5cbhnbcQcAWi4X6+nqgNRX6l7/8RS5IsVgsbNy4URY8u93O0aNHZYcc196fa0Xo7e2Nj48PFouF0aNHs2jRIqxWK3a7nd69e5OcnCzPF3StKKF19aeIn0JHwWAwMHbsWD799FNycnLYuXMno0ePviKN2Ts6ZWVlWCwWkpOTueGGGzwdDtBG4git07jvvPNO7rvvPtLT0/n000+56aab2ur0bkdYm8n46k2Wr8vH4BfK9b//C1fFS7z+3FPs3fcNrz77ItM+XYonfWSqqqrkKe7p6el8+OGHsuAVFxeTkZEhv/an1Z4/Nb0OCwvD6XTi5eXFlClTmDFjBhaLBb1eT2JiIgkJCdjtdlkAz0SpAFXoLFx//fVs3bqVlStXUlJSQl1dHaGhoZ4OS+EMDh8+LPdd9+nTh2HDhnk4olba7A6nVqvlDfDi4mI+/vjjTiWOdpuVkvxWo9vukcN47vm/0MNUjbYum71/W0lx4QF2F8OUHm13zZ/u11ksFurq6nA4HHh5efH4449TWloqV2Nu2LDhrN6/n445OhOj0UhgYKBspeZaVfbo0YOVK1cyceLEs6pFz1zxndkyoaDQmTEYDCQmJqLValm1ahUTJ07slI5QXZl9+/bxww8/EBMTw4033thhTPfb9PF/0qRJLFu2jPvvv58ffviBTz75hJtvvrktL+E2VGo1/qGtDv61tfl8tHY3N8S3sGF9q8dffWMTeYUnmNIj+pLOe2bRikqlora2lubmZrRaLXl5eaSmplJeXo5Wq6WiokLu/TsfZ6YwDQYDgYGB8s8pKSnccsstQKu4xcXFyXuBzz77LE8++STdu3dn8+bN9OnTR45HQaGrc8MNN7Bt2zY2b97M008/TY8ePRg3bpynw1KgddX49ttvAzBy5Eiuv/56D0f0X9pUHNVqtbyZeuDAAT7//PNOI45qgy/DrrqF4S+uZH95IX+7aQx/V6vR/aedQDidOFqs5z1WCCGLYGNjo2xkbTQaSU1NZePGjej1enQ6HXv27KG0tPS853GlMLVaLU6nk27dusnpS6vVyjPPPENQUBBOp5Po6GgGDx78iwJXUVHBk08+iVarZcqUKbIwKihcKfTs2ZNJkybxzTffkJubyzfffENKSgp6vd7ToV3RlJeXs3TpUtLT04mJiWHWrFkdZtUIbSyOAAMGDGDBggUcOHCAtLQ0Pv74Y373u9+19WXcgERE31Gs2vQJTz/xBDsOWhkzfipDetp45PHlaHU6vAPPPwy4qKiIt956i6ysLLny80JoNBrZ6Fqv1xMYGIhWq8Vms5GUlMTcuXMJCgqipaWFadOmyUbXl0NLSwvvvPMO0DpA9+9///tln0tBoTNz8803891337F+/XpWr17NxIkTGTNmjKfDuqLJzMyUK+hHjBjRoVaN4AZxVKlUjB8/nmHDhpGens7LL79Mnz59GDRoUFtfqo1xUlNxnB0bjxKT8FuevX8xN/VT8eyf5gMQGBDEoD7nH5y6bds2nnvuOaD1/ev1elQqFU6nk8DAQNn302QysWjRIsaMGYPFYiE0NJQBAwbg7e3tlndUWlrKU089hVarZdq0acpAY4UrltjYWObOncuBAwfk1eOwYcM8ak92JVNRUUFqaipWq5WePXuyYMGCDrVqBEC4AYfDIV566SUBCEmSxGOPPeaOy7QxDnEye6vopUIgqURYjzgxcfRw4QNCMoaK+X9ddsEjMzIyxHXXXSdiYmLE2LFjxUsvvSS2bNkivvjiC3Hs2LF2fA//pb6+XvTt21cAIiwsTOTl5XkkDgWFjoLT6RR33nmnAERCQoLYtWuXp0O6YtmyZYvQarUCEPfee6+nwzkvbhFHIYQ4cuSIGDdunADEqFGjxKFDh9x1qTbD0dIodn7wpOgWFiR8fY3C6O0tgiPjxdw/PC5OWD0d3cVjt9tFamqqAIRWqxULFy70dEgKCh2Cf//73yIiIkIA4n//93+FyWTydEhXHOXl5eLWW28VgBgyZIjIzMz0dEjnxW3iKIQQa9asEYAAxBNPPOHOS7UdDpuoL8sV23d8LTZu3S4OFBR5OqJLpqGhQSQmJgpAxMbGivz8fE+HpKDQYVi4cKEARM+ePcWOHTs8Hc4Vx9atW4VGoxGAWLx4safDuSBureUfM2YM8+e37tm5Zqt1eFQa/Lr3ZuJvr2b65IkM6dmGjY3tgMPhYNWqVWRnZ2MwGLj//vvp1auXp8NSUOgwTJs2jZiYGAoLC1m9ejWVlZWeDumK4eTJk7zxxhvY7XaSk5P5wx/+4OmQLohbxTEiIoJrr70WnU5Heno6b7/99llDahXanoKCAu69914kSaJPnz48+OCDng5JQaFDMXfuXH7/+9/j5eXFihUr2L59u6dDuiKw2Wxs2rSJtWvXotVqGT9+PP379/d0WBdE/cQTTzzhzgv069cPg8HA1q1bycjIQK/XKw24bqKpqYmJEydSU1NDUFAQ27dvJzAw0NNhKSh0OCIjI0lPT6e4uJjMzExGjhxJZGTH9U7uCnz77bdy3/vMmTN5//33PRzRz9MuFinTp0+X3fC//PLLzpFe7WQIIVi5ciW5ubmo1WquvfZa4uPjPR2WgkKHJD4+nptuuong4GAKCgr49NNPOX36tKfD6rJUV1fz3nvvIYQgNjaWu+++29Mh/TLttbmZmpoqfHx8BCDuuusu0dzc3F6XviLIysqSW2eSk5NFQUGBp0NSUOjwzJkzRy4aXL16tXA6nZ4Oqctht9vF2rVrhUajEWq1Wtx1112eDumicHta1YUrt7xjxw4OHjyIn5+f4lDRRphMJjmdGhAQwPbt2+nZs6enw1JQ6PA4HA4OHjzI6dOnOXToEGPHjqV79+6eDqtLkZmZyR//+EcqKytJSUnhhRdeICTk/IYqHYl2dZ6eOXMm48ePB2Dt2rXs3LmzPS/fJTGbzSxfvpy8vDxUKhWLFy9W0qkKChfJ7NmzeeihhwgJCaGwsJDU1FQlvdqGVFdX8/jjj5OVlUW3bt148MEHO4+/c3svVT/88EMREBAgADFhwoQO2wDaWVi1apVQqVQCECNGjPB0OAoKnZK77rpLqNVqAYh///vfwm63ezqkTo/FYhFvvPGGbEYyb948YbPZPB3WRdNuaVUXAwcORKvV8s0331BYWIiPjw/Dhw9XPA4vg4MHD/Lggw9SXV1NTEwMX3/9NQEBAZ4OS0Gh0zFw4EDS0tI4efIk6enpjBo1iqioKE+H1WkRQrBnzx5mzZoFtBqLv/zyy51q0HS7iyNAXFwclZWVHD58mLS0NCIiIkhJSWnvMDo1FouF6dOnk52dja+vL08//TSTJk3ydFgKCp2SgIAAhBBkZGRw4sQJWlpaGD58OP7+55/Eo3BhhBBkZ2fz5JNPkpeXR/fu3XnllVcYMWKEp0O7JDwijr6+vsTHx5OVlUVJSQk1NTXExcURGxt71kR6hfNjMpl46aWXWLt2LU6nkyVLlvDnP/9Z+d0pKPwKhg4dSkNDAwcOHCA9PR1oHcCrZLUujfr6ehYvXsz69evx8vLizjvvZPHixZ4O69LxZE73vffeE6GhoQIQw4cPF9u2bRMOh8OTIXV4TCaTeOqpp2RH+zFjxij7IwoKbURJSYmYO3eu0Ol0cntHZ9on8zQtLS3i1VdfFYDw8vISDzzwgKdDumw8Ko5CCPHGG2+I8PBwAYihQ4eKAwcOeDqkDs37778vDAaDAMS4ceM8NhJLQaGrUlJSIpKTkwUgYmJixNq1a4XV2onG8niIlpYW8frrrwuVSiUkSRITJ070dEi/Co+kVc9k2LBh2Gw29u7dS3FxMVqtlpSUFIxGoyfD6pDs3r2bJUuWUF5eTkxMDJ999pnStqGg0Mb4+/uj1+s5cOAAJ06cYO/evcTFxdGrVy/UarWnw+uQOBwO1q1bx2233QZAcnIyTz75ZOe+P3lanYUQorKyUsyfP192qvjTn/4kqqurPR1Wh+L777+Xhxf7+PiI999/X0mnKii4kffee09ER0cLQMTHxytZmgvgdDrF4cOHRe/evQUgkpOTxbZt2zwd1q/G4ytHAG9vbxISEjhx4gQFBQXs2bMHu93O0KFDlRUk8N1333HPPfeQk5ODt7c3jz/+OHfddRcajcbToSkodFmSk5Opra3lwIEDVFVVYTKZSElJwdvb29OhdRiEEGRlZfHwww/zww8/4Ovry4svvsjMmTM9Hdqvx9PqfCaZmZli5syZcjOusoIU4ptvvhFJSUkCEN7e3uJf//qXaGlp8XRYCgpXBKWlpWLBggVCr9cLQCxatEhUVlZ6OqwOgdPpFEeOHBFTp04VgNDr9eKRRx4RFovF06G1CR1KHIUQ4siRI2cJ5AMPPCBOnTrl6bA8wo4dO84SxhdffFERRgWFdqasrEwsXLhQFsg777xTVFVVeTosj+ISxilTpghA6HQ6sWTJki5l3N7hxFEIIX788UcxY8YMWSDnzp0rfvjhhyumpLqhoUFs2rRJ9OvXTwDCaDSKl156qcs8kSkodDbKysrErbfeKrd43H777Ve0QGZmZorJkyfL1nCPPvpol2vD65DiKMR/BVKj0QhADBkyROzcubPLF6FYLBbx6KOPyoUARqNRLF26VJjNZk+HpqBwRVNeXi5uu+22swRyx