Physics-
General
Easy
Question
A force (F) varies with time (t) as shown in fig. Average force aver a complete cycle is
![](data:image/png;base64,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)
- Zero
The correct answer is: Zero
Related Questions to study
physics-
Fig shows the displacement of a particle going along X axis as a function of time. The force acting an the particle is zero in the region
![](data:image/png;base64,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)
Fig shows the displacement of a particle going along X axis as a function of time. The force acting an the particle is zero in the region
![](data:image/png;base64,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)
physics-General
physics-
A body of mass 6kg is hanging from another body af mass 10kg as shown in fig. This condition is being pulled up by a spring with an acceleration of
. the tension
is
,
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)
A body of mass 6kg is hanging from another body af mass 10kg as shown in fig. This condition is being pulled up by a spring with an acceleration of
. the tension
is
,
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)
physics-General
physics-
A granophyre record is revolving with an angular velocity
. A coin is placed at a distance r from the center of the record. The coefficient of static is. The coin will revolve if
A granophyre record is revolving with an angular velocity
. A coin is placed at a distance r from the center of the record. The coefficient of static is. The coin will revolve if
physics-General
Maths-
We need to remember different formulas for this type of questions.
Maths-General
We need to remember different formulas for this type of questions.
physics-
Two masses
and M/2 are joincd togcther by means of light inexcusable string passed aver z, fictiodess pullcy as shown in fig. Whcn the bigger mass is rekasod, the small ane will ascend with an acceleration
![](data:image/png;base64,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)
Two masses
and M/2 are joincd togcther by means of light inexcusable string passed aver z, fictiodess pullcy as shown in fig. Whcn the bigger mass is rekasod, the small ane will ascend with an acceleration
![](data:image/png;base64,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)
physics-General
physics-
A particle of mass
is initially at rest.
force acts on it whose magnitude changes with time. The force time graph is shown below,The velocity of the particle after
is
![](data:image/png;base64,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)
A particle of mass
is initially at rest.
force acts on it whose magnitude changes with time. The force time graph is shown below,The velocity of the particle after
is
![](data:image/png;base64,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)
physics-General
physics-
A solid sphere of mass
is resting inside a cube as shown in the figure. The cube is moving with a velocity
