# 物理层习题 ## 波特率与比特率 **例题** 测得一个以太网的数据波特率是40MBaud,那么其数据率是()。 $A.10Mb/s$ $B.20Mb/s$ $C.40Mb/s$ $D.80Mb/s$ 解:$B$。对于以太网,采用曼彻斯特编码,所以一个一位比特数据需要一个高电平和一个低电平表示,所以两个波特对应一个比特,从而两个波特对应一个比特,所以比特率即数据率为波特率一半,从而只有$20Mb/s$。 ## 奈氏准则与香农定理 **例题** 有一条无噪声的$8kHz$信道,每个信号包含$8$级,每秒采样$24k$次,那么可以获得的最大传输速率是()。 $A.24kb/s$ $B.32kb/s$ $C.48kb/s$ $D.72kb/s$ 解:$C$。对于无噪声的情况下,需要使用奈氏准则,得到最大码元传输速率为两倍的带宽乘码种。每个信号$8$级即一个信号能表示$8$种状态,所以一个信号能传输$\log_28=3$个比特,所以$2\times8\times3=48$。这里的每秒采样$24$次无用,因为根据奈氏准则,最高波特率为两倍的带宽为$2\times 8=16$,即每秒只能采样$16k$次。 **例题** 二进制信号在信噪比为$127:1$的$4kHz$信道上传输,最大数据传输速率可以达到()。 $A.28000b/s$ $B.8000b/s$ $C.4000b/s$ $D.$无限大 解:$B$。已知噪声存在,则需要同时使用奈氏准则和香农定理取最小值。根据香农定理$4000\times\log_2(127+1)=28000$,而二进制信号限制,所以根据奈氏准则$2\times4000\times\log_22=8000$。 **例题** 若信道在无噪声情况下的极限数据传输速率不小于信噪比为$30dB$条件下的极限数据传输速率,则信号状态数至少是()。 $A.4$ $B.8$ $C.16$ $D.32$ 解:$D$。已知信噪比为$30dB$,所以$30=10\lg(S/N)$,解得比值为$S/N=1000:1$。对于无噪声情况使用奈氏准则,对于已知信噪比的情况下使用香农定理。设$N$为信号状态数,所以$2W\log_2N\geqslant W\log_2(1+S/N)$,即$2\log_2N\geqslant\log_2(1+1000)$,即$N^2\geqslant1001$,解得近似解为$32$。 ## 采样定理 **例题** 将$1$路模拟信号分别编码为数字信号后,与另外$7$路数字信号采用同步$TDM$方式复用到一条通信线路上。$1$路模拟信号的频率变化范围为$0\sim1kHz$,每个采样点采用$PCM$方式编码为$4$位的二进制数,另外$7$路数字信号的数据率均为$7.2kb/s$。复用线路需要的最小通信能力是()。 $A.7.2kb/s$ $B.8kb/s$ $C.64kb/s$ $D.512kb/s$ 解:因为$1$路模拟信号的频率变化范围为$0\sim1kHz$,所以其最大频率为$1kHz$,根据采样定律,必须采样$2kHz$每秒。又每个样值编码为$4$位,所以数据传输速率为$2\times 4=8kb/s$。由于使用$TDM$复用到一条通路上,所以另外七条数值信号需要使用脉冲填充方式提高为统一的$8kb/s$,复用到一条线路上,所以需要的总的通信能力为$8\times8=64kb/s$。 ## 编码 **例题** 下图为$10BaseT$网卡接收到的信号波形,则该网卡收到的比特串是()。 $A.0011\quad0110$    $B.1010\quad1101$    $C.101\quad0010$    $D.1100\quad0101$ ![编码][code] 解:$A$。$10BaseT$即$10Mb/s$的以太网,使用曼彻斯特编码。所以前低后高为$1$,前高后低为$0$,也可以是相反的定义,所以可以为$A.0011\,0110$或$1100 1001$。 ## 复用 **例题** 一个简单的电话系统由两个端局和一个长途局连接而成,端局和长途局之间由$1MHz$的全双工主干连接。在$8$小时的工作日中,一部电话平均使用$4$次,每次的平均使用时间为$6$分钟。在所有通话中,$10\%$的通话是长途(即通过端局)。假定每条通话线路的带宽是$4kHz$,请分析一个端局能支持的最大电话数。 解: 在一个电话系统中,端局可以直接处理本地和本地的通话。也就是说,一个端局像是一个局域网,里面可以挂很多电话机,因此,本地通话不会限制一个端局可以有多少电话机。也即限制电话数的因素是长途电话。 为什么呢,因为长途是通过端局与长途局进行连接,这中间的线路带宽限制为$1MHz$,也就是说,我们只需要分析得到,一个端局可以有多少个通话线路即可。 每部电话平均每小时通话次数$=4/8=0.5$次,每次通话$6$分钟,因此一部电话每小时占用一条电路$3$分钟,即$20$部电话可共享一条线路让所有在这条线路上的电话都能不被占用地使用。由于只有$10\%$的呼叫是长途,假设最坏的情况下是这所有的电话都是长途电话,因此$200$部电话占用一条完全时间的长途线路。全双工连接$1MHz$,而每个线路$4kHz$,所以局间干线复用了$10^6/(4×10^3)=250$条线路,每条线路支持$200$部电话,因此一个端局能支持的最大电话数是$200×250=50000$部。 ## 传输媒介 ### 传输媒介特性 **例题** 不受电磁干扰和噪声影响的传输介质是()。 $A.$屏蔽双绞线 $B.$非屏蔽双绞线 $C.$光纤 $D.$同轴电缆 解:$C$。光纤抗雷电和电磁干扰性能好,无串音干扰,保密性好。 ### 物理层接口特性 **例题** 当描述一个物理层接口引脚处于高电平时的含义时,该描述属于()。 $A.$机械特性 $B.$电气特性 $C.$功能特性 $D.$规程特性 解:$C$。根据电平含义,所以描述的是功能。 ## 物理层设备 **例题** 两个网段在物理层进行互联时要求()。 $A.$数据传输速率和数据链路层协议都可以不同 $B.$数据传输速率和数据链路层协议都要相同 $C.$数据传输速率要相同,但数据链路层协议可以不同 $D.$数据传输速率可以不同,但数据链路层协议要相同 解:$C$。因为集线器或中继器都是物理层设备,不能协议转换,所以物理层协议必须要相同。 物理层是OSI参考模型的最低层,它建立在物理通信介质的基础上,作为与通信介质的接口,用来实现数据链路实体之间的透明比特流传输。在物理层互联时,各种网络的数据传输速率如果不同,那么可能出现以下两种情况: 1)发送方的速率高于接收方,接收方来不及接收导致溢出(因为物理层没有流量控制),数 据丢失。 2)接收方的速率高于发送方,不会出现数据丢失的情况,但效率极低。综上所述,数据传输速率必须相同。 另外,数据链路层协议可以不同,如果是在数据链路层互联,那么要求数据链路层协议也要相同。对此总结是:本层及本层以下协议必须相同,本层以上协议可以不同。 注意,在物理层互联成功,只表明这两个网段之间可以互相传送物理层信号,但并不能保证可以互相传送数据链路层的帧,要达到在数据链路层互通的目的,要求数据传输速率和数据链路层协议都相同。 注意:1.物理层的协议必须相同,因为中继器两端的网段一定要是同一个协议,数据链路层可以不同(总结:本层及本层以下协议必须相同,本层以上协议可以不同)2.而路由器是第三层设备,向传输层及以上层次隐藏下层的具体实现,所有网络层及以下协议可以不同,而网络层以上的协议数据时路由器所不能处理的,因此网络层以上的高层协议必须相同。 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mWMpIKsEFK4LZKdFZyuHttkREEiIKpatbshplSPGhYy9B1ceHg+w1xGnomYtnNETeQNGAoLgme7Odo7PUFacOBn1oyZ/AxmrX6O+6qEHO7M5Y/GkKHsjsiU5cnSJlyETRM7pl5QLRDCHiYaYr9UhF/whSLGg6+FfoadGRijKLxGeYo6GrJqY4GbI1aOMZt4LiltUYTK3D6ljqNh5gYAR18J84ccJ6XGrjjJKHL+vMkKO+xFQ+lCRf5pmeha6r9SbIeOXpR37kR1QEeWDnsB64Q3pZDK4ojuQqgrdp8syxlLuVb5XLlijAfj8x9Ou//uvKYiqpr4vi1lxn3NQ55CNZe49gJ1MVO8heUMQD1jBN4gT7kBhzEWUSdYHX96sjEUd+VyBMUC9Ueev5iU98Ihx1kAlWlCFGweRb72eSWzAhA8mC5yKu+Nmf/VmTGnLFr14ovtyFovoThBCtOs0sthioZEOjoXA7tl9zzTWWKFv8MSe6kscWNqLIXYc7RDqYNFIoUV7m2OpcKaky2rpA2YGOmTxxIwOFW4ao6ZxjCpPqsGWp7fg18dKA28Be9KIXSUJ7mG3JkL+95HlHMNNptnlsYmo/k3g2YE+W4sIhHmsQnVSe+tSnMvnTPu3TOE2Hbtdee60Ng1c5jZ99cW+nFy/x9czHFprLNESAppAMAoEYigxBxOlJzu9y5srs1ONPTafiuKhDUDOdsBL0fZ4Mp6HZLUNHY3QJYOlxMjMpqY/B6pPM/E8lt3QgjscWLj0cBWjOWP1MsUirATNwapjdRNBEasCw4hZIYNNx5WRRZgLN3YoyP0uq2IvCWBQWoRjNghVc/nG1ACU/JZ3PpIdDMOIKxcYihy/rbGCn4qvCKh+ObLQ/ThpFaQj8pSyqBZLD4peyn/RJnyRXrH8ppaOU85dCoGq4JcitXGbJkbUwxJhUfpVC8Ws+QeHXP76GpnMaVcV0LG+vgCgjTblCHktu6jk+U4yLHEUVX5HGTCvmSD6mCTxlLGY2ciCtyMK0wmWAHLKExF5xl0le2vAtcQ7XMQVbmGxefVnlCkrtUHBBmcss8GWSWlBphGhoactqMQsF6EPD+JCe9iGTYqAtBtZRLEmMh0pynW6MNWn0CZpgRQ1SrPAzbBY5YvRfoSR8jYvYq4J4Xome3KiZaIX5EBgFVueXf/mX7eU6XkD5dUHZVd04AazFLDk5QTQVazyqHga2u5UJtjEiqjz/SEUBpSdYZnqIcasjhXgMM1UFXZKInWIqq2WIW5h2U3HPDprcoIPsAhUdzHjllVc+5jGPYTI1MoXOOtup6pNwERcdJy17jOAywZ8m2TwybxIAD4uobS59JhilP7vifHS22AXljFrxJV/yJYJuaIVibW4wkNMe8YhH+BgPWuxtGdb1aWU5e27mAZger610fXuSfGCpuItCTksChN/LXl5iHfMFUcisF4s6TlCUOAQCca5Yp9VY6vBlnRM19sgz1UQgqTvQeEXMYNKeRwBynALnKmauPsAwVyoaX0sR1Z+LMRNRwiwh3s8x33HJWuJ93nR+96KDbjCDP3bQIoroMs0SAm4958sQ6WV2q5RK9LTCKW9zFmY6a0SsChVfaE+ePGnXUQhE2hBzoClwBK0TV8sY3aJljlFqX3TRRW5zHGCLqTE4JNo2CJrFjGnErXlX6WV7I7IJzKq1zS3U1nQoTxPKayblXjrTltuZbK0qWw6k5kWngIRW1l3xW/Aofj9IzggWEesBpz4prkt01sUIrGYiSppLBYHM5OgPc1F8i5nhTIYDQT+AvK3A6bOI7aIsATxIoWcDS/YKnNqnEKvvZO0KNCTlGkzmc4JEJY4IyizQ1DvHQwcCmJLE4hJoyLJdZed5PI4OtsY8DNkPjKop0qN0KxPigfa2p0/P2BuLuFSYmCCgrDNqQUl4UPF5EoOebunALhbZXNEZJSiZlPLc4vHioQ99qAwPEY+5erQa89CEG6Wi+mDU7ZhnKSXK/M7v/M63fuu3gnXLdg/oDGEyA1NwuMJyswxdmSz5mckDDGe+xi5LD8UaEThS2d0xLFVpF//hyzp1TeYMIvOUtviCWzX27NJjL507RJ3vpKmV6cdYqcDFD3zgAw1ZJHzEub/3e7+nXlgSHMfdPgrUUSJVMSko/1TMSy+91PJGfMELXpDk2zt7J4MZqccDos5YkxKM5jKAhoKNYh3yhmALZNaA0LqViJal46SdSRFEpLMsUSbkB2YvbZKsvEp/7lX41GgPKDaqlEJXhcAmAdmMSoC5LBUI1CPukcJxg9SP/diPfdmXfRlY9ISp00xs4XeltkCoyzRXp+isuNhLDLkatf5VGfNSIwpId/tfHr3pj0e2MEcsOI3aIiiOFOYuIv1aTXLCNIUhcVHyhMPRyZUasX1Sap7IlpjjyuHQPPnR3x4mfMk9sxgVd0HkCgGSDyLCRebFI0boZClmYcucHOX8oiBDqBd32QNUc1CSFvNLX/pSvsVMQ284TceZfKUsnjhxApRAOAzKHwicb9fnW1uCoUQNrEaH3M5bOjlKVj1iiz1GcOE7pjiiih0nMFnjduFjprXgkGGFUpJupiaIk4ZG5Qyj8KDr4yGoX/MyXH+pqsF0lqJbEFyXgpQO6RCnmJ2byQJHeeuUpeaSA0Z5W6yFFZFFrvjx2F8VQ7eizEBo3gwrTW7lv8yxOrLHD2ZcfXv4ss48WfWVX/mVYu8lScoc/Y7pUwgqsgrCifL+sY99LApnSS9FXLrwEdco/eqgeqeQ4fQamn8NfciHfIg0covIieqaR2Z0e+lBdAOi0Sfr1tUDrxUlRyUB26WXhLC6TKrKWGNKISWdRrnIqBdWTlV+Mfv4j/94y5WxPs8ibt0aFXtWO76x9PLLL1cH/ZGh3JIxxD1f+0eXLBUF3RICZQrF0bqiiWLhpa2yAof5FpgOKA6hRgpE9F96tVQkLpA0CmhAzKJj/widGvLYL7QOmCJoXqXNo5LAKQc2GDhKEv+IJkC2C6JrFrlEgsmH2lINiQDXIhtj86sPz5hrHWYERSfIvM3zljR8L7I9WXO+uLtSmBMseCZb2OxS+FQEdBFxywl8JUb00VB4SVqaQihx8o++6iBbRJwgBH2NV9UFt2o6L9nCLQFVHjNAZZ0/BdoGYxOVP/FG+bDcUpSeDilsjIUmRnLJRm5ei872I70zRGexZpGtlOGkpAElxdQxhYYcYvO2GO1b3lT40wdJzmO8Cj+z9OgzyWMiC99bLB364FkR6OhQgm717c05JcCMh1nBQEuynqtktQ0+Bgqf6NvzBMLyT8Gx0u0EbvlE9Ala11yxTs+xBw5f1oWTKy1d/5q5+NGbeSjxjuu6gHElT8kGi+Hiiy/mREtIsQZoRumrlEgIMzLSQkI3rzVjOrIoMkbt0DeE2alHhnE6/gRs7J2lFPFTpsWPnqqzVUe3JAFtLQAhtAhROOQhD3kIfH1qI6q8OnSmG8UwqAsYlO+bb7754z7u4x796EcDcWQjwnB/AS+ZeEP1V0DdYkZRs+xeLDU7QJuHzQaDGsFwbz/tN6aw3vwEDYqG6EstbYPIKI3mnC9Z733ve6sgKJz/UR/1UfLYQ5JRvyia1NTKt6NKgvVN3/RNNKSzIRrSmZe++Zu/2YMUEywh6mm8YUZBJLVCVeKkLEIVRHSUoewfK9AyO8AoJnAyHI6jjDe5litka1j+m0sEcXIvtyguTPBZlJDhV6+tZHsb//AJTju0JeNjJ8VRXBz6pAFPKk/SKXH3gZnypwjikWyeVuUbfLLscibgRkUcMymlNupJchWWJiZKvsUhx0l7swPnDUp+yqd8CqPsRiaCzyHi7rdf+GzMroYts4sp8+1PAo3Z5mQ34jQHMqdAbBzLIlfgEFxX5KcpSMk6+DzvNoFbcY0OEYRpJ4shfEh/t4a4Ou/E+MRrKCYLgalzUmGsDHerBNmG6YNC3MMEMzFLGMm5wsxd5hy+rPMC1a+++mrnDtXnq77qqwSyXFOdXQpN0hlMkCM0rpS7AqaDqBFxdatFXBSTcxFRDUViy7vZbzV0WlkVfKq5NYo+OXs/UVWSl45OKqbggaUnZB3xs5JNQUnK0JBWbnUogE0/Oe1qRnS7t3LgK0C/yDnIEIfjfUsyPmwSwukMMxGjkkP2OOyjZF6Fw1BETG3UkpOCZoRv0rD12xhOgsE0KU1UH5XFSU05o+cjH/lIRMiYER1g2YifAhYACn7mh8E7MSCakFE7JyBDiq+NwUSaW9elSuI3qaYDmWJe3cKxBSZ/0NchR3NQapMiK6DA1VzF3UT2UURZKljsooCa5dBqyGaPmf8535qXMMkHezOPcYV4Pf3pT0dUr20MarQzHV9ZU0qnpPLew0f3ZB0S/Qtrfgf2UKhqK/T4lVTvJ+3uhtQOdLXD0xtw2yQFKAM8Ll3hT4IQGKUQwxRWpxMqOWbJQ++OqIrBI6b/ORr8mJ+XQnIDxX7vSk8OcQ7gSe564QtfCE3VI1sRqc46PZkpfxyEhUZquV2KEy9VrInbfW1Cgq4vguwSIPg87yGY/txuzQqKLyZEwUrExieOZR4d7LUy3xKwu7PUbm0Xd7RHEVAbOXctVXKSf7GpkygDomDbtxmvsrM5acRHYYubBiLztwBlJBxVSYTYL1r6/EUwpRN+TYGI31WNCLKk0cnUHMr1Tjdqpbx3m4ISzmNerS4bhuXHcGEbo1EymR2VMERVETWU5KOSW9pqPkL3haInFSZLEaqylxTbNSLB4SL9pAVA/YBEARSCKJ6UWa1ionNCRs2CP/3+a6YgCxaUherBX94rK9SIJoZMjcdtTaHDzBBNlyFEFLcWv/rFRsseWp63jGr9uhUnKbBs1zGRjrTxAcPHfMzHmGIdZlwdbVknmvpxpszUt9o5gQ76sVRJdRtv6KgClHHocQ2OmhgN7dNO/daOhxuJBB8PQVFzJYtNFTDkjxVsJPqmMOQkgRODpqPcIGoOj0qGWTjTNcTMu858slrssj95xnr4wx9OTy22UED9snnrmKKImc6tJhCuAbFk/PDIgf7GwoO4UrixoWk4l6oqRjyjvJrCqUKFzaJrULu60Z8CuPU9ZXrKB27pCdPnfu7nOoary3Y1O7QpONk+asbkLTNtdUqNR9grr7xSWMmyV3qoDwAvueQSB1+13paw1MYZAw5f1hNd9ngM8VRl8UiCaBDvzGiza4jBWUuyWe3wmTA/erFgLmkKH4NWs+ibC71m1NGiiauym/dcYN3CKfFdOnTSlSSZZLfQcRjZqLVVxjWqwqGJfnK6dI5uudV3puM6OK985Ssp6X96x5mKEVW1siWYroiu29nOLCQgmTozYtBRNB0rPEE7XCfJJCg0nJm680oEpynoJtb2byvHKwhoKlTZ0qqKPxPVXOMOBlDOetak+iuFUgHJxtJO9YoNYDyjw2rnVq+hVCIMcU6pWiJ7OxEBSCUxcvIC6zaArhhcjQpxggKTGqGHM2yZCwVOAFWBJz/5yZLT0AMe8IDs3BFMBGsWHds8fM2QWw0IQZ2aiyd9VuB1v6KjdLpGZMu+LOilrVh7HJGcppOolDRd5o0C1pdZEN1GE9Oh5FaHGqFIHnFxJhB376OyzEuqxczsnVcIOVdJIS+C1ArTdcq2bCUFUJ+2tiu123nRxmkXt916AiNilKUi4jlG3EWEiIYB3S2r8bhiEO7MkndZlkwOBIiYWwXW9Q8AMZiYWsIsPFSXUiyJea4Dzv7buMOC9MuPR0sdm2Gy3ERwMBRa9WtGFFq5huLquZUrVV6qEizOAlnXsWxkuZaH68wLKlNXwEJPmDN7GFwzL30wY3A6UCvlkKef/NhS/Ea1YEZ/fZ30CwcmNkRXSclk3rOE5J/FOZg3Up3XyELWcTqDb3HKTpsZTbRStTqlTCmJkunEUYugVeF5Ik8niJDxBDDM/dco6QoHoJ/KPSYLkCl4IynUj1acUZtKyR9oLNIA1oxGUXKLXv2AoGcobIjMtOmqvx7zxdqRHyx6CYbfLeJWenMhHnooLTOT3Xr298Bs80EAACAASURBVHe/THZmt3YCGIQ4Vn9pAyt5rG4ImR1CFHClUuhFoYmGJ8bGG1EV0enVDqHQM9kteqHprGumhsl2h2uf2NMnsIvQiGigIgWEho961KNUNknu8SjGGhUppmnpR8o19A3K2eqHBzGCfOKRVN9r28ziWpyLVB0wH76sW9uUy0833hXK+61Rmwu6NtCg5zaydjZ1k3M9s9gzkxzwC3MLf+bCfXWbKdwGx1VSevmltHn2CbFHjb08FmS2cZmUZ14iUaPVB8WtllGdUArfbYak0cmTJ507vL70kp2q6MUfBJRUE1I6iG0LMkF+0xxeuNGtTqVXYGv2ng4RTV66ijhjFQ744sIJENCjBgWiA6JOqyGe7eDmkn6uVrjiawvPKGIAexQb89AKkaoWTx5QApv8GfP3UKISTDbCsUPAjGDA2z4exLrGLUEI0SgoINzotYZb0eFVIIWm47b4W3oRMVDGUCj6bPeOzstrbwaEm2MRjZZ66fRfqa2Z4mj7TOaZz0Ye8fi5ps4sUTuTpo8OoRQwdOLECblty3GM9TjOFUaLpzr9SuI0i6OGsq4+eK8VrRYhYI7CrulQjKqhe7/qiYpL6Z+tPVO4hoKZFOVDKTQUDGKNwmOOGnY1tqNnFvTjt8OXdVuZ4us51/sjZy4G0J7SWtRdoT1ZvvMyUdXgSo+98om/EPmokGfcsZn+7PM4BXwrYv0o7hocgkZnxDuHnLYkk3dtXmF7RlthaU0Uu7xn9H4wR3UvJfg2OVRsPR1qpJFlLMUEyH5mz0DPauzBaXngkOU06etKNxGhnl/2nDezMlv+yX4QcsUAU4PmxYtl48HZKoKJwWiukzjzRJ4kK21o6N2dviyyCa0GNF2yBULavAKToxAiq6PhoaFn0E/91E912vA4lSe/zBWGSZx5In8KjWOB4u6MpWMWDX1ecGaU2kYtHFFWhS1wBwX9tBnBdiggck9TzaWiUVeWwhnYG+ZWvKcvc1jNmV6DQBhg9iAQSQszp0kbL0VdRcrTDzpiNbNItrgX0W0NpVOjWYkYGOvqiOnY3s7Vo94Mz/ro7gIVJ2vy1KlTXjj6X696k3sm4NunaaO03yW7i84peQiIpwRskw7bUxg0o7sEW3qxEZTfQCiWXQcb5JZ5XT+v1ch616EWrwBJaOMiKmlq0NbWzWtcaRGrFyFDgxNBe63vx1FUTC1DRhcBYiaoJVnlqOdx2ezbO5T73e9+rkb3YkarAafkYbLQKBmWpeoW9VD2Ak4yUAYCJX1bcvHFF3ucYjhPhnmF7QRJgQUS8IEJg9tJrQKCUwOSW7qpwiLlRxS7L5ONmkvbBTJDB6t5QLF2uNGR0C2oFSnUzgKEVo4vrve4xz3yzi36A0dsmff2icgcPypakgHh1QIxqu0FmWTwaCLVZaafamyTkzyLiLTy7ZzKJpfUdL9Fx5NRstVTnxVaDVUHiOY2HVCy3Q8V6iRl0BeptIu5qyDuEp6ki7p0lEaeLyxRO7Bb9jNjkr+HSJaPcEpQcfL4k8eWuKYzTaNDHGdvFHWHa/FOmvaosZeH1dCo6iyzl3mSgXjoZZRPoDgwD5I2oWKYFJ8k8hJBCUTWiTUv8qwij/zJvEmpvcRkKjbLUlyUDyXJrScVM65IUOppfGjNQKCnrTFxd2uofLJXt2KgBimyKILiEQ1+/iot+QC5mFd3yhX9hhPJ1DrUczW7MHmrzpnOmJLcRo4Y8HV6QhYOS8aLZmUoE4HSArvCZLIS0sGFAwVI9OVSkGNFD2Y4I2WHgIbilw8/byJqPSAzPJTkQKtGwstMQZ9h7hyCyY1sFx3aMjyC6Dq5DiiIOKsZjXWhiK/HR8/NJ0+edOYw1IIEat31uO4bz5q1R8Wjo6N8rGJluo0l+HXGUvOUeMcrQh1J7y8dvHvV4eJM1+MOPFnJ5pLrPhlU6TxPZeoVWo11PnHiBByZJN3taj1aDUAiEmX4TTr65FnHy0fZibkUHgjO3wLUuEtpczICyHte6sV787K7RqkKU3JTyTZpcQK3U6LA70EOQq6gMlGUdG7V8etucn2j/bbtUmYXHTiExF3t8Hk4CttdiQR8l+wM/aw6t8lkmIGdEZwcIkVDseZAf7rlyBIHyk8TbVHX7D0RlIo6qbyZ3a3Oaliy6pFUt1v4Pd8rRwlAz0nTdhGjA6sJslfLL2c2NnEvqSgZ5iL2dIgIt38eQ2aaxYm4R2rAkygjRg3Z4iyoEOs4Dvr7D2EaiIR5TCwKZarPb/YJ2eiJxyaUWWr0OJ3Dl/WYSmPlw+FIampZ6ktjX4bxo3j/1E/9lJ3N+3rfOPrm18pH95xe3i/+yQ5mDTNlvLNWgKyiTtlJwDFRuguSQ2vOWaYb88xTWn2E2bmSkjreaLHa6GQm7cWsZLJ4fGkL0EvwWo1u5xHGozQhpQU5fYvH85l1bpX22E4KcmQBWs+ao5DDi5+IqWoJCVagyoSxMjMU4DCByx+/Q3oC0IEpJ1M6Dc2I7xqKznXFlrgA79STLCmza8HRYbLTAPVcbZMopUDbL+J8Byzb/VjqCJycFPFO9eaRpbe/r3F8kZNMFiCwPEDJfnzqhV+G+yDSrS8FnbcQtfhkXo2ZUQiS0F9s2Xjgz3B2DtEHp5djXuw4YCkgR9s/NdgqeyZM+oWmzy0tJUOhBA2DQPOYA1bCnVQvkNWdxXVn70wySam1/yi7Fqf1Q1ctea+zF2HMwAvcIY3slpud/ez/DwxaFu1YZEyBEBx+tNk6Bee2rmORpRRVWJYLEsWcZSAvRSASqRQIC1Kt9FmRDdIvP3y4woHsVSk4CrLzL2R9bwnppuM6Tr69aoOKP6FF3FKXmgqTVyh5sNgLEltcYzIcfSGWOd5gApRIhrQMrbA9OvAAPZ0zrHB9aMADu1fJMQPxNEM60YracXKmGEuNKRQIEUhWh+LrIdKVAx022+gU8xhnFwWsleKtDvB8IBC1XXeJ9NCJc6YX1pD9mOT1evbIaNgTo4QganhG8SOKryHcWjKBatVA11pKZx8yQacER8C4t1Ow2FgUo+Ck4yq9mR/MzfDZIEZqo+u2FcigE35ewmXIKVBofE2kInHLgHn17Zoiu3cyZ2pfd3qsUJJ6wrwXkAsE5oorrvAsqdL551PkEwfFg3HQXhCLhDKbOGxPMRKISAoHhIP41A+SSpKSIU19zrFXpUmGeCzboaPBF3/xFzsacGYKKOUnpeaJUjwnNWmUDyVh0pBX1wFmOqqm+TbJmvT2VmUXfftQJ2wiCCQdUsqikuHZ2cHN4QDFUK7zNu4aFVm2Q0hcYrJb+eC6S2oRnYbOHJLTXDCZs1ecCJ7wp089QVeGKOZZSrijYZQMz17YAYOg+ON+yWPXEXEgxzcZAsUE2t4DUMIHM0Hswa8QELcAVQnh1md+xAsEcWBR5y0EijkJ8WceBQqzEwEbEUaJkVgkizzt+SeMLCJ/HugjZn7oRwtnvJS484MvapjvXwfxk+lqY8c67M+/scw8xRKSQ3nGF3sGzPP3jCYkTkM5CnFNPE6WL0zR4xFSWSekPDwqPQoQt7rtRNirqjj5shNmzm49Wk1ixl6ezPpxa8PwfkNnHSbXaWT9DYWjgfXjRYekN3vmmlRjL5Esr2onTpzgT1NAtm3sFRwwwEmiJ1ss9TBQ+DjqASkESvpU1GO+DnyOFawaHeiz9JbaHgWcr3kAbL84BTDHRn2yfscG4jHXy8aELGjh7EcOLDNVdia7TfKbKw3gCsxSwGMZq1394pW5ErsezHDSiib6qoRXJWxX3AGG2INTyow7KcQwWf2jP/qjHizGPJ2U6OMKSoi9DU+qe8MTQ4LTqXArAtAh3SahYjinGuoE2av54cu6NeMJ2h93eYfrvZ7atFeJvQys5QIvN+wWjPcmwZtxjtb2yrYMyW9oou6sIZ9kUhgO4lBKWt7And