44dXU4UfonMzEwxadIkAQiNRiP+53/+p0velzusOArRmmJdvHix8PPzkwVy5cqVXXYWpEsYfX19ZSPx119/XZhMJk+HpqCgIFpXkLfddptswtGvXz+Rmpp6xQjkSy+9JCZMmCAAoVarxWOPPdZlM3odWhyFEKKqqkosW7ZMNgro1q2bePjhh8Xp06c9HVqbsnHjRrFo0SLh7+8vAHHNNdeI3bt3d9kPnoJCZ6W8vFzce++9IjAwUAAiKipKrF69ussL5LPPPisbkKhUKvHEE090aXOEDi+OLt58800xfPhw+YntgQceEAcPHuz04tHU1CTWrVsnO3L4+PiIWbNmiezsbE+HpqCgcAFqamrEmjVrZPvL6Oho8cADD4i6ujpPh9bmHDlyRPz+97+XC5JcGbyuLIxCdCJxdDgcIisrS0yZMkWo1WqhVqvF4MGDxTvvvNNpC1UOHTokFi9eLKKiomQvwpdfflmUl5d3qaovBYWuytq1a0VISIhsYHLLLbeIrVu3ejqsNiMzM1NMmDBBnhk7ePBgkZaW5umw2oUOYQJwMUiSRGhoKIMHDyYhIYF9+/Zx/Phx9u3bR3V1NaGhoYSFhaFSqTwd6i/S3NzMxo0befLJJ/nyyy85ffo0I0aM4PHHH2f+/PkEBQUpEzYUFDoBiYmJ8ozazMxMMjMzOXjwIGq1mt69e6PX6z0d4mWRk5PDG2+8wdKlS0lLS8PpdPLEE0/w4IMPMnLkSE+H1z54Wp0vB4fDIbZt2ybGjh0rryKHDBkiHn74YXHgwIEOm/tvbm4Wn332mbjlllvkalQfHx8xZ84ckZaW1ulTxAoKVyplZWXizjvvFJIkCUCEhoaK3/3ud51yFblu3ToxYcIEOY0KiKeffvqKq5iXhBDCs/J8+WRlZfHtt9+yZMkSGhoa0Gg09O/fn4kTJ7JgwQIGDRrUIVZgJpOJzZs38/HHH7Nr1y7KyspwOp0MHz6c++67j6lTp3aaVa+CgsL5qaioYMuWLaxZs4YNGzYgSRJ9+/bl/vvvZ/78+fj4+Hg6xJ8lJyeH1atXk5qayrFjx3A6nQwZMoRHHnmEa6+99oqba9mpxRFa3eC/++47PvroI95//31aWlrQarUkJSUxceJEbr31VpKTkz0Sm9lsZvPmzaSmppKWliaL4rBhw7j99tsZP348vXr16rSpFwUFhXMpKChg+fLlrFy5kvr6ekJCQhg8eDA33nhjhxTJ3NxcVq9ezebNmzl06BAtLS0APPXUU1x99dUMGjToinxw7/Ti6KK6upovvviCFStWkJ6ejtPpRKvVkpiYSGRkJLfccgvz589vl1hyc3N58803SU9Pp7i4mJMnT+JwOPD29uaaa67hvvvuY8SIEWi12ks6b11dHYcOHWLMmDGK6biCQgfm9OnTpKWlsXz5cnkVGRwcTHJyMrNmzWLBggUeNzDPz89n1apVbN68mcOHD8uiePPNNzN//nymTp3aqVeLpaWlFBQUYLFY6N+/P1FRUZd0fJcRRwC73U5+fj4VFRV89NFHvPPOOzgcDgAiIiJITExEo9Ewb948kpOTGTBgQJtc12w2c/jwYT755BMyMjKoq6sjNzcXk8kEwKBBg1i8eDGDBg2iR48ehIeHX9aTWDKcdf8AAAhESURBVEJCAgUFBSxdupQ//elPbRK7goKCexBCUFRURHp6Ou+9954skkFBQSQnJ3P11VczcOBAJk+e3K5xbd26lU2bNvH9999z5MgRLBYLALNmzeL2228nOTmZ7t27d9rVYnp6Oo8++ig7d+7EbrfLfz9//nxef/31i165dylxPJPq6mpyc3P54IMPOHDgAAcPHgRaq17Dw8MJDg4mODgYg8HALbfcgt1ux8/Pj5tvvvlnz3vixAm+/vprjEYjeXl57NixA4BTp05RVlZGc3MzAL6+vgwZMoQ5c+YwadIkYmJifnX61LV/OnHiRG6//XbmzJmjrCAVFDo4QgiKi4s5cOAAK1asYNOmTahUKvz8/AgODmbkyJFMnz6diIgIJk6c6JYYtm3bxvHjx9m2bRv79u2jvLwcq9UKwI033sidd95JcnIy3bp167SiCK3ZtfDwcPm9/ZTJkyezdevWizpXlxVHF1VVVdTV1VFVVcV7773HwYMHycjIkP9dpVIREhICgFarJTY2lgv9SiRJoqmpidLSUjQaDWazmYaGBvnfvb29GTJkCHPnzmX06NH4+fkRHh6Ol5dXm7yXwMBA6urqkCQJIQQbN25k+vTpbXJuBQUF9+J0OiktLSU9PZ233nqLzZs3A6DRaOQH9f79+zNu3DhCQkLo1asX48aNu6xrfffdd+Tl5ZGbm8vBgwcpLCykqamJhoYGbDYbANdffz333HMPgwYNuuxsVkfDbrfTo0cPysrKkCSJ5557jt69e/P000+Tnp4OcNH3zS6/7AgLCyMsLIzevXvTt29f6uvrqays5N1330UIwf79+8nMzJRff/LkyYs+t5eXF+PHj6d3794kJSUxZcoUfHx8CAsLazNBPJPY2FgOHToki3dFRUWbX0NBQcE9qFQqYmJiiIqKYsSIERQUFLBt2zb279/Pli1bgNZ9sl27dqHT6eR7icPhoH///owfP/68KyJXRsmVJtVqtVRVVdHc3ExjY6O8lwgwbdo0rr/+egYMGEB8fDxhYWGo1er2+QW0AxqNhrVr1/Kb3/wGIQTV1dX89a9/pX///iQkJADw5ZdfXpQ4dvmV4/kQQlBbW4sQgoaGBurr61GpVNTX1/PBBx9csFDGbrcTHx/Pddddh9VqRaPR4O/vj9FoxGAwuH2D/YYbbuCLL76Qf965cycTJkxw6zUVFBTcgxCCpqYmGhsbyc/PZ9u2bezZs4ft27ef81qdToevr+8Fs1pCCEwm01lCCNC7d2+GDh3K2LFjGTx4MDExMYSEhKDT6dzynjoKiYmJ5OTkEBAQQHl5OYb/397dgyTXhnEA/ydB9qGUkxRCgYODgQfrqajAoKAlEhrSIcghWoIQhD4IQiJcg6Yot0CHGoIW6UQNBUFDBkINDhINB5KKqGiwegdfbzz29fL2gMf6/6ZzsiM3Bec693Wu+7r1elgsFlxeXsLlcmFvb+/L7/jxM8f35CrHAIiUKpBNe9jt9g/XRr6+voonumKwWq2q82ItUSGi7ysrK4PBYIDBYIDZbIbT6cTd3R1ubm6QTqexu7uLdDoNnU6H09NTHBwcfPp9nZ2d+PPnDx4eHtDc3IzW1laYzWZUV1fDaDT++ICYb3x8HH6/H7e3t5BlGe3t7Uin0wDU9/zP/Mrg+BGdTgeTyVTsYXyora1NHNfV1aG2traIoyGiv0Wn06GmpgY1NTWor6/Hy8sLnE6nqLZ8fHwUGa6PGI1GVFVV4eXlBZWVlSW9DOO7PB4P/H4/ACAWi+Hw8FBU5TqdTjw9PX359/mVadVSlUql0NTUBACwWCy4uLgo8oiIiLQpt/Qtl2GLx+PiM71ej97eXoRCIdjt9nevL/3ypF/EbDaL49ySESIiequlpQUAkEgkMDg4qPrs6ekJ29vbkCRJVceRj2nVEpJMJsXx9fU1FEVRBUwiIsrKdcTJZDKYm5tDf38/zs/PkU6nEYvFIMsyMpkMRkZGcHZ29qaDDmeOJSSRSKjONzY2ijQSIiJty189cHl5ifb2doyOjiIQCGBnZwfLy8sAgPv7e6ysrLy5nsGxhGxtbanOw+FwkUZCRKRt+VWp+W3kciYmJkRRY65BQD4GxxKRTCZFbryxsRFA9gWzLMvFHBYRkSbZbDZxXJh1+y8YHEvE4uKiKEWenZ0VPVWDwWAxh0VEpEm5ghwgu1dloaOjI9ze3gLAuxWrDI4lQFEUrK+vA8j+w8fGxuDxeAAABwcHiEajxRweEZHm1NbWwu12A1DPIoHsPdXn84nz4eHhN9czOJaAtbU1kTOfn58HAIRCIbGIdWZmRjwBERFRViQSwcnJiQiSALC/v4+Ojg4xm/R4PKpZZg6DYwnY3NwEAJhMJhweHmJgYACpVApTU1MAss0BvF7vuy+diYh+q0wmg2AwCEmS4PV6IUkSenp6kEqlAABdXV1YXV1991p2yNG4eDwOSZIAABUVFaKxsNvtRiQSQXd3t6i0mpubw8LCQtHGSkSkJclkUuzGUSgQCCAUCn24Jy6Do8b5/X4sLS2pfuZwOBCJRGCz2aAoClpbW8Uek8fHx2xITkT0r2g0inA4jGQyCb1eD5fLhfHx8S/vkwyOGtfU1IRUKoWGhgY8Pz9jcnISgUBA9bQjyzL6+voAZN9FTk9PF2u4REQ/AtvHaZiiKCI37vP5PkyZ5rc94k4dRETfx+CoYflrc4aGhj793fLyclitVlVVFhER/T8MjhrmcDhgt9vhcrk+zY/bbDZcXV1Br9f/6j3ciIj+Fr5zJCIiKsB1jkRERAUYHImIiAowOBIRERVgcCQiIirA4EhERFSAwZGIiKjAP5pdzyXAlPFHAAAAAElFTkSuQmCC)
We have drawn the arrow diagram of the given data
From the given data we can analyse that each element in the domain set A has exactly one output.
