{"id":161498,"date":"2023-10-28T13:35:09","date_gmt":"2023-10-28T08:05:09","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=161498"},"modified":"2023-10-28T13:35:26","modified_gmt":"2023-10-28T08:05:26","slug":"air-is-held-inside-a-non-insulated-cylinder-using-a-piston-mass-m25-kg-and-area-a100-cm2-and","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/air-is-held-inside-a-non-insulated-cylinder-using-a-piston-mass-m25-kg-and-area-a100-cm2-and\/","title":{"rendered":"Air is held inside a non-insulated cylinder using a piston (mass M=25 kg and area A=100 cm2) and"},"content":{"rendered":"\n<p>Q. Air is held inside a non-insulated cylinder using a piston (mass M=25 kg and area A=100 cm<sup>2<\/sup>) and stoppers (of negligible area), as shown in the figure. The initial pressure <em>P<sub>i<\/sub> <\/em>and temperature <em>T<sub>i<\/sub> <\/em>of air inside the cylinder are 200 kPa and 400\u00b0C, respectively. The ambient pressure <em>P<\/em>\u00a5\u00a0and temperature <em>T<\/em>\u00a5\u00a0are 100 kPa and 27\u00b0C, respectively. The temperature of the air inside the cylinder (\u00b0C) at which the piston will begin to move is\u00a0<\/p>\n\n\n\n<p><img decoding=\"async\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXUAAAFDCAMAAAGFB17cAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf\/\/\/+\/v7+bm5vf3962trQAAAKWlpd7e3rW1tRAICCEhIWtzcxkZGc7Ozr21vZScnCkhKTo6OtbOzjpCOoR7hHt7e8XFxWtjYzExMVJSSoyEjJSMlEJCSlpjWlJSWgAICK1atRla5kpaGXtatRlatXsZEFre5hDe5ualpVrerRDerRneWhneEK1a5kpa5q21c3ta5kpatXu1c61aEHtaEBlaQq2U7+ZS7+bereYZ7+aM762UxeYQUuYQGealWualEOYQjK1Cc60ZQntCc3sZQkreWkreEHve5jHe5ualxXverTHerRneexneMa3mc0oxe0qta0qtITFae3vmc61aQua973taQubWWubWEOYQvRlCEOZzUuYxUuYxGa295uZzGeale+alMeYxjOZzjOZSUuZSGeZSjEree0reMa2MQnuMQq2MEHuMEFqM5hCM5lqMrRCMrRkQaxmMWhmMEK3m7+ZzvRkIMebWe1JahK2Ec63vpebWMeYxva0ptRkp5hljEEopGXsptRkptUoZQq3mzuZSva3Opa0ItRkI5koIGXsItRkItbVjc4xjc0oQa0qMWkqMEBBaa63vQq2tQq0p5kop5nutQnvvQq2tEHutEK3vEHsp5koptXvvEK0QhK0pEHsQhK3OQq0I5koI5nvOQq3OEHsI5koItXvOEK0QY60IEHsQY1qt5hCt5lqtrRCtrRkQjBmMexmMMXuM5jGM5nuMrTGMrRkxaxmtWhmtEEoQjEqMe0qMMRBajHut5jGt5nutrTGtrRkxjBmtexmtMeb3lOb3Geb31ub3WhAhOrWMnEpaOhAxQu\/ezqW1nCkhCAghCGtjhGuEaykhQkJjSu\/e97WlnFpjStbe75yMrSEICHuMa6W9xXOEhL2Urdbv71I6Qr21pYyEcxkIAAghGZy1td73\/\/fe3lpCSt73987ezjExQlJCOvfv9\/fv5tbmzmtjc3t7a4SMhKWllM7e3pytrTo6Sv\/39+\/v3gAIAObe3sW1xf\/3\/+bm3vf\/9wAAANT+7zIAAAEAdFJOU\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM\/AACLPklEQVR4XuW9a1PjOhM1alUJVHGwHQiOheN4\/u35c1QdPqXeMEClMjsfppgKt8AmOxDXWaslh4TbMAN7D+d5G2LLurm11Gq1ZFkOVkn5888pTnk0wVQhTbT7WkIJS44DZVSsVVEEUx3Hkfg+l6yQ49UkngaBvu1lzSDYnExL8X0x\/r04SVUVTAJ173xezh9hYYxjqrITlWnn9Wr8Co6oY4LsIRrL\/oTKFMSsdRBXk8QgWk5\/el9WdK1TbwMkaK4TvTe8e5Vei\/\/Fu1fpV\/O\/bDC+qh4To\/\/j46xSkYBu8vTk6Gh39yg\/weFo9+QoP6S\/j7NK37Wn0J5kYSO8KfRx6L30MzWwjG\/DvLOFZDpNQ715CJ9NHYTBLuKcUhSNS1vAezPRm9OeThKr9d221tnNpp7ebN4gfrxbmJPJLMjPA1cZ23qThNzwY1r86QQXvJYYkCccTSQXQaECVamaJjzgMg3grGYI9yWYVD7\/QmJXwXeka4blQqEdBCqSpAuJsU4Fc4RkhRC4rGeDqGu62rg7QZhQ1HXy8Rl8hrsLQzUhPv7Xycd\/lhDZl\/KB3hM\/DIqe+uIvQC\/ER+kcJaVNE1wthu56Jb6HVSP+cMYkZjZsKo38QzOcDWczeLr4OAehtdA3cM4lfn\/Ie+DYHw7mfbXozxSi9yV+FcRWhbYHhRGp\/wN++rMhQ4fD2aAPB5wLyX2uZhJf5OwWdegquFCDoeQ4WEjkWR85L+ZwGYkvrFMpTRgb8WeLYX\/W7w\/niDXsq3kfGQ+YbOjjr1OBcNXHPdQCd0HmA\/C2cJlcPxcfdyZEQ\/yBZ0ZWc5Ro1h\/Mzp+LP1Tz2WI+sEaVdti5VUXX\/OiyLH31XP7fF8ByvjAmTqP+2Z1SxblRzVjwOQ2M6LpVKmZzNZj1AeEATdTszCswZhaCK8prfbQlFWgh88VgEUWM3VdnxAWlMMiGNeqjLamYm8UcEWaRCtWe7Zn0LgY4CmwOkf8TKmaDAaRgoDp5ZUprr2Jju8iCIgR8nlCBnGbGzGd9cGXmZj5XBtSf8+jjrFJhhgAHdQ\/szYI1axQYNDPc4UnjBSVhq9UKWyEIB\/cfWrm2oY\/zhFZReILIc5RKParuIkWXvfukUp+QtkFFtI9UVczj8Z1L8dytDHtaiBn0cKXK22mw11ZBwg4QWMhxnSSnW3Gi32ajwM\/136p85gY7\/pxmuH0U7h0kqTMGXoj\/ULb7KpqUlapy3\/KC6rn47Jdd9wib5HCK5BVlOKY3+vonxH7wmX6zS+9nutlX47PvekwvxE\/o\/WL+E99JP1Dy5YX4U\/bLJ0cnJ76rlj4b\/TW9nzReUCydLyhMk23dsGGxMfI+2tlCVIUPwNbx43GqyzzT02mI3njz5kbrw16QXJogDdn\/+e46iNnt6qn02lanukj36\/w3e9D3aREFVXSaOysqCI4ZU\/prieIP7r937w0s9LfaiWBwLX3jRP5AFY6VukQMOMoKfTv8Vw3IiDEnCnKgiiqYZiroR4MMKSeV2qslaYXQk5PGDWsrdfadl\/OO80P8pzXg48M8cLgpMVycZ1m9GP9Z2qtgHT+itfjU\/w\/d6+zZ+OhSPN0foG9ZNSBK9Vr+\/fY0GE4LJb0pe51lfFe1OML8jRbssdjbqmiQsFMUN3qkxWBPNRHi2jEcPwxs\/kg6BnDt+Joj8kyxD1SLQQn+s8A2WL\/ZnlUW6RBfOl5wwTjiHAzR96G3Z3nvkCezn0DpIBn476N7WAzm7PWQAj0T+YFzMAc\/oo6E+Xvnilg4WA1mQYZ4E9wD3em8PzPP4jkb9tn7I+oCPW9\/weg4zAZDQ\/4fU6TQk7O3mqFTlN4aRFMFHcez8WfgXGmlOkaNTCs0ClZ2jv4LPVMZPJWfzsLM+0OtOlnSTBahVd3caHTX6N8R\/6lG7MxRstnE6IGB4crqAjRnLER\/VgZPNRPqF9EG7A0RF+0a3bYZoJOcg\/+n5kMQw06CraNiZW1bmZGJURAWeG6Gz7YvgjNfzDTrGlZ+bFSl0a0OBgOz75v7KkXDPnrggZmxBzYDdtbyQyaD\/WfzH\/T78\/lg0IdjRvN8gbQwQGZqvu\/jrJJttazrrnFEz+0cdIdh\/gw\/61TbL5RI7+KZh1Ul+jukJldBMPbuuK3i6PzOBj\/YC0cYyBT30dPK+CnZFRPnyrEaFzYONCQw0EXQhkFYKj2rguh7fufiCdV99OtUwML0JIV3+PGImuJJcKlpqaRhaHjX64SuwxMzedDxuPQ1xQ4Al\/g9iAb6h\/2Vu75MD9k7UmLNKhOG5QTtIri8N2mADmQ9L3Qu5Zuy34eqdS53Uve2CvKEF6cJ+sR+hUEm+tIHLFyhVLFa1Bep94UmAimtGL\/CbXCGohSOcW\/6+Ht7gwX0ZePI+7xOMu8g9JwV8oTEvhF6U\/Qg87EZv2bxFXpP9l5UXqManLdmD3A4zQLK31JVq9k\/o8KeUNGhWeRopI9xiOUIq0zTgeDjmAcfp6ZRD60EFS\/VLqg+C+33pU1Ykz3W\/3T1Fz3KdU\/rg3h0ocPt2PrQmo6RfQozQCwz01RBN0dreTKI2o+nMiUDg26Kf5h7zChNvh7HNilHuoX7JTa24SbjOWMwYf7I3hZBsstmU5k0ya2qolGu4vN0BWVwXyeE1UnDk\/e40dMb5HJzyLxw281DHpApLFdETmhdcrQaBhR\/1ehld0c2uI9MT9ky6busSXtWuoSvW1tbIX7jcbg1xmlr3GjgDG\/64hji3241whC+CD5o9NDcMFoJKmmNVFcwOUX2JivcFxiloIoYE4pEKY3+eQITD8MkHSjdhx9nWmHHBTAmEQ8R8afQF79JcmjeIY1QoMIgUd2rroLVlSq7r6LOQGXJqU2+p2IdMGexGBe\/kL0QE16cKb0DR1BlQWh6d8dtZNmcRt\/mmjbBCoH7KkjroeCL9JD9r5HZY\/Y\/7R6LyAPzizQg9803ZO\/jr9GkX2oTlDtpoxE+Xzzh\/k3ZO5N6jUwcZ0ZtD7PIxC0ZLqxRH+2TVfsoe7YwT3Tx95R72FIz1VZBCMO+CTM1H4ilPYP5RzuL81Ogp9lrVR35G8DG4AlDP2TP\/Gaw1SQZrGbkJfXByb2ZGp7RiEecIexXdwNQf+DAUUEUo0Fr2MphZQOY1VlkO40gKdyEvgcHY4GhGhoeYLzDhpWm5Kx5jGJgEsJshvHZR8awjTFQ8dgrUxRkdQIFkSZWqQxml70MelomuJg9EvYXSG6GBAAXgz5nMmeL2XwwmwEMGcPAk1N9HMTgjsie4KD9dwxuJMS5RDoxXqu9io7wORiA574CzDhxWhEo9HHFYQjGFUCFti6hmw0GM85jSbN6o+RgCEMeDUx1MLog1I7ANEKGLIKM9GS6jzd9u2AitkxzKj9y4gwscJKh2hwDr7mbiR3MAQ5CeWuY\/29tVhy8QCxg2M+1LTB0QnpdTlXZU\/H3u5nqBTNt24kUj9OAQgQneEv2d4AUAwiZ70t6ZWFQKQt1nWVqnpcYos6KNhy9dqc6jUXmh3MMZ\/rnHFy8DRwQa29orqK5mlK9\/2Mx+A1naS8x871ZeBUNhnGRxVLDGDdCTnf2ICFfNh7a6fP0PULbwXgJo55Bn8OkOTjEYAjFd1WMwVN\/jtETB6cYFw0gZ4hhULVsQi6Tl6mIINkcOM8GGGzPF3qaxBTV+bwxyaL2rEhNL53ZTnqHW7tp\/DluNLwG9mjcPpcXCVXLqVVHqIGBjoxOT9JppzShAjgqm0PBoQxAhBEx6u+bGcHxLedVKiLTBxQcAPeRB0Can31jQ8PQdj4yg05Ehgf6nDU656Q8B7aA8a3ZS0vCuH02N4PZYMjxKto8FQI8OZ5GxvBaYGBtFnMMSqkqDLj\/KTKgv2OHy6\/SafkW5n+F3sLta\/TQ29AmYX5y8NfvzD3N6qeUKkDbypVKqMhho2ZZ193lV2klEarqysNZokMI7LWJYPDC7rXBZNf1br9IKwW2pwUymyxoQ1vVDsokmKA03e\/KRlm09\/Thyk\/p4YlDFfBJp1K3rTb7cIz02zdQmxDbDPfCKbd1QRFr\/KZq2PJnEp8N3B3H6MPJey\/JVFkik1yfkmsbN+oMcR6\/JfNg\/AA8Hd4epUEsk63wkHCaxjg+2NThm+T9az2oXs4dkO5hjCM75zOZVPcKt1kx19+ae8OfmT3y81nydw+2K7nmAT9XOk9vzX0lCUhfFinU6yQYBuFJnvRCddM8C5Mn4hKuJ3uBGusFBkEM74MsbBk+xg7SIDXZM+30rbmvU4Xccb9zzmZZjBxYHThTjNborbXqSXQKgU+CaRdtaKIayJSI3McJJ3FWqarn2X5CdleeLqXpNyk+2L5W5joKJibQXc3GdH9\/2+lde1Z95DS1btz3E2rX8zchhJAe99U9bsGnFyiM7z0rDObEEYQ+9gZGxc7nVSo2fPZQCeulf5asi4zc64UPr9Jq7m+I\/pD7m3hv17MrLz5AXaOH3CfSvn5CxUrujyX\/GVrh\/Vdz\/zVkJm+I\/tvIvEkiH6KL4P2EVnH3GbxKRT1h+cu1+nNLEtGTLh+B4pgfpUe7R+kJGu\/J7sm3k8eOo92T3V2JSyr5+PCn1OD81BpxFVycHMduOo4TczKHJbN0Sxqhp\/XYvHaXrUczebEOw1AfxGGrSOyGjW3bxnlvM\/PBS2pJX1bnTBXl1eAaPeW91Hk3vMlGRzoO4908iRt5O3mSe4ieK8UYRzLJcoUCBrJca40e5T6d6kZYHG\/po7\/D0SjUaRLrRlc3mrGb6NObevPwBufWJDBFYKCIYTSoSMGe4Px7FOjVMmxNmQwJp\/xjBk2k\/ZomupfE482bUusiv0pCzUk+RJUpP0Rl7lGU09JGZkUQXjUnQdEODmAHPeTemB5ucooSqcD3pj7Uu\/iV8Z5Ntc42dWq\/o9BJiZrd3Dx096cDfZOp9ssy+F5mVVipRQCtaXGXtccmDeFIftPNG5xu5Cb6JqG0cDZjeqw3RzF4h6fkjUj6BrhHUXYqDxnKsjQ2z++DVlCOmqt96RYXuW2y2CAW2p+YS02SpWQrVxIByHgSwcePA7UqyIDMQzNuhOFX\/nGmk9ObftJz64AzoeFWOEbImB5jToR+5aVEC71d5sWSSgc6WWyHlUY8PoMX7BeOjDkHNKkmfDyPng+eMMhcACnJMV5jZIkNi6O6Z8ZiRwm3Eij3WhJsWWYpOYOiMzlhgKoiDMY1x68cBKozw0divCuPajJ+i4oMGkrdc+6WrCJVkc7IYPxlcheltxYCYCAbCDAm7chY2\/FRvc1aksV2zBdphrNAh4HO82tVTopgGOcKmrMdHRSjVqeFOKw5oQmE0GfwKoH3Jc1VWbTiXhjG6jsqH43FwGRvo5VUGOb4SI4msN+rJ4bcE1rNXdH02mLlDMsq0mXw1eSzyg4OCgRQoT9UseP9Lbkv0xg1WcxvRTBUZVD9XOpEIbslIuJGgIDjcP9F3t9MlYxsfpr7Vx\/9V+nNyPwWvRuZIKgnnKU9rdPbeH8emfsqRJ2Ww41GgwOPZ+htuW\/52I8o\/4ZhaznDCD6Hg5OLj0g0wRt4H3Lqev1PIV2oZlzWGllcclZ1lXC3n\/DOWsGBvD9hbTawSThYlOpHPObE4oxzrF7L4MD4T2qV9bRUkHJx1SPvjzOf9VVp1GnWL9lmNrwncx1CWfRnMtv9TO4qlkfakrc8C0wgM4uFrBClfFA2uJxTQanc\/qUynnVZZ95HtpyRFn4kdy6CRyLmbBrmVleaLsnGmKBpkDuK3EfBOWXraD4c4A7QAmf4Q0aI7KayuQ7H3WgFd6saCz29C2LTUUF5jwzL6O5S5ZzZwQXn9j3LLMCsz8nrgPeXbCTPGRf98JkCUexzkROUHXm\/x3DZ3o3DNIjn7m2DXqC5kmY6NsFt0OhzvdJMpviRIzNFXjIhDlkazpYlGrIAkK\/5nA8FHnAvUzd0jaOg5Kg2g\/F0l6iiy7ncBtcJI0PmzoqDi1yCV2THapR7EztGwb34HACukOs5kXtVqrbk7mwD6WKr4Ay4CXReZnDoz\/tDAwwIjrvZbNZf9MnpAJEMhQVnPqhAa7pFauSuqrge54pq5uBLFiuIySB6RkBdDOd8\/sOMccnnIKxLYZTPWRwTvDJ82lDXqsyvrFLlB3dyHPeHC64HB5PE3mXBxzYUIycrcy4nY3NC\/fIkcWCLSe6vUwOMMPqc2AL4hZHHTayC\/tzgtggFNgRd6h\/ENvVGDQwdKWvG2E74+ERggsiw\/uYy6Y6c+XRnTqAomHyC9oDM6wSLA4mRbCG1iTsYrp2nYPRn86E8ruNTiQWXgC8gRyKsb82dbXUuMmL4ZAK48PkWKpe5E6u51OdMigfpR2XL4523IdNAHnwgZoAIcubCtznqmMiwLoE9IGEjEi5YCWjVuMsbcwdbSLwA9sPA2owWpFFldtvZiyYXGS4So2wBVcY1jyjVgv9DIAORe0PuC1TifEFIFXqKRMXRjlZVEg4PdGRiNcyjqFCqp5p3qFnwQfl9O+7DwXCwmAvgjSyUVRpDY9Xeop0adTTcSVN10LMmCRAGqRn0KbRvRYZPeZCszzbDF0bitJepcHEfmsYU2n1mskIVqAIbt+SJFPUaZJO56y\/xurn+hJzFIZLO3A3n9FVatJK8SM5a9t6YZKQLA9TKcC7wDfnITI2hSL5upMs3NZ6nxszMzWKItk+pNoOZBkK4yRzlMWbCp0Xmmk+l2KNAYOVhMWKEMC3jDVGIr1ADzdFw\/eLM8C0Cw8du8748tcU9uDSRd0HDZaPiOwngm2UlMpPnXudaowalGNEJPpe0Gr5jgWtoMC6QHEZnJoKTt5hDdhdc1SkSScCTVxkHARnfbrhmdH7aCd1jaXOSzsteVEbt40WcXN7BNoOOxu24ABfyhdx\/ljWoIU\/vZFUnoSCgA922+anO9bnKrPmumuqAL+OIqEA3zICgt8V+Sg3C7gl1tzChGsVpHhemGZ+fNlvIHc3eqGjCFaV8KDefz6HoBJmfEjQB3zkhoFQHcxPOkkGlTHTcM0msLS2+eapv2ZTQtw\/7w\/kAILre46fUgBTClqHRAVGBRqcyWIjDnN6hOcn7SxE0Ap9qSy+CCugT9zcQW5MZoEeW58BcVqt24IPmDgIWxG0wVwNcL2S9hAH3qFbRMz8l6HfkOl8gC6SGWmC2fNCP9uWyn0OHDvoDruogKIZPQIH723JHVMQfsEb5lBX6Bm0FUj2nbFBShrw7QhBkuEgbygZNrnX7RokEIe9foh3ztlotQsv3glr1y0Cglne2eKJLfv7lIRdsWz\/eNEP+HMGSEiOcrnWSEBrUEu6v3NldCEnSP0OrrDzi4iGAFw8x1riVUv05UkHSSNNs266sIwSpICoLE1RpgT9VZdvTNqwG+BfyLsyokWVZYe\/+K9bljZ1n7nVV0PxvpxJ4m4fW2jBWOpnaWaALKPdiGnNCaJtPu1WZB720Glkuk2nnKutl9tHTtSWJwH0MRXx94DGBg6RhbXFxzPrHf3RzHB+PWE7dUre6raqqSNKeCvoFFwmcZY0NrrNstGG16SpQ+qo5jvwwYZ0UXz\/6IO7LBo2vtczkGdsVsKV\/56qbd6F6Rc3DR1sIThEHdzY6t1EQ8wWqQGW7lU0lTGGMm1g1iewTHuUKdhEO6wG\/S0UDgD0BSAWxnovLjKLRatVEicKQLulxSqDKL7oMqqrjOKiSHdahvN2vszTSKNQTFlHMUN4l8tfvo6LxdH0Tc+ZEInUsR6HiSZI5ZPiKJ0O9tuTyAIwkJeb9BP8SDVEYZ5WEd3g+ZPkeKhrnj7OSG+O+E1lfPHFLCUg1J8TTrTTgBRKAV06+I0DWHMKrXnnIGEvijLrj\/WPoOdzXKLm4SNO0GfPZGDhCccBfFXXpEyf6Jo6VOcyHNLh3szxCnFdIBTO+rvFB9FPeQaXoQSLpIFMB32iNZSr4uq2DXEc9pcM7hF+216F+RMR9D5k8p4F+nb43rpnlywQBKfQZRQjxbk\/vMMqEjRZUi\/YuKuAO5jFXqqvAyhJ5aREvEQPB+6ul+xVyuK+JIPLGPfwF6XtC8ZaHAGVoQ9seBFF4yTjDFhQMxASxL\/aZLMIocIW4rKLOm25Eae2v3+0dZMPnZGa1kVVB+xAqRCfp3Q1Ahs8kKDd6JWfwcsvel2pFVbthc3e\/dfczxkJ5yvgh7Gd23NgKw8Yqrb0C42ElKVnHBI1CP+8JJpwiwoEKRiaAl5TYr1+\/hmPJ9St+W+PQvrrXzC9RVmzwdaZVGpN3D8w9O9n6ZuK3xrU4hDz\/TjcuKVmuP1iSTan312L9LvW2kZ9fyuEpfNurR2+h7nO8s3wfgv1LvPv3Xt5JL\/L+IZS9xPuH5P+szPxkPurtlLWR33My82\/yfv8xyEhbfY73j5CZ2xdx\/xB5fwn3jxHJF\/TMB2nJXnujARX5pbH8+yI6koRbvPPf8Y48H2gb+v2D2mpZtAtP+995wO97sfXlC7sTHFgc\/i8v3+hD55fGdmGZMzNeUhcS8yFKLCjCjo51HB+7\/xGOo85xR49GsSM6MFj1VyRx18GSTi5cJP\/zwVwh5oNx5PmOMvNB9L3hVqON+ILp0rni0qM4+XZ1snvVmer8+LhzlTavuKzp5Ooqv5JVcM1mEk\/16AiJ4mm+\/rrpMfJY8zm2HPO5x3Vu1EUuxH7iTzYNEq83UNFYeXX2OQJDNgOzWajzRjIKs5s4CXudJCktRh6jvy24TVuXo6tGI4\/jrPWT7HTYc9q9nuuoT\/6\/Pjuv16lorAP1mDA00kU5TfLSknedhbZMga\/WF0yZNrqMlYRXeZjY\/U72+PXdx3RsM\/IejWF7q6C7kdd8xuGV3ssCZYusPGIZOvZno6JyTN5lLZojXq38k2w5zfNEb+bhtNvV8SgvCn037YWIkIaQlxudt3Lwrou2492nI7mldyhd7edwN+EVZCfOikRlnEa1kTKToNNS2nbL5Iw973FjbtpThZouxijhM7VQQN4PZZmeEF8k5hvGU33IA+4Zb26GPbnrZgrcQ5ulZZjFSdwLD1EnaViku9thHh+Bd51+ablq9LnJv+SDUiRTOjzvdtbLVblT5hj03iAj8Gbapax9CKItWNIqCg8sRpbtUxVkvnYeUdHgDUC8F9+KBoHjKQrAq5sbnBhMAvQJdNLNNJ4Cxs1D4JmA4cPDWCeHFC7E3ExYavJ8cyhLEl0x+J61u5Gb7DOhmrfBUu8kOMOA7LYKzEEyR0iWq8q9+hGPTRxGA3ujzPfnX\/Hfb8TJMbiQGxzKaUl+2afckgTcDsEqnYf6BsFcTymw8ohSJiw0o3kQSFzYKedDwn5I3KFjZjeDYJCAQT6HZEVwqjM5mZrgNN\/tgFEVLBJVzRIVxd147wWZCdOjq+7Vbn7yLc9P8nxX\/k7Sk6N892h3Nz86yU+OcNrN86P82y6uEE0ujnIexQPX8ON\/nqdImDIP0EmansB1xBxAyC6\/cjIjw27qGnSysG9QGvDm12r4Xldm1RS65oOie8vgJ1SEOopOO9Ea7fjzkrwHTk+CHughKL5Joh3jL9apsweL4\/5exmNgTdGiJF9uKi24l3XvuOCwEh0wysZjcH\/7DPNFQ96nlMWiyIluda\/u4UC5F3yxXk34cFHIMBpOSIeTBw7EaH15BsknjRiXm6A0AE4mBuXocp6oySLknjaE\/v20L0u2HAnDVXW\/LIRS2RcGu8UV1e3ZoEgnatYrelareW+\/tBRXWbTqykeIBmqo8ksixzlhEmdHfIbkHcgS3PcTcGe2FedDVxdvngmsaU+HwDnPLi+a36JZ2t27DFQTqmzHdrIsqKKWdOLQ01mi8jQr8mSv0FFeprsoDKvF5Vkhb4f8QuaBP4x35vkMQeh0aNRum5uJeeCqMptU7Vyp69ZxkdyraBxDtLQ1wZk5hSZbtG+CCIkA\/TLNGlXG4Y7Gma9uv\/NbVPPu+Vu52ySIWsdxFBWZOoVqj\/VCDYIyq1S+Hww74eKoDExsZ4BX8+FNHhddpawOZFWi4\/0ZMoI75T19w0zo6\/Qi7qjwFMyoW1Mc48QtGdEac2B+e\/PDQmxUbMPUiXlUhoWumtPApHEQNbkyYUkPYkiaONwxZL1v\/nu8e5WxQn36rLHiOK+bZF1nTyXlgcB7\/ezgX8T9X6IHmfkA3L9GrwL1wUSZAe\/E\/WNkZl0kf0IUZRF9R3zD3rlWZPwVcjLzcbi\/nUwwdO84kHcarKY\/OEO\/BLXyomZZpwd5\/6C2ymWXb6HhmTkYl8J6e1+pXpjk02k2bteV8Ab6UB1J3GVBz88JJkq7nDdS9KXzdqlMZrkYbHKzMRKV9KZcfN+EO7+OO2vmZ4SxtuRJLl4nLuZthosgbiSTgSl6fZV+4XKXccGNDEkPzHOdr79aOhw98P4K7hBHOT6iFQ99hQunIykzK7egDDz+sTFOv1iLsWVDT87Iey\/ETXSjJ6Gg1Vy4ahF4cI0sHHRzae38Dbw7xp\/QmnccBNs177LEF\/TAv2NXznWgihopjCk1KMNzjC0h7+j9Z8oUXyJDoRmg3ch6MvCMf8+yKwZJauDnMqNyBkzbu8Xq+28kDFz5tBRU5Xx10LVVWa1MkGT9\/HyFcQZwKSNh72BEzDCjI3XcMSritpFG9eOpiwxJmc3mXA\/X74PxIffrRAoucicEvI9vq4RwiXtu97Iiinu9ZjObVhjiFRHG4jDUYKneqyDtfQ+\/T8sx9JO+hCFS2FxlZS+reedaYvwPhmR1Jua6IZN0gMSXAHoPDOYJNNiGikSh7h1viLJARAjHHHGRC1fLz2YDWXftUhJ3ML7U73CnWXCrSl0hAa5hlnYgipr7OIB3DAO44XGRBGc2ukWhmmESMx5LX2x5mZkNjOwLA3b6BMxw41G5G2EEeGrg+AXH3JeMO8bIBjAEWiL257JQBT+xfJziHTCOkBMdJzO8c807dyeYtTR6Cy7eC+7Bu7lVnFiCUcoS9ALufxFYo5uBmt4GZ1uaQqcEd25Dg1tzMxfyye3XZVcg4chLE7WM28kIsfuykHQo29GQkJxMS635FGrA1LJRlCuQlAQ1t2bPEMGgP02MfG\/CUWW6fDyeN48WCEQVjPBD1K6ZniJ6ku7GTA4Smem7puZuBCellS+QgBm5s7TWvkgvrrkGn+tHeSEeXMiOsjET9\/LAwHA9MRsudyKiNMGX8Z\/yrgKT7Wf2RoQAJICKu6ogPxiSiw\/kXp7zuHcy6AKBd3kJRuSTdwDf8toCcAKzM\/7IDmpBNvPqD7jvL5cPL3gpBJHmWyFgkbkQYe5kRYdb+A8U5FUJkTjhnTdvbkUyOyD759V7QpNobfBExuni+\/73y0dU90gkZavl3b3qwSXdIOIlNcxXV+ii+HKlK7QKywEf\/JMXUU9SG1xWzkLgn\/mIE8Wl6PFfahCpyDvlfdlW30WFzBP0ASPaGrkhOFTMvDmlZD7nqm4yJcWQ0vXnaNEiCkOpKKcMwTbi8P0L6kfyzAXnkDFGFY+Z4A7eCdwH8N6InALgbwgwDRmgkKIIkHEyxFcZwL6sfRfRlwqCIgRLMIER123RBsYZgW\/t9Cls9GKh6e0I\/SpsuQ\/DXeyZId+GwY3AzGIxp0SLxodgDCnJfGGIb4WwDOzHWFDEQ9EM1BrCCTH8WSlQQnOICKUJOUAYmYavCDHaQJ1v7YP3D8OdWA35WQm+hzIbUpUPyRHrHnwuZlD1LAC8WBaRYnQFHHyzUfJTBywsPFFnszlKMBwgGnQtKwpNHHYMRQkB4H29b3oXEXdqdCemUOHUfRAEjCdwKW9joe1ShkRawPAA\/SQCySd9pU2IeAyp0lFoFJR1Jt0zy8BApMAVaCfcu\/1Q3D2Rm5nrdtACzZBrxYkceKSkwhiBoYAeVzbPVwGPAjl8+SIKojtLwgTcM4wV5xQNiWvr59xcTHQk6WN45xs8ouSgPfgCALlfqGSs9bQM5VV5sq6iMI+\/hZFqZ3H2o5oV2V1PvvtiWl1zr1Q3vEmmMLDQyCuCDba5SF+W1pN7yCLE7vyDeQeyC2SMBgWVQxripirBOAO2Ra7m3bAFsz1XZqI6VneLMzX7MU32gWuRc1\/M4soUWdDlfFhsc1PY7t\/tHZpjswUaCKFHTaL2KEkPuH\/ImI+NccGXFwzf\/6Kqwd2GqttI06NkR8VxXGagWC0imw1Vytdlt6+uvkMtFSjZBAb8QRKYzUYzTZNz8J+1i0aM7ETsQcI8iLonEh1JiU8bGDu+a62LyIy7CQ5UcBRQ3g843kNoTQLAefsqCjMTRSpuxZVumchqxbnW\/mKn1T1vZ6pbmDOYObO0UNW0EUvT5ldiaI0OgM7M8D6ub8KgjQsNZDElnxL\/HkHPzPixGb4C4wx3cg65V+ZOnKoLbBlgok4n7shu9fHdGeQjimLaCmZ416nOYrO4A4NoycNInqIgkwU80ECRGfcShOwDhNNaZnobjTGNx3fiDsI93I3QsNi6qORR6W7AQ9WCC\/xDdUI5uo6YNhA8ccARbKE4aOc0D5iQmgVZstSQRqlXvvKorj3uQRRyBPl+3nGP+bw\/GDiLigRVA61OnYh\/\/NxRGjLI88x\/HCjZO3xkczswKBDKgZ4V\/uzhCAN6PJcl7UrBnRu7Ycwhiy3fQcK7WFQwGmF3u36IcEk5YhvabRuWHcSh4M7mUNFZMjFR2S5jNdzJbO\/OmDxLoVmnRWFLjGlhHg8wLkE\/Bv3VHw4GfC2KL2HxVSyxI4VqU\/a3CbzzBVgOKOT1LtTwHLeeG1xAUHF7He6I0MR3kPdopuK2TVTU6gyVTeIwMgtc7sVlZMomu9Uir9hFUZ\/TTALLAyAPTIiKmT3oSHkG+S4C72io0oF4SRc5BeOEHbTQLbaIa4ZH19EwS9X+CcbCp8C\/mdvFcFCkjGcOUQ5UDsayIkme0FLR8WFs4iXNbNX2zPup+Ao9Qx3Al41hIIJvw3eRqeZZkqHR6EpvOx1dfN8viiQP22EjzCMLwMv0zhpzvpfz9UEVWSgkM7xESWAjAIY+tSK6DNnqlfsF00yLlmPt9xN1JATRmYBQI1QvMB\/J9gI3hazqg85itpnAusE\/EZ2Vu0pNrbWZUom1Ye4MYTPI4NfIgTJfKYTBC6WFfg4qC7n1+cU15B4t57DfT2yrbIRgEoNtUehoYGhnsAyoODEwRXMYapg1lCU2DdF9KAU6MgTS5qdmRQjSEmk44cF\/5IEA5Mx2u0CZ5rPzcf3s4P1E3gd8Q1JeYJSPwfCNyj7YBFLAixMwrAs2X+4uixiwD8EZdSXKLA4ofWip4RBWC9jHKI8si3ZEar6Aj1hSHzPoSNz1HUp9hcg7lAkxAmOkmVkAKUI8wB\/fPuX+w7gmtnwldIDqAXOsLtQVYlC6EAxPHFFS5MGvtWGkxRSITWUwn4kag8wA9I\/hvWzcyRgJEFPs0QcOKaEojBQAmBJAoEpRoOCSnQGsNsqNu0QQTSHoVgDAUkEroodl54qT1JeLi9IOdraAu3ub6N1UbrTtdnvb\/v33D2t\/\/Ghvb1u7\/WObJzjwv739N938wcHIP+TC\/tj+2yI6rxCJKdrwRQQckIMtmG1bHMjxBxwS3ADu6r09qqePaTZvJ84cfQzszxEyZt5+am2dnvN6NuKfJOH+EU\/+GscX2WWUF4L+I+Ldn1lkQW\/5CYOCtxycrzvwXDv+CLmbr7HgOF1hjGcILr18qPOSwD9DuHeVpxeXOZ8urBCv+GWyID7K46Bf3aU5h8qKL4UiTCVpmp4kUsA\/xT5vHRZpc2\/c9T41Vd3wJgjuiuxybIK4laZuyatuc0H4pGw3e9lB\/qfYdtgGgTyC2LXrXd8iLRoag8w0CNJe0MvlQRYQ1oindgbFJuJM7XVgtObo\/18uw0tVG\/Ix4IhPThEjKkIbtnoYcMd8MXtbB7d3trLxfTBtc80iWI+LeFLwy5\/x+Pa4zIpibVvQFfqXZQlYh+ndzrdxLssRwYTs7EK31QEXVAWdVkxhGbXoqW1UdpUp06iTtLKAnyZFddQV+IQ+iPkE938CxC1YR7+d7crTQvzzXQEdVRALst0C6rHt2Ih481Mkx+FWgQKXSPQ9hU6Nkq7NAj4mekKG30X\/GGocOe4eyL0JEN6cMYAhw0D1bGG3m9xzAKxPBHWrLBRQIt+o1eE31kbRdWZh2r5MSvkuzFNK\/nl4jvdOCuXrl0+Jsk7ek\/wqx3h\/tqgWiCer787SpjTTZooy7XI269gqLp5kO1DB0LSToOLrxIPH81wqOEsa8jjyI2jrCDmu6RF5qROsT6ozIK71N9Ha7uVOCAzYu7N5Yk+DUTvJ24KhtoHZw7iburQK+sWFTsLe7Xq2jqruxoehPr54goGsGk52qCEmQRxHbA5CYEUld5D4KGtyn41OdtThQ8PJbFoFd4nSiMiHjOZbU3f4PvozvOcfx\/rXpztlUC54lieZdDxwIApPWl\/ll3gzECyyUuAhfnX0ZyZ1J0H+cbI+fvp+ER\/MUq7lM0YY0yw5kFeEOU7gTvY8YdAwQQz3FqcvMZyy0I+pH8s6rj+S9acCw1t7l3wmdnlF5ShForO6536FXLhOQvk8n\/IOMJnH0fms0b8r6\/SoiBrYJrtL9Sx4c6sKModrPtMHw+QSXkwh7POlAX5nwJdlSVKSD5T1ZwQGvDsxXXLNMoDuuSGH+HgPEhgXyaK\/Z5cSJEsUnqHuRse73k3ji+dvUVOUXsKU7cEcrEtzzzcNRmluYGXdjKbxnYqPuLTNJFnmd0d9niSDjxSYn7wGGOUXZdhrJkPIiqyukBX8zSLPrOlkZVluJCYb9aLg2pYnuW0+NOonJCFXH8d6+PM3GE\/5wWB0Tw\/VI3vgyOY+QV7OVKZSrdrcsb7DHusl+mjWt+pXal+mDh9LsrlOlLbcAgzmCgpS5pBpE0ZBpXtJEFv5StzsFdRB1Yc2U3kH8GWa3FcRPxfkMBvycVc85Kqn7g\/0ndV+6pryvQ65IZC8uPMqfWAzDZuvwkQpibiuz+mcPh\/VxQNwm9OEhNXO0dA9VLy2Brryp8L3kc00TNGpPAJ+nYHbTgGznXypahpiuBRCnrOW7J3ZLGmp8O2VKEQh+NEln8oRCqzqVVOiV1UC1qVTez+FsoXZU6o9cd8OUFfX3TzZjXBFblRT3oSZqPIKEclaVWV8nBvbqaRaJc858QHLRN0r2vfS+s4mQmtFQcHYAlWUHCWcyJC9T87\/smVZ6MBw7SL4uMexs1\/kaZixK32NDsH6k2r+PSrKnB8WWqHd1X6F8Cz4Aqk6hZBT5gM1xChtlHSTc6N0X9olYqlboy+a9epETypP6w8d1VSGnRf62V+mvTD80nA7HNYkwuAJfD0UhOZipSruOA265xCWhRIDmOMS8I1yrZAqw\/F4fOCylW9RhCH3S\/sQ0INyq8HdE1ZozCfKtTCycQJRyLL4SDHEDAazxJs\/Cj1rA5LEcQc9PM3K9T0lQI1CGoyP8C7qIfP1\/BtQc9KilgT2Hi7RNeEIBvkClXd4bynRKqnv66iAwDoCPkRknuLyxV5\/ECwQmOdQR+Yfw\/rY57mkL5ZfPf4Q3l9g\/YPoOdRPfdi76SXWV9f2\/j49h\/qHzU+pkvun+HwdkXUZmryfnkOddpUPfh89izrNr38NdTTTj2lIqnhB1j+E9b1nUD\/3Ye+mF5vpx6D+1ee5JBGYjyFh\/amsf4w0\/gfNdJ0c6h8ijk8FZuODUV8nx\/qH0HMa5gP1+jOow3L8IL3+DOv\/vsB8CIH1L+vcNyAwRAUjzncSlOMX2HZr7JP1j7F5hfVHOgCjzA\/a95Cy\/mU9+69FxNlhH+FdJBpmHfa2PKr7CFLFE\/31gQKz96Mo2sV3v9OZ25Wsx305H3Ywk3N9+UafL+6q\/eOHXW6m5unDWLdpMvUf31zSdJcb2+ym3MImxfDy5Ohkl9vaHOHv5ATDzZ\/4IJXzOcqnU5+no27yrYw+SBqDr0fcSC0euR3a5J\/7qmmcuO+a36BNwhiCs3f7o5CPJVQHip\/uMC9kVVPnSJ7gfwjv4xRsyt5ID7T66VFSfAgG4ukxYiYjPeLOa\/R1YUmsRyPZPkwu3elFOk4bMnH30Jq8i8NzGeiKw\/n8hMaXHR2DGzKMP7+53Crzx9OTJP\/27Sa+6SajO52n3\/jJ0Kv86irPyfBVlrMACNSjTn5D5vljdj6flfKM0q+Qdfea4ArT7hysbYvvTy\/T+MiD+CLF6QY\/5VDcaFvqGxtuh2EaF2G4EVqbRllo4U50YremsZ7a5iu4IygW1EWxe4xxXue3LsrS7yUav3YvwjbVuU2AbdiLbXnXtMk05uZs09xmSTLKxz1AXtqb42KjGMU3Fki8RnG6dYe73lcPDJL5mmEeH4okgS\/TOH0dcx3HeThFnLA4tmXcQzGOD1M0vyRsor6KIk5ujnVYolyNJvcw88leoFG6JbKuy5hs5txxgde4uLls8rnOVXKVwxJRwZSra16jcfMnrBPfPLlKG7luZZCLRpGhZWp9Ezb1obY9aKZpXJTapk3IjeXnb1+hkW+m6cYluJuPOT\/Ma1Vlhf4WxmfJ115ZdlgsWZbyGo1T5ig7qD1HbJEn\/4RbkOgpuNP6MG2HBwV4P+RVEgJl6Jfih25n2hY6lOyEuMGebOZ2WDuZmROYILUFoNU\/MJgkm2ig5Qhd+8mEa2mI+URY58f6tFbRs7LztcnN7FaIG8mt\/mudh7tJDnG\/sRfTE0hQko7zzqhLLhPI0AiqpV1OISp5mNkLnwlI33iN6Ul2JPQCk6Z8HJVlxSyGDjgI08mpqlR2EpRZmtFyrW7LLMgLpcp27+\/nv99DAV0j4MQ7ys6BwvuN7DMImb+xZWKLEQKE661deGZhgo4nPUinRTaNy\/EK6rKZHksgOxwiU+biWa\/Sq8ssWBTx9rk82HbTmAlf+Sum2YE8dkgvkkIF3NZLN4bPdWJbqey4x1xBcg+5IOf89jEo3eJNEwhyL242yhQiAz03HTcRMWmHvbw3LiE\/GTqEvzeOkPTQ54eTuA43p9zoT7KvUd81tkqyc2tMMoW1YGZVkIDlgBZOmVWToMq+8ClCyV29ZJv+JwSYwBhvgBzcFoKCPMhtfjjV3TLhtpB6VO5O42YR2j2kSDbLHEnukp7dtj3whEsdd8v8xkOBpIfMFhlKviwAsqxlvRkUh704sufx\/t5e2U4Uv4TFrR0g5rslFWO2n7bNpEgmQYcf5BZu1+gArN\/cyK6NEE78cCbIaKCHwjpYEcRwa+6SiAaaQNxREsaaJqL5Y92FniKjgJxFltzINiLyEscb1MXNoa41TBYktmciNFYV9LkZxe624Xsf4Y6qypTyAVnfS4NvEBo9fnbcBg0DMG6Qv7shCA5u7Siw8XKqD4HfzXRzdDgCL7iWykCRDvn5bDRGlIIpxJflddnwxN0gxeEuiXrNeqeRBp0f3CCQz6eixo9er0yCXpGUbe4EGPTKIAp1VZSX7S+BfJXlEYVNWE7MFLR0OHI7aIKSBFJ\/iBLc\/L\/wQ2NIwI9IgEi1+3Y3IeeFvmGD8V7I021wyczpD9Zj2i\/ctHIUKaO5Vx6VYQSTOOc3MnQqa\/IqRpnc6XmERKHiApbHNL4UEXiWHOfODQ5EdnF\/7+O2YSV7zsdFRVZUKDzV9chAJpSmmvJZkhhfnhl3qjnzVyT32CRpquAiO3tOw4Tl7lWeyGaasnsmhwrcJNP9y3aZsqHmkTvxyP05ZW9OxvjGGBxdHDH27gnjpCm33JSUzJFxMSJBQhzKL2ym7Ia4AkuW1sjzbrJJXvllFUfOuDRZGBbny6KtEp9OheF43GjgN3bfU98aN7bGWwdjOjF4Ey\/5rvr4YItPssKvvNgaj8dbja2vPG0hAH5I93UrdI+9tpApYkomQvLR9nDc6tzXMwJ89It\/KEK\/R\/9kggphQeDD4riqEddzqGdR5N50XSfZG3Rtd9CfXNQ+JopO40O9w\/dsn+R7GuUW8gxA6zkBPouS56iTikvLKiUfv0FRBPOF4gUq4hnOodeDoYhVTSiuHP2Fo4l38pm686tDvLcjt7lbEKVpqomYXLrtMPmxnQlam1uZAeCFNa5VIqhEFR7CIDLDERHoyVUAHvknNM6QO3c2rVlyt3dHpc5ks1Mh7tNTk\/QdvKeclJrL1+irQM1mw4mKO9U0R9D90OXLY52hsP4chr9OW2SdxGVRuIm\/BS4IikrkvUFcnynuEGKur4OzwMirA8Fd0qmCmUFhbyWNoyF3ATelvmUCR8iTmZOqD2S9ceHzBPLCvScRjSpuoGTLPShvb6c2UhPYicWlCZKitLIgmFsm8FvU7De4yeVZEGWUF3XLAxlnxigh8f9A1kVgSMydhyUNIW9lsxWdmVsur79VE5O2QnQlWcoVVIMiDzrbmrVUTdiHg2Bes5JObUc2RRE\/kuTN3wSsozf9YNYd28idDYr\/gBIc7udnKk6z9PJCq+MsAeqd1il66RPdjqqAdp0Khnm73DWdbHevp9MiM3Hau4BIuWxWiO3m30CdtBR1luPMBHlbJdaoqMv+ZTRDWVodFcNCOsswogO+e011ps4SO+20U71xctcLu3fto1sKjqsAl9WEpXC6ybN+\/wFLHMZe1p9SZVQ7n3VCzQvf5CIMBmLwHGS9qTWzIGtCtlWRBmoQjWDfHVr4ZYFxu54KrQP\/gLr6IR9AfAdxFdKS1m8TxA1rw3EZ6MLaAh2AUp1xVMXcQDnL+L7DoJdWKNV2MqlMEGOIfNNWVTM7E9F4npaybsYXjoPfJnlrQGpVaIX5Sl32OpHBqMvE05vOqKPm1SlQv7Z3fEEgascTUyb35n62d8RVSjo0t0lbwZ5FO+FbwI4kZ2brsl6ibhrZO0V+TdZXCSJ+wBcYlAWy7M7gNxlBw9xmvYhKstcz3SJCX4cxZRwVTaKetBeoEB97RWpIDh1hnbyDdcfBb9Mq62vyEqhO75znq9JXCSyK+DJCG8hadqTM7CIsRH2j42q1M0QfBPpyphJqnTVazdejXlWm8UECUxPusryR1zfgbgIAg7kaTs5mhFJA5T8rBXYpXSgeYtDXbW72EtWsE3Vm8A56UWCEwDvfjBGSjbRk8yChodvLXWjZ5Tt66IuekhMYEFB\/5xOl8EXl+O+QaBgSUOcX4d5BBxCYl1XZx9MK6lx6\/R6iwNSa8d8l14a8rAvq7xQY9qaPtNi\/SqsC4xy\/TeNLn+d\/RLsPAvNe1H+lmfphh7OquB\/MkrxB\/wZavpcEDfPO3jTMuCfjW4kbN9WsC2Fgy+SrXq8Qoq7KuuPgt2mcAbFHevklQps44wZQcHI3XziGixlfFHgroWNY0TDvFZitC2b4RuKWSAXOQaWthgXcaISNEKMlF\/pTmqB3W2XdOX6bxr8gMLOJOgkbMk2RNOL7qFEmyWH+\/a\/8rTqqFhjS+1lvUGDejPupTX+UbJW6EQd3jZsgGFYLu+9D30IrrL+3mY4zCHptl\/yU4o0oh8kuqFdRg9sdTFSLMvQmHYNIwjqF\/KXedGmTPTbOxNpzTkfjC7cLksv7Z1QW6rqRq+o+adwFnXFuop3o6MsRg\/yWfy+Sv8Mq6s7xiB5YB0JylqOcvY+QoqwjjtsV0CmPl364eSdEkyxbZqb0Qaw6jQM7tuFX2f8LNOTen8hoCYNcPTi4\/aZj\/Q3K8RGjj652EuTSyIas66V6FCafo5kaQkxSfXPRiPkBtrg6tU0df2\/k7hs\/M486twQfAoplGeiQfSmlR1tB\/VXzi6zL\/xp5\/nfSOE\/YJdU3eJVED4VfbRiGjd4MhRipzl95UJkeSlITtxwmp154uGNxH+lQlgV+MmBdYf1Z1IU3DmZ48ucndH4a6Byyzk2yHFhCqINaROofxWmh+lXc4Lsy92kY3U4bx0EEwBHBHhhpLkLOITWAf1xxV8Q+95Cm3zrqL3RJKubr+qYru6CsEZ\/feGeURZB1buaMbN0uoKDHah7+nrOMT\/QXavTPLlDvBJ3GVTBQtxojNbD2MKyTTbU9\/t4LDm5u+gZZV8GpzQI1KMvMvaa4SlG9yV+cIZetbEY5RxXLtswEmdthP0DOql4gaKEiiwY5P5tVRUtNG5wGkwH04AK9FOWYO\/+6HfMGC0QnHmSdm\/tKe5LCPDZ6KRTcWYs5kQL948tJECTbKpg6RsGGCZytp1OZUgsG5R2OlHXulC3bOhMdt5H20i7sc99Et+06v0AAuh9EWpnpAGpGrtX1DTfxZXzZT9vt4+rw7rsdKUkzOJHVU1k3hS3LVKVlr9lrGnUVp2D5W8+9QMfgprXpVStEHaRaZe22NXq\/WWqgLpnP2aS4d3MttmSd3EgrA\/CeGZYLUkN3XbYFxz+44AcYuJ0lc+Du0ISblcn9h7k\/JViHS+x11yU51lUvM+C+ijdHOplSlHrpfVACec4SIvzLpYr\/6apvhaqs0lYFu\/I6buUsR48TmZeNnx3wnsiF7AANX26jCnLFm88qKShZlWjcMhwRCYILJ+vixHnOnc3XBEaU42RmO4GalgPONUA4KsXH1EGZg3VuhaIWYeQ+q1AEnQKpUtS1eyC\/lSE\/6ZG46bDoGWF8dSBBvTyjvBv50MMCjPqZObHWgSZ84UGx8phLjizDgNv0MTYknWGrAlPxeZFpQZPkvWG2FbbGsv68yIKqmQbBNa+UakTAH6bHXpAC7ihrhYfgGzXXIOsihSTul4y\/pZIR\/qnayAP3w6QXlIf4w+2qhx+bozQMkZwZyQ70\/IoB\/HDFnfC4VR4jPpZ1AFgkweQEZtB8MBwaPvfizB83b4nbA8bYugvOodqAemGCCKmTA3hP2ExFOrl\/pPv0BvccFpjccMLt2AsRcjjyAhzDjbh1G2QI8hhwS31eMSq4R7uh0oEXoeDnABD8SMNAthOb9b4WtRWJMz8GstP+lv+gTKvrsBOcHvD5T4TijMJUl\/4rKGFmuBN4n8jyDrwdXUOwgWsjUkBw2Z3253OWjoV1faNCI2SlSKUhlz61IJrLgCqV29CKJxQPGsuQO3Wuon5BzRgEZ1HSOelxSlYIUs03heM00243oy7UQsKp5GsW5S69rPf1CTPAOpCdY4U73hhCDRFCw6KqF5ZZOurHOTUQqmDOmGyVPMNFzUq0XSGYBVLTjxqHEBCAAWX\/EeqTYHGUB1HxeO8EXsoDU\/+0V56\/c\/E4RjX1S59AnRCJWHihwM1YGuEZgKEb5\/cIuPP2bMZvabiKQaw5GgA6SQAqlygQcpFNYlFg1AoBEQ+UHILDyLM1Weez5uDm73K\/XC4acY+A5RVWXnH9GhlHm4BG5aPrWrKEdTY82npOanA7qkrenezgrrwiguR4QMhdocgX47Fkg\/kM8dwlJYm76OOEKBAYKhlCL818BfULAqqA+0j0t\/Pmw3Z5bxXsM1g2n+GF+\/HxttQACKzjHlQfwgoQkip2X1DoD7iFMipAOixww+4F6Ipk8drAPXdSxRjMArFZjYQC\/\/RAdIJuZJN6QZ1IylBDhH0iL8ULN7hwRcAR\/Il9xjXjYNaBvo76YgC9hNsITHP5Yom4abuyhZInEreaJ7RqCB8m4Jaq1PLwGsABxthicdXn\/r0ov2h9fpVASippVgVGUPc\/KQMJl3TXl57oK35wiJu0lc3nYIVNDi1pOCcT\/f6szz1fcTtUP3daJWMIpvhSM3J7ezIJvEUgGE4bBbHYyPuQQTQAaZ9o78I6Cg1RW9MwbKbvoa8XwqIwJngTIXZL7DDZgS5QNFH99BM9CheTsE7YlsXucbhSJbFtUtBhwTBn+UeREcGgcj+UdSpHYQU\/SKOra8p0X2TTk3zRQoCFlnDs4MjvAOEMF3ShVAHiDFFSqFKayY4kLrQL7cpV1t8\/58j+hrmKgeTwIwOsa6JHEvOAXlL3wBB40iFFQRxnr0G2UAYa6Sg5YrMCEIiuCOVDGMq2xvp7Hw0I64KToarBP\/WkfBNE4OQezgwVH+kr4Qu2ERniDT8QTygZ9\/UVp2\/YQzhoh8LHzNA7G\/qvCkytVX6TxjC\/OI7hrYgLujzegTCSgRk\/S0AH6gQHSBP9ISZknEyhFASdHPInfYHUCHLwZZd86sTCOiXl\/bKOoQYNceo3Cgh7VdwYggHuACP+2VFJJVAGUDQwuBAJEXCFS5aEkj7kvuLiJxds6dIzkHXYP1AE\/fzLQ5f0TlmHciRruBd+GMlA44ER9CDsHGdkReDGJbgVQ5YNgwyyMDiz44THgH0RhyMiWJAyROwv0B25YmP4ItbYR2oYjJIgtmCNTBE5YRBHQ\/4FYXKJPpHtkN0tQHXxeIGkFH4KGL1wgWwQDx0Vi8VeQsSGcCAiUF8xv96POmBnbyT36i8WRBm0GIo1JT2OmN0ohnAl7HjThsgK32jJM9o3iMPeSqCm28UFDmzhrKQVWX\/vI9+tjL0lwaSQgBcpB8\/8UqHrDFH54B\/9Om6PAESTJtEfSj8qnCM9i8wIiL+AmiUaHLIs0KvNBkP55o4ZgPUPRJ1DDdYvxpAQbNyQTFOpCehEj5\/jwhmmGXkTRTGEobCgXcYLsCti4gbd7LOcfuEHKwC\/XEJNEpL5B8o6NIxsp869+Af9AWqbFxQe7pp+Dl4AIGsc4yNYf+COXz8IzDzg9upgBuN8BHIeSDZZB9pMwy3nIS1or4afrUIOUqPzIZ\/gCdoQmPfrdX5KDSIAM9erRml4prS2KFOZJRJ2K5Pv9dIdNe+WXK026\/aKRORCl4rfg8ps+\/v2rswm0Zt76LPQqD5hnPwj+5Ml6lvvXVRC1kURDwy31yejvCskNLzQ+jDsAcMJpcCopo11cTlLwqm20762OrEJo0\/lK+iL8YVOuts9ZHE\/YU78QAuIeZNvuNgtE3Vpnh+xRoAzAfz2hVjXwAhCLC3OanCkW4Cw07kzJjJZUg0PreGnQNLSlGmldkuKyCi8Vno6QzmCM70VV3GaaiNAY3wEEZMuCfjIIPFD9boY1zTM0VD5kQSO1gDUDrerm3dDiMp+2AoPikgNz1S6t7Baqau\/d+wh8G53IE06NImNzzgxa9K2yQ8u060cLRpigwYq33dBV0XMUY6TlafVzvHbFGaiXKQzd9XLb2VAKE276GXFQcJXsbhwhY1U5eP4OtRqkVh++EnhhFS69a3oKGPbWa88yFUO3lArEDt+XIEtnpoKFToYolnlXzzrgw9YtsauhmIi2UNBC064re1dpHnM+d20vOhlEJN+akfzazsaBkk7aqME0zYHnNONLRsYZcs868ZQUXnRtpQkfpuD7Bt+sYOffeD3LPK\/hHWFZioCw+9S8vwbNM7Q4UB9ORvMffSUPR9Q1DLLMpyaPMuyJizMIxujWgq0zXxvUOQqyAvqEj3WZR6chgnVolK9dnKaorXyWxfkmA0UKlI+DziAIeBQj5JGG41J3L9JYQbFsuAnSjitScblUxgALeyC\/8lip0mrd4gxezrWBrXQ3Ifi3FXfepEpdtnydMjlgsomMll9ejANTFmeU9F7PDgQAAro90wt66rgm\/ncmv73uefsF26CHoQqEcod0gIjcaaioot2hSL0hoGZoBfqWO5k\/t1ERWGLaGDsXgHQqYV+mH6vNOEhRtxzVWV2v1eU5wADGhXyww\/TiB3JLqoWmCDfaGy4+XO5\/B0KM2ca4mD4fTl+iYUwq1lMS8qoc2h2WLRKnUadURyB1SgeDQJVmWgEaIHkIh4EJq6ia8oGBhRxFEOVSrOmxEEvOtRZJ7Iehnr9rrG1wdWCnBFynPwyhZnYFiA2VdwGypH9Hu7GKleDKOc3ZnBXU83VreF3rMAH4TbDCdIyIi5mMIVg\/shHc1RA84e2A8M5zOJvhj554HtTsFt82eC06Du0DCfuqAyBCgwu8OiJ9U0bFrBTbMgIpQdiCw4gP7ge4sSJbPxzUIgcyDgu8Yehhpju8ILuks\/PUCChXmsbJm1Yb0P+LvfokqDE5hw4iqzPYdHwi0++DGhnQ4YBaX5hCDwMASEu4SlfYEMZ+tCMCBnu4JpzdgiTKRcYc2IQ0LKTT+Ag8\/mySzrdqJ8k\/i65URIYJGPy\/SBCyZN8P5NMB9JcFW1BcAMirP5fUEct7MDvVkHC+2LvDviNJLROpMdIg18cYqb4r9d+VdV98d7162IIKIwDhOZUxqx1FoRKjZ4RP9FOSPl1JIyVyTmqnjbi\/H4A0xJJdlhICJmURNL1MdCYo0Zd9eGanzUygjpnPqsg6cj85+8TZZ36nBgxb34nCWMKB79RaRhuW9uCipdSSItN0FWqpChSgJhYe2VMnGaHkJ9mYW16ioj83CNaDqLzG4eEAemJxYrRC5\/32+uDIUbugEWgn4vxxS+yzdn5deKo6MUxEHZVgB4oKrZ21HF7OrL5vQ6nMSzGLI6bxhR22pnaFNHwzw88Sa4AA\/Y6vxTGSp15gaE+\/22t6AldEow88MuMyfNiKANsmX+RRhDCCgTfnVg+XTlYZLYwiyxTk2lYFflMXRVBfpWkamrjwASoEo5LoGNZc5zB42NL1uYAMtOve1PuNM793N9D8q4GeYQmY9aip6kP0No4FIZZBRxRMgyarN3r3Od8N8YU+VxF406RzPnh0OFVbqoSg6Vzdm1zDO1QetgVQJnWkZ93Zbf6MCPwfgoz8Ls6pys0pCqm\/EDj2yO0xx00xB1zLu\/HaKvmRbcPJ0ZK5kw3IMJo6e0mv51I7c524bQURWTB6pMvtSm0cZH1j2KdZouzqJ8S+yiiHiVxkpOuMSzFuGJRoOHG4aiN0ekxRiPkC6iTaadxfHoQhc\/N8UH2+zNh\/Z3t0xMGePzyNLT2nMMZSkwfkg2NQzcnXMD6UB1Hl0VZ7Ge6ze1VyqiXwlZpncKC5LsmtHJUbjlREJcxL8A7tAxkpi\/dBuDnnOBg+PBA5v1EvQ4jlz0I55mhsPnAk8MD1LN8dBOs93eyODijUtg5jaNvGCDlVlG4+ap8WU6oUsxOmO0E0XZJbcQJ1RmfrkNg5nNoVOYuAnRSTyG9n2RYPUd\/Bw3Az+6BV1jvXJEzpO2L6m5BYPpHGMERS0498hW2AVR4GPXNdxu2O3wWAva1PSi2YA4TZfacgABWC4Z1qAVOlUjmH4i6PDelPgDGBFvuAO0NsCCiomMwaJpnMIFR91TXir2AMnFMu\/Z6FDvVjZLDGtYxP886wLCImgYyR39kyY6VBs0Csg7UP6qZgnWKIki+7sh7QPg5UupDxYNd6DqTnKKXoh6iBcMCQZTBCqxcmA4ygyBTo0jOyWw2TfyjjGj\/ggrqEwKI6vxQ1HE78IeMUQZOyCzUYsE5SMANLlEEoDY4VVDtFCNc0ASn8LJ+OPFLgcAlFxYgmJOMnDDlKhmEU71yWo1f3uTc1MmXjxQYMCHtFPwDwCF5lFqXuqBlQBXNNUSADRBTaNgGIQxwMDHNLjZJhsGq4FhRJk8h5fT1lj6DzceiLvUvIMJwAVzQCHzoMp85xUPjm6DShEEkPqgAD7TjxVKco8sHVxQVFgjijGKAfbR8qbkBDQqk4T9iL5bm1\/vpIDOzIW0l3ASYQj0SKepHft6Tj6ppboN5mn38vOyQn0pGdCItfS4qCkDjinlQheMERlGDHBUJ8gN+gpmK1ww\/EPUt9C24GYQRjQkH0YcYGaHd8fmPG\/KhAZBZaggMHWTSFrBT9TEpMCdx1IE04J4jKskCRgAnAqFSKXT8NO483+i802BcUpiec2yEzCHXIry8GqAXYd1TjGnFE0dOTQB+GIILypIZDjAeBMryvVOU3cFuOAvIFgxAqDIx8IOYzUV46HmyEcFs\/BDux1nEPP8Dwn2ujYHAfBjq\/PQav6zKr63S+ePHNj+yuv03\/9r88Kr9G+e\/f6D\/\/LuNoHYb0f\/+wc+04reNIEkHV4EEP5ABP9D6N\/wkBhzy5VZrizbSh41Ylrd8AKWFDVtc2u2POLXcuSY6eS2+IUO905NE8F71GYTcmKEPakkQbmH3I79E5\/30UdX3Vurjlh9jCLyRVgoIDcKju\/gZucjrsdeT+3DxrH39eRkJDude+vzfQXVxffk9mK+RjylxVyMvK8171oD7SPURl+7PXfoY7vL\/IvIwePIIvI6CAMkD\/1eiCsLuWjJdBq3cYIWIN\/2fD\/2fprrIxm\/IhE59FcjnSJJwioDA8Vp6VF64K+RCl\/vxYPxHaiSxiaNTxNjBjSTc+fLwfxcRRZW0G2FR0FSwRf7qRu1ESEWHWU++6xssji+LoiiLLKb5ZXTPFj1cHc99xoHSaSnvHckv7jUsh+62vV2ksB18xeH3fxmx3Gd5WGhzzjUDSftrL355AwZEVjvJfuOfYsRLk7e\/X8F+7O6VCWohb+\/rvjrP7d4S6EC3rXtaUAWV0e3wxNmbugh7U37QllXzv0Qiam8rElH3zqQV5pV878zBAaXAHQXdZpXQC1Fe7OWpLfQAdaPbxZSfgeon20UcxNbGNMJM0i45G+ZQ32snt8EiSpJYzXRhpT4QqVM0ctwiSvKsV6aJqCWnk36BPI+fhH614ebhvqBxa+KsxQrABfNQqjJTfgNyr9gr97h6Kagw2lYQYMTnbB8\/wg1HZz\/MzdS2ATb89d926ud91bSwSaDSsI3GYDT3MxXvuHlgdRVl1qbHo+TSWr4SKUFvolW4357q36Y3CQ2juKFNHjZs2MZgrXUQpnx3CwHcjfGF0UOlQ5FZpVvFiLkoCHE3TsPsmvcdjoA0zhNkofSeLS+L\/Rt5aVDvQa+3bduG41aGHBbowJnhXRk2I6nnn2Lo4viO+HPJelbsHYKft6lNxMrDdq6PR1Ahw7MzWCU+hPt5DnVptyHr7b+LIoceoAwrj3owtYXs\/a3ioq3Nt1Z53p+hi022rah91JsaleMw\/PI3h92snJD7Nsed6FRWzago72FsvofOPONHkZT\/pN2ztFIQpb8X3ygdjP7TAv5XZBuNXRTr9TG6C5VjHpaU2eUskIpg4e3Eo3hRqUh38y4p7+pTF0FQZ5Ue732XF9Bm2m5DrwN6hp\/vFj3XYKpgglZwAr1lezHiQ92I6uEut\/e0eYowOzazyXlaNDvy7UDPwE9I5Y2Nkp\/ee2673D9G+1tQs0H1k2\/pPFSK701ZBPlpPUrSVMdJcrd4nAdQI+pxdQ+lD6nuzrgzWzHtB2Z3G8aLwul7ApGXXYbP0FT4gmwZFvEtFRFVD6S+up+c3Z\/vhttsFFEaNlBP6ja4vX2RZYcvj9VEdZmAUZ3v56CisbV7\/bqkk8g2d6A1+d7l8TniuzKcnUU38pWSbqJPZRdYF1WejPI9usXNXjmVuLP4sght6\/uRNPcBZDqEyZ+y4bi8VJwVV5DiKC16sUnKTNoGQecpyst2yxaXadZL9ZDC7vf2fYGYpyTMDzbETJK+47NQ0QhTUc4vSg4ILYGlYKNWZi4geYC5Ny6c9GUZlyQlZPwzGY06YGX9AeNxVSZ1FGUcDh75duYtvKozRENiUQiSCvdwN+O3ypmpj\/8qMZgMVSofe9R\/luS\/pCXqr5NoURz40icOUnCQAAI0BGPn5eieIQKxf+e1UjB1+JF0Cp1rFXzxXvYw5wdCKtQCYipBmO\/kqzPAhgt40osz25IlkVT3HJ29Jru8qYQPl7L+3uU3H0ntr2OH+quaHRyLfRjc4ijIM4FPIhtgP0HAyzfSEiqJiaaBaO5L77gkwvyDSxoKAomM+LIqGW0CH1dH9K15lJxfwdzFEIZn+fivkt2vT\/U56E0aRviFrAEMuebZIeEgR+DjIgFBKAmABgll6SG+TF6vmaKUMwr\/HKJSh9Qe+HMSD+BdbBn+gtgcSOJ+FfRaIFZl\/VOh\/nW8y88Ov0rklzKHfzpRJClBrSqeodUASDrQRyLBkrQOGS64Gaa\/Yi09pPX14SqoRhM\/cvAKipK\/VNnnlPX21zB1U4c\/YcrhLE5PTksrmfe93uHkb3R32ocXvR06iM9ek+RwrQaGY0w6vQQzSwYpE5\/Ch\/ud08dEcUeGRy4rd5AKd6lfJ6lWOQwFdUn982T\/GYmG8UX6HRqMstZ4KwwbYStsNGxvyul0lFiOtWrwkqwO939YazG6NTDkm1Yeqo4tLPih0ZfZRXN31Ee0SSe149Dy8XL2m4+272v5uMco6UspA7FP2Zv+NtHyE1ubMiwlczYexFYaek2w9dvb0+A2OL0AztBVskx4EZe2GWPY1NwJTMYZF5Nb+82cBcGik5cFwn6HCLoT8Dzc6H1Cy3Gc8sPmS\/vg14gbdRBqfh2MclpjTatloiKddK+SJMcwSkf3JvkmM1vBee9rF60AwAb33bYbg2p+vSVNouA65WhWlBN8d\/NXpvBfJimM1Dns9b9kRgDO3yrhv0JtaBjXAOXyl4n2hrrnhPmI0+deypyRbuK8V+6VvaxX9r5xxh0lxyHKLWeL0RdXpmuLmAoIBnp0PGKd6HYrZ07ojwUmWS7+q+T0Ol0L0et0fSZZB+q75nfEyZMvSkem0XEJawQGOSFT7iMnOJwpM8MoVUyYM5MU4SXqmVeTJHSzYIgeQPQRPUhsyGcY9HRNybl+jSSRHIC6txxltPtJCBpmV5o9gPp1oaLEymips8dJrQdLUjYAUnFelhD1MmuW2UiGSnHatnzuJ5a46rb56EIaBn7SKXDaK5ULfpMHZtGQiugVIt+POXdMMLuqnoe5pQ36aUj0em3dvUSUQe9yhXkgFJjlcVO3hNJAU8SdWN9ApUTT\/Ft+Jd\/e6t7NUAtl2O5ydhw5EtPMitWKZNL9Ss4mD+0h5QCXKtn7Gz3Ay8QwGUM8JzDMMjBJuMEvHzOmiMKnoB9b4YnI+iM0n9LzNQNPBujQcmpRAWkd66t8GvHBx2qKKuhDeTTvzg0\/xTWgPuHTPTe1Aj0iY1i6YcOEYjGquBdamaJ8gaB\/pKKfJyKMioOsF06v\/05j\/pfIhjCKDbcrGMxe\/OOCXikCD+vEa\/yirDly1RLpPN\/tTm8Sb7kDTPSbHOrf7fNzbq2DcRgWyRwxvxUUdZ8DUMeBF8O7qzIMD7a2WsXR3cqI9jGJBuI7DXznbLHCLv+43pjB5ipsZBE6LiAu\/HwKykqudUUh3cLRF6hd8OED2F72c468rHHqxAB0hHktjAIzIto0J7sQCPhdrbDhg9QAV\/wGl+RKt7j4AETCF6eRM3peFmZzVbZboVsTu05cxcoFvxiRkfejCJm8WHl\/gsrSHsjn4fn3D35P\/3EILbpcdp0+1RqxoTuSM8wYuYALCLqJworfqYI3hV4F92dOwQLkGm\/RMeLgPVw\/IncTq\/55Ut29cEwGN5asun8e5MiChbbMaa\/\/9k4L\/wZlZdH4srEB1l8hoA67gnDUouqJD3o4t+jgo2UiV8GtGILipOwilGAzKXSrCD09XIb4uTBBnbItj484+8tc6fk8Dbv74atsCzWIOjKZsN\/4LIo9Ky1Rfx13oM4veJM+TYeEeumWNepSgudpbPd3qWFe6Xf\/e4Jed5w77J+nhkxYCX0i1GcYb3mmX+F9y3KZCKKj6bh0n4Ao68Ld22Qd7H8a3BfJfustqEPWgTdF\/dOw\/suy\/nkEZg5Zf0VUPG3ZMiXqNNY\/jZLJym0v66+iXss6n5p+FqIN41H\/y52eo0a7+PZ5UX9d1j9jbzp7k4aR3pSoI8X\/32S91jCcdfksBFl\/k15Hb\/r5ULdj4e6Nsv6JyHSXsv4K1b0pYf9EvWltw7wJ9Z+tQ\/0vadb9ld4UZsDnGiUJd2+0YT5PZxr0r5a96asaZqnXKfGfg2g5\/kPu3ibrfDrwWYijpLfIOvQ6FDr5\/jTttAfUBe832+ufhnUFvf5zWV\/aMOD70zTUeh7mNdA3Gta65Rtn1Tu3GftIWuRL1F+hxg9nw5A+EepspZwb9Vw+Rw3bSvkykCxqlCdmn+HfJN8tuP7y5a\/X2B9v7x1FE045f6KJmFrWhV5kfcvKaonPRSoB79InvUZiw6CO2EY\/DeplrzhobIVbjUYYjre2tsIGTmsHeobFZZJ0v51wm7uTnGf+jp69ONqVi\/r00XHEI\/9GR9luHYDxLfw1yPuzFNriyGuY5dOXP057RdHL0jRtZlnzEv8XF2nW5G\/pSuGPkIwbybjHYrYlP\/7RA7+Hi4cgf1p6r134K396exz84IMjH9GVvUy4a2YpOby8zNJH\/83LZq\/s8VUbtyTts1A7tLtxrPVI66mORy\/88V\/emr7Rf4bA3rPENSBgEBGWvK7\/xXn7e37Kb3gB9U9jCRSNML8j\/yOCesziPf33h5igH49QTrn2Acf4xxknXqGkx1PngJ+4mEZSIJq7RpgnulwkuTV\/NxLKC55wFqc7+5t4P5EDHmP68xbujwx6JkfHaSNsupXU6IH51HD5UND1yetOHiUCD+LlD95TyIe8g4qv45y84ydF8kdHgGlZzrUA8ao9Dlk4yFyn07k7Hh1D8sQnBhp6dIcA4oLmwnMU3UEAo05Hd2IcSDEc8c3o7jhG7d\/EuCdiMG\/Wr7v36q09o\/g5X6nKFymOm+E4q9fUCPirmHlIlyRPfxGhRrkekNfPb5dpV9L8DlHWCYgUYaVwLxOhWCegmxdUurL\/WfkNiE7zveIyhxRf9Yo2e2Wb5UBzt+12AyO1w+LoLoqnaa8Ixxj97mVXIvfJ9x9lApZuAOhJuScy8SKtcywV7H+e4ssV1Gn11oiSlg\/DaxCXYEoA49Lt4\/BU\/x5i\/hbxfVOi\/mrZXiRKplAaNsomOuU0K4FmmuhdO86mcScvgHfahb1hx9sn0LLoubP9li0vETdPjqdN27C9b5u6e1kc2AwVON21Gxt2l1WpD7MwTOnwtCrzb6PjUUrUvcnoe9QaTbkQenDCxYs6AmOKW8i56rB3EGT9iNg5vfw7xCr7f3LAk7DRxzErYNo5ajV6SazLv2wOHRNHevd7gWqA87ib2TBFMvQASa\/Vym5iirjWR8W4BbQTnBphL2GLaYbtVFTTbxPY2fKoy1qpSL5i7FDjyz1cPEVyUo8jTybmpx4Yi8QVZCQXEaQivszzHuIbMiKxvyfsJNo1R9amm04qj2yYJSJi03jag4HXy5ME3ebx9CZB8AieW1up61AR6\/tVx9d4fGVZU9+szTIoqkvd0ThzD4d30OhiRdYnhlt+0JAUGU6KA+6KAhKA3S9QOmuXGRRjk1+kDzRaq92GWsy4I5OYQnFa+O1CfpcEdc\/h71HCCtsNG0WZgaDFGwWk\/gRsojriw6YNMYbBWOUSEY8h1cdT6A0oGzhvqEEg9YfsE9E5tMO9dHpSQNPkxZfW7vG0F9rU3+Y3Kc5WUA+i9OuG7d25JWdRhotkFtTvbLufSQp+JUeZxLZ1MInydjOSbU\/7ikvGGbfTCzMZqi+7hdrxVnKo37CJb774t+J8\/McwUGobITcDg5SkCTP7Foa7xzqZxv9PrDGsxRir0eiJtX\/c7RHrKQQ8yVqWeohtDXUybTf2u8ddK3uUoEKyhLJO+\/MQNbRyz02nkuR04074X\/VdntCcag0DdEwzzFKbiXxHu71yezs3wLkLFpM8R+xIzXSuI3PPSgm\/qeAua6fRdSQrampk41JQN0meQO0onULg8mk3Z2N4GxXjr0eQVdh6aP4PBVv54wHBT\/8ZIpCjfHnbXuo7muhOdUx3IWJJN90rIav0gYqHjqaK0Ul5IBKcbI7y9lZ7d3QHVDf1XVKGtpkwqwzxpilGoW3bFlkH7jh4huRvWt9dLlElh4xEoOFcnm4o6w+oByYLc126vbCm5UlStJN+FV9lGOWmzWbWu9DOVqwmXNANWVfQem2om5ZN77hqk+Os27gXHg3mud3m18B1actpDOT\/auRsCG8aAhfQsTL6cew\/+pfCiuau\/xnTuQV7J0+bm+lWeJFMpckIbdKG0aOkaFj2ssiF6kNccVJ+JeqADEplv9WGxdjpHCdpe6uVoZ0gIlHv6G9FuLEhNoxUFtmp2XIH\/LmTuMAouSJb\/jRFZegmUPfr14PJdQatflPwXag424+j0n7zJnlNSvVFrLvgn4I8vbiKo2E\/SlvhVAz+SRVETXQ7xXa+QEST\/ZBJ8ElUNo64FPZN8s43ZGgbg2cpEg5EU\/7hRsOmlwuiHwGgWEkYUCfu8EutvUCNg26mm\/TatVvALu72bGPcahfojVolmzDDslbx7WaabKJd4+JHSK3ftq3WHkx6yYptghF7rUaBRBBy3hKsCBdLhjyb0gaELTkvq57xnIbxY1NomCxMJ2d5eBmdXuwfquh7mA+DGHrMFsX+32Er0wbSrKI0bKUdMTD5OTr8VdfpuJTlkqpChTUaP0I7XUDNaxsmO6ynqAwThL5t0oFvyMTkdkooyTkEBCItThbHFxF\/lCVptRIknqCbKa6Acp6g0SPYi3+Sf7uhruZLBPyeW5rDEhSYR7p7lN+MPCiQ\/m43vcyyI9QCwqfH091dVu2Uh\/wbFC6VCYIcJ3Jb8gpGHnjhPxU8Ikkw\/\/FjQvSmF0uDw2Tj9B59qk2vymwRdETWzTHzZ6JD6HUVxE27zbcaQMroJB6eAUqTNSDTbjn2Xa\/VvD6\/CLmnlinDLpf2B529g12E\/hrqm5sQGZEnKZtwzzJ6N45gC1UhRbnBhbiQiEEsuiMRtCl60U0xwoEyqMPygHixeQh5ZiSipQ+7dAJ6KGA6CKackWkMbYMel1IOT9++eDvclREcV8KSZ4tB4knVgrMkXLUcK5OGgKbSVNYaqmLPdh28IP8iImyXLyUnMkCn98NszA5X6V69oyKy6qA3RWVB8U+pqcbfYxPlZWMr54J8ifQz4u4NMbhGocknGX+NoD8ciaR5J5MBcIJ2CGinQFaklVCxtjYB+g2RgBP4IDaqTaIjC1QRYyIYxLjSYPDnZJloQ48hO3ekCAir\/iio+9Q1oZJF822i8qHXGx51vs6dF0fQwiYpZZ\/DzmWJDhEka+kn8sIC8JWJjfDAllfmVo12y1YYtstEMhGtE6f7fIxskl6B83AKA61opgU1zHAmt\/oZ\/YDliFZ+OJo6cVn+EZTV6\/W\/JQDyVzsIkxyZnN4ibWwZopNZF6w2uCQ1G4bHSaRbXDyxBhFYxwSK0maOp5uJRKPWYWxGdhk5p\/dg00qkynEDp9fl9UwAS9DEzOAolL\/ajyQbe5wtLx+TWx6BxBV6XP8i8+1wBPORjql7Sfz+xeSrhG6Oth0aFGc+IPHuXxQuXc\/9yYQIx5P1pTt7D7lmejfilAN94JAY7lefcPCXzumufVZMwlAfg1mNwCbjiJe7nU9U\/zEWD3J7TlA4y1FekWJXyddIHDScIqiN8GpSSdW4ZVb1Ozw+VPZ249ZNhFy+C3bL10sYOMdIdhuDlNLuH8IefRPm0DDhX8tZwPq8pLE\/k5avijmHHHFYepPkewJMtea7Rgx5IbT2dueHSNyS44HFsby45i89IS6jPyTxJB4Ynd1xXyUqEZC86CTY1Ad5\/M5H2RztSyR5F2oCnO9X10S4egDRwfhoLag1Ex1Pk2QUDc4mrDcX5SdUYACfprt8IJlzzvBluliemu7iYtf5LImeMvEoIcuI4uWJUerjOj2EyK\/OG4nhhFeeH3F\/u\/xEvDP8vU4XaXO3iaFPWWBwyfcnBU++oEb97WSSrxC61whl6zLqdRF4eHBRgcSQKDj5S\/wxqgAO+OlmHXFWwWUpx59RcdDiI3S3\/Ry6cebP3VV4b9m5wv0xr1t4uo7e1f8tz+7VajqEZXqAC9q4IKl4+DM7F5k84gg\/ZCV3kVJKRJerI5rIaOYkDxF3R76CWcPNbKiKK74uhoB7qgPuBMG\/e3oJB24YCS2bWNmeglzKFnBwCi8CIP7gwzIzIQN5YoHBFR\/7yfuFSMAgcsESSmzHhWCPrJW6dy+vrZbhFeI8TMQ9F\/iKuRD3X0BmPOCeciFBPhwnwMCX\/HkewgP8MQCZMZAyJWGcQ2W+JPoIgXVEEQYdcVc1nOCL\/4FElPQkV6w+BAIGg86TJI5z2BLAwrMGwolXtZt0K568wM+kjQ2\/F5LIMMiL8QMJVCu+4liNI1A7Em+fwBOrcDX2G6j42nBfv1+S4132fXGlcU7vL+QKCSI7\/IqmICcfwFV8TVtUHpDl9wgMr4bc214g9STvBHMTEkLdX0jmcKPP4hf\/QCiKuyEq7qySLxvwC0d5OR2IlMktQJ5Lxp3In2eXUkpfc3Lwxe9U8kY5\/C+oaKyi\/oCLL40\/yRFlcJfDM+\/EQEF2NSKKcpI3fLkzifu2XJR0pxFCJqrfSTgPfHKHe0BwuXHM92bSoQGGapH7ss4WgxnyGdLIMANpgasUJWWm3ecpZ\/yMllSJAM4Dz55jejAIyJv8K1AXffepUN9aou75Xh55kjKBZPcdEMxUCh2DAnNU2HHBaTpAHDj1AOLXwc4gi6fT4q8vsNqQ2DRlojy1lltFxFlYdPU0C9vdU+Yq1SZaR1oEL6ngRLdCGwW3s4E6u4\/TNJFtwCSKgI\/E7p9skmf83L8\/UNaXe5d+JtS\/jpeor8oWmEZJcJZjXTJeoNRzqg\/Zyb57acuYmwKoxbXsliCxGSnutWxpixQ6Vd0l7YI7SS1wnhqd+g8M6P2\/Zfcpp2+MiZOUc9tmoaK70+i429UIiJN8Gs0N5DxsZ1nzSPMm87MzYZbaRNjybArfDnTxoKw3\/llBXbpJ\/yeef4aKr+uyTkFz5HF37PN4z2vZEIAoB2qzsLkyF2PZVstMmzClWzCkt8ZFGpvBzt2pive3Lq7PVBWVYfOcMmoyWExxCVsOt1ZxEXKilRmiZr61w+IyLcMyVtP2F1uWe21r98uy17ONUiOTTifCj30x0eT+EMIkWcNP+Kx\/\/kj9dbLcRVMMjyXYbDV\/jJ7IukPZkQd+pRxC0NPQKJw1BXhRr5VRVivuzu2MYlhWxHGmuH8dYAq0tXwAoO6jLOyNDm17OjwbsDIOLjqungOECDjn3V5+d1z8xdUUs9yt4O5k9uIakWg4oU2gUbF1wV5kyhVa4Vx458GcfF2RdbFx1fUIjUi8\/hRx9ouor2oXz\/KrFMAka5RHF5DIhmzUFXPZ57f82wkGNXywRTDj\/bBJtPWelaoFtu0s1kU7mfMO0XdarQjnvux8WgnY+EyB2\/UwCzMtijt0tUA9G9IUlQp6jh74fSTy6zaMgB6Y5gZnbf8ktRsO9TU5WSOWyJXKHdFIcTQYfcjwMP9WWptQ\/2ZlUez1sl7BiTwq6wlUCGQW8Ka2PEexFVQNNYw0khmvcqCJRhGYZLvV5XZg8i1aXYRU+KYbbvN7D50mKm8i\/aczXZ7SU\/aFWdHrq5Yj26LJYLf9dJfcf5XcKAm0IkerSmZJKEUtPhTHBEr9TMwOFV+G6CNpdYtNTc\/hGQXYf3pkAkz\/tocLNY8S9L3VgN8RmClzvNvujZDtgLoiTlsZzEoTnRSZ1vutxMwmJim+x2whTcsmAw5dH1qT9KQrtHZVM3u09diGMdmXcSq7j\/0xWqK+XoAVei7AxOUYtgvHntS7RYOGDPDBwbjB0v28Pxvqst3k9x1QSXt2L8varV6MQZBJyvL\/9LLv7TRG7lzygARoD+39LCssek60kS5G\/hwOaDSGOGtf0MQcwHZi3iDX7GpauVo6vcPs1rsjoxcW+a6uifqf1TB1b7oUohfRX6NZPDL30qlWQ3U2uBtFM5ZzSFn3UVRwNuwcd9DTMst5pK+0dn0nxI3z7vGpwVjUEWIZE3ECHswsojhm78lP5bGjNh1NQ\/2BM7pe4FO8ibgPF1mXBxKUdVgwk2on+\/Ln9bqTdWHSc+pabv1b0opE8UJEmgRt4iMuAUcYp08w4pcJG0IncLtoviJcdFzUJ6k4OIcYGK3dWhI\/7vFrPp8hei9lfcVed7pcNMyrn\/D712lpOS4R+x8hXyEr9joqT+gzaBhvw\/zPUS3rDzZMjTpkvbH7p3vTh1HS\/xR5HfZgw3BGR0g0DAzZP0j\/s6gv9fpyT+oV1Lc+iQ3j5lf+h0hkHaOkB3t9RcN8FsvxvyfOF\/+L9KDXn0H9T8t6mxrmpXH2O2g55yskFzTmV8gbTT4eA1eMyA8hFsvJuh8lOfoEsi6oD93D6o8lzphzrrW2ttUccNLJn5uZJQNnfH4Nk\/+hSj4MdZJJ1+ZhSCLrn8KGgVh8MPDVBOJ7b3Se89kEKoBgmyjJdbSAQ8vyCVAzzZM4ppLjaAs0\/zDdQ1m\/hqz31r+X9Bn0+oOGkdHkh1Kl8rAh06pyeQ8taxvlaBic3WVfNhqhLCi048Y4LLpLCf9Yff8g67JrMOkzaBjXm35sUUkyVRWXYVla2dIH4r4IVALUObV4XDaKqQqqalJVKpqWXxoZuGAPKJwsZxveRczqOl1+fdA9cQk4Nv3jluODvf7h2j24Kzfa+niv0YaSgRrnw4vtRo9TYFGvYaeDM8DMlRiVtl+KeCi3J+Dv7t3dQgKSSUPfm66NTT8H6lJOlJqT5GJrsMG\/44d\/jgsbYTKb6HajjOGNUhu+eMKXIOJSXn+jL9+ryviZY14IzbjKAEwshJVfP6rhg7I8T5ezX2saRr4R9RZiKpTFO9yhzsnR+pUjif80oPaR+fU+JWzmRJ2Mkwjf7577M0oslPiYr7uZk3Dckyd1yiRFo+zgPnwHpZfrJM+T7uWPrS82jQe+NwUnDjUwgvNAzeQol0AUeeP6pSOjoM2y2hxHJl2ZX3f0i3pdkHo4yBEZi\/tZWgY9isNqIEvw9nodBLZZVuGfyDumVxxvPYuOmE2U3muwk1yYziWq9hza5MwkdqsHG8bEWWMrlI\/i\/bWxYZs0c1bI8aH6yAmNUB5SEVFmTXxFMhDgqgJHuJEB\/PFP\/kWju+MpZX05vy4Evf722S9AJGiJ28HIo3M9SxLZxVmPpa6T7OIy50cVH2wYYRe8s6hSxBrIpeNtZ5dY3Xa+f9kYy6Y6NgSy\/Fa+6007s3u+V1LIanuTZGHYi29dDoSRlQZumI3whWuKg2Trz\/gJ\/vJzMdm6JDpDvFpnTk7WXanl6GWd395+CxHpJXgOR+S64vciMdJarCjvRqq64mcbZJQkxWERfBOWdgpJwf+D2L\/hLA3bk0m\/hGkylVd+k6QMC74fPkzsQRkvgqpTNvhqgzG3gdIFUOBDbWTgqx5nUdMEkv\/wht5gdy8uYdeDTB\/nqAmXZJoKXqmdh1FSDcGv2DDIwcHnkV7CKI7l1Rot44pjSfdyZZJy6vU6w0kUK5zYTkWAwLfw73H14PL0+JrJqFeBu4ADpR6OM+lD++o2oCXR1sNgThsmRkFioA578lZS3hEZGUvx1sQYf3Km0nAuIdGBNcauioVRxkdA3QIQJIgLo8\/O9L59bEr0KhWnso0VcIuSPYthRipr\/yRUoj0l9l2p+9ycJwwYonxftk0RvS6sSrsUZYiSoqz0FCRksDh3blcW+V+5pjJdCEozXDIjeZMN90T4UGLmMODiM9MN\/2HHanT5BbJewWzkY7nOkd1oJTt1U2G2ZIFiLZlCXy8EWbrACpui3BLSgU6CkReAGqcheXWJWRgFe305SlpD3cs6YVtF5sH94MI42m40YBfAKy4B+MJMizCdyRrMddTrCznH+9n1Qyi6FpP3Er7V7S1H2AlEh4LKMoJncj2nLz\/5BOZF5AVp5xCXu2bT5xJbRCEwTjFHeZlp8Gl4wUFqfFT2oGPirEw4MRZd9TJc1mSmWdnU0Pe8DzN1HIAvVj4P4gGonVefVgo8Fk5ARFAGkkREhL6+Mazo9XqU9NiGgWyYJM2yE77HdIqeXt7R4mYlMS2vON3LmlxGhYgQHveJ2ruSu21UTAsViehHZZHdGJa7TGVlGQStSPjeUlqWZYbIZ7r4y6YpgpdzjkagE02KslCbO2lnkVgqgktxJyJygsOdFvwDHEiCI\/OQGprJpCN\/AqQcTN95y6RMZJi\/ywXRB+c7LkS8CKq7OflBzh5cuRkkAZfkVViUbPrEH4nmFHkE0c\/p9acaZk2vUxhVUrSz\/Ab9OgYWVZztF0Wv972w7fKmzxX1ZhFnFv2v4mvY\/DQi87A9ZCEvhJneRqM8SZI0bBRZ3r208v11lfOLQZ1mm7viZOE+ZGzAXWbMef\/W6XVRAouh8MkiQaBYbLIukixlJ64OIn9yqFO4KGiiWFhsKT1G9xiMUtIFb\/FCHhzyczxKQYSek2BkP+eaGEnAZsHRKrNhiFS26A7hZg4WnYKRzpb6zLUGB7ZUOoKEAVec890nvSk1THMFddXlPg0gk7a5HH+FYOfL+47xfkvQ1vutrqSJMstVbQiDAF1wRWwQdNphzqUHN2EbNxyUdhQEI6iiyFTqms3mFvzxfqa21wUHllQkCcWBU+SdZRc8+fOg+3ONOtMSdhQX8QkR4EEiEWknvb4KATjOfMNlId5EbV4\/f0AiaSXES\/LgHcjAQDihD+rdCzn6VNQGeRTAeWBFDL2ICOwIQhbPWo4i68SXS3xNab+hc0WlJ9+zeBZ1s16ZZb0sy1LoDPlE3PFemPK9Rqj1I6kWoN67lpUeamJ6NMGAurWss2E3LGfBorvPEWKlS+6IVnC9FXf0qdxrOn5GACBAWYBlkSSWiogAalEeZJ+IIEjQkkOtcniBADQVUUUUPfwjicy9SFRlFgt1xrbqAvlOBn0Z1J8vqJxQTYzkySk1p1YAIf+QDMFQJIyEAEILN\/KjQmF03prZkh36SG6n6fM2jJN1qQjTtL07ubziR4aNTtJd2SU1zWEPoAyQ9b2widN9lFPEQexVmQVVjCm3xNMU8mXdiW7tRUHc8186rwand3G3jWEKrwJZzbiCuqhJgZWsEwk4IEvAnDgJ7KIvQSKUojsEOiRj2REmNgTaEUUTIX0RdR4AAXLnVd14+gvCDXKCWd+CV\/JuEn5O1yE7yZ33ZlKcnfCjEyLsIhT88dY4MZl4sS5WnmoICKCH3tS9MscvemYwTDrJ343SbRYA4nt8FHPRMJ2eW2kZ6HYhJu5RK+MXkG\/5GqRBcqJ+V3C9OL9Pvm8mSTtH9GG3gCUHyzkJf4CJpbkkqLNPBO9SIJSaMLM8xJg2gysCj66hM5BldLALGVYToYWYuXwkFESTTmLBC8nZG7p8JRvCsyK3Bv7IgXqD1cR8cEHTkDLBzlqypoUorMjFgIHITmwu3hDVxzohl8OH3nRdw0ClEFMH+7nO2u0iy9pfS35nWGJ5ci0kSouTGXOARVMUUBpu2bLDcQeBNP93MtmcAKO+y06cZvJxeW4iVvTScr\/UsrOGJzc2JfdebKhFvTBR8ETkRV0KilJW+sAFIUS5WGOEjMEEhwgzkpM35ikS6\/KX5HIUDQBEmR2PokLYCiQ6c5C7uIpFTAc6zswKyaXuOExl6+RtyQM4IZ8iD+QPvjsPbw2soE5Z90852PdEcTTg88X067KXXSFGXEQI4KtTQXUOi5IvFrr8eDBup7wJO7JA3cI8w33RewpVpqN1hIax1HAgkXWWBxxL6cB83YIFdI7zqLVlSswbDA5nAsiogIOxHUSISH\/8KLdMwb7Wx6GsIj2ULqMyP45FcTOKN3OW2xMtVwNyPwBOT\/oRefKJa8LP\/JkCMXhHZCA14\/p4+DMqelPIOsX31sOw1Ou4lg\/AqzsYdodRnBdF2kFaH81TDa8YiTCx6Karfj9VXhzmmQfJj30sr9Bz4oReVEJWMPeoEycWh6AQBYoJpUtEkIgIJigq41EO+RPBFqFDSQUcEWmKOnW3yCLcqC4kFzgFGIQ6LOEhwDlfhzoSIkiyl2yINuPB118LngiGWpGeo04hQsCUjL+Q9IyKYflynWP9MMnLuihZjIzhu4jzsl2m6fQx5IjARLQ+XHQCzy+4TlyfICDTNIETPhw10Zc+HmWcYLx415L87BcAY6l9v4XiAHcUjCURZJ1qZalZ6AeQiCwLzUOfmpQagvHox1JLJCSjP\/\/oz2DXbYoMU4x5I5chWxacFHhvm7v7MCu5p8+I5i3FQdqGjyFiQG8eXZ1c7\/J907ViA\/UGd4kRBGtMHkjgXZIPFBGGeLsv0jmE6fBxZZtHFxc+kq0PcRHdV18fSGSdJSXwwi3l3LVpAVqKVMup+PBIzcAQeDq0WHpXGUST8QQuCXRpEI5qYL25O0hEIoMgZsP8BStCLRpHGhLvKz\/mxXxppwvsyMq3Qt7fQw3CEXfwjJw+OyMgT\/CcaFJmBXlIvXtPf41q8OgPARc3ftweQ3ycB9NTn+BES3MiWDOeaxFya0nrSWSd0iJCRb4FE8c0S4GflJ5awxVQlINciCTWxUZ8sTvZLKQKCRH\/EQY3\/iQmA9lApBrZOlz1uVqWHOmoT2wb+Ed14QhC\/qw8wZq5MiuxXaQmyA3zk7wJuhrCcvyn5NfCH4rtNUxNlNJ\/meQWRL4m\/0a70zBSTsIOyNipsrTel3oUYUARRx54JfJJD18JIl7UK2j\/OBFS3\/0hPcNc\/dAowU1wKTrJN4C6CqW+kbMHnzXHnhx39jXrouB+PEkWrBGpCGlMuCYPcqu5G5tKiV9A\/U9QMf6aRoIZOSX7REgkBtgRB1zg5Cc8CKwDDGWHv4sKEoRYfmdS4JL6l1gRCYJIoUX+CBMUeTuHINITVIERnqKIBHW6JJjsofqYF4WBIsLqYBy2CccQaxUup4SYO33Rm9ZPq5dWxGdZmcFJXqDl5BIFFvDhZvG90z0oQIloJNPpoQGyQsRAoEV8ViKnMQk\/I1JJO4GUnHkhGBFkxnF3ZLXwBpKRaDFyxbpCFjjjWjpKAVpyw829eY8w8COVyKiu4oi8cnr9sax\/kpUZgIaFXYq0g0RMGXGiaPQQBECUTRrqUkbKOmSMVSE9MrMSSHBEbAqef\/CAmIhFf8mGsQUciqsgLgklksuDUdh8POBoJHTjx7ykpUkzZTp590\/K4E9SsSr6hrGpTJ18Jg0jvanrniBhIvAeacc4jiyoiBHCHAQsIh2UOilmDR9BIeqMIwEGUNIgGTjgvR5B+\/DV7LOncAJ24MRsGYX\/uCmRlQqQeAuKMSL67pT1LpzRx1W2SDnuyIwd6svdG5YaBqh\/Cg1DXQxYWERiAEOB7RalYREADYAgQFIklo8TuwIaIiGpVJekdqLJP1xLBaL0\/QWupDd1VerC3ZwwQgQ+ij38kDkyoy8hFFFAYiST2mAoK9rNdUoiSUAeROnLbBB5YLXMWfWL6wfLcQX1Py\/rIS1HQOLKwdI6WKnJiRkkidCzVKwPUSxEgDH5T43tRBlVwTpxqAqiLg4OhB3\/zERmwqnpmbGTTZk8oJfEB4BSd7wHfZGrzxQpXG0ja2CKKPwJXz4BRIcu1q3MJi92+FTDzeOuaJg\/LevtxlbaAViiBqQEEGw6PWbwo8xIYVxBpWCICIjggYjEhU42FvQLzAHBTEwUkQV8iSWxcMMfgEnwfJ6iyeRKghGfN+G9pQoZyT8sIbJOoyAubox7Ib57wMS6kophGtavf2r4woq7P4v639QwEBWwCzkV0NlqRdzo6UoipWVjEIknVK6oApP0a04IKYIuBaM58JgF4w9mBIYtg54i88gETiRlVtKOpALY0hgN2OGSvvy5f7AoysvfwKVCu3G3dIFOuwxwTQ1Tz69\/Jr0uvSmllAUkbIKAE0y44Om8vN6UMrp6QFxcOzOHGBJtYO4dAhzLTSAglE5jMSV+zN9VHS9ZVYiKfwlhAjpER7OGfH3giEuGOpjJco01WZbIMu+FtgGPPp+NmJXVpZ9KrwN1sbs8Hq7MKIF0mK4oKJUvILFnLEaV+dQFFQMctUoQRcE4LiHiMxl8cGKlITKVEtM7T1SnqwDyIDXAaC6YXgI3b4R82fjIiogzYiEaxQOMI56wC1\/44SRNBheuN31sr38KG0bKIPoaQJBbKmQiAk8cIbu049GnzRnan1XqLJDNBAkgyAxmokUFIdEQdHOnOtAcaQ0nVkFm7iphcItrgCICyjSOjDqbyOM7vyOJJEKVQD0zFZ8ESu32FwvpLDzL7GHgkKyomkRDMRS08yllXVZmCEy0xsgv5E0OVDsUWVEobOxUHJQyE+kuN5i90jpm0WeiQed82Cy4yLNSFekkT2IMe7lGY2jiZPcqXhBG\/BCWJCNzFrAjYWx53gKAxb3T4QrrHFESeAJvydBlywYDsRYGkZZ16Fgj5\/SlrJBHVKq0F\/SmjZ48TFsSUPczvX+M5H1TMOtKIoUQdcIWKmVk6eSMMCksV9P9ZfeLot22B1tFwu1GAAlEH0oKwIACfuOj6KVZERZ6YEx8aW0vLS33oTLDOG3v8XtEfHKDLBkfWdrunOs4zCRY5OE\/dv97UdjtbStf0XGQo8VA0sEHmIC8z6QdEmWeyeNQmiI0jkedvDrUqWGWc36\/tJL63yFB3Qk2efXIUu5dm5W6oLhLlUDQ5ipK7PYIUKEgnTS0CR8TKu5J7ghXRn8fX3K9XZTaQvMVgSxGpqiKnIvSuP4hMFN+XsEnULoVTiN5OS+KdvKwGLl3CM4vDn4kLhK\/4yVdjUg1fIC659XzBaYJuJN\/Uf9oPVzTK7L+8HH5z6BhiDoZdCqb2BNjOOVS5EhsBV8+li1p2SmLBJk+3v4KIOGbZEV7b\/97CUp1FGm9A9DV2dT+SHYO2za5vUWkPNw\/Pu\/