{"id":4519,"date":"2013-07-24T13:52:39","date_gmt":"2013-07-24T18:52:39","guid":{"rendered":"http:\/\/qats.com\/cms\/?p=4519"},"modified":"2013-12-12T15:18:30","modified_gmt":"2013-12-12T19:18:30","slug":"how-to-use-fan-curves-and-laws-in-thermal-design","status":"publish","type":"post","link":"https:\/\/www.qats.com\/cms\/2013\/07\/24\/how-to-use-fan-curves-and-laws-in-thermal-design\/","title":{"rendered":"How to Use Fan Curves and Laws in Thermal Design"},"content":{"rendered":"<p>In today&#8217;s electronics industry, there is a constant and well documented push to higher powered components, tighter grouping of devices, and overall increased system thermal dissipation. The higher dissipation must be managed effectively to ensure long term reliability of the system.<\/p>\n<p>With forced convection being the dominant mode of electronics cooling, more efficient heat sinks are often used for cooling these increased thermal loads. But, they are only half the solution. Due to volumetric constraints, it may not be possible to design an adequate heat sink for a given component. A large amount of air preheating may occur if multiple components lie in the flow path. The increased ambient temperature resulting from this preheated air often brings the need for a larger heat sink, but the space may not be available.<\/p>\n<p>The solution to higher power levels and decreasing heat sink space is to increase the system&#8217;s air flow rate. A boost in flow rate has a twofold benefit: first, it lowers the thermal resistance of the heat sink, which reduces the temperature difference from junction to ambient. Secondly, it reduces the overall temperature rise in the chassis. The reduced temperature rise allows downstream components to suffer less preheating and operate at lower ambient temperatures.<\/p>\n<p>This direct relationship between air velocity and component temperature indicates the importance of understanding how fans behave in electronics cooling.<\/p>\n<p><strong>System Curve<\/strong><\/p>\n<p>Prior to selecting any fan it is important to characterize the overall system with respect to air flow and pressure drop. For example, a tightly packed 1U chassis will require a much different fan configuration than a larger desktop one, even if both systems use the same CPU. In the 1U chassis, components are spaced very tightly and exhibit a large resistance to flow. This requires a fan with a high pressure head. A benefit of the 1U chassis design is less bypass flow, reducing the need for larger volumetric flow rate. In an ATX style desktop chassis the requirements are very much the opposite. There is typically much more open space in the ATX chassis, which lowers the chassis pressure drop. The widely spaced components create a less efficient flow path, and thus a larger volumetric flow is needed to ensure adequate cooling of all components.<\/p>\n<div style=\"width: 294px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" title=\"fig1\" alt=\"\" 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\" width=\"284\" height=\"282\" \/><p class=\"wp-caption-text\">Figure 1. Typical Overlay of a System Curve and Fan Curve<\/p><\/div>\n<p><strong>Fan Curve<\/strong><\/p>\n<p><strong><\/strong>A fan curve example is shown in Figure 1. Point A is the no flow point of the fan curve, where the fan is producing the highest pressure possible. Next on the curve is the stall region of the fan, Point B, which is an unstable operating region and should be avoided. From point C to point D is the low pressure region of the fan curve. This is a stable area of fan operation and should be the design goal. It is best to select a fan that operates to the higher flow point of this region to improve fan efficiency and compensate for filter clogging.<\/p>\n<p>The system pressure curve can then be compared to a specific fan curve to determine if the fan is adequate. To compare fan curves from different manufacturers, it is important to follow a testing standard. For electronics applications, the relevant standard is the AMCA 210-99\/ ASHRAE 51-1999 test guidelines.<\/p>\n<div style=\"width: 303px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" title=\"fig2a\" alt=\"\" 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dx+ggqJDfcOjG8tAsJ9AHb4Yd9COwj26j2H1j29PuFEB3EE\/bE6AAQCeBVCnAp6fxLTD9fhG8QCKonPKCltjJx32jpIGrjNk8UyCnS1THdlFb2jGjYrWXeYhclsbq0RyAjUVsMSBbQekGvRrOMIkfplY9YtkcFNUxZfqk9DDr1VFywddbbcK6MXpbq48TvstDaYSc9aurCLyXuP8RvgLGA7h07fGimVGrG7fqJSZ1vM1pPatmsl5lZn0xJkmhgPJlN54MStjakk5qp2a5zBH6JqWWGuhZDTDH9mu15k6zrWGM3U0kGtZJcj+gbyUmNstHaJvZp6u7uiN29f73KzNvxLvLrIuFSWdI\/uKl2l+xXW3h+H5Ad9Bto223br9uh8ddtDtodtBoNuhfLyU39z4v8A\/9oACAEBAAEFAP6dn9NuQbRrMvs4JIaVLbs9JVoMr4SsM\/OWwyFlnMthzJ5BZfesKQs1ZrY7Ijhs8jkLvROCZxaWQce4159OOR8lItzlvTusli5F4UdFgt+eEV3dpQNmc7ztFv8AIxD73LkdnLeTWX5Vw4cN1+ZCN\/jSoLS3IR432fEiEawtNrASruMZlX+D5wx0u05Rbk9j0bIlqRZx4VMcSVjTAI47sBxYN3aUJDc3H5V3YGBx41LKcFuwDqW4vQcdV9t1TCHHf\/DT3cfH7e6+i\/rOW2UDGw5hC7cqUDWvGu+coLItbxk3kWi2KZNvPNPDNmtkgZT4\/RLeYsmeLZts+jjsSQOa6DmPURbzBx1LT7lzl\/akK3LG3L1iZCwH\/vfhYGmFlbjNKbk+QmR3OuP4ju3OM3f1l083BmRFMQcpF4lHI7EbNW9ZEwNR5nRNUOOb4WaE\/MG58S2Gl5bdi46sbrG6pk44cWZ8f9t4vcQG63n08G1FEd47x9fGFGOj7+LJb2PN9lmEM38UZVZEOZA4lPduQbyV3uEMcXxzUPBpXGOMmrfyCSTi3ks\/bi+AHfo77+RqNNs8zaTgjlzcxtjsdEfnutdOnRcwxrw\/YmnNZ7Y1\/wC5ER6i6XGZMVl9M9yWELwY9MvIEhdjvzkHxNoHZa5FgZ2T9x3osZwYlXlNJ95W+mdSU0hyoAAGjLJkMZVIxWJhzi7G1xbuDuIrXM18C8Q2VfbtgniPe2M4+PTC122liY9wtGN4zBxrNkIwcWsqKKaqcBAQkOrtFvYLOzHwbftAx8ssMGA68q3Zjs0bRfJ5gpk11r5G3dFKkZSu25RhbEmjrP4D9M\/r2mmghjvtlJMyU8nn1aYuhacGew8r2k0WtHbLxTp6W\/sP0DvtjkqrIV31yD4czpkHkrFnHBkgx3VRcfeVtsxjwzwumOGcx3FBsp3q8w+7X22Hj0EAMGWOPtZXV2PuQVPJ9PeLTbnBaLRxi4SWCgv3H\/iG4yuLEXHR1tKp4\/sSLjVPXAfFKRLrklR2hoY2UFLS0FF6MveQJsYmyri\/yCNbL6f23jXjgzm3JDKwRhRgld0ORjYMwspLk+InoUKalo1FSJhMPL9TxW5cPshLllBBusmXA4qSOLDY7M1G\/knmfD2KF3NytcXRS\/8AazxdDovK1xfHVV5Z+LZDX\/bhxYam3kg4tpIssc8yXG48GS4+VuHa6yU\/Jpx+Kpp8jeCNYnLORWGLRd0NcsOJzwt1PyQ4V1VRRcjGHN0D\/sCxWEbxyBMO4yAXy2lK0g8JuKUCh6OUiIcXaFGH7ZYpGjI3IBcbS6q52xljlLOVN8qn3GgDVy6ljLm5GFNQuXKSXcghzzLg\/jM\/ISbDSsLFEQALevVyTlHMEupxwlN0VVrAyPSt1AiOQJC00FzMpUBhagXxLtoxCmCSSVUAyXkqxHRJb1t2MWN6dL\/rJjWYtfipjBcqKEWJbWA7MU37cXlLWNatQel1mSodOXhHYGGWjeOUHpm3H+KciW5F8FxbCdK2YziXIZgxVCWXEcPjJWW8dMGcWZtpGtknjlK8CSw4ols1JZKW1y1idjvO13tFutLetMv5PQzEyOH8\/tiL8XoiiCraNxzWEC5HayHADQVM\/wD\/ABcn9Ol4tduvlpsTPtzIyKeFnfLJsAHHeU5HsMSx\/SY01bnxgY0B5SSJQ4grX2pa2szNv5iH8OK1Yo5IdMIFB7vpqxyzoqmRkTLR9RHYG5B1HPnGwyJGgeJp05NMF5Pv16wQw0cEI4rP\/FCPZBi3CGxZFv8Am8YFlfU+y7l7j9l8yI8s8ZtmGk0izBrNQEAn3WQ2\/wDBM2l2wnRERL0H6ZKxeEsSnj+zIEkVlgQpQnVOy1boECglFCZCTVjKYBLrkAdtkYT5zuz1hCwYk2PL3DuzDNGX9TYUWDj7K+Ueo5jljRKy9GEQDJPNmHMWHsyeYHEZ5vGN5eyuTriYdWXFGZJ4mzLGJ4Hfz2mx9trGrKWLn1X4LZK49tbL+HZ5iSfmrnAoRLP+uyjiKuQiPI\/Hynk2E8kYTyMbubgpknVPMuElEp4yoxwuMG3vIOG5rwsE4Io1WZUMU1UTL3F45Ykyggqda6ULOpecg23i5L7Dybi17uJ2N2WsnoInSGYz5EcVXxG2KU2R1NclYziRJEmZ0ZKp8puV0CvVgw1krEM8HzgQKFwrYBieulKZGvyZuW\/YGNmXWPC2hDcOVOH8RSUWD2MmEE82R4Y40sYqR7IUdz6x8hOPGL5Fg2xYowvbLtbMLYDtVBgljtj268voox8huEKLOr7M8bjjtGFrLFMDwjcJPibHSFYMt+bZQNNxsRIU8p8gGC7TBTyhGI4twrIkCyNbiJCVddP9aMefCNsf4ThxaULnXWbIDxyFrCxcyr20W\/a8L8d7NSsrFPGezztjrG0fxlI+MYFUJ\/qPj8aq5VIVhVjMCN5d49ogtmV86wjJrhv2YUUtmSY4wy5FGvHnHvjLdcZLF0yfxcjnLRhwHjfHGN9IYAMEpY7WZ6u2mumaNiJ+7c1N\/wB25nATEu7yjjfk80+QFtvB7ZDR7O2SmYTUkJvSu2IZSOWUPrrNYommTbcMiQA0CzV4\/wCkiBxMTob6Srcf0XIRly03HvegKBdH7kjCvTekzRaABNGMJQAdZz2WzX+VEUfZTcbOazu1ImOtldDloHTkTgW1oUmVrzoxPRXV1FbKJaXYppm6jL8T1KVLLcU17fbTnbTzsc6SdWxy1sfYFZuPzHENwf2NcJSPVrYUxM325EMwHdlwzYKBpe32DOabZfcVlf7lycluHiG2DobsGVLuRYMispm21sEb1I4cq6xfFBrAZnMprR41YwASTTi0oUxNZqAH829BDcLhbqO6ULEjGPIvovRlrHd2l7FefsBJPuDYvPHDJL\/fEV8SuaEXY7QxDj7bWNjFgv8Aaz89ExxDRSTQzZK9fIEr5PZB\/tAL9j7X3GAZfTrKzCNHcS7630bYQzLIp+5WDiHGVyZxSeAeQ6VOcqcZkXJM2LoVCaO+syQA05\/ByojW\/TNjFScUORdslbAbiuyTxmyZ67m336B05JrfHT+fuN3FLi5HdvUwZwoVKtgphTUJBgzhUGsraLC\/GCXsMmrgjmTD2UWJWKbaimD8FIsfUfQhinjMnNA4Z4giJ8LMOzmPhJhqfRsIMNBHJPDXEOyY6wviBiRcZJxjm7APJCTyhsHwvEu\/TLKRHhEmL8i5kcrtib1bl3mDETnRzv5EGrH0a36XGZja65qySvtixpxTZuO1B1Edgle4xa3JDxejmEobx7cc1jKt7xUEEorhI4DkL6MsDeOLkFqeco0kbYrru\/bb42Yt1c9ixHUq8wHEwW1mTndQ6amUudh2yhQ5GxRlZBWQGYrnuPEFfp2uMDejlUnq544tW4qHV41XIuKrTxgMRaMcPZ\/ub75CvRmGsanxL4zpqvOQ7eozlSye+Q27bBrboAAHoHsHMNBTumLHBLlXsYYAYwQXkbI3HviJyjrwDHeF9lzNdMqtVy2B5trrnwnLEttzDPM9wce9\/wCO+8TFlrmD8pkfmXGWLrrsfJ9GrubMgcr8SRgxZG5aYFievruWmILEVo54ws\/oHuuenHXYn2typRJaNS7m7gY86qAuQOMZuldtkLjpMRDgoXT3eLaj1nQK0XOFpcGdmJM7M+LeTqEnajjBky2sq47+TyiwkYWVzxavEtic32a8uGPGF7t\/LDi7xGY0Ou924Mu1WIJ0wiiyCW\/GXH7m7MzblPA28Neoh7Ehg3XGBnYmMbOSW4tbExsOC5KcDqtIjsEgrqzfMZif8THlHjxcbXg114U1l34\/cqca4VgeC+YbG3IZQhwUL8pNkLsXIGO2xxVYzs9w27ihxvsN5g3jHx0x+kpLhwxFoNW\/isiC23yCOPqPMfXsPfU7MtwWS7vOemzaYZgyNP4tj86hTFunGnjBXtGzcYcJWputXi7gJpVEUcZkCwve0jB4\/CEQKHmAB7oe57gbgYB0I7AKpA0VQDdBHYANv08g33Dcw+IFOB+quxiXfEyS7XL2U7VyUrMFDxfytxvJL5xz5EK9iS3jJnUpLcn4TPCnGW8TcqLS5LedVal+Er4+3yF8hlZhE8L7yLRNF0sOnmmA+QP\/AGkYK09fZczManQ98ms+8qWLkhCHJvFTuyUsfLDgY4WWx+V\/B+W3Ri9y8Y0ytjbcOU7Bu22vOjLDJOI5WsfJzBTStzy5Y8QaGpxy5d0r1YGxyWYdO+1ByrYK\/npA5dYWLZ495boLa8Np8oGHNZNZAROHspjoEUy69smhRTNopSlD4Rvw8iHH5kFmjNR+PrNWQH3N2AGR7wyHifjGyRXt\/H3xx5WQ\/lvk1jvyEt7KymwOyGo8kLXxaZ5uNmtnATJO2z1b+LfNl548468eE7MWfc4oOyouOQkp8Z+eb4vSfHRkem4Zs43MnmjDLJxVzcmBpQRx8ZdxEzYq41svWQ2rlxL5mNuO2rxiT015cRTEhfkPs3\/49zflvbH2tfbodtD7eg9nf7dh9rzHbRvDQePRf8ppD8lt8X\/\/2gAIAQICBj8A\/wBnda8w+e7VpvKlkbS3Kh3i3XF9cpGrB0ZW\/wCnt47id1rQqoqDlj\/U7yp5rs+ZfWAhtrZ98kYS5uZ5rW3mHLYB0eU27KHDoVINNpNfKc6Wmzz11HrNhC0zPJSOHqL3gt0MW4R5RRwSt4eZmV3Cpx5j8r23liq2c0sEN3+YmW6aSGQpzZ1LSWrxvtYmGK2hYAoBPVWaRo760dvPfVbW\/vensHcbIOnPCpi5QISRrsR3zREqzfy\/DwxbdK6r0\/8ANWhsryQRbpF3yRWzyRLWJkkNZFUbVYFtOOOldIvPJ1t5cnkSVw8wv4FkRF3Mx\/Oz3Dvs2MsaW0ZlldzGqSuUVeotd3tnHZW3SoOomVzOiva3EphVlR7dZ1dHDB4ZYY5fDtjSR2jR47K6lhn5trFcQyRFjHNFMgkidC6RuAwNCHRWUggjLFt5k8ueXIer9Gk6SkxvIbqVLyGcKHmlkhZmtZLZDvUwxwrPGqnmyoY3dvIH5PzPaPcdZ6WbxzJzYo4lrK25S0W50Kx8uNED3c0yOEtgGiD3VpNd2iRR9F\/qolczRo9pvVCVWWBJklViQYZoonqhABYoHitv6hZHpjdITqf5zdN+WFk9AsxBhFzVpDyhELczF6gRlQWH+nVv0u8s7eS88sR31zO8kzRzS86ZWeNAss7vIoQLb29uXADMYUCSsvmqLqvUrG0t+jx2ck8srXGwxXzFYJI1S3eYio\/mI0SSoTt5ZYMo6UfM81q9ve9GvL6K15kyTtCtvK1tc1REQK0iB1iMwmKeJ4Ngen6rF5U6d0u1q9\/LdXEs8NtdrMzRpDCogubeRIuTGrLuBZnMjEbASrdb6h\/R9nXuoWHSYpZxKoBuelXCTrdCJYFUCYRRpyAQse3cHcHYPMDRdMNpc3fV7C+hdZQxtv6fam2hjUcpQ5rtl3naAV2mNq1x1nq0vlcr5lvt7O\/5lvysc0hLPNBapHHKr7juVJbuaEEsDGw2hfKPUejdGtIOl9HgtIYYXhtZ5+TboFlQXslrz4\/zFZiTHtEfOagY7i995ksejn8lJFexx25lzjS7ikiUc3l+Pkq4z5a8zb+CuVx1M2ZnimsLm0dVflSKlzHsaSCUpJypkoCkhjcULKVIaovOixeX2jik8u23SVZrkyFUtrxrpJmrCN7srCN1BQFgZQQDyx0OQWf5c2XSray+ffu\/LR7Obmihd+uwhtum5sdXj8s9Fnsrq+sntpYxeSS2H82PlyTJaSxtLz9tdjyXkqxl3ohUqq+Vef0RpLjp3QrnpDuk4jL2s\/MMckNYHNvdxcwjnFpkdcuSm5iRaxeX2SJfK56Ku65LkILjnJcMTCNzhaI6DaHasgZAdg6T0+56IX6PH5Zh6NcxrMFedIJWmjuI5DCwglSQhkVo51ADBt24FbHpq+XZY+lR+Wk6O3LuttzsjuTcCeK4Nu4hdiQkqcqRZB\/CNqr5xsT5eER6v0\/pdqSJyyxf01t29VaKrCYUGwupjNWLyknHQupX\/l5rnrlh0aXpiyi45UbwNFJDFI8XIdjPEj7C\/N5ciAjlK5WRf9slm0GC4OQw8We5RU4SJj\/MrU+zDVrTC7jSuMvSF7\/2\/sxJGUJK5n2Ze7jh4gKFBuPs7\/Xtwrg+E\/ZjXGv6kF0riQMKBdO\/LDVOmCcBTrhlOhxQk0wzqTuYUPePUDAlK\/zRx44+UYqdBjPX0+OIFixH3YkIXxNQMe7TDy7aswKk01FNDgqEACrWnCnqcF6U9e\/HLVvw1wUYUYfH6DAjDIY\/EACcJEyUJxHIuYdqD292NxWndgeE\/H6ZOApj4jtw1I+BPw9f3Y2qlKt8NgP34NBitM\/RpjT0ha+nXFFArrhgB4uOAFSgHt9f7T24eo+YUPeMFNnhPtxkvDBVWo\/A9mCpBDKc+\/0Ko1JA+vHLaMFyxofYfuofWuH2qDJTM\/Z9uI3kQeGpr2ZYsqENtVmWgy3Dj2dvd9WGZhkAp9lfX9mAaUBwPpMTpgEJggp4cRQpCRUjPhmKZ59g79Pf6O4\/S3eg8luHdgBo1NdcyPvw5lhqtGpn3HbxrkaHsxatKPEYzv0purlkPdplrWpzxrih+b6BYfMMCpzwDxBr9WOYU8dTnU\/iNTx4k4YCPXvP7cbaZUp24QrGBtFB3A92DuStafDTCrpwH0TTXCiueCKZY09BamnHG0fMRhcZYKlTlitMvT4cIpBqTimKkYKoTl7R8TgggkjGanHh+bhg1+cDPF3IhPLiTcdNPtOvDH+Zl7D+zFN\/wP7MABjurlll9nHFVOmuFaQEK2mBvqCfbjXAAz9CEjMGv0ScKWr\/AGZ4kl6fHvu6eEHt++gz78W8PVuoJ4yAJSFjq38DISNv+92Z0whD136E6GvZStcPHI2VBWnrXCgPUdhGuJHnkEca51NMvbXAu+j3KywCgVEXdzK08buwGxQOC68cKs5Ku66drdlfvwpQeE+gjhinHFs5J381R8fRaBgCu7j7Di5idPBy5my7VFRj2+ncB4Tr+3HXREKkw5\/8uF\/liuPkH1YKlRnh4wMxoT9eOlsAAzRVPtrw7sQ0H4Aff6AKD1PoevD6NMAHACZDEqdUso5YzlmOAOWeo91D7sJb2XUGk6T+GMkHYKjIV7q6dgpxBYbMgOOeeH5KbpaZAGhr7T2YvB5juw6V8MYyBQV8L0PiGdD2ilRwxDFaxrHbqoAVRQAdgGBuWtMAAZYESMN5wEObE0y+3FTri3rqJVPx9FmDpvGLg1zMdwPdQjA9\/wBDqygVYxfXpjxW9O\/MUwezDGuYGDQeI1x0ogUbkNT19v8AZiCN6V5EZ+tQTgnCevZipwxPE4yGeGnuGCRjiTjfE+5K66fR2rXdTCPLcfzpKACtamugH2YIVmKV3D17PuxUsQaYmd83I2gns7stcSI8lSh9a4ruw20eGmCteBP\/ACk4WIfKCadvyg\/afRCvDeD7wR6LL\/xB9uLsIMhzwPZQ4J4j9v0Oq0OYjqPbligY044NMQkjInP6jg10x0c8eS32nENaZW8X+EYphanIftGGKutadvrwwodgDieGymieeLOQyMI0QdpJ21FcsuPspiW58zGP8pWscUTeGnAua1IOv3kZYEUCBYgMgPTU4aWdisYGZ7Kmlf2\/XgdJ6VFGZyKmRg2xF7cmFTn2+0DBnvJ2mu3pVq+FSM8gOA\/vV4ZkiuHK03U1+\/BMkm1QMz3YYSSFYVoN5VggJyqX2lQOFd2RrXFzczdVt1SQ1B5ikfHbXUfXiT8jeJI8Z8VCMvdrnwOJkRVyQEVNOIGZ\/diaHcwKZE8t2UeA\/MQBtz4tQaYO7rFopDEeKZBnsBptrqaHKoNBx4MlncB2X5uBp20OdOw6HhiJiPxfeMdQt153MtZRHIeVKVBIr8wTbTv3e3FnEvmGw5wcUU3Ee6oqaFASw001xcNa3UTuUlY7XB1rWg1p2Ze\/BIpU9poK17c\/sxexDmk20vLkIikYBtciFAoOJ4Y2SeYrENWm3noZK9hQGoPtxS0uVk7x7j9+OrMwqoi\/ZhmjZ9x4Ein2YXM0Kg+84kISRYUdgz7fD4TTNwfBnlUqaHKmA0vU7dBTQuC3uFBXHShZ3AkCwMSR7Tw19+IT2wR\/4cTbxMsUXzuYmKL7Xr92HMPU4mcKaAggEgE0JJHZgfl505wQMV0bP+6TuA7GORGlcVCj5wOPb7cfnZ7ZXuFAAqMh7tCf94Ed2IYyW2jjQA0FcjQAfD261wxmA3bjSldOGvpq7MB3Uw8bpvjbIg6ZeynZXBESAHj2nuJ1x2YdYiBJwrpgI2fDPPHLPOMW7cUM0pjPc0e\/lsO0FCDxxd28\/ToWiBoBsA48CKEaDSmmJIen2iRRsakDt99TifaxB5YzGvzDE7SI5BOa82UKaoT4kDhWzPEH4DBWTpsBBJ1QfwKK11rTjXDixtUjBGdK\/eScRZaH7xiSaRJiZG3OonnWNj2tGkqxknjVc8q46eZOiWpkEgAYxIWFcsm21rnxJxPFZwLGiLKo2gCoFdaD69ManE7SCU80guBLKFYjKpVXCn6sK0vQbRnGjGJN3\/FTdXvrXH\/SWyJ7BjriOaBYK\/Zijbj7KYUx12gAZ92Hb8vUFixBZipLGpqtdpFeBFO3DCbpFuTTXYK\/WOzhSmOliygCK0LVA\/3vrxZsNTBH8BT7sPObertqNzbT7V3bT7KUxDbixiEMnMBooByUUIpxzOf1YjhsbZURVoO2g7TqffgqT+NTqBoa6nIYl6UbefmKgYyKtY1rlmwPblhZGm3E5DaDQmpzFa5UoCa0wWOR7Pv9vpoTigGXorxxpjTGgp7f3YunYZMa\/E4I2tl3YZlJ2Mu0+41+7Ejgan\/6SMbvXQD7sUwnrxGFxYt2Sr9uL065zfEnBz+h11qgVgp9mPmBOMsGuGftx0b\/AME\/4sWP\/gJ9h9FtNuPhLGnA7qD4Y0wAygjBe3uHiujSrKAajsIORywy3vKv+hCTJowRLEhH4hoc+yveQBTHMiR1PYwofXP6W7cKYHiX68AjMYyGB4sHvxljmAVODQUONrfPhc\/WowBwxbKB4d4qcXIT5CZM\/Xux68PodcZhlyfvGC1B+7BP4MUqcUGgGOjmmkLf4ji1T+G3j+Ir9\/oXP1qPTQ4IoKezL3jjjwqo9gA+jlrggat7sKCoBH7x9+KE5ev7MUxX6IJHiHHAWgrl9oxyScyMW5b5Awy+OJrlRqXy\/wB4Uww7Cca41xQHPHmRos2S3Jz0yFcIzqNxCkjhpngUNKeihOWLCP8AgjK\/Wa1xE\/DlIPqFPuxlgZeuX6IgDPB8AoT6+owBy8u2v0KAZYJwKDGY9G1cmbL19RhZGzYAD6saYJpngsUFcLWMZnDERgUNMMYwFfKhp3jFykJ2iZdr9444py\/Cs0oA9lMf5Q+rH+WK+zFQo+rGniw7V8VMSKcyP2DAUmjV9fs\/R0OK0z9JONg0IwMsO6LUU7f3YUsMyMaZ4Y8T9AnCBjm2X34BU5E1w9cgP24B78BXIzmlp8D9fd9Fo0+YjLEniBc0qOyo+P1DEO5KtXL7f05wSK7sMpU+vv8Ad24oDRPjjcEJbuwzbCGGKtr9CuGtIpVjZYXkqwJyRSSMs64lAFaKxp7MTu8YAJWlGBOdNQPl9+uuAyMK1pXhWumOg+Y4Zif6hLceE\/h2MKnv3cPq+ilozUEp219uWLjpcLcxhb27swyzlQNSh\/h0PbiEGWj1yFNTTT9Qyxn6CTjLTGev0Di3ueoLW0kRomzA28wFdxJByWte3Lhh7m8v7VfLlGP5lZUaMqeFAd1SD2ZdmA3QumpB0dBEkhUktLy6B3zOjAEgDtppiXrXkb8ufJcjI8ZMyB43\/Ejozb9wNSKChFKHWnlfyrYXSTSdOifmsp8JeRtzUrn4chnmTXswBWv0IHi\/zA4P1EV+GIPMnljqNoxlt4xLE8qRvHy0CEneVDAEcM6nhw6T0qylgues\/NNJG24KOwHQ9lR2fV+qeI4LVyrTDAtmrBT3E4YDUD7q4K0ORp\/yhvsOKACnfp8MLbmVzBXTcaA+wnhjJia6Y2xTGNAa0BIodajv9RirndI4qCdSKA1Pbr9eCp0OncfSWOgwWPH4Yko1FDBTQkeJqlRlxb+3UYeMSqXUVNCdKjWvtx4dP1QFsbRWmJixJ3uG7cx7cMA2ZB100Pr9mI0cNWUF6HgAoQg\/V38M8BFDZns9fXhgDPBJLaHjrtBP9mGNHBMat3jmVAHtHHhpQnCDex2rQVNRnSp9uRz7z240zwV\/EPQoFNnH0XG6tZHic+2IttPtzoTxAAxdTR1zojfA+\/T44dIwaA8cKADn+\/8AZ+rFTxwCc9ooK5mh1zPb8eONDXAI1xubM\/upg61oPZ4dK9w4DBepxlrhSuRrn3jBAOeBXM4NKVw288Dp93fiSMM9HkBrU9gOeeKpJJWoOv8AeI+qowhMpNOFT3\/eT3U\/SVwCQTXswV40wKnPFfSD9GlRXFPQMjmPRXBJOWFYN6nALHIdmGBNZt9cuzhn9vHswBtO7Yfrpl+\/A\/MxjdSP\/iVAGOmpbKvEYteZH4xC4emZ3mTctDllt1OlcFo1YQlT3Z8MvX45rT9HkKnEE3IMgetaAschWmXFtBwrTE9vdry7ZIon3fi\/mDcAEFWIpWpplTjhbXp1nzIiiFXOVNxIBIOYNVI0I414C9D3DK0KneNpoWXgn8TE5KB82oyxFaR3e6d5ETbQ1DOu4A+7InQHLDdI6VYb5o4xI\/hJOzwEn5hT5xoGIAJoaAGWyum5buw2VFAAa\/MTpWmugJANMqy864aJViaUF1I3ojFHZNS21hRhQEZVGFS2u90rLUAggVI8IrSmfdXsNDQYvW6g4hmgeTM6MsbbSy0qcjSo4VB0NcFzLMJhJyzHy25itQN4l4ChBrWnvx0y26bZLLeXbFRXgdrMMqjXaRrrliyXr8fI6jJ4iuhVN20O4NCvBiMyFIJFCMX1krk3kIcUNApdULhd1eIGRpTvxCb2NEtVt5JJGAodyOoG0bjWoIrwHbrSOdrh1VmK0KHcCBuNQK\/hzyrlnpiGEdSHNcAqNr1z\/wCzr3a\/Gha3NLtZYtyyUT+XK+1XBJoVfawU13GmSnFy124L\/mmVFShYpsDg0JFMqmla7RUioIEMbySMHEZBVKikpCxk1INGJ7O06Z428cZ41xpjU\/pDQ0OLWRKR2MNuSfFUvKpLIqgMKAk+IsCMhkcQXnVbaN5hFDE9WUhlj3qSw0Ph2kjPUjOhxc3\/AE\/p6C0CQqg3hQdnM3Hbw+ca64W1ubSNbWAyvHJuDF3aIxqHXMhQ1GWtaUqaHLFn1DqxBgRSSSVYlgHC6cSW3EjwilMXPWuiW6PJcWwjarKAteWGGZrpHqB+LKpFMRRCNXiF1E5ckV2xsGJp2H5SupAxdpb2MaE213HuMqkMZmBhKgH+XtAG72HtpgJPHEoNxCx2uf8Auwu5h3NtpSlSTmKYka6tlhe3huFiAdDzDPKW8W0sAQtfmoCaV1NOkdRlsEit06ik8iLKCVVECirE0apB4E5CtK0HQepdEhWS9tJ2kIYqPwMq\/Myg0LltdQARQkieSZY7ie+tTDMxYARbzHUrUhiUWMUIrU17BWZraMflBel0JkFTEtsIVDZ1LMRx01IGJbu9ttrQ2kgARgxLOy+GimpNASQCBWgqeEvVLSxZJTeFykhaPJkCnwuyggAtoxNaVGtD1CWODmJ094k8RoWcp4SNcgreLTcQQdaTyPBFGZY7dWBl31eCV5CwUsVAcsKgN4RkN1AC\/UrWGB7l5GBQFQArQtEWqSoGbFhQlhQCmZpb28EsbokdkhJkapFu5diK95oK8Bx4kjSp+J\/U8sZenLBp6DT0ivobm05dM66U765Y\/wCl2cmv4Kba+7L9N\/\/aAAgBAwIGPwD\/AGd0Hy15GvFt\/OnWLmdbeRo0kVIrS1knmJWQNGDJO1nbKzqwBuCQvhLJ5A85+VLowzXszzzosccpaG06fc9Qu7UiQNtalpLCxQrIGBCOGocXtst8P\/jqz6VfM6okbNLN0+zsL67kVyDJuQXpgRVZYiYxUFt7Y8tecn8xGEdQhguXsuTDJaR288Yk5MbbI7znqrIBcPdSR7+YxtSjxxxRydMu0j8ndDPTV6urIh3t1Z5Y0cSsCypZJJYTSCIqf57by4VkXzL1vpV5+X6jbi12S7UbYJL61hkO2RXjP8qRx41YCu4UIBHXOsWXne48xQwJHWKI2E7ozOVURixt4KNIXBdrh+TFHGZWaGJJpMBls7sXg66OkyQgQySR3ZieVdzwzyQNEyJ\/mxTSKpaj7NkvL6i8FvNBcWd7NaXEUoTmQ3Fu22WNjFJLG200IaOR1YEEMcdY8pdd8xTdH6hB1w28EEtrE9ldWZYrAolotzHd3KmOSO4acWj8yPkQSc5I0\/1Fs7jy7dC06FcRwqY+XLJcM6QsNqJJVS\/OWUFgsMNt\/NuZ4ikyxG6a1u1nTzBF0aSELFLJFeTJI6bmgmlheEqmckEsu0sFIDLII+p3U\/T72LqVp1r+kvZssRuTfkb1gUxzPbkPFWZZjcCDlirSqxCn\/Utr3p97Nb2HWre0trVIoufHzbW3LIWDLFyxM0jm6nuPy5UoI7hhLbrJ5Yexsby5uurXl9awxRflnYXHT4lmljaT8yLdhIrryZYp5YHB3tKkVXHnP\/23Bcr1PpdxaW8tyEgeG2unurQTWrhnctKkEzJI6wyQRyOI+cJto\/VrPzRfdTukS16aLWCK3muLV42adp55jPbTxOxmPJQpRVAgjLGQqhTpNsnU9\/l6x8x33UYbZo3Yi2vrS5tnsGmed3ehupZWuWBeTcQ8e5jJjyep6qLv+mRdUSbfDQXZ6nLbu+8GVtixxwCEpV+ajZlKEN0vonT\/ADIF8qWQjWGP8uGu+TFtCW8l28jwvFsBjLLZRz7Am2dXVnk8\/RdZ6ldz3nXp7yWRknu4YFNwu22V7SO6EFwlmqwKqzAiVYEQhIwqI3kvqHWt189vZxyXXK+d7We3naTkmU05xgI2847N9dz7aNP0Q3ZgY3NtOr0LrvtbiO4RJowyc6Bym2WEuoYUbcGRSLvqc3XUaWfzNF1llW3CKHSze1e3jHOYrES++IkuYkAjbmuWmbzZcm6E46p1y76jtKFBH+aZW5JIclwm2nMHLLVqEXFpB5j6zBedLt7xJ4WezjW\/jVJVl\/Li8ikjiWByuyQR2ccrxBQ0plUyt5zaLrAht+r31he7DEz7Lqw\/LACQiZBPaTi2BktWVDubcJvAgW+upuvIZbjzXadcYLbBFV7a3aF7aNecSsTlt0TFmMKAIwnctK3my+j6xs6hfeZ063btyqrbTpAluIZF5oNxE0YkD0a3Zt67SpSrdevrjzBDJ1S78wW3VU32u62SS3tTai3ktxcK00Gxm2fz45kom6WRw7yeV+tSeYd79N6\/1bqZUwAGU9VgSExFllAQwspfmBCJAQgjjCg4879N6b15bXpHXb+O+njaAzOl2JreaYxyGeMLBO9uHMPL3JKxZJhFWFv9sgDGw0rTCEsM8E1wGqNK+71\/dioGKHX0ngO3AXdmez3n7sK4ORNPfjaDU4+U40P6jQa4Lb8Kd+WuNcAegHGYwCRmMbfwn0U447vTQSeE1r6kYUljUae8eo9+FUGgDV9\/b9WKk5k\/vxsBqfXsyw3djmL8nr6+oJ9IO7I4A5mppiSQP4VFTXBRsiBXBFfQPpUwQGy9mNzNmOGA+W7Aqfplvd6dMCuP3Ypl9WAeIOAQ2dcEnU418PHFRmvoJPAYifeeXyyTlrwzwJC1BwGGXd4TQHvFRicg8QD7OzDZ\/wAXw9fU4pg\/Sphjn65evrXaK\/D9nHDkv29nDsy9AHZ9ID0Z4HizHGmPC+fs7cUVq0xpgEafQ2n5cGny4Iwo4AUHHI+uuuBnijDLDjdkxqdM6YqDnn8dcV+lXhgFX8XxxSuO7G1Wz7sVqPX7\/RU4rXFK5+iuM8FuAxrg+IaY3lhtoPjpigPCvu9ffjJsf3Tii46ZbzA7rqXlodRuoSNO2ns9Awa0+vXGRFPaMTpFIpeJtrio8J7DjejqUrTUa\/XimX1j9uDXI+vf6G+l42ovbrSuLWPrExTpurEEjd2Dd+HdpupQakUri4vOl9MuU5fieIDnIqHMNFNGCHUA5ltMqmtcEZBV1HHLLMYDIuNxBHeM\/vwYenQNPNptQFmPtAFR3nElj1pWV9v8yYmnJehPKijUnnGtAWbIUNKZHGze5O+ikLUU4Fv4cvdX45+gdpx3Ykj\/AAbCffQ+jr00DUlW1cg+7HRtkjBxJZitc8nTU9\/HtwvcKenYCK0NP2Y8kws6rHHfV0zPgY0rXt+GKcKYyxqcV9csecxJuMf51QtTp\/KU0A4a1HcRjqIkcnbeyqK9gOXoPrwOK4A+kQRUYAkAYAUFeA7sLedGvXtrkKRVSaUbVdpqpB4ggioB1GVxcdT6Gtv5pWv89SQspzNWVQFrXU0Na555jxnvJ7Bi3j6ndvB08t\/MdF3Mq8aLxJ0461xHB5HsWsVWIlripMssmWYLf5dR8tMw1c+JZ5ZGaUkkkmpJOpJ7ThghoGFD3jXP0XN9MrmKNanapY9goBrmfqxFdxF+Q6gjeu00IGo4Z1y+3FBph247SPrB9HmD\/wDVf7MdJI\/+5aH\/AJo\/oZa48qqzsoS7BqrbWBMbceNf3aYMsN741pkdprmB7fqxXvxTBKnhjzk2+v8A1sdQBp\/KUcdaih7AMuFcdXKaf1Cb7fQfXgfTQYS2tlLzsaBQKknswqTptJFdQfsr9Hc6giudaffpi7nsLGaeyiUs8m0GNFGrbhlQZZgnWnZgsMjTaQMhT9v78ZGh7R+8fdhFLE7c+z7KYRtozH3Y0wARli6liO2TwZjvlUH4ZYtnlcsxrr3SOB8MvQ\/s+5vR5h7fykn+E4sAvA2lP+KPC9hB+h5WhqCk15tYf3RExwWNhCWqGRgorQcQfXswScNTswaY89rw\/OQ\/+QmOsin\/AKlP9op6CBr+44oR4sVpn35VxZ\/1VJ4bacAoIk5krjiVSuQAzq1AQMtahbPyDE7SbSHvJ1HOJOojQVRCPlrQ17Ac8SXVzKXuHNSx1JPpAGpwtvZorTEnIsFGQqfExAGQ466DPE3VOu31xLFGaCGJCnNbTKVjmgodxVangcf0W2sra26Gjlo41hQvWvzGZ1aYt3B9opkoBIKip1x2n78I0cMZmcEiLfHzjxyi3cwmme0JWmYqMRW8Hl+9M65Ecpya9wC5acfrwkfVLCaBnHhDoyk9uuRA7sCSVWMY1C65mgpkeJxcK4h3FEcLzolYjerDapcs5PYqk8KdlmYvLt+0bbqEW8hUjexJDUzArqB2VphPz9o0Yf5a6H2NoSOIGY44Yd33HFmZkhAnj3IOdCGIOnhMgOfZTPhjzB+X8sdQk3WsgUrbSkGqmlGA2t7jTHT47+ykjo9qCzKQhKmOqq2a7hxG4kHIjAJrQA46fcMtuFu4uZEGnhUldMwX3Vrl8uuWBIfKvURCdGNtKEP+65WhHeMBOo2bROcqHUHsPYe40OPKkKTNGwvQQwpX\/LY8QcjShpQ0rQjXBRjCQWBrRqinAeKgB4ihOmeWL3dH44rlo6DiBSmp1z9mEtOVG10ybggkQOwIqNqbiWJBqADUjPBVOgXRP+56+\/s4485t1WyEfNvYgpDqynbCgOa1FQfw1qDjrm4UI6jN9wGILQiIzyxo6DmKCwcAigNK1rlnn24jQdEuQrMBu5bEZ60KgjQ5GuRIOmCnU+nlVMjIHVlePco3FeYtULgEbkB3KdQNMWhB1kA+sHB6dFcstruqQDmTxG7Wh4gEfAYZkUKwHac\/dup692FAOor6dq4hngYLKhqPCrCverhlPvGB+cuXkQfKGNVTs2KckA0otBTTGZr68MV9frwf7MCWKaNbkLtEghhEqgCg2TbOahAyBVwQMgRiCSPzBerJTXnSVNaHOrGup17cc\/qN5JNNnm7MaV1oK0zOZyzOeACMv34lQchnXYA7QQtKBzFXKVozItBptYfbW0ZOuXSAFsllYD\/McaVyBAGQp9mFfqV7JMQ1RupSvEhQAoJ4kCp4nBPd9xxHEjwHYmxWa3t3dRw2yPE0ikcCGBHDHmBbbzLfRxi1kO0TyBMlrmm7ZTupTFib68klUNatRj4QxKVYL8oJ4mlThRqCMRW6tCVRdqM0EDui1rRZHiaQCulGy4Uwkf8A7o6hy10HPkoPYK0HuGC\/UL+WZzmS7VNaUr7e\/XHlaSKEyT\/nVAUECp5T8T9tcAnkISKgENWveagfDE5lZedLM0jbdNxpoDwyGtcLK0kZnUUD8qISD2SBA4PeGBHA4DL1KcMP77ftx55N7cNK6XsVCSSc4EPs+H2CnXwT\/wCozD4DCgXRDKAA1F3gKKAB6bhl2HBlW9mMyurAmRzmDWnzaGgqO7DzX11JJKWJJYk5nXI5CumQrli1C18MgY0BJyB4Dh38NcWt\/wAsBJmIRCaSPTUxqaFx3qD76GgRYpBn+LVKfxZDM9wFM9cJXULT01AwPRQ5jApjXGbGvs\/fhBuGX7v2Y+YYBJGLheNY\/wDzVxarxBb\/ABufv9B9eB9HmJe2zl\/wHHTpDkWjtWp748vhhcvSceUpRbvI359RRc2NYn0BIzGGTkzKdoNHQrTxEak939owPRTjjz+f\/wA2H\/8AnTHXs\/8A1GX7F9Dpp\/YTitcEHEdtdDn2aNuVCSNpHFWGa14019uIW6O56N15k8UdxLW3mkzzV6VUkcDxyA1OJLSdkZlPzIdyN3qeI+lTacfKcUoa4zOO7FaeiS1kYhGpmNRQg5e8YSBSSgrr3muKj5cH14H0dbB42smX\/ZP26YsY5gC4itx7DRc\/bX17fq+PppjyiqPtYdQUg5HSKTty9csfmGuZpJCtKM1QPFuyHDs9mKfi+zHyj6sGvHHnZgfnu4j7KQIMddPb1Ob7F9DevBvoan7\/AHHhhedMz0FBU1oPomgzwnh+XjipUntwAB2\/H+3FeOKfRPYcZaU+44rjrvLFZPysh9+00piwjCMZuVa1r7Vr9WFz1UH309NceUbkuKHqAoOP+Wy\/fXC0Hw+h5w3wkRm4iKntHKUH6qY6wJU2luozn3DaB9fob14H9ERXCgsaDAA+hnjX6BY6DFOGCrZg45RA5P8ADwy0+rAA0xQE4zONxFRQ\/YcWElyzGS2lEiUoAGAIGWfA+\/A9mNcVrj5jXDSBvE2bdpPbWuCFFF1oO\/XAO7XBNa5fV8e\/9OSBU4B2nh6\/Zg11FPqwBsqK+\/1++mDQ5Vxm3240y+iSoJprlpimZIxlSuf2YAArp92NMx2Gv4iM\/Xu+i5JAFNSaAd5OdBhlp4Q1ARx417vjiVq6DPvzp+ny1wTT4D24rUUpXDNlvPs7fX9+MtKV4YyGVO76Vn1tbQzLPdxW+1SAd0siopJPBS2466YtZmH8x9p9pah+\/EqMrAodpyOpBOXbTAV0yyNCNQKGufDHnzyJcdLhiXokFuRIlKyfmCxWo4FQviP4ia\/RvLxIFleKNmCNoxUVoa8MdK8531kttczT3UfLU7gBFK8VQ1BUHbXT7MTLtNTUaZZMDr+tX\/T+gRB+uWsiXUKH\/vHgdZBHqBVtpUE5CunZBYHpnUv\/AJKSJYT0z8pcJcC4ClQaldnL5gADiQ8Drlinnnrs4\/1CvopZHk8Lcl3Z2hVaAAbEKJnUmhLEmpwPKf8Ar0eowf6iWvNQObWSRLxVY8poGt42jqU2CjFcwSaAiv8AqL\/rF16wktYPMMsK28EqbJEtoCyxu4FApdTXMHLaandX6N5ZOSFljZaioOYOhGfxx1f\/AEs\/1K6H1G36baXk8vT7yK2lnhuIJZHkCEwrIyybiQagCnhzI8Xmn\/UDrEd507\/Tq4iWKwsplCmQqTuuGWivGWIFA1ajKgoS36oFGpwwLAEDHgaudMFqZYFTqK4IDfVg3ZtITclab9i76dm6lfdjQKPxe3hiO4uLWN5lNVdlUlSMsiRlTTCLHRYxwXTFeI9NMU3UA4jER5SNKQSDQElQc9dBgBE2x9gAA9lP1UMpzGCTSpwAqrrXDLqKYjYEaU\/dhmNKYqKUwSW8NcIgYEGo45U7a9vDU92NoGQxXHd6N3HBGLbaoHLR1HeHoWr8KV7cIhoKjd9WWFLUz7O\/DKQaj9XoDTBDGoONn4cFKCmCqgcc865+vu4YGQ9BU6YIOox3ejcuo07\/AN2IXNNyoR3evrTALLWmmGNBnlnrXFf0uhwPZ6accAd3pPo09J7j6dDgimf7MUWoOAXailSPh+3FhvfxrHR6HKu7OmlQVxEVY8vdJUGmhrsy40H1Vpwxu35cOzX4Yi5rf9QJCeHy0bj7xl7M8sjQ5foyWOWPMo\/qotXsbUyIDSsrkNtRQSCTUZgZ0JNcgD5fPl\/p1xd9VvUnbkqoA227hHZWJCsBUbsxTPsOOl9X6ndtDezxX0ske5DtNoQNvhLZZ9oqQRlqemXL+W5eVdyqsXijLNuQyLVQ9VqgJ8QGlNcP1S76JLH09YRJzG27djMUVqhjUFgRlxGLPzX5v8zTWCXs9xFbMEDRGSCNmbmkioFVAFDmWAyrUdK8y2Fu9302ayS4lddvgEjALRa79uYFaHtB1AsbX+gF5biQRpskiZeYY+aIywegfZntJ7RwxBN1Pojx9PblM0iMjhYpGCiTwsfDnQHidMRdFtOjzT2NzIq20u6PxkxCUq1HIRgtSd23TMA5Y6pF\/Q222dqlzK+9DGsDllSXeGKlWZCBQ1rwx1jr3m3rUtj5btGijaRF3UkmZVWo\/hG4MxAJCgkAkAHrl55XQdS8u20kix3MbDbMIl3OYgaF9o1oNQRwx5euuo9NNt0m\/mgUSl4yVScqFcpuqKgnaGALMKAHB6X0KG5ubl+qT2qO3LETLApLOXBG2lCTWmWRFQK3HT7rpFLiLkbqOhWly\/LgYMGIKyPkDg9RbohFp+da0qXjH89WClM2GhOugGZIyr1Bby5t4rZemz3UUiyAo4tqiYA0GcbAo+VA9FrXEtpYdOKxpbQyb53VAxnXdGqEVq8oFUWlT7KE3nmGXpyR2EELysGkQPsjcpIQlSTsYUamQJpmajAYaEfqGYxYLL0WG96\/N1lJZ2kRxybZF21R1NHYip2Y6lb+X7uVLdYerCBwjg776SOSI0y2FCCopQLSvGuPLdj1Ezme16L1O2l2oDumvJA0Z3HtABZuFO3CdU6B1Gd+qT3fTpGj5JjECW8arcUYkq5cAoKUyY8M8T9A8qdKlt72O5SKKq7VNkrCYV\/vCYsKGpINdMseW\/Kfm+6nV+j3t3PHCkTMtyLiM7VaVSOXSSmtdDoDXD9Ou1mZm6DDa+HeCsqSlyqkn+A7Q9aaHhjokHSepsemW\/U5LhIls+UY4pLIwuHkzaaVpSTuIyBHuNhLPcPKeh21tQqaJLBOzlRl8pDbt2lSRXHSJ+ldVlu4J+pz3Nw0lqy8gTWa29FDVaajKDtApr7T556JB1u5uZbvptnbQyvGYhJyJHd1WOOixRDedquc8wQdT5t8k+duoXFr0i9mtZkeGLm7mhcGSNgCGUOg27hpWueht+k28dzaRdJv7ya0iCcw3CXNu0Sq702x0Llm3ChPZpi0t5JZSUtukplFQhrS5Ms+edfCRQigagA7MWPTAbhbWbq3UXkZkQBILyJ0V6sVG5SQaEjjXbrh+hXXmY3HTo+l9L5dzCiTmSWynM5iblM6IzCi5tRcweFfLVn1K3mk6VF5nuOoXCBKNyZmy257SQKELrQEGlcWEDdQvHsYuldUsw\/IVCi3LhrULEoCbVUBXNNzHNqEk4nsuoNfQ2Kf0udJOWHLy9PQBogBmivQBWICgVqNCY4RDPHIekdTtmXYtOZdXJmhqRWoocyND2cEB1AA\/Uc9MZYO6lO\/A9PDC1pXh+7HdgVxnjLBp6Bsru7tcfza83v1+Of6b\/\/aAAgBAQEGPwD\/AKOz\/L+q02yh9Ud1rTdtti7qAg7KU2XZFXDuXFfMwnY2Ubtlr5a5RlGt3CRCOCKAb2zl+146N6xh1tRYZZqzSX03VYcISqTX3\/mdcZUSxWWLUfzse5fwj2DgZKSKqdi5aOCLJmAxhMQAL24kJKbLPda8dwrWbjnlIawlYaDMWLGpWk1mfliWlvFK2pdGStq8qzKCzo7Uqf8AEKkPpJxk+u2TsGvJp3WtQduvWWPMzoZ88asbRAt5ZCFzaThI+raVXH0Ms7SIV\/NzllTcFIp6mZRUJ7JXcZY49r0+zrUs26z6hHKwcCqZ5q+o1WdmE7YNqXjjTkUwpM\/K12OeJEdptfU6H1kEfUPip2mkaD\/K5zL7fklMsd3+Rpj37jpdpspI61PfVf4KyVZh8tFGOr806aKEb+36zfZAwDaNFr\/YW9914dGx12slLSnHXS4uq5OSSxGyMeMvj1QySk1li4LJouH760SKDFi3IRU7lumY3uZy2p1O1S02TS9F0vJ4qpQDLO5OTir9lsEhYpyGmJttpJ6Kqykox2goxlI+XfxByLFUWdIIlVUTQ0SmMZ+KZffdkrEpAWpowYWOvWaozLuBn4OYQipSbiQeMZFkYvravHTdQglORQxRAfCuUbJuVnxXWY7V7fU5HrzdcfpLvK7ZBfeD1pUK3nt8i2UFpNWvxGSKCp3k\/Lv2Ek4V9LRooVZFNPsRZbdgujRUdjm9usVgIyqjS7LKT7tA8RHGSmXxb2hA1qQjX775qUkZNxGVaPZOm4FlHByODEz6YrVW0+wyWibTY8Aj6rAx9FmZqH0ysxasw6jZiTjNBdUpzDPGJUlEJWMlpGMFNwRVRdNEqyiVfmomnahI3az7FZ8FicXQjKWTTlNQpfzK1qgnCjm9oZw1ZwcY2F6tIqWIsd8qYglXMc5Ux7C3DUYDR71+G+4Wj5BRaxC1fP65K0yowkLCSsdE2+wTMzQc6rkdAlO6KrKz86mDlc5EU3TlVRuQ+FIZxQ9d0aZ7CRmjvqRAVeNztF8xd5SsKFzhrJIWXSq7WmT5momp7K7Z+7jnRU\/Uk6MU6IqQ5cEjr\/FM4ftnlmD2vWXFaoMln8rIr29hF6RQI0ktMTlmK4atXB2qkr9ytmHzBBIzkDKiT1f6re940G\/X+RGeoVTzilVeg3rVMXVpNahXMlKWNpI2jLtMrkhdkrbPPyujoukUG7b2CFBNUwAoGdUWS1w83QcvDtLC1aur0h4V2hQ+yUC7h2lScTrzQJJ65Wz5WRcKkfnKZSSIcpBTbGJ7hqnETF4G9ViK6yX7rlboNxVFYZS6\/wAydEX0C0XNWSG2TK0Qo6WeLNisQI4MT1goV0HpAg0OpLdh2knlWbMmURBwbPIolhologYaOLFwcHpOiTVutULMtWbRNP314KuVp+5OkU3zBOVAU0\/OrZq+kTOj6paLvfpzR2N012vUkt\/tFmWscLaFcAi9gJmsotVDJMUkyOiqKOfkU1DKkMBPby6gz+hpsZygaDkGiTNuRqQuUrXK5hKMpeQRTgDWZuMES0u2pxA3zrz5EFPg49PnSYZtamdUl891GmatArTlYPeabLS1OcuFm8LdqSnYqkezV16R0f1IkkmaiaxU1SKck9JqDozrZULA4pnYLad+dRiGYta+nMSG0UCMpklW0XDS5uyRbKDesTvGy4ouTGQUK1FMvt++eyUYtvPbDWHTdK0YswnAkr52A6HZXliCJIxVlrAm4PCi79oHBjgVwJfWKKYD6PGXXLddPpuoBj17j77U7O0wuDoW4y7mBkjytcrl21Os3AtalKjHPBTMsyjKnCi6FsiJlCmBUyuhNofWYhlFWbtVB9uKrDWLMXlpjIq+tUm6dhrF\/ZJ6XAs9IoUuLRNRo0STg3cesHrM5c\/ZAtKsLrZUJpxVO2Nz7UOkUMxawactIXemJ1eSpiPylzcEjWTR763TZ4JHBk0BK2FAfR7xgtdW1tqw1CB7Taf2ZoVqlc7Wla9CBq8YlB2bO7LUmt\/hn1phnEMUUzPG8tErmVAihSJgUxDpWUNxhpq8tO0Gj9l2rm1Y6Ezn67\/S6e2qMnXJrO2ulRISrmBIgLmKkyybc7RY3mgp9sT9dreGxGsyXX972GcIR62etod1bUd5kHT8CPZJpbXCEa6qx3ZgMsVouV+AABSNSgBQeUmsbc0rWQKdm4PtDH0x1lxp6yRtna2dtbLBUU7qbRIxmenS8smqs1ISHSeMFleTuHSQCif\/AKZnt80mNmZWnVuxZ9W5JvBy+fQLtJ1pF\/rWcwrpeZ1O85vQ4uNazlpbHcuJCZZJJIAYwGEQAprB2gUp2xr0mA06qZitXG9YrQXx26n6HT9YnLM0gzXMWJKvn+V2hzYJxVw8QdtY6CkjEQUFFEHOlUmLwDsFapPLew2ZdbbGeEd9eo8S3rX9Jkcsz9+eKuO81eyxFbsk6jHyDQ8gwavHddnY6WbILMnAqpbBnVlpOgma4tWbpK2O5NZLKm8ZYbTR8cznd5PPaLWJjS4vQLDNrUHVIQoPzQ7eERlZBBms9SMqQ4M7E4xHaGtPkYbrvJMbxY7d1folPI87NVm2WSgRE5NXvsLWk6s7jRoE8ymDyZGiMe+iVEgOqKzUHDataZqVap1jcRLKaJDy6y4vRjX5nSbRz\/yCL5uYq6jFUA9ChgESCIcgICMpYMou8HeoaEnXFYmH0E4MunF2JpGxUw5hn6aqaS7WQRipxm5FM5Cj7LpI3wOH6DDzxwAiA\/rD4fHgPj4u0X\/K7SXk7TNm2THV2MjLZ9WY54OTTOew7HRVp+ZtJWMPmeihoKbiJknAFORsxdHcpIgQDGj6XCZDcYhF1Hdd5BxLzV5y8FxJ2L2XPcXrL6Cg42ySL+11KOlNASkjTLETM3cYiB0De4uiTxo61wwXSV6ZSrNr0BAW+Cn6pNBcG2GWzS8pv0itX407iZq5jbfR42sxbdwU68ka0xzkPbAFkiSfZA8VK5bmkdLWtqMtoshCMUjw1LOVjPWVdwzfuWcdEs5pu9ZCCx01gVYqCYoAYvPn2rwEvmcAE2qU4oG9BzJiYomlgAxBMQeDByUweYCIeEKdm++ZHebW7SXWZ12rX+szU0+Rat1XbtWPjWMis7fps2qJ1VhRIcEkyGMfgCmEP9Q1G+USkG0y60nPLnbajnCc2atK36yVyuSMxCUtGwlhLIMGvZ5FmmyI7+73vsHXA\/sK8egWjSo43WLXCTOd94dPqUiG9s4aXuFT6rE7DFzWZg6y4zVWWdw+7OOqN79923K6bVVFiyUUPIBIJJk0DR7ZgUPCPaA9qrRWJl9hl6bGSxU9q7gUbTFFnGrYxm15qUrAZd07nLDCQk1WY+escy8bwaDJEyjZ+6YYG4wpKBZynbvQ+sDC6Ddrr\/zUNRax+Y\/OIaazi7TiFIibKznH35fCrYoV6WmoFNS0GQCaPIQsgwCzbtdsftmfMoSYXbMqtVqX2Nuk9OQ5E2RkJCssrl1tyN3pIKKOTgD2jpW6vLkD1N5ZcCnBOm1eQqvYarv79aYqlVh5der3YSmQbyzzRnH3fGOJ6zZxGRMeKiLVRY6y6qbdFBM6qhyppqGK6zi8q2VvAuLHRbci9qFpmqZZI2x5xdq\/oNQlIayV54xl4pzGWisNFzGRUKJyEEv+95P6DM0u3WPLX3yzkMhs2lXCw5Qzl4\/BHnW2LsDKhTcjIwZLLGZi89DeSMmZ8jKt20kVUXrdJZOx3hWJu9htNmvWX6A4kbRplznjxs7kO0y\/YOnEhvnZMSsIgNksclYHjPgyLh1IrogBWopoksWhalU7VZnlvdQ8jaKwbTL\/AB2ezExE16vU9Wed0CPsCNVWmJum0+Hh5BQWoFeRsWgicP8A1TKlrNOpVxoceznKNYoJaga3qFIl6pKZrObDPUZSoTlbtUfKVptXF9zsTdu2aKJNisXKLcSGTatwTt+g2x0tH1fPqlN2ywPiIuZaQQgKtEuJeSOggQHD+VfEYMjgkkUFFl1fSQAOcweqKLdxScahcZCT0nWnyTv7wSV0y8OTTdnjI2RMmm4dVWmrOS1+vEVFQ7WuRTBt6zFRAf0Dx8fIPgI\/EQ5Hgvn5B9XH9YeKc2qn5cOS0yz1jtLA9Y5gZDudt2f3itSddrtk0jP9QvObVTCXkhZbVP0\/LH0o6lXhl2FkWLFqx9kskc5dSbDP4pLqC+ocp3r7IY2xvURWu4+vVmXhpMzfrt2cz7UKjcpuv4\/pprjUdv7m1KOWjqsyiUjAZw\/YSUhDMUDHf2OX6dTTuh6en1ZuUlG2ft92M3TUTWGzbf8Al5bXYXcHk0hT7FYJBlWNW7oRlkcLVpd1KaPZKt7MqwSVlmqgME8I6PZ3UsKhYPHrXldVedpOwE9dnjntn3es\/XFNnYKe06T6RocU5jtSa2mccs2A2WXGPLHtmcedw7WaxUnTWfVVo80dhoMnSEK7I6vprePkYZLZ8ww6DvsNHUnqrouzP6zN3O4z7EjYlHGwIydQfszxvucHJs3U3TMf\/le5zdpdrfS9Ppug6Gteqpcsm2+1YpD3+oqXfr\/kLeAtzCerysmwcQUlaG7VBRSKnk2iyy0cvY+qHaRtGQfaPNWJJJtZYCKfQ+ddjs0MBQhdmzNN4VVCLevEh9mxVz5hdWElkXJG512aYKp\/tEP3fos9oUbndp1uvTU+domqRBR0SHjnMgZsRZQiiaJ1wb+kDmKYpRHkQEPLxC6yGBsHNLUzKm6Xcnle29rMKU9tq8vo1RyeBIWQy2tozcpJ37Ol46wHBZujAIOCukRkipLJFfOkcVBuVvFZ7IoyFs1lnWK6Q2gsuo75I0xLNaHZXkYwike20cALJM3ai54pcvslMqX23iUx1B1aqy7Cj7PoUlAXC5RMBM1+v5J1ml9\/RZ2lgWqPHcBap+xViaqDqNVTMrDyEQ5cqmVTSOmSCyqu4TFWC+W6DirDSVm2wTsZRbew\/kN2e3O5GjbDP4hEWiPGituvEfFuwkYBmKjm6xqhQBNJfxn3Ye50+Sq6V4zmuaatTqG3uO1TMbB29g1m4BnGsqhQmdwtkwaDk2p3TdhBGOi4MqmQFk0vfP8A\/wAR7UB8B8+i3dwPiAD9PXv6h8Sc9Sgt6bOGnnVZlWd3zbSMrsDCaZMY2TcNXNV1Gp02zpJgxl25yri09hT1iUhzGIcpf6Oz7EMP+IgyfKNE0v8AD\/3iEP8Afn4EqMvaPuf72NGzBYv7z+6vZ+YFo6BD1+v2VePQaCzWx\/ll4lERCnSyU3Bln0bdLhTWcfimPWTsznJ86bZns3VzFOwicug50pySGZHoDdnNx9\/sL5i4eN2Lhd\/dnw9FsqlZmz5Z3z1abaXe3pZ1p9snOvcp+ZRQoKJfYxoORxWotm+7Z91615WxSK8SmeoOLUMc9QfHkhVVZddan+Wz1naxVi3\/AHpnCXW\/2SRr1XltxxBbtNXKxKuJevddri1rlnsDCsWV8VB68RfmZWacGJJKKMZNJbGdrpvX3LutZeyGfUrfJLM8ok1J+vxZNNq8XaYAH06vQcyWk7AnWZNoR\/8A\/JmyaDsFEkjLJkKspUoj5hFWHwDL5DRJaLXSIcimh7ZJSlBzOejHCShhTf1aiZ\/fGj1JYpf4NlaHT9X2vR\/RwXEGskuByXBtvuiRjN3FkA+c4u5RfVlCYQdJu3ZkJrcZWrmbIETSF4hGvzFWAGiiZvLx6TGEB+zz9k4lATCAFATAUSgYRH4c8+BAeTAICIl9B\/MoGAo+oPT5F5MHPPlx+rwtJUjIa\/AyS2htdXBdu6sDpRhdm9ft9UiX8SlISzwIOHhIC8zTSNiWhUIeNJIuPlWqJjiPiMQruKVaLUgYGi1uFBBzYfdhoTN2uLMaM2iVF5dQ8caCa9cKOmmuiJF1fwuy906gpm9UZY6rh1YhJaFg88rkOoyfWMGcVF5U9x1\/RSx0SpNqRLJ\/EOOvdG914mgV5IJ1OLTeKuE2aJCyGayOG1I9IlIaoQDyBbLTkciaJoOnzu001sg6jpZpIMz13VLM\/nG6qKyaxXzk5hOJeCg1hbH16o0szYsjRzRVx99FlEGh71\/M0xE51GWTmwU\/HwmlQU+Y9wHSihgNwocDMbBQ86r9anY6IuEAzmGKTg8klD3+5p6Jco8z104cOFkLDeEgk1\/cMYRdCJiiHqMAxqtWkEarr+cSTi15NeG5yRUxETR2SjeQgG9oRaPZKtMbQQiAg8SQfIx0uzjpRaPkhjU2SzilXVsjUNsqqcmlaKiomaOJMFrMiSvWebgYpeQmF4xxX7GumzsECaQk3VZfOWhTO38bIQsxL8h8P+4ePF3fz7X56BZVGxu5tl8wZp85ENod4tJNfmiHTO1+YZkOT3AMUSc+oBDjxTnB+mt+drYvgmpbXDQ917jb\/b49nVOs2bWjRK1mUdH2mOsTS1xBKvJSTOLZWtlHRUC2mZIsWU6ThuL+xUrMekk6zvWM65bs+gp3W+xVlj4A81jO3WCOQt1j1K6v7vIw9DiK308Zy7J29ReJsxriUAVAGbI65Gl8d9IKHpdV7C9Pd97yXqxqdlZKIljxNIob2D1ipt3ubwGi1m0K2Gvd0BjoyUgZ1aIkQsb5duYibJgu4vuoSPRRvO3DFen2hdtIfRND7LbKvP36q0XPJ6h6nDUm4bRnSF7t7eDw69zrB6ZVBWUay6sejJxUcxfw9gGWwWp9Wak2lMTtNB69V+hx+63xKst37bry32NnDNL\/AD\/WBrXwjYSnRww7X1v3Mk4kG\/rdtmrMwPhoW3sSvIGn6FmdW1VkFkBBg+hqxbKtH3BsE57CyzRq6jYmRKDkCKqJpnTMHrMACYaXZ5E6pn+pvrturhu4+0tDhvt9s+0tqyKgmOKpKgzvicSmfkfUkyL9HH9La3M\/X6pbIJvkujrzVWvlnjqTRrLFI0+ZUka\/c7lMJqxFSqcy0KdvIybohmzBmoouqAkTMHjKatIdHOqz1hZst7XSEg7sUhoNCYZZOdO23Yk+u5Rsz\/f5OHksgRk3ey1uLRFaWl6rEvLFZ5H7zkI9ONdOEL\/\/AJWOnlkbWvr32t1vVqBYsw3ONt6mm592puXWvQc7nqPZ5WJdwz+ale8VgWssSuV8j95S9latZCTYPmcorgWQtOj2E0PUMkuPXSARs6NV0Wt2vPqP2HyvNpvd5EidglZZyTSa1t3dGIjmjeaePXyTCam1Fzi5VOdWsUOkwUVUqTRazCVGo1mFapR0HWarWYtrDQMFFMkilQYRELEMkm6KRQAqSCQFAOA8T23prg+X7LXeV3JnIkB03Se0Cbi4aq4WqWMeFI4hXQ4BUKsaQZGKX25c7tQwAoof+iPHkPA8f1\/R\/b407sUuiU7HV7E3ruaPySBnyTzCMsPLwOeyrAQj4xqMLf7RLWS4xy6QOvmIqytOXKpCJES8dU9cyZFoMBjKlQSvSDi1pQZbLA\/51el+s2KBXjlX7VJ+MDR8blrKyOoksU8nBt2hBIq7IPjEH1o6cZFb6ZUdYw+43GGTncPRtze94bgNUo9l2ys2OTUep1xPsTuEfHWuzumBjWifY0lqwmGxySS3t7VhVY6XUOj\/AOZDrHP59eomu6XhUZRadsZdW3PeJB9XKTHtwrRstslk01pXKxElSMEFCs26L8DpNzHUgNne9fM8ymjOur7HLbI\/Y2TKHMjCv4aPzVrAVei1TGqDm1ZooOpisSCk5DsGTmkHaNouQiko+XXmyO5yXje5XZKospSRevo+r12r9P3UJXGzhdVZCGhnFs6qWaxrxzAhwSRNIyL92KZCiquof1HNOYPr07N3C0xLV9bs41Oci6vFOdfzVeRQI7cSbOkQFYqEbfMvlJdvDzbZkwYoOWqsdJpIp\/eCjVr+gQHzAQ4EPrD6v2+P55Zu1u6Vtg1Wcna4\/NJX5a7LLRjMsbGa7mkG8bvoGd2vO4YgtSRj5s5j7xVzuq5JNnhTRYM2tYtKlaYaF+GIi7xq9TkVpCg6vnViIZWA1vIZR+VJ\/K1CUAQTkI9cDSlbkh+VeCs2WjZKTlIKXbA8iZqOfRMozMdVIruOkWyrN62MogdJdMq7ZYxRMQxThzyAgPn4kIyEyKZimU3RbNmNlSY7Lurc1yz24V5vU56m3pdPTCuL1Xl64zQaINpg71Nik2R+WBEUUhJKjJY80SdzMnJTT2YhrhoVbsRZaY13Rd3k5GPstdtsVYId481XXLPJnO0coG9M68aBwyWO2Gq0WfzNg+qtIxG4dcapFlm7Sz+5cVvsZRYa3UVq+YTrWRMzmI3NIJMzo6x36X3cmZJchjKGPbn83lK1mf37LLjjF0f2\/Q9TuL6z5\/oFdRp1zYzLy0XeXcvrDYqc2Rh3E8cwz4xDdFkD0GqKSRLrM27NZSSfaHNsbLbQbahrsKxkbHH1NKhJz7aJgr5GxULNO6QkEQ8dMUWy7+NMdu5Mqkc5DT+Y1SJgYdhdImndcKTCmSbM69BBsE7A4lX\/AGowBRTcQ1Ra2sjszBESGWZsjIp+kRKINmLFug0ZMkEmjNo2RK3QatG6ZUm7ZFAgARFJuiUCFKAAAAXyAA8v6Oc5bJUKdur++Yv2b2B1JQ8xHxrKqtuvWUTWsRUHMouGEg7M71KMptgbRjggAi3VhV\/dKcTJgPZzrEfKW7Nrg6c7B3acJc4DQa66FDSr3krqp6BBIwsW4o83bQpLuVio14V4SVgFBcCcgAKZoKpVLBsYq9RrUfcIitVyvZlS4WvwMXo\/oJoEbCRMdCtmEYwvwFKWZRQTInLAAA6BUPLxUM7uuQYHAUq0NbJjuc47DYjXbKrcGFum09EvOYZ3i9Mpk3O26Pl5msDZJ6GiIh0lzFHlHyRSM1HKTe0U38uW71\/PKeMOMBbmWbdQMUi4hjBKUuKqz5lU9a27JdGp7eOGjQCMcjIQcY5akiI8pEU\/lGxU4frnnNYvuYdguz+l0zrxX63t2WW+DgkK7Z5gshvz6MvUUg+y+6SVT661+3SrctcskocrhomoHJCm4bNWaCTVo2SK3atW6RUEGzdD+Ei3RQKUhUEkUyAUpAKUCAHHAcceCgc4EMYxCE9QlL6jGN9kheQEBMbgeA+I+O2sO3wpzYIjrNI25KGnnGhhC\/zPiqJ1d7hbbbpRtHN6FYFqylB6p0vtFKUKod2JkxTlQ+x6GjiM1uXprGiyTi8a3RH8DE2CxWaIB9kuq3LLJCRipW5Z1kV0+Tk39OVW9iYq8HINTmMiq2+wVVXx+A6O8dx+ibZPRuM0aSj11GkhXXdxayS9wv8AHu0zopovcpy+InrWgkos3+dVggaJKfMOESmiK1XIlhX69W4qPgoGDiWbdlFw0JDtEY6Ji4xgzIVsyjo+PbpoopJlKRJIgFAAAADxnxNleq1il3Uj55O6tNWLM6fl2VQTK5Zpnydn020aHf6YrFwkhcdahWSJo5vKKgKqiiqaaSfrETD+ZH0I4D4+nuD17MPx48il0MTD5+AEPzI+hJhHgAKTuD17Ocwj5ABUyaGJjCPPw48CiX8xrouKhSmMYn+bHCPIpQATCYRvfAceoPp+nwAq\/mN9HE\/V6TBz2pxDkQEoGD7IXYTF5KP0gHj\/AO490bH+rtPiY\/3XUfETI1v8yno3Aajn042uOTW8\/ZnIFUIO5M0VmoR00ZnbheOaRdYx2vCWNoiYijuEfuCpKIuARXRrk\/Zu5\/V7PLZJslE7LQJ3f8wfTNRtEYqdjYa8o\/YTwsJ9lGyjZVNlLMvXGzTIEnzJRZoukqbSLvglWkuzmVZmk4bzmtZBo+Jv6S4sETTo7QrNXIpaX0OOlHr6u0yURcLHBt6Duj\/LkA4lMYEzD3G6+etQCmKT+ZlYUMYDkBQvtmQfHScB6DeRkxMUfoEeB8CZr2sxd6mY3tgZlc2LsDHH\/wDLIZqZT1H\/AFB5+GUxT+y1CqmVWa4SFqb3enOPTYup23zkdJJr6vUAPCScO+yjZJA5Iq7QK6BY0JGTVknYGbSMs4bKQOhbRmcHpcK9dsHjOkSEzcahfIuPACJaNmL6IjJR\/IUmZV9SJ27j\/noWURcRjsTrNwWcOWrXb2Dx0zFqDtszpeku3LX58iirL5hBtTVVUfmUkjGJ6gD1AHPhU8PrbubTbu1mDhSDzHXZlJF82AguWSisXQXaZXaAKF9xITe4TkOQDnwBCXW7LnH\/AAptcH7AO1Tj\/wAKaTbLlVFDfqKAj4zek5RWbDekbTLxCN0lLVW9Rx5WnQU5reK4wxlIJhoWVRze9yZLXuUYuuxSdsQRjm66plvcFBJUPV8f6wH+0ClDx1zqzlKPPGVSR0TdHnzftrruHlDrLbNICNbtDhymYJncU5QrsB\/gqw5EwARW5KBS88B8ORE3xHnjkwiPAfR9Qf0YvsDtmbXC+XSVgLTmcDOU+1x1UtNJquYda+4212aNqUutCSruMZ6fTRscBOIkASSgO48y\/BI5IQ7IdsOheY6RB706m9rwRq7u1\/q8ZYIINPtsT2Qs99g6ldqjZqq4sFQ0fSBO2r0sDc4IN1miqhVCpo+K112R0HELrs+ptpRjnNzl1J3Mm9LcwholpPuezuJ2JRhe8osbQ061JBxZHSI3eUUI1QNBe+CiNFx+uyMHu\/fneavY5qMlNTtsVAXSfotaWbPLjY7BZ20LLGzLEYZ81BSJp1SiDt15ErlaPh1PYnpRpr+c3b8wzSqzcgZkir2z6m9RWG7ZXjrhnMRbhSFvNdruTdgNLgbEq3jlEzN5u7xDl0or8wmxTQAGvifzus75BdmFRYllbz1d7zZPXsquj+uRstHFj7HXWtYxPG9EzuLayDgqjewy1GujJw9RbEZnarAo48Stcn9ZSdZxC2jSKDF2PSrI1ltAxHVcnsdiitN6zdh74tarJF2S4VtaEfKUyyleuwuEFCvhUdyDpmSWm2jrrFdq9MPYfQYN\/VMmzlQZGbvlfpukM1Jk3Z3UbDRZOM6v53fajCv00YssYrZ3JDEOydPVgXhjXAL\/ANNZu+ydury01qFsoWyaJUZGfDtPn\/5kUvf5O3qQz1i8nGVUgaTdGYzrtUruvQNrMowBk0iEEDITNOhF66z0yWmNimopScmJ5JK3aq7Ndbau0czKyiqDZ9Py664IoJtmpDqGFFBEpvQHIjwH1j4nHqpHA0jrjWWlZiUnDZitGy226nDsrDY5xD3lFXjWZzPIV4yPYu0CpCdvfpdscTFDyr8JBQS170u9u3kTnedRz4kc8sUozZqPHUnNTB2sgSp0GvplIpNTZ2zkseiqQEkXLtVqzc9aLHc55O8a3f3US90S8qMSMG0gRp3F6KN4yj1OIMo6XrWS0r70dhX4NR4+O1WdOHztd9LSEhIuimSZNEzFH1FMRsiQxTCPPJRKQBKPn9HjXDNwBuP4BtBhMiPtekTRLgplAEnpAqgE+BviAgA\/R4qSnvuAdKVrFBUW90xVzquF6uCxhOUS\/bOKg8iHHI+Ew8\/LkvxH4B6fIfPz448f7R\/u+HgSiHIGAQHzHngfIeB+IfHwfdYtCTc5boTiFgexEWg9YIxFOkWMe2gah2QcJPASWKjX4qOZ163rEVMYa6lHPzlKjAKAv2Uz2mFhAsOgaXA0iMNaJFeEgCvrx1dzmmO5CTkWMBcJIjWHYOyPUk0WAndrtRbmOkUwKg2RU684cU6SSZD8ZVQlS+4mQqfPuDW0RPyUocG9JQEOOA448cf5fMOMUfMQ\/lPQhKIh8BH\/AOQcDx4eMH3XLCXTN+2XZvGy+Q58si6aOU\/actl0lK6ciyDhEfQoQwCU5fIQHxe+q1fsS9JtGAbNdGPS3bXEJHPY9eHuuZ552M0LrveGkP8AdcbYmMW20lUj2vujx7iwVWPbzMadObristF9nGVvgXlM0Kty+XtLrTXr350Id6rXZxJKUr8oQSo2ChWBw1crQkkCbdV0zIAOG7Z2mu3S15NwsKxUNuthG3qVOqYjZWErLpIB9ZjGJ6vfExQ+HoEBDyHn9HXMoHOCajypmOT1GEplA7+flvIpGFPn0\/ZIqcAHj7PqEfiPgR+PAD9f\/YAj43W6g2E4ZbV836\/x67n1CuynXsX\/ADzv6saQAEqUbYK\/pdKTVMPpOo4h\/tB6UyCP9GPqWu11zZq9GPLA+aR7ewWKvehzaM5veTzhjO63KxD5Qr2iaVMMxKKvpILoFSgCySRyaG3zKrkrDbUdVu+33pulIy0knNadorpvIXWzFJMvpEI5SeftSrqNmvssyKiYyaRPUbnd9b3yowFlpF\/uNvjIUJ5Bduev4lgcta6DSnkdYGyzCRZM592zsl1aP2x27hJtc1m\/uGSIUTYPTc2v1lvGZdmctZbZrsO5tFZqGxUGkuHeZ064VOBvdvo9ltVQjqDQ7fXYarDGWhk\/cx0fNJoNmEqmjOIuTT6eS0mhQMSjV87zKzrRsZBW98UwvkalXq4JXMjZZIWKDmQcJtm7pyCbdd4uHtpLKlR0TCvwtsc8LJheuu2g0m6wLEsRbvmCsIq\/0LRUSSkZHuIls5cg7T5UaSrMjmKepqtHbhA8\/wBo+11rjdx1bAtamqDeM\/asa0hn7eBymenLNltkuVDhs4ocZISs3oE+xcgR23lgYZzoct7LmQVeJqBGsoJNihDtWTVGKSivlyRyMagkRNkmwTagVqkzSRIUqYJgBClLwUOPEpN61m0ZdZOZp7ugSyklK2Fsi\/qD+j7PmzuEcsY2YYsTIuKR2IuceKntAv7M8sIH9abcyMZBRKSDCJhY5lExbIioimzjo1qi0ZtUzKnOqYjdqkQoCYxjCAeYiPiwQUto9Acaiwhzu4LIAv8ASozSrTJuWgLwcLC1eanY+QWeTZ1kgQMYgJiRQFBH0efjO6S52Ooduu5N1XmLPe6XnM\/n7K82vbtElJW33JrYYWDUSDP6Dnb54pGOJqXbF+6oCJRKoVVz7DRWY0fQ5drdtvucfHR1uuiEcEZFRUJGGUcx2e5zEKuJB5Vs0hJB0u4bM1nbx67dLqO37ly6UMcvUNQ\/P2nTcAHyApP\/AK1Py+kiiI\/aHk6jkoAHHmP0h+jXAHngc\/tADx5jwMU55\/s8U5UQLwFdw8xxMPoKA\/OVYoeoQ5EociX9\/gv\/AJz\/AN4fpk4WXj2MvEy8e8i5SKlGiD+Nk42QbqNH0fIMXSS7V6yetVTpqpKEOmoQwlMUSiIeLN1kk5O5KxcVquT2fK7akso1foZvXc+zGJr9JCzM1HKr634pKrxjcxpBAqkxXV4xw4PKuE59fwSwx+4aDLLs56qoDDTkLjyrKRaSFphYl+yXGLzGIlCoKsnqn2k3SaxBEBA\/kAeCh5D6g5548g49PIfH4j6vLxatCsZHzmNrEWZ4EXEIEdzs9JuFkmEFWK6xUVQLIWa1TjpvHRjb1kF0\/cpJAICfxLZVdp9eC0+5rWDSpvQ6l7ZZGj79ZbW80xje6QsJY75oMv0Ry3NAkdh7a8dFNWzwqqBlkz6pLyGm0\/MO+2PPqFC13sHD1xKyZ\/f28a0QJPfi2gtnEEglnHYuvV1sefrZyKGqkisR5EnM+jIx6XR3NqioqBtTjW5txaoCBllp+DgLUvVKgrZoWGnnMRAOZ2JjZ47lFs8VZNVHSBSKmRRE3tE8dbgAeD\/M1cQH\/wAIfmBflresOf18h5fT4HnyDz+H1c\/t+jxE6QsKqg7DZL3sMY6clOR+6pek3Ocs2WklCKIN1E30Rkz2CjxTEvKBGZUeTAmBhER+gPFrv12nGdbqFGrszbbXOvvdOzhq7X49xKzMo5K3TWcqIMGDU6pypEOoIF4KUREAGwSNGWtCrSsTylYmSWvPdBzl+1nE4yKmF2RYrRavVZV18ozl0SqnSQMmksJkjiCpDkL+nn+\/y8YpRYe2XmvLSfT6lxEMNIvkxS0JiSmsOYQjZhanMUqUJeLGQd+pyg6KomZQDAqUwCYg9LX983fQE5S+9Lc5gqrD3fUpKRu1jnHNsrdfzxtqtLihaTN2tGkP9clhauZCOO3PJVd2qQSHZuOKL2ZwynTnauczc+pt7h1t2+\/zmi0Cer2jSNDuKT2l51fpKRpEijX7ZlsYxd1wwR6DmHeHctzi+i2iLmRoetT1yhtF2CauWj6VXaXrNySjszsWjXax317WqFYoCWik4yzRy1m9FksUGlGFtVgB5KiimR2VEmy16T1ns3XIDsN3+z+m0lKF33Wpa03djlsVVuul7irSMzZ7M8sEAZXObpYXRVjlTdxdfiXLo3ykY3SS7kYzdO4G6x0PgllzWBqalMNmstHHbDP7FCnOiO65xtt3bfMmoyK7hN1PyKpzmMgs5dIJp+Dh\/nV7NiAnIJRGp9N+eSiHqAPR1H9ZQOHkJuTDx8BDxY6BnfZmwaBAJ9eFbVMMOwNTzudiotu3m4pkSYp8FjdCyJule4k8yoZos8Mq1flWFGQBwRFqDbv1V419Oz7xlseWy87cLc\/Cdu9ws0hhPXSTlrJapr20zunkm\/5Om1RTbR0Y2BNnHNWTBu2ao9QgKQqfq6k9rxFMgFKQxkNe6bJJrHKUABRcpP8AfHkwiYw\/EwiPjq0cynpckc14GqYImEVjG73\/AJdySpPfKQRIBGKq6npEwAf2+fP0\/o17gPUIZ1bRAOBHkSwzsQDgPMfMPFaJwIAWs4dyHmAgIP6ebgfq4HwQR+InU\/sMAB\/Z\/Q0SsR78Ya2Ib5ic7QLYQCC6pl7TxqFhWcugqZBwunHyMJJuYeYSRAh3sDMPmYmKV0Y3iDtyOFZfR7pBSQxNwpIUmpoz2ZaXWXKBbBWll0IxNUDxU2gVxGv0gIjJxqjSQaCZq5bqG+yA8h5h9I+Xw\/f\/AG+OtcXYnBSREn2CYGUZrr+xHykxX8i2C301vI8iVNUY+712NfsiHH7Uoza+kDHApRMBf8PpOIefIefJvIfPy8\/HZL08\/amc8Mfz55Maquvj5\/H08fs8biHn9nsLfy+fx9Ix1eMU39RiAAgP0gP6MTu9pkEoiqU2Hj7XaJlYiyqMPXK931\/Lalp2WcJNm7lyo2i4lqu4VBMhjiRIQAOR8bahh3ZLrhaNotMBHZZnEEhtmeuVy3XXbbA5JCSTosRfYZ9Hs4CRuib1y8By3Sj0Wx3CpyppHHxnmd0nfcUm3dhmq3mOfVHNrpXrquMo5ars4CGTiaQ8nTwMKm3jQbpO3fy7FE4JIqLFUUTKfRYPBovOtDuGRysVG6xN6ppD3G8Sy9Z+3bSKUJb9OZUbRpd7dZdo7SQZRUDAziqbxdEj8WIKpCpBaV3afnRiTuGE7T+tlSknMFQIFp7LN01kb22be5OTlkB4iVQqLqQXO39hT1mbJPl4lpXs8zatRdQpVUjUYev16GR9ljHsm\/I+kBMZRdy6XWMdVw4WOo5cuFDqrKHVOc4+BEPiHjL6DpiVtVntdpfYG91L8NwbaVYpwvWvOk9O0IJp24lY0sY6eQS6TeKKIGI8kVSICdMTlEdJpMg+umeOs295B7K3iHryrGzyje11elmrVNiKJbr1dpa1P7Bb2aMfHqxDZ1KB7x2RHCbdwdK0dP8AGs8ped2eHseg6FE2XYLcMnc8owbRra+vmerTmW1GMttZgm0UpcXFPqBgsU83fq012VaNTQbPU2WcMdDcXh\/TbtKT0zVO+P8AOyRzKM6saupDIHpmXu8MUB\/mclULFdHs62p7uYMMUyi7StTlEzt12qMnq55TD5ewXmuUmefVvZcCsGXy9IOoxYLA1sthoWz3qjXilTJnLcVnEKxb3dpHoqJiSVkDlVAk6lLQDrpvj0dGnW0nYNN0HMCafH1tNFU043ztpndyv2eUdNRgb0nt03YiOoU5VDN4VwcUXjeqaDdqPOdfuvnXiX0PJOrbdOp7rKY7KVmItk7jkL2HvGqzmMVDMqSznM4hW0fWWr2UMaBZz02nIvHKjtsdt+ZdNz26Y1Bw8\/oufua7JzOoUdizsSTe19hXjxaBdOJxBOaQQTkUlf4AnEqa5BH\/ABl5Y3fHNGqOi1d+gycJyFXkk36jQj9D5hqnLsiqfeEI7XTATA3eIoLFAPMoCA+LkIgYBL00mXPpIQVzuBQskIqBQRKchjekrYTCAcmOJCgUBNwA\/mAzTN9e14GT2Kqxv4pQw3cT1CNkKJlGOUO2ksd0Uz5Cn1okBaqq+aLqSL9qgn8sZQygJCB\/HVmUX3XFUmUR1l7RQsi9U1WiFQipGV1Xqk\/jY2QUNPlKg+kWsOuoikIgdQjdQSgJSCbwnacW0up6DEnQZO104V8KczFNZEyoR607XZIGNigvvEiBjtyvGjcyxA9RAMXz8dW1TFATpOIEETiIAKaivf8A\/LUA\/mIgUAUagoTgQHkTAIcCXkLU7QfaS5iqNOWWuXCda9e+wbyt1yWp71w0spJiztczVr7BpEmaKKKuVXBG3selwCgtzkUNrjdh2Dwt09cZzbgasm+tUMXqomr71YoEaqWAipj+19rgQKPAc+QeGrfLtIq9vkK\/X8gRnYVk8OhY4f7rnqpDuXElXX6bKebRy8gmPyr07YrJ8iYizdVRJRM5vc8uE\/WP2hHjyMH\/AAgIiP6vr8XxkQ2pyK+Z2CerF3cQXXbsRZIWvTFZTBeabPrFWsvmoEybVmYrkiybg6K7VRNdEyiSqZzgf\/MfghSj6RKA65QRVMB+BAoty2IzhMxSm8wEvIfSAD5BMRWV6ZWbdLQjmVSexLRV0yllmMNKmg3ljiYuXQjn87TVZYARbTjFNzDvDCHy7lUDAPi5RbOaeV94+27r4dpLRyaZ12UihRoN40UVSeNlmzpFdWMTTXRASgs35T9RBMJvGgdmqloNAZWPZaTXaftVXGrXQKTospnotmmWaG0hXt4m3tItlIrC8jCqJMXxmcuxkPccpi4aILBPvLOzhm81XLvbae8TgPnRjnYVybWjGz9sWRWOukL1sUipiGOf2zGEvqHjxaGERY9dqjMkqk4r+uPOtHYuNpmbabl96Yydastosk7lLKuQrDO9RqjcZssk5atGwMXKD06JCqiWuW6d3HHqdY5CLWJZ6a80aBcyNZtcOuvEWuuFKZZq9lyQ9gYOW7d0mgUkg3TTcIl9pYnPYSy57YiSzV49ymSWjJGHnqfaYuLmaYu7g5GapVziq\/doRtPRypHDI76PbkdI\/wARITE+143dQnAGL2F0ETh5mADpsK6hwIAPqDgpA5D48\/u8Tj5vWtocwFZstpqtgtTbBNhdVmJkaRZZOpW1d5Ltaeu3LGQczDOSrOSetEE0hUAwk4OL4tL1ml2BZLBNMifRFyJ3QGmJPsr0elYhimZuQ6pnTyKr0i4RBMp+QZHN9oCek66Ge2dR7MM2EROv6pZKzcM\/urOsz3zIQNncUXRa\/VLinWpw7NQrOR+RMwcqIqFRVMYh+OmH8RXj\/PHjHP8AFEgG4ruhiUhgDgFA9SRTAA+fqLz8eR8DtsjWAltIShYKvsZ2ZlpqbZw7GuLzq8OtXq5KyLysVubbntcmmMmwZt5JRJ8qkoudI3t+O2ktXmXZOJr2mXDfrphsbU9H0OMeVOvQfTv8zfr9RoaLiol1UiZP+Ir7T8XtcVER8o7K4s08ysBVWcmoqixslJ2yUu89b6tvHYKJi7Bepu7WB3P58nrdpcZpL12T0q16DoClNdUVyw+7Upix2F83RL7JpBcqZfT44+vxTewnZeubLZ5dFRpkNLWyuzwcVJ1Bk2g9L1W0qw7OzPI2EaJ3+vVh3EzqoqKrv2aLNumVL2xWDdNbzOkbBCsNQgL3hWvV6+zjOrzM3C7\/AJ\/he13GAlBo4x1srM\/VGtkaQwJ\/eTaRgZAsq2Dg5UlCVbSusFHqcPo1BXkTSlXUONeZbfTZ8ED3KoXa1JFVWfXd85jm8rC2OZB+4bTrQCuVitJGROpLOYz25WOWWk6VoFFtUSi0n6rOlZJEsed6RS5VNZxCzaDCSIDpg8IdNyzcpromXZuUF1tQzHL3+nZorbq1Jx8FVab2F3KgZTFyCgldxzSMzysXBWj0qEbyiCSopQUOxEPQJC8EOcpoqwz0RbNOn4J8nKV6R2zS9J2xOsTaLlN2jYabC6rarZXaNYUlESAV9Cso9yUhAIB\/QAB4cQ6THU3tcfSkvMStPnOxPYexUWeeWGadWOxFs1Fn9SkqdaGVjnH7hzJNpFi6bSCjhX5kioKHAfzMa9PYRj0lDVzSqAzgo95mdNcNIlu5s2+Mlyw6biHWJFlVaxqKZgbAiXhEoAH2Q4Bnl1BhKssdhERchNpEXk7bPMK+i7bQDWz3WaWkrdaE4Fo\/WQY\/eD1z8m3UFJH0J\/Y8XdQgmFRLpNbFRDyOT\/8AXomImcogPBFStjgPwNwbyEB4EO\/LRgGgoR8PqtcsZYH+em6KV2VkrplGV3K0K2irq6StX7G1nJ6XdmVavWizRRuqLcUhbgVMOrrJ1juTrNJfrL2bmJhubNaMHz0zDa11PaR7t56YADHdxpZByUhhEDlFQeR9XgkfleewFSAGMdGOJNs2F\/Y5GOiBWNEsZm1yxn9mm2sWK5\/liO3a4NwMIJ+kBHnrB9gTf85W\/Upz6fl\/\/r\/\/AC1UynKby5UUFf0AA8\/4h4DnxOelLUiM7bPzlktEIn2A3slWsUtZ37mUsCk3UCaUFWlWUw4cnTcNF2ajNVsINzJCgAJhrzuPxjJ2zlrnFwUQcEzil+4kJIF8ACAjCekfSTkPMB5D4+IuQzfO6lTZKWquPDKylfg49lMyaTyZq0kq2kppNAZd8y+acmFNFVcyKKfpTTKVMpSgdM\/qADGWIPHkPpE5g58wEB5D9g+LVKqNdLbGvM9KWa5Q8ZvW7Q9Qs8vOAROZUnKJE6OypMiylWyZW67NWPMyUalK3FL2SlTAxP5HZDwbjk38sqN6\/IOA+19wchx4kHmX5bRKNIyqkorKStbq8LEzEj98y689IoPpdmySknbNeYcGXBA6pkUzekCFKQhCluchExC9glENn64KsYVosg3UkXT2pN4pqgo7cnKixbpuRIo4X4UFFsBzgmob0kErgZ3GIYVVAMWNGo3axqMDGEDmZGli3qtBKmblESe\/8kzBUS+v2kwH0FnGVmmYyVmbFcbPbXruAi3ULGoLWKTNIfJs2shKTbkStvhydYwjzxx5ci0j06raZWvsVjuEKXada16452ZRWQVlTA6za1XuYoL5IJJc65U1o1QhFDclAOA43inh18xZ7DyNZxvWGhn+bUp2pCSlyiLvk0xW4BkaulawFWLF4NHyBEGwlKpKysiuYoGVEx96q2c0qrUKtRMhmLJhBU6Aiq5EooM6k5bN0\/kIlo1bKHQbgBAMYon445HngfG9Jib49jNJKb0gJDF5bQBw5A3PJjAfn6hD6OPDxdxRVHrWQmZafkK\/I2q4yVLfyc7OO7LMKPqG+sDilPG8lPvlnayCsedBRwqZQxBMYRGRcVXIMqrvt9f9WsKgxWeUiLIMpDdj+jUc1kVFUoZsQrxpDyztBNQxyelJdQPWUDCYDwWV691AziLOqB3UVSdDxarNXDhH1gQ75rBS7JFy5SBQwes4GUDkfPz8dN4XN9kybQZpl3bxeUcw1K0en2iVQjiQ99ZqP1Y+DmXzpNoko8KUygk9AGMUOeRABuudTxpdjB5+jV0LrsDckVMZJT7RaTvVUqRerRXZqUkM1skTFtUXz49iZRUa1aSDEyjsovWxVZpE2dai6WvmL2LJ31bDcM8k5cN90jD8HhNP7NS79\/uTuELnVt2LNpOUWdIvnlpEXguSwRTPFQS7KQUpTXdNZW\/tdr9rz1s5t425ORxx26iyZi7Zqns1lcQ7NCGIo3IydC0eo+0PvIByQ5\/0ROeaa\/t0bBw1kWtLRxTJdlCygyDmm3CiOEVnT6JmElGK9fvD4hkwSARUEg+rgolNqLHNizabTXdjuO6WtGakEZAC3y+MYFnZlosyLJkZtGv1a+m5FJQVjg5WWN7npMBSiUfgIcD8B5D6QEBAQEB8Q2s0y0T+RbdWIl3BxemUttFOVrDW3P8AH\/Auo1WYZu6\/qNDLIkI4QaP0ySMUsKqsPIRblws4O4YOKf1i1c6Yio0thND1br0V4U6iQfKOM8Pl\/Zs8cLVITf8AMlszn5gwB\/ARAeQ8uv8A1dEPrHt\/rAD+7\/I6P9\/gwqYF1iAQKbyT7c6soAjwPpD\/ANkhDj6h+PACIfRz4762resA2iIR1vQabO1ibybNNL3ShyiScpr08za12y0yiJzE62dtrUmUzs0U0Sj1yinJljzKNfmtEosX137MLSuROK201BSJrOX3g1HeW6LfTdfjJyFzLXbxbU7G8h2ZXa0MnGqTDFs5aqu2qBHbcVJ+\/Y5gujJVJ91RstSPP7ND2DDIR84VkH6DBGHdWWty71xaZp07BJnBybWDcplbqOpBVgzFqu77+26AbyrJB3eM\/jpWBsEerCWqr2KHw3I4+fqtrhFznXiLHXpJE6DhEROmYSlURUWQUSWU6smUIYhy9au25VPUAgJRNtfVUxSjz8BPxzx8eA\/R1q8h4B5UhE3qSAAEv5hX5ZxylH3FUx5N6eA4Aw\/t9IGLz5ekeeP6gEP3efjZCj8BzO6c\/qD8PvuR\/Z4giiIcEqWMhwIeoOUXdOKQBD\/xAHn9Xx8F5Djkyn1+XpMPH7B\/SIfX5fv8vFplSxctMCz2LrYqpFwiCLuUdIhV3XuqM2ijpsLlRNMgn9soiqcERBMhzcALqBjmNyipJkxayyjC30K50dwdg4cHbA5afi2ChvvAqbkvoVBL1imYSgbgTB4458vVyAD\/AMQ8\/v8ABg54HgRDy5+H6uQEfG86JGHc\/h9ghnuEsFVGahGE9KZMN7t9rslflAUO3lohrYNpVra4pl\/5eZrEgkYfUX0l7FCBRAVJfOhOIjz5hXXoAHHwAfSmA\/t8bwIefPY3SBEfjzw0r4B+4o8fs\/R17r9gioqegp9vHQ03BzjFvKxUxESne\/8ALfYyMbIxrwizF9Hu27gSLIrJnSVIPpMUxREBImCqqgED0gZUSnOYPo9Z\/SBjCAeXI+Y8efI+fiI\/FFeg7EFenY2014JyIjpf7htEOK33TZYUX7dwaLno0HKgIO0BTXSA5vQYvI8joVRtU\/lehOYx3AWiyU2NqT1tolYfJINzQOj1a2V+wVe4BEA2TViHq7UslEKFUSbOCMXkiyex7DRohTsL1jo8SDNnolObIQWqZPSq3FIox6N+q8pIJQllqVbjUkyGlxkyLtY9ou7k3R1vQVaNvdYY2SDI64by9TusG6rF3p8yVs1eOK7b629EziHmWzR8gsBQMqg5bLouWyq7VdBdT+g7kpJ21j46PauHr9++cJNGTJk0SOu6du3S500GzVsgmY6ihzFIQhRERAA8SFvdabnrapRTeLdyVocXSto12PaTcs4gYV0+m1JIsa0bS841UZNTqKlK4dpmRTEyhRKBF2+n50ugqRwomshd62qkomzcMWjs6ahJISHI1dSjVJQQHgijlIo8CoQBc2tjp2evKszr6lseWVpdK24gGlVReP49WzOZhKSPHIV9J\/FOkDPTKA2Ks2VIJ\/UmcAjbRT7HB2ytTKJnMRYa1LR07BSrcqqiJl42Wi13TB8iVZE5BMkoYoGKIc8gPhkzrDZhL6foUw2z7Ia1IFeKNZzQZxu6WZOpZGNOWV\/BlMiGLywWRdqBnDOvRT1dIDKpppnd1irINV5e0Wmf0XS7alFsId\/o+p3Fwk\/uugTMfFESjGD+xSCYCVo2IRqwapotG5Sot0wAQ+v+\/wCgfIQHkB8TU7YszoSt3m0W5FdICjU91oDRyzZosI+RZ2iUg5CRB\/FsmySTU6hlCopJETAvth6PDBXKY+JyjXa585I1rcqjSqYwvyk++cqPJRS8fc0NBMdDqlqVMCU5BPilYSCIFOn8s9bsXrOYze9QjKgbVS2rZzbaAnLISbKQh3JyNWeiZ3JHK0eWvLbC+9ZGcgdq0dtnBVGci1ZvkVUA62Dz5BIU0OfUIh\/9w78s\/wBQenzD1ch5D8Q8\/r8fRz5fEePj4t+WYAnWWGbVKCur\/uB2Pk5ytHjsOqNYpEtcHObVmCnjGjZ\/U9EaskY144UMqlSY6URk3TZY6jdMKhYoE9YyrpzU87yV23Vka4EjtvYm6GeRrABjUZ8p4fMsIiUflnjV+oxJabCumBm5I6P9pw\/KH1j8ef8Ai5EeP6uf0\/u\/vDxqV4eObW0aVG\/deLK4d0WGjLFcGzKIq1lcyA12DnmkjAvJAzJBQAO8TK1QKcVlTFIkYwONQntKuNrTNUvdCZ0FxRWTCDrQiSyO3PvVqq1ZqyblApVHB11DJplR+JSF58DeZmf1DOsDRXMjmVRqFks2S2vW2xG6vp161XGnS1e1CCpkoLv01yBbu4cXDVEJKUK6B6zaRyyEVrvaGDhX\/pCZg0ey2vz5JUpA4KVKy3a0Wq+1fy+JoKXijD8RER8\/ETTKVBx9bq9fZizh4WLQBBmzQ9SiyogHJ1V3Tx0qddwuqY67lyqosqc6hzGHsUT1lMB5rOlQKHPqT9dS5EDfR9oRH4fV43YxefPshpxDc\/QJU4Avl9YfZ\/R1hE3PBnMCmUQ4\/wDUN37\/AC1lAAQ+Pp9pE48\/QIB9f6eP9n93h1Gv26Dti+brNXjR0im5bOmrlIyLhs5brFOku3cInEihDAJTlEQEOB8SEZnFGptCjJaQGWko6l1WBqjF\/KC1bMjST1rAR8eg7fGZs0khWUKZT20yk59JSgH9DsplEAvBtJ3TcF13P4Z3ZnykZXGcrcaBP16Odz8ikyklGMM1dyBFHSoN1\/QiUw+g3HA6H12yaS67TlP2Vp0dewbu+anR8nvMhaulnaWN7I6VV4\/Lc\/6b2\/G5BlP058dBF4MC4btlyJnk4Z03WWVNtUxEyvSKFadkyYIenM6vp8tNWSKcdd42uVm0Jw7uGxGnVCeS01OPlZKxfcdcgkCyMFHInaKAB1m29YI0L1Un0+xfWDUsYlplTa9Hr6lCtM\/ZtNvdbmmzeP6ivI6\/wszZ7igk9U+SrRoZgoJU20ys1959neVSNlcYpcayyBu\/kMZl8uvzePI3mJJ2mxh5u19ZM7ockwkWbhMy5kM8gfZUMZNFMvpFdVXSrbqulbHcUKuvTK1KaQ1ytiSk1uVlGU1aY6rscszHM2CQ3OUhIlWTXeJvXCv3KyImdJNM5FP6ETMxc65omm0dd3L5ppkWxQkJKozTpoZk6byEYus1b2mjWFsYrecgnCqTaTalIYFGzxuzetcXq12rjema5mdkz2A0emR8t9+ME1ZTvv8Almytfu9OkCtEJCfzO5sQOrFyLhszVIs0esHaaD+PfIt7XQoCbl6aWrUyIuev63FQaFjf5nULVIyUFUapm1bXbSRtC7IbBOxCsVUIBBlJJNVjlkHrZyqaHhbBcJbQq3+CM7o2WWqVybrFHSIzzCvy7aIlJ9po29zbcjj+bu8OJl196Lt1l5OEhLD6n6C0zMIoWE0OmKDpVc9HyZVQgorC6FQHdUUMBkjfxQMQ6fBgNwJQHz8+fCfIcG9JDCH7uePj8AH9PH9X94eOwJSeopPmshADmT9wpjLZZqQjwib0FXTA7MhTFAwCPIhyHinqWi0bnfYU9erjolK0Pftft9CXSMzYvTRlgpkxb1oK9QyipfSozsSUu3UTH0HKJQKBeAER4Ew\/a4+AiI8eQfAOf6x48+R8fR+8f\/w+DiBORAvkHIhz+3jy8dgzKtXCZFZbO\/QsYnCKvprChDCgf4qFTD0iYf8AxeNs+YbqtzqdjtQN6VSenlP2oA5DpiAm9RTAf4jx8BDjx8P+v7ePHWhMfVwKMUt9Al9SX5gH5Znp+IcgP2h+H1j9f+i7GY\/VlYtGzarhWt5vXVZxdVrCJzl4oM\/WYk8y5QZyCzaKB\/Jp\/MqEbrnIj6hKmcQAo22aetcV0hne9Y\/GzTY73aFojRqJDVbYLhrYtyxGaY9QiFW3yDnWlTsSVZeV0sdHNTLgC5TFQLiOwXWu9dWdMoNKvVGND55b4Z3YKsxnHz13Fv11rB1PMvb5cjBUI9d\/CS1HmHKJUDyUhKHM\/wDnf0\/4fL6+f9nj6P3\/AOz9Hn\/3\/oyLMYNhI3rsTPs2rRrl8HT8yvkbO5Q30\/ONUcOdZr9+hQUkKi1vGJsXMPHlsVTZv3jR4d7IIRbeTctWll1DDsKvd7cN1gcRiud1SyU6Ccrgmg7dLOpysMnelXpZs1QaubRMM0Vkm7crKCYV2DBOFSOQ\/T7q2YqhDpnKbr9kxgMmoUSKEMA1L7RFEzCUQ+AgPHgG6\/UDqys3AiSQIK9e8nUR9pEqJEkvbNVBJ7aZUCgUoAAF9JeA4DzETdQerZuTGN\/7fcmARE3mIm4qX2jCYRER+kR8dbMxR\/L26t3hHdn9iWmpltkVNjJekVOp6Z19z20WiJrlewS9IWlKqRu8DY5YJCRrjJlA158r84dYUkDK7VTej2AUysu7xdarCxljwvIvv59FViVMyjZ6VYtKeROFdT7AyTsWIqOBalVAgrKf4vDGUr\/WDrtEvy7P1nj\/AJmOxPM2S4sJvspksNNMhVQrBDC1lYd8u2cJjymsgqYhymIYxR0R7XbDacXjp\/sB2ViZKrY7XMYrtaVeZn2p7D02tWQjSbyayviThKQ8LDGH5kWxI1q2TSRTO3TUDIqwfrrhbuCQq35lUeq0fZDn7lJ4Wg9zsRrVQUfJnr\/y7leFgX7lu2MZMfYSXUIl7ZDmKPI9Vut4h9Q4bmAgP\/8AV\/HqN1P60iPHHI4Rlwj+8atz4ET9SushzCHHqPgmVn8vqHmq8iH7fHl1J6wekQ+0BsAywwiPkADz+GA44APq8\/G9TUT1V62x8pEYzp8nGyDDCcubP2EgxpU26aPWDpKrgs0dtV0inSUIIGTOUDB5h47espHq51zkWtf7FViLh2jrDsyXbxMct1N6vzRo6PQVrChGjRWXmnLsSE9JfmHKqgh6jnE2YKVXBXfUrU3F\/j2GfNMGzqlWOt7VCVazYzuD+rX675VlE9G1hvSrfS6c7tMdIrQb2AWMiiMiCLiQKXj6AEQAADjgAHgA48vgH+j548w\/T2G03Ooted0ei4tpVmzeBasSSjqe0WKqEs5oUE1jVP4T9zNW0jNqmicQIodUCmEAER8LQ7PRdEZ3TMMMvspd3psVw+Pdz+iYHWvzGQskjLsWuLa3TX1hvcj1vqEkvXK69jGUsZdJtDyUS0kSvizdn0fS7BPVnY9V\/M2zHrrWHlUpVojRtmSbrbc26g0tnAZ\/1izi31VOcShGTdseZs91\/EKBxfLyDdMTkLluk12a1rd6I8mpSUuM25x3P0paVrGMYN0U7P7tCxqNNyKsNm0\/Iy47xmEOiZAixJts0Zk9TxkZ4GTyGh1q5bXtTDMM3T0pjUxy2v2a0aE4rkKneJVqjZLBlGbMACfVdOVUknLBAiYCVukI+hMX0JmHUTQqne5YicfX7Xu1y6\/J5PVnbtQETWO5tsd7AaJo8zFwiQmcfdsVHkcySpCNgdMSqmet7BLknbDqGwaLLGs2x7xpC6czp+nWZRu1bJi9kSe2zq9IgGDJBnA1eJRawcEwQTSbIAcVllv08\/H9vH9vjPLDdaq5mLbKVHYc5rU03Ik6bxtNl69CahpkHKsXUqyarsLOljcTwJWztcF2SRAMgiosY9NZYlUls3yuVr7XSGMDOWOenncQhbIllYnS0zO2mwWaRMs3bKFBYTPlkEgTEEze2AeKTO6bK7Azy6fsPX3Ta9jeX0mjR0ZTqDbdoh4jr3fuzWkWx45tTmU0PRo2PmUa5TXsVKw8U0WaScc\/TbvHS1qN6jHAvZLuYcROI8hz3A3MxgEfQXgifPAeXAFD6fiORk4Dklf\/ADWkigAhyYEu92DImP6R44ABREfp\/o9kB4KP\/wDhGthwYRKHnQp8PiUpx58\/IOPMfLx3NMJBJ6+ytVL9kQMb\/wBnvVLkxvTz6eOBDz48g\/q56748nlt4btOs3YyYyjGGv8zbsjXqreq\/iEZ2ba2yWYF0H372ySioxFuxCbTk3LZwZYhUiMl1xP8A2\/6btFNUi6uc2ukV142eQqGis4yRmXVBtLTObGvXro3iYiv2yUkFatLkRfAk3i5JU\/scFarjwkbNrtSO63eF4tc8KcMArn81MFna4raIvvvlnV5OahdXrHXicaWIy+ZXKSkGV2IyM3miotZ40Si3MvEljq7a732KKSr5PU+s8xaZmDqUgi97b0Lt5SLnc3UlaqfCV9jN2dPqxYRh30uEDFRU8k2UcARFZY6BNMYUvZt50CwQuXaze9If6XYY2qs6Npc91kY3S9VOhyFax+wyLeVwnXYqRjYGjPGcWq1dxwpqyREnfqLn9Vt\/ebunJUNz3w2ivxzTSNqia5F22Dzd71RkszzUVqx1Y0Fvb6xdVtWsLRxXvTWEZhq39sbBEC0XUX6ZtN72jeKXNRVgk67YVU71N53B7taK31N\/LXmc9XlYtPGNeb3lvqb7QrhYVq6u4qTRzOyEsmedZfJigtokN2DtWhW+5V\/TqCpFv9Kt8poU60r1+6idXNhXaNrvL0+kPpuKPbtKmHIIHYAMG6cKwwLvCx4PF\/6GAaXFVZjcHB9K0iqDDyE0vBJAnPdbtmWO6B8hEzRwBD7r49II8j6+QEOPEiJw9tVXo48UMUhzKlKc2BHMYCKGImdUAMb\/ABekoiIfDx2YESquDo9i+hCCKqqgh6WaDXqI6TYpgY5SJMUnTpZcA5L\/ABXSo+Yj52pMwej3Oxfb0CEOB+S+jtlsxfXwYCG+2p9sP\/N8eOPFtxR7V46OY5BW\/wAxB3HWNCYfv384a5dzsPm3SLxg6YJIME487khEwTcKAUgF+yHI\/wBHs64KUpxQ6\/bEsBTmAhf4efWA4iY4kU9JSgHIiACYOPLz48dmNWs0REQs5OdnvbcMIdddVmVKK61daoZioQzkAWFRVjGInMIgAD6g8g8QyQfw\/d\/MXuxhAR590x\/yxHinl9XwER+oA\/X\/AKjwPHA\/EPo8\/j4\/q8g8fR9fjny8cAAB\/V5f0BHxV52pRr+e\/kpo\/wDM22V2HbOXs3L0Fzneh53a1YVi0TVcvX9dZ3sssoimRZZZowWSSSVUUIkc+IP8rth9OUwWSxUmhMZagjhBm41F7RWOkJWL8chdFYr7qSTerxxYUjoJD3Giahm4FkR7Dy10sVxJtvYORkdNxH8Zt1K7cKs9zel57X8H+\/mck2i0IEJm5ZY2nEkF0m3y8ZJoJuU0liLJkvmObjke13nQqne9MsTZSLUpKduYTtuscneLXTtYbX2402RgLRHXqwvhbu26b5k4iFWp0x9ZSFcXL8w3FK7VLDFx10uKdxprpvJK1rdc93bTyXnsPWcbmGsZJWR\/YcO\/BkI9gnzZuUs9KtVYkElTmcIpQNvqkxHWKrWmIjrDWrBDvG0hETsBMtEZCHmYp+zUVavY2UjnCa6CqZhIomoBg+P9CA6i4ZNxlcsG8As0269nkWpJrIespVRjdCt8BHPoSbiXVwuazklcg0X\/AMuRY7p46QFQ0at7e64Hu+K3qfsUpcmF3ma9m6tMSslZ0SPpVdz6edNm+mWrOWM5jd3r2fxMhXZhquoqoczj1JqJro+zfe0U86scXh0DdLnfIeCazS8jnxdbsNBhsYp9arr\/AOXTjLfM0nGUJALNIM\/4DaVfNkkjcHXRQ\/1TNKvolfv0inpDWVlTWSpxddkYCjV+I0rFMkdWO6FlLTCz4xn467A1psBIZhMPCIuF3KiBGzZZUr260nBuxluqLaYxCoNJ+PZ4VEtpfRewddxm3Z1nTBnbd4rkuhPOavukK9dP3rZpXW6ZHKf3mZdNNJa06Pc8J7GxtUqN\/wBuz2Udot8AkHRnvWyqa1ct4nm0ew7AuHg13N4bFJ33TqlSeS66aCcQ2kTOE+QbX3Md2hY+Rt\/aWm1CfRjshmoy8Pen0jeIbYZOGawWySdgg4dOczyTYxR7AxhV5N0mRNNIPcII38lwwTs5UXlEY76ZGLeQGMWeUvFh65aXjORXmkUljnW43VZ5a5a\/b5W2UIm\/COZyYulDFcEBIeewfYiuRl7XzzrjWjWy6i4hYVvOTcOHWTM+2KSlOYHsgtJBZzl2sxKaZXq7Av3p7yJjFSTKud1qVq6JWKD06Bl519cb\/J4L1ZkdCpegwUtsDhhESVog9UmrLYbZY5LCJl0ykq6tMxzUwILyL9jysZCVLYsR3WDWrvVm49vLei3f9arilVMtq8hs8a1Ql5PNex12hl39mNhkh7MixcPKvErycUxnJaJknoM0yWbdOmdotdyjIhN8kfScX65XiyNoprg\/cHslHhF2N\/pE\/AykI8oHS+zmi37CScRMmrNwbhg4cR0grINYPBqhj2q0qwIRlxPNGtcr1ri69RnNBv8Ar+XO6uDOt7\/YbBfHRrJh8uQqtEjbVFxrczY0i6YidQiLbPRTZtcZ3SzT0vnTj73eiejbbLMZe43LNixki6cN2tT0drDSlmhAamTTZzP3qzFME3UYkUDlHkpvMo\/WH\/x\/Ra73c5dvAVGl1yatdonHfvC2h6\/Xo5xLTMkuVqku7MkxjmqihipJnUMBeClMYQKNi13QUHzDTtrUh7NPVx6s6L\/LarR0eZLP8iZtXLl6i0UosU9WPLnSEEX9okZZ8kVFB0k3Rye\/6D1J0bQcxvt3stbol+1DLuvc7ToqNr+VLbTY9DRe27UXLltUmmYV2ZeSYR6Lmah5KsyUHKx7KwNSxJ8kYVPBN9rNJ0WuZPLUqckavj1ar8FBantFd621BCVq5NeLdIIsfqtibRK7dCFUBJIoroAq2EhzJafTqFqlHqskMK+qrnUKzG1814qVoqsBdanfae4hbBZYuWqtjrtlbKp+pylIMnBVmb9q0et126f+p5ha7xdtDrjTN4qfrr2r0t1TmcPoVYsmoYJr0jXLc8sNKs1ijmA2\/rpXx96Cew78WhnSPzIAuBiSVPl68e\/ffNs6\/wBgmbLe6vk9gtM3AddIDFIGpZhOS7jM\/cl8rsBsKin0xCuAUSWfunarY7UVEhR0iqy0xaE69oWmbXrbWMjqX16iTUa67Vne5Z6tKVidh8NjrhIuczR3V5IU5zNycs+rb2IjAaLkbIKN1uwGx6\/pe3taQ0mexO8XNCgwHXOCtsnN7hpiGw22DjpGEwmvz2gSby7t2zKuo2STk3hCqJshee0fksnsadZ72z1LYMB7DTtvrLfIqDS42w979b6G9so\/FZrRpmyUGZye2kPR6A6Reu5eAYx8RJy5Asisk3KeP37Mq7ZO\/sp1127q5a6zamM9XOpbqrwk5nfSqt0o1Qo96h2LC3H21j1NwNm7ZysxMS+WrtkwfKyfKwKBS8JrGF9m8HuLPrHSZGAnKtnnXGj13M6CM1tKsogzmKcOgCwX2xpo88znp2FaPKFaEF2yDWUO9WIVXJbPWLH+YNOjUetOsQtejKvSOj2TStGySbaduGmw7C7jqNV8lqVdVzqGJKOJmNrgJMrW6janILQdmlmwuSlrk1kX5icdAVfWNB6f2COQl\/y8xpznTLpg\/bCYJobKCpeg\/ebWuUjrv3v0JxHwtTZIwVSgosiUnW2QV0yJOvz7FWe4V+xbj1yU7HVOoTLTojDZRScq3F9uWkxFLja3PN2PaWuu46zWCwLrx+Ug8jGqyjb8QOlY0SeJqi2gZFm2kCoPImwwLlOPtVNs0UuSQrV2p0udu6+5rdU5lui9j3XtqFTcIl9ZFExOmaWpmkMmkVseZyTeq6UxjvQlDSztZkm+gNHqSC7hR5+ANMjPU+ixMKpmbhN5FLqHfRrwCiP1fV4iMUat03OZZsat6TuLtQrV02mbQzlQm8gyEPl5Arti7CZhELhOkUJ\/+0sYloukqynz+DlEA4EDCAAURAOfPzAPMw+rz8vP9vn4jMVDQO7UxKbvq18uwzD8OsjOfYrbn1poXUZW2Oy1KeRaz9otVS7rRVglUYltMaZI3EslLTkemog4TNg4Z0j3ElozadStqOSxb+0YBo7qoROM9uOv\/cCbczTdtpt02J\/X22sX2MTeNXQzVyja4tLSMqxYR7I0wlllVo8h3Fs2f35TJ4LGGe6pZDMmqVAeaV1g6bZjXaU7zGxN6InTGdk2Wuqv1WSr54D1GfGROE20dx4Y+jn1I1kHGz3BCpV5GfluvESnFpuaZhV\/Sm5N\/wDz\/cRUwctX7E15VevwC81dGa5HzZzCouWLhEoGABAB+HIlHn9YCUxgEP1\/T9Hl\/qsplelxykzR52WpsrPQpFwbozSdKu9bvjGGkvUiuVxBy0pV0G8gh6QFwxUWSAxBU9ZUpStyOuRFbRXqr5LMGukvf5YBL0O5UezUaYVqp4wQduahX82g6rGoLLnYM6zHJN024OhM9M6marYdkqJ1Ebe\/iWNY0U0FHVTQLjH2atr63VUIyEauIvQIKiWxzARoCseERikUE1I5ZUgrDm2rUl3pkjZspqlrrlOYWi+LyFSjJC8i\/St9saVOOiomGiZqwx8mo2ctI1JhAnImisEcDpBFwm4PBq6vAO5Cu1KlTcjF6AX5+eoNYyFxhT6gSS8jAyQlq14zFRFhNEb+y5VOzbrtVWiyXrGGm0do7QOCwOi7FpkdDSGutX8J987\/AGBS0bFFOWrunLOVYG\/TDx588QFiuhbyL1Eq5U3joq1AvFT1\/shPPM8oMblkbD3XW3E\/XpzO64nayUeo2uMJCMQnIbOVLnIKwaInTK0UW5MCglL448QHYbL4FxOaPmketG2Gnw4lbSOwZG6XO5sueh\/EQbv7PAHWUm6j8yIlRm0VGRVWraXkFhZ6xSEltFJco+BRyiBhgct32i2i7HbMaNXmhVmZn0OnKyD1M0i7dNiowUem6fPvYas3CibOIknqE9dZuQkLlp1uTIkCly02zKlf3OxCYrVl7ceaTEWsa29BSR0Q1aMkipoNkkyCAAYPMOBEPTwYDAIByPPn5c8ByPHjC6gSNtEUz675q\/y\/OZGGkoFlMFaSd\/646M7t0s9TrSibvQzWnrBWB+9Ukm6xUDPU+PS54Tx6mOdC22YpeIaCholNqD6yUlCKTkYufzm01SPXXg85h5tqnS7BnDZWOl2LtnZitpCUYrya8fIuWh6M8b3ja5aVqOkx+nz81L2emOJfVLND6Ng2qQBdOfM87jzSqMVonWmqS6jiPCLlJV40dqyjp+eUkDOssnsrtmz0t3kzOkQkYWNuECo2skHTctwfIRh7ai\/p7\/51C11PrfVAmlWp2T185Yqqgsn7py+OPh5\/D6uftBz5AHmA8+Qf6MRH4B458\/3D\/b9Xj2\/Scfs+v1gX7AB9Qjzz6v1ceOBAxfiPJg4Dy4+n9vjy\/wCv+zwI\/V9Xj4+fn5ceY8fEA+jnx5FMHkA\/aDjjnj4\/EPp\/s\/Rz4HyN5DxyIeQ\/rD6w\/Rx9Pjj6\/h4EeBHj6ChyP7A8D9kwcCIfaLxzxx5h9YDz+k5BDkDFMUQEPIQEOBDjnngQ8R2g43slHp1KgJ263ur5BpuQXHUavTtY0dg5hb\/faivV97x0kajLwjx8DSMVaukI17ZbE4TVOEomky7mV49phdD