c) \(\left\{ \begin{array}{l}x \ge 0\\x + y > 5\\x - y > 0\end{array} \right.\)
Xác định miền nghiệm của từng bất phương trình bậc nhất hai ẩn.
Miền không bị gạch là miền nghiệm của hệ bất phương trình đã cho.
Miền nghiệm của bất phương trình \(x \ge 0\) là nửa mặt phẳng bờ Oy chứa điểm (1;0) kể cả trục Oy.
Xác định miền nghiệm của bất phương trình \(x + y > 5\)
+ Vẽ đường thẳng d: \(x + y = 5\)
+ Vì \(0 + 0 = 0 < 5\) nên tọa độ điểm O(0;0) không thỏa mãn bất phương trình \(x + y > 5\).
Do đó, miền nghiệm của bất phương trình \(x + y > 5\) là nửa mặt phẳng bờ d không chứa gốc tọa độ O.
Xác định miền nghiệm của bất phương trình \(x - y < 0\)
+ Vẽ đường thẳng d: \(x - y = 0\)
+ Vì \(1 - 0 = 1 > 0\) nên tọa độ điểm (1;0) không thỏa mãn bất phương trình \(x - y < 0\)
Do đó, miền nghiệm của bất phương trình \(x - y < 0\) là nửa mặt phẳng bờ d’ không chứa điểm (1;0).
Vậy miền nghiệm của hệ bất phương trình đã cho là miền màu nâu (không kể d và d’)
<img 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+BZ6KeE9VcNqn62ZU+3rz/KyjiOQ304YEArh5d2065uqe+ISUy1fhvFON36nu/2N55e/HjIMTfhhlbnX1sKfjLOO0ARo/zgbx4yXhb3dcUIl+nwPz6NKc84qOJlcAOx3gGXDjNSDONtajue6CjuJaUS6YD/OS/hvIBwNAY2ck9vvsowCyq8bOMhywZijm8OvxnRAt1RZ47U75kHplQViILBT6CQl0HKRW73zPeiXfXEI44yiS5kQhg8Zkix1rPXDd8x+xywMg6BDjEYbCDG2i2dctcD9Ua2WNVl6F7PvQVG1UKg29puaOvMc/EdMvDw3X19IWRPzHwvTrjl/rYqLUZYVFdidggWxOBlAXOpB7c4ehzX0324horiyHTf5wfKCqgifKQ6ajwbtjEqJRyoecQZbQs1dlb/Y9UOdS2HI4sPDt0zhIMQcEB7MGu6B7NHDQ9HpXUgY+xYvLY1dZHp1rMvWQhWxg3d53++ECi/vdtRm+wLDt8++zrOoX+y5ozJGfS1tbevKki4oftnH8N8O2R0ytlh/VWJzKCEE0npDaj+0h2S1o6AdPWG9VhCnv98rdRESqIpf8S6E77H4+lB6R6ISHtPyHCW3zXhaNR8xrSreM/lYXDmOwkWTH31Xurb0R2Uzt6Q1Nf2SXPbgKRHsubZefcDVxmtJ+rzz1mobuh73IVkNq30CUpfMCZVzar8Yhu6qQky0ZlRtRCK2X2my04pvnxHZTiso3GHdgd+WxlnW5IRm5XHuI/wfNDKOByHNzrcY68z1xbpqlyH2oN1gzuK38MuBwMcV1NIzyuCIY+TIq+rUkEU2E1a+czqk9PekULwY3tLDPxuyY0TJlSCiWaIwYxabMxRD+DEnkHifkN5bigvsodnH6tUxqW7HJORgcDWuWbtllnXFYNXn80jHPLjO1/+mBNav+tu6e5ozwu1d6N13wO+xy06DhVY4wDMGlef41Po72rxPT4NrRuffUcekfe97GV5LxQfGsr7PQtTgYF+KNR4FvGcE0HgOzDUbbhNarfeLxe9Ze/sCk/hlBNt73JTV3oII/cBHQmN13loeNb75GGKaAx03nPzIhp4/Z83yzv/ocFUErf3JX/+lLyKn1Ki7b3Xt87geFOHxLXLP7r6oFoo49LYG5DuoZMSjAf1pSMqr1tMaqDdw7Nd4mUTzS/lDWBE6m8+IKTogWgNobb89Dwd9fm/PejvavI9Xg6CA32+xw26dCTUwcSvzuDamqCEx4akR+vO7107r5HcUEb6dGR/+38u19F2SFK5IVkVGnZGXff9jJju3x6E43HzWYU+Q7gDyh4yzepCYFRRt/Zmeefn/3tWa58KTmvd53TJYigk0zK9u5wuqd0TjiK0w1o/9pp5d08A0XDoHV9zs88LLC3RWqtLEwzMdSCAYHuPqeUTK2y3lk00Pv0It5REswSDU5gxw0JB+3fX1WKhRk96HS51XGDW6imLaMxMU9GQ2oQsdD2x7paZF1kiohXrkrwkMSfYkDZAcLFUDrivN5w0XqIqnG6E4+PhQKOGSFxAAZbT3Khdd+vUyywB0VStqMTfD5Ijw9LUl5Ijau34EmGORAMVdU8vapXjFp1oZQh9P3g5DQbAAbt5T4+kjGf5FBEN1G0kQ43/S4P5EG2gu8X3meWgVPeEaJhuaAzYuW6hP2+iUcBJBQ8IZEaNAMbji2HdoHYcbO7IOAgwGw7R/M85ZpDPcbD3PolMuZGIHEDoI7dKvZDFXGUaEVDH2hLGqvA7D6aJhv8Id3RjN1GNMynNOFmM01KTjn5zwkcdAXPhNCv0I6pEup9lwSi240Cf8f4ancsHCzUQMPeAx3cgPTOhM+/uaYkGjq++aRYBKiWaWw8rRDQvIFxte9y4nnCYcmyxRk9UnLrmoIkrXhCiOXpcPuEqIVpr9f15ZZdLNC946UAibSbICwYBzpFooCxOs3oajkS67479fUbZq9fvA4PDhvq2O3sV4HKJ5qeHzZVowMtp1A8lFX+a6WYLQTTmN1EOEYT0XwS/JUS5nOaGVYDLIpoSDGLzMgw2yFbKWEiiecG7oZPuOtg/i0gLwmlzIRpAjytJtCJ6GESj8fD48oKlXsaNSmUaZTO5vX1/r8THC3uRwTTRvClrLEils2LDuO85g+Hh6e9cmxodNSlw4no8kMxIT/0+35Q+Bsc2a5efyC/PhUgsNusYqYN6IoNS2xIyzwPea0BscND3+DRc9fYiqe9gytVrmjoj0jGgKogrTZAtuyCnQfFxBV0HodoTGzItT5YHJkLCU/lsC7UMFTix1kcdmfK4FkO53ZNnb9rVY5IDTKsFizB6cjw0NC5NHc4AU4WQxAglhgzD3MozLp5r9wQQjU834crxh4G5yjQI19AelsbewWnPxCws9ui5EEQD6HHoYdb4ZtqOYGm34ujGQg0ElI1MxJJBRprjpxPReCBcihrCRMefffR+4ybHO9oTHJRPveVf8q53A8UU11NtW9yUsZijJ/WuUbWJgCBvgy0Y0SgYQmC67D0SNNP9dGky1xCvTzfwPqzl0U/L1b/9ufS4zsFlwaB/AgEvoom4STjAxG8hZ2MhVCrTKB+9c/+JYOEuPYVpoh2oJezKCdnE6ieegZsh1ly75+8qh42fzMlffWPTdJe0CEZLc5GX0yA8RjtdOqBCvxhHzHcg4L0RG4Tqezlx0WVaarLwDH0oUTyJXTndkxck7Riz+O7jCz16cgxHBmvQAvFB89tEShZChlUqPseBWZhmf4ujFNIyzO4Qp9vYmzR5J8kevWpTuwnNd1cqFFfCucpzwxDN53hR8OyJSTl0vE8YaMyz/K6jsf2OK9I+x9wwnKafVfYl/ICehmBGdk2nX1Q5s+9YSPoSMy3qJgbf6ZLu0dMLIjIbewYlVKCrLuRAgLlEuiHewxyDAK7zbrjfww/T3ZPgEBx96GqtUylzbF+utHu6H1qMaG4E+oOGC4l/Y0EYZSzW6EnZLBUgsLrQeb/jFgsu03igW+iXIhotj6rBLFJ/V1/euWgiYRyAZMia5pAyUalMIz+v1RlLPWtBiWZbiIcyhOOxaOqKmVAqPCi4ZQjj4px3RAIQO9AXmP7t5rRf3lljysV0gxuts9GC8r7+X9+a/j3fgcDojKpbko/ES8SyiUZBdFlmdAgChAMImW/sTpjhn4dYoqF180C0cHLlessrBkO4gZD5bon2nb/5Q/mb82+U/7ovKJ+65i752ofPk3ecd54qzc+Sb929XT735R9KffMeqfq9V02Xs9CjJ4RzdMZ+SY04EUlV6GcsomDuk2jFb/3FC6flml3G7Ac4jYd49TALuiflICfxpPpxmB+C4dg00X79pb+XJ/3ZBXLloym57GP/LBN6LKEgrM9ev2flJ+WRE+2mLiQvaO+byWDji3kOBFwzi9O+8RcvmP6uhn3eOS8KEQz4yTQIB8cSbTl9/KQTac26Bkbm1oFB6etxnJGFwKjudxxYTuNZyEs4JO+ahRg9vSfcMqOoTPP85oGWm9CTukLOjkGsiWpSJRRLg+7LNe7KccymJ7P3w2nBeGL6mkpQqHvyTHTIbft6zChtn+W9xnvMjbJkGt2TwpkLhEOwPw83x2Xjvn5p7JrR6v0eVq7K4QVlBSPOHggB7ap+1xRDpTINi4JssDy3bKIhcw6p1b91X6/JpQuXWG7wcpq7UK5Bt2NJoN9QPVeiAffoGRwImudu399vupubQ56nNq79bjGfgYCyGflZ6GtXHbrPlz162u8U4O6SXj2NB2IxMAfJ91JE4xoGCsLXWagLZ6Fk4x2G09zqSaA3Xy5x3+c+9gnjeuK7+9xCj56UD3MQYZAYdsoui2i50GYj6/7ymTMtW8gi4CFwa1tf0gj3h1a3yPbqXrPukzL8uNILN6cBGmugZ2D6d9fOe8xnVdXTzSfEJVEfo/RCE80NOI33K0k0KkSL8rJ8EhbA0u16Vv8m0FtOmoK8D/TjNLgHtQAzphjxvEQDEM7qccVgiZZU492Zzcrm122eROOzip0pHCM8aLRufGo2psMO7VVVf2i+1WVnZq39OM2NFImAfY67wTPYToWMyW4i4oR0Xwd4IRowEMrPWuVFIU6jYdlIsaY2ON3tvShGNGjxtW863hMn/c4Ns1PN3HqvyAee/xKTkubmm8blF9ek5ZcKm6Lm/DdeILfcIzP3TB0HN90xIbXKldPnFDf/aub7LXdyjX5X3KC/r7l+SH78Pwn57pUR+cWv0vKSl47Lb28allvvnjApeGzZN1/JPRNy/a+j02V5cf1tQ77HLW7+xtTnVLn/9YOw/Fbf9TcP6Lvcoce4bln+PRav/ItxOee8sTJlmmcps2nxQSfbFT4s20J8Ao6FM0PyjGc+W6qe/Xod1hMSWzNmjtvr3OV54e2eOBvxxuR2zRwL4o9zXWNRSqal2wt3T5Yn1TSFfSeojf46WmD0dF8M0fg91K9dRoU7SeeOtcRk2/6AEcKoAOZa1eq5bvPuHmOPQlQr0y75dY1Trh605frBpnoAfjLNgucwE76rZkD6g9G8+mbrSxPN5EP3Pe6Unduc/xvx8fzn/L5Ejt8ldVMJBKr6Njt79DFPcLAxJn3D5cVyYDTb77kNs88j09780ufJ6pX3FBX6Fm5u9hKNulAGnIrMrVN9EvVkh+pu+ONoJFJ4Bx5SeTxa3jIfP5jnHJx9fFz/ffreThkcdmawquwL84Ob3BeXSzT38mUL7+hJ2aSXwFXEJAnPs6OuIcThhBmVMbv6AxFDJNt4poypVvZDoGdKj9MKw2mUzYTx0RZHZ7TXkWBlLqMnx/lj9CQBgeme7ot5EYZq8gWR1Mhv+aAtxHsc8KL0/96o492ASIfvChtThSl9t3rCd7RvrBI3N/p1T78EUxaOHucQrlD3JHK9+bqUio/C6YMKHbcwetpuJVqxC+G04UccTuDlTIZAlWkMAMe0FdHkY+MzU37ue92clnVlIPCDtTQoB4dlV+/sOchS6SEoQ973vqIyLZPQzylOQ2dEPrudjeb81Hc/GD1NOalqQIU4a9FxoVAIDjeMcyqN/8p7I0RGthxtxjOhfbx19jWglBnlRm5n/m/LaTQEWbGQtykV4PxmkodAaULccXiSJoP6jigncr67syevrFko0D0hXPi+kVk6oxvxoTJsT3LU+h0HVrllIT8PwQNCEI09Xw7RprvpJjGDkd13ZiAUMYTAuwIh3L2BY1gVLLCwx0D2mPMJpwWjs70jlpuLybRMcOY7z0RjIAkpeU34HZ9Ks12UaKNFhG8h25OXJGNMcDAnD65qlu3r+gynEMZgUiTqOS8hvPDKtOzR/PNuUBaeid0nAtoDWCTrdM9gLN8fR8OY70WIVgqptTkjPqrY4Rs70u+iya1uQjg+NabAcC7uVWO8WQW4jbv3EsFyWs6VCKqmNuIbeOKFl2hDKlfdv4sBTwR1Yb1DT2Bm9MxaEVCEaMUaEsQzU5yGGkDmBOQaqRHpJqS6ZrSZdCmcXhhOK8KJ093Tk0vSggpCwNoD8WlLwcJv9OTljdzRroKbhjAB5BqWQrzW8cRSpncgCEz54451x02wdSF5RRLPkkQbK6d7KhhlmIGy27XZcxBtuvV8UI5M40XHVzvdC7ZHzbnvkUbp6mGVSr56UgxubvYbPQf6XP445TTKDGQcnRHm4DfKdUmiWS+H94QbfsothEPnOtQQlhGfHJMQAkJH1PbEE0zF0NfYmJVIS87ltbZPOjLLaVx79HBUjjb5b/9r4d471I9oaTUD+7unJqQLdE/qtO942GRn9ePGjMrVkkTLdM0QzbSEgn33GLlI93W40SEE3RvvK5vXwDG2teC07KH8MsuFu3u6bUEahC7N8wsREaLZ+iJvIcK+GwdM4w0wIV2mTON+uJ9exvfcChfRWPw+EIlLZ09I2juD0tIekP5QTPr3DspLXiYmbY03lUwpJDJp6ewOSrA+LjG/lDYWaZ9jilAkMv09pqqF/U5dE9m0BGx99RmktKlr7NPRMm5S3EQS8enrLWJR5zPC90Gf+pSRPieWHZT+YETau0JSRfAagnhWf1aW9+ue08jOVjnccMs0OAQPCYsr3M/BK2G/kwULSwN/PJWDa5neo6vMqpsLbncRYJGsXTHoPj4N5bRAJN+RaZ0FxZ4DfLsn7EwYVItq2fwuRrShm/z1NPvg2OiwdEazSoSA7GDus9eJ56CBIIRJW3hVzKT/gqjucvxGz0LIHsn/7ZVp1AcHAStzEmMzzBFwhXkZQ57Pqd+zoMY0n2UNBIC/fQ+vywtt79h3j/zrm7rk7Ld2Ssse1xqBMsGq5Laalb7nSoGNrouuhimGXff4b/ZfFu6ZlZCgEvQ0HtDnO+l+AMsDWi65WGqDJ6U1MGzMRQY+v4bzG9zKhcmvVESOF0NBJioTlsksSjKbBebb3kfWm8V2//Pt/fKjL66R73/yHlm9jIa/R8J77pPvfvdL0r7vfvnZ5R+VjiJM+ERmNlZqtlx4oS+NLazm1hUd0oE/JC19TiKeeOoh+ZdvbZ4l0YrBy2wj2Q45/5LL5JP/s7FkOaeM2Szq20W++rl+2XT7AxI6doe88bVBGTiyTNp232UIUrf7QfnPz39VWs8wWx56Wg5Kyznn+NK0GNb+4u1yd9uYPLXqOSbYDP9Tff0GaYyNGR2jQ02Et734yfKb+3ZIJM10o/NX9Yy/VuWg0Qy97r8rL/kj2TM0KX+rbTXt/ymARWU2CgdwPEAlRnFqVvsJy54oQPw9OL827EjK7odWOcOrNmL73nvkmfoCVy+7WZpZ2FkErSr92mpW+J4rheYdy5TZ1vmeK4mddzvM5neuJO52mM33XGG07r1PWs86W2JlzKL7AWZ54OG1sm37NglPZTEe6D0qHSlnBj/Qc0A27Tkka7ZvlyMxRx+kDSfGc7JZf4SzI2ZegQBj45FRhXLnutUS02u4thgWnNksg7kPlgMSb1pF+Ni6bfKlr39POvf692ovnhCSbZ8y2TnnTUuPueTutVgsnQ2BQtvjM63vZuFMjwlTwTK05733VIJ5D6MWbmazwJCoXe/kcyqGxzWz7V0ubRe+W7bUBM1EHpuIYK3OZ1v7U2Ug2BGO4TqUGzcj2vbqfuN4spnLiwmqRWU2i30q9smh4NsYiscls6kka7noYl96ACSbbRgajwlUJhCZfCAFqJUy3vvA6W6N2uuIDtyq7wRTmu07ss4MkT0/zWwc4AQ6Aroa0X7MbDDlTvA/rk02MGH9DZGByx8NyomWsJlQYDqee2xPsIXve2iN6nSzme5xxWy4MC6+xLxvMZQ7jNp2GEgPy+5D/cYN3RVMGF8bNLa0LReni+uDsorGeBRDMcnmxT5cJqvdKSge+8xm/GQqyUpZdBYLqbPBjLhGSIG0+/CAk2g+7MQcIyzc154uzAYWZRj1A41SvWKjk77jMcxspB5puaC4n8wPS20gIAWZQGzqdkICmU5hjzUi5MplogVnNm/26nIQiKTk7e86KZe8RwvJJXyv8YKJQjNBlxmU45u2STTcKWQNrxy1MtDV7HO8PAT6unyPl0J/h97b0yVNAScbOO/BhGKMCUDPu/rB7Anic7wckM7K73g5iCT82yeu7UH92WPk8NFO6e4PmzbiGO/md0+l8NZ7lmSDm63uhUjGkiLMG52NTQEI8cbXtmZzTJoH4kaUs7SF6RYi8riPXsW9fPfrHQSKIN7Zo9xPpyuGpZZsDJetZzvO2EJzj/adoUFjb8oEvZkESKr3co5rTkfXRynwTsSEsO70WGvc5BSxcR3lSL1Zkg1iFGKKYqh0GHXDMpv9bZhuKgV2KSwZsxk/2bl5OlklE91eGNeHNlwwPWpCyNiOjw5s6V6M/qerNcp5GI+ATsKNCYZCEJHDmPM2JNdiyXQ2N7zMZlG9Yn1JP92iM9telWTnXTCrbmA+zFZKstFwdHqkIbM2NBwx5qwMjWad1UmlGt8Pi8lspYBks/VGf1x0ZrMPg5B2WI6pGR/KDBtfDLFAbKvKdMq26j6TDfKhX90/nezfi0VjNvxk777I9x0sFpPZisFKNktLhjYWzG/RYQ1LFNeTe8h241Qzm/v3NLO5GYKxmu/oYExlsDkyKzhIck2GFETlfQ8FzFbWdvNkGxcPLFHcD3KjkGTzYt9Da/NCm8CCM5vqZG2XXirbjoSNM7IzmtNe6MSOed/hVDNbubBtSYhr9dEBs/u3TbzEcb97/FCsDcvBLGaba4GLMYwWAn66Y1MJ2BeK2YwLoww/me1A6FedPc4UFItuK22408lAoM2pPwbNvqMBM2TDkOzD6o6pW3Bmc/+oBEvJbMDx022QYyuumxez9bUfldY5+MmAn2SjQRgJWMLAKlE8/qQl8QZDPtasUToS74WzGBWH92K2iOMwqt89XvhKtrmgLchySKcQv/Ne2EryAiAxPiFBHaLb9WWOtcTNKi1SdeIyQHocVz2uZSCjQ/SIScPkHqYPrN4kx1ZeZ6RcuWjZc4+0nu2E+vjVrxzAbH7Hy0E8m5Xu+LAcbdWhTd+zttOxRG3Dea93g9TzfsfLQXLCSaYxF0Brv+NuREcnzdpvUkIT00/WThzH3EsncV/rK9k44WYOeilcfbAhalLHMDe6cn1E6rqiZg0QSn6PPgSTN6lSix7Nvbay3vLnItksKM8ubqhevdl3gz83jJ/srLOn73fvxl8pFlNng16ku2EhBpKRTFtEV3DcJkeaC+Yq2YBf21WChDKbwz9jZmFvlWWKQoxRCEs9jFq4mc3C8dN5nMMELZ59rhztyZqgT9bqc+/pymzFYCUEbcVwbVcGMbxFhp2s14Xa7lQy22NWZwOhHT+WP3nhC+T5f/wiefGLXyAf/MmDRorSUTjP3OuXP3i+7HdJMi/sjujcQ0xWb2pY9jKEa+OxhJTwH877Efp0t0ZtnYmhQ+FnzXRjZ8w4Xd3ny0Wl13txSpjNNh4N7AwXExIdHjVxXJjkLf1pE9/F6syNO7tMEh1cLBzvHxw2DIB/LjM5ZNY5tGkZv7jotfK81541nfCM8nsv+7KEtewalXShRH4+BotyJZslNGmfWFa8aXeP9A6EzVJhqz967ymG08VAsO9FyBL68U5ViTpCWZNbwju6ub/PBUWZjcItQzDW0sBUAo82Ohm6GWHD7Fz48OqwbK/uMlYKaxtx0HKvrbCFu3yLuUq2f3ru78vfXvYbk8rlI2//U3n6S//WMFvPZ/7d9/rqR9ZJMBDOO7bQwyjvCPNhiWLkkOMWHRf6uRnysWSNWj7oCOdk2/5+43/E3YPfFd4o1K5ezGI2yxzug+VgKYdR6veuCy6R9/3bv8lZ55wj737Pe2VFW0j6P/NV3+u9qH50vQz0Ogk9l1pno+4wXiCWMquvaTgYkk7M8XJov9TMZlGsbvAN9We4ZqNaJuqZsHd3slnMhrJdKRKKm+8cl13VE5Ia97+mGNhlDQL6nSuFlBKv/87lUt2aktrmsMmcHRsakfSkEnVCoZ+x4RGTAagnmpb2/qQ0qd5yXK9dfeODktZr/MotB4TM+B0vB+Qh8DsOnHpPmJ0Nao4PmM/+RFbfdcwAqeh3XzmYK50Nxsb8j5cB8hcmcxnTDgeO9suxptDSGgj0FMQwyMikEcsMz/R0kuqgs+GDYmhmzg89jqStBP3hFgh++ovm3kFtgEIS2ZaP28CUeTQozX1pcz3Ho4ODUr1qk0nO4723FE6lgYAhRI4dpgwJhmRZ3oCqLm7HsR8WS7KVg7IMBB4CbAMhGlGMSZFF0jXimh5eE5bjbQoVn2SVQ8mEKZjyQKnmHu71Y4pKhlHu7f3I5Xm/6TnuayoBwyj1io2Oy44H18mefa3GIOlJOFsIeevqxulsjUJnaA4D4vvccyhg2iautOKc3z2lUIwW5WAWs0HgQkxRDIuts1km885dLgSzeY/tX71JQrEZRuIZ0ARrmeDQXehaKiVDOoxyrhI6WZwOBgJtjGWPMcceiWRbxOjjnN87zeU93ShLspWDxWS23o993vc4gABuZrONbwmDVDXZE8cmjaRliD7YEDbSa/2OLmntDJoeD5GJaEFRx9+GRbm/iMsEuCUbzzPW+vC4CYYk2w/PSmpZ9ry9FjwWrFHqDEOi3kC7XWpd4zwemEon5aZzOTglzGYryYs4ElQZQhVInI3Me+JaaQvlpPG9l8ujW7rl5tuPycoN7VJzIiwdkay5zvraKAdms2UCv2cWQjnWaLVar35M5x1GebaMbpFXn3+j0Z0YxqAJc4PsfMP5Q2uvlzate0tXXC3RlPQkx4zU5LxFsqtGVjX1SFK/u8u3WCpm88KPtvYYnZo1r0hHdsBx56G115ZkNgrjBghidLV0UDbs2yftg0yT5EzvRQSv3BCVfcf7zZqEaV9baravzVs+cEs2rsFPVirUB3AtkuhIfdDE+bO7BcxKPQs9y4tKXB/Vj6yXYHDGT+dmNuhT9dQXiUxun2Y2kr7wWVX1B4bpqNORDTdJQD9Ji/rQ518rP7l1nwyOpeQ1r3udvBa8/nUm70ZPNCfXfuVDsrc1I71qNLkb7nRitnLBvZE0G/PEZPdB9thyzY0WK5hd0XZOJTWxmO8wCnP1fLo8P5kb1LOQzsY5GI9Osf1An3G0Midqt1fhmkqYjfKgzUHV6YL9AYm49LpKEWh8VF7zn9/Wb/7niyEx4mwthS9r79GAkM+8Tzs2jG0ZshBOFbOBWZLNNHwR9HVVy/OrquSsz/1G0lPHcENs2j0uPWHVT07OvqcYGEL7v/FDU4bf+VJgh178dHnHtA4ZLddKY54RyY2qtMhKQxfrJkNyWPW2I6rkd/aqBd0SNcf2HulXq61f2tUIcBpOG2XqGe7yDSYmzDaA/X2B2efKAEzud7wcEJ7kd9zC2bV4Ui3RYR3SYvqeYTnRGjUZjDLG/zjhe18p+NKhAnjrvSQ6G6CX9H7881PSAt1r0ug2RDHgNkHJJoqBCXG2bD1Y7/jaCG22vrb4+IQZqnDMwlhz6XmlJBtlwnjE2vFsdns42BAxw3U06WRSr1ZJF1BJ5723GE61gQC9gPU/ovjjf+RYIem44JLN/cMNhylmdDeOERWBr40J3OWPBuRA/YCZJ7VbJBK/j7JvdzvkPtD/sSukOTVpdDv8PyzQGDw5tb94heCehXZ9lAurs/FuYPcjG6X6QLvZgAbflj3uvQ/4MVtmKCKH9Yv3uBdLobNBV9oKY4xNqWlXXD7kenFGC//7imEWs2HlUZjl8HILLSXZKKfvw7P9ZACRag0E20BMXmNkEJyJROGcX104tpTMxvMsYDbzfG08nMD1nUkz43HDD+6QoGf/euhpQpi0sYhiPdHYN71hGOduvvorJoKlaTL/eX44XQwE2om6O3tgpE0nYxcBVCJLI/f1ZUu2UijEbDkZl5+/483y8r94hVy9qtG3p7uZrRxQBp2CrEo0XPXhXmOJovjbl3S/LJac8bVpY9PA7INRfTxoNt9obtdhWodrNhfpDDt7/pAV2/raLPO7y7Pwuj682L9SDYkCuxRbybb1N5crbV4pf/6yFyqzPU16x06aOtJwDNlMSVkXj733sWSNQjvqj9rR0kWG0i4T5U228wVjtqzqYU/TnnrBjc3mN3rPS55cJa+7+FbTG2zjOQ150hCBCtDQTHHhNsGtQlouQnXWb+9UBT5odLmuWM70HhgOwnn9bBa8JIt6Ef/ofXjKYSLLPNRrIYbRUjDOYc+WiuNatxe95GVyUCVZdjwjL3v5S+VPX/ISee9VW6fr5sV0nbM5s2QSxzHDNTMbHOe93Nf7YamZzY2yJBsP4UVgEkAjo8jTeOhlbDu0dmtMauoDsrW6Xw6dd5n89vI/Nf6lgZyzUcr2n71Fqn7/j028mbfSlUo2NyhrrsMo98azaWnsGZRt+3qNrgmTc66chiuX2SyqH10vwZCzGcNiGgi8V0Q77f4TQRPMwOwI7UXbYUUvNbOhOiGIZjGbYvpPR5GywN9HzrlM/u+S90tILcNDDX36gnE5tHaZnHfB2+QzNywz1/jdC2oa6+Xjb3mLfvM/Xwwb9u+Rj77pPP3mf74Y+Pvat8Z9z1nwxxUtfRGp6whJTzylEhMbWORf3zWu1jCNN6LShcCDQekIYxxFpFaH5yNN/eaermjCnB82XU2kfusGSVbvMxtB+j2zFFjN6Xe8HExM1YG/6EhOdawB1beiElTm513c1/KXPXrUfNrf7vOVgLV3H/i3UXnd34m84pUia9a7dv5N985wYDHA7T2f+pKo9Wz+3Odye/J/07PQm463xcywxqohXBhwvd++iOaeGv/jFpAO0HvqD6yXn/3qV9NTQzwPY4dtsBIqjQk5Z90jijxuFAIXG9siJjwHCXC8TfW2SNboSdznNpSGVs5+dnd/wjwHFYEsALgPCPchgJD35H739UOurbSi2rj712ye3s2zXAxrv43PZ3XVSX23DaUlm33vepX6GD24R9Al7bK8obv97yuEL39d5N3vHpVPfx5DyaHZNLMNrZp9gxsQufdjn5v+7WcgeLej9gPlICcIFuRF6O00ONNeq7a2y6Ybu4wyD2PCHHwSw0X6B4Zx5uSIhWuIZR0C7fqmDt9/asq1zyjGsOXqbOnA7GPlDqPUK629qfNA1rgQ9h0LSI9KfsdxrDodTMcOWlPXF4Kx5LWh5mMgpEZVXVHLx+9cKUzTVCvOdzoT+jUzGRgzhJvZEHh7nj/u4Q+nri0r0zPFbJmQHlAOsCcsKADCDXzsClMQ85Ld6Gzak5kb3atWISHBOGBrD8elsS9lnIasE0T55x5ge00y1SSrfvVhZY5n5zGHhdnISmVw3rGpT3oZwZQkn+kIJM3xSZWPf/xPn8pj+kzjzHc/lMNsfjtng0p0ttyO/N9unc02DOteScRHwzHXS8PZ9wVDDzqf82G27Gp04/kxW+7h2ef8MDHcaNw5q1oy0hLSEa1+wBh4tP2ISsYqhpDsqtm+NtD34c/6Fgq8km3onvzzhZA6frNW6Fm+zJbT4c97zAvuS46flK9d8ufmxRw8S0JjJ6UznpWmm5ImnAgpaN/DfX9ZzLY9/7ctB2az37EIGaKPt8ZMoh0sRT6ZEmvQztCzP2cCGVHUMbASuSlJPHW/u/wDa7ZIMJK/Ay/XZRtwpI9KR3/cdDJnj4J8t0gppAbmZ42mdfhJu3b5LYTXvPld8r4rV8rAo1dI1ZOeJj/e2udvjaZdu1bygN6PXiGB0ZNmGGPLPhK9QTDz8Knr3MyW1v/Syq22jIKYHJPtN1xmGORoZkbEGuiwg58r75gPeL7XGrX1ynbr55STFDcIdbah5+htNNjBI11y5/I6Wb25wySLIasmDGHi2nBOqu5KQ7s7nX1O2cOozzBejjW6XyWd3b3YvXFmIclGHXnHkI4kuIxgeDqAbSv0ziTrG+bBbLmN/ufKgWW2oeXO76rhn82c7PnEF6e/F4JtgCNN4xIYJO99r7TelJJgzgmwgwB+9wF7L342dDaYCz8Yvrb4dWPGn9bQ5cTY4+RkDSlKOPnbyLHPtThyEyMOs82U55SfWzP7mV4Ukmy2jMwjzj7g5D4jXou62WeUy2x+DVSJ62P/6o0S2TDjHJ7rMArT4/rAR0mHY3XXgbqQGk6jpmPZDuV3L+AcO876nSsHhtlU50Rf43cViiyLe93TSpa4VMaKfiqHBKCiMMXm3SkV6xHZfWRANq5SpR6mUDHPci6iZO29dV0JIx3R8xgSnBd0nLr2eawDTZfY+t+Cevn62ZRx06rIzjruQbFhNM0u2yqu/c4BO4wyt8scL1YtOipSkXflnPY/3yk6L7O56YsKg+Fj6dt3cMhMB2369i+Nn24uzJZpdz7LcerauuB/JMcIe6diyee2Osf97ikHMFt298zvKrbXjQ8mJZYio3PCZJcuhY6epPzdP5yUt75dCaUV87umKLTRAM9NpFMSY5agLyS1dd3S0x+WJNsEF6tLLDbrWOxE/u9CCEcivsdBtNXnmNYD2lBX7uWTnXG7e0PS1NInx453SWOzGi1dbKMckZiWkcykzHtF9f6OLrYsHtA6R83xcmgcbcv/nciqwn2sNu9YKUS7p75P0dp7vhxEVVCYT0VcaWDaSutPG9FW0IB3ipEZ3HWfRTgelWhg5rfR2eYCdDZcGO6tkMuFdwYhe2L2NYBehbsA1whWLzokYTFINiSC+9p02OmhVlLgViEkiYlwdqUj4NAEU3aFzNwokpghmvUI6DmkIxjRgqyhZKSUBzSa91geUKYL6K5uyUb5qBw8m7CqI80xU0/j09JhB/3Vfa+VbOh05fjp2NXdljHX6Soj5X2OFwL0ov6MbLh6iAwKbXDmRG1bmfxs3oYrBzDbmCrkfudK4iSBec7QM3rAeT5WcWc4Z5iCbIg0ArobDIZDFmWe3F/h3LhZAAsTwhh8Du3TIaA/ZVww+48HzTDPcb8hoNAwOnTv7GNelGK2oQIuE1CuzjZ040wnYyijg9S3htQAcBLEQKsDa7cUZbrc2pnvc2U2vAt+Ha4SJLqLzI3yInBiRyijDRwxSnqXShV3w7J+FEmxfntSDl87YCa9aWCYgrEepiBHBPoZCr29FwLayrslW7Z65vnlgDK8OlvWs0m8G1zP8/FhMYnd0hE0wZB27nD6ujIU4VLMZvUkPxRiNuoHbagL0L5gXCYtA4Omk2FBn2h2ZipY+2HW6KokRm+E6eoae7Xjx0xmcQIZTDlaoC1/LsyGd2FwzKmb91y5SGtF4pMeZoPouAco2L6wmzHc4BgNR/jIzq1ZOaxEYDiiDM6VWznLbMZKKcPd4QbPcDNbpcO4n2QbOup80siEI5HPjUa1dLCA2ex3zuHLIwaPqbhtt/bKjkP9KpFhCu10ehxHtPW1RfW50K4YfVHIvcdAKQOhZu1WCYSj5vvQXc4xyudZsWE16LQeMCsM2Z+cyWLpLsONoamZoGLXlMLQrY6B4D42Z52t9l7/eDb7IhC4UQ0JNkzFSsVlYc9bZhu+ffb9pcD9bmbLbZs5bsFv3CroRTyXmDWmu3ChtLQHTfgSbgCGprZQWiIrR00HiqkVjVVIGTCEm9n4Ho45VhpSfFt1r3En2OuzdTN19EM5w2j2iP/xcq3RAxs2S7ArX/oWk2z23XDvECmCJXpUpWmyaya2z+++UlCD2sxILQiz4WI4vs+f2UrBecGTZs4upnobc4e8JOHmQR16MQbwc+0+RK627uloUIYIG58WH3bmSFFiM1PiHvg9zwuvZEv35Z8vhkLDKFNktg4wN8MczIi+RcAnTO+eJ/RD9qD/cVAus2X3OHWoWbN5Op6u0mE055ojt+8E46EvnuiIm3Wixv84OuN/dN8P7HRf2cxmC4K7EccQjB4QyI5J4IFh2Xs8q5ZH0vRycuzCGPuOOfsi9KcKJxym7JSohfKIo7MVgr0e64bpJ57DHlkwG4llODd8p/+9xeBlttz6/PPFUIjZyjEukGxuGiDt8T+S/DikUjW336ExIwK+NpNwR4diJM3xJoJJu2SvqiwEJWAosWOKLc9iSIdhWz44sHKj9JFApwJmc+ud7rKKwT4/oD3fRNOsiZl2Y92oHR24zqwbLaVLeIFpfaxVrVGfc+UgpQyTihVntkKgfnYYzRD1qp84jNFHkIg0Eu9RaAhwMxvTdEqPvPN+4JmUF004kRt45BmaIWhrV1rqBpLOxr+quxFlvJ3OoVKtpS9tDBPuieeyBelrdFeXu4N3onz0Yazyjr64mYulnQq1T6bF/ziSbf+Kmfx0xZBxTZGBcnjBi6xrXtkt2ShrWrJBCF6G2H64kzSjjOMc5+XtdVYS+IUYlYvMbtXZTs6P2YYe8D9n34MGpt5Y1+wEvWpTuzy8tlUamrGgkZRR2f9rJ4kdW/OEcg4DW+uZe