二维向量都包含两个值:方向(direction)及大小(magnitude)
这两个值可以表达出各种各样的物理特性来,比如力和运动。如两个物体间的碰撞检测。
向量的大小
虽说二维向量是对大小和方向这两个数值进行建模。不过通常情况下,根据某个给定向量的 x 与 y 值来计算其中一个。也是很有用的。
毕达哥拉斯定理(既勾股定理)说:任何直角三角形的斜边,等于另外两边平方和的平方根。
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alt="" width="333" />
翻译成 JavaScript 代码如下:
var vectorMagnitude = Math.sqrt(Math.pow(vector.x, 2) + Math.pow(vector.y, 2))
上述 JavaScript 代码片段可以从一个名为 vector 的向量中计算出该向量的大小。
单位向量
向量运算经常会用到一个名叫 “单位向量”的东西,之所以叫它单位向量,是因为其长度永远是 “单位1”
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" alt="" />
如果要根据给定的向量来计算其单位向量,需要先把原来的向量的大小去掉,只留下方向。在 JavaScript 代码中,可以这么做:
var vectorMagnitude = Math.sqrt(Math.pow(vector.x, 2) + Math.pow(vector.y, 2)) var unitVector = new Vector();
unitVector.x = vector.x / vectorMagnitude;
unitVector.y = vector.y / vectorMagnitude;
创建了一个新的 Vector 对象,并将原有向量的 x/y 分别除以原向量的大小。作为这个新单位向量的x/y。
向量的加法和减法
如果有两个力同时作用于某个物体,你可以把代表这两个力的向量相加,计算出这两个力的合力。
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" 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向量的加法运算很简单,将向量的两个分量分别相加即可
var vectorSum = new Vector();
vectorSum.x = vectorOne.x + vectorTwo.x;
vectorSum.y = vectorOne.y + vectorTwo.y;
向量的减法同样也很简单
var vectorSum = new Vector();
vectorSum.x = vectorOne.x - vectorTwo.x;
vectorSum.y = vectorOne.y - vectorTwo.y;
向量的点积
要计算两个向量的点积,需要将两个向量对应分量相乘,然后再将乘积相加。
var dotProduct = (vectorOne.x * vectorTwo.x) + (vectorOne.y * vectorTwo.y)
请注意,与向量加减运算结果不同,点积的结果不是向量,而叫做“标量”。该数值的重要性不在于其大小,而在于其“大于0” 这个事实。这意味着两个向量大概处于同一方向上。
如图1-28所示:点积为528,所以两个向量在同一方向上。
如图1-29所示:点积为-528,因为该值小于0,所以我们推测出,这两个向量所指的方向大概不太一样。
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4//fTmySefjO8LhcLUQRHxJIXcsMj3W9/6VnP11Vc3Bx10UPPZz342pq3VIo5CYWqhiHgSQtrBvGF7D0tFnHDCCbG/BFIuEi4Uph6KiCcZpCTspmb5su0t7bD2hje84dlBukKhMPVQRDzJkLlhRCwfbHMf09ZExr4rFApTD0XEkxCmpv3yl79svvCFL0Ra4vDDD2+++c1vxsKOQqEw9VBEPMkgIka4pqyde+65zYEHHhgvBRUN+61QKEw9FBFPQhiQ++53vxtE/KY3vam57LLL6oWghcIURhHxJIOo1z4Ss2bNiuXMb3/725uvfOUrscKuUChMTRQRTzKIhs2O8IJQKYnTTjstXhhaK+kKhamLIuJJBjMmvvGNbwQBv+td72o++clP1r4ShcIURxHxJIK0hIUcDzzwQJCwjX4efvjhP/9aKBSmKoqIJxHkga2mu+KKK2KntY985CPNj3/84z//WigUpiqKiCcBpCMM0P3iF79o7r///uY973lPc+SRRzbXX39988c//vHPZxUKhamKIuJJAPOGbf7+ne98p/nYxz4WK+ne9773xcyJyg8XClMfRcSTAH/605+aX/3qV83jjz/enH322c3OO+/cXHLJJbHXRKFQmPooIp4EQMQ///nPIy1h7rBN4G+//fZ4QWitphtMaLdObddNew517WTHIJZ5sqCIeBLATIlnnnkmpqp5Oeg73vGOmMLme++mKwwWzPmW99d+reQkzSQNZa74UKTlN4O2jkEiNnUzzjFc3QpDo4h4EiDnDp933nmxt8Q555zTfP/73w/FrqXNgwMkxHEaYDXwKrWkDW1r6vC9WTF+s3cIom5fqOO83/3udzFbxuF9hTaA6sWgLbLUy7JAyOdIUBfl1FtTFi8lcJ1DmfTklNd9nWucgy4XEY8eRcSTAIz1i1/8YnPSSSfFbAlpCcZCuSsiHgwgH8SKZG1fqj3vu+++yP0jKCRm/xDfX3fddc2DDz4YpIzIEogcCbveW7s/9alPNZ/+9KebW2+9NZa5I8VuV1g6z/0cyNHbXn70ox9Fmdzv0Ucf/fOZzwViRbIciTnt9sRWFmU3oOwFBcr31a9+Nc5RLnqaEXFh9CgingRgrJ/5zGeaY445pjnuuOOap59+Ooy6MPmBgB0ICCE98sgjzcc//vEYbP385z8fBIxcv/e974WDPfXUU5s999yzOeuss4IMEV4CWSI3M2dOOeWU6BmZS37GGWdEb8me1MhupIjT74gxI3Hl0uO65pprmre+9a2xreqVV17557P/GkhYEID4r7322ubDH/5wlOX888+PbVk5CXX0vzp6fddTTz0VPbeRylUYGkXEkwAiJTusyQ1TfJFLRcKDgYw4OU5pBHuEcKYI94knnohcL3L74Q9/GAt1Nt988+bFL35xc/DBB8dLYVtTBNJRyM1inje/+c3N3XffHREs0vPOQm9qEUWP1P33G2JE7FIa0go33nhjXL/UUks1K6ywQgwKt0MU7XyR7/HHHx/TKPXQvB3msccei2j/97//fein+3mruBWg5rvbH6XbaL3wXBQR9xkM+ctf/nJsefnBD36wufnmm0Opa7e1wYCIEzmJfO+9995IL9knRPQrj5pddWRsj2nR6Cte8Yrm0EMPfQ4RmzVz9NFHN9ttt10QpW6/NIC0wGGHHdastdZaoSsItpuoGDE66JLy3XTTTXHvVVZZJRYNKVvrfQwkipw5gY033rjZf//9I4r+6U9/Gr+5TzodpHzLLbc0BxxwQCzFl7LIuhZGjyLiPoLi6gbqAoqiRMMiD9FMRReDAW0oivQGldNPP715y1veElHxb3/72+jVJNH5FM1KNSyxxBJBrHfeeWeQeOKee+4Jgl577bUjekXUX/rSl5oLLrggotPXv/71EWV3k55ohXORp2tF4uuss04zc+bM0L0kzyyfZ22yySaRPjGn/aGHHmp+/etfh8Nwvnqpr/8tODriiCMigucsBm2mx2RCEXEfIbqQc8ud1uTtGIOIRwRVGAwgKANau+66a8wBl+9vz/EjKFGpCHOZZZaJVMNtt90W+dsEXdAr2mKLLSL6FT2LXBEdIj7zzDMjEh0L4dG1b3/7289Gu9IKdC31TGSPWPfYY49m8cUXb7bddttIlclTy1lLkYh6kbLoWP2k1LxdfMstt4z7ml1RZDw2FBH3AZSfwop8dRd1R9/97nfHaLYIycFwCpMfIkoDcQa0dPkRpi576yActBOxiNd5ZlQkDOqJkr0MYOWVV25e+9rXRj53gw02iFytmRYIcyxEl0QsYkf0BoZbiVgaRS54+eWXb1796lc3W221VZTRIToWKBiYk292r+zNGURcb731IooWPVdvbmwoIu4DdC1zStOHPvShMN5jjz02jLDmYg4WRIZmP+jqr7baahHBSi+1k1E3RIzcRJUGv3bfffdmwQUXbF760pc2a665Ztw3B//GgpGIWJlFyYsttlgQq1y3BUZSFYhYhC7qzRWf6idFIZDYcccdI53ibxF+pjsK3aOIuA+gqNIPunoiYVOKjKjLMzLMiigGByJfkao0AgLjWBFeO7ohYjAVzHQ1EelGG23ULLnkkhGhrr/++nFvejMWjETE9r1GtJ4nj6x3ZqaHwTvlURbOQflNt6SjymI+sdy1CP7SSy+NKDnvWegeRcR9AKMUTVB+kZRRZyPujFKEVdHwYECaACmZZuYlr1IIyPJrX/ta5FFb0U7EyM683NbBOrMT5GMNgFlhidhMg9tll12aFVdcMfK2crWtMy26AdKUMjA3WDk75YjpouX1prdxKupkYE6ZTVWT/xb5ipBdpz65EGmvvfaK8plmJ4dcRDx6FBFPMHIFkjmnFNyAyIUXXhgT+ZFwRcODA0Qsr2tKmTy/FILZL0itGyI2WNdKxAbLDH6JPH3SCTvymdooQl522WVjnrHpjaNx1npgyNsqOQN/G264YRAxx59pBAOFnjljxowomzSZuimf2Rwcg10BkW0nIpYfl2NG3pWaGD2KiCcYDMLAiOjE6ioT5y1jNQLNsAuDA4TDsZrri4BFhaJJUWv7ghxRooj38ssvj6jTHN321IQoVOpAV9/gnwUeIm6kKJJ1ncExKQO5WIRo8MzfntfJiSNMv4lUTYeTEll33XVjQFCvLEnTvSwqkutFrHRSeTkPkbvnI3FTLTPqVXYpDOWVQ5YjRtxFxKNHEfEEg9EwJNGQKMp0JZFKdekGF8jQHOKVVlopBrbMLpAKSCBIpCfCdZ7pYbvttlsMhnHKSaAG/QySmQInOpXiQIYiUm/0RqDujaDlpfWk3M9CEPfpNJAnN4wc7e5nip2o1qCi9IcFI34HEbw5y4haCsJUOf8bxBPpchC+s7xZJOxwvd9E65tuumn0DOTMq1c3ehQRTzAoPCI2Mi7KEOEYEKHYhcGEqFGkiJCQWHbRExwsstbmFmwsvfTSMWBm/riekUEv5CX6tT+Ft7NY8CElIWcsL6vn5Hv7kEhr+R7pmzaGjJF2K/knRMNImrOXb7bEmsOQ8xX1ukbULC2GWM2BFt17FuK1AEU5kb7UiTK6Rp05lg984AORuzYv2kAj/S4iHj2KiCcYum26shdddFHMDWXA1u6PdVpSYWxAPmTOASIPhCU6RDK+85v//T1SV1sUKHI0AwY5SjmJQBFw3hsR68brAYlGjQ3QAeSWg7TuI9qVCkCAnLR0gYU+dmwTcYqs9apEwZ5n4E30bA6v39qhDu5veTVdE3HLDyNapJtELC3mvvLP7i16tnmRVYJSDupnRoTzXOM8ETMd3meffaK8GZW7X2F0KCKeYDBKAxz2EjBJPkenK4qYWGQUiHwMSiExkaneikOqyP+69Qh1KHLRbu6DhBCbFELrLBj38TsS0/MRmcr5mo8rvWAxiOcgN6Ttb6vnRJvOdUgHiISzLM5F9Ab+5HNFrIjSte1QPuRJx1yT90W2yJk+gvsiUZ/kwXEYt3CIwI1t+I1T4jAyetarM8dZfTmt0uOxoYh4gsEwRRryw7qURqsZVmFikRExshTd6ZXkPrsiV2Tlf11wRDYUwYg4EShyQpZXXXVVTGHzqauO1BGUeyDKPJCqQ9u7h9+RIqLzLH9n9OvT7+A3z5I7RugnnHBCRK0IUzlGQhKzMnj2aIlTWZE64r/44osjsqbP6jnaexX+giLiCQbilauTA5TnM1qdUUlhYoGMkSHClJuVi+Ugzae14AHRWM0mL4q8OkXFmb5wIDa5WsTkXgZkLdJBnL0CskPMiNfsDLv1GeTjMCZCj5C9aJizklqRwhDpq+NQvYbCyCginmAweDk6q5hs9C3iqek+Ew+kgUSlBnTxzZO1OuyVr3xlbFO5yCKLxJQshCx9hIx1zdvhPq2HLjxi17ZmOIgcO+VuxwrPkOqQPlAmka20ByfQqXy9Rkb+Uity1nLa6lfR8OyhiHiCwIAYvigCCdvyUnRcebWJBVkjLG2BzESURvwt7Z1//vmb5z//+c3znve8+HzRi14UCxzkQC2s0FbacTi4N2LS07GkWK4VcfYKyo/sPUME7H914cxHKlsv4JmIX0SubhxBBRKzjyLiCQKDkVszwm2AwxQne02IMEqRJw45U4LckYk8vfm58847b/OCF7ygmXPOOZs55pjj2WPuueeOyNh+u93OCtDWCMszRKq9bF/PzpkYE0G87RjPuk1nFBFPABgMAxYBI2FTfswpbR0JL4w/tEMOVJG7ObxWmFk6LAJGuu1EPNdcc8Wrjcyp5ThFotVehV6jiHicwfhFDbqTBjYsEzUJ3rxPEZbIogx7YkDOHKJUgdkSBrs4RQss2sk3CdmnlIVUkule8rL9ikYLUxdFxOMMBqsraSqU0XhbXiJko9wIWlevMH4gfzJ2GBiVu9UWlg0j1+2337551ate9VckLE0hOs7v5IxtU4q8tVmRcKHXKCIeZzBaOUnRlO0MrWwSDYuEC+MPEbDBJYsSrASzSs3gm70e7LlglsQ888zzLOmKgBEvQva/lIUBO6vLqs0K44Ui4nEGIkYEtry0ubcozOom0ZmuckVX4wcpBCP7ZkZ495o0xDbbbBOvH1pooYWCgBEusp1vvvkiF5xpCVGxc5ZbbrlYLafNclFFodBrFBGPM3SJjc7bSMUbHCwSMK3JDAoRlqlHRcbjg+yJmBlhQx6vAVpggQVidkRGvP6WmjAzYocddmjWWGONeG8bp7n33nvHLBdpjKHmERcKvUAR8TiD8doo3GbfBxxwwLMbbssbyznWFKDxA7kaELXLmEh44YUXjui3NQ3x8pe/PHYPMyvC/gtms4ieLVGWQrKUOBctVDsVxgtFxOMIhistYS8AEZcdqkyBMmrvN13niojHF9IJluTaE2H11VePGRBJwqJh7WJHNEuTTWmz74Q0hP8RcO5DUQsXCuOJIuJxhIEi6/BNV7MHrO0NETODRr7SFknCImepCrMpRGHe5muE36fIuWZXjA2I2K5j3pK9zjrrNC972csiKpaa8IZku5e1vlnC+eQtdSSPb9qhz5qyVhhPFBGPI0S+Nn6xGbhpUhZ0SEl0Mmj5TPse2IvCJtw2jfHySKP83uRgvwO5Zl3kIoTuIO2jByI1YaaEpcxSFHLAUhLes8ZJin4z/0u2/uZEW49Wp1ko9BpFxOMERiuSsreEtyHYf1iEKxXRCSIv+87ay3bLLbdstttuu1j8YcTe3hRW5Hlxo93AEEySQ+G5IHsOz85ndrjzdgt5Xxujc25W05EvmZpRIY9cKPQTRcTjAESAcEW4usRen5Nv7B0qzygtYVDPZvFWenkHmL1mr7766ojaNttss2brrbeOtzbIeRrwQ8YVpf01OCc9ETNT9CbsnpbvBZTycZCzvL29h+V/a1paod8oIh4HIEdRq7cWeOmiyMvAz3B5RuRhqpXI2WvZrcJD3vKbtlT0Ohpv8fW9rnQR8XOBhA2qeQPK2WefHQN0Bkht1yjnS17SDtJApqP5DgmXDAv9RhFxj8GoGbzX3XjfGBKWbhhp+pPfEYZ3mW244YaxAg+hGOzzShqvLF9mmWUiYpYrlvYoIv4L9EDI3D65ouCZM2dGWsh+wJxW6+wUnwjZUfIrTAYUEfcACJZRi8gcomEE6uWO8ry6yMNFw66XP/aCyD322COmVBlc0n02UCdKlqqwKEGOUzQnzTEdiZh8k0TJjVyldaQYDHRyVAblzAvm2Dis4RxgoTAZUEQ8m0CEurfIN+cFm6Jm4YZ0gtSEhQKtEVk7XGdGhXedmWJlVH///fcPUrEs14wLr1+XMzagZyBKBD0diVid1T/3FDa9T6rGRkonnnhivGnjjDPOiDxwbtJTKEx2FBHPJhAhQmD0PhGyvK7I1Yot76cTwQ5HCIjFYJLutPSDaVVSETam2WijjWK/3P322y/I3XOQESKajl1ruXQzTLyE1aDlXXfd1Zx77rkxs4TTuvzyy0P+5DPdZFMYXBQRzyYYO6NHDogY6ZrzixR22mmnSEsgj+FIwe9IVpdaNCyK9kYIUZ6pV6LkzTffPM4RCXuOqFskrqs+ncD5SMuYH3zLLbfEgNyee+7ZHH744SGz6eqgCoONIuIeQLQr9YAY5Xq9NBI52Hs4p60NR5i6116dZL7xJptsEoN8iMYryt1LisM71cyFNTfWaL8o2nOnG+FwRPLv3pSsB2FrUY7L/2amFAqDiCLiHgEhIkevP7rkkkuCUM1f9dJJ3w9FmL63t4H8poUcltzqbpvvagDKggNE7M3CznGuKVrTLRIGkS4HpZehx2EjJW/ENshpJomeRaEwiCgi7hGQhGlSs2bNak455ZSY4SDKRahDAZkiD1Gz2RXywaJob5CwkbmBOflPpL7ooovG3FhRsmdNN+hx6G1YHScfrMdhmhrZ9fpNyYXCRKOIuEeQljB4JJVgNZ0ZDrZRFL12AhJ2DaK26MCqOblgUa9IWIRnS0bzkG1kbvqa6Vly0dMxLywnLgd82GGHNW94wxtij+FHH300Nkky66RQGGQUEfcIyFFkZtTePgYZvQ5FmiI4S6CvueaaZt99941lzfbLtXm81XO+M0AnSjaV7dZbb3129sV0ywvbC0IOGAmLgm3iQ7ZkWANzhamAIuIeASmYz2oOq6ln9jGQqhgK8saiXlswnnXWWRFF2+BHRIzEHXZhQ0C638jItLXpBr0DxGtRix3pvHfO4CZ5FwEXpgqKiHsEpGt5rRVx5vzK8w6Xt0Sq5sIafDKgJx9sEcJXvvKVWJaL1M2HtTG5bvlwC0KmGvQipGAMTHJEVsnJt/vfSrmKggtTDUXEPYLIzWj+EUccEZGtKWbD5XIRSU55Ex23H0gcWSOd6bQ6TH05NRsmWWlonjASNm3P/OnpJIvC9EERcQ+AcEVrVtHJY9q60sKCwuiAZEX/uSDm4IMPjm0/7UrHOVUUXJiqKCKeTSBhCzbM97WwABGbByzSLXQPcpSGMevETBFvNbGwRYrGzJMi4cJURhHxbEJX2mwJpGF+q03cTWPzfaEzRL4clQPBSsHIletJ2OhIakdu2Aq64TbTLxSmCoqIZxNIxGCbRRxewWM6mghOjrcI5LngoKQZDMbZwMiUPPKzSRICNj3N/GkDleRYMixMBxQRzwZEcwaQTFWz1NYiDoNMSTQG4wp/AXlxUAjYdDyvMzI/mhPTm8g9mK0qzGi5UJgOKCKeDSDafBOHRRgGlkxb050WzVV64q+BWG0TmnsI2/Te0m4LYLyZxJxqy5hLboXphiLi2YBo2JxfrzXSpUYkRv1Hei3SdIUBObIxC+KKK66IWRHez2dwTq+CU6teRGE6ooh4NmBBhvfJmS2Rex/k3N/CX4CA7QehpyAd4RX3UjleC2UPZvsKi5LJrlCYjigiHiOQrf1v7Y5mqpVBOos6Cs+FfK+csN4DEn7ve98bA5vmXZuuJhIuEi5MZxQRjxFywF5OabqVucNeeW8QqvDX4LCkayzdlkuXwjnuuONiqppFMGQmYi4UpjOKiMcIg0rmutq0/eijj45orxZx/AUG5hCsvSEMzJGVt1qLhr/whS/E9pWFQuH/UEQ8Rtj7QF54xx13jEUctrSs6Vb/B3KQajCF78EHH4xd5MjIm0s4rHrFfaHw1ygiHgNEevfdd19Ewt6ZZu5rRXj/R8AI1jxqc4Et+za3WipCDt3quVqkUSg8F0XEY4CIzh65pl2ZPzzcmzimOpBvHuYIm0liZgQSloawWs6qOVPWapFGodAZRcRjgD0QbOZukE56QlpiOuaHkarBOBGwKNdyZRu3S0HY6N4iDVuDImEkXSgUOqOIeAywcEMkfOCBBzZXXXVV7Bo2HadfIV+LWrx3z0KNp556qvnwhz8cbyjxXjlvV7YBUr1No1AYHkXEY4AZAN62bI+EJ554YlrulYuEDcaZPeKVTzfccEM4p9122y1y5xa6mFdtX+aanlYoDI8i4lFAN1waAgHLfXqrsHmw023wiRyskkPC5gJ7xb1BS6+4P/7442ORhpd7IuEamCsURkYR8SggD2zTd4sSvMLnzjvvnJbRMCL2OiOLNC666KJI0Wy11VYxO8KeEdIRmTcuFAojo4i4SyAV0a+BKKvpvGV51qxZMVtiunS9ORxyUGf5YLI44IADmu233z5mSHz+85+vdEShMAYUEXcJA062uLRvLiI2d9g0LXnS6RL5iYTVVzrCoNzee+/d7LXXXvGWZfswG7QTCRcJFwqjQxFxl0BAFnHsvvvuMS1LF9xsCblSU7OQ1FQGZ2P+tB3mbPspJ2yzI3tGPP300zF/mLMqEi4URo8i4i5hhzCkIwr0mnf5UVO2dMOnej7U1DxOR9R7xhlnRI4cGZsZYQc69bePcJFwoTA2FBF3AdGuNIT9EqymM0vAgBTy8ZtjKg7YqZM6mh1ho57TTjutmTlzZgzQ2XkOOddGR4XC7KOIuAtIPTzwwAPNkUce2Zx44onNF7/4xSm95aXIFgGLdG3YbnaIFYRI+P3vf3+QsFRNoVDoDYqIu4BNze0tYYbARz/60VjAIB86FSEK9jYN09PUUy7cwJypaQblbr/99ubHP/5xRcKFQg9RRNwFzJbwYlBpCfOIRcNTde6wfLCd5B5++OHYyN3CFTuoWbxijw0zIyolUSj0FkXEI0B0qGvuVe+iQvvp2l9hKkEqAgHnXGkkfMEFFzRHHHFEvFvO25bNjFBvx29/+9uQS6FQ6A2KiEeA2RJIySY2FnFMpbQE4jXQKLqV8zU97cknn4y9gzke75Xzt4FKs0P0Apyv/tNl7nShMBEoIh4BokOEZDMbizim0k5rBuNMwRMFG5R75JFHYoreySefHNPTzA7heJxXKBTGD0XEI8BWjgcffHBz+OGHx2t/ENdUiQYtRvEmDWRrFzkzI+TBzQwxSGe5snNEwYVCYfxQRDwEdMMRrlkSVtKdf/75MVvAtK5Bg7rIA7cPMIrs7ZJ24403RtS/3377xQwJA5LmSSPhSkEUCuOPIuIOQFgI17Jdg1XmD9sMXhd+0FaPqYuBNaSaKYZ0MlbFyXvvsMMOsZn7ueeeGysGc7lyRcKFwsSgiLgDEJUBLDuMmTlg+tagvnMtnYpFKVl+JGsqmuXKSHjTTTeNbT2RcL1huVCYeBQRdwCyMk3LBuci4iuuuCKixEEj4QRiFRU71IuDsVx5m222abbbbrvICXsBKhKuKLhQmHgUEXcA4vIiTCTs8EZiXftBBOeBgM39tVBDZC8PvNlmm8UGRhdeeGFExwhavQfV2RQKg4wi4jbIAevGIywRo8jR/ruDPHdYnUS79suwcdGOO+4YU9TsnmbVoI3ei4QLhf6hiLgNuuaW8ZpPu/LKKzeXX355zB0e1C47ErZYAwkbmLOFpUE5+wrn25fVrUi4UOgfiojboBv/+OOPx5s41lxzzZjahawGgaiU0ZQ0dRDBi4KtijMn+KyzzopFGqbjSUUgZ+dVJFwo9B9FxC1ASHKl9t6VQ/U2DpHkoKQlRL/SDHZOs4ewWRCI993vfnfskyHKR8KmsQ3aNLxCYSqjiLgFokMDWldeeWWz4oorNh/84AcjohyUJc3I1Vxnr/y///77Y/c0i1GkI/Ide/aMKBQKkwtFxC3QVUdW9t1db731mnvuuWegFnFwJCJhb1NWB1Gw1zqZ9WHxRm7cUygUJheKiFugW2/jc8t9999//1jmi5wHgbws1rBvhJy2xRnqIC/sbSL2jDATpNIRhcLkRBFxC8y11Z33Jg5zbQclGpbD5jSuv/762Mjd25VNU5PrVickXSRcKExeFBH/GYjKdC5deUR89913RxQ52aNhJCwn7FVOb33rW2Pf5OOPPz5WBdqkqFAoTH4UEf8vkC1C+9rXvhaRpKjSe+rs0TCZiFhZsjw+zf995plnYvN2e2Lssssu8XJPuW37Cw/KbI9CYbqjiPh/IRrWhbfSzFQvudXJNr9WWeSrOQdlE60jYe/S22uvvWLPCGX/0pe+FNPXan5woTA4mPZEjKxMT5NjRcDvete7YqrXZANngWAt0pC7tjLulFNOiTeH7LHHHrFDnIFGqwARdrdw31pZVyj0F9OeiEWOVs59+ctfjhyrnci8MmiyQTm9P4/DsFOaXLZUhIE579SbNWtWpFNGs1jDefm6JGmMiqILhf5g2hOxaFg+9eMf/3i8oUJULKqcDECKeYhypSLuuOOO2CvijW98Y3PYYYfFa+6RM0I1O8J53RIx8rWrHIL3po7c/KdQKEwspj0RW+TgzcXm3uriX3rppdH97zeQr5SBnLDjN7/5TUxHMyPCO/QMyt13330RBXMmzkGqyLTbDYrU032/853vxCvz60WhhUJ/MO2JWL5VbnWnnXZqDjrooPi724hyPIFcESuidFiowVEceOCBMUvCDA+/58wOh3KPpuyiX1PfPvKRjzQbb7xxc8stt0QeulAoTCymNRHrxlv66w0cXhlkWbAlzpMBymbfC3sh33DDDc0+++wTjuKiiy6KgTqr5WZ38x7zpm3zad/lJZZYIhaEmD1SKBQmFtOaiHXjc/aBiPjaa6+NfOlEQ/QrX+szoWyPPfZYc/HFFzdHHXVUkLC/fee1TdIKzhcJdwvnusYOcwj81ltvbfbdd99m0UUXbZZccsmIuisiLhQmHtOaiHX5DX7ZoUze9c477+zLK5FEtsjRZ+Z6n3jiiYh+Dz/88OaQQw6JQTlbWEqlyAGPZoYD0kXAScL2pMhVhGuvvXaz4IILNquuumpz2223TYr8eKEw3TBtiRiJWQJskErEaQqY2QfdDnT1EkjVc0XFol1bWHqVkaXWNqi3XNn3ZkWMhoDBua5D4KapIVr5ZekYu7PJDS+yyCLN5ptvHsu6OYHR3L9QKMw+pi0Rmy1hvrDNfXT7vcWin/lR0aq0iOXJllkjYPshSx+Y1TDaNEQrkLf66gF4R50VhKa+XXLJJeGEvBJqzz33jFkZ8tL9cEaFwnTGtCViuVDEc+yxx0bX39ssdNv7AQNz5vHedNNNEaW+5S1viQjd20GkEESpYx2UQ97SHSJi85DNjJCKQfTe2GERi1dC2SzIPsbmUCP9QqEwcZi2RIz4Pvaxj8UGP1bT+R8hTiSQpD0jzNSQA37ve9/bvOlNb4qXfFo9J4JVJhHqWKNh1+VexXLgomzLoj3HIKVIeKWVVooFInfddVfzq1/9qiLiQmGCMS2JWFddBCwtITq0t8TsRJ1jAbLzAk/T0+Rr7XFhB7VTTz01liuL2HtBiEn2Bv8uvPDCSEUgYQ5I3b2bb9lll41BwYcffjjKNJFyKBQK05CIk5i8PggROewzMZHRMKIzaCZHffrpp0e+FkGec845QcLIkLOYXairtITcs7SHtzjbHEiO2AwJ6Y/tt98+ImLfi8xr68xCYeIx7YhYlKmbjoREhpY2P/3000FYEwUkjPwNypnHKzq110W+5r4XJAzqJNVgteBpp53WnH/++bFNphkYBu+kKiwUWWuttWL/in6kZwqFwjQkYgNR0hL2ahCFWiQhDTBR3XFTyES9NhdKR2AAzQo/kfrskLAIWP0c5iRzOO5t8M9gnFfre7koR+DTrAnT1pZffvl407O8dK9SIoVCoXtMKyJGVGZG5MwBMyZ00Wdnali3QPRI+PHHH4+FGqJgA2eiUjMjDKjNLtQhF4eIeq0aRPg777xzvAzVnGnT02wUxBkYpNx6662bDTbYIJwSWdiJrqLiQmFiMa2IOPOlomBRotkJdl4bTyBgxGb6mOXJolL5WKmCe++9N+Yu9yotgogRuuXR6omIDQRyOPLP0hJmYiBjb3eWqhCRO6QmpEukMmr6WqEwsZhWRCxSFJHaSvJtb3tbTBlDSuMFJCxClQawZaXoFOkhQESInMcjJYKMzQJRN9G27S19qn+mL5TJ9+YWyw37Xd64V/npQqHQPaYVEYv2vO346KOPDlI0dWy8iAfBmoGA6KQEjjzyyDjMXX7qqaciah0PEgZk697q5hBx+8z0i8/8Xj7Y0fp7oVCYWEwbIkZMIj977xoks/2jvXh7jSQ50afpYJ6D+K2YM4UMMfttvEi4UCgMHqYNEet2my3hTceW99rDQYTcSyBhUaaUg/ysFMTMmTMjFSIVYZBM2qBIuFAotGLaELFZBMjXCjKzBaQler14Qe4V2SJdK+SslDNNzkY+CLq6/oVCoROmDRGbp2uTG2mCq666qucvCEW07mkjIQOB2267bczKsHNaoVAoDIdpQ8SmZtlUx3JiuVrTuHoJextfdtllsYmOVw+ZpmZ/45oKVigURsK0IGL5YZuryw0jY1PYDJj1AiJhS6Tlg+1rbBczy6cNBJq6VumIQqEwEqYFEXvRpuW8FnGIWqUQEOjswJSvfNuFxRDepnHooYfGqjmzJQzKFQkXCoVuMC2I2AbrXj30nve8J95RJ0KeHZJEwmZcWKlmK00b94iGbTP5zW9+s0i4UCiMClOeiM3ptbOZvSUsKzZbYnbytqaeiYStlDMjwibrZkdYqGFgrraRLBQKo8WUJmIkbNqafRbMHzZrwlLese4uhoStiEPCOT3NHGGvGLJYZHYj7UKhMD0xpYlY5GtgzgCdPR6kJca6tNjGPXYmQ7qWR9s57dJLL430hJyzgblaqFEoFMaCKU3EyNE+D2ZLSEsg5bFEw+5jFsQNN9wQ73n70Ic+1Fx33XXN17/+9UhTIPyKhAuFwlgxZYlYdGqLSavorKYza2Ise0tIN+TLPW0naQvL66+/Pr6zkXuhUCjMLqYsEZu5gCy9meLtb397bAYvX9wNRLeIXDrC64sszrCRuxd83njjjbFQowblCoVCrzBlidjKOamE17/+9fGCTm8x7oY8kbBUg2janhFSGm9961tj+pvly/LENT2tUCj0ElOWiO0t4a3Flhxfc8018f62bgbTcqbFXXfdFftSHHjggTFXON9eIUouEi4UCr3ElCRiA3LmC5teZjWdtxiLcIcDkhbp5kINb1jee++9g8xNV/NSTSRdKBQKvcaUJGIv6RTRyg/bAQ0pD7W3hOgWwRp4k/s1xe2MM86I5crmCouEkXiRcKFQGC9MSSJGqOb47rPPPvFmYu9uG2ramu/NLbZxj6lutrDcb7/9IhL2TjezJmp+cKFQGE9MSSIWxZpqJqr1Vg5E2wlI2DxgA3k27rFzmpyw1ynJMRvcKxIuFArjjSlFxNIMyPVzn/tcTDezNaXoWO63HQhWPlgKw/Jnsyvkky2Dro17CoXCRGJKETFy/cUvftGcd955zSGHHBJvbPbqovYtLxGsvK9XGFnwsfPOOzdHHXVU7Flszwgr6QqFQmGiMKWIWDRsxoOd1mxLabaD1EPrQBuy9nJPv5kj7I3OxxxzTAzS+b5QKBQmGlOGiEW5FmJceeWVzZFHHhmb8oiOWwfpEPLvf//75s4774wcsqXPZ555ZvPUU09VKqIwpSDgoO+Oseq169xnNNfnM0d73VDo1X0Seb+x1G08MaWI2OCaaNjbMq699tqIhgk7IU1h32DT2gzk2cjdGzbqlUaFqQQ6b4DaGIgVpmPdE0Vw8oc//CGmfnZjHwjYYigBENub3bfgqIcUoue3BlRjhfvp9bqfQ93IZjLY/pQg4iRhe0vsscceEenOmjXrWYL1adN209PsF2Fwzmbxdk/TGK1kXXgu9DRM4xspd06p8zwGaTn4z372s7860kitUJxdZLu7r5kv2txAqz2ns+2RgTb2PGWz8ZNZNc63SKedLBg8I3Wucj755JPxYlh1a9eTfPajjz4aqa177703dNDzZhfK7pnGLNRJGYaD+iLeb33rW9HjE4gok+u1X0K93O/uu++OIKS9HZKsHnvssRhjMQ2U3ZBXriwdCuRhnMV1djocarZSt/CsBx98sPnEJz7RXHzxxbFxl823lJ9stJ02VA/2rHdr9pPy0gXTVt2DLIFjMS5ENl6ZZg8Ze8fgBnLpJ6YEEfPElMfeEjvttFMMwHlPHQWkDKawUSh7ElukYVYFg/SbawudQYHJkCwfeuihIBwkNZTj0gYiMMvJGTrjsTjGohp/X3755c0VV1wRGzAxHmSdhDkaaDPlUC65foaqfd1fj0dPh5N1jvsjf2VCSjfffHOMDSgPskFwymwRkHMZuDnl999/f8ygsZc1ckG4SdpJkhYKfeYzn4lnIwn3ZOD2rDZbpxPITpSH5D3PPREYOftN3eil6ZPmwHupARlaHdoJyuJ66TXlNFPI3io+ETJniIwQFpJGqOrl7TI+bWr1zDPPRFsgKuVSfitL9RzNJrJNwHHHHRd2Y+/thPKqg/Jqe2Ww5awD2c3OSxjUyTx+286a17/ttts22223XXPwwQeHzJVDmRG1+iqr371BXXmN+6i/tlVOzpEDdj9bFmgn+kIXvGcSR0hb9gtTgogpM4WjXBpNnpjiUSrGZl6wSFjeGEGk0g1FKIW/kDASY+AcGIX1/1DOi7JL/zBuhLvrrrs2G220UcxKMTVQT0RvxQwVBMOIxtIjQSwIVLm0q3y/zfq1OxJGHshRpEMPEM1NN90UkRpnvPvuuzeHHXZYvG3bvtIGeBGncxmjcnEezltuueXCeJFYRoP0zb0Rr21RPVtZ7GmCuJEA59DJyWSURy/pLEJHZM4lV78jGdG1gGLHHXcMOSL6TlAWUbjojixsUEW2omH15ow8Q5uQjbIaQ1E355thdNVVV0V5kJZoE7FJ3eldbr/99s2GG27YbLDBBnG+9z8iSUCy5KUeImD6seaaa0ab27NbudRnKEer3d2jnaz9z/Ehc4uydthhhzi8lozuiGI5Vfd3jvoo7/777x/yWn/99ZvVV1892kY7sXVOwv/4gRwEFtpB21o/oOwccL8wJYiYoAlxr732CqMUJVFmwqZ4FMin3dR47iLgkcHAGaaunG1EkQESQ7RDETGjI19tgZhEKIwYCesuirQYg6jF/ZAlox7KUNvhPIdupIhaNONejEn0iEw4Ws+0z4joV8/H9+rAqDfeeONmpZVWatZbb724VoQlOpKC4KBFxiJ/JK139ZKXvCSI1e/0DJRZ/UR+xiTsTy3iRnZI0BiFa0Ts7SSDGHWfkR/yyrQJeaubZ5Dxww8/HOcpg3JyDO2gx4INxIKETNn0t/uqi3JqK3VCOmQislxttdWaFVdcsdlqq63CSZpzn2kMkTeHxqlwXP5mP8gNKSMsJJnP1xaidykDxP2KV7yiWWGFFWK3Qo6AM0+ydShPHsqn/o78zj05JoRPvmY/aV+pBxHuI488ErKWJtEmSJkTYvN0gHMUHb/85S9vtt5666g3PbZzoroiaufozTjwAl2kl9q9Xxh4ItZ4jF9DrLvuupEnskiDcRCuqEIXjDEWCXcPhMGg9TLIda211oq/Gd5QxOkaxICAEJUohnNEuLqZcnYimC222CIiFtFjtxGxZ4oaHdoRUSG7vA+HwQEg4uWXXz4iH+QgkkXalqwjoSWXXLJZcMEFm4UXXjjICBEjHMatbg7kjZBEl52I2Dl0yqZQoimkipxE1YwceQxFxOrrN+kGkbj/08GA8xERUqTD6oGIRantIGu6riuOsBGWLrYImF3kPbUL/ec0tCOyfNnLXtbMmDGj2XLLLaNd5VT1drS5qDjJTp20pbo6V89IWybIgu25h1Wp5IvopTbITBqGbPRgpCpEz3l4hvs7/O/52td5yFUU7pmcqB6GconAOS0krnycgOvVUY9GlMyJLrvsss3aa68daTB6R04cjzYnB06a88ERHAjecP9+YeCImNGKIDSIyIFSyOfxbOuss068Mp/Str5Ng4ApbbtRFDoD4VBwUQgiQGyUWneTgbeDwTNIURiSdK0ury6qKEzUop0YuSiWgW266aaRq2N8IhakxODl+Tsd2lH+V1SkPd0LmXESutnuxVjdf+WVV440lAiHUYt8RHWbbbZZEMVCCy3UvOY1r4nzRJLSKEgcgdEt5Ukn1ImIfSqHNIso0WdGkBy/ZyFnOtfuZBBv7m8t/eCcRBIMWZIj8kBuSZa+T3IFMvWsVVZZJc4R2SqHaFI06h4iUhGx/KhyktcSSywRcvA3kufIkCki04bKqI7K4ztOjnMRTSIs7eu+yq4XwNGqtzq7p4PtcZbKqCekXMjVOXmItn1H/toWOXJArpGKcR9tRI/IQd5bW3JUyqYM5KWs5Ox/hO5eWTdkq04clAibrBCydAaOsI6ADHNPmn5hoIgYkSJgXo/gCFxXkKHoXvDE8kjyRZSLYWhUitiJQArPBRmLYBCN6Ee0RXl16RkhZSdLEYhIBClSfpFPDqAwFpsnya+6HmFqKw5SBKmLqM20oWvcR4QpamXAQx3alPEiWO2KuBHpJptsEvfUNfe8fffdt7n11lvDUSMjA3fetq3LKm0hWhJJIxZpE/dEKBlJIjy5RWTeiYjJSNTM2Yj4N99884gYGbf7IQxdaETFuMlImZEBcnWNsroeyYlWDaIhT1Ee2WY6wXnuLy3kuyR2ZUHk6r7YYouFQ7B/NjkheUSGfDkVxOXZ5Ef+eiScoXLIuUp7SON5brZvEj756dYrBzLUjuSqLGTCWXPQBr7UkUNwb+V1T+2EYJXHc+gQPciDA83BXPl654uekTd5Zo9APUWu7F0Pp1NPihPlJNwLeXN4OTtGz0g777LLLs2qq64aBE8X/O+eOIVM1Vv93av9/uOJgSFiQkHCjDy7f7q+Gl13Y9FFFw1Pz8B0NykI76qrM5ECHWRQQIYrl657x5g4NflUUQSFTWNF1hwdw0IICATpIFZkwzEuvvjiQeAIUJvIGSOV7BrqunueaFR7MUzd6+EOuWbEivwzwmZ0dGCNNdZ4NoUiGqMvyotURWTqhCiVAwnpPovmRE0MOA1R/RAtR9SJiLMHoN4GIDPvLI+K6JCV60X7iEDUp27KqsfmPD0CxCaSREZ6dByT65AcAkRkBhURp/PochIkeYskRbYcnmjXfTgPbSYfrr3IChFzdhwXMlJmeWztq6zqoS3UuxX0QTvraejZkD/nQK56GogTuSNiMvQs7Zs9U+e6rwhdr0YUTN4cFSdkEN2n77Sr+iunumsPszToifsjYXpoINZ92Lbykgf7Vlb11O7K6TxtTk+QtvuK+gUI5I8rHMhYoEBHknzd170msgc9MERMSLwlz8v7y3PNO++8zfOe97xmjjnmaOacc85mvvnmC6VkYM7NhiqMDAqItOQKDRIhH0at24boOD0OkIKSK8VGLAweiTIevzE8xs1B6qEwCISD+BioLqPrkCiDFkkzOhG4+yCt4Q7RmegFyRkJN9BGHzhgkc6MGTOeJXqRlTohE9GmyBSpiI4RIwISKbmX8xK6vQwdsXUiYmD4IlkEKhpGEp4vymbYIlAk4BMhIixdYYSmrOQgepdOQLIOMzs8V2SuZ8EhImIRobZoBRm4RoqFY2EXnoVs1E95OEAESMbsh7zJxHNEoX5DQOreHqywGw5BO9EHzyJ7jjadBN3QtuTE+bqvNmeDuvx6JeQuMjfljBNAugYUkbH7ko2/9Yhcz26Vh455vrZQxhw8NRCoPcieM1RudaN75C0NRtY4QNndgwPLKFu+WRBHL+kjBy7qlvpyPfLVzvnsicLAEDGvZiBGnkf0i3QR8TzzzBNkjIj9LZ/J0BECQRYRdwcKyAiQiO4+5UQcDE0EgWxELdnDoKgMzfly9AzBbwhLJIlskAhjZ7Q+RWrSHLq5iDJTGdpKdCeK0r0e7mC8yAaBIm9EJgrVxWb8omI6gCQ4FeTDwDxLlxp5Izi/qa/vEF+rnmR6Bkl0ImIkjLwRCxk5pAPIDcEiDOTi3khQlMsJODzXebrdrhcxZ17UPZGL5yu3eqpTJyIWfSoXWxANcyq64O4hUuWczBrIaWQZObo/x6dnKaole/VvJ2Jt6Tq9HkSr/chQThapcZr0QmSvt2Oesd6GQVCDoX6TJlEuA7ScA9udOXNmtI20gfOVXR39JjWVbaY8jnQIyFwE7770hNyUhaz8TsaeheRF2UhYPdVNXZyvnQQOdAjxux+HtfTSS4dOisg5GdeQk3aeKAwMEeuKUQpdlL/5m79pXvSiF8XnAgss0LzgBS8IIkbMBmIoBmMjzCLikUHhKL8RZt1WEQMDQXxmGpgbmtEVpWcgIhaj3gwakSApOVHKjHB11UWL0g6+dx5DEzUiCd1LJJzXiUgYPCfa6UDuyM512taBZNzL77qxoi4GLgesO4/opEvoDkfhWYwMYSFJxOLvJNhEEjGD7UTECEA90zkwajlm0RjdQ06ckK65+wgiPEdZkBgykj7RnVc2EZ17kmmSj/85MCQlLeR836U+Ix71lprwTLlmbejwN0eKiEWGypYQnCAbz0VQ5JDOFfLZSFgqQwSrbUS22l5dtCmnbPBTz0dELhUlP2w2Bruc8b89EzJAoJyGMolIzUbxtwiaIyUD3/lbCkN5PJ9MUh7k7pnK4jl6M/53DhsnU+2fuWYDv3RKr43MOWK6q7z0OAfwPY9ToKucHeep3vRSysz9JwoDQ8SMRs6H4Yl8HZ0iYoduh2iN8aWCFToDCTMuRCkClLfTfSc/n4jAQImIgbInGZArA2acyM19Mm+ZqQIpiozyKD7i9D1yd55o0b0YnIjQYM9Qh243wxHpuBdDlu+TNtEt131FFqJB5eU8EBUj1dVt7R2lcSu3+iDeVjhXtMiwOxGx65CCXgIi1mX3DIaPvA0AScVkeiSJJXOVnIUIV8SLODuBTNRVpI/gOEiyzCgNWYhK9QAEJ7r1SAfhu6/2MmiJmJQhoe7Koi7+1jYpG/+rm94Gh0d+IkxOjzyUnRyUyyHy1CPicB0iTL2RZZZZJnoF0gkibnaI/JGbNvd3+4E4HWSlDp4loiUfddX+ykIfyZ6+JNnSVakTEW/2MpSXE+DM/E8XjR9wUKY1Ily9I3qorAgeEdOjdNTZ3hOBgSFiSsYLI9m55547iDdzw/np+/nnnz8MhNelVGl8heeC4SFSRoVARKzkxuAZAIM08CGyYtgimiSCJDNkTMbIjHE4X3dPVKgHI3LLgReRoK67SMm9PLtbeIZnITNOWToEQYpyGDyCEH0arDGdTRRpIJGhjiZF5TxElRGn6E76gzFnXZEXEtRzQKpIEMFkWkAeWB1FeUjE85P0EABSRfKIQn3a4RlkywHpviNihI84fO93hOV6aQ55aeREBpyRSFYZdOGVgR0MB/fLeikfwjOYh7SkFzhk90RaZj9oO2Ql0iRznwhXWoHcOUeRuEg4HXc3SEcgKECWnIF7inDJm27pFem50U3yUC4OmXOXRnOOsQSErBflHuSkByMnTzfIXprTfZ2n9yd3rEeVgYOgooi4A3hVwiM06QdRcB5zzTVXHC9+8Ysj3yMfpesiquhWCaYjKBzjRVgITVSjGytykW5gxDm4JGLgCLOXgZARqajE3z6RLXKSfjC4R8l1O0UjBtAQivvoyktrjAXIELllRIaEdC/lIUXM2S33PASJtEdDxOrCCeWCEbomn4v4RW5+dz9yY/QIktykIUxZY/j0T6TIAXFQnu0askNYSBOZcFzq044sg7qIAKVZtAPiQPhZH6TheeordYG81JlcyAQhsYOR4H4O99M2uukiW+3o2bkijUPWtVd+5VB2ZOVaBGpamemj2l7PSl3VpVs4l+4hRHbuuaJsqQgRL3mLfkWtiJgMtZHez+te97oYKJQq4QgMxImA6TbC5pAN7ArSkK6egh624IMz9RsHQKc5D22NPyYKA0PEjJ9iEyBB6zIiXrniF77whc8SMSJA2EimSHh4IAIkoiuvO2nABZmIcIxKMwC/mYZmQYcIi7KmgmoThwgSSSAlxmAk3+i2FIXBEV1kBswARIy6jYx3LNCmrWQp8pIj9QzRob9F3iIgJJwRZDdwHnLhjETZoif1QQi6rSK8jIqVH1GK0OTEEYfnImHk6NxMeZCRyBfJMHIEhciGKptniEw9U71Ee+Qnh87ZcHoph3SA0j4idw4IKZOze7TOBhkKSEf5EBwdQLoI2IGUdd0RLIeUy8ERL+J2cDD+R47koU1yDv9oImIgV+3qPkhTWeiN9JPINgdA1Q1hK6/2kafm6LPM2k55pY0yD6+e8vjIXU9Dz0Q6DqGrOxLWVsqbnxOFgSFiICi5Il0OczfNA0TIiNh0Nl0TuUPdJoIsDA+ES16cmwjGwIl8IkXXNafEuqJ+0y31vwirnUQRM+JhfLp9jEi3ntH6ThTDOSL3vD8DnR0wLOkqKQNOwAAMY2VoRs+RMJJytOeAhwLDQ47KiAx0wRk7okMy7tUa4ZGfKFD3WUTskL/27NZ0gPuSmTLTS8/ISLkTPAO56ZW4P+eYz0hyzWvdL3Oq2V2XniAbwUhreYeC9lM+90VI2omdOaRH/E/O7q/O6ua+2tDhWt8pL/3grJE1h5uOq1s4l1MQdHmmHpUyaBPft5YVKZMHudAvuWz6TN/oqly58pK7+yozZ0g+6oTYyVa5ybsbWY0XBoqIKS+vRjlFHbwh8hU1yBOJUCjlaBp+OoPxMFgRmkPkwHgZF6VHKJSUEVBo5yKjdifnfwrO8BA443C4p2u0ifsxSkbhGT5nB0lo6uB+jJLxel52K9WDwY7GwOgYo0wSz8Oz2uvtO3VKQuqW+EaLrKty6Amo22TScWVRJm1MftpEOckRaY61rOrtHuo+lFxTNto5dau13YaSle9do5zasJ8kDANFxECoGluj6/qIXDISYQztxlIYGmRJXg6K6NN3ebR+n4fvO6H1HNe0Xtd6z9ZjdtF6r3zuUM/rFp2uzaMTujmnF5io54wV7eVrPWYH3dyj9VmdjqHQzTkThYEj4gSD4215Q8dkixIKhUKhWwwsEUOrRysSLhQKg4qBJuJCoVCYCigiLhQKhT5j3IhY3taIp5HJzN8aZPO/0Xkj7KYx+W2skCf2HCOfRviN0udcTc/zu5FT3+XUl0KhUJhs6DkRI0CEhxRNMzOv0fQlA2umFZljaM6nZZTmaSJQv40WnmPaiRVaJrlbJWOZrsnZplAhYySd80GtOTf5nDMoFAqFyYSeEzESRrZW9pjMb1K4qFQUbKK9xQE257Bk0fJCy19NAh/NYJtzzRlEuJ5jJY/VRBZ62IvUEkxOwAIQjsDyVy89tC6dgygyLhQKkwk9JWIRqAUAVmPl0kH/SwtYwWKJpmWFltVaEy+CtbsUknRetwRpvqj9BhCr5Y/uYQUUorfIw/p8zzfBXzTu2cqEqHOXqrFE4YVCoTAe6BkRI0dpBvt+2ojDslkbs4iGrcqymYgdqUSslh+KTG0qYy8CewSInjO3OxKQqMUcltLaRMYa+3zrrKW4tiB0X/eXDkHalqmKwl1juahouVAoFCYDekbEljUiOEuNbf5iL1bLTg3OWddtNyibc9icBIlKLSBj0asdk2wog7QR+nDI3LBnWd5s2z2b04CIWi7Ylo22YpQGsTzXs2zkYh8Ev9mTwPcjPatQKBQmAj0jYlGvaNQ+tPYwtVEHEjYzAinbwclWi1IGBs3MaBCtilLtUWsrP3ubIs3homJkK90g8rbLEiKWdgDEKjKWg/ZKHg7B0mfErXz2VbUnKWeByJWvUCgU+o2eEbE0hKgXARosQ3wIVVSMoO0PavtKe6XK0SJi087s22qrRSkGuy0hR78NBXlouV/7jNqaERFLe4Dr3Nvgndef2ArPYKFo3VQ6OWTbCdpc3jWm0BUKhUK/0TMitv2c3Kx3VSFeBAzyxiJWm4uLlpG0iDaJ2MCd1IRNp/PVMcOlDOSRbdXnVTM2hLbnrQ3LwT3liRGxctif1FZ3SFgkbWs+LylE/FIktvUrFAqFfqNnRGwGg1SBV2mb04sQQRrCmwLslp9ELCWBNOWERbbyuUjTWxDMsBiJiO0nagaGlIaNo72ZAJKIbfzspYrIvTUFYZqctISo3Qba0ieFQqHQb/SMiM16QLTezOD9UknEPuVmRaEObx0wiwFpImQbiCNihJp5Zb8NBfOU5ZJtOr755ptH7tnzwHVSE2ZmLLXUUpEPNlAoNQGI2GtRvFbFGxVEy4VCodBv9IyIDZ4hYgSYrzEHaQgr2+SADdbJCcvNIk2/iV7XX3/9mMKGKA2sDUfEomWRtF34pULke0XZ+ZvctBkYcsSiXws63BOkNLzOhrNAyOYXFwqFQr/RMyI2Nxgpen2RaFVKAkS4BvIsvDCwhniRo5ytaFnOVo7Y3GME63uE6kDInWZQmFlh9R5S9a4qc4Od61rT1JCsVIcVdXLVuXjDc0XCXoro3WJe71MoFAr9Rs+IWHRpupho03xdy48RIHK06Y4BNVGvecPeK2ZBhTdrmFtsdoPUhkE1081E1PLK3kWGnNsj5Ix8RcLSD179nbMj5Ke9OsniEYNzGWEjb2U091iKxDQ6ueZCoVDoN3pGxKaUWbIs3yu6lX/N1WvyumYoWGDh7al+t6jC/hCI2QZAiNv7prwA0KvDEayZDdIV7cuRRclIV07ZoB3SdS9T0kyhMxAnbyz1gbTBfGar60xf89ZdLyX0e6FQKPQbPSNikav0hIUZXmlu74dMT4hIRbvmCYt07TchfSCXayAP2SJrh816/C7NIcdrsM337XBPU92QsXsaoHM/09rsJ2HVnusytcFRiLST+O1tkSRdKBQK/UTPiFgKAvlJF4hozSW2lDnJDnFKExjEM2iGlJ1v5kSupkvCFrmecsopMbAnvTDUBj3u7Z6iXSvqLFs2bxlBI2H3A2VD2CJ29xV1O6dQKBQmA3pGxIAU5V1t+GNHNSvZTFVLIFukaHWcNIS/kWVGrZn7FSVfcMEFsXubqHq4yDUJ3L0czm29J4h+5aXd0wwOzmAoci8UCoWJRk+JGAEiWFEswnNILYhYMzqFJM92+E6KQ7Rs8E06wf1aSXU0QMocgUE6aRMLRnIToLHes1AoFHqNnhIxIDhT1qQlpAOQMjIcLqpNuFZKQdrAIcLu5rqh4FrT10xpMxtD2qLbrTYLhUJhotBzIk6Y1SASdsxOVDs7SKdgdoQZHJ0G/QqFQqHfGDciLhQKhUJ3KCIuFAqFPqOIuFAoFPqMIuJCoVDoM4qIC4VCoc8oIi4UCoU+o4i4UCgU+owi4kKhUOgziogLhUKhzygiLhQKhT6jiLhQKBT6jCLiQqFQ6DOKiAuFwqSA3RL/8Ic/xIZhI20SZk9z59lNcSqgiHgaw9tQ7I5H+W2qP95gXDbkZzxj3ZifAXoZrbe72Fva7nqj3SrVvtfu4/C3utsh0NtiGPfsbL3aDve3nas9sD3H9q7eUGObWG8x9/1EwfPJPnchVDbye+ihh5o777wz9g5XJjsVkg05aCfy9goz533729+OPcN9ny936ATPsOuh16A98MADsSXuD37wg7jWvXO7W++q9JJgL4HwjHzDjnsrXyuUR/u4xt7i9913X5Qn9ckneTrUw5t4vBBi1qxZUQfnaAvPznvTSf8rk+t8sgsHOdAJW+l6A5DzPCP1JuE7duQ8ZW8vdzcYkYjdlLCzoKN9SBofARCuvwu9hzZCqBSZElKkkQjFBvwM4J577om3llC0kSKRTvBsb0FhdIwESTp813owRPtT2/QfEeXLZUcDBuXFtF4O683gXh7AELpFGjM5KatyPP74481dd93V3Hrrrc1Xv/rVZ422Ff5XT4fn+ewkK/en50iITD2LMasr0mPQ5513Xrz0luz9zzaGul8r2F6ShfM9q/X/9ut957necqM91EtZ8nnKQwbe9ehdk6eeemrIQpkQivv6RNBeW3bsscfGW9K9hcc91I+eOa9dXuqNJLXTzJkz4xVlXoFGDzyXDP3t3ZbvfOc7m1133TVes8a5uqfntusv/VQX1xx33HHxwuCbb7752WDCp/r6m257ibB3X55++unPltkbgJLsyc49PU9dPJs+KRcbQqzqcMcdd0TZEDry5zg4DS9Ettc5wr/++utDH+mm+o2WJ0ckYgXlxTSkQqqsgqew8lB5Qmg9nONalWeADhXutpDO83wCJLSRiKUVrQ6AUjgYSCelzef4nRAd/qYs7jFaoY4G7q1uypdy9XyfZNgq2/w9v3ekrCkoBfGuQErx9a9/Pc7tBHUng3POOafZbbfdmqOOOqp58MEH4zmjkXHCc0477bRQ/A984APN+eefHy9oRTith+cx5je/+c3xRm/KPFrQQW8AP+yww+LdiIyAjpGjsju0pUMd/e83h7ZUR/cQUXmZ7Pve9754s/cOO+zQ7LHHHvFeQ7L42c9+FnJNfWC8ZJzG6Xf1Tl3Kg765/913391cd911Ef0iP2VkOz/96U+bHXfcsVlxxRXjbeLeYpPk0y5790sdVhbXp/NQHsSKNJCM/5PwHe6nvIiBTiBSkWk6GfrtuSLhbbbZpllhhRWiPOTifs5TZs5TVHnAAQeEjLSzlyx4ht+URZnIRXkTZIYMvcx3iy22iBcKX3vttfFMbaMMrqMr22+/fbPWWmuFTpAPmTon75eyZSd+9yq2ffbZpznooIOibr5zX7JQZ21D/sh9jTXWCML2LPIjj9tuu615+OGH4zp1dCBVLx3maJxDlpypSJ6DWmeddZq99tordGT//fcPHfaSY2+l9/0mm2zSbL311lFf5VDW0WBEItZgCqnC3oDMkLzm/uSTTw5Plwcj9CZllT7++OObE044IYzSwXsdfvjh8ap7UQcC6QYam4dGLEhGY3cL5WYEvKeGQwQMT+TD4yNk0OgagtJQlLPOOiuU1puheXBR3lgJaiQgB89mIJdccklEDWSrDBSerMnW26z97TvePeWJQEUzZEzezkNQyIXxUM52UGh1p5gUmfJoS+TC4JVptFCHAw88MKKPY445JqIgsvvsZz8byq3NHd5FqLzI3yfCGy20B/l41i677PJslIU4HAwRwdMbhCKyyd9EL4yQrMmQoa6//vrNhhtuGH+//e1vD11BxuRJn88+++w4GCP5n3jiiSE3shcBkSO5pRNHgOyF/iAfz2HMZESP6CTSeeUrXxlRaJbfb3QxoZ3cT/DiOXSDbI8++ugwfiSg3ZWH7YkqfafMvtOm/kauZLXTTjs1Z555ZuhEkhp7+tjHPtasvfbaQSR+F/WRE9mRNUfHHjbeeOOQFT1E1k899VSUna0rFxttLT+iVXa/IXDn3X777UGS6iXIEWnTA/fVll5p5rck3gTZZjDFdr17cuedd2723XffsGmBnrQJEuXstZW2JOdXv/rV4WhOOumk6IUceeSR0dbaT93VE+EiZr/TY/Kkm/RINEyuiy22WPDXZZddFjzx6U9/OnTJQS/UEVlrBzrRcyKmWBQJwW6wwQZRKKR81VVXBWnwZquvvnqz3XbbxW9eGqqwFJGQRC8aktAIm6KLiocDgVOCG264ISrGcBmfxu8GyswQXeO1/Yccckiz9957N7vvvns4E2Xj1TkEr3GibBTdoZGvvvrqOAehqY+uNGXoNZCesmpwXSyKhMREUp7L6yJKjSxa8BslYGhk7nuGTqbaw6HsyI+SZ9eRslFUzsbfomVto+3IRJ3VkcwpkYjOJ9LwvdQFxUQYnSB6EKEwVtElhVYXz2jVA4budxESXXHv0ULZOFVlX3fddaPNyATpIwMy0G4Ig1wQC8IRMZKzriXnrCzuIWIiA7rCqESoDFnUuu2224ZsOBBkSLbsQD1XW221aAf3F2khUjqCYERansGonatbq0eJjMlS9JnXsy3kxGHQ+yQzRNQaXZOn+igP+bIpcuA0OF9kw06Qhd5Iytz5HIlz1Y1Dond5bw4HYXHs3usoKECYZCF1wpbZz3LLLReEieDIm6NXHk5Bz8R56qf89Mw9ODxOgBwFFMqNO9ybbiHyN77xjc3rXve6aAt6r66I3vWegyzpHrIlX/bqWdpnyy23DH5wH2V3PrtRX7JV3te+9rVxb47JoaycE73xDI6b3PEBGZHh5ptvHvcgQzbHoS2++OIhV3bETjg0ZUHi7oPgN9tssyiPnkLPiVhUylsoDMUnfHk0BRflEMbSSy8dlRWtpUH4TRRL0RRUgxEeQhmJiD3TMygRstFQoj336gaU/lOf+lQIhVGKHCiQbgXD4BQ0sMgFuXsOL0lRGKrvKAPhMibGzZjHEi0OB8amC6YxNSySRIAakvJRHHKlHKIFvzkQg64t8mOgGf0xLGRJad0TCSs3RSUD5MOAHCIEchBhIQrtpZvqEAVQbIROsZE9cmIknYCIOTqRFcNDgpTaQaE9l9P2vciMQxcpcRbdgNwpNpJTT2VyH85IRKV7i/AZKP3S5tre8xElgkCWoinXI2QyUH9l0c4cIQNzPrmLkjkMdUYaZEtfELLvl1pqqYic6AuDFMmJAvWcyAOh0TmkS37qSi/Jmj6TE2L3nbZSvrxHAqmxBe2p3HotysCBKSed8By2qUwibHJgO+riUHaH6zkjvSFl5DjcR3DEKXAw9J5sECUbVlcRpq738ssvH1Go6I9tIVTyJXtyZ+Pqocw4gl4hdzaH/MiKw5DiIA/P4CjosEhSgKRdyYROczSuFeAhQOVCmurE+fieE/Wp/p7pOvWnAxyMtn3Na14TTopO0BW9FNG5OmSKJZ2nMrELwQL9zICC7Sy55JJhd1Ix9Ikckw+0AwfoOQIMbcquR4OuiVjhMT6jVhAGzng32mijaEgC1jAESYi8Ce9BiSgQD4VQCJXSDQeCESUggj333DO8ka6EcnQDXSuKQkmQiut8KhfvrLwahZFRZErCeyo/osuGEZHyjgzT95SstcvUKzA+XjnzvgyS8VAoMqMY2aVDrpSeElJefzMwhkWuSEC0w9iQF4Jn/IhL9EFhGZlPUaBPSsmBUkTti5T873s5L8YiKmKYneCZSI2jVl5Kr51FRNqAMVNqxsG4Nt1001BcZEKh1YvMyZdyt8qZQqtbDp6I5rUTAmFoSF456aIDwWYwwJmqv2eQr3Iy5ozG6CzHTI7qxvlxQBl0kBmnmPlK7cToOO0ZM2aEsbpGm5G5w3MQs/M4L/bBOKXE9Lzo8aKLLhoOnn5zDtrNNQIU9VRO8mjXNW0qKkR4DrbpfDJASKJOwU9rfrUTyNd1Il6R7rLLLhtBFFsln3vvvTdIhw1pN+1PHhwW8iRbuoOU1Yt9Z8Sq/ThB9Ubg9EfQgzzpnxQIp428yQdJI23n6AFrQ3rIga+yyipBpPRJT4JMs5fMLlddddXQAQ4IudNzRKxs2kaZF1lkkdA3gZyD3JEtHeF4yDrlyFnRGbrrGRwDGQkiEDE9wwPOb5UxPcYhiFiwMS5EzPCTiHldgldoD6dghKEADEuBCXarrbaKCFj3TCSRRMwIGSci7wYqjTBFfxqrWyLmNZVT9KD8FJiRiKgzSkEsyoegdVXUQ4NzHhoHuakLxUHEDJICjwfIQ1k5BYqga4cQyJfzEz35DQmJfsmQTCggh8f4EAIlVm9eG7khIOVG6O5DCRGV3J1niJxEGu7roJh+y/89i2MlH4euHyQpIXoHAsmUg4iDIejSUVzXiCrSMWpHRMZQGJzyicyUGaG5nzZLUka+yuocZWWQjJtM9BY8Q92VlaGSn7+1nzZ3D+VFkMhCnckJeUn7aHe9LoYkKkQuIrc111wzIkAOWV3T6JRBKgN5sQll8xxtSNcFAcqq/cid3JAZXWPYHOhLX/rScALIh06nvNUNQXCu6fgT6uE5vlcGn+TluQhNz1Qd1D2hzI6UQUJ99JyU5+Uvf3mQDNvlDDgAZScHDgkhGZzilLSZNkSS6kWftCGn0ArOJtMd9FZZ1c39yFzbKbP7ea76cgCckk/8Io2iDTgt7cJxcpZSjXrW6623XpAwh4xg8YSggp4hfYToHETO2TpHIICnkDYd1Sbai17QF7qmrJ7letyQM0YEg5wQ2QuKyIqeahM2hys4B9dx/uNCxBSLMBAuRWesPBoPidBEFISMOJCwAjlfBKCCYyViio0cecbREDEF1aBpiEARGT0j1kCiXQJnxBRipZVWenbginI5GKhIjwK0K1svwYPKj2lEUQ1F1x1CWJwGz05xyFw0SN4GDxARpRJxKre2cD1jplyImAwRgnPJEuEjJcSHZCgUx6N+FJESkR2v7zxtSMndVxnJkbG6XnswNEbDuDgtPRjGK+og6zz8r34IiFEjbN+pF+NSRnqW5JK9BPqGyERsnAIi0HZ6NuqEUBEa4meA7uU5up1JZHSAHouERXuM1T20uciWziJf3yk7ghmOiOmxdpFnpNvK6d4iRe2jrIiGvBGAvxEOZ7XAAgvEgUC0sfogRIdniz61r8iP/ibURVuRgetErEgDKfifE2wnYmTAIWtLupB18DeH5Hn0SF0Qr3s5F6FpR/VHqnRL+ZWVjNkLLuDEnEtGrXANknReRp0IT1uzKcTInrUTnWKXej2ezRELnNillAWHR7/10pRBdCsl5VAGAR/dYQfshhy1gTKLyqWB9BY4Tb8jVc/WxupPztqODfrkMDxP2ciIHpEvh0VntS0Ok640YMfWtK964RXlYD+jDdpGJGINySswGgrL6HgA4TuC4jUYqoZDZPKEhOM8JEy4GoMguk1NJDQQApdKQATdEjEhUMIkYdC4ImUOQsMwIhGUyIAyKL/G1dC6UDwcY1Fe5ae84wUGRckZOJJCPBRJ5CXyRcSUQ+MjHl07nl5ETDkpH28vUlAPEShCpdQUzO/uS6F0vxCdSFq0yuEgW4RKqRi6CIVcEAGZawM9CXIiU0ZDYXUDGSZFdH/trzuK0JCCaxz+dvieY6O0ZIuUEaB6c+J0idEqt+cgHs+gN86nQwhDeRiR6IZhkB25iNKSWKSdEGiCTnBOggjdTeXRLV9mmWWiPAyInJC0MiMBRM9xifjprINjQFDaRRsxVPIQ0ZK7cqTz8TuZKyMHgZzmm2++sBH/a1NGrUvtEEEyZg4NubC9BH3WpupMR5G8Z9JpMmGbOeCmvA5l17bsVeTOybmPT/IR6SJF5aJH2txvdF4dOVeERCfUjc6QkXYgM/ITJXLggOi1nXKQHx7Qw0RMeqP0RJAmsKILSFyb0zG2qH6cPOhx03u2T0bKgDzl5uWrfU/nyAEPKSenRy/8TZ/YgjbkAP2GgOmb/9k43uI82beARRm0P65hg3RFcMChzD///FFu9eL0cjCXjJSDDH2vrQ2I4pvRoKuImBARmO4tYzRAocE1HLJUcYMblFOXhBISJCLWCARNgRSagul6dAP3R5iiE4rbLRF3gnooE6GKOHRpNTxHwVvzlJRSN41x6kJSJApLsKP1cKMBchQtJDkxdt1nyiN3zXEYRGN4yJKiGyBlPAiRXESFiJmy6nKRO6PQ3aPwFIfSMk7tkgqp7RgeA0NO7oE8RCRk007EjE0EKDKkAyIKDoLyihh8ctrK5jpG637IgiGSvzIyBH8rm2e7D4NA/hm5KacoBvGIfpCcXoxUjIMekos2YlCMe8455wyjQbatRAxIhmNCTMqprV/1qleFziq7+6ujMichCijIWCTt0CthcJmaEIGSEzkzWnNQWw/ldA+yZ8QLLbRQkIQIz/nkmAdd90y2ZACZnBMIlK2po0iUPdFbRIw0lIl9kbvnOZTVc50rSiRfToNukA874LzIlv5zVOzEdcgFaWbPJdvSvbQf+bATbc9hAudJFnRLGTlYjpTckKWyk4GDPmg3bYhk/U/OuIGtsVXPcCBi8uDkkSGC1mYCFXzCyegRCUYQsbJqS/JUf+V36MErE0J2HV0idzzDBgUldJWDEqSwFW3kPjP+t+eUqRJOgLwzSMoxFPZKHlmH0aCriBgRKyAlIVANmt6TxxM9IgwF5RkYtAZQUYbCyDQCL8qwKEI3QJQUS8OpZCsRZ95XwytHHhSptRsGhCLqJFyEIhLR7cg8qq6V3zICFVWZ9oLwDKhkdNl6z14iiZii8dIiVl1/CoCEfE8hpA+0BUNWTl0jZRdFIk4KxmGJMkRvyqzsiE60SkkpLdLwPyXXLgxB/dUXCTBOUTHZMggGSP5ICsiTnBkg46WwyIABcl7KrT5IPlMFDJ0xMRbzcJGA/0Ui9EEdMhpKiLRE3PKfohsORn20u3ZTBk5S9Meg6Ohcc83VzD333NFu7UTs/uTlNw5n4YUXjnwtQlZvBkg3OAj/0zvRNqPNQ/vQcUTMyMnTfR2IM9MYDsSkDciHTJCH60SW2tf52WvzqR2QKcerPVpTE4iYE9EOno9s6I36sCm2iRQ4cg5Pe9ATslYvqUNOgby0GXJEzggK6bqH3wy4KZ9y0D1yQr7Zu6FjvvOsTkSsTRCetI8yKS+ZCuT0bAQ4goJMCdBrv3ue9vM/vePEcIr0gkBBmcibfgkg3JtO+J5diF7VgT4rp7ZSP4Tse/LnQNRJ++Il5VZf9cYHCJ/uk5ceItlyfoIiz/U8vQA8Jv2ibHoOdJstOk8PhN5qr9FgRCLO6EfjiogN9mhIhRTKI8rsOhIQIYsshe0qhJQJgWfVTegFEWeDZ9cLaeRBgK5Lj8QgGLkIAQk4KKTIwH18agTP0VAUOQVO0ZCTaxHbaLsb3SKJ2HORJflIBzEAdecgyE2kLJJiDBQdwTqPU2RYlIUiKi8lSyKmyBSXgXCcScQUivEjfu3MeXoW8iRH1zMIRiyCTCJuh7Zg0LrcDE1uW8RLD8hRHaRTlNtvzhOFqbO2STJqBwMTMSsn46d7IkCK3nrIbdIN6YXnP//5zTzzzBNyaidiuuB6RsogkTCHq8yMiuGTITmJeBwcAUNDbA5ErDyuR9IcSd7b8xigTwdy5uxFfvRKLyYje0Sg3ZCt+jtXJMqw2ZOej+8SScRIhh2yKf8LPpRDeZAjudNl33F0DmkPbUfPtTWdZ796WPTKM322EjFd1GYiVdGzg0z1PNwbYUkRtBJxgowEZalz7sHu6BYZk4VImG6qg7KRP0dFBvSTjQoUkoj9r/dBf7WHNhDdSo3QIe2q/d1j5ZVXjggVWbIHh2e6nzZXN45Audm0CJa8na99nO9+nL22IWMBibqQsd/pEF0WfJANeSoHbiTHcSVigmW4hKIrQOCEzPNSEF6P4TBcyqRSDIiANFyviJiS86YaV0PJG4lqfDJ+iqTcjIMwkYryi8yQFOIgYL+JTCiqKIRHdq6o073d06FuGfm4Z6+BiMmFoupdeD6FFzVmSoHsdYHIkYGQrShCnT7x5wUHrh2KiMmF0qhfEjHnqT0zB4rYfZdETJk4W+3KoY5ExIwAySofQ1BmEaDvRPXInBH4Xl0R/1AkDNqZnsl/IhrlkIJByO0HQlB/A2FSE52IWHvrLTAoZZBLNi6gbJweJ5hRlP+RncE4KQC9QMTFGSoDghMEMDo6kb0ERot8HQxcekWqjmw8SyTreYIWtqLtlct58osCGLIZiojZgbIrm3ZMIkZMdMN12hPZiiyViS0gfPrgPspKNnSEc+kUESsH0lFW9qtXpI3lvTkrpGYgrBMRO9f15El/OFS5dHL1LDqmzXKwUYqLbmsP5yBBcm4lYkEXouO81JdduIbuqxM7Zgucqt4MQqcDbMEh9yvQ4niVn35rI3LhKAWKghvXu492IX+yImM2ib+0IVvQdjguiVhAoB05Ose4EDFPquEpk0KqFKOkiBRVbgUpE4zzRKYqJ+eTgwXIGnHohnRLxBQP0efgBm+YSq9BCINQRd68owN5aQAKRZCcCONyH15Qw1NCnpDiiUzS0/GuPJsGYnSELCp2X42ZUXSvkcpF6RmTLg4DocgMhAzJVpRBWSkh54E4ldE15EAxkFE7Ebs34+XxObMkYjlAxiWa9gxt6DtkTlFd7/xuiJgTE4nI4amHnoTITRToO2VDIhwzUkU29Gg4IBLnKCtHogz0RxeydZDLIboWDS644ILxTISr/NqLzmhvhIpAOQR6rCxZX46PsTFAaR6yJS/6JHpDDqIiBEK+HDPjo2P0iQwQDr1jhL5HiK5FPkgFubMJQQGjprccofbIVJSAgPw8x70S7klP2AFdpc+IiYzoNyKmx+qdjsBBBkAG7kGHMwp3vWsRI7m2ErEo2T3phPEUtqNMiE859RZmzJjRkYiVUdurLyL2TKTrWaJI9qScOYbkHMSJ8JGyc5Ebu0eqiJj8yZh9+p9M2YSy4YMkYrrG+Ws3ZaeX9Jds3It+sBH6jmCRJlvPQFP+VznoAVkoO7njMz0Atkc+bNTAs+dkRKwt3DN1YjRcMarBOrkpBsA4RaQqQfl4K8augkJ2v2WBFC6nrzFG52nwbkAAiIIXYtgII43LfUUpus68J7J3ELDrPJ+AlYfSyuFoLGUiYEakHpSDcCm3qDIjHErMONWZA/E3xR0PIpaHIheRJDIhY3ksXTDOR2RF4ZWTQSMkMtctpnyUHklTIsTMEYpweWjnIClKhgg5piRidRa5+t2zPJ+z1Y5JxEnQegVytJ2gLSivNIReCXJDtMokAuHMfIf4RPLKiXDUczggMucoF0fDETAI7a1XJp+Yh/IiNXqCaOmFtqS/CEh7IxG6QNZIhTzIVO9Ht1fQ4XxEjEQ4FvURldMd+oL0RbicvTag/65jC0iF3tEv8td22WtTLiSMfDwbEXMu7IKDQEbalZNiJ3TRPZAMaAttqW3oAOKgF4hCFCkCVW9yca62T0IAOu1vZUsbUnaOHjGSieepC5kjYr0XUTpyzAMh66V6nvYmU3bRCg5Me6sbfdMOPgUXSJ+Oqy9Z0R3BAsemDRAuWZM5+a+//vpBfHRWuZVRT0r5kojVyzX0FBG7TvvhDuVXXrLlPExDE+BI6ZEPp6T82sT9yDaJmCw4Gfwn6LM4RDtmGtT57A0RS0m4F/nSBe2sbbrFiETsZhRTREu4GZVqaMrNKEQIGlRlfRJyKpHCjXUeMeG6pwbXeJ6DIEdCRvGMTsMTPCNFKsqWA4iiLR6T4iNcDU6A6kegohmGKr8k6ieL8SBijS4ioVwIiiJwfBqYIlBWRIOMyENZ1FE5RfGMWgrFlDaDMxwS5aJonCLiQNZSRtoiidjhfqI/DolS5cIA0Z82ZnwiRkaOfDpB+ZQX4TAc7YzgRSCiJoSMmBmoaM/3oi3G7xnq0QkcrTbhJJSDw9JLYrhIiGFqJ4RNF0UlyBKJGSimq6IrhIPsGLA2R4iIWp3InLE6L/OF5IEkzaggW+1AZtrJNC76Qs7u5b4IhV5qK3L3vMy/cjzSEAhLObUJ2eZ4CnJST/WjZ/QwdV1ZkkjV1fOdo2xkksTvb8+h563ziBPkyxbJOvXXJxuVatBe6pxOxd/KRhfl9ZVRFIz82QtnoK115UWG2gA8R/1EiRwKYsQPyoToRMrKiczIjcycz67ILR0m2dENTpCOSrcoK3iWgUyRdSsR02vBQqYX1IuDEojJ87MpzzZrha4ifFBmsiV/cif/JGLlI2N1pM8CCLqCDwUlonJ1YRd4Q/ldo76IOp/RDUYkYqQpEmVEIiiFyEb0PeOmlBpO1KXxGD6DIGBELHIQGYyGiAmX1xL+20FJVKRBKMtwZOg3z0PCGgVBaRhOhBd3IAJlcY5GpWAUh7LxfsrHqCm4qEB95LiGI43ZgUYXlSpDDhBqfErgmdIp2aUWmScJA2dBscjdtQyVo6HYZM/IGQ8lVA9kpm4UWZuIoLQTMmX8ZCDqU1/XUzj3zJRPOxg4AmK8IkzPQjrOpTPKJf+mO0k5Eavz5OvIX++FArfKNY2Ds9STodAMUF3UjaNhrIhKlKiMGaGSGYIUOCAQBsZIGT7nrF7+1jVWLnrLuPIZIjcGKbKSOnANedN3MqUfCABJME6ETyeVGZEjFo5Cuemu+pMHh0hO6uVZyoYoBAeMWLSv5yUfTi4iLDaQcqEH7sGh0WVdeeXSdpw4hyEKTCJ2HVtwkC/Cpkeu8Z12Q3qu4YySiMmA/JRFT5TNc+IIynPpEUeQDlb51UlZ1Z/86YuolGwFYMqnh4dUXUOXzHJQJrZGtuTm2RwenUbi7F5KAefoqcBQREwfpOi0i9QUu+X0tZF25vj9Nu+888aYS5IkWYjY1VlbqbPfWx24dtJTlPvmxOmQMuAR5cNL9NB92DJZskn16BYjErHCMCBka9CMUDSyyhMkwYkueDCCSY+EWBRKw1NuDUF43RIxo0KEGn2JJZaISmscXdOhIlPfMRZRC8VETK71KW8kx5MDNLwzoVL47EKqo4ZDFAxZBIpAdH09k6KNB5KIKa5oC0kwEspJVpRMORi9iDC7q4BAKYvfdb3UoRMRc0CI2PXqgijcN+vl0J7kgeAovOspOqWmzO1E7BoKKOoQJSEuBCuCJkOOhcwZn7pxpspBP+gJxRetIGNEk2DYdEobcJKcurJpJ6TJuJXLdaJL9VNvURBZcjTa0/0ZPZ2hT2RKXgyGA9LWykUu9FqvQ6pHQOE6hE8O6knfyR3JMkw6hKCUB9HTPbJUHnpLXhwqJ6E8ZIkQ3QMhMnSfyDl7jDk/VS+n3TmRjzqQn9yp9qYb5J9lFhEiYteJzNTVp/bkQBAGW6QbiE37i8yRq/slEXOWbFn5pcTIXb3YAd3SZhyCKZRszb3poDJzKohYGX3qaRncJCd6pOvP0blG+TyPHLQx4uI4RaTmIYte9SqQZurHcESszTxXnUTiDqRJ1toSUUuV0ZckYm1LH7JnqXzaD69xMgJNJE5X3EP9HJ6r9yfdpn7kLnAkOw5Y75Idd4uuiDi7TUhMI4iEkZhGMSdTYxC0ihKEKJRRalwRXJIMj9gtERME4nEPjSFH438CRFCtSprwHYXXyLqhPLFrfeah/O7JuTAQRs8jy1H5TvRC+RiQOjISiquxOz2zF0giptzIH1kqFyVRV8ZKoZAkRVSO9OS+1z7yYbqLrUTsWvISYVEyhEOuDEbdGYJnJJJwXCtiofCIVTSk/ZOIkUkSGnKgiMpPB/JI8kcu0h2MOucjiyIYDcLmXCk7BXYvuoEQdYlFNIyCM9GuIkJ1oWdIl/JLNSFG+sVgRJbu4ZOx0kfPYCS+V3aEiegZF50kc4EE8tYGCM31eg/p8MmcPMmPziNMDkY6AIkjE9+LhNSHjjFk37vOfdzD890XsdFnKTMkjNQ5KHXzPfkyeLZG7rr2ysiB2fcAmZGZ54hozWAQTWtjTlaOVbvQZXqvjmQk7UQ/6Dy9Q2aiXu2iF6YOghQBkKiYTNxDBM6mtDOnq+5SN+xcW7qevSS5awu5WfWkg0iRXnBQHCwb5SC0BYfK3nyvp6o89MbfmX9NJ8YWlEXZ/C6S5aQ5GDrGBrSJe6uf7zld16i/KJvuSHtmu9ItuoSM6S2OwDf0AKGyLU6C/ikvTtR7VEfETf7sRL3pujYSdJAle+0GIxIxo9RwlBYRC9uRFUXlFSiSBhKOEzwD4hEIgwKokMakJJRXF5sBjwSKiJAIjEB5fg3i+zSOTkAmykzZXdfp4CFFR0lqGtjfrvNMisPgGC4j8rvzxgvKRMERD2VUDs9zqCtyzIgq6+6TMSEtcs7eCENmEJRTFJERK1JCaozbfVvv1Q7Rki555jgZJQOm0K7JAS0RFrL2fJGrtEYe9IShaHPPRgS+Q4p6R/SDwTPizLUhAqSrnLrBnIp8rzKTAVJDRlIejImRMWLGqt7KSg/pCMfq/siNExHNKbe6kw2CYzgMyTgCo1NHRCoHr00YXSvIk4G7FzJCBrr27AB5khcbIBOE5Hnk3Ko79FOumNPnVBCZyEp0qQ2RAeevDnSYnQlefO/+IjDOQlm1q+/SaSENckHO+ZsUCPtTXuTASegh0B167jqkStaew161kf+1GWJns+5FR7WzZ4tus8eBG6TNtIN7kqEoHRGxJ3WRskDKAjPn+Z59kRG7Fj0iag6G3iB2cnU/15MbWdIB9aNTZMfhaCftrf70jQwywBKpex7dk17QM6av9CZBp5WF3MlG+3HuSJk8lNsz3A8f6OVrX7JAwMqrTXzq0ZKzthXls9tuMCIREwLFY1wUVsEoMaNEAjwdb+FAAJRYA/hUKQJG3BqPoFSSRxkJyI8wKb8GcDDGocijFdlowx2d7pUElc9sNaDxBKXk2SkzBdCdHAnKRj4UkAfX+KmEvDtlUQcGINpgXNoByY8EskF+iBHRIE0KT3nJzD3ck7FTasTJiJCQI/OflB/pMkpKTTkpL+N2KCuSoBuiZVGG+riecTM4/5OH5zIEhIdsERSj5EA5VsGAe3AOvkN2emoI3jNE22kUdFpE7Lk5Dcq1cuN0XdSVDrgV9Mq9pScEIIhJWcjGs0SgbAOJe0YnaDf6lZG8dkPEoirdeA7QtcqKoNiZQIh9sSf1Ex2Tg66yw9++EzkjeOfpJWk/32krpMapsVHtiHj0epAtAtFW7qENnI8w837uhcwcbNtvWWf3pVeu5Rjdl827j/urg/ZTZ/UiW4FYBhZ0mGNEuOoqmndPvJLBUgZC9NJ3fqdXdMh52kr7ameOQU8h7YP+65nQz2xr9aMfrdC2yqltpWLwF5krVzpw5XWe8uAwuqI9OEl64JMO+I4Nqqvzu8GIRKzybkhxNKSuMEEqSDeHc3WDVU4DiXg0SuEvICfyMTjFUEYjH4qvbTg4ZIRgyJyyIC8Kz/BEsJSKMnUD54n+RBQMKrvYFNIn8hMVdDqcT09c2+n3Tkc+Q9ldR8mVm/GmIZILwxIpMvDW8ujB0C0OxPmM0HeiEgbuvnQ568YQERYH6EBmysDohjMeMkUO7o1wEYDyIyHlYivahCMcDpyZ7nlGX0hNWZO4XK/MSVztdjXS4Rrtp555uBfSoxPqqauNRJGqoEqdWs/l+Bz+br1Pp8PzUnau8b86+s332qQTkuBEnNpf+3qedm8PlFL2Ild6TubO9UyfCFc7ct7g3vQA/6ifuiJJ9e7UPu5Dl5Qb4dMlZe8E9dFO6uo8ZfepvuSfDqRbjEjEKkOBCYaSeACBjObIQqug692z8BdQFo1HvoynWy8K5EtZKAGFY2hJOOB399d+SVzdwHnK4V4Of+e1PrUpA+p05DWOTr93OvIZypvXeYb/E1km33cqT96j9TuyIReG1/4bfZS64TQQaqaj3Gc4uE92VRGOw9++I2PHSM5UvdiEsiEUpI5MtJ8y+GQryuLc0R7K2H6kHiBif3uOCFAZ/E3mrecPd6/2I8/NuvlO2dXBs/K3TtAeziWPLMNQ5/vePdmL9nNNkqd2IEPtkHBvvzufjWhvf3tOJzjf8/1OZ5R9KDg369p6+M5vo8GIRAythRtOoMPBde2GVfg/kAlF1Og+R9uI2Tau93f79dl+01H25ILUOpEBfWRsDJMB+8wIfDiQJzJg8Ije33mkjncja+ckSXiuMiJwZXK412h1YSi4D91yX8/wbP/723N7+axEq96NdO88t5syuJ9yk3c6Fe3gU53a28/5vvN79gg8azi0ln0i0BURFwqDCobEAIcycr8ja4adpDSS8blPOk7XMnKH70ZruM5P8nBf/+f9uiGl0SCfNRIJDQLUIeXm726CxGy38ZDt7KKIuFAoFPqMIuJCoVDoM4qIC4VCoc8oIi4UCoU+o4i4UCgU+owi4kKhUOgziogLhUKhzygiLhQKhT6jiLhQKBT6jCLiQqFQ6DOKiAuFQqHPKCIuFAqFPqOIuFAoFPqMIuJCoVDoM4qIC4VCoc8oIi4UCoU+o4i4UCgU+owi4kKhUOgziogLhUKhzygiLhQKhb6iaf4/hpdm/hZHr3MAAAAASUVORK5CYII=" 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" alt="" width="324" />
判断两个矢量的终点是不是大致指向同一个方向,对于响应物体之间的碰撞来说,是一项很关键的技术。
当某个运动的物体和某个静止的物体发生碰撞时,如果我们需要让运动的物体被静止物体弹开,那么就必须确保这个运动的物体在碰撞之后朝着远离静止物体的方向运动。而不是朝静止物体的中心运动。通过计算两个向量的点积,我们可以精确地做到这一点。
根据计量单位来推导等式
动画的移动应该是以时间为基准的。因为一个物体的移动频率不应该随着动画的帧率而改变。
基于时间的运动对于多人游戏来说尤为重要:你肯定不希望使用高配置电脑的玩家比穷逼配置的玩家移动地更快吧?(但反过来想,部分动画场景确实可以根据频率来调整动画。这是后话了。)
为了实现基于时间的运动效果,我们采用“每秒移动的像素数”(pixels per second)作为计量移动速度的单位。因此,为了计算动画当前帧所移动的像素数,我们需要知道两个信息:
1、物体的移动速度是每秒多少个像素;
2、当前动画的帧率是每帧持续多少毫秒;
换句话说:给定一个物体,求出它每帧所要移动的像素数。为了求得该值,我们得推导出一个等式来。
等式的左端是每帧移动的像素数,
等式的右端要包含每秒移动的像素数(也就是物体的速度)与每帧持续的毫秒数(也就是当前帧率)
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" alt="" />
X 表示以“每帧持续毫秒数”为计量单位的动画帧速率。
Y 表示以“每秒移动的像素数”为计量单位的物体运动速度。
正如该不等式所述,毫秒和秒是不能直接相乘的。你需要先转化一下单位。
我们可以同时在等式的两端乘以或除以1。已知1秒等于1000毫秒。所以 “1秒 / 1000毫秒”等于1。
现在我们为等式的左右分别乘以这个 1 ,左侧可以省略(一个数乘以1或者除以1都不变),右侧乘以 “1秒 / 1000毫秒”。等式就变成这样:
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f7IFhwNdZV6kP2pylAzA1xMtkIjoteGcwkbr/99qUEQ8kxQTJzk0juE1gACgfwmZNvAhEgioNJ4hiApSZOghmg44wAzvdkSMNt6yYUWTPZmDoA49gmliPpPxAsZYbWkQk6LpmB7a3UgJw2PpPt8BekQjYDfEjNLj4BZDUGGPgLkECuERxEDADZtgzJcHeIOQdCsjUqKPUr+gZk/8oqJGx9dPXjCGL7sitkXxbm2DUE83d+rPwDjABnkCbHImPk1wCN6sZC9pe1UqQkBKME7rS1WU2ckGDYwDf7WiSMyLZEDwmGX+ZYmUayZk6p6ZI0PZ2CDL/ynWXtn68hzDBO6VC7Aj9V8k2bPTPvSC3F5aCDDio3F4gn4ox5jn4gWIZc9zU+wDeQFsq0WCqeSfYREkQJSYNXkjTkhchgOeo2nEHk4Q8FXaVHfIU3kQAichJX2+SzkUDGq+UpT2IpFUsfnsQQlqnewDPxVvy1voQQ+Vd+9rdrapTfPG6bG+LEiRAkoONiN6nqvyQ9n3Mw0rM+E5NuIDQHHnhgyaxMkBPOCTkJwoM9A5u6x0lAsT2TrqENgcJw7Rc54kjWO/HEEwtxsj9EzeRi0YbJFtzCwQCWv7uexZE2OXMRCzgyFz0hG2+8cbnllR/IuEY1pCkAwcWPxCAqAEggQpAAAuBRHuMv1CjECshRmizjvWNC7ENBQqICCJAn+6JqAUX+hviRzyMgAg5KkmMApnq3+Bc/pDggSUGckDAgxO8dDzLW1deXNhmriRPV0xyN6n9wg3/AIkR6u+22K6qiJBC+wD9YhpTDRJ/xHYHL3UrIPILEp6iQghNfpIg7vrTZNPOFFCMUW2+9dSHLCC8FyNzDIsuMor4gRxQjpJs/SvpUabQGwAVYgeAr93q1DFVK4kbthF0EBERGm4o2CESHKBDESWIAp6hTyJ1twkX+Bn/hoWtC/BSLDSoojBSjYRofRRJhrfWJEgafllRS6qdlc0GcOAXgUJMVYEyEQIUUmUBEx6RReAQSAUlZxMTrQ1Jek6EjMf5GdBAvJCcazsLsh8wo69cLIlvHkk20ddwSbruYL0kRG+cQ9suZSeTeR0O47RgcclQHT1ubIR/mAYEBDptuumkBH8RCCWzU+TCP/IjPXXzxxf9ukuRTVCyAEhc44qQMAhzisQcABkBZDtmiPkXfAEIjoNXGD4GErM6tye7KoibJNv0m+7AvTd+ODVFyLIAuFCfnQFBF/B2jgJoN4utrNXGCR/BkNcQdcUK6qOiSANvjy4KMbRp8zhwj+DCR/+jn5Hc+52MIFcJvef6c6uPsGnwSR1y/kqGtttqqkAwKNvJjPkeNKeIlzLBNfkFkQLgJBdQo34ltkjpJG0JzxBFHlBjI/5AhOIc4IXHIjpsT+FEQJ/gCk/igkp04yhf5qmOnUomjsFEigMTBNKQKyXe9+FsbjrhvGzEQP/EUtk3L5qpUR2IGOAiQ8pfJFLg4gu9MvGASJMekmiSfuztJj5EJwnLdpWCyrReT3TYTY9skRQCFXXNepT8AKGPjYJyPqkX2RKgEs5WecZE2WTOnfCVudzVf5gf52G+//cqFiVSNIvdSdGRWCDL1B3AgYPrmBCAZGxUImUZukGiESX8SmR1JUipTPqFMKakgOVHGrZs7+QvfpKI6XoHSc6kQIkDGz5B1Ph2ZHqIkQwOE1FC3rgMZARK48VMKqvMyTdBZNhsXcTKfAo+SxhWucIWyPT6NeEskZehK0zG//II/UpzgJeVCEJLBC4jaGSjjSZxm3yhL8GKLLbYoZTuqDJV5NQZXNGxLqCRwMEgVhy+IV8QExMjjVfirXjrJG8GC0iOe8h39muIsv3MssHRQnINNSnv89NBDDy0KFvVfewMhA0mCZ+I1QsWnxer4rw+2PUuYNTfEqTZAhLQgMbJ3k+aZOGRsk0jWpAwJbjJ0ZAq7pkQJOiZGZsYJBk0GB0B4TDjwEcCUOjgvpcBdTrYv++NUtitQOh6EjDImkJLHkS8kKsnT+hgSIRNz0ZmPaJ4158ob2267bZk75EVW1HdegA01kVwNMMjOiJlMXmYkE0OaBEmAwweRJUNpl98gVAKYY5NhUYgQrzaBp4bxc9tBvDbbbLNmxx13LJka4s6vKV98OIyS4DdZBijJ8mSlwAhYUbxkfZZLxWn9bBzEiY/ysbgD6cpXvnIpP0sCYZDMnWqJ3EeQQZyQdP4DE5Xy9HhKApFxAQvRGqWxOG06JsmDY0q0kjG4Jjlfi0XJlnouoaM0IeeIEeJEgIBheuTEO8vCOq0oYqi7lRHyUJsGGd/l7/zPNvkrwq8K4G/kCXmDT/EesSeK8E/7hGWRIM5CHJ1b4gSIMG/BA0mRSQtaym/6mQCUiZVtCZbeczgTDkyG3boJdHwfcrdAg5iZQNkaKZEj6bGybc4jIHFkziircyyIlCyfLG7is1Q3eXN+ZU3OtyxGMyOCYw4RbFmUEi/JG9m1nOX7zAtwsDygAB58QT8Jf6Po6AdAqEjplC2+QU1CjgARsBPc+B9fQcoR6i6jFMnwkHIkT9DlzwAuHknA5+oATMamjvpdfqMgqTldxijIIo580+9NWz9bK3Him/BIAqgFARF3YwyCLIHkDxI7CV7gWhAnSiZflPQp1VLIYSL88n6twTdtfcx1C2fGSZxgDx9wJxtCQz2X7MMo+EJR52P8R+JGxfaZm7OucY1rlKoNLNND2ZWI8Vt+CG/si89Tuajk1Cf4TFmSEGoOlxDCK+VAN0LAR8SJykrhgnd82vbqJHMathDEiVOpAzvZlAUMOmqoAMJjC4AN0ApmPSx42JbSC/LDoRAg69qWkotGXcEJWAFBAYrawOmUERE5n1Em4p8Au6tJ0M1Mf7KGnFL4ZEdIK//QmO+8+46PCDYuVrI3wkPx6VOyc7HahqZESlX0wPEVc04RoPggTHxFlg8czL3snrTtc8oTcEDmBgEAP6IMUIsMmZihFAeo7BsY1YopsoXQKeMhW2R4r8p7lC7XSZL39be1Eie+SbmWsPFdA54JOpGUhT/E3AZxQqYkeIKju/FgkRYHjcWuhWk22Kb1N5iGQIg/41Sc4BO1R1yEX/whbjKh+ki6xDD+hizxYTgktvItWDQIU2Auv+RnqkHUeuU3rQ7xGAQJHpyjviNJFHTbJFQgWWKqOCuBhGMwHV4PSjjXyxaCOAkyTjD2rJ9FViUgIjeeDyFICiCyNaxdEBkmLcrcMWLEx3r2A3zcEs5xOZOeJuUSEjnHo2RwZioBB0DOOAOgJEtyQs6T2f7kzLmlKiEvLjDBARggwszF7UIGCuZNucN88hnBpw95ktEDLAqnAEjh5IMG9UmmpkymNIY4Id/UJgHOso4JobGcmj6fqIMoIsX/ZH8AAyG3bUGShO3YI0C2wcrvR46UpV0fUSrUv4A8OvYugEubrMErqrSSh3IEfxiFOAlmeuv4D5WTIiA7ty3v+UvbH/xtvgUguIS4C3iwCAbCTIp6TbzTZtfMo7hGaRwnceJTlHICgbK+/Ui+3OnLZ8VAWCmOurmGD+sdhm1IkKRxEPmWXCr7wTr4JWlElGwLCbvqVa9aXvXsUbNsl59KNBE6fu4VqRNvteY4FirXKNfPJGwhiJMSmsY2pIWcLRCSEzXJyv4FMqUKjhCKlOAiyAhC7awfoFAQlHiUWsiTWLE+FfuU0XMGDheTrh5r+ein0vvCaeJZFXHbMHaeNn6jtvABFxqy6kIl77qwo3zBEGbE1hxusskmzZWudKVywVKo3Ka/ErkAEsBFvR5BQ374ggFsQlkw+BkQCFJlKJch7vyTX/EZx62HQYbGFwGiRIAPUQ0ERyVAxImPDwIq6wui7i6V1cWTpR3rKL1caeMzpD0eISDowSPEGZEVuPrMCcxQ3kB2+CjVUfBEnJB3ymWXIUV65+ARf+A/eqQkEz7nL+kTs2/8xPzzoc0337wkZYiOeYRnq51D2xW3xDbkhJ+KrYiJuCWOwihxVOxzd6YyLxIDy2As4mWdrrgGpzSaW0ZZDy4TG/gufETi7dv2lCCV64gbYjQcN/i6ZNHf4rdBlJh2X95cEieTISB4IJcTCoQ8M4IjyeYwc7K2jJ2DCSAyNEHMRJg8KhFGax0yKCcCNJzQK0IlaJELOVTcfSBrE5AFNYwbCxZ4HYOA7I46TodAUQusa6JJ7bY3qDSTtjZDZjypW7+HCxqpRYac91rWRSCAEBUGGChbKOtSDJVXBbpBcyTQyHT4n+xMQKIo8SMDQGjg5JcAJogTcgWEECukCTAY1uErtsEvg8QLauRyoMgXZYDDiBOfpTYhXI7LPknpVDfKlYbPVBamY8oO/FLgQJpkzHCJrw0r1dZmfuGTebcOIj2MONkmX+JD8I0/6HESHJVX+HCSpvkwcyQZct0r8cMWhAMBNveu+dVe23wKRiI0eovEKjhKNOAnkjxERZInMYSTynbKvvo8YYybpeCedeAMHw2f9uq98ptti822qfqi7AaD9eCpzCCDnhMFE8VL5A0u+o0wzWd6nOCZm3SmXbmZS+KkZkpCdGcIJUfGbiLJl0iNsogTDTQw6rgLSXAywRHcBE6SIxlciScCl6FsI