1kktt29p4+ixL4mEYr5wLvduwTlIfcAzLgIagBVCYcYTzuUEx0+DBz5TqQ2ntLN4Kx0dqWoI6rjpy2H9p2+pNW1YjQk9+cg6SNNenaibNLW+ptrd9cfJQF0MZjY+OKiBwTv0Dgg6IzD+xSZkDHn8YDIpuroHCg7yJaH2JbESMitJKQntXEXemMkiaiSdw+UKnnliA3ChNYxtbbA0p2JnysjkU8xmSbmVuFUtGkZGvsOj1F2anFGy2ftDoSObObtMe6licW0TD7q44M11fceSAfp4W/HxxnrIsI74Hy95VyMtO1CqzuH76sJwyO1UqbN1D8u1q5EoQpY2666Sa/MEj3eqUgAwxxh2sxT3YGPE6XIs2hYA1pk1JLiQIG0DOvf5zLH1u22dkJlYVHHxbp5yM/etrSspOtwDT11sQNJijv8iArxN51yFSjuXZqWGzQss0w2XYr4jqgXJcqST2Csd2yEV/vl4E7yMQVJjWdVrN3dmAGWUfyiAtwsLVBrsAcTw0cDkytH5BpBRUz+U1dywkuZb0fraDajlg4uDCZhnTLUDDb2VuR+X6kVHO/Ztt+BD0mxwO5ziOUDoESC39OrFBSkvkOhcdRr6YGLu7QHGK8ISzYYujp0AQOraISVT1M+C2B+Ypbfg/owWl5YjVAsAA9Szlt+KgmOwcHtsyr+2fOLKvlJwVpnLeitqCDKBpf2NL9uqIc+0sNKRUifNOlP6lMS0ycUOSQ9zB8KkKVi50gBZhgk6IAok4eJlRM6Q5cYhVzZyeYAHUsGK+J/Et+nk789oUo9nBq3k7MEoGQ19ZwFHeFQ2LxAMCltuMnxUCY9HQSdKuI6MefKzBLhErOL7YxaDCT8UaLod9wnDTUaKV22CZpzvagGV1q+OTUQBQO2sYt5ppka4nhRKGJq1vNxuMpSlDsvqFXcraynX3RgelQmecn4YbJFaHHAxg60cJGiogA+eWDyXm9njQIQw9gQBIUsjLcl9A+WveWzOsIoyKeUX2wPZgDKzhQrH3gaCXmPNQTlAGIeTN1OqymrRgJNJ3dhn+RkvKZJoGFphD5AtU7N31o8cxAjRW3+/NvKSib7T/+b2r+0W0vmmPzUpAxP0d4nvIrnz+0Ta4nTp0+xVbe1M/RwCyIEihhG086T4kUcWz60USueytqCWmI8wi7RmOg5E4m+Te4PZWbyIKXFrukZuh0I6gp636isTWe2P5DHJKpNJ8RnxyK3wxxpj3MRu5/pwDcqy3ERbZjDj891SDPzvU1dA2FYVKTeWIEaeuTcA70+GgWbamSM7NwIw/Yzs1V4DP8u4a8tPWvNjoJirvoY6vs2iUyQ48mfjBk8unTp/P9WPwpwdJmxGeGFE3VDZQ3wp7IcUJzjVdnBDOUiKSQBcQmwYGuVA29QMJct50dIKo5JTlQZafYCpyIuGoMFBH/oxL+BC5SnBC6a6dW2MJcV7rZGn1r4F2Z5bkIambSw5d1mlmZHqK5Uqhm5u4fAiXenvsYzxH5s/LKIR6v/gxmVkg4/cuIEl3fOl/tykC5asA9oCltXuQ5JqjC6uaMMjND9AEodbLwPu/zPu9xj3vcVVddpWKirNAWWpJSXvonR/y/HVTeVDdoccuMPpNDwXSFaQMTEa8OFCMLSUWWoJNS80QmA5Q8XKfv4MZk+Iga2RW2R4Q4Mxn+1V/91T499iiA4vwR2HmtekbZ6+HP0wBM/U5YbANODlTaXH0XkRe4mZ3yK2wnC4qsWeJVaZDbXAez91hKDY2Nt2z/75JHR0fOcD2CY55KEs+4+Tfy5KRayYdj5qUUljpgySKbmReYKywdzAgQmpO1HxV0vDjSuGIpcisCxyyu1157bX75WIo2ULJuD/8SxjqUlN/wDd/grZZnK/9KeE22upNMkoswgUgpW5yfL/Q5wuheZDzExSZQ9hsviGwSBNH7cQYTZXYItgdl3WsiP296PZqP/Ew34O+5TWhh8iQE38k6ZnpMuWj7f0ZdEfhSg6yNB7IVZfuhs4pMpWLoUa/l4Uy7LJB8xvvDP/zD1pI/VFFEWrbOPq2iCQd6AhBrpU1xRzTRCsMzL/FUN3utKVzz94HcG1jXTg13sXEp9WwbfpnEs05VFY0gDf3fDZUMqz0JsBqQXVEMrO3WY67b1oQVhoPSVF6pLkZOMBLe62ZEaJ2ALbPo0IrtEsl3FpdccgkfilfQcLYK9/dp6JH08ssvd4BLoeiXneSMadD8wQdAea7E88DSh/KBRYx1iJGQzsFJ/snZlxLX1J35OUSItX6oYbb1Oc/cPyrLeTb7m2cWadrK7s0nqYOHT+NWTlTZHTDhRHadT4NGE4no2VnRVOCEyoL0DGiJtkp29mFShlZSU/P3pU960pOuv/767d2agwxAmgTW4vG9ASih8dIgKg1We4+ecSZOhkP2yZNwuy2TETtxApUA6duw/csQDlkKhxZ6oDoxB/PCDAjdpOWrXvUq+KA4wdXogH/dLRxBD2AnJraWkzjbPd07AjtzeFKhsEaflm2RehLJeoRso/VGNFDbaW8z9SJMksz0fAbck5kzlts2TJ1oxEmpFZahjnDIJQd2bbW9NXVM/sIv/MInPvGJ3mu5raH+ThtNfYJwPOrZMHy9vq64BTNoAP0xgf9xkr/y8RNIv2J7OQ9f1hNgseGCHLX2KtHDAJYvZLlrppAWBF1RtHkQiUIKjw4Rj7peC7qVSbaKveK7wJPiQbaBu803nR6pHI7c7hKcocciWmn+3t3Xft6ZZKuI8jOyk0OkQLnSM07TufHGGxVNhocyKThDJBhYUApHvoQJf/Rf6lL8oGDaeDztiU4+oQuaIeBGZ1SaHCpYo9zoafeaa655+ctfnmIXKyYFFxEpBgomqai6Vxy/NmBT2uTPD/zAD9h6HThAlfkrbA+4A7XdQvU8depULR9TA9cGCuy9jRrqmmeyHDCrYgZzbNQYMyA4tzm++XQKiCrptXU9nJUUNq1u+zuk/AzrJ+j82LMaJDMSp6cd1/caXOr0dtlll6lyAlSh6ZmiXR38r2h4X+8NHqgV4djljcOX9VQQZ2EGaLsmXkRv8wCmL5acZThxk5jb1oNGMbykNJH2coNP9UWrAtODUzyRgqkDHNRNN90ETfPLJDaUYl7UIQjTVaI7ZHkOUNateUTmu2r9gHDSSNnG8oUstZkPRKcfasAJFqarKmyn1KdqeBZpWCKg5DeTfSRq5Xg+5UyjSaQVmAT5DQJkTyfKpW0jHyxB09Az+3GuQJIAOoFdikaKiFjYG5wE/WN2TsGxHT2jKzAJCg3dQGmqp37hrIOlJK9KHmi+DvB6EI4WT+oU/q5OmMMPBILXOME0BD9Du8Q76d7gXX311Y9//OOdEo6T5KajFfVoJb1tt7ZJL4uszYGxg9tdemILJ0y7+BOe8AQ5GQ1D3yXYTz9M2W3nkzeOBn5IETD0g0QISHBc+cIDC/At7cwRr1Vgpk82KvGmH1JUjYJdF3hhgBlYfRXEU5XSaUv3QmZdkGhC0CKkqgLn8xKbkENHnlVDn7FxciiaMNarQP8qOh77hBb6Cj3jfFfhZq//yZ9zFnB/A0J/takHM86PwuHnQCvnYQ97mPOL9wZJobKo5S/ifIcIZPr4IcGLHRGnnvdFQe5Rch4/o2oczYVJ5mtLY0QNbqQSH3KgDhCY8mqFya3CYL3VgQ+KY6ExX4tbWs7OPkFQ/Klo6gPXQswVeCcUrYjwVXRzUFPfUYAPQFaEaWPk9isGW7iVzp+dWrVsNS+tNEPOgn6Qg5zzAUrokWr7Lc5kP+DSUqo/73nPs/fEIZPMS4mHL+ts85OCl25xZblmqWYtP0w4vOmqbjpvekLnEZTOJQRBK0zL29+R+1EOEchx1o+Vo1EMiOrmMQWmv9G3Pmu6/g4cDQLMWCeT1COrKI9prRWdsMEMs4OGn+NSiO09nd4bTwSTvTTUUo8gI/qkIZhL9QwgTB0p7vziUXfd68uBtjBpCFbVsE06GDpnRb2lSg6Q61awZKOyHv3NVUMznbC5ktJ4Uojlj4Iuf46a/9M3kHWqJjOJW5L5N2FERzPXOkBSmsrrD7t8I+BRAHIZYoghMybXELYt0mZdO//63dWQBxRxF6wCMaqVVH8HgkOG9xvi4tcUK6hftuVsZ9eXmZ757EDqj+TkyZa5s78x6axROvzgnGH5EI9POnFm2LpiMCM/OSTq2+TZvAfXJnlWELlAxnPoDTfc4NUwhPLOXrTiTELnS0TedMiSAbQthr1QLUMZmI4XEX4oB3jy5ElsKzDjLld6RjHVDZT3Tk6vABFbBTr7UY+s/PaDITfa1WS8JQTBXJ04LVtUReFDvwFwpt0iTwDrqkYAFYtTp07BVJKAM1lr513UDyY0JlPPUpc/OjTUFkHNMDsl+JjBRi7zsfUo3