- June 5 - 9. Stats Camp, Albuquerque, New Mexico (USA). Taught by Prof. John Kruschke.
- June 12 - 16. Global School for Empirical Research Methods, St. Gallen, Switzerland. Taught by Prof. Michael Kalish
- June 20 -23. Interuniversity Consortium for Political and Social Research (ICPSR), Ann Arbor, Michigan (USA). Taught by Prof. John Kruschke.
Sunday, April 16, 2017
Bayesian workshops, June 2017
Upcoming multi-day workshops in doing Bayesian data analysis (2017):
Wednesday, April 12, 2017
New article: Bayesian for newcomers
Just published: Bayesian data analysis for newcomers.
Abstract: This article explains the foundational concepts of Bayesian data analysis using virtually no mathematical notation. Bayesian ideas already match your intuitions from everyday reasoning and from traditional data analysis. Simple examples of Bayesian data analysis are presented, that illustrate how the information delivered by a Bayesian analysis can be directly interpreted. Bayesian approaches to null-value assessment are discussed. The article clarifies misconceptions about Bayesian methods that newcomers might have acquired elsewhere. We discuss prior distributions and explain how they are not a liability but an important asset. We discuss the relation of Bayesian data analysis to Bayesian models of mind, and we briefly discuss what methodological problems Bayesian data analysis is not meant to solve. After you have read this article, you should have a clear sense of how Bayesian data analysis works and the sort of information it delivers, and why that information is so intuitive and useful for drawing conclusions from data.
Published version at http://link.springer.com/article/10.3758/s13423-017-1272-1.
Accepted manuscript available at https://osf.io/preprints/psyarxiv/nqfr5.
View only: http://rdcu.be/rcot .
Saturday, April 8, 2017
Trade-off of between-group and within-group variance (and implosive shrinkage)
Background: Consider data that would traditionally be analyzed as single-factor ANOVA; that is, a continuous metric predicted variable, \(y\), and a nominal predictor, "Group." In particular, consider the data plotted as red dots here:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABLAAAAJYCAIAAAD9hIhNAAAgAElEQVR4nOyd2ZFbO6+FHZcDcirn1dE4jD8Bh3CDwH1oW6aIgRMAQtJa5XKpt7Y2P2EkWkN/IwiCIAiCIAiCIOgj9e02AARBEARBEARBEHRHGAghCIIgCIIgCII+VBgIIQiCIAiCIAiCPlQYCCEIgiAIgiAIgj5UGAghCIIgCIIgCII+VBgIIQiCIAiCIAiCPlQYCCEIgiAIgiAIgj5UGAghCIIgCIIgCII+VBgIIQiCIAiCIAiCPlQYCCEIgiAIgiAIgj5UGAghCIIgCIIgCII+VBgIIQiCIAiCIAiCPlQYCCEIgiAIgiAIgj5UGAghCIIgCIIgCII+VBgIIQiCIAiCIAiCPlQYCCEIgiAIgiAIgj5UGAghCPoM/f75/ZuuH79u87no148/z+f7z9+jc/8ZZOvJP5aSNLF8Wa3Y0Gupqzb8R/EvECKMkGjYh3ayPplTWO4wNSEIglaFgRCCoM+QvTX02H39/vnj9hxk7WV7vMiBMG07HWDzKgNhmg2DBkLmmnoDoRz9Ec/dEAZCCILuCwMhBEGfoYmt4f4G7M/Fr78wpuxlRbzogTDaHFE2rzQQpoSU/0Aou6boQMgSIOK5G8JACEHQfWEghCDoM6Rvsp42jTubwBs73QXZU+LurlN70q01A+1R3OZzumzDnsJp/KjkmsCsF+Xz3DEQQhCULAyEEAR9huxNVvNazfoerNIOWFDuQEj+E8bi8q+jyzYMWqqSawKzXhQGQgiCXlIYCCEI+gwNNlnNCwbd/ex9fe394pv+njaD5sO55B3lPzr7cP9oC+/ZIM/vrZvYzhpbX4VW4Bl8q8euzbs3CjLCx/3ff/5urvZ1nrWnH/KbVz6y4fjKo2ctPYcfv5bfMtq/C7M9w3SNHpyTH+ObfIIy7HzWa899PyxX481ITUyIEARFCAMhBEGfodFv3f9t1Jp9oPohr7/XsIeT4cMtjuYc5S2EfPDaGwhlDfbbq69uqcs9P974WN2czbV1WpPL5/w5Y/iCqsVvXvnIhvaVZ561bd3nsxUy7fEs/sw7+dkapjQjmU+w107WS8/9LCxX461J7O/CIzEUQhDkLQyEEAR9hkZbQ+HFAj6byVvY0e558PBOwkTIXtTR1hVJZiYccedtbjzXPv8mbLylhdqXUviTn3hS3MKS383XXGwb2vyLr+as2NC68tyzFt8hOR1a4hMWXwsevsImmFAe143EmXxX5UbWW5ybYbkab3Jq+r/BFYIg6I8wEEIQ9Bla3xr+3YANN3zyLnD64b3YRNi99sAO2y9uTAyEO9+yOPENmXzOG60kvTw6WL6FHAwY9ixnXHmaf3qc7h6/ZMP+yrPPWvl1hDhnWEZQZh1joFoyLD82+wQF+QyEh2F5EG/P5+OzhRAEBQkDIQRBn6GdreGTnnfv+2Pe8Mx+lHx8kf2vp2+0N1+2WBoIxxv34fMRZG3xtaX4e+uGn4QTn+lgbtM/5CheeZ7fvvKJDWc+mGk/a/VZzH2GcH4YWRgIBXghrGfdKsj5FcKHlsJyNd7WXAVBEHQuDIQQBH2Gtj5DqH/ObmognHu4zvL95+9/F/nx6+/xp8O7L2BO7Dq3B8LpCdN6NWj9muM/Osc+jze1QV/g9xsI9Vgy3l9qPeuJKF1+N7L9rKbCoJv2hLCedqsgr88QnoSl40CIlwghCIoRBkIIgj5D6983KL2mt/GW0eHDBbUT4Z/bP379O/7jl/KGuRsD4XjyWRkIu8PPkj4PdzYQCrHgNBDO7NgXbDgzJNjP2msg9H2FsFn+6Rs1d9y6YjV26fG3jO6G5XK8YSCEIChbGAghCPoM2Xsp/kEq+bf60xPXwsMl/T3xx6/2VcF/7x79/e8E8WmUGggX3nJprPN8mm3zk++edHrL6IWB0F6y5ltG6XkilML6ZApazXqLU3vo8EO8BwPh1ru5IQiCVoWBEIKgz5CxKXva3JnfZDE/5i08XNTjNcLv7ecGHxPh9+/s4hrJ/YFw/UtlxvvghS+VWRxunL5UJm0gnH7Wymt84lQ0b4T5F1T1Z/v4pcdP8dccs09wyWpy1tvPaDMsD+Jt4ToQBEH7wkAIQdBnaPzGs+eNlrApa7eQozlk4eGynt9xyr/xQtwXLoxJmQOh+Fkt4e16ykZ44dVAPvTMfZHl6InN8d8ZCGef9cDi3wYDof0FLFvjs/AERvfb3zxqWM3S9HcQbYblwUAoDvQTby6FIAhaEQZCCII+QxNbQ/WtdKOT+zPbz/vNrSWofbz0hjbpIjOfZmRf35ExEE5/LYdhNftE+ZOfsq3WB8JZ/jsD4dyz1p7Evz9+Pvwcneod7TXH9k7r2Q5/WTL5BHWrqZpKorOw3B4Ixb9LP/HLHgiCoDVhIIQg6DNkbw2V7ZTwAspj/2Z8DYrw0oL9cFHSKwLKC1PsIdrHtJo7kwdCgUN7qOAqyVqyzaULzL3JcuKJDflvDYQC3FRMf//5W4xJg4x5R1hHdI35bGfeTT35BE3YiQvMJZF6AeG57w+EP38rLxeyxTAQQhB0IAyEEARBEARBEARBHyoMhBAEQRAEQRAEQR8qDIQQBEEQBEEQBEEfKgyEEARBEARBEARBHyoMhBAEQRAEQRAEQR8qDIQQBEEQBEEQBEEfKgyEEARBEARBEARBHyoMhBAEQRAEQRAEQR8qDIQQBEEQBEEQBEEfKgyEEARBEARBEARBHyoMhBAEQRAEQRAEQR8qDIQQBEEQBEEQBEEfKgyEEARBEARBEARBHyoMhBAEQRAEQRAEQR+q9xwIv0EQBEEQBEEQBH22pkan6NnsiiafPARBEARBEARB0FsKAyEEQRAEQRAEQdCHCgMhBEEQBEEQBEHQhwoDIQRBEARBEARB0IcKAyEEQRAEQRAEQdCHCgMhBEEQBEEQBEHQhwoDIQRBEARBEARB0IcKAyEEQRAEQRAEQdCHCgMhBEEQBEEQBEHQhwoDIQRBEARBEARB0IcKAyEEQRAEQRAEQdCHCgMhBEEQBEEQBEHQhwoDIQRBEARBEARB0IcKAyEEQRAEQRAEQdCHCgMhBEEQBEEQBEHQhwoDIQRBEARBEARB0IcKAyEEQRAEQRAEQdCHCgMhBEEQBEEQBEHQhwoDIQRBEARBEARB0IcKAyEEQRAEQRAEQdCHCgMhBEEQBEEQBEHQhwoDIQRBEARBEARB0IcKAyEEQRAEQRAEQdCHCgMhBEEQBEEQBEHQhwoDIQRBEARBEARB0IfqlQbCXz++Kfrxa+uCGAghCIIgCIIgCPpkvcRAqE+CZ2MhBkIIgiAIgiAIgj5ZLzAQ/h0HjXlv4hRJGAghCIIgCIIg6P303//+7zbCy6j+QPj75/dv377//D047WsmXJsIMRBCEARBEARB0PsJA+G86g+Ev37MDXqz5zXCQAhBEARBEARB7ycMhPN6kYFwPOnhFUIIgiAIgiAIgogwEK6o/kD49wOC1rtG8RlCCIIgCIIgCIL+CAPhvF5gIJz+ltHxBw07YSCEIAiCIAiCoDcTpsElvcRA+CV9LFyeBP8IAyEEQRAEQRAEvZkwEC7phQZCf2EghCAIgiAIgqA3EwbCJWEghCAIgiAIgiDofYSBcEkvPBC2byHde9MoBkIIgiAIghKE7SkEZQoZt6QXGQh///z+d/b7+iZR4QOF60MhBkIIgiAIghKE7SkEZapmxtWkotcYCJtp8M9M+PPn9+cB8OuU1ZEQAyEEQRAEQQkquxGEoLdUzYyrSUWvMBD2s96f1wb7Pzn4u58RJ4SBEIIgCIKgBJXdCELQ+6lsupUFqz8Q/vrRD3r8yN+jzZg49ZcLMRBCEARBEBSssrtACHpLlc24smCvOBASEf3+3R35eiGxf93QFgZCCIIgCHo/Vdt1VeOBoPdW2YwrC1Z/IPzzHlF71PvzMcO1eRADIQRBEAS9oartuqrxQNB7q2zGlQV7gYGw+VIZaeCz7zWFgRCCIAiC3kwFt1wFkaB5wX0vp5ou++9//1cTjF5jICQyvzOm+/DggjAQQhAEQdCbqeCWqyASNCn47uVU1mUYCIsKAyEEQRAEvZkKbrkKIkGTgu9eTmVdhoGwqDAQQhAEQdCbqdqWqxoPtCS47+VU1mUYCIsKAyEEQRAEvZmqbbmq8UBLgvteTmVdhoGwqDAQQhAEQdCbqdqWqxoPtCS47+VU1mUYCIsKAyEEQRAEvZmqbbmq8UBLgvteTmVdhoHwRF9/hnBS+MP0EARBEPTRqrblqsYDLQnuey1V9hcGwiP9+0ODGAghCIIgCNJVcL/1hVQQDBoKXns5lXXZ1zRYFu8FBkKiv0Oh/HcI94WBEIIgCILeSdX2Ww+eamDQjOC1eRWxVREMrsrTIL3MQEh/Z8KtP0CvCQMhBEEQBL2Tqm25MBC+tOC1eRWxVREMLrxC6Cb3kRADIQRBEAS9k6rttzAQvrTgtXlVsFXHUAHpIQyEdYWBEIIgCIIOVWqLUwqG8AHCFxccN68KtsJAuC0MhBAEQRAEbara/qYmTzUqaFJw3KSKGKrsQPiYBusgdcJACEEQBEHQpkrtb0rBEN4v+uKC1+ZVxFYYCLeFgRCCIAiCoE2V2t+UgiEMhC8ueG1eRUad4gMhVULqhIEQgiAIgqBNldrflIIhDITrKmWoUjDFVXAgLIL0JbxCWFoYCCEIgiDoRKX2N6VgCAPhukoZqhRMcVUYdfjLg9eRHsJAWFoYCCEIgiDoRKX2NzVhSlEVVylbwYPzqjDqlB0I60+DhIHwNgIEQRAEvbBKbXFqwpSiKq5Stir+oa9SqjDtYCA8EQZCCIKgWFXuARB0olKxXQqGMBBuqY6t4L55FRl1ig+EVDuWMBBCEAQFqnIDgKBDlQrvUjCEiWJLdWwF982rwuglToPXqb6EgbC6MBBCEBStyg0Agg5VKrxLwRAmii3VsRXcN68KoxcGwkNhIIQgCApU5QYAQYcqFd5lYUqBVVYpQ7UDYSmwL5VCqmCisgNh+wHCCjyaMBBCEAQFqnIDgKBDlQrvmjB4oWlepXbMj5d0SlE9VAqpgomKD4RUw0qGMBBCEAQFqnIDgKBD1QnvOiRfwkC4oVI75sqb+FJIFUYvvnoFqpaEinmNCwMhBEFQoIr3AAjaVqnYLgVDGAi3VGQHT3i/6IoqjF7ay4MVDIWB8AWEgRCCTlS8uhURrAS9q0rFdlkYDITzKrKDp1cYCOtQVYDBQHguDIQQBG2qeHUroppWqkkFvZZKRVFZmJfYCxZRkR08PXutCFKrOoaiGgNP2YGQf6PMdSRNGAghCNpU2bpWR2VNVBYMeiGViiK+I7xF0q6OlweXVGEH/yUMhPO6PuoYHyC8biX+jTLXkTRhIIQgaFNl61od1TRRhTYJvYHqRJG4I7xC0q2OgXBepbbL7Sa+CFKrUlTXRx3j5cHrVsJA+BrCQAhBJypY16ohVeP5UoU2Ce2pjuPqkFDVlwcJA+GKStWlbhNfTXXAKoxerzIQPo48nfHt29O/e8JACEHQjq7XWVHVqKrxfKkmFTSjOr6rQ0IYCN9CFbbvX2q9VgSpUx2q66NX8feLtjztwT/iY8i9wQQDIQRBO7peakVVo6rG86WaVAVV0FB1kOqQUNWBUJwMIU0VdvBf4h8gLAL2pTqGogLvhCw+EPKXmv9RaTPIpdkEAyEEQTu6XmpFVaOqxvOlmlQFVdBQdZAqkxR5A1t3o47FaqrCDv5L3ShYhOqhUkjizJMMwH98gYHQHkBujCcYCCEI2tH1UiuqFFUpmFY1wQpSAclQZZIib2DDQLikCjv4L3Wb+CJUDxWZdr5UcCCs+QphdwQDYS1hIISgbV0vtaJKUZWCaVUTrCAVkAxVJqnw8iBhIFxRnZfj+N79OlKnItPOl+4OhPb7Re+aSHyb6J+DM9NH+oSCgRC6ryJ1DVpSQa9dbwCdSsG0qglWjaoaz5eKUBXB+NJLDISlLFZQRTbxpHyA8DpVqyKGogLT10sMhN1kiIGwojAQVlCFosZVk6qOatqnGlU1ni+BalI1kYpQ8bdp3SLhq9+1En9NgCrt4DvVQarzcpw4EN5F6lQnnK5PX2IhwkC4JwyE0GVVKGpcNanqqKZ9qlFV4/kSqCZVE6kIlfg62HWSx5FbSJpZKmxPRdVBKj4QXqd6qMi008LQvQgXfxlUJ5DUgZDwGcJiwkBYQdeTlqsgUjXVNFGRHvlQKZiHQDUpIBnCQDiE6V4qrFadvlQEqdTLceIm/irRkzAQtquLPBXGQi1+MBAWFQbCCqpQ1DoVKbWVVdM+pRxXh6RTkV1Xp2o8BCRd4tu0bgkD4YmKINUZCLWXB4sYiirxdHMXBkJOQs+J31sJf4ewjjAQVlCFutapSLWtrJr2KeW4OiSdKuy6uEr57ks1kW4jEGEgnCDhtwuGE9323UMVdvAPEv5/ESt9qeBAeMtQYiHqYEoPhCTNfvcGEwyE0GVVqGudilTbyiponwqbiVZ1SFqJb2KpoGpJVy2cvlSEh+/DKrwiZx9MkDEQ1tnEt6qDxF/YuUjC/y9ipS9VsNKDhJTJJ211kaejSkNqSYyBsD/727enf/eEgRC6rAp1rVNBpGoqaKJqO/g6JK2qWelLBalqIhXhqfMKYZ2XBzsYDIRLuvgqEychaRNfylBFkFpb5SNpuV9nIHzcFgkLCgMhdFMFd11Uj6egCpqoWizVIWlVZNfVqZrvqCpSEce9xECYT4WBcFtFBkL+8uB1pE51BkI+fd0dCMU58JaVtHiu4DhDGAihm6qZGwWRSqmmfart4OuQtKqw6+KqxkP1wokqIfEtTgWSx5ErhjKmQaq6ESyCJL6wc4uE/1/ESl/CQNgC8B87klIDYRHHGcJACN1UwdwoiFRNNe1TynF1SFpdfPHEVinffamgoYog8X3Y9R18d+QK0sxAmIw0VBGqCjv4Bwn/v9QmvtRASGzySUMSE1+jykFqSTAQhuvXj2+KfvzauuAHDoTVArFgbhREqqaC9qlWaotgdCo+ENahqrA35SriO3EgvPVreO1gPpIxEFarTg8VQeKb5iIkVLI0FQmnggMhH8MuDoScs4jjDL3EQKhPgmdjIQbC6yqYGwWRqkksdndVbQdfBKNTQcdRPd9RSSSqPRBWIKGrG0EMhOcY163Ef2V2HalVnVjSRq9bA6E2B16pA+LqdXxn6AUGwr/joDHvTZwiCQPhXRXZ33SqnK4VpO177qraDr4IRqdqVvpSQaqCSFSmYGIgtEn47ZobwSJIfAN9N5y0gfC6oTqYCpMzD+8cJDHxSXJWvokwEIbq98/v3759//l7cNrXTLg2EWIgvCvsul5RGAgnYQqqlJUeKkhVE6nCZkKcBm9RYSA8URGkUgNhN0hU28SXGgjpnpV4FeqoMBDuqf5A+OvH3KA3e14jDIR3VTM3MBDawkA4CVNNt/bKQ1Vrk10LvwvzUBEraQPhdZKWh9J9h4HQBaPIQMh5rluJ2ERRoQ7cMpQ4EGruS+DpYMQOUsd3hl5kIBxPeniFcEqlArFgbhREqqaCA2G3pbiNo76h5a4wEE6q7EBIBZC0gfDKxss4mIkkbk9bjGoR/qUiSEWmr7Z9iJv4fKROdWLp+uRcdiDkv93gdxUJJ1H1B8K/HxC03jWKzxDOqlQgFsyNgkjVVHC7XGSv/JCxQbyoUjPzQ91+4jYOUckIpzJB/hIDYTKS8TuyOpt4rgpIfAN9cSBsE7/Dq+A4Hku3qDqvUa6htPbKG9ytgVC7fd1xQ73AQDj9LaPjDxp2+rSBsFogFsyNyhlbBIl3zeuqNlSUHQi7GxVUzXdUEolqDIR86WrTYKmBkO+VS4VTBSRttLhF8rjd4dUxVAUkbRS8PhAS82OmiYxxtIjjhnqJgfBL+li4PAn+EQbCiyq766qG9FAFpG67UwGJ6sVSwYGw2ytTDSoq7Ls6SFRmY8oDGwMhsS2pwVMknKgMUjcQXkQSC6OK9O3b078svCJzBW8l1wdC3uDoRh3QxtEijhvqhQZCf2EgvCgxga+rINJDFZAwEE7C2EfyhYFwiYcqIREGwhFJy0O5vutKIucp4rtORZBuDRUaBukvD/6j4vvG+J1knYFQbCVpSFp71ajEh8Sx2XNpkaQzhIHwg1QqEDEQrqoCUsGB8Mou0OYZHslXNSt9qW3YRajKDoR0G0kM7GoD4eNGtYGQykT4l4rsTV9vINQ2jcGbyfFAmPWiZRfSnC0UiacYR7o7EGq3MRA66vfP7//eIip9d8zXCfiWUUulArFgbtTs3F8qwlNwu8x3Xdd5+JEKVGWnr1KloGCEEwbCaZgOLBnDGAhLhRPVSDpjtLhCQkoUjafBL4XtJ7Xpy1o6HsYyVBiSMRCKVPwhQeqevmaf7q5qeoWB8GkY1D43iIFwrFKBWLBNVuNpVYSq4HaZt4QKPPaRZHXNiYqFU528awGKIH2p/kCYSSWu1e238gdCY6taJ8IfqoBUaiDsbpAY3vcGQvHfYN0AHmP0mjLUMZKYcXUGQvFHDISe+vNlMs2sJ/2VCQyEA12v/q1q5kaFHqmpAlXN7XKpoULbNF+B4QzV8q6U74jtMCogfansQEg3YulVBsIrSDMqMqNy45QeCGe2izFbSmsgzJ1RtRlswVAHSDzFNCq6UQeGGBWSzlb9gfDXD/F7RP+8bPiYADEQDlQqEKttTL9UOV0rUBUcCKttuTAQLqmU74h19ApIJG65LmEUoRLXurgRFKkqbwSLIFlDxQ0MUqJogSrmRTmL5+MHQj59iTdC9VirwyBWjq4nna0XGQjFQe9pJuwHwqm/XIiB8JIKpkdBpFYVkLrdTxGkUkMFX/06VdurktvkKlgRJCoTTg+Y60hGYF/ZwYswHVgyBv9xc6iIVwUkcZd8hWe4j5+ac74UORByqnwkbQZbc98ukphx4s4tudN1S5PeSuoUAVH1B8LfP78bf2nw692jP37hFcKR0JBsiWWliIogtQDVkIpUW3urekVd8+5uXFSFvSDnedyugPSAuY6kBXY+lbiQuEPNJOFbVTG8K4QT1Ug6Y85JRhKrIkcaD2C57xeNnr40ElLSLQFJzDiDqjsYJ95kte5WpwiIqj8QCp8hlO7Wv39U1wcOhLcp/qhCQ+rEW/hton+qgCTueK5bqSuy15GMffMVHlJ61XXHkdQyK/BQvepUwVBGYCcjiWuJO9RMErE8ErNSkXCqgKTZ5x9Syt9R4CNE+6OAZOgDBsIWSWMLQuIpplFxwo3lVsEMjCIZN6MXGAibmU95ofDfTIiBUFapQOTV5DYRUZk2KaoCktYs7yJ1Rf8ukr1pvoJErD/RbSu1JFTDRAZSBaoKpYnvxm4hiWvlh5O2PeUY133XqUj/HQwVWX9Hgc8VKpKNEYlnhVPijMpnnkykzkEaiXh7b8V5sK7JauWoThHQ9BIDIU18Z8zjvaMLwkB4RTXToyDSQxWotH55F0lsSxd5+JEKSF1rvE4lglXgedyuEE4izBUkLbApvRSIqxg7sBwSI/Gv+46rApK4Sx4jhX1Cj8wK0FNd+qN/Mk/6QKilWzSSmHFiU5NLU9gLzp1BOF6pzmvrVQbCEGEgvKKa6XFlfzOpCjxav6yAdH1/0/G0RyogdY38OpUIVsFQj9sVkB4w15GMwE5GEhfSdqhpJN1aXaJRjYx76JbvOgaS7DNGivnazG5RztMjpbydVSPpkbJetOS2SkPiKdYCiFQtXtwM3zYyEaO1TKk6IAoD4UeoVCAWTA+xM92G+qcKPFq/rIBUIZyMrepFK3X9iR+8pbaPVggnvr+/jiTCXEHiK94aKows42BpJHy32jYUKhNLJDnuChU3yyxS8HsgRbwiVrIcF/+ipTFutT8GIYnpxrNMJAwdmLWlSXfc+aJxwkD4EZIz9hJJkWo7pLqL1Oo6UleOK1ipq7x020rGVrWUlahAHTBa5nUkTnUL6QFDtyOcr3irWmpZ1t5O4Omuz38suxes0OnEkF4wVMy3pLQHi/hOMxGJNTz4RUu+7thKfkidg1oAYllvWanTsaHEfUh7lwZZUxgIP0JtUNYhqZMhRRqAqApIBbfLvOjfRRI3zUX2E1TGSi0YSXl3l6cOkgaTj6QFNse7C9P+GA0jbk85Q6lYatnoalvhdWnNUH5v9uu28u3xCr4zTERS4EWTEDNampXEjOMk4m3ruh5jascjhjdllaZDYSB8f90qIgYMXW1IGlUppIcqUPFyXAepiO/sfeFFpK41XnecCFYklqhMOLVgd5G0wKZ034mraDvUNJJuLdE4FWLJwMtnEElosjq5fvqLnkOIFMdd8Z0RSMlUoq3SeLR0M6j4bVXHb2SdMQ5NxvZt1R8In/7O4Ej4llFBXVBWgCEpYUohXeTpVIGKV+E6SBV8Z2xVL1qp609FqOi5j9bhedyugPSA4UjJVHy5WwXTyLL2dgIPT6uOR2tzFSLqOg/vIAtUwe8X5Xi3DKVhXKGy+0g0Et9+kFSF7OOq4gfC7sj2cgmqPxD++YsTGAi31VXe6zCPG0Uy5Nb+ZlLXqXi/rIDUtagKWxx+sMJ+ov2RbhtKI6nAI1JdQWphOFIm1UxgpyFpMCKYdr4vBl+iyA5eVIVO17pmx0re7xftlqvjNdFTt8CGfSQ06cSMsz3YEg6ufvbFp90Tt+1zvaEM9QIDIdHfoVD5u/Tb+pyBkFi83iIR69pFJA5TAanVdapu3QqGape+vsUhJa3uGopvvPjxKxJbJsKbS6tLmVR8rVs7Zm0Jvhfkm9c4EjF4qIbvuCr0X76NFrfO8oNdXx4UPXIrvDmextMdzIER+0hahPOM5iQdFbFqICvs5cEdmAJ6kYGQJv40/bo+ZyAcl9obJJU3XkVStwKPuOW6jmRsLK7wiAevI5WykgZ2F8kI7+t1SUTKpOJraTU8n4TYJqyDCaLqAkbkqdlTbvmuY7BJ/tyI/DsKXQnq7qrgODGqb1GJCaXxuFOJ6T1pACMAACAASURBVMYTv6MiI5BaOQ2E3XMXa1GFCjDU6wyEASMhBsK7JBWSpMKuy1AFHl6R6yAZJfgKT3ukyH6CylhJBIvbSawiUbE6UKE0aYHNwfJJ6Lmj8Y1pBJW4Pe14NBNd7yliLCWHk2GcHins7ygYQdLWousF3DZRDlWXYu1B0ZURAPw2X1qk/RdIoo6/YlTsswbY9Qow1CsNhO76hIEwoUfOk5BS6W4hkVRZKlA9dJ1H65d3kXghvt68+cHrSHYjv+I+zXGkmDGNR6QqUjBvlaaZwE7znQYjgtFzlQjC4Nfvlq7WU8RYyqQSfZSPpAVJF8+3HCeW61tUYsAbfowDMEja47yzEEmzH/7ghCQMhG+uhB65REJSG7iFZFBdRGp1napbtILv2nUr+E5csQISz/oKvhNJuv6az9P+eN1KD5i71YkvxL2Ww6MtwfeC0bEk7kpbANKtVLDTUW7SdRVJrADRhupqY3dXBa8Ni2QmWAejgcUhdb2enuOHH1cDyfUFZ3Hp7q7MqPYSBsI3V5c51/c3pJS5u1SlkB6qQCVuuehqjeNbmSL9uzt4C0nsTNepNLAuqK7wPH68jtSx3doFtgzdEc13ySSkBDY1pgsl0YxjmKhCpxPBrgCIJAlUHONxXGOLg9EIW1QjrpJh2oNp1ZIDaJmeGUgcoPu/q04UYxx3YSB8c12vbh0JKWXuIpJW3a6rApXYMim+4Bo8Woe427y7gxd9p/WhOrFkbAev8HAqut3Fr5cmI7A52F0YkipABBgvhvxew0R3O5327wqD+GN7MBqDpPQXSS4WJdFTyXk37LahEc5X5wfFlA+1j5jp/K67gbQnDITvLC1vb5F0VNfzhKd0BaqHKuwneCHm/yfzDFtUMo928OLGi1jX5DwXbSXa5+7ey6DKRBrCpPHwhbrEz6xORpY9bnf2ibCVuCvtjoit5GIBf7AZ/9IYSLEPJwzFEN3RHb9elMTgSXYcbyIiWFyEa12sIzFux1FpSBrMxfSfFwbCd5aRJFdIiFW0u3lSk6rDu8jDW+Z1KqP43u3fHPIuUrf9KkIlknScV5CoRji1MEZ1ygEQj2g7nnwYLaLikLoVOU/ZhiLyJIdT55orSDx6O8LrjrPL9a0iYFTvUCQO0JqCHxf96w4mLk0suoxgKysMhO8srYVfITE2N6WoLvJ0ur6fmGkDt5DsxpnP0x28hdTZp+uLdRx3vQjU3A5yGJEth0Gk4jziyaEkpAQ2SWEfQaIZx2goZTtdWjh1FjAyLg5Je+Ji/NztJqJNbhUBu3rHIfGs4SSPH7mVuoc4UvGAIWYcfnJ9YSB8ZxlheoWEWEW+myr5DWlJ15HE/kRX+6XYom4ZSlvrYkTxNqkh5fB0YMTKUddZ83k0KnqOt3w2LYoSkMQlxPRPQNJgOjDe7OIw+MW7dbVAuhVOQ7A0Bg2DH4xgoGdrdHhpJDYhB9COR8PYfaT7MS7jutWpcVNHpf3oTiWS8AC7FUjbwkD4ttJq3EUSYhXkLlUpHo53F4m3TJKMlow006IyeTTIK+4TjdNS0bMfM9UhcePc2ntpVPQcb8lsYvykGYovYdTwaCQtyzo2ThiHwYNH25Jez7sWhoOl1aUuocREi046vpZIyPFyZIS0VjOjebhHjO4Wl3HDLqZlX/dwRyoNifR0c2SIEwbCt1WduBwWlHwkYvXO6BZXdN1QvGWKVMlIXZUXPZjJo0FeQeLGKZJ32l5H7O75SCSFNz0bMBNMK91phuJLGLEUimSkWPcjJ4wjMYKHI10M8haGU6WFN08okSSaykjqu/ZpGTQejpfGY1Tv0CLAAbRsEq3E4R2pjP8NmPrCQPi2MsL0Csnj9sWa21FVaAM2XmjBHQJ0MCLVFSTeGK5YSVzrouO6LjjcfuVQaWAdXhoMMY9o9rkY5EbGRSMZUU2S70KRbBjO1h5xpOqWE+8dNpSP7XRivicnnRGuWje5VSQ5g5h60TC8OF90WXuEmDdF93UPcaQSV+T38h/rCwPh20qrcbdIiFWZu9litO0KOXx9PyH2JxEsjYdX+VtbnA6Dc15BEvvlXSRigcR56Gpsi1R0rw6IJsr0Hb++lv70nJU5MGSWphbJEYzHML93mG63mu8t37UAxPwi/hgX4UZSa4l/qyhpYZMJ1i2qgeW4rCPRzKL9GIEkRnK3+q1AOhEGwreVVm1vkRCrIHfbpMFzPYevG4q3TFKMlonEqzw3VBqSuJDIk4MkGqelIubBBCp6NpQWQhdju6PikGlgD5jhv2gAEUnEo+fikABDLKI0xzki8RjmALdMZEtsbV3AJwCQ9Osqbpy4CDeuL5olv7uJPLzrpXltBizOVjNdrKPSfnSnMpC0OuDIECoMhO+phB65QZJWTVyokpE43kUk3jJJiqU0JA7wOH7LSuJCWlBl8mhW4ngJVCIYsYp0MbYNpIulScu1BCTRPlrGhSJpKdYe51kWkXddDPO7hibSnk607sZSB9AeEYtkUNIZXjBq462iZFsmpwKIAW87zp2BWMzM3MXrQxCV+L8NU18YCN9TYpheic5hGyjVJu9SdXgXkWbaQCYSr7MkVeFkJI0zH4m3wDp5xxs530ncim3SSwHlhlPLdheJX1/k4bQJJPxgB0PPBcGdxDYOSelG8YYyZPguB8YwRVp4807R4Wlg7iQ2IQcwSkEoDHeH3UfckcSk1o7bP7oj8Rt89StRdC4MhO8prcblY0wWlGQqkYeUnpGv65WlXUts2MlIXSB1YNH7CZHH4EzolwaP1qWu5J0Iphnniu8M++SXAjHrMyOcX9yoRdFI4mWN0tSe4IukhSi3gBFCt8LpSiC1AKT8Voj0muCOQc/RohFeyX0xpG27RfNMBnaCyzgSP27/6I40jGH+46sIA+F7yojUfIzH7bRqMkNltMm7OVyBqnMcmUbL4Rm2KPJuADaPBnklwo19g9iibu11RIwOPo2HU3G85FJghFAOj2gfw3GdB9Ng2h95gfJF4jHc/agVJc5TJJyIWTIUgJTfT9GzAeMivFtFu4vj5UgM6Q4j2WszYNEuE/NOC5sOkvO7IBELFQ7TkSSn/KEwEL6hjGqbT9Ii8YZ0kcpok3fT+GL/fgDwHw2jJfB0gdTevoWkHbyCJPZLeu5SYt/KoSI9ijh8GlIHVqEOiAwdZDTAkEcEiyax8Xh9cEQy4lMMYLFuxxnKkFEh02LJDiEt4N0xSHrKRm1M89Qw44jZLZqHB7xRHoOQ7KQWAya6ofBE5qtrP76KMBC+oXhW3IpOkYHXlHwqoz/Rc57n6zpSu5DRwtOQtBal4eUgGZzJSJ2/aC7vQpEMsA6muyuN53FEdFkOjwgjeuqWifjqhgdDSTQ8MeD/Hfn27enfGYkWP1q6JfvOYOO1KC2WePXWinZQaTIuLvoos0KSEtKd6ZK7ieg4I5ziXMaROKEG6Q5mJLVtnxcSBsI31PUa15FwjItUmlnuUnWEdw3VLmSbKAdp2KJC9xMijwZ5BYn3v5m8C0XqMEjKO5KiK43ncUQzzpXSZPsrGkm0Dyk1MxpJy7L2dovRHfzvf/8nTIBbHZ+nVfujUZT4XRurb+t6bHfe4atrNcEdg6SnrEV1ZoUkJaR58NBzwIfyTAZ2gss4Ej9u/+iOJPpC+zE55c+FgfANNezimRiP2wZVGpIGcJ2qxTOocgD4jxd9J24pRIxkJI0zoV9qPLxp2WDR0iqAsedI4+FIJFkpuWAaJBQf4fzKmomIhVkmTPtjx/DvR625rzd97Wlyd4j+EuETJAYzB/sjj5dSRQDSGwc/LrOdMXQwIt7drO+QOEaEZTQY3jtEMDH7HDFIetZG2GjM7khiKTZKtxdAjjAQvpuG1TaTpEWqQ2X0p+uZbFPlAPAfLzZOXnbb23E7CRtJO5jTLzUYrYuLeHFIBphhnGQkUkoB54ymatnEDYe24wliaH/UbNIFVQIMsYgSfTSFtNL3tfi0V+c3xlTeEsu1XCqdXkrtVu8W0iLcCPhzib2jOxIKMInXIhmGigYTI0QLpDgkvjrNjWRkevzktx48kUUTEQvs1xIGwneTmBX5lU5jyK9xnEpkEKtMvq5TtavYXstBGvaGZCTt+kZsh1J1/qK5vAuCGYLxWmT17zCebsUK1cnwVGsi8Yl4AYhH7GoZxCNeUyxNJIXQAMlpIKTnoB2aKLOtGH2EY8uXONsdGdE7rAaOhjLqHufRzoyTGNIdQ2Y50iJE+0cxUc1XJxYhhpUeR54uevZbDzFW7UjOzHcvYSB8NxnJQzHZa5OQWVCS04YnsGiiW5mste3rLYp0JybwTLYoSjGUeH0DJhqp8xfpeUfPDo2WCGY4K9NQGlWy7zoYu0JG1/Dust3T15CIRV0EDCnRIgY8ffs2hplu/e3F+XERKcdEQ2wD5h+JbauDDZK2qHGcAgyl9QUR40rWd0gcOK1083znq2tB5YvRXlaLEK1A8edCpEfySh3ovGMvnRlFjsJA+Fay05gCstcgaZGGZSWTSqtr1zNZRKKUZvAA4D9ebJxaibfdF42kHcxH6vYTJFUAAy+IygATw/txWhoSseTihE++C/iEFcczSIh5NgJgkoekYPOl4lez8dqDEQOhyKMFsJZ6kyu6yAjmJ5iYgbALG84jEpJu7RMMkuwvRnJ0udbwWiTuo7QQ0lY3/vFn4YJB7FmL1uD+lT1uh/FckIuha9yVn/IuwkD4VtLSJi57Z0iG/3KQiJW8apmsde40qnYJu2XmIGkbBcNECUg2p+bEaBjRRJoHtScSCmaUo2jH8YtrkSM4LuATVgYMSb7j57iru6yR+yJwKAyxiBKTayHjzgZCsdoYiZ/cU7RaLQb2AOzge1ntKp0QTob9RYCEwijicSRexhNCyAhdzVwRSLzyiD+K+SV7/Hgg5MGpZXeas4KEgfCtJGZFfowaDYCUVM+h0tg4ag4SJ0wuvhxAhNF+TIAx/je2FNFU/KAWRaGG6vzF/78V4SKYWAQe54Qi8YsPXfbnR78vq7TxxH/ETBRkKNE+xHzXHSHmxyAYYhGl2efPEY/XBLqL8+NatRSNk9lTtHDqK1LkQKhFi12anvCOZbjP4Enz1DB+6NmACUWbu2AYS3EYJAUSseDhR57YZgJ4dI6RzmIYZ0aRrzAQvpWM5KGY7DUwyKwmt6i0BplZeTU8sS+mIfGuSSMPJvAstagcJH7QDu84ML5v6H68YqthIBEzSyZPu6LtsgGVX/uwGYhVA691WwCRh7N1dTuihvOrdc+aY9CziRIGQg0px0RD7GEgEY3eL/r3nI3VDYbOJqKhvGylXfBWYRTxNCT7KUTAaL4Y+jGIhFgCilQkhVMb5OMlJwZCbgTjrswo8hUGwveRWG3VZhBM0t4QeW5RGQx3M1kzSxoV75ra/zlIvOy2tzX3RSNpBzUk7VG+MN1Ctu8oOOlEMDvr03i65TR/TUVU2J9r63hEYF/x3Desof0fBDPEaw/+O+Lx0m6XUHx1fpC7Kc5QBrZWG3neWRfyfr8osXAS48rLStoF82u1xiYiicETDaaFrv0vh8Qug8ZpRNkDIT/htYSB8H0kFhGjGeSQaMU3uqxoVForyufheGJfTKPqNgpGy8xB4gYhyYnJSCKkEduhjbO7PdOlujPTwMSka0+LQ9K8Rkog8eOqPDqInWsi8PminIHzcDzOEBFOor9EPG6fp5OPP/wpXFMqyEMTidcJklaOOMyY530/QCiCOa4+j9dCDlMvlEcLXeNfDokWP/z87sgfeXyGUItYHjwJzooTBsI3kZYVWpfKIdEYMivdg8pYPZ9HJBRbY2ZL4DC3vKZVWK0Q55vocWTmXzTMMGwyS0HnLHF18d5oHg5jlIKvN9QNqFwHQlIMRY2/Iqyk2YckW3EYd9+JWabhtQcFmLOvhxVtzsNVsxK/wldchX5jrV0Y+XPx/ZSs4REtbGzCbWnBacR2aBUS8Toq0RQ5YEZaWUUyhqRdnZgduJXEI/+uGDAQdsc53tJTriMMhG8iXkRImQkzSXj50JI8h8roAfmG6vBEKxGzWChDd1szV1p/oud4FpFIaglBSNrB641T/NGASaDqwAyz5FiJUw1cljgQGlTds4iwUndNLbN4PkbEkuavjk0sC+LDz2EMAINK/j/4G2uHhZH7WmZw+oMTXYSIYSOWr3NpwWmYKKgEaWwiEndWDpjmIO0ffxa+JKQEhph99BxOAtjZbz2E7tAcvxhI7sJA+CbS0iYnh1uMmWwZZG8MmIgh3kXxhuJ4WgfNQdJaFD3X5bSSZ2wXjI4ejaQdnHFfHIxmIvu2O5IBJvbR9rQcnm4520pj3/m9PEiSrbi5EmKJnsPJqJbEAi8ChlhEiWHMbzjCiADdaWL606ShXL+diKQY1uLn349Or1uKmaUhiXHl5UHjKedXRZGNIxELNnK1icEj5rUWQgkV2y6MXW0Uq2Wvg996iNHCqazVX0QYCN9EvEEajTwagwPMt6g4KrGyaEeikTihWNTSqLo+ZLTMHCStRRl4abHdQWodKzTCRX/Rs4mGP4ZSke4vkT+ChyPRszVET3Enyrr0AUJ3WxmxpNVGzZW+MEO89qD28HOYDkBDElP+3/kxfwKeAxuFkQdPUCxpOcWp4kqTFpxioQ7KLJtNQzIOxvGIoauZKA7JDgzbSt0VBO3+1sMoOxejKEIYCN9Bw2Cl55gOJREBtK5AUskOorKrW0690/C4QcT2Gcpg8Bimi4OxrSHiRSPxg0PjRPB0zqLnvJsBS7CS1rN5PIeGd3dl0UFaXbLAgnfw7dKzSAcM8zwdGHlHOPdX9yPPdI7kS6JFMj9osdUbCINKkxYwdrl2L01icBqFMa4EaWwaEuePZjOq4rAIRJCQFDYkBY9xsjuVmNoinu/qmcJA+A7SiojYHtJIxKW1IwlUwwKXUO80PG31nHbFuyYpntLauTuPWN/tdh6NpB0cBlUojGYoMnMwwUpGzHSn5fC0y/Eb1u2wz32Jcc5TXksHLwaOZOe7GGxxPB2bCBABw60txurQRI8QGrAdB5VWfzTjuCeduC63jGYuenalF0l3XGMLKkEam4jEnZUDJnpEK90RVagj6dbix/nBx5EINs1BmtF8V88UBsJ3kFhEtHwOxTBawrBdhYKRZBz7YJrsLpWA1F7caNhGI3fnMbYLdhTFIdmctvviYDQ30Siu3Kk0MK21tz/meE2MHGJxJVgp5pshtWAmFvPt0/G1lWgi0m3C/4/m0dj4OREkdqzaYfPvCukD4TDvxjxbAPQcGMP84tHuS2JXJJEhWlpREp0VVxs5EgfQXBaHpJUaw0oJFdI2RbKzQvVKA+GvH98U/fi1dcE3GwiNZM6JV61wDHmis8goand7A8cjyYzRSF3XNNp2QjiJzak7brSoIEPxy062hzgTtbe5icQfExzX3RYzi8ebOwxHItNlxAKMPzwITwvslpmf78vQrjUM6RyY7si8fXxh7FjVrNRfwX6/6Jf8BsIWVTRUi+coMYO0fxzSsRSIFzRgQquQyKZRcf6EKmSEbrKt7JrMHUpSFMUh8XJk4L2iXmIg1CfBs7HwPQZCrfQbvSEUg6Q6wg9yzjgwbXXxOAUbiuOJVCQVnTiG7rbmNbF5RMDYUS06kT8XXyR+UEwx8XYQDzcR6S5Lo6JRGHdnhgYSPzJky6lLNk8X9vy2L0N7fdsaWuy5w2hsYlkQH+4Cw+uPeM4pW9jLgwZARCxp1WZoKHINbzE4DZjoTOdsHIk7KyLFRJ7OI0YsRSN1kcB/5MnFT3ZH0lJbNJrv6sl6gYHw7zhozHsTp0h6y4HQLsQ5GHbZ5bfjqGhU4zTgUKQOT1s9pwrzrklSjUvrClp9H3pQfDpeSNrBYSyFwmiGIsV3FBneIpidXKF1iV/WMIgRXXHi7uPrisy+AB2Mne9isEXwcLwhQAQMrz/dObaJZg0VPBCKkRNkLjuQNHNpkNsworNEMPI2hQ2mcXI7JJQgkcEIoWhzibVONIhotwg2wxTcaL5L56v+QPj75/dv377//D047WsmXJsI32YgJFZN7AiOwxABjP4UnUV2mRPzOTmxjc4tckYAGDAkWY8/0JdHXF28y7CeL5IIKXZKsaUFwXB3XMy4DozMcOpOi+ahkcvS3Md5RIz2nPbp/PnR9a/GdTwim/g/efuOu6xjG9rHF0azDz/Ik0sw1Nlfx56hna/VEebiGBxGvNE+BS8Y0X0dD2eIlhE/3A7RJYgziFSixeJgSA9mDZK6RPNGmrFPxNL5qj8Q/voxN+jNntfoDQZCraqKwRqazMMeMOwHoVRDmyRX4ZaQd9D2Ln7cHYDD8HXFshgEw1ex44pbLIKqO2I0LXp2axyMnf4kRXUOlQHDz0wI7G51Mcg10wXJWF2M53/n+33rqZj7Go8I42si7rKOTauQ/LEuMByAn6BVafFg0DfWzhRG/pDzdfkFDQxeiPgDHWF4qTGiOjTTOzDOSVIkp4FpZeeKrXjWaCYSwymCbdI+mVEUpxcZCMeT3oe+Qijmg9jFQ0N2FYM/JEi8M2kdy+idoXhiyyTJenG+62BIcqhouggYsb5r7utI4qjEI4aVgmC6C/IkGvaqBBPZMdOdGR3VfC0t/XMivCM0ChGJse36KtPQa2LGdfCO4jyP20ZZ4Od7wYi1sTtBZLMMFfCNtTOJxh/isnR3QdFoWnnUHugCI6ZSfppzMBHSqE7RPDyA7dIdXRU1HnqOGW6uIDZemW37vLTqD4R/PyBovWv0cz9DKDYerdBQWDIbRV+rv2n1haRKpx2M5uF4WnNKa1pG/ybJSmmBZLMZRnNH0g4OG2cojOYmESO6b4lgYh/tHhUXSHwhwyDivwgwjmTEzJrj1tsZd82kQSKKAHdZy6aVBe3hLjwiQ3eCVog0zghpvuNPpHtIEIMIIzrRhjyB0UqNeMNr3RmwDkmzQ0IJEhmMupRZFTWex2kkeTACzzCFVh5fVy8wEE5/y+j4g4ad3mYg5H1LjGAKq30z2XKlHGuVhZhZMqtwxyY2xWFHd2RoV9HatnhvBI9Y90U8sU+4g/EL2u2hwxZ08BIB91d7cCbXglom/9FIN/4UEpCMyBGtFF2XRB5i3myfzgDpeCC0Q7qDUXl2w1uMIlqxj6/swjJjolA8jUQ0lPgoXwaSokjE6+5tn4UjDy+Vxj+vdYdUHLJj6CpSAhIHMCIqGklc0bBSQqINkZKjKFQvMRB+SR8LlyfBP3r1gbDLh2H9jYtaA4NYbyCWz0EyElg8noDU4XVL03Np4zU6gqG7PQwq/kBfGLHKT4Z0hJX4BY2WILrySWcfIhKfrGEoLQF9pUWRnVnR5YivZRco/mMEW0uo8bTM/873/lt2fK3JwmgVgYPw5uHBYYhFu0pyLF6BNTx6dqX2Y5DsWiSuHlQktZrTQZJkGV8kMZWMWp0jrQAaRktAmqmEWg3P4emWTjYXz6Z8s6TphQZCf73fQGinU1DgDstHMk8LNqS62x60ssKR4nzHeei5wnIrUYyhtPpuAGhG86USj4iR093VX+v4A2DcX/RsKGJ+FFuprzoqklzGl45Lf20h0TJaHcgpTeL/HTYFD4S2TTibWgTOwptHUYfU3pVcjrTo1dK/Q3Vn00i4uUSAoCIpVuOZWPJNN9ECNk+ObCQahVwQ0mRVzAxmYmnOQ4uUWApC0uxD3tF7VxgIX1VajzRuBAWumDAkJbN4w52nBSOpsmgHo3k0PKObipDuDHyVmaIcASNGtYhnG80RyYA0uqZAYlebiVrUXlB7+hphd46veFSIAdMtHddHxYVE45DpxAg2bUW+aJ8LwQPhsE52D0wIb41HQ/KVnc5aRSJmn7hA0jiHhdodSSuAdiwF1SXur8mMi5aB1B4kb4PYSJ13RDYxBQbaeuu4XZxJMlF0otmBvWOZwsJA+Kqaz+Tu/yASA0PL5zikDswocDPtM5qtPdLdS3u1eJqh4yHmQe1IEA/3xYz7xId7IRmQGhuJJvLeMfN2OMy46EASYcSlQ/tod9lhhcxJtyEPMQP25x+HEMeguZAWXbyweuRAGB1FPB60lG8fGI3XkZAU29rq7kha9TMqJJkWPoeZLIyh3uFgHFIs1BQcNh0G59H8OHvd3beOiytybxIzF4VZzE6x/CgKFQbCV5VYPoxkppiEMTD4Qe2uCGllbqb8JUjskWKDjKs44hJaCRaLsjtPtwqZnuowIgzFryYCGK78o5lSMzqHP1mSnKglfnQUkWIccenQ9NfWsisAd2WQbIDHOTwRogdC2yb8UWtLL4Y3PfuCR7v4QEfZ0TtkC41wkUQLJPFRcRjEHCeai0wLu8BwNo0kRzzBtXK9Bnb2LWVaOSIlzqd4lo4zHsMgWqGOc6VdHn1D97owEL6qePux60tQ4Bqln/fLBJ4WjBTjaBiZua05i6RKF+c7voTotYTiqy2hAXCzRBiKX80OdRXDdcc82SZzwrtzAc1lVhtj4qVceEiyjB3emaVJROqwqbOV098hNCJHtI/4wLXVF8ObI3VU/IG+sqNXtBV/FqGBRCyKxEDiD3FnoOdAssFsb7rw2LWRx1WOxMC2D4519jVOYunT/m3yrLAZPI8TiAUbRSba0CzJURSq+gPh5N+c2PlDhK87EIr5IKY3sbSPIBkWlDSeFoxGzUmsNfx2BJvWLEnpZ0G+4zzETEeSlyNgtLpvB5L4FBypNEitK8gYKQOhlmgqlYd4+miJ1j2Kw7jgzbiMnq2k3RWhmUJEknP/XeLsi2of1+x4OJtoja5YLQAcD4SaQYKcNYxerRCJzyWIUPOdsbo7klZ2tHDqMCLSTayNGlKOeHbb5Wjqosdf42Sn/05JjBwI+V3tA6fw1jWMn8woilb9gZB+//y+MRBOPuDi8zqRWD6GyRMRuDwxxKTVgN15HlQ0ZxCt5IUmuVhQeAMjZlJ3jHZFYnYTARICiZNofYI/3JGNX8ruoGQH9nGn7DBIj5mZmdGGNwAAIABJREFUDuqlzmWkWIk/RDSvIw9fS6uWU+5zkkHSnsMT4ekqB28Say9Lkh0M9/EbT0iGvN8vapE4yYhejW3KUK6EdmEUV3dHsquiaC5SvOmIxNk0khzxBNcK9Sybx6d2DZfxE06RJs4RM4uHykyce0mzEsd4A73AQEj0dyjc/XuDmt5pILS7eFDgaq1I/F9r8xHSqLTyR8xiQWCP62vm4iRBFUcLDxFGLMruPHbptwtxRJDzSw3TzQrs4IGQns1iJKOjOioyjcPP7A664GmGEuNnGFfu0sqgiC3e64vBYYywsSpk7kAoPtBXRvRq4R3tNU6oRbJI3kG6Y3AqUiKquxFXlwwTRXtHQ+JU9GylWbCsgdANaeIcwzI0EUsR0kIooVnk60UGQvo7E669J3Sglx4I2xvD+hIUuFrtmOGhyDQeLiq2z+7hcRqWPO1HXwYNhvS4ohjjiPXd6OLcLBFxzi9lRLv4RHqdfdq+wxA9qMV8dBTRXGa1wDMHz5GGBskxVIdEzFBGBSAjog4wSHnuWmnqIIWLeoT3pH34A92lWcAwkVjH4sRdZuddEJIdRVpyieZ1RGrZ+I3oNB8icWusgTm9Sdv22rKtnAZCjvS4tzunPR4kH8u8iF5nIAwYCV90INR6JK8v4l3uJC2M1gnEE9x5WjADZtg+0+oLPRuHnk3Kf/TFaJcgZjTxCMUYR6zvhvvaG+KzcKTqlpiJIovh4Pu4u9tikBi2io4iUkKIrzt/8ARJJLFrgiOGxmYUTIM5goR0m4jWmKqQ/L2si+EtghGL9jHJcSkw6gx3YvcQF4AhnhjbHT9/VAIJSaFFkmUS6pKd72nSkEgy2vhyYQOh9uN4uZlFd2dU8a72UbN467KL5NHSx+/8d9crDYTueo+BUEwSsfq4Y4gwnKcD63qDu7SGZDSqjietvpDiRNGk7hgtD2cQAeJguC+G7jOu4EUlLmE0Kpox0e5f7G0x+JGlDuol22UkWUNL/39nnn2LuraWFuci89KiS3hDE/F0i3OcZgTRFGKpfNJjAjwLb3p+4lp1skgm7p1BEo1gsHVP4WT1STytKmphExRLRs0Rw2nIeY7UsaXl+CqSeGQsv4HQMNGOuQIGwo6WnsNmzZXr1cm2z8LSnGR4JF0YCF9PvBsZkbpcaBYxtOrPCUX4CA2RxHrX8oR2C9tZ7eo+dUdh6GBoIq6CYDiGdtDwV0SQ8yVIiasO0pGBw2ht0nZlEJgYq3bAaDD/PabBTitVeugykowjHo+QXZo6bApznBE8YnnkjxIuevyFh+0NMZCIhZNhmXOjiSVFiyXxKRwCTOKJgaQVw6AiMF8e+Y24umRTuS86gyTCdKizV3T6DOHMv1kke+nFjzUSyy/RSkcWO7bS7NKT694eSTAQvpjE8moXl6AKyPNz2Jy0lHYH02D4XR1he4U4PNFZxDwV171E15Dp0+58dx6tE2iB3fnL3VDdpYZdoTWRF4MIowUJSUaLC6EOTMwscV0N5r//6X94ff2FJlKsYUCGGspAEpnFHx0xSIoc231WhHvsTR837OQSkYwLbkvzjmaihDog4omxpK0eFE525dEsExfeRmonpLlG1eIZ5Wj2ijEDISl2W9PBJyNWq/Qs3m5z0UJ6P4qOHRcnDIQvpq5wiEmiJVUECcfQ7hKPR2imwBntM7RViEvzViH+6IvRra71b8NQvjDdEkYv5xgRcW4soTVR8YHuMGI71HKNsqKIlBDSzGhcTdbWJy2NxLcDLEjG0u0JnN8dg+ZCerZCOg2EM8k1IJm4a1KGd/j/2o9xEmO7u4s/JAiDLz1TIePCWwunuEVnqFo8G3JWHi/LGyY6KkG7bx23vSZm5RTM7r22v6aelR9MtDAQvpi0niQ279PAnSARexJn4wfdeR5UIg83lNYhQrvF0FC8uQb5rl2CJDdx4yQEEuke5Ae7K5Cr7/gSHYBtN1918cl/HCJFR5FGIj5EPD4gXH/n4WQpGDJ7aWbFzPQXeYZVUeBx+jiTBtYd50jGBU/E7W+YiOfC4erzbLwqaqurVGef2uUkpEc7PdsqKLxnIjxZRmwfgR28x16zEj3bcBnpQHbMiCk5dV2ngdAhijyqZZwwEL6YtAwxCm5EBbQrmtjF+QkR4ktruwqxr4eyiUjcWd0TifCdASMasD3fF0ZchZSg0mwSEeRdSGi9k2M7MnAY0SO2oYK81lGJy/F1NStNQTr99YJhNRiusicxeHjxSYgoI5iHVVHgiRwIOTBHMi54Is07ook6Z8VFESfhoautLh8//tQuzzWSbNUxhIb3TIQna4i0D7Y7zxsV8pattNV5gLXHBzorUP7OcjknRvUHwl8/vs1r7W9SvNxAKJZXnjlic40g6RbiPBpJXJXR1tUIOUwom2YcYp6Kq8gzoSIGT1B7MOq+0ai6h7uzaUtwJHo2qSMDh9GCpIPxaV0rVCSFN88sDWYK8nggnImu4RLbspOLWCJEO25oEP4QfpzIeSDUSFZr0bnpjDqjJX50HTBgjLxrH9Uf8vjUrl15NMuEhreW2glpblAZbFeohpUwn8oOac4zhYeBcFr1B8I/f34QAyGZs41WcINqjdawtbvE/9urOYLRYqWLg+FsmnE6PGK+9sXgS9iFuLvtztP5QiQhZqL24e547dWG9tFiyR1GDJLJZAylIim8xcwSYaYgt76bhOOR5NBZhgMZ5ag9gfMHkZAS2NxN4yIQ9hlCfleHZFztUKJ3OBVJiXC++hBMTDqO3T6qP+TxWSatHmpxPo6lY2lRneMdg4qkKOIezESyK2EFJGJx1Z48ddFSA+GQB58hHOtrKPz+87frVTEQnpOQUuM4sJjS5F107E4gdvSdEnPM1gK0d/GTIzDaJUQwMa5C+3fLpnVx0SYR3ctYQgstXwCNRwwSg5A/JI5q2C8NK/33P/0rRr+0/jUJ4o92UIV6cGglnm6hGTdTJB/ndzd6hX0DPjEnDkgm7p2UVpA5Dy9f56sPwbSQ1lYXjrsOhCIVR9JKmaOMXItbdIaKs5GScWlIhvsoPpKHSI+DJCXXAl7AZwhnl3aFidaLDIT0dyZcewlwoFccCB837H7A67I7iVjgeCaLHUJ8Uo5g2qJG7YuA0djELYVYAYN8xxe1m3ocDCl2mG9REUHehYQR7e35ccEjekEMb3q2VZzXxEWNljn0oPufLuioSLGPzeYlu06SEmbJMMOqaCEdf+GhRtKewJG0q80sOoMkEnb3ctTx1QO+x4Uzd4/qAWYgp2HscOoYQtNtBilfQ6p8MC3xCyKRFNsLeKUGwnbFrg7cHkleZyAMGAlfayDsyqvWD9obQVmtYWh3if93V/MF06oJz+c4GM7Ge2TXyEX3RZCQaRmDMAKGr6j5UWwJEUHeXs2wDzeRI4PI0wWJUROIBVUcEinh3Z2vwfw77vEt6mSGEAe22bwkBg8Ps+7kBBgj99vzO0JZZ194aFchzVba1SbXHSJxPGLp1i46tbTT97jw6mek2M6K0wOhRsXxbE4X2RU7NM3nqcQjdZAo2EerSCLPGp733yFcWFpbt1saA+FdvfpAOCy4QbXGaNhaFzcqsiOeVtSMyhIHw9kM44h9PQKGt+SZ+hvXG4wg0QKeP9wdr72a1g/EmA+S2BFnDBXqOM5muMOw0tP5x9+iTlJsdweJmTTOUC2SYaWc9B/CiGDdDUsHX3hoJ5eIZFxtfmkbiePxu9ob46X9vseFB5K2unA8fiAkFk48QyMkAkTn1DyVxnYdSayTd5GIebM9c/nqW81lWLo3pb02iLeM3hIGwhMSjiHexQ/yq7mDGbsK3uaDYAy2bmnuprgmwZ+7bavu5AieLnrtFsX9FdG9uC9ICfsW2xFA5BGDRCQ0LOaLxBfVQtcg6e86+xZ1evaIGNjajfm1VjW0UnI4GaVSK4n5SKRHvn0pRySOx++iea95f1B2Mtnl436fIeQ3eFqJFouQFt5xxXCPiljWX0fysZXH26HFejhfBBzZQqKo6scIMRC+jLQ2qVXeuFrDSz+HMU7jV/MFM1pUe5AvHVqUtUpHSrEL6l6ddyb3FnGtlAeM4TIxeCKCnCMNG3l08JBiK60mUKTX6Dlo7eChUTx7cWpZb9QECguhDkwLpPaE7uQgGINHLETi7QQkkkJ6hsSLU0s3kmJmNoT8vn2HmGXsFIuAITOWtAp5K92i0+qE6gqY4bJ9JL+3Q9NzonU8aRYLcRYGwoJ6oYFQ65FdP2hvxBUaEYZYrzL+767mRcUZjIN86ZwWRcwU2o9BviPTMuLqcR2rc4fou+6u7rERbBzJaFQUaZ+WR7SV0TtDqbRyRI312pM1GEfImay3wz5Ioqe0/ErmEQOpPZMT5iCR5KwZEsdwsksTPdtnvLTTH2wUbUW6ZSyqmPevang2p5fsin1LWhG4CDbsIMtyDScDKdNiRkhvqvCfIsRA+BoSeyTpzSm01kzCiM2y43HE47sHu7Jw48RVGaM5aX09znfEjKA1qpbHnYRfXGvk9OzK7rHueF3jsbu4GNX2NbeRDFvRXIQ7SvSO4SZSjOAIqcU2SX7kZ7owaGDiv+5emg6nOJ7OFC1kMhJJYT9DEhFOmok6fw2WjhwIjRhepjr+8KdYtNMiXEOKjuF5Kg55HYmXxOXLeb/gLBI+TlvG25V/IGEgrKlXHwh5tW1PDqq8RrryXY54fnc1RzCOZADwpeOqjL2l4MUurknwuj/TyKMtQyP3iRhBQc4bj+2+IcA5XrcKT/Ahp7sMr4lu0kgcIbV853EiRpcLgwZml0oRPhlGtINRLaOpiLlvkiQonIbpP1635kBIbh/6EvE6hujwFhkS0mqVipTwvoh0aquYgZCkmMm0mH8UYSCsqZcbCLUWRaxzx210OAZfzv6/u5ojGMfTOPnSoSVGrHEdtniyO6G9yxHrb2jH6jYKYqc0DBIR5BxJ5CHmxOEFT5C60DUap9ZEZZ19g8vMZsLwkVuLZQtpjiPFSjnpL5pI9GwyjGiHjioOiVOR5