Maths-
General
Easy
Question
The value of
- 4
- 2
- -2
- -4
Hint:
To find the value of the given function we will first simplify the function using trigonometric identities then at last we will put the value of the required angle to get the answer.
The correct answer is: -4
Related Questions to study
Maths-
For any real , the maximum value of
is
For any real , the maximum value of
is
Maths-General
chemistry-
Identify A and B
Identify A and B
chemistry-General
Maths-
If
then sin (A-B) =
If
then sin (A-B) =
Maths-General
chemistry-
Observer the following reactions and predict the nature of A and B
![](data:image/png;base64,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)
Observer the following reactions and predict the nature of A and B
![](data:image/png;base64,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)
chemistry-General
chemistry-
on ozonolysis gives
on ozonolysis gives
chemistry-General
chemistry-
Which of the following reactions will yield 2, 2-dibromopropane?
Which of the following reactions will yield 2, 2-dibromopropane?
chemistry-General
Maths-
If
then
is equal to
If
then
is equal to
Maths-General
Maths-
If
where
being an acute angle then
is equal to
If
where
being an acute angle then
is equal to
Maths-General
maths-
Let A,B,C be three angles such that
and
. Then, all possible values of P such that A,B,C are the angles of a triangle is
Let A,B,C be three angles such that
and
. Then, all possible values of P such that A,B,C are the angles of a triangle is
maths-General
chemistry-
is an example for
is an example for
chemistry-General
Maths-
If
where
then
=
If
where
then
=
Maths-General
chemistry-
What is the hybridization state of benzyl carbonium ion
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)
What is the hybridization state of benzyl carbonium ion
![](data:image/png;base64,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)
chemistry-General
maths-
An integral value of a for which there is a solution of the equation
is ![left parenthesis sin space 2 x not equal to 0 right parenthesis](data:image/png;base64,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)
An integral value of a for which there is a solution of the equation
is ![left parenthesis sin space 2 x not equal to 0 right parenthesis](data:image/png;base64,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)
maths-General
Maths-
If
where x and y
s a root of the equation
If
where x and y
s a root of the equation
Maths-General
biology
The direction of the water flow in given cells X,Y
Z can be presented as :
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQoAAABcCAYAAACWa/uXAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAFQ1SURBVHhe7d2Hl1ZVtjb6+xfd8X2jzzl9bp9zuu1ge9S2zVkEDIiACVExowiKCmJAQBEECQICCgaQLIpiQBFFATFhTmCO9LrzN182vr5dFFVQVRR2zTH2oKh6w95rzfXMZ4Y11/9T9gH54fvvyzubN5fHVywvE+66s1x84YBy8onHlROPPapccN455e7xd5XFixaWuQ/cX64dck05rWf3csIxR5Wz+55Zbh5xY5n/yENlw4b15auvvtz+if+6snXLlvLKunXl4YfmldtuGVnOP/fs0v2k48upPbqVwYOuKPdNv7csXriwTJ40sVx0/nkxxkeXk084rlw68KIy6e4J5cknVpbNb79dfvjhh+2f+K8p3337bXn7rTdDJx8r48fRyQtK9xNPKKd0O7EMuvzScu/UKWXhgvll+rSpZfBVg2J8u8c4n1DOP+esMuqWm8vCRxeUTa9tLF9++cX2T+zc0qmB4ptvvinvv/9eeeH51eX+2bPLTTdeXy6+4Pxy3tn9ymUXX1Ruvfmm8uDcB8qaF14ob77xRoLBsqVLysS7x5chVw8qF/Q/twwIIBl6zdVl8j0Ty8rHV5S333yzfPnFl+Uf//jH9m/59cu2n7aVrVu3hmK+VpYvW1omBrBec/WV5aIB55WBAbrXXzskQGB8WbZkcYKIsVz74pocW0ptrAGKxXDTjTeW2ffdl2P+8ccflW9jwfwrCZ187733ynPPPFNmzZxebhp+Q7nkogvLhQGqgy6/rIwbOyaA9tGy7uWXyhuvv15efmltWbJ4URqzodcMDsN2brkw9PLa0MmpkyfVdPKtt8KIfRU6uW37t3Q+6XRAsS0W8LcAIibj2ZiM2ffNLLeMHFEGXjCg9D2jVxkQCgswHn5wXln/6ivlqy8N8M+LnqX74IP3cwLuumNsWMILS7/evUr/QPJrY6KmTr6nrFwRkxNW8Zuvvy7btnXeydlT+enHHwMUv0iFfQxATAAQg8p5Z/XNMbn8koHB0MaVVU89mWP2Y7y+fiy/jvF5bePG8uC8uWXEDcPiff3KmaefForev9w68qYyL4DkhdWry4cfflC+D9b3awVfz/Xtt9sB4tlnwmjNKiOH35iM66w+vVM3b7/tlrIoWAJDVBuL7W8O+eGHH0Of3y0rHnusjL399jB2dPm01Mnrh15T7p0ypTy1cmV5KxgK1tsZdbJTAcV3McDvv/9+MogH7scgbojBPLv0Pu2Ucm6/vmX49cPKvAceKK++si4tJJfkx5gEVs2i/zH+X8