PJESRR5qK4B8buc2rEu1qUnWDa6QuZV/651zjFxbCYt5s4OKE3mAHRu87Ix37NCo62r1gMVxXCS8huPEglN/XV0RSyQLV4X4GBSSoq4P/NBtyo5E2XA03M7UIDrLBk/F/uLNm0F5ibtbrunmsJvFfkiHOAKzLEha2rEGKWlUMuhQ0PkhWOmZpCBWJmSXuydWz0B2YeBo2CoJGjVGPeTdtQjyI9A8LjlZUPaWKSHksDnCo16tPI7p06P+IAHAqgoo8+NTutC7r2TW/QUjoHU/G3pFne5Olc+//nPl5f6RjlkHmE8ShnE6GmrcEh3irFZKusArSjXsdSAEpAiEhFlizwbj0OccJsibK7pFH9PB6b4WoosVTvyjwfc//73ZzK06N+DM89jS7NbmCvbZI/txaOjUdIUOjYeDU4M3xq9cfUK22Nd/bGuzAGbiWL+vFGTo9TIevGWFb4qLJeiOeWNuk4KtsRwRgdacZ3n7yQ2zIwO+Nvbnj4QxyAp5HnCW0dz9Si2F9lK9FtxXpj44Ji2bVza/i4oPGGjjxZn5h1m6LsEF9FX1rKZOShKXauIlvraDHPnEEAe5M0AOix4jo5PFYJ+dxDJjHLdxyoeeP00J+TrlNyEZZvE2XKAKHCUcet5wtvwdbCVKxH3/ZMqefr06ULTybz93rNmRIRgvaB3cHPgYrvpFqFlUiLldp34UIAsJICJfqd6LRtYwQXohQmrAxX1yvyWf28/CDHfW1EBUtos+GC2VuyFmmHgTJWdb2mumXSGuR0qo3jMHmZLc/iFY2PzUlgiLY31AJyBjgVc6gElf0uxOtuDHI/Voc1GriInizDQlvmtDpN9IJohV7J2CG/G3PozF088vAdky7J/h5jED7LdwunKg5Q/WjbLLs4eepRhnd8nbBKcefHFF+fsEkMyYw9UeOIlQU/58uisIhmqfOiHmuTszb9J4UkijZntmZTZGPpTfBItxLhV1eAIZxmVTo4iAnc87EwmHiRCPfynTp1yysjhJTjrHAoNrAWZZekpMknpt6/8uD9j1ORQLHWlD2SwXrrxpwTVyYmmFQx/Sxn3KakBxOwvm6xDhw4+dJDpER8DhgKQeq7c6J21iIh4liVYM+4SHNAhhJm9oLyrlTw2XVAeqlocsAPZvbdELOmsahr6gMHK9IEj2KCZfS/IXgZBt2F4XaaAYuaWvSLFEF/RR610znBwk+HeNXuWAqvhxKOVSH8HrFcQ2981755/xiSYrVf70UoT4tzIq15u5K9M48b4eS9gZmeRDhG7rHBLcpkpAVDQtb04MwzAvc7yZwq+M86rpxnmXUMbp9/W7WIkeaxEmWnVr0ie2AVWRywA6tjCnYfk/y5NltIPX9bpKjs9oSi4i/J7RnWYgq1QOlw7IOQBkE95x7UzA7DFmzrOVhaPY1G9KukEGSgJUAOF7vBrYR9t/1dYKojyNGBedEsfKS7qvvPzqCvkLOUErliqKn5SZqeqlzn+vhTFOxPOhGkIfZFuYSZFH316OhD5603LUsunApA7MeFomIkwk1b+yScUtoe+GV6yTwzmZaBGVduYD/L8SpG/FINpxqXOHIDnFpQcsFmaJYVpkm1ANHU7O2XIUlUHWjtEcHA7gJq8JWIBgoqZrtiSQhReh0k9sMQ9LlvgQOxkbku9IE/qU0Q8cHLrpKKg61svCrEGKqoW/4oOBLPA5FI/KjjD9Si2ayIqaVznlzPf1fCq//GF71AH/D1TtDz6zHd96lOf6sya0Aww190evqxT1LPki1/8Ytfk6DrNWimWJ9Jej9rYbW5ecdTmxuM9+0cyKZz6OjDJFk47Y2c/mNTTAeWo5aFPPw9oK7ITiFazQ1DdHLh8tQLWEsqMxdDTYWk0lDeO1eyF45wV83PtwRnw0KRclw9GzWKnzMrs1zOcZC1vtjsKeaRwNZ2h1hsDBXpuiUMOp2puTeqrdJCzinoyZ+9E0Dz9ZC7+rBnnBXFiIKVDjfjB8pbkzi5+l4MT9VY7gWBgJaRZIJtRR0tnXsPxKJVgejQ5ffq0UX3rsZQE26NqeOIlfVp5NIHpl4/83hP1gj/WoYcSq5V1u7hf0ZysexQbI5NKo20UxpOdO4/ORkPXGYtPUlpOsryXn0wx1xSTgv3Ew5d1q0VULG/ac25rQ79ak5y2XOFhuT1T+E0U8Ew0KVJEPGmkIFiEzv7WuQipJihaMfd3WEo8mngs9c9IeatOHH5i3w9VnDShqqt4q5v+pQS12BO0R+kszuLs7CQKrjCZ/MpXvpLafnPOA6C5OnFatrgLAjP1PUKq5hJdXDgWfhhakV39UoAUNFH2x4HQ8Me30b8fcDARcW7kTB1P5S95yUvq7x4QxW7Av+KWCR77nNazYfQgxGpXjWmxjtX+EWZrx8tWj6TJKwwAw9CDXDxEsl54VfMv9nia3My0KtULVse56kUvepGXG1Yil9JQ7MKwAlzOeB4lKDkLRLCqn86iK3HrxXnIj/lWjdsViiU0Na8sAuLdOrqEFyNerdHOTtmFn3geSX345KG8HepE28V2+LJupuxjXFDB3jV9Jx2U5vjvuc9j/md91mflRSG/pEzvxQkCNiqJCkE7efxobaMj7gUZMyTwwTSFdzv6HPHIOAAAIABJREFUQmU5WaIrzI+erpCp52qR+4zMqwlElDCUJhi0up3sFCZLFU0HYR25XmdtDJOCM8ToZmodzTp32orVM1KDofjH7HBcKxCeJHDGq67aQHDRLXFJIuLekp06dUrfKtp47ewvvYvQJplNoXy4wux0ZthcNQ60gQmHuqZK0tDLIldzGQrP5LzzRIKsVnwppnmF7d0gEchgdWg7jzA5Kkz2MBGHk7ccMcF1kn9MjEXRwSg0OSl/7ItqMUoYIrhOSbJc6m2w+vugBz3I8lmBM7CIwuqP5+acZpjfH+7Y0l6B82SmEJcEeoWSLWb1D1/WJRAVNR3T5FrzretAY7DGrUKlevIsKE4JfS8stvCH0zscv0olMJ0Iu6agA/VESPOPB8C0Pv3JjyKSSXcJ7qJDi10Y9G1mlrr/H6M1b7/MdIuQgeSg4aquZb/5oR/6IW6EZpZFaFGboBbX6YTocOS3Yv2cQUKcuRKPrCsluY4PJYxvyCR6hlDSWaFkpgaoee/kn99T4+wZeegJ4GrY1i6OlZkiRdtOQEaFM9bREKD4evfiNwBJ7tUEnRGLs52xsw/WnxTYbn0W4sWO6sbJaj1vQ+hUdTAXhPz+AdDpyotHFFD9YTJ7mCHrSBvPjqqw7dYre0QaxiGxfYWeBMXCwrHxeDiLhgND9t7WvJRJU9OtIP70XG7UFECKrTozyDE8nK5gMX/GZ3wGDWeklg4dvqzTVVTYL0LWz0HU5Qv2e4R0dPXc51ZjaryT/rzlxRNX+oDMO0HPuZYQQeCBmgcZjBLZ6LH93cMKdH7xBO1MxHxnBO9kErOB1Pxt1HBVKTR5o8GxT0gm5VKbRxiPEo+UlWP9ZG0jqh2UH/P3U4hTzzUL1aN0foIG3uPPMlYnCDoAuZEDM8qZx0khusGhDxClzUsStYMHTIeoZZZ+kyc55bnmtXiiNskzIJq3nM9ko25tOf4W1Jbm2MEDlESPhuv0hOBfxnb250YaxsmsjlsGKnXe0oQbnaydrympKMeWVtu9UNGEGnISAsMtHO83KFnhNpq2F23MwEa6+SkFQg5DOmO2fgobKeYkZKugvD90omq/eHGWRQDhxJl+VKgXUCjFvLpz+LJOV5/B+Pcw5ZPOas1aQb5gts8t7BbWgEe2eASP26WOCBpBzVIHAk0etDP29OEQxEkBddN5Tbr7R7eV+KRmRnugBjyQUahnNfofXwD36k0VBpihAf/8bayjEj0dXnwdrGMt5TXUCkDTQYigDtfFXhsPJ9xyyy1hmNfKaBCIa/qgqEorIFmK6GHL6F7AMQMfAsmu9uAHP/ihD32oT4Dyh5Gmi9pjqaUUhsvPfNEsZJD3IsT2sOGnJyXpE/X8U18oyZ9wtvx7wcNA3DYDU4HzcuPSSy/VjydXoNWkZFVhzz2WoXd6jkctphmLc1cn4TbKcPzU8xki3ZjMkwlZQt/jyclZoFkv9jPgnlfW2dtK0YQ/lXXqObE5eThlTk49T4Sj4QEefCY//elP96IV8rxs/+jhy3o0FmwOtZ9H9X6FJjmB8KmfVhyIMPgLC684khxJ/UmpMXHjyG35sNM6JjhxKMFBiK/HIvOUoEGgDEBVg276qjDBpOY8wmAUIEpgiYu0R8grrrjicz7nc3K4XqFn1AAl160iTxXwHQlRarqBGj23kQVOJc89ANMU5X4lA5LpUnS8I6p/m4ljQRVadXrUK8zEV7WlasqHSBl1a/ZWgX7YASdwi9N5E70TkC0UK2axEBqK6Wh+dvYcSUP9WL3CduCm8