KwZEkfOmUDqzhxf1OkzhMTC2ABICydSzEVXY0mrS8kqSGUUgWWqsD9rKfJkGi3EX/gMYUG91kBISotqT+DnRJDwJmT0S7tj+fZvsTOR0o3SSoxR3bibjLrjQmg3by2uQo3TgYmBpBkkAs9AMvBmLniCJIYND6q1pn78Nx6MyOFnGheZXHQSiVicE4uWNUMdgxlW4p7NhxFTKZ+KJDd1JMPrOCLRs7mIOas7c3zRzxgIOzw6iaXjr4XcWTRAdt7VQaK9gEkcCJMtFuIvDIQF9SoDobiVMbpUaK2Z2VfxyqLB+PZvu8DZHSKuysw4qztZ5Dkn1Ho2x9vv34s8WtxyVO2x7ngzSF1cTV7wBMnO8WETFXT2BQB2FImnGRdx0dAgj9M4vxfDJFV3bwcWB0OSv4YlMRqJU3VHOJJxHUckjmGE0+x1PfJuPtkrhJOnrS7+qYAzzYT3LSR+e/laYQPhRhHwVVQgHX8BT4QwEL6AxG5kF9y4vYXWGjue7i4Nxrd/G7sKThhHYoBxDE4lFh0XPC2KuB+5KyOkLS1S2Y/1pWpvzLtveMETpK4j2o4bWybglQotbg0T+UaXmPg8TrQKFiQe1dyVnD+Zh9tBu51DRSzIJ0kiwklMf14lFi599sq8QSWevwC2Li2cusBuT5699MGO2U66K5oJ74tIDrYK+CsmJMVMssUCA+ns+5wihIHwBWRvdGhlIDyPZrE1agncYkTAcDCRTSOPgzHASHdTNB5fzqDqzomQBkBSdNmP9aVql9D6peEs7YInSNwpRrSPqfz+HprRLG0fufdXG2kmASNkI4kpEKphSD9Oa8/PpCIluXJyTUSaCac1HXx2V0t/7fxlthUZRbKz1RD1SWcFalia8jVTMK8j0Um+pwyE+RaLddnB9zlFCAPhC4inh1Fwu/P5pbxgOFJ7QndDXNq3efOlu3XFfY87icgmVjfuJqPouBB27phs5HHG0aJa5BSfSwSejbRqHC/H8bDREq07X1DYtx12i9od1L2/DqNI/DE090UqMYSic43zcLbutPb8NCrRTR2ScZEgJDv9E+wjIs3EcFp4E0srXpQWeLwHwqlFIzVTMK8j0WHAeP9ZS1ovAu5yNlFtYSB8AWktvL2XlK0Pv9Q5jLiWsbnRCp9jXhmdUuvlQSQiGzGLdXjaEV9CI5C04httGQ6jBZX2wAiqeaQhgKPjutvccbNUlQbCMcm0DCTRejnd3TARd1k0jMYj+q67kUbFf5wkCQ0n0tM/x0QcSfNde34+klYhF2x1XKDsunRFMwXzChJnO7po2J+1fJxwhLcuI7bfTxgIq0tLWnGLw3/kVzvnGS6q/e8O017K7pR87xVEYoOR6SatInvhGVsu0WKOSxs8NLKSaJA4PCPdDHPZVztH6iLZMNSYKvLvoXXnkG6BGestaSaciPkuursbVhLxoqU5rgPrCDOp+I+TJBHhZKT/JFU0EpkplowkOq49c+qi9QfCg+8+JSm8ryiKx+nPWopI+RYzQvr9hIGwurQ6wjd/RoNvr3bOQ3op0XpnEEx7qRnjkNKW4jJca97a3iIUb+gpXvVCa58d2BypfWB3w5dKQxLxZq52jmSkOXfceNGYzxCKzFruT3GuyChKjxOI+S40wkkyVHecUnLN4OG+WIulACq+dE6iGUhabcyxj4hEIwclsA3DacdWxQfCrRfBhgUzX1p3q4Bk16WLSBdJEoSBsLrE6i/eaP/X4vU8jkUAvoEY7nV8M8puS3zvFUeigdGzX8RiNyA8/vwxN4jREhK2O0YsGdaIZhNNRMx9kwAukGLYcM72nMEVswZCuxBFFAFiwcO9NqyT7lS2m2xbRfPwQiTezqEi5qZJEndUw0qZ8WMg2QwXw4n01Ju9btnPEO5+TG5YMPOlea0O0moRSEC6SJIgDITVxau/uKsQd0L8Ui4wIhU9F32xK/jCcDCtU9qZHJrbmqHEYqc1if/+938u31CsAWg7sOiqx2HEaDeeRRoVX3fGPl79o4tkkWR5reO/h8Z5xHvth0+hzskIpPYEig8hg6o7TjGmWOLhYOLtHCpSgmo+19yRtKSLWHQJiSZSLBlJq0XL3aTmQHhAZVjpll4O6QqeHdhvJgyE1bVUcO2NznkQi63IvhEHI4KJRrDbZ1xu217jxU6ryCrh4se1+dLiQTId56h2XXHLpfkrFE/LOBFveCkXTiPNtVCfkvffQ+vuJeW5B3lw6C8ahVaEtAowUyQTePjqm7HkREUsyCdJ3FHnwylNQ991J19B0vrIMo/fa3E7q28sPT0QUm5yzSBV4BGRxNJ0EekiSYIwEFYX75FiTZmJ1/Mg1qp/xyP2A3cYm4pjJJBoYGQ6SzzyT9++WYQrO3h6DifxRsszeeVtibHNj4uPohjHGUgi3uTVXKg6MP7jJNWTnP4eWreovcMI2n8YpYn0yA+VAcPDKRpGQ+K5356ZT8WXnky0OCStp6TZR0MyAHbYDr4rRcs4OrGV06f1NldfX9o4Z95xaXoJJB5Ot5A6jArmchcGwuoSN398c0PPTVQM1vMIFgH4tkbc97jDiFSGlcRFQ7Nac5a4Cds01MFLOlrw8B+Na06ubjzc8Jror6kGfzDncCS+7pJ9XPLucaOLZ/HI4XKTSMZmwt5heJllBolbZsmDEUi3YDSkLvE7wlJUxsMTkOiefTiSzbDD5v1dKT62Op5RO5h9YSC8hBTUL1aRHj92N95JGAhLi1d/MUm0psWv5sXTrctJaJTGjumkYbT3aisOMM6+x0Vs3uLeomNuAcaGOvtVrtY7Zxx06ETRMvy2uKK19Nk7IYnZipjXZtqnY+fogtkIpLQuZewkhhkX1OCNzQSxMIsAmEeaLJI5SO3qV2KJmHc0KuPhgwU8XvuiZ39l2kdEMhiW2Tzen0nPYXM3ljaiaKC3HgipxoQzTLq7SPQc1Vd4QoWBsLTE5i1WXrEQd5dy5yHWyLsboTAalb33WiA5/h4XzkDMPsQqTrfi1F5nDkars2L8zPjo0I8iAA9vcUV1ae/vSlnCW0OdlmYoLbQSZGxu1GBu7qWUgVAMaRsvDknEoFyvkeS4dvUrsUSSNeZJdirk2TsPk42jIZH+3NfwYr4rhcd8jrTS5MDgaqhTmGNV46GJHlcB6XH8FlKcMBCWllhtxcbJCzG/VAJPh+HTrraoOMOaWc7mivbiIlLXqFRbeQ+EJLUBkWfymjOn2Q9f2nINthcef01BRDLcN7zU8MyZS01m3Plae0jiXfYDo5G4ZcS+HqohDK2kWwQSz/3uRiZVd2OSZHBCwN8JSHaZgaSdtnbdgDnnoq2Gsb0vP0OdknjoJZCu49mxfYsqSBgIS2umJ03uC11iV+MRNzeeHWuLSgMbYxzPFSIYSc6iUcnb3O4oMN1yotfGi86ATSPN94AOW1DAn9fj6072p3lLnlA573h2kToGzURjD7oiif/HAUwiiXhp0kplSzIZ4e5UxKJ6hsQ6Iey1r337HHwMQSxK4mlrPAfnGCZqT1jgOdYwvI/k9PsFB5JjvQTSlSKpIT2OdDfeRhgIS0vrSbw5DWPUd2Mq3u5uRMNwKqNziyuqGB4DoWEf3qi0ivzf/6S/QLgOQ4prtK4546BzJ9rhza8/CPKznY2GRJLp5u3jm3ca0jyVl4xdl0Fi56Mvkua1zB2GHdu2rQYK+HrYW7FkUM2QWCe4vqSzlP6zK275zsZYw4scCDNzbYjkRuLxDmQHjGO9BNKVENKQHke6G28jDISlxbcOwx2qT5MweYydjdgPIkhEKs1KayQecwWnIslKxFwpEzq9f1Xb3PCWOeOjcz/OOE5cMc5xIpKWd/Z1LNRFzcRSclM3tlwGybwBz5F4LbKjK0LDENqEOfvaJMN3tFIBHCVWpxkM6wTXUYcOXWasteU70p/7Gh4Gwg05fffpXZVFoucsu4tnB1IRu3kJA2FpzWxM/TvELg9vnKEwBlV7XFtRxbgxEI5t5fENN3Ys0WL/PvejiKQZZBjkoQNhd+9wHd+GYSed40J7SO1Beo6o7iHGvb5IYlSPQygSqT1CM/Gs6fhrk4zcp0gHzVB1NhmSWCd4jzpHAez6rpOplpHCppmovXeZ51iGoa7w2Ei3VI2HzHAq5bhbbTdaGAhLa5gek5tCr6gdbkxnEtg9hYyNoEGiYvgNhKQYp13aqMj9Qae/gWHwLFXecz8Ow4mfPFjX+zOEfN3J9unbwwxDtSe4rLWB1B40YKY86IekVcs4gBmkYZwPFBDhj+PtCWtUx7ILuP1A9b6AgXDfOB8wEJKSdMs8xxKpHnfl89Cc75JVH+l6IHGkx8H2hCtgEcJAWFrD9OhSxbNJrPAYbHEwNtXjuLbi/k7i4Fs92+PdaWuE67Id1644s658zuLIOgyn7swxW/BAONk4h/m4KgPJd6FtpO6g8RBKGQh5RRKzL1pabO/DvO9ASCx+ZkjiCoJRnWykZYzpc3hgi+cswpmrb31XSpd6OzwH0opAy5YvLe8uqjgSTe9vc5A0kiKmcxEGwrriDUnboQ4TJmJjamNoJSYieYZW0h6lXtF7ICTJSmQaakC4LsNx7XKTiwqnrb+pdX7LNfTmeNGt38HvbQfdG9hMxrkstI1Ez3Gund+eGYokUi1FuDsSPYfxZCw9KeBN0e1xmo5wdxkVafgoSx82EB75zum7UvYaiqMMpBbsItUtBgOpAg+Zm14q4DheMG9RBQkDYV3ZG1NiJYb00IzYmGrbUzt1I5JH60ZHjdPpCwBId1ZHvgO5Io4hBs/kov1pW+ayA0lcbgrP9Ss3uBNnLrJAu0jFf3RcaAOpO6LBJOyEtKjufJdpK81xNB1LTwobCLm5kqXV8OGjxpf2e+1r3zgvMRCSz3el1IklzWtFqPIZDKQKPKSH00Wj2fulW1RBwkBYVzMb05lNoWO8irsrMU8SYDoqYyO4ieH0FeFacxoWYl9bif6ad5zFtvtreBFGtMly8d39vCX3mph3w4ssoG5R0bNN8nsS99Qw46Kb+nAzkb+rEIvSUiw96QMGwiWShWowPGIi7btscsWtLwQST9iC29cw6ZJ5SEq6jqQO1V2JpeCuKoeT4cEi1jsXBsK6Gm5MJ0tM3MaU1ht5RObYVjrCcJ0rjN3hPuEWEl99tVE9neYxEBous/dA7hJ5lhjcaYeB5LXQBpJxpL2LAsyiIWl1IH/fY5TKTZiYzxBOVu84rfYRWg2kg9e+6DmQNu3j/aUy2gkbaCfSovpWIIlIxCxz0VC3ALhEQ1VA6m7Qc4G6iKSRVDCdizAQ1pW2BRSbkxGRcRtTmiu+QTBDKm25hOwVfdf1yOTWrjmuXW5y0afTDl61MBzHT5vH+7Pi7jeyGnk3AxDRuuxYutKNtPjRMi6BVrPMxU2PVpT2YVwHwvYgTUd4hDaiOhrV7r87cvoYgpFlm2AH0oxTLZY6mCMnnv2O2IHBSW6BHYN0skVxRyLTgxVM5yIMhHVlNyRef43rBCHRc7ZwqjiSJaocDANJ24QZXdMd0uZZqrZPp/kNhKJBlvaI6nIHr+7SKJz4w9do15FEtmSJWy4j3RLauWgZrZfnyObZvKjf1yY9jrR3bVKdyaDSzs9EWmKz5FGaNIC7dUAsCPk8pMcS7yzLl/b4dPoRgKt4wbzLQ0o4pXUQA4lGlTOZKkgYCOvKSAyew0ZEJmxM7cobQaJRXcTQkLRdoNEyIwi1cBJvDC/17wengZCeA7s7Z57N/VtGVxki+lapBtkhiT92Z1IKrVEtyUy3HCTP7ZfT1yY9jlCNcCLmNeP8HCQxfk59d/bmBQ3giu+M2L5emuz9wDKeU2fZB/CW6Ls6SKSUpmROvj8RSSpY71yvNBD++vFN0Y9fWxd8xYFQ2zpr4Ri3MRVLiV1WgnLGsFImhoYkFly7BEcQ2l5bWrQ/0/VLZcRzZvG8P2E1GVHtw7sbLhr6Ll9i4ouB/HNVAAAgAElEQVQwaXtEbTNhRFe0jDpwCuPxpujHj5TioBmkSWcl1/BuxetW0u5N5qG5X31eRHocIWafNUKnzsIPLjDYcv2G2Fuy2+4VSK2hUI2a4KuXGAj1SfBsLHytgZC37ZlwjNuYkpQqaSTzVGkYGhLvT6S0h1BIbqK9OiucFjYQasV3Y63xvc9I4u2Zhy/QTsuIpaOFnIYK20Rpuw1jb3pru2Ng3NpAaCE0GeE5VEOYBFQD6brvxLvyecgsmFd4SIpwkiJqjdC1s2wyLAHsfo+uD8+u7Iy7AilGuFgKrlvvXC8wEP4dB415b+IUSW8zEBqBGLcxpSZjZ7p4XLbYVGkYGpJYRPJtpfGs7nLk07beTjPcBa41qpgv5V9iCNoy2oG0eVG/jzMN96mbjXxxXjX2pkeGOpBWIS9uHYz0L0ilnZyMxEPoYjhd7GviulrSXeHRMESqWUjXzrIDsLf0HBLVqEstkhZOQe11A0kkuW69c9UfCH///P7t2/efvwenfc2EaxPhiw6ES80pemOqZWw0iUhFE6XtymaiBSOlN0QTGhvBpXXV09YHjJkt10KjihwIl4zj7kHNSvsLOX3hISkViZ9G57+SX9lyFdmhala6uHXQ6vbd3YxRB8ST85G6dS+Gk5Zo+TyEgXD6HNF3DlY6eOlyfteUJrE0EXNfJqcY4WIpuG69c9UfCH/9mBv0Zs9r9FoDYXuQ5ppTzsZ0cuMely08Y7Xl0jKWG6rzl7HpCYLUeFY7gXXm8Us6xr1jstsDYVxj0GA2F/L7k2j0bDF+Du2Z5ewF53bpu3sdsQ7c3Tdo1bsI1QxMDqrW6TIZNCR+PB/msfRMKbiI9DjY3RB/lBU2EM4CbK87/Q6du3WSI9Fz+9jergQhiaXgrulc9CID4XjSe/9XCEmpdKQHYtDGVNtSZJKIVKSX3QQMEUnskXbLDILUeJYqrC+bvQvcaVEBXyozzxDXGGzfLct7ICQlpGcqgyOetje9uNGpvOUauu8K1QxMDqqdcXfDiR/Ph3kszR1XKpba48TYZlH9vlRmE2B33cnP8FfznRZU+QnIK4DRhe9a71z1B8K/HxC03jX6EZ8hpOfcmEmMuI0pSYmaSWJTacvlFxGxfFwhNKr//KK+eJqJ2nvXFr03EIZ2Bc/O7fHbbmK1SITZizGX7yiyQytNL7HlolH1zqSikX1u1XC+er7FtGC+6Dtxi1IzlsTomkV964GQnitAkXCy9yr5dYATcpK7kX8ur4Hw14/NP/0wo8lvGR1/0LDTSw+E7WnGFYKQ+O1kEoNKWy4zV40tqd0v4yCN/c38or54xq59vz+5/tnu+U18aKMyGuSysgbCzf4d82ctb/VpT8fFINF6EcihMs68grTUeaOR+PFkknbpvYKZgESKvzq209K01Vl2APaWnh4IqUApsEsT3yRcRNJIFqgOvuU7SH4D4dZItiJ9LNxd9g0GQiP4EjamNF1HQlOXd25xucwyZ28jNJJMK7Urzq/rS2h47WhjcfD9mWLGzTDMpOS2hnvTBb37QNgufX176um4GCQyK9JFKu20W0hiJU+D6ZC6g8kY3er2FqUCUnsXZ1tA9essmwAzSNP3ap2umu/aJpKfgBoS30etUZ19y3eQ3N4y+vvn990/B3hNLzQQktIy93vn1i8ntAZ5t4uLnTsfYxLpFqGxuZlc1x3P8Nppc9r93dtwF6g9SrztpT0qVX6fIdRIutA62nJNn6P17FL7m4swHRLNVe9kqvo1PH9LKiLdYrCRHKpTAFJ7l8i2VqCOO4t47/ylep7de3mEF/EdPXcQXq8ed6Uhac2Fk0xRHX/Ld5B8P0P4eBHvNYbCVxwIaTr4rLjc/eWEVjvsLUV03nYmqryZINNWoYSG7+avEI3ULnSlOe01yOgW5dyzswbCTbN4fIaQ/3hFpTZbHRI1bqpDZVvpaN+8uI+f2S5frE63GAwkY6NyC4kkf2n1KofKH+Ds7xCKXfiu7/gNcUuQA6kZRzPXmMqj/wbJ/0tlHi8Vur9/VH/P6Ob8+aED4cEvJ4wGuUPiJLF2JDOISGIpuWUoo67NXyEOqYvqW1uK4RZQe1R3I5TKYSGnv0Mouo9YaK3Run6pzPLqrioFIyIVpDJ4Njm3fgHK2wqP54ttpT2YyWAgFQkqG8M4mEMlLudfzxe3c/Rsmbu+624Qy7jMBDQ2TmJNGFN91EBIRN4vFU5+qczyWq84EE42AzUiz2JRqyB8RzgF4yRjY5rGoCERqxS3CI26NvnwUCSRKr8taZub4aO6G3FUbgudfYbBsNJegE2RrH8kZtKDQaqzS9aQ7tpHpCLFSpucka+f3GorlcOJnjPxLtLjSHsvSXa7u0vxqecHr4ETq5+nPFvSIlzrKQmcBpIdY7KcPsMfpKCBkKj9VOHZ5DbxNyXe/89OkFTIjLBT7/IbCLs6skzip+HmJr+6ibXVbpOZDYnWS2oEnrHZutWW7IzTHiLejqByNs7Bt5xpe2ViobXJuT6vipubuztmLemKIFUwEad6HOHnLF/X7xNWpNTMTOuFFAEnJDH7KiCR4q8O71b/TQMwkGbwkpG6UmCEfabjxB2dSKJSfepAqM+Da3Pb75/fZ95++s5/mJ6ayJvMBPmu41g0qv8aiauGm5uLpVara+JD0pBIKqzDh4cicStd6Un2ZkJ7SHcjlIrWfZeARMwODmZZnFeN/c0tFdlm2UhFqIh5kJ+wLKeB0GDLtF61IkCsYGpF4CISx/AMsC0qcbkKu5TroTWzcepKVqbjxPAWO51K9YkD4b/3eJ6/ZfTXj7nLdOdNvcn01QZCcfslPlC+w3sgpInaMZWuZ3+PRczYZQZXGXVNOz8TidaLfgShEU639qnDzQQ/X7wdR0XrvktAItYXZypVHNKk+zKRrsNwpIuJZlORy379rN9xHq3/5kc41SgCpCQd1a7hbgG2SyUuV2GXcj20eMZxni6uMh3He9xOTfikzxD+e2HQ6UtlJl/6+4hXCLXg4w+U74gZCHdI7BXX371GZgeqUGrJtFUCoVbRJh8bilSwIU1uaGby0ZcqbdElJFJ8l0ko+u7WrpQjkaM1XN/re9E+GhVhIBwhlXVce5zOjXPw0ThSWokGllbDrwBMIvkXqy0kYiFk+DQa1dio7NSETxkIPV8YZFe15ss3/wwhLeZAXCyu7rfGierx91hskrt1bcZQOYRirZ9cOohQ3Jve3esMezY/v7sRSpW56CRSB7MXYO5I13c2HMmNxPvbgC7aR6QiqVruQHoMhO3qmivTDFjccR2SQ8yffXkmKYVIq045NdyoBskOFR0nlvFbSC0V/7F9VCYVsRCyw0zQ2/8dwphhsL+2qeWXJDEQrt0r/f7GbkuDRHX6TYlNcqVrahVNOzkTidbLfRChuDe9u4lfxdD2FnFUV3aiBlJ3ULuRiVQkljiSwxUD/l7IRfsYVOQSRcefIWwBtKBKM2CdwBaRxOrk77vdr77rzhHZ4kw6U5eSHSry7O0QIpAMHrf6sEtFUk2gpbJw/M64CHkNhF8zm/ufHuRLuEyCf/RaA6EWdvxRg+t6/B3Cx+0jmPiB8FbLFMuHBpMDqRXZmQdGI1VoRS3SJMbdhpSw7gxSd7C9cXF/k7xjmEc6kkfB5Nvli1FkUFHtgbCjSq7hxR3X3bVzXb+vhxVrkRZaOc3OKI+ZPtV8N7O1y0Gi51aidecr/Vfc2q3VhLPvzoiQ30Do/8JguF5iIKTncHzcZTxqfOndX04sbSYGJH7ftmTAVNgItke