2Sc63b3H5MXBM1u+UWAbW\/wAjsTGmxNfYO9h1iwuLmtbVEzMXjF+yUIsZEqaQKE907Q8TRdu1KLou44rqFtfu71pMbA3qo9QrFP8AXiGa1NquhPN5l9ueWtoi4zEEUGSFgkxUkV3HqKoY9kr9xp\/YqfioaiRRcblIKa0N\/bHO82HFe7ei41dp8K5MtZKuMML7Na3D1oy7svyrSGhaw7lx9LY65ewKUpTd+mMSd37shc6QvXFNIuTx5V9w7n053cKseoQt3q0xY4Nhl+KMJCtwLB9GHbxEy5TartCPVFPFjs1awrsOTOpWS6LKP4qIoG8z89JVNhjW6OdianxBx2KiLKRdC+oVZOVYI2oykMqqgQ7hyZNwDjeJlpmXYm0xmlditQ2+rRVJHUkaytZqv2U\/MYPm0fp1dDRHdinktJps3njCOnqu6pylPjpSAnVEFUoFQzpsssiZuodMplW51CrHQUMUBUQMqTkipkFBEgmARA3HICPP+jN6\/wDD5c\/vDx1vrrPK09HYbHY7A7v8ypcHNZDKcjo9izCBvellYN6zPEsgwamosh+VOvHlERABVH1fZ7KVXfrNnuW5xhdiwWpRV7LZrJYJeYsW3UOSuzeOuNYbUhu1pqSCcWcWLhGRkmzhqAquDtTB7Q2DL8vyWEv2Yxu7dRsYiNEkbtdKvM2Rfs5+E1X1qb1CRykqEfFUpG0Akk1cSZHskugVQiJW6nvBqUc43hmkfF4ex2HQHhqTpRoVlBU67w+cW6Ur0+WnDDXthVLxYGcbJLQS8kkwXXD3jEIBjljszgdNZSV6mdRtmKx9dbwtlF2rp1FpRtEtlYUWNDFZtzwlPJ84q6UVKxMAgmRYywgn41LHutHWOB3GudcKDkuh7Om8tFmYaPbkNXl3jZtVcYqtfrM61lJiIgmgvlXD9UqRxBQntkBL1qbT1d1Fw0z3TKn2DtuSZJFJRt1lmmhVmoZHStNeWGYtJK6NKq8+KcxLELHOJFNVVCKMZIqg8iN30NhtMgjTc+YUCZn5yWyfZYJF3WtTvI5rntxqLWZz9hIX6kWq8FNHN5mDSkYwq6anurplTOJYfOM11qYltDtrq8wlUgZfI9nqrd9ac\/r8nZ7BW5Kds+fw8BXphCEiFnSbeQdNVnKAFMgVT1pgdpsOuXNjmtypuQ5Npu3VJrTtRXZVRfV3jKvQLOlC+qIyWlNH12eBDthgAlzi+EqBxBUxANm8k\/2J6wNrVsvdBpURIZpqkbZHF8zOfqdZu9IsFakaU1nKVbYOcu8WgZhNIR7lb5oDpFUIRQxcNwTqbmWd6PrWw0nbdNdqahNz8XX4CoYo3oiLmOYMqygrJSNluErfUW7ATG+XSVbCVQhire4jjNX7LnteD7vo9UzqctmUy2f6PY0spldIswUGtstKusBTXtSzmKsV5SUZxbyxu4gjshiKCCYCJS7DSqRdrHbdZy2sdgH34SLke0M4iZtvXNjJq6JTI25K57+F5aYhHUeAqpMHTtQ7RVNygVZFRIyhNA7TvsnzOmtusGV7tOQ9Cq\/ZGb0GImdZ2KwZnUIZvCzuWNYy2w04JItowNDOH799JqLOEElYdRo\/VhZeE0exmQn1dvbMWknkewQMqk8641ePuOzMJOInaJHSMQ\/pkFKoGOg6TSVduDGbNSrOU1EihHr7K6ZK\/wAmY\/sEus\/znTmLJnkElm7nWm9xePXNPSbN25aQ3Kuo2E3zqbldBoKIOlk0TZ1I45X9NvTq09ic0xO6wNjxTe6JaKLCX+ttbk3tpq3K5OvOunE3U5di+rrdVsglYkllAZLKHQWKnVb72Su0P+J7XYN3WZs+v+V9ir\/BxWd4hd1qpabnYmcvmEfcK1D09udqWbkpBk3jBcisoyVcNU\/dCBwCOvFwlL7YrjTqCzdR+SampREbTomfs9OocU60w9SRoZHNvp79NyxInIKKHAFPUUoIrGTAxSF4MA8eX0D5jz+vk39o+B5TL5iAj5fEQKBQ\/cAeAECj9kREOTGHgRHkTeYj9ofr+PHl8PH+Av7g8v1B9Qfq\/X44EoCAccByIAHBvWAgACAAIHDkB+gQ58cFACh9QBwH9n+jHxr87Ez8jS89rPRy15RkSEbJ5+7S0\/Wr5ZndvstKtMXZo2wPq9RJR7Takk7kUQiH\/usuW7tMifrEL1pmfwajyd7F\/lN6Za2ju+U+RTWher9OVg+wroQRm1kXabd5\/wCkgYnvSgHEUiKeYh2I0ar1mvHqOgfmAflzb5UXp7NWWay+adds4q1a0mQcsXMi3cM1oeUizEbsTlI5dlKB25D8gIzWMaxnNea5vnHXn8y\/IapeiaHXZJLZZfubt1c1DPHCVcYLLTdObVuPhQF6rJCioR76BJ6igA+KHvXYdlErR459rmo3FZnaoKVGO7Q6pYU6Y\/i2zKOlHijuOJkLNA5H6KQIAYoJGP7hePHYjTensZSCtO0WRYVQ4nW5u1VKOX6+27MJ2QbSs9NUq3wdnJfIR\/WZJwYpGjJwv63PpKmQ6JTqK6a1ja6WDL+ZRqXZVjJP7DDuCpZbbuhjHCoiafxSXCizpxqiR0DxaaYLkaG90S+2Pr8asa+VBg50jQsV6w02x2Cw7xDXte46bjvc6qbNcZ+KK9TZx+d0Z3nDH2ImuR6acayQiygQCu3ShTNL+8gIBOtt\/wAy7st2VM7La4Mzg2Q6h1UmcqqsoDRNUVzP17lIFQMyEAdIJGFQ5faDw8z+7UDPqZbst6c9OuvWex8Xr6Egpqs9163qr7LNyC1khI+HdZwDmJr5mCRwVVOhJrAui4MQorD1S16Yyyj55WaFtHdjTLtVU9m0LYbfARW4VPMa3nb636Brd10Kf0PUJZ1RBXmXkY7bRaZfQdNFNcVPc66dmeq9Tpd7suV5p2Iymw1S23KOpRyJ7CwoDuoXONlJiHmo5dvS7NSfedtBICzoiqZCgJBUEjklutlD2iwdjcr6e1fsJtMnPQVNks5vPXXdIfUrPJxlNiafFR9vgJevx6bBgWMQjjKrJqKrt0TCmY9rfliagLWZ2380a8M11bg3cLp1ztjTFIvIxKVVl6irO5Zc5HqI8GjyDyYTl+Iy7qvwMq8p3Sf8u3G4yt1pe3Xubndb63brWrZba83gs\/o9vsSsK5h0zpElyMV2rUynzS\/sM0F3BP5sVfF69WL+\/wCyH5jRLTnGn2O4Zgwjqv2rz2DqELcKlMW3L0J6x16AdxvksaHYryfoKKQIpnWMl2ICDsVCp+nXb8v3rZgOSXGMsSr9at7dlOOylKscm5XGugaPiUbB8oZo+IkuBylKqKH2Pb8Sc6SkZlH3Fbsp0431CtTfYW46HI2I+NU+UrWpu7zq9joKs4+udmmHp5Y4gg8aCo7VRQWEEynUjI6pMcctNmuOK95us1+iJXTJSCjKzTO0mly1ypmixsz\/AC6klZ55VmUqqD+OBuioJk26SJhKBjpR1vCUzh9CQnbHpJsrV6Fil2797SuvfV6TxfQTBFjVlEGk09szhJWNYiqdFRoHuGcIKABfBANwAlLwIB8ORAOfr58+fq\/1EePR6uA9Xw59Pnxz9PHgf8HPIc\/4eefPjn9fx8D6vY9r1J8+r2\/b9XJPa55+z6ufT6f2ceB59vnkPVz6f8XBeOf18cf2ePP0\/EPq\/wAX0ft48efHxDjnj4\/R8fp58efo4+z8fT9Yej+3jj9fj7Pter1D8PRz6uA5+Hn6uOPH0cfs44+j9XgOfR7n0c+n1\/R8P97x58ft4+sP+3x9r0\/D\/e4\/w8hz8fo548D6fTzz58cfHj6ePp4\/QX5r5b\/EPo9\/2v8AF6Q59Puf73p+PH0eC\/LfK+nk3o9j2uPVyPr9Pt+XPPPPH0\/6b\/\/Z\" width=\"293\" height=\"222\" \/><p class=\"wp-caption-text\">Figure 2a. AMCA Fan Testing Chamber<\/p><\/div>\n<p>The AMCA fan testing chamber, shown in Figure 2a, consists of a supply fan, a variable blast gate, two test chambers, flow nozzles and an opening to place the test fan. A commercialized testing module from Advanced Thermal Solutions, Inc. is shown in 2b.<\/p>\n<p>During a typical fan test, a dozen or more operating points are plotted for pressure and flow rate, and from this data a fan curve is constructed. To obtain the highest pressure rating of the fan, the blast gate shown in Figure 2a, is closed to ensure zero flow while the fan is running. The chamber pressure is then read from the static pressure manometer to obtain the maximum pressure rating of the fan. The blast gate is then slightly opened in successive steps to obtain additional operating points. Finally, the maximum flow capability of the fan is found by opening the blast gate completely and running the supply fan. The supply fan ensures the secondary chamber is operating at atmospheric pressure, which removes the flow losses in the system.<\/p>\n<div style=\"width: 213px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" title=\"fig2\" alt=\"\" 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nZxbOTipYsvXB6+eGV8ePzShaELQ482rt+cGb92dXxuamzt7vWV21P7K7Ori4tb24c7+8KjklxRTNWyTNezfN8LAzcMnSBwA98LYjcIvTDyotiJIy+K\/eDIC2tOGLlh5MaxG8X1equfs34\/y7I8z3Oec54zniFjwDlFRpBRikDP14cSZAQxYdBDTIB1GOshdDlrMzzJeJexDuIJgx7SHtAeYrEO2QJavE\/RovSY0mILsgo0AlJjtEbPJ48hScJOx+92nZOmnmP1F\/7D+\/4egvV6PEfC\/uN\/+inb27c9sd+vvuvdVNH3TUOybcX1xcDV3ECwfbHllb7KOsDwdpYqX\/vVLUAxCFcl+fb01MjlkZGxkZG7c5PCwS2zclPYW1hfnL4yMnLp4tDo8IWJyxcnLl2cmhieGr90dfzyrfkppXRr\/trEjemJO9fHtlau7j2c2Vm\/urX54PBQKIuypOq64diOZ3ueF4ZeELhB4AWRHxYdWOAFsRdGXjX04sgLq25Y96LQCUMnCv0oOjpu9Qu0+rzfzxlnPMs4Us5oxoEzknFABsAI5QCMIqTstQcNOUsQiolkl2GHYZdjD6FDafFiQAehxaCJtJAtjhGOgNQZbQI9BnqcpkdpWktIkCRBmkRJN0x7fq\/tdBrqm95I\/\/CPPvDs1Vc\/66LX3xHPkbDf\/cAvB2H53W\/H9\/3rL\/u\/fv4fnLRly5B8V\/U90fXltld6m\/P4bfTgxS9T7eP9bl18A1ea1S1VvFt+NP\/40eyNmdHxkYvXxkcXZye2V69NjF4cGXph+MLQ8IWLl4Yujo0MXbk8dHl0ZHJ8dH568p1vrWrl+VvXrtyeGX+0ft0Q5g+3Zx8+uF2plBVF1g1dNw3bdRzf9ULfCwMvDLwo8MPAD0MvDJwg8MLQDyM\/DNyw6kShG1a9MPaqkRsFQRTGtWae5\/1+1h\/wvM+zHDlnjGWcZYxRxgnjlHHKGAFOkBPAhBUtF0s4S4qHM\/n5RLLQKU4Qugit4uETSpsAxxxOkB4XFh1Kzr+jBmkNyRGmNZrGaRKQXthre61j\/Rve8Y8++pE\/fvr3OHsV8RwJ+9jHf79Wk\/7Ne9\/2H973rq\/68uNms+J7iu9Jrl95i7X\/dnvrc746aL9FMf2S7QuWfejbK562aAoL4uHtyuN5Vbi5uDA5emlobGx078H1mamh4aELQxcuDF98YWTowujwxfGRoYnRyZGRK0u3Z8VHt6TS7PLN6Z31a4F6Ty7NHjy6LVb2VbViWopjm45jub7r+p4beEEUulHgRaEb+H4YBVHVC0I\/isNq5IeRE8ZuFPlh5MVhUA382PXDOKgd5RnnnOc5yzLOc8z6nHOWZbzw5\/y1U7wEBsgpspRhyl+zHLJz4LoInSKNMSw2ubsA5+0XpceENgk9prROiwfAoErTEJOI9KKkG7Tb7klde+97v\/OVl1969dVnzz7Tq0Gf8XiOhL389GONluq7Wuhpjn1ou\/uOU666B99\/pn3rN1TJV1t+S7J8JXBkz63YdsV1Hh\/Fq4F9L1AXImOp6qxknZ3O8dr\/2965B0l21fddaCWEBFRQ7GAk5GDziEpggaTVTD+mu+89j9\/jnNs9M\/3u+zrn3h4JCWQBlgU42CgC44AxSoGRILiMQchxDDZUxVUyFiA7lgPlSoUEbEsRAUFwTIIMBiH02J3pXvLHnVnLQQUReNldaT51qmvmn6marm\/9zu\/8ns9+1jMuedEzn3PO0844\/UmnHTjl9AOnnHbqKacfOOUpB0592lMOHDhw+tlnnrly4bmt1WfL2jm28+zOyk+0Vs4L1y5SoiVFU0NHQ4gkgBWwImY0DIaVZc2EhsgSmS4ZS5bYRmwiYyxHVluLxnJEZJh6va15Ue7i5vPdWjDvXVG4o\/IqiswXlYwS75PKqvk8cW7mi922W5ePCj\/2brgnr5Fz\/Twf7p5smKUbebaZphtFtu73mrar+3E4CLeK9U\/+p49t7xw6kX2vR3IMFbZYHsrnoPWlgAe1rgXiYH4tvON3k1dcZzCqAzaQ6kgNoLqGulI1JRtSXZSOL+nhT81651+ZXfzGV7Xf\/47ND9zYZTrvuec89WlPPe2s008947RTnnzglNMOnHL6gSed8eQDZ5x6yllPPv1nXvDjwcqzWrXz5NpPyrULArki9ZrSbQUdhYGCEFAoEpK0ZtJMyMSWyBg0hGzIRGQiMkwmQu5yFDFFbLpkuspGbCOzvn751ryc+7Is5vOyLLOi8EXVU7TbGpl4n1Revy+y1E1zHx9t5i7crKxcsTzO8ti5sc\/HmRu4fJzn1QidocuH1QKsrFrcl24maZQmUZpGcWySmRlstq66cvbFL\/6PEzAk8T04ljZs59Arfi7VUJNyZeOl+lU39X\/\/qvAqeRFyk7CJ1EKsAzY1tgAaGhpa15ReFeqSrP+Sn7+s9svXhjff0P8Pv5Hf\/NYoH\/3Ui5779HN+7Clnn3XaM88+42lnnXrmGaeeecapZ5154KlnPunsp522cuGzO40XdFovDIOLNTSlXpO6oXRbQVthoEFoCAElEiAhMpLRaIAMI1tkQjZku2QMWYPWoGU2kbFdMhGyxahruptXXF7O534+92WZl2VWCaso8qJMnc9ckVbe2G4fURH7KhJ2VGdu5tysdLPSjUs38vnYZePcVWuI+lk2yLNBlm2m2UZapbeT9TRZn86iODbTCQ42ghve\/Lpv\/N3f7iwWj2lF7XHnmN6SD1\/3hiu1XJ1dzVfdsPEWuuRNwQUaagg1oCZgE7GJ2ECsIdU1thDrWq2CXtVqNdms\/fYN2Udvdh+8afyGVzUH5jkrF\/6zlRc9sxw2X1W0Vl78488776xn\/dgZZz\/jtLP\/yekXPO+fhq3zpViRsi5VMxQNqdaEWlO6pbENKKpbEkkxayANFok0WyJLyIxskC1FFo3FyKCNyEZsI44sWYNsyUTWrl++lW\/NXVFWJy\/KfM+1z73brTesDJjzifczX2a+qFKQsXOx83HhYpdPvB8Wfly4yW6Ewg3yfJBlG2m6maWbabqeZb0k7eVJL06i6cyOpzDsB7fc\/K7DD\/+wo7yOC8fyltw59LZ3XsODxtYNxuuL36teCFQHvQpYU1DX2EBsIjYrA4bYZr3G0NBqVem6FPV1qL\/xldGvvRauil9ignNV8yfffg2+5\/rNxoXPfMG5T3\/uT5z5vHOf+s+fedYLn3920HyulBcrXdOqodSa0mtSr0pdVzoADDUEgAJJAApEoUmjJWIgA2SRDBMzWmDLEFnbjYyxbLtkemQitpaMZWs5iq64PJ9vuXLuyrI6ufNptYmhKKrsUOaL1Lu08KnzcVFNQHG7eW7nZn43WjFyfpS5YZb383Tks02XbGTpRiWvNOnFSZSkUTqz4ykMBjqJ+Y9vv3Wx3DnuVRI\/GMdSYYvFb73vLde+Nwv5gtvCC0fhQanrWq0qtaKxprGuoI64BnoNoInQBN0E3dS6rlRNqZpSq4E4SJ2LIvn89uo5QfM5118prspWTOO8lQue8S\/Oe\/r5z3l6\/eJzZOd8Ga5qtap1TalV0C0lm1o1tV5TugPY0dABDAFDJAEYSFLaABpEZrLGWGaDZA1Flq0xxpKJ0Bq2BoxltsjE1nC3d8VLfVFmZemK0s2LYl5kVW+t92lRZs4nzuW+2J38631auqSasZO7mXdx4eM9B3\/m82GRjZ0b5slwng2zrJ+nG1mynqa9JOnOYpvEJpnxeKB+9mXxl7949+Kxz+c9cTiGCtvZOXzbHe8t38oz\/eJ\/175AQV3rg1qtaLmqsCawqbCBuoHQQGxoXQddB2gANLRuSFVTakXLmhQrUhxU8iVK\/Ixo\/fQ6PB9b54Wrzw7WnqvkBVpcpERNqJqSq0rWtapr1dRqTeuWhraCViUvDSGSBAw1KTAKrUaDYBiNRTYmYmJCtmQN2C6anjVdskyRNdayJdu1pte9fCsr53k5d8WeK1bdiZXR8j6uPl0+q3q7navcr6l3sasCrX66N+xkkLtJkozyrJ9mwywdxGkvTXpJ2k2zXpzYZMbTgXzTL1\/ztXv\/93K5PJEDqt+XY2vD\/te3PrU2+unXBy9+Zev5Wq1oVVd6pbrOBNQkNEA3UTdBV8Kqa10HaGqoS11XuiZFXcqaUpXOVjrhJSq8RMmDSta0WAVV03IVdUPputarWq2BbmrdUtDUUHWdhICBxkpkAlESSbIKWCIjMhIzGeIIwDBwFbYAtswRk7VoLTGbqGtsl7v28svy+Zbbmruy2LVkR6Os3ielT\/aSj\/HRdKTzsXfxXqB14N0kS4fOjZzfyLNRloyTZCNJumnay9NekkRV3cRkgpORvvm3fn17++HlSfVsfFSOocKOHFnuLO9\/+2\/+ygcGl\/ZXzhXiJVKvSL2ioCZVQ8KKglUBNalrAHWAuq4uR1nTahV1HXRT6zUp60qsSLGqVE1BHbCB2NDQBF3TUJOyBbqudQ2gqfWaggZAA3RH6TWlWwghQqgh1BAqDBQEQKFmIKORkQ2RQWRCw2yBDTGTMUyGjWXmqArxkzFkerZLl20l5TwryqwosqLMiyIvXOJ3B5gnhYvnPimrTrUq7uVnhY9dPvZuVPipd6OsGvLrBnlVcZ8Ms2QjTXsuibKkO5uZZGanY07T6LY\/+vD24ROiQvWH5xgq7Dvf+c7iyPLB7e1vf\/MbH\/\/YB9NCN9rnd8TFQq+E6lIhm1LXJBzUegVUY88CNZWqad2UqqXUmpINJepCrWjVBggAQ6Q2UROgCVBTUFe6rWULdBv0GmBL6TZAkyms3o+gOwAhoARUEiWiYBJoyBhAAjSIBoERDZtdImZL1hhrDHfZWLKGrCHTjXp85RWumKfllnM+nc9dOXdznzs3q0bklz4piqoyZ+bdrFo7WvVFunxa+JnLx3k6zN0ozzbzvJ+lm8msn6ebadLP414SR\/HEjge68Jt33fWZnZ3tH2A3wonJsVXYI9neefjP\/\/PHf+kNVwXihaG4KAxXhGwIXVOwqnRN6rpQDakaQjaUamvVkLImRF3IFupAQ4AoCEKkjqYOYAegjdAGaGnd0aqtoQM6AN0BXAMKlO5UR0MAGAIKAEEggSSxJAZgAANoiSND1lCkyYKNumiRLZNlNEyWOCJmY4yNunY+T+Zb3pdpMc\/LeVoU3hWp96kvUuerttu0GqdTFtPCD70behfvLonJx96Ns3Ti3dC5QZL202SQxIMk6U5nZjaz02nU31TXXfeqr977lceH6TrKj05hi+XO9vb29vbhv\/36X7\/9putD\/eKgc6EIDoZyJZSrSjeUvlSqFalWlWoqVZeioWRdiabSHYCQWRMK1h3CQFFbc0dhR2GHdKAhULojVQtUp7JkGjpKB0p3NLQ1thEC0gJRSpKACkgAK2TNjGyYLJMhNmysQcPEEbJFixQRWWLLZMj0uCimZZlfNi+2ymw+d75IvE99kTtflRnGhUsLl7g8LvzM5zOfJ85NXT52fuTcMMuGWTrJs36arKfpZhL3k3iQxr1pbKdT3tgQ73rXDQ899EDVdravsB+WxWLnm\/d99UO\/\/5uZs532xUFwMAwvDeWq0JcKsRoGDSnqMqxp0dCyBboDOiBuVREHJIEUIgdAIVLIEO4GvSAgCLQONAQaOhoCDWH1a+XyAwpEWWUnkQSRIgJmAovEQAzGkDFk2JAhMhYNsTVoiSPGXrcs03mRzws\/L11ZRVx94l1e+OluGYVLyqIa+DvzbuLcJMtHuRvlfrdCOomHWbaRpOtJsp4k63G8nk170zGUfuOOOz62s\/2PM138ROP4KOzIkSPLI4sjR5Y7O4f+9I5bi\/lGJ7hYhC+W4aUiXBHhmpJNEdRl2ADd0RAgBoghoyASxJJYMAsyUlNIKJAEsUQIFQUAHYBA6RCwozBUEAAKDYGmEEAwKsAOmA6iZCYiqAr0ySAysEVjmS2xsWwitozWkCG2ZLr28q20LPPC52Xl5hdVDCwrirgokqKsWrpneR7nbuKLsXfj3I2yfJjlI+dGebaRpRtZspEmG0ncS+LuZMbjvnjZZckXv\/C55WJ55CTJZD9Wjo\/CjrJYLra3tw8ffuiTn7r9Na++Wutmq3Vxp10LO41Oq65EGyEEFoAhQAA6IJLEgkgwCSJBlT0jgSQIBWAAECAEgAFgALqDKAAEoFAUAklAyayBNSKwAWYkBsMaDZrImChia9kaExk0CBa0MchsImtM5Ny0LPPdlNFehrsaBlaUaVEmZZFU0QrnZt5PvJu5fOzyQZ6Nsrzvs77PNrNkkKYbedyLZ2YwUG98w2u\/\/vWvnlyZ7MfKcVbYkUeyPHLPFz7\/tre8qas77YN1KRtKdRA6oI9ejgIxJAyRQvp7hQlACSwAAiQBGCKGiFLpQGH1\/FREGlABSUKFpJA0ITJrMrqKXBCDscSW0RAbMtYgG7AEEbMBNmS6xmWz+VZalElR7nn3PvE+cT4tysQXsXdT76Yun3k3c+ksT6dZPsryUZ4O83yUJwOXbsTJehJ3pxMYjeR73vO2Q4ceepz59d\/NcVbYIzly5MhisdhZLP7P33z53\/\/2+7eyGXbqWjZAhXu+VIgYIgREAjDQuwISCBq0YJQaAkCFqDUIQImoASSgRFQAikiR0URVdQUYUoYUswJDxpC1zKZy+ff6c6v2NgvGcG\/dOj8pimy+lRdlWpS5L\/K90onUF7HzVfh+4vJpnk3ieJSm4zQbpvnQZaMs28ySXpb2pkk0mdAstrfd9gc7O4d\/gIWgJx0nkML+Hx5++ME\/+Y+fuPKKeadTl2INIKhUpSnc89w7AAIwRNqVoIZQo8BKXiQ0aAKNWiAoIkBUiIhWIROICTAkAAAH7ElEQVQzIili1AxgkQyiAWZgY8gwWzaMaDRaYwwZtpYxS8elzyofvzgaA\/OxL5IqBub29nok6ThOxkkyyrNxttv22EuTQZKsj8Z45Utnn7\/7zsfZg\/F7cOIqbLlcLnYWDz344J\/dccdVL7tMBA1ULdIdhACgeiF2AET1ZgTQAFprjSA1CkAJIAgBKUAtmAFQAWgkqVkAAREgAjGwAWLgiNlW\/j2xtWTIGmKjidhwZAz1IpMl49LvBfR9WvjUu1nh46JMvd8N5VeLiZJ0HMeVwoZZ1s\/SjSTejONoOMSXvSz\/0v+8Z2ex+IEXgp50nLgKeyTb29uf\/exn\/vWbrzdGCFGXqqV0qFQHIdAgtA5BdVCHoEINAkkBVA5+CCQ1KCKNJBElkgRWgJKNYqO46mczyASG0Rg0BpgrVwyr+9EYMAat5TiZ+CIpisT7pCh3Swudj10xcm7m81nuJlk+dtk0SydpPEqTQZZtJulGmmykMzseyLe85Zfu++bXj\/d3+aPm5FDYkSNHlsvFcrn42tfuveWW9w0G3VCsKdlW0EYdggpAdUCHhHJXWyAABUCIVQwMFaJGUkQKSZEFImQGYkUMzEwGkIAYjWFjwVjN1SQeNsawjUy3Z+N4XJRJUSRbRTovU18mroidm+V+mLupy6e5G+V+nOcTl02SeJAkgyTZiJP1eGZHQ3XLzTceOnRosXhC2K1HcnIo7CjL5XKxWNx33zduvfUPXn7VFVKvBWFDqZZWAWgJGGKVHQIBIBAkgkQtEAXxns5QMitDyrAmUsyamImIDRAhm6qxjY1hAN3t2qiLxkama2bJpChT52NfxGWReB\/nxW4KMneTzI1zP86q4QDZME36cTyI0\/54wmna++M\/+cMnglP\/qJxkCqsa5ysWi5077\/zLX\/iX12johMGa1oHSHQQBKtQ6hL0fNIQaAiLJIJEUUsismCttqYiAIs2smNFYNNZc\/Yr57be99Rvf+uTb\/s21g\/5gfT3q9kx33abZqCjjskx8MXNF7PJZ5qe5i\/PdxbbDPB\/lbphlgzTtp0k\/nq0PR3zly9N77vnccrk88iMf0XuCcJIp7LvZ2Tn8+c\/ffeONN4w2IxE0lOyACkCFoAWhRBSIVQ2PMKiQpDHArNloYsVGW9YcgTHARhuDbPH2P\/rQf\/3Tdx9+8K8fuO\/Tg\/XeYNjvrXc3+j3nB0U5q+bn7C0cnTqXuHya5ZPcjbNsmGWDLB2kaX8225iOzJve9Lp77\/3KcvlEceoflZNeYd\/ZC9s+9MADH\/nw7yXxqNOuCdmWKgAdohZYfYJkVISSUDEBExJpMrpy+YmAGYmkUuL33vf2P7\/9nXf+2W\/c8o5ro25vs7+xsdnr9ihOhq6MiyItfOL9rPAz78YuH+fZKMtGaTpM0kGSDuJkfTruDoby\/e\/7t4cPHzqyrAKq+wo7+Vkulzs7Ow8++MDtn\/jYNa98Oci2DFuVyAjk0cOo\/v6QYgJiZKORhNJt1OEgog\/c9PM3\/cplgy5R1XMUcbdHSTIuy7QsquxQFVwd5Vl1Blnaz5J+Gm+OJj2f9z\/x8T\/c3j58HCdAnzg8fhT2SBaLxV13\/tV1r\/8FJVsibAKEVbsRkWBSkdGWFZNio9kqNpJRKNmWqqN0S8kWYhh12VjsMhhLNmJrKc3GLp+VfrblZ76otlkN8mySZ5tZNoiTfpJsDod8eTn83F1\/dby\/gBOIx6fCqifncrG45wtfuOnGX+\/3e0KuKd1CEqSFQUUARJqNZiPZSK3aWrWVXlOyQySMkcaijdCyNharKRZxMvT5tPTT0k29m\/lqf0c6zbLNONmYztYHA7r+X73m3nsf55nsx8rjU2FHqd6e9933dx\/60O\/MpptStJUOECQjEAliQRgyCqXaSq2hbiIIG0FkwbK2ERirbaSMpSiiNB14Nyn8pKyCFGm1WmGYJJvJbGO0Se9+9w0PPfTA8f6PTzj2FbavsGPLE0Jh1aX5wLcf+PjHP3r1z74UVKhElSAPCQWBYKjKGxWyZqOYFRNUkzcrhXUtXOYHLh97N3FumOejLB1m6WCWbI7HUTyJPnrrRxaLk7Ut+5jyOFfYd7Ozc\/gv\/uK\/\/eIvXqt0JxQtrQIEQSCYFJEyFpiUNYqtJFbGKmMFWaAuuGzD5SO3O4apnybrSbwxHPK8nNx992cWi+19eT0qTziFHbVqX\/zSPe+88R3DQS8MGkoHiJJJMUtD2qAypIiksdpYaYxet3rL9fNqvWg6ztL+bNbb7OvXv+6ar\/zNl5ZV1GtfYY\/GE05hR1kul9vb2\/fff9+HPvg7s3FfhWtadwBkVfVPJNgoNtJYxaws62S6nqeTLB0myfp02t3cxJve+WuHHn5wP+j1vXniKuyR9dsPfPv+2z566yuvfimothQtQkEokCWyRAoMh5rDeGLSZDOJ+5OxmU6jj3z4d3e2Dx\/9C8f7vzlxeeIq7JEsdtn57Gc+\/drX\/JySbSlaBFWrXMdgwBQUCc5m3f6GSdP1\/\/LpTy12nqC1Eo+VfYX9A6pegf9+11\/e8LY39zdZhC2tOqA7Cpr5VK2vi1e\/+sovf+mefaP1\/8++wv4Bu++AxXKxs\/j2\/fd\/5MMfHA27nXYtbF+a9Fd+9Vdff\/+3vrnYOVHWnp0U7Cvs+7BYLJaL5fb2Qzs7O0+c4vp\/RPYV9n3YV9gPyb7C9jm27Ctsn2PLvsL2ObbsK2yfY8v\/Bcyh0+dhGIuKAAAAAElFTkSuQmCC\" width=\"203\" height=\"209\" \/><p class=\"wp-caption-text\">Figure 2b. FCM-100 Fan Characterization Module from Advanced Thermal Solutions, Inc.<\/p><\/div>\n<p>The operating pressure of the fan curve is found by taking measurements from a static manometer. The volumetric flow rate, Q, is found by measuring the pressure drop across an AMCA nozzle (Figure 3) using a differential manometer. The flow rate through an AMCA nozzle is a function of its size and differential pressure as shown in the following equation.<\/p>\n<p>In contrast, the FCM-100 is void of any nozzles and works based on volumetric flow rate measurement using the ATVS technology flow sensing system. It is compact, portable and capable of characterizing single fans or fan trays.<\/p>\n<div style=\"width: 294px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" title=\"fig 3\" alt=\"\" src=\"data:image\/png;base64,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\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oJz51qUeCPqOVKlUSmEEsk24LttXXh+qZMKNKqNBKxVLgtEgklMokMHP7K5bBMqhKJ5SKxXCpVw7BJY3CYUF+iyPDTJ649\/bkXXvvOS2\/86MXXfvDZz\/\/oySdeaVU71Ux+0tx54\/He\/\/jX\/\/Lnbz71dDs1yXubAVvBY814nHGPK0SiQdLtQTE\/RgQxMojjIRwPY64whobcs\/5AcJzlQxAfgnpciMfpIh0uwu6aQ4XZEczq9Dgxtx0hnO5kKMk1uP3R\/nS4Nx3ugfzq2K\/2xsOzT4TPbNLtdm\/V9EBzba992G0f8Oxev3PUbozb9UmPOWzXJx32oFbt1updujUETsVyU5abcu1d8HBCi9HdQuPF+Ey9n\/Dv9Iqyu+RUZ5cr7gBVZadq0VtFW2KFWCkVyLbXhZsrW1ur2yD2k2xLZSK5UgpplFqd1mi4PafKkV4Q\/vUyPiaBlihL1mNP4o6IyxF3e5w6vV1jKCezTLnGVuvteour0vcE1aJTzdVpdTqtToft9bg+WCTUYoZ0a1Aq0Rjq1UAGo8ZgMZiNGrVWqdKr1WC72NyyAF2LUOlgrRbSgJzqhIBlQVK5QiyRCUXizW3B2oZ4c1splmpVmrlNyaTyuVNJxAqBSCaSKORyLQybdEanFQ9kqp3e4bM3nn\/rpS\/++LW3fvrKF99940s\/\/eSnPs+1JpV8adwofma3+fvf\/vnffv+ll0Y7h2U\/E7IVPeYcaU8RzpAbCeK4B0Mo1O3HiABotMXRMIYGMGQm1EUhLsrl9Dod1DFXhMOJHQt3IF4XRjpcFEK4najbiebiuWlvMu6NJ4MpgKrfHfc6o0Fvcg9Q9fYXT4SHvWv9zmGvfdDl9nrs7rBzOOwcPn7wqb3B9W5rPO4d7O0+ORzeGAyujSc3h8MbfGefYSdnEsVy0zlIi1HffzxUdxpSPLXl7\/ZI7xihuziVaFOskCgVYqVoUyzYEG2vC0WbYsm2VCqQycUKlQzSqHR6rclkcricbooMR6lk2hvd8frKlLsRdg\/ywW7W04i4igE07XZFEWfcTWJGs0mlzoVjdLHC1ZqdBsOUG2yDYRsMGLCdqc7dqVCxSNfctbhqs12juQbXpjmW5pkGV29wtRqbTu3YrE4drLUZTQ6zyapTG1VKk05v0t7iRw\/rdJB2RpRab1Dr9bDulubuBGv0EKxVQhqFCpYpFCKJZFso2doWbWyKNjblQrFWCUEylUgoloqlcqkcOJVCDisVGolYIRLL5Qo1BJs0GovejNg90QI7nT75yjOf\/fbrX\/v5G19\/73Nf+y9f\/tavP\/Py1wfdI6beGtQKnxrVfvOTN\/\/7e9\/86k36+XZimHA2KHPBa8mQ9qjbGcJRP4b5UNyH4rPLv1EkgCJBzBnEXUHMFcRcAQylEJfX6fC4HKTLQTodhMOOO5y4w+l2uggXEnSTmMVG2F0+N+lBcAr3JIJRtsn1uN6gPx4OJv3uqMsP+t3RoHf27PCZU\/qd9qjLT\/rdab+7O+iM+51Rl+132N6AH6SjKQ9KdGk26PYk\/WGmzsTCWRQNWCyEm4gkEuVSiWPYSbd7cCt0XNCpY+K9eZ\/7af0H5FR3D\/\/u3lFxOqcyaIzCDZFColRIlOItiWhLPM+mZCI5KP3pIL1eZ7ZaXChC+LzRuD+V8cULvkDFR1YDWD8X6OWpZgwtBtAU7gw7bGEXjpssOpkq5Qs1dkpcrdmut+hijW0ybJNhG9wtNdtc8wxHWhRP88Cg+nR3wHCjVrvPdfpcp8N2uWa7WWfrlVbAH7EYLXq12qSFzGqVWa2067U24yyJMmoMwJTAQMfcoLSQZh4izuO9Y6hUIPCTbguF65tAoo0tlURmVGvkIplEJFHIFAq5EuRUKqVmBpVEoVBq1BqzRmMxWlAXFS9x+3tPv\/78Gz\/4\/Dd\/9flv\/eXnv\/EXX\/3eX7\/y2nfHo8cH\/IAv554aVN5585P\/39\/94EcvDD83zu\/lcDZkqfhsea8j4XGGCTTgxvwYTqEYSJz8Lpff5Qq5kZAbCRNomECDBBLAXZTLgdsscyE2G+ZwuJ1Ot9OJmi0UgvpQjHChHsztwdyYw0nX6R7XGQ2nk\/HeaDgd9EaD\/ng02P2fLFT0u9Nue9DtDMAvDruDPt\/vcu0OxwnW1j70h3905ZGH2FpJIxNZtVDA4zHo7Zcvb\/\/xBz7+Jx986Ny51fUNhVJpjkYKDDs5rdMt7fM5kdN6P04VixZj0WI8upOMFcBVGpl4IZcozhQ\/vlozls\/Fc9lEJp1Kp1PpTDqTT2V2MlmgbDy9k8pV0juFeD4XyeSj2UI8n4+l9Qq1cHlDKZDKRVLh+rZwTSTekEi2pSKBTCyQS0UqhUwLQ0a91myx2p1OhCB94VAiGcvmIpFCgCp6sd18rJ\/yVQlb2Y+k3U6\/wxomcMpuNysUXgfSLJSZKlPZqTarDMf02VZvdmF2pcVUmXa9xTUYtgFgY0B5kG0yPM2xTaZNszzNdZg2EE9z7RbHM3yP6\/S4ToflOZqla81GuR7xhy0GM3AkUN\/TQRqLWmPTaGwajUWtngmGLTBsVKn0CoVeoTCqVCYVZFJBRpUKVCaMao0B1mhVECijy4QipVgKiumCtQ2lWKqHYD2slQqlColSKYUUMpVCDqsUGlipUyp0EgkkFkNKpV6nd5hMiM3u8YRy9fbeE5\/+4vOf\/eY33v7LL33vvW+9+zc\/+Nnfv\/X1d\/aPnuryvXajeKNf\/\/wz0\/\/7H9799TeefXWaf7wV5qL2osdci+BxzBrFnCEc82OoH0P9GBLE0SCBBN2YH3X5MTSAY0EcD+CYH0Uol9NttRA2K2Gz4hYzYjSgJiNhs1KIi3TaPS6HD0cpt5vCCQ+Ck4g7Hcu0ab7fHbeZXpcf9\/gJzw17\/KTLD7vtARC48YDn+oPepN8dgyix1xn1u+NBb68\/OGyzU4bpHe5eH3SGI44\/Go1ChPvqw5\/40H\/6T2vnH8mEAvLNdQ\/i8GKYVKS4cmn93McffvCDf7p5+SIk2jj\/8Y+urq5g3hA7OOwMr9XpUb97NOB2++yEb0+BZYFq4SwmPEauxYxbzJhuDYGa9Ez3AFUomAsFc+FQPhzKxyL5WCQPAJtBBQzq+HL1TCqXSWeA8qlcNpEFyiUyhXS+lCmUU8VKutTI11rFJoBq6+qadEMo2hBsLq8LVgTiDYlkWyYWyMUCuVQMz6Eym+0OB0qQVCgYT0Yz2XB4x0\/VAuRBMTnJBhuUaw5VEEeDCGJVQYTNWc8XmSpTKzXYZhvsMQdXgNMVGkDF1o4LGJVGvVRrluutWhMEijPYFtSqt9gGw9Fsu8VxNEvX6XqpVi1U\/KTPqDWadLOKn8VgNmr0FvVJnMzQDCqjQmlUKAFRd4IKksql20K5UAzMSry5DUnlegjWKtUyoUwphWZQyVRKhUal1CrkWokEEokhpVKv1doBVN5wts7vP\/3ymy++8d3v\/ORvvvbDv\/zeT\/\/+Rz\/\/h69+52fXn3hu0BuxtcIhX371if5\/+4tv\/9PPvvjGQelGM9hJIRWfrRrGkm5HnEBCAJsTUGHIbVBhKIW4cIt5DhVqMqImI24xk3ab22HzuBw+DKHcx51NGBmiws1qq8sPea7f4yf97rTHT0aDfXBAvIgQoAg8dPlhlx\/2OqN+d9rt7fPcHsv2p8O9Dtsdcd3dbpe0OySry5\/44AdWzz3qR12bly\/adGqb0SSTqM49dPnjH\/7YpU88BIu2lYL1B+\/74Ic++MGNbVm2zHK9wyYz6fIHfGPAVrssMzyNEHg4jdP8\/T1A5fEmPN6El0r6\/OmAPxMMZMPBTDiUTcULqXghEy9k4oX5pR7Z3E4mm89m8plULpPMZpLZbCKTTWQK2UIpVyplCjupXCGdr2QK9Xw5HYpr5dDG5RXh8sb61dWVS0sbS5vCdbFoUyoSyEQCmVSkkkvVsNKg05hMJrvdjuCEL+CPxyOZdDCY93mbYeqglNgrxriwuxJwpQl7wGXxo\/YY4XbptJjJlovGS5lSLrVTzldbzXar2eZonqN5tsnQlUazUG4Uq3SlMeeqVWsCp2rTLLCvRcDoOj3nqlVv0bUmgCrsC5l0RqvRAs6djBqDWWc0wzOWLDA85wc8GxVKo0o1\/wpABbjSH59NgdhPui2UbAvEm9sKsQQU3GG5SiqWA5xmUqhVSq1MphGJIYkEUir1Gp1db3RZnV5vONvoHDzzypdeffNHP\/zlf\/3Wu3\/zo1\/84zu\/\/Mdv\/eC9p5\/57KA34WqlKVP49GH7f\/vh53\/\/X9\/+6pOt643AMEc0w65yEMl4kASBht04ICeIo3OogjgawLETUC06FWoyArPCLWbSaSeddi\/i8uK4Dyf9hMdPeAOeYKvOgELFZHQIugF3J9fHw\/3RYBdo3mlxtlP1d3vd\/Q43GnZGPNPZ642GDOvU61GTUbB0VbS8hNssG1cu6iCVSWeUSJQf+fBD933gQ1cefgQWCcQrl+\/\/w\/\/8R3\/wv567sJzI1NjOfpOZ8NweU+u2qp0WPVjEptEcNJqDOxkU+LbRvJcudcwdw9wxnIy7PTO0\/IGMP5CJRvLRSD4eyyXiO6l4IZ0ophPFdLowVyZVyKQK2fTOrSulU7l8MptLZPLJbD6ZDZN+SCTfuLyyvbS+cmnpymOXli+ubCxvba+JttZF25tiwZZsHgEa9BarxYViHoqKxkKppN+f9ZD1oGe6Ez0oxbtxb8XvSJPWEGb1uWxJL+E2mexanR93h7wBAnGTmJcig34qkggn8+lCvVhl6nS3yXRotk2zXZbvsjxgCQiEfDO0jkPBOVEczbINhq7TzWqzUa7vpPM2o8VqtBg1Bo1KbdDozTqjCboNJ6NKBUACzyYVNDexOVQGSK2HYJBNKcVS6bZQvLkt3tyWC8VquRIcWy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\" width=\"284\" height=\"163\" \/><p class=\"wp-caption-text\">Figure 3. Various AMCA Nozzles (CTS, Inc.)<\/p><\/div>\n<p><strong>Air Flow<\/strong><\/p>\n<p><img decoding=\"async\" alt=\"\" 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\" \/><\/p>\n<p><strong>Fan Laws<\/strong><\/p>\n<p>Fan laws are a set of equations applied to geometrically identical fans for scaling and performance calculations.<\/p>\n<p><img decoding=\"async\" alt=\"\" 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\" \/><\/p>\n<p>Published fan laws apply to applications where a fan&#8217;s air flow rate and pressure are independent of the Reynolds number. In some applications, however, fan performance is not independent and thus the change in Reynolds number should be incorporated into the equation. To determine if the Reynolds number needs to be considered, it must first be calculated.<\/p>\n<p>According to AMCA specifications, an axial fan&#8217;s minimum Reynolds number is 2.0&#215;106 When the calculated Reynolds number is above this value, its effects can be ignored.