DLH1TYp7vYegO28A0N6bmnlMMSTcGgl4UkhRhZxL0hrC36GU9XVV4OUBBU0bGnlpb3IxcBMZ6yjoyPp5DMttzXU3zF7mHXomSZLwdJzHSZb0iAHX/J4seFjGB1Eo/0a7uLcH4NdkrvoEsiXy09+8pO9vLal72JbRGdqftd2otHUdOWYU+KCfkcIjHldPUk4tNp7LKTCWaRSmDM1BDiOMOqa05Y9w34un1YAlojsgSPXvbG1SXiPqW80qVBsPR0iqZi0VX1kJO95RUiWKxBXYJIiG0H5rV7A1HGCy+v1HsUGPBYzPWFCFmWJBBAxGroO+DtvoeXsb9l42vvsz/7s/B+BA7gadjC7BDBRiKlKA4bBLZ5ii8k08Y7Ru3V/YevB1O7IG1o/5mAKgNzo82qVlyd9NuqkpaMNOBfdJu6ORMC5lOEMSSa4prMXMLZjltXUo5jMkUXQqG0KDcjq6BDnurxltUd2arVL7YEaliRVvco7Jqzp+NAy96lb3kPsUmApfXFZLwt1qm/W3LoKmBXOcnVNEckQYjGMO614DBjwyx7hf/WrXw2QuNMctwaHZ5MBEdx1bQOgb2+0mesolyUSQLc6IVan9NEJQ4YgZEhHGnkl6gHFsvG/PD99+jRigfd3ILMIrKt98bu+67u+8zu/0w4EAeAKzKAR5ENPzTr8aS1pmcs1rZQ8S9j8N8SiuC0iS1kNzSt1ofFuXWGSqaYonsIcd7Bp1NNqFhR9V5u3KKvI8XkxFHJUGsAOiHBQKMl2O66vRf1xitejUjQ4YQCS21wHmOPblk0fuE0dG21dY8JYqqVQCRvDXbnRFUXHCr/nPe+Ziol/kVYtfmS5TvVROIRGuG0V0Xagv9u2FU6IdVsdaWkN+iZNJ88o9Nd28ZdgdRirz29Esn+LiOOL85AhLSkRQMgl2N/hTMw+g/H2KX7ulx1z0mRr4p140lsdeorRmG0vpdUEpj+l9oGAcwZwVmeWvSB7GRaXdYitr/WlDg9q+q6sFS3a69M1ozrhdBtxOPq5zXUDsW1hCH8CH0CuBAvfu44cCcHutbAYzJK+zite8Qr/MzlVwwsyWRU9w1DKhJlGKBqe9HMtK3RkJAad1772tWJD0EcXClxNvbRT09l+/CW9xfOsZz3LNhk9l6KVqmD9VnzixAnrHFpeZGWu8iTmmqWIu2YMJwfKdU5w4Dp58qSX48HcJTVJr7m4NzqoQeE0VCbot7cYzGV0gIlYdMlj1PU1r3mN3ZGSdnSjiZShiNcUY7QB+JiBPx/ykIe4RjfgA5Fdt6CIyOoUMiYLij8seMpTnuLTgI2pZze5dHbhTNLBav7H7moH5KOjI4+89uAt6oKFU54xS2xnoNM6T8L0iwLM4unUM/zUs5z9xZC/85A2TqzEDcmBWBS0TJrZI5hreIqS2xJ0grnhhhu4EaVTqxZBH3L0iTitbN4Md2vrFW76L0VOWgaWuNAA9BImlEw6UGPF7ZqyThsGW8yWSjXqorg6tTG46HTijgxZ+apJBPUNRQoRD8MQIesXmlvZA03h8Ick+vJA+K1Mamg48ey1HA/mYvPTh+cJt7SNqsExNU6UXBH1XbHRzdoLRR8nIgScGuVRKOlv6LF57vObZE23tAPNvKTkes7C6hG/oS+FCj/bqecJV6O81/Q0dDgCaCgm4NRhoA6iIX0NMSCZPbfph8FvHr7aph5koUSsihnBRVfIGhDHQKuI+cRRSs9Wn9BdEdPCjFKNYIi+gdHA4oxKOmFLJ2wZmrkSMRqQXGXCs5/9bG8dFWWBW22+6DhqaPJTqgMXtUw3o8+uIYLcqHCo5qzOd35049JyJtl4INdAmTdtF7J36/JH3Qx4aahDcJdU0WmFLTPKGR0/AMhJmwTFsvp6cApw3DGFhPRux0+RKnthxq5cS23ik9MBaZHxsNfjFAdCzvJvGTr7mUsgaOV86cneRHmMnlSjE7Zle0Ola6nz/USFWukklhTiR4JstrbdqrzqOx50txI0o/jZg+4Wp1tQOtgEFd01PNj0jeIUG7mO7hTsWwtDiMFE7HFHeAAS1Eilg25SDaaGrukAR8SjYy9BdOuqHz31I1tD9huF2K3fuzz8Bn/RNVBgA25qFZMH/DMpFieo0r8fNoakPvpFQb3IlhaHmChzAdQJfuyq6RheloatPKNDQ1WDW7zKFKOEu1+94szsrijJIgVOIDKXK0MyOx4NhVZpBeK27eeWAwHacf17OJ7PrEmUCMIp/nTGFBPVXAPm3EKjqjNXnDzJM0+kTCyyR9ob7LgqiEmFo7VoHmQwSpA+IsJkHe8bUWLIgHPvbfkk6eGlARyBlktZjIuU5K4AuurLRr/GCe5LX/pS2lIVXaNVrqXelvyGS+h1X2w69JQ5wP3c5W8+7ENjDceUFkEfMh5X/XRUIQcsFM/6+Z5qILL3lqwGjQM1fVf/SrYncsTyzF6ceYY1ZR0ibQTVj29eqspCj/Z2Rcs7P30IjBQXLS5wpTG32pC93UtHabZL26C4Pl+/gtKxAUoUHU2YTUFcxdekez5rtaurIDh5oWoQfebtjPvCQ1DNdRKMc4GbFGAwTWpqRKOk2BJV8RiCYDT9YOZKT0R//qr44vd/qov4vFbjUTFmVOziHMd/Z0BsSlK2E9ONpfZSSMGkEnOsHB37RKTM6DYz6iPmdqPEdgtEJK6F32hNRyX0kydP3ve+97Wfib731/yDx7XY+jsEWY3fpAk9fGpkUklvSD+tVNJJM6oTi9LHyWQUsvLNzzM+pvJeGH1r3xvyPwiRPTPB2f8EqqZA1g/R1a2rQ4w3ZnkwB4LS3wpZCuWtIDSND9uJ+gHDGVkrVN7KZz/8VGgGZuKPrTpRZnA964kz/+VJf0gBVmmr/28B2U7DscGP36jkpw6Zo4xcf/31kjOjMSE8pV6mr6Ez2mz9X/3qeO+kzngPbknmzUlrVGEGzVA67bWI6bhKTmimcILxd1hZIK3I3j7Z8ECr9ZW/6kKP8ntB9jIs/jcNClERtLt6m8x9ctELMlHx1bZg86YqLPbf/u3f/rKXvUzAnOakqTVv89TJF76p+Cnx1sOJEyeA+DfC1HQ8l1xyib3RTsCV+cLEJiHkR0dHsj/ecS2Pl79Kw0HH8kbBxpteOHo7n6MBK2w2DtrU8xGCb+0l2XOf+1y2CJ4vE9zecMMNfiDyGaxjuH3Fnw94XjZkb6CbzH7hC1/oIdfb/1PbP0/nE6sIJeoNNJm5DX+UVDTzjKKjKmVTSWmbQRgPsZcsZLBMFhdutA1T1W5hEzLKOWaxxuArAUQw64uLDoenIogLHBERffzmMmrvIYIolKDILrU6OtNKx6SZIu6Fn1HIVOVY+Cj0cRu18WgoEMSl0DDEIpjRCogd3UE4U9DZEEOI1yxuB/pndDPH9pCFM1sFNvgaOhydyEbDAPZfiVsRgsLJ97rXvXgeJvGBMv2ABIUpQbGmHKvjBF6icGDTcQVb13TCUGw1L0r8xglO2XUAClT4i3mygyfMuQoTQKHxt3K2xsxe+uiEfwBVbC3ngEc4NJ8VubK61Y14whQdJkEyReKLOZxKGYrklIot4GDqXbclEjRaaWpL+Cct3QU1Q19Z1k1vu37a056m1GaF+45KUlrh9l4UlptV0ffdPr3xC5401ZENPMIqPIZ0DEllxz110D8sjsGQ/22rx0aneLBGNTU3zvXAOzAJyIAyuI0TwSaWdh3pSBmLR99ecvr0aZuTku1/neOAo45/3/d9n1v/V0k54Tkuy0zm2Ve85Y85XqDbaTnBlmZGSvKAjj8nWf2dXzSnp6YA2d78s0rxM4U1dNeBgTO3bCeySZ9bb/UvwrvVGEhbB20bp5WPwZO1msLn9hIMNmPbmI2W/30bx+e84R0OurkcgnD64citzduvkQqHTS5vHon3a4gZIN1cE6C8y3KmtuPKeJiuEkzK8bY8sbToI7tUAacBhlAGg5puZ6XGZjXf7W6iQD0mAGRgtqv8sTttlSRTECGriZfY+bkyD0Z2a9t5tiv4AiF7lR6uAAWQcyjMV06scgOsLZP+sneR+UA05oM1kSjQgVYWETPjnBWAMEnBpLM+b/CVjgJqrujpViebh76OW/OSCjFB2eTc9hkoPIhAOJnVOPnfqKFFLfbSkGJe0wuxgH76p3+6YxOihGS7JQbZFCj4OTZXt+bSj1YBoRIiNFI4Wc0QDEoNfHahhJ9viehjYCZ8fQ1PXdHxoBgFq6PpOPXT06jMFyyUatEKQlF2dfBg1soJki0TIe6SWkRfXNajCiMVXG9X3HIoT1n8iDLbrZB4VEmWO5hbPHzhlISZx8XMLZ9KC27SIeiljWJqzdCe1wC6hSl7UIQEbMKs+EpQPm09GE/NW85lxZbnPiB2XedWp1HFnbiT7LXXXqtDAY62zpV7HWorBFTFRlsaSiDmcILnekrSzdHeVQ4xXBlSHeb1mR8FrlkzfuV75jOfqaJlXsQY3po/D4WTwgRdPYJYPGxUzZ/znOe84AUvYJci5dWEAOnjSTXhf7CKHecocEKgniqaeHhSaCwYt+jSgO2KPmcqdtxlLv6Z16odBcg6Utwu0Ba53PAMdPXVV1PerVXk71+cNz38iR33UsZW5wFLMlDD39xTWNZ56YlfvKQWG+03mB1+aSUibEF57GMfa3sgiwjfRPCNSlTbFU2I2wxYzVghBoWfgW7965JeJ9rOvWejsEl9NOnhjzm2EN6AGdjWwF39BNGVCCeYiPP51hb1wAc+0KIgmLwN5y6cXXRSedKivIUjkVQQHrZLiZRsNxGdnV2sBc7nMecqM3pHx6uSwQ96hvydh1uzyH+PqmLBLXAI8jx3EYmqrj2q4gkbb4tgXopyrOWGog7IKMmfLKKVZOMZ4JSx3Kit44BFZzhCKRZWn0Cg61gvVKKhkDmfyQEmU5WHiWOG6Rkdv9ndKkq2cIYQ4SvhYHtSXVLFNI4SYjw0FHe3MTyGdBoeRxWzidhoRtPBoQmK0WO2xWXd3NFMgFVnHnRrEfIO5zKb9xksNZ2AXFkuITjCyw1KG7VarB90oVL0+begxFKqCSdAJZWvLVFhyA6pxBA0IzbhhFYO7fECPaO8DmTxE2nIkonaygQKHLCu2XISPHNp/I6ZLaoJ12POqqMwogygtt8YYDoGxroerQY8NOQr+NTQqAqNPy1OffuKrG1FEN3u9QNM+mP2xAONiBJsB/IhJlmrFDJDRCRTWwCMUkYze4jMT+oLAQM5TSh1IPAeb2AWGmrjN9deraJ8zNHnUrKkLFpBgWxGkTKLZ74wUFJSOSObAicRnNank7vSgOLWFhUbU8JsA2oTcblHf8rLIibjwY9H3rKUY93aREFZaXlloZOUpgAfYiBFSSIKB914SaqomDS58soro38boJn+wHwWAREmyaaq8iQPEDephtl1Bm08RBlSWUHUtv0omt4N4hSvPMFYtgq0cm9SCSyCXMQ5npWtOxSPoXC8k/QkLRwyxP8eiCsAEnG4hlaGMGGsxi4KKcjCIb7mFbhnPOMZfp9juCVGT7op3KqqiAMRVszMsaGq+5Sknpjm5KFcyA31RMg0mxNPUpKq1113nU0a0XR+i4YPzebEHM9YpsApvm75BD+jXM1FB0oichdxaP6BPBMx08Puox71qHYxLo0OHYhQSZRvvvlmRrmlyS53LaKvKetUoYEAWxJMZbl05Agpzk6vKQSexzmFxrwgMESc6TRnBBVKQtBSZVFWXEFZITGSB1M7lFSelYg22ITH4sFpZ5NhyST+TSfXecvDHE6q0lAtVuYc0BB1qEcHK1Yg5RkFdJigYDnQEWejCoJZBVEHDVHMpLKQRRgQcWKzLLFBm1dpchQOugBD0PcwAcc/7iyDUcyojkwK7iICESAh0PhZ0YTA7dTmB9pyhTBBRgTCdm7nZ+vK6f6mm26yljBTgP8R+Q2z6AiN3ZrHJL1F5UyEjRPMSNVd+gzorNM4M4aDxeA2C8nUfCs05qK8xc8zKETkCREq4VEO5BUNrVJVG12SMIThNBRiurFRKNmLjc6uVrKAql9mpLDNTNJC8LxFEIjUZY4zncMHcfNqFNDyV8oY6Gkn4DrgshcU3QY2zt+aWqMYixQv7vU7OWMhr0CruehPeSrRR8QvvfRSxQu4uRgoxPJBAnC4wqrvj+xZx1GsQ1E3s+sjSkIN4Nb0zbnS8YUgn9stPLtQFWxN3dkRZYqJAm9r/KwcSyTrSyk3i1C6VWewyQHmoHhJRW0RZIVNlxqyUXHH4GEOJyiqQoPPHJz59wMQJTPdqCqduEKlwszz7EIEYt7YCJYC+hiIcIIVYVS20CeFfoXJdADL23ERv6HIahR0xFwzuvq6uKxnJnPLEgpJZabyjr4/l+Igh3SWWy0C4AMJ4Udx9pEimL/gC77AkZZDrZO8yX3Ywx5mwQgPfr7zhwlu4biKIigBEEXz4rFnWK4Wntul9sMkIk46nsp96+bfoBC8hNOZRXIYVbasVZHjaB2Zob6LIrY0StKKoOTTN2pLsGC0JDe6dOcQ/EuVZBcpV8lEGV5yduABU9Akyhut1oMPkCCRIOjQEz5/qh063jCogA7vzHQM8TrCmrcqrBNeYiw6c/iNc+xbwkGWoCYjhYm4kqTS6ZuOJ01RSu7tEIm7wumW850AzKJvOVnb/Myx2DhEHbFWOYcmOFmBDb9iJC4qLIoaLd+8IlPTma9vlCfpjJkhTnYKBOuc0BGlH3vZCN8tZBkoAaIS6xxZZDKHm5FD+IEsSxMCV41gckB/r9XhoYyGmWm8x1LaQkahTEZ70MbT0ROCVQaWLTo2rZggP/EjCp95bY1yA9HUiJKfE5hGnCYKpSceo9RQJdG5lzdweqPlt6goGQX092pbDDTEz/PKBSXV9yjjEK0QGxU1c0kDRYZjUUSQOPVw0llKkEoSyhM81KOJhYkNOB5X4Pgd1RUicxl1FLCDkmVyeMQUg3MJBH1XKUcBsvzjEEBPswOXY9B0yhD9HsPD5loNsheAlh4KzE6QEt/VWVPW4y9+eeQjHwlXKvu38cqDfGRdffmXf7kl8fCHP1xlRxEPWcVT1pJ/XFi6SBSVVMY4TLGNuCdrDBanzMPgl6gcx+BgYzNvipxnKFGJW2NV9NllYdEjEsdJVtEyiw3/CU94Ql6kWtVqWWGClbv4aYUTvSYChUINtlOJvRaMvE+aGpX9Ne+ijumIu3IacCvHE4PcBeKWAmmFiVMfsSiTndgezosvvph61Pa/y3Eis0JYbSLrh8O9LTWjQ3qKoOLF4cQf8IAHMFnI+MpLM/mt8AmWMEl9ahCX9zJBsCyVSTUGxKhNNo33NF5lr3OTJWeVstqiRTE7NUxqyanpwqf6mNqaxykE5o3TMFPAj8M6rMNPT3UBgyVtCgvJjLECptVrFszMNyOTXeEThOxKMNXEZiDQWeqJPr/pSKeTJ0/SYWtB119jUaCipk+QDhSwwk+cOGFPogMrwmO0Ijjw4cwtWcge8FnNBBtGyp+/W7YjWk3OCuySCW4tOgxyWP1ijtWabZLJ8l9KkKVeDLQuaJtYSB6qUiMWuc6olKHipKHGn0zmSfnj3KYymDrP8aZmeJ4MnDacCDlZElI1tV4hlhiUoQNmyigjZiEibx0f1Ra3El4+W+yM1SjAUrNY8kYlkmruBIMfvlSx03vJRjejPJNTvELkAMRXpJxgOCEMeNJi19m76f+2/iEeTbBWfHtApqEb6uKyTpVow5uVdnwq3hYVZOki0d1yH8e50piuPBV+t2SduG0MQXMlqF5gwAnH1T9Un75kqrlQ8ECICKl0XA01du3shtMU4k03HVkuWqaAIPvhBxZFYwgRbOV3ozg1Q+nriD0nIMow/FpAXJe2LfbGFrCOLdJUxfQq0HdaEivOMZop+sHBErFir7jiCs7X9zuYJ2uzqFz+9p2f8SQEKJa3xWMJqXrm5SWc+DlNZvOMZWNL9gyuAnr3qkDYDGzkGDJXv244I8KHyutjHvOYRzziESFyO5V41YyJgk5WO7q+q9sUWQyUJIjfVZnISZz+rPMRqr/7wKke+adCrFVHQmULgkdA/NCIe0nl8IGuTx9LHdujH/1orlPlvW+xK1CSA20MjquKo3OfI06g0DVo8y08rNaSWqZT4LjUrT8+9EmMiYDgxDOPtmvUYvT6jh/svg6qYsp8FqVAu1XxRVmI1TJboFu2c4iapQhSSTWULVTiCoGWivTBAEGS8KSamNmjp6FdyhQ9nK4oruqpbYN6+mYxhQSzPDlZiZdXdKOA6cRRx5BZLFW39QGFKg/Nfo8o+h4f7RPqD0yCbhENyRCA8NkVVfFYvMq6nczscBjFdlDcLklklxLPdmx+aRAUCqj+WYkVGhNVvywdd7AVpw4dKKMSsos4ylhkBWVxWW/n3ijYfG+nTwP6yQY2ywaO0I/70LfsZ/ROv6WQxZxrFhgQHfHjUyAZJdLjvoEvSBGP7wy5FV2Y0VbkzNVqWLMg4o/ViFGvBUeMYGBbkJZtaT82yjPp6HQg2yxIICtsb6eWkZYQEHrqeJuhzw+sSKTiJSIYrFiHx6IgOsvjVHFK6rLLLrPxeNdh9Ou//uuVUR1RI564u+1pcSNBi9AsxEkhmkjTDyAGt6qVIc7RR0/4OEofJVBEOE2UFaBooqMoW9sMV6YVtfvd737YCKpieMLm7aKdKbOjGPVP3qcicAURfVOblDJ5OlECFPfoSTA66PQ3msOUhKaDJuc1RLb0g4w52eglJ928VQNOMSbwXrkORWMmumbGNP2sPqPM1KeJjin0FcGnPe1p6pGjWHyVqTGPdRhTwuYa62wnX/EVX2GjRdlqsfn7Vea7jWL2IfVdrtp9T2x/JsVG1i7LQB3vP9ViexJLba7KhWOQnYwnIUhXIVPHnfdVJOsIuIc5soz1fEBW1mGwBUoYR3uv+BmL4kcym0rm4kMiCrqdz5lmbFc/JYbnykzIrsTZReF+nF2ci8t6AfEIVWimU0QdFJ4Vby7goxQjPMkMeuPRd404fh50rdv0macZQpeFmSU87XT9fbA1KTUopmZ5FhNUqWkiKwoxU7iWkvqZJR04gcrVENlYh4HORa/OUiXDTxygL+po5RwX5BYfW+cUgYr+4sJS/tSChh4T3PIMultXbk+eoaO0sQPoNoDeUOs7ZH3v936vhedUS7ZTMSZghpMz7VkPAAALs0lEQVRGSoszdTJj0LYjm9NNWV39MORKBGfQpB9maJRni2cyTzz8ie4WG1VxRgGcabI3ULk1S04nbkk5vhHUz+y2SX3RcQWlHhkl7ranBQonWVcF12sxZ2fP+NSoUR0MdduDHEzblY4HXw9bFE7IQPFJfMszYA25ygr0CMaN8YMqOYiIOovZP76tvntkUQejW7/hZQIRXnVgVyuBuNVo6BoNozM91WLuxaxPYX1HdaHU+M2eraxHE6OeGnnSDq2y28KvuuoqRLCO4TqW/Bd90RfZ9T2ZeV3jlZft2YwpVnTzEbB8vvHGG81lq8BA9nWve52HM7F27LANYCNCZ82oW52ya6ZTzDr2DCVIY47ZOxFmwDO0vqxvrGnM0I+6XCwjudUhLvth4mQUTxyRflKHHkmaiJ9Ra3s6QBGDsqGmKMqiDnEzUsCVYgqQvUeW5MRKB3OFIerhD351arpQQKFgzmagj56h4lzaiRNcgScR/STlOdGpgarAw7AUVnYCjKxOjkKMDQ5Y4IWZ2d3GwFhEmegTHEQNpytPem3i+ENJJy8UsrkW5kwnWhWajlhQOJ2MtoDopUPJYqDegI2BGDAT0Sx7L5E8m+edG+YysGYJAmYd4jE5IO1coeAJA/7UxMxlNAgYehpmIhAcPz2ZAcnWmGzsQZjkiXVRm0vxxEVhRomBbvHooxAJfzjdolexw5nQ2C1UQznDmQ7FNiFSNd0i22Fmlja9owYd4gG3Rk0RnrLl6OgoytNQU2ojSAEdShJX9J3H7b4o6IjxNkF9fxyQTHOwQ68hUxhVxEKEY3Yv7jWCGjpi+iuucbJr8oeS0Rwleq7AbEXWlPUyvjotIv/awB//+MfbGNVNn8fEBswtmz6Kxjuu4SmG3LpuWc6U48KJSDEv6iQYYP0E5I9xvDQ4efJkqREvB7BUMjo/RatPyxz952XHo5GCmc597nMfkfZGDzL1tHaKsfgkBUJVduJxAiLmmImSW9cyZ6A/QRTVhw6RCiwHKpR+acwzr3MHuoZtUpldRPik6ElQp3SrDgYtUxcxSoaYfhAwYA4bNEOy8Wu/9mt9ke38FRMiFbZwlojbSOHRiX/0tdil0xKlPUrUi/IQOhtBnK5cB5Mz/UDtbIQYfQLbiVZspBLKiGeW6uuEE53CGr/pazVvciZsQTOqwwOOGo7GPKnSBSpDNftMp/gzUQRDLCm3LWD10eN2CiOGv4i5LXoiZaVHJKmb9AhPGRhHIeoAAU5WX9Nxa4pixhBx9MzYfyUYNCL08ZDhenR0FEBzpdMPOMm5WK24G5ZOIabvqlFL8+CmH7Z09NFLpDo1WswoaeU1t8Uftva2p79V6g1nKN70BOcjgeuuu+706dMQzFXTpXNWi9tM3c5VSuJPvx1d3c/sURiIn+M87Xr6k2EyYDVssjOq5hoomrvVCjm36EVpO3DcUg8DfVw9n/nXF6655hq/LEVth52wtYI9feIRBKsRSYdKuR2AIGYobOGBkNtWCrLl7RWKH4cdjuBgQ8RTmCVVmC2DUXQNP3oQihhKQS3qbKvH5nDjkH7FFVd8/ud/vl81lPiAQF4NDrNko7xbxHKRKdxmonJIbETUqVGCRUfkST9rX3XVVV7vhKcmClr/lXiQ0wka8QDW0AA/uuVqiFQJRkRyXnLJJV67eaWOgoeBYMtM/CWeIaMoYUg/Twb6WvEMNMlo5zWaiHgAbd7eHHjG9SAShLKiE3CSbc1pHVDNXZ1CR9FoLy/Zr4VSDCWOXv12tCW2POm3owOp+VvivEkx8VbK8wGT+u4lWivYztjSe/qlYZgHtz0IeHjMlWzEfRThb228tpajHhXjz06osAWnYFti4YQnt+HUb4kZ4r3/397dJLWuA1EA3spjLQxZBXuAAQMGTJizAKrYA/u5a7kfOVVduiHh2YkSqyh5oGrL+jk6rW7JkpxUFoKU+r0zfw8PDw5U2Io0o9FNGUCobhP/r/y9uu8xCvkh8uCj4ATs8/Pz7e3NkTieyOqq+NiYXN8zJqbaW0Ja0aZv5WPwkutYqARMqoJtc+jv7++ORpgLY/IHXRwrrY1XsktMQkI1pGLa9Aef7qV0S7nezP7bzTEN6nlTqbxtgcvlquWYUPFVUWIqXl3k3AoZi49gbAPoosmSR0kWYInZe+pRVdEmLrmqSCFrw2TXIanbuqVRPKcYlCOyBo+1xbbp/7HS9sHJMkZoGpVAt2PdyQV2yYjKWE7cDYPJcWy3QOZpl4p6FQKt4cfQaIuPso3nwUnuVcX55UCIQA7d6AiY4cfSMJzi03fPr+LMEvTG8owculsHogEGO0zW0zMrWptdvakaUVAJ2TOTcYQDQrum1naTYG3Jl04PlXdxh0/8kpoP+pApBn7XpateXj79QmWV1WuuDUkdcnneS6cEzJWpj23YQBWj3l4c9nfrGDQVMpJbtnbyNHAvzdTC8jEopdCcyPEGMoTmGmJ6EboQyQ/JCgkjd3nbFTpjbtvHIy7gh7zXfFQd0e9Zpo9CSNABhIPonWYzt6Ble+NOXDi1xhPV6FhsX5O6qgtLuRJjaumnyoyRUBWwVq6M2wo6IV/p9zW98jpvjkyt2HaY3CMEacYe51l1zo+PD1u7ewm2ukVUNEvQOe1I+SUykyG3IAkjnAmvv4/gg0yE7+/vn5+fOfdx3BCmYiEgMXLu0veuLy8vNzc3IfRMKrtkLxsGMrLNertSvlJxOxqZWWfL8iVKOU0HJIJzEKiMhPHEVLhLc0xqgo0PEnYxodP0jqXKCIYLmYYcnz4ZF6k7hzcqzVAC6uzrhkb2ri3wuwWybdeGmOExtzCiC33TZxq3IZi9qnXIcAWkhQ3d8s/uBx46snfi2voe0PY2BmN2SYhFDaJpYOgYVILPE/yTkVu7Z952CShuW7GhHCQUT0CdTyScsXWqN10h4Ybw2qqtZSHTCZO7uztMOukI3lAIgeEuYcYkB+QMnKNZlq0pPZFtc64sl12EMfBcyPRi7jeLcJsE6QZXxnasuoABLEfXLRZJ6daVfks4lvea8SiFxABpF9qywSCowkDLVTykebAzx56CHRrP5Kq/WzdCus6EdYns8enhDrN2pdpaRlM8bAC7qNzvo7VQR5BDlxk6MFzk09PTCKgOYgCSqbhY+OPjo49QOHf404SDWa4cCUk8u1ODr6+vXh+99zCiRAIDvHAEwDDsuPyam/vg1iy4fgJkEITRHZCmlRTNXfqAqJjM021D2IKHwHaM5RaLfAoLFS/fRcsj+t9tSZ+1/z4GmAqDcTTCD89552VI7IpRaekgBh9jDiRHMPmjyBDGk46jFHhct7e3DhQZewyW42ArJNgDzA8O0rtDhG5hrqcbCvBU38OeL7mMjl5zM/noBfKru2/YyI5VL9fc8pQd4W1e1PJWL0+5eaOWANDDy1r4dLfegZgWo4pcT5eUtpyc5SnVK3HSA2OaKSaw4XQlwSqcS9pyQhog5bIbGUgGSKggFAZ/wiUlL0+5pLS9NAqvAzDUzWlS9+UIXN6WpIxyrRG5LGdZE06fjK6LzL1GHbw9WPWcrR/kakb+HgYYiYshaRLbTsNiDGxpnHYWTrYdsxdTaAfBGd7QSPiOcxCQgcGVu4yRoA6l6HTFeHAIvVXY/sltLwKnW+/F5CxnUAZYtQs4XpJ5kwnlksYBHZDB0xp5Gz8IWvCgEmIy8ITkuh0BZ3QdRQfwCKiCIURlsPHGU8NkL4TTrfdicpYzKAM7b/M17c0sKbYUNySyhG3RAxkwQjKoPFEbsy28qj3+sbAVt0kQF1+JNxQAi2aFQRuGN4RUVYe0ApY3MyA7Ipxuvdiewu9koKwl5p1GVmQJmzcekgJTUCtmc3gFoCCV4FErV8pthUAaH1jpuiNd/T9H6ghuFjUZmAxMBiYDaxmYbn0tYzP9ZGAyMBkYmoHp1odWzwQ3GZgMTAbWMjDd+lrGZvrJwGRgMjA0A9OtD62eCW4yMBmYDKxlYLr1tYzN9JOBycBkYGgG/gKO4i3vy3VPVgAAAABJRU5ErkJggg==