Therefore, the given data is a function.
Note: All functions are relations but all relations are not functions.
Related Questions to study
Maths-
Solve 3(x − 7) = 2(x − 3). Write a reason for each step.
Solve 3(x − 7) = 2(x − 3). Write a reason for each step.
Maths-General
Maths-
A polygon has 6 sides. It is equilateral and equiangular. It is a
A polygon has 6 sides. It is equilateral and equiangular. It is a
Maths-General
Maths-
What additional information is necessary to state that the given polygon is regular?
![](data:image/png;base64,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)
What additional information is necessary to state that the given polygon is regular?
![](data:image/png;base64,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)
Maths-General
Maths-
Solve 5(2x − 8) = x + 14. Write a reason for each step.
Solve 5(2x − 8) = x + 14. Write a reason for each step.
Maths-General
Maths-
The given polygon is a
![](data:image/png;base64,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)
The given polygon is a
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALAAAACjCAYAAAAq9ZRrAAAXQ0lEQVR4nO2daVcUVxqAn6pqcMF1NJG4L5ATNKNxRKNyRsVlUHFDjYIIKiComZOZfJjfMZMZdQIosogo2IPiHs1xQY3oMBq3RI2KCxi3icEBke6qmg+mKo3GJU033dXc5xxOcrC6u7rq4d73vve9tyRd13UEAosi+/oEBILmIAQWWBohsMDSCIEFlkYILLA0QmCBpRECCyyNEFhgaYTAAktj8/UJ+AJd1/mlCUhZlmlsbGT//v0cPHgQTdN8cHZvTrt27ZgxYwZjxowBQFVVJEkCeOG/gYrUGqeSdV1HVVV0XUeWZRRFweFwUFFRQWFhIbW1tUyaNIlOnTr5+lRfiiRJVFdXc+TIEd577z3i4+OJiIhAlmVUVQWe/UHKcmB3sq1WYE3TzJt98eJF8vPzqaqqYs6cOcyePZuOHTv6+jTfiPv375OXl8eRI0cYPXo0iYmJ9OvXz+w9hMAWxggVZFluEg4YN/XGjRtkZmZSWVnJnDlzWLRoEZ07dwZo0or5I8YfoaIoZmucnZ1NRUUFU6dOJTk5ma5du5rHut5mSZICJrQIaIFdY0JDyKCgIGpqasjPz+f48eOMHz+ehIQEevbsadlWS1VVFEVB0zS+++47cnJyuHDhAnPnzmXBggWEhISY399AluWAkDigBTaENFqc+/fvY7fb2b9/P0OHDiUhIYHw8HDzWF3XzRbNShhySpKELMs4nU7+85//sHHjRu7evcv8+fOJjY2lffv25rGKovjylD1GwAn8fFcJUFdXx86dO7Hb7YSGhrJkyRJGjBgBPLv5RjwM1myZXAU2eh2bzUZDQwMHDx5ky5YtyLJMfHw8EyZMIDg4GHjxWum6brnvHnACu7Yw9fX1lJeXs2XLFiRJIiEhgXHjxpk3MFB5Xsy6ujrKysrYtm0bvXr1IiEhgd/97ndIkoTD4UCWZWw2mymwlSQOOIE1TUNVVc6cOUNOTg4PHz5k4cKFzJw5k+DgYMvGue5gpAuNsOjHH39k69at7Ny5k4iICJYuXUpYWNgLra8Q2IdcuHCBzMxMbt68SUJCArNnz6Zt27ZomtYkE2GzBf4cjvGdDUGNvPCDBw8oLCzkiy++YOzYsaSmphIaGmq23EJgL2OkkODngcu1a9fYsGED58+fJzY2ljlz5tC9e3fz+Oex0k1qDq/67teuXaOoqIgTJ04wZcoUFi1aRPfu3c3ra1xbf8aSArtmDKqrq9m0aRMVFRWMGjWKjz76iAEDBjTJAQtexAgtVFXl/PnzFBUVUVVVxfTp05k1axZdunRpMrj1VywpMDybgSorK2Pv3r2EhYWRnJxMRESEGfcBlkyJtRROp9P8f5vNhtPpNKfS6+rqmDt3LpMnTyYkJMSHZ/l6/Fpg167M+Pnf//7HgQMHsNvtdO3alaSkJEaOHGke7/paq42oWxLjWj0/eHM4HHzxxRcUFRXRsWNHEhMTGT16NDab7YV8sz/g1wIbOVqjqzty5Aj5+fnous6yZcsYP36831zIQMEIG+rr69m5cydbtmyhZ8+epKSkMGzYMDPX7C+9m18LDM9aiIqKCtatW0ddXR2LFy/mD3/4A0FBQTgcDjNpL/AMrhM7iqJQW1uL3W7nX//6F4MHD2b58uWEhYX5+jRNfC7w8wU3rt3+uXPnyM3Npaamhjlz5jBt2jQ6derUJLQwXusPrUEg8Eu10rIsc+fOHex2OwcPHiQyMpKkpCR69+4N0ORetHTY5hcCP1+be+3aNTZt2sSZM2eYNGkScXFxhIaG+vI0BT/x3XffUVRUxNmzZ5kwYQLz5s0jNDTUvIeSJLVonYVfCGzIW1NTQ2lpKeXl5bz//vssXryY/v37mxdHhAq+w3VWD+Drr7+moKCA6upqZs+ezbRp0+jSpUuTY1oCnwpsfLSmaWzfvp3i4mIGDRpEYmIigwcPNkMFq1aJBRKuk0fwczXb8ePHycvL4+nTp6SkpDBu3Djz+Ba5X7oPUFVVV1VVdzqduq7r+pdffqnPnDlTP3XqlC9OR9BMVFXVt23bpsfGxupXrlzRdV3XGxsbdYfD4fXP9kkOSpIkc6T78OFD1q5dy6effkpkZOQvTn0K/Btd180w4m9/+1uThQTexicC6y6j1YKCAgYMGEBUVBSNjY2+OB2BB1BVlfj4eH744Qf27duHzWZrEYl9NgugKAqnT5/m8OHDrFq1iqCgoBb70gLPoigKsizTrVs3VqxYQU5ODvfu3WuRSSafhRD19fXk5OQwY8YMBgwYgNPpFOGDhTEanqioKMLCwigoKAjcFliSJEpLS6mvr2fhwoVNEuFCYmsjSRKrVq3i2LFjVFZWev3zWkxgh8NhtrI1NTVs3bqV5cuX06FDBzP5LYpvrI+u6/Tt25d58+aRnZ1NfX09qqqauXxP02ICG5uI6LrO2rVr+fDDDxk5cqRZz9DSMzgC76FpGnFxcQDY7XYURWlSvulJWkxgSZIIDg7m+PHjXL16laVLl1pyFazg1ei6jtPppF27dmRkZLBz506uXbvmtYW0XhXYtcuQJInHjx+zdu1akpKSzDVYQuDAwqgO1HWd4cOHM3LkSLKzs81/NxbdeiqcaNFBXFFREW+99RaTJ08Gnu2SI8KGwMJYOCrLMrquk5yczK1btzh8+LA5UIdfXqvn1ud55F1egmvreunSJXbs2MHHH38c8PsyCJ6h6zpvv/02SUlJZGZm8uOPPwKe3ZutRUIIh8NBdnY206dPJzw83O/33RV4DqfTycSJE3nnnXcoKChoMpj3BF4V2Bh57t69mzt37rB48WKR521FGK2szWZjxYoV7Nu3jwsXLnh0xtWrAsuyzK1bt9i8eTNpaWl06tRJtL6tEFVVeffdd5k5cybr1q3j6dOn/i2wMaOmKAp5eXkMHDiQCRMmeDWhLfA/jPtsVB8mJiby4MEDdu3aZf57c2dfPS6w0+nE6XQiSRIVFRV8/fXXpKenmyPT4OBgkXloJRhLxIxZ1pCQEDIyMiguLub27dvAs/FRc3plr7TAkiTx5MkT1qxZw7x588wt78VUcevj+T0noqKieP/991m/fj3Q/M1nPC6wkcjevHkzISEhzJo1S1SaCYCflyUtW7aMb775hhMnTviXwPpPizOvX7+O3W7nj3/8I+3btzfrRQWtG5vNhizL9O7dm4ULF/L5559TV1fXrPf0qFXGri2ZmZlMmjSJIUOGmL8XoYPA9bFf06ZNo3PnzhQWFvpPCwxQXl7O5cuXWbJkiaffWhAg6LpO27ZtSUtLo6ysjBs3brj9Xs0WWNM0HA4Hqqryww8/kJeXx/Lly/nNb37T3LcWBChGWu23v/0tMTExrF69msbGxhc2IX8Tmi2wa4FGXl4e3bt3JyYmRuR7Ba/FKPa5du0aX375JUDLCwzPgvOzZ89y5MgRMjIyzEokgeBlGBmJzp07s3LlSvLz87l3796vniNwW2DjBHRdp7GxkezsbGbMmGEW64isg+B16D9tVzVx4kT69u3Lxo0bzfDCcOt1uGWZa1GyLMuUlpbidDpZuHDhszf9abQpMg+Cl6EoilkPLssy6enpHD9+nBMnTvyqirVmtcCSJHHv3j22bNnCkiVL/H47eoF/omkagwYNYtasWWRnZ/PkyZM3DiXcFtgIEf7xj3/w4YcfMmbMGK8t3BMENkbIMH/+fIKDgykpKXnjENRtgRVFoaKigtOnT5OSkiJCBoHbGNPJHTp0ID