k333ydC4SVHDv69pzMXqf0KGedeUa5dvDVZca995Znnn66vLMdMH5VElr6VVDaN15/ozy58okyLRRxyNVXlX7x7Gf2Oi0s4AXlzrGjy7JlS1I5WcmffvopgOKn/NlVKatF8tmnnybDmDPrvjJs6JCYiz7ljFNPScZ2y03DA7QfDAv6cvn4k4/jM35dLgkd+/jDD8uLa14oc++fEwBxQ7KHPr1OT7f35ptGlAXzH0lA/SJA2Tgau9TJb76N//+86L/68suyaeNryTjGjLo1dPL80rf36eXcAGDjOv3eqQHaT6Vrh2F0JukUQMHfQ2PXxGRQxuHXXxcuw7mBuqenFcMEZobvjO5+8vEnaek+DeV9fdOmsjoQ/vHHlsf1WHkmBvnVoM7YiNds2/aP8t133yXlfuShh9IKcEX6xGLxudddc02Zes895el4H4vKauzLNpGCfv755+WtN98oT4TvPGni3eWa8I9ZrrP79imXhgsxetRtZVEo6qZNr5UtW7aEcn+e4PzqK6+UZ1atyrF8ItjY6ueey/H99JNPcvH/Iz57y2efledXPxd+95T43CvTmvYJy0jhxTuwPIDxWbxuX49hYAUfffRReWnti+mC3RqsFkD0DSZGh0aE0Zo7Z064Fi/l8zJMxodxMkZPBGtd+cTj+TMQwbosfjqJMfvdIw8/FON2c40tJ+vtl27ytCmTy5Px3rfffiv0GGDsfa3ca0DBUiVax2SseeH58lAo2ahbbykDB/QPy989rF/vMjQs/6wZ08uLARAm48tA5M2bN5cnn1xZZoVLIogkTjHihuuTfdwS6H7HmNHBFqalL75xw4btk7MtraTJ8T1ee27Qb1bxnO1M5YE5sxN03nv33QSXfUk8H2Dk6z4ei3zqlHvCQl1TzguAOCPYGAUHEOI3NXr7VYIEcAAa3DGsCztgMV1iE/zqeQ/MSbr9QYCJ+WIxP/v0k/zdlHsmlasHXZFWEfhedvHAcsfo0WXhggXllfhsc+b1+5J8/8P3aYReDsB75KEHy+jbb8sYzdkBiucE2F47ZHCZNXNGeWXdy+XzBNovypvhbjwVOolxTBw/vtweejxyxI3BNobHuN+a48gAPrZ8WRoteszNM2fAeP7DD5cR4U6LA/U+/dT89/rrhtYYxqony7vvvpPgsjddu70CFBTuo6Bz6wKNTQZ/94L+58UgnRIA0Sus1RUZLV797LOJxBYuGrcxFrrMxrBrh+Yi6BeTx1pecuGAjEWgwjIdQODqKy8vk8OivvD8c+XrOhrHQr60dm1O6o0BEGcHjT69Z/f8nBuHXZv+59o1axLAWJXOLl+HJZMRElybOX1aWiTulbG8cMB55ZYYW2xqQ4AmBbVwt27Zmq8XsxCn4JJgB4JsFsUlMZZcPmPpd4DDPL3x+qYdC9+cvPPO5lggT5Z7Jk4ogy6/JBkg8BX0BDxLw+3bFAsBy6lcmc4qPwJA4PlqDTzHjh6V2TVu79l9e5frAiCwWkwLaHr+Lz//IgFjzqxZGcPBrPqffdaOcXQBabo1cMD55bpwL7iBYm/AqBI/V8HjkQEuGAuANyfXDbkmgQkzEdjHeveGdChQoKP8XXTOQsUATIYgJWW1uCeF0kHnjz76cPu7SiraqqDF4+68owy64vKMMvO5sQkpOwvkvhn3lnviZxTYYjFJV152SVjGkWXp4kW/+Dyy9fOtyWRycQ2+Ki2GGIZJklKde//9CRiffPxxAlunkrAsrBFL8/SqpxJUb7ju2gDKc3IcPcNN4WZRPFkMAd98W9DezZvfLvMfeTgtnjG6+KILcrwE46bcMzHGcXqZEQtifIz1jeECGkOvkxmR8sPu6v1nwPHuO+8kg7vrzlrwmFXsE6Bx5WWXxu/uyPF/PSwp69vZAOPHn35Ml2HD+vVl4aOPBiO6vVxx6SW5SAGlVKeM0KoARO5xJR+GoVu2ZEkZE0xt8JVXlMHhit0Qhsb77506ORmqixuB5WKxGPJVob9cYAFiDLCeJXy+9fPy0ktrM6t047DrMi4HMDAMrBdgPBtMrgYYHZtt6hCgSCu2dUtZv/7VDOSMHjWqXHR+/3Jqj5PT8g264rLM2wsumoDvv/+Z+sv7i8rz5S4IdL4yJm7ihPEZpHvjjdd3uCTy0V7Lyj333LNlWij11TGBZ/c5swwJIJC3xhLqpQZcn4TyP19mTJ2aEy7Yd8apPctFYQHQdYuK1fg0XtcZaDSWw6Kh/nNm35eUFTD0Pq1GWWWIHnn4wbIxFN/CRHGJe5f2fGDOrHAXLg9G1i9p9MwAhheef7588N575YsAZFkS7/skmNfGDesztYcdSP1dFRca/VwwPWNeCWXno78TgCHGkcHjGL9ep/TMoN9V2+eX3/5W0HSR/b1JownA8pyvB0taKqUe7OqqMFTY2JkBcsCCERJc/DDG+/s6d/Szzz7NcbkhFrOAJkNjHJ8N/d0ci39L/P3zrVvzYhjfDXd2TRidecGGAS7WcWWMpayRuawX81W5PtgtRkGH6SR2wgA8EEaWkQNcHRULalegoAxqFixoEfY7x44JN+GC0ivoKcW+NJiBOIPgmUjvd9/+MjbAZXg6QILyq53gD1scfvfSiy8mIn/b8B7qxw/nJ99+262Zt7b4gcaShYuSnTSKyWEV0WgKjdnwudFoKTA+J4ATsbaYftoLVlFA8ZNPPs5gIYVjYbhfgPb8cBNYIIqFrdXTWmJRvPfeu+X+oMgYnAAkC4hKC7gBkKYUzu82bNwQzGRuAjWw4Kr4GRWWcWoUbAPALA5gHh0shTvItevXOxhjzJ+4BuA33nurBgNQ0ZEnV64Mt+nuND6CiVwnDAozWr50WYJa4z3KtjFoGMI54eICW/PB0gtsrn9lXXl902vbr00xtq9ngJORfPaZp/O1I7fHyAaHni0OFsMdbhTAzj33HkVwsiLnnBVucrBebqH4B4MgzmS+29uItQtQAAipIAMtd8ydgNZocfqwARDj7ojJCOrGv65PIVVSy1ZsTHBBYwXKsAID/+zTq9Kyjb19VFmyaGGylUoAjtoL9E5wVC2FCH3v03omOrOGO1NQC+rDDz7IGozx4+4ol8d39kGjAzTQaKC2PKzPa3FfSaObuO+2FiC2Zctn5ZVXBNfmZXBMDMCYoMbXDb2mzA5KKiOEUTUlrJqsELA8rUf3tIBcP1kK8QXBTAzli7oqQWMhcDxv3gMJuNgVN0L1Zt9Y9Mbinc3v7NSV+P67b3P+BI+rbBOX5Jx+Z2aglbtkEXwQNLojgsfJer7+JgBqc3kq2OiUyZNy8YkfGMuLBvTPsV22dHEaoB++/2fgxOYA8V133JEAyGVTESxIzjWZOnlyBoTFhbjAAsLib0D9tptHZgDeOHvtqFtvTuN3/bVD09Vu6vuI+94S8/f8c8/lPFlHfQLUMDWxJGtAelYMihFsL8BoU6DwUCZdevKZWMx82iFXX51Bx9OTzvcvY+LBVgQ9NWH8bH5zUwJNF8yfn3QL7ZoRigXN0bqFj/p9/3L8MUcGRbw4BxowsfaPzn84lLFPOfG4Y9LKKrFdEO7DJRcNCH+vZyo7itycfPP1V+nCPBHWVsm4uoMzggGxOhbbPXffnX+jUPkM8dxtLRagibfY1IKMGzs6GFgNIM7anhHCCATBUOGdBV59zvpXX03Adf9KsRctXFDWrXsps0NKilkpCi2QVwlXiwL2D3dGCbco/JLFC9PnVnRlLpcsWvQLF6RRKC0Ql33KuEgAhrnBMFhUbtPcB+aUFwLkzHd70WiGQbHU6nBJZR9uvO7a9P8BFz0aHUC4OMYE85WObAr8/I7rCmCB3iUDLyiPLpifqWWf/WjoqjgR929AgIjsXf8AglO7dysH/Hm/cuD+fw42dnGyKQwCAzGHmNaEu8Zltm1noEu4Pr7rmQBXIMedOzPuHzPPwrkwnNw+7MVaaGudbDOgkFZijRWmZGFO+GJSnPzUAf3PKbcGolIWtHRXBU4GTFGV9/QKkGDFBNGI+MW6dS+XO8bcXnqefGI55ohDc4KeiwE0CdcNHVy6nXBsuTB8ZEE0fhxqjYGYNAr+3LNPt2ggv/n2m6SPWSATAAfBLRILFUuZFhbEd2JFAKOt5KtQ1jfffKM8FhM/PoAKHcZq+vXm71+e7pHvBcjNKRcRO1i+bNmO4h4LncKJ6QBYFu34o48sPbqdlK4LhZQBsKiwlaMO+3taL/4098X3JjOJxc5iUvCWCFa0drtu3BCgUyvaCt2IRSe9jZIre7aI2gowGK0PP6yl37msYgoqe/vG81zY/7wELoxHhe8Xn2/d/q6m5btgSF6HXZ3S/cRy0/DrczyMP7DkAixdvDjHyWfOf/ihMmnC+Ixh/OG//jOvq668LDN9qo+lp7lhlS5hGeqJdiU/xDrD9BhbAWfAf2Y8DwPCNRR4xZjoZFsWEu4xULBkAl+ZcozJVphyUSgltEaNTc6Dc+8vG8PX/fqblqV20G1KrOiqdyxM0d76QKTJgZxoc49uJ5QTjz0mo/jq7rEXvjAm8eN2hROge/KJJzKAyqd/+MG5rRpEKSnWhusj08IKWXQDzj0nnm9oWmbFShYN67U7aO49YjJJjWMxqoUYEtSWBcYEWDC+s4AgQN62bdcU0zhJL8tksOKyFxZNtRDFE/jbgwddWY46/NAEAH8HUpTYeyjgrBkzdsQ9uJPTpk5OFgJ0xUxaLv9IliSbNDPGTObqnNARltGek9Hh3ihCeiU+UyaiCsS2VjwffVHAN/eBB5L212IztVL+4XQyfr9ORqgug9OcuG8BdO6Kub932pRmAU3dzpOPP16GBAicdPwx6aqIKQi+E3oCWIZcPSjvjbss+NlS8d3AwGdIDigvwHqV598Q4K/yWEZMIBVg/mMPi7Z2GyhU6nkwKLvoUSWpowIgBiQD2OE7B4rbFIMat2bSgc/SJYuCAZxczu7TJ3P+P/34y4WB1goQsU5HHnpIOfGYo0qPk05IRXho3tyMIVTiXgWX1ElgBFMmTUpr3Br5KRamGMD69euTZvJBa0B2an6n4JZ0mIVmcbb2eT+IxV+jxjMzLekzfbbsi5y+9KNKvZYqNmF9VGDaqNSz24lpuQVE64U7J40KkE7rcXJa2dkzZyZocDlG33ZbeSsYWSWsJ2sGQASlV4UytlawQmCnJgHICqyeecZpCRhS3+PGjk02yPe3QFsKvPa2iMesD+v+6COPpEsxcACAUCbdN90njEYg3IJtDXMxbhixhc3dXRQsc2dic9eG0E2p01O7n1TOO7tvuliYXBVDMOeyTWIMWBXXsj792hIxLtxt7ik36NaRI7OGwzjSnyrA/aK6IGn+0IfdlVYDhZtjodF5gT15Y9kL9FTumXWaFtZQoKq1D14JRRKH4EKw2ptCYZoSroHJUxTzP//5H+Xgv/4lFyy20Sii7BQHiAnESYvtrlBeEW47WkfcOCwnul9YKxkWfve8YFDcI0rbXA1GZfkEyB6YowDsuvRxRd8BRKY6FUuF0rFQrRV0+eWg84K6XAVxiqZiGQLE2BmQP+6oI8q5ffsEcPRNKotx1AfI7AcBhhbeKSd3S+a2u6KcGWCvDLZ39/hxZdBll6bPLljKn8+Ad7hNGM6XzWyWylhIgPiGV19N1sdNVM8h1ek5xAKkywUSxUJaK3TeIp8dIMMNpmNicE0J651jHm7ZKQESxnRKuIpqH+oF21WlOTVcQSDNiDW+pjWiFP/ltS+FCzcnDYJMGEPD1cK2Gc8srw+drJ/PlkqLgcIk8cMF8KQzRWChqxwvBENr5aINIFdkZ5PaEgEUduIBCpRNnKApkeZSlmxx/dd//KYc8Kf9kma6x0ZB00YHwlMcfr8qwz0RysMa86uh9rAh1+SEs17GAoA+Ov+RnBz+ucmp6F8tk7GlvPLKuqx4HHP7bRkw9V6fgSXxdQUB9yT2gd4q4AEUCncAZFNWVHmwoKi40iEHHlAOPuAvucPRonOf9eI5ZFhE7MV8nnh894GiEvdkkdArwWasQi0DUJdZmGLHrzRuAAZGRbeMv3vJWojQj+VLF+fzZS1E395htM5MVjQ5XCj1DRhBS9y1psR3iUfMnHFvurW19PDq7X/9Wb7//oecU/cBmF1iY4xqo2yLe+fGYVR28spEKaDbEzEun3++NVk8d91WdjEQegU47xwzOtcVvaK7rQGMXQKFD+PP87+5AB7MDZhE9QmXDbwoLZU6dqnJ3bF8jQIo5Jc1VGGtVc01inSSCRAw6nnySQESfyj77/f79HmXhtJ8G9a0Xt7Z/Ha6C1iPyZNHbwtJVhBWSvpKdajGOQJ1WAGmZZem+8Fg0D/ZBO4AV2LcHWNqbCxod5YJh7s2c+b0tNgqQlszkU0J60ZxAaSYAvD69pumA2bA/f5wnWSGDjnwr+XmEcMzLtFI+j3v8+EiVa6KBdxWIlqP3ah4vHPMmKwaFcQ1pxbS9GnTkuG8/fbmLFQSN7J5itHKPSdn9ip9ep9errj8ktwQJ6YgwyUtuqfi+wREuUkjglE8veqXjAJTw2QVaYmrCbRLt2INQKFRGAsuw7S4d2NpI2Rr3eGdCRcDA8KgpgeTsjHQ2IitXHHZJZlleWz58tDJ1xNomypPaJSdAgUUpWh85zXhS2Vaadiw9H0E16QtLTxWh+Jb3G0lBp1bIyrOcnFjGmMUBtWWcymok447Zkca9fC/HVSGDB5UXhC0q8tNYxAsNXAT+W8s6d5jifFCawU1s2grFBeYAg3R7ruDbT0c7EHKUWMdFDY3GoXlq1Uu3l2eDjbWlveF3gJTKd5TAkzteARATckXX3yZtRZXXHZxBt+4Ik2JGIU0nJoYi9jctLWI/nM3jRUd44bp38ANvf66a7NeYU6wOIuS0cIoGQBMbuyYUbnHRL+RpgrCdldkY1hjO5kvv/SS0PufYxTAUxznvrDi4hE9u52UJfHNubffxXqRyQPeF55/btb77K6rvjPBMACcuqAJ4dopLMO0qhCB8ZPmVwrQlEtaLzsFCl+inFrgykNfGJa9CpJUm4SgJWq8J25GUwJtLTjW1mITEa6yHgAMlRfs4sdqeXfZJRcV7e74goJ2fsdHxERYZS6KtF42sQkFF9dorx4U7t24CfJJVQEBvrJU8fmh6Fyps+KZ3If8t25TLJ/3tCYA2hIRxAUMQN7cXRHjJYDWlFKIuyxfujRTsRia7kvGul7MM7dOpSDGhE3aS9Ie4rukiVld82X/jbHjkjBUlB1QSQ1K/QocqjfBFLNdQMO976kASKDI/zd3slLVOFpoAtmMmhiPMaRvUs30z2Vu/VvdF/bkfhUBXhnAoz6D29DmEl8nVsUjeHzFimC4Y3NbO30whrY3cHN3FbvZKVB4MGkqgaGTTzy+nHD0kRmTyKBI+EAQtq0noxKfq97CluX0U6++KidJYBAdRnf5rkcffmiyCJQZcq5f/0oqlNy//oTKc2VGxBFYSBQfWGAbbQ1ujWJXpyyFYB8Xg1Jzjf70P/8VbkD3BF8gzE+t393a1iL+wPcXqUdx0XSK3Sh8VgVUKmB7BNhiOI2uD7dy5eOPp3JTMj6vYqP2FLpgzgWPKbS9Egrt/hJjedLxx5bhsXDVLPC722WhbRegIAszdsztGaS0W5Q7K2aCYUkV7/ff/1859OADM3PEir+8dm02YZLN4k4yXGI+2LH9I+pwuNZqWbhUFnR7CrDzDHp5Csie3rNHOfyQg7MWQ1yjOdkpUKBTgkAoiqoy/qiUEOvcEQKIsAZBtZ7dTsgUn6j28zHwaFqvU3tk+k56SWyEn8WSABFM5LijjygXxuQBCz5Z/3PPyveIpO9JdLm1og2aikeUVWbmt7/5v0nvKU7jQmwPAYgbN2wsStJlpqTPBFlrDVF+FoyC62HvgmCg2gtZiUoYDg1xJoy7MwOjAo7277RlodmuRGZjRfjWjAfAtUnQ/hwLoL3FOIrj6LwGcLGbh+bNy4zU/XNmZUziv377b+WIv/8tN5QxWDJgLiXcGO6M6dMyuP1JuBirnlyZBpD7qdJXTKG9jVclX3/1da4TxXv7/2m/XEdYbXOyS6DwMEfGw4vKczU6SiC42gcpwhPCgghocS3mxkTdOvKm7NakSs6Cq2c2Blyq0Y5UVJB/K+UGOLgorGtHKjdRPCQSfvAB+5e//nm/ZBMCmx0lCbpLluQeEfEcFoyVAw6VyJBwI+6bOT2rXuuDlHQBC2GJMJNTunfLAOmbQfM7SrkrwcAEjFlCG6PaKgDYEuFKcN1uGTkyXcmrrrwiXYbZs2amu8EloXPWingJMPWzgiouqM2FyuAVExpjOn11LFYsrSOMRr1gFuPuHFuOPfLwdNfdQ3PSLFDIcqCZx8WH2VHZ0nLdthIR2UcXPJI+aLdQcPsS7hg9qsy5b2atKUoAV6Nfb2cnZeIiaRSihNxgnNnr1OwYpBiqo5Vb3YlKx8MDcA856ICssKxfpO0tgpp8d+5XNpc5rWf2elTlKVj9w/YxzKbGwbYwB3Ggbf+oFdUpT07af921GaO65uorw216LIPdHS0ffPBhuWn48HLsUUdknwfNZjpSgO6ypUvTEKlcFZQ2t0rQxXhYZlXAXM68wi2x0cxuZjqJqanuxUoE4MWPGread4RYI/aMCCvwFtxzc9IioDj2iMMSMX14RwqU5eebBJZMYZWiHME0eX8DvHXr51mdZuHxszEKxU6qDe0BgfImRLt+cY+ORm6CMoswH/q3g8rB/7t/WpOqJLqjhFu27uW1Weti7w2LaHwenFdrViyYBZjFS1yA4o03NgWzWJHpZPUJyqwBDJCuL6nvKMEcpTt1Jjs6dBKj1NeyI4X+iMvIulx28YXJCq4Pg8QNsfkOe8RYxXPss+Gqq+EQn7DT9OYRtZYJMjXiQFKqHa2TNmKqPZF9E+fZ54GCYAyKXVRqKsEV/NF4ZcJd4zLSvOCRRzJFq4TVLlGBzYlhOW1lFt214YYPyUp6pr0hnQEoiGAZhcWsUOPsiXDVFWVSgAcKbRztHRDUlGmYMW1K+NYj87VYncItPRwE5DqalZHOABSEHkk7z5s7J9OzmvQAXWl32xmk9h2PgGGIs8nIGXPjJ1MnhjFl8sSMb+wNnfxVAkUlCpWeXvVkMoMbr782c8IizZAZHdY1yM9+h30oXhLAU9jUkcHLpqSzAAXhZrz11lsJqnoioM6XDdRv9JzaOG6/7Hq0rR3Qigmp9BMPwt72lnQWoCAMWFaThvsmGGlDolQjxovB7hjH/udlps15KvpU6M0iKaDKdG8Zrl81UBABTuziyZWP58JTrQcgFFHZ7HVuUDplu6oh0TyVe3vDj26UzgQUlVjwWvwpAhNkU2OBRsuvq1PQ2Wv4DcOybFnVaXumw1sjnQUoKqFftgfUtjVMyp2bwEHZtAYzsiMySeaf0QIQAsd7VWIaf9VAQeyXkA7b/PZbWdm2NADB+QoPzJ6d1XL6ZSoDtjj3RjyiKemMQEEALwDQsUvXsIXz58c4zsqYEOoslee8k7Yoy28r6WxAQbhh4js2HtqZyuWwMVDlsL1I4mnApLX7K9pNOhIoRMQhoyCiohOvd2VAMay+QZNSEyT7SvVmWKNUzHAhMqLeRj6ulFXVyLQtkdr9ASSZHgEnFYnYjB6g9cLKCljJHniN7ALlrd9T0VKgoETVmNoNaLyMqZiANCBls3FItaU6CPTX6425e2jMALVW3LNxxDZ8b1uKcfI8n336WT4HXWJd/asOxu+r/iGewxgYe7EleuQZvR9QKLJqDih8lzJw42YB+zxjqyDLd/s+4yjwXR1J6XlrAfEt8XPz5cy7Ep/le7/4/Itmdw+3hXguwVNryv3Xl617buNm/MRUrEl6Z80Y93sm3d3+QKHZKx9NcxC7Cd2EPf7Qc859M7JTtg1bintsPtG0xuSImFflrZ1VPLuFL99tE5waCAtdOz4FPiLbFQ03OTbfqPNX3MUHlUpcG5ZFmS6RHm0JUFj0QFbjWpWowOHTzz4NlvRclrHffde4rKwULONWUQJsQEpOX5D2rPDcU0HRdWbSLUzZukyK8Zo8cWJmsZ5Z9XSClJ4S74We2GRovFk9W8SlJOX+X3vttdw2fcyRh+8UKCweGTFt44yl/TMWru38NknZX+FzZXxYVoyJbhpzr7fo9gVhzBhi+rdg/sN5MBbdJAmqm98OZrgs07e6YWm2I+jP8NmH4niGdgcKC115NIolzcNHc2NiAyLkCpzchJ12ylMtPA+idHRq3HhnVmoMAH28MXx0FZ1SrC6+ez7PqlU7WJTdmaLZ1f4DHbZUhGq+8uq6Wg9KiujMkV0BBVYgbmCXpO3WTi6zuUkBmSCtwjP9DWxLf+65+JugZLgL9jloMmyhdVbBGBxzqPDopOOOzpJ2z6Qlnd/Jukg7bvlsS2YKrhlUO7JQZkY60f+dwbLqqVUBFMPLsaFfir6aAgrzoor33gAauqb1IXbicwW8Fb7RTwFv28Xp5hNPrEjDJpPW0fVCuyM1d+fz8tRTK7MK9Nyz+mR9BgZGPv3k07JowYJy7eCrMn5nq4MNiqqCdXhj3K3brKPo2b0dGUX8HYWrFTYNTrRiAXXTEVD8+0EHlBOOPbrcFdZYmzxpOX0bVAXqoAQofAd6CP1NjmIoi9Tv96ZgR6yeEmHt6OxpQHcprmCfhaq130cf1pqt+r3eDPo58J+VGAtmaX6riAlTaAlQeB2r6bXGnfVFlZ0hccWlA8OKHppAgbWIH2ARkydNyjGV1kRBfYa4AzfJfLA4+mNuJ0B7RSg1BcbOAET3UM6bYjxZOqxixr1Td7RtoyuyA8qKpcJt1XaotIA1YLk3QFQhHaCwD2lnjOKNYAoyNUqndQ3DHOimdOYffvefCRayYpiZgjKLRip46aJF2dyFITRH3BMAlnUmqH0nOYQ5DXXMv+K9U3t0yzYLF194fhpvbNf+JlvX6UsGVK8ZXK64ZGAWHtJThV700AZAhWPtBhTpc8bNeo09+tA9OzrF++wsdXOO/lPyajJRdvTHRhi0HECgzVJFbtqiAiTy0KhRRe0bxe8pHmXY2eXvO3v/rsT7gJb7ARB5/Fug8+qwPBDbhi51BdiR57Cb0ECr6Ve49Eb4grIIRx/+96ylf/utN9P1sPX8sF0Ahe82htroW0iCihQVWBgjKbbbbh2ZFFnBE8rJLborFN4CM6YWg65Y7n/m9On5PuXY/rYz8b3GrfLlm7r2ZEz5/JouGxeNg4yZDVOMAvcJkGVLg3hWjWkBBOCdNXN67q+gY8qhTzjm6DI0FF5P1mOOPCzGcfROC79QcEzWawC7BeT5MF9g7z4USHk2tSFO+eIemnuxGoZN/04H+wCcDPCGO2RbQVOZNGOzK7102dHbFmJNceu1M9A39rC/HZi7ke0rwmBt0Wes+gYTNqabXtuUJfjVEZJDQpc8sz4lTshrN6BICb1ZG36ffgvDhg4t77xd25XodCXNMkySIIqHUsmmJZkBZzk2bFifJaRyzA4FUhOvbZdNYI5Ua2ohGWj0mtW1V8EZHXzK2rU6L36o3hOCUiZud4RlZoGctsU66++4aOHCTHM5G1Ups30wItoAUcNeacQqO+A4QjtbtVLPLeQfvJ+xBfsTmgMKwqXBIGzlp7gUHG1fEUrKxeFXKtTBFkTVWV/7M1hFPShZUIVm2JAFRymcmwlUmlJwY1prx7e25qPHZ+wYz/jZ7kfWCVjtbvZDy0KLzFyzYIqTgBc/GXvzzBYahip2YdOZ3hMOeiL2xUjVHhN66KzY0wKsjzzs77nBb2dA4V41zxXHALCr45mIseMaWzC29hOs2H6MKffckwHsDz/4MI+akOaUcnffLtWpziMRa6kX965tgeMa6V+O345x/PnSgRsz2V3ArcQaYIDpAqZw6cUXpgFz/KHvx8zvDjdKmbujA+gGsUMUMz75pOOzjN+61S4P62hXoLAQ+eiCSwpzpNcsLnRc0YnNO3x9SqFjEjBYvOjR8lFMvK5PZ/c7sxz+94OTUqKEFJuvz/K8Gmjf6IKg1SilXpU2BNnOq/WdS2t/F9Zi2zHkZ0H2VFgYwUnVdA7PqZXeTspBp2BaATquXvUdhSdYkt2EJkDlKFahas9ej10BBZAS7BV3sOvQJjhKx6pReM8NSOz0dHarBWRM3Y9Nc3xOZ5oot6bcqL6u4Y6ho0CNSvrdd6z9mmQmenYqrtoxnvEzcOIeCIrtbmOV776vNUsWa8jFHq4ZoyHWcMfY0VnLwYJra+A4QpZQh24gRZRAq40xpqjzCcceVY449G8Zx9kZUAjm2QuUp9PFOAgGa7DEnesX4OkeBKuxQPRdxaT4hIWM/XoPMOLyMBDiKN6Dtis8qzdCxtT76LpxNH55CFD8W/t5RP7LpXwhAHh3DRjhytpyr4s4Bm6t2dwllmY/lvSs0gH9YXVWV3wI5In41+hw1zAQbSYvD3fW87U7UBCWzYGruaU2lHZ83LSeARTWhFNsC99A+7sejiLQlOOk447NHo0WBIvLH6WcFhUlqRZeJRYR35wlgZSsDuvgskvUhVLxfVnBPQUKPRal8FgahV02mPkuCoopoPeUBwsSTHR/BAj2DoW2a1XHbv55S4HCuGNEFjalNJYU2cKB/hYbgOAWYW0T7hqXlko/Bmzi0KCgaLvOUPpg+Hd0gI6AqIXSqKROidfc1sK1UQlo/zye/ZPyYwBYkrhHk7JTC1n7vbaE6jSAmmpFRsSltbzv1AND4NFCc6+OzuNfy6ARrA7T4DJgdC0BCovX+xgNRqgaR3qqucyxRx2ei0l2DkDSKSxVQJ4+M2JibNxHsRUgrEMahgK468/gMKYWozE2jsYPOFe66Vn96/02imFxrRXPI66HYQIIz85YaOSrWtm4XHnZxQlEWLxnsxlSm4iqqxkwFjM87ZSTOx4oDJiFYD8FMBClFqz6yx9/H4virxlR1Z2af+/B+KQGSuqKMrIw5weTMJC6Pt8bC4ofiSJWC68SjIJLwO9WMmvSLRqXzUoui4OPj1FUE1Llky16AML6ApzqgtAu7Mgz1pcpc2H41w8/+GBaVs/I3dBejrXSvLTGlH4GiiVLFpczwh3BjmpA0XJGUSmELd8i9uikMT3+mKPKQQf8JdyXgzKCzXpQ7iqt+NknnyZwoe2Awj0a05tijFhTuz1R46YYhQg4xaPImN+O8YyfMQvZAIu42hrvM7AEixSDRHeNX+OYGmsb8VD1t2MMNAySHlc+zv/PMzWvHZr3e+GA8xL0LFoHKCdQBNMhFry/2RTYUqAgdFhmiNWlv4BWU54//vfvyn5xVWeNMlDcWHENi0oFJfYm9pQZl/gZxfc6cQFM5bs6N8x4YBR6feqVYvywpUo3MW7/2pDHBakHa/cofkRHsJtG3cQCXH4PZLRUVHbPiIg9GE/r4MTjjg7QPTPG9eF0QRnn444+cjtQ1MYIyBiz03rWgOKyDG52EFAQC/K1jRvKrPtmpDvAyv7toAPSR9I9B422371iCAaK8lDsoddclVt2T+t+cul+wvF5wIr9/c8+s+oXC5bwsaGlQ3NNmr4OcuIulNVlMettqDqzAgrfa5BQS1YXLfTe6rLnweX93Br0TRCtseOQCLnNZkeEu4TSoZRaywO6hx6cuwMoBJJOPvG4VGxMg5VqKVBUAiwstlkzZ2Yaz2QefcShOcGsvHJhSlcVgGVg+dlnssFPbogL10OfTBkZijp71qyMCzlzol5QdPGJeyZOTDanEdCO8YyfgSF/feWKFTvu2cKg3OI0LLI5N36NY+pf9QrGAMADNLGDqrCKXw9IgVu344/N5+TCajTsAF8Wnnzy8SfJNE4O/QC+3U44LoDikF0CRSVSzFKruqKJgx34lz+VA/f/Sy44IKjTWNX8xhyyvBrUGDcMFVhI9WMGwI3hqE9FGw/3YSHTP+MnI1PppmCqfxlB4FcPFAK5AAGYeU2jbmIGLp2/MaPMsPXoFjp39o7xAmj7/+kPySBujvcDkFHxnhMCPKw/IE2cX2tenH/D/dD7s0OBglA4i4tCCPigj4I/+gJC9frOWJTF7wzsiseWZRANtUPV9bvksug32dhmzftYWtalagjCt3RBRxegUVTjdZXrgU2sXv3sjsNWTHxFf12sr4tPD0jQVfeWClEHVhtf25jU8qjDDkklw168T4dj6TWWD5gBQEcdAkyL9+OPPsyF3ZJgZr043d2YsvgYzOWXDSzXDxuauzxZsCq4SFG5cwLLi8IHl2rUH5EVo0SODHQCtqh3I+11Gjyf3M5cG8G4ATvGM352ODMgeGjevB19E9KCxsLwXRaS5zQOjWPKdeEyeXaBX/UndKhKMWKIYgaUX9GPAC4GxDLqPYLFELpiXo898oiYv9rpcfxvINYSoNB6DlOQZdN+QJTfAhGjEKg2dpV8GQDNRcN4BVOBMdcDmB20/5+ThUyfOjWDsJVY+P7PgElVGz+NlSrdpFf+xYLF6+rnAODa7EgnvK5RN7kwtau20Ux8BVhimQyUgLls2u/+49/yXBtrDrsH4KcEoHgPHVTJ619GROOhBOMAmQxmhkvdYUBRiYWlrTnlQdOd81FvmSmZMm4+q1iCHDcLzt1QVGMxHXX435OFvNsQXQZGYiJei047xZu/5vKdLqlZrdS9rkJuCimizvXhtggMVu+rvbd2ychYhKgxCya+Yv8ICyNqPiMAwETWzmsYl+6GxWiwuQIsk0WKwh9/9BHp2zutG0hOCSDZVXp0Z8L/FcPRoevGG67LIwc16KnEXMkkofM+e+nihRnp9mwU6m8H/jUpN0b100+/jNto1bcpwF0wltU1Dj+P56z0uzVdqbei5pAFlorL982YvuN99WNqy//8oMLmy0lZAEewb9VTK7NniDjP2LC2XKmLw026P3TBe+T7Tzn5xCKmIMApSA7Eepx0YtDsGxLEVGZiPS0Bikq0gBNcNhYW2Jo1z2//S008F2A2h+5DsBpQMBoyR3+LhajVHcsPvCrxvkxNB6B73nz+0LMdYxG66l9VkcCqnlHoWfHmm69nMRr9a9TN+kvcCtBhDP41R2Im4jwH/vXPycroCTdlUejmBecHqPY6NVmOjZQAT4EbowGQARddbv/0aINQHoMsSixgxPeEbCjvj3UK6ohBzUevH3ZtnqmJWilPHnzlFak0UlfoalWO2igmxmA3dfmbq1Gq3zf1nupCy1FPlB9QYB+DrxqUP98USj7wwvOzozY/GhjZd8DN4QqwUKxyddqXc04pjTMdsIyWFFw1ivu1EFhj+XIBYpZAWlm9RmWZ/Cs7gxZjWay84B8luugC56T2CtC6LkG7qUNwmhsbef/q743S3Ptc1Xs1Gl4Zior6GxuUGXMDqFrVs3r8dz46XcGeBC7FWNBvi9RrBG8tJhWzzVVmNiWMjCAkfT4oFrwGzPx941aJRwQUrP6oW25Jag6Y9Am1sMy9Gg6AzNg1yi7HY/vfG6X6Pf1r6n2u+nmoLozZEZfS6Gf1OSPTnYqw/A0rcnSB9K5xNOZc/HPP6pfxC8YQEAPNdi24akrQOxbdQkdv3ICgDhpHWSoxafwmqD3kmquy5BmlpEQUHRqj8W2R3twd4aqgpaPD2rk3dA9qYxNYBkv4+VZVej9mzMREuX+vwaSuvPySRO+336xZHeDTkr0ejQIAjDlrwg2oUcYz8/2yQvWuhzjMmtWrA3DvzDJdIIf+948xdVC09GYNeP9ZUTtCFI4JBCqYEpB0vgS2gx1Mmjg+A5+6cHkmJ3tjHwPCD/caGa4Rw6/PZjrcMLGhY4/e+V6PpoQRU9KsuTA2opO2gKAAa73QTZuo1KioMGZ9uVB02nkxGuTq52F9dAb5MJ6fC2idqZ2oeq+I78lmGauz+/YJQ3Zq