73E9pNsQ4/m/y6EYjrbUAkJ7R1GeUd8WtQbN9HBlrD0LXca1t1WwD2MYr32d/flnXcj90j+7zkx27GZ7/PS2WiE5LYJE32wZktM6tqiZpVRpZXK1OU7dbmfnozVhBWI4k7wnhscY7kgkiuaG5ax1sJMUQxWsjGlhIlPw8FgrF0wPj2iNrQOqAzu+4CX2XDgpqP51xRCQWbzOHD9UEpnSxMiptznPgZdGJZbepNypCli3D2kQOiI5OSRGx6Vzsa2vOv93qPSdvWGiFWks/3ls54l11RVSdu++/PSvoda1suzn3NS2vc9kHe8XPQ0HzK7rfidK4XeliNzvrfj0Dr9nNu9LXvum/NzW/Ysl47DG2Yd/+o3Pq0tUCX7mp1FQoUQK2FcFENscND3eDkIx/LDniqBl9FAUcnmRN6LXH32JdJx4MFpIm1evkpe9cohGTi8LI945eIMs90rDZuXSdOv71Hr+6SqK/77u1s8IZjNgmHm6nMulVY2sthzr3z0knp525ui8p0vHc8jYLl4ojNbw8bbJbJ6o6Etw7hZZ6kGADMwrLMk4oN1r5yHCZMjzlxwIWYsBj9mQ/3wHvPDKWE2gDFw9VkXS2fN/fL21x1RZovJ37+6TYfSe6R530Oy4fovSs36e6Rp7bVy7Z135hPbgycys9VvvVuiD6z0pbEFzMCsDu6RA7Ux+d4bni+X/mK/vPzJVb7hS8XgZjYY96rPXCrvO+tCCTPhP3W8EE4ZswEsoG++7Zvy7x9aKS95yah89t3rpHHncmnVRvjYy54sb/3c96Vt5ZXy1Hd8djbBXXiiMlvD+tsksmK9L20LIZ4KyqHV35WP3nBArr7iVXJCFf1HN5wwKbMSalzUdXfrUByW4x2dRkriMK/v6ZHWBFNvHdLQeFSOtrYatAUHpOpZ75OuY7fKJx9s9X2eG6eU2RhOn/dCkd9e+mE5/5ykbL1/tZz11l5D0F9d8sfy/y78vHSt/1/Zst6H4C48EZmtuXqtRB5Z40vXQiDLQNXT/kHaVn1GPnFjjZF4SKcb7llpRpr+1JDUH1glf/3OK2Rfu5MVir/m6y6TK2tH5KF1zVNH7F9Gqp77Iek6eru8/vvbfZ/pxoIzWzRJ0GSZSKUkkUlJdjwr57wrLYGeRhnorJW+9lpZ+a23SNXbvyH/9aNfSEB/c6wQAn2dvsfLQaC/2/d4OejvavY9Xh7qfI6Vh57m4xIJRQz9fOlaAIlUQo3Vv5G2TV+XT/52lwlSJLX+pu37JD6Ykoj+Hh6Ky7++9A+lLpqTRDYnkcSgdPYn5Ulq5eJUjusz08NDktLGz06m5Pee8mbp3HalXFXd5ftMN0LhsO/xcgCjet83T7LRaxDFAGUURye501jMy8oh1huQf+N4W1TOu2BMfnXWRWo0aM/VHr/hR+dI1dP/UvqrtfcjAYrASLadd/ueKwUj2eZ4b8ehtfo5t3uNhJrDc+u33inhR9fNCosqF52tB2TniUZZfaTVtA9Ys6tmup0eWLVGdh2rkUc2bDIjD/eoOiY7191uJOFAJGFmVghVwvAYG0/IIztbp68thgWXbAQcMmPAxDFTLG0BZ4rFWj/A0QVmbqKiF7x7zDEazrlEdu9+WK664LXSVPPw7CHEB0+UYbRh4x1qDKwwNJsrs4FKXB+001c+rYbc1G+3gUA74uglLo42xwAhBAqm5Jy9zmLBmc32Fu+JYrDMxncq+o/PeYkc3ZPv+C2GJwKzNWxaJuG1mx2anXQyL7lpWAkWw89GmyNIiOboiQ+r1RuW3QcHTAiVPX9KDQQLN7MBI+GM47e8GYXHO7M1bLlLovc/OkOz05DZ/ACD0bbkYyEAoK8/ZGIACSeyxonffX5YNGazx64+5z3Stm+5bwO48XhmtsaNt8nR395vwodY5kdIFI2UGjv9mc0LJBt1Z2kmO90QCEtsIZvnehMWerGozAaY3rpajYb2/cWH1McrszVsu1siD602tKAhkAasVieL04lmZwEPi7krlRKn03QVQy/1J/KZwAWSAJFgG7eLW+9bdGYDPPQalXDFGO7xyGyN62+VyKNrfWlih1HLYKz+wjokktdxzhZfnX46MZsXts4YHkTmbNf3gvmCSWcnRPc7zYvZKMxyOgQj/IfVVce7svLTf7mg4JD6eGO2+m33SGRlkZmBAjqbpR9rRpkXZV1EXZeTocktJU5nZvMC5oIfYpmsyaWLt4OAUkL6DbNxgZtx+M4CX2LMzCLfQMasOiKgkhu37e2Ss88ZNoxFYhbWA1gCURbAaLjmnEt9jYbHE7M1bLhNIg+u8iX8NCowEGxjQW8yp+OeYBdmaOtmwHKx1Mxm4R5GLX9VsYDBZKpWfYIXaxlIGwnFuk/i4RGPvLybmYoNo25w3a/OusREi7gb6PHCbPVb7pTImk2+756HOVqj0Bq6E8tPm6AjMfyS19i2hd99bpwOzGYxr2HU75wXrFPwxsM9HpgNP5p12JbEHJnNwjuMGgZUQUAaCdY9IAXtWgcvAz6hmA1wPTMNVsI91pmNmYGIddiWgwVmNjfsEIVzlrB6Fv6QfpT4ONwT8fQTjNkAEu5XZ11sdLjHMrPV47B9qISO5sUiMpsfYD7aCOZrJZFObdjo1+xMg1T0u8cPj1lmA0bCnXup9LbOnWFOJbMZ98bqDb7vVhRLzGxuMIzaoRUHM8seN+3sNut72QWa44V0vwVnNncISFlIJeUnPxuVF7xwUtZuyvlf40EslVJxTnjSoAydHJfO+jrp76gXJ2ynMgT6CDHyP1cKAybEyP9cKfQH2qT7tuXSG4hqA6YklU1LQocov/f1Ayuz/I6XAxrd73g5CEejvsdpi3AsIXUNvdLU0i/heMK8T1Lfi/fjmvmEGJFDz3usYslGL8CtceFFY9NWat5K7pjja8NhiZtk025WyjupSklLYJbITYyrhLOOXyRN+XAk292+50rBkWwV3qtStAGJ5gl8hA4sLbS5THh3jjOEua8zOMWSze+4H3gndoo5UOdkLx8Ihk270saFpF8hlDWMUigE4wEwE1EAOOcwu7dX95pUC4caQ3LOucNGFLNTMb448uOzUtzrJvGWDwgAZKYBHa51b+m5VDeWehht2Hq3RFbp0KkM4/cuwHQ4ffeuSM540dmqiOmc6UZ6jDCbG4bx4jGTq4TcHmzEUVMXkejouH+H8sCX2UzaADWh8V6T4IVFuvjaMKULMc5cdTYLmI1PJx7uUumomXGLlMJSMlvDhtslYt0bRZjND9CMaAkS5zB/2NbnuCegaTmN5capYDbg1dngAeqP4YHD+YiOXmQbcGeXtPBlNstIbmYqhYViNmCMhrMvkbYyJdxSMVtePBqokNncMPSdGDPMRyQIagVgiLLnvfe4cbowmxe207DJCoYHEwSMdhyD2bzvNWsYLQcLyWzA7Rbxa3g3loLZ6jcvm5FoFvNgNr9hlIZAlXBy0AbNHCJp+bEYkR7ua09XZvODlXCdAwl9L2cPLN4RnjktmA0YCXfupSXj4Rab2cxcp5/DdoGZzQsrBeIq/cjJsVkNKybn+Q2zlZJ+hbDUzGZhh1GkHwZkQFWI04bZgImHO/titVILS7jFZDYWEBdcbrfIzOYHa2B0D8RN9m2j+6lB5o0dK4ZTzWxuLCqzQSgAYSzh4PJwImUiSgg7wdJxdk8eMAnvDjanlOEuLRgPt1jM1rju1pJhQr7Hy8Ecmc3CDqNWuhE5y/C080C/SWuG7md1b/d94HHDbG5G4hiKIuHDbNtIWDQreNhxjlBiJotxoRA4GIypbqIWDPdY68xNKOMWeddFvkPqYjBbw3aVaCvX5b3jLJwGzOYFNIN+5AMmfzGROyQQJGLHdu7TktncjMMLkBsWHwuRpKwdxVHLFoxsobPncL+cddaw8b3BQEgo7rNM42YcPxQaRt0wQ6pPPNxCM1vjhtul8drlxn9IXrZA2mko3iWvTqchs/nBtiOpUHFPdPaETZ5iu4dCqbZxY8GZDWeds33hgBHN7BVA5WAgIgesD8XNTEiexdDZvEDyOY5fJ1oELCSz1ROPttqJR+O9eEcahXgxk8r9UL9ZacQ5s7mbfs4JS8hsXhD1Qbsh7XBPMOKwswznSjHegjNbJZxuUa7OVgjlMhswbhFXPNxCMVvDJhYQF88mBG2Q8kxF7T3qqARsJsawBQ3Kpt0pZDa/YRTm473Yq4EpRXRmOphXoj+mDIRCqITZAM8z8XD77lsQZjP50dZt8X1WQSjDOBJO6z8yYfZPYJvII03ONj9cU5D5TjNm8wIGw3BjawD20dqm78XMAMxm39nvvmJ4zDIbsI7fQNeJeTFb/ZZlEp1ablcRlGH8jlspgVXIwl6UdHJqcBxJYa47zZnNC5iLdyJyA2OPd+IT1apcie7LbImREakEScXBujF5wxvHpSPgf00pkH3He4xyk6MjkgJjowb85lx8aNgkMR4YHJaD6zZL1/Et0nlkc8XoajskoW27Zz17ocA7UP/E8LBEMkPS2B6RvQd7pCuYlHgm67zb1DuVDWVSkz3K71wZYPtGv+PlgPAkPm3bxHLD0hcblJrjfXKiKaTvmDPnTVtN3WMBk1N397HpXB/lAg7l7+L3ODvj+V3jB9vTuSeRy5h5wvZwTo63J0xEwb5jTlQByW2OqgLLkrbWQFZ6k0owvZb7QUJ7zFX/er607b1HmnfeWTbqN98hobvu963bUiCcYTUa0TNR8659qdFp56zf9W7E9J39jpcDsqP7HS8H7mG0EGgf0vtXnwjLiQ5nVxnaGeHgvXZOw6i1RikUEOuOHsOYj/XGkEKMF64RVm5h7ULgerWG+lU6FSKA37O8YAg2bpFzL5X2MuZSQcO62yRC2qqxuQ/9hYbRsuAZRu37kpKMFGQsWkFBp1NBTy8tlnoYtajUQLDvxc40B4+xI7OTJYlzdKpZzMbFVorw4iiOxtPfp+JTx252rKs+PiDnnDMyvfSPiVbCZ8gDy32M99xre633GXPR2SzsvUjIX72rdDwcSV5ssuT56E0LyWxeWJoZ90RPyjAgjvDkhEPPxwqzuYHOZvmHkCQs3qradmfejZ2KydFGbBsOXBiI/ZG4wcs4p8JAsHDfOx0P51om6EajWp2xh2cWp5yuzOYHaA3dmc470TBgHOo0GpuWcdzvHj+cSmbzHjN7VxWSQIVwujAbMBLubJYJ5ku4hs13StfydWZ3v0P1YSN1afBK3jMPS8xsbiDZaCPUFSKnySSJasImw5wv9k6nFbN5D5SD04nZgLMQ+mLpqHF0ODa0iDw447ClodAzu8ODJrYeXdI2VNlS4hQzm99x6s4w5ew1HzRDVX8qP5PkGWabIwFe/vKXyvOe/3x56SteIc/743dIXdrJfQZhIfD/KsN97j1nS2z9Vt/7bYNzD/sJsC89euemXT0mwjQxNjl93n2fwWnIbG5YOjC9yHy2M4cdkHAyaRiS877vVQRPCGaDKPRaGAiJBFOQ6+LInoelqqpKDram5LwXPkee/oaPmk3AnICAtLzt7HMkxl5biYRvucUanOcxTDF/iCGEg7YrOjTtnjjdmc0P0DGZy5jkPzhlWazMfvKx0dnRwH54zDGb7VE0mB2yIsmURJSBCEnqTQ6bXZIhBotu1m3rMmHShCRhpNArYQIU4+s+8RJ56uu+LuO5HmW6p8pdTTPPiaXSZhVUTy4r13/gCt/hsZIGN1JAn0msGFKCrRZZPxAr4J4oilPEbMA9jNq2oD5OJsleZb6ocVlBZzv0WpxWzOZmInoKwAVCxnFMdxPTxn6YqqDTo4gowQdHunS72IOyuI9yijUg55+qUuuy7/2vvOdfXiafumr5dO+MDo1KeMVMIj6k0bUfuHwWw82nwakbdeX92M0YBiQyxK6r9LtnGqcJs/mBukNbOhKMRxArnZ93XVRm8zKPE9M2bsQw6yBhFpZvHagNmHg2s6m/MhHniLzlXss0xRhnLjqbpDepNHuyNPJjqN4Mpw8GkGgZiTw0O3oDx+91KuEsQ4L5NDgM4z1m6UW8H24jpHN3LDd7adtpzGx+4L0YSQaCzpbsRIfYgEze1+8eL3yZ7VBjxOzBzppRLDUkEp5+Vq+jaMJsMB2NZh9mZxC8hZWLuTDbPZ95szzjz98kw6M5WfG/Fxtmy8iERNY4Dls/0DthOMv4C81sXtiOhhMcwwMGxGdpGu8xnMCZdkd9gCfQZ2FABJB9X797fZmt2A2FYIdRv3PloFJma+7vl0s/9G/ynvdfLO846yz55i9vlFGZlPDyh32vdwPH73Xvv9zUebGZzQ/QFzR2OhtdMI/Irs1WdfC7x4tTyWx+x+EX6s/Uo4nzUwZkigqVguOcPyUGgh/m6voA3BvLDFWUHw0CXPfBKyQ1MXsr7rIxR2YzmBpGaQQYjLWhBGTSSIwqhHBjBHHer+Ofbszmha03Rh/hVdv29UljW8g40u15PqsgQqWobx+Xf37TuHRHx3zPlwIZbfyOl4OIEq/jumVy8IQqst1xGUhmJT0xLulJNTj0k1CWUHpI+hMZ6QoNSmtfQhpUqjQHhuTB7/+fMpyqBT7lLjbo6X7HU2Oq656cMPWtPtonx5vD0hlMmX3weR+CB+hgfveWg/nQmhAjv+PlIJ7J6PA7IU1dMTlwrF8/4yrZ6LEVIj0mZqM0dDm/86VgJJvPcXcvsUNMcnLSzNHiaxsIJ6VvwzYzT4jesHZrh5mO4jfGip3C4Vp3j7KgzJs+9mWnbL/nF4PWw/d4OdB7aQDfc15M1dVMYKuxsXlPj7R2Rsx+CnZi3lzjd68PjGTzOV4OjGTzOV4OzDBqf0+t36iyL1cJ5jKMWgZC2YxnnE0aELsonegxeLtZhoY7gYU3WLlEQLD4hvnAcG5UYivXmHspw8tI9hnUjVVhtZ1JU9b+2rCxpDiOkm50OB+3SEkYovkcLwd6r2E2v3NlID6UM6oAE/FYvPghG7udDOKl3mMphlE/LLjOZl8WQtiYNhqWFFpsvIDfBgbCKiPLNToK00KBaL6HHyaxcB+3iCbTEn7UWaleqb5ny6ROh+tg5ogEVV+6Vo0GGL7QM2fhFDKbV2eztMI9gfMb6UfHxAfI8Wnppzjtmc1W2DISwxISBmdm9bGQ7DrUJ2edM2RCkwhRMouPo05MG6KeewBlAG+DVsIwUZVo4VUzK9UrZTY3aHD7XmEVcT89+xNqTYWNm4Lz7kaahdOI2fzAO6GQ4/NjZNix3zE8GAm89C8XC85sxEuZqFpi2nQoIzgSJiIoEilFRXkRN+MslTUaG8xK5AHX7naK+TKb+7d1iyDheMfG3kFtJFXS23BPOH6kaQY8zZnND9Q9GEuaSGDiFBEKqBgIgnIYcMGZDSJbZiq3BywFs+HeCK+dvaHFQjIbgPDXvv+KGaZS8N1GT6A7bt7do7plxpybk5Q4RcwG7DBqhQZrXttU+uHzQ6jgrOWc33udVjqb37lyUIphoumchO9/xP/cPJgNNwMEh8F4B44xQxLOTshV775s+pgfuI98s+QKJiKE3YgDarhwT0kGPA2YzQ90KuqPkbZXRzW2i8JPZreHetwzG0NnXsZHD9z32h7p7pm4DJBKZPphchmdkl68blunGggBY821qOqAUxWPNwuMceFAXBy/bgmXB9cwyrO4Dh0JvQj1AwZkiKKhbF3c956OzOaFrTd0qe9KSE+vs0QAJ7T7fDk47ZktlhuR6NSkOo1ppZB1k2D6dw84kgU9hHQIWLhElbAyHZ2EkCWGBu7hXsqYZsQSDW51OO6bdd7FbBbExP7nf/2XhPU79eWZMN/BhrCpH7owZVKHYs8Od2yRr3/3u/LzlUd9G3SpmM0LJBt1d+L8UobW0J53hAcKdkzFKWM2CAgsA8FsSAV6EEYIlm5tXb9U/+JuueuBernj3lrjoGWoQlFHWjlxbc69tjy/himGcqQLDMPkPfXMO+fDbDDSP//e06VHPwlNpz58chwaZeWkfO3yB6W5NyVH6mPS2pcy70DZXAfGFd/70bXSFnfWGXifAU4ls3mP8Y68Q0SluNlX/tCAiXRhhKD+tk0Whdko3DIREoGKMEGLlDmsQxbrRokmwcGKso37pDcUN7HyVNDcM67D2cq105Xlk+Ncc0ItQ+4n5TsMx5pTb33KRblDmQlPUgmXx3AeZstJp7zwH78kz6/6XQnpb6JQBlvW6+ez5b++8F7Zsm+TnH3eufLyl7xeznn3++UzL362/MemAbnyMxfLyod+I9/+wc/ko5/4tvzXDTvlnvvvk1c9o0q+t65lurHcOJ2YzQvqCz8gNOq1bZ3N28Jmc1tvh81jNtvQlnlA9e7tsuNIi1lsiiJJ2PTx1ojxs23c2SXVx8P6kIQRrQnVfSzDWLjLt3APoyYezbXcrhBs3frDMeOegQn7VOoh4jnud48XlehNs+LhPMxWe8ul8rlVEXnLlGTjj3UNx1Z/Tj67qsV8pxG+8YWHpzrimDzjZRdoB+yTX37qdfKa171OXqv4x8/eJZN6/nh7RM55/2+Ngs6eEjzX0u90ZjY/UO/k8JDRmdlZGaFDWH+VXXzMsMV8I99pSI5z8Yj22z94+YdlSKUKBIBwNMRC6GzoaOGpBcTlwt5LPZCihOsw3LLRBfOiHC/E5JUwG4BZkHCGmT3Mlh2PybP+4NXycpVoa1RpQ7L1bfqOvO7Nl5vvNx93Ipnr2qLm3pRK8V9/9q1miHWXk1NWe5Je/5Yv/Fzi5rejoBPRTFqKvSrVQyknx5r7vnJxKpgNuIdRK4BKxrNNSK/8wZ991DCYPeYeRucCGMZYnQ/4uzeKwS0VvYDREtopGHLNOgZV0JHI1Jf3rITZoAn3TChu+rfPmTL8risHlPPyJ1XJzx9o8z1fDNQjOaSGkRpHuw/1O8sQ1ZpGBSnWsSxOB2azyBtG/eDHbFmV++dfqGa+Shb3teUinM1JuNL8aFMoxmxuWGahUcg/whztoRMDRrew56evV8nTlxwy84zoh6gH6Jo0LC6AvsyE3Prpr5Vs2ILQ8pFY1Mf3fAm4h1HqAHCzNKpKg0pBvVmc477H4rRittTkpBRCWnHNf75Ph4U/ld1qUdnjgdSkvOusMeMMdV9fDiLprITqGnzPlQPSR3mPpU8SeuM0KNZkbGRMJQF5gJNytCkshxvCcqRRdcu2iBxvicrh+rDsPTwguw70yaH6kCRGHR1pUMshHMhbPoBYt3/2G+Y6v/NFMTFh0mj5nisDsUzG97iFU+cJaVM14lhzRN83JB3BtKkrzOZ3TzmA2fyOl4O4dhDvsZKSjeGDBnT3yrkOoxgDOGxLSSfbe+0zcdLGxpRRR8bNXJ9JZz8V07Z+e6eJaUPP7FIGw8eGWwXL1V0W8K4D4BifXN8ayKhE6zbzojxnluGhv3lvjIaKJZTeW6m+6EalBoJ5V32m0f26QiaRc0coYxzdlhZ+93mx5MOoH+bCbLGhUYk+stroGbFM2pTBSzMcQAhSCOw9MmCU4umYNtW9WFbGMAjhaGSiGOix5egrXpTT4LZcFHSGUWLsWwYy5pk8H3WC8CQjCcvFEjObG0g23of6YuWeUDo7jvCIUSk4XoiOpxWzUUkagAbi08S0qWRh8TEMgkV7RJlm+7YWOfDzO820ERIIP1so50TTWlCWhfu4F+XqbH6YS4Pb+iRU9zui0hRTvntwTH7zns8Wbag8nGJm8ztu641LgnhDOhauJKS87XBLxmw8zDISzBXMjRofED6TveyDcPawmbpgYpppGeYbSWjH6mqGPe6hMeIjoxJ4ZK2QGG5nzYCZ9kA6Ubbfc0thqZltGsowfEIX3iup+OlZH1d6xM0wzqR8QWlbgNk2bFxu7vEe92Ip/Gy0B+hPDZv2ZGagbyA0zQd+9xSDL7PhqCWOC4mDeOUhW/b2yIE6Z0MNRC0EATyUh5c7jBqHrSubEKAMZgHYWRmLD0vKvWmH+1o/nGpmc8POpUIP6s7kPvSDju06DCPlrfTzPrt51XflRed+2Zx3H/fDUjCbH5BsvBeT8WQ3oM2Ye+ZYqbbyZTYIYRsa+PZMD8phtmhmWMLr/KM3LMPYZ7OgpSc+bAI4cc7iqOWcX11OxTDqYGapXb8SnFXiMNX2gyH5v3dfZo7beywtUSfosLsOsrqI6Tbn/kBTs/zdn/yRvOYD/2fe3/08P5xKZnP/pq6MWjAc+jRCqSM8k+/Xfe2SGQjEo0Xuz4+wdaMYw1BpejtbBjLHRmQHYt1GmEbT82M2yodolMV7ED7DFkJmKq6LqbiYUQ14No5hLF5mKDBiqAP3cK/toJTLhLqVcN5nGiAVx536hzsOyS/WJ+SCFz9XXvPeq8w9pRjudGE2P1B3rPdDNtKlPW5Gw9SoszOO+9oFZTYK72k5Ia96xjPlVX/x9xLVnuy9BlQinSiTRrXL/1s6gnJQlVl+41S20ti+GMdsTBsLcLgHFQGrctd+puScpX9spUh+EgiFS4B77LO8ZRr4DKNuQBNvxO80pnS2ER14/99zXiB/9opXyO/+zpPkX7/wsESHxo27BbdLWzBt5pe5x/3s05nZ3LD0g56B+KDRZWtqI8YKxnhcMGbjIf95zivknO/ca3pwz+5fSlXVi/Vb/r2gHGazFafn8DzKxP3RH44bHZMgyA07uuSh1c1y/4omWbGhzUimrkjO6VnKPPY+yqC8hdbZvECHu/b9jpWad07v5dzl3yVthFOXV77wd+Scf1+fx5zcx4wHm9oyRCMpiHxJDs/eArtcLCWzuWGHUd6PdiAWccGYbdctn1LmerKJYOD3wfu/rr+fIn1TvyGWZSAMBDjdHdNGvjCGMNwj9HIWnrBngONnI6LEkT5ufc8NjhFxixK7VXUJolOIt7fXmvOLzGwA2sxal6r3fukrX5K/P+87xkF+69f/Rf70JS+RP33pSyVcZMqPekOnQDxlooEZ1lkXAd2go32vYjjVzObGgjBbfGhUfr+qSv7o0t8Yp2dkZFK++74/kyc99WlSWxc0FhrOWgwAFMvOvoiTp02tUEQuDWAlkLun+6FcqUhZ6GMtyqzoEzQW6Rh4TjmNNAtlMhuwjt9phtN758Podhi1UgLrHdVg3/GgkfAwZB5zu3BaMxsNwUtReTscoB+xJpQ0SehAzX0JOfvcYbOj29pVddJ40xoTVvPpZUfNvdzH7yv3OBsueFGJzubFXO81UmJs1OgPSAiYn83AkKy8a0kGrIDZAAyHhDM0XCBm84NtL5ZekvaM7AI41K0+eyqYDYOJod97vGog7Xj6a+rDZhN8GAgJhAVIBklSjTLM4TMisgDioXdc8O5xMwUVWbvJvPBrlbm+vLLVfL/p/L+U177t/8zLeh8I5hNtu1CRutQTJsNIIGzbWdpGCnsnvNl9n0GZzGYbH0CnX7/3s+bYYjGbF6bu2k7MDGBFN7YOmOwEZXUoD+bKbFddL/L2d0xIa9ChsT1epZj+0zqWhf5kSP75ya+UzKOPqm4UlvqukESVk//tvefJBR99txwbJk7V/17+PvLmN6tOtt/3fDHw984/+Xs50HDc93wp7D6i/+k3v3PA/oVzrCrvl5b+qH7PKNNMqC6KNoquNKrD85CEshnpVV2qIxSXpt6IWpSEvveqjkmOWuZv6d/O37JPf0GyoQHfZ5YD3Op+x8vB6EmnLSb1V+tAVIffoHTFEmpADc+6dkTrnMvhUXR+50ajeecrwX98Y0ze8g6RP36ByNe+I3LNNbdI1Y23jwm45Vv6eYfzvRQu/cR1clIl2bd/csT8vmmZ3n/XuNz67TH57U0j8t8/icmP/icu19084pyn3Kmyb7pTZL/e+48vetV0eW7c/J+zj1n8/FrVu/Te1/7TB33PG1CX7/sc1+f/57fH5ZY7nfq463TD7aNy/a2jcs21OfnZ/6Xkhz+OybeuCMmVP43LL64elGuuy8lPfzEo3/thWH+nzb233Kll3TUhN+vnzcvGnfLcz7tLn/Ez5/vD17TJ/uf/k777RP41ZeDmn43L9Tdlfc+Vg+tvy8iNv535betOm/HOP/lZQr5/ZVSuuT4n2790jzSe9+Vpulx3/aBz32163zUzZZSD7185Iu9415icfR47OIq8r+r/zehsQytmxF0xRDNqhj/yqJx1rupAnnMZlRzT3xUoswzD6EjsstLUO2gsSvoURoH7XovsQf/jgOd1BZ2MRAxR1/zqV/JATbsR1TyPTzPMh/H1TJiVWTYTORPNRxS4EwikJKoEF4rdNsltpJihMJT/bOLl+OQ8+pBJ4nwiZMpmdRF1MkOYhQo2HfGd7zoEG6PhfZ81101fUwr4KbWc+fjZ4vqOg0osv3MWvC/1QtfjnXC7oEYFI1FDk3RydlsXAyvG3vKWUXnN60RuuVt/6N9km8tASMdm3+QF6d/D67eYinldH2mtVTqaf70bVl/Aj8Taz/Xbu3T4TQrGh/u8jTjlN7ANiLOTmLZwIiU9mQl58XN/T575zKcaQ+Sbt9Ubhmayv7shp0rxxLSjlnspg7IwEKafUwQZZdZZx310Nls/noPux2wHljdMnqp1uSemDAQarpJ4uOxx53M+zJbYVbmBQJ1BOBozLqmjV4XlaHvUOMmxfEvR8NFNqgunnDRf9lhuyxSzZQbyL/ZDNDsi4UedHYj9mC3TkX99IVDR4YlhUxG0GpiNnrR+R5dsuU1xoNdIHSSRkUYqOWxMG4xKxMjoyYi5H2n0tKdUyRfvrZsuv5hkLFdJH3rY53gFBgL0SawZl6OqoJuNLpoiakw574xELjcebvgm53Neku3Y/K3R4dsciQ5snB+dm0gf3tV2HnQ1PqHBhMo3Ww7IKQMaZss9MnPQD7HEoIRXb5j+bZmNQgEPG9nofLfTRLhKmLClQjAMPX7F2p3yj897mpz17bVqLeWMc9L9nBHV5yiD+wnuY14SVws5NqyUcLs+GJqqqn7f1MceG3po5rsXZTObn0pRJrNZDD3ofDo0UsmmUpV3Yeuiur6cXHPJZ8z5YlIut9P5nBezdc+f2TLNs8/xXnyiUhxtScnH/+YvzSizTsf9i975F/Inb/rWTLvoNdkGy2zrZwpxwzTu0IjE1m0yN7IZKzFt9NR3nT1kto1EFzvWFpPmm5wNNTC5TUpO13SRZZSdO3bKC3+/Ss6/cst0Zd3I7s7/zTXOc8dMmAsLYJkbDQ05vrFN/3uhVOuF7ntyW/N/u1Eus2VafY5XyGyZRtfvqWHU/qbuvNcvzvuk1HUNmiTOvB90mmY+baB03Pk+Z2ZTnW++fra0VnZQe7XfeTdoq6++46XyjDd+SvqCWRkIJowbDQe0so2pS1WP6hedWzNGf0ICsXMJL79TsW9fh7Tf9qAJiLRMAxi+Zg2j3TPfC4F7//IFBZhtQs/3eo75AMlGYzUfukMu/I8H1PpcIZ/5/LWSVCnJ8UGtnN99oBxmSycUWtFZ50owG+/D+1GH3JTeybCPjxIpTlJmlG6GIGYzSMN1rCsnv33fTDwcZThBpv3SsmdQBhJOnJ+fN74cQM/o6PyYLXvA/5wbGA/wR/U9P5aq3/sTs/zxUL8T9cF7xbeNy86j/VKV0i6U1SO8lH1hEM0WjkeDOG5m820cH1B+IWZLB/VTa+k+5geYbTLXbES2xUev3W/ChFp3DsrWg73GUrTv4b63HGbL1M4+5pQ1E88GmE0x0latW+ZyUROQ8gSDdq1QCZ+YcYazsig94aTrsjS2ZUNLdDj3Mb4P71VmHZ+QLrWWm9rDJngRtcQ+315bDAzl0cz8mK3QqOcGfy/+i7/VEeekaY8//8u3S2ZyePr88PXOZ1VGTVJ70CKczEji4RUFX8rLbCh/7vOFUIzZskpc9+9CKDZdNaRmNp88BxCCzlBPbl+Gd1K90+A820ggBe+C5Yq4b1Px33B3Qo6qWoAEstsoMrtAnBY6lzemzY9GQ3d5jnmGUS+M0eBxi+SmdD7AMMpzeGYgw/aOQWNUMRox3cZ9vvVYPc9hNK7MttL/nBtINmsc8C5INrc0zh5yPquGHpi5CUQHMxJev9XoZsy1MXGO0m90iKlrZjHbqvwyCoHc+H+knP+XF/zQSWvvOjd8a/61heDHbNQLDKl5zW93TFv/oEq8gbRxS1Qf7pO77q+Tu5bXmfUQLAlEH8QgwVjBrB9R48BKn7wGrEBns8SdRglmA9DUvfVRdv/MOT+djeuoJ5KTvcO2H+gzapCRpFPDOMPofHW2TJf/uVKYZrZxrav2Sr5X5dbOXBDNDkn4ofwkL7wQPQp/Cw12oC4kXaG0XHiRky2ca7L7Zq4vBvcfjj/3uczh/N8AgrolEMdCCWdfrfouJyx7GjqEHdwYMr2d2Cnb4wFlUFcyT9pyKZNFPDQQ97OHV3B4TIaTHiazKJfZtGtnIp5jZTAbMBLOukVcKkW5BoJtK5jv8M6IHDoUlv5Q3ByHBn73FEM4EqvImeuGZbZsnf6eYv6qtP7Plxjp331y2HphG+qCC8dU6kVlx44+6TyRMdKBc74NNQV7PqYP5XM6pk3vDagFS6Sqs4FGwGyowRDGelKiM0hHiqSKpAane64tzwCndAmrqVCD2zJSfSelOzVkpAQMiPuGZ9JY6Gx+93rh628sk9mAkXBnTyWzmcJcrNFsjfNOSDbeAcNjy55us8cUbcU1nPfe5wZOXb/j5cAym1vFqoLrorkRibj26ywFCGKH0UzAYT6mfJpUYWZXP8K2idnvjg4ZZsFfRlg2yvShxqh09JBmy5FQxLQlayZMmZRTSA+yKKSzWW97MZQcylzOXBqbOpnoCe0A1cdUb1NrkvoVkxK+rpcKmA1M3ifS9qcvk3QqZX7Phdlyqq/x6R5GoSs0xkrGUW4tY4wZjnvpHgnMn9ncNK0yDlsPo/FQK3qpBPoPeyFg8ZGHrSOSlnPOHTHD6t6bBmQzS//0O7uOYKVxH/fDSLsP9hspQRYeXpJzXobx9dgXQCFmG7p39jEvSjV4bo3/cQNlGEsXDA8W9sJ8vKM9znXDyzz3AQ+z2estjfmExibsPT0ivWtz0rX3hPzigssc5pgLs01ZkaV0NuoCWGDEnHG1Gh+dKgSi2lbRJmcLSL/7SsEyW4ZhdOpYVXDNJuMHIoz6QG3ELM8yzlrlesx4YtrwxbEsjchXiIO+ZXW24TIa2RIVVwDPaWpzEikzjJpz2/zv80MhZsttn33Mi1LMlj3hf9xA6+o9xjvBJF2RrHmfbYf6pHevMyfIewG+s4C5vY+95yOGSW0ePCQm7hMkPG4NjBUMp+GpODD8mdeq0ZAYUktav1cCJs/5rNRAsHUOhUYl1B41+eHgBd6Tc373+MEwm+qdVuUBVYl0SuKDSYmlkhJNJiSSKI6o4uOfnJA/+qOTctsyVcRj/tcVQzgSUR0xKTw7pgp/aCAmzS190tzab8qnPn73Ae6ddZx6pzzH/KDWle9xEFb4vAs0iSttElqnVCYlIdVjuntD0tzWL3V1PVLf0CutbQPS1ROUQF/U1N3StD8YkcbmXukLaGNp63OM9/M+w43ogH662gELvvngEb0/nXddMUR7Zr770qsMRLsT+q5h8z2m9TFtpXQIxeLS2j4gjU29Eo7HC7YVO/rF2vKPVbm5sVxYnc0YF2U4Yr1wSyd9B5UaTo+i9zBU0+PJO4ZUNddMwXuvRaYl/3chWMnmLs8irWWEJ8dMMmmUaXQZVm8hhZBazPESDICEJ3jA9nQ7DFJebpenTAXnY6qCdIWcaGB8ZCwftOfd1wO3y8MiOTpiVm2VK1mGp/yNYK6uj9wGpUfCX2ez9WBmiQVG7J2FhLZWJ+8VH87NUinmxWy5CoY/N9wMU8yZaxpqbFKONRM9ETLO2YFowgwv7obCU85v2/jUz9yrTGFj2o4qw9S1RUyGJJM+VBse4wVDhuF96FHnPoYQ7p3FCD7DqBcFdU+XzkYdeQ7uGScUXaWfNhR7fvHc4Ttn34/ORoQMbhHu9Z73wu31nyuzDamRYifiywF1Ry3C+V19IiSNfWrNbx0xbWWZc+7Mpjpbbp3/+VJwM9vwVBiNFzS2FxwPJVImgc26bV2ycmObbN7XKxuv6zLTRUggdqeDwTBoYFS76JcXxs9my/Eip8zmd3waZTBbQX+ji9m8sPWhY9T3qt58Y9BMt2Hd2/PWQKAjoMPZxisEd5TGXJmNue5KmM0N6kzofCrijFQEUOw5PCBVME6hBigEw2yXjEl2s//5UoDZ6AkQb6xWf49MmGTROGqt5EGSGWerKqf484iqJQdIJJkyvYV7Ad+De0amUiaEdAhUPWLKkPE+t1CD47i0ERYFUYLZ1AaQdKG4wCLM5kV60pESfG/qSxsaNLYFjaMWumOc/fZ9Pguhp0AgwaByo/09J2bT//icK7OBRNoxEOxveKwKS4k8spi9+JRwT9BzijGgYbbzVUqo1cR1gHscUer43OziY4YLwsFhhp2q/xCh29Th9N4+fV5q1NlMw5Ztyyv0fK/OZiKElePM96ljlMeKog07uw3z4ZxFxJNvw32vhQkC8Dmeh1LMFvA/blAms2VdYfUWvBOWHfRFT0R676uLm7224lOM6aZVxmNRz4XZ7Ig1H2ZL1jmuDzeq7BdeBiZi12IYAX8LW/RginOcnsRLEdPWGRyUs/912ERYODFtEbOaHf8TZjyT2gxjXM99EMTNwJZhDHFdjFYOvMyW9YnScMPpACeN5GzoiJrwKeLubJ24hglr732zUILZCHv2O25QhNmgie2o4w849KV+x1ocZzgdtKmNPHgRszAZ/Y4OHFNGu/riy6RZOzIS/cCJsHGdjHjUgTkx21Qw7XyYLb3ch9lYtIuPh3xi+NXYmQ1LbMveXtmvL0D+jMONYZPSgAQoWGQw34VnF9Z/SsEyzFx0Pi+zDd2ef74YbIPTuER6HFHDY7d2