{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-06T14:01:22.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-04-06T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":59249,"title":"Compute the total length of lines between all vertices of a regular polygon","description":"Write a function to compute the total length of between all vertices of a regular polygon inscribed in a unit circle. For example, a square in a unit circle would have side length of  and each of the two diagonals would have a length of 2. Therefore, for  the total length is . In the hexagon below, there are 6 lines of length 1 connecting adjacent points, 3 lines of length 2 connecting opposite points, and 6 lines of length  connecting points two away; therefore, for , the total length is . \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 442.4px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 221.2px; transform-origin: 407px 221.2px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 105.4px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 52.7px; text-align: left; transform-origin: 384px 52.7px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 358.892px 8px; transform-origin: 358.892px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the total length of between all vertices of a regular polygon inscribed in a unit circle. For example, a square in a unit circle would have side length of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"23\" height=\"20\" alt=\"sqrt(2)\" style=\"width: 23px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 176.6px 8px; transform-origin: 176.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and each of the two diagonals would have a length of 2. Therefore, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"n = 4\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 56.7833px 8px; transform-origin: 56.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e the total length is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"66.5\" height=\"20.5\" alt=\"4(1+sqrt(2))\" style=\"width: 66.5px; height: 20.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 224.833px 8px; transform-origin: 224.833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. In the hexagon below, there are 6 lines of length 1 connecting adjacent points, 3 lines of length 2 connecting opposite points, and 6 lines of length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"23\" height=\"20\" alt=\"sqrt(3)\" style=\"width: 23px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 133.408px 8px; transform-origin: 133.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e connecting points two away; therefore, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"n = 6\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.725px 8px; transform-origin: 58.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the total length is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"66.5\" height=\"20.5\" alt=\"6(2+sqrt(3))\" style=\"width: 66.5px; height: 20.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 328px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 164px; text-align: left; transform-origin: 384px 164px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"438\" height=\"328\" style=\"vertical-align: middle;width: 438px;height: 328px\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA2sAAAKQCAIAAACO9XWpAAAACXBIWXMAABcSAAAXEgFnn9JSAAAAB3RJTUUH5wwDABgnN8HuRwAAACR0RVh0U29mdHdhcmUATUFUTEFCLCBUaGUgTWF0aFdvcmtzLCBJbmMuPFjdGAAAACJ0RVh0Q3JlYXRpb24gVGltZQAwMi1EZWMtMjAyMyAxODoyNDozOU2I0TIAACAASURBVHic7N3BayRb2uf3o+G9dlYPtJV5N1fwQkeinmluvzBDN1czuHmhQjZUGQwevLHrNYOVuRr6LmZgFuNFD68kM43B4JldNbPKTG9c+A8wVG0Utemx0eU2HvAt3nEnGRcG1JubKQZ8K3GPkRdHOjo6kXEyIjPOiYgT38/iUtKVlFkqKeOJc57ndw7u7u4EAAAAUNhfq/sJAAAAoGWoIAEAAFAOFSQAAADKoYIEAABAOVSQAAAAKIcKEgAAAOVQQQIAAKAcKkgAAACUQwUJAACAcqggAQAAUA4VJAAAAMqhggQAAEA5VJAAAAAohwoSAAAA5VBBAgAAoBwqSAAAAJRDBQkAAIByqCABAABQDhUkAAAAyqGCBAAAQDlUkAAAACiHChIAAADlUEECAACgHCpIAAAAlEMFCQAAgHKoIAEAAFAOFSQAAADKoYIEAABAOVSQAAAAKIcKEgAAAOVQQQIAAKAcKkgAAACUQwUJAACAcqggAQAAUA4VJAAAAMqhggQAAEA5VJAAAAAohwoSAAAA5VBBAgAAoBwqSAAAAJRDBQkAAIByqCABAABQDhUkAAAAyqGCBAAAQDlUkAAAACiHChIAKpAu1+lyXfezAABP/qTuJwAA9ZPFX7r6mC0Ev12t0+XHaPAsma+ifi+Z36r/FQ166nMN8fFhulrL/xsNelG/J9+M+j0hRDR49qN+79vV+kf9nvwi9//tP5N/AICGO7i7u6v7OQCAc7LOS+Yr+QdZF8qqzvgYF7K1pvEeWWUm81tVQcbHffmH58eHDx9AfQmgKaggUdRPfvKTup8CUMgff/DpH599+vHTvyGE+P7Tv/nvn336xx98+sn338n/JYSQf1ZvbvTJ999Z/q/Fxk/MvtP+HuP/qjefffdv1PP/wXf/9598lH/4Nzs8T8C/v/qrv6r7KaAyVJAo6ic/+Qm//GigdLlO5ishxOz6Rt841v8rHlb75HsKfmW1+2xZO9z4WdmP3/gp2WVI+3PTP0D9WT5JuS1+/+agp9YvgebgIhIY+iABtEm6XMtuxffz23T5UW77ZtsT7/saH+qtjZWZKuDkVxBCpKu13qcoP+zsaZ9iuvoY9Z9ZvprxTvmE5efKSld5P78VQqT9j9Hgmfq7GNWnXsLq/8v4q2X/+vHxYTR49vz4kIISgAusQaIobh9RC9W/OLu+UTVWdnExj7FWJ2tEWVqJRs6vGDM9sl9TPK0RdZZvgv5dEkKcfXHECiVqxEUkMKxBAmicdLmeXt8IIS7fLcTT3Vt9NW7jvrA+9fz8uC9rJqENpjTc42j2sfm/9OJSLsHK5Ul9mjv7PVHvmX11ow/rxMf9s5PPRHu+MwAahTVIFMXtI5ySVeP7+SpvsU3a2Cwod2xlMk7X1tjUGq0QQu3sq/+b3RbXOymFEGpd9vlxP/7xYae+dfCMi0hgqCBRFL/8qJzsEUx+f3v5blFwQkXVPbLiadQGdHPI6SJLq2gW3ZNwjYtIYKggURS//KiEKm6m1zd508fZIeX4uP+jfo9Fst2oSv3b1X17gBAiPj609FaqavL8xTBdfeTbjv1xEQkMFSSK4pcf+5Cb1LOvbsTDzunGsWX1Znx8eHZylC7Xo5MjVhmrJYt4OaajCso8esL52clnlJLYGReRwFBBoih++VGWXPqaXf9BlSmW7VRZqZx9ccRCo09qefL9fKXSNMWmjkn1fv6NsBsuIoGhgkRR/PKjIDUTo1ckOqM6oSJpiOxm99aDv/m3Q3FcRAJDBYmi+OWH3cZh6rzR6bOTIyHE6OTI61NEYcYsjuUj1eIx/Qaw4yISGCpIFMUvP/JcvF3IBseNrY360S9nXxxdvBzW8yyxK1lNykR3+0fKf2JKSWzERSQwVJAoil9+6FRVIdME82qL+PiQoMFgFBzBkeXj+Ysha8zQcREJDBUkiuKXH9L0+saexSPobgyd6piUa8/iafSSmrkRD0cpUkpCcBEJDhUkiuKXv+Nkm2P2mEFFVo1CCDYxO0UP+Mz7GJnoSRhQx3ERCQwVJIril7+b9PmYvEXH0cnRj/o9CseOk6WkvMfIG8CnF7bLuIgEhgoSRfHL3zV6BnjeyTHnL4YcfwdDulxfvlvIo7qNnxx5EI487YYlya7hIhIYKkgUxS9/dxSZrWZOAnb23W2WJDuIi0hgqCBRFL/8wVOLjnnzMXK3mus9SrGEAel1JF0QweMiEhgqSBTFL3/A5LajHK8WT5ceyYtGVTbeoujNtecvhtyfBIyLSGCoIFEUv/xBSuar8ZsPIlM1qt1qNhlRLbUkKYTYGCMqM0T5qQsPF5HA/EndTwBADYzVIGNxMV2uZZsji46oXDTojQZHo5MjlQ9lnJMuhLh8t/h2taZlAmgy1iBRFLePYdBjHbPkidWMyMCb7M2MsRzOKngwuIgEhgoSRfHL33bqUm0cQiiv2WwdokbykJvLt4uNh2TK9B8ZHVXXM8T+uIgEhl1sIHz6dqHINJ9F/d7k1eck86FG0aAXDXrxl3051BWt1vpKZLpaJ/PbdPnx+XGf5gqgIagggZAZe9bG4cU0O6JpokFv8urzjb0Wyfw2md++n6+oI4EmYBcbRbEB0S554Y6qdmTDGg1nCSiVTRfUke3CRSQwVJAoil/+5kjTNEkSIUQURXEcm/83/zRC5hLQOpbZr7w6Mk1TIcR0Oo2iaOPvCGrBRSQwVJAoil/+JkiS5PT01Hjn+fn5xcWFeHqtZaYVIdkY/SPpP9tpmk6n08vLyycfEEVnZ2fydwQ14iISGCpIFMUvf+0uLi6MS6MSRVH89/9R0vs7IrPuyJA1gpGXJyCEiAa9+D/4dvpP/pu8z1U3WqgLF5HAUEGiKH7562UpH+/98LPoH7xO/7//SL2DdUcEKbc/8p//p/ZPpIisFxeRwPy1up8AgO2SJNlSPgoh/t0f0v/tX6q3zl8MF7/6BeUjwhMNehcvh4tf/eL8hfbj/b/+462fOJvNZAMxgP2R5gO0wGw2K/Rx/9fb6G/93SiKzl8Mhfg2Sb51/LyAOsX/oYj+/P+9P2L73/6fWz8+TdPLy0sGa4BKUEECLVB84ST9X/77VIjkf3D4ZID2kmPaAPbHLjbQAlz2AACNQgUJAOgKbsaAqrCLDbRA9Lf+bvqv/4+iHxxFLp8L0DjF68L4v/ivXT4RoEOoIIFGS+ar8ZsP6V//iRBFK0ghxGQyYVwAXZCm6Xg8Ll5BJvPb4a9/S8oVsD92sYGGSpfr09dfn77+Xbpciz97KX74WdFPTNPT09NSl1WgddI0vbi4GA6HJQJ6fvhZ9Bd/KYSYfXUzfvMhe9w2gOJIFEdRhMH6dPF2YRwEHP0/f5X+yy9LfREOc0OotgfsbxL9g9fpX/+JepPjmjzjIhIY1iCBZkmX6/GbD/L832jQe3x/gQVFowNSpt8Nh0OKSAQjSZLhcJgtHwu1//67P+i/U8n8Vi5GVvoEga6gggQa5OLtYvjr306vb4QQ6XItd9miQe/qy5+Jt//j1k+Pouj8/Nx4p6ojOY0DrSbbM05PT427Kfljf3Z2tv1L/Kv/efLq89HJkaoj5QGJ6pcOQHFUkEAjqKVH+aa6wsnDCWf/bPuJbUKINE1Ho9FisdhYR47H44uLC5oj0TqWlsfz8/PFYjEajYpsaqdpOvtn//j8xfDsiyPjf43ffBj++rd0RgLFUUEC9Uvmq/Gbb/RVkHS5lkuPFy+HSZJMp1P1v0ajkb5hpxeLcrkxiqKLi4vFYmGMY8v/e3p6yqY2WkTWjtkCMY7jxWIhf5jH47H+v0ajkfpzFEX6m0mSpP/6f794Obz7n/6T+PhQ3qrJX7d0uT79zdcXb5/0HwPIQwUJ1EwOXCfzW/mmvKRNXn2++NUv4uO+EMK4dhrri8YFcjqdynWaKIqurq4mk0lec6RelQINZGl5nEwmV1dX8mc7SRJ9bXI0Gj1//lz/+Oxdlvzz5NVP1WKkWn18P1+xGAkUQQUJ1EY2YCXz2/j4UL0z6veuvvzZ6OT+wmZcHc/Pz7MTA0ZNqa/HjEajq6urvE3tbEsZ0AR5LY9C27ZW7zFKzMlkYnyKrDjVm+p3Khr0Ll4OF7/6hTFeI4RgMRLYigoSqIHMerx8t5BLHcn8Vk5en78YXn35c7n0KOnloNyezn414wKZpqm+vqg2tbN1ZJIkbGqjUewtj3d3d8aPq1p0l7LloxTHsX7r9eTXatC7+uXPz18MxcNKpBxiu3y3IDMSsKCCBHxL5iu59KhfnOLj/tUvf25E0xmDL3lXRyFEHMd61+PGjT9LcySJP2iCvJZH2ZKx8UdU/+A4jvW1SeMrGHvZ+ldTi5H6boAQYnp9c/qbrxnTBjaiggS8uni7yObPnb8YTl59rm+lScbV0XJQYfYCacwWqA+zN0eS+INapGmaVzvKbeuNP/zGLVZ2lV03Go30LzKbzcxUoEFv8uqn5y+GT3JYl+vxmw/saANZVJCAJ3LnevbVzdOlx0M5cJ39eKMEtF8dRabENBoodZbmSI5DhGfybmc4HOa1POatjuszMWLbLZZkNHtsKFgHvYuXw6tf/lwvIqNB7/Ld4vT11+xoAzoqSMCHZL46/c3X6WqdKR+fdD0+fnwmwWfr1VEUuEAqlubI6XRKcyT8kNvW2VgAPaknj3GLZenxUPKCC8wPe+iMVFk/Qoh0RdYP8AQVJOCc3LlWZ8wIIdTQTN6n2BN88hh72ZZlSPXxNEeiFhcXFwcHB3ktjyqpJ0+RjIKNjF+lvLssuRh59sVRNOjJ5kg1XkNbJCBRQQIOqZNm9NoxPj7MDs3ojKWR4ldHkckb39gNaZCj3NlHoTkSLshmibItjwbj04vf6mSTfSzBqHJH23jn+M0HjtIGBBUk4I7cuVYrFjKv5+yLo6svf54dmtHpV8e8BJ882ZGaIsnh8lFojoRTWw8nLPijXjDBJ8/W4AKdGq/R3yOTXNnRRsdRQQJOTK9vTl//zmi9ty89SsUTfPIYTZOXl5cFiz+1qZ2NRKE5EnsqcjhhQfrKuiXBJ0/B4ILHjx/0Ll4OJ68+v//4h1/q2Vc3FJHoMipIoHrZfS7Zm29fehQ7jZdulHeMWxHGkXHG16E5EmVZDics0vJoKJtRsFE2uGDrXdbo5Eg/vUa2Rc6+ujl9/fUOTwAIABUkUCUZ2ZPMV/o7jWuPRSVXR5FZmNk6UrPxK+RtatMciYLyDics1fKo2y2jYKPiwQVKNOgtfvULPbo1Xa6T+S1BP+gmKkigMrLxUR42o64xk1efq/2vLZ/+tM7b5+oo9luGlCyJP3Ljz9hwB5SqWh4Nu2UUbFQw2SdrdHJ09sWRyvqJBj2CftBNVJBANS7eLi7fLrJp4aOTo4Jfwbg67tABqcvOnO62amhP/KE5ElmWwwl3rh3FfhkFGxkFaJHgAuni5VD9XsvtbLmjTdAPOoUKEqjAfWTP6rF8jPq9vLTwjfYcL90ojuOyyT55th6HWGTiG8GztDxOJpPFYrFPzbdPRsFGxl1WweCC+88d9K5++XPj/pDzD9EpVJDAXmTjY7r8qL/Tnha+kTFAU3a8dKPszOmeF13LcYjj8Tjb7obuyGt5FA/b1nv+SO+fUbBRqWQfgzwXwDi6hvMP0R1UkMDu0uV6/OabZH6bzG/lm9GgN3n1+dbIHoORtrhPd5fBaKaczWZ7FnmW5sgkSdjU7iBLy+NoNLq7u6vkR6KSjIKsssk+5qc/HF2jvzOZ347ffFPJ0wOajAoS2JGam5FvysDwyavPizc+SsbeWYVXR2mHmdOtOA4RkqXlUbY9VPIoVWUUbJRN9inbMXzxcqjCFu7XI1fr4a9/S1skwkYFCewima+MwPCo37v6ZYnGR8W4OlZ10VV2njkt8pXtzZEk/gQsTdO82nG3pJ48FSb45Nn/Lku2RcbHh+o1QR6iTVskAkYFCZR28XZx+vp36s37o663nVW4kbHgsf946UY7z5wWYWmO5DjEIMmt3uFwmNfyWO0KdIUJPnmMvezdggvk+Yejk6No0FN1JEUkAkYFCZQzfvPh/dPA8Pi4X3ZuRjGujo42f/eZOS349fOaIzkOMTBy2zr787PD4YRFZDMKXNxiCSFGo9H+wQVytka1RcrGaIpIhIoKEijh9PXX0+sb2fsoVxzPXwwLBoZnuUjwybPPzGlBqo7kOMQgTafTg4ODqg4nLMhI8Kkko2CjqoIL5GzN+Yv7WTo1oG0ccwoEgAoSKGr85oOamxH3iY8/Kzt2/eQLauscVSX45Nlz5rTUA8lNbZojg6EaEoz3V97yaHCU4JOnwuCCi5fDqy9/Jh7uM4UQ0+ub4a9/u+9TBJqEChIoRK4+6u85fzncYW5GcTpeulF25tRRh6JcjKQ5MgCODics+NCOEnwsKgwuiI/7i1/9Qn/PQ3YsUZEIBBUksIV83X+y+jjoXX35s33KRw/jpRu5SPbJoza1s2urNEe2Ql5Sj6OWR4P/WyyR2Sjf+SzQ+6826F398smAnTxBmyISYaCCBGzS5VoPfRT3E5ef71M+Ci/jpRu5S/axPOJkMrEk/lBHNpDlcEJ3LY/GE9B/Mr3dYomnv4z732VtKCKX68t3C4pIBIAKEsgly0f9tX50crT41S/2LB+Nus1Rgk8e4+EcdUMaLIk/so5kU7sh8g4ndN3yaDDqNtcdkDojuGDPZUjxtIiULybJfDV+8w1FJNqOChLYLJmvhr/+bdR/PGciPj7ceexaZ4yXel6Ey47UVJvsY3ncvMQfWbUYYxPwrMaWR4PPjIKN4jiu9i5L5Y3LN9PlWm5nJ09zwYB2oYIENkjmK5m+oQ68lpnh+39lz+OlG3lI9sljPw6R5si6WA4n9Fk7Sj4zCjaqKtnnydcc9Cavfnr+YqgWI9PlevzmA0Uk2osKEjCpEwtV91JV5aN4Wq75GS/N8pbsY3kCHIfYEJaWx8lkkk33dK2WAZqsCpN9lGjQG50cqbxxIXsi3y4oItFSVJDAE7J81N9TYfl4enqqv1nX1VFsSvbxX7RxHGK98loexcO2tf/FP6OnwucATZaL4AJZRKq8cSFEMr9lJRItRQUJPEqX69PXv1NLj1G/Nzo5qqp8rHG8dCOfyT55OA6xFpaWx9FodHd3V9e3vSELkJKj4AJVRKrXGbaz0VJUkMA9OSAZHx+qGclo8KyS0RmpxvHSjYy97FqWIdUzsTRHkvhTLUvLo2wtqOVZicxPoOeMgo2MEraqZo+N29kUkWgdKkhAiIfN62R+q868Hp0cVVg+1j5eutFoNPKf7JOH5kjX5Lb1xtrRZ1JPHuOJNeG2wUj2qTC4QD8+W83WUESiXagggSeb1w/BPf0Ky0eRSfDx32G2kYuZ0z3RHOmCHJZqQlJPnmbeYgnHwQWyiFSbHhSRaBcqSHRdulwPf/1b8RD2my7X1a4+imYk+ORxMXO6J5ojqyW3rbOLZ34OJyyo9gSfPK6DC2QRqUdFjt98IGwcrUAFiU6T5aN+5lhVseGPD/F0SKWuBB+LJozUZKk6kuMQd5YkycHBQY2HExbUqAGarGxwQbV3WaOTo+dPj7ni7Gy0AhUkOk1ffZS9j1VNXisNvzqKzK56jSM1WbLWsRyH2Jyn2igqqcd4f0NaHnVJkjQnwSePcZdV7TKkms6WK5EybJwiEs1HBYmOSpfr09dfqzejQS/q96pdfRTNS/DJY+zTNWQZUuI4xFKaczhhQcYPWwNvsYT74AJZRD4/7uvb2RSRaDgqSHTU+M03+pvxcb/y1UfRvASfPMbMaaOWIaW8xB8hBMchKnlJPY1qedQZAzRNSPDJ4zq4QBaR6s/ivifyG+snAXWigkQXnb7+WgX3CCEqH52RGjteulEcx81J9smzNfGnqrCV1rEcTtiolkeDkVHQwBpXyY7UVP7Dps7OlkeqRoNeunqyVQI0ChUkOkeWj+rNaFD95rXU2PHSjbLRd429nFsSf2RmTac2tfMOJ2xgy6OhyRkFGzlN9pHkSmQ06MluyHS5lsceVv5AwP6oINEt4zcfjPJx8atfOHmgxg/QZBkXyCYk++Qp0hxZx/PyqnUtj7rmZxRkuU72uX+UQe/qlz9XO9pCiGS+uni7qPyBgD1RQaJDkvlqen2jv8fR6qOxw9XYAZqsZib75OnycYj2wwmb/xdv4y2W2JTs46JjOBr0jIOzZ1/dUESiaagg0RXJfCU3g9Tr8uJXv4ifxrBVpaVXR5FJ9jFaOZupa8chWloeG75trbQlo2AjP3dZciVSfw9FJJqGChKdII+9VqfOCCGuvvyZHiRe5WM9vTo2ebx0I6PebeZITVYXjkPMa3kUbdi21rUlo2Aj18k+jw+ktWjLnsjZVzeceYjmoIJE+ORBYfp7Jq8+d7T6KDIlV1su6kp2pKYtA84BH4doaXlsbFJPnnZlFGzkOtnn8YFOjs5fDNWb6XJ9+XZBSCQaggoS4Ru/+UamY8g3z18M9S71ak2nU3196OrqytEDOeVh5tSd8Joj7S2PjU3qyWMk+DQ8o2Cj7EiNux8qeXC2fPmKBr1kfnv6G/J90AhUkAicHL6W6RhCiPj48OLlcOtn7f5wTxN8WtTdpfMzc+qUXEnNthC0qzlSblu3uuXR0LoEnzxG76bT4IKLl8OzL47EQweOEIKQSDQBFSRCNn7zQQ5fyzXI+PjQxcEzjw/X2gGaLD8zp07JxciWNke2OqknTxsTfCx8BheMTo70Aw+T+S1TNagdFSSCZWT3RP2e0/IxSZKWJvjkaVeyTx61qZ3dLW1sc2TrDicsKKRbLJHZgnd6lyWPq9GH/y7fLSgiUS8qSIRJZfdI8fHhucvNa5FpFmz71VF4nDn1QG5qZ1sGm9Yc2dLDCYtodYJPHqPZw+ldlsz30YvI9/MVo9moERUkApQu1yq7Rzp/OXQ3fC0y46WtS/DJ423m1I84jvM2tWtvjmzv4YQFtTrBJ48RXGBsRFT/cIOePpqdzG8ZzUaNqCARoPGbb/Q79fMXbstHkRkvbciC1v6yIzVtSfbJYz8OcTweG6MeHgTZ8mgIIMEnj+fggtHJkQyJlC9x6Wo9fvON00cE8lBBIjSnr79O5rfqvnx0cuR0+FoENF66UauTffLYE398NkeG2vJoMDIK2pjgk8dnso80OjlSeWRyqsbIuwX8oIJEUJL5Kpnfqjcnrz53dPK1Eth4aVYAyT55th6H6HTB1dLyuLFls70CG6DJMn7rnSb7SOcvhlH/PiFSCDG9vtGnBgE/qCARDnl0of4eR+cW6oK/OorMolGrR2qyLMchjsfjjUcI7mnr4YQhLdEZnQ9hDNBkeQ4uUKPZcrMlGvRm1xx4CN+oIBEOYytn8atfuG5/DHK8dCOfM6f+WZojkySpcFPb3vJ4d3cXzLa10oVbLJFJ9jH6Pp084tNTs9nLhn9UkAjE+M0H1fsoJxY9LEAGOV66UUjJPnlcH4doP5wwvNpRZH5Ogsko2Mgojj00e8THfX00W2TuogGnqCARAqMNKOr3XE/PiKDHSzcKLNknz9bmyB1K5zRN82rHMJJ68ug/JCFlFGxkJPv4CS7ITNWsiBmHN1SQaD0jPDwauD17RjESfELqXdvI/8xpjSzNkaWOQ5TNlMPhMK/lMeDv4XQ6DTijYCP/wQVyvyU+PlRbLrOvaIiEJ1SQaL3LtwuhDc24Hr6Wwk7wyWM0enqYOa2RpTmy4HGIcts6uxAVWFJPHiPBJ9R1Vl0twQVyqiZdruVgTdTvXbIMCS+oINFuMv1RCCGbID2Eh4sOJPhYhHFYdnG7NUdOp9ODg4MgDycsqCMDNFnGq4GfjuFo0Lv68mf3jzi/Tea37GXDAypItNj0+kZPf4yPDz20P4rM1bEjC5CSsV8f5EhNlmxxyw6CZJsj1TZ39iuE3fKoMw73CzijYKNa7rLkVI3ciokGvdlXNxSRcI0KEm2VLteq/TEa9Ly1P2YTfIJfTzKEneyTRy5G2psjgz+csCDjR6I7C5BSXcEFavslXa7T5ZqGSLhGBYm2unz3eIedLtd+2h9FlxJ88hgzp8aCU9jUpnZ2cGo6nQZ/OGERRkZB2Ak+eWoJLpAJkaojXL/HBlyggkQr6fE9D9OIztsfRfcSfPIEeVh2cUUOHuxOy6PByCjoVPWsZEdq/Nxlxcf9sy+OHh+XIhIuUUGifYyXRT/pj5IxXhp8gk+egA/LLi6Koq5Vh1t1M6Ngo7ruskYnR/HxoXozXX5kLxuOUEGifeT+tdqsOa+jfBTd6+4yZGdOA072MVgOJ9Q/RnZGdurb0tmMgqy67rLUkdnyTU47hDtUkGiZi7cL/fgZD4dfS8Y+VNfGSzfqWrKPZDmccGPiT4XHajcct1gGY5vC20iNOtZV1pHpcs1cNlyggkSbJPPV+4cdmXS51k9icI2rY5aR7GM0iYYnSZK82nEymSwWC/txiGHPG2UzCrjFEvUFF4xOjqJ+T6bkCiFmX92oPwNVoYJEm4zffEhXj6+DfuJ7RObq2M3x0o2MSjrUbkiZ13N6epp3OKGqpC3HIY7H441fIQxkFGxUV7KPEOLqy5/LG+z4+DBdrk9/87Wfx0V3UEGiNcZvPsics4f0x5/5e2itMOrseOlGRrKPt5lTbywtj6PR6O7uLvvDYDkOMUmSIDe1ySiwqCXZRzp/MRRCqFO7aIhEtagg0Q7JfKXaH+XZr37aHwXjpdsEnOxjaXmUG9aWz93tOMSWMhJ8OptRsFF2pMbbP/3o5EgWkVIyXzGXjQpRQaId9ONnhMf9a/H06tjx8dKNgkz2SdM0r3YsdTihqjW3HofYXtxibWV0hc5mM2/NDKOTIz1jfHb9Bz+Piy6ggkQLyP1r9TpY1/61YIAmRzbZp72FkayAh8NhXsvjDgtIluZIeRxie5sjSfApqK7gAnlQjXozma/Yy0ZVqCDRdGr/Ws4S+ty/Ns7rY7zUIoxkH7ltnW3l3P9wKT7qFwAAIABJREFUQktz5HQ6bW9zpHGLxQJknhqDC+Lj/ujk/qCadLkmYxxVoYJE010+TTKra/9asABpVePMaSWm0+nBwUFey2NVhxOqOjJvU7tddSQZBaUYLyA+77KedkPeXhIPiSpQQaLRptc3T+N7/O1fG4sEXB23qnHmdB9qK9l4f9mWx+JkVZr9iWpdc6RRA7Wr/PXPCC4wtjjcPvSgN3n1uWwEiga9ZH5Lxjj2RwWJ5kqX68t3C9UBOTo58rZ/LTLjpVwdt8qO1DQ82ceS1LNzy2NB8ieq1c2RJPjsoMbgApkxHg3uY8bJGMf+qCDRXPL8a/HQAalvxLjGeOluWpTsk5fUs3/LY3FqUzsbf9P85kh91dY4vg956g0umLz66eNDL9fqBRbYDRUkGmp6fZMuP95Pz2hbMB4wXrqzViT7WA4nrLDlsTi5uWlJ/GlgHUlGwc6ywQXeFpuzc9mM1GAfVJBoqNn1jTxKQTydJfSAq+M+jOWoRo3U5B1O6K7lsThL4o+sI5uzqU1GwZ5qDC6Qr6Xx8aHglBrsjQoSTaS/rkWD3tnJZ94e2qh4uDruwFiGbMJedo0tj8VZEn9k7duEJynIKNhbjck+Qoizk8+S+a3c0qGIxD6oINE4MgBSX4Csa4BG0AG5k+zMab3LkPbDCRtSlikNPw6RBJ9KGGW3z2YPuQypxmjYy8bOqCDROMa5Wz4HaBgvrUocx01I9rG0PE4mk3q3re0aexyi/k9JRsHOjLssz8EF+osqRx1iZ1SQaBZ1Ao0QIhr0zl8MvQ3QiMwR2IyX7iw7UuO51MhreRQP29at+Mdt2nGIZBRUqMbgAmOkZnp9wzIkdkAFiWYZv/mgSsao37t4WVuCD91dezJaSGezmZ9yx9LyOBqN7u7u2rVs1qjjEMkoqFC9wQXxcV/O0wghokGPbkjsgAoSDaLOv44Gvfj48Nxj+UiCjwv+Z07tLY/tXTNrQnMkGQWVyyb7eGtOiAa985fD0cmRzBhPl2tOqUFZVJBoEHkCjXiIEPc5QGNcHdtbajSKz5lTubG7sXasPamnKjUeh0iCjyP1Jvuky4/qTU6pQVlUkGiK8ZsP+uuXzwVIxkvdMVaqXFwg5fZfw5N6KlTLcYgk+Dhi7GV7Di7glBrsgwoSjZAu12qARtR6BLYQIrCCo17ZZJ9qZ07ltnX2a/o8nNA/z8chGovH3GJVazQa1RVcEA16+istyT4ohQoSjTB+843+pj4n6BoJPq45mjlNkuTg4KA5hxP6pzKJXB+HqH+TSfCpXHakxnOyjxpeTJfr5Pe33h4abUcFifoZd70+AyDF0zt+EnxcqHzmVCX1bHygMFoei1PNkcb7q2qOJMHHA6Ov1HOyj/6Sq5rRga2oIFG/y7cLdQJNNPCa4MN4qR/ZmdPdevVacTihf0WOQ9z5G05GgR/1Jvs8ZqgNenRDoiAqSNRMP8BQ+F2AZLzUp/1nTvOSesJueSwuL/FHCHF5eblbcyS3WN4YGyC+k31eDIUQMiGSgHEURAWJms20AZr4+HB0cuTtoRkv9WmfZB/L4YQdaXksbutxiMV77Iwihlss14xlSM/JPvHxYTK/lVvYBIyjCCpI1CmZr9IVCT5dYdToRfbp8g4n7GbLY3GW4xBl8lGRTW2jgqED0rVscIHngHH5B5EJxwA2ooJEnZLf36qubc8JPnr5wnipH8YF0j5zSsvjnoo0R1o+nYyCWsRxXFeyjzrnMBr06IZEEVSQqM30+mb21eNt7tnJZ94emvHSuhRM9rEfTkjtWNzOxyEaAzRkFPiRDS7w+dN+/nIY9e/XIMXDMbNAHipI1EaPjYiPD+uKEGe81KetyT6Wlke2rXe2tTnSWOg1DrahRdgno990Npu5OGRoI/kifPbFkdrL9vO4aCkqSNRjen1T1xmGjJfWK5vsI8uXvJZHwbZ1RSzNkfpxiEZ3AbdY/tV4WPb5y6Hcv5aHHLIMCQsqSNRDb7LxuQBJgk8TZC+QeS2PJPVUy9IcqY5DNG6x6PHwb5/ggj3Fx30jYNzP46KNqCBRgxoXIEnwaQJjLztJEpJ6fLI3R5JR0AQ7BBdUJf7xofozQ9mwoIJEDYwMSG8LkMatPFfHGo1Go7xvPi2PfsjRePtvAau/dSkVXFCt+Lgf9XvqlBqWIZGHChK+GXe0k1c/9fbQ+kIXCT41kpfDjfMBtDz6JH8LNjZHSsZIDXwqGFzgwvnLobqxT5drjqjBRlSQ8G2mHWMYHx+qO13XSPBpiLykHiEEST21UJva2f+lmiO9PylsDy5wJz7up8uPMh5ScEQNclBBwit5CrbKrfXWAWnMMzJeWou8pB5lNpv5fD7Q5f27bE2OhDvZ4AJvS8LnL4fqVl8IwTIksqgg4ZXsgJQvTPFx31sHJAk+9bIcTrgx2QeeGRkF2c7IvORIuFZXso86okbIZJ+3dEPCRAUJf5L5Sr+pfX58aPngKh/3aV1Cgo9PWw8nrDH6Dorxbb+6uso7DnE8HhsNIXCqxmQffY8omd+yDAkDFST8SX7/WD5Gg97o5MjP4xpXRzogvbEcTqjGZYyZU5Yh/duYUWBP/KE50idjXt5bN2TUfxZr9/mz6z/4eVy0BRUk/Hk/Xwkh5OiMHlrrlHF1pHz0w3I44WQyWSwW+hUxjuNaLpCQLBkFW49D9BYx02XZkRo/3/Zo0DvT7vOT+YpzDqGjgoQnF28Xcgs7Xa7j40NvC5B6ORLHsb4fBBe2Hk6Y/SfIXiBZ3/KmSEaB5TjE8Xi88d8a1aor2UdvVZfnHPp5XLQCFSQ8+XZ1f/MaDXrR4JmfB2WAxid7y+Pd3Z2lLjSaU2ezGUWJHwUzCizHISZJwqa2a3Ul+0SD3uTV5+Jh7yhdfvTwoGgLKkj4ML2+UUHi6XItX5JcM/Z6GKBxytLyWDDlkZEa/8reYtmbI0n8cSqb7OOnYzg+7keDnty/Tua3HHIIhQoSPuh7H7XsXwsWIJ1J0zSvdix1OGGNM6fdZCT4FL/F2tocyT+cI7XcZUWDXtTvqZEaNrKhUEHCuen1jd5/fXbymYcHNW7QOQLbBbmVNhwO81oey65IGVU+IzVOGfVH2VssS3Pk6ekpxyG6YOxle1uGnLz6qQpi45BDKFSQcG6m7Xqcvxj6SRE3ro5srlVObltnZ0LjON75YGsj2cfbzGkHZTMKdrjFsjRHchyiI6PRyH9wgRG+RqwPJCpIOJc+maHxcQo2CT5OTafTg4ODvJbHq6urfZZ765o57RojwWefjAKaI32qK7jg+cNRtIJYHzyggoRbF28X6rUmXa79NEGS4OOI2qA03l+25dGirpnTTimS4FOWXD/OtovQHFm5WoIL5N6RfDEn1gcSFSTcej9fxQ83r35SxBmgcWHr4YQVLoRkZ07pqKuQMYFhSfApSy5G0hzpgf+RGhnrozaRaIWEoIKEU9Prm2R+q4LEPSxA7jxeCou8pJ59Wh7tjAsky5AVcn2LpTa1s2v/NEdWxWg88DNSEx/39Q0likhQQcIhfYZmdHLkoQlyz/FSGCyHE+7f8mhR18xp8IzvpLtbLLmpnf0JoTmyKkazh59lSH0f6fItG9ldRwUJh1QAhHhoxHbKGKAhwWcfeYcTVtjyaFfLzGnwjDrD9ZBZHMd5m9qyjmRTe2dGcIGnZcgfH2ob2bcsQ3YcFSRcUUcXyFccD1vYxngpixy78dnyaJEdqSHZZ0+1ZBRYEn/kXYox1oPi4jj2fJcV9e8PpI0Gjxnj6CwqSLji+RwaF+OlHWQ5nNBb7aiQ7FOtGjMK7Ik/NEfuxn+yj9zIloccJvPb8ZsPTh8ODUcFCSeMwDAPU9iOxku7w9LyOJlMFouF/5YAkn0q1ISMgq3HIbLMXJb/ZJ/4uB/1e0KIhzqSjezuooKEE7PrP6h2mfi473qG5vT0VH+TAZpS8loexcO2dY2BmtlkH0ZqdmD0ANSbUWA5DnE8Hm/8OYSF52Qf9WIu1wiYp+kyKkg4oZ+F7XqGxtt4aXgsLY+j0eju7q4Je4v+o+/C04QFSJ2lOTJJEja1SzGSfYxuVxfOtK4kdeQYOogKEtWbXt/oi46umyA9j5cGw9LyKLcaa3lWWST77Mn4jjUno4DjEKtiFOKumz3k+TTqRX6qpbahU6ggUb3381u5ABkNeq7LR47A3kGapnm1o5+knrJI9tmH8Q/dtLJsa3MkNwxbGck+roML5CC22mWaUUF2FRUkqqduSdPl2vUMjZHgwxHYdrLVbGMOn8+knrL8z5wGw7jFurq6qu+52FiaIzkOsQjPwQXnL4fRoCeHacRDTyS6hgoSFUvmK7m7of/XERJ8SpHb1tnFCXeHE1bI/8xpGIwEn6atLusszZEch7iV5+ACecLhffm4WrOR3U1UkKjY5duFuit1uoVtDFU0/OpYr+l0enBw4P9wwmoxUlNW0wZoilB1JMchluU5uEDtL6XL9ewrKsguooJExZL5rVp3PDv5zN0DtfHq6J/aBDTe39iWRwujS4GRGrskSZqT4FOWvLexHIfIP/1GPu+y4h8/CdkgGLKDqCBRJTmFrXpi5MieCyT4bNWQwwmrZezTsQxpYXxzWneLtfU4RJojs3wGF8THfXWwYbpcJ7+/dfRAaCwqSFTp8t3CzxQ2CT52eUk9rWh5tDBmTo1lNijGAE1zEnzKykv8ETRH5vAZXPBcWyNgI7uDqCBRpXS5lgN6QojJq88dPQoJPhaWwwlb1PJoEcex/ldgGXIjI6Og7WXW1sSftv8FK5QdqXF3lzU6OYqPD9VQNhvZXUMFicrIcTw5oOc03MEYLyXBR8o7nLCNLY8W2eg7qgdDqBkFlsQfWUeyqS15S/aRiwWPQ9lk+nQMFSQqo+fKutvCZoAmK8iWRwvjAkmyjy7sjIKtzZGB/ajvxmeyz9nJkeqGJFq8a6ggUZlk/thJ7WgK29iRYYBGCDGbzSzb1qFeUEn2ydOFW6ytxyHOZrOanlpTeEv2iQY99cqfzG/ZyO4UKkhUQyXKyn0NR1PYXbg6lpW9MMh93mC2rTcykn2M1tjO6lRGgaU5kh8G4esuS5/IFkIwkd0pVJCoxvuH21B3QeLG1bG946VOyW3rLvSGGvcPHJYtOplRkNccCW/JPtHgmXhYO/h2RStkh1BBohr6GqSjs7D1EiGA8dLdyJbHjW1/cRzf3d1159uSHanpeLJPZzMKLM2RUnd+KQx+kn1kz5IM4nDx9dFYVJCogHEoqovXkel0GuR4aSl5KY8qqaeWZ1UjbzOnrWAk+HRhHVq3tTmyg3VkdqTGxTch6j+7//rLdTJf0QrZHVSQqMB7bYbGQwdkYOOlRcg5040V0mg0Crvl0cLnzGnDhZrgU5a8m8pWz509DtHohXURXBANevrhNJdvF9V+fTQWFSQqoN90Pj8+tHzkbro8QCOrIsuV7/nz536fUbN4mzltsrATfHaQ90vRzeMQPYzUnL+871yKBr2UVsjOoILEvowt7MrXII2T68IeLzXIbeuOt/dtRbKPcYvV2QXIgrp2HKLR0uDiLkvfyOZwmu6ggsS+5HlW8s+jk6PKmyCNgqAjC5D2wwkZQtd5mzltpmyCDz8euiiKFotFx49DNJo9Kr/LigY9PYKDTJ+OoILEvpLf37obwTPGS7uQ4NORwwmr5WfmtJk6mOBTlrzvshyHGPwthxFcYGzsVEL1L0WD3nvWILuBChL7uny3UGuQlR9FY4yXhr1g0LXDCSuUHanpyNZ/ZxN8yrIfhzgej/NCsoLhOrhArSOky7VMiETwqCCxl+n1TXx8qF47qm2C7NR4aV5STxzH1I5FdDPZx8go6FqCT1n2xJ+wmyNdJ/tE/WdqI5tMn46ggsRe3s9vk/mtXIOsNki8O+Ol9pZHuh4L6mCyT5czCvZhOQ5RbmqHuoBtvIpWm+yj9zKly/Xs+g9VfWU0FhUk9pIuP6o/V9sN2YWrY17Lo3jYtg61aHbEWIQLe6TG2KnvVEZBJfKOQ1T5WUFuajsNLtBbIVmD7AIqSOxFj/6qcAs7O14a2NXR3vLYqcMJq+V65rQ5unCL5Zq9OTLITW0j2cfoo91TfNyX0eIy00f1xyNUVJDYnUyClEuP0aBX4Rpk2OOl9sMJw7to+dSRZB/j79WFjAJ3unYcolEuV9jsIePEZWc8Z2R3ARUkdqffaFa4ABnweKml5ZFt66p0IdlH/0sFn1Hgx9bmyGBuRYxkn2qDC6J+Lxo8k9cF47AJhIcKErubffX4AlHhYYZGgk8Y46WyucrS8kgRUBXXM6e161RGgWeW5siQjkN0F1xwdnKk9qb0CwSCRAWJ3eltLlWtQQZ5dcw7nJCkHkeMxtlqZ05r15GMgrpYmiODOQ7RXXCBuhDQCtkFVJDYkbFDUUnXS3gJPhcXFwcHByT1+BfqYdkM0PgRfHOk8epaVccwHZCdQgWJHaXLtZqh0U9E3YdxdWz1AqTc9qLlsS5G/0MYIzXGYXThZRQ0jWwZzA4qhdEc6eguK+o/VpC0QoaNChI7ej9fyR2KdLmupAkym+DT0vU5DidsiPCSfYy/AguQHsjFyCCbIx0FF5y/vD9aglbI4FFBYkfJ/Fb+YXRyVEkTZBgJPhxO2BzGzKmxgNc6RkYBCT4+qU3t7GBfq5sjXQQXRP1nMtAnXa719UiEhwoSu9CTIJP5av/GlwASfDicsIFCOizbyChoacnSavKeJPu73N7myOxITSV3WeqoWyEEh9MEjAoSu5OtkJUsQOr3vsbZdM2XdzghLY+1C+aw7CAzCloqjuO8Te02NkdWfpcVDXrxQ19TMr9Nfn+75xdEY1FBYhfvH7awKwlraO94KS2PzZedOW1d11p4GQVtZz8OcTweGxV/k7m4y3quLSu8Zw0yXFSQ2IW+c73nGE17x0sthxNSOzZK25N92nuLFTZ74k+LmiONbZ/9R2riH99fFOQ5h/t8KTQZFSR2JFcf99/FbuN4qaXlcTKZLBYLWh4bxUj2MZpuGy6bUdCWW6yO2HocYivmt6oNLoj6z4QsH5frqN8jVzxUVJAorcIscePq2Pzx0ryWR/Gwbd2uDs7uMO5MWtQNGUZGQfAsxyHmHWfaKNnggn3usmQrpCwck/ltuvq4/zNEA1FBojT9rKo9FyD1C3nDx0stLY+j0eju7q7JTx7GBbKqmVPXAsgo6A5Lc2SSJM3f1I7juNpkH7W4wDBNqKggUdq3Wl/Lj/aI+2rReKml5VFuYNXyrFBKG5N9jAQfVribr73HIWZHavZ5qvowzbe0QgaKChKlpcvHLQnVMb2DVoyXpmmaVzuS1NMurUv2adEtFgxbmyOb2YlrdNnOZrOdN9/jHx8SCRk8KkiUlq7W0aB3fyh2/9luX6T546WywhgOh3ktj41dS0CebLJPMy/kggSfIFiaIxt7HGJVwQVR/5naxWaSJlRUkChnen0jZ+tknPhuYzTNT/CR29bZVjkOJ2y7tiT7GLdYLEC2lKU5spnHIVYVXCAHsdWfWYYMEhUkSpNrkGKPMZomJ/hMp9ODgwMOJwyVsZfdzGXI1mUUwE7Vka04DtF4Qd75Lmt0csQwTdioIFHO+/mtPou9A+OmtjlXR7W1ZLyflsfAjEajamdOK2dcsxtVXmBn8i40+4rXtObIbLLPbsEFP3pIgoz6PYZpgkQFiXL0zYjdTqMxxkubcHXkcMJOyY7UNCrZhwSfgMlXvOY3R1YSXKDanJI5C5BhooJEOfrq4w672A0cL81L6qHlMWBG622juiH1NVHjuDmEQW1qZ/9xG9IcWUlwgd4KSR9kkKggUc4+J9A0bbzUcjghLY/Ba2ayT/MzClAVuVmcfZ1pSHNkNrig7OKokdTBRHZ4qCBRgjzPUBWRZavJ5lwd8w4npOWxO4zlvSaM1DQ/owCVi+M4b1Nb1pE1bmrvGVwgzzYUD1cKzjYMDxUkSpM5PqOTo1KfZVyh67o60vIIxViGrH0vu8kZBXDHkvgj73WN5h+fT6ySZB/x9CxcBIMKEiXIQWwhRLpclz3P0Lg61tIBaTmckNqxg7IzpzUuQ5Lg03H24xDrao40itqyzR7R4Jl4WHSgggwPFSR2VOo8w9rHSy0tj5PJJJvTho6I47ghyT76QzckowD+bT0O0XNugHGXVTa4QOV1pMs1gT7hoYJECepE7LI3lMYAjc/x0ryWR/Gwbc2sa5dlZ05rKd0amFGAGlmOQxyPx54Tf/ZJ9tF75RnHDg8VJMq574lerotH+RhXR2/dXZaWx9FodHd3xzIPRKYldzab+e85a1RGAZqgOcch7pPsY4xjIzBUkCjqjz/4NHnogxSFB7HrSvCxtDzKTSIPzwFtUe9h2c3JKEDT2JsjvSX+ZJN9incMqytFulx//+nfrPqpoU5UkCjq42CXX37j6uihdEvTNK92JKkHG1U4c1oWCT7YamtzpIcf193usqJBT+5WqfNpEBIqSJSgXgLiYucZeh4vldsrGxPUSOqBnbHy520ZkgQfFGRpjvRwHKKxl118GVJ2zzOIHSQqSJQgQxmiQU9mNGxlXB2dFnBy2zo7J8jhhCgim+zjYejVWOwkwQd29TZHjkajHYILosEzufQQ9XsfP/0bjp4bakEFiaK+//RviIdg2CJhkN4SfKbT6cHBAYcTYk/7zJzuRn8IEnxQkKojPR+HmB2pKXKXpS4Wyfz2j88+dfHEUBcqSBT1xx88/vIX6WjR71AdJfio7Rvj/bQ8Ygf7zJzugAQf7EPeIVuOQ3TRHGn06V5eXm7dOidLPGBUkCih+InYrsdLOZwQLmRnTh31ltWVUYCQbD0O0UVzZNmzQPWLxUdmscNCBYmi/v2zT+WtZDTo2VO+XI+X5iX10PKI/flJ9iHBB1XJS/wRbpojjQ2lrSM1Uf8ZU9ihooJEaXKexvIB7sZLLYcT0vKISnhI9jEuuiT4YH9bE38qrCPLLkOqpYeqngAaggoShSTzleyD3Brr5Wi8NO9wQloeUTnjnqfybkjjiksHJKpiSfyRdWQlm9rZ4ALLXdb9IPagly7Xf/zBp5xtGBIqSBSiWqG39kRXPl5KyyM8My6QBWdOC/KWUYBu2tocWckLZhzHxZN9RidHj4eZcc5hQKggUVqUH+VT+Xip/XBCakc44i7ZxxigcZFRALg+DjEbXGD5gjJUXGINMiRUkChEX3q0xIlXOF5qaXmcTCZsW8MpR8k+xmwsAzRwyulxiEb/7mw2y9siV5eMT77/jmSfkFBBopBvV+tPvv/O/jFVjZfmtTyKh21rlm3gQTbZZ8+RGmM3nAEa+OHuOMSCwQU/6t93z//xB5/GPy50Ii5agQoSpW08kKaSBB9LyyNJPfCv2mQfEnxQF0fHIZYNLvjk++9m13/Y4YHQTFSQKCRdfrTPYu+f4GNveSSpB/4Ze9n7LEMan8sR2PDPRXNkkeACdcnQDzZDAKggUUi6sjWvZMdLS10d5WbKxtqRpB7UazQaFZ85tTB+vFlNR11kK3n2Hma35sgiwQX6wYZM0oSEChLlbIwTNxJ8ivcpktSDhis1c5qHBB80ilyMrKo50l1wARqOChKlGYFeOyf4cDghWqH4zGkefeWSBB80hNrUzv5AlmqO3BpcQAZkqKggUYjag4iPn0zSGeMFBRN8OJwQ7bLPSA0DNGgyuQ2dfdUt1RyZDS7ITfbJjxNG61BBohBVOCbzW30Xu+zVkcMJ0UZGb0bxkZpKMgoA1+I4th+HuPUHvshd1rPv/k26WhMJGQwqSGyXLtdqkkYvH43rqP3qSMsjWs3Ypyu4DLl/RgHgh/04xPF4bDQsZT89L9knGvTkGsTHT/9m1c8adaKCxHbp6uPGc7GNq6OlA5KWR7SdMXNaZBnSGKAhwQfNZ0/8sTdHGj/hecEF6erjxvejdaggUY5agyw4Xmo/nJCWR7RIHMelkn2MjALulNAWW49DzEb2iE0jNerD1C4WW9ghoYLEjraOl3I4IQJTKtln54wCoCEsxyGOx+ONr+0k+3QKFSS20+8a5SSdfYDG3vJ4d3fHYgxaqniyzw4ZBUDTWJojkyTJbmrnJftE/cfDzFiGDAYVJLYzIsSNUweMa6r9cEJqR7RdkZnT09NT/U0GaNBqpY5DzCb7GEsJG8/FRRtRQaIQ+TsfDXrR4FneAqSl5ZGkHgTDMnMqlcooANpia3Ok+rHP3mVFg2dCiE++/06wBhkQKkhsly4fE7yMq6McvrO0xZDUg/AYa4rGPVXxjAKgdSzNkeo4RGMvW101/viDT30+VTh3B1gtFov47/+j6D//B+JP/7b4s5fiT/+28fOTt0Mnk3rqfvph0tcAJpNJ3U+ni4y6UP0r5L0fPun/ClEU1f10wrSxOVJom05Plip/+Jn4j/9beREZ/dN/waUhDFSQsLH3b+XtzcnNjrqfe8ioIGtndGWoMkX/p6F2qQsVpDd57UlRFFmS2mSVWfdzx77YxUau09NTexZDdtSalkd0xMaZUxJ80DUy2Teblp+mqeUAG9U66frpwSkqSGx2cXFR8ORfhZZHdEp25pQEH3SQnNTe2BxpZ09URfNRQWKD4sf+ShxOiG4yZk71/0WCDzpFJf6UOipiNpuVXapAc/xJ3U8ATVTqV1oe9cbZAz7pxcpsNnv//n19zwUbRFE0m81ms1ndT6SjjGp+6/mTqJYM6CjykWmaJknCan1LHdzd3dX9HNA44/F447GnAABUKI7jq6urup8FdsEuNjYoePsIAMA+uNy0FxUkAACoB1vY7UUfJDZ4/vx5qVbIUq3T2J/eYyD7UGt7Kp2XJMnGRRR+KWoku+vUm/xbeGZ8/+2eP3/u8rnAIfogsUGapqWSuuI4zh6WCneGw6GqWiaTCRfIuuT9psiQPBZX6jKdTtX0TBRFi8Wi3ufTHTIYtdQChHl6DdqDXWxsIK9/xT8+SZLT01PSfNA1eUO+ZfOwgLaT4Y7D4bBkcZNLAAAgAElEQVRU+ZiNIkeLUEFisziOS61sqTMGqCPREUmS6BfL8/NzPQPS+L9AwGTtWPauKY5jrhetRgWJzeShbVvPxc6eZCXrSK6dCJ6xAHlxcTEajfTfCGIIETzZyJGtHaMosndxnJ+fE+LTdlSQyPV4xsA//RfRn/898ad/W/zZS/HDz9QHpGm68SSrNE1PT0/H4zExDQjVdDrVf7zltTB7WDZLLAiVbHnUe7IVecLtk/f/8DPxZy/lRST++/+IM8zCQAWJLaIo+tGf/7307/xD8V/9c/Hyn0R/8Zfqf8kVR1llZuvI6XRKcyRCpa8v6kdgj0YjfellNptxH4XwyG3r7MET6oTbi4sL/Sc/+ou/jP7iL+VF5Owf/nf0PoaBChLbxT8+lH+IBj39Yikemr3UamXepjZ1JEJibE8bt0/GYdmM1CAk0+n04OBg47b11dXV1dWVPNJQ/4A4js/+y/8sXa79PlM4RwWJEuRLQN4FUr6CZGfraI5ESJIk0ZdejEVHIUQURfoUGiM1CINqTzLeL5s3FouF+kXI3mK9n6/i48eVCPdPFj5QQWI7/d4xXX40mr30C6RcjKQ5EgEzVl82TpsZ3ZAsQ6LVLEk9snbUd5mMWyZ1i5XMb4UQ0aDHYmQwqCCxXXzcV39OV2shhH3m9HEEJ5MHRHMkWm06nRoJPhs7uoxEVWPZEmiRvKQe1fJovN/4SPmLIC8cQoh0uWYNMhhUkNguXX1Uv/NRvyc2zZxmL5DyIpo9q4bmSLSXfnWUd0p5H2l0DLMMidZJkiQvqUe1PBr/y7jFUvdR8sKBwFBBopDsvkPBC+RoNMrb1JZ1JJvaaAtjvNR+bhPJPmgv2XR0enpqvD5nWx4NRkZBdhsqGvSi/rNqny3qQgWJ7aL+M7UGqTYjshfIvPxktamd1xxpXJiBBsqOl2499tr4GJJ90HylWh4N9owCicXIkFBBohC5Bmk0QRu3mPaZU1VHGtddeWGmORINV+TqmEWyD1okr+VRblvbX6KNXqZsRsH9h60YowkHFSS2kwuQn3z/nSwf9SKy7MypfCWyNEcycIAGyhsv3cpI9jG6xICGsLQ8TiYTy7a1YrnFSpdrWTjKiwiTNMGggkQh0aD3xx98Kv+crj4+vj8/2cfC0hw5Ho9J/EHTbBwvLcj4OeewbDRKXsujeNi2zvYyZhmv/BtSgZdrIYS6iCAMVJDYlz3ZJ4+lOZLEHzRK3nhpQUayz8bgAsA/S8vjaDS6u7sr/iKsv+xnMwqeLDqwABkQKkgUorc/G5N0+8yc2psjSfxBExgJPkWWZAwk+6Bp7C2PpW6TptOpPaNANT598v13uzxXNBUVJErTbygloy2s7Mzp1uZIWsdQl1IJPnmKBxcArslt6421oz2pJ4+R4GP59D/+4FP9fAq0HRUkSpAbEBvPpNp/5tTSHMlxiKjFDgk+eYzP5bBs+CdvXXZL6slTKqPgk++/e/5wOjYCQAWJQqLBs42z2I8f8HR3b7cLJMcholGMq+NuC5AbP51kH3gmt62zPbh5hxMWYRzXmZdR8H5+K//AJE1gqCBRyNnJZ/KXPxr03s9XGz+mbLJPHpUfwXGIqFE2wWfjEdjF7RZcAOwpSZKDg4NShxMWZHzNvAXIH2lt9BsXINBSVJAoRP3aW37/jZlT4/a0LPnqZjkOkasvnNonwSfPbsEFwG5UUo/x/p1bHnVGRkE2wUfRFx2YxQ4JFSQK0X/tLYcKVDtzynGIqMueCT55siM1JPvAhX0OJyzIyCiwfEF1yWAWOzBUkCjNMkznYuY0L/FHCMFxiHDEGC/dIcEnD8k+cC0vqWeflsfsQxTPKFCXDGaxA0MFiUKi/jN1+5guzTQfXXbmtJJlQo5DhDe7HYFdEMk+cMdyOOGeLY+6shkF6pLBGmRgqCBRSDTo/cnH+1/+ZH5r74Z2N3NqPw5xOByyqY09GTvLxY/ALs5Y1GSkBvvLO5ywkpZHQ6lbLHmxUH1Q9EGGhAoSRf37Z/dBDNGglw0V1xnJPkZL2Z6KNEdW9VjoIKcLkBu/LMk+2IeHlkddNqNgywLk6qNadFDLEAgDFSSKUr/86XK9NZHBuO5Wvk/HcYhwwbg6WsZL90SyDyphP5zQxctg2YwC4nsCRgWJomQLS8E9CCPZx9HMKccholr6rY59vHR/JPtgH5aWx8q3rZUdMgr0CpI+yMBQQaKoTz5+Jx5eDorcVnqbOeU4RFSikiOwi8uO1LBwjiLyWh6Fm21rnZHgUySj4Fst/e0TdrHDQgWJoj75fikXIC3H0uh8zpxamiM5DhEFVXUEdnFGD9lsNuNuBxaWlscKk3ry7HaLpQaxo0Hvk++XLp4Y6kIFiaKe9EHmh4rrssk+TreVaY7EzvwM0GRxWDYKsrc8VpXUk6dsgk9W1GcKOzRUkCjqk4/fFTnb0OD/AilbMLMzEDRHIo9xAqeLBJ88ToMLEAa5be255dFg3GIV7/FQyw3J/PaH//ZfVfy0UCsqSJSgj9EkBTayRU0zp3IxkuZIFGRcm70tQG58OJYhoXhO6smzc0ZBkeAOtBcVJIraeYyurplTtamdbfemORKKseznLsEnjxFcYCyIorM8HE5YkPEcij90Ml+RJR4wKkiUoDeyJL+/LfpZmZEanxdIeXnONgnRHAnJGC+t5eeBw7Kh83M4YUE7JPgYZO3IidjhoYJECc+P+2oc+9tiwzRS7RfIOI7zNrVpjuwyzwk+eTgsG5LPwwkL0n8UjQM5t5K72OlyPTo5qv6ZoW5UkChBbUOky/WPygzWNeECaT8OcTweG8UEgrf/eGmFssEF/DR2SkNaHg1VZRQk89Xz48MqnhEahAoSJcTHfdkWHQ16s69uyn3u05vXuo5xsyf+0BzZKXUl+OQh2aezLEk9ddWOooqMgrKXCbQLFSR2sdt4nbEMWeMFcutxiIwyBM+4h/GZ4JOHZJ8OsrQ8TiaTxWLhea5Lt39GgX6loA8yPFSQKEE1QQoh0uW6YKDP46dnZk7rvUBajkMcj8cbDw1DMIyrY10dkAbjp5FuyIBtPZywVMdh5XZO8Hn8CtoFIl2umcUODxUkyomPD9VtZfFx7MdPj+Nakn3yWJojkyRhUztU+4+XOmLcZXkOLoAf9pbHu7u7Jrzs6C/Ou2UU6AuQTNIEiQoS5USDZ9qfS99TZkdqmvBayXGIXWMM0NS72GOoPbgATtkPJ2zIS00lGQV6BVlq8hJtQQWJcvR5utn1Ll3SRsPZbDZryGbx1uZImtLCYFwdax+gMTQhuAAupGmaVzvWldSTp5KMApn4Fg16o5MjtrCDRAWJcirphm7yzKmlOZLjEAPQqASfPNlkH+5eWk3eBgyHw7yWx4YsPUoVJviIh455KsggUUGiNDVPk8xvdxvKbvjMqaU5kuMQ2864OjanA9LQ5LsslCK3rbP9rP4PJyxi/wQfRU3PpMt11H+29ePROlSQKEcPFY8GvXT1cbevYxRnDbxA0hwZnv3HS70x9rJZhmyj6XR6cHDQkMMJC9o/wUeaXt/oY5esQQaJChKlqdOx0+V6h3Hs+y+SSfZp5sypfJ7ZUoPmyDYyro4NvwcYjUaNCi5AcarpxXh/A1sedcZ20D63WOlynczvrw7nL4Z7PzU0ERUkSnv+0Aq5521lW2ZO5WIkzZFt19gEnzzZkZpm3mVB18zDCQvSX4R3S/DJio8PWYAMFRUkSlPJXulyvc+hVe2aOVWb2tnkF5ojW0H/6Wpagk8eowutsXdZkPKSeprZ8mioJMFHkZeGaNBLV2tOowkVFSR2oXdD7jZMI2VnThu+mCc3tbMNTDRHNlzTjsAurkV3WV1mOZywsS2PusozCuR1YZ+rA5qPChKlRYNefNx/LCJ3HaaR2jhzGsdx3qY2zZENVOF4qX/GcikjNU2Tdzhhw1seDdXeYk21qGDOMwwYFSR2kS4/7nO2oa7hyT55LIk/cqHI2BJCjaoaL62LsQzZirusLmh1y6POuC3Z/xbr/fzxosB5hgGjgsQunmt9LfLggX0YV/QW7dPZE39ojmyCFiX45MkGF7TiLitslsMJW1Q7SsbfYv8hs3T5Ua076seYITBUkNhF/OPHFwV58MA+jAtk62ZOtx6H2K6/TmD0G5Kqxkv9i+OYZJ+GsLQ8TiaTxWLRrlsUFxkF6rCJaNBjCztgVJDYhZytU+cN7F9EtiXZx8JyHOJ4PM62ScGDasdLa5QNLmhpKdxqeS2P4mHbuhUD/gZjgGb/v4JqfJQd8wxiB4wKEjtS5w1Eg96erZCibck+eSzNkUmSsKntX/OPwC7O6E6bzWbck3hjaXkcjUZ3d3ct/dU2smwraRFWCwoMYgePChI7OtNSId/vvQYpNiX7tLTZi+MQG6K9CT552hhcEABLy6NsX6nlWe3P6Beq6hZrz4g3tAgVJHbkosElpAvk1ubIltbHbdHqBJ88LQ0uaK80TfNqxxYl9eQxbrGqKoX1YyYYowkbFSR2FPWfPQb6zG/3b4UUmb3s9i5DKpbmSI5DdKrtCT552htc0C6ykWY4HOa1PLZ9J8FdRoG6LkSDHlE+YaOCxI6iQS/W7i/3b4WURqNRYDOnluZIjkN0xFica2OCT562Bxe0gty2zn5jW3E4YUHGLVZVfykjS7ySr4nGooLE7s5OjtRG9v6pkFJ2pCaMC6SqIzkO0QP96tjeBJ88AQQXNNZ0Oj04OGjv4YQFuUjwkVSWeDToTV59XtWXRTNRQWJ30aCnbWRXsIstGS1rl5eXwWz1yutQdkmM5sgKBZPgkyeM4IKmUY0lxvvDaHk06H/NShJ8FH0QmyTI4FFBYndR/5map6kkFVIJ+Bg3uSRGc6Qjxk9L2xN88mSDC/iZ2VkwhxMW5CGj4D4Psv+s8q+MRqGCxO6iQS/q99S9ZlWtkCJzWxzASI0hL/FH0By5n/ASfPKEFFxQo7yknpBaHnVOMwqm1zd67yNrkMGjgsRenh/35V52NOhV1QopBbwMqWxN/AnvAuaUcacRRoJPHpJ99mQ5nDCklkeD64wCtSXFFHYXUEFiL6OTI3nTWe0utsjMnIa3DKlYEn9kHckGZUHG