<\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAL0AAACPCAIAAAAgB03BAAAU9UlEQVR4nO2d32sbWZbH+z+RoJ5kENj4xSyLTCAMih6EMYtXxCzrWUUghXbjh8EdVBqHHdxM7N4t2Z4QQ68z0rQT3JvudFUydAciZ4ueyWh7lKmMe8gm2tqeOF5LU73rEYqoabm16srdh3OrVL8ky9dyHNv3gzBySaoqVX11zrnn3B9vIQpl\/7x11CdAOZZQ3VBIoLqhkEB1QyGB6oZCAtUNhQSqGwoJVDcUEqhuTi\/1en1jY6NUKhF8lurm9BIZGxN4\/szwMIF0qG5OAgLP5\/N52xZZlhFCsiwLPA+PfD5fqVTgDZVKBT5yMZGgujmNlEolxuM9Mzxcr9dhS71eZzxegecRQmwyeWZ4mE0mI2NjjMfLeLy5XM747PK15fm5OYKDUt0ce\/L5POjGEIQsy4zHC\/aG8XhvrK7C9nq9fjGRODM8XKlU4PnytWWyg1LdvFksX1sGq2B7gFUolUrzc3OMx8smkxsbG8ZHImNj8Be2CDzPeLxIN0VmFwaS2tjYuLG6emZ42OnguoTq5s2iVCrdWF0FayHLMshIluVKpVIqlc4MD58ZHs7n86AecEwXEwk2mTRLZH5u7mIigXRTZA5fDBdWKpXgELQ9dUK4sbpqWI75uTk2mTSeG0EM3H5QiRHKgIAQQmB+YFdgeAwMe3PAk6S6eeNgk0kjVo2MjRnRCePxGuGIYTbMoYxhXYzgl00mDdkB4MLIbIwZqps3DsN+mI0K6AO2I10isizncjnDYSGEzgwPgwszgmLjIwgh8HQ2JZFBdUNCvV6XTRz852tgth8bGxuGbQB9sMkkHPrM8DBEMPNzc4ZTQ7pjAt9kSA1OMpfLQXhkpHAOAtUNCXBLbA\/DoRwE0Ac8N5pFSG80sckkNLkFngcbExkbMydgKpUK4\/GCpGBX5sfyteVeSZzqhgSzVYB\/4Y4e\/K5UKhVjt9CGgudGrqVUKhleCQ5tsx+lUgk+BbsCemJjzFDdkGDTjbHFnHmbn5u7sbpqu2HmrL\/x6OaItjzvkUN1Q4LT3kA0CiqBnOzytWUwQmZlgOuxPfY8XKlUggzNIX0dAqhuSHDGN5GxMUiKwEtGEhaSLkd5rocD1Q0JhlcCv2POrHS2KMR+6k2D6oYEm58CrYAC4Hk+nzc31I0P5vN5yMWZH8arbx013V8BqhsSnHHxxUQC2lOQrjXa5NCB4YhO8xChuiHBqRuQCxgPSL5Fxsagy8vBi0FvIFQ3JFQqFYHnbW3sfD5vbKzX67lcLpfL9TxxAtTrdXMW5\/VDdXPM2NjYMHruzc\/NHZUxo7o5TkA5EzptbWxsmJNGrxmqm2MD1J7M7a96vQ4JRtf3G13Tkd7+7+HJUN0cG6CF76xGuQY65j4YyNr\/qydQ3Rwb2GQSCt3dAC0+ozRxZni4J+V6A6qbY4Oz814HYEAdPAcH19sImurm2AAjocxbNjY2LiYS5jSS+c2GyCCa7m27nerm2ADpRCNkgaAYeqpDwRweEP+a+4MeRs6a6ubYAEKB7nzL15ZBNBDBGPVRSFuDY4KYBtrqxOPr2kF1c5yoVCrQrWd+bi6fzxuuZ35uDlrdN1ZXLyYS0DEZaqgCz7PJJNngug5Q3ZwEoMfxxURifm6uXq8LPH\/YxVSqm2NPpVKBeBkcWaVSMY\/AOiSobo490EsVni9fW76xuloqlQ67+EB1QyGB6oZCAtUNhQSqGwoJVDcUEqhuKCRQ3VBIoLqhkEB1QyGB6oZCAtUNhQSqGwoJVDcUEqhuKCRQ3VBIoLqhkEB1QyGB6oZCAtUNhQSqGwoJVDcUEqhuKCS01U21+rJafdnLQzWldL9pVt8guyopGuG+toVoIMZva0p+6e1lqdnxvWohHf6RUP5aiA4Mcnu8F9XEVP+MWGt3Xq+aypdrV5fXvvxTU9sS3maFcoPsCxx33HWzsnI9EjkfiZxfWFjs2aGaUrr\/XFpSEUIINRRxNuQZz8q7B9slN9jfWQu7cmZiJFPU0HYXutFq4ow\/nJHbyvnPD68uff706edsSlAaqrQ0EufLpNo\/1rjoJpdbj0TO53Lrm5ub8Xji2bNnvTmURTcIoR2RPTuSKWqooRSWYz4wQjOCXEMKH\/OEL7ETfo+X8cWzxRrSyuJMmPF4Gc9QLPNEBXtz65bJgGEjocmZEZ\/JYNTElA\/UqetGLaSDo5fFsmbsMziVip6N8dv6KT0p85NMcCIW7GM8fSHuoSzOhjxeJjgrKg2EKg\/\/8QfMX6Wl714hrZgNTxxQ+scUF91MT1+6c+cuPF9YWFxbW8MvKHzMMn28WQRdYNdNU+EnmShfLvOJ\/ni2WEOoUean\/OGMXOJjWB9ViRtlovy2xA36ZsSapsmZEc94VpbBT2F709gS4uGUuIPQrpwZ97NirXVMbhDbj20hOjA4\/9HH8XMJfkuDYwWXJLWpFldjvoEYv63rQFX4SdCrJmdG4Ey0LSEeGMn87j+\/+L2i\/d\/2rR+nJdUk\/VOHXTfV6stI5LxhYyy6OSDuuvmkKM74LXKcFH53K+aZFJSmRVs+L+O7kL7N\/1JSND2+0f2UVhNnBuN8uVnMhs+mxB3rIXgFIdAN4\/Ey2Dmab\/mOyJ6L8du6rWq0PqXwMfx+VeLODXL\/\/l+33o2xqXcmfvbb2vcg071jppOIXTfPnj2LRM4ryjdI19DDh7\/Br\/XY3sCde1p1hhQKb9ONghDSFOkuL2TYkGcowX9x26Ib7I9+zl+1OCmHbvzxDz6dH\/WzYs1FN7Juq5pW3cCZgG6kJmqqOxW1+QohRHXTAoKbtbU1Rflmdva9eDyxu9sj\/23RTU3mZ0K+KaHc0Mp8whe+LJY1VCtm4rqfMuvmk6I44\/dNCeUGwv7iXks3WChViRtlPF6zk0JOP8VJjTKf8I1n5ZrDT0kiO5oSd9AeujFD\/ZTOwsIiPEA9PRMN6tAOd42LrfZGUx4tXvB7vIynL8TysvoC\/BRSC+lgH9MKfQImJ4UQcouLUVXiRv2sWGvFxROx4FBs5QP9nV3rhsbFBtPTl3K5dYRQj5M3h86unBlnXJrQRju8LZqyfjl41i64vdFoOxyzu7sbiZzf3Nw8opMhBmLe0bRUdXkR5\/1sCTqTkfMMxRbz+05B0ryfgaJ8s7Cw2EvfRDmh0PoUhQSqGwoJVDcUEqhuKCTYddOUuEFzw6SVwDg4mirfT0eHIH\/jjy49kGt7f2hPXM6wKnETCX6rIXGDlgR3OMUXu81w4w4VVXl9qdXs4u7LajftrkaZZ9\/ht05wC91VN14muCTBBeqhbrRiNhyIZZ6oCCEjNXzwS+s4Q03OjIQzsmbrZaGpxdWYr8ueG7hDRbGYGYGCPEJIfZKNBrrNDrs3\/k8Obrrp\/1H6SiTEFVTUU900pXS\/I5+LtoXoUCg6ETLZA03JL2Gz1GHL+mXo5xCdCFnOsJX7b6cb295qZT7Rb+qGEVyS1P+BnTRadQwzjgQ3lE08XsYDBRPUTb7xWOOqG06qFtLBSFqqOnRjVJXxYz9VPf1yB9kszwuirOo79EdXi2pTlZZCnvFssSjEz4FZ0qCW5L4lEOIKKtgt8xk2pXQ\/NipNVz+lbdn3Jm\/rlSn9ZhsFBFzf6Aux1wX+rijXEHzK2vGjWMyMeEbTUqUmzvixzvbsAna8aaObpp5EL\/cwvgEainRP4K+ngn3+OF\/WtoXoOd0IbQvRQGzlg5TPfLMH2mzRPY5N2aZ\/W\/ZGfZKNBkIz64oGFSvr3vgX+B43sVzsnb8spfjnVXvHj\/j1zLt+R7dDTc6M7NEX8RjTTjcIoR2RDSe42R\/2zN5Y0OTMiGdSUJ676cYahbRqk25bamLKt5dusGkZSvBbmnNveCeR97kpfzgja\/bOXzq7cmYcF+cthkSriTNUN7Zr7WV6ZG80OTPiu7BUgEKQpkpLId+MWHvh5qfANugRSacte\/mp1p1rlPkpv29GrD637w134wownr6RTFFDOya3Ne6PLj9SILzFhfSqo+OH4afwV5B3T62fgv8aZX7K3zM\/1VCkm6lgn7UdboqLdVV1FxfDlu7jYoTUQjo4EOIKNcfe8G2GW242SJoifciGPLZ2eIe4eEhvMJ6yuPi1g3t89nCPRjv8KDlt7fDXTu91Y+T9jk45py\/vR6F0A9UNhQSqGwoJVDcUEtrUNfGjL8TelJQeNQps4xn2nzNsc269iay7mqLAwp7R90mOjjvmb2CkSK\/atE0p3T9wkBt8iOfW1RQFFrpq7Z\/c1njnvJ9bjp8YV92o8gMOBkZ5\/dHVotpQ+EkmOJWKDulbNNMOXM9N1sdSue6qzfQAtgFZ1QK2hf2c1HCO1Tr7w2jEj7PJgJFdNNfzR9OFJ+JMmPH04VrYyc3+7aUbuxc4QH3K7qcmBaVRE2f80NdHK2bDQzH+uTGmH6mFdHDIrLM25\/ZrIRrAtck2u3JMD\/DVNj81CKLEW4oNvPNG2f7SvdvRAb9tnFSrmmHU87+VM+P4cLjMfpKrDfvVzQFw91M1WbwL5XHGM4BvdmtEd6Br3Wx32pV9eoDP7rMBs\/rxlBf9nNSEQpX5pZ9yzivQqp4aJ9lU+EnsN00jmk9qdXO\/fuqA9samGygccp\/yd0X5iRAN7E83Fj8ld9qVfbjuZ\/cd47qbLd3YXnL75bTTDRzutOtGLQps2G6iiXHRjSpx5\/ysWMOd8frwnEXd6KZ1bvC2p512ZddNfouf8kOgo\/f+1Lv27ZbtL+E5DBzfxfBTHXRzqvzUIbbDbbqBewyR7Oz70SE\/e7\/YWTdt2+EvOu3KOT2AfaICrTVFQbXkPoeBBXNc3EE3pyYupnQJbYdTyKB5Pwpln1DdUEiguqGQQHVDIcFNN6ZCj97vulfUTMOt9zNauysaSmH5nUWpSZjjts27VpW4UZzVPN1Ta7ni0I22JcQDOKVhmvWzF8eCqaZBiJoq86lgoKe9gF2n\/Owa8ySPalFgw6Zs+Kmeys8Vm260VnUQb1Cku3h860GpiSmfeQq+hiLdE0RZNQ0rwYNjFD7mi8QmYKhKn16L\/qpsH30C4uuD+vN2AWcFB7lbH4O9aSX3YAjLCyE6FHr33ZjPPGDF9MVxPkaVuHjqw3Vh3qTCUzx1qCs23bQbquhKU+EnLSXAjoUY++BZ83Y8HL8qcaOMPs9+gt\/S8GTVfFlzGZUtN4vZ8ECIK6g1MeULpMRN3d5sGxUr3GtCLaSDA7iy3RrjZx51pUpc2JrYtVmv0ztVsSs23TQVftJFN98\/v7\/EpTkuffVff6t8R3gohY+56MZURkZ6QaA1z74RqcC4OGs3jOL9lM88Abtq1c2vheiQfqehCGCqbLvMlxBw1s5Mujm9U6O7spefQgipf5Se\/SodzfxBUf70NT+dgOIR2q+9cfgphFBNlopy97qx5fVrItXNUeGMi4vZ8IA9Lv7vL9PBCz\/hOI5NXLxZJA2Sd+XMOOOIi5vufsqmG+QyHb\/hp7AbevQIl8Q7+Kl2uqF+an+4tMM1pbDKhi2z4TeldDTzh631ub+dFXcO8JOzDLcOpz6ESQbc4mKHbtxGZRtxsdcUtXj97AfX28bF7XTjtGdW3dC42Ep3eb+mlH6bV5CmSj\/7u9SDnVeHfFJHQidl0Ha4nS7zxc2\/qN+9Qgihplr9ywn18e3FQfN+DmidgUIC1Q2FBKobCglUNxQSXHSzu7u7ublprCakKN\/Acps9wpYIIahdm1fNtKIpjxbZpQ6rfmq2hVthXvQ4Nz\/hvsP9gpv33+qV+Y5A7+OtfLq\/D88WjVC3FwRP596ugfe9Kq\/\/4urSv3xeVL8\/lKDeRTePHz+ORM4bupmevtSzJX2hGnX2XKj1nXuqG\/vSry7Hr4kzg61Ciu3fXtFNZV4f6oCHsRqZ9G4uyF7Da7Ri9h\/+Sdz6WrwST0u1w0giuOjmzp2709OX4Dks6fv48eMeHQ4u1hcP8ISdCF+mzD2BDes9choKDOQ2xofb03f6Os32ZTgzAncOLzRckO3DXAwsv1SYOlTRV\/G0rW7f6lDhGFWO54jUp2334rHJCh\/zTH7MX4HKfF\/w3A98ppnYzeU5Y0BjU0r3n01xMyFc3nHqxnFBsM1+Uu4wAB4h1HwhTF3+\/H+bh5G0dNHN7Ox7KyvX4bl5WWiEDrwUtFpIByey8rd4uW99mV0G1tWFSVyfPsTT8WvFbHhgJPP7or1coA+ocy7fiu1NxTHG21wf2JUzk1i1NTE1mpE1\/HHH6vZVOTPO4Gn3A372s0f2MzEqG\/rqnrhCUtVHaW0J8XBrSluTYWstNIzPeVviYG0Dh26M9QnwBTGmc1fbD4Avfq8+WZv+8S\/+4+UrhA6jSOKim0jkPCzNihC6c+duPJ7o0bFM1tWyzK5xmbaFaCD2yRdCfIjxDMW4j4S7kqJtO8qTt6Q9dLPpGONtcWqanPkbfLNhUFy71e13RDZgcjfOM1l7xE\/5PV5\/lPuUvycpDT2+0XUDfjDOl5u2uMptkB4ebPVHu260LesFMUxXo+0A+H+++9HEXw9HL6e5D+4\/3z2MoqxdN5ubm2bHND19aWFhsfXygeyNbch+n3W8I9Lnkdi2zsX\/0\/f\/nkA3HX9e2pbw9hWx+jQ7CoPi2q1u\/+jBHrrhFYQ0RfolfzvLhhnflFBYs+oG\/0J+zl+19j1qOyh4MH7l\/Ql9cHtL9OYLcvPBCpiuDutVF17ufKMoiqL8WW2+eh26efjwN5HI+YWFxc3NzZWV62bbc0BsDl7\/94UQHWA84RT\/VJGWQr4p4em9FEyIj\/tnXRVW2vipmojfqT7JRod03QRSYtkxxtumIa0mXkmwUyPYcbRb3R5c5JKkViRulHE5k189YAOtbmW+8ey\/3TR0o3ulqsSNMh6vrVeTw0\/B7NtgWqyjoY2viS\/IT9LvQnTY9Trnr8FPra2tzc6+t7a2Fo8nVlauLyws9qgR7hwpDTGp1IqL8Xzpjrp3u7gYLwbjZXwX3p+\/4I\/yCr5JgdT6V23jYgB3EQTH0W51e60VF0PY6xIXW6dex\/evoVfmxRru0OhYQMkSF7fMtlbmE74Be1xsviCF27qL71o3ryEu7m2rm4KMkNku3dc25cChFPNd1p3vXaubAtMF2Xo56ryeWQcOp5hv0U21+jKXW69WX\/b2GJSTB61PUUiguqGQQHVDIYHqhkIC1Q2FBKobCglUNxQSqG4oJFDdUEiguqGQ8P\/pI\/buFbwS9wAAAABJRU5ErkJggg==\" \/><\/p>\n<p><strong>Fan Law Application<\/strong><\/p>\n<p>During a product&#8217;s life cycle a redesign may be carried out which replaces older components with new, higher powered ones. Due to the resulting higher heat flux, increased cooling is often needed to maintain adequate junction temperatures and reduce temperature rise within the system.<\/p>\n<p>Consider for example a telecom chassis using a single 120 mm fan for cooling. The maximum acceptable temperature rise in the box is 15\u00b0C. The chassis dissipates 800 W, but a board redesign will increase the power to 1200 W. The current 120 mm fan produces a 3\u00b3\/min flow rate at 3000 RPM using 8 W of power. How do we calculate the requirements of a substitute fan for the higher powered system?<\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"data:image\/png;base64,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\" \/><\/p>\n<p>Next, calculate the change in RPM needed:<\/p>\n<p><img decoding=\"async\" alt=\"\" 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\" \/><\/p>\n<p>Thus, to meet this example&#8217;s cooling requirement for 1200 W, a fan is needed with a 4\u00b3\/min flow rate, 4,000 RPM speed and 18.9 W of power. Note that the system power, flow rate and fan RPM all increased in a linear fashion from those in the original system. However, the fan power increased by nearly a factor of three.<\/p>\n<p><strong>Summary<\/strong><\/p>\n<p>Bulk testing of electronics chassis provides the relationship between air flow and pressure drop and determines the fan performance needed to cool a given power load. The fan rating is often a misunderstood issue and published ratings can be somewhat misleading. Knowledge of fan performance curves, and how they are obtained, allows for a more informed decision when selecting a fan. Continued and ever shortening product design cycles demand a &#8220;get it right the first time&#8221;\u009d approach. The upfront use of system curves, fan curves and fan laws can help meet this goal.<\/p>\n<p><em><strong>References:<\/strong><\/em><br \/>\n<em>1. Ellison, G., Fan Cooled Enclosure Analysis Using a First Order Method, Electronics Cooling, October 1995.<\/em><br \/>\n<em>2. Daly, W., Practical Guide to Fan Engineering, Woods of Colchester, Ltd, 1992.<\/em><br \/>\n<em>3. Turner, M., All You Need to Know About Fans, Electronics Cooling, May 1996.<\/em><br \/>\n<em>4. Certified Ratings Program &#8211; Product Rating Manual for Fan Air Performance, AMCA 211-05 (Rev. 9\/07).<\/em><\/p>\n<p><em><strong>This article was first published in Qpedia. To buy the complete Qpedia book set, please visit: <a href=\"http:\/\/www.qats.com\/eShop\/Qpedia\">http:\/\/www.qats.com\/eShop\/Qpedia<\/a><\/strong><\/em><\/p>\n<p><em><strong>To learn more about Fan Characterization and the FCM-100, please visit: <a href=\"http:\/\/www.qats.com\/Products\/Specialty-Instruments\/Fan-Characterization\">http:\/\/www.qats.com\/Products\/Specialty-Instruments\/Fan-Characterization<\/a><\/strong><\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In today&#8217;s electronics industry, there is a constant and well documented push to higher powered components, tighter grouping of devices, and overall increased system thermal dissipation. The higher dissipation must be managed effectively to ensure long term reliability of the &hellip; <a href=\"https:\/\/www.qats.com\/cms\/2013\/07\/24\/how-to-use-fan-curves-and-laws-in-thermal-design\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[315,428,664,92,569,570,572,677],"class_list":["post-4519","post","type-post","status-publish","format-standard","hentry","category-fan","tag-education","tag-engineering-formulas","tag-fan","tag-fan-characterization","tag-fan-curve","tag-fan-law","tag-fan-test","tag-heat-transfer"],"_links":{"self":[{"href":"https:\/\/www.qats.com\/cms\/wp-json\/wp\/v2\/posts\/4519","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.qats.com\/cms\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.qats.com\/cms\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.qats.com\/cms\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.qats.com\/cms\/wp-json\/wp\/v2\/comments?post=4519"}],"version-history":[{"count":0,"href":"https:\/\/www.qats.com\/cms\/wp-json\/wp\/v2\/posts\/4519\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.qats.com\/cms\/wp-json\/wp\/v2\/media?parent=4519"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.qats.com\/cms\/wp-json\/wp\/v2\/categories?post=4519"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.qats.com\/cms\/wp-json\/wp\/v2\/tags?post=4519"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}