lp5lWWNluhlwFkowG6HTbsahkyGJjKM2NSzd4UEz8Q8NGRoJLMTi5juSfyA7IiNqzXI/cNO2kFPXLKKZMhrss8P3j5gACmZqYMpoylFZKmmr7DHnc16S7ZgPs0EMiOIngbzgHJIoqMQ75x3OS2HpFbvHDwvJbLkd+eeLwU+6UO/hGi1X9UakMjMhWIl41Dk3g/x4NuYbUTtwUu+vD8nm+52YNiRQvR7D0UtSGDpzYlyVfR3CLX196aX6jV+4Fyg2gwCjEZ5ky7Mruuwzgmq9U0fy3jHjYa5R2Pu9IELD6q9zZjY1nePjRYbRSmAk21mO/gMByRiEGwHd73hbzBAZ5jXM6QPDMMq0mSb/88XgZjYTkaCVcZ8vBstsEJu6UfecNnJOf6CrMvXEEIaEBwy5ZEi696F6Wb25Q050JI0ETE46aVynmWdKZyyIMnQ2FPtUAZ9lqekqGw834o02UbiHUfvOjT2DZvQi4zrLEO17mGvaZ+6dK7MR3h8fWSBmG9b/MBC8x20jYg2SbQc9Ar3DyT0xIxlgGJT6uYSvuJnNrBVQ3YXvtmzAb4wEJDb+K6bj6NWH64PGaCCqA/8W4Ujdh3UIVV0HCW9j2izx3WUi2aJ6DUOh3TvLulW8ztxZKIPZstX+x0EpZgN07utflx8tAorpbFyLTh7IOBE8W1V1Ci13dkHknefKbEPLlQeGFojZRlWxx/Xhd84LKo0UQG/BjXFAdZSOnogkt8zkm/W7z4LzRgIpcHPg+iAYAEX5+J1RqWmYiWkzmSr1s24qpg0jBb3Gqgg2ns0NnJfeY77w6GyWIUno0vybhImnwz1hn+W+thxmK+RvBOUwG5jc60g46G2PVWIgQOtRZRTCubB6+/qdBN1l7xg9BWZBFozZxjcrs11cHrO5QWVpIPZBGLlVTAQtCz9I6MIL4YzlGNHBSER2P0aRxiuNuEepj5gdXpyGH1rrlGnhfZ4Xfg1uQ3FKwsNsbjCTwvORikTKMjxhUJHdEmetOefZ8MOLYgtLymU2FHs65PUfnNkvtVJr1L3oCMlG3ZF06KeoFc7+CaqH6ohhpb/7fvQ11iHbqA835sZsG5TZXGHhgIfycF7S9oKwDk9YuRCfUCMWtuK0bQ+EpXZT3ISeM8TSQFxPXBXWGikAGK4ohzLdz3EPo7kyVv644WU248z10XN8UYjZCHv2WRXG+yDlGJ4Zrk80h41Oi+/RK9GNrlZAXwOW2bgH+nI/tDEblqhRQ5qs3XsHZF910Ej32t4h+fWljuO3IsnGPLXrt98wSntQLm3F0It/1i4wMtIef6OqMGUzGzcCCrawZvyAEivcNSTnXUDG6IiRPKTaIjiSSVkTVavX2TK8oHySME/nwfCB+1oIuaOm32TnRjk3+h7naBxtaO+9xeBltnSffhZp5DwUYDYihEvqnlPDqH0vVAosV6SEWTF18KQpg04HMxLShVREL8T9VNukNFY9EUbCl8n9tIktD7AImE/7TCQcOX4TufKkInAvEQDl6GzuOpiAzKtDUtuTkIH4oHkn6mmvrUpk06oHJSUQiUtfMCpdvapTdYekvSsobZ1Bae0IKILS1ReWgXBMovGkfOBjE/K0p52UW+4Y1p6TMpuXVYLwgJajupffOT/wjIQOvaFYwmwEQd16ldHDhP5k2E7S/z4vCHNx/4616Occ6u9GvFU/VSS4j1GfuHYoQP3i+jsUjSv94tI7QKSyvoPSuFM/oXdzzYDUN/ZJU8uAno+ohZ2W1FDGuVfLIDTKXb4f4rX66XmX5MiwdDW3ms7tPl4IsYb836FwOO93OYgfoa20zvGY4SN4iPel7aroAUb8Kdw9oxCGHnFEuHcYrQTzyT9hh9Ghm516Iwnwi2F4MCwjVb3DlIVXsnl7sh8oB9rY4YtPEgYyBdalemT7bwfNlBjGD7Mp6GoYKbgXiFpmROAe/GyFaEw4j/3OeeiLlGCxMpK9P5I097qlhBe5AvPUmZOTZWdP8lrEc7FGMyph+fQOo9S9CickDr/OqLM20Y8YbuRWzJ/ZEtXzZ7asT+wYL8RQj4XIin62PoIx7Hk3s5lG3T77fdEhcYIyXbdxV7cqxc7il7qOuFlhhkvHDOc65KXkpAx1OM8FBWk3NYz6npucaSA/UG40k5EBfa7d6KI1mDbPss8zw7j+8N4L0NnoJNe+b7ZbJA8EEniyN1XMbKMz3wvqbFSaCmHyGjeC6gboC/ReGMtNRHxb82W22DySnRhmUwXUL0qDeloJhMTG+YoPDYmz/JFG2b63y+g+GCn4AKtrnDRbNrcu91jp5X5nAx+dzeidJVZ0GRRjNiWmOxDBD15r1EjXsQmzCR3zok3bk8aR7m0rYA0EEw/33sISLt0/W/eslNncsYkFmc0LKgxwcuJysCZvNDguKaUMvqs5M5u+dXSsPGaz9bA90hgpqhck2idkIDFqJBh5Y1G2iSbBWGECuyPsMA9uB0x0M1tBGVNRH0ilph0p2XigW4crLU/f0z7PPnsWfJitmCM2D0WYzS8y14tirg/qjAuI90QqMzNAiBaGHPRC57PvBaMxpPpJuCGfheaVMhujnv1eNrP5gQqOqLjvTpIYOGKyhRNjhu/L7/pCYGFKNJfPbBDKhiNhbaH/MLy7QVAkWSKDaqAwHwrhCkqhAnA3uE2RQBl0KtwTPAdnJk7jWWX6MFs5eTAMijBbMWeuRSk/25Bnjpm2Qkrjt2zvsXu3RrVzsnPiqFz9vi84eqQLufvzf4OKJZtrnnpezOYFjXT38uXymr94pZz1hjfKL865WOo23Crt1fdLy+57fXCPDJx4UN5zUVD+8A8n5YarTkjfoXt8rlsctO57QHqaD0lbzUpp2bV0z23eeaf0thyRjkPrl/S5PKvj0Dq12g/r7yV8Ls/ac5/0d7Us7fuCPculp/GAdBzeoM++2/8asO8+ad5wuxx4z/vl43/zd/LqV71Kbr75JjNilyu4vIgPDZXtfF9IJMd1BDeqZQE/8CIBOs3FgFwIIMj8hJkbcxZsbqBXIrX3PbpBfnXWRXJi7S3Stm95HjN1H7hbfvqtA/KOf+yQf/77pLzt71tl831rpKO6CAMuIM4INp9rFgWnr2BrVZ6s33aPtJ5z7nQCCCZhTFxtd9IY+9hbmAA4I/A+EY+KxobW4afqWpwRbEuHJRNsbjDq7X1wtVxz7qVSu+5W6TjwgLTtuUe2LF8jr3tlu3zrsi3ytjdF5fKL1sj7L2iVE1sekNY9LgbUTtF54GHpP/SwtO2dYsi9y6XvyKPSW33fzHUV4oxg87lmUXAaCjYVaI2qobVccolEPft6FwIdF1hhhk+GGX78MoSIYHKZAH2zB+S4CraQ7Fu/QTbuqZHjIQRcVg4e3y+Hg87qEW/5C4VSgo13GBlJyO5N62XVnnaJ62+sLb9rK8ETTrBZMMrtVQ3u6rMuloZNN8sbXxOQr3/4AfnqR7fLy1+alV988RZ5xxuOys++vd8RYPseksCj35S3vvol8vxnP0WqnvxC+e8brpOuw8tl00/fI39YVSW/94aPyQFl0jY3M5eJM4LN55pFwWkk2NDQttwlrWerhrZqwyyP9VxhBZ7V4licHEpPSNvm/5KnVz1T3v39rbK9Zqu8+Y+eKe/4+nrpHXGyKVkfHfCW5wf3Nd7r7O/UxITE0zPTSW6MyKTULPuc/P7vvE3WqUnVd+B/5UVP/nP5TZ2z8b+3/EpA+U9IwWbB3/su7JM/f/JKec9ZtXL/LQfk4gui8sANm+Wd/9goL/iDuGxavlqFm9MJ2rRjXPuBF5kkwK//+Delfvf90lu7XO647C3y7V9crdflm7jl4oxg87lmUaDPOsWCrfPYJqnfqBraxaqhLX9kwQSaF3TuTPKgfPE1z5TnveZS+dKH3ynPrnqufOLGGknquZ7aNbIhpF/07/YrX6U8/Uz5yd0dclTNXWZ5jrQNy8abvyWvfCZJyJ8tH/j3H8jFZ/+VvPbsj8g9TRMmLzHPGZZxqbn3+/Iy7RNVVX8kn3+0W/qO/lbe/tcvkXd/5zb5wRffKe8855xZ+PSV98gPP/7/pOq5H5Q9Q5PSdfR2+Vst4w0/2DHrXSrFE1qwMUKx3eRa0qaNT8rBFSvlZ+/9gZz9joj0HLxHug7cI4c2PCw3/3KndO13OkSHam/3XfEaI9hefNEXpGnPXfLgjz4p1131W2nf/4C5Zi5orX5QBdthaTu4aqoT+F+30GjedZcKtqOOFrGEz+VZHYdVW2g+or+X8Lk8SwcfI9iW8n2BDl6dbUek+1OfldDK9Ysm0CyyJydk2Wd0EH7RRbK6JSf91T9WwfYs+ZgKtoSep/Oba9VMpC+cVGAGsnKA40YwKvBP77jhPcrzL5Dv7u6TnuS47FqzTM75u1fIK175SnnFP54nN+3Xq04OyBde91T5s/dfIyuWbZfq3rQkwvXyxXdOXefBud+8W+780Tul6lnvk91GsN0qr9Z+9YkHnC2B3e9SKU57wcZWEHNF+iQgQ5kDGo+GA9bhGh0ek8jQqHRHs9KXyMjWfWl5x1vi8ttLPyTH1twhnYdWqDb1kLRNoXP/Q7LyW/8iv8vo9OLXyOc/8BFZsWWT9O1/MO+6StF+YIUjYFRzatv34Kzzi4WWPapxth6XziObVdtcuufyjjyzt+WY+e5/zSKh+mEZ6G5bkveFJ9prHpXG7cul/eMfl/DBI5JQ88yPXxcaaTX1eurulX968dPl1Rd8Vb77o0+YAfkvPnuLdI9q55+6DuG15dsv1XNPk+s2hU1aIHNc0X5gmXzxg+fIWy/6gXz78jc7A/rFn5eNXeMyoucHLbSvpSZF+oN75H3/9Dfy5WWNUtudkNrWsIn3PtYckZa+lAwMDpm+SB/kuaPpFvn5Jy6SC997uXzo7Avko1eukSBRi6a8uYM6Idj8zi024tmsgd85iyriegBLwQnwIgCMmSJimYkmNIkpWmJyuClm1Gccp6zwXbetw3wnIpF4HNbZNSthu1SAkVGG8og7suUTVJVTIXi0ZcIEwTF67XtknVxz7nukdv2tyqTKmDrad+y9T9b/8O1S9ZTnyX/85tfSdqBQ+EhlOGOK+lyzKHA07yUxRVUzbFh/m7RecKGEV280GloskykcobpIQICkx8clOewkwAFejYjfHPf6tuxxt0LgvY7jPY13yitf+Cr54qr75YY76k0ULOdSE+NTwYpOGjBWm9PvWHNJegpCzLdW92m/c7I9EQntBHjOZCLn01vfUuD601pjQ4CByJASSIURL4pq7CY2mtdcCeAGZVrBRl4KGJHPfSs2ym2XflAuuPhC+dd/eZt89iv/KUerV0nnnoXrGGcEm881iwJ91iILttbq+6Vh293Scu55En3EtZ2CDpynQrCBpQj3sH/0R3usnHAP+iz91/ZnBJtJhtQ1tV9Jfdis5SaymywSBNtyH/2VZ/n1+dNesPkdXCx4BZv7HGEi+x9eJ785/71GgzP+NB+mnivOCDafaxYFiyjY0NDW3SYtF18sERVos3xoj3PB5oeFimOzSosFx1ihwf45xPVt2s3aeBV8nQkT+sK5UCRqrnUrPt5yFwOPKcFmMRPoe7EJ9CWGzZfJK8QZweZzzaJg4QVba/Vyqd18jzSfda6EdfCjI/lqEmcE26IC4QXd0fowZUPRqHSEsmZp2pHGqEkRsGN/n8njykZUxv00dd9CCr3HpGCzMCbqQ2vl6nMuVQF3s3QceNCX6cvFGcHmc82iYOEEGysFGgjbuOQSidzvbOdNx4qNjpt8amTX2Vrda0wotgIig3VfOCHhzJDxN1k3ylJoEmdWHuSfs0KQxIhkRqKttu3rM1uSE+hM8mg0P1Z2cE8lbfWYFmwW3FO9QjW4sy+RE2qitu69z7cTlMIZweZzzaJgAQSbtnHD5jvN0ic7KeDHGxbujoTGhmBjAgttgtQh7CZIrhY6F5kT6Gz2PgtvmZXijGArD+62IuyFzaxpq3bV8PLaqi5sBi+/tnrMCjb7ApYAgFnUGmXyay98z5QGV5kP7oxg87lmUTB3wYbJ2bB5mbRcdJFEHlhReRxaCVPU8hN8SEoXNl0kCxmz/SQ4JdMH6WKa+wadTb3VlOJa7uFevzItzgi2hUVeW01oW0VzRiunrepbQtLSGTEmL21FMjFvW81ZsFnh4wfOI415GNPPVIx0LYNjE1JTNyLnXTCqlclKXUdCSJ3HjAxhIzgoSdPM9h3kIGKE5WVqO5Im9MTY7SOTsvfh9XL1uZdKndHgyvPBnRFsPtcsCuYg2JgU2HC7tJ53vkTWbJ7Fa2WjhGArBsu7VoAh+NAW+gedDH2YUOw4ix/JJJdNjxiehsfN9cNDqkU4WQ3d5S42Hq+CrRjQ1hJDM2tw89sqZbJVV2Hb2vAOGoo4NvZWxP4luwGpn8l6QBpoRjWzC5cKHJMlUMFUMWC0A+xmweJgYmZ6YkNm9sQmRpvUZ9R2nDQbyvMd6WolbCUMMR0mYtaiXiTH19xcchb1jGDzuWZRUL5gQ0Or33q3tF5wgUQeWu3b1hVhHoKtXMCn8Cx9Bj8eoVLMHDZ2RKSp3ekb+PyIISPvLTFl9C3rRPcrcz54ogq2kqYoQsxoVlNgAwsaDNiLeIlCcBdWCjRwpT62UjCzqA+vVQ1OTdR1hfPBnRFsPtcsCsoQbPvucwJr360m58r1vu06JyyBYCsEa4q6+4XpR9qf0CZIvEg63U27uk1gO1ukkrfaBsxyHYKv0kH+jGDzR5XfwcXCYgg2gAZHHFz1qk3TGlybagPuznRGsPlcsygoLNiMhkZg7TnnSvTRdb5tOS+cBoLN75wXCAXrP+I7wg03C5l18Rvtn8oJh/mLA5086nbW0Kv1nRFs/nhcCDY3jIBTDe4aEyZyy/QkwxnB5nPNosBHsJl8aATWXiLRh1b5ttuC4DEi2MoFwsMKQawplis6OeH6ZOfBfpMTrrknIYFoQoKZUeNK4lorALnXr9yFwBnB5sJSCDYLnlW9cpP86mwn0Let+qEzgm1J4BJse++dyod2tkTWlA7bmDceZ4KtGBAsRnidnDAam+M8HzG+bVYH4P+2STHxkw+kR2bumYJfueXitBds9iWXAvx1hCfkkveyhNfxj1EJv2sXApTNk/Y9sl5+8+5/k/bje6XtwCPSvP0Oad6xbEnQtO1WFS6HpL1m9ZI+l2e116yS3qaD+nsJn8uzdt0l/W31UnvOhdJ60wMSOenfPosBhAu7Y/udW0zEh4clpp3N79xigkSTsQKJJi3Q4Kwp2zc4KvXMHB4Py94jQTnYEJXjbQlp7ktLd2JYQmr2MgD5leMGAhLB5nduscEgAvzOWVRhoy82UorE2Lg0d5+UB1ZPylveNi5HakV64hMyODFzTR70+CxMnUtqWSChDGww6qAnmpHucFoaOmNyoiUiNScCsudgn2zZ3eVkODjQJHd+6dtSt+U+1WZWm46/2Gjb/6j0tddK1/Ed0n5gpe81iwJ9Vtfx7dLXdkJ/L9FzD6+Rpu0PSOdll0uoodEZPScnTNsltZ06Aik53BCULTs7ZEd1txxrDps2o+04b/jA29aVQMtgz7yEMr3v+UUEmmJUBYzfucVEYmREosnkNP0qAfQdVMGY1jZC85tpq3HpjqTleHNEtu3tNv3ncH1IOoNK26m24t5wNDr3tpoHoLXRzH3OWSyIKYqERIJb+57RAWAOopUR6sHMTyQ7KrsP5+S880elY2DQxLHhJwDs7wdsGMmBEyETXsKmGsSlsEuoDSVh6zSyExCaQkYSnsVz7HNtPdxqNzma2LvPzKKucFKWM8lQaaBvpXgimKJmUkBNzpYL3y3RB1eZET8Sj/vyigVtYnmFdiIsiGBL2hzAA4cawsJmnJhXtLVtX9uus8p9ApmiFnTixZ48sP0b2tOnmewgFGwgGJ5uq4NTwc0sn+K8bSva2Let5oGyfWxMNdsgWgSQzcsG2KST4Fjs9uMtcROnQ/AsW/eu29ppgmpRaauPhcySCK7r0OsRPuyVTVmUCzITJ+VI83iejw2CuQWQhbuSCwEEG6M5jMBvGmjfw+vNJIPNB+fXaeeLx7Vg2+tMCpAPLbJ64wy9tZOVEmyl4OYFgr2dIMwJw1ssuN68p1u2qxZOLkCOhYfHJA7vqtaEKVpQ+C0SHs+CzQ/Q1vrY8ttqRpFxVnbEZPt+tZr29pp4V5a0sT6U80yIcE+lbVWWYGvuT5sRkd12TTCtakBUDM2mlBbkV2AxLOXkgRdewWaOKcws6sqN8qt3XSTHVt8k7fsXJrGlxeNRsNl8aKwUiD68Jo/OBgsg2MqB7RSWPyMq3PojSWnsjKkVEDWaxL6jAfPJoutAZmRaS1xoTeKJLNjKgbutkAPIGRYBGKtNByeEHtZZtWqAhL30qjzieq71tlXZGttS4XQTbG4gxKsfXidXn0Og7y0Llg/ucSXY0