09Hbvdzq1bt95IYrcEliSJ2tpasrKyyMjIoEePHuYDQET2QdAchg8fzu9//3vWrl37Rik1twUuKSmhbdu2xMbGNgm4RSsscBfDoeTkZC5fvszRo0df+xq3BL506RJ79uzhk08+aVLzKVJnAndwfYyasRA0LS2NrKwscyHoy3DLuLKyMj744AMiIiKaPDtMtL4CT6CqKlOmTEFVVU6fPv3KY90SuK6ujj59+rh1cgLB69B/eh5Kjx49qK+vf+Wxbvf5RoAtwgaBJ3F9CqjXJjJEpkHgTX5NKCqaT4GlEQILLI0QWGBphMACSyMEFlgaIbDA0giBBZZGCCywNEJggaURAgssjRBYYGmEwAJLIwQWWBohsMDSCIEFlkYILLA0QmCBpRECCyyNEFhgaYTAAksjBBZYGiGwwNIIgQWWRggssDRCYIGlEQILLI0QWGBphMACSyMEFlgaIbDA0giBBZZGCCywNEJggaVxW2DxQBeBNzAeIv+muCWwLMs0NjYCmE8pEgg8gfEEe4CnT5++tqF0S+ARI0ZQXl5ObW2teMiLwKPouo6iKFRVVVFdXU1YWNgrj3fLvpiYGN566y3y8/OFwAKPIssymqbx2WefMW3aNMLDw199vDsfEhQURGpqKnv27OHq1atomoaqqr8qdhEIDAx/nE4nkiRx+PBhbt++zaJFi177WrcEVlWViIgIZs+ezV//+lccDocY1AmahaZpKIrCw4cPycnJYeXKlXTp0uW1j3Rzu//XdZ0FCxZw//59Dh06hCzL6LouniEncAtZlpEkiYKCAnr27El0dDROp/P1r3P3wwC6dOnCJ598Qk5ODnfv3kVRFNESC341Ruv773//m/LyclatWmV65JUshCRJKIoCQFRUFH379iUvL8+dtxIIkGWZuro6srOziY2NZeDAgaiq+kaNoUdSCB9//DFfffUVlZWVnng7QStDlmXsdjtOp5MFCxagaZoZinotBjbQdZ1+/foxf/58srKyzKeLi4yE4FUYmQeAmpoaSktLWb58OR06dAB+jom9EkI8j67rzJ07F0VRKC4uBsDpdIoBneClGAN+TdNYvXo1Y8eOZdSoUei6jizL5s/r8EgLrKoqbdu2JTU1ld27d3Pjxg0URRECC16JoigcPXqUy5cvk5SUBPz60oRmC2w086qqMmLECKKiolizZo35e5FaExgYLhit7KNHj/j8889ZtmwZoaGh5u9/DR4R2GazYbPZAIiPj6eqqoqjR48iSRKapjWJdwStF2NcZDRuW7dupWvXrkydOhV41iK3uMCu6LpOjx49SE9PZ/Xq1Tx69Mic2xY1EwJXLl68yK5du/j000/NlKw7eNwqVVWZMGECffr0obCwsEkoIWjdGJmFp0+fkpWVRUxMDGFhYc3KWHlUYENWRVFYtWoV+/bt49y5c836CxMEDoaoO3bs4MGDByQmJjY7tPR4CKHrOk6nk0GDBjFz5kxycnJ48uSJCCEEKIpCdXU1xcXFLF26lI4dOzZ7vsDjLbCu62ZWIj4+nv/+97+UlZU1OU6EE62X9evXM3jwYKKjo1FVtdkueLxZlGXZHE127NiRjIwMiouLqampMVtnkZFoHRhzBMb9PnXqFGfOnCE1NRVFUVAUhaCgoGYVgHlFYCMW1jSN0aNHM2LECLKysgDeuEhDYH1c73NdXR2fffYZ8fHx9OnTx+yp32S6+FV4NTA14pulS5dy6dIlvvrqq2b/xQmsgxEeKIpCSUkJ7du3JzY21qNlBl4V2Bi49erVi4SEBNasWcOTJ0+azNCJeDiwURSF69evY7fb+dOf/kRISIjZS3sCrwtsSBwTE0O3bt3YvHlzk9ywqFoLbJxOJ+vWrSM6OpohQ4YAWEdgV9q0acPKlSvZunUrV65cAWh2/CPwbyRJ4sCBA1y5coVly5Z55TNaTGBN04iIiGDatGlkZmbicDgAscNPoOEaFj569IiCggJSUlLo2rWrV8LFFhPYyEokJydz+/Zt9u3bB4idfQINXdfNXZtycnLo3bs3kyZNQtM0rzRWLSawkRPs3LkzaWlpFBYWcufOHTFDF4AEBQVRWVnJsWPHSEtLQ1EUj0xa/BItbo+maURHR9OvXz/y8vLEcvwA4PmMUmNjI5mZmcyaNYvw8HAz5+sNWkxgWZax2WzmDExGRgaVlZWcPHkSSZLEDJ2FMXpXo2x2+/bt5jIzeJZKs9ls1g4h4OcBm6ZpDBgwgNmzZ/PPf/6ThoYGQNRIWBmjCvHOnTvk5eWRlpZGx44dvf65PglAjZqIuXPnEhwcTHFxsZihCwBUVSUzM5OxY8cSGRnZIjl+nwhsFPyEhISwatUqSkpKqKqqMkMJI5wQLbL/4rohn8PhQJZljh07xrlz50hPT0eW5RYJCX0isOsExrBhw5gwYQJ///vfaWhoMGMl0Rr7N66LM9u0acPdu3fJysoiKSmJt99+G1VVW2Qhg1/ksJKTk3n8+DF/+ctfKC8vF2voLICxmLexsZHS0lL+/Oc/Ex4ezowZM8yKw5boQSXdD/ppVVVpaGhg+/btlJWV0b9/f+Lj4xk2bJhZHA80qaEQgnsf19SYcR+M+paGhgZOnjzJxo0befr0KQkJCUyaNAmbzdZEXG/fJ78R2OhuHj16RElJCTt27CAyMpLk5GT69+9vbn5s5BTFOjvvYxRbGddclmWcTifnz59nw4YN3L59m8TERKZPn067du3MY1vy3vhcYNePN3KJwcHBVFdXs3nzZg4fPkx0dDQJCQmEhob65CK1Zlwbl2+//Zbc3FwuXbpEXFwcc+fOpUOHDuYgzqBVCQwvSuzawl65coXCwkLOnj1LTEwMCxYsMAtDnt8oQ4QWzcc1bDCu5c2bN8nPz+f06dNMnDiRefPmmTvpGD+u+/m25ADcLwR+GcZgTlVVzpw5w6ZNm6ipqSEuLo6pU6fSqVMncxdv1+UpIoPhPkYDIssy9+7do7i4mIMHDzJ8+HDi4+MJCwtrEhf7Gr8W2Bi86bpujniPHj1KUVERuq7z0UcfMX78eNq2bWtuYWVscSVwn4cPH7Jnzx527dpF7969SUpKYsiQISiKYo5FPFmU3hz8WmDXLTiN8EBRFBwOB3v37mXTpk10796dxMREIiMjzR0xXS+sP1xkf8R1A2mj12poaODw4cMUFBTQpk0bUlNTGTNmjDnB5HothcAeoL6+nm3btrF582YGDRpEWloaQ4YMMaX3l4vsb7g2CjabDYfDQUVFBevXr6e+vp6UlBQmT55siYGyJQV2HcApisL9+/fZtm0bu3btYujQoSxdupSBAwf6+CytwcmTJ8nNzeX+/fssWrSIyZMnExIS0mRFsT9jeYEBMya7efMmJSUlnDhxgsjISJKSkujZs6f5mtbYGr/se1+8eJENGzZw/fp1YmNjmTVrFt26dTOvrdGDCYG9iHFznh8VX7x4kY0bN3L16lWmTJlCXFyceXNcZ5MCHdeCKOM7V1VVUVRUxKlTp4iKimLBggX06dMHaCq7Vf7gLS3w8xith6IoaJrGqVOn2LhxIw8fPmT+/PlMmTLF3FCutQisaRpBQUF8//33bN++nf379/Pee++RlJTEu+++ax5rBVl/iYASGGiSFzZEPnToELm5uQAsXryY8ePH06ZNG1+eZotRW1vL3r17KS4uplevXqSmpjJ06FBzzzKjKEcI7Ee4poiMltbpdLJ7927y8vLo2rUr6enpjBo1Cmiab7bi00afX5NmLKLcv38/69evJyQkhBUrVjB69OgmxxtYuTcKSIF/CSNsePToETt37sRut9O3b19SUlIYNmyYWaDtznMafI3R6xiVYEeOHCE3NxdVVUlOTmbs2LG0b9/ex2fpHVqVwMYATlEUvv/+e0pLSzlw4ACDBw8mOTmZ8PBwX5+m2xgxf0FBAQ8ePDCn2zt37mwO5gJxlrLVCPx86s1ID1VVVZGfn8+ZM2cYN24cCxcu5J133vHVabrFt99+S0FBAd98880LBU+uxTZW61nehFYj8KvQdZ3z58+Tn5/P1atXiYuLY+LEibRp08Zvb7qu69TW1lJWVsahQ4cYOXIkSUlJZkqstdDqBXZd2wVQWVlJbm4uV65cITg42C8XlkqSRFBQEPX19XzwwQcsX77cfMJ7oIYKL6PVC/wyHj9+7NdbvxppwpCQEF+fik8RAgssjX8GeALBGyIEFlgaIbDA0giBBZZGCCywNEJggaX5P3UYdUenSIsmAAAAAElFTkSuQmCC)
Maths-General
Maths-
Maths-General
Maths-
Is the given figure a polygon? Explain why or why not