1TG8DkiD0VBLN2RBeYcTBtnyqHOdUTB+80EdVEYSZBdQQaICLlohhRBxHHfkAmlJ/JFXOxYjt3I3XtpYoQYXuNO1lkeD04yCZL4aaQeVsQbZBVSQ2IueGVvJAdlPvnjmAhn26zvHIe7D3Xhpk5HsU5z9cMLgf7lcZxSoFQRyfLqDChL7en58qDay9fOsKmG0ss1ms+C3dDkOcQfdGaAxkOxThKXlcTKZBLxtrXOdUXD5bkGEeNdQQWJf+sBdulxX/iLSzZlT+3GIwZfRpRi7t2EP0GRlk324x9Dl/crIbeuOrFV7uMVSr/zpch0f9yv/+mggKkjsKz7uPykiVx+r/fqdnTm1NEdC19kFSKWbd1k7i+P47u4u+G1rxWmCj6QfZijI8ekMKkhUIOrfv15Eg97l20XlX9+oCTq1T2dJjpTev3/v9xk1i7HkFtIR2MUZe9ksQ+b9UqikHs/Pp16uE3yEdpihEIIZmu6ggkQFJq9+Kv/gqA/GSPbp4Mxp3nGIQojpdNrl5kjj6tidhSXDaDTqSHCBndyzzr4+BJ/UkyebUeDiFitdflTrjmcnn1X+9dFMVJCogLFnUW2mj8TMqRCC4xANHUzwydO14IIsOUXU2aSePEaCj4u+T7mFLc+ViAY9miC7gwoS1VA7F8n8dnb9h8q/PjOnktzU3riK0MHjELuZ4JOng8EFikzq2bg1UXnwYYu4TvCR3s9vk4ddbMrHTqGCRDXUzkU06LlYgxSbZk67c4EsqFPJkQzQZHVwpCZJkoODgy78TcsyfgBcJPhI+gs+R9F0ChUkqqFuPWWgj6Mi0rhAdnMZ0pC9KnQhOdLDeGkbGduUYY/UqMMJjfdHUcQPg/B1izW9viHHp7OoIFGZWLv7rPZwGoWZ06yzszP7cYhBrtR6GC9tKaPZI8jFua2HE56dndXxvBrEeG10d4ulT0+OTo7I8ekUKkhU5vlxXzxM1VR+OI3CzGmWJfHn8vIyvOZIY4Cmmwk+eYzggvDusvIOJ4zjuLPjMlnG98fdkNn7+UpVjWxhdw0VJCozOjmS8zTyBcXRRnZ2pKZryT55th6HGMw3yhgvpWgwxHEc5F2W5XBCmfLIjYTkLaMgXa7T1eMaJFvYXUMFicpEg166/Cj7IKN+z9FGtiDZx8pyHKLMOmn7praf8dJWCy/ZR7U8Gj+9nU15tPOWUSDPwpYb2fHxIVvYXUMFiSo9fzjhMF2t37tZgxQk+2xjOQ5RNUfW8byq4We8tO2CSfbZ2vLY6h9mF3xmFOgbTWccRdM9VJCo0ujkSN6Ppst1Mr91tJEtNiX7BNbstb+85shWJ/4Yg7cM0FgEkOyT1/Iot63b+APsmtHV4zSjQJ/CJki8m6ggUaVo0IuPD9VQtruNbBHEBdKDrc2RLaq8vY2XhsFI9jF64xrO0vLItrWFzwXI9/NbtW0d9XtsYXcQFSQqdnZypHqr3W1kC5J9yrA0R7boOERv46XBMP7FW9HsIZtSsi2Pgm3rbYzXQA8ZBfIkQ8EWdldRQaJi+l6G041sQbJPGZbmyFYch8gR2Dswkn2aH1yQdzghST1FGLdYTr9d0+sb+doui0i2sLuJChIViwa9qN97PCbb5UZ2eDOnrrW3OdJI8On4EdjFtSW44OLiYuPhhCT1FGTcYl1dXTl9uPfzW9UEGT8MUKJrqCBRvbOTo+n1faK4u2hxKZiZU5/k0lR2k6uxzZEk+Oys+cEFspWClsc9GQk+rr9p6hVeECTeYVSQqF6sHU6TLtf6a40LjNTsQC5GtqI50vg3JcGnrMYGF5DUUxWfAzTiafkohBjRBNlVVJConpzIVnsc7+cON7JFZk+zORfI5lOb2tlN4eY0R3q+OgapgXdZHE5YlSRJvCX4SLPrG7Vtff5i6PSx0GRUkHDi/OXjy4rquXb4cE/36ZpwgWwRuamdbTVrQnMkCT6VaFRwAYcTVsv4Trq+xZJZv3KAJhr04h+zhd1dVJBwIj7uq1TIaODwhMP7h3g6c2rclKOIOI7zNrVrbI4kwacqTQgu4HDCyhkDNB4SfNQWtjzPkCnsLqOChCsqISxdrl3P0wgh4jjWXzpZhtyB/TjE8XhsTLS4RoJPhbIjNT7vsmh5dMTIKPDwbdRTftnC7jgqSLhizNO43sjORt9xTdqNPfHHZ3OkMV5Kgs+e6kr2sRxOSO24D/8ZBdPrm0Tra2eGpuOoIOFKNOipY7KFEJdvF64f0bhAkuyzj63HIbpewWKApnL+k30sLY+TyWSxWNDyuLNaMgpm1zfiYV1gdHJEDGTHUUHCobOTz9SfXZ9PIzVw5rTVLMch5h09Vwljj5UBmqp4S/bJa3kUD9vWrCjvqZZbLHlirRyjIQYSVJBwKOo/029SZ9d/cP6IT5N9jEY67MDSHJkkiaNNbRYg3XF9l2VpeRyNRnd3d2xb76+WjIILbR8pXa7ZwgYVJByKBr3Jq89VEZkuP3p4UKPaaNoJHC3l8zhE4+roYby0U5wm+1haHmVTRFUP1HG1ZBToA5GUjxBUkHAt6j9TrZDJ/Nb1+TRi00gNyT5V2docWUktohf9fsZLu8ZFsk+apnm1I0k91aolo2B6fSPje4QQ0aDHFDYEFSRck+fTqDdn7itIUd/MaUdYmiP3Pw5xOp1yBLZr2ZGafcp02RQ7HA7zWh65B6iWkeDjp6NUf+mOj/vM0EBQQcID/XwaP/M0/mdOu8bSHLnncYhGgg8LV44YnXM7BxfIbevsMj+HEzriP8FHCJHMV3KGRggRDXr6iCS6jAoSzunn0wgvsT7C48xpl1XeHMkAjU97jtRMp9ODgwMOJ/SplgQfIcTs+g9q/1o8ZP0CVJDw4UxLDktXa9UZ6RTJPn7IxtPsvEvZ5kjjLEoSfFwzNkCL32WpdoXsF6Tl0Snje+6tx2P6EAOZLtd0QEKhgoQP8XFfVY3pcn35zscypNOZU+jkYuSezZFGic8CpAdGs8fWuywOJ6xRNsHHzyqvHuIjz4nw8KBoBSpI+KDP7kWDnodWSMnFzCnyqE3tbGv/1uZIY7yUBB8/jOACYxnYkJfUQ8ujH7Uk+Agh3s9X6nDasy8oH/GIChKejE6OZDekjITwEOsjNo3UkOzjmixKsm1w9uZIY7yUcsSbIsEFlsMJaXn0o5YEH/FwEHbU7wkWIJFBBQlPokEvGjxTb/qJ9REk+9QkjuO8TW1ZR+qb2rWMl0KyJ/vkHU5Iy6NnRkaBtzMhZcdRMr+NBj1CfGCggoQ/egu2n1gfQbJPfSyJP7IukYVjXeOlUIzvuUz2oeWxOerKKJAp4vLP6XJNiA8MVJDwx0gXH7/54OdxjVt2Rmp8sif+yPUt/f0M0NTCCC6QCeEbt62pHT0zem98ZhTMrm/UouPo5IgQHxioIOGVni4uhPAT6yPKz5yiWpbjEPXtURJ86pJN9sl+wGQyWSwWtDx6VucCpJa8RogPsqgg4ZWeLp4u1+M33/h5XJJ9miDvOESFBcganZ2d5f0vuW3trfcOivFK5TOj4Okxhod0QCKLChK+TV79VG1np6s1yT6dYmmOFELscxwidiZbHo12Amk0Gt3d3fGPUhf9ZcpnRkG6XKsRbJHZOwIkKkj4Jmf65Cmr6XLt55BDsW3mFD7Ja2F2NWXn4xCxs7yUR5FJi4RnNWYUjN98Ew16yfxW0AGJfFSQqMHz40PVXuNtKFtk2uzkzKmfh4bBuDrqyh6HiN2kaZpXO6oPYKm+RnVlFCTzld4B+VwbfwR0VJCogd4NKYTwtgwpOCy7GbIJPvsch4iy1LR19nt7fn6uVyp0DNelrgEaIcTs+g/qz/HxISniyEMFiRpEg96Z9qrkcxkyO3PKBdI/4+o4mUzymiO3HoeIsuS2dfZwJnU4IXdZtTOOl/SZUZAu1+nyY7pcR4Oe8UINGKggUY/4uK/f2up3va6R7FMvo2pXE05qyKbUcYgobjqdHhwcbD2ckOCC2hn/Rj4XIC/fLWSTuhAi6nOMIWyoIFGPaNB7riVE6IcfOH/op/MBxu0+XDOujsZ8gKxmLMchUs3sQLUEGO/PO5yQ4IIaGUdg+0zwSear6fVN1O9Fg166XDOCDTsqSNQmPu7Llyr55ulvvvb30ByWXRPj6rhxvHTrcYg0Rxa32+GE2eAC7rK80V+OfCb4CCEu3y7i48Nkfit3sRnBhh0VJGojm2z0c1d9dkNyWHYt9O+zcdqkIe84REFzZGF5ST2q5dHyudxl1aLGBJ/p9U0yv5UJPkKIyavPvT00WooKEnUanRzVclK2yFwgkyRhWcu1HcZLLcch0hxpkSRJ3sHWesujBXdZ/mUzCnwe8mkcQsMCJLaigkTNjFabqfYq5hozpz7tM16adxyiqiOp/hW50X96emp8T/JaHi2MRWJGalyrMcFHHkLz+NB0QKIAKkjUzDgp+732KuaakexjtOihWnuOl25tjmQxcreWRzuCC7zJZhT4XIBUbejyyFkWIFEEFSTqp9/vTq9vLjwGjBvlCPt0jhhXx53HS/OaI9nUzmt5lNvWO39bssEF3GU5Ys8ocMrY+WEBEgVRQaJ+8XH//MXja9bsq9qSfZg5dUQvzfcfL93aHNmpKsfS8jiZTEptW28UxzHJPq4VyShwRzWgy/lrFiBREBUkGkHPrU2X68t3/pYhmTl1zdF4qaU5siOJP3ktj+Jh29oy6l5cdqSmswu97hgJPpX8wxUk93zkTXu6XJ+dfObtodF2VJBohGjQe1pEfiTZJxjuxkstzZFhJ/5YWh7jOL67u6v2L2705M1ms+Crc59qTPAxbtdHJ0csQKI4Kkg0xfmL4eNIzWrtbSNbbEr26dQ2qFMexku71hxpb3m8urpy8aAEFzhSb4LP+M03+pt6NxGwFRUkmkIGjMs/p8v1zOM5h4ILpBv7JPiUpY5DDLg5Um5bb6wdyyb1lEVwgSPGLZbPBchkvlJHYAshJq8+VyeEAUVQQaJB9GSfZH7r85xDYy+bZchK7Jngs4OLi4sgmyNdJPWUZXxXucvaX1UZBbu5fLsQD/E9Rh8RUAQVJBokGvT0IIl0ufYZMD4ajZg5rZCxTOXt6qg2tbPjCC1tjtzncMIKZZN9CC7Yk/Fv6vMn8+LtQp5/LbPEOcMQO6CCRLPEx339Vvjy3cJnso8xUsMFch/GeKnnuk1l2bT6OMT9DyesFsEFFao3wUcfoCFCHLuhgkTj6N3c6XLtbShbZBr1uEDurMbxUp1qjjTe3/zmyAoPJ6wQwQUV0r91xgGSrp2+ftIgRIQ4dkMFicaJBj29iPS5DCkyx7hxgdxBveOlBvtxiOPx2Ch2a9eElkeLbHBBo757bVHjEdjJfKUfgU2CD3ZGBYkmung5jAY9ORiYLtdG5IRTxmIAIzU7qPHqmMee+NOc5siGtDzaEVywJ58ZBVmXbxdqYDEa9OiAxM6oINFQ5y+Gaukxmd/WdVg2F8iyjJrb89XRbutxiDV2vtoPJ/Tf8mhBss+e/GcUKPKFVK5BUj5iT1SQaKjRyZE+UjP76sbnKTXGzCkXyOKMq2NdHZAWluMQx+PxxkMCnfJzOGG1jO8ezR7F1Zzg824hMyA5Ahv7o4JEcxkHJFx6XIaM45hknx3UO15anKU5MkkSb5va9pbHyg8nrJBxl0VwQXH6i4nnjAI5QCP3dqJ+jyOwsScqSDSXGqmJBr10uU5X/uIhszOnjb2WN4oxQNPAxTNdvcch2g8nbP7PG8k+O6gxo2B6faNOoIkGvecsQGJvVJBotNHJkWr6Fn7nso0GvtlsxsypnXF1bMIATRFbmyMr72GwtDzWmNRTFsk+O6j1COwP96uPg54Q4oIEH+yNChKNJk+pkS988vgEPa2svlMAAB6WSURBVAjXNWZOi2tUgs8OLM2RFR6HaGm1bEJST1nZZB86hi1qzCg4ff21vBWX+zkM0KASVJBoOuOUmun1jc+9bGZOCzKujo3tgLSwNEdWchyi3LbO9gs2KqmnLO6yCqoxwSeZr9LVWmVAnr8Ysn+NSlBBogXOXwzlzovkcy+bmdMi6h0vrZaL5siLi4uDg4PmHE5YIWMvm2XIPDUm+Fy+fXzBjPo99q9RFSpItICRW5YuvY7UMHO6lXF1bOlymk7+u2dL4bLNkXITvO0tj3aj0YjgAjtj+8LnLdbp66/1ARoOMESFqCDRDvFx//zFUE3VvJ+vvBWRzJzatSXBpyy5GLlzc2TDDyesUHakhrssg/6i4TPBRx5gqBYgCYBEtagg0Rp6N6QQYnZ942cvm5lTO/270fwEn7LUpnb272VpjmzF4YQVMrr6Li8vCS5QakzwOX39O/VnTqBB5agg0Rr6Fkwyv03mt97Oy87OnHKBlBp4BLYLeUcLZpsjLUk9bW95tOMs0I1qzCg4ff21ah8/fzGkfETlqCDRJnIuW70sJvNbb3vZzJxm1TheWos4jvM2tWUdufFwwpBaHi2M5WdGaqS6brFkfvjjAM2gx/41KkcFiZZRp9QIIeLjQ29z2ST7ZNU4XloXS+JPmqbBtzzasQxpMMpob7dY6XI9fvNBvRkNekYLEFAJKki0jN7NI5vET3/ztZ+HJtlHV+N4ae3yEn+Mj+lO7SgZwQUsQxo1tLcOSNneo26t2b+GI1SQaJ/4uH/2xeMtdbpcX7z1cVANyT66usZLmyNNU3s7bAfrpziOSfaR6soouHi7UOHhgvxwuEQFiVYyzst+P18l85WHxyXZR6pxvLQJZJrPxsMJ9Y/JO8AwYNnggg7eWkjGAI2fjIJkvtLPfY2PD8kPhztUkGilaNCbvPqpejOZ347ffPDQEEmyj9TqI7D3YUl5HI1G2ebIJEn2Pw6xXYxuv9ls1qkaWjKyQr21CF9quzHkh8M1Kki0VTToXX35M/20Qz/hPtlkn65tVnYkwScrL+VRJvVMJpPKj0NsqY4HFxj9Ld4GaMZvPujHz0xefc7+NZyigkSLyYZIuZ2dLtfewn26fIHsWoKPlKZpXu1oJPWoanLP4xBbrePBBbXcYl28XUy1QxY4fgYeUEGi3UYnR+q2Wwhx+W7hoSHS2Mvu1DJk1xJ8ZKPCcDjMbsVaknpGo9HOxyGGobPBBcargZ+MAtX+KPdkJq8+Z/4aHlBBot2iQe/qlz9Xe9kyCM1DQ+RoNOrgzGl2vDTsBB+5bZ2duC9yOKElOdJyHGIwOhtcYNxi+flXHr/5oE8W6r09gDtUkGi9aNCTMeNSulx7aIjs5sypkeAT2BHYuul0enBwsP/hhKqO3HocYng6GFxQS4LP6euvhRAqwYf4HnhDBYkQjE6OnhSRKx8JkV2bOe1Igo/aaDbev8/hhLLuzG5oht0c2cHgAv0v6CfBR6Y/Pp5e2O8R3wNvqCARCD0hMl2uZ1/deGiI7M5IjfG3CzLBx5LUs//hhHIxsmvNkdnggvD+jor/AZpkvpp9dSO0U16vvvy56wcFFCpIBEImROpFpIeGSGMnN+CRmuATfPKSeoq0PBanNrWzq1OhNkd25C7Lf0ZBulyfvv6d3LCWL3SkP8IzKkiEIxr0zk6enHbooSHS2KcL8gJpVMaBJfgkSWJJeSze8licnDKxJP6EVEd2JNnHf0bB+M030aA3vb6Rt81XX/6M9kd4RgWJoBgNkfKsGqePaMycBrkMaVwdg+mAzDuccJ+Wx+IsiT+yjgxmw9doAA2vG9Ioiz0k+IzffFDtj8n8Nj4+pHyEf1SQCM3o5GikrUQm85XrqZo4jgO+QNYyXuqa05bH4iyJP7K6NaaXWio7UhNYso+RUeD6h+fi7ZPUW9ofURcqSIRGhvvoCZGX7xZOz6oJO9nH/3ipa5bDCb3VjsbjWo5DDKM5MuBkH88ZBTI8/HH4etCjfERdqCARIBkzrr/p+qyaUJN9AhugsbQ8TiaTbGqjT1uPQ2z1ul3AyT4+MwqS+Wp2/Qc9MJyzZ1AjKkiEKRr05GtrNOily7WH0ezwZk6N3cZWD9DktTyKh23rhqytWpojx+NxqxN/ssk+AXQMn56e6m86vcWSL2Lq8Oto0GN6BvWigkSw1FSNvGVPl+vT33zt7uHCmzkNYwHS0vI4Go3u7u6atkcc8HGIgd1lec4oMJIlOHsGtaOCRMhGJ0fxcV8tPcqbeHcPZ1zyW71PZ1wdPYyXumBpeZRbxrU8qyLszZEtTfwx9rLbvgzpM6Pg9PXX+tkz8fGhPi8I1IIKEiGTUzXypVauRE6vb9xN1RjJPq2eOTWujq2rV+S29cba0UNST1W2Nke2rgIbjUZhBBf4zCgw7nuZnkFDUEEicMZothBi/OaDu3yfMGZOW53gI1sGa0/qqZClObJ1xyEGE1xgJPi466OVN73J/Fa+GR8f6mOCQI2oIBE+NZqt6sj385WjlcgwZk7bm+Ajt62zS7/VHk7oX0jNkQEEF3hL8EnmK30BMhr0zl8+uR8GakQFiU6QK5HqzXS1dpfvk505bdcFsqUDNNPp9ODgwOfhhP6pOrLtxyG2eqTGeMLuEnyS+er09e+M7B6mZ9AcVJDoitHJ0dkXR/HxoYd8H+MC2aJlyCRJWpfgozZzjfe3q+WxOFkTW45DbH5zpLHt266RGj+3WOlyffr6d/IP8j1k96BpqCDRIRcvh2cnR/po9ulvvnZRRLZ35tRYDWr4AmRDDif0L4DjEI1mj7YsQ3pL8Bn++rf6m2T3oIGoINEtKiRSSpfr8ZtvXBSRbZw5NQZoGp7gk5fU0/aWx+LyEn+EEM0/DtEILmjLXZaHBJ90uT59/SS5dnRydPFymPfxQF2oINE5o5Oj+PhQ/jka9NKVk6Tx7EhN85N9jPHSxtYflsMJg2l5LK69xyHGcdyuuyw/GQWX7xZq8loIER8fcnQhmokKEp0TDXqTVz8dnRyphkiR2TOqRLuSfbyNl+4j73DCUFsei7MfhzgcDhu4qZ3NT23sTYvkIaPg9PXX0+sbOT0TDXrx8SHRj2gsKkh00X1IZP9+yFEWkZUfV9OiZB9v46U762zLY3FFmiPreF42xk9ak5N9PAzQjN98kKuP2vQM5SOaiwoSHaVWItV7jOi1SmSTfZrZ7NXwBB/74YQNLIxq1LrjEFuR7GN0obgYoJGrj+rNaNBb/OoX1T4EUC0qSHSXXImUPZFyO9vFmYfNv0B6Gy/dgaXlcTKZdHnb2q5FxyEayT5Gr2FDuL7FksdeqzdHJ0f0PqL5qCDRaXIlUs/svXy3qHYlsvnJPh7GS3eQ1/IoHratW3RSTl3achyi8Qyb1uxh/M5WnlFglI/RoHd28hnZPWg+Kkh0nTrzUHKxEtnkZJ8GHoFtaXnsTlJPVVpxHGJ2pKZR8+PGL2y13zHV+6gCIjh4Bm1BBQnctxyplcho0Bu/+XDxdlHZ18+M1DThsi0ZCT61L+zZWx67ltRTleY3RzY2uGA6neortVdXVxV+8fGbD2ryOpnfxseHHDyDFqGCBIR4uhKZLtfRoHf5blHhSqTRXNiQmdNGJfjIrdWNtWPHk3qqIpf6spuwTWiObGxwgZHgU+EP4fjNh2S+Eg+T19Ggd/6Sg2fQJlSQwD19JVIWkeM3HyrsiWzaSE1zEnxI6vFGLkY2szmygcEF7gZo5Oqj/LPcv2bzGq1DBQk8MlYiRaURP8Yece0XSOPqWNcCJIcT+qc2tbNNC/U2RzbqLitJEkcJPiq45+FF5pbNa7QRFSTwhNETKQdrqioijX26Gi+Q2QQf//2FHE5YL5WIlLep7b+ObFRwgfGTWdUCZHbymvIRLUUFCZjkSqQ6WEwIkcxXp68rODvbmDk1Fjl8qjfBh8MJm0PW6xs3tWtpjmxIcIGRUVBVgo9RPgo2r9FmVJDABmo7W24zpct1ulpXshLZhJnTGhN8aHlsIPtxiOPx2Ji4cv1kjKX6Wu6yjIyCSn4sL94uVPkYDXqsPqLtqCCBzdR2tpqtSear4a9/u++XbUCyjzFe6i3Bh5bHJrMn/vhsjqz9LqvyjIJ0uT59/fXluycBYaw+ou2oIIFc99vZ/Z7+zuGvfysXJndmXCA9J/vUcgS2/XBCWh6bY+txiB5WBOtN9qk8oyBdri/fmauPlI8IABUkYKMfe6h2tE9/s29PZF0zp8aeoIcjsDmcsI0sxyGOx+P/v737aXHsSu84/nSwQeWBiSQTxoKEvkLONG0vEpuqjTelzkAV5AWECllIgsDgXmaRjSFSBXqTwCxtGAJSLTIpyCuo3pQKQg+hGmeVaZy00J2VOouWCkNcCgl0Fk/V6dvnSrfOka7+XX0/C7tKrj/Xbl2f3z3nOc+Z+KeZLmtqfJlbatJ9xAqH4/KTZ1ZnWeIjsoEECdwhurHGzD6afhwz/sx3O/tYhYmLs8wJyOSSxzdv3rBsvc4SiiO73e4SFrVX0rgg3qNgnkcsjY/m02olr7UxxEdkAwkSuJuGSHNwrW6sOZnv+GxrYF7COp01Oqa1vXSi5MMJyY6bYoXHIa6ks0+KPQq6vVF8saL/1Rcz/0Bg3ZAgASe6nN0+emgmI8PR+Phpf+bjs63OPkvYcxoNqWltL40Lw3BadqRTz4a6szhyQdluyZ19UuxR0DrrN05fRAumq5X8+ePP57k8YN2QIAFXQTFX3yvVdktaCx8Ox1ojP3OIXOae006ns+gjsLVIrlwuTyt5ZOpxoyUURy7oOMQlNy6wOvjMXKHbOH1x8nxg4qP+f4P4iOwhQQJ+Wofl2m4p+srx0/5sXX6WuefU6uCT+kSgLlvHp1Hp1JMlCcWRCzoO0apEXFzjglQ6+OgRVp3LQXT2sXlQbh89nP8KgXVDggS8xUOkzNrlxwpzCyr2WugGmlarde/ePQ4n3B5LLo5cQuOCVDr4hMNx4/Q3jdMX5kxUETl//Fl9z/5/BZANJEhgFq3DshbF6/YaXdF+9M0sG7QXPUBaZyem2MFHly8pedxOWsgb34+VenGktaC8iKcs6xFrhglIPW4gHN00/BIOvMYWIEECM9LGHOFobKYcZiuLXPSeUyvhpTIByeGEkNvJyCUURy60s0+8g4/vrHnncnB81pdIty96hmMbkCCB2d2cfBg5tCYcji96I98Qubg9p9b20lQ6+HA4IaLMonZ860laxZFW4wJrWn1Oc3bwaZ31o0fOiEjzoEzTR2wDEiQwr/bRJ82Dsvm027vSEOleFhnfUpPWAGltL51zLE84nJCSxy037YDKtIojF9S4YJ4OPua0a6trT+uwnPBdQGaQIIF5BcVc67DcPCib5exu7+rk+eDRN9+6h8hFDJCpbC9V0w4npOQRUdVqddqi9pzFkQtqXGD1KHDv4KPnzejUo7nxmwdluvZge5AggXS0Dm96drxtOT4cP/rmW8cV7dQHyFS2lwolj/CU0PFH39XWg427eOOCOYssZ+5RoPtmzKfhcFyt5M8ff8bsI7YKCRJITbVSsE4tC4fjk+cDxxBpTYHMuaUmlQ4+CYcTkh2RILnjz8zFkSk2LrBqRdx7FDROXzz6+t+ir1Qr+eZhmcJHbBsSJJAmPUE72kBYN2g/+tppRTutPafx7aW+E5AJJY/tdrvf71PyiDvdeRyib72v1dnHqmL0MsMjVjgcN05fdHsjXWfQv+pxhcRHbCESJJAyPcQsurdGRLq9K5cV7bQ6+8yzvXRayaPcLlvPfNobtlPCcYiNRmPiOy2B9XNmK/aw7iyXHgW6cq3nzejTYDgct48eUviIrUWCBBaidVg+f/xZ9HQKx26R83f2mXl7aULJY71ef/PmDcvWmE1CcWS32/Va1LY6+8zWuCB6W7n0KGid9aMr10Exp4WPnDeDbUaCBBalWimcf/l5NEQGxdydK9rxLTW+uc3q4OM4ZZhQ8qgLkV7XAMSldRzinI0LvHoUmJY91uvto09YucaWI0ECC6RlkabRTzgcB8XcnSvaVtniycmJ+zLfDB18wjCclh3p1IPU3VkceWflxpyNC9x7FHQuB6Zlj1HfK/W/+iL6ZAhsJxIksFjaLfL8y5tiKTP7mLxHe7Y9p74dfHToLZfL00oeWbbGgiQUR7ochxjv7ONYMey4gUanHhunL25+XSUvt0ddR/fJAduMBAksg55/qOOQ3HaLPH7aLz951u2NJnz9THtOrdExeQJSl63jNWQcTojlSCiOdDkOcYanLOs4xGk9CnTTTHTqsdu7qlby51+y5xp4iwQJLElQzJnzD80SmPYH6VwO4l9vDat3DpDu20s7nc69e/c4nBDrwORI3+MQZ2hcYL3nJ05Adi4HVrvHoJjTw2ZYuQaiSJDA8uiKdrTruI5JjdMX5SfPrO011p5Ta/okzhodJ467ZonQvjBKHrFS+vQSf+xJLo70alxgTeRP+F3vrlzfXFgx1z56yGEzQBwJElg2s71Gbpez9fX49hr3Pad3dvDhcEKsOZ2M9CqOjG+pSXjKsnoUWG/41pmWlFxFJxqrlXz/qy9YuQYmIkECK6CTkdbRNfHTa9z3nEZft05HlOmdeih5xLoxi9rxLlQTiyMdn7ISehRE+/UExZw2TBARXbme618GyDQSJLAy2hakffQwOu1h9fqJ7zmN71FN2F6acDghJY9YW1rCkdDxx+RIl6eshB4FVr8efXgLCrn+V1+wcg0kI0ECqxQUc9VKobZbip60KyInzwePvv5Wt2kn7zm9uLiYuL102uGElDxiUyR0/NEcqe9ta9K92+1eXFxEv37iI9bEqkcR0YMK2TQD3OnemzdvVn0N2AwPHjz47rvvVn0VmRUOx43T35gyrJu5kGKueVCu75UajYbj0W39fl9EOp3OxOW8ZrPJmjU2jhY4TpxKr9VqukJdLk+eMgyCIPoQVa/X2+1266x/8nwgkRtNRIJCrn30CdlxcRhEMoYECVfc/IsWDsedy8Hx074WY5nXg2Ku+nv/0/n5n9z5E3RyZWJ21GVB5h2xuXSFOr4VTHNkEAQuJ9Ocvxw2Tl/YfQ+KudpuiWXrRWMQyRgSJFxx8y9HdDLynRw5uAj/6W+Tv9eabjEvNptNx9OxgTWnk5Hu53xGBX/+N/Lp4dudasVcUMiJCFOPy8EgkjHUQQLrJSjmzh9/3j56GI2P5jCbZNMOJyQ+IjOmFUe6CP8vH72twuF4v1Kg6hGYDXOQcMXj45KFw3E4un674vYPfyHfv3L/dq33WtTFAas2rTgyyY8/kr/8R/2wWsnTrGfJGEQyhjlIYE3pNu3mQblayVdf/tI9PmqnHuIjss10jvSo7v3+lfz6RPuEEx+BOb236gsAkKS+V6pWCo/+/l+9vstlSwGwhYL//o7sCKSCBAmsu6CY89o3MNsmA2ArfP9fq74CICNYxQbWHYkQSAt3E5AWEiSw7oIgoI8jkApuJSAtrGIDG8Dj9OrDv67/7I/3Py5oozsg28LR+ORy0H15Jf/8Vy5fz0HwQFpIkMAGaDabTqca/v4fyaeHnVcS/ii//0GBMzaQYTdnOP1LX+S+/MF9+fRQ/v3szu+q1WpLuDZgG7CKDWwAPVfm7q/7s1/o37u9q+On/fKTZ62z/mKvDFi6cDhunfWPn/aPn759ewd/+nP58UfJ39hsNlnFBtJCggQ2Q71eTwiRQRDU/+5X1tE14XB8/LT/6OtvyZHIBp13LD95dtEbdS4H5vWgmJPf/UnzF98kLFLX6/VWq7WEiwS2BGfSwBXHCayDbrfbaDSs/aTm+Jmbdb3biRlzsrae/7tfYV0bm0rf2yfPB+FwXK3ku70rfV0PJKztlvS9PfGgmiAI2u02s48rxyCSMSRIuOLmXx9hGHa73TAMq9VqfFyM5kgTIlVQzDUPyvW90jKvFpiH9VxkaR6U489F4S0R4VD49cEgkjEkSLji5t84rbP+yfOBiFghsrZbEpH6Xknnb4C1pe/h6BvY0Gch3sMbhEEkY0iQcMXNv4mia3/WP6pW8kFxp7b3UbVSWMm1AdPE6zGi/+j88We8aTcRg0jGkCDhipt/cyXkyKCYq1YK5EisCd3+1e2NTAlvOBzrX6uV/H6lwLzj5mIQyRgSJFxx8286M69jFUfK7Vab2l6JEkmsSuusf9EbmS0yFtasM4BBJGNIkHDFzZ8N0/YlmMme2m6JoRpLE39DRp9w9A1JD4FsYBDJGBIkXHHzZ0nCurZQIomlSHiY0Q/IjhnDIJIxJEi44ubPnnA41oKzaVGSGSCkzjy9yLtdApTV3xFZwiCSMSRIuOLmzzDdvhA95EPebUjePCjrnpsVXSAyonM5aJy+MJ9aJbnVSp5i3AxjEMkYEiRccfNnnk4O6W4Gs5IYrUgTEaok4cu8r8LRWGLdSbX6tn30MCjs8L7KNgaRjCFBwhU3/5bQpe2L3pU1JWnoZOR+Jc9cEZJ1LgcJbyRh0nHLMIhkDAkSrrj5t41Z2o725JN3V7dru6Xqx3lWtxGVfA6hojvPFmIQyRgSJFxx82+nhCnJ6PBPW3KISOusnxwc2Zu1zRhEMoYECVfc/FsuftDcxI20zEpuG33GOH7ajxc4Rj9tHpSrlQKTjtuMQSRjSJBwxc0PebcBkMS6sZj1bmFWMuuSnyjMp1Q6wmAQyRgSJFxx8yPKrG6bI4xFpFrJW6fS6axkUMyRITIgHI7D0XX35ZW1VB2Pj7XdkoiwWo0oBpGMeW/VFwBgIwXFXL1Yqu+V3u0BtBOMxtEwodtxROSidxUOr/crBda4N060Hc/EzvOGzjiyWg1sA+Yg4YrHRyTTWcmTy4E1DWmpVvLhaEy55Joz043TDo8xaBQKRwwiGUOChCtufjiytm/Hl7YNEz5Ik+tAU2M4HOtjgP7pmMJWEyLreyX9k9X9MdQnwBGDSMaQIOGKmx++ovNYyaufmlGCQi4o7rD/ZpnMn9FvR+OE1t8Gha2YGYNIxpAg4YqbHzMzk1taFjmtRXlUtZLfrxSCYo7zuFNnNtSLiAn31kSjpXlQFhGmijEPBpGMIUHCFTc/UqFp8uTyVXQT9zQmawaFXG2vJCLs0phNtzfqvrzSDU+O36L/2fcrBbZUIxUMIhlDgoQrbn6kS+Oj5kjHZBMNlEFxZ7+SZ4ZyIp1lFBGrovHOb6xW8kFx534hx3QjUscgkjEkSLji5sfimDRptnJbK91x0Z7V4WhcrRQ0UIrItkUfsyr929E4HF6Ho7Hc7oAx//WmlQpovtS5RlIjFopBJGNIkHDFzY+lMZEoOjc5LU1OnGCLzlNKVta+9d9RN76IiDZoDAo5ExmTv90KlCZzkxqxHAwiGUNHcQBrR9uVi4hI2ezCuehddWUUn5g07WYs3d6VxI7Muf35O/cLOd2mIyJBYWd98qWJiTcf3M4s6mRhPCYmz9QamhTv77I8DSAdzEHCFY+PWAfRQBkOr0WToiedoYwfwBgUcrcf74hIbe+j7ssrEy7fflDY8bvm0XX0+iUyX6jpMCjudHsj/e2O/zpWaow23TRL+fcLOWEDNdYGg0jGkCDh6sGDB6u+BMD2vx98KCLXxZ/+8OEf6qfXH/70/R9e6+siYj6Ovhj/1PL+D6+tX2G9nvy95jdGf0jybzRfn/w1037d+z+8fu/69Qev/0NEdl7/p34ArBsSZJaQIAFkipmZ03Nx9DBul3pKF47rxfP8fHm3onHiK8wvAlg5EiSArWCWv0UkKOZOLl/FF8GjcW3aBp3Z0qG1bj5xp3n0FEFd0dae6jevsOUFwDohQQLYdibGWftXdLeNTmRqqaKIWEFQJqVM68t0B4/umNZoqHWW92/LLqsf5+W2vHJ99vQAQAISJAAAAPz8zqovAAAAABuGBAkAAAA/JEgAAAD4IUECAADADwkSAAAAfkiQAAAA8EOCBAAAgB8SJAAAAPyQIAEAAOCHBAkAAAA/JEgAAAD4IUECAADADwkSAAAAfkiQAAAA8EOCBAAAgB8SJAAAAPyQIAEAAOCHBAkAAAA/JEgAAAD4IUECAADADwkSAAAAfkiQAAAA8EOCBAAAgB8SJAAAAPyQIAEAAOCHBAkAAAA/JEgAAAD4IUECAADADwkSAAAAfkiQAAAA8EOCBAAAgB8SJAAAAPyQIAEAAOCHBAkAAAA/JEgAAAD4IUECAADADwkSAAAAfkiQAAAA8EOCBAAAgB8SJAAAAPyQIAEAAOCHBAkAAAA/JEgAAAD4IUECAADADwkSAAAAfkiQAAAA8EOCBAAAgB8SJAAAAPyQIAEAAOCHBAkAAAA/JEgAAAD4IUECAADADwkSAAAAfkiQAAAA8EOCBAAAgB8SJAAAAPyQIAEAAOCHBAkAAAA/JEgAAAD4IUECAADADwkSAAAAfkiQAAAA8EOCBAAAgB8SJAAAAPyQIAEAAOCHBAkAAAA/JEgAAAD4IUECAADADwkSAAAAfv4f0gz9SmMfHFQAAAAASUVORK5CYII=\" alt=\"hexagon\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = totalLength(n)\r\n  