8iqp1IMAA/HAYCWp2QIhhyA45lMqoGJFSAFOmwaaMn4BzXQpY3HXKAURHPuonfOZeeUqBpYXHDAQanNxakk64JEhJXrbGdQQIk+OnPMB/iZi1vtPhrAqVCIOr+gViJpSL1hXcPf0RsFGAAIP0SY7Juf8L84DgStTZx853fJ9PgpcLL/UEhlhPYjM8sgOT1TGpZU8TU+IrESLKhHfDOCTF9DemTgbeJkfm2LP/Ajvs9HBT5Blp/ap/WTRM+PmVfESXxDclzXiArMgUOS/rUQJ4o3bIEZEv2IYQiOSonYh/Qg+pYTM8VPxyS2wSSDkMG/YXCQmsCowCd+L7FVslOlsR13FxMckEFtMWK0mOtYCBOIGWz0u2G0hnHbH/W6GbfNJXHyTAuNjqRDWZQJE1CAiCBokmV5mumQGqU62TeCBchMlgCjWdfEADPZGdAx2TJ9+7BN5IhqhXFjxiZfgAJKmnb1OyFIHJiDIEhIm0mnTukziZ6CtMmZeXNBmTtzLHgAhnbfkgsZ8UAoLBfD+1AdB5ntC3aIF3naQICokgDDADwCGiXSM0uQK/4oawJ+ACEIG1Iv+xIE+Wldt/d7wrqIU/RaebQBsAFiVDMKLOADVAEw9bbS1tf4H8JNbUZw4IOgwz/Nz6hzY1t8R7NsTZzsR1CROFAxqe4CkwDI7/gsfErSNF/GPyT0fAa2wBhJusGXYNZqr+9QnGALQUCPMGwSD+GWJBC2iHfiH0wjHiDuYqXEjJ9RUQ1qev1fCfgkv+eTyJ4qULQoEDxsW2Jp+8iUWGq/fBW2SW7tl7IF+9wUYXnXzbRtLomTYKWXBDFRBkFUZHVKKBzK35FtIUeIjYDD+WTfQEv/Eccge1seqAgyXgVCYOM72wFUek7sV7BUOjGhJpPEKKPjxByFQ3EWk47UATdsXDDL5tzJmnNrDgUHo4s0tJepx0okw/fm2DwiLzG8rweA4JtKuHwPOYq74+qhZwEoqPEr3yB9XYY4kceBFrABWPzR50rCCFjcmKCPjp+vJiinjd/MAd+CO6EkGv7mT6MaH5Ec8hulYBgmEaSkwxjBTzDkF6FsSQyCRKfNnwXumENDjIlXvrVaQ5zgBvFAqY7YwF/4klcxkB9FczZME/fEQMcE+8RRZIdyJUFUrnNcBhwiVoihiJNtiZ2SyFBhleb0m7rxSmUIKRM//T5+KzGkyIvjfJ7yJFFYy+8eh80lcUJSTJaSGJmP2hOKgRNuwpApACLrAi7IkMlkTjqChNXaliwuJgIwydY5D0ASpKhRto9JI10+5yiCn0l3LD4PYLItk65chNgJbFi39TOYLb4JWIgQQk1mlmV5pIWBRAMpkjVAQrL4CD/mu10GPJSgqZhRguTfCD3yRMXik7JRviwopy2mRbDiNzJ8vgZb+APiJPDwEeUOQQyeJeakdZkkj88ox6na8BlxSyzzKmb6XtVFawxMQ3pCUWL8S3yEPQiNbYqDXsVWuITo809VHD5p+3BKjBWj40YWmIhoic3MdizHnxE2eIqAhQAyTZtL4mTikBsTbbKCEIUFedJPgjkjViayj1nXxGK9Xr0PQgSA7Mt39o0xAy4Sqs9rgLJONBIjX8HEE8QW38y1/iVgIQtDbBAc2RafkckBIKqkIMhHhvW78HEZWvgy3+ZzMj/XQQTIaWdhXcbfZcuuJddtX8CznOUBJ7Iwi79tGua8mG/+I8jwHX7gVaDTqxkBbNkN3grC4Xd9sdfyrid+N+iaXARzTREPxEnEx28O8533PodTsAvRqdsJhpnzHaRK6Q2+1Ymh7fNTGBm9yXqYfAYvarMu7EOg+LztTnte5pI4zYKZOBeWiywtbSUD4vzF6zIZAJVo6E2QbADelUDP9zJegK4kiRA4d2n/Z4IO3BGIEKRl9Ks+FgkHpYPfCcjDyFOQfIqukrfkxPld5mQ3zgkC6loep9k2EkSZQuCc60HYYN/h67MwH0mc1mAmcJkvqrT+Fr6ybP4iuMs4Sexu1qDAKXsPI0/UKURL/4NylL+tk/Yfq/1pGf2qj+lJ1ejshgl+FzcAdZnzx1eRJqVzJSRq8FqarxfFJulftisRMFbaxySPY1RL4pSWljYxk63K/En9btZwh6l+LuSoXT7xtwyUyhTPkNFf4VlcAlha2ijmRiE9X3pn9Lpqq/BZWzlB4pWEqVOIup5E5SPEC5malWCdNjuWxGmJTFDSH6FPJm5p9TeZ1Kg/N3zmFmfZQFraakxQUlYShNxQoTFeoycVSe8CBUBg4mP8MxpGPQLEzR+aU5X6RikT2JbtkvbrIQj63IgyV4xBn3WN+H6l7XV97n2MeN+1bHw2bNTLd416212jvX7X8vGZ1/i7vWz9XZ+BTK8HpigvIUPUTjdluHU+/r9a+BP/pGbyO3028eRqfT3KxYl9aV2WxGmJTM+If8cRz+gw/O120Xg4n8/cNurV59QBgS+zrrTVGt8RMJEnt8uHkkRZikZmwYuyhDS529CT+pVX+vRE1SbQ2Rbir2k6hj4pja6SA6VDTdT195a3TP2Z5X1unRg+s66hByaSjfa69lEvH59r5reeV597tb5Rb9v7SGYGDdupt12P2HbXejHq9b16H783jifOWxyzzy0fy/qdsUysu9JQMkOS1wNTYJfyGwXT84OQcTdrxC3vlCY3cigLe7yDZ6G5i3WlcnLacttcECcXGCde9rFWoHFbqAd/yqrcAmr428PP3Crv1RPSfe4ZQx63oN4v87L/ebP0m/8e6xGsBpksX/BFyvmZnifkSdB11wzSxOcoA55W3PcOntoEZE3o7mL0tOz4lzYSBM9lUzL00EjH4Lv43jOwLFN/5sF8nm1jnRgSDImFIbHwmXUlHT6LdZWIfGcb8bnhOVy2YUTSYn37cXw+s4zjl+TU+66H5a1bbzv27anStmMfXevGiPWt43xY3nYN5ygSKb/B8L1jtbxjtIxhf13nqj38JgMO8YP18kUKF+WJv8E55MhdiUhckHV451lpSJaysGtlWua8SABcL6MM68QY9H3X531He/v1+0Gf9R19153mvNQ208SJAzmhOumBKGlfpiBLXctQfrKtQcM+LOM13tfDd7Ed77u27/P29trLdY2udb3KjGTta3EcYKVEovxRDxmYEe/J2Z4R5FU2JjObZsBdjfEbAKiXpu8ctM99e/guRtf3MYbtZ6V9DBor7Xul7w3XkAzcuZnWfApi/FAPCfJEefJEfr0lHsSnjOe2ZMe7Gl+nfiAgHprnvwvYplcB03Ng4tlaEgb7NzyLzX9l96BSy/vMqye/63dR5jGsG89uMyQasU3re9ZNrGsfPrcNy8a+7CO+s+1YP0Z8RnVT1ox9t4dl7L/etuF3+a2xna51Y8T68VtiHb/Fe7/D9urj9Z3lfef3+n3Ob/tcDRpUH/1GcGi9fNB+gjx5ZlH8VgSQvyFM5sVjQqZNmpADx6ClIpS+vsPyFMBB6/mu6/O+w/ox2u8N+41jaI9QI9ttIfG97dWfxfJeYyixzooSONPEiRM5UUpMsh3ZD6nfAyXrIWMwyK2DRixjWEemJSvrGi4o+wHo9hnvDX9bH/D7XpZXH4sRT0mN7flbf8egY4xjinXtM9a1fRmdDHzYXSF9DInggILLoCGoeQ2p3wUs0M6TubAEXrcUy3CdT3M16PzHMKfm1/LOeXuYC/NjLru+j+F72wPSMWIf5tj3g/YxaDh++3YMsa5Xg3/5PnyyvW4MCoPgQUGc5pwqzfEtTwEWmD2B31OBPdTRc12Qy9Uen6DjOvFcI2oC4u/V76YmUKMMn1O5DH/7LJaPz6zjc+vFuj7znWH5+jvv6+3Vy8e+LFNvc9CAeUbXd0bsr952ve+uddoj1jfq3xrbbm/PqxH7tEz8vva5GjbMzWrUxLUa34AJepjOPvvs5oQTTij/Iw0Z1Dg+C0HZMTqfoY4hp8bt/kX2YsRn9XfIbRBTpLBrGd8juPG+a1uDhoQBeY7tx/aU3Q3fBXm2THwew788c30jzQbVz2exru1HsuC/gvj3Kvoc6/eSK4k9/Ji2zTRx4sQa/PRGCAgRfIIAxXC7qf99w9naQ8OfclMEL8vG+yBC7eFzQSj2Z0TA812QnHjfPp4IYLG9CGoCheOpj81xt9cNyd2IbXn411qJkycMO253NtUObPjb53oAPKFaucTxCczUrnlSnPiN4KtXQSmh69x3jdpPuoa50ntj2a7vY1iOkuIcymhd8MDaeo5Bv0XXesOG47ddr/FZ+LJt25//V2f79Xr14KuCm/mUlEzL+BLlS2nH/+jbZ599yj/9dJ4E1XxmU9okjN9RMWDaaaed1mzYsKH4HuyTLPp+2jjH9z0wWTIEOxwbHHF9x/C5p3gHXvsssAU+Wd53gT+xLHyA7YFJ1vPe9xEPYkQMaO/LNnzuM+9tx/B37NMy8XkMxxXYB8PEOsdcr+t9YFn8Jt85BtuUOFKjVUCmbTPf4xSqkyDopHmtMyzDY93dBeH7ruE7mYY7Jzx5ND63XntbMSyv/8JyCIdnenQt13e09x3Dtn3XtY7hGB2LDF3/xloCnj4D2cCFF15Y/veQLD+G/4N2/vnnl/+t5p8+apSkBuiJWm3ZZFoG/BBuIIkohO+sdcR/CUdiu76vh6Z6vRzKnf7WU9G13FqG0oISq30Y9mdfXcsa/NlcKltMy8wN4CPHA08+Jvv3T0LdNu74lTTnTeVMm31DSuCB5Aj+HXHEEeX/o1E1XNvTTiiY/cMuSXIo/6oElH//McBw7UR1AMbFd9ZRKqtvDIj39bC+spf1lMhiP/WoS3Ht79Yy4rgdq310LRPDTQgeXmpIqPwWrQizEIvmpjmcQxlOWteI7weNrmXrz7rGoPXXMuptjrrttWZD5HHOF2UMZBAxC3LmM+pe7byWp3JNOxMb1Rxvfe66zvsyjmnPI9ImEGguRtJllsrw1LNLL720ZLvKdfNG1tNm1/g8Ii4QU/GVtfQ08UFKxiWXXFL6tCTY0+5xYo63xq943/686/uuz+vP6s+7vluvsdp9W28WbC6IU9p4DHjI9tWIlUraQ0bmuxiWNThsWtpajf8pQ5DrKZzke6Rdtoyk68Nyd5OeBr1pyq1paWs1fqdfTBkIQdI7Q+mnXvA7rRDuJL7ooouKyk/xScxLG2ZJnC43FwqploxInvR3l2G8FBhZs7KCf9rqLoF5UGUcX4xg8PWov69H2n+b84JUUuSAMh8Ydq6QAIqechmwXqZSlPOCiCNJeifc/aV/geJJWXLtIO5kfDdEaBrVKKqZ3XmllKWt3px/51bJQ4lmPbHKvEbZSQkWzqynUZCU5/QHIuTIk7J53CDh+Cjw/E6DsuZmZW9kfpmu0b5m/rTOLPtT1ZM4XW7AWRB0AWkeBOoUmLZjeO9zpS1BwJ0F/nYBLqsTLaMBEOCrb0yDtuf2DAsKgpYyAZXFHTyIxDKYcxJPcPbbBSfXjTuHALDg5LqxnHMicXH96TtxJ41yikQGSK/FXN+2YR+zdp06tlB4J2G2rxFfWdSNJ0gMDBvmr31Mcol0RD+fxECCUPfQ6bOxbyqj51Ktp9/rCeVnmor1zykHewyCloUg43wBdktmEHV3kLn7y+NYEL7wz0U3v9N8utaiFxfhlNiE8Rd3ZuutdD4lQt7HuVwmS+J0ubnYKQcA2+2pLiIXWBtcXESyGH0YnmXiVmqgEc/oiYY3fwPCtYJT2mwasJC9y2BJ/O5MHAYgwMidI56BI4hYFyhRVJAFCuY4gtmsmetK9o5YyvijPNfVS+LaooYo5yGZrkXnVVllkAI8zGzP/hFc5xh5E+iHKQnmMJpzrRNPyfYbBiVHfofvLIOUWMfQfOt3dvmFdZAIOCF7l3wpEwlc9t83GFkuFDv76hrOHXJ/1llnlSZ8D6uUJCKuvrc/54gP+s180/bC/GZYZnm/0brmCO4hY3BQiRUxcaOL7YUJvubwvPPOK3dHITPrZUibxMZ1565S1+AgTDcXlkfa3R5PEV3khJjf+G3Oh99tntz4gmS6TsVATfTIcJjrxty7O26PPfYoJJy/1kR5WSyJ0+XGKQCYu87c6cMpgFrXRQYYOJm704488siyLIVK2c4FJ6P2N5BZRqdaBgM8AozbaQUj5aVhwQ5ZEEDcsUhJcRePO+L0V9iGRyYApUmpDtMy/o9AUB0kI32CEQLpWqTMUYCdu9UQJ9e0a5AiAuwpCa7VmhS0DTlAYCxnXlzLyLEGdqphW7GCD8iH5xP5fXHLt9u1qWXIWvvfi/jbOhIsT+JGJj2wU2O8W7VhieNoY0+X+S3Ob30HUnsIigiO5xbtv//+hZB6Ho7f6bipMhJB5MLt336HYwuL82geEGDEH7nQp3bssceWceaZZ5bfTI0QjMMQKZjq9n/frydxcj0pu3kkCQIwTB0xJ36nc4lY8jtEqz13i2L8hs+YL4/V4RPupDZP/ATJpir5Psy1zC/M45ZbblmuEWQ7idMSm4uGUwiAyglAb1B2gjgBY1nU3nvvXYASoHhOjuzGCKlXNpi2eAaABROBjuKkJ2cYcUIYECePfgBQgpTsTtAERLZDDUEaFsmCWISq1icQ+R6wU3EFP6+jXkeuZ9cv4HdNn3zyyc1xxx1XyNMwEibQIxkwwKtHJng2jcCCfCEZoaj4bebLvCFXlomSFEIsc7cOIlSTRX8jLOYfqbAupQN+ePyH7SiVIE8rnSuqpWOi/lBXJGzxeAp/OxbEwXFojPbcLCQNMYBZBlJI4YNb9u1Zb7YZJjCaB4/hECz5LtJ02GGHFX/mw8iGu9IoEH5fWE2cEMP1JE7OH5+jqNgvn1jJXMNUYMohErWe/WDraRRGZJnP8A1PTw/CxD88R0ovmPkMC+Ik3m2zzTblX/JEOXPZbOmJk4uLMwhsyA7JmZIERGS8ygQ1GLiIQnHyLJB99923SJpq58COioBUKfvZ9rBgmjZ/RnGgNAkIEZRPP/300vAsq+UDSAIfqUk3/+JTfIsMLqDxIa/8TtBBxBaNaLteXAPOGzWt7/Xg3AFq63htJzArmf24/qgqiCnSRG3Rk+jzLkPQkAaPSfBEY+TD+ogHEuRzpEFQdUzmSuBwNyDybB0+YR5d/zJ2eEKFVu6LAGMd24ynN/MB2T//kf3zJ2SNWrXS+UIIbJs/Uki8wiJEBi75PcgcEoi4II62jahrmBY0kUPH4zgM6yMbYY4bQVOe80w0ypPfhYxqpnbDA5KBkBquD+eNT1PU3P6vpQEptF3nZz0IlOPmP+bJeexLgCzPX72O6nfzYvCJj/I5cY4Kfs4555Snf4tfYh6FznJIFiJt7pEtfrTFFlsUss1v21i3DLb0xAkIApmQ2IHWSSedVFQBIOszgQ0QkL0FQBkkgAMce+21VwGgeBChzA+ARRBcxGxlmY2KISCYc5m20pvMm98IVP5Nglvp+YpAQ1nwt/+fJsgg20GcKAI+9zc/RM6XDYAmZa4715+AT10599xzm0MPPbTMwSDihPRSZagjyISEKsiXsp3g73vKi6BivgQe2zzllFNKDw9iYA59x0coM54TJBghCwIy/IArsnsBC0HyOd9CppE8ajbfoNYNwxAEznb9zvg/hRQw6hWlxzE5jiBRVC6/DQFEKGEcQiN4UmcQINuoVSP7R0CQIt/BtiBDlFZBFXmzLlIowNonhRWu6oHykFMBV6BFvJAzJUS/2W9InFxfc875Nj+GUbBMYkBtEuP4QvgTHEOw+Yu453EOm2yySWkvMPfK6pbhA3yxb3I0z7b0xEmGRgkQ0AS9448/vvQtCYSAQWAkpQMizgNkgI91LHPMMceUbA44B/nSIyDrWgYHWjYzr7JzTd7KOXyEksFnZGuINH8hgfMTfwMYPkJd4E8CrdIMJUBphAIgAAOztPGbLNm5V4oYRpwQixNPPLE8TRo5EgSQIGTA9a0shVSZT0FCJi5hOvXUU0uyJago3QUJoLZ4Gr8Ey7ZDbfG55wY5Hn4R5RDrImlnnHFGc8ghhxQs4W+jlkIEPSqXfSNmSJLSC1xCxpRYvBcA+aNj0YM2qEzs9yB2gqy+T8QMgUQW+bzfY9vOhXOtzUGfKBWOUoc4Iokw03mLnjP9VHr9hvUepY3fnGvEGGlFjhAlBPuCCy4oZNt8SubMJX80R5RyyQefpLJvtNFGhYxbl8pKfVKeFk9dF4s+n0tPnGRHJHaACUg0OQIETuJvrzIlAU4TMFAlcwNP7BwwCIKCKbAArrKwle7eSZtPE/yUZgQcRBugHHXUUUUlcCuzTAy5docRf+A/SjZIkixcoOQ/ArGyiSApG0e0Fq2/aVZMuR1hcu0OIk7IAfVl9913L3NSE1nLU4IQAOoinKCaIDyCxZ577lm2DQNqo0wi2P61BwJjm7J7fmAfiJP1KTUMOfG9zH/HHXcs61Jl+ijXvo9l9CMhKQidJ2Tbn8SP3yJNSI7hmBBBOAfDqFuIYr0t5jzwe1ipqdy2HP/BBx9cFDXKEhx05x5cFFz1UiFVkgJlbEkmxUKgdh4EX/9g1zEobS/aTRGzbEiTc47AUr1hlQoLHDOfYh1s4jeINiLsBgBzivDWxIm/ujZcE7DO9+aXLy2yLT1xAqqIk+BFwgaOgqEg6G//BoJqgAxxKsoUxwBOpH3lOX/LTkPu5HRJnBbTBBBAIkuXpbm7iOpkIEybbbZZCSRAxzKyfkFJ5qanQFlGCYgErqQHsAQ4gSyJ02RsJeKELAB61/3WW29dsABhCeIkqCNKVJbddtutEAHXvTKFOd9qq60K+ZCl16Z8wT8OPPDAgiUyeCUq6yBNSAulhy8w+1H2UAbbbrvtSqIGY3w+jDjJ7pGrWI6PUpysTxWl7CA1AiT1ifpFcULolQQ1BlMZKAVwTM+K7YXFcQmyfBkBOvzww8u54PfeSwYQM/tx/M6R5ECbA1IVyyn32YdjEIwptRQLqlOWqdfHzAEcgjmIOx+V+HnEAJ/kFxI8JNjNAOIf/xYfkSTxLYgTAib+IdOIl4TSDQeU1UW2pSdOgIzjaIxTWtH0iFkDHKRJ8ANCiBPSBFxJ4YgRR6I62QbgpSpYx2dJnBbTBCUBgZ/IpoEMQq0UITDUxCluNKAmCbKCrXKOYCJIkcD5C4UT2CRxmowNI06IhutUSUxwR4KQXSQ3iJOArk8NIbj61a9eggjyTFHSr2YdBNhdSLVRpPiHG0goLvqIKDYSNSV+6rRAhDQwZMU6iM5OO+1UVB1khV8MI06IjuCFnCM4mrUlcRQrWITUCGyGYGj423cUKeUZQRSx46Nxc4vt2m8QS83zAiUVgkLvjmKkyzHar4RSyYaKRKXn87ARdvqtfhfShIhJGuCs82B92068XB9znpEnJWixDIkV/yijVHQ+KX6ZTypq3FCgLCeh4DdBnJRe+QaC77qBZ9YJFXVRbemJE/Aj0Qt8AMXEB3ES+BCnUJxkcL5zu6oGcH0TAFHQA8ayOY2QMsokTotpQZwEDMEh/IJKEcQpMnC+gzgJmBQLRJtqgVgJdAIUHxPQs1Q3OVuJOCFI5gOBpTi5xqlF9fWLGEiwzK8Sk0ycUmI+rYOAKGXVJjAJOjJ5QclNKBQm2OK9nhLEAplgjgO28B1qjt6olRrEkS0N1zBIcONjEkB/K6kom0n8KEEa3KPtIBJDwzmhMMAtZEvwtA3brc+BY0Cm/HYly5133rkES7+LiqrpHaGkbFHf9ND4DHkUmPWACthKkn6364SyLyD7PBWn9TXzyX/MNaXpoIMOKjENcXI9xE0tfAh+mU8+0SZOSn8ULJ8jx0iUZRfZkjj9izgBRAQI8QnipD5Pbhb8AE70OPlO8JSdkbk5WxAnDghABcYkTotpQZyUXgRFQUHwoDoFcRIgZHH8J4iToCo4US0FCxk9gAriNKw5N21tFsQJ4RlEnGTeSqYe7Oe6rhUny7ieKTPUJUqQkhXi5HpHnPSzUXpqC8VJ35TSluclwQrBCfHgN4IM0sAEMcdBLdpll116ESclEb4Dw/SYCF4SQMenHIfkUJeo4XAJYfL77F95RgO3dZArpMlnzoOeFT5bl+wQG83hlLcddtihnKujjz66bBP22affSElFGpUQqWAIHJVO3xWl1TaorkrdiB61L8512vqZ+XHuzfUBBxxQysN8G4HmN+YS1iHDyJE5ahMnCiRMdGMA3OPf7hBGjhfZlp44kdcFMtKzTImSgBzJuoCh9y548nqbOAE+NXpAAdyAh3UE1HbGmrYY1iZOFCfBB0HiJ4iT7B7wUB+DOAne8fgCgURQ5TeIkwBJ3k7iNBlz7pXU3Pkm6EdpjCEkrlOlBcF90003LcRBmSKCue+VKKJ53HzrCUKUkCkEAjYow9UmC5eAaR6PspvHldgOxUmy1u5xotzoCdp+++2LiunuPkFoEHGi1vBD2+JblB7BjZ/aluZd6jiiQslyHmxX+RBJsi/lOcvBL7in1IYE+awmj44DrvFX52nDhg3lLlJBF/l3LTgHiFGYch3yqAzqe0TPfJgH5xvJc+4TK9ffzCf/glHbbrtts/nmm5eGf71n5pjvIk+IkPnpIk5UKXNubmEZfzafeVfdglsQJ82agCWIkyzK37IzTiGjG0ScZJ5BnChUwIhDZRa1eNaHOHWV6vgIGZtPUTCpDMoVFE6PwNBYWz87J218JlAjBAKC0lpNnMIAvblABiRRCEk0W1tecNDHtN9++xXyYT5d40piiJNeHUGmNooN8mwd6iN1G9niH44FeaK4UGeYQEbpEoCoWPDF8lSfQcTJPpRSqEW2i5ghdRRPZTnYhggiN9RxOIfEwTHKF6UJcUIUYRoFDOEKhSH26/woI/JTmKfXa9dddy2EyXH6LQIqhakuubk9HbmMO+j8Psdlec/VcuyuqcTK9TVzpJwGk/iHnjolZeQbtplXvsOfgtTyQyVruHeVq1ylCA2+N+8aw6mY/Ml1sehJYBKnfxEnKpELmVLAaTgPp3GHHLIkYyLx+9t3NXECgOq/gEbjL9CjTiVxWkwbRJz4glLI1a52tfIqG1PG8R3iZPhcIBUsEW3ECZGS+cvwkzhNxmri5FrvIk7M/CA5yAWipKQnwCA2yl5UHaRByRUBoJ4opblrzudURssH2aDyKM16zhfSQIGSsVNZ9FQiMoiXfhJm/hEPipD+IaqM5YepMX4LooPoIWZKJrJ+/oQ8uUkBllGG9HAh7RrBHZtbx+0DEXTsVDVN2ghj23xGubIt5BNRVH7k38qA1FRBVOmntiBOfBwxlVwipuYC0YsgW5OttMmbvjrXBfwR5zTvUwDNlTmCUXwkfJMhTlRIivnGG29cfAlpQsQRJyU/PpLPcVoCQ5xka7IfQCITAzCcQZbEoQRIDhXESR8CiVNzp2XJ17JFxElgRLTqHom0xbEgToKAbFn2rLdEYOA7JGw9ArIxxAkwCSgaaBFq6+k5SeK0ftaXOCG3iI4kSr+j61ywQEwQEHjge2VVBEOjtEAh8CBBgogyRRAnBEk2r+zhbjPfIWOwA2ERbOCK/qlQABAffUO+Q0gEoZVIBWKl3IekIEUCnySQmoAM8jGlP9t0jJdddllRjvguH6Wu81dqkxJy2w/hmHPhdyNZAqoEEQGyvpJzEMm20qAHxv6cf6RLguFc2Q4i6dgHqWlpkzPzac5VUqhEyBA/4R8IOGWJj4trYfxA2Q6pci0gSprKJQ2uK7GUfy86aWJLT5xI4bJBBAnQIUYyKbKjEopA5646ZCiIEyAFUN4r5bmzQEYmawOIssiVMsW0+TTqgwZI8wx4zDXfEQwEVT0wynSCl6DCfwQa2T9SLUOnXsj4qJZIOyUDscoep/GagAzs3b3oPLumKYWCeVdSY241LAsKAr1AEHc/ChLml0qib8dcIVWItLmlUinlIcnmNppu3U0mOCmFRckNXiDPsAMBsX2kiuLDdxCnICR9iIXgpoyG+CDgSJ8kkG+6qQVZ0cNCGUNe/AYBEnkxLINg+Ryhcqx+Qxyv7SM5iJOBeAq0yjnOExUiypptsx3rIo5+k2OAoUiqALvSb0sbv4VyRCU0n/ycv2gt4AdIE/9uz435Qu4lIkh5JAz8S5naw02XgTSxpSdOnETQAn5q/Vi3JlKgRiEAQm4Vx8qBLqCT2VEVBDxMm+Ik4xMQOR5QBKjL4kTLZOaZUsQvECh3kiDQyJPMmgrlFmwBVEBClgQzJT3LCa5ARmavkZfiIOMHXl0lkrTVG6XGfHlaNnDXEK0c4XqWTbeVHNerRArhMVdKctRFZMo8mk89RbJqQcUQhGTh5pfiSMUx/9azjn5HZT9kI/ZHbVSSU+oQfLzqS0JaEBv9UMi2JuuV1CbHrF8OGXNs7tQ0kCi/Je52ogpQyBEYTeqSPMTK8SGVFHaNwXBPQgDjkDHbD4IoGaRGOSa/F3GSQAxS1y2HdFHUlK4RUucf3vptSZqmY64JJF2LCcLOd8w5X+S/kgVz3jbzhVCJmeJlPDke7kk6VvLVRbKlJ06AAIgCBpkRENF/oDxHsvQ5Jg00NIQCOMDEyQARR5MlAltgwqEAVj6XZDFNgBAE+YWAqTwrYOr7AB4IkSzb9/wHgZLVIdh6VwRTZZ/oDxC8+FQdWNPGY+YKQXF9IqdIq3mSBCEZXSU71y3FBbGQBLmmkWHvBRrr1EpyBBPkIIg07HCjgPcye+W2eh1kRJmP8kV5cTz2xScQLvsX3ELxGWbIDTzyGx0rIoMMSexgk+QPVnkulNKaY6OsU8z5nf1LGJH4uOtP3xayj7whPkGAahViJeJkHQRTkkGdoLy6S8s1gTT1+W1pkzHnnv+Fqgi3EFt+QnWEYV3ESWKnJ42vUVLdXKCfLkray2RLT5xc4EANMCBHgBWLBoDxPArfczLfy1YFPFmhAAiAZXcUCNkixUpZDxBxyGVzqEU3YC/wARE9HYiTO+cEEJ+Zbz4lyAAUZRhghJDzCwFLX4ygyo8EFADkc9lfV+aetjozT0pmGqfNA+VHf5FrFrE1R22zjmtdOV6QVy6zvGs/SFM74JtvCZj5RhQQD0mWAERdss2udWBLHJ+yrf3AHOt07afLkBPHKlnz25Afv9Nx+80CGwKlh5OKRhXnf4gepcF54HeOw3vrIvP8Gb4JsMzxGmGDiJPfZHtUNwoa30fi4GP0wPT9bWmTMefeXIZf8ls9cUqoiDV/CvXbMpIJogKlXFwkElBjEXb+Y86XbT6XnjiFuZiBliCm2VdfE4cCri52wAlUOBjQAAQAD8jKDgGFzJH6oIQnuwKinC5t8QzwyJwpjMpAekWADAMkAEUw1Eiphw7gINOCUwQ7D5ZDtvmL3icBt34GTtraDJgLAIK/c474GK5JcxTz1TZzaz3LWd41Pmx5FvuCBXDEq/fDAorvEA7HVx/XKEEIbiFtfh9ly371ofjbK/LGr6hNSmVIjHId4u7fnhiSQe+VXPiqch2f1vcSxKltNXGiqjl+6lckBfxecNVHozSnNOT31eQrbTZMaU68U0GR3CHV/EklBmFCxs0nQm0+lb6VcvuqootoSZwuNwAkqGHcSA9woRhxHtI52ZqcSbbHvEmWdTbmb+RJgES8ZHcCJfBKWzwz54BDVk2lFJAEVkCCcMv+kSolG/0DFABkKoBGgARQgpWmTEHIsso3afNrfABhmgWCwM+QKuXK6N1EiKjlSpcesYLw+xuBV6pRgtGvp+lbiblLlWPKbwIt9UFwlVhKFFwPkktqFcIkeRSYB20nbfoGrxAj7QTmVQ8TrCIMIN3mUxlZTDSfCHL0ui2rJXG63AAeogQslE04jQxJcJOVcRqgoCeAUwHHtpHYraeHgETt7gPbSFs8E5QoEcq07qADMMg3oqwkoVdFXwx/cheWPrl2GQ55ok7I0BEvy/PBtLRxGB8Nn+SP+qgoSkgRpUgvlLvjNL1TkAy4Bb8QfwF1kMrG36kPVFNqkjKjRnQ9UsqUfB5OukYcQ9rsGpVbnxthQKyjUrrhSalalcW8UhIJC4MUyGWzJE6XWwRC2RHAIFW64NXrKU6kyXi2hQBo+bb5DFHiYIDDstnjtJhmrvmBPid+wW9kYHwI6PAXqiQiBGz4UttnvEeewseU72RyaWnjMj6G/FAJlNSo4pQh5B7pl9wJihI+yhSfDcIziDQxyiilic+6BmCez/RKwUDXhvWXWZWYF6MGinkx9+bPnPoMfinDEgq6MGxZLYlTZS50DmL4m5P4G4gYHGwQaQqLbVCfVlo2bb7N3CLG/MKcew9czD1/QYJ8L3gM8gOf8xPrIFEZaNImYfyQPyLxksIYgiRf9Tkf5Mvhs8OMr9bLe+27btpsmfmCX/zDKwwzj+bY6zACvayWxCktLS0tLS0traclcUpLS0tLS0tL62lJnNLS0tLS0tLSeloSp7S0tLS0tLS0npbEKS0tLS0tLS2tpyVxSktLS0tLS0vraUmc0tLS0tLS0tJ6WhKntLS0tLS0tLSelsQpLS0tLS0tLa2nJXFKS0tLS0tLS+tpSZzS0tLS0tLS0npaEqe0tLS0tLS0tJ6WxCktLS0tLS0traclcUpLS0tLS0tL62VN87+1Mu7O99/pagAAAABJRU5ErkJggg==" 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互相消去秒的单位
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" alt="" />
进一步得到公式:
aaarticlea/png;base64,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" alt="" />
然后再进一步我不知所云的简化后,最终得出如下公式:
aaarticlea/png;base64,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" alt="" />
当推导出一个等式时,应该向等式中带入一些简单的数值来检验一下,看它是否成立。
如:某个对象的移动速度是每秒 100 像素,且其帧率是每 500 毫秒变换 1 帧,那么不需要借助等式也可以算出,该物体在 1 / 2 秒内的移动距离是 50 像素。
代替等式就是 500 * 100 / 1000 = 50。所以这个等式的确可以根据移动速度和帧率正确地计算出每帧移动的像素。