Here
is the time in scond. All surfaces are smooth. The sphene is at rest with respect to the cube. what is the total force exerted by the sphene on the cube (g=10ms-2) )
![](data:image/png;base64,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)
A solid sphere of mass
is resting inside a cube as shown in the figure. The cube is moving with a velocity
Here
is the time in scond. All surfaces are smooth. The sphene is at rest with respect to the cube. what is the total force exerted by the sphene on the cube (g=10ms-2) )
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)
physics-General
chemistry-
Oxygen has an oxidation state of +2 in the compound
Oxygen has an oxidation state of +2 in the compound
chemistry-General
physics-
Three Forces
and
together kccp a body in equilhcium. If
along the positive
along the positive Y. axis, then the third force
is
Three Forces
and
together kccp a body in equilhcium. If
along the positive
along the positive Y. axis, then the third force
is
physics-General
physics-
The Figure shows the Position-time (x-1) graph of one dimensional motion of a body of mass 0.4 kg. The magnitude of each impulse is
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)
The Figure shows the Position-time (x-1) graph of one dimensional motion of a body of mass 0.4 kg. The magnitude of each impulse is
![](data:image/png;base64,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)
physics-General
chemistry-
In the reaction, 2FeSO4 + H2SO4 + H2O2 ® Fe2 (SO4)3 + 2H2O) the oxidizing agent is
In the reaction, 2FeSO4 + H2SO4 + H2O2 ® Fe2 (SO4)3 + 2H2O) the oxidizing agent is
chemistry-General
physics-
A lift is going up. The total mass of the lift and the passenger is 1000 kg The variation in the speed of the lift is as given in the graph. The tension in the rope pulling the lift at t= 10.5sec will be
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)
A lift is going up. The total mass of the lift and the passenger is 1000 kg The variation in the speed of the lift is as given in the graph. The tension in the rope pulling the lift at t= 10.5sec will be
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xnpZHISCuelGQsLqlYX79MVw9vSa/blH6qKLHstMRzk5IfKsp0MSbDOfGYK8dxHMdxIs0piKvBba/Tlna9Lq1qRdqtlnRSGekk09KNJ6Srj3vNhh7XlWS8L+mUCi0VX714QfrxIUnqcUNZkYwKq2Ri8IkXARdXjuM4jnPxeM3TgmFKkFxUSUlmcpItjsrQ2KSMjE3YFGBBxUOv25H9cln29/alVmtIIpmxvQILubSM5OJSzMYknSS3lX2o4ziO4zhOZDk1uUKiz3gyJclsTlL5Iclks5JOJEQ6bdne2JBPHj+WR48ey4uFJSmX69Lu9CWuuiyTSUguK5JK6pf1kCvHcRzHcSLOKfqCYoNM6smkiixVSmRU7/el22zKztaWPH/2TJ4+fSZLSyuyu1+RWq0prXZLeqRm0OOYQqMcn8Vke5xWqyX1et1Ko9GQpn5eu93+0rGO4ziO4zinwZlOtFm4uwogBNLh4aFUKhWpVqvSUKFUq9X0cVXK5QM5ODiw5xFQiCdEE8Jqb29PXrx4IR988IG8//778vHHH8tnn30ma2tr9nkc4wLLcRzHcZzT5GzFlQofPEyIK8RUKHigBuKqIvv7+yaiEFc8h7iybXH0Pbu7uyauCAqnfPrpp/Z4Y2PDjucYF1iO4ziO45wmZx4ijvBhGg9BFTxTYaqvXC5LqVSygljiNQrH8nh7e1uWlpZMVD19+tTuI6x2dnZMlOG94ngEnOM4juM4zmkQCXH1agHEFeIJTxSiKUzz4bVCOK2srNjzi4uLdh/vFkKKY3gvImt9fd2eR6w5juM4juOcBmcursi6/lUFQYQwIn4KkYS3Cg8UXq7NzU15/vy5LC8vm5eK6ULeQ/qGbDZrxyHMEFhMHfIex3Ecx3Gc0+DMxdVXgVDCg4UXCpGFOApeKzxYCC48WggnjhsbG5OpqSmZmBjkzkqn0+bF4lhEGe91HMdxHMc5DSI5LUhBYKVSqZfeKO4jkghyX1hYkCdPnlhMVrFYlAcPHsibb74pN2/etOzmw8PD9tmIMYrHXDmO4ziOc1pExnMVRFW4j5gqFAoyOTlpBYEV4q2ePXtm4orYKsTUr371K/nlL39pIuvatWsyPj4umUxG4p7S3XEcx3GcU+Y17y34zSCWiJn6v//3/8pvf/tbm8q7cuWKCSXEFF4qpvb4inijeH11dVX+8R//0eKt3njjDfnFL34hf/VXfyVDQ0M2hcgxTBcSp8VnzM/Pm+hCcH3O0Sn3e9JtN6XbakinWZNmqyfNjkirF5d+gmzyeUln0pJJJSWbiks6cSxFPJet35Z+ty2dtv7dRlMa9Ya0u3HpxpLSiaUlmU5LPp9RoZeSVDIuSX07nxA+BY+a7y14NlCnKNRB9rqsNxovF03w+yDMSXprv7PjRJXY5zYpmUxKBpujtpDBZYhfdRzn9DlzcYUn6r333pM///nPFls1MzMjP/rRj8xzxbQfCUS5JfUCxyKcWB3IsYirn/zkJ/Luu++aFwtBxfEh+J34q6tXr8r9+/ctLmsApzso/W5LWtV9aexvyuHOhuweNKVUi0m5lZBudkSGpuZkWD9jbHhIZodTMpxNvBRG0lMV1qlKt1GWw4Oy7O7syvbmnlT0vY1YQRrxYcnpe+fmx2RivCDDQxnJaV+d1LeGbXxcXJ0dXHvqEIshqF9bm5uyor8BCWwTiYTVPzqrM2wejvMX+Vw8DRb0jI2NyrwOUIk/pf7aIMEFluOcOmcqrvASIIYePnxomdURW0wBIobo4FgtGFYMkseKVYJ0hnxlxBLi6u2335Z79+6ZR+vRo0fmCQM8VYgUpgnv3r1rQmsAp0sMVk967UOplzaksvZMdpeeyOr2oawcxGWzlpT20LSM3Hggk7PzcnVmTO5N52SmqMbK7JR+hgozae5I62BD9ra0Y15ak+fP1lWcpaQaH5daakqGZ2bl/ptX5NrVCZkaH5JiQiSr79cbw8XV2cG1rx0eWv1iVSmrTx8+fCTVSkWFVdI6Kkb/Lq6cqEMVpZYOF4s6mJuXt95+S65fv271Nwgsx3FOlzMVV9bBqVgKuap4PDIyYt4mRlvBa4Vwevz4sWxtbZm3gSB2PFy3bt2yMjc3Z5+BuCLhKMKM1xEpvIah4T0DOF1WD7al16pIZXNVdheeytbTT2VtpyJrhz3Zbiaknp2R5MybMjF3TW7OT8lPbg7LjcmMJGwUiDCrS3d/UWrbC7K9sS4vlkvy6eKB7DfS0oyPSCc1JmNq6O6+c0OuXp+RmclhGUuJ5I+8V8ClN3GlBQHJNObt4+JKz4HnnJMHIV9SIU69o+48+eyJbZ9EfURYjYwMS16FLb+RCywnqlA3qcvNZstiVK/qYPJnP/+ZDVB5jP3AC+s4zulypuKKP41YYroPIcVjRlvEVyGuiKFiio/YKzxSISaGVAvEWOG9wiOFcMIDgfjiGKCDxLgg1nCRfy5S9HT7bT3zhnSbKt42d2R7YV3Wn67KYaMsjXhLatKRvd6wbLWvSaY4K9euTMuv35qWu1cKkjDXVVc69YocLn8k+0ufyFZpXxYOUvK8OSndfkryibgMJ2MyMq7f79ZNGZ2d1u85LONpkaIqK2KvAh999JF8hLhSAcl3vHPntszMzpnXCnHFuTonD7F5bBaO15QFEkuLSyZwgTrF9adeIfgdJ5r0pdftWcjE1va2eakYmP30Zz+VN95807z32D/soOM4p8uZiytKyGUFuLDDSAshxfMhZxXH0dmFYxAeITYGEYbXIXwOzyHUEGF0kp+LlCCuatJtVeRge1+2lnZl48WOtDt70k8cSKtfl816Vp6Wr0gsO2Pi6l/8ZF7euDGi4orL1ZHWYVn2P/mdbD/5SNZ3K7LYHpOF1F1JJNIykejKdKIpIyqoMtdvy9D0jN2fysSkkND3d9t6Hl09p7o80s79k8ePbWoqm83IjRs3zGvF9OjExKQUigVJp/Q80ynzyDk/DOobdYT6hLB6/49/silBppx5DlE+o9efuBVElomrM2shjvM16ACNuozXau9oj9WW1msGnG+9/ba88cYDmyLEg4/I8rgrxzldzlRcfRN0ahiOgct7IK645TGGIhgLvn4wMogx7oeAZDxBiCs8YV8UVx3zXBFzVdk/kL2NA9lZ35f24aa0m1tSb5Rl7TAjn1aui+Tn5NrVWflXKq7evDms4orOtiXNyp7sfPgbWXv0vqyqQFvojstC/oEkE1kVVz2ZjrdkbHxU8rfuS3FuTkbHRmQ2H5Oc/u1amc2od7VD3zLvCdv4EKjPd8QYYiAZcRb1e3OfBKnjE+M+Av2BUDcQ6IhwvKV4DN//0/u28rRycGCrA7neV69eMZE7Pj5hdcpxIofaP7ORKqg2dWDGQIEQirQOKG/cvCF37tyx+M0bN2/KFRVZLq4c53SJrLiiU0NMhWlBPAsYDx7zlTEW3FKOCzG8WogqxAmeB0ZtiBM8EgM4XYoKsV5T2o2qNOsVqatY2l16LpvPn8vW6qasNYZkJf8jSU3ekBvX5uRv3p6SN67kVFypMOs1pHFQko33fyNLH/5BlvX454cJeRGblnasINlETgpaplRUXf3RmzJ365rMzYzJlUJM4rW6LDz9TD788wdaPpSSiqq6dvacV1xF4VA+bx43hBadPakpfvbzn8vb77xtsWjO94e6Qh1CyLI6kAD2x48fyc72jvT6g9WlpO4gGS2d0+TklHkYI9pEnMuMiSsGC01ZXlqW9373O1lZWZWmPmZAid3AZrz9zju24MdxnNMlsuKK1Ap0hHgYiLciHoa4KrwOiKlXR2J4JBBXeK1CwHsoGJoven2OTrnfkV73UEVWRbrtPVn/9FNZ/PNnsvJsVdbqBdme/JlkZm7Jjetz8s/enJT7c1kVV20VV3Wpl/U7/ekfZPGD38vS8po8L3fkRW9Ear28xFVgpWJFmbpyXe788l25cf+WXJuflJuj+p0PqvLoww/kH37zf+Uf/+EfzSMHg3MS/f5JOwdEIudz/cYN+X/+3/9X/uqv/1ru3r1jxzrfD6YDmX5lgcQqgewLC7K+sW45rnLZnMywulQFLF4rRv1MzQZvqONEiVhcB5cqrhiAIq5+p+IKLzgLerCdDC5//JMfy09/+lMTWAzWqMfuwXKc0yGy4gojwTY3TJmFFAx4dxAccHxaEOg4EShMB2JYCOwMqwXx+HxBXPUJUu4MPFfNuhoo/ezagZQ3lmR3VcvGlqyXk7LUvi7J4rxcvTYnf/3jK3LvBtOCXRNXzYMdWf3T/5WlP/9Rltd3ZLGVk5XMNel0E5LR7zjUbkhxYkZG3/mlTN66J7PzM3JvIiZDnbqsLjyTx48eyscfP5Sd7W0LSK3XBvmV+J7ZXFYyGRVy+nhufk5+/OOfyIM3HphXxfluUD+CGEfIEl/17OlTE1Z0QvFEXDLpjBS1zuDhtIUEWhDloc5EtIk4lxjqM/USu8fg81MdGC4tLsr62rqsrCzbMQ/eeFPeUWHF1mDF4aLZRkqwnY7jvD4S/0M5uh8pMBjkvmI1HcGadIQYEjwJxwtiK9xibBAkTAvSMeLB4vZLMVfkueo3pd9VkVRvSKXclN1SWz+/I4lsX9LFlPQSaansicRbMRlOJ+XK7LCMj+clTkC7irNOqy7VjWWp7mxJrS1SH5qX9sy7UihqJ53pynx8V0ZzMemNXpF+bkJimYKMZWOiHy2ZJN61gsX0ZHM5Sep3TiVTFu9z/cZ1uXHjpty+c1vu3b9nLv2rV6/Za0wXOt+dUFcQsXRAjPAXFxZt0QNezWvXueY35IqKcAQW04OkYQj5geiMvHiJUjleLwknIEdeVu0DdTYkUh4aKlg9xh5iFyme98pxTofIiiumbxBWH3zwgQUcI45CLBJGAgNxvATDcTyIHXHF7RfEFV4IAtqlIf12TWrVmuxt12V7vSm9WFcyI3HJjqWk04tJabku/VpXhlJJmZ8ryuh4TmVZX7r6GWx3U9takfp+SRq9pDSLN6Q9+xMp5nMylajKlf6a5FVI1QrXpZWblLiKq4lc3MpIcci8I3jUMIyIRiBonYSnpGO4d/++rfpheorOnnMPRtX59uC1YsqY6ROmlV88e67i6rnltxobH5MHb7whd/SaI674TfB6Ep9HfXKcqINNwLZRb/NHcaW7pZINJLAZQUyx2hjbSOGx4zivl8iKK4KOEVVsaYNHCtFBgk0yrjNlc3wKJ5QQY8V94mXw9iCwEFsYGSM28DxJrC29Tl1q5bKUNzaltLgolfKG7FdKsrlblpXNhmzsxKWlwimdERVFVUn39mXvsCVbh6IlJo3ytvTre9LtdeSwG5edmkq2vR3paGnq6LEeL0hr/Jakx7TTHi3KTCFu3qvMUaIrOnA6fKYGmbLCSJrnRL/3iAoqvj/HhBGq893BY8VKwPW1NVnQ33hjfUMq2vEktIO5fv2G1Sumj0dHR2xfNjoev9bOuUTrLasHw6If6nJLBxUILWwLU4N4sl7aQsdxXhuRFVe4tpkaZKUgU3vEDpB1GA8DcVRBSL1aECfHk+cdd4sPOJoWjHWl32lK/WBPqhsrcrDyTPZ2NmSjtC/Lmweytq/foT8qsVxeR4Q9mZANSTR3ZKeekI1mTra0JDoVyfUrqtdIFVGXjU39rNKOHFZqUqnHpZmbkuz8DRmdUSE4MSTTQ0wL9rVjV7HEt+j1TDyylPpARR7TgzYCPfrOFGIknO8PHQ31iO2TSBZK7B55wyZUfNtU4JWrJma51vwmJqtcXDnnEAuP0BI8+Xhsw4IgvFoTR+lcghffBxGO8/qIrH8YUYHXCbGEmAreqK/yWB0vHMM0GlM7fEbw/HyO3rfHOnqLH7nM9W4m2VGR1JF2syf1uo4AexnJIHQmhiU3nJV4rC0d0jZoZ13XYxrdlMSyI5Ibn5LixKSMFLMyEm9IPt7Rv5uR3tCkxIrTMqTGbGwoKaPZmGT5k27QXjuM2hGuTLfiEcQ7SKAvXiumB+lgmJKlXjFlTPJWqydaF1xYOecV6jCpXBhkkgS3UCia2EJgkWj0oHxgXizaAO2DduI4zushsp6rkOMKA0BniGgK03tfN00WOlWC2xm18RiDE0TWl+D4dkf6na5KLv2XG5ZEYULSxQkZnpiVmStXZXZqTGYncjJdiEle/74UZiU+NCHZIRV++nB0KC7ZTE7iqZzEElkpDI/K6OS0jEzPy9SVeblybVpmVKBNFDJSUHGV1v47cfTV+X6shGTbHjx0KT03pgI5X86V4p6r7wfCio6EUTtTgsRZcX94ZNhWYN68ectSL7CHIELcR/HOeYeBIiUsfCGVDauuyzq4YJCHVzydzkhSR5N4r7488HQc56SIbCoGOkZEBx0i3geMAMYAcRUC2zEkwCkcL2H1IFM9GBSEGVNtnzOYGuz3O9JpNqRdq0rrsCK1Rkdq7Zg0unqECqVUnq1n9O8l+jIUq0sy1pd2PC/tRE568Yxk401J92vSbzWkwarDalNavZh0Y2npJtSIZdnfkGlFPTadlNSRsLLtCfkGKgRt4+aPPrK9BVnxQwD7y42bteS+8L2dbwO/P3WG6Vbyoy0uLcrjR4+lvF8WAtiZYn7r7bfMw