y = n*(n/2-1+sqrt(n/2));\r\nend","test_suite":"%% Point\r\nn = 1;\r\nassert(abs(totalLength(n))\u003ceps)\r\n\r\n%% Line\r\nn = 2;\r\ny_correct = 2;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Triangle\r\nn = 3;\r\ny_correct = 3^(3/2);\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Square\r\nn = 4;\r\ny_correct = 4*(1+sqrt(2));\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Hexagon\r\nn = 6;\r\ny_correct = 22.392304845413271;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Octagon\r\nn = 8;\r\ny_correct = 40.218715937006777;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Dodecagon\r\nn = 12;\r\ny_correct = 91.149049352701866;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Heptadecagon\r\nn = 17;\r\ny_correct = 183.4592171734470;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Icosikaitetragon\r\nn = 24;\r\ny_correct = 366.1692405183716;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Icosidodecagon\r\nn = 32;\r\ny_correct = 651.3749639995958;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Heptacontatetragon\r\nn = 74;\r\ny_correct = 3485.606258980444;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Hectogon\r\nn = 100;\r\ny_correct = 6365.674116287712;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% ?-gon\r\nn = floor(totalLength(21));\r\ny_correct = 49910.46655373736;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%%\r\na = floor(totalLength(1:1000));\r\nassert(isequal(sum(a),212524005))\r\nassert(isequal(max(a),636619))\r\nassert(isequal(sum(a(isprime(a))),15303427))\r\nassert(isequal(a(mod(a,171)==0),[0 66006 119358 191178 225378 393300]))\r\n\r\n%%\r\nfiletext = fileread('totalLength.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext, 'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":0,"comments_count":7,"created_by":46909,"edited_by":46909,"edited_at":"2023-12-03T18:16:16.000Z","deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":"2023-12-03T18:16:16.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-12-02T17:23:24.000Z","updated_at":"2026-01-04T09:44:09.000Z","published_at":"2023-12-02T17:29:06.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the total length of between all vertices of a regular polygon inscribed in a unit circle. For example, a square in a unit circle would have side length of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"sqrt(2)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\sqrt{2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and each of the two diagonals would have a length of 2. Therefore, for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n = 4\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e the total length is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"4(1+sqrt(2))\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4(1+\\\\sqrt{2})\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. In the hexagon below, there are 6 lines of length 1 connecting adjacent points, 3 lines of length 2 connecting opposite points, and 6 lines of length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"sqrt(3)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\sqrt{3}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e connecting points two away; therefore, for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n = 6\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en = 6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the total length is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"6(2+sqrt(3))\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e6(2+\\\\sqrt{3})\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"328\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"438\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"hexagon\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":57785,"title":"Inscribe a circle in a triangle with a side of length equal to the circle’s circumference","description":"A circle of radius  is inscribed in a triangle with a side that has a length equal to the circle’s circumference. The center of the circle is at , and the special side is along the -axis. \r\nWrite a function to determine the coordinates of the third vertex. If the circle cannot be inscribed, return (NaN, NaN).\r\n         ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 344.7px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 172.35px; transform-origin: 407px 172.35px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 53.675px 8px; transform-origin: 53.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA circle of radius \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 318.433px 8px; transform-origin: 318.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is inscribed in a triangle with a side that has a length equal to the circle’s circumference. The center of the circle is at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"(xc,r)\" style=\"width: 38.5px; height: 20px;\" width=\"38.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 105.417px 8px; transform-origin: 105.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the special side is along the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.6667px 8px; transform-origin: 18.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-axis. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 321.917px 8px; transform-origin: 321.917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine the coordinates of the third vertex. If the circle cannot be inscribed, return (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.55px 8px; transform-origin: 11.55px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eNaN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.55px 8px; transform-origin: 11.55px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eNaN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 262.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 131.35px; text-align: left; transform-origin: 384px 131.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 510px;height: 257px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\" width=\"510\" height=\"257\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.475px 8px; transform-origin: 17.475px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e         \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [x,y] = Barker_circle(xc,r)\r\n  x = xc+r; y = hypot(xc,r);\r\nend","test_suite":"%%\r\nxc = 4;\r\nr = 15;\r\n[x,y] = Barker_circle(xc,r);\r\nx_correct = 4.909246587607476;\r\ny_correct = 33.409674703528040;\r\nassert(abs(x-x_correct)\u003c1e-10)\r\nassert(abs(y-y_correct)\u003c1e-10)\r\n\r\n%%\r\nxc = -8*tand(71);\r\nr = 8;\r\n[x,y] = Barker_circle(xc,r);\r\nx_correct = -130.0150820572266;\r\ny_correct = 52.767782896424826;\r\nassert(abs(x-x_correct)\u003c1e-10)\r\nassert(abs(y-y_correct)\u003c1e-10)\r\n\r\n%%\r\nxc = 1.5;\r\nr = 1;\r\n[x,y] = Barker_circle(xc,r);\r\nx_correct = 1.953199287786186;\r\ny_correct = 2.302132858524124;\r\nassert(abs(x-x_correct)\u003c1e-10)\r\nassert(abs(y-y_correct)\u003c1e-10)\r\n\r\n%%\r\nxc = -6;\r\nr = 3;\r\n[x,y] = Barker_circle(xc,r);\r\nx_correct = -8.464265885195013;\r\ny_correct = 7.232132942597507;\r\nassert(abs(x-x_correct)\u003c1e-10)\r\nassert(abs(y-y_correct)\u003c1e-10)\r\n\r\n%%\r\nxc = -3;\r\nr = 1;\r\n[x,y] = Barker_circle(xc,r);\r\nassert(isnan(x) \u0026 isnan(y))\r\n\r\n%%\r\nxc = sqrt(2)/2+sqrt(3)/3+sqrt(5)/5+sqrt(7)/7+sqrt(11)/11+sqrt(13)/13+sqrt(17)/17;\r\nr = 1;\r\n[x,y] = Barker_circle(xc,r);\r\nx_correct = 23.968050071481240;\r\ny_correct = 9.177341136326962;\r\nassert(abs(x-x_correct)\u003c1e-10)\r\nassert(abs(y-y_correct)\u003c1e-10)\r\n\r\n%%\r\np = primes(20);\r\nxc = -sum(sqrt(p)./p);\r\nr = 1;\r\n[x,y] = Barker_circle(xc,r);\r\nassert(isnan(x) \u0026 isnan(y))\r\n\r\n%%\r\nxc = 0;\r\nr = 30*rand;\r\n[x,y] = Barker_circle(xc,r);\r\nx_correct = 0;\r\ny_correct = 2.225489199919036*r;\r\nassert(abs(x-x_correct)\u003c1e-10)\r\nassert(abs(y-y_correct)\u003c1e-10)\r\n\r\n%%\r\nxc = 10*rand;\r\nr = 7;\r\n[x1,y1] = Barker_circle(xc,r);\r\n[x2,y2] = Barker_circle(-xc,r);\r\nassert(abs(x1+x2)\u003c1e-10)\r\nassert(abs(y2-y1)\u003c1e-10)\r\n\r\n%%\r\np = primes(4e6);\r\nxc = sum(1./p(1:264833));\r\nr = 1;\r\n[x,y] = Barker_circle(xc,r);\r\nassert(~isnan(x) \u0026 ~isnan(y))\r\n\r\n%%\r\np = primes(4e6);\r\nxc = sum(1./p(1:264834));\r\nr = 1;\r\n[x,y] = Barker_circle(xc,r);\r\nassert(isnan(x) \u0026 isnan(y))\r\n\r\n%%\r\nfiletext = fileread('Barker_circle.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":46909,"edited_by":46909,"edited_at":"2023-03-14T02:42:07.000Z","deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-03-14T02:41:59.000Z","updated_at":"2023-03-14T02:42:08.000Z","published_at":"2023-03-14T02:42:08.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA circle of radius \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is inscribed in a triangle with a side that has a length equal to the circle’s circumference. The center of the circle is at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"(xc,r)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e(x_c,r)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the special side is along the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-axis. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine the coordinates of the third vertex. If the circle cannot be inscribed, return (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNaN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNaN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"257\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"510\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e         \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":59249,"title":"Compute the total length of lines between all vertices of a regular polygon","description":"Write a function to compute the total length of between all vertices of a regular polygon inscribed in a unit circle. For example, a square in a unit circle would have side length of  and each of the two diagonals would have a length of 2. Therefore, for  the total length is . In the hexagon below, there are 6 lines of length 1 connecting adjacent points, 3 lines of length 2 connecting opposite points, and 6 lines of length  connecting points two away; therefore, for , the total length is . \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 442.4px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 221.2px; transform-origin: 407px 221.2px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 105.4px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 52.7px; text-align: left; transform-origin: 384px 52.7px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 358.892px 8px; transform-origin: 358.892px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the total length of between all vertices of a regular polygon inscribed in a unit circle. For example, a square in a unit circle would have side length of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"23\" height=\"20\" alt=\"sqrt(2)\" style=\"width: 23px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 176.6px 8px; transform-origin: 176.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and each of the two diagonals would have a length of 2. Therefore, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"n = 4\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 56.7833px 8px; transform-origin: 56.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e the total length is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"66.5\" height=\"20.5\" alt=\"4(1+sqrt(2))\" style=\"width: 66.5px; height: 20.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 224.833px 8px; transform-origin: 224.833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. In the hexagon below, there are 6 lines of length 1 connecting adjacent points, 3 lines of length 2 connecting opposite points, and 6 lines of length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"23\" height=\"20\" alt=\"sqrt(3)\" style=\"width: 23px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 133.408px 8px; transform-origin: 133.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e connecting points two away; therefore, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"n = 6\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.725px 8px; transform-origin: 58.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the total length is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIUAAAApCAYAAAAbBOqpAAAGmUlEQVR4Xu2bS+h2UxTGfXMSRiQKA0oxcYkYKJSSgUKSviK3koFLGEgScgkZuER9A7mVgUi5RBG5pChiQCExcos5z6/OU7tjX9Y57znnfcs5tXrf/3vO2XvttZ513fu/Z7/1WiXQk8CeVSKrBPoSWEGxu5g4Wqx9LjpgaRZXUCwt8fh8L+rRI0Wnxl+Z5skVFNPIcepR8BLfiu4RnTNy8Bf03kNj3l1BMUZq87/zpKY4QfSI6KaR0z2/gmKk5HbwtYPF0w+iC0VvboO/1VNsQ+r1Oe/X7TO3kUuYrSVBgQVcLbp39/SwMxzN4SWu0epeEv0WXeVSoGCxr4uuF30aZe5/+Bxe4jLRYROu/SSN9dgQ2Y8FBRnxUR19pk/Kp9IFID4QXb4Coqpqe4mb9dQTE4KCoQDGK6ILIjoYAgqAcIXoPNFXon2it0TfNRbwke6/J7qlAZxbdf980bHdc7/o833RtaKw65tYmEsOF/ESlKrIkZzDcvpY3x8W1QyTdaC/R0Wnt+QZAQUIprxhUBR1lyiK5MhCjeJDCxr4W7+fGADfkgqcY66/NGjNSyCnd7qJMcoDE2Dw81Micrba9YZuft96rgWKVGEgckhOEHWHX3cLfFafb3crohy7VLR/9zfAWLzdO4fmC2OSDN4hKuUSeAi85qui20T2nPz+WgKOY/S95rndFDtXzxXL3Roo3HtHMXiIMxoT9tcb8RIsEKDlYh2g+lJkD0IYiXqomj5RwF5RK6QtiIn9ftZkNQ9MaHi3sH4M95OO2dv12aruCOd/igBG9qqBAgsmbmGlYxopuMPnRDWX1hIGCny845yy6uIJNAVYcdNYSlEwE8wTHaLlJTAOZFBb+z/dZBHDsUyLXqUECguOucYIjwXQe79EVEqA7BJr5RcC+bVb8Bg+coqZGxRY7pCyG8OgZGxZeAlkllE093IIKXqVEiiwcsfzavwpcErv/irRIaJNKwdbQSSRiljnXKBwQn6amGB3M7JurPaBAc/n1mfLZ5xahZe+i34/LHnKHChSl+3QcaMGYLHOL0h6HqxYBHHrFFErkW0pMfUUNa/TGie9Pwco8A53JzKKKggvQYIdVWZ/nS4Eho6Bfo4QZb10Tmm4+4u62QHFTyKSMpITLMD3eKSkKJBI2bTpWQCHIRLdqbp8U4MCxVwpImkm9iOfCL+begnmIwRgqEMrw6rR5kDhF1A6yV2/eeR62eHlZD3Tj6G4fBjdFBQG6FRegjVNDYrUeh2v+a2V9EWaeunY/k5oTsv19JmonCyDbLKZA4VjOF7irIzCYaJVFUwBCgt4qgTTwpsTFMxhINe8BY3Al0XR3CMHDuRztoj+Rtr4i+RxlkE2X2yBotQwSmN9rrE0BSiwJC7a6pGkzYJD4HTuNr0iNX9ujnT+UpI+1kvk5vNmIzkcV4TvWUDB5O5j8L0fQjYFhRtfoQ2cnqS2DQrYcQjOhVDz1+o+DgF1GrYinrVaHdZyilZrOc09+qAgq/5RNCancDNnDCAigpw7fMCDE+ScwSA3TlZN0YhL12sjjYBicKKZVh+5JNKMeOBc02RsSTo3IOB9CVAwD4ZBrE87sXN4ib4+IuUw+mFD7bicFeU8RYryWjZrZOYSqmp2WzDnCCCIn0Pyi9xUS4EiTcYdKubyEg7nh+tLZEuC8F7cNig1l4zymitylZJDpjdpoiWSmzB7xWxp986HdZrnARoxZClQwIY7w3RjmZdj+1PmEl6qc4pIG8C6KZbMJVDQGOF/DrhyIcRWgJc4vmC9AIvOZyt2uu/Bcb1nCgo9SL/fKaKJ1joz0MDEYuEDPgxAQixt5T8C8ujz7/Y57j53mMbGwv3ITjY8AYhiOVxrQzu36OcMViJWUEsGm5Pr/X4jrKbQsbu1/TGX9BQ+U+JG3xgvkW6NsxaftPpd3zkSeYOIpP46UesUHO83jbW1N0Fi5H0P2t20urmw2PtEtfjeOmSTnteogcH3vtGXbGIUeTl5ZklQMK2NK1IVlJbiEt1NKgyEbYQvRE+LoruybppVT7K1QDFQ3v95nNAB05t07jblof8+oW9vJ9BNQ1GEN4O/1B2OjDHVMxQHnN6qbsDNDQpbCp+t3GKqha/j5CWAtwn9k9ESoIBFSrF9oimO061KHy6B8Eluhl4KFPYYpXOGw5e5vhGVgP8ZKLyHtCQoHEJa/58QXez6XEwChO1BMl8aFLFlrE9tVQIrKLYq/t2cfAXFbuplq1ytoNiq+Hdz8hUUu6mXrXL1L8G1oDnTJsnmAAAAAElFTkSuQmCC\" width=\"66.5\" height=\"20.5\" alt=\"6(2+sqrt(3))\" style=\"width: 66.5px; height: 20.