0k28hTT4wB0ms9cla2m/dbUg5Sw+ROEyaWTQkvqGpYCUHhoCBkMzSlCZ7E3+Ed/xCE7HSxB2aX8Mna1Q+UncX7RkneCAkVqzagxFaosqR5ruNTUIEErEQMjZUoZzD6qSRXE/PVbl/qcwr6eUGwvYu41FTV9/65cRSQxqQBAyEywxhEousdmY1JP7AHKQKu5ylzVZa1zSorkd4d4QSzaIhLRXMHCQHBqeCqW0Bj9iOJW4BfexGzh9FE8FyDGjsSm/J3g9s1nPvbwN6HO9O4wfFIy6yh4ro1eeR6NkyF2s4NUWAWCxlVnjbd0aYXU/PVWEgrKuN/U3mxpRYTq7BfMZA2P6onZmMtFTo0+osNVa6WEbnTZS5mdb2Ww6r775rRStKfGORpuHeNBNGRDq61gcMhOKuy4ft7Msq6Tm8b23+jF3pLWmO6+5du2jA18OSMhAax32lhbd4ZgTAEImkIL9Yw1ue7n+SKkMcqhbhFWqCrzAQ1pVdZ7WHJCMZK45hvD9DuAwQJl4jbrmMIy0V+lA83rbd9n9OSPaZ3Y0EKucuePC5drs7OoB5vH+hu3efZ1eTpXJKnzEQirevIxHblfIgv1IH6hRMjWenGvgNhEY914I/yJ5adbq4bzG2c7eiy3acva2KQx36jnNGIwUJA2FdzVeQ9iHJSNqKUySfNBBqp+1c/Xi7PL/0ciNfAeM8dfY3NJdoObR2xu1H0dJxHYmeDbKzBbQBdj/h3N27yXOgvaRTFfOlMg5gx+pgKlQDbYtMSpAnoIr9t0jB1Fy2Cen697G0ILeP+0pznLjWlbZiRHsCjIhEzxHFIXMSsIMRux7/MZoqQvUHwsm/ObHzJy9eayBsjxsPyUQyav0sidPfIRQxqm0mxNOWL328XV5aeoFwHUys9XX2NzOJdqVzazALOh4tuqbIm/SmZTy+A7lOQZjZ/C0obCB0YDuTuAW8Ww2MzZ/o0ARU0XdFHKe5bLOq+w2EBoMW/BEm1TZOR9snbyR6ruf5ASbyiKnH8eI4eSAZNYHSy4Kj6g+E9PvndwyEM0F/pSFptX4B5vjvsdTZ/7VLz2xr3Nrk7lvFhg8JBZsPpzRNkiQ0IY1KXDR5v6UhDQM+lGoYSPmhNbP5W9Pxb9A0KxXJO054HUncgF7Z/Im+q2MlO+9uNTtqTDTJFmFPw1C3KhXPOHqu4W5VaxHJ6Cz0HPBdvAWhDn3HbVWkrq7qBQZCor9DofefOcRAuI1ErOYekZz9PRYRo9r+Rjxn7aKu2+WZBWcJd8HEtl3EcTZJcrmf3HLNyuPTaMZ+a9+JGAhndPYbNG1zUyfvOORFJFI2eaLdolE1x130nRhOYi/egfR49zhJrrTZIuxpJN2tSmX7zibMQeIAHDIhAYdWEjmjqSL0IgMh/Z0JXf/a4TsNhMkVhJoEuL7xMprQLc3stJYJcwfCBbw3HQhJMcIwGUOpHDIuYCDsMHw2f4vnaJuJ9oRlqjPNhNOODn6Dpm1u7qaeVgouUtmbP2NTmINUpGbOBNIRpNP3S2kJqPlOpT3+WubJfd1a//VDeiwdUrjWkeg5onjHadniOMXSxElEh15Mz1W9zkAYMBJiIPRCurvxEvvN3SScKaZrhAHbZVuzeAdg1TY3IpJ4Tncjk0o0UXIskRLhR5aJHwg3wQ40g5SspV3pFSoOWQGJpFcDtPhPQCoSVBqM2I5vFUySnNWCGcef5PS1zDOpt99/ncbmKwFm8xBLve52HKpYmtoVjfi/XvPn9UoDobteaCB8HDFOTkbSEjINhlPdAuAaFtNlQtft8syC+w1p+pxqW0BiVrL79N02aYCN5fcZQmItcNODGAjTkejZWaXyTiS8hcQjvAVLqwnVTERSaRJrVHJhF31n14TxHsbva5nFTZT4kMFFvZGIFYTk4qAh8f+1dhPEyfOOW0asEnFIEcJAWFeTVWN4VxBSckLOUF1k6GS0xscJa1f8jIFwbekAaVvA9oTuRjKV5sQ1nuCBcJnHg0rbSfDTlsEeAItvzZpEypS4/+M5eJeqhblFpTW77l569mkoamXHkWIxflomFTfRfEl/+tH1a5nF4Fku6d41XCzpyYVLbHPcUGKhePwYB0bMUDZYNJW7MBDWlRF5/MxMJDKTMD/05w11BWm50GtK/AzhGqHHZwjze88QSSS5EmOaoTS2Kfn9dpmeC8K+EwMiPDD7tr7at1Rpan983HudqouomXoVikT6b/214zlI3Xa5gpUMmMz4FwvmsHJ2dz396Pq1zD6VKnJG5cXhouPo2UFax2kvEgdGkrnac0gKp+tlf1IYCOtqpmTYx6OReCZkwgypLmqm/SzrkwbCW060k+5WkBs9sjtt7bpOnz8hqQI4B/nZX8LoTkujmnRcssTNzeOuu0hGRF1HIlYBRJ/G0YoF827NFBlEmLXgd/ricQ1vhu3fj64fuhbZRCrtoC9Sx8aP06rvDmSENz1nn2G6CE6xZorVILkm+AoDYV3N7yTSok3jubvXqbbf4kj83s3rOm2XhwDLhFtgq90xQTbJLbylbc2aPL6hjhTLbFrp+Lvm29UdrHTwixhjc3NR3FA8um4haRvBfKphXcrf/PF9Zx3HdQycZ7L1EJ3+YRUamcioCbIfP3UgJD3Ig2Qg0bObjGCL4OT2EX1nALsjRQgDYV1phUM88y7S3b2OWDt85LRd5vceIQ2PjJBsgE28dTCxZx8xHMvu07fwVrc1mUiG4/Z5tvJOdJxDAnoMhHS7SIpU3f6mhbyIJG4E86mMZtfeyKxdfEVjW5wjMZY0mKn4P3srO6fSQouDcbY/P0YOhMbq4pHJ5U6QeOqlFS4e26KJ+EGfvjPHRlLqcf6O5HrZnxEGwrqa7NOZcWYUVq3UZlKRaahl+b2hrrvLAexguzz01D7hIthSa8yRgURSlU+m4rf5mclIfCOYD6MhaRgLYI8wNmJ75U3Ra6sHSOQRNzcXqXgxv5h0xuaPpMiPQ+38xXefd61Ez9YQ824Aefy5OE5lhHr3EGK++/dj5GcINyuVKxI9G2ey3biLr8uDnKSAT6gVfGkx9zWL3S37k8JAWFdaa+Sn5SMZmZAGY1A5yPUrN7q7DtH2pDUhftradQ8+7GE3xTqxxEP9LpXRodPYtM3WFRiO1AIY+7+xvkLa/t3Q4kC4sHqANMdlbvuGVOKG7yISKenPN6n8nCCkmQRMkMagwQwgUwZCMiun7MeYb3Cxo0s74ovEwagJ6aHdfDU0UWuorj5EJ6BRM22wOCR3YSCsK20z0Z1zBYmU/MyE4VRuDN6ltrvrBG1bM+FEq3hnH/YQee4WUAMppyPOUNntOYfQ2Gzlw3CkdvUjKxm/5mhfPJxAGjouR1qE237MoeIkdC/vjPAeVoYgWjGcuB8jlp5BImYlsSCohB5vgxTBeHQZlUr1o9/viI2CsFZCnZBEPGoCe7Nwrf+yeGgiHl1jxznJDiReE4aeLSgMhHWlFf3unCtIxPKTmhxI1tBKy/J+f0h7/JxuTzPhREuExx/20PY0yyR+Gm6zrlMRazn85GQkgyfTXEuxNAtmb2VGGx3DRLdKgRHhzlV0nYrMFnOr2ZXa/GkRZdeEOGmlSYOxAix4IOQBxh9Cz77rT3P9BSi3m7DiMJY8PtjC2YilJK1G1xaYhvS4l/8vmi4iC8SaSSxsNM8GUfkKA2FdzTTpOj2SVutFGNXp5QI+rt0eP6Tb1kw40dJGefteCYmkwjpF4irRRFrXuUJFUl/sTk5Gso2TZjHPbdZD7z4Qinuv00Lq9MoAjUI9VEaz627MxFsEFV8631BaLJEeRWp0JQ6EpNeE7nh/mtNHJDihuuLMTLiFZNQBkkJroSzs/rJYzH0xyDmS5bgDr/FrijVTO257tpowENaV1o26c64jXezZItXp5cIGwrvlQKv73TmzlwsbCMUbabL3EFeQSDLUcFuTicStlM8jIpFZl8ZgwzeFrgyExkYhU1pb4XudzQXOXhkwmgvlGs1wGd/k8YoahNo5yDZXgow6YHcZGdLpM4QcTMQTwUjyr4vEGm5HlzuDhqR1lpmO0+vAiUsm4gdlx529rjuD161YoXztCQNhXWmduz3hIhJJaXm0k/CgcgDwGwjp2SB3y4HWILtzpq7l9KvcYUesE0v5Oy2RinSjdeenIQ1TL81ohuNEjLWdjbareKOBUKxaazp4ZYCzEcu7TKOJMFpc8fgPQhUNdbEF2y4zuowMmTUQ2sUqyI8ig8jTLRrnUNs4mk8HF00fCMX68Of28QdbZvC61W3sysJAWFd2yaDb22WSysRpN9p6Zd+20ibG9r0NErEKcgp2IM9wyhoI16g8ZOwh8mEMKrtDJ3AO9zSZMCJSt/qOlboYFqvT7kA4BRAgI5ZOi9XZRpCzEWsrmRYz6gBJNSpn8ye2Fc8WvM5j7wrEvLMgnXbwRuoNi1VQA9KQOE+3aJxDtQpgh5bFc7Y30GC6tGp/tLLS7/cLxnLcLEYtvVLz54WBsK60UtuecBGJWDWhJjd2tPvKvlFY3UgWqbQ+dAp2ILsD0e2BUOuIyUYzNhD5MNtUCZxaOIlL59jN5tkEOysFopVuxbaBRCycdgqp90DY8VCuxeZ9JxIGoYqdly+dZig7lkjPO4vQ4z1+hvtmKpXYjA6lGWqmWMWFk5j4dk1Y893KOaJlDN8NstJ7ICQW2xqA6FYK86OXMBDWlZYMj3uvI2lgO2wHvxfUevaRzn5PKRZ9B6oDaa2oPWHhct6fIdQ6YrLdhj37igwqKjMQGkvnmG6ItGOomIFwvK8KkwZDUtVauK7HRtCw0ibVgTQYrRcbRcyXqsUjqUDVsZIGM66ox98CYoSTXdI1/57LwBhGTpBDxUQT3cf/l+U3EJLkrM5ElrO+fTst7zqhkXodXkJNcBQGwroykoEuBZbdrdtz1q7ruusiL+Mc/J5SrBoOSAcSG+R+nfqkgfAKSUdFz91l6L5oWmO/pZ0fyiMidUtvWsnpd1Xij+PVvWUXgX3ClIFwDelMGszdzZ/mLG6rHEMZVuIW4w9MZtMiv3sUPVvPi1MrBSJPt2iQrQzfiVFt2O2fjj9DyJezs088fn0gFAtpWvnaEwbCuprsRteROMwyW8Cv4dcAjKW3fk85NFG+7A60g3f8YQ8tnDqeTNNpJkrYvkxS0Vx0RdOuxlKC9YbVaR/M793s18uCjcRvzF43bCAkFvA5RhvWAV6jZuLtHKnDI6k+RKxuIGkuI91fCX4chrpdECL8KLqM+05cNMJcWuSIR7ob6kUjB0JiJuKB91hobDGPjxGKAPNuLSUMhHWl1Vm6F1WThXUN7/gDaVptvajJ3nMFyYirZZ192MN23JUaam8g0jCGVMRiTHxUJpLtrwTrGb5zAHP6viuNLU0zdWCzkHp8u6CxnUrOxKHXeLGaibdDJGI+IslfF63EAbS8i4a0PagBiNhenLyhGAWhWzTCVlpgc1sRCznrusffNsxhuuPdCfzefciReJyL0c75p6iuCgNhXdkNuwiSVsgWCDEQ5iKJTty/7sGHPWyY/M2NgVQq78S4MnY2OUgGSTTMPFIFK82YKx9Ju3fh0k4DoVYTktPQgBF9ZxcxLyR6tkZ3u1v3YtLxoNIem8ym1c/ugcSc64sk4tmLBtlKSzTuyqHdnrT1y+JuIWJWIpZcRlYOIM8GQl4zxdWja4KvMBDWld0aKyCRFO6PM2cv+u4DId32WodUx1x2R4zox45ImZrZ0HC2UFojkLR1o603UzBFhjiwmaRLDqohjLbNmtLBKwPDiOJNJ1Q80fjqvEaFVgx+cTvU06xkVyeNJJpwMqjEB5LkXEckA09bNMhWWqLZ2TcFs/7LYu4avjrpidBehN/u2XYl1syO0D6+vXS0MBDW1bDOVkZag4z8bvcrmu89yUikmOsi0kzdTCO0Y+muofgNu9OE0m4YKtp6vCiRlHocIw5Ms5LovhwNYXiVWFtg95UBuzp1/+cYzQhvLa5CKwbPd+67bum0pOOuEQ/yx+awzVSG9oEkOdcRScQbrhthLi3RuCtzQksjEb02TLr//if98Ymznb9mHJHKxqsmDIR1ZXSjUkgdXnvm7HXfeiAUC30FpOuGmm+HaZC2iW7Zytg62HhxwNrOxlg32nqTSFesZMRVclAN64AD4dYrA9ouqmVIrlp23pFerIIqRreoVgr4/3Gyy5F4mz88H0+M/O6B9GxqX6RuFS3dunUjbDWTaNq97jB8LZKcxQ0oPvDf7eO/YqJBErOViBdXE3yFgbCu7IZdBEkrZPzHgR6+6FJ36+8QXjTRyyFdpDIinN/I4VyK8E3tbpfFJt11RP5AB+A5pJmeF+pE22sG2xUr3doiDOsAJ0zAEwNbdCK3XgLVpO94vPlC8kgeVoNoK2le4xgiSbQfh/XcAKNnU7sjaXjGuhG20irAMPuCHKcFj2gffo54bwSklvj8BjdvBJKLMBDW1Uw32tTxX1PgiUrnxYvDHAyEOwB+srtjBSROWASJlHaYA7naoZfFU28rwklqgZwtzmh2LGnrhjrRrku2B0P3DcO8y0xA0UodTNdoEvC0tqL1vpyqNcSg0d6UXK3HI1kzjnh+hDSvkeRT4+GheLYfjYLAneuIpOHZ67qbSwxp7WBCaPGiLYY3Jxmmpy+kaA2NSmQuKAyEdWUXsv3rBvy9dbGwLtd67bXBsy8kuCLNZXWQKhjKIBFvJHAOTRSSeusRTiwBNbzojrhkqFAP8lzTauZFK/GDcasbSCIbr1Rp9cGwj+ZWirebHd5aXHlWDMbDb4h263i8AEQkLarbew2MBLzJNORUEWycgZjvjGIVimTkflpoGVWI32XQdhd0hxSNI1LZeKWEgbCu7Fq2edGzPyYu1lN6jvvu/FOwiXs1Q13MOsNlt6iMXngXifR6SvGVXUQyYikq9eYinFiuDfGCjGaUJrtGxTnx/9s7tys3ch2KdlwOyKncX0fjZBwM7kd7ZIo4ACmJeJR09po1S6pWV22BIEhYj7Yi4ydVqJUToqotglMEpv2NbIzmWStfDK47OVZOnk8a/k9f99E3dNz0A04JQKVldZqc4RkS9CxDyy1IDE58mOrjA6y7Z5WW9RMm23EZUePiZzjUm054XBJGxsp/OOgNYUPYl83V6AFe++4WS0nu8356fIKbFajCWbcfonwlrVerJMbaM92QlND5kwB3Pf0AACAASURBVO55B//Nz6u3Rvvzzlog4d1TOJPOD1TcIC6D4+dS0L5BVgUquSw4RQAWqxw9Pf2djMq08mWsvAoaWVgeN2MVhDXp4ByEJqGGm2XKErN+dMrKMhSUVPr2cZ8pwaxZOd6NkBGV6rAcObb6uUR4TuNiTUBBoYtQeh02hH3xq9gzKRXcEGqrXc/X/hTh4SidQMtI+s7PUtJ6tUraRxo3hE9q7Ey9FzLcWWxCl8MnAhU3iHDGwQ0E1IgQs6abDlfaHHSKgP+jBKtp4GCe65+GWgmKhtyPms4rWPlP+Uw34MA5hmdx0mZ8wHgDniFIT1tZwvAXJSZ0O3PNKlahPlOCWbNyesxxGVGpbtUByzZi9mlPp2T5ztGF62nYEPbFKWTyREq9/PfffSVYWHdrfUBD6BT6BJwha6LUIVCbGT7V3BKll6r5zncjuY/xJ52s1r/QPYSotXBZoxJWaH+LAB2CoiRqmI6V9GeVfJ/xYdONaCtRA2dNwBwry8SPzM6UfFpG34YDOmocFLCsnDoAk8o6Q5CelhQ1ss4vRijt+Fj5c1zJSR4n4YPiMz3rnUtrf/3T4+jMgQJwbraFDWFfnKVIujaEWmzL82MawoTleUdJG9YqaT0xCnq0p59ITw7f0YZQVNy0WPQGQp4qBaE+YoTFGjvtEBQluQ8InH1xAlDJKQKwWCVULWvgrAmYVkt38nzS8H/6ooy+bZVQ/YAgnHQSFQdoEmpoFc9lVY9LMDjXLDHtcFzJqZaW6ng3QkZU/PVgWZMuuTJAB3g3eia+DhvCvjhLkTwxFbNeIdTFa8sz5jOEVdPPXxpLrByZqkD5+QOXw7Qq/9AKvWDnq0SfynAxlsDoDYSjtLMkBw2ivjQ84mgcF9O57QQqbQ7CSbfMq1A9mMNOPZ+KWKgYlJH7sOi8iggdzN5lOkUPnzXpJkOxxyt0HJdTb7KdfldiQmc5WPXTL1wHfeAU08k23o2QESOBl0kOoxeEFZylW1vYEPZluSI+nFsBnyEUY7pOvxXq5lT8qhnoLI2SUqqg0s4iVKKkfW4P0Dce83zwT27CgXPEHtN47qdXawgdkzgfsUNhzb4nK9WDSoJipQ8GCVhWThGwqnqomzVwjpj+lSAxKGNpa/mDhuN5YKAERSY6SjogVpQcjYTsWma4ZRVaP5eGo4m+fdzHmWiiAhIUH+sq1vBB2+iSJe4gaqscpRdhQ9gXuCLu1FaTsIZQ35h+6yW9F/4OYdUMdIasgxI0zLdyfG4P0Dce8HzqT276ifTkEui/SHgiw/3KELFm70w667oRyWaNlDV2OVHSbjrhtVso2kH76IeF6ulLLCdggpW+nDNqo8bOlHxaBt62xnTyed0BWi2zWieV89QiDMUYRB00+IsRSjosVoJph6BK5Uw0raqfxXGZ8a6odHJiKHamnfWcruLnf1C4DsKGsC9W/VrWVo9Df4cQTjxt+LDn6R181fTzR00CCvpzSrWB8gu6GMvh87nkH1dWzgr9TKysnvDBDHfuihGxJ4X3lMSOmHPpiGRzFmM4dtohyEqGGghvaLdQrEs78zFazxqmnWkYHbTNaqBr1HIWPGEC7/p60PAgfikQNKDWSSL0HjWcfhEeP6sErayk0rdP+Yh6vtrHMo+T0TesUQuadL7n9PStvJpyL9TqFdgQ9sVah16tC09tSR0lQRVE/+IDeo+8x8+ysqpqDs5iU66kg1OudLvrHJx+a3Hq+HcgPz/1Xstw667cR2bSi1izoc9moCKSzVmMpwLlaEQEStwQwSoRykNjl1Ml/NVkObKhcXti7Jbz8WkTeBfWgbTscobGSSR4kgg9sUfQsh1/UbLi5iTYKKNvn5IR9XxhfPyKelAGmsh9Ljm2EjZwk+o0LjulLNrqadgQ9sWpYq8uM49vSUcl2ch7/YvPeD5itROuNKwlGd5IVlouQiVK0FCMuK09jzaEWlVyp95mHbAy7SXhlZIY1cAPVESmwSHTqr7bcTFrrumDQQJQyS8Ceq7pUh+qNB20Eiza6qYBZUZJ7RARN2tGW3klGwl/xGo5NMsMHx8QgVNCtfP0i5bzKSXHUIyxi66fcDR1zkvYwMHnDrN6CktaWZiuuG+eYPU0bAj7oksVnJn5VoImnlU7EjyXJb4kSpZGZrWCSjt5laYkdp6PjxFV973zBv8Vk/zhe0jJKg5nhZeJtMzz4wHUV5z0podBjQgrWY1gcl7BsdO3tXacHrzEfraHBs2vlpaGLm6nTPTdndkXFygnbUTFYbqtz3Nc73ZyLTbdFhSfnLhpQ6g0Pfi4j7ij6ZTQuLI53hWVTk4Mg8Sgqo6Glf85Sk/DhrAvOumXMzPNSie9VTsSPK3l8Oxi/JySGPU03wrKOKmVrHQ7Yq2CD6xAkQ2hHscEnElnreJa76ztMouWgToePViOJlVRyaM1jgdK/x8WqLSy4Fzaz7E4PadC+nmVMBn96SYq3/RvndJzctUaO4nPLn/SwShZBSF0EJ0a5QxTaNx0fKziMMro26d8oJWjOt4Nkhnvip1s1k/