6gTXQ7AW4+QSivd0+DZzvp6JVHegAMli8RCvv/7PfSGSLodFXrFieXb/YQEF/ABNS1yc9hYLT5AJXedmcJMsWIVIVeCLcGsMuvt2/6ifugaBz0qZUPbdAQpsRKZBUE/KTuwHiHJxZHAax1QAVFCZOyDGg3KaBxayNa5OewirqOqU8hpL4yFIWtFxC7QS9ypyb+xVtNpw9/TTT+UisEixu+Y2hTUl5kl2BrX3/XpXmrOmDulxr1xVe0OMeY5jsDX/N6+NcZ69JQyENYc9YPI2aFZHFtAdFcXiEvfNmJHjzV3nBorLeD662u6bwpqSig6Z9Nr1XW6zNbD+1ijV6ym8QhL/+t6mXrs3hMJ4DpaOovm5KSXxOvctFiNd3PgMLd1m3pT47B1jGuPjX5+/szHNe8l7/jYvY7q3mFlTkvO9497+eawq8Xy1sa89Q/W8777zbrh3re9H4b2VrlXjuLP5JF5fm9PQzR3j2Hl0sxL3Y849R1M6keO4/Rn8awy2/bQtt0nQyb0CFF3StOwJUHTJL0XQtrM1rtkXRXbyV93hal+ULqBoG2EtO2OHq31NfvU9M/dV6QKKtpEuoGgb6QKKTipdQNE20gUUbSNdQNFJpQso2ka6gKJtpAsoOql0AUXbSBdQtI10AUUnlS6gaBvpAoq2kS6g6KTSBRRtI11A0TbSBRSdVLqAom2kCyjaRjoUKEyaajVluU4c3/TaxiyH9Rr/t7suzw+IG7IfIjtsb92Sr3//XQe7vJmv12DGa/yrPNcZDCrIOkJ8jz0lVVPgSjybPQd6Krp3JbLOfdAeXWlsa6WlQKHCzphqOWfslDb711gpua0fU+31tJl378q8lcMrL67G0j3n62IunLfimdpDfK49JO5r08aNuRNVgxzfWd+x2rjZ8+Ke3ZfXayOgBNlzt0RaChSe1Dja4LU5xqw2JjXdbBzH6j7s7zGWdupWf3MZR//3eztE7bZtDzEGtoLb9awxjst90s/G8aGbtvznfcYasjflc7rZ0nHsSKBQGqqXYdaSz5ye3ZZsIdaz0s92pvm52sOhL8ULq5/Ldug6cY+/M147rvZ3lx16E2Mx2U9h70RLH3p3xBZti9e24LlzZmdnovqF6+CeF19ck5vW7GrUIGXmvdNyz4RGua1ddC0FCuW1Fr3vsb9Av4UJd43L76/G1P99lr0HtrnbAm1vh25YmtbkOG4fz9r4jsut87vb77I5qfai2N3q/rTnm2C+p07ZvsdnU/lhO1gAEw1hZ8+6L19rh6g9HHphAJWWSEuBwql0ntf+h1kzpucYGMPaOI7JcUzdjLHURk7/EXtLjKcx0xTae1Iv4z6NZW0Pz6JcnLYmtKX8aBzDQFpLtqS7B2NE92ykc6xjpXFKse1BsmfFfHutPTO6wpuLlnT57lCgyHM9wnLYcmsLq52VGpBog3fkYYfkASs6PGm6YRfe5FD87AM5ZEh2YtZhx9ZY7fC8xi69M884PVvL2Qhkt2F7WEGLEVOwzf1m+/G7dyvXDx0SSv36jr+zyONDQc47q18e3HtO3z65zdk2ct2kv/m6dd2oWwoU9h7oxqRTmCYmGvdq5uOMC306bN23zVzXIq3ZKLums7ptnXpyt9Kz24l5n3bg6t9gPnQz8vrHVyxPi95mElNjgT+18onsu3F6zx65yza7f/c/t1we9wTMLGzPRbn1cTCmtpB7tvNjzu0StYNzZ3su6qXFQLHtp2RSemBoeKPpi++jm3qKGkdtAeymNHa333pzbhLTyEWrQX0d7Aaml3bg2ulKVzXx0QMCu2wrYRDt9NQkZ9Rtt+Tc2TWreU+vU3vk/Wl3ZyOicdQZDhDbRXxqLHD35fCfkTfdmDuebQzclXQ4o/g0GIXtzpXltdVVW63//csfs8OTxqRaikM/h97mmQ3nnlP+fvD/Fi3uR464If5+T+7mYymviO8AMJSdRUL120oomc1I6JzW+7YYa6n/7//n/y39A+Sqluboqh2NtjdTLI1/obvWcgDONnNb5FvDeFrDKHy/LtysBMunYxKF2O9/fpc9FHSBsqMR83J+h5ZrFt4x8SzGzXumTbknGMmE7FPqb5oYew7nkLQVU9M1yrEJuonp9qUlG0us0xfDoc/BgP7nBJuZnztdNVrRHYrya7J868gROe4WLGttZ+iu7q2lQKGvg5YHOqdVO1D1YNDr5Pe/+22O45DBVyVjsMN5XhgwoKYB0X//9t8S8PyN7mJ2OmhfctGA1AcArsmMhsFtIdbZe+++V2slcMnA7OUyNeYPUwBSzt1wDorO38bIFvErL7802+E5gV67voEX9C/9AjBGj7otGc+upMODmSbW69Ah/Q91gqK4fc44LV+f1jf8KX93oXfAwMOjgK9tXJ++pAtiaumu7fhJxx+TE8sq1AtFAVC+0w7JvPz8g39rP+fuuLivRjbi9/y6x5Yvz/6DrO2hBx9Yfvfvv8l+A46g8z5dmzyD/oyUQhObrYH4DtMxqBjPEytW7OgF0RJpKVCQHNN4Lp/P0uiwZMFrWqMnheYu1ZhaJBSMxdTLA613bmY1phif7+11Ss8E8PtnzcpxqMQY+T6/2zGmOZ7VmNZ+NuaN4+n3GzZsyF6PmKJ+Erqb6dj0+GPLExQ0BNYv0vZs/TiPO+rwBGjNmOkSNuQ8Cg1XVoU19JnNSUuBgvxCN2O8xCbuGD0qQPPoGMeLEozdr13LH29vta+fiL6kQFrspBrHWpu7BxJo9G8ALo3zB5yMI6v/y3H8+ap0s178HlDoIsZ1tw3cgVGYJRcScxgYrFvXel3JGS3ra2gAnb4oYkLYEJDDQuh341w1SgcAxS8XbqNAceyA0mqPrn1avWjiqlOTRWqwBTfrRQsvf9dAVhdmgaRKPDwwAR4+9+mnnspL16Znwhflj/rZZwiYmbB6MeEsoAmntI6lc8CLo+V0o3JqlGd2eJHOxd2DsrMkAlwEOOibiMpjSPzBlkprgKJRBCj5yxY6d0MvgUq+iUWgpwJAo/xLlyzZ/peaiA/oZMRyc/VYbs9YCTDgy+uKZK4tnhzPuIzn0/GvFoDcssago58FADE0AFzvOgBXDWKcL8LiYTjuT4t8TIf8GIwEyNEF7hTLbzt/c1IDivrdozpctWweGLJpkyfFouiWTWo9cyWYpubP3Ge6Z8waRb9PQKL/qP6u9QDlvvSBAOJiLjv0su7CvB2pIFZTv5CNI5dQp63aMZUf5DpyyplzegGF+wVk5oQbTwcZWscn0HOAofuW9ovaEn5Z15+2KdkBFBPbCChQN+c+Oh4PUFQHiexMoPaEcCEMqHZsHqwSA6KpjT6a+vQ5b0JDFgMu0wG1Kb2OUn17n14mh0JV3XrITz9ty+g0F8Z35DkicWkpz891+VmbOM1lqpPEKzGgfMvVzz6bgVVBIhaJ++E4Aa7H9999n301+YUa/N5z9905aUSPT8xD1y50tDV+qntBfw89OIDigL+UcWFJdcjalbBAWrUDFu4HJZGFqcRCBXzu69x+fROk/R2IARRWnpViabTE4wbUL2gdoJ2zoqGJ1nTcE2Po0k/RIh8z+vZwxRakJa9nIzsTz4oZij/QA67ItAAorMcBPhrvEPMhiKhJsvlmxS3mXYnYFSoOKFDtlgKueZwYgNszAFN/U1S+Ak3MzbxrE6dxsgAmXdfA2DgCFWOkiTJXiXWvb15Et99668207I7pc3/VOBpDLrlAr0N7ZDOas/jmDgPTUlHcyfc5AsAhTZr+OEOmR7eTMk4B5GVhMA3AzKWaePdd5ZMm2vQ1CkZHj4G5bu2AsjlpnlE8+0xaMWco8NGdtdGc7AooMAGAk2d5BOvg0yZ1DWsiqyAoJgDK583AzNc/B2ZYIA+n4anJsDhcVTdul5+1O38iHrq+ezYxORQdFf0i0B/zcAqWIGEjUFyVZ2n0SeWVniIARjs0tM+il5JqqWAlFuzBf92//PWPf