NDIh3ZRgXxoFksk2GZBn+s1RekQ7k6RnBQziOPW2FbdK1uNJhExO82TYDGUVc1vjLTf+QO5vb8Qzgi2+cPbVnxnzS5W4K6aftNWmL5tPVEJxBmoHEWM67xtdUaweYCA279q09TGzzfP20R9PAg2Z6Nh1dDOPkciqxyT082As3AaCbZS4D3cWh9CjbCJ1kDahEmwTJBgWTrWibaE8e1yH9e7O9IZwbY0gObJ4SFJjgypZXnShLG0BzNSr8IPX/2ew9pWBwfOCLZCoH770ODOvnRqkmFu+eAey4LN5ENjo+GLL5FIJYG1jyHBVgmsEAT4iZjsIM0OSRvqWtAkItIykJGexJDxL3O9VwAuNJ5ogg2cMUVd8Ao2GqYUuA6m3Hz3avnFv15s1qJWmg/uMSnYyLaxeZmz0fC6LZUH1j5OBVsxkN0joZ0NrY+MNiyDwuRtDWRMhhq0iM27u40/qT2UNZNpfvxWKc4INn+ctoLNNjaCBWYBjH7W+QiYKSPcA1u7P+VEXTPd3NCVlONtcZNhgVkzHMmHG8LS1hmSQ3VB2XfMWYsHs3GOmZum3pSZ/YUZGY2TE05WBsAz2byWQN+rz75ENbibpKOmPA3usSTYjIZm8qFdLNG55EOzeAIKtnJNUcvP8BQRAyTDNOaumlCEOMGPpPKCjwNqZnEPPMg9fsLvjGDzx7wEmxU+XtjzTpYQJ2sI9nBGhcWhxjE5/8IxFUY5I4hwDBImwozI3qMBk/3A5mQjqRyNzYiHDU1js1gYwQMiI+MmBMBs86dCzmQnmYpyh4HcoOGNxjbhmAju96gEMBkZfU3K8jIy+j4mBJsKtLp1d0j9v54nA49uMJv9ujf1rZheeu8ZwVY53HwLH6PVYdJi2tJPyFm4fkeX7K8NmziyoPaB+MjYtGCbU1vNETzntBZsVguy4R1oQKw7Y7qV6Vj8CCbrgGo+zEjYfGzunGwWTNnyyYxTQ49qQMGMluHkZEMA5eSkNpCTj03bzTzXamM05mI2SqU+tmJAk0HjNGEiBPquVg2uwCzq6SzYCNuw+dAIrKUNDA9oh6LdSPBp25b2JutEfVfKzB7S8awmYQYON84ItkUF9Ibu0J+VN/3huLFSauh/9EvTP52t9BCKDPgF22qOOO0FG8KLnGzErgGI4Gg+jvZjL7SjgR/cBRYDxH2sTB6UCwQBJqrZ+Hkdi+3z4+BOS8GGybnuVrNSILJyg+97eeFua6OFqwZOXBgrQciAjP+ImDE0i77kkDJ93GjSXE9nApXwypzwBBFsbviZot62SmlbsRrAWdkRlI07u4z2hwJiJjqGVOtThYb+Xm5bcf6Mj20Kj0fBBmyg7z6yibzL5oNzBNzpJNhsPjQ2SYmsWMAEj1OgQ1hNAo1tID0qbQNpYVkUTnPyizl+zUje9mzcsyBC74xgKxvQ27YVAg2rqk0tLISdaSu1znbWOKmR8D0j+GxbWcF3RrBN4fEq2NwwAu6hmXxw7dX3nnrBxq5P61VDu/his3P6nCcFyoV2smKmKJ0C0EFio5PaodJqPoWm/KoDxqfK0htMXmYX0TrcHcqvTIMzgm3B4W4rNHCWrx1qYElbr/T0Bo2LimSYWH0h1fwYrGgr215+Zc4Xp51go9OfaJ8wPjZmGYsy6QJjqQSbhQ30veqdF0jzgZ3SeVgF2867Vegg3JYA+qyOI+ulo7ZG2kw+tE1GoC0JzUsItmKgfnQKtAO+4zxHwBE2wWwh+wls299nEiPgQEfwcT3XgjOCbWlg2kY1NoSXbSvWlpsQF6P5OevK2UuUScDGnkE1h8fy2sqv3HJQlmCDERYb8WxGQsmM3LpsVP7to+PyZ6+YkK9/c0J27R+WwZG07z0LjnTadLZYetDUJ65MmBhykBrOGQyOgCFhIXU4NSh9kYT0BOLS2ReV5o6QNLYF5Xh9v5xo7Jf65gFpaAmY483tIWnrDkt7j5pYem33QFR6Q3GzeW8wlZVwNCb7Hlgh9bs2yUDnUelpqllU9LYeUm1tl/Tfukwi+p4xOp0fTRYRpLTxO75QoA0TOTVnaUP9jCQHZUDbqz+obdAbMW1Vp+1U1xyQzv6YaU/aN6ntzPV+Zc4HkWRSIomE77nFBIN1RAWM37nFRigS8T3uxay20rYYiCa1n8S0z4RNH6prGjDo7I9KMJGa7pNcH/eUB52ht/uYF0uqsVVqilrJ7ob3GvwDDnBoT5p4tt7kkJmVZUkM6VTIPrL7YJ/U1uvocbBXdh4cMBHjR5ujZgeu5v5BY/r0qGbAchocrYSTMJNLFgJmCSmf57nVbGsaFasfx2A+rkWDIw6OtajlbhtYEZgU2LTM8aGt32LCNhDo3jotOuahsc0L+lyYOjU2mtc+tB/tyUx/Y2/KhBCRnWZnzYDxKaFluDWeQm1ZDE9Ujc3vXCWwtLaanAlxUZOWNiFxAet4t+3tNenQ8dXShvGhGY3N3u8td8EEG4XDSLbjo54ChBlmGbY3Se32n3D2FR2IZ83CY0JJcFYSmGi38LMhBjgwgZOTLTAVvEhOtkHpjORMSAKhKe6cbDyP724BZF785NKaohY82zxXzaPpMJFVrjCRBcgHZyYFNt/p5ENzLX3imU9EwVauKUrbWF7lsz/l7EtJqAR8Bw/Cj7VqAsNvmFrwGNdP89UUzgi2xYW7rdJjI9IfTRnBV1MXMe4J21YE23doW00LNjuFTyBtbGzSzIIgNEgFQ0gIuZWYyiean0J2HwrItuo+Wbe1w+TG4jd+DxPxryCPG8xAtoQYmo+Wl9ZyDzc6+diGXQ3hHl29sNfMF0vtY7PgHaxgcx9HAJt9Uc95z9zzwbH0af1t0nL+Bb4bDZ8RbPODmw8ZmNEmEG4skMcS2LJHNYn9/XJU+0R3SE3RVHpau3ff61f2QuGJItjc8POxuelNfsmqejXXcMIy1YuaxwawCCFi2qwWxKcd1dxaEHAXXgpPhFlRL6CRn2ADNkzECfS9yGhw5eSDI7C2bss90vCuc6XxugckrGVYTZW2seWfEWyLD9qXPpEaHTa7kzMzyFrQYyrsDjWq9VEbln1qcRA829I/aHaTsv3Jq/XNBWcEmz+q/A4uFs4INv9rAAPIvkemwkQK5YPbd580Erbhs9EwmjZL1I40R2Xz7h6zQ1Fta0QGInHjN2R2kcHKrR27719QPIEEm0UxUxRau+mNT7g7njNhLdure43lgxmFgoFvCR8Tmh/thND03u/GGcHmjzOCbZFAw9s/dspSXs77G1e4tSsLBBwbPxPoe2LNzdJ7+BHpUTRsuycvH1opmI4wPiaJbMY8BxOKXGJMlBxvixlNggDMvUcCxqFOgKbtSPMWfGcEW0WA1tDcWkUsjkfAoeGxjhptj6QNrBZgQoxz3MP1bMByRrDNxhnBtoCgsd1MOhLbLe/5i6dLVVWV/OFf/beE9Fj9ji/Lnz6jSo89Wd50xV3SlBiXXhU4LPAHuAZg3qbgmJz1jnNlmd57k+KK939QgqPOtnJ+z/ZDOaaora8VZnQafKkIPbQ+NAnqhHmF5scssX0/e8+scs8ItkUBtLbtxSdJFlv7ktLYGpBdB/uN77u23UkWQTsymJVsqzmCss4ItimcjoLNMkspmPxaqWFpV3OvsTslx1tjZuaM4MONO7tNVhIzqurvQzrCHm+NyqrrvyjPUaFUVfUi+f6emMQHx2Rg7zXysuc82Qi7V3/oKmkaPSlp7ZAwH2DE5nNoeExufOf58qYnPUn++Xd+R65481kSjCUMg7rrXwzlCLZi4L15ntXiiDwnyLI7MWRmtFlus12FHym20SxYd2gd5wg2Pv3KXTQ8zgWbH6wpmlabwN1WuB1MiEvC0fyIPCALMKYv7gomA625a3ncr/xC4Pozgm0KcxFslui20awAoCxgO1xkZMJoFDRkWzBrZq6IUSI8hFi1Yy1RaesKy7EmJ4yEhduo9sQy8ck0MZ2zTe/DV0UsG74Onslz3ILHMk8xhkgmd8rZz0WoVckz//4DcuVPfiIfOvf18up/uUi+8OtH5HjspDFP3cubKCuWzknvp78qkeWPTJ/jOPQiXdJ1779cAr0Dpk72vkKYr2CrBNDD0ieYGTGBssSLsaMZZi8xg2iizJRDV67nHbi+EA0rxhNYsPHufuf94O5LaHVMHBIvRmQDoS4IQfoOWjr9gHu8bcXn41qw8YKFYK9hFAfZyZNKtHG54MIxyelogSrNNn0Ex6JCH26KmJxsLJRev61T1m/vlF1KbLQgkxCyJWYcrAgtVG20BzqJycs2FUjLSMWzBlVq0IAWjGisOmDnbG/9FhojyjJXX/QCR6i99cuyf2Dc+NRSbSvl7a9A2P2O/NPXVxknslM3kWg6K70f+7yE123yLdMCBqtesVGu++AVEk6kir7HUgq2PCj93aYodbTtQNgE5iztxkJ42hSzF62XWUQWXNOehB5BH9tWxd5zGvrcM4JtfnC3Ff2ICAmsla5YzsTz0Tc3aFsdqIvo4BWempRy+re9v6y2mgfKEmxWcgM6Dc5rXooYNlTZnnjOMCCBi/hasONNLjag3/3AeeOb0XtwTNsNjhOj42qmjcmFqrHxx/Pss6kHz10swizV5IGh3c7vyHOe9iSpeuqfyufublGmc/KXjYT3yEWvfZYReH/wsrNlvb50Zki1zE9+SSIPrPAtzw/Tgb4rVcChwfUFDA29150ugq1cQDvLhwxU8B0xkTO5/0LGkU5gJoMifJKnSZwRbEsGaM5SLuiPQtGt/RvlZKatHCA3CCND8Nm2op39yiwXZQk2FhY7Gxw7mWnJRDuXvGzuQguBF3s8Tx6Q9G/3I1+WVz3TMUFf9LpvyrbWVjm2Zav8/AsXyguf8hR52nOfJy+5+FfSmBmWwKe+JOFV5eVDKwRoWv3oeqPBheIpwzj23GNNsBWDl9fsJt8socNs2qOa/eZd3WbdbsdAwrglMLPgZ65fzEETPNEEG3QsZormtZXWDa2OVOfk79t7LCgbdnSZFQMoS1hfaH4ISK6nrWx7ucu0KEuw+R1cLDzeBRtCxe9vcuqTv5w2MCZn5OEKdn0qgelA31Ub5Vo0uEDY1OXxJNjKgj6XBdfpiTHDawg+fK4kWGTFDFYEy/N2HRowv7EikjpoW4thPkLvjGCrHAgv6E5boUSxhyhuKbR0JqbwhdNWR1tjxjdLe5pr2Thn6DQSbBig9V0T8u6LHVN0vippJWDUMIJtYsL3/GIBBoiqeRQJRqT5w1+UlpsflL7suJnscPvYinUqe94NO6rZ+2EMRsXB0ZOyffka+fWll0tPd39JBlgsnBLBpihlivrREW2B+L79J8JmU97qYyHTuZgBRyOkraBvsbY6ZYJN+dkINp9ziwlosNiTB5bWFtCftuiLpKSuJSib9/TIniPOMk7aqk/bCn8gbVVFip6lQDiRlluXDcl73z8mL3/5pHz1ayOye78ywrD/9QsNGj8SjUo0lfI9P1egERWEMno4npBgQ7OEm1skobpbmtQ5ORV0qUEJxpImTUtTW0BqG/vkyLEeOdHQp9/71aQKSkPzgPle30KKpAFzrKUjJK1dam71hKWzL2JSJPUEY9IfVvMrkpBQIqUmaVISIyPS39snTQePSDASNalfvHVfTIQjEd/jiw38PtFk0vdcOaDd4pm0JLSNUkOkzEkbE78vHJcubavWrrCJG6vVdmrR9ugJ6PO4J6XPVGHO9W4e8Ja/4FB+Nnztd24xofx0yto4kTC0drcVKZHgcSbU6AtPWFPUPQoAVGI7kUE9jSmnGhA+GqLygZMMwJnFbTJpkZwdtogLOlTvrAskdGTv8bBs3NQs1Wd9Shp/c7e0hVLSPpCQln5nNjeUG9WyHbXamkHA1gNwjtlDpuIxoXYe7DdrDslYikMWxzp1QhO1ZXC/+53RXDhe/cg6ue4DV0iwP2DKdV+zKDiFpuhSTh5Y/jFtlRuS7iC7kUfNLK/JRqNtRfYaNjWirdAkCrXVXPFYNkXnivjjxcdmhZAbftcR4gEIF2BDEWZj2akHAbT/RFCaO4Kya3+PrN/eZfI7MXXNzA3CghkdAhkRJAgfJy/bmNniDAHDLB2MiSBxCyC+A+rEZyw7JH0fvULC6zYb3xfHjUBdgM5mn8FzMWOpF4uqEbZMApFdhfTa1ceCxkk7kHA0Du6F9uSDu95MMiRNOd7yFwxPEMHmhtcUdbcVv01bZXVwjCtPdiSMubsFU+pwwAxUCD7Dv1PXcz+wvwvhjGDzx4IKNtsYtkGB1YAII0GYkbbo/AtHJZIeNtPALYGMiU1DsNjNjdFQCBg0U8aqBTF74uw7GjSdltgnAm/bg1kTTMumIYSnIHR4Ds/juW5tiIaPphdn8oB3jmaGpOeyL0vk/pnA2ulzCyTYygXP5J0zk+Nq8qaMkxz6QsNj3UNy/9X3y/+e+0mpP9om/Vn2ZJ0wdDP3KPzKrAhnBFvZsG0Fz/Ld7iHKxjfwPVtaGs1PhSH5B5k5tPxNW7FP7hnBNhtVEMfNzGglwNllfVKMtqJCg7ghzB+CY1lOhHDB7ELrIbhy3dZOk5uK6GUEE7NODd1EmmdNY6FFpUYm9JyzYfIQzzGBfc5zIZStC9/dsHWbDxZrVjSWykjvx78g4bX+gbXUf6kFmwXPxA/hPmZpiiDbv3KD/PZ9l5t9KcPDEybrMKsFzPIw1SSmM5YqDziBz/nt4y43D2cE24LA0tnSnH5JwCxhWUx2GNfHwV5p6dC2aouZkC1yH9q2svcDv/LnA8o8rQUbWhJLjgh6BIzuTJFDPJMcUi8qpAVVSjTKeDyEe/DOsdyI9CDQHlrpe40F155Ogs0NGyaCiWrCRFyBvtTbahL8DqhWjG8R7QFtmkBMzCn8i5jvzFa5NYkzgm1pAD/H1RKxbcUnZi0KCMsEp9tKtXUUDjbFoW/Tp21bVdKHLbjnjI9tCo91wWYEWjItvZd9RcIr1vpe48XpLNgA9QMIuAOqwd3woc9JKJ6YFnCFYO8D/EZDQMvvCGW1A4WlszsgO2r6pwUf7gICZtHS6Xxz7VBF8QQVbKVMUW9bAdoBawrFBr/s9gN95juD10z+PsefbNvKfT/fzwi2KTxWBRuNGFUNrfcjl0t4VWUbDZt7F0GwWUazjIewAAgkwPfQYM6ElLCYmYkR3Acmy8NBMnIweeLkY2M0x5fDWs3GgSFZf8dK+S0aXDBsyvZ7flFMmaK2ftNanHYWlt5gGVAXNAkyTuBPYrID57p9j7k+94xgmxvcbQX9aSusN/zfxIlh9tqccPVdKTNQsfuabSvu9yt3MXBGsLkwF8FGY+FD6/nMv0ukhMnpBve5GcVoTRNj00LHWQ6knX9k3CwGJ+IaXxazuGg3jJomlKTdicBG6MBQ+L3YXWnT7h4zkcLkCuEmCApmRikHhrTCgUSTzIpaxrPwq7MXtE/1w1NhIoGQqbffdb6YEmy+51zAFMYk4k8VPlNnjuGT5b1Ih4QPFxPKhLjwjukR40C375gnAOcp2KAN9bB/lex9+1gXbOXC8hC0J2aQDXCYmGKAIn8fpi+8y54naH5EE3At/LNQAvCMYHOhHMFmG40GiGZU0HzgM1J308MSnHKaAzoWedmISaOzOT6MkNkYlkkUNCF2M2f2FqF0pDlugmjb+hKmY3aq8CJCmkbH14EgoqPiGObZMIDttLbjWoaolCnKMUVLgTbDB3fdBy6XUCxRXh3KFGxZGZOeh79u1tX+2dt/I93mWP41tj04znc2GsLfR0xhc39S1ixfJl/74v2yuTYqdToQ9EeTkhxzEnJauMsrhDH9t+6HF5q6OHiufG55bd4MdzE8UQSbBXT1mqIcs23FJ3xt8vdpW5EMgwEK98SO/X1mTwiOW76vpK0eN4LNvrQlGrDaD2UCfAYmEaIKCzQXtB9S4JhQko6E1HfETbT+iTbVgKYyD5CTjdgvTDIz2jRG5cDhPqm99ArpvmW5dGvBxi+kxOdZmEp25hDzDbMOzaKZSZeEswmOrZdbGJ3OPrZywSK4svPBlRBs0CTVt1duuOkmeeSR6+XNv/sMefX5N0qfHu/u3Cs33fugHAmclEDLOrnmptvkprsekXVbtsjN994kv7z+ZtlJKuKpv7a998j3/2PjtOYXbN4uN950s/zqhpvkp3cdly2bN8o3vvpD+frP18qy234uP/vV1fLzX18jv/jNr+X/rv21/PK3v5bfrDgsNZu+P5UUtEpe+JZPylXrm8y+rF5BWwhnBFtlsH0ZPrKzvCgDe9TcPUBsaXPMLJAnnIvzXM+13MMywUUXbLygW9C4OzRwX5tTzedI89T2e8YcmzRSndRITFWjAZnUJyo4MLUIYFy3rdN87jZaUGgqhi0urWquYbYxAwRYI4YQIjzFakDEtdn6Tedjm5zJx+aGSfD4sc+ZwFp3nQvB3mffl3fh+Xb2EE2OdYds0dbRHZb+eMZcQ73c9wNv2QuFhRRsFjCXo8GpiRovoMEVEWy0RdODn5SnPPmP5XNrVB8aXS9/99SnGcHWq+cS2Zg09PZLf27KpM70yJfe/Lvy3Be/XZa19ZnnZccGpb69WY41N8kjN18pl/3br2V3c7PyVqs0xcdk/Ngt8pI/era89foGLbBOlq9plrjelz6p9Nc2iI2Om92k0L6ZPcS3uKOGbMgRqW3RTlV9h1z6kip59ZcekIHJfJ72eydwRrAtHCgbmgPcNvRphBuTHURw1DYH5Fhdv8kJ1xZMm37Hde4QFxPHZhhIYYWTnQpmlosYNuxoggPpsGgsqJFoPDDE5q1b5Duffq+8mNHumWfLrceH5VgDOdlCUqPA8Uj0P9PM/YmcakhDJkB3SCbNTJx9FrD1sIzk99JzhZ8pyjNi2eGpfGiP5l2/UOBdEKjpyXHzjiynwoxlBsqdu4rAZAQ1Hc62BZ/zocNiCDaAeYbGvX/VZidMRDU46jt9TRHBBj16t31Nfqfq9+S91zTJ+MQaeenv/r787buXmT0hgrUr5Lv/8yvZ1pg0WqJMJGXlrkflS+e8Wqr+37/KppjjBaMOWR2salZeLV/42D3Sr79JsY6PLTGhfBW4XZ6vPPmaz90qffobWpLss9Df8U03y3d+cr0chuB65X03/1Ju2NAjHcr3x7QzMdi624q+EFANnssR9skR1dhzZwTbUsCaovASfAf9EX64eoifJStIFZrFibaE0ZYw37B7TXCuAg0DJ7fVfmzBvJQbkzrWfuMvXiB/8GcflZ3KRAgsd0UsqMDp4mMjbKPnk1+U8Or55UMrBehTzBR105ERxzGpJ0xbHFXtdPv+PqOxOjFIaTNymeVdeh33FBsEFkuwuUGbGhNVNbhQImkESDHBZpE+OSbBTFqCw/o+qu0EFXHVjlIToyrcne/JsZz0D/LOQxIeJrYypxpxRiLKY/ad+TTPBPrcaCoubarxhcdH5PCqu2WDnijEj26kZEIiauIM6CDUnxs2ghPauq/hWRb8pl/QV5jsaO1RTaIxIBt2dBttnVRJzooYJ2CW621b2fsXAk9kweZ3zqLK72ClmHiMCDZMhXB6yJickUfX+F630IAB5utjoww7OgG0aAYgVnagmjNryqJrQjdYdI2JZbQ9NbuZFa2kI3GtfR5lAPtc2o9PRseICiTrx2T6v6FvSO76+b1mqVZ/X2B6jeqSQjt3Mtwhqx+4Xn55z0Zj2nqF02LBbYratoJe+H3xv9oQF4Qevl1muGs7k2Y2nHu43rSZwl1uKZwRbP6oMile5oFYBgW/Vf79Fc+X57zsw7JdW2c4N5h/TSopgWhSfvK/w/KmN43LC14wKZe+d1zWbVJGGMovb1GgnSwciUrw6DEJDwTEpD8hfZHftQsNfU44GjUajO/5cqHlxMDgDIg4T2QcJLNpc4zrCLANRuMyEIpKTx/pj/rlRF2P1Df0SkNjnzTq7+a2AWnvDDqpj/oj0tUbks6ekH6Gze/eQFTvj8lAOCahWFzCWn/zfA8MHV0g0WNvZ7f0dXZJb3evJJQBI37vs0igs5m0Nj7nFg363tCHZxs6+F0DXHSysHQkvRW07u4LSwdpqbq1PUBP2LQF7cn1tDXtbts6qu8Kf/k+bzGhzw6Fw/7nFhnQGXqb9/c5D+alsTlSu01WPvKoPLRxk6zYtE7uXbFVTsSdfPTe69HSTnRMyIUXjZmsspWOTpWC8m1gbWjlOtU0SBdUeYDufGDqoCNqaioEgdHcrQ1ZEOnNrGubakCYMcy24hw1kyi7e4xJyijPb8xSwGwvOz8196fNXpLGlRAfmg4lCal2ap6to7nVuqwmYVI1Z1XrijhT8fj8mKAh6wkzUpRF/akb9a2orTAJlbnY+NnMooajS6M56XMfLwG6llegv2mrzKhpEwKZaR9m8wktOtYUkUAkYTTDObXVHMEzHvemaLlYKlMUoscGncDa8IPOpACd2+1jc19rmcgyklsAOH6vqRlPZS4yqsJgLB0ilARGY5YWQURONmC29lMhRAjJpj290tyuZkdLRE2RuHE6M5GCELPb0PEsnmsZ08LWzV3fSjBXHxvPpC68f0TryGQHqwPIM8YnJhXCEGctApTr7TuY+iqtrY+Ndq5+dP3UWtTytg2cMx5Hgq1csOtaXNsY+rNelwEOHqStCJ9gSZtJRqE8G9KBDH62bQWP+ZVZDmjnM4JtCvMRbBDSD95rSB/U+9ErJLR2swzoQ5jRxb9B47Z3h7XRQ0Yr2bC900Tx202O2fcSfxWCCo2pOzokfYlh4wC24SRmiz8dGe1Eip8w8gokU6d5+tjmirkKtmLgfXhH3hs6IPCJG2TZ1vG2mMlRv21fr3SpWYsQxx/HPbT9/tWbpwN9KcOv/HnhCSjYivnYZrXViBOORGwY0Qr4Zbfu6TYxmcRi0pbuey3cZbrPP+EEmyWI7fiMEABvXG3nSSPYciedxHtmKZGJIk8boUJGAmYDmVI3y4nqwgZM4dIAmGIII5ywNA7O8i5CUbrj0vC+K6TmJ7dKS9KJabPPJKSEerj3FfWr92KAZz2eBFtZoBOpxgbNob1ZHK/a3VE1dw93ZOXhax+S/zn7E3L4YIu0hZ2VHHQ8205zFnoVCjYGV3jE71yleCzHsVnhZ9pKrRMsEiwQ+hv9jskpXBX0T5KwYhpzbSQeW5wBqgTKEmxWCFFB2+GN+TXphHkQ9gEYeQELYwmmRaDw8ggYNB7sfXKybdrdbXKycYzzAPWYUSIyMio1daMmH1tmbGaDYxu0CqiHG7Z+tm5emHxoZqNhJ7CWe/ikXHJT0WlYu1Z9LCB1jX1ytCFsYvEGVAtLqPZln+1+li17IUB5T1TB5ntOAU3Q4A6QLukDV0h/NKHC76TxDcJXzO7CR6yPRdPmOCEwhLhwf8G2KlOwDcuk7Ljq3fJHb/20HNAevRDC7bEs2IrB0jmvX6kc6EupJROKGNeE0+cHjM8XC8ndVvb+WW01D5Ql2BBM1hmNr6hRVVJMCHKyIZ2N+aUCiMZHSsOQfEfC29G13IrPxxR1g2eZSQHyoZW5jZ2NYxucdBblUheEGu/JSMT7MzIRWLz/RFBpQcZSZ8uv+WgSpq5nBJsBtICGlncAk0iHN2yVmz78eQn052/8bK+lrfjNGlviLQkMn2krx+eHvy8+Oi7JYWX4Ccd3acuxoB279vxW3vBkZ+nUn57zBTmoDzgj2CoHbek2Rflt24rvfToY4dI50mTbSq0uFYK4fAgRQjjSHtC+0n5VlmDzO7hYmK9gg2Cx5KD0furLFacPKmcRPOAZwP62fiQaiVTNm3Z1GY2C0clxyKrw0EbiOhqWRnLfz/fTXbDZd7bgHaxQARzj/RgIWA/LYIfPkYkD/GuAVROs92NJHMzb0xcyo7jR5Ld1may8bJSLIOKaBlwISj+CWxk44Y39bPxslmpNBfqWgLvO/HbaOC3t/c6O5JunNInjnVlprT8o3/mPH8qungb5yCv/0Ai2N3zkWmnT+8p5Vik80QVbKXjbivrSb8xkh1pRbKXHhkVG8IUzEpwKbobnLD/aex83go2XGtSXHPzc12V0V7X+Ki+a3I1yBVs5sJ3ejvRkMOiIOOY5vgg7g4g2zL4MbJ7CkiruMe+ygLDMYhufZ9i6ZU5OmGcjgHqJjg+kpVE1HupI3QghIdMCgtqkQVJhYPwpzTHj68SEr9frEeqs08MXivOZ98XcQJulTQHPA/Yd0djyGLkMEO3PKL5/zWY1US+XQCBkyvO71hd0Fo8pKjIgt/30Z3Jfk7OXrSR3yBtf/Ewj2P7ygp/KmoYh2XOo3whCZn+tb7bStjoj2OYPypzmXQVRAwx+JhBdtXKTvw+TtylodgRjI6NCbXXaCjbD0LEu+c133ym/X/VkOf/Ht5mFzKMnG+SbH/9Lw5h//eWVvktf/LCQgq0cWGHDO8ezaUmMODsU4XPceaDfaC9MxTf2kAgyY+LPMIuZhaUxESSYyMSpYWodVlMZgTkdRrKrR7bu6zGNjRmNiYYAYjIGn5Spx8T4dD42YAWNhbfOCwbtZMV8bOWAgWv/ig2OgBsIGTr6XZeHacHmpL4+subX8s2f3auizcmtZkRbfL28+k+frvzzNHnXl1eY9alu2hheOilmbTQDANlldx8cMJlcGnsGTdswS27dM7ZTnRFsSwe0NTJ8QHvqwYDLGlEGafL3MfF42gk2Kjqc65Mff/j/GeH1+3/wXtmmHMTsJudhptrV35M/+z38JE+Wv/3QvRLWY4Yhi6BSU9QLyrdg2hzzi2R6CB9mZ9lFfN+xkGzY2WUCak0YiWpCBNkSPd7cHTMaXZtqTXaDG5OFVE06wHcmOphkIUaMGWE0KqNJDAyaxfHuOlAnv/q7cbr52OYCeObAmi1y7fsul2AkVvy99blZ1SJX3/YN+au3nCP3wfn6x+DHeQTbkWWflT96CrzzJHnlpV+RBmUseGpWWS7Y9rcdCRPKbG6kQo6Bp1rN66N1bGztuCg4x3Vu+JW7EHiiCrZCpij1oq1OK8FGpWKBbfKupzrO3arf+2e5J+BsEmLPj+uda/7nQ/IMzj/pafKW/9lnsp4yQvNCNiOJTQhJfBWo70pIV39E6jqiRq01kwWEkagWhBlmNCEVJHuODDimmAorUiNhSjJCk5UDxqYudAT3aG0FDfB7p/n42LjfPpfZatYd0plIZrn3qN0RLGb8W2h8+MC43nTW8bHHvGCzgF/2r9xoAn0HegoE+upzWS43ZXSaP2hhz6MFev/gHb92qxRGY8tlDS9Aez4Z/FhHS44xBjnMfDQL4irRCPFVWl6yPORXdjGcEWz+WHDBxgv7gXNuwTasDYFjkGnhpHJXXygpPR/7T7njrU92hJriDV94WHYeiZgwkg07umT34aBsXnW3/PNznfNP+6OPy7rUpARU+8HexvfD0iQ0KgJpMRdwegMnH5t28smJWcLI1m8xQNmLNXlg627fBZ8XPiJMUVZF1LdH5ER9n8laWtseN6E6XAM93PcDb9nzgpa/0ILNAiFwYLWTLinoDfTV556uAbqWzjNtpTRSPjXL6IwDPWI0fSZbGHhxWxj+nQpHsvcDd7lnBJs/8uLY7EgPEEJWC0L1Dk85oPExNKmpZFP9Gs2n3pnStfmqMJ+YijeZZo8FjWaEltGi9+yoych5F4xKatTZYT2hn8Erviqxh1eZ523/79dMCba/kh/v650ecTEnJhI18q5Xcu4p8rrvrMln6hJYah+bBbRdLMFWCtYUpQ5W6+N7IMNUfNq03XSeMW0/8uxhCjM4WD7gPu7xK78gFlGwAXgBDY61qDYfnNHgTmPBVi5sX7S0x02B5UBbMaNs2wrhx9K8wKAOVllnSdWc2mqO4DlLKdjQtm9YJvLweh0UhnLCylgrG/xQhYq89wiO7KnMtFM+IJifmS80H0b5cvKyueF+iAWVq64bkXeeF5d0OiEd//Y5OXbjQ9KZHJGINiDPysiEHPr1B+VFz/h9qXrpR2VNe7c0thySL57zz/Ls5zxXPvaLBySgtgYN6feMQqBOXcGg9KqQqUQgzgc8E+K39AakN+ns/eh33WIhquZzXzhTsD0sbJsB2tdofiMTRsixzGzr3h7ZsrfXONMx6+lsmLzwA/dAz7xnaBkd3TPZdW3Z9lo3OG+fCRjsMNHQPJkVwxfZEZryZarJbXbZOhQws87rt3fK5uqA3PuLe+U371UNLs5i8DG1AiZm6rJEWKrJAzctcU2gGISVt3qmHOhofJtV80MQ4s+14UgF22qOoIyl1tiQH1/+usgHPjAiX/zSsPzxC0Xeda7Iik2i1ghasDPgpdQ6q/qv/56QWfiRz7F54gf/fVLeceE1cpVqYwHFx5/1XPncd47JD38i8sOfnpTv/3hS/v0bw3L551PykY/H5IqvjMr3fizys/8T+b9fi/zyVyI/+h/R607K9340Kd+7clK+6/McP3z3v0Xe8Vf/IHv0uccVr3/Ry+T7V4rvtbNwpWIO9PjulSflP74bkEte9rdyRJ+5nee++lL5/g+G9fzkrOtLgjpQF79zPvie4qOfmpDXvR5aQQP/6wrhu9yjMLRWQPcf/lTb4H9FrvyZyDe/Oyqf/0pGPv6pmHzisrh87ktp+Y9vDst3vj8mX//OmPzJiyblW98flf/89rB86T+y8vkvp+Wz2raf/HRCPvGpuHzoIxFt56hc9tmkfPqKlHzp37Pmum/816h863va9vrM/9b25pnwxw9+Ao84fGLaXj/d9PjvX4j84J9ukKGnP0N63/FR+fEPMnp8DnSuFFPt8p3vjch3vkvbes4vNn44rs8dyuNR2g06QTMATT//ZW2rT8bkY5+MyhVfHNS2GpJvf39c79c25vofTdFW6c79X/uRyNZP3Conn/c8aT//c/If2hfdz4WfvvWdXN4xgwr5tFJ8X8u+4gvj8gfPPSl/85pJ+bu/n5B/+McJ+evXTMiLXyzye88+Kh+uerqTGjwPqg2NqMo36/g8YDQVNYlqv/pNufiv/lme8fTXyw03XG+cvH7Xg1yHmsLbZx/HV9YTzwpb+u+s6ZPdB/tNdHNLYFD6B4d1pB8zZiemCbAm1cGGennLG98o//C618nuI4fNOW/ZfsiGlR4POSOU3/liYPRYt2mjvO6v/l7e/pZ/lcO1J8wxzjH64Ljmj1AEaOS9343hA/o+x5zrgH0vYN8VU57f0Cin2LJvXL7xbR2xh0clrNrbQHpY+pOqAUUyat6kpEG1qqMtUUM/Jk12H+6XzXu6VTvrln3HAsb0YdKlsZf1uGjxw5LQMocP+9cR8HwmcC6+lJALlkkNmzJ2H+qX7ft7VZMIqxmcMktvwtpWZE6x78BnKTpYDD+i14dmH0+Pjkj13Q/JDWoNhGPRaXfKYmF4g9YjoGb/hJqEQ87kwVJi8KRaOiODMnL3SckqU/ldUy7gEdqatt+qPFDTGJPG+j7pTjqTZwnVhGkfy2/RhLNWdBrIjoe1DfVk3vEFAvyh1rd89Wuj8uGPjMob/kHkr/5a5C8Vf/NakSu+pBbhCZHrrr569uRBdp/iaP6xuQJhEM0NS++HP2tScFOxYy3kY2Nu0/8ei5wyTKbT/5wbVuDYToHazWwo/ocTHQnj+9t5cEDN7QHp6ovIQGpoWjhwXym1fGiFXhP0P1cOKB8fSGrMyY/Pe6/5n0vlFc9/2pQvsUp+749fJZ/7+S4TthLOkBpp2MSkMXt2qDEqNUfDsuv6Ptm6qdcJIzkcMD5M0tMQC0ckP6EkBJiyAoClYMy6sWFyOJkyJj4ChPd1CxBLA0uHUrQAw7eoqj/pf24a+LqSs31slM+zeC51wJx1MoNkzL4YvCuzvexKTggNm/xwj7etMtoe8Ifemv8MnjvlY+M9TZgIPrhQxNyfd+0CIJ1Qet7jfD9lcWyigu3EoGRqTspgqXapELatAG4CQpJwT7DWuqYhKn39IWeyozkmnbRV7UkZ3pXfVgsByqLf/Pu3RfuLyIc/OiZ33DuqssRREFAM3O2b2+mdFdUrhm92/Z4jqIjZaPjTX83baBhmKydAN609PLdWP/Uiv/NzQerkpJDdY/CkM8WO8EAYMBWPNoEAJNKeTmYWXWtDDqvdPrHS6YT4KGhcZrEAvp+u6JCzlIgZSC2LmUeb/hknL/7LHTUD0tSmguhYUE60HJJvf+CL8r0HGiSqqkRP+2p5z788V55kBNzz5JM31hjHOM+joSyDZFv12Bb/9yoGO3ngd24uyB5SqObody4PKmDmO3nAe/P+0II8YvjYyHO341Cf1C2LS8tKFfwDg2amF38c13NtXIULg4gtBz4j0NckvOwLGB50P2c+yK3ROnY730+ZYJscl0T1oA6+p25W1LbV6B2qyKTG1XpKm4EXocfOcvhGmaVn4pFVMNxDWyEwudddbjFwD9cXmxVlsMlt9gi2bLVW8Ej+hZWAh8bIh/bhyyW8Yet0YKRFuYItW+N0Ir9zPMMPftdCbByKoaEBueOqH8o3/2eTNKoZRuwaGUjZJGXDjk7jiEYLOqSjEI3AcqLaAe08N6uw2huXXapFrN3aKWs2d5h7iRlj416c3rbz2ZGN38DWi+/uWVHbOLZ+4a3fkac+qUr+4K/PlzVBJ2Le/Q4MNgi1TJfneBlYaME2dJt+an38zuVhAQRbIaSVaEOrlR5KbOhNuBCTGWjpOMs7eiNy8AQmdY/RaMlIzIBkNTgEHGm2ob1f+eUirYPe0AMzv0+VYEsx6dakA/bYqQ33yKj2lNvqfx20pq3oLwxCNrgdrZwY0o27uk0kBbO/kZFJGRzvlb0rV8uX3/5m+cCvq03bcX9gzy/lta//O/nQ/25Tq8EJ2/I+L1ur2OEWbOPaUA9qRbQm7gvLAZWPpnPS86kvm23sEGgcc78UwKd2ouPkdGpw4nSYeUV7IpNIu2o/LX1pabo+KcfqY3KkNWpmwZjhMdPc+vLkiDIZas1sLgkiEUSkRlKmVjWZDLcQLxGqlu9/+s/lOU9zzL2qqmfL+T/aOl0X6ub3LhbpiNOBBrXS08cUvA/CCWLzHGaRqds+rYtZ3tTIrl9aH30XAnt5FvsAECzrfaYMN8onXv578qoLfyOqlPlqE2kl5tBdzPTMPlcKCynYMseVbjrw+Z2bhUUUbKYDbfI/x3Pd4R6W9xgsCNpmD8ravmFZeeMj8pN3fkz2VbdKXW/WDFSBqdUCthOV4g/jKtG62N+nSrClj6hgC6tgk1Mn2ODNoTv1mB70XlcubFtBf1YZ7V/+bXkBq4t00P+Xby2Tn/30FqkODcmy73xBvnn7YcmopmrbalrAaV/NqYXFoDMdx5Zt0kLVPnY3KMGBjgnmbDNmgl5HJ8xu653RrHTGhuXo0V5pfs+nZf/VD8juExGTxWHd1g6zHIhpeRNt3caC6qSaDRk1+7JmX9FBFQpM65tYNh1RARIdiYuNTGUtbB0tbP1KAfs7XXuz/OUfI9ieJedfuaXsMnIq9TNaF79zhUC5ts68C4Ib4ReIJqShI2rWiKJJHG6Jy86HfiBv/ruPyYZ+pyFppOQ4WULy68comGnOf065WDDBpqNQbpXWK+Rzzg+LKNiG7td6aE/iu21LNxhE2F/CXk87WDeC5WF8e3Hl6Y13rparL/6MBGIJEyQe1bZi9QYuCfZ/2LS7xwykxG3ifuB+EzahBQ9hhuoIxzN5zikRbGjzN2k/Gju1AbpYE8ZVoozsvW6uQAna8ssPyDNVKXnGi/9OHlRFA2WIc4lcVsKDqsQMjpqkDig6G3d1Sc26kPTerMfHRqQKbePgibAcuTssh7dHjMaBv4hF1eS4woeB5oEAgkkY/RAYBNgGPv0liT6yOk8AeSvoBp23lCk6fKt+LpBvzQiY4yrYXlCZYINxc+v0M+l/vhLwLGuK8n0yekA+8U9Wi8zHS973f7KlLmU2mj6gA0JTc0ri1zqdFLqXo0m4sVCCDT9SbqN+L8cMBUUEm6U/bcP7AKsB8458ol0xIMB78KBJBsDkwm41M28Myf4mpQ80Ug3ZaPLwsNLrYIOaM51hqWt1AsLNvgyqxVMOgzEDKc+2z+G5Rjsgm4iaqAPejZ8Vtp7cg9nbnRyS9jVqVdyTlJqmqTxjWpfW7qj0R5NG8Nm24l53WQuN3D59xkEVbEOnULDpgIBQy7q017kCufJ/K/dJmzZKf91KWfbwA3LFa5+rfeN35JVnXWmSGWz91dVyT+ek5EZm+9iG1eLMaZ+lbR2NLaY/9KD3Qi+4NpoYdEzOOWw0XEqwZRu0YqopeY/PFXMVbMbcoSP7nKsUhmbTPja0BTJDqPngA7QGWz+AtpZu1A6lnYXlYqRvwQRHK2ZFR71qFqwdZVUIWgjPsx2K+ysVbO5nA8oBw7u17aa0RgY3tB80HwQQ/i3qZhfxMzOLhtM3EDFZFnAXMJNLcgDysrHfBP5N3At1HQm93
Các bài tập cùng chuyên đề
Miền nghiệm của hệ bất phương trình \(\left\{ \begin{array}{l}x + 2(y + 1) - 4y \le 2(x + 1) - 5y\\x + y \ge 0\end{array} \right.\) không chứa điểm có tọa độ:
Phần không gạch chéo (không kể bờ d) trong hình dưới đây biểu diễn miền nghiệm của bất phương trình nào?
Biểu diễn miền nghiệm của hệ bất phương trình bậc nhất hai ẩn sau trên mặt phẳng tọa độ: \(\left\{ \begin{array}{l}x \ge 0\\y > 0\\x + y \le 100\\2x + y < 120\end{array} \right.\)
Cho đường thẳng d: x+y=150 trên mặt phẳng tọa độ Oxy. Đường thẳng này cắt hai trục tọa độ Ox và Oy tại hai điểm A và B.
a) Xác định miền nghiệm \({D_1},{D_2},{D_3}\) của các bất phương trình tương ứng \(x \ge 0;y \ge 0\) và \(x + y \le 150\).
b) Miền tam giác OAB (H.2.5) có phải là giao điểm của các miền \({D_1},{D_2}\) và \({D_3}\) hay không?
c) Lấy một điểm trong tam giác OAB (chẳng hạn điểm (1;2)) hoặc một điểm trên cạnh nào đó của tam giác OAB (chẳng hạn điểm (1;149)) và kiểm tra xem tọa độ của các điểm đó có phải là nghiệm của hệ bất phương trình sau hay không:
\(\left\{ \begin{array}{l}x \ge 0\\y \ge 0\\x + y \le 150\end{array} \right.\)
b) \(\left\{ \begin{array}{l}x \ge 0\\y \ge 0\\2x + y \le 4\end{array} \right.\)
a) \(\left\{ \begin{array}{l}y - x < - 1\\x > 0\\y < 0\end{array} \right.\)
Cho hệ bất phương trình \(\left\{ \begin{array}{l}x - y < - 3\\2y \ge - 4\end{array} \right.\). Điểm nào sau đây thuộc miền nghiệm của hệ đã cho?
A. (0;0)
B. (-2;1)
C. (3;-1)
D. (-3;1)
Biểu diễn miền nghiệm của hệ bất phương trình \(\left\{ \begin{array}{l}x + y < 1\\2x - y \ge 3\end{array} \right.\) trên mặt phẳng tọa độ
Biểu diễn miền nghiệm của hệ bất phương trình \(\left\{ \begin{array}{l}y - 2x \le 2\\y \le 4\\x \le 5\\x + y \ge - 1\end{array} \right.\) trên mặt phẳng tọa độ.
Từ đó tìm giá trị lớn nhất và giá trị nhỏ nhất của biểu thức \(F\left( {x;y} \right) = - x - y\) với \(\left( {x;y} \right)\) thỏa mãn hệ trên.
Biểu diễn miền nghiệm của hệ bất phương trình sau: \(\left\{ \begin{array}{l}3x - y > - 3\\ - 2x + 3y < 6\\2x + y > - 4\end{array} \right.\)
Cho hệ bất phương trình sau: \(\left\{ \begin{array}{l}x - 2y \ge - 2\\7x - 4y \le 16\\2x + y \ge - 4\end{array} \right.\)
a) Trong cùng mặt phẳng toạ độ Oxy, biểu diễn miền nghiệm của mỗi bất phương trình
trong hệ bất phương trình bằng cách gạch bỏ phần không thuộc miền nghiệm của nó.
b) Tìm miền nghiệm của hệ bất phương trình đã cho.
Biểu diễn miền nghiệm của hệ bất phương trình:
a) \(\left\{ \begin{array}{l}x + 2y < - 4\\y \ge x + 5\end{array} \right.\)
b) \(\left\{ \begin{array}{l}4x - 2y > 8\\x \ge 0\\y \le 0\end{array} \right.\)
Biểu diễn miền nghiệm của hệ bất phương trình:
a) \(\left\{ \begin{array}{l}2x - 3y < 6\\2x + y < 2\end{array} \right.\)
b) \(\left\{ \begin{array}{l}4x + 10y \le 20\\x - y \le 4\\x \ge - 2\end{array} \right.\)
c) \(\left\{ \begin{array}{l}x - 2y \le 5\\x + y \ge 2\\x \ge 0\\y \le 3\end{array} \right.\)
Miền không bị gạch ở mỗi Hình 12a, 12b là miền nghiệm của hệ bất phương trình nào cho ở dưới đây?
a) \(\left\{ \begin{array}{l}x + y \le 2\\x \ge - 3\\y \ge - 1\end{array} \right.\)
b) \(\left\{ \begin{array}{l}y \le x\\x \le 0\\y \ge - 3\end{array} \right.\)
c) \(\left\{ \begin{array}{l}y \ge - x + 1\\x \le 2\\y \le 1\end{array} \right.\)
Biểu diễn miền nghiệm của hệ bất phương trình: \(\left\{ \begin{array}{l}x + y \le 8\\2x + 3y \le 18\\x \ge 0\\y \ge 0\end{array} \right.\)
Cho hệ bất phương trình: \(\left\{ \begin{array}{l}x + y - 3 \le 0\\ - 2x + y + 3 \ge 0\end{array} \right.\)
Miền nào trong Hình 1 biểu diễn phần giao các miền nghiệm của hai bất phương trình trong hệ đã cho?
Biểu diễn miền nghiệm của mỗi hệ bất phương trình sau:
a) \(\left\{ \begin{array}{l}x + y - 3 \ge 0\\x \ge 0\\y \ge 0\end{array} \right.\)
b) \(\left\{ \begin{array}{l}x - 2y < 0\\x + 3y > - 2\\y - x < 3\end{array} \right.\)
c) \(\left\{ \begin{array}{l}x \ge 1\\x \le 4\\x + y - 5 \le 0\\y \ge 0\end{array} \right.\)
Biểu diễn miền nghiệm của hệ bất phương trình sau trên mặt phẳng tọa độ Oxy:
\(\left\{ \begin{array}{l}x - 2y > 0\\x + 3y < 3\end{array} \right.\)
Cho hệ phương trình \(\left\{ {\begin{array}{*{20}{c}}{x + 3y - 2 \ge 0}\\{2x + y + 1 \le 0}\end{array}} \right.\). Trong các điểm sau, điểm nào thuộc miền nghiệm của hệ bất phương trình đã cho?
Phần không tô đậm (không kể biên) trong hình vẽ sau biểu diễn miền nghiệm của hệ bất phương trình nào trong các hệ bất phương trình cho dưới đây?
Miền nghiệm của hệ bất phương trình \(\left\{ {\begin{array}{*{20}{c}}{3x + y \ge 9}\\{x \ge y - 3}\\{2y \ge 8 - x}\\{y \le 6}\end{array}} \right.\) chứa điểm nào trong các điểm sau đây?
Phần không tô đậm (không kể biên) trong hình vẽ sau biểu diễn miền nghiệm của hệ bất phương trình nào trong các hệ bất phương trình cho dưới đây?
Miền nghiệm của hệ bất phương trình \(\left\{ {\begin{array}{*{20}{c}}{2x - 5y - 1 > 0}\\{2x + y + 5 > 0}\\{x + y + 1 < 0}\end{array}} \right.\) chứa điểm nào trong các điểm sau đây?
Miền tam giác (kể cả ba cạnh AB, BC, CA) trong hình vẽ sau biểu diễn miền nghiệm của hệ bất phương trình nào trong các hệ bất phương trình cho dưới đây?
Biểu diễn miền nghiệm của các hệ bất phương trình sau trên mặt phẳng tọa độ:
a) \(\left\{ {\begin{array}{*{20}{c}}{x \ge - 1}\\{y \ge 0}\\{x + y \le 4}\end{array}} \right.\)
b) \(\left\{ {\begin{array}{*{20}{c}}{x > 0}\\{y > 0}\\{x - y - 4 < 0}\end{array}} \right.\)
c) \(\left\{ {\begin{array}{*{20}{c}}{y \le 3}\\{x \le 3}\\{x \ge - 1}\\{y \ge - 2}\end{array}} \right.\)
Điểm nào sau đây thuộc miền nghiệm của bất phương trình \(2x + 5y \le 10?\)
A. \(\left( {5;2} \right).\)
B. \(\left( { - 1;4} \right).\)
C. \(\left( {2;1} \right).\)
D. \(\left( { - 5;6} \right).\)
Cặp số nào dưới đây là nghiệm của hệ bất phương trình \(\left\{ {\begin{array}{*{20}{c}}{x + y \le 2}\\{x - 2y \ge 4}\\{x > 0}\end{array}\,\,?} \right.\)
A. \(\left( { - 1;2} \right).\)
B. \(\left( { - 2; - 4} \right).\)
C. \(\left( {0;1} \right).\)
D. \(\left( {2;4} \right).\)
Điểm nào dưới đây thuộc miền nghiệm của hệ bất phương trình \(\left\{ {\begin{array}{*{20}{c}}{ - x + y \le 2}\\{x - 2y \ge 1}\\{y \le 0}\end{array}\,\,?} \right.\)
A. \(\left( { - 3;2} \right).\)
B. \(\left( {0;1} \right).\)
C. \(\left( {4; - 1} \right).\)
D. \(\left( { - 2;2} \right).\)
Miền nghiệm của hệ bất phương trình nào dưới đây là miền tam giác \(ABC\) (miền không bị gạch)?
A. \(\left\{ {\begin{array}{*{20}{c}}{x + y \le 1}\\{x - y \ge 1}\\{x \ge 0}\end{array}.} \right.\)
B. \(\left\{ {\begin{array}{*{20}{c}}{x + y \le 1}\\{x - y \le 1}\\{x \ge 0}\end{array}} \right..\)
C. \(\left\{ {\begin{array}{*{20}{c}}{x - y \ge - 1}\\{x + y \ge - 1}\\{x \ge 0}\end{array}.} \right.\)
D. \(\left\{ {\begin{array}{*{20}{c}}{x - y \ge - 1}\\{x + y \ge - 1}\\{y \ge 0}\end{array}.} \right.\)
Miền nghiệm của hệ bất phương trình \(\left\{ {\begin{array}{*{20}{c}}{x \ge - 1}\\{x + y \le 0}\\{y \ge 0}\end{array}} \right.\) là:
A. Một nửa mặt phẳng.
B. Miền tam giác.
C. Miền tứ giác.
D. Miền ngũ giác.