Tyul0F06HNKWnYUPYF2tV1vmXb2WVLSfp0xZsp9ynYY3dJJysJG610qmVqXQ7ok3gDc8zoCEUFTpJHMGlDEz1Se+srbNFsBJen+Ggj6Ag+DlvaRwPFNQrrFTLsdM/FTSsZ5X0JWAJ1T8azxCEM2RQJsjQyVWrPujHvOhgiVmTTtDgWgUhbhCtEYRTcvpFCcsunTPQbZLRt0/JyP3A6YMwlyIGTs8amF06w8UdzQicQRQj+ROsnoMNYV+cEhY9Gx+1EntlGn8xTkmMWpBZFyalyUoflMiYQCVxq1V+oPT+wMpwfWPhefpLZeS+lOulOpSdUgDF4uYgrEKP5vnZAEKB5dhph+NWo97+IMZhTf9JUj84Ts/PnP0pGcRSY5Qff+usoZ+rvh40PIUVDSs+lknVIGpn/eyClGAVdUZwejpnZbTVsixITHz0U4Y1QV/9+KTbUbUcJuHxp9FWz8GGsC9W5XJmZpWVqPkJV8c4JUvMkonGWml0rDKVHDFBdS1T6XYEDpkO18Iz+FtGk4fPHy/4o9svTuc5q2QNHCxT8CSnfLTDeAm/ZoZWKh0iqJqZV/qivlhCibAKI7TKD9pzGtaTet0E3rXcdDBf19BWVlJZUUooCPDkziBa6Z0TN99tkonzkdVojqr69lkT5wbMcK0aXUvHi/oOlnArrtQQ/v75ZfDz91MnfI+GUJ5L+te+aBSa6Lqmf/dhzz0lS6xqElqLzWg7yucoLcWsgctR0gf1I8cjC88Tf4dQ3BBlBspKaT90k+FBYWuLsCwOQT5aSS/Gk6qlcdxq0hMVK1EZHppaU57AQMFwxWW+lbrQyhrKuKDpp++EyPmtUybwiF+4ROXYQZa5pB9mFYTQQbQSCabW+IsJSpakoKQKsrKqpaOqbx+XsfScyhlXqSzVyRMa+snfgUs0hHYn+FpbeMWGUNR0lSeS/uU/Raj15H5OZhZW6ONHLBpnYYb1K0dJ7FHzV8Q4JV0ioQm8sfZ8+a/AW4mUPHxLGbjwaMODttasl1XCTyc55QMdtB7Mn9BKNcXfCpEexFMClpITDStW/mgeV5qOL7M9LmhWddK2k4MWPmWy4+ZM0rPA9ID/902C9MaTO//J/XhNzy7aypKcBKzbp2QmB+ugbIzmERnnhhMiXbJC0WnjVKocpee4QEP4Xzvo9HsbD0FcvSF8cjY++8rJdC1LDBqOv77ruQ30WVb5UGA5EFQU0qycUdPHc6xgiYQa8MaW5FN/Bd4y8ZfqUKywwBwTFLGztjoC1gR0AnU8elYtGvWmR0KTs4Ga9PxqmZNXMBo6UPBIRH2AdUD/yClfEhy05zSO6+mTOBNQX9o0efYdQ9NpoYzzAH2ezEG0bsdVA0cJGsIyGycGCwL0kY3RPCgDbzhJDoXj0BdaFthopefo3xD++fXj6+vHrz+Lh333hI91hFdsCOGq/ECGvfDZKstKjPXGqvhbno/gLNVQMgFrLZxGLdPKWWmWK2KcEkwVqKHDFeSprToklTXdYKaJmpLjeQ76WDJOcdDnOeKjrfREc1bloChNZ7PmWn5e6VpkiVk/Pe4zmohKG1hLp+MSGbdlFsGxO66nz2BVTjheOLteeMfQdFqnGozHpwf7T/Agm3nuB/m4kqBB1LZaJsLKT5tl8h83cW5YNdPKvTj0haAbHM1W9G8If//ca/R2HzdwoYZQjFo2PnjrpAENoS4c0PAxz0dwCkF+aZhMBNUCXb+SrWBZzw+Ulc9OasGFM9RKjKmXXNmXMjDZbr8Lb7/oI6uB28nzswHUcdCq0GerUr3wuetRD46dr3eczUBN5qJG/KAPFLNsrWw3xV57BUyM4GxOvYPlwp9ElqSggf7La+8YGh30QDjxsbIoIe03/8uxsuaaVUVDZcTIE6eE+qP5uomg5+6HyLINRU98P/kTlJ7gIg3hutN781cIRdVWWH8XvPb32SYrUdNS7ucknIoRM8GppH6VjwNe1CoKVVa6Wok9cHE+1m1tAnMszsqKFYxbNFYm+0N5e8x4nlM+1oUeWgXPRg9mlFMznTk4H3ntc9fjDWjoDF8E03VliI+4sdqqpS+/TxsedArXopa+/ArYczL64Otj6k8i6ObVhJf/gXhysCadfoCoWDlP8CBWiPz0zpmMluHkkCAj9tg5JfS4mJ41upbqyXV80m2q6pyxkj9H6Qn6N4T/fUDQe9fo+3+GUFR6OTPT5ERDKPdp7c/GnMK6s1RDmTicxXiyksTq4MRHVgMX56NvWxpw4YxQ0qGAR/LXG2vi70xJfftFHzFGxE8zeJ5T6FDoG07KmWIvf+7aMXRm4s7Jn2OKzI6YFcaZZ7/JadTQB7WVn/Prq7/2Sbn9sTtbK/xJZA2ioGCKBDaEgsKlH6CfjpdaJ9jMJa8aBCjpWuTUz1AZUSHylfzRPGLi3ICzT9REOGvl2FoTv0rpUS7QEG5/y+j6g4YTF20Inem6OGPYK4RizFir4q81HgHWLOfu2atbSjo48Mj0FBKsoB5UzVGa3Ma7+qDcx+q4pzWt/Lw6KLAUs5JKL9Iwu07Z+svwUkmf6pQVnGJw4OQ+fyaNf3dPvM3eMlxGLAh9FWcoLW1w3hf+1ovW0Af9kjWdan3dFz4pp4dMUFS13ossZ5CfVHf/P/QPxKODFQ046WAWJWT+ct5phxwlR1LUKIf6aCtnNEfnCBPrhlUKRAXwrJVjaw2i5dmNSzSE39ht4cOd4F8u1BDurMpbSXboM4Raz5qxsOKvPR9hfzlMqw7WSuzcyLGy9LRnspK+7afW+LCzPtMVnamnfeJwMtlKNkERO2ULrwI9ZZXnB6PnxMHKKGsQ/90NaAgFjZolH4GVKlM0/EjOJ30hUFaIpp86hQuPY0BDqK8L6+f0W6eG0joPDNGiMuQ2hPoxOIuyui+rosJiFaokKGes4UvwccqjU0Kt0TxlYh2EIdLRS8AZRGjbkAs1hOfp3xDq/1u1XjYn5NGGUCtN5jD746qG9rGKfjTOGIlbyKKtoJ4jlqYk9wlsFXRY98/6OBpWzmcmlSUpahDlPlDjeY7IyH3CjDIPBepg9JzI+FMSavzv0KYZJjC8AYcyCD0oy7FbjObphlDU6FjjiK2ONjyCAmWNmjPir+NPIugGBzoiPrAEwcGS+1FbPsGDOJKTcJqVnlCPFqvjMqIGyFI6nuFaRk8ouR+7ScBPsCD05ZbFoRtv2xBuvcm0fUMIkwnWetlPtXN/hxBKCpqo8Ayn0DNQ7FjlzEZrMYZH9LOIs3L0rPU7WgkmsKWhg3Y8l5YzbjouKWMnaIzG45bn7THjeY7IjDfgKmglmHWqI1ZORokaOG0+i5373DWU9AcuNK+mcfHFrJ/+O91rgbLmOEyzpdsRJcdzmdu6at0dOfFH/5zjy4Lw7/9hb6nVR/zQ7TzBU2zmUrTGpARzRozcTgsRLKfWCEZY6ZNb2QVtMwdRVD7DqZes9BAXagj//PqBm7oHv0rmH5duCPVd2Z+Qr31jHlTSPxJ7Tp6dEnAG+v8dvLqlZK3EcG2WmGKqraChuMMaraTXm9EWZjhcOM/67KyC+sGhWENm+cB4nrJdjoifYPBUR7CyxamZVmT+F98QCgoXrA/HgVkk9yNr+YD6kNUQwvkoMMHCGkLZGDXrGZ36o3+PusFBTGsI9f9hoPwneAo/PrpEJGDVJTh8khIiQVPMUh2dI0zk/ilbUYI/OuuztJ08YYJlKj3ENRpCsxd8rS28SkMIy4S4M3PNC39TyymgsNxHV3xnBjqlP5RlKdfxSbPShpZYgpVWmn6khwzW/YM++gYcrOSxgxe1RlP/X9Q0eV1mvGENnOVmne11nDg4FRVq/M/awY889UWjovJK3EGMwEoSmFR+DEVONoRyH5PpAdrBq6VHG55NDbkP43jwyFeeWimh3cRNqkV6v/AtrNb/nZzfeYKn2MkfbRWNX0jhT6NlRIVFVEbpB8eZWAdhiKoG0RrBKqWHuEJD+Pun+uKY3z/HIxt/mAJyrYbQqu/TzEwopvr/1voNV0c5Xcv0yXWsdCRDcUq5FTr9RIKsfEOr6CcoLQ1vx+U+ngclrUXOmYZ6qQ5iOfEt1ekZHbFdjsjSxzrb62KwJFolFD6Xu9spDaE/HyOAMwjOx6XqXw59hlArjTeccIEcS28IRWWgbA7l43/W8iE3a17gSz+7NYJlBw4QrGP+EzzIZi4lmGil8YhTrELdrGSG8dE34mQsPWcaZg6i3AdBB0pS0vtp+jeEf379QL3en18/7l4VBF3jkgs1hOJORb32hFrp/8NlYHoAPM9BJW3o1PpTl3aUYLnUPxJU5oKUpkv4ZT2nmOrstWq99UTOSjpLjnU7s8r7E99K+OkZHbF1RgTKTPLO2V4X01k0eerHOM9L5MCrKLpGWdMtrVhZIbLmoD4y673WfVkZZQ2ff3t93Rd6HjFGTT9APx2TlxvCpZun9NrHGqEAVNKPCU1yx3M575LF9BX93I5205fWB3OGUj9lHSU4iHFKvi3UEz3p+tG/Ifz9E78fdD5uPc6heUModhl1Klf0BNCZ7ZcGq7AelJxOtVPrT13aUYKhcO7qJ3JcSexKaoklrDpwCdSGy4ed8pluiJHM+Ukl9pAJSnstdjDTdN46qyBcqqezvegDLz257dRMXUz+3jr60S9n6ulAxaUWDI6oPFmm2T9e6L50oupBscI1uomO2LlXwCYZf9SsGWHy+KvNvptVEyQstWDCTMfhIJ7V2PGE1WmR3vFKVj7r3I52WxYEOMoRVvApW6kOf3Rcybd1CqYUJfwmF2kIwUt/UwP4/THDN2wIRU02nVuwiOQoWWKiagc8z0Gl8a61TqcVektg+qmo0UxQGo9YQwZ/GmTlZK81ZLDuH/QZryJuhqdl1HRFLSNo4GDiyYlMs9JGH5l8cqrB9NyXJlZk7u4e/XJIPZSToaDAngVexc/w5VA+3X35E3w6DjXggP5zOPEK2KbGJCP3w22S+K7RoNSCNVNUxKYHpNVPrerrJVvBQgoHTgLGDsqICstkpR8camIdtEJUMohWCa1S2qd/Q/jfJwTve73vg7c+8e+3zrzXW0Zlu+/Sa0+C0k6hn/6vz3NQyZJ0FsU4YN3UJUzQaEYrjUdgtYI34tDZC3cVOsP1w87KwJrurIsJVd5fWqw8j1i2d0bkodl3tiD4WaRNrPoZV6bg1LPS7JSDpaTDBYfS8px5qvuC8dGe0EHPiNDJaE1/K4ayOZSRDaG2MofvBayMEjtcXiJFsp9LmUo6bZxiFa1npY2g0YxT8ouzNYLaPI2d+pmstMkFGkLzS0b/tn+3n77bl8rIqvuCdyW4TOi6IPdZvlnxz84KeHK/1p+6tOMDLy0qIDljNxXu8dJ+uU+IlV4CoaH1sIOSzrrrp7pEjt2oB01GeSvr4I1XTODa7MtopekMR7BSGlrpq1u3X7fSko5YQrFyStD0Iz3djtcHHR8oI/fj69w+YuWr+uk0J9LXl2d14otGHTe5j4+EpZbO2536mVA8tadfoBISCVqJGkQxcjvazRpBuY+exIfLL9RQSVTCpzFd1JmD3bhEQyiimsKh+XvmzaLfNG8Incnm531owjlVXlDqaz19qoNWt7s7/526uuUDlxlRA6qHL05JVEmFV88sXrB6QkPrYQclrYF4LsOPYy3Mo6S2chbRV0z0aZeroDP7zlaDZUpbma+fxUErLQn1rJ8exwrR9COrXp1Nex0fKDNZ6UEMjdhSw5mbtQ0h1PNP9Rz4uXdtCKGSvp1pJWoQtVimDLy6zqi0GWcdhBWpMLWs6JUobXKZhjCCKzaEzmzURSRCabqtxay7Wumg5HQqGCi4NAYBrz79SD8MPpezSqIG0d8r5MQKKlmG47M4nvPWQFjJA6MXir+6WHmun9SLqv5wWCZORh2vBk5KC8rt6Amoz7wToui8gldxkgpqHzSBYvqGPx/12Y5jacBkm9wAL38kVR/fTKrjgbLGwpqA4kcmEstE385XGo/A4UuTERUKa+rlmFgHYYgKU8sJV4nSDmwI+6InG1yS9V0JS7j92eisBPBsB8VuR5z/zl7d8nHqJqyw1nM5qKTPb4UlbVHUl1iuPXKfWoKy6xWZ6SpiD2h+oV9OfD/bTxla01mPoxUxfcIjYnI/WNptWTPjBnE59ayBS1CCWbTveVYGKo03nDxPGEdfwxq4v7cPfeWp8+z8dIpOLSuj9NWXNSGaZXzyrfRFrdTKkRlvOHMw2grMI8ME1q44MYtl/cxX2oENYV82l0N9V8Imp65TWmn6kVNbD0rqU1lLdc6chJHRB/Vd+FwOKunzW5FJWxStJRAaWg87KAnXHj/VM5dqZ7DGB+hH6mf3usZ0BJrANVubnA0drIfQxIrhQRnrtFZwrCoaqjSFaPqRVRbOujkZZRUErZczGXVwYDrhpDrxlafOs/PdgsqmFnD+n5zkjufmBEy2EjWIkpjbWgZe3a/noSaOXk6GL5muC/OqIWwI+zKl9XQQ5n1OoZ/uWiXVWqfhEzwrNulBk9BpadUpUXUNDlno2MFR0Fd3Bi5CDKaWNtTH9e0jPpaG3MfEWofisBwcz4jU0qMGjziB0iYHo+dki2MSOgH1aTfTKa1STXd1EdPOZ9Peio8YmWbFKm0aQg1f+7jAo256HA9ajQLw/1Zu54yao+qUzWQxayaWKMEiIO5QJphYB2FJr8orJ1wlSjuwIewLTGtYtqy7EUr6LlxgrPIKz3Bc7HbQKfQ59QteDu4Y9AMifOBtK1CCKmwEMDGctWd8FscT3gmUqOA4eoBDfwzNGqzpp3pY9ZN6xUGfCqa08x885xF0VixLqJwOkWU1HfFrlBihFjmZTvoqOjJ+5j99dW0CxfQNK1bRxUrb+qMWlFTO2TYn4HElS2A8aM2+UJ+laisrWJdyBg7KTA6OUrQVnEo7NSrUysIJV5XSEjaEfYFpbaU7LCJBSvquXozhCq1nwkFJfarlWhg6LfW4OOESVT68U7/8Z770KPiGCbGaLgHv6oNyn4RHJJdJLiir10v1oc8OaRNRyWMlPHyCrzs4B505CCfs62KTiT98Vs2My3Y49XbEZqXT6SR2uAQleURxsFICJrCT56HFStv6JnFJ5ZzQd1sXq0NuMKMck5yBmzz9+KSl02Ql9iBKYqB0MZ8MM63gVHJqlH5wJrqAHy+Yx2FD2Be9Ubgd14sf3EMEKY13oeR+bT0oCTcTTtmKnpZ+KERFT4wyN/PsRtA5uZU8aYuivgS86z/slKSTolYyr2u9NUYvfJ+Ek8wwwc5WBrgD0AdhBchZF3dSGtao8fERVvruTom4+8WAdBIjr24/yhlHP6O0qp6PMDODWKbTZHLWyjnbzsAd93EEROUVTPWcUZs8rUGstRIjhpnpPcqMVxeU+QlWsDjrVIeVP58pc4IK5lnYEPbFWQthdbDuHlfyJX09uN4HuelLP7CVefntWFadgj8a7zpP55WNoLMv2TEMLWFwOdkpplb0XpSxYuUsOV6g/NF59hvn4VzTDxCUZo9e0XHQx53I7M6+EzjZ4picjRK0sjwtN5nGNyadRhnrdsI4wiJgjY4VK32eIPx00iZnrZyz7QzccR9HQIxYwSPJ6MHKDNRSSe5jmK+kc2m6m6YEi7NTE/SDM3HCVeKzAxvCvlhFQYzU9/YQR5WWkpOAY3VQEp7HWQ69yXni7VhO3RQ1guMjzafz2kZwOqG+Cyt75u4BKmk9K39O5ZK+hPa05hp2iGwIRY2dNoTD+uhFLYfl8Ydn3yH0iIxulsnBEDlW05FliO6iejqd5P5Zw7kvKs2CxhGWKWt0rFhFp5a29UctKKn8s1khsmrCceDTd/InbdS0Z2GUlkpQMlNppyDkKFnzyFFKsHLww9UQNoR90WuhU1jFKCIRSvCIXoyd1do/5yk3MYKzmJmH3o61v1ewhvUxgdMNIRxQ/xKvABNjPGKNmpNaR0z0bSvVpwf8ZSdtXugJJ5/xKTgj+HqgnFP5A5e2LsKwiBo+OAfh8zorBj2dQvH3/5HpJHa4RMUzaChhOvky+amlbXeGL1TgUbe0PN+cgBIfK8dzGZ8SK7EHMVnJGsFRTO7HOsdEH6wN1IReWTKr0xOwIeyLzma4a9E5B3/3oJLjuaytejLE7SQsH3383y+c+9d3WAhEDQ2s++AZvbwR9MOuo2EV/SD0JWBuWw/Tt180mY5Mt2G4nsmo/ccoSUE5Nj0LP+tewTmVM45wMsaxk9KwMlhP7ZSVvrv0+XsjviEUlVfjbZj/BwMF02nH0BrEaKwKAOdd3NUfEgsaO19gug2jlDlwWrVkBJdKt7u6ICTLiDtqaSV9ugH1CnNpBNbPDmIWbAj7oqe9U1Wdu8eVfM9HS0boZkJUAbXWxb8cfTuWdd3pp3C9nJ9OcEOoDZMLmZUbSw0rei+aTEem23A0n8mo/cco1kKyAwAAIABJREFUSbnPbRgW6wFHxlEXqOnSWnUx+04Dw+LIjI+BT+2UFfT0xf7eCG4IxZh0011o++hFd2REpdkyr6anEI1VAUbt0LL5hJg2DHXzU0gbBvksVWEKVVnBqTfdyJRxrDKHTxdzqFeYSyMJ1fIsbAj74m9Q/OIVtC7Cs+kF27HS8yFuJwF9PJnTmy1rzZt+agXk7umcbgj1EWujkLl7gEqWoX7MqYR3UhSOqajsujtdwIe+9NWhtpXqp6IET6Xzx5KJXhp1WKwpCYMT5AYj5kfp7lmEpdMkI2gorZx/7qK+yXjEGh0rVvA8EcDgpJn4Z96ZevkT0KmZ0QXB8SwsU76VI5ZpMt6wcl7iJ914fni7fNQmYPJ3EIOwIewLXAKdwioo4Y5nHlytxxtOCZu09ZM67mb56LsiUQ2h2KGY9LTwA5d+8DOE+oi1NmfuHiwlbegsBsdNoJWoyJjlPnIHD3PJ99TP6BUBeDZo4pSFIHRYdLisGgWf11mx6Yjjc/cs4htC+P9JUt89hVWpdL75IxiaWlDPH8G4Sz8nlhAiK5esmpk5apNn4SA6VmJne7KS1hA1jjlKug5AvapcmphWnz5iEDaEfdnJe1FJpudqkJU+6K/T1lJ90NA6lW/yzyeyIRQ0UqLGCx7ZuvTLDaFjKGjgjgMvYdXTKYXO7iegxnRbm3jl/ugfjps0pqtPz8IqCK8HyjmV4wYnYxxWwVnWKPi8DlpZnr7PolK9nE5ijJ32FD/hXwPOPp1vTi2Nzitoaw2f5OaS/qmVXQmz73ZjM0qZA6dVHbdCpdvdQjGrmMMjaSaOXmEujViZX2tlwYawL8u8F6NGwM3EcSt90Mr75VJ00NDS210XAz5DKGiw4HHrF9cCD/4dQucILO45FR+eX9dTUVl93E3PGj061tSDvy5y5m+ZaCVr4usjMPdeF4Cn0vkjRtyiV0d/0mkfCUgnaAU9tQ8UE4lKp0lmvuhGMT8CnH0636yI6TOEAmfcZJKZS/qn1qglREmnrlOX8scOeqbVgaUSnIk5A6dlHKu0dBplrCpRomQBU73cyoINYV/0+qdvwxph7iGOWjmq1hxImKiW3vK/vw9t3hBCh20rfTZdUpeG0TsbS8kyFJX8R0zgYqOtdvT+8fV1998hzzFuMDJWmr1+9emGdtMmaaVgdIMpDa30Y0LFoKcVojlWAel0u2GFwnF7XUCbTEe0DFQ67rMp7JhEl81HxRKmnhaYjjhi0VbQEyqJnnfpVpZYvsxoNRlmWsGlp1bJAYarVsmCDWFfnFyfbsP6BefMWSuoJ26Vj66wlh4MDi4cR9+OZRUpv3gttjXPbgT12eARuHgvlE4Ac+OhcB3U0xqWqqV3RGMpKSjHxgfEzTs/5lZkxJ4LEegnrgMCy1ROtk9HnP/k9PD5Ss78ssppkMl4RKdc/sBBnHTKT6R9sYQo6SxyJqDEJ7njuRzEEisxsj1faaeY55s4eoUDNwLrZ62SBRvC1vh5L/Y/SerKe1wJHnfmpC4fB6129B5YGs+9HWsaQX056DDdfu7Sjox/BI6axNcya0OwDJcYM+VFGa0BVS29IxpLSUG5PT2LoIJgFaXp6pOJZRWHvopfCuQ+pKFW0xE/RNF5pTNH3xaUbxFWcPbpaW6FKGcCals/naKv7vzUyfZQrEVtOfXyqQ2Ur3S7W6i0LOZpSroOQL3CgRux1sGGsCFsjZ/34i4/QUujdbZJ1SkZoVPC0fNl5l889HYsKyxwH2OtnU9f3ZLxj8DkySmyMGOX4RJjprxoojW0pz/1otHZJSp5YPTOXt06p07jzFIwuUEZqDQ+ODrVpyM7NSo0XMuMsjzjTBwxMQZR/3oCfjqFKvln3kmqUHQQrLIpKtkyqZp0O0rQMF9maZVsAm/XRkljpXpD2BC2Zlr2brf9nQ28fVxpqbq5vzmOY+j7RMiIMUZ6rzA5wKE/YrI8CJMnZ3W0MnYnXGfdoIN+gLWzSSv6U1i0uZVyB69undPZN6xn37kPyOmwOFNSZ9orl94Rm474IYrOKytE048SiicMDpRJU/Kx4qOd4y7t/PSBqRemBwPSYey0XlzNfEJJT/+qKOmh1JL5JtPBDrk0oVOr2gjDhrA1MOn1cWffcDz/rFNpVcsquqI5hpZG6CyFgyVuoODDDpr4B63dTMLq6Ce8M2Q54fLXntEkrehbuTQ+wFI9dXV9W19d3EGcf/foV2jCgmNVgIQCNYlNR2qtYIjg7czKOd7dTKe0Caht4aiJMUHOXvohsbQoOVkEraJ9HKwlptCqdn3RMtqqZPimOmDp1abTDauWdoMNYWtg0ouaA86+4Xg5c06ll2polbyNGI8v/wv1gUMjKlyjrfN0XjHxDzq7meRYaSVBeSVDuM7K+PNOUECSlyKdVL7PWTG4GE8P0HkOrf79TvzfbBQ3bhGBcqymI1apzLGaQmTNrxwla/bp+rlOqnjgjNMlNPrqzk9hUiVECWYRTOy0smnhVINypdvdwkBpDUHhypSBa1CVkoVTS1vBhrA11n7LX5tDlyLnVHrBnqyg4XGs01rLYZrPcoysqhE6fPDkcC3MKbIwY2FwJo3jSvppWlZLtzh0dglKnqCCsIy/ZWJOvaN/92Vy07aWkqDRP441GUvKlLayMkru0ymzksMc9utqJnqupaWTf/KtqReJXtfgdMtUsjyr5t2Okr6bLzNZSd3YTRVgvN1h4EamdbCDEoQNYWus/dZyZ6NvRyjpH+mluqTuW2e2NHK2NTAsgkqY9YsHZfyDMDJBGQVl9HAsF8XjStABKtUu2Nakszz1E3nx0vr29Bgrz0GsghtCfzLqcXzuco+KTUeW/6UpwblvSYaajEemQYR5dVxmBys+Ep9O/sm3pl4kU2R8marhW+oVKlliJT5yXxAyC6Y2EVWypEGUNMkry3OwIWyNTnTrR878PJ5/ztn0gu2Xs6CJYZ12uRpF++ihGcUmB1jvTpn4B52Mil6zrWe9XBSD8tyfd6JiNakmAOc79Dk+fE5wxoMw/8HU2ynIL/SE06AsZFI2ptbUs8QSrKYQwfmVXznHuzqdRI1mhMwSf8ZFizknX6Z6AlOZEiPVJWXebXo2sdKJJPeRTJYZrbRhiYmlV1gNJsoHbgc2hK2BiQ5/5G9rzqbgcuGRVVVN3kaMx/39VrSPExbtELEUwVPpg9aoTf+PAFZ5UWMnKrEjhk+fU09JfzTP+liSk89k7uTYwauLnV1WIs1KwQ2h2GHRPhKTUdDK8rTqeZqSk1EJZVPUk4WpLsYgBin5OLkkwWPnn9zJqzglS+B2xMnzKkKr5YtK0ibDR5NCKz2tYHZlKllkLitPw4awO9Z+y1+2Q5ci51RwwXbqftpOYjy+3HLFyUyXFiNQWvW4yc5BLZBTZK26qYMGw3XWRDtYqlDvrI/jKWiYprsRYlZRmh7jF4S/PypqCB2lhBFcZhTMrhwla7qlKekz67KpDTOnnqWXHKjlyZ28ilOCek5wasdu1OuQS1BJ3y3xEbcgJJvIffI3idJE8rLyHGwIu2Ptt/Q2wtrQHF+KnFPpyzlWoRPDOrOlkeajdwyjmA6U81xe0Vgeh2EpiZVWEqPcH1fS8ddKWiZ/KbJyabobsSDtxN9JoTnJYz5DKGreiT31klduZ+ppN/j4UKXpulPQJDhKMDiThqjBzZx6UE+MgQu18k8O0ym/RokapkIly9OaerVKheuL9hG7TOWbiCpZhUoWyTX8OdgQdsfZb+ll21oX47aAzk/9DU30XLXO7CxCoUowLNNx7RBRQeCp4MbLGbWcsdMJ76/WEUr6mVprj6AoHfexJCefyTwuyZ3g+IZYKawhlPvgLGXSRtCaelAMPj5UCZYj7ZYjI2oQ86vTEksmwco/f1WGT3rWAtdh7HoqjTKTWJXMaDXplcj4VT3fSpNcw5+DDWF3dKI7P8pZiparzqQETRKmKzyzVVijfZywOMtPRAWxwqKPwBKWU2dh3jpZZD2LIyY7884azeM+luTkM5lrq1NuTnCm45ObGDkf8XcIRzcrLNonZwTh1LNk0pLKn3daL8dkPALrkqRPPY1TE3Iu7fy0Kp0mPTjjpMHY3fQkMcMfUhIVtCoZuR+vKiW9+kO9DmSWgudgQ9gdZ7+lbztL0cGJsbPqCJqWemMROl2tM/v7vyAfq1qJMXbgMV9fd/+9bLI8DnczybtAmP9WYkdY6XM6SoWrozVM092I4bOK0vQYp0bNPjq9T9RqWHP8avD6RffFpiOZ1clXglmdKWbNOFEJLxVTbwLGR+ypcfzSzk8LM0rcwYJzs4raKO0rVVnBVaZKaZRx9DqQWQqegw1hd+BaCO/CYpGwBbR+qqdltNWmpLP/y/GZFr9loPBzee3bNXaOw7CUxEorTSbOszgi4887LZO/ZsPsgqMmOkqv/VuDX6Og4XrqHfrnDy0AE8aSyRk+Z+pptwQfURk+jd0kGW0FE0wnvBTFasLJ87RLOz/Nt7IcBNWlqlEbWZSmNkqFVnqVqVKa6oCl14HkZeUJ2BB2x99swTkgdnMYZGX91Fqkc4qadWbHJFTJ2cFMYtNB+frCSkd7QuvglD/JY6cT3teIUNLPFFpZeXXcx5Icb2xml8iBl+P84DiGcQXKAoZFyySv3PoqToFK8JmUdBaNtxOsrASbUl1U3EKtHArHzr9K2mLnCOgbtUqa5krj3UKfUaxWSdfqDkVAk7ysPAEbwgvg7HfhHBB7hxqhBH8KZRy9IODJYWFNUPL3oPr4aGs9l+d6Qiss8GD52E1J7u/8IpT0M9V3dUzyF8gpTyyfO6sTH9jzgzMedxIpJ1Y6Z2A6ZSqNGtORkhBBJTjdMsVgjlkJnx+ricJc8q9Sm1HiNhIdBu5G8mL3kJLcT8NCGUHjWCsz3mgycCMNlUbYEF4AZ79lLZO6kJ3Nwp1VR/tAt9C54exNLZlQJbiDEVTrrcfMnGsI4XErkTylQ+gqr5UEhSvI5KF5p8USgNml7/47eOgrPWHaLA1LNoIwT/xqEK2kfW5HrLKZrwTXkZKBG+865TRz3mmsUcsPlP5pVYbfBEYTUVlUPnbf1EbJV5IGUYKrTJWVrupVS/CSbj4TbAgvAFwLb7f9nY0+GKFkPcDZjOYUEWdj6v8X7QNHSot9v1l0sZl4+UNfznEYlpxlUm8dpruW29/HHf0Qmn6yO/Muufr7yyEI17m/8eAEZzpuDV9aoPRssnzyraYjHQI1yVhimTKiBjFzTdnBKpU5Vs5VnMqZBhysPmP3TdWku5CSXmWqrMDqr9KsCd18JtgQXgB/swXngMRvT/1TTUugLmRpdc3fm2q3UCVduZyw/O++ITTJepFQjNQKQif26CMoqf498vTXVOonq+9Gz7gdyfGGXhEfTvJnXyTcmXTP+JwAhkXLVI3deMQSy7fSWTTeTlCyEmxKJ7kPV7SVQ6GSc5XCeTc5iMquJgNnKZVbdVPSBaFQaZxu05HygRvp5jPBhvACwL3CeNvZCOpNapwVfMA0LeEu55TSQ57OfitUaRoIPTR3Gh/cEMp9TPRxcx0K+EN2cPpYy0/hxtTKpenurtXphnAyLNnc6JypKk1QbDpSuwuECw3MqGQZUYk0+ZRvvMoz3PlpbZTg2qfrZzl9culG+dhNMqOV3FeGQpnxRnmUJrr5TLAhvAb+TtTZmOodapCS8wDLJKeoWee3AhVt5WxDb8fvHPyesOKPT+SPnc7/aTv47wHn3gapZfxpKENkJDFKWsnaYD2c4fEfI9SS0cCkgj4lYzcdySxNvhJcRzKV4OxzimdmoDSFueRfqDCdbgKjSQclSEl18pnWl3KZ2w2wENfJjDf6jN2Nbj4jbAivgbMTFbVsS7+GECqllVp4CWvvHm3lhGUS+19kQyh2WPQRS/LpSz9haO1N5X4omzSEhZsJMzJ6KI/Gyq9R4/HyjaDeUeXXActqOgLFSpSmvBoN06wsH7kfQUGzNZ9WudTBanQQO73LB+4ba4GuVeqW4VJXnSwZ7ValBGmodIMN4TXwN1v6rrM9DVKCD9B7iJLtsr83leWCdPpvZPubKq1hRunlz8VtHtfByR87mPOz2E5AzvWEcN6VRGnS0P/HqVXXEAqadGmBmiagGOlUNXbj3fIt1xQlK6PyZWQj1XOsLApzybmWtcpkoqv6VDbzlTSFk86itjpBH6nOJS0zHim30jRUusGG8BrAPfp4G04DuD2NU7Ieoxfs5Dri7E3FDtdfTn89iajKpa+7NXCHNHaOW7mUUNf01mG8O4tVN4SiMlw/LBp/yz4P3LnPW/o1ChoKSq0cdFi0TP7KvZx6tUq6IiUrWTNOUNrnKDkkL3P60s5Pq9JpdBAjkTqMnfSIkqaV0rSsSOnYaYFyJUiTsYOwIbwG/mYL7lPhTuJsIi7PprehegFImB7LjakZqICvJ5H7sAgq8VasIl6o3DnuDN/rGvuS1t70393chhDqlUQJKkEHoHTonzz8GqWP59cBy2E6UrgRXE69WqUpsaeDyTKiEkmmalCNVd4zr279qMpqdJD7jBJYneqonXcWrXx0ESi0mhY+QUW+A03GDsKG8DI4O1FRy7YY5exsIi7PZpX7/DoLrwL37v8Ohn0aTe5LFRwmePeVKzoay+OO4XElx8Tam453Q0dNVDX3A1W7EYQjha0OvSnar1HjcWvePX3pR5nTpn1DKImTzrHSkSkZuPG2n/C1FKaTc63CDB8dxhsdlDS6SpTTLVBTiGqVrIJQqKRpMnAQNoSXwd9swY2pqPX7bCIuzwZ37SVrpL83hW5pDaGgYcrZdTlh0Ueq9qZTfZ+Oz7Hq1BBKbqAmKz31BKXW8ev6RyyZku3yNMVqlUaN8W7CwO0rTT4SVpp2ZMRO9Sa7rvIM37FKU5ocxhsdlDQlGe7TLVCtQqS3VeJOhBKaxApypYbw988vg5+/nzrhpRtCMdbp8S7cnoYqWY+xNluZc8Pam0KxhDcfWgK343BDfxbrnDDZLMNopsTWt2e3mDf6jteCPqJGc7qdBtyyJ/j4NQoaCkqtHKzdQ+1+y596JVZwoSnMcD0BO6QTpFDJv1aHKFmJ1GHgvimvBppuSoXLnCMD7zahQ6AsLtEQ2p3ga23hezeEgmrH8URcnhA2NnpXkQC8EAzU/+IbQkHFC27cowPlhGU6UjV2OrFHJVGxEgn5KiB9XUuvKsO1kuWTlkvWhZxUT0OXRKts5ltNR/oo6cSuGrjxtl5ixM69TDpkuPWjqnQaHUQlUodRu9EhShO1pQD6SJuxs0p6N3paySUawv/aQaff23gI4loNoRgvR9xuL3c2ETN2ecJpea5qKsRQhSHatXrfhlAf18EpGTtrbwp8Tv+xEH1drST2OB4U2DEcb0wOoUr6tP68i/ZxsHYPtVsuGMDyXaCedzqjqmTGG1NepSlZwGKefHXrR4XpdHMYb5T7aDpESdPKqqoIWOhtVakOpqeVXKEh/PPrx9fXj19/Fg/77gkf6wiv3hAKWqenu9GbiZ0T6l17yf7G6XywVfyn0UTVU71Lxt3OOZyw6CM5So7MdEWdWjkyUGP8aZMdPIxPqJVfo8aDVqqnodMG1qhMpVFjvFu+Y7YyXP80WUbcVO9AYTo5l+vQVMC1r9XYSe82tVrkL60mnd5WlepgelrJFRrC3z/3Gr3dxw18YEOYoGQ9Bm62kkubtTeFYtENodiRuf102gu+fkXLYef4ZFg1cPp2SSI5SjpQOVaT4eiZNnB+jZqOVw3f6CCDISwFyUpix7CJkk7s2lZnqqIlPg616eTPvvJAOWWqCYU13KJblFpNOljSu9HTSi7TEK47vY94hVCMfxy93XY2pvkdhRaDSplzA17L2wVGfj2JoOKlN+4JfYUTlulIVavjdF/aLcfHVyqJ0oTeIufsupwaNR0vLAWjm182k5Vkb+oVKk2JJBUZDmec3Gd7spJFbauzM/uSlSYNURnVZ+yEDeEGrSad3lOV6mB6WskVGsL/PiDovWv0Uz5DKKvNlr6bsJNYnhZ2OCWbCavz8QIV+fUkcl9G4TYrIVDOpkGrlo/dFDGdWmky1qpTGKVJQ+6zKGfXBfsZ+LDyjaAeoJJ0ssTGu62UGjaEoqpBspJFhwy3flQeKLj29Rk7aVAKNN2UWk06f2luQk8ruURDuP0to+sPGk68QUMoamnUd6M3EzvnhHvTkjri701xoMK+nkTunz6MTMKuyzozTDasFBkiLdNhBz8NnP5R4XZ5tIJZHRoov0aNB3WqByk56MhIRTppq+luK6XaGi4oPqNGk73pjcKxc67Yoamw5l2h0kT5vNN0U8pZVvaZlt0OShMNlb65REP4jd0WPtwJ/oUNYZCS85gcpR0TfbDEaixecJuV01dYJ99qdYJfRNUm+nb+RlDPtelH5Zt4uEtOCJQzxfTB8o0g3D2Ub7mceddBKbM0bfqIGrt8JYsOdQAe7xCoq4xdtcgd3azy198dmfEu2eFCDeF5rtgQivGPo7fb/rIdNDeWp4VNDhtCQcUL9oQ5GsvjYCMY/DFLKAP3gvnp5DSEUpROE9ZmK9pHn/8qDaF0Grjpbh8lnUj5Vk5DWOLjwIbQoU+1tKDSEjaE78HbNoRbbzJ9i4ZQjKV6vBtdai/UEIoRwEKr8XJVDaHsvbAzxyf+i1gtmSliUrG/mQZucuuwv3EawlCrhxrCDttlZ/jylUaN8W4fpbRE2vdpJTbRIcPh8Q5Rmsarg9KELhHldItSq7FjQ/g0V2kI/71f9Pb+0Lu3kD74dTLfsCGMU7Ie07Mh1GL5PronlNw6u9MQTnodGkJRqXX2or6PtepMuVS1JsFJJ/EZ9WhDmKDkMGUOG8IdpYY+MmRRk73pN7VKzkU7RAnOu1KjmbZKfaxajR0bwqe5QkP459eP+TODv+dDTzWFF20IBe0VxtttG8Jpte7WEEpRnfUbwjQl6xIvbUxPfyOrc7tw7ODtDmu2tUvObwjhwT4NodxPQClKJ2013m2l1NBH7jO8ygrSJ1DT8Q6BGoesidJIW6U+Vt3GrmcR6M8FGsLpL87f2sO7/u+ZP0P4ng2h2Mt26HRdntlqcmo38dPBql3OeEW4d2dDOMlYESsfuPF4h2Vbb7ZyrGD7Bx9Wvpm4REMoDZQE/btVkxBdoqmozXB4vEOgahffJQ2VpJlVt3nHhvA5+jeEv3/OXyM6dYjf/Pn14+GvG32bhlDU0gj3pvAX45T0A+CutGTSWgFs0hDqhjnHx2mVJ9XyhnC83aQhnJSa7G9gQyjxiyUbwlNi090+Sq1CxIbQv7p1vEOgmjeEUj3pIN2UOlSnG61kLsQVG8I/v36A1g+2iT7XbQhl41XB6W50qd05s24FWzWEhVZ6S3qNhjD3M4Si8lwrNWkIpc3+Rm+22BBaGrAnrFISe+pV+Yj9olwVcOHrIDbBhtABLnytoNKSVpOulcyFuGJDyFcIRS7eEE5WQUq+CTxYq+Q3hA17wlYNoRTtb3QjMR4v399UNYTwEvBIh0BNMWFDaAEbwvKBgz6ttoPlY+f/c0w5bTv5b3oqtbLqNnbd4nMJ+jeE/AwhpltDqJXgA6ztaT7WbrVJQzj59GwIvZ4wbHLpPlBKx+4SDaFUhGinIZQGe2VhQ/gI0wQsV7JGrTxQE2wIHdgQPkqfsfum29h1i88luEBDqL9l9OdvdejDvmVUVputaZPapCGU+zW7c0NY3lfA/3I0lgdnJT2PImfWlOfjjcJmHrp12C4L+veFzOsuD3bYwWuBVmN3u91KqUmGNykCSxo2hM7xZGoX3yUNrboptZKRfg3qJbhCQyjCv0MI0dv08Xb+TuINGsJaK9gTSvoy6f9bg8CN4NfX3X9Zek32gtPAjQc7LNtVk+5CDaGoWdZq7G63qbTjI9W5BGkVKP9gPv0bwmqFmW5KPX26WTXnKg1hCB/VEOrHJyjBB8D/osUsGUevxKdnQ6gPNhm4Jt0XbAjLrUYNUVMv89LLIx0W78mhw8CJW+SrKFlZHNgQ7gtsHsxnmne1MpqGStLPqpVP2zrQGTaEF8bZbOmGMGd/s9kQZir5MvpIq76CDSFE53l5OvkNYYnSqCH3IWrYEJYHSjeE0mA/AeddlcyoMd4oV9I+5UqacqXODaH0HjvpFKgb3ZRa+TQpTdeCDeG1cf79eOou2BBCGXiktq+A2/dkn+U+vkn3JW32puPATQc7bHH0vy9kXnd5sFuI9N1CrKpeiF5Z+vhImyhNlCuVC/h0HruedAtUQ59uSs1hQ3htLtcQyn3dZ0OoBaxRy1RiQ/iE0mQi1VEaqWoIZSOXpM3KradbE6vxdiulDmVcUBHoECVNuVW5gEOfGUeeo9vYta0DbWFDeG02G0JJ3JsuLzHuIcpnrNXnNOkr+jSEgrKrQzPfZwfvNITly1Lhv8JctCGUTlbjbSpBCv/JY59yq3IBh/ICTl6k29i1rQNtYUN4bZzNlm4I4eMTlPQD2BDuKNVucfx9fKso9WkItUN5oG4aoqZe5qWXR8pDJCqFWllZd0to2xBKmxkHKbcqF/DpPHZkSbeBK98SXA42hJfH2S7Al5uSfeADpu1ptJIvo4+Utzq6w2FD6Mt0UBK0AnWwmkzKG0J9sEmUdENYqvMPne3ldGvA9L+jlStpypXKBXy4g7803QaO6fQobAgvT7eGUCvBB5TsTaGJPlLeVBS+njNq+Ef6DFyfl3SshrDO6B86qZIvvTzSIVBTzayVucGG8CEfaZNO3WgeE+7gr063sWMdeAg2hO+A1RNepSEUSf3L5lpG3+3QV0jpW1iXL+yUl1q9cS8v/WMzPx0pZxRLVmJD+CL9G8JamW8KM/wqNA8Lx+7qdBu7PtXpErAhfAd2GsJ/d+NbrwOvECYODRvCpQY8Ul5qdZ6Xl/5LNIR8hdBhDE4Hn286N4TSTKnb2HWjc2Q4dlen29g1WVauAhvCd8BpCGW5Nw0IwjOvEGp1GkQ7AAATu0lEQVSyRkdHr7yCTFvSPi8SsiFc0rYhlM15F3Zp/0iTQOnhK9X5S8PuSxpHqUku9aR5ZDh2l6bb2DGdHoIN4TtgNYSy+Q6oop5Qlq1OygDtvHyRzNjh1HY7m6lVgt4llyuJ6iikQTrdqOoG5ToNobR812jbdJpulNOnDrSleWQ4duQgzKWHYEP4JjgvEv69/fWV2Xo99CKh+aC6FwlzruvQ5OWv5YuEuTozekvaQanti4R8hXCHhg2hdDK50TZKfXKpIc0j01yPXAum00OwIXwT3rMhlJoXCTsUETaEOzRsCGXYlY53O7D1snzkpZ2DfTbx5S/LQ/qY3Oic4dLJqhudI9PZjVwOptNDsCF8ExYN4X/PNPPlOH8qsiH0GbekJTv40cS6Wx6oJm3zBBtC5+rOkSaB6tlU9DG50fM1cOk3dt3oHJnObuSKMKP2YUP4Jvi79q29aV1DmGllyTh3q6jdvk8a8G55oNgQPkrhvy9csSHsQzcfaZnhPceuG53j09mNXBFm1D5sCN+HxYuE6DF31L1rNE3JlxlvdygibAh3mHK7idLupEunMJ2u0hBKmwow0Vmpj1ufOtCW5sFprkeuBdNpHzaE78OiIfz60o/5R9UXjX59NWwI9d0S+jeEHWjYEIrqKJpYCRvCPdgQbtJWqaFYKzrHp7MbuRxMp33YEL4VcA9a1RB6lxvEkpUcGeduCfA13loTeLeWKUpN3NruSmvFOifSSKtcutHNRxorNRRrRef4dHYjl4PptA8bwrfCawhFzJfjwuKw2xBqgfShabhVvQ1c+fa0YXBu9GmbR9ruSls1hIUmPj2Hr5uPNFZqKNaKzvHp7EbIG8OG8K2AG/e7BTK39XrgFcKvr7v/0um5CLEh3GGMUrXLX8qHzKI2VldpCKVZOn3TzUcaKzUUa0Xn+HR2I+SNYUP4Vlgb97vNTWLrtazsrXZdfUxugJa+1ETf7sCY57UmI61ye6S2WW3+jws3Gg5fN59vGlo1HLtudI5PZzdC3hg2hO/G4l2jpT7wp30W7yYaI01eIZTe+3g2hA/R6tVmeKQDDYevm883Da0ajl03OsensxshbwwbwneDDeHTNNEYucWnPEpXaQj7iHV4XRfChnCHVrl0g0o7tJ16rWB8CCEjbAjfEN0TNm8I02SWtJL5hg3hkrYNYSufG2wId2g7dtUKM22VGoq1gvEhhIywIXxDWjWE4i483XZdrWS+6bO5afsxwp4NofTz+aY8ozr/48JIw+Hr5iNUuiyMEiFkhA3hGwIbQqlbANgQvkL59n0y0bc7wI8RPkSrfyHqGSKpjhKkm4+0VJKuVq1giAghI2wI35DLfYwwzWRJK5lvOrzGO5ro2x1gQ/gQrd5+DI90oOHwdfP5pqFVQ6VuMESEkBE2hO9Jq3eNsiF8hSafIbzJwNvlsCF8CDaEO/QcPirt0FCpIYwSIeQGG8L3pFVDKO7C02rX1cdkhA3hkp4NoTRL7xvlSpd41yjHbhMqXRRGiRBygw3he3KthjDTZEk3H2FDuAEbwocoV2JD+DRU2qGhUkMYJULIDTaE78m1vlcm02RJNx+pHruJzq2XtLTqpiQNonSVhrBaAdDQikoXhVEihNxgQ/i2TBt3NoSbdPOR6rGbaN4QdoMN4aZAuRKkoRWVNulp1QqGiBBygw3h26I37nzX6A6tZL7p85ZRYUP4IH0GbqLcii8SPkdDJWlp1VCpGwwRIeQGG8K35UIfI2xFQ8+eDaE0i1UrmZGeYuVWbAifo6ESuSjMJULIDTaEbwsbwqfpptqnGxQ2hI/TVqwWNoSElMMMJ4R8w4bwndEfI2RDuEND1VZKPd812kpmpFU/3wc2hISUwwwnhHzDhvCdgd8rU0i5wCYNPVsp9WwIpZ/PNz2tOtD21WZCPgTOO0LIN2wI3xk2hM/R0LPVq0xsCB+ip1UH2BASUgvnHSHkGzaE7wz8GGGdzmXWnoaerRpCaRki6WoljcVqucS7Rgl5YzjpCCHfsCF8c/gi4RM0lGRDuENPK2LBhpCQWjjpCCHfsCF8c9gQPkdDz1ZKrWRu9LQiFmwICSGEkA6wIXxz2BA+R0PPVkqtZEbaihENB4sQQgjpABvC92dsBct3YOUC16VV6FrJjLQVIxCOFyGEEFIOG8L3hw3he9AqdK1kRtqKEQjHixBCCCmHDeH7M75rtHz7VS5ATtFzKHtaEQuOFyGEEFIOG8L3p9tfjWuiQV6k5zj2tCIWHC9CCCGknCs1hL9/fhn8/P3UCdkQltBEg7xIz3HsaUUcOGSEEEJILZdoCO1O8LW28EMaQmnzAcJvmmiQF+k5jj2tiAOHjBBCCKnlAg3hf+2g0+9tPATBhrCEJhrkRTiO5AhMJEIIIaSW/g3hn18/vr5+/PqzeNh3T/hYR/hpDaG02Xs10SAvwnEkr8MsIoQQQmrp3xD+/rnX6O0+boANYRVNNMiLcBzJ6zCLCCGEkFou0hCuOz2+QujBhpBEwHEkr8MsIoQQQmrp3xD+9wFB712j/AzhAjaEJAKOIzkCE4kQQggp5AIN4fa3jK4/aDjxOQ2hNPteGelkQgiphdWAEEIIKeQSDeE3dlv4cCf4FzaEhfQxIYTUwmpACCGEFHKhhvA8bAgL6WNCCKmF1YAQQggp5G0bwq03mX5eQ9iHbj6EkCpYDQghhJBC+jeE3+8UffZdoS5sCAvp5kMIKYQFgRBCCKniKg3hM18iuuSjGkLpt+Xq5kMIqYLVgBBCCKniIg3hj1+/f/043hayIaylmw8hpApWA0IIIaSKyzSEf263z/WFbAhr6eZDCKmC1YAQQgip4loNoYiI/Lm9Vvhqa8iGsJZuPoSQKlgNCCGEkCou2BCOx2ce6w3ZENbSzYcQUgWrASGEEFLFdRvC6RFsCLdotetqJUMIKYTVgBBCCKniHRrCp2FDWE43H0JIFawGhBBCSAlsCD+Lbluubj6EkCpYDQghhJAS+jeEgbAhLKebDyGkClYDQgghpAQ2hJ9Fty1XNx9CSBWsBoQQQkgJbAg/i25brm4+hBBCCCGEfBRsCEkx7AkJIYQQQgipgg0hKYYNISGEEEIIIVWwISTFsCEkhBBCCCGkCjaEpBg2hIQQQgghhFTBhpAUw4aQEEIIIYSQKtgQkmLYEBJCCCGEEFIFG0JSDBtCQgghhBBCqmBDSOphT0gIIYQQQkgJbAgJIYQQQggh5ENhQ0gIIYQQQgghHwobQkIIIYQQQgj5UNgQEkIIIYQQQsiHwoaQEEIIIYQQQj4UNoSEEEIIIYQQ8qGwISSEEEIIIYSQD4UNISGEEEIIIYR8KGwICSGEEEIIIeRDYUNICCGEEEIIIR8KG0JCCCGEEEII+VDYEBJCCCGEEELIh8KGkBBCCCGEEEI+FDaEhBBCCCGEEPKhsCEkhBBCCCGEkA+FDSEhhBBCCCGEfChsCAkhhBBCCCHkQ2FDSAghhBBCCCEfyqc3hIQQQgghhBDyyWy1TtG9GSGEEEIIIYSQnrAhJIQQQgghhJAPhQ0hIYQQQgghhHwobAgJIYQQQggh5ENhQ0gIIYQQQgghHwobQkIIIYQQQgj5UNgQEkIIIYQQQsiHwoaQEEIIIYQQQj4UNoSEEEIIIYQQ8qGwISSEEEIIIYSQD4UNISGEEEIIIYR8KGwICSGEEEIIIeRDYUNICCGEEEIIIR8KG0JCCCGEEEII+VDYEBJCCCGEEELIh8KGkBBCCCGEEEI+FDaEhBBCCCGEEPKhsCF8M37//Pr6+vrx60+xx59fP74Q9WbfTH51Wlagvn7+LjKylUrFXKu6YCGxQpvfP41s/rasjNM3pmA5tREyr/5fetWI/f7ZImtEZJxoltB/j0jOr+9FF1jVTzpVnDouK/X59XcEexh5K11tqGazSpt5yBrEqv3iu4YN4XtxmyXVyde3qDXrVd0+p6ESG8IBb1Eq3MB3XpPYED509b8ZVhawng2hYXSbjjUNob5saUo5BbMknRqudL5VbSlotrCYa13VyLEhjIAN4VvxvXz/bLCI+/ub6pdQZgV4MAcjUEX/1u0pFdPOyvrHl9t6XjF27dckNoT7V6/uBqVjQ/jjhzVM/7aIRQ2hUQpKwmdUp8J/MbaCUbkn6BclWb9ZoGxdmS/doD7dqVSLtF9817AhfCf+S8gGq7g5BWpnrv2O2qr32tq14m/577Ny19LMyt/G/N275qd5+zWpxcoNadYQFu7+BhosJTf+huiX11h8/2toRUP43ajeX7kspdzVrGhhWa10+WFyo1TXpzrhqFpXLKWydW6mxbLSfvFdw4bwfRgmZ/306NkQfhd5PDH//PrRrfsqqiM9y1crq/VC+PsnXyFE1Jcmi04NYe0HBwcaNoS/8UD9Na3Ir7/X/K2KQmkBd4JQso93glGSZcsg9Ps34nYNYRtaLCvtF981bAjfhrukK58f7ltGq8Q6zkvXqUa4Y5iaWZXPL4v2a1LbyDVqCOvfWH+jY0Nov7325++S/LpdcxYrSql1DCrEur1C2DNK3mXr3zLapRQoWiwr7RffNWwI34Up56onSMPPatcHBdG2ITTo9+n/AqO+BX7xUft65Y5z8JsmDWGjD+ZI04YQDNXNs7QhnC/f9x/0CsLU7DOEf379WEagplhd5EtlmlSob1osK2wISRdUynnvjkzzaVXRmlSNCTaEr1q1+aQeMKx5ccCmfk3qOAe/6dAQfn8Qrc1gdW0I1Vj90yxuCO/f1Nf1pa8Ss2bLyk6U2jWELb4qsHrkEC2WFTaEpAmg/avtCP1/DiyauS2qxkTbhrBb+epkhV3aNISd16SOc/CbDg3hfznT5k2jTRvC6fWdwbK6IXT71hx2XvvaecxhOv2LnuxFoLIh1N8v1WQaisg0mA3KeYtlpf3iu4YN4VvgvC5QNEm6fWCg+tImrlOTBakFrazafv6k/ZrUYuWGtGgI73uc+kh1bQjv9vOjZH1D6HymMIeNbx6p+HKSLhXoP9rWcPMjsp2i95faL4WYPKo12i++a9gQvgPu+8Qq/7h5n68UGy7tdl+tXo5rtCDV08pqvaFiQ4hpsXJDkQ4NofpYXHWs2jaEQ0f4++fcSBc3hLfy8JvfMjpftEkuyfa3jOYLO9+iWxQ/Z1I1GdUWy4oZixZ2W7AhfAPMwlX1JcXi1YnSCmJHpN93TJe9UaRJjZ9oZrVan9kQYtqsjapqdmsI/70vq3DU+jaEt47wrh/s0RDefyS0IHzX+juEVego/Tfj/qZVTaXq93EbZyPZpJ730DB24sXf5/EIbAivz/KfbypSsdlXiimB+4AVfqmyEahhZeqiVEw7q9vr8vMYDS/YsyGc6bFyi3qPZuFXug/Xtz6WWvs9XPVZIyI6RN8d4Y/7j4I1aQjHKlD3oo6+unE4gy4VaASG49/INXt3VV2Nun1kEGZTg3LeZFkBASkv4Q/BhvDqLF4FrH3bg0HtxLXUKqu/QU0RWXztdalVr7La773abAj3AaNXFx9rfIr3E3aGN+go0L+atWkIrU10slaf0tSlAk3438tcoesEqvDrZcw4tSjmbZYVI0zt0t6ADeHF2XwjfJ+vTu4waUXN2zqrXu2pq1Rb3JruJ6TXX2hiQ/gQ49B1+Gcq+0PXlf/A0KQK6BCB1a9PQ9jj2yHnAez3Tx4dUGn+8/e/Y9kTb/09c23+qbjNaLZaVqZsahOkDdgQEkIIIYQQMvD7Z5s2g5Bw2BASQgghhBBCyIfChpAQQgghhBBCPhQ2hIQQQgghhBDyobAhJIQQQgghhJAPhQ0hIYQQQgghhHwobAgJIYQQQggh5ENhQ0gIIYQQQgghHwobQkIIIYQQQgj5UNgQEkIIIYQQQsiHwoaQEEIIIYQQQj4UNoSEEEIIIYQQ8qGwISSEEEIIIYSQD4UNISGEEEIIIYR8KGwICSGEEEIIIeRDYUNICCGE3PHn14+ve37+rnYihBBCYmBDSAghhPzH759fJuwKCSGEvCFsCAkhhBARGbrBqfW7vWL449efIjVCCCEkCDaEhBBCiNzaQeN1wO+mkB0hIYSQd4MNISGEELLR8P3+Of74z68fX18/fw/vMb11kndvO73rL78vMh76/XO46u+ff386nIHvUyWEEBILG0JCCCHkvjPb4Lsh/Hnr3P7+KvwM4q2p22oIf86n4MuShBBCAmFDSAghhOhWbesXpm7tbzv479h/j/p74p2GEL3YyJcJCSGEhMGGkBBCCMEvEOq/P3HrzdBbTL/bt6l7Gw9uNYT3v/9wp0oIIYQ8BBtCQgghBPddy4Zw8QlBEbnr+XY/Q2j8OiGEEHIeNoSEEELIRt91382lNYR8iZAQQkgobAgJIYSQjW8ZLWoI+QohIYSQUNgQEkIIIbL+ApdlQ/jEZwjv21D0+/CchBBCyDHYEBJCCCEiMnzL5/yCHPi7gPDlwNW3jP59wH8/n7+p9L/L3H5//nVCCCHkOGwICSGEkP+Af0fwP8Y+0Xt/qPVFNPrnP3/9+jE1hD9+zF9kw3aQEEJIIGwICSGEkHtUW6c/w+d818vdb6tH/Pvm0h+//nzfu28If/0ZvtyUzSAhhJBg2BASQgghLeD3xxBCCMmHDSEhhBDSAjaEhBBC8mFDSAghhLSADSEhhJB82BASQgghLWBDSAghJB82hIQQQgghhBDyobAhJIQQQgghhJAPhQ0hIYQQQgghhHwobAgJIYQQQggh5ENhQ0gIIYQQQgghHwobQkIIIYQQQgj5UP4PtceUtWUgiWgAAAAASUVORK5CYII=)
A Bayesian approach easily allows a hierarchical model in which both the within-group and between-group variance are estimated. The hierarchical structure imposes shrinkage on the estimated group means. All of this explained in Chapter 19 of DBDA2E.
The data above come from Exercise 19.1, which is designed to illustrate "implosive shrinkage." Because there are only a few data points in each group, and there are lots of groups with little variance from baseline, a reasonable description of the data merely collapses the group means close to baseline while expanding the estimate of within-group variance.
The purpose of the present post is to show the trade-off in the posterior distribution of the estimated within-group variance and between-group variance, while also providing another view of implosive shrinkage.
After running the data through the generic hierarchical model in Exercise 19.1, we can look at the posterior distribution of the within-group and between-group standard deviations. The code below produces the following plot:
![](data:image/png;base64,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)
Notice in the plot that as the between-group standard deviation gets larger, the within-group standard deviation gets smaller. Notice also the implosive shrinkage: The estimate of between-group standard deviation is "piled up" against zero.
A Bayesian approach easily allows a hierarchical model in which both the within-group and between-group variance are estimated. The hierarchical structure imposes shrinkage on the estimated group means. All of this explained in Chapter 19 of DBDA2E.
The data above come from Exercise 19.1, which is designed to illustrate "implosive shrinkage." Because there are only a few data points in each group, and there are lots of groups with little variance from baseline, a reasonable description of the data merely collapses the group means close to baseline while expanding the estimate of within-group variance.
The purpose of the present post is to show the trade-off in the posterior distribution of the estimated within-group variance and between-group variance, while also providing another view of implosive shrinkage.
After running the data through the generic hierarchical model in Exercise 19.1, we can look at the posterior distribution of the within-group and between-group standard deviations. The code below produces the following plot:
mcmcMat = as.matrix( mcmcCoda )
openGraph()
plot( mcmcMat[,"aSigma"] , mcmcMat[,"ySigma"] ,
xlab="Between-Group Sigma" , ylab="Within-Group Sigma" ,
col="skyblue" , cex.lab=1.5 ,
main="Trade-Off of Variances (and implosive shrinkage)" )
abline( lm( mcmcMat[,"ySigma"] ~ mcmcMat[,"aSigma"] ) )
Notice in the plot that as the between-group standard deviation gets larger, the within-group standard deviation gets smaller. Notice also the implosive shrinkage: The estimate of between-group standard deviation is "piled up" against zero.
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