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 328px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 164px; text-align: left; transform-origin: 384px 164px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"438\" height=\"328\" style=\"vertical-align: middle;width: 438px;height: 328px\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA2sAAAKQCAIAAACO9XWpAAAACXBIWXMAABcSAAAXEgFnn9JSAAAAB3RJTUUH5wwDABgnN8HuRwAAACR0RVh0U29mdHdhcmUATUFUTEFCLCBUaGUgTWF0aFdvcmtzLCBJbmMuPFjdGAAAACJ0RVh0Q3JlYXRpb24gVGltZQAwMi1EZWMtMjAyMyAxODoyNDozOU2I0TIAACAASURBVHic7N3BayRb2uf3o+G9dlYPtJV5N1fwQkeinmluvzBDN1czuHmhQjZUGQwevLHrNYOVuRr6LmZgFuNFD68kM43B4JldNbPKTG9c+A8wVG0Utemx0eU2HvAt3nEnGRcG1JubKQZ8K3GPkRdHOjo6kXEyIjPOiYgT38/iUtKVlFkqKeOJc57ndw7u7u4EAAAAUNhfq/sJAAAAoGWoIAEAAFAOFSQAAADKoYIEAABAOVSQAAAAKIcKEgAAAOVQQQIAAKAcKkgAAACUQwUJAACAcqggAQAAUA4VJAAAAMqhggQAAEA5VJAAAAAohwoSAAAA5VBBAgAAoBwqSAAAAJRDBQkAAIByqCABAABQDhUkAAAAyqGCBAAAQDlUkAAAACiHChIAAADlUEECAACgHCpIAAAAlEMFCQAAgHKoIAEAAFAOFSQAAADKoYIEAABAOVSQAAAAKIcKEgAAAOVQQQIAAKAcKkgAAACUQwUJAACAcqggAQAAUA4VJAAAAMqhggQAAEA5VJAAAAAohwoSAAAA5VBBAgAAoBwqSAAAAJRDBQkAAIByqCABAABQDhUkAAAAyqGCBAAAQDlUkAAAACiHChIAKpAu1+lyXfezAABP/qTuJwAA9ZPFX7r6mC0Ev12t0+XHaPAsma+ifi+Z36r/FQ166nMN8fFhulrL/xsNelG/J9+M+j0hRDR49qN+79vV+kf9nvwi9//tP5N/AICGO7i7u6v7OQCAc7LOS+Yr+QdZF8qqzvgYF7K1pvEeWWUm81tVQcbHffmH58eHDx9AfQmgKaggUdRPfvKTup8CUMgff/DpH599+vHTvyGE+P7Tv/nvn336xx98+sn338n/JYSQf1ZvbvTJ999Z/q/Fxk/MvtP+HuP/qjefffdv1PP/wXf/9598lH/4Nzs8T8C/v/qrv6r7KaAyVJAo6ic/+Qm//GigdLlO5ishxOz6Rt841v8rHlb75HsKfmW1+2xZO9z4WdmP3/gp2WVI+3PTP0D9WT5JuS1+/+agp9YvgebgIhIY+iABtEm6XMtuxffz23T5UW77ZtsT7/saH+qtjZWZKuDkVxBCpKu13qcoP+zsaZ9iuvoY9Z9ZvprxTvmE5efKSld5P78VQqT9j9Hgmfq7GNWnXsLq/8v4q2X/+vHxYTR49vz4kIISgAusQaIobh9RC9W/OLu+UTVWdnExj7FWJ2tEWVqJRs6vGDM9sl9TPK0RdZZvgv5dEkKcfXHECiVqxEUkMKxBAmicdLmeXt8IIS7fLcTT3Vt9NW7jvrA+9fz8uC9rJqENpjTc42j2sfm/9OJSLsHK5Ul9mjv7PVHvmX11ow/rxMf9s5PPRHu+MwAahTVIFMXtI5ySVeP7+SpvsU3a2Cwod2xlMk7X1tjUGq0QQu3sq/+b3RbXOymFEGpd9vlxP/7xYae+dfCMi0hgqCBRFL/8qJzsEUx+f3v5blFwQkXVPbLiadQGdHPI6SJLq2gW3ZNwjYtIYKggURS//KiEKm6m1zd508fZIeX4uP+jfo9Fst2oSv3b1X17gBAiPj609FaqavL8xTBdfeTbjv1xEQkMFSSK4pcf+5Cb1LOvbsTDzunGsWX1Znx8eHZylC7Xo5MjVhmrJYt4OaajCso8esL52clnlJLYGReRwFBBoih++VGWXPqaXf9BlSmW7VRZqZx9ccRCo09qefL9fKXSNMWmjkn1fv6NsBsuIoGhgkRR/PKjIDUTo1ckOqM6oSJpiOxm99aDv/m3Q3FcRAJDBYmi+OWH3cZh6rzR6bOTIyHE6OTI61NEYcYsjuUj1eIx/Qaw4yISGCpIFMUvP/JcvF3IBseNrY360S9nXxxdvBzW8yyxK1lNykR3+0fKf2JKSWzERSQwVJAoil9+6FRVIdME82qL+PiQoMFgFBzBkeXj+Ysha8zQcREJDBUkiuKXH9L0+saexSPobgyd6piUa8/iafSSmrkRD0cpUkpCcBEJDhUkiuKXv+Nkm2P2mEFFVo1CCDYxO0UP+Mz7GJnoSRhQx3ERCQwVJIril7+b9PmYvEXH0cnRj/o9CseOk6WkvMfIG8CnF7bLuIgEhgoSRfHL3zV6BnjeyTHnL4YcfwdDulxfvlvIo7qNnxx5EI487YYlya7hIhIYKkgUxS9/dxSZrWZOAnb23W2WJDuIi0hgqCBRFL/8wVOLjnnzMXK3mus9SrGEAel1JF0QweMiEhgqSBTFL3/A5LajHK8WT5ceyYtGVTbeoujNtecvhtyfBIyLSGCoIFEUv/xBSuar8ZsPIlM1qt1qNhlRLbUkKYTYGCMqM0T5qQsPF5HA/EndTwBADYzVIGNxMV2uZZsji46oXDTojQZHo5MjlQ9lnJMuhLh8t/h2taZlAmgy1iBRFLePYdBjHbPkidWMyMCb7M2MsRzOKngwuIgEhgoSRfHL33bqUm0cQiiv2WwdokbykJvLt4uNh2TK9B8ZHVXXM8T+uIgEhl1sIHz6dqHINJ9F/d7k1eck86FG0aAXDXrxl3051BWt1vpKZLpaJ/PbdPnx+XGf5gqgIagggZAZe9bG4cU0O6JpokFv8urzjb0Wyfw2md++n6+oI4EmYBcbRbEB0S554Y6qdmTDGg1nCSiVTRfUke3CRSQwVJAoil/+5kjTNEkSIUQURXEcm/83/zRC5hLQOpbZr7w6Mk1TIcR0Oo2iaOPvCGrBRSQwVJAoil/+JkiS5PT01Hjn+fn5xcWFeHqtZaYVIdkY/SPpP9tpmk6n08vLyycfEEVnZ2fydwQ14iISGCpIFMUvf+0uLi6MS6MSRVH89/9R0vs7IrPuyJA1gpGXJyCEiAa9+D/4dvpP/pu8z1U3WqgLF5HAUEGiKH7562UpH+/98LPoH7xO/7//SL2DdUcEKbc/8p//p/ZPpIisFxeRwPy1up8AgO2SJNlSPgoh/t0f0v/tX6q3zl8MF7/6BeUjwhMNehcvh4tf/eL8hfbj/b/+462fOJvNZAMxgP2R5gO0wGw2K/Rx/9fb6G/93SiKzl8Mhfg2Sb51/LyAOsX/oYj+/P+9P2L73/6fWz8+TdPLy0sGa4BKUEECLVB84ST9X/77VIjkf3D4ZID2kmPaAPbHLjbQAlz2AACNQgUJAOgKbsaAqrCLDbRA9Lf+bvqv/4+iHxxFLp8L0DjF68L4v/ivXT4RoEOoIIFGS+ar8ZsP6V//iRBFK0ghxGQyYVwAXZCm6Xg8Ll5BJvPb4a9/S8oVsD92sYGGSpfr09dfn77+Xbpciz97KX74WdFPTNPT09NSl1WgddI0vbi4GA6HJQJ6fvhZ9Bd/KYSYfXUzfvMhe9w2gOJIFEdRhMH6dPF2YRwEHP0/f5X+yy9LfREOc0OotgfsbxL9g9fpX/+JepPjmjzjIhIY1iCBZkmX6/GbD/L832jQe3x/gQVFowNSpt8Nh0OKSAQjSZLhcJgtHwu1//67P+i/U8n8Vi5GVvoEga6gggQa5OLtYvjr306vb4QQ6XItd9miQe/qy5+Jt//j1k+Pouj8/Nx4p6ojOY0DrSbbM05PT427Kfljf3Z2tv1L/Kv/efLq89HJkaoj5QGJ6pcOQHFUkEAjqKVH+aa6wsnDCWf/bPuJbUKINE1Ho9FisdhYR47H44uLC5oj0TqWlsfz8/PFYjEajYpsaqdpOvtn//j8xfDsiyPjf43ffBj++rd0RgLFUUEC9Uvmq/Gbb/RVkHS5lkuPFy+HSZJMp1P1v0ajkb5hpxeLcrkxiqKLi4vFYmGMY8v/e3p6yqY2WkTWjtkCMY7jxWIhf5jH47H+v0ajkfpzFEX6m0mSpP/6f794Obz7n/6T+PhQ3qrJX7d0uT79zdcXb5/0HwPIQwUJ1EwOXCfzW/mmvKRNXn2++NUv4uO+EMK4dhrri8YFcjqdynWaKIqurq4mk0lec6RelQINZGl5nEwmV1dX8mc7SRJ9bXI0Gj1//lz/+Oxdlvzz5NVP1WKkWn18P1+xGAkUQQUJ1EY2YCXz2/j4UL0z6veuvvzZ6OT+wmZcHc/Pz7MTA0ZNqa/HjEajq6urvE3tbEsZ0AR5LY9C27ZW7zFKzMlkYnyKrDjVm+p3Khr0Ll4OF7/6hTFeI4RgMRLYigoSqIHMerx8t5BLHcn8Vk5en78YXn35c7n0KOnloNyezn414wKZpqm+vqg2tbN1ZJIkbGqjUewtj3d3d8aPq1p0l7LloxTHsX7r9eTXatC7+uXPz18MxcNKpBxiu3y3IDMSsKCCBHxL5iu59KhfnOLj/tUvf25E0xmDL3lXRyFEHMd61+PGjT9LcySJP2iCvJZH2ZKx8UdU/+A4jvW1SeMrGHvZ+ldTi5H6boAQYnp9c/qbrxnTBjaiggS8uni7yObPnb8YTl59rm+lScbV0XJQYfYCacwWqA+zN0eS+INapGmaVzvKbeuNP/zGLVZ2lV03Go30LzKbzcxUoEFv8uqn5y+GT3JYl+vxmw/saANZVJCAJ3LnevbVzdOlx0M5cJ39eKMEtF8dRabENBoodZbmSI5DhGfybmc4HOa1POatjuszMWLbLZZkNHtsKFgHvYuXw6tf/lwvIqNB7/Ld4vT11+xoAzoqSMCHZL46/c3X6WqdKR+fdD0+fnwmwWfr1VEUuEAqlubI6XRKcyT8kNvW2VgAPaknj3GLZenxUPKCC8wPe+iMVFk/Qoh0RdYP8AQVJOCc3LlWZ8wIIdTQTN6n2BN88hh72ZZlSPXxNEeiFhcXFwcHB3ktjyqpJ0+RjIKNjF+lvLssuRh59sVRNOjJ5kg1XkNbJCBRQQIOqZNm9NoxPj7MDs3ojKWR4ldHkckb39gNaZCj3NlHoTkSLshmibItjwbj04vf6mSTfSzBqHJH23jn+M0HjtIGBBUk4I7cuVYrFjKv5+yLo6svf54dmtHpV8e8BJ882ZGaIsnh8lFojoRTWw8nLPijXjDBJ8/W4AKdGq/R3yOTXNnRRsdRQQJOTK9vTl//zmi9ty89SsUTfPIYTZOXl5cFiz+1qZ2NRKE5EnsqcjhhQfrKuiXBJ0/B4ILHjx/0Ll4OJ68+v//4h1/q2Vc3FJHoMipIoHrZfS7Zm29fehQ7jZdulHeMWxHGkXHG16E5EmVZDics0vJoKJtRsFE2uGDrXdbo5Eg/vUa2Rc6+ujl9/fUOTwAIABUkUCUZ2ZPMV/o7jWuPRSVXR5FZmNk6UrPxK+RtatMciYLyDics1fKo2y2jYKPiwQVKNOgtfvULPbo1Xa6T+S1BP+gmKkigMrLxUR42o64xk1efq/2vLZ/+tM7b5+oo9luGlCyJP3Ljz9hwB5SqWh4Nu2UUbFQw2SdrdHJ09sWRyvqJBj2CftBNVJBANS7eLi7fLrJp4aOTo4Jfwbg67tABqcvOnO62amhP/KE5ElmWwwl3rh3FfhkFGxkFaJHgAuni5VD9XsvtbLmjTdAPOoUKEqjAfWTP6rF8jPq9vLTwjfYcL90ojuOyyT55th6HWGTiG8GztDxOJpPFYrFPzbdPRsFGxl1WweCC+88d9K5++XPj/pDzD9EpVJDAXmTjY7r8qL/Tnha+kTFAU3a8dKPszOmeF13LcYjj8Tjb7obuyGt5FA/b1nv+SO+fUbBRqWQfgzwXwDi6hvMP0R1UkMDu0uV6/OabZH6bzG/lm9GgN3n1+dbIHoORtrhPd5fBaKaczWZ7FnmW5sgkSdjU7iBLy+NoNLq7u6vkR6KSjIKsssk+5qc/HF2jvzOZ347ffFPJ0wOajAoS2JGam5FvysDwyavPizc+SsbeWYVXR2mHmdOtOA4RkqXlUbY9VPIoVWUUbJRN9inbMXzxcqjCFu7XI1fr4a9/S1skwkYFCewima+MwPCo37v6ZYnGR8W4OlZ10VV2njkt8pXtzZEk/gQsTdO82nG3pJ48FSb45Nn/Lku2RcbHh+o1QR6iTVskAkYFCZR28XZx+vp36s37o663nVW4kbHgsf946UY7z5wWYWmO5DjEIMmt3uFwmNfyWO0KdIUJPnmMvezdggvk+Yejk6No0FN1JEUkAkYFCZQzfvPh/dPA8Pi4X3ZuRjGujo42f/eZOS349fOaIzkOMTBy2zr787PD4YRFZDMKXNxiCSFGo9H+wQVytka1RcrGaIpIhIoKEijh9PXX0+sb2fsoVxzPXwwLBoZnuUjwybPPzGlBqo7kOMQgTafTg4ODqg4nLMhI8Kkko2CjqoIL5GzN+Yv7WTo1oG0ccwoEgAoSKGr85oOamxH3iY8/Kzt2/eQLauscVSX45Nlz5rTUA8lNbZojg6EaEoz3V97yaHCU4JOnwuCCi5fDqy9/Jh7uM4UQ0+ub4a9/u+9TBJqEChIoRK4+6u85fzncYW5GcTpeulF25tRRh6JcjKQ5MgCODics+NCOEnwsKgwuiI/7i1/9Qn/PQ3YsUZEIBBUksIV83X+y+jjoXX35s33KRw/jpRu5SPbJoza1s2urNEe2Ql5Sj6OWR4P/WyyR2Sjf+SzQ+6826F398smAnTxBmyISYaCCBGzS5VoPfRT3E5ef71M+Ci/jpRu5S/axPOJkMrEk/lBHNpDlcEJ3LY/GE9B/Mr3dYomnv4z732VtKCKX68t3C4pIBIAKEsgly0f9tX50crT41S/2LB+Nus1Rgk8e4+EcdUMaLIk/so5kU7sh8g4ndN3yaDDqNtcdkDojuGDPZUjxtIiULybJfDV+8w1FJNqOChLYLJmvhr/+bdR/PGciPj7ceexaZ4yXel6Ey47UVJvsY3ncvMQfWbUYYxPwrMaWR4PPjIKN4jiu9i5L5Y3LN9PlWm5nJ09zwYB2oYIENkjmK5m+oQ68lpnh+39lz+OlG3lI9sljPw6R5si6WA4n9Fk7Sj4zCjaqKtnnydcc9Cavfnr+YqgWI9PlevzmA0Uk2osKEjCpEwtV91JV5aN4Wq75GS/N8pbsY3kCHIfYEJaWx8lkkk33dK2WAZqsCpN9lGjQG50cqbxxIXsi3y4oItFSVJDAE7J81N9TYfl4enqqv1nX1VFsSvbxX7RxHGK98loexcO2tf/FP6OnwucATZaL4AJZRKq8cSFEMr9lJRItRQUJPEqX69PXv1NLj1G/Nzo5qqp8rHG8dCOfyT55OA6xFpaWx9FodHd3V9e3vSELkJKj4AJVRKrXGbaz0VJUkMA9OSAZHx+qGclo8KyS0RmpxvHSjYy97FqWIdUzsTRHkvhTLUvLo2wtqOVZicxPoOeMgo2MEraqZo+N29kUkWgdKkhAiIfN62R+q868Hp0cVVg+1j5eutFoNPKf7JOH5kjX5Lb1xtrRZ1JPHuOJNeG2wUj2qTC4QD8+W83WUESiXagggSeb1w/BPf0Ky0eRSfDx32G2kYuZ0z3RHOmCHJZqQlJPnmbeYgnHwQWyiFSbHhSRaBcqSHRdulwPf/1b8RD2my7X1a4+imYk+ORxMXO6J5ojqyW3rbOLZ34OJyyo9gSfPK6DC2QRqUdFjt98IGwcrUAFiU6T5aN+5lhVseGPD/F0SKWuBB+LJozUZKk6kuMQd5YkycHBQY2HExbUqAGarGxwQbV3WaOTo+dPj7ni7Gy0AhUkOk1ffZS9j1VNXisNvzqKzK56jSM1WbLWsRyH2Jyn2igqqcd4f0NaHnVJkjQnwSePcZdV7TKkms6WK5EybJwiEs1HBYmOSpfr09dfqzejQS/q96pdfRTNS/DJY+zTNWQZUuI4xFKaczhhQcYPWwNvsYT74AJZRD4/7uvb2RSRaDgqSHTU+M03+pvxcb/y1UfRvASfPMbMaaOWIaW8xB8hBMchKnlJPY1qedQZAzRNSPDJ4zq4QBaR6s/ivifyG+snAXWigkQXnb7+WgX3CCEqH52RGjteulEcx81J9smzNfGnqrCV1rEcTtiolkeDkVHQwBpXyY7UVP7Dps7OlkeqRoNeunqyVQI0ChUkOkeWj+rNaFD95rXU2PHSjbLRd429nFsSf2RmTac2tfMOJ2xgy6OhyRkFGzlN9pHkSmQ06MluyHS5lsceVv5AwP6oINEt4zcfjPJx8atfOHmgxg/QZBkXyCYk++Qp0hxZx/PyqnUtj7rmZxRkuU72uX+UQe/qlz9XO9pCiGS+uni7qPyBgD1RQaJDkvlqen2jv8fR6qOxw9XYAZqsZib75OnycYj2wwmb/xdv4y2W2JTs46JjOBr0jIOzZ1/dUESiaagg0RXJfCU3g9Tr8uJXv4ifxrBVpaVXR5FJ9jFaOZupa8chWloeG75trbQlo2AjP3dZciVSfw9FJJqGChKdII+9VqfOCCGuvvyZHiRe5WM9vTo2ebx0I6PebeZITVYXjkPMa3kUbdi21rUlo2Aj18k+jw+ktWjLnsjZVzeceYjmoIJE+ORBYfp7Jq8+d7T6KDIlV1su6kp2pKYtA84BH4doaXlsbFJPnnZlFGzkOtnn8YFOjs5fDNWb6XJ9+XZBSCQaggoS4Ru/+UamY8g3z18M9S71ak2nU3196OrqytEDOeVh5tSd8Joj7S2PjU3qyWMk+DQ8o2Cj7EiNux8qeXC2fPmKBr1kfnv6G/J90AhUkAicHL6W6RhCiPj48OLlcOtn7f5wTxN8WtTdpfMzc+qUXEnNthC0qzlSblu3uuXR0LoEnzxG76bT4IKLl8OzL47EQweOEIKQSDQBFSRCNn7zQQ5fyzXI+PjQxcEzjw/X2gGaLD8zp07JxciWNke2OqknTxsTfCx8BheMTo70Aw+T+S1TNagdFSSCZWT3RP2e0/IxSZKWJvjkaVeyTx61qZ3dLW1sc2TrDicsKKRbLJHZgnd6lyWPq9GH/y7fLSgiUS8qSIRJZfdI8fHhucvNa5FpFmz71VF4nDn1QG5qZ1sGm9Yc2dLDCYtodYJPHqPZw+ldlsz30YvI9/MVo9moERUkApQu1yq7Rzp/OXQ3fC0y46WtS/DJ423m1I84jvM2tWtvjmzv4YQFtTrBJ48RXGBsRFT/cIOePpqdzG8ZzUaNqCARoPGbb/Q79fMXbstHkRkvbciC1v6yIzVtSfbJYz8OcTweG6MeHgTZ8mgIIMEnj+fggtHJkQyJlC9x6Wo9fvON00cE8lBBIjSnr79O5rfqvnx0cuR0+FoENF66UauTffLYE398NkeG2vJoMDIK2pjgk8dnso80OjlSeWRyqsbIuwX8oIJEUJL5Kpnfqjcnrz53dPK1Eth4aVYAyT55th6H6HTB1dLyuLFls70CG6DJMn7rnSb7SOcvhlH/PiFSCDG9vtGnBgE/qCARDnl0of4eR+cW6oK/OorMolGrR2qyLMchjsfjjUcI7mnr4YQhLdEZnQ9hDNBkeQ4uUKPZcrMlGvRm1xx4CN+oIBEOYytn8atfuG5/DHK8dCOfM6f+WZojkySpcFPb3vJ4d3cXzLa10oVbLJFJ9jH6Pp084tNTs9nLhn9UkAjE+M0H1fsoJxY9LEAGOV66UUjJPnlcH4doP5wwvNpRZH5Ogsko2Mgojj00e8THfX00W2TuogGnqCARAqMNKOr3XE/PiKDHSzcKLNknz9bmyB1K5zRN82rHMJJ68ug/JCFlFGxkJPv4CS7ITNWsiBmHN1SQaD0jPDwauD17RjESfELqXdvI/8xpjSzNkaWOQ5TNlMPhMK/lMeDv4XQ6DTijYCP/wQVyvyU+PlRbLrOvaIiEJ1SQaL3LtwuhDc24Hr6Wwk7wyWM0enqYOa2RpTmy4HGIcts6uxAVWFJPHiPBJ9R1Vl0twQVyqiZdruVgTdTvXbIMCS+oINFuMv1RCCGbID2Eh4sOJPhYhHFYdnG7NUdOp9ODg4MgDycsqCMDNFnGq4GfjuFo0Lv68mf3jzi/Tea37GXDAypItNj0+kZPf4yPDz20P4rM1bEjC5CSsV8f5EhNlmxxyw6CZJsj1TZ39iuE3fKoMw73CzijYKNa7rLkVI3ciokGvdlXNxSRcI0KEm2VLteq/TEa9Ly1P2YTfIJfTzKEneyTRy5G2psjgz+csCDjR6I7C5BSXcEFavslXa7T5ZqGSLhGBYm2unz3eIedLtd+2h9FlxJ88hgzp8aCU9jUpnZ2cGo6nQZ/OGERRkZB2Ak+eWoJLpAJkaojXL/HBlyggkQr6fE9D9OIztsfRfcSfPIEeVh2cUUOHuxOy6PByCjoVPWsZEdq/Nxlxcf9sy+OHh+XIhIuUUGifYyXRT/pj5IxXhp8gk+egA/LLi6Koq5Vh1t1M6Ngo7ruskYnR/HxoXozXX5kLxuOUEGifeT+tdqsOa+jfBTd6+4yZGdOA072MVgOJ9Q/RnZGdurb0tmMgqy67rLUkdnyTU47hDtUkGiZi7cL/fgZD4dfS8Y+VNfGSzfqWrKPZDmccGPiT4XHajcct1gGY5vC20iNOtZV1pHpcs1cNlyggkSbJPPV+4cdmXS51k9icI2rY5aR7GM0iYYnSZK82nEymSwWC/txiGHPG2UzCrjFEvUFF4xOjqJ+T6bkCiFmX92oPwNVoYJEm4zffEhXj6+DfuJ7RObq2M3x0o2MSjrUbkiZ13N6epp3OKGqpC3HIY7H441fIQxkFGxUV7KPEOLqy5/LG+z4+DBdrk9/87Wfx0V3UEGiNcZvPsics4f0x5/5e2itMOrseOlGRrKPt5lTbywtj6PR6O7uLvvDYDkOMUmSIDe1ySiwqCXZRzp/MRRCqFO7aIhEtagg0Q7JfKXaH+XZr37aHwXjpdsEnOxjaXmUG9aWz93tOMSWMhJ8OptRsFF2pMbbP/3o5EgWkVIyXzGXjQpRQaId9ONnhMf9a/H06tjx8dKNgkz2SdM0r3YsdTihqjW3HofYXtxibWV0hc5mM2/NDKOTIz1jfHb9Bz+Piy6ggkQLyP1r9TpY1/61YIAmRzbZp72FkayAh8NhXsvjDgtIluZIeRxie5sjSfApqK7gAnlQjXozma/Yy0ZVqCDRdGr/Ws4S+ty/Ns7rY7zUIoxkH7ltnW3l3P9wKT7qFwAAIABJREFUQktz5HQ6bW9zpHGLxQJknhqDC+Lj/ujk/qCadLkmYxxVoYJE010+TTKra/9asABpVePMaSWm0+nBwUFey2NVhxOqOjJvU7tddSQZBaUYLyA+77KedkPeXhIPiSpQQaLRptc3T+N7/O1fG4sEXB23qnHmdB9qK9l4f9mWx+JkVZr9iWpdc6RRA7Wr/PXPCC4wtjjcPvSgN3n1uWwEiga9ZH5Lxjj2RwWJ5kqX68t3C9UBOTo58rZ/LTLjpVwdt8qO1DQ82ceS1LNzy2NB8ieq1c2RJPjsoMbgApkxHg3uY8bJGMf+qCDRXPL8a/HQAalvxLjGeOluWpTsk5fUs3/LY3FqUzsbf9P85kh91dY4vg956g0umLz66eNDL9fqBRbYDRUkGmp6fZMuP95Pz2hbMB4wXrqzViT7WA4nrLDlsTi5uWlJ/GlgHUlGwc6ywQXeFpuzc9mM1GAfVJBoqNn1jTxKQTydJfSAq+M+jOWoRo3U5B1O6K7lsThL4o+sI5uzqU1GwZ5qDC6Qr6Xx8aHglBrsjQoSTaS/rkWD3tnJZ94e2qh4uDruwFiGbMJedo0tj8VZEn9k7duEJynIKNhbjck+Qoizk8+S+a3c0qGIxD6oINE4MgBSX4Csa4BG0AG5k+zMab3LkPbDCRtSlikNPw6RBJ9KGGW3z2YPuQypxmjYy8bOqCDROMa5Wz4HaBgvrUocx01I9rG0PE4mk3q3re0aexyi/k9JRsHOjLssz8EF+osqRx1iZ1SQaBZ1Ao0QIhr0zl8MvQ3QiMwR2IyX7iw7UuO51MhreRQP29at+Mdt2nGIZBRUqMbgAmOkZnp9wzIkdkAFiWYZv/mgSsao37t4WVuCD91dezJaSGezmZ9yx9LyOBqN7u7u2rVs1qjjEMkoqFC9wQXxcV/O0wghokGPbkjsgAoSDaLOv44Gvfj48Nxj+UiCjwv+Z07tLY/tXTNrQnMkGQWVyyb7eGtOiAa985fD0cmRzBhPl2tOqUFZVJBoEHkCjXiIEPc5QGNcHdtbajSKz5lTubG7sXasPamnKjUeh0iCjyP1Jvuky4/qTU6pQVlUkGiK8ZsP+uuXzwVIxkvdMVaqXFwg5fZfw5N6KlTLcYgk+Dhi7GV7Di7glBrsgwoSjZAu12qARtR6BLYQIrCCo17ZZJ9qZ07ltnX2a/o8nNA/z8chGovH3GJVazQa1RVcEA16+istyT4ohQoSjTB+843+pj4n6BoJPq45mjlNkuTg4KA5hxP6pzKJXB+HqH+TSfCpXHakxnOyjxpeTJfr5Pe33h4abUcFifoZd70+AyDF0zt+EnxcqHzmVCX1bHygMFoei1PNkcb7q2qOJMHHA6Ov1HOyj/6Sq5rRga2oIFG/y7cLdQJNNPCa4MN4qR/ZmdPdevVacTihf0WOQ9z5G05GgR/1Jvs8ZqgNenRDoiAqSNRMP8BQ+F2AZLzUp/1nTvOSesJueSwuL/FHCHF5eblbcyS3WN4YGyC+k31eDIUQMiGSgHEURAWJms20AZr4+HB0cuTtoRkv9WmfZB/L4YQdaXksbutxiMV77Iwihlss14xlSM/JPvHxYTK/lVvYBIyjCCpI1CmZr9IVCT5dYdToRfbp8g4n7GbLY3GW4xBl8lGRTW2jgqED0rVscIHngHH5B5EJxwA2ooJEnZLf36qubc8JPnr5wnipH8YF0j5zSsvjnoo0R1o+nYyCWsRxXFeyjzrnMBr06IZEEVSQqM30+mb21eNt7tnJZ94emvHSuhRM9rEfTkjtWNzOxyEaAzRkFPiRDS7w+dN+/nIY9e/XIMXDMbNAHipI1EaPjYiPD+uKEGe81KetyT6Wlke2rXe2tTnSWOg1DrahRdgno990Npu5OGRoI/kifPbFkdrL9vO4aCkqSNRjen1T1xmGjJfWK5vsI8uXvJZHwbZ1RSzNkfpxiEZ3AbdY/tV4WPb5y6Hcv5aHHLIMCQsqSNRDb7LxuQBJgk8TZC+QeS2PJPVUy9IcqY5DNG6x6PHwb5/ggj3Fx30jYNzP46KNqCBRgxoXIEnwaQJjLztJEpJ6fLI3R5JR0AQ7BBdUJf7xofozQ9mwoIJEDYwMSG8LkMatPFfHGo1Go7xvPi2PfsjRePtvAau/dSkVXFCt+Lgf9XvqlBqWIZGHChK+GXe0k1c/9fbQ+kIXCT41kpfDjfMBtDz6JH8LNjZHSsZIDXwqGFzgwvnLobqxT5drjqjBRlSQ8G2mHWMYHx+qO13XSPBpiLykHiEEST21UJva2f+lmiO9PylsDy5wJz7up8uPMh5ScEQNclBBwit5CrbKrfXWAWnMMzJeWou8pB5lNpv5fD7Q5f27bE2OhDvZ4AJvS8LnL4fqVl8IwTIksqgg4ZXsgJQvTPFx31sHJAk+9bIcTrgx2QeeGRkF2c7IvORIuFZXso86okbIZJ+3dEPCRAUJf5L5Sr+pfX58aPngKh/3aV1Cgo9PWw8nrDH6Dorxbb+6uso7DnE8HhsNIXCqxmQffY8omd+yDAkDFST8SX7/WD5Gg97o5MjP4xpXRzogvbEcTqjGZYyZU5Yh/duYUWBP/KE50idjXt5bN2TUfxZr9/mz6z/4eVy0BRUk/Hk/Xwkh5OiMHlrrlHF1pHz0w3I44WQyWSwW+hUxjuNaLpCQLBkFW49D9BYx02XZkRo/3/Zo0DvT7vOT+YpzDqGjgoQnF28Xcgs7Xa7j40NvC5B6ORLHsb4fBBe2Hk6Y/SfIXiBZ3/KmSEaB5TjE8Xi88d8a1aor2UdvVZfnHPp5XLQCFSQ8+XZ1f/MaDXrR4JmfB2WAxid7y+Pd3Z2lLjSaU2ezGUWJHwUzCizHISZJwqa2a3Ul+0SD3uTV5+Jh7yhdfvTwoGgLKkj4ML2+UUHi6XItX5JcM/Z6GKBxytLyWDDlkZEa/8reYtmbI0n8cSqb7OOnYzg+7keDnty/Tua3HHIIhQoSPuh7H7XsXwsWIJ1J0zSvdix