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPEAAAENCAYAAADe7IPfAAAgAElEQVR4nO2d2XOTZ5b/P9olW5Yt7zbGxnjHBrM3CQQ6bFlhOhO6Opkk3ZXqqp6qrqm5mqu5mJl/YKaq5yrVM12Znu76dYp09qQhpMlCYBIg7It3GxuQN1neZe36XVDPm1fCgCBGtvH5VFFoffVK8lfnPOc5iyEej8cRBGHRYpzvExAE4YchIhaERY6IWBAWOSJiQVjkiIgFYZEjIhaERY45+YZ/+Zd/4cqVK1gsFoxGI9FoFIPBAIDRaNQuRyIR7bIwvxgMBvQ7hQaDAavVisViITMzE6fTicPhwOFwkJGRof3LzMzEbrfjcDjIy8sjPz8ft9ud0veqXk//2Hg8Tjwe185H/xj1T/9c/WNme5yQGobkfeK6ujra29vn63yEOcZoNGK327Hb7dhsNk3MSrzqPrfbTUFBgSbk7Oxs8vPzKSwsxO12k5OTg8PhwGQyaULTi1EJLxaL3fV81OOShZ4seKNRnMRUuc0SOxwOACwWC1arFaPRSCgUwmQyEY/H7/klCenhTjk6yZYtHo8TDAaZmZm543OSycrKorCwkOXLl7NixQrKysooLCwkNzeX7OzsBKvtcDgwm82YzWZMJhMmk0n7G1GvH41GicViGI3GBHHO9mMguUf3z20iNptv3WQymcjNzaW+vp5oNKp9QepLiUajaT9ZIZE7uZ7qx1b9A4hGo4TDYSKRiHY5HA4TjUaJRCKa0IPBIH6/n+7ubrq6um47dmlpKQ0NDaxdu5bGxkYqKyspKCjA5XKRlZVFRkaGtuxSooxGo8TjcU3Aerdb/17E+j4Yt4k4FAoBkJmZydNPP81//Md/YLPZiMVihMNh4vE4FosFk8mU9pMVbudOliscDhMKhZienmZqagq/34/f72d6evq2y5OTk1y/fh2fz4fX62V8fBy/38/MzAx+v59gMEggECAajTI0NITX6+WLL74gHo9TWlpKc3MzGzduZNWqVaxYsYLs7GxycnJwOp2aGw9oYk4Wr/66+tGRv6/UuU3E6gMNBoPE43GcTidw68NVLpOwsNBbNvX9KRc3IyODoqKiBLdWPScWi2lelbLSExMTDA8PMzg4iMfj4caNG3g8HgYHBxkdHWV6epqJiQnGxsYIBoN4PB7GxsY4deoUGRkZ5Ofns2bNGpqamqiurmb58uWUlJTgdrsTLLFCudjJATIhde4oYuU+A5rLpT5scXsWBkq8swWH4vG4tjRS4rZYLNr1u6Fc6pmZGQKBAFNTU0xNTTE+Ps7AwABdXV10dnbS19fHyMgIPp+PsbExvF4vfX19dHd3c+zYMfLy8qisrGTdunWsXbuWZcuWUVJSgsvl0s5Nufz6yLREp++P20ScHHgAtPWM/rp80PNLsoD1302yVU4OGM32vFgspv1oW61WbDYbbrf7ttedmJhgaGiIwcFBBgcHuX79Oh0dHXR3d+PxePD5fExOTtLT00N3dzcXLlzg/Pnz1NfXU1FRwdq1a6mpqaG0tJSCggKcTqe2lanOSYzE/XFHEetdL6PRqH3A6ldTPuj5ZbbtneT79Ns5CoPBkCAYJXZ9VFmht5DqR9zlcuFyuaiurgZgfHycvr4++vr68Hg8XL9+ne7ubnp6ehgYGGBkZISOjg7a29txuVycOHGC+vp6GhsbWb16NVVVVRQXF+N0OjVPQf+ekqPtqXwuS83A3CZihf7DmG0PUNYtC4PkbZvZrK4i+fuczVrrBWswGBLW0LNZdpfLxerVq1m9ejWxWIzh4WHNMl+7do329nYuX75Mb28vgUCAs2fPcvHiRZYtW0ZdXR01NTWsX7+ejRs3UlFRQWZmZsL5ql2Q5Pd4p6i83gtZKmK+TcThcFi7nCxU/ZcrLEySv5/ZvqvZvKjZvKvkH4g7vQZ8/7eSl5dHXl4emzdvZnx8nN7eXq5cucKFCxe4cuUKra2tDAwM0NvbS19fHydOnODLL7+kubmZrVu3snnzZmpqanC5XHd8j9Fo9I7nps5F/fiotfejzH29QxGwcCf0VttsNhOLxcjJySE7O5v6+nq2bdtGS0sL7e3tXLp0iXPnztHe3o7f76e9vZ1r165x9uxZNmzYwLZt29ixYwfl5eVkZmYSi8WIRCK3vZZ+SaF2T9TSbyklJT36P1NC2lDi0sdSAGw2GyUlJeTk5LB69Wq2bNlCR0cHLS0tXLp0ifPnz+PxeGhtbWVwcJD29nYuXrzImjVrePzxx6mpqcHhcCTEafSvqf7Xr/NVYtJSQEQszBnKJdevS5UVNRgMmmUuKCigrq6Obdu2cfXqVU6dOsXp06e5evUqN2/e5PTp01y7do1z585x5coVNm/ezLp161i5ciUZGRlEIpHb1v4qpzv5fJYCImJhztALVy9ks9mcEBw1m83k5uaSl5dHUVER69atY8eOHXz99dccO3aMy5cv4/V6GR0dpa2tjW+//ZatW7eya9cu1qxZQ0FBwW1ZYErEs22fPeqIiIU5Q5+4ASTkTCdnZUUiES2BqKysjKKiIqqrq9m0aRMnTpzg448/pre3l/Hxcc6fP093dzfffvste/bs4Sc/+Qm1tbVkZmZiMpm0PHCVoJQs5kcdEbEwZyS70/qsLBWYUhVxqkpOH5QqKysjJyeH+vp6du/ezaFDh/jrX/9KZ2cnPp+Ps2fPcuPGDU6fPs3f/d3fsXPnTkpKSrBarQAJwa+lhIhYmFNUySEkWmKz2Uw8Hsdut9+2loVb4o7H42RmZpKRkUFxcTFVVVU8+eSTHDlyhCNHjtDW1sbNmze1go3Tp09z4MABtm7dmpBiajQaEwJsjzoiYmFOUa6zvvRQb6Fh9kQhJWb1fJPJRH5+Plu2bNHyrz/55BO++OILRkZGuHr1Kl6vl46ODvbt28crr7yC0+nULPvdsr5UMcjd9poXEyJiYU7RCze54m22NFAlMGVJ4/E4kUhEc7tdLhdut5vS0lKqqqqoqanh008/paWlhaGhIT777DP6+vro6urihRdeYNOmTQnWXpXQKpfdbDZrVVsq4LbYA2AiYmHOeBAxzPYcZUkdDodWLpmTk8MTTzxBZWUl1dXVfPzxx5w+fZqBgQFaWlpoaWnhxo0bmntdXFycEODSNyfQC1xf+LFYMf3bv/3bv+lveOONNxgcHMRqtbJmzRr27dun3fco/GoJCxvleienS6q656ysLDZs2EBlZSU2m02rb45Go1y5coUvv/wSg8HAsmXLsFqtmM1mrFYrVqtVC7AZjUbt+qOQZy2WWFhQKEupAmRq31nfdTUajbJ27Vrq6+vZsmUL//3f/82FCxcYGBjA6/Xy7//+73R0dPCP//iP1NXVkZ2drQW5bDZbQmHFYhavQkQsLDiUaNX62mQyJQSgwuEwRqMRh8PBrl27qK6u5vDhw/zud7+jtbWVYDDI0aNH8Xg8vPzyyzz//PPk5+cn5HeHQiEsFsuit8IgIhYWGHerVVdrZf1etMPhoLq6mp/+9KdUVFTwX//1X5w+fRqv18vJkyeJxWIEg0F27dqlueCxWEwT8KOAiFhYcOiFrM8Am62eORQKEYlEtLa6LpeLgwcPcvToUW7evMm5c+cIBoN4vV727t1LY2MjOTk5GI1GgsGgrIkF4WEy23QIIGF9rO5T1nXPnj24XC6ys7P58ssvaWtr48yZM/h8PkZGRnjuuefYtGkTBQUFCdHr2eqjF0s7KhGxsOBIFqi+Rlg1/FOVTBaLRdsXVsGqtWvX4nQ6KSkp4d133+XixYt0d3fz3nvvMTQ0xOjoKDt37qSgoABIbEMEaMdSt6kCi4WKiFhYkMzWoUQvpOQtKH2uts1mo6GhAbfbTVFREX/84x85ffo0g4ODfPbZZwwNDTE+Ps6+ffsoKCjQao9V8YTqr64i5Kr310JFRCw8khiNRgoLC9mzZw95eXkcPHiQzz//nOvXr3P27FltEsb+/fspKipKSBcFEhJEFnp6pohYeCRR61i32822bdvIysoiPz+fQ4cOac37/vSnPwHw/PPPU1FRkVA2qdI0lZAXsjUWEQuPNAaDAafTycaNG7XRru+++y4tLS2cP39e68v17LPPUllZqT1PpWPO1sp3oSEiFh5pVEGFzWajublZK4AIBoP09PTw3XffaQUXBw4coLy8PCFqvdBdaRARC48wyhVWedImk4mGhgZeeeUVTCYT/+///T96e3s5deoUfr+faDTK66+/Tn5+vpYUshgKJETEwiOJ2pqyWCxa5FltG1VXV/PLX/6SWCzGRx99RE9PD+3t7fz2t79lYmKCf/7nf8bhcOD3+xeFiBe2nyAIPwC1RRWJRG4bSVNcXMyvfvUrXnzxRUpKSggEAvT29vLWW2/xn//5n4yMjJCRkbEo1sQiYuGRRW+Nk2dKWSwWysrK+MUvfsFrr71GTU0N4XCYmzdv8uabb/LWW28xMjKCxWLRkkhUMwG1h6xSPkOhUMJ8q3Qj7rTwSHOvoFR5eTmvvPIK8XicN998k+7ubjo6Ovj9739PRkYGf/M3f0Nubq5mzfXNBWBhzCQTSywseVasWMFrr73G66+/TklJCQaDgTNnzvC///u/HDlyRFsbR6NRzb3W1zurUsn5yq8WSywsadRomIqKCn79618zMzPDb3/7W62UMScnB7fbzRNPPAF8P+ZXudgqIUQv6nQjIhaWNIFAQMuZdrvd/NM//RN9fX0cPnwYr9fL8ePHyc7OpqioiMbGxoRhbcoiz3eBhLjTwpJG9eEymUzaVIp//dd/ZefOnWRmZjIyMsKJEyf4wx/+QF9fHzMzM9q2k2r1o34E5sudFhELSxr9lAqDwYDdbmflypX8/d//PT/+8Y8xmUxcu3aNzz77jPfff5/+/n5tgoXeKs9nvbG404IA2hrXbrcDsGXLFl5++WWmpqb4v//7P7q6uvjggw/Iz8/XJlQshMg0iIiFJU7yGFZVweRwONi5cyeTk5P4/X4uXLjA2bNnyc3Nxel0sn37dnJzc7UtrDtNYkzuTvIwEBELSxp9jy1V+KAi0IWFhezevZvJyUlGR0fp6uri6NGj5OTkaCNmVF42JAo5uUG9Gk3zMBARC0safRO+2RJDKioq2Lt3L4ODgxw8eJAbN27w9ddfa435ampqZm3gp59F9bC3oETEgnAXLBYLlZWVvPDCC4yOjvLee+9pga7CwkJtWLqy3smZXHohR6PR29oKzQUSnRaEe+B0OmloaGDv3r00NTVhtVq5dOkShw8f5tKlS8zMzNy29tUPO3/YkWsRsSDcA4PBQGZmJhs2bGD37t1UVVURCAS4cOECH330ETdv3tR6celdZ0hseC+BLUGYB/StcpctW8aePXu4ceMGo6OjDA8Pc+jQIZqamnC73RQWFgIkuM36euSHJWKxxIJwF1TAS2VoNTY2smfPHjZs2IDVaqW7u5u3336b8+fPMz09rVnc5C0nFaV+GIglFoR7oM/MstvtbNq0iYGBAfr7+zl37hwnTpygvr6ewsJCVq9ejdVqve0YD7OxgIhYEO6CErA+cFVaWsqWLVvo7Ozk5s2bDA0N8e6777JixQpKSkooLi4GEveIVZrmw0DcaUFIEdX50mw2U19fzzPPPMO6deuwWq3cvHmTt956i6+//hqAYDCorYdVYYWsiQVhnlBrYjWcPBKJ4HQ6Wb9+Pc8//zylpaUAnDlzhk8//ZSurq6ExvPwcAskRMSCcBf0vbng+6yseDxOXl4ee/bsYevWreTl5RGLxTh27BiffPKJ1gFEdQNRPwAPAxGxIKSAEq7FYtHWtwaDgbKyMn72s59RX1+P2Wymo6ODv/zlL1y7dk0b/6IE/LCCWyJiQbgHaoqE6lutrHIoFCIcDrNr1y527NihudUXLlzg97//PWazWZvhdKfc7LlARCwI90CNTbVarUSjUQKBgBZ1VgGr5557jubmZkwmEwMDA/z5z3/G4/Ek7A8/jLxpEBELwj3R1xur6+pyRkYG8Xic9evXs2vXLqqrqwHo7e3ld7/7nda7Wv+cuUZELAj3QD+rGL6vF9YHrex2Ozt37mTr1q2YzWYCgQDvvPMOZ8+e1ZrxiYgFYZ7QZ2xBYiMBdT0SidDY2MiPf/xjKisriUajXLt2jU8++YSenp6Ex+sj3HOBiFgQ7oESoNls1oRoNpux2WyaJVZr5I0bN7Jr1y4th/rIkSOcOnWK6elpbahbPB4nHA5rEesfKmoRsSDcA/2UBxVx1repVUGvWCxGXV0dBw4cYMWKFYRCIa5fv87nn3/OpUuXALS941gspkW89SJ+ECGLiAVhjohEIgDU19fz6quvYjKZmJmZ4cKFC1y4cIHp6WkAbb9ZNeVTpY5iiQVhHtFnYxUWFvLMM89QV1eHwWCgp6eH7777jo6ODsxms+ZC66c0/pAOICJiQZgDVCIIfN+X6+mnn8bpdDIxMcHly5c5d+5cwphUSKw3flBExIIwR6gAVzgcxm6389RTT1FeXg7AtWvXOHv2LB6P57akj+SWt/eLiFgQ5gB91VIsFsNsNtPU1MSmTZtwuVx4vV6uXLnC2bNntfv1PbkgcUDb/SAiFoQ5QAkSbrnTVqsVl8vFzp07KS8vJxKJcO3aNY4fP47X6511ENudpkjc87Xn9q0IwtJE7ROrvWTVzWPz5s1aKqbX66WtrY3Ozk6mp6e1Lphq+yp5JEyqiIgFYQ5QwtVHm4PBICUlJTz11FM0NjYyOTlJa2srp06d0gon9PnY+uffDyJiQZgDlAiT17gOh4Pm5mYaGxsB6O/v58yZM/T19REOhxNE+6AzjkXEgjAH6Me3KCurEjpKSkpYtWoVy5YtY3p6mqtXr3LmzBkmJiZuG//yIIiIBWEOUFFlff2wKkHMz89n/fr1NDc3A2jJH4ODgwnPlbRLQVhgKNfY6XRSX1/P2rVrsdvtTE1N0draSmdnJxMTE9oa+kETPkTEgjAHqMhy8hxilZlVVFTE6tWraWhowGg00tvbS0tLC6Ojo1pEW9IuBWEeSZ5zrB8yrjK4ampqWLduHUajEY/HQ2dnJ16vF+AHdcIUEQvCHKIsqj5xQzWRLy4uprGxkZycHAKBAN3d3fT29uL3+6WeWBDmG31gSu8Wqy0kNR51xYoVWj51X18fnZ2djI6O/qAotYhYEB4CSsj6NbLVamXZsmXU1taSkZGBx+Ohvb2doaGhH9TOVkQsCHNAcsaV3gKrtEqHw0FZWZnmUvv9ftra2ujt7dX2liXZQxAWMAaDAZfLRW1tLeXl5RgMBgYHB2lra8Pn82mteu4XEbEgpAG13rVarVRVVVFVVYXL5WJwcJCrV6/i9XofKG8aRMSCkFbMZjPLly+nrq6OvLw8JiYm6Ozs5Pr161qPrvtFRCwIaUAf6MrNzaWmpoaSkhIAPB4Pra2tTE1NiTstCAsV/faRyWSisrKSyspKnE4nIyMjXLx4EZ/P90CplyJiQUgTqud0NBqlrKyMmpoaCgoKmJycpL29nbGxMRGxICxk9A0D8vPzKS8vJy8vD7jlUk9OTj5Q+qWIWBDSjNFoxGazUVhYSEFBAYAW4JqamrrvZnkiYkFIE8nCzM3NpbCwkIyMDAKBAK2trYyNjSXMaEoFEbEgpInkrpZ5eXmUlpbicrkIhUK0tLQwPj6uNdBLFRGxIKQB/ThUZWULCwspLy/H7XYTjUZpbW3F5/NpRRRiiQVhgaHPxopGo2RnZ7Ns2TItuHXz5k08Hg8zMzNA6q1rRcSCkCb0Q9QUal2sZhd3dXXh8/m0saepICIWhDRwp0Z4breb8vJysrOzMRgMXLlyhaGhIYCU18UiYkFIE7OJOC8vj6qqKnJycjAYDLS1tTE8PKyVMKaCiFgQ0kiyiHNycqioqCA7Oxu41c52ZGREGzyeCiJiQUgTyZMe4vG4lvSh3OmZmRmGh4fx+/0pH1dELAhpQAlXdf/Qd8TMyckhPz8fi8UCwMDAAKOjoykfW0QsCGkmeW1ssVjIycnBbrcDt1IwJycnUz6eiFgQ0kzyuthqtWrplwAjIyOMj4+nfDwRsSCkgeQtJr2QrVYrxcXFOBwOAIaHh/H5fCkfW0QsCGniThlYNpuN4uJizZ0eGBjQJkOkgnlOzk4QhJSYTcg2m42SkhIcDgcmk4nBwUFGRkZSPqZYYkFIM2oCor4DZlFREQ6HA4vFwuTkpESnBWEhot8fVv9isRhGoxGXy4XD4cBsvuUcT01Npdz9UkQsCGkiWcT6Ygiz2UxhYSFWqxWA0dFRBgYGUjquiFgQ0sC9UihNJhOFhYXYbDZARCwICw69C60yttTtcEvE+fn5miWemJhIeZtJotOCkGb0VlkVOhiNRtxut2aJ/X4/ExMTKR1PRCwIaWY211oNW1N7xYFAgKmpqZSOJyIWhHlAL2QV8HI4HJqbfT8iljWxIKQRfXRaXQe0+cUmkwmDwUAkEkm5HFEssSCkAX272ju50xkZGdpA8nA4TCAQSOnYYokFIU0ot1mPSvgAyMjIwGw2ayIOhUIpHVcssSDMA/ocaiVkm82G2WzW3OlgMJjSscQSC0Ka0O8V6/eHjUYjkUgEq9WqXY9Go4TD4ZSOK5ZYENKEXrz6hA+4lXZps9k0Afv9fglsCcJCI3lbSe9Sq0mJJpOJeDxOJBJJObAlIhaENJKcraVuM5lM2O12bU0MpBzYkjWxIKSJu0WmlYgtFovmZouIBWGBMdsoF72wVWBL3ZZqYEtELAhpInk+sdFoTNg7vp/B4npkTSwIaUafchmPx4lGo8Tjcfx+P6FQKCH5IxVExIKQRlTZoRKqIh6PEwqFElryqIqmeyEiFoQ0kWyBFcqtDoVC2kxio9Go9du6F7ImFoQ0kly9pO+7FQgEtCYBFotF6/JxL0TEgpAmkqPT+sh0NBplZmZGWx9brdaU3WkRsSCkGVWOmFzVFAwGiUQihMNhDAaDWGJBWKjMZpFV+aG63WazpRydFhELQppI7uqRfFllaKkGAU6nM6XjiogFIc3MFqVWlUvKGusby98LEbEgpJHkjCy1JlYiVvvEJpMJi8WS0jFln1gQ0sSd+mvBrZRLtcUE3NeaWEQsCGlCucjJyR6KqakprSWP1WqVwJYgLGRma5o3NDSkBbdycnIoLCxM6VgiYkFIMyorK7lBwPXr17WG8W63m9LS0pSOJyIWhDShL0VMLoCIRCIMDg4yPT0NQG5uLkVFRSkdV0QsCPOAErISthqgptxpt9tNTk5OSscSEQtCmkjuNa2i1ZFIhJGREfx+P7FYDJPJhNvtvudMY4WIWBDSxGyFD3Crl9bAwAAzMzPEYjHy8vJwuVwpH1dELAhpQLnPql4YvhdzMBhkaGhI217Kzc0VEQvCQkbtE6vgVigUYnBwkJmZGeLxOEVFRbjd7pSPJ8kegpAm9OWH+uKHUCiE1+vVmsUXFBSQm5ub8nFFxIKQJvRbTEajMUHEPp9PE3F+fr6IWBAWGnoBJ1cpzczM4PV6tTVxXl5eyttLIGtiQUgbyYPGlYjHx8cZGRnR9ojz8vLIyspK+bgiYkFIE8nTH+BWkkd/fz8TExMAuFwu8vPzU+6vBSJiQZgXlFUeHR2lu7ub0dFRDAYDdXV1FBYWYjKZUj6WiFgQ0oy+FHF4eJj29nbGx8cBWLNmDfn5+fc1zkUCW4KQJvTrYCVSn8/HjRs3tJTLxsbG+xaxWGJBSDMqsBWLxRgeHmZkZIRYLEZGRgYVFRXk5OSk3F8LRMSCkDZUlpaqXhoYGKCnpwefz4fRaKSiooLc3FwyMjJSLn4AEbEgpB3lKk9MTOD1epmcnMRgMFBbW0t2dvZ9WWEQEQtCWphtwLjX68Xj8TA+Po7FYqG5uZnc3FwRsSAsVPTDxeFWZNrj8RAKhbDZbNTU1OByue7LlQYRsSCkHaPRyMzMDP39/Xi9XuBW+WFxcTEOh+P+jzfXJygIwp1RVUz9/f309PQwMjKC2WymqqqK3Nzc+0ryUIiIBSHNxGIxenp66OzsZHR0lJycHFavXn1fLXn0iIgFIU0ogYbDYXp7e+nr6yMYDJKTk8OqVavue39YISIWhDSgbwbg9Xrp7u7W1sPLli2joqLivveHFSJiQUgTBoOBcDjMtWvXaG1txev14na7qauro7S0FLPZLCIWhIVOIBCgs7OTjo4O/H4/xcXFNDU1UVhYqGV03U/eNIiIBSFtxGIxJiYm6Ojo4ObNmwCUl5dTV1dHdnY2kUjktskQqSAiFoQ0EQqF6O/vp7W1lampKVwuF9XV1ZSVlWE2m+/bAitExIKQJvx+Px0dHVy8eJFgMEhFRQWrVq3SXGmr1YrJZJKMLUFYqIyPj9Pd3Y3H4wGgqqqK6upqsrKyiEaj2uzi+0VELAhpIBQKcf36dS5fvkwgECA/P5+6ujqWLVuG2WzWpkM8iEstnT0EIQ0EAgG6u7s5ffo0sViMsrIyqqurKSgo0FIt9e1s7wcRsSDMAcllhiqxQyV5eDwezp8/T29vL1arlZUrV1JdXZ0wrkXcaUGYR9Qer36bSAl7YmKCU6dOcfz4ceBWxVJzczOVlZVYLBZisRihUOiBtpdARCwIc0I0GtWsrpp8qPpoDQwMcP78edra2rBardTV1bF69WqtQbzBYMBsNj9Q3jSIiAVhTtDPHlZzlqLRKNFolKtXr3Lu3Dltb3jdunWsWbMGl8ulWd8HKUFUyJpYEOYAJUIl4lgsxszMDKFQiDNnztDa2gpAaWkpzc3NFBQUYDabb4tIy5pYEOYJvSusjzK3t7fz3XffMTAwgNvtpqGhgaamJmw2m/ZY/eDxB0EssSDMAcqaqgIGZVGPHz9OS0sLcKvkcOPGjaxYsUJbLysexAIrxBILwhygrKmyrPF4HI/Hw1dffUV/fz8ZGRnU1NSwZcsWnE6n1n/aaDRqrrhsMQnCAsBoNGK1WgmFQpw8eZIrV64QCoUoKSmhqamJVatWacJV0Wy1p/wgZYggIhaEOSE5OCRpO08AABDhSURBVBUIBPjoo48YGhrCYrFQV1fH5s2btb7Seourn1v8IMiaWBDmAJPJpK2FZ2ZmuHDhAt988w0zMzMUFhayZs0a1q5dqz1WoQSsAmPiTgvCPGEymbQZS/39/Rw8eJD+/n4AampqWLduHaWlpQAJbrQi+fr9ICIWhDnCZDIxNTXFd999x4cffkgsFiM7O5tt27axdu3aB87IuhciYkGYA2KxGCaTiba2Nj744AMGBgYwm800NTWxc+dOampqHtpry5pYEOYANZrl66+/5ujRo2RmZmI2m9m/fz9NTU0YDAYikQhm89xLTiyxIMwRx48f58iRIwwPDwOwceNG9u7dS0lJCYC404KwkBkaGuLTTz+lpaUFm82GzWbjZz/7GStXrtSys0TEgrCAOXHiBN988w0ejwebzUZTUxN79uzR+mc96B5wKsiaWBDugX5AuErU0OdIj42N8dlnn9HZ2UkkEiE3N5eXX36Z5cuXa89/WFYYRMSCcE9UPnQkEsFqtWI0GolEIkQiEYLBIO+88w4nTpzQsrMef/xxXnvtNQwGA6FQSEuxfJD+WakgIhaEe2AwGDCZTFqmVTAY1OqGe3t7efvtt+nr6wPgRz/6ES+99BJWqxX4vqopHo8/UE/pVJA1sSCkiF6MFouFgYEB3n77bS5fvszY2Bh5eXns3r2b7du3a2JNLnR4GIiIBSEF9FVGFouF4eFhPv/8cz799FN8Ph8Au3btYvfu3bhcLq00UW99RcSCMI/ou3X4/X7OnDnDxx9/TEdHB7FYjI0bN7J//34aGxu1pnkwe570XCMiFoS7oI9Mq6h0d3c3X331FSdPnsTv91NaWsqBAwd47LHHyMrK0lxu/fNExIIwjyg32mg0MjIywvHjx/nmm28YGRnBbrezfft2nnrqKYqKiohEIto2lHLBH7aIJTotCPdA7fH6/X5Onz7N4cOHOX/+PCaTiebmZl588UWWL1+eINrkXlv6lrZzfn5zfkRBWGSoPWBA630FievgeDxOX18fhw4d4tSpU0xOTlJWVsaLL77Ixo0bycjI0NIt9YX+eqv8sLK2xBILS5pIJJLQMlZZ3WAwiMlk0iYWDg4OcujQIa3xXX5+Ptu3b2fHjh3k5eVhsVgS2u7o+1A/rCQPhYhYWNLom9OpmuBQKEQkEtECVGNjY5w4cYL333+fjo4OLBYLmzZt4umnn6ayshKTyXTHvlnJlx8G4k4LSxp9vyuj0Ug0GiUcDmu3+3w+zp49y/vvv8/FixcJh8OsWrWKPXv28KMf/QiHwzFfp64hIhaWNMlN64LBoNZ2NhaLceXKFd555x2++OILYrEYy5cvZ+/evezcuZOioqKHutZNFRGxsKQJBoMAmM1mTYxqllJ3dzeHDx/m0KFD+Hw+srOzefrpp3nuueeoqanBbDZjMpkIh8Oa+z0fyJpYWNLo17KxWAyr1YrBYGB4eJg///nPHDx4kBs3bpCZmcmWLVs4cOAAzc3N2O124vG4Jv6HWWp4z/cwb68sCAsA1fNK7e8qMf7hD3/gnXfeoaurC6PRyOrVq3nttdfYuHEjTqdT25aanp5OS1bWXd/DvLyqICwQ1FDweDyOzWYjGAzywQcf8Pbbb3P16lUMBgP19fW89NJLbNmyhezsbO25+j3k+VwXi4iFJYU+k0pZXbWVFI1GOXfuHL/5zW+4dOkSsViMqqoqXnjhBV544QXcbrf2WLj1A+BwOH7waNIfiohYeGRJLkCIxWKEw2FisRgWi0UTpBJlW1sbb7zxBqdOnSIajZKfn8+zzz7Lq6++yrJly7RjJo9eUcUO84WIWHgkUXnM0WhUE6la96rgld/vx2w2Y7fbuXDhAr/5zW/4wx/+QDweJyMjg1deeYVf/epXCY3f5yuh426IiIVHEmV9lbUMh8MYDAYtkBUKhbDb7ZjNZo4fP84bb7zBRx99RFZWFoFAgL1797J//35qa2vn822khESnhUcW1RsL0FIjldurbj969ChvvPEGhw4dYmJiglgsxv79+/mHf/gHNm3ahMlk0oojFipiiYVHEn0xv2rcHo1GtcszMzOcP3+e//mf/+Hw4cP4fD5cLhcbNmzg5z//OVu2bCEzM1NzwRcyImLhkUW/9aMX9cTEBJcuXeKPf/wjR44cYWRkBJfLxbZt23j99dd57LHHsFgsWkniQkdELDyyqD1c1SdaBbMuX77Mn/70Jz7++GOGh4fJzs7mscce4xe/+AUHDhwgGAwSDoe146jqpoWKiFh4JFEChltBLKPRyPT0NOfOnePtt9/mww8/ZHh4GIfDwZNPPsnPf/5zdu3aRTQaxWKxJBxnPlMqU0FELCxKZmtCp18Dq6CWysaampri5MmTvPPOOwku9M6dO3n99dfZsWOHlk6p71SpAmILGRGxsKhRIlXurgpeqQQMNSvp6NGjfPjhh5w4cYLBwUHcbjc7duzg9ddfZ9u2bWRlZQHfR60tFsu85kPfDyJiYdGirK76lzzAOxQK0d3dzeeff87HH3/MqVOnGBsbo6ioiMcff5yXXnqJxx9/nJycHO05D7vR+8NARCwsWvQ50ConWlngiYkJurq6OHLkCO+99x7t7e2EQiFWrlzJ9u3bef7559m+fXuCgBcrImJhUaOysJRbrQR85swZ/vKXv/DZZ5/R1taGzWajvr6e3bt3s2/fPjZs2EBmZuZ8n/6cICIWFiWqhDAajWq50ADj4+N8+eWXHDx4kGPHjjEyMoLT6aSpqYn9+/fz1FNPUVtbi81m046z2BERC4uSQCCgFTcoCzw2Nsa7777LwYMHOXPmDJOTk2RnZ7N161YOHDjA1q1bKSsrw2azEQ6HtT3khR59vhciYmFRokoI1Z7ud999x1tvvcWXX35JW1sbU1NTFBYWsmfPHl599VVWrVpFbm6uln4J3NZmdrEiIhYWJUq8fX19nDhxgiNHjnD8+HG6u7u1Yv5nnnmGn/zkJ2zcuBGHw5GQeqmCYSowtpjFLCIW5oXkYWPJCRtAQueN5NumpqZoaWnh8OHDvP/++7S0tGjr47q6Ovbt28eBAwdoaGiYVaRqTb2YxasQEQtpJx6Pa0EpQGv9qi/kh++trYo8GwwGIpEIk5OTHD16lPfee4+vv/6amzdvAuB0Onnsscf46U9/yp49eygvL08oP0xG7SsvdiGLiIV5ITmlUYlaZVsZjUbC4TDRaBSj0YjFYiEcDtPW1sZbb73FkSNH6OjoYHJyEoPBQEFBAfv27ePXv/41DQ0NhMNhxsbGyM3NXfQivRciYiHtKLEqNzoejxMIBLTJC2q9Cmi3+Xw+/vrXv/Lmm29y+vRpxsfHiUajZGZm8vjjj/PLX/6SJ598ktzcXOB7674UEBELaUeJVF+va7PZiEajhEIhLYHDbDbj9Xo5efIkhw8f5tixY3R2dhIIBLBaraxfv55nn32Wp556iqamJrKysojH41oZ4aNugRUiYiGtJKdHqvEnFotFa4UTCoXwer1cvXqVY8eOcfz4cS5fvszIyAgmk4ni4mK2bdvGc889x/bt21m5cqV2fH33jqWCiFhIK3oR64v1lUvt8/no6enh5MmTfP7553z77beMjo5iMpnIzc1lxYoVbN++nf3797Nu3TpycnKIRCJEIhFtwLc+qr0UrLGIWJgX9A3rotEow8PDdHR0cObMGY4fP85XX33F8PAwZrOZgoICCgoKqKqqYufOnfzt3/4tZWVlCaNIw+Gwln6pekyroNijjohYSCt6KxkMBpmamuLGjRucOnWKo0ePcuLECTweD0ajEafTSXFxMU1NTTz55JPs3r2bqqoqTfhqn9dqtWq50JFIREvHTC5NfFRZGu/yEUVZM73LmNzxQr9HmpxQcafaWeXyqvuSrdls+676hAx9PrPKjtK/ht/vx+fz0dfXx8WLF/niiy84efIkAwMDhMNh7HY7FRUV1NbWsnfvXp544glWrFiBzWbTzkWfaaUsL9yKSqv95aXgSoOIeNGjF4peOJAo2uQ/aP