aNuQXuCW2nEKtQB7nc93mlm1RXvY2BypptUdcwQRUN4tWFgVRUtii3Gvv78YLKjk+EeUKGvQ4EAxKvVN9bLBu2Ora5lLDPJH1z4A6JZ1wglGPPAWG3ANvKQN1KC+pEEzXhl2kMVGc2hBFQjhUNT+icTO9gTaGXN9W0DlBlLXauTnNEAnJ+iYptvM4B9iDW3VPrZLzHSUEnMKt47xoZ8foEtFAkL+JTJy3G6WeHe9ZLrTudItGdgqGcGtIBpfxiXSgFZJpkXf3R8TpzRol6mLD1J1psPMZelMn62KT4wd5kVKgSLXWkZIRbzOEJEGyktY\/YdgY833RMjmf84t+wIgqILo73ZF1CjBczqBeiFa1k4WlW7+bb293oW56I+iIMzX9Ybsy3ck6s\/y0WDkKKoA3Db80wga\/OR2W+Sm3\/V2Y07gTT1F9Ha6dBOCCvWfOQY8GQNUjjIulQ2NoAdT9jIDIOp9vmgxl9qgvq+K\/JbFhCLhIC4aPBIF4k\/UFZZ9eNCj7MDhYPmWurN2MTnd2xKqAIol15zQpBTf7Aydo4jMVZ7aVxXxhmrIL1BG5a4vpDrRFEtxjQJtsoyv2g5nD9l8h+uc0uodHLp0FP4MGtQRdsnPY5FrB72V7DNQR23A0JrrEN0mv4r3AS23Q+AGvRH1F1ifogaKs8eWCqq3e4PG\/J5F1yjQbJWWZPRULwX8WAKCL7HtVg1B0h+0pVQ28ELd\/rnNtzmPN7\/nGURQf75xVdxf2RxrRpr9V55vfZZ9NY5oH2fWMfSoU2j2FngqGjet0altJFDdbXD1ljux3rn0Xgtpml5x3ZkGwSG3vDqKO0YNoPKIrou2cXgWy22cVzDG+UItoaTmKrHO\/PDv+60tobRPA02dF4\/9nJKi71ykoKmRXkEYl1BpTpIdSDkFCMN9otMl5\/7aCSUHBM0mZL4KKO4RL2VEvXbsRZkmSH6Un7DCTdgtdbFKG+xqxNvlRx1hnqDsmBzZDk4QhLgTfiLI+BU9z3Jf8KFynqM28DP8pYySALSrcgkOyJuMLUTP84QjmFxRz8ioaRmTdYXtabmxsfMFvoyeoP1mY8Z\/Q6vw6saVqpIvsszIc3k7hsIgoR6TTIxR+gQCxo81h2Z3dI0CUEzxgW2Zl2SugqMsyu9lh8+hB\/exNB\/cIv4\/TslcWe3zLV9KjPu+OLrhq8zrppbHRGfMH4qhnVqSJj4off5ffbpJvVxFHTZQDMCjdD5ugMxbdGI5MsmaYNdyiYSjrTtT5FuA\/G43GRqNwCw\/raYL\/llZlneMLEWwxwUTq5UJKhoBa8itVBfLiAbUDTJlur3vOiISAMmb6qrrFEBLZV\/x8AHJZVDijjHSzLwAFAFTqyC38XWCoSm8IKIjKAVGRoTnf8Quv6E\/Rd\/AuEcafwx5DZFE8IjpIyDsZ2OvehiEhn0XS2vjyZcMm\/Hagn4h8tEbo3ydnw5BdcolCufYKg8DpF4ibs8TEnhmK1CPukIsxaSWwZPygsKuj+sUYD8UAQ3xOlBA9MVYEJI5lzOJsshhIE2JHImkBm1GTwXkfFtCMbxCgOkRpcaLA5SuNcmHIjwH0uIXclycZ0zF\/b9DjyJ5\/J936x71bzUUprL2ovQH7qIi9yoG3e63rvySifsdSkP3hnIiTdZQKJWEDdn8Cl5S6li+WFcUXeUUvRqBFdBEO405iEQdGMsCVtTQgwkACSqLvlK7\/1aCawXyOuOCBTQvXVPr8VMRc8uYt54vB3JlVuEXNXc2nqB7+EMhgZEFZd3rdrzbCELnY2OBrQu76jxBXIXWkvQrrECuwTczIv4AMBwvk8F5AmwN7xJKDBwsIUeg8eIIRI0BdMSWCHGgSmeNKBwh8KOZwoTtFFwmEOSJg1Dm0BS55ARmeQ8A554n4+EEyyI5M4bv7SIhji6zjn\/6spFXURbQp1SYdN3b5At2fI45NYQN73gVlFEBYXwIsHuJFAKU8TusAgTOqZ8GOhCBBTVxEhXYQKsGHMviaNqTMYtJ7xi+XoNqgczBugQsdAjKnUsdNqfuh8VwGMmMMHB03nlk62RuLu75m1sIptNxyHsZ3p1x4qLOMr77w+g\/RUsOAWxF5waouEI\/48Vq8KGBywgHaYn4ay64XCf67+VE3RhqHOQFmRM7fIKGKpvqOugVAcJqXJopEmUc6v7pj92rUKb9\/OoLFQ7ww9Eq6V13O9eICd8VNCaYIOniSNriCPE61JYB2gLznsOqRcif9ilGS7JnB4lLWb7npsn8t6w+RaBiwCd3IQTXULRiGJPriEGTaLygqLUXv68P40i7MQ34IPGy3bdGkbS7d4CkhlTisIKX47e8jTgabvP3Vlu2WfHtgzo1LbIEs0hjjmTzLk7T3rQOlD9u+ZdtlWbSLdkaTkhUG7YP78tmdPL8TEcDfAt0PmGRtiMCAT3bLiMrKc6MkICxrndlruq7zT2p1J+vQ64KtWGSuJChhrUxYEJRMSoM\/jkIEdyIwnJH7uG2TnVtYiYSVEKGQtAvcq6Ww6gHumJO8Ktq1+4eQ7LgX7sX8lsaeHga3cWmzjur0yk7QyZrxYhBlBz\/yCFJ5q+LygDMM6lwgxA8sODmXI5hEDVCynZZhAEWFnKKOhnNqGPcsiWDzo3fy\/bc\/KukO9UgkQwrCQnHdj4yta5hriJeRIGi15HPZybRl81P4A3J0j7pni\/0C1C56Cffa6fSKNCu2uwiP921+zZhxGeYwJmxi0IuaZNsmZ2q028yyI22qOwxRk1kFlBeBikawS1mZwJXIC4tya\/7VHb74OQ6FWbQFmrpOwzxaI\/AJSJ5WL41GMOrmGX1vKX9UpHLBkuGwFgjbh1\/M5u4vIuZz1YGSn0LTf0u603gWmLzcS3YAcL5Q17ptOUdM1L9m8Y0N3Ty93g+zCMPQ6+iU5or2n+MQoFEpJOopdgW8swOaf2hsuOAUuzx5gZA4\/FkWWJiokp10+TWTPyveaySyPqdZQE5Fchycz\/1J2FoUWWHlUMcVPwpwLnO+oJ3oDgDffSv5DqD+bjkBxi+ai6pAg0hv0rCtgWcw08V4V+RYjM7FtB2mRkXRHMgTbQe4mIlS88KAO3KkwAs+sKbHskMC+nPov\/4p13651aWfTdaFcbbcn\/xJsaRM7o+dLEyFGnU1uBvdcZJLtmnk7PtUZ+Owl2W9Imy002nUgchHQLAPdd2MRMOg4+trfrcKxqMMdVXFzQ64iQwfbGBQI9twQrGw0QHTVYbwR73unRR2MQdEGDhAnRP1Df+uhvSnn4PkWZI0V3SZ1CUYxvBg5uik2I+yw4IEwQ8nCUG7pwdRQtkg6zctQd2Yc92dRqYzOh517uK40+lEp3H+7SRPs9KGRaqvI77FjG7XXO0XybzTQy8KHqRXnXHfAWQCCb1O9lvZMaFWqgMdf8TdfahjqDMwUsJgjqzin\/ygHmTAKv8UCxxQB0jAaoANU885fiJZ90\/wRG6BIRdPidQDcHCPyhBv6cIQSwIAOQrtyoxKMGoa8nsFho\/6sxyqnJvzon+o2B8CpIW6Nckev\/x\/y8n1chon\/Pwg+khc9ZKRbhb77BfYjIituYdmt0V2omN9WRy0D2G\/oEpx4PQc65\/yTqmAmYqj9EQykiCjIgwc26Jrh0NsmPXVpZ+AvKy7ySqeKUJElvIvLZVFFpGC9he0XTR40BZn+eKTXc3SDk2S8pkcEWKpMeARrYue+q57pDlnw8faZVH2KL7QAJwSLoq9vIMumrs3IAKTq9uFPkIATKHs5hyAon1JtoZWIycavMEinMgjVAIuEsJ2CNFHMAwqGZs+Xr\/+CchZjmzbABI6kXzjSDnxAEvxWAEYnEixcEUfeWCD+hGkKKJ96OBUjBkWHBKIhIiNuAMgD7SYmh3mNae+EEhT3uCKMy5yD\/7VDmRzLYypvgiAdPcUcql5aDlpdDJK5p9vfi4m+CbqXOTzYDl+pt6UqN+JLpQGDmzAsrigPMg9ioIC4pKyzUYtLZvFJBhQn\/AUODm85Qv5kpajFk6uOE0Aj7oa0eVKJQFupHfTX5ypkfsynvsHrgxBeyCa4oesyAJCmDNiE3yCS4kAS2SWs6T0R3zUMWUpIurrb8h8AnKyLogQKYgPyuEEyJUIzEsozvUzD2fDUXRFFTGKMy1kmkqmqFAXTvjqtNDvTMwoRA8xfAh9QGxHzJU2CKOzwxCC3mZOBJG3gSEDFxsTrCfHAP8oHBQN92zDMQ473o9N3U4Knw512mzgHwUillDgUjYoCRRAtCaRAA5Om3JWFiqeIHpYIWyC5Dm9YYVC7JyWpe4X8ROkKcQ4sUd0D53QL9KHNiFhRe5IwmypvkFIhC6SbYyhjg\/kBsXEJkSGHbxsk8K1hLNKeS8+pYENs\/Fox9hPQA51CogXTriBL1FioVk0lgdQARiGUM5ZPP8jJHyMQ70vQyZ2fCw34zkjjuAiGHEhg05vo2boLSRTayDixipjItghUtdyY6SSmmNt4f7wJm+it3DgvcgvGUYQeORdRCtCaoh6rdc\/mazfUW5FsVI5s0wEiyC4PouyLDIoPgyREjJUHus4eR+ghij00kUCCiohpJNkyJMRRRxl0SoaF7oBuqSC+MIMFwW7BkHlBb0lle0iSP6u82FHzWicyWWYy4Ih5N\/dgTdkW4DK3JGdSljSarmh45+ncrxFWRdpG6AMRBPyYoAh0fCCQ5wZKLJOB30JB+KzOTMGDEeGLpiDeLCOvIviCEJEKmBxoU\/0mQusAHFJLooIMO+IxsZrEWWKcM2FZCfNQpxEHeTyQcVIJZooP9j4HnEOhjOivtB\/nPgOHtdTCVEMOf1E4RbTDv8gmioggAjx5IFDb3ogRGavILdIRidjwElbxaVdSFqa22IpSiicTC4OJp8x6ZDviaAGJK48vkNKyZIZyF2ZFD+aJoiFePwTY9RlTfMUB0i4ZIR4aAicEeDY9P4zyTpGSWWeTPXN9DDBKZlu8m9zesPD5uH0Bj5wJNNDBPKPcRiY4I\/BOqGLMZAFrpmecV0acR1OXQji1qE+kJ5yYoY+f\/ohZ\/jWtxWeageyYJCkdfmDP175eJuSOxPKLZJeY9zrVPcysf5pKGs3GrIU6n+Xwsztvy7PTD8HmVhDOBJu1w3hoNRQpvB\/QwF1ToichLqrVT\/v5h9dS5\/6LEINf7aa9cBNIbYjEWn6+OTiKfHdtfuXa5cU5\/Uw+cdBuFgy5vPDrwN9rmSnqE9BQfD\/AfOBcxYNnrMdAAAAAElFTkSuQmCC\" alt=\"\"><\/p>\n\n\n\n<p>Ans: 145.00 &#8211; 150.00<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. Air is held inside a non-insulated cylinder using a piston (mass M=25 kg and area A=100 cm2) and stoppers (of negligible area), as shown in the figure. The initial pressure Pi and temperature Ti of air inside the cylinder are 200 kPa and 400\u00b0C, respectively. The ambient pressure P\u00a5\u00a0and temperature T\u00a5\u00a0are 100 kPa and [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":161499,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-161498","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/161498","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=161498"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/161498\/revisions"}],"predecessor-version":[{"id":161500,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/161498\/revisions\/161500"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/161499"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=161498"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=161498"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=161498"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}