1OGGNM6fdZCT4FL/F2tocyT+cI7XcZUWDXtTvqZEaNrKhUEHCuen1jd5/fXbymYcHNW7QOQLbBbmVNhwO81oey65IGVU+IzVOGfVH2VssS3Pk6ekpxyG6YOxle1uGnLz6qQpi45BDKFSQcG6m7Xqcvxj6SRE3ro5srlVObltnZ0LjON75YGsj2cfbzGkHZTMKdrjFsjRHchyiI6PRyH9wgRG+RqwPJCpIOJc+maHxcQo2CT5OTafTg4ODvJbHq6urfZZ765o57RojwWefjAKaI32qK7jg+cNRtIJYHzyggoRbF28X6rUmXa79NEGS4OOI2qA03l+25dGirpnTTimS4FOWXD/OtovQHFm5WoIL5N6RfDEn1gcSFSTcej9fxQ83r35SxBmgcWHr4YQVLoRkZ07pqKuQMYFhSfApSy5G0hzpgf+RGhnrozaRaIWEoIKEU9Prm2R+q4LEPSxA7jxeCou8pJ59Wh7tjAsky5AVcn2LpTa1s2v/NEdWxWg88DNSEx/39Q0likhQQcIhfYZmdHLkoQlyz/FSGCyHE+7f8mhR18xp8IzvpLtbLLmpnf0JoTmyKkazh59lSH0f6fItG9ldRwUJh1QAhHhoxHbKGKAhwWcfeYcTVtjyaFfLzGnwjDrD9ZBZHMd5m9qyjmRTe2dGcIGnZcgfH2ob2bcsQ3YcFSRcUUcXyFccD1vYxngpixy78dnyaJEdqSHZZ0+1ZBRYEn/kXYox1oPi4jj2fJcV9e8PpI0Gjxnj6CwqSLji+RwaF+OlHWQ5nNBb7aiQ7FOtGjMK7Ik/NEfuxn+yj9zIloccJvPb8ZsPTh8ODUcFCSeMwDAPU9iOxku7w9LyOJlMFouF/5YAkn0q1ISMgq3HIbLMXJb/ZJ/4uB/1e0KIhzqSjezuooKEE7PrP6h2mfi473qG5vT0VH+TAZpS8loexcO2dY2BmtlkH0ZqdmD0ANSbUWA5DnE8Hm/8OYSF52Qf9WIu1wiYp+kyKkg4oZ+F7XqGxtt4aXgsLY+j0eju7q4Je4v+o+/C04QFSJ2lOTJJEja1SzGSfYxuVxfOtK4kdeQYOogKEtWbXt/oi46umyA9j5cGw9LyKLcaa3lWWST77Mn4jjUno4DjEKtiFOKumz3k+TTqRX6qpbahU6ggUb3381u5ABkNeq7LR47A3kGapnm1o5+knrJI9tmH8Q/dtLJsa3MkNwxbGck+roML5CC22mWaUUF2FRUkqqduSdPl2vUMjZHgwxHYdrLVbGMOn8+knrL8z5wGw7jFurq6qu+52FiaIzkOsQjPwQXnL4fRoCeHacRDTyS6hgoSFUvmK7m7of/XERJ8SpHb1tnFCXeHE1bI/8xpGIwEn6atLusszZEch7iV5+ACecLhffm4WrOR3U1UkKjY5duFuit1uoVtDFU0/OpYr+l0enBw4P9wwmoxUlNW0wZoilB1JMchluU5uEDtL6XL9ewrKsguooJExZL5rVp3PDv5zN0DtfHq6J/aBDTe39iWRwujS4GRGrskSZqT4FOWvLexHIfIP/1GPu+y4h8/CdkgGLKDqCBRJTmFrXpi5MieCyT4bNWQwwmrZezTsQxpYXxzWneLtfU4RJojs3wGF8THfXWwYbpcJ7+/dfRAaCwqSFTp8t3CzxQ2CT52eUk9rWh5tDBmTo1lNijGAE1zEnzKykv8ETRH5vAZXPBcWyNgI7uDqCBRpXS5lgN6QojJq88dPQoJPhaWwwlb1PJoEcex/ldgGXIjI6Og7WXW1sSftv8FK5QdqXF3lzU6OYqPD9VQNhvZXUMFicrIcTw5oOc03MEYLyXBR8o7nLCNLY8W2eg7qgdDqBkFlsQfWUeyqS15S/aRiwWPQ9lk+nQMFSQqo+fKutvCZoAmK8iWRwvjAkmyjy7sjIKtzZGB/ajvxmeyz9nJkeqGJFq8a6ggUZlk/thJ7WgK29iRYYBGCDGbzSzb1qFeUEn2ydOFW6ytxyHOZrOanlpTeEv2iQY99cqfzG/ZyO4UKkhUQyXKyn0NR1PYXbg6lpW9MMh93mC2rTcykn2M1tjO6lRGgaU5kh8G4esuS5/IFkIwkd0pVJCoxvuH21B3QeLG1bG946VOyW3rLvSGGvcPHJYtOplRkNccCW/JPtHgmXhYO/h2RStkh1BBohr6GqSjs7D1EiGA8dLdyJbHjW1/cRzf3d1159uSHanpeLJPZzMKLM2RUnd+KQx+kn1kz5IM4nDx9dFYVJCogHEoqovXkel0GuR4aSl5KY8qqaeWZ1UjbzOnrWAk+HRhHVq3tTmyg3VkdqTGxTch6j+7//rLdTJf0QrZHVSQqMB7bYbGQwdkYOOlRcg5040V0mg0Crvl0cLnzGnDhZrgU5a8m8pWz509DtHohXURXBANevrhNJdvF9V+fTQWFSQqoN90Pj8+tHzkbro8QCOrIsuV7/nz536fUbN4mzltsrATfHaQ90vRzeMQPYzUnL+871yKBr2UVsjOoILEvowt7MrXII2T68IeLzXIbeuOt/dtRbKPcYvV2QXIgrp2HKLR0uDiLkvfyOZwmu6ggsS+5HlW8s+jk6PKmyCNgqAjC5D2wwkZQtd5mzltpmyCDz8euiiKFotFx49DNJo9Kr/LigY9PYKDTJ+OoILEvpLf37obwTPGS7uQ4NORwwmr5WfmtJk6mOBTlrzvshyHGPwthxFcYGzsVEL1L0WD3nvWILuBChL7uny3UGuQlR9FY4yXhr1g0LXDCSuUHanpyNZ/ZxN8yrIfhzgej/NCsoLhOrhArSOky7VMiETwqCCxl+n1TXx8qF47qm2C7NR4aV5STxzH1I5FdDPZx8go6FqCT1n2xJ+wmyNdJ/tE/WdqI5tMn46ggsRe3s9vk/mtXIOsNki8O+Ol9pZHuh4L6mCyT5czCvZhOQ5RbmqHuoBtvIpWm+yj9zKly/Xs+g9VfWU0FhUk9pIuP6o/V9sN2YWrY17Lo3jYtg61aHbEWIQLe6TG2KnvVEZBJfKOQ1T5WUFuajsNLtBbIVmD7AIqSOxFj/6qcAs7O14a2NXR3vLYqcMJq+V65rQ5unCL5Zq9OTLITW0j2cfoo91TfNyX0eIy00f1xyNUVJDYnUyClEuP0aBX4Rpk2OOl9sMJw7to+dSRZB/j79WFjAJ3unYcolEuV9jsIePEZWc8Z2R3ARUkdqffaFa4ABnweKml5ZFt66p0IdlH/0sFn1Hgx9bmyGBuRYxkn2qDC6J+Lxo8k9cF47AJhIcKErubffX4AlHhYYZGgk8Y46WyucrS8kgRUBXXM6e161RGgWeW5siQjkN0F1xwdnKk9qb0CwSCRAWJ3eltLlWtQQZ5dcw7nJCkHkeMxtlqZ05r15GMgrpYmiODOQ7RXXCBuhDQCtkFVJDYkbFDUUnXS3gJPhcXFwcHByT1+BfqYdkM0PgRfHOk8epaVccwHZCdQgWJHaXLtZqh0U9E3YdxdWz1AqTc9qLlsS5G/0MYIzXGYXThZRQ0jWwZzA4qhdEc6eguK+o/VpC0QoaNChI7ej9fyR2KdLmupAkym+DT0vU5DidsiPCSfYy/AguQHsjFyCCbIx0FF5y/vD9aglbI4FFBYkfJ/Fb+YXRyVEkTZBgJPhxO2BzGzKmxgNc6RkYBCT4+qU3t7GBfq5sjXQQXRP1nMtAnXa719UiEhwoSu9CTIJP5av/GlwASfDicsIFCOizbyChoacnSavKeJPu73N7myOxITSV3WeqoWyEEh9MEjAoSu5OtkJUsQOr3vsbZdM2XdzghLY+1C+aw7CAzCloqjuO8Te02NkdWfpcVDXrxQ19TMr9Nfn+75xdEY1FBYhfvH7awKwlraO94KS2PzZedOW1d11p4GQVtZz8OcTweGxV/k7m4y3quLSu8Zw0yXFSQ2IW+c73nGE17x0sthxNSOzZK25N92nuLFTZ74k+LmiONbZ/9R2riH99fFOQ5h/t8KTQZFSR2JFcf99/FbuN4qaXlcTKZLBYLWh4bxUj2MZpuGy6bUdCWW6yO2HocYivmt6oNLoj6z4QsH5frqN8jVzxUVJAorcIscePq2Pzx0ryWR/Gwbd2uDs7uMO5MWtQNGUZGQfAsxyHmHWfaKNnggn3usmQrpCwck/ltuvq4/zNEA1FBojT9rKo9FyD1C3nDx0stLY+j0eju7q7JTx7GBbKqmVPXAsgo6A5Lc2SSJM3f1I7juNpkH7W4wDBNqKggUdq3Wl/Lj/aI+2rReKml5VFuYNXyrFBKG5N9jAQfVribr73HIWZHavZ5qvowzbe0QgaKChKlpcvHLQnVMb2DVoyXpmmaVzuS1NMurUv2adEtFgxbmyOb2YlrdNnOZrOdN9/jHx8SCRk8KkiUlq7W0aB3fyh2/9luX6T546WywhgOh3ktj41dS0CebLJPMy/kggSfIFiaIxt7HGJVwQVR/5naxWaSJlRUkChnen0jZ+tknPhuYzTNT/CR29bZVjkOJ2y7tiT7GLdYLEC2lKU5spnHIVYVXCAHsdWfWYYMEhUkSpNrkGKPMZomJ/hMp9ODgwMOJwyVsZfdzGXI1mUUwE7Vka04DtF4Qd75Lmt0csQwTdioIFHO+/mtPou9A+OmtjlXR7W1ZLyflsfAjEajamdOK2dcsxtVXmBn8i40+4rXtObIbLLPbsEFP3pIgoz6PYZpgkQFiXL0zYjdTqMxxkubcHXkcMJOyY7UNCrZhwSfgMlXvOY3R1YSXKDanJI5C5BhooJEOfrq4w672A0cL81L6qHlMWBG622juiH1NVHjuDmEQW1qZ/9xG9IcWUlwgd4KSR9kkKggUc4+J9A0bbzUcjghLY/Ba2ayT/MzClAVuVmcfZ1pSHNkNrig7OKokdTBRHZ4qCBRgjzPUBWRZavJ5lwd8w4npOWxO4zlvSaM1DQ/owCVi+M4b1Nb1pE1bmrvGVwgzzYUD1cKzjYMDxUkSpM5PqOTo1KfZVyh67o60vIIxViGrH0vu8kZBXDHkvgj73WN5h+fT6ySZB/x9CxcBIMKEiXIQWwhRLpclz3P0Lg61tIBaTmckNqxg7IzpzUuQ5Lg03H24xDrao40itqyzR7R4Jl4WHSgggwPFSR2VOo8w9rHSy0tj5PJJJvTho6I47ghyT76QzckowD+bT0O0XNugHGXVTa4QOV1pMs1gT7hoYJECepE7LI3lMYAjc/x0ryWR/Gwbc2sa5dlZ05rKd0amFGAGlmOQxyPx54Tf/ZJ9tF75RnHDg8VJMq574lerotH+RhXR2/dXZaWx9FodHd3xzIPRKYldzab+e85a1RGAZqgOcch7pPsY4xjIzBUkCjqjz/4NHnogxSFB7HrSvCxtDzKTSIPzwFtUe9h2c3JKEDT2JsjvSX+ZJN9incMqytFulx//+nfrPqpoU5UkCjq42CXX37j6uihdEvTNK92JKkHG1U4c1oWCT7YamtzpIcf193usqJBT+5WqfNpEBIqSJSgXgLiYucZeh4vldsrGxPUSOqBnbHy520ZkgQfFGRpjvRwHKKxl118GVJ2zzOIHSQqSJQgQxmiQU9mNGxlXB2dFnBy2zo7J8jhhCgim+zjYejVWOwkwQd29TZHjkajHYILosEzufQQ9XsfP/0bjp4bakEFiaK+//RviIdg2CJhkN4SfKbT6cHBAYcTYk/7zJzuRn8IEnxQkKojPR+HmB2pKXKXpS4Wyfz2j88+dfHEUBcqSBT1xx88/vIX6WjR71AdJfio7Rvj/bQ8Ygf7zJzugAQf7EPeIVuOQ3TRHGn06V5eXm7dOidLPGBUkCih+InYrsdLOZwQLmRnTh31ltWVUYCQbD0O0UVzZNmzQPWLxUdmscNCBYmi/v2zT+WtZDTo2VO+XI+X5iX10PKI/flJ9iHBB1XJS/wRbpojjQ2lrSM1Uf8ZU9ihooJEaXKexvIB7sZLLYcT0vKISnhI9jEuuiT4YH9bE38qrCPLLkOqpYeqngAaggoShSTzleyD3Brr5Wi8NO9wQloeUTnjnqfybkjjiksHJKpiSfyRdWQlm9rZ4ALLXdb9IPagly7Xf/zBp5xtGBIqSBSiWqG39kRXPl5KyyM8My6QBWdOC/KWUYBu2tocWckLZhzHxZN9RidHj4eZcc5hQKggUVqUH+VT+Xip/XBCakc44i7ZxxigcZFRALg+DjEbXGD5gjJUXGINMiRUkChEX3q0xIlXOF5qaXmcTCZsW8MpR8k+xmwsAzRwyulxiEb/7mw2y9siV5eMT77/jmSfkFBBopBvV+tPvv/O/jFVjZfmtTyKh21rlm3gQTbZZ8+RGmM3nAEa+OHuOMSCwQU/6t93z//xB5/GPy50Ii5agQoSpW08kKaSBB9LyyNJPfCv2mQfEnxQF0fHIZYNLvjk++9m13/Y4YHQTFSQKCRdfrTPYu+f4GNveSSpB/4Ze9n7LEMan8sR2PDPRXNkkeACdcnQDzZDAKggUUi6sjWvZMdLS10d5WbKxtqRpB7UazQaFZ85tTB+vFlNR11kK3n2Hma35sgiwQX6wYZM0oSEChLlbIwTNxJ8ivcpktSDhis1c5qHBB80ilyMrKo50l1wARqOChKlGYFeOyf4cDghWqH4zGkefeWSBB80hNrUzv5AlmqO3BpcQAZkqKggUYjag4iPn0zSGeMFBRN8OJwQ7bLPSA0DNGgyuQ2dfdUt1RyZDS7ITfbJjxNG61BBohBVOCbzW30Xu+zVkcMJ0UZGb0bxkZpKMgoA1+I4th+HuPUHvshd1rPv/k26WhMJGQwqSGyXLtdqkkYvH43rqP3qSMsjWs3Ypyu4DLl/RgHgh/04xPF4bDQsZT89L9knGvTkGsTHT/9m1c8adaKCxHbp6uPGc7GNq6OlA5KWR7SdMXNaZBnSGKAhwQfNZ0/8sTdHGj/hecEF6erjxvejdaggUY5agyw4Xmo/nJCWR7RIHMelkn2MjALulNAWW49DzEb2iE0jNerD1C4WW9ghoYLEjraOl3I4IQJTKtln54wCoCEsxyGOx+ONr+0k+3QKFSS20+8a5SSdfYDG3vJ4d3fHYgxaqniyzw4ZBUDTWJojkyTJbmrnJftE/cfDzFiGDAYVJLYzIsSNUweMa6r9cEJqR7RdkZnT09NT/U0GaNBqpY5DzCb7GEsJG8/FRRtRQaIQ+TsfDXrR4FneAqSl5ZGkHgTDMnMqlcooANpia3Ok+rHP3mVFg2dCiE++/06wBhkQKkhsly4fE7yMq6McvrO0xZDUg/AYa4rGPVXxjAKgdSzNkeo4RGMvW101/viDT30+VTh3B1gtFov47/+j6D//B+JP/7b4s5fiT/+28fOTt0Mnk3rqfvph0tcAJpNJ3U+ni4y6UP0r5L0fPun/ClEU1f10wrSxOVJom05Plip/+Jn4j/9beREZ/dN/waUhDFSQsLH3b+XtzcnNjrqfe8ioIGtndGWoMkX/p6F2qQsVpDd57UlRFFmS2mSVWfdzx77YxUau09NTexZDdtSalkd0xMaZUxJ80DUy2Teblp+mqeUAG9U66frpwSkqSGx2cXFR8ORfhZZHdEp25pQEH3SQnNTe2BxpZ09URfNRQWKD4sf+ShxOiG4yZk71/0WCDzpFJf6UOipiNpuVXapAc/xJ3U8ATVTqV1oe9cbZAz7pxcpsNnv//n19zwUbRFE0m81ms1ndT6SjjGp+6/mTqJYM6CjykWmaJknCan1LHdzd3dX9HNA44/F447GnAABUKI7jq6urup8FdsEuNjYoePsIAMA+uNy0FxUkAACoB1vY7UUfJDZ4/vx5qVbIUq3T2J/eYyD7UGt7Kp2XJMnGRRR+KWoku+vUm/xbeGZ8/+2eP3/u8rnAIfogsUGapqWSuuI4zh6WCneGw6GqWiaTCRfIuuT9psiQPBZX6jKdTtX0TBRFi8Wi3ufTHTIYtdQChHl6DdqDXWxsIK9/xT8+SZLT01PSfNA1eUO+ZfOwgLaT4Y7D4bBkcZNLAAAgAElEQVRU+ZiNIkeLUEFisziOS61sqTMGqCPREUmS6BfL8/NzPQPS+L9AwGTtWPauKY5jrhetRgWJzeShbVvPxc6eZCXrSK6dCJ6xAHlxcTEajfTfCGIIETzZyJGtHaMosndxnJ+fE+LTdlSQyPV4xsA//RfRn/898ad/W/zZS/HDz9QHpGm68SSrNE1PT0/H4zExDQjVdDrVf7zltTB7WDZLLAiVbHnUe7IVecLtk/f/8DPxZy/lRST++/+IM8zCQAWJLaIo+tGf/7307/xD8V/9c/Hyn0R/8Zfqf8kVR1llZuvI6XRKcyRCpa8v6kdgj0YjfellNptxH4XwyG3r7MET6oTbi4sL/Sc/+ou/jP7iL+VF5Owf/nf0PoaBChLbxT8+lH+IBj39Yikemr3UamXepjZ1JEJibE8bt0/GYdmM1CAk0+n04OBg47b11dXV1dWVPNJQ/4A4js/+y/8sXa79PlM4RwWJEuRLQN4FUr6CZGfraI5ESJIk0ZdejEVHIUQURfoUGiM1CINqTzLeL5s3FouF+kXI3mK9n6/i48eVCPdPFj5QQWI7/d4xXX40mr30C6RcjKQ5EgEzVl82TpsZ3ZAsQ6LVLEk9snbUd5mMWyZ1i5XMb4UQ0aDHYmQwqCCxXXzcV39OV2shhH3m9HEEJ5MHRHMkWm06nRoJPhs7uoxEVWPZEmiRvKQe1fJovN/4SPmLIC8cQoh0uWYNMhhUkNguXX1Uv/NRvyc2zZxmL5DyIpo9q4bmSLSXfnWUd0p5H2l0DLMMidZJkiQvqUe1PBr/y7jFUvdR8sKBwFBBopDsvkPBC+RoNMrb1JZ1JJvaaAtjvNR+bhPJPmgv2XR0enpqvD5nWx4NRkZBdhsqGvSi/rNqny3qQgWJ7aL+M7UGqTYjshfIvPxktamd1xxpXJiBBsqOl2499tr4GJJ90HylWh4N9owCicXIkFBBohC5Bmk0QRu3mPaZU1VHGtddeWGmORINV+TqmEWyD1okr+VRblvbX6KNXqZsRsH9h60YowkHFSS2kwuQn3z/nSwf9SKy7MypfCWyNEcycIAGyhsv3cpI9jG6xICGsLQ8TiYTy7a1YrnFSpdrWTjKiwiTNMGggkQh0aD3xx98Kv+crj4+vj8/2cfC0hw5Ho9J/EHTbBwvLcj4OeewbDRKXsujeNi2zvYyZhmv/BtSgZdrIYS6iCAMVJDYlz3ZJ4+lOZLEHzRK3nhpQUayz8bgAsA/S8vjaDS6u7sr/iKsv+xnMwqeLDqwABkQKkgUorc/G5N0+8yc2psjSfxBExgJPkWWZAwk+6Bp7C2PpW6TptOpPaNANT598v13uzxXNBUVJErTbygloy2s7Mzp1uZIWsdQl1IJPnmKBxcArslt6421oz2pJ4+R4GP59D/+4FP9fAq0HRUkSpAbEBvPpNp/5tTSHMlxiKjFDgk+eYzP5bBs+CdvXXZL6slTKqPgk++/e/5wOjYCQAWJQqLBs42z2I8f8HR3b7cLJMcholGMq+NuC5AbP51kH3gmt62zPbh5hxMWYRzXmZdR8H5+K//AJE1gqCBRyNnJZ/KXPxr03s9XGz+mbLJPHpUfwXGIqFE2wWfjEdjF7RZcAOwpSZKDg4NShxMWZHzNvAXIH2lt9BsXINBSVJAoRP3aW37/jZlT4/a0LPnqZjkOkasvnNonwSfPbsEFwG5UUo/x/p1bHnVGRkE2wUfRFx2YxQ4JFSQK0X/tLYcKVDtzynGIqMueCT55siM1JPvAhX0OJyzIyCiwfEF1yWAWOzBUkCjNMkznYuY0L/FHCMFxiHDEGC/dIcEnD8k+cC0vqWeflsfsQxTPKFCXDGaxA0MFiUKi/jN1+5guzTQfXXbmtJJlQo5DhDe7HYFdEMk+cMdyOOGeLY+6shkF6pLBGmRgqCBRSDTo/cnH+1/+ZH5r74Z2N3NqPw5xOByyqY09GTvLxY/ALs5Y1GSkBvvLO5ywkpZHQ6lbLHmxUH1Q9EGGhAoSRf37Z/dBDNGglw0V1xnJPkZL2Z6KNEdW9VjoIKcLkBu/LMk+2IeHlkddNqNgywLk6qNadFDLEAgDFSSKUr/86XK9NZHBuO5Wvk/HcYhwwbg6WsZL90SyDyphP5zQxctg2YwC4nsCRgWJomQLS8E9CCPZx9HMKccholr6rY59vHR/JPtgH5aWx8q3rZUdMgr0CpI+yMBQQaKoTz5+Jx5eDorcVnqbOeU4RFSikiOwi8uO1LBwjiLyWh6Fm21rnZHgUySj4Fst/e0TdrHDQgWJoj75fikXIC3H0uh8zpxamiM5DhEFVXUEdnFGD9lsNuNuBxaWlscKk3ry7HaLpQaxo0Hvk++XLp4Y6kIFiaKe9EHmh4rrssk+TreVaY7EzvwM0GRxWDYKsrc8VpXUk6dsgk9W1GcKOzRUkCjqk4/fFTnb0OD/AilbMLMzEDRHIo9xAqeLBJ88ToMLEAa5be255dFg3GIV7/FQyw3J/PaH//ZfVfy0UCsqSJSgj9EkBTayRU0zp3IxkuZIFGRcm70tQG58OJYhoXhO6smzc0ZBkeAOtBcVJIraeYyurplTtamdbfemORKKseznLsEnjxFcYCyIorM8HE5YkPEcij90Ml+RJR4wKkiUoDeyJL+/LfpZmZEanxdIeXnONgnRHAnJGC+t5eeBw7Kh83M4YUE7JPgYZO3IidjhoYJECc+P+2oc+9tiwzRS7RfIOI7zNrVpjuwyzwk+eTgsG5LPwwkL0n8UjQM5t5K72OlyPTo5qv6ZoW5UkChBbUOky/WPygzWNeECaT8OcTweG8UEgrf/eGmFssEF/DR2SkNaHg1VZRQk89Xz48MqnhEahAoSJcTHfdkWHQ16s69uyn3u05vXuo5xsyf+0BzZKXUl+OQh2aezLEk9ddWOooqMgrKXCbQLFSR2sdt4nbEMWeMFcutxiIwyBM+4h/GZ4JOHZJ8OsrQ8TiaTxWLhea5Lt39GgX6loA8yPFSQKEE1QQoh0uW6YKDP46dnZk7rvUBajkMcj8cbDw1DMIyrY10dkAbjp5FuyIBtPZywVMdh5XZO8Hn8CtoFIl2umcUODxUkyomPD9VtZfFx7MdPj+Nakn3yWJojkyRhUztU+4+XOmLcZXkOLoAf9pbHu7u7Jrzs6C/Ou2UU6AuQTNIEiQoS5USDZ9qfS99TZkdqmvBayXGIXWMM0NS72GOoPbgATtkPJ2zIS00lGQV6BVlq8hJtQQWJcvR5utn1Ll3SRsPZbDZryGbx1uZImtLCYFwdax+gMTQhuAAupGmaVzvWldSTp5KMApn4Fg16o5MjtrCDRAWJcirphm7yzKmlOZLjEAPQqASfPNlkH+5eWk3eBgyHw7yWx4YsPUoVJviIh455KsggUUGiNDVPk8xvdxvKbvjMqaU5kuMQ2864OjanA9LQ5LsslCK3rbP9rP4PJyxi/wQfRU3PpMt11H+29ePROlSQKEcPFY8GvXT1cbevYxRnDbxA0hwZnv3HS70x9rJZhmyj6XR6cHDQkMMJC9o/wUeaXt/oY5esQQaJChKlqdOx0+V6h3Hs+y+SSfZp5sypfJ7ZUoPmyDYyro4NvwcYjUaNCi5AcarpxXh/A1sedcZ20D63WOlynczvrw7nL4Z7PzU0ERUkSnv+0Aq5521lW2ZO5WIkzZFt19gEnzzZkZpm3mVB18zDCQvSX4R3S/DJio8PWYAMFRUkSlPJXulyvc+hVe2aOVWb2tnkF5ojW0H/6Wpagk8eowutsXdZkPKSeprZ8mioJMFHkZeGaNBLV2tOowkVFSR2oXdD7jZMI2VnThu+mCc3tbMNTDRHNlzTjsAurkV3WV1mOZywsS2PusozCuR1YZ+rA5qPChKlRYNefNx/LCJ3HaaR2jhzGsdx3qY2zZENVOF4qX/GcikjNU2Tdzhhw1seDdXeYk21qGDOMwwYFSR2kS4/7nO2oa7hyT55LIk/cqHI2BJCjaoaL62LsQzZirusLmh1y6POuC3Z/xbr/fzxosB5hgGjgsQunmt9LfLggX0YV/QW7dPZE39ojmyCFiX45MkGF7TiLitslsMJW1Q7SsbfYv8hs3T5Ua076seYITBUkNhF/OPHFwV58MA+jAtk62ZOtx6H2K6/TmD0G5Kqxkv9i+OYZJ+GsLQ8TiaTxWLRrlsUFxkF6rCJaNBjCztgVJDYhZytU+cN7F9EtiXZx8JyHOJ4PM62ScGDasdLa5QNLmhpKdxqeS2P4mHbuhUD/gZjgGb/v4JqfJQd8wxiB4wKEjtS5w1Eg96erZCibck+eSzNkUmSsKntX/OPwC7O6E6bzWbck3hjaXkcjUZ3d3ct/dU2smwraRFWCwoMYgePChI7OtNSId/vvQYpNiX7tLTZi+MQG6K9CT552hhcEABLy6NsX6nlWe3P6Beq6hZrz4g3tAgVJHbkosElpAvk1ubIltbHbdHqBJ88LQ0uaK80TfNqxxYl9eQxbrGqKoX1YyYYowkbFSR2FPWfPQb6zG/3b4UUmb3s9i5DKpbmSI5DdKrtCT552htc0C6ykWY4HOa1PLZ9J8FdRoG6LkSDHlE+YaOCxI6iQS/W7i/3b4WURqNRYDOnluZIjkN0xFica2OCT562Bxe0gty2zn5jW3E4YUHGLVZVfykjS7ySr4nGooLE7s5OjtRG9v6pkFJ2pCaMC6SqIzkO0QP96tjeBJ88AQQXNNZ0Oj04OGjv4YQFuUjwkVSWeDToTV59XtWXRTNRQWJ30aCnbWRXsIstGS1rl5eXwWz1yutQdkmM5sgKBZPgkyeM4IKmUY0lxvvDaHk06H/NShJ8FH0QmyTI4FFBYndR/5map6kkFVIJ+Bg3uSRGc6Qjxk9L2xN88mSDC/iZ2VkwhxMW5CGj4D4Psv+s8q+MRqGCxO6iQS/q99S9ZlWtkCJzWxzASI0hL/FH0By5n/ASfPKEFFxQo7yknpBaHnVOMwqm1zd67yNrkMGjgsRenh/35V52NOhV1QopBbwMqWxN/AnvAuaUcacRRoJPHpJ99mQ5nDCklkeD64wCtSXFFHYXUEFiL6OTI3nTWe0utsjMnIa3DKlYEn9kHckGZUHG1TG8DkiD0VBLN2RBeYcTBtnyqHOdUTB+80EdVEYSZBdQQaICLlohhRBxHHfkAmlJ/JFXOxYjt3I3XtpYoQYXuNO1lkeD04yCZL4aaQeVsQbZBVSQ2IueGVvJAdlPvnjmAhn26zvHIe7D3Xhpk5HsU5z9cMLgf7lcZxSoFQRyfLqDChL7en58qDay9fOsKmG0ss1ms+C3dDkOcQfdGaAxkOxThKXlcTKZBLxtrXOdUXD5bkGEeNdQQWJf+sBdulxX/iLSzZlT+3GIwZfRpRi7t2EP0GRlk324x9Dl/crIbeuOrFV7uMVSr/zpch0f9yv/+mggKkjsKz7uPykiVx+r/fqdnTm1NEdC19kFSKWbd1k7i+P47u4u+G1rxWmCj6QfZijI8ekMKkhUIOrfv15Eg97l20XlX9+oCTq1T2dJjpTev3/v9xk1i7HkFtIR2MUZe9ksQ+b9UqikHs/Pp16uE3yEdpihEIIZmu6ggkQFJq9+Kv/gqA/GSPbp4Mxp3nGIQojpdNrl5kjj6tidhSXDaDTqSHCBndyzzr4+BJ/UkyebUeDiFitdflTrjmcnn1X+9dFMVJCogLFnUW2mj8TMqRCC4xANHUzwydO14IIsOUXU2aSePEaCj4u+T7mFLc+ViAY9miC7gwoS1VA7F8n8dnb9h8q/PjOnktzU3riK0MHjELuZ4JOng8EFikzq2bg1UXnwYYu4TvCR3s9vk4ddbMrHTqGCRDXUzkU06LlYgxSbZk67c4EsqFPJkQzQZHVwpCZJkoODgy78TcsyfgBcJPhI+gs+R9F0ChUkqqFuPWWgj6Mi0rhAdnMZ0pC9KnQhOdLDeGkbGduUYY/UqMMJjfdHUcQPg/B1izW9viHHp7OoIFGZWLv7rPZwGoWZ06yzszP7cYhBrtR6GC9tKaPZI8jFua2HE56dndXxvBrEeG10d4ulT0+OTo7I8ekUKkhU5vlxXzxM1VR+OI3CzGmWJfHn8vIyvOZIY4Cmmwk+eYzggvDusvIOJ4zjuLPjMlnG98fdkNn7+UpVjWxhdw0VJCozOjmS8zTyBcXRRnZ2pKZryT55th6HGMw3yhgvpWgwxHEc5F2W5XBCmfLIjYTkLaMgXa7T1eMaJFvYXUMFicpEg166/Cj7IKN+z9FGtiDZx8pyHKLMOmn7praf8dJWCy/ZR7U8Gj+9nU15tPOWUSDPwpYb2fHxIVvYXUMFiSo9fzjhMF2t37tZgxQk+2xjOQ5RNUfW8byq4We8tO2CSfbZ2vLY6h9mF3xmFOgbTWccRdM9VJCo0ujkSN6Ppst1Mr91tJEtNiX7BNbstb+85shWJ/4Yg7cM0FgEkOyT1/Iot63b+APsmtHV4zSjQJ/CJki8m6ggUaVo0IuPD9VQtruNbBHEBdKDrc2RLaq8vY2XhsFI9jF64xrO0vLItrWFzwXI9/NbtW0d9XtsYXcQFSQqdnZypHqr3W1kC5J9yrA0R7boOERv46XBMP7FW9HsIZtSsi2Pgm3rbYzXQA8ZBfIkQ8EWdldRQaJi+l6G041sQbJPGZbmyFYch8gR2Dswkn2aH1yQdzghST1FGLdYTr9d0+sb+doui0i2sLuJChIViwa9qN97PCbb5UZ2eDOnrrW3OdJI8On4EdjFtSW44OLiYuPhhCT1FGTcYl1dXTl9uPfzW9UEGT8MUKJrqCBRvbOTo+n1faK4u2hxKZiZU5/k0lR2k6uxzZEk+Oys+cEFspWClsc9GQk+rr9p6hVeECTeYVSQqF6sHU6TLtf6a40LjNTsQC5GtqI50vg3JcGnrMYGF5DUUxWfAzTiafkohBjRBNlVVJConpzIVnsc7+cON7JFZk+zORfI5lOb2tlN4eY0R3q+OgapgXdZHE5YlSRJvCX4SLPrG7Vtff5i6PSx0GRUkHDi/OXjy4rquXb4cE/36ZpwgWwRuamdbTVrQnMkCT6VaFRwAYcTVsv4Trq+xZJZv3KAJhr04h+zhd1dVJBwIj7uq1TIaODwhMP7h3g6c2rclKOIOI7zNrVrbI4kwacqTQgu4HDCyhkDNB4SfNQWtjzPkCnsLqOChCsqISxdrl3P0wgh4jjWXzpZhtyB/TjE8XhsTLS4RoJPhbIjNT7vsmh5dMTIKPDwbdRTftnC7jgqSLhizNO43sjORt9xTdqNPfHHZ3OkMV5Kgs+e6kr2sRxOSO24D/8ZBdPrm0Tra2eGpuOoIOFKNOipY7KFEJdvF64f0bhAkuyzj63HIbpewWKApnL+k30sLY+TyWSxWNDyuLNaMgpm1zfiYV1gdHJEDGTHUUHCobOTz9SfXZ9PIzVw5rTVLMch5h09Vwljj5UBmqp4S/bJa3kUD9vWrCjvqZZbLHlirRyjIQYSVJBwKOo/029SZ9d/cP6IT5N9jEY67MDSHJkkiaNNbRYg3XF9l2VpeRyNRnd3d2xb76+WjIILbR8pXa7ZwgYVJByKBr3Jq89VEZkuP3p4UKPaaNoJHC3l8zhE4+roYby0U5wm+1haHmVTRFUP1HG1ZBToA5GUjxBUkHAt6j9TrZDJ/Nb1+TRi00gNyT5V2docWUktohf9fsZLu8ZFsk+apnm1I0k91aolo2B6fSPje4QQ0aDHFDYEFSRck+fTqDdn7itIUd/MaUdYmiP3Pw5xOp1yBLZr2ZGafcp02RQ7HA7zWh65B6iWkeDjp6NUf+mOj/vM0EBQQcID/XwaP/M0/mdOu8bSHLnncYhGgg8LV44YnXM7BxfIbevsMj+HEzriP8FHCJHMV3KGRggRDXr6iCS6jAoSzunn0wgvsT7C48xpl1XeHMkAjU97jtRMp9ODgwMOJ/SplgQfIcTs+g9q/1o8ZP0CVJDw4UxLDktXa9UZ6RTJPn7IxtPsvEvZ5kjjLEoSfFwzNkCL32WpdoXsF6Tl0Snje+6tx2P6EAOZLtd0QEKhgoQP8XFfVY3pcn35zscypNOZU+jkYuSezZFGic8CpAdGs8fWuywOJ6xRNsHHzyqvHuIjz4nw8KBoBSpI+KDP7kWDnodWSMnFzCnyqE3tbGv/1uZIY7yUBB8/jOACYxnYkJfUQ8ujH7Uk+Agh3s9X6nDasy8oH/GIChKejE6OZDekjITwEOsjNo3UkOzjmixKsm1w9uZIY7yUcsSbIsEFlsMJaXn0o5YEH/FwEHbU7wkWIJFBBQlPokEvGjxTb/qJ9REk+9QkjuO8TW1ZR+qb2rWMl0KyJ/vkHU5Iy6NnRkaBtzMhZcdRMr+NBj1CfGCggoQ/egu2n1gfQbJPfSyJP7IukYVjXeOlUIzvuUz2oeWxOerKKJAp4vLP6XJNiA8MVJDwx0gXH7/54OdxjVt2Rmp8sif+yPUt/f0M0NTCCC6QCeEbt62pHT0zem98ZhTMrm/UouPo5IgQHxioIOGVni4uhPAT6yPKz5yiWpbjEPXtURJ86pJN9sl+wGQyWSwWtDx6VucCpJa8RogPsqgg4ZWeLp4u1+M33/h5XJJ9miDvOESFBcganZ2d5f0vuW3trfcOivFK5TOj4Okxhod0QCKLChK+TV79VG1np6s1yT6dYmmOFELscxwidiZbHo12Amk0Gt3d3fGPUhf9ZcpnRkG6XKsRbJHZOwIkKkj4Jmf65Cmr6XLt55BDsW3mFD7Ja2F2NWXn4xCxs7yUR5FJi4RnNWYUjN98Ew16yfxW0AGJfFSQqMHz40PVXuNtKFtk2uzkzKmfh4bBuDrqyh6HiN2kaZpXO6oPYKm+RnVlFCTzld4B+VwbfwR0VJCogd4NKYTwtgwpOCy7GbIJPvsch4iy1LR19nt7fn6uVyp0DNelrgEaIcTs+g/qz/HxISniyEMFiRpEg96Z9qrkcxkyO3PKBdI/4+o4mUzymiO3HoeIsuS2dfZwJnU4IXdZtTOOl/SZUZAu1+nyY7pcR4Oe8UINGKggUY/4uK/f2up3va6R7FMvo2pXE05qyKbUcYgobjqdHhwcbD2ckOCC2hn/Rj4XIC/fLWSTuhAi6nOMIWyoIFGPaNB7riVE6IcfOH/op/MBxu0+XDOujsZ8gKxmLMchUs3sQLUEGO/PO5yQ4IIaGUdg+0zwSear6fVN1O9Fg166XDOCDTsqSNQmPu7Llyr55ulvvvb30ByWXRPj6rhxvHTrcYg0Rxa32+GE2eAC7rK80V+OfCb4CCEu3y7i48Nkfit3sRnBhh0VJGojm2z0c1d9dkNyWHYt9O+zcdqkIe84REFzZGF5ST2q5dHyudxl1aLGBJ/p9U0yv5UJPkKIyavPvT00WooKEnUanRzVclK2yFwgkyRhWcu1HcZLLcch0hxpkSRJ3sHWesujBXdZ/mUzCnwe8mkcQsMCJLaigkTNjFabqfYq5hozpz7tM16adxyiqiOp/hW50X96emp8T/JaHi2MRWJGalyrMcFHHkLz+NB0QKIAKkjUzDgp+732KuaakexjtOihWnuOl25tjmQxcreWRzuCC7zJZhT4XIBUbejyyFkWIFEEFSTqp9/vTq9vLjwGjBvlCPt0jhhXx53HS/OaI9nUzmt5lNvWO39bssEF3GU5Ys8ocMrY+WEBEgVRQaJ+8XH//MXja9bsq9qSfZg5dUQvzfcfL93aHNmpKsfS8jiZTEptW28UxzHJPq4VyShwRzWgy/lrFiBREBUkGkHPrU2X68t3/pYhmTl1zdF4qaU5siOJP3ktj+Jh29oy6l5cdqSmswu97hgJPpX8wxUk93zkTXu6XJ+dfObtodF2VJBohGjQe1pEfiTZJxjuxkstzZFhJ/5YWh7jOL67u6v2L2705M1ms+Crc59qTPAxbtdHJ0csQKI4Kkg0xfmL4eNIzWrtbSNbbEr26dQ2qFMexku71hxpb3m8urpy8aAEFzhSb4LP+M03+pt6NxGwFRUkmkIGjMs/p8v1zOM5h4ILpBv7JPiUpY5DDLg5Um5bb6wdyyb1lEVwgSPGLZbPBchkvlJHYAshJq8+VyeEAUVQQaJB9GSfZH7r85xDYy+bZchK7Jngs4OLi4sgmyNdJPWUZXxXucvaX1UZBbu5fLsQD/E9Rh8RUAQVJBokGvT0IIl0ufYZMD4ajZg5rZCxTOXt6qg2tbPjCC1tjtzncMIKZZN9CC7Yk/Fv6vMn8+LtQp5/LbPEOcMQO6CCRLPEx339Vvjy3cJnso8xUsMFch/GeKnnuk1l2bT6OMT9DyesFsEFFao3wUcfoCFCHLuhgkTj6N3c6XLtbShbZBr1uEDurMbxUp1qjjTe3/zmyAoPJ6wQwQUV0r91xgGSrp2+ftIgRIQ4dkMFicaJBj29iPS5DCkyx7hxgdxBveOlBvtxiOPx2Ch2a9eElkeLbHBBo757bVHjEdjJfKUfgU2CD3ZGBYkmung5jAY9ORiYLtdG5IRTxmIAIzU7qPHqmMee+NOc5siGtDzaEVywJ58ZBVmXbxdqYDEa9OiAxM6oINFQ5y+Gaukxmd/WdVg2F8iyjJrb89XRbutxiDV2vtoPJ/Tf8mhBss+e/GcUKPKFVK5BUj5iT1SQaKjRyZE+UjP76sbnKTXGzCkXyOKMq2NdHZAWluMQx+PxxkMCnfJzOGG1jO8ezR7F1Zzg824hMyA5Ahv7o4JEcxkHJFx6XIaM45hknx3UO15anKU5MkkSb5va9pbHyg8nrJBxl0VwQXH6i4nnjAI5QCP3dqJ+jyOwsScqSDSXGqmJBr10uU5X/uIhszOnjb2WN4oxQNPAxTNdvcch2g8nbP7PG8k+O6gxo2B6faNOoIkGvecsQGJvVJBotNHJkWr6Fn7nso0GvtlsxsypnXF1bMIATRFbmyMr72GwtDzWmNRTFsk+O6j1COwP96uPg54Q4oIEH+yNChKNJk+pkS988vgEPa2svlMAAB6WSURBVAjXNWZOi2tUgs8OLM2RFR6HaGm1bEJST1nZZB86hi1qzCg4ff21vBWX+zkM0KASVJBoOuOUmun1jc+9bGZOCzKujo3tgLSwNEdWchyi3LbO9gs2KqmnLO6yCqoxwSeZr9LVWmVAnr8Ysn+NSlBBogXOXwzlzovkcy+bmdMi6h0vrZaL5siLi4uDg4PmHE5YIWMvm2XIPDUm+Fy+fXzBjPo99q9RFSpItICRW5YuvY7UMHO6lXF1bOlymk7+u2dL4bLNkXITvO0tj3aj0YjgAjtj+8LnLdbp66/1ARoOMESFqCDRDvFx//zFUE3VvJ+vvBWRzJzatSXBpyy5GLlzc2TDDyesUHakhrssg/6i4TPBRx5gqBYgCYBEtagg0Rp6N6QQYnZ942cvm5lTO/270fwEn7LUpnb272VpjmzF4YQVMrr6Li8vCS5QakzwOX39O/VnTqBB5agg0Rr6Fkwyv03mt97Oy87OnHKBlBp4BLYLeUcLZpsjLUk9bW95tOMs0I1qzCg4ff21ah8/fzGkfETlqCDRJnIuW70sJvNbb3vZzJxm1TheWos4jvM2tWUdufFwwpBaHi2M5WdGaqS6brFkfvjjAM2gx/41KkcFiZZRp9QIIeLjQ29z2ST7ZNU4XloXS+JPmqbBtzzasQxpMMpob7dY6XI9fvNBvRkNekYLEFAJKki0jN7NI5vET3/ztZ+HJtlHV+N4ae3yEn+Mj+lO7SgZwQUsQxo1tLcOSNneo26t2b+GI1SQaJ/4uH/2xeMtdbpcX7z1cVANyT66usZLmyNNU3s7bAfrpziOSfaR6soouHi7UOHhgvxwuEQFiVYyzst+P18l85WHxyXZR6pxvLQJZJrPxsMJ9Y/JO8AwYNnggg7eWkjGAI2fjIJkvtLPfY2PD8kPhztUkGilaNCbvPqpejOZ347ffPDQEEmyj9TqI7D3YUl5HI1G2ebIJEn2Pw6xXYxuv9ls1qkaWjKyQr21CF9quzHkh8M1Kki0VTToXX35M/20Qz/hPtlkn65tVnYkwScrL+VRJvVMJpPKj0NsqY4HFxj9Ld4GaMZvPujHz0xefc7+NZyigkSLyYZIuZ2dLtfewn26fIHsWoKPlKZpXu1oJPWoanLP4xBbrePBBbXcYl28XUy1QxY4fgYeUEGi3UYnR+q2Wwhx+W7hoSHS2Mvu1DJk1xJ8ZKPCcDjMbsVaknpGo9HOxyGGobPBBcargZ+MAtX+KPdkJq8+Z/4aHlBBot2iQe/qlz9Xe9kyCM1DQ+RoNOrgzGl2vDTsBB+5bZ2duC9yOKElOdJyHGIwOhtcYNxi+flXHr/5oE8W6r09gDtUkGi9aNCTMeNSulx7aIjs5sypkeAT2BHYuul0enBwsP/hhKqO3HocYng6GFxQS4LP6euvhRAqwYf4HnhDBYkQjE6OnhSRKx8JkV2bOe1Igo/aaDbev8/hhLLuzG5oht0c2cHgAv0v6CfBR6Y/Pp5e2O8R3wNvqCARCD0hMl2uZ1/deGiI7M5IjfG3CzLBx5LUs//hhHIxsmvNkdnggvD+jor/AZpkvpp9dSO0U16vvvy56wcFFCpIBEImROpFpIeGSGMnN+CRmuATfPKSeoq0PBanNrWzq1OhNkd25C7Lf0ZBulyfvv6d3LCWL3SkP8IzKkiEIxr0zk6enHbooSHS2KcL8gJpVMaBJfgkSWJJeSze8licnDKxJP6EVEd2JNnHf0bB+M030aA3vb6Rt81XX/6M9kd4RgWJoBgNkfKsGqePaMycBrkMaVwdg+mAzDuccJ+Wx+IsiT+yjgxmw9doAA2vG9Ioiz0k+IzffFDtj8n8Nj4+pHyEf1SQCM3o5GikrUQm85XrqZo4jgO+QNYyXuqa05bH4iyJP7K6NaaXWio7UhNYso+RUeD6h+fi7ZPUW9ofURcqSIRGhvvoCZGX7xZOz6oJO9nH/3ipa5bDCb3VjsbjWo5DDKM5MuBkH88ZBTI8/HH4etCjfERdqCARIBkzrr/p+qyaUJN9AhugsbQ8TiaTbGqjT1uPQ2z1ul3AyT4+MwqS+Wp2/Qc9MJyzZ1AjKkiEKRr05GtrNOily7WH0ezwZk6N3cZWD9DktTyKh23rhqytWpojx+NxqxN/ssk+AXQMn56e6m86vcWSL2Lq8Oto0GN6BvWigkSw1FSNvGVPl+vT33zt7uHCmzkNYwHS0vI4Go3u7u6atkcc8HGIgd1lec4oMJIlOHsGtaOCRMhGJ0fxcV8tPcqbeHcPZ1zyW71PZ1wdPYyXumBpeZRbxrU8qyLszZEtTfwx9rLbvgzpM6Pg9PXX+tkz8fGhPi8I1IIKEiGTUzXypVauRE6vb9xN1RjJPq2eOTWujq2rV+S29cba0UNST1W2Nke2rgIbjUZhBBf4zCgw7nuZnkFDUEEicMZothBi/OaDu3yfMGZOW53gI1sGa0/qqZClObJ1xyEGE1xgJPi466OVN73J/Fa+GR8f6mOCQI2oIBE+NZqt6sj385WjlcgwZk7bm+Ajt62zS7/VHk7oX0jNkQEEF3hL8EnmK30BMhr0zl8+uR8GakQFiU6QK5HqzXS1dpfvk505bdcFsqUDNNPp9ODgwOfhhP6pOrLtxyG2eqTGeMLuEnyS+er09e+M7B6mZ9AcVJDoitHJ0dkXR/HxoYd8H+MC2aJlyCRJWpfgozZzjfe3q+WxOFkTW45DbH5zpLHt266RGj+3WOlyffr6d/IP8j1k96BpqCDRIRcvh2cnR/po9ulvvnZRRLZ35tRYDWr4AmRDDif0L4DjEI1mj7YsQ3pL8Bn++rf6m2T3oIGoINEtKiRSSpfr8ZtvXBSRbZw5NQZoGp7gk5fU0/aWx+LyEn+EEM0/DtEILmjLXZaHBJ90uT59/SS5dnRydPFymPfxQF2oINE5o5Oj+PhQ/jka9NKVk6Tx7EhN85N9jPHSxtYflsMJg2l5LK69xyHGcdyuuyw/GQWX7xZq8loIER8fcnQhmokKEp0TDXqTVz8dnRyphkiR2TOqRLuSfbyNl+4j73DCUFsei7MfhzgcDhu4qZ3NT23sTYvkIaPg9PXX0+sbOT0TDXrx8SHRj2gsKkh00X1IZP9+yFEWkZUfV9OiZB9v46U762zLY3FFmiPreF42xk9ak5N9PAzQjN98kKuP2vQM5SOaiwoSHaVWItV7jOi1SmSTfZrZ7NXwBB/74YQNLIxq1LrjEFuR7GN0obgYoJGrj+rNaNBb/OoX1T4EUC0qSHSXXImUPZFyO9vFmYfNv0B6Gy/dgaXlcTKZdHnb2q5FxyEayT5Gr2FDuL7FksdeqzdHJ0f0PqL5qCDRaXIlUs/svXy3qHYlsvnJPh7GS3eQ1/IoHratW3RSTl3achyi8Qyb1uxh/M5WnlFglI/RoHd28hnZPWg+Kkh0nTrzUHKxEtnkZJ8GHoFtaXnsTlJPVVpxHGJ2pKZR8+PGL2y13zHV+6gCIjh4Bm1BBQnctxyplcho0Bu/+XDxdlHZ18+M1DThsi0ZCT61L+zZWx67ltRTleY3RzY2uGA6neortVdXVxV+8fGbD2ryOpnfxseHHDyDFqGCBIR4uhKZLtfRoHf5blHhSqTRXNiQmdNGJfjIrdWNtWPHk3qqIpf6spuwTWiObGxwgZHgU+EP4fjNh2S+Eg+T19Ggd/6Sg2fQJlSQwD19JVIWkeM3HyrsiWzaSE1zEnxI6vFGLkY2szmygcEF7gZo5Oqj/LPcv2bzGq1DBQk8MlYiRaURP8Yece0XSOPqWNcCJIcT+qc2tbNNC/U2RzbqLitJEkcJPiq45+FF5pbNa7QRFSTwhNETKQdrqioijX26Gi+Q2QQf//2FHE5YL5WIlLep7b+ObFRwgfGTWdUCZHbymvIRLUUFCZjkSqQ6WEwIkcxXp68rODvbmDk1Fjl8qjfBh8MJm0PW6xs3tWtpjmxIcIGRUVBVgo9RPgo2r9FmVJDABmo7W24zpct1ulpXshLZhJnTGhN8aHlsIPtxiOPx2Ji4cv1kjKX6Wu6yjIyCSn4sL94uVPkYDXqsPqLtqCCBzdR2tpqtSear4a9/u++XbUCyjzFe6i3Bh5bHJrMn/vhsjqz9LqvyjIJ0uT59/fXluycBYaw+ou2oIIFc99vZ/Z7+zuGvfysXJndmXCA9J/vUcgS2/XBCWh6bY+txiB5WBOtN9qk8oyBdri/fmauPlI8IABUkYKMfe6h2tE9/s29PZF0zp8aeoIcjsDmcsI0sxyGOx+P/v737aXHsSu84/nSwQeWBiSQTxoKEvkLONG0vEpuqjTelzkAV5AWECllIgsDgXmaRjSFSBXqTwCxtGAJSLTIpyCuo3pQKQg+hGmeVaZy00J2VOouWCkNcCgl0Fk/V6dvnSrfOka7+XX0/C7tKrj/Xbl2f3z3nOc+Z+KeZLmtqfJlbatJ9xAqH4/KTZ1ZnWeIjsoEECdwhurHGzD6afhwz/sx3O/tYhYmLs8wJyOSSxzdv3rBsvc4SiiO73e4SFrVX0rgg3qNgnkcsjY/m02olr7UxxEdkAwkSuJuGSHNwrW6sOZnv+GxrYF7COp01Oqa1vXSi5MMJyY6bYoXHIa6ks0+KPQq6vVF8saL/1Rcz/0Bg3ZAgASe6nN0+emgmI8PR+Phpf+bjs63OPkvYcxoNqWltL40Lw3BadqRTz4a6szhyQdluyZ19UuxR0DrrN05fRAumq5X8+ePP57k8YN2QIAFXQTFX3yvVdktaCx8Ox1ojP3OIXOae006ns+gjsLVIrlwuTyt5ZOpxoyUURy7oOMQlNy6wOvjMXKHbOH1x8nxg4qP+f4P4iOwhQQJ+Wofl2m4p+srx0/5sXX6WuefU6uCT+kSgLlvHp1Hp1JMlCcWRCzoO0apEXFzjglQ6+OgRVp3LQXT2sXlQbh89nP8KgXVDggS8xUOkzNrlxwpzCyr2WugGmlarde/ePQ4n3B5LLo5cQuOCVDr4hMNx4/Q3jdMX5kxUETl//Fl9z/5/BZANJEhgFq3DshbF6/YaXdF+9M0sG7QXPUBaZyem2MFHly8pedxOWsgb34+VenGktaC8iKcs6xFrhglIPW4gHN00/BIOvMYWIEECM9LGHOFobKYcZiuLXPSeUyvhpTIByeGEkNvJyCUURy60s0+8g4/vrHnncnB81pdIty96hmMbkCCB2d2cfBg5tCYcji96I98Qubg9p9b20lQ6+HA4IaLMonZ860laxZFW4wJrWn1Oc3bwaZ31o0fOiEjzoEzTR2wDEiQwr/bRJ82Dsvm027vSEOleFhnfUpPWAGltL51zLE84nJCSxy037YDKtIojF9S4YJ4OPua0a6trT+uwnPBdQGaQIIF5BcVc67DcPCib5exu7+rk+eDRN9+6h8hFDJCpbC9V0w4npOQRUdVqddqi9pzFkQtqXGD1KHDv4KPnzejUo7nxmwdluvZge5AggXS0Dm96drxtOT4cP/rmW8cV7dQHyFS2lwolj/CU0PFH39XWg427eOOCOYssZ+5RoPtmzKfhcFyt5M8ff8bsI7YKCRJITbVSsE4tC4fjk+cDxxBpTYHMuaUmlQ4+CYcTkh2RILnjz8zFkSk2LrBqRdx7FDROXzz6+t+ir1Qr+eZhmcJHbBsSJJAmPUE72kBYN2g/+tppRTutPafx7aW+E5AJJY/tdrvf71PyiDvdeRyib72v1dnHqmL0MsMjVjgcN05fdHsjXWfQv+pxhcRHbCESJJAyPcQsurdGRLq9K5cV7bQ6+8yzvXRayaPcLlvPfNobtlPCcYiNRmPiOy2B9XNmK/aw7iyXHgW6cq3nzejTYDgct48eUviIrUWCBBaidVg+f/xZ9HQKx26R83f2mXl7aULJY71ef/PmDcvWmE1CcWS32/Va1LY6+8zWuCB6W7n0KGid9aMr10Exp4WPnDeDbUaCBBalWimcf/l5NEQGxdydK9rxLTW+uc3q4OM4ZZhQ8qgLkV7XAMSldRzinI0LvHoUmJY91uvto09YucaWI0ECC6RlkabRTzgcB8XcnSvaVtniycmJ+zLfDB18wjCclh3p1IPU3VkceWflxpyNC9x7FHQuB6Zlj1HfK/W/+iL6ZAhsJxIksFjaLfL8y5tiKTP7mLxHe7Y9p74dfHToLZfL00oeWbbGgiQUR7ochxjv7ONYMey4gUanHhunL25+XSUvt0ddR/fJAduMBAksg55/qOOQ3HaLPH7aLz951u2NJnz9THtOrdExeQJSl63jNWQcTojlSCiOdDkOcYanLOs4xGk9CnTTTHTqsdu7qlby51+y5xp4iwQJLElQzJnzD80SmPYH6VwO4l9vDat3DpDu20s7nc69e/c4nBDrwORI3+MQZ2hcYL3nJ05Adi4HVrvHoJjTw2ZYuQaiSJDA8uiKdrTruI5JjdMX5SfPrO011p5Ta/okzhodJ467ZonQvjBKHrFS+vQSf+xJLo70alxgTeRP+F3vrlzfXFgx1z56yGEzQBwJElg2s71Gbpez9fX49hr3Pad3dvDhcEKsOZ2M9CqOjG+pSXjKsnoUWG/41pmWlFxFJxqrlXz/qy9YuQYmIkECK6CTkdbRNfHTa9z3nEZft05HlOmdeih5xLoxi9rxLlQTiyMdn7ISehRE+/UExZw2TBARXbme618GyDQSJLAy2hakffQwOu1h9fqJ7zmN71FN2F6acDghJY9YW1rCkdDxx+RIl6eshB4FVr8efXgLCrn+V1+wcg0kI0ECqxQUc9VKobZbip60KyInzwePvv5Wt2kn7zm9uLiYuL102uGElDxiUyR0/NEcqe9ta9K92+1eXFxEv37iI9bEqkcR0YMK2TQD3OnemzdvVn0N2AwPHjz47rvvVn0VmRUOx43T35gyrJu5kGKueVCu75UajYbj0W39fl9EOp3OxOW8ZrPJmjU2jhY4TpxKr9VqukJdLk+eMgyCIPoQVa/X2+1266x/8nwgkRtNRIJCrn30CdlxcRhEMoYECVfc/IsWDsedy8Hx074WY5nXg2Ku+nv/0/n5n9z5E3RyZWJ21GVB5h2xuXSFOr4VTHNkEAQuJ9Ocvxw2Tl/YfQ+KudpuiWXrRWMQyRgSJFxx8y9HdDLynRw5uAj/6W+Tv9eabjEvNptNx9OxgTWnk5Hu53xGBX/+N/Lp4dudasVcUMiJCFOPy8EgkjHUQQLrJSjmzh9/3j56GI2P5jCbZNMOJyQ+IjOmFUe6CP8vH72twuF4v1Kg6hGYDXOQcMXj45KFw3E4un674vYPfyHfv3L/dq33WtTFAas2rTgyyY8/kr/8R/2wWsnTrGfJGEQyhjlIYE3pNu3mQblayVdf/tI9PmqnHuIjss10jvSo7v3+lfz6RPuEEx+BOb236gsAkKS+V6pWCo/+/l+9vstlSwGwhYL//o7sCKSCBAmsu6CY89o3MNsmA2ArfP9fq74CICNYxQbWHYkQSAt3E5AWEiSw7oIgoI8jkApuJSAtrGIDG8Dj9OrDv67/7I/3Py5oozsg28LR+ORy0H15Jf/8Vy5fz0HwQFpIkMAGaDabTqca/v4fyaeHnVcS/ii//0GBMzaQYTdnOP1LX+S+/MF9+fRQ/v3szu+q1WpLuDZgG7CKDWwAPVfm7q/7s1/o37u9q+On/fKTZ62z/mKvDFi6cDhunfWPn/aPn759ewd/+nP58UfJ39hsNlnFBtJCggQ2Q71eTwiRQRDU/+5X1tE14XB8/LT/6OtvyZHIBp13LD95dtEbdS4H5vWgmJPf/UnzF98kLFLX6/VWq7WEiwS2BGfSwBXHCayDbrfbaDSs/aTm+Jmbdb3biRlzsrae/7tfYV0bm0rf2yfPB+FwXK3ku70rfV0PJKztlvS9PfGgmiAI2u02s48rxyCSMSRIuOLmXx9hGHa73TAMq9VqfFyM5kgTIlVQzDUPyvW90jKvFpiH9VxkaR6U489F4S0R4VD49cEgkjEkSLji5t84rbP+yfOBiFghsrZbEpH6Xknnb4C1pe/h6BvY0Gch3sMbhEEkY0iQcMXNv4mia3/WP6pW8kFxp7b3UbVSWMm1AdPE6zGi/+j88We8aTcRg0jGkCDhipt/cyXkyKCYq1YK5EisCd3+1e2NTAlvOBzrX6uV/H6lwLzj5mIQyRgSJFxx8286M69jFUfK7Vab2l6JEkmsSuusf9EbmS0yFtasM4BBJGNIkHDFzZ8N0/YlmMme2m6JoRpLE39DRp9w9A1JD4FsYBDJGBIkXHHzZ0nCurZQIomlSHiY0Q/IjhnDIJIxJEi44ubPnnA41oKzaVGSGSCkzjy9yLtdApTV3xFZwiCSMSRIuOLmzzDdvhA95EPebUjePCjrnpsVXSAyonM5aJy+MJ9aJbnVSp5i3AxjEMkYEiRccfNnnk4O6W4Gs5IYrUgTEaok4cu8r8LRWGLdSbX6tn30MCjs8L7KNgaRjCFBwhU3/5bQpe2L3pU1JWnoZOR+Jc9cEZJ1LgcJbyRh0nHLMIhkDAkSrrj5t41Z2o725JN3V7dru6Xqx3lWtxGVfA6hojvPFmIQyRgSJFxx82+nhCnJ6PBPW3KISOusnxwc2Zu1zRhEMoYECVfc/FsuftDcxI20zEpuG33GOH7ajxc4Rj9tHpSrlQKTjtuMQSRjSJBwxc0PebcBkMS6sZj1bmFWMuuSnyjMp1Q6wmAQyRgSJFxx8yPKrG6bI4xFpFrJW6fS6axkUMyRITIgHI7D0XX35ZW1VB2Pj7XdkoiwWo0oBpGMeW/VFwBgIwXFXL1Yqu+V3u0BtBOMxtEwodtxROSidxUOr/crBda4N060Hc/EzvOGzjiyWg1sA+Yg4YrHRyTTWcmTy4E1DWmpVvLhaEy55Joz043TDo8xaBQKRwwiGUOChCtufjiytm/Hl7YNEz5Ik+tAU2M4HOtjgP7pmMJWEyLreyX9k9X9MdQnwBGDSMaQIOGKmx++ovNYyaufmlGCQi4o7rD/ZpnMn9FvR+OE1t8Gha2YGYNIxpAg4YqbHzMzk1taFjmtRXlUtZLfrxSCYo7zuFNnNtSLiAn31kSjpXlQFhGmijEPBpGMIUHCFTc/UqFp8uTyVXQT9zQmawaFXG2vJCLs0phNtzfqvrzSDU+O36L/2fcrBbZUIxUMIhlDgoQrbn6kS+Oj5kjHZBMNlEFxZ7+SZ4ZyIp1lFBGrovHOb6xW8kFx534hx3QjUscgkjEkSLji5sfimDRptnJbK91x0Z7V4WhcrRQ0UIrItkUfsyr929E4HF6Ho7Hc7oAx//WmlQpovtS5RlIjFopBJGNIkHDFzY+lMZEoOjc5LU1OnGCLzlNKVta+9d9RN76IiDZoDAo5ExmTv90KlCZzkxqxHAwiGUNHcQBrR9uVi4hI2ezCuehddWUUn5g07WYs3d6VxI7Muf35O/cLOd2mIyJBYWd98qWJiTcf3M4s6mRhPCYmz9QamhTv77I8DSAdzEHCFY+PWAfRQBkOr0WToiedoYwfwBgUcrcf74hIbe+j7ssrEy7fflDY8bvm0XX0+iUyX6jpMCjudHsj/e2O/zpWaow23TRL+fcLOWEDNdYGg0jGkCDh6sGDB6u+BMD2vx98KCLXxZ/+8OEf6qfXH/70/R9e6+siYj6Ovhj/1PL+D6+tX2G9nvy95jdGf0jybzRfn/w1037d+z+8fu/69Qev/0NEdl7/p34ArBsSZJaQIAFkipmZ03Nx9DBul3pKF47rxfP8fHm3onHiK8wvAlg5EiSArWCWv0UkKOZOLl/FF8GjcW3aBp3Z0qG1bj5xp3n0FEFd0dae6jevsOUFwDohQQLYdibGWftXdLeNTmRqqaKIWEFQJqVM68t0B4/umNZoqHWW92/LLqsf5+W2vHJ99vQAQAISJAAAAPz8zqovAAAAABuGBAkAAAA/JEgAAAD4IUECAADADwkSAAAAfkiQAAAA8EOCBAAAgB8SJAAAAPyQIAEAAOCHBAkAAAA/JEgAAAD4IUECAADADwkSAAAAfkiQAAAA8EOCBAAAgB8SJAAAAPyQIAEAAOCHBAkAAAA/JEgAAAD4IUECAADADwkSAAAAfkiQAAAA8EOCBAAAgB8SJAAAAPyQIAEAAOCHBAkAAAA/JEgAAAD4IUECAADADwkSAAAAfkiQAAAA8EOCBAAAgB8SJAAAAPyQIAEAAOCHBAkAAAA/JEgAAAD4IUECAADADwkSAAAAfkiQAAAA8EOCBAAAgB8SJAAAAPyQIAEAAOCHBAkAAAA/JEgAAAD4IUECAADADwkSAAAAfkiQAAAA8EOCBAAAgB8SJAAAAPyQIAEAAOCHBAkAAAA/JEgAAAD4IUECAADADwkSAAAAfkiQAAAA8EOCBAAAgB8SJAAAAPyQIAEAAOCHBAkAAAA/JEgAAAD4IUECAADADwkSAAAAfkiQAAAA8EOCBAAAgB8SJAAAAPyQIAEAAOCHBAkAAAA/JEgAAAD4IUECAADADwkSAAAAfv4f0gz9SmMfHFQAAAAASUVORK5CYII=\" alt=\"hexagon\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = totalLength(n)\r\n  y = n*(n/2-1+sqrt(n/2));\r\nend","test_suite":"%% Point\r\nn = 1;\r\nassert(abs(totalLength(n))\u003ceps)\r\n\r\n%% Line\r\nn = 2;\r\ny_correct = 2;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Triangle\r\nn = 3;\r\ny_correct = 3^(3/2);\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Square\r\nn = 4;\r\ny_correct = 4*(1+sqrt(2));\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Hexagon\r\nn = 6;\r\ny_correct = 22.392304845413271;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Octagon\r\nn = 8;\r\ny_correct = 40.218715937006777;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Dodecagon\r\nn = 12;\r\ny_correct = 91.149049352701866;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Heptadecagon\r\nn = 17;\r\ny_correct = 183.4592171734470;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Icosikaitetragon\r\nn = 24;\r\ny_correct = 366.1692405183716;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Icosidodecagon\r\nn = 32;\r\ny_correct = 651.3749639995958;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Heptacontatetragon\r\nn = 74;\r\ny_correct = 3485.606258980444;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% Hectogon\r\nn = 100;\r\ny_correct = 6365.674116287712;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%% ?