4hFOXKnlLledgUUOmfp/MwSsgzuzz0bI4pN4QWLzw6rzedl0eoF0LBcsgFcQj6xMXTps2hM9QyVneD77gooUHzjigH5LEC+fNmS7Hh2cXymY+wEGAmgWLRwQfrbGEVLgALIsYR00tEHwMw8NLfwKtkVUGCMziPd/4+/T2OlkTLGYxwtVEwXoIkZyYjR50rcFzYADOg1UKzGsaabF2Q3cgF94F3/3nrxHPptOJdGYJVRcgI5Zrt82bLMupgXrruAd5UtcnbKpQMvSKPHndgVUPh+57HcOWZMBna1WMRKmpNmgcJgonk6D6O+LABE35l/3hxQGASoSJmdq3DkoYeEH9sr25qjzulnhxXihwMPDXh/ORnb8ru1gTMYgoqu6ug7AOFnSCuK3sgoGkXLOK8/7OAD/wkoHLrDCjuH4WegeCbps+AgoMCAdiXSsJ4D7dRYdr/f/Wf5r3//TY6BBSov39zi2zVQfF4enPdABt+0ajfp559bi+RTKEqL2t8YwIplNS5EjMJJUxaEc1KwshzPuPRavOXmmzJFK7BMgevZSL2Y2yr9eU8wCHEIICx1y4JibxiNeIS5JVKMGA6Aco+7AgoAz+3UzFgW6s/7/T6zK4J7XJ8fdgFiLQEKvSV/+5v/k/peLXbjKLAtUMxAOc6xMZ1LT90bUKlYbjWO4kv+BcYPzasdTNUcsGnBqH5mRYydoDVm4btHxNxMnzYtnzmBYub0YFM1N4bbLNgKKPTNbA4oPLOaJqlg7P6wQw5K9sx7aE52ChSUwiRbFOiPIA6U459rluvL+P31YvHsCigo8d9jcaI7V8eN5mDGIncylYi9ztUCOY0CKMQepDVRbFTZRcFHV4elxM8sge+pDhtqSvjm/Enf/QugCCuHggEKLcwdj1gBBf+d5dZZXF1IdcZFU2KBi0sI9lFs54kI7h3w5/3K/vv9T0b+bw1WIbvy6rp1CRg/NaHoLQUKoHZksD7njFIsbh0QZYlE7594/LEmgdMxAs4/0dmaNTQeOZ4OV4qFzjUbH/O5ZPHi9KGbAgq/swjFdsRhfK/xAdba42M9qLTW8U740pyWKMZy71KU/Xr3StreGKOgM4ySIiTsVlyLK3zisUeXv/5pv0xjSlkLpnKh0HZz2JS0jFH0yawIn92CB5Y1Y3RTmTRhQgYanbrVuNABhcAxZuw9guXVOFYH+AhMMrSYWf37/WyePadYxba6A5q45JND1wVYewXTtj6kn+mgjIw0v3EU8AYmmLrXb2mI/REBVnVPGB931bgx/hIHUsgSEc3JToHCA/D/LHbRaTcosspKQUyU14Ez/KRKgZoDCoMpRqFlOKpzS0wAv58CVhefUNCsKYXkegAQg625Kuvu4soAH3l7P1Nux9ib/J1JPVAcetD/ZsoWUJgwg66NvFSYf99+qwZaDs+hQOigRre1jta/FGOWzU7DIoilTBw/Pimr+EHWDcT3yM9nfUSfM5JZqIVYvmRJHr4s2h0fsv3TaouwAgpjJt3cVIyC9RP0mhTUFrgLchlPC8zioYBNifc7Ss+RCgK4LKgxdLk3YyqY7YyON8PtMz71khmBd9/JgquxATQC2BgdiyhASHw3PdCZXH3N2HgWuX7Bv3unTk5rpuYD66hf5H5mjLCxeeGuWLCe0+uBrucFjH0CZLBS2ZUFCx4JhvRyWvzGCtoKKHqcdHxa0nqgAGa1GEXfdLNlFpw0V+ll/Tg2ggQxT8ZdYRYGgiFX40g3HXDNZVFoCJjrmbJ7cG8WsHGqj31xqxSwYQrqJbCuPOowmBljIBTg2ADGyJEM0vfcvPpzdNybpAEgUHjH3Xd/xhGTcxSCs06k5ZuTnQIF8RCos+P4BHBEYZ3gpN26g0QEadRGCPZUZbyq3QCFOAMrXInBeX7186l8sgcQsTWHt3i/71C4owDFAnHx5/jkLj9zTdxHpahNCaCwAN3/wfv/Oe83JzDQvHYo8aREbcVWjrzjkzqQqNtxx6TPSXkhdCVUh3UWQ1mxfHn66KwWigwkHGxESbTMZ7mcNHXN1VemywA0rrr8srQ48vNKs+tdO2NrEUiPUrj6PPmWUHBU3gISr1kQYNYacUAx8MUGtMLHLIyhCxga0+rwH3GWegX3s4AfVuBgoj7hRnI5KB3Qla1hZbmL3DxReqfAUVJpc88KiNHokcOHJ3AbR4rtCMGX174U83t/1o1cNOC8XAgZ94j/z5kzK899wUKuv+7aBGB/FwdhKBY9+mh5LdicBVIt7K1bPsujDKRHLd4Xnn/uZ6AIRmduLByZGePQGjEWgOSpMFDmw2KtxrGmm/PynmSWssqyDmzMtWycbunY4Oz7ZiQAAA5HawLs7gFuxkFGBRCfF2sQIDnHZXmANMbCiHPjAGAlabTC1Vm2bEmykcvDrReQdQCzeg2uzbN5Tx/sGIudSbNAUS+Cg2vXipDPyIIaiwiis+osHn9zyeKFSXfTnwslYJ0rMZgKfvjqFqbF2JqAYFsKoODXiZqjawbd/4lo9qpAdtabEjtCEIMSkHL6tvuuUqaeScCVf7py5RMZ3fd6z8/imWTWCXhxVXKhhZKIpHOh7hp3R7zm4gw2nnd230R3xTbSkjI87sUCAiIWAusuHVkJSyhTRPEV61jsfPmOEIoFMIHDYX87MCPuAp9cHc8sAHj/7PuSsbDKADQVtffp6cLm4T8BAFiM6l4WDRMwD/7PXbssQOWseO5qbLi9WOwXX2KdP2bNyHPPPZtpX/NlodNLP7PuXB7MwIKRdmScnG/hbAut+3cAReg2lxPgSotb7NX5qO0t5gv4O7JCnIHbq4KVO+5+uP3GS20KMGK0ZFLEygSq6cTACxytOTCDzvSsVvuxOWNEjm0YMnhQsiV6xtiYI8bB56VOtkBaDBQEHRStl1vPirzwmVlFmQA3inpSBtYNxaHklahBF8gR7OLHofJ8sL0hKPTmWNx8SvTQsXb+TwzcB6FUjvl3jiMfWmyiNsDjEum9n+V7Pyi+IJC4iFO5q/Jkyi+iLNDGVRA0bBQgoPDIawQMgRUlFuVWQyLAyC93ELCfRfgtCH5pJeIwskMWJouNwTXGjdpL6IJMEKBQOi7lzeIzHJmNCmDNeQ66i1UoPTbeaD8Q5cIaXyAo0Pr6a5tyz41nuWzgRRm3kA0ZOviqsHxT8pQvDLTx+RRMSd0++cTKjJFgckCVXvoZeANl+3qkZlntaeHyWJzmkHCFHGs5+rbbEuid/L4rC9tWQt/Ej15auybnFxOnc1K1QM/9yHYwCl4r9oW1qcqUDGCUuF73TJqYrj19M1ZAFbgCTwYdk7O/iotF13fmju5MWgUUlYjmWyRQ2ESjPMBCMYsgpROjTTgaVH9DBgR4PB+WSN5ZFd/ekG3b/lHEA8QSpIVQ6y/rysUBgXiLNCvlxqL44Sg0NkHx1zz//A7q2//ss3LSILwgpYIdqcidZYfqxQlq0ltoqrgNK9I3xtJp1U74mjxxYlo4J6QL0n5XtyGJ1eM/Y2ospLqTSvnbW6ox4kbMDaruHqXslEK7ZAAWLXw0syosNmARO3nyicdzv4TCIKlSSj//4QfTyg0KF6xvLHDFQwBFDQa/3ft2Zfm+//6HZFvu5847Rqc7ZJFggeIvtVPZJ8d9zs76nfpiv3R3gtEAE8VSnqullrathKvMdaVngrbcAkFa4F8xWMJtSYYWDMPWCdW4xl+WRJ1F6mSAtwwigFBMiOVzoaWWd5dx7hZQVAJ1KaqbHjN6VPrvbo5VrJ1iHTQ6Bh6NZgmaCgTtTXE/FKK5+/J3zwnwBNdeXPN8ThB3hOUUlGQdnU3JrxfIyzRfKx7Vd6DH4hHiLmg5iyLgZExvu/XmjAWtW/dSKnhTYOAZOnp8fZ97qS7gYawAWI11/XPJst9/Fi4DIH1s+dIs+rFPBMvod2bvdKHuCreB5eOitXbB0jOu4JIli7MUHy03jlihBTQjFiAWxu21