1jVPJFcoZUcnqi/j49yUPF1I+AGv0Jtyzk8PAwAwMDdHR0cP78ec6dO0dXVxc3b97E7/djsVioqalhzZo1PPHEE6xZs4ZVq1aRl5d323mo103+IVoqwtUjIl7kqD9s/YS+2aywHn0bV/1xgASrezfhzibk5BlF4XAYn8/HwMAAPT09dHV1ceXKFVpbW+nq6qK/v59YLEZGRgY1NTU0NTWxefNmNmzYQHV1NcXFxTgcDgDNdb5TBtZSFK9CRLzISbays1lcvWhn+2NPbjh3N0Eku+fJ7nY0GmV0dJTx8XEGBwfp7OzkwoULXL58GY/HQ3d3N5OTkwC43W6WLVtGQ0MD69evZ+3atTQ0NFBcXJzQM0svXr0HsZSFq0dEvMgxmUy3/UHrhTab1Z3Nsqq62lRn7arXjUQizMzMaP9GR0fp7u6mpaWFtrY2Ojo66O7uZnBwUAtCFRYWUl5ezpo1a1i/fj2rV6+mtraWvLw8TCaTlgiiflyUS66f5iAC/h4R8SLmTtU/6r67PU//v0q6mK1APvn46jUikQjhcBiPx0NHRwddXV309vZy7do1PB4PN27cwOv1EgwGMZlM5OTkUFxcTGNjI01NTTQ0NNDQ0MDKlSux2WzasdXco+SCfX2Gl1jhRETEi5zZglnJ4lZVQOp+lWihf4zeot9JJPF4HI/HQ2trKx0dHVy/fp3e3l5u3LjB0NAQPp9PG0oWDAYByM/Pp6mpiU2bNlFfX09tbS3Lly8nOztby5PWB8D0nSuTg3V6112fe73UEREvYu4UKVZbLvotn7utd/UuK8DMzAzj4+MMDw/T39+P1+tlaGiIkZERvF4v/f39mnDHx8fx+/0JkwPLysqorq6mtraWuro6amtrWblyJXl5eWRlZWlJGeoclViT3Wj9+1Q/Oio3Wj8cfKlzVxHr99vkF2/hcbfvRV/iFw6HNfc3FApp+cnBYJBQKEQgEGB0dJSxsTG8Xi9jY2OMj4/j8/k0Czs8PMzk5CSBQIBAIIDf79deq6CggPLycsrKyqioqGD58uWsXLmSFStWUFRUhMvlwm633ya6uxX9q9v1/6fyvpcidxRxNBqlp6eHL774QmsqBt9/gKkEP4T5IRaLaamISqhKrMFgkGAwSCAQYGZmhmAwyPT0tGZxvV4vU1NThEIhTfSqSF/hcrlYuXIlbrebFStWUFdXR01NDZWVlVRWVpKZmUlGRkZCckbymlatd/UeQ3LAarZtLeU1iJC/xxBP+qSam5u5ePEiBoMBh8OBy+War3MTUmC2hI7kxAt1m35trKqH1GWVrqgwmUxYrVbsdjsWiwWr1UpGRgaFhYXU1taydu1aVq9ezcqVK8nOztZKB1X6o+JOQtSfa/J7udNz7/S4pc4dLXE8Hsfv9ye4TcLiwmw2JwSF9ALSN4lT2Vp2u53MzExyc3MpKSmhsrKS6upqysrKqKuro6SkBIfDgdlsxm63Y7VaMZvNWrFBKkkY97qe6n3C99wmYhHto0MkEsHpdJKdnY3T6cRut5OdnU1GRgYWi4WsrCxcLhdOp5Pa2loKCwspKSkhNzcXu92u5SErsSbnK8PtW0FC+rnNnT5z5gzj4+MS+VuEJGduGY1GrTez2lZSbWvUZXU9MzNTqwa6kyCT862TX1OYH24TsSAIiwvxgQRhkSMiFoRFjohYEBY5ImJBWOSIiAVhkSMiFoRFjohYEBY5ImJBWOSIiAVhkSMiFoRFjohYEBY5ImJBWOSIiAVhkfP/AUn8F1x9u0PuAAAAAElFTkSuQmCC)
Is the given figure a polygon? Explain why or why not
![](data:image/png;base64,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)
Maths-General
Maths-
In a figure, some segments intersect more than two segments. It is
In a figure, some segments intersect more than two segments. It is
Maths-General
Maths-
Solve x − 11 = 2x + 9. Write a reason for each step.
Solve x − 11 = 2x + 9. Write a reason for each step.
Maths-General
Maths-
Tell whether the figure is a polygon and whether it is convex or concave.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFgAAABcCAYAAADqBHIiAAACD0lEQVR4nO3dMY6CUBRG4fvASGLEwo7WymW4AvZgaeEW3IeLsNcduAN1A3YmVBYQeNOZTHzOaDK/yOR8Jbe5OYlA4QvOe+8NMlHbC/x3BBYjsBiBxQgsRmCxXujiarWysiwtSRJzzr17pyDvvRVFYYvFwqbTadvrPC0YuCxLWy6XNhqN3r3PQ71ez9brtRVF0fYqLwkGTpLE0jS1NE3fvc+PBoNB2yu8jHuwGIHFCCxGYDECixFYjMBiBBYjsBiBxQgsRmAxAosRWIzAYgQWI7AYgcUILEZgMQKLEViMwGIEFiOwGIHFCCxGYDECixFYjMBiBBYjsBiBxToX+FMO5TwreEbjU9V1bdfr1aqqsqqq2l7nxjln/X7f4ji+m3UqcJZlttlsbLvdtr3KTRRFdj6fbTab2Xw+v5t3IrD33uq6tjzPLc/zttf5Jooi2+/3djqdgvNOBHbO3X5+n3gPjqLHj7JOBDb7zLDP6NxbRNcQWIzAYgQWI7AYgcUILEZgMQKLEViMwGIEFiOwGIHFCCxGYDECixFYjMBiBBYjsBiBxQgsRmAxAosRWIzAYgQWI7AYgcUILEZgMQKLBf/h3jSNee+Nr1H+zjlnTdM8nAcD13Vtu93OhsOhbLH/Io5jOx6PNh6Pg3MX+mjq4XCwy+XS2XMRbZhMJpZl2d31YGD8HR5yYgQWI7AYgcUILPYFFZNd/b9MrKwAAAAASUVORK5CYII=)
Tell whether the figure is a polygon and whether it is convex or concave.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFgAAABcCAYAAADqBHIiAAACD0lEQVR4nO3dMY6CUBRG4fvASGLEwo7WymW4AvZgaeEW3IeLsNcduAN1A3YmVBYQeNOZTHzOaDK/yOR8Jbe5OYlA4QvOe+8NMlHbC/x3BBYjsBiBxQgsRmCxXujiarWysiwtSRJzzr17pyDvvRVFYYvFwqbTadvrPC0YuCxLWy6XNhqN3r3PQ71ez9brtRVF0fYqLwkGTpLE0jS1NE3fvc+PBoNB2yu8jHuwGIHFCCxGYDECixFYjMBiBBYjsBiBxQgsRmAxAosRWIzAYgQWI7AYgcUILEZgMQKLEViMwGIEFiOwGIHFCCxGYDECixFYjMBiBBYjsBiBxToX+FMO5TwreEbjU9V1bdfr1aqqsqqq2l7nxjln/X7f4ji+m3UqcJZlttlsbLvdtr3KTRRFdj6fbTab2Xw+v5t3IrD33uq6tjzPLc/zttf5Jooi2+/3djqdgvNOBHbO3X5+n3gPjqLHj7JOBDb7zLDP6NxbRNcQWIzAYgQWI7AYgcUILEZgMQKLEViMwGIEFiOwGIHFCCxGYDECixFYjMBiBBYjsBiBxQgsRmAxAosRWIzAYgQWI7AYgcUILEZgMQKLBf/h3jSNee+Nr1H+zjlnTdM8nAcD13Vtu93OhsOhbLH/Io5jOx6PNh6Pg3MX+mjq4XCwy+XS2XMRbZhMJpZl2d31YGD8HR5yYgQWI7AYgcUILPYFFZNd/b9MrKwAAAAASUVORK5CYII=)
Maths-General
Maths-
Is the given figure a polygon? Explain why or why not.
![](data:image/png;base64,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)
Is the given figure a polygon? Explain why or why not.
![](data:image/png;base64,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)
Maths-General
Maths-
The given polygon is
![](data:image/png;base64,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)
The given polygon is
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)
Maths-General
Maths-
Maths-General
Maths-
The given polygon is
![](data:image/png;base64,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)
The given polygon is
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)
Maths-General
Maths-
Solve 7x − 10 = 4x + 8. Write a reason for each step.
Solve 7x − 10 = 4x + 8. Write a reason for each step.
Maths-General