-gon\r\nn = floor(totalLength(21));\r\ny_correct = 49910.46655373736;\r\nassert(abs(totalLength(n)-y_correct)./y_correct\u003c1e-12)\r\n\r\n%%\r\na = floor(totalLength(1:1000));\r\nassert(isequal(sum(a),212524005))\r\nassert(isequal(max(a),636619))\r\nassert(isequal(sum(a(isprime(a))),15303427))\r\nassert(isequal(a(mod(a,171)==0),[0 66006 119358 191178 225378 393300]))\r\n\r\n%%\r\nfiletext = fileread('totalLength.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext, 'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":0,"comments_count":7,"created_by":46909,"edited_by":46909,"edited_at":"2023-12-03T18:16:16.000Z","deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":"2023-12-03T18:16:16.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-12-02T17:23:24.000Z","updated_at":"2026-01-04T09:44:09.000Z","published_at":"2023-12-02T17:29:06.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the total length of between all vertices of a regular polygon inscribed in a unit circle. For example, a square in a unit circle would have side length of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"sqrt(2)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\sqrt{2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and each of the two diagonals would have a length of 2. Therefore, for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n = 4\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e the total length is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"4(1+sqrt(2))\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4(1+\\\\sqrt{2})\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. In the hexagon below, there are 6 lines of length 1 connecting adjacent points, 3 lines of length 2 connecting opposite points, and 6 lines of length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"sqrt(3)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\sqrt{3}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e connecting points two away; therefore, for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n = 6\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en = 6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the total length is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"6(2+sqrt(3))\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e6(2+\\\\sqrt{3})\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"328\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"438\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"hexagon\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":57785,"title":"Inscribe a circle in a triangle with a side of length equal to the circle’s circumference","description":"A circle of radius  is inscribed in a triangle with a side that has a length equal to the circle’s circumference. The center of the circle is at , and the special side is along the -axis. \r\nWrite a function to determine the coordinates of the third vertex. If the circle cannot be inscribed, return (NaN, NaN).\r\n         ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 344.7px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 172.35px; transform-origin: 407px 172.35px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 53.675px 8px; transform-origin: 53.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA circle of radius \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 318.433px 8px; transform-origin: 318.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is inscribed in a triangle with a side that has a length equal to the circle’s circumference. The center of the circle is at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"(xc,r)\" style=\"width: 38.5px; height: 20px;\" width=\"38.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 105.417px 8px; transform-origin: 105.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the special side is along the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.6667px 8px; transform-origin: 18.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-axis. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 321.917px 8px; transform-origin: 321.917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine the coordinates of the third vertex. If the circle cannot be inscribed, return (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.55px 8px; transform-origin: 11.55px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eNaN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.55px 8px; transform-origin: 11.55px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eNaN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 262.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 131.35px; text-align: left; transform-origin: 384px 131.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 510px;height: 257px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\" width=\"510\" height=\"257\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.475px 8px; transform-origin: 17.475px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e         \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [x,y] = Barker_circle(xc,r)\r\n  x = xc+r; y = hypot(xc,r);\r\nend","test_suite":"%%\r\nxc = 4;\r\nr = 15;\r\n[x,y] = Barker_circle(xc,r);\r\nx_correct = 4.909246587607476;\r\ny_correct = 33.409674703528040;\r\nassert(abs(x-x_correct)\u003c1e-10)\r\nassert(abs(y-y_correct)\u003c1e-10)\r\n\r\n%%\r\nxc = -8*tand(71);\r\nr = 8;\r\n[x,y] = Barker_circle(xc,r);\r\nx_correct = -130.0150820572266;\r\ny_correct = 52.767782896424826;\r\nassert(abs(x-x_correct)\u003c1e-10)\r\nassert(abs(y-y_correct)\u003c1e-10)\r\n\r\n%%\r\nxc = 1.5;\r\nr = 1;\r\n[x,y] = Barker_circle(xc,r);\r\nx_correct = 1.953199287786186;\r\ny_correct = 2.302132858524124;\r\nassert(abs(x-x_correct)\u003c1e-10)\r\nassert(abs(y-y_correct)\u003c1e-10)\r\n\r\n%%\r\nxc = -6;\r\nr = 3;\r\n[x,y] = Barker_circle(xc,r);\r\nx_correct = -8.464265885195013;\r\ny_correct = 7.232132942597507;\r\nassert(abs(x-x_correct)\u003c1e-10)\r\nassert(abs(y-y_correct)\u003c1e-10)\r\n\r\n%%\r\nxc = -3;\r\nr = 1;\r\n[x,y] = Barker_circle(xc,r);\r\nassert(isnan(x) \u0026 isnan(y))\r\n\r\n%%\r\nxc = sqrt(2)/2+sqrt(3)/3+sqrt(5)/5+sqrt(7)/7+sqrt(11)/11+sqrt(13)/13+sqrt(17)/17;\r\nr = 1;\r\n[x,y] = Barker_circle(xc,r);\r\nx_correct = 23.968050071481240;\r\ny_correct = 9.177341136326962;\r\nassert(abs(x-x_correct)\u003c1e-10)\r\nassert(abs(y-y_correct)\u003c1e-10)\r\n\r\n%%\r\np = primes(20);\r\nxc = -sum(sqrt(p)./p);\r\nr = 1;\r\n[x,y] = Barker_circle(xc,r);\r\nassert(isnan(x) \u0026 isnan(y))\r\n\r\n%%\r\nxc = 0;\r\nr = 30*rand;\r\n[x,y] = Barker_circle(xc,r);\r\nx_correct = 0;\r\ny_correct = 2.225489199919036*r;\r\nassert(abs(x-x_correct)\u003c1e-10)\r\nassert(abs(y-y_correct)\u003c1e-10)\r\n\r\n%%\r\nxc = 10*rand;\r\nr = 7;\r\n[x1,y1] = Barker_circle(xc,r);\r\n[x2,y2] = Barker_circle(-xc,r);\r\nassert(abs(x1+x2)\u003c1e-10)\r\nassert(abs(y2-y1)\u003c1e-10)\r\n\r\n%%\r\np = primes(4e6);\r\nxc = sum(1./p(1:264833));\r\nr = 1;\r\n[x,y] = Barker_circle(xc,r);\r\nassert(~isnan(x) \u0026 ~isnan(y))\r\n\r\n%%\r\np = primes(4e6);\r\nxc = sum(1./p(1:264834));\r\nr = 1;\r\n[x,y] = Barker_circle(xc,r);\r\nassert(isnan(x) \u0026 isnan(y))\r\n\r\n%%\r\nfiletext = fileread('Barker_circle.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":46909,"edited_by":46909,"edited_at":"2023-03-14T02:42:07.000Z","deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-03-14T02:41:59.000Z","updated_at":"2023-03-14T02:42:08.000Z","published_at":"2023-03-14T02:42:08.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA circle of radius \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is inscribed in a triangle with a side that has a length equal to the circle’s circumference. The center of the circle is at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"(xc,r)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e(x_c,r)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the special side is along the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-axis. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine the coordinates of the third vertex. If the circle cannot be inscribed, return (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNaN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNaN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"257\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"510\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e         \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"term":"tag:\"dr. barker\"","current_player_id":null,"fields":[{"name":"page","type":"integer","callback":null,"default":1,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"per_page","type":"integer","callback":null,"default":50,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"sort","type":"string","callback":null,"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"body","type":"text","callback":null,"default":"*:*","directive":null,"facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":false},{"name":"group","type":"string","callback":null,"default":null,"directive":"group","facet":true,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"difficulty_rating_bin","type":"string","callback":null,"default":null,"directive":"difficulty_rating_bin","facet":true,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"id","type":"integer","callback":null,"default":null,"directive":"id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"tag","type":"string","callback":null,"default":null,"directive":"tag","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"product","type":"string","callback":null,"default":null,"directive":"product","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"created_at","type":"timeframe","callback":{},"default":null,"directive":"created_at","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"profile_id","type":"integer","callback":null,"default":null,"directive":"author_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"created_by","type":"string","callback":null,"default":null,"directive":"author","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"player_id","type":"integer","callback":null,"default":null,"directive":"solver_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"player","type":"string","callback":null,"default":null,"directive":"solver","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"solvers_count","type":"integer","callback":null,"default":null,"directive":"solvers_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"comments_count","type":"integer","callback":null,"default":null,"directive":"comments_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"likes_count","type":"integer","callback":null,"default":null,"directive":"likes_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"leader_id","type":"integer","callback":null,"default":null,"directive":"leader_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"leading_solution","type":"integer","callback":null,"default":null,"directive":"leading_solution","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true}],"filters":[{"name":"asset_type","type":"string","callback":null,"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":"\"cody:problem\"","prepend":true},{"name":"profile_id","type":"integer","callback":{},"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":"author_id","static":null,"prepend":true}],"query":{"params":{"per_page":50,"term":"tag:\"dr. barker\"","current_player":null,"sort":"map(difficulty_value,0,0,999) asc"},"parser":"MathWorks::Search::Solr::QueryParser","directives":{"term":{"directives":{"tag":[["tag:\"dr. barker\"","","\"","dr. barker","\""]]}}},"facets":{"#\u003cMathWorks::Search::Field:0x00007f234a59c580\u003e":null,"#\u003cMathWorks::Search::Field:0x00007f234a59c4e0\u003e":null},"filters":{"#\u003cMathWorks::Search::Field:0x00007f234a59b720\u003e":"\"cody:problem\""},"fields":{"#\u003cMathWorks::Search::Field:0x00007f234a59c800\u003e":1,"#\u003cMathWorks::Search::Field:0x00007f234a59c760\u003e":50,"#\u003cMathWorks::Search::Field:0x00007f234a59c6c0\u003e":"map(difficulty_value,0,0,999) asc","#\u003cMathWorks::Search::Field:0x00007f234a59c620\u003e":"tag:\"dr. barker\""},"user_query":{"#\u003cMathWorks::Search::Field:0x00007f234a59c620\u003e":"tag:\"dr. barker\""},"queried_facets":{}},"query_backend":{"connection":{"configuration":{"index_url":"http://index-op-v2/solr/","query_url":"http://search-op-v2/solr/","direct_access_index_urls":["http://index-op-v2/solr/"],"direct_access_query_urls":["http://search-op-v2/solr/"],"timeout":10,"vhost":"search","exchange":"search.topic","heartbeat":30,"pre_index_mode":false,"host":"rabbitmq-eks","port":5672,"username":"cody-search","password":"78X075ddcV44","virtual_host":"search","indexer":"amqp","http_logging":"true","core":"cody"},"query_connection":{"uri":"http://search-op-v2/solr/cody/","proxy":null,"connection":{"parallel_manager":null,"headers":{"User-Agent":"Faraday v1.0.1"},"params":{},"options":{"params_encoder":"Faraday::FlatParamsEncoder","proxy":null,"bind":null,"timeout":null,"open_timeout":null,"read_timeout":null,"write_timeout":null,"boundary":null,"oauth":null,"context":null,"on_data":null},"ssl":{"verify":true,"ca_file":null,"ca_path":null,"verify_mode":null,"cert_store":null,"client_cert":null,"client_key":null,"certificate":null,"private_key":null,"verify_depth":null,"version":null,"min_version":null,"max_version":null},"default_parallel_manager":null,"builder":{"adapter":{"name":"Faraday::Adapter::NetHttp","args":[],"block":null},"handlers":[{"name":"Faraday::Response::RaiseError","args":[],"block":null}],"app":{"app":{"ssl_cert_store":{"verify_callback":null,"error":null,"error_string":null,"chain":null,"time":null},"app":{},"connection_options":{},"config_block":null}}},"url_prefix":"http://search-op-v2/solr/cody/","manual_proxy":false,"proxy":null},"update_format":"RSolr::JSON::Generator","update_path":"update","options":{"url":"http://search-op-v2/solr/cody"}}},"query":{"params":{"per_page":50,"term":"tag:\"dr. barker\"","current_player":null,"sort":"map(difficulty_value,0,0,999) asc"},"parser":"MathWorks::Search::Solr::QueryParser","directives":{"term":{"directives":{"tag":[["tag:\"dr. barker\"","","\"","dr. barker","\""]]}}},"facets":{"#\u003cMathWorks::Search::Field:0x00007f234a59c580\u003e":null,"#\u003cMathWorks::Search::Field:0x00007f234a59c4e0\u003e":null},"filters":{"#\u003cMathWorks::Search::Field:0x00007f234a59b720\u003e":"\"cody:problem\""},"fields":{"#\u003cMathWorks::Search::Field:0x00007f234a59c800\u003e":1,"#\u003cMathWorks::Search::Field:0x00007f234a59c760\u003e":50,"#\u003cMathWorks::Search::Field:0x00007f234a59c6c0\u003e":"map(difficulty_value,0,0,999) asc","#\u003cMathWorks::Search::Field:0x00007f234a59c620\u003e":"tag:\"dr. barker\""},"user_query":{"#\u003cMathWorks::Search::Field:0x00007f234a59c620\u003e":"tag:\"dr. barker\""},"queried_facets":{}},"options":{"fields":["id","difficulty_rating"]},"join":" "},"results":[{"id":59249,"difficulty_rating":"easy-medium"},{"id":57785,"difficulty_rating":"medium"}]}}