aBrHbG+MY70Yx/ox3NnzO8SHobW2bI0A1EoE6KSDiRmvEdcPKw/Pm5c1E63dyNgoewQUlbDOCk7kZiG3Wgj0z+SL9qLOL76wplXBy84kJsTzodFSXzJAZ5x6SiqfNNq8ufenS8IqNbWIWyoUQwR8zQur0yLzpc85q085Kyi4rIFDdbkqAlSo6L4mFsDHn8TzBYPjBnCx0GzGxYLmripVlmHJDNBuioW+9fOtGelnSaV6VTTy0bl4gvIyOS+EywOM6gPT+4pgqxiU8cLeubtn9jo99KVvstw5s2Yl05Tebyr13lppE6CohM8sQ/JA+PeUQNDSgpJ+vOmGG4LGz0lfUNqV0nRmsWgNsk1iAoaJ1uIIYZ08F98RReRGCaq1tUg728PiAF++NubCZ0fPpVRRVFSVf82V6swijoDO2/MgaHftkBoAAoiLY0wF7qS9sYy2DsaKBclwyT7IHKiZ6RMLSppaqbWNctxI412fnu2MwghJ+8voyKII+AKIWsq4V7pYsiICvDJHbSltChTkp20/ZQGRUlVWkQuipwLAEOCSZpQzl46U7kRPO5MACPUFmXdeML8WXAuGJPosDqMOhEslYMR39Pr2Epbug/ffyzjKhPF3ZkBKDQEfXpBPYRMfVoqThdmblLkp4QaIwst+YRACsucHg5DKSzYWCxUIAwgLurVuRkvlx9AxLQvEx1B0WwWkrfv0ElcKHz5Y4sMPhWsXOss4tOec7o4YF+MjACt7JC4os9MvwAHoyXr5HTcfq22P+29zoKjEzaJ1T69alZFnaEfB7eVA/8aMGpWFIhs2rP+nHP3eEFkZdF5Ou6JzUqLut/fpts1fmoVJuk+pH+iodn0Ea1CXwLWTOssMSSw2rp2dhQJfrPU7776T6dq9LelifPRhxnMELBMgzjkr93pgYzcOq2V1BGctzI6aexZZ1kiWZdaMGeHaDc3MAuCyv0N1r2pZKVpGTOepvS0SAFpEPhF6p0oau8QgzgydvOSiCzMNrbhPj5Q9jUM0J+0GFJVQgg/DqihGmXDXuIxGW3z8KZ2XBJyUbbPgAnodjeZJ58LaiAgvXby4tgEIWieo1XLVY26/PaPp72x+J16/9wDNtnKZGnUGgqmyS1KqOiIpyQUYTwXDEBVvKlDX3oJBZJXh2rXlobkPZDWlPR7YmAWpWld1IYbRuF+iowVA2W9jy7jFJ0MirsY6A+OF8+cHA6kVEna0TgpUitEovmOYMFiNdsQfzghQ0x5BZSZQwzI6wmVqd6AgFFb6R6WeBTc2JsICPLVH92yqgtoDEdkTKUh+WHsruc8XU1GQo4ZfIZW9FPxmQIaScpMWL1xY3nqjVi3ZGWIBFbCxeioX1QXIumAYcuq2it8/e3Zu0JKRaqw7aA+xkMSd9KFQ9DV29Kh0k1hq1s9ClJpUF6IOp7PEAoAp10gKVvZFml/lIiOBQdrxq2gLy5Ti3ZNAdUuETsquCVLqD2HMGADzayz7Z3bthjAUD+c9cUfa+54q6RCgqBdUSt0ANLTDUCm4+AWFykDduDuSSkHKqsikrQU9VwDE96/RuSuylNomGVF4m4AWzK/VQjRuV+8sQqkE4FRHovHDbxiWfj9Kmuna8P/FBdbE37mAbR0kJNrhYQbcR26k8ml1INoc9u2tFuLyrI9Q8CQd2dZNadtKvvv2uyxUklHSK5UeAosaYFySRmxZuKNYJ9bbHuZCZo1LK84g9jQ0Y3u9cruDLNstN43Iegm9Jz77tOPZWIcDRSUi4dJ8Cm74hvr+seYoqopPVZBLwydXl6CycU+RE+BgBaLvAoAosPJXPQhMhig4X1pdPmu9t4rBdkcEX5X2KnTK8vqgqKLgA4MV3Tz8xgQSVZRVee+esjXNUgSstQ8E+DYNDmKNKXaAvj0XYjz2c6ia7Cirt6eC6STrDcDgfmBFwEL5sxibGJX6DvuB2sKa00l7hGwEs0HS3g2BVszQOHKHpMjNn+A/kNpbsteAghhoFltp9+KFj2a+G+W3QxNoDAr6Z0ckP00lp0HdHeH28NtR39n3yd8Py8m3lVxwTbNX6TMAYdHZuruvCSX/KJgDhmGDkeYuCt8yUBcW6eYRN2bEX7WsXbq7k54GMNye1za+lgFfjXFs8vMdLgtL6bqWfJm6Deam7dq+JBav+ACd1HvCrlhNmzA1wWNl0UrAn1xZ00nGp7ViHL3vve0AMWfWzDRSulQxWnRTq0Zl2FxIcZ+9XU6wV4GiXkzOOvnuB+dlAxWoalMWRLe1Vi07wFCnDs01M92VoNs2A2Xte0a5h+yg50p7FYNpAKKE23bdX4NIN4tNJGuaVqtZoHjp48aYAsW5c+ZsbxGw8/4N9VIBBHouxmTDlQKwihoD99EZz3m0bAoQ+erLvZ95aQux+Wz9+vVl/kMPpRGTbZKeZlxUkwoy6qWpOlLvjZYIRuf1jBYGqApXQ2mut+C0Yim/t9NUJXBnYWOdBigIhQQCVaDOLjkFMibHAucqCDraSffGG5uyiWhjDAOrpvy2zqrpv3/OrAQen9OrZ4+szvM5s2bOTIBobPD7axEKJsAoFcjntbPTOGZ6Ohb2qCwLn5s+L4aR8QODVyc+IwO+wQ6MuYCf/hrGUBxCQNrnqDeRvu3IlHFHivS0bJOisNTJsPyCx7a3Dx92Xe5bsRuTW8ul/medrDEIOokh2OuiojerUmNOALnNdfeFMbPfRLlAZ2NinQooKhFFVzjyyivrirMrVO6ZHO3SWTHKOvWeibWa/c2bd9A/iu19CmfsuzCpAntcDP6e9FxVTcmadkRGYG8LVpVVkWH5pk6eVNvxG2MoZSmWIKCs6EmHdN2bKoprTEXfLYBkJoOvzhiETlsU3EYjACGGxF1TaPdrFrq15bNPc7+N3ixSv+JaAIMR0zJS8FjqF6OrmJp/1W7o+KXZk0A5V1DgnE4mq71v5g6XsLPqZKcEinqhhHZGiviizSrqKKuOP6o+pZAoM59SUxvAQvnl71lP1ZS27uYGtVVP5c5PCP+vJsBX0EyAcdLECRmcY8l0iEKpbQm3Ic0+DEFmPTEczjQkACJf1+v0dF0sCHNhrPdkP8a+LFgoncxt68NqwUdZHsAxfHu2yT4SIAoANMJhtLhoyY5jPK8Jhqf3iDYF2Wi5k6tkpwcKoq2ZiK+afZOQm6XCT+Qf8+9sx7b/QacfjWAgdb+4NAFxgpmUEwbRWfy9vSks1vsfvJ8xDK5ElgJjGGEZ7VQdGZZSN6Qq3SpOBCgsANueq+j7vyLY1otjC+3xWbt2TW5V+Lks/PTcqqAgblyMIwahyFCsjcuW3c7CFVRJCyD2FZ3cJ4CiEtkINA5KZ+1AWLdU5p7dg2V0y/Z1fL5aL4Na8NOW45acF/GvJgp7ZCb0h9DwRWOeXqeeUnqcfFKOZQJEgLEAMJ9aLEPdRkdXKXZ2qVwLsaCZ06dlSb0GRtxdzFcjZUArCwUgsr/Gu+/uVrZkb8o+BRT1UrXBl3vGMNC/gReen/lvnZIU+HQp9a7FFmS1A/qQGjudyvqf029HPEf9xa8lI9SegmHJUjgaUcB98KBBWUwonuYgKQyO29sY6NxXZJ8FCiLwpmZfIM62W6k77eVYy391atwaMVa10uE3U6EFKaXvOkP+fl8S48i1U9gGYNWaSHNiEJjHvqyT+zRQVKKU2BkXTZ1d0SWtE1kSpfP1Ld+7pPUiVSzV/2vJrP0qgKJLuqRL2le6gKJLuqRLdildQNElXdIlu5QuoOiSLumSXUgp/z+zxuYQ6GmvPQAAAABJRU5ErkJggg==)
The direction of the water flow in given cells X,Y
Z can be presented as :
![](data:image/png;base64,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)
biologyGeneral