0mdCtMkjnNRwFvLRuQP1bYwsKCukzNvdm7OVsheuTrI/RdsqOM4J0tkxRUxV6wYxLNDcDudJd4Ivi6eBgTWq+IKggijw0RYsWkz0z94gb4Ix+v7cI/3SCbaVkHGNjoqoEiDFUtIykZ3jAZVFKkYQxP1Y3F9lz6hfydm97rS1868p2Ku02lLr4+4Sqr4StlKwFQyLklVUxZnpR9wfJzo4urk6elvwR5r1BlSLrAqcHt7W7a3tq2OPHjzDXn7rbfl/oP7VkfwcPb0ed6HIKdO8XxYaeU4UYY6TR2uqX2k/sbUPg0Vhuw56j+xhqQdoX7jeQ/pXu4/eGD38Yy798pxTp7IiqsQhEzSR7wPiK0QK4BH6ri4Ak4DIxFitfBWIU6IP/hyhvZXOfJk9frSVWGlf8I+iwST8aPg82/CLiErENkq5Uhy9VScYbPwUgVP1au4uDpZEMp0KuREY6EA15a6g1eRejGuQvvmrZu2vQ11gutPvSLI3Yp2UNQrAty/7O10nOiBl5aYquWlJRuAJpMpG0zmh/JmQ9nmibawtbE5SM/A5vBa/9lSi/hVbKlPDzrOyRP5JKK4th89emSJRBcXF80TgUfr5TYmRyWkbcAdzggOTxUiizKINfimqR8MC0vwVUxREiqsVLh9G2EFGCbeS0C0fcaRt+ubhBUgyjzm6uRALOG1QiRxXT/+6GMVrWtWH0jh8QZZ7lVUjes1zminQmdU2imZV4vj6KDogOhsCHT/fD9Kx4ke2A/q9rbaDzYhX1AbyYbwbN5M3cXzym0ul5W93T1ZU/tYLh+YLWS3B+wLx7i4cpyT53PXT8TAA8GIDBGF+MBrhQHAMFAwCsEwHC/heUTJ9zIceuhALB09/k7Ym8O9byXMnJODaeOQwoMOh4Be6hF1YWJywlYITh3zSLVbKsRqtZeBvxs6umcKEaHbaQ+2WXKcKMOAAk8tNhLvNwPMstpN2gJ2klir2ZlZW8jBgJH2QP1m2hz7Sv3H++U4zskSWXEVZisxCHhzfv7zn8t//I//Uf77f//v8t/+23+Tv/u7v5P/8l/+y8vyX//rf7Xbv/3bv5Vf/epXNvVDvitGbsenD52LCx4rvJhPnjyR5eUV61xm52bl2vVrNgWCqOK5hIruAELavJXc4qm0uoJIHrzuOFHH6rDW24HHfJAEl8LAkvrOFlsh9pRbQIixbysDEQSX4zgnS2RVB0YCzxMxMBiEN954Q375y1/K3/zN31j59a9//aWCqEKEcSyxVkyvYVxcXF1cEOEUgtIZkRNbwhQxnQZ1Z3pq2joVhDbiikUK1gHx76gDSrE0PZO2qULeg6fL85E55wHqcTyesHqby+ZtMMk+pcGLT10mlpMBKjGctAMGE0ybk6IEjy2zAo7jnCyRVR0YBmICwojr+vXrtv0N25WwmXG4fbXcunXLjh8khxxkOKcTdS4mTGnQOVSrFdnbG2Sj3tnesdgp6s9gUcOsbSeEeKJembiKq7BKJiSbydoqquHhEet4mEbJ53Nf8G45TlShHh9fhEEdpt6zC0EQV/a61msGnEyPk+dqt7SrAmvLbmuHNZtepC2FGQPHcX4YkRVXGAgE1bvvvmsFw2CeBzUW8HWCCYNiUz86cgsucufi0m61Bmk71tdlY2OwoIE4EjxPrA6cm5+31ZfFQvELHkzqBaN8Nm+em5+TW7dvyZtvvWWineSiCHPHiTLB8zoyOmJbg7374x/ZZu/UZxNY6cHOA3bMyKhNkdMWqPfEGbKQg02eDyoHtqKWOC1EluM4P5zIrhZkFEVDp0Oko0Mw8RxZ2zEC3GelDPdDwYNBcCerwLhlFIbYYuSGgYkafD9fLfj9oX4ckoV9e9umAkm7sL+3b5vVFoeH5Z52OMRbTepoPZvLamf0udjmlrqVSqess+GaM7qn+HSyc16gHpuXX+sstgPPFXUfm5lMDgaYepB5adm7tNsbpG5YWV6x9oONYTU1xwexxuc5jvPDiGyeKzwQdJikXsAY0PBD438ZF3Os8wunwet0jHSYIQ0DBieKngiMm+e5+u6E37rVbKkw3ZSFhQX59JNPrc6YINd6Mjk1JT/+8Y8tK/Xo2OhXdhh98pvpfz1ylHFXPzfUMxdWznmBeku9D+0i1OFQ7HktDDg3dSBHapv3fv97WxHLVCJpSlhJS/Z2wjAKxW/KCeg4zrchsuIKLwTC4+HDh5bfihgajAMeqzC6wnAEMC48j9eBHC7EX2E0mE5ErEQxIaSLq++HdSS9vk3/seLp4ccfW2dBUDudBNN6JAm9efOGdh5TllDxeF1xnMsEBp7a32m3ZVcHIM+ePTObw9Sgyi+zm9iat956ywYj4xPj9j7Hcb4/kZ0WJL8VwuP32mm+99578pEag1AYeSG6SDAaCsd+8skn5uliehAXOZ6r4PbGmxU10LU+Lfjd4JohrpgSPqwe2oqnTz/9VP70pz/Za4jTBw8eyJ07dywWBY8lnYfjXFZeDit0gBE8XAw2uE8bYmB3WDu0gQgxiNhNx3F+GJEVV4gNlglziyHAfc0qQLxRN3R09WrBY0EhCJ4cVxRyGxFDw8pBF1cXA64ZeXmoGwhpOoZw/aZnZizOivrAb096BYSVT/E5zgDaD9Am2jpAqVaqZoPwak3NTMuwCisGJLyO3XWPr+N8PyI7LUiHGfYWJJaGOCumAmn0oeEDt5wCAe14M3iNKUBiByhhj0GfFrwY8DsjpKgXz7R+kHrhoHxgU8asDGRq487dOyaugrCifBNfagJatZgucZzzwqt1+KtEEcdgIy11yeGhLC4syCePH8sH739g4RY/+9lP5e69e3JVB7AM8rCZr4ZfOI7z7YisuGJ5PSMqOk86VBo7nhw8UHSaxxs8p4A3A6PBsWGlISMwXNyILA9oP/9wvRBRpdKuXbNHjx5ajh68eyxauHL1qm3MjAcTj+Vfgs+j7oRb4rjQVCbKyHYdc4+XE21C/UU0sXG5GsYvDSqO28pQ17GRxLISZvH73/3OVt3ev//AvL5Xrl6Rubl5a1N4f//S4MRxnC8T2WlBDACNGlGEsDLBcTTNh2Bi6iwUHofnKZalWDtc3hsKBidqcI4+Lfjt4Fo1VFiF/Dxs5L2ysmydBDF1t2/fMnFFkkSmgf/ScnI+L4ziSe9B+g5+A9I4EBjP+6NYZxznONTjptbf/d1dG5CGFDSh7iKsjosr7mNXeZ0BKfX+UOt9TwcW7FTQ7fZMgA0NDWwr9sfFleN8dyLbaujcEBeIJjpPGjlGg/JVYBAwHByHOzu8j8/wTvL8w+9bxpu5sWkrSUl+2G4ONmVGkF6/riPuK/MyXPzLwgr4PIRV5aBiebLwHC6oYGNPQrJWk+bBcaIO9ZgpPlbNPn3yRF48f27e/pqKLLz4vP51MOhkwGpxijdv2EBlc3NDFhcWpVRiz0EdaHzD+x3H+XoiK64QRMRZIZQoXzUdeBye53U6W96H9wrj4SOv8wtCOhh3hNCejs43NzZsJSkjdH7f0ZFR81ZRENMkC/1WYlo1Onl+SOdwoCP33d098yCWtGOqVKvS7rSPDnScaGLtQwueVwQV7QJPOB4sPLCIpa8bjAI2lTaDx3dudtb2JKzX6hbjuq+Fz6F94OF1HOe7EVnVcVwsUb5JWAGvIaKCyxvvRZja+ab3OdGGDoIROGKKDgSvFQKL59nehi092Jy5UCxK+mjRw1/8vY/6Gz6jqaNzOpSqCiyS1dKhMP3Ia44TdYizYnqPerurgw92KAiC6C+JK+wqYRTTU1MW48kglrZj04z7ZVuRyzQ84s1xnO+Gu3ScyBI8V3QUiCtG5gThkoIBSMvBRt1klg6pNr6VkNZDyM5O58P0H59drR5aR0LcFeKq1/XpECf60EYYfCCuGByUy/tWf2kztJ1vElcMRBBUE5OTtqPB8MiwZLIZ27GAz2FjZwQWcVnf9DmO43wZF1dOZEH8MApnRI63ijirarViHQfBtuQ9Q1gRc/Vt4qxeJRYfeEcTeDlTgw2/v42X1HGiAvUUbz11NxT2EGQLqL9Uh8P7CKNgEQiZ2WlLCK7Dw5q1ua2jaUaPvXKc74aLKyeyMCJnu44nT57I48ePzbtULBRtaxtE1cjoqG1tw3Lx7yqGOJ6OhWmRCe1UEGphGfoYS9D1NceJMtR4RFRhaMjipm7fuSM3bt606fJsLmcDjm8bb4rAmp6esc/hlraHp5hCDBZTj8GT7F4sx/nLXFhxhQFwI3C+IdaDIHZWQD198tSm79jx38TV7Ixtb8MoG2/T9xVXQ4UhHa2Py4x+3tVrV01ksdI0lfYUGE7E0TocTySsDcxrm0BYXbt+3QYH2W8bf3gEbcF2wZiftylCRNROaUe2t7ctuJ22h+DyWETH+XacS3EVhNNXFYwCBiAEdFJ43jkf8Fvx2zFSZrNupgJXlldkdWVFur2ujI6NmneJDbkJYmfEzej8+4grRBkd08jIsHUseMMI7C0OF7/XNKPjnDbUfRINk3CYQYcNDkZGrF18F88Vx46OjdnnTE5O2FQ5Cz3Y/cBiubQQexU8WI7jfDPnUlzRMX5dATpnYnUoLOH3eIHzA2KYUTIjZmI+bHubg/IgzmpoyEQV23MQhMvo/Nt2Hq9CXSG2ihE7KR1I3UEcF2KLjonXHCfqUI8RRuTzY4qbOpwhabI+l/gOgw7qO+2A9zPdjsBiIMNnl/fLlrR3fX3dBJbbU8f5y0RWXB33QuGOZooIsWQZhbXg1aCwuivcstqLURYxAtzned7HZzjRh9+c35rfcn1tzdIuMCXByj1ED9MdeJYQWCGx7LftPL6KILDoQBBZofD4h3yu45wmDDCotwwKjnusYt9BXHEc70NgkYiXNsauGLQ77OizZ89kbXXF2iabPDuO881Edm9BOlk8GEFUUbjP82HkdPyr8xyPg5HA2DCaYxUMK2AwGlGD7+x7Cw7gt+t2ulKpVsxj9emnn9pIuWJLzMuSSWfkxz/9ibz51puWggFPE9fv+3qujvNVTcDFlXOeeLUOf9/6a8l6dUDDxuhLi4t23wLa9fm7d+/K2++8YzaKwU2wt95WHOfLRFZc4Z1iasimhzYHW56Qc4VRFFNEQUwFeEwjZ6RF/Awrv4g/QKAwCuP5qOHiagC/I5smDwz7rk1B/PGPf7TfPpVK60i6KDN6TTDuBOxOT0+diKhyHOeL4OXH9tqWUGpzl5aX5Mmnn8ny0rI8eOOB/PKXf2W3TMvTBj1tieN8NZEVV8Ta4Ip++vSpfPbZZ+bJWF5eNoEV4qgoAe7jsZqYmJAHDx7Ir3/9a3njjTfMy0EhliBquLgaQBXEI3lYPTQh/emnn8jf//3f2xTE/Py8vPPuu/Zb4oHEE8lv6QbdcU4ebBJtkYIN/uTxY/ntP/2T/OlPf5I3Hrwhv/7n/1zefvtt2xkhTKP7QMdxvkxkWwWrUnBHMzWEoEI4sckoHqk7d+6YF+PevXtfKjdv3jRPFVOCIfbAiTaIK6Z9g4dyZ6dkniy8jaRF4HenELCLMT8J+JvEjjD1jIijrm2zt+Ax76jjRB3qMeES7IlpST+1DjOVjv00D/93HDszaLHYq1zO2hvTf6QqYWBDDNdBuSzrG+v2d/i7xwe4juN8TmQ9VwsLC/Lee+/J+++/byMoOldbCXO0QuxVzwWnwXN0vhw3Pj5u04O8LwRmRg33XA1+N6YiEFVPPnsiyysrJnJY+o1Avnnrpnmubut1IYCd3x7j/0NhTzaEVfXw0G4trk/vU79YLYUHNIp1xnGOQ9th8c7K8rLVYRuEqt0LiXCT2ma+a3vBLmFLGWSw3dTDjz+WRw8f2gpE7CpCi9mAOzrApZ1EMZ7Vcc6ayIorpgN/85vfmMBiGvBXv/qV3L9/fyA4dFT1qsDiNCiM1hi10WFiXJhGQmTxnqhx2cUVvxfXgN8MYUWc1dLSkv52NfvdZmdmLDEivzuZo8N7XhXW3wc6JUb4bK0zWGVaNkGHoJqbn5PrN27YqN1xokqwd2RR/+jDj6z+slvBrZu3LBccdRnhk/qe3l6C2PnshRcvLMCd3RKwrbFYXK5fvy4//8XPbdo+iiEXjnPWRHbODPGEFwHvBVNDlt9IO1g26mVqkJETj0PhMQ0eDwfJ9MIeWQisk+iMnZOHuA68RUzJ7exsS6k0yGnVU+HDiJis0whMkoUGTuq3DB0TUxuHOkKnY2JKkO9CQC+vOU7UYXDSbAxW+G1taxvaGUxrh1XV1PPvC54q7O/00SBnbHRMuu2u7ZrAYhPyX9FWPLGo43yZyIorPE10rIgl4qh4TIdHY8ZwfB2hU0RUIc7CVJITLTDG9VrNjPTiwoLltUJosVcaeXYYETP6ZlUSv+PrgHgUPFjt9sDb2Wg2pGmxKl2L+XKc8wA7F+DdbzTqVofbnYGwon7/kFrMQIbYKzz/DFwZ8LDBOR4tYq92d0vm+WVj52+yyY5zGYms6mCJL4KK6SFu6fxsdLa1ZYHPxGHRsEPB60BHza0lunPPQyQJI9yu/j5sxLy9vSNLi0uyvbVtoiaXzZnXcWpqWiYnJu33RyCfJC87HLsToxexgk/spV/sZBxkjnMqDOruoNKad5fyA+FzGKSynyexq2Pjg9kAbDMCa7e0Z4H0JG5G3DmO8zmRdunQETMCY+qGuX9SMzx+/FgePXr0pfLw4UN77cmTJ7KysmJxNLwPkeUu62gQfk+8RXiIygdlE8oEzRLPgYhiR39yWhE4WywOW8wIxvxkGdSHEBxPB8JWOrncUYwK3s6Yezud6IMASiaSNgBF+FCIsaLNvBqX+l2xz9b2geeYqXnCMxj4ILZYOYjnivaLwGqqraV9u611nAGJ/6Ec3Y8UjIbodBFUJJUM98l5FfJfffLJJ5b/ClFF4T7H4b2iE8e40FESN3DS3o+TAEOEcbLl05WKpNSQYbwIEOU7R/V7/xBsukILK5vIW8bv+ViFcafTtqD1GzduWnwHU8JDQ/kTWRn4KozwufYIb7LC23NaV4gxwVMWVkRlsq9nOtJxTgLED22p2WxYuAS2gvpL20EIIYpoPz9kcBLEGbeNOjtktOwxU49s6swANpFM2N8c1r+pBx75zxznchPZ4TlGg6lAOmGEFgLEMgYvLVmaBlavUBBax295jdxYITCZz+CznLMHQcPvUakc2LQuwbd7u3sWs4FJRtRcuTJvmfXzKqziJ+6x+hz+XiqZklx+kM/HpiK1gyCupFAsWGyJ40QdYhTxthIXNTc3awt/2NEAbyyi6od4rl6lUBgyEcWCIVbSsiLbQjK0HdOGG/q47fbWcYxzEXPFfH9YKUgCUW4JcmfV4KuFho+hwevzOgyM8/1hOhCxvL6+IS9UCG9vb6kh7pqoYkUSwoYR95AacZuai7/G6qlVghE3HROeQv7upP594kqoOz9ktO84pwUe14zWYdqQxSmq7WMKL9i+k2xDtBUGIfwNbtPplLVpBrEMloh5DSsVHeeyE9lpQUvwqA0VtzMdLSMm8j+xiowSdm3neQqPw/3Q+PFI0HFSfFrw7MHo7u3tm7B68tlnsr+7Z6NcfidWI5EwFJHF45PuGL6KWDwmiXjCvFTkB8rmsp/nBnrd4s5xTgjqKclCLe5KbQa31N/Qhk5qcMln4U3mFkFFsl+mCePahrKZrE1BJvV1piNf1wpfxzkvRDaJKNN6xOQwFYjAwg0djMarxoJTCCWAAQieLzwi3I8aCIvLkEQ0/DaVg4r9pu/9/vd2ziHjM/uU4Ym8eeuWnTMCx3Gc6GGeKh30Eiv5u9/9zuJbmZocH5+wQS/t+Mq1qzbb4DiXmcgOzRn50PGSHJRpQG6Z8gueK+JyQjn+HB4sPFeIKjppPgeh5ZwdBI6zenNza9P2PyNOo37kkRyfGDeDPH9lkOn5InnqHOeigS1lNSLT6NeuX7OBIJ5evO94pLe2t8yrhQiD4wNex7lMnJnqCN4MvDfHS2iMuJiZFmOaDJHFfRoxsQR0wNx+VUFMhfvBNe4xV2cHvylB7MRkkCiUaVCMbzKZsOk/RrisEiReJJ8bbGt0moR6+GpxnPNCqLNmP4/Z0NcFNpV0DNeuXrNBbaFQtMHT6uqqtXO2lSLvFYOq4zbdcS4TZyKuaGw0PKb76GiJreKWOCs64mAsKDROYnVCDBarUr6uELcU4rQYOYXPcM4Gfjt+Z347E1fr6xb0ym+czyOcR83LiMCypeMqnk9LXIW6RT2hftEZ8D2pOzzmNceJOtRj6jD1lvqLRzjUX8pJ2z8GqsRdMdglPpJpfFbX8jfLaoPZEqdcHthi2pS3I+eyciYxVzS4IIRYPUYHTKPF64Q3g44WsUVnTPJQUjFwDEbk6xprOA08VjR8PiMUvF94vaIG53JRY674PTC4ZHLeVmH1wfvvy/Nnz22Ey8g3TAfeuXtH7t69Z7/bafLy+6nQ4zYUvhu/A4HBPkXpRB1sCMKK7WiovwxOLKhd7QZ1OaGPT3rAwt/EFiOeiIn99JNP5B9+8w9mp9lknTY9iJ+ckpHhQawsqxod5zJxJuIKoYRoYp6e+BsaKYaAmBuEBSvH8HD8+c9/lo8//tiCoOkEKbz3VTgFGry5q1WcEXt19+5di9Pi83iM4IoaF1lcYXzZOxCRzHTBP/3TP8mL5y/s97t+47q89dZbFmc1PT2IkXsdyUK/Ca49I/3gMUXkUzIq8hDktgjCA+udiEN7Qlitrqxq/T20RSKTbFVjqRIGoREn3bZCl0Ebx06TY/CP7/3B7HkYzE7PTFusLCl0hkdGzDY7zmXizIYTdG4YhuA9CMKJBhte5zk6PDpARmfhGF4LDTzc8hyfhVCjcCyPjx/rnB5cf7xUG+vrFmvFSsF+v2fpDlhZhIDkFtF72nFWQJ2gLlGv8KLu7+3b1OXu7iD5LK85TtShHjfU3pV0kLqp4oY6XNX6jO3Dlr4O28csAwXRxsbOoyOjtsn6zOyMtWU8WKurK1Iq7VhbwhY4zmXjzMQVIxlGVkwFMmXH7fFRFo2U13Epk4YB7wbBk3ijSBZ6+/ZtGxmFW7xdvE78DisFee9ZdNqXGQx5MOYIXAw92xFR2KKDrOsWYzXNJrDsHVi03/0sFhwcF1eH1UOLFSHT9P7+kbg6EvmOE1VCe2PqfU/FFV4k2hz11zKlvyZxdRw8vSOjI2aXr165ajacgPa11TXZ2VahV62aLaCtve7v4jhR4kzUB50p4odUCQghxBOFaUGeD6MiHtMZ41pmLv/dd9+VX/ziF/LXf/3X8qtf/Up+/etfvyy//OUv5Uc/+pEdN1jBMljWH0ZZzuvn+LXGuG9ubFo+nCefPbHHY6NjMn/linmtmD6wTWaPfqNTBRuvBYPPlGClWpE9FVV0BrulXesQ3HPlnAf6vb4OEJo2MNhc35DtrW3zErfwXJ2C1572S1smnOHGzRuS1sHSfnlflpeWZYvvUhmIq9flRXOcqHKm4oopIUQVc/Q0UIQWnqrgteI5clvhmWLbG+Ko7t2796Vy/HmO5T0hfcNZeUYuIxhQDCmChWkKRtEYe1ZyshKQ1UX8NhMqmPmdz0RYHUdtPQafDorpY7bioXgn4Jwfwqrqrooprb/aBnv9gag6jXrMDAQzD9jbyUlmDQbeaP42g5TSbsniarkfQj4c5zJwZuKKBoh3KeSx4jZkYUdc0WDxWjEFiLDCe4XHI+w/hxBjWil4vnie1/FaUQgGDwLrtIOlLyshzmpxYUGWFhfNG4TBZzqQAH1+FxYX8JvxG5+ZiEHPaWFvwUw6Yx406iL1iPw91EFWWTlO1BkMVFNSHBm2qfYRtY25XN5sHm3sdQ9e+Hz+TrDZUyqwyH/FIIqcW3jT2GyfKUv3BjuXiTMTV3gt6MTo1OhsKcc9TbxOZ4dgCsKKeKrj4ooSBBZCitfJ0M4tj3mNBu8rVV4/tgCh2bRg1pWVFVuiTaA48Bvzu+G5QjAXjoLYX7fh/yb42xb3lxnE9RWLKq5GVVx5nXHOEWYr02mzgUy7Yxvz+ZztU0odPo029lJc5bIm8GZn56ytM3jaKe3Yopbd3ZINvnx60LksnNnw3Do2NQp0ZHRuFIRV8DJxi9jCWCCUuKXj4zk8DeE9ofA8BgZBZh4IPda3v3n9YCgpjEpZ2Ulg7dLikuUoY4qQnDuI3SB4+Y343aPwm1DHqH+FwqCeIfyCt5Ml7Y4TZRBO5I/CxrHyFm/95JQOXnQwQxs7DXFl3+Hob/A9mIGYmZu1wTDJRg/KB+a1KpV2LdDe46+cy0LkVcfxxvtt4Fg6bgwLxYXV6yfEWh1UKhbE/vTpE0u/kEjEbRXRm2+9JTNqbBG7Ufk9+B50QIjwcZtSnnu54pTRN685TtShHjMYuHr1ity6fcvCKIhpJEUC3v/TbG8MVkbHRgf7vV65YoNeVuOS5mS3VLLN+MPqQRdXzkUn8sojeEa+KxgVyncVZ863h98FYUUAO9OB5LXZ2dFR6k5JGvWG5HNDLxckMC0YJcFCnQhT08PFwbQyI3++JyP/4EF1nChDPcb7itd1VkUN03HEDZ6W5+o4QegxWKEt4aWmHeHVNg8WSaNVZNUOP9/Y2XEuKhfOcwXhPd/nvc63B3FlhvPgYLBV0fqGBbTHE3EpFIs6ih2zFUSMpDG6Z7468BXoDDD+qXRKMtmMCa2zGPE7zveF9oSIot6GcIm01t/gtT/N9sbfo+0Q82UeYR2wME2I+Ks36rZTw8bGpu096MHtzkXHexDnB8EIlKXWL168sFVBiCsM6+zc7GDF5sQgzopUDKc9kv428H1elqPOKGrf0XG+iVBnETenLahehTY+EFh524aH2CviGVvNltkItjJjetA9V85Fx8WV873BQBJTQT6rBTWcjEzZlZ+pCWI/ZmdnzLDaQoWjkbTjOBcb2jmrcNmJ4eq1qzZlyWrileUVW0kc9pMFj71yLire2znfC1YGElu1vrZuG7aSdgEDyvQfcVYEsjMtwJRAVOH7Mj2BoT++iTNLxnnNcaJOmJqnPRIsfnxFHnX4LMQLnrNkKmke60FYwITluuP7sJl7eX9fdrYHyYUZnLkXy7mInKm4ouGHQsP7IQUDQ6dI8Q2bXy9cW7bY2NjYkGUSBG5t2zUPS7HJS8aqO1JiEP8RRagbGPUgrOiYmNJEJLrBd84L1GPanm0+rqLlQAv1+SxtoImrxGD7MgZYFGwBAy3a1UHlwGzH1ubmYB9Pj79yLiBnJq5o+DQ0jACdGQaB0df3KTRQCh0khefoNGm0/A0XWSdDuI5c14ODsmxubgzc/KWSZWMmmBZDOkeG/KNVSyQ4jCKcC+dh4qpW/7xzKh/YYxdXznmAesyA8kAHBuSY29M6jP07a9vH1CBxVyTmZcA1OjLYSxSw0YirTRdXzgUmpo3v1FsffzJ4DIKoQmCF0dZxjgdnft1X5XkaKO992ah1pMTIidEShUDLqMH3/fDDD+Xjjz6StdVVyen3ZANUy0Y/PW0B4bkjg3TWcI2D4GAp9aNHj+Tx48ey8GJBjXvTrjWC6rZ+/x/9+McWzBrlsHDOBcPO1ATCCk8cGzjnsjlLeEqunkKxcHS040QTbGZJBzdPnzyxepxOpWX+ymBwg92zeMczTCuCXSZs4NNPPpWHH39swso8W/qd+J7vvPuueboRYI5zkTgTcYWowEvAqhGCG8ngyy0iC2MRBNVxYRX4uq8btlYYZCset5gfOkkbNR0FVUeN8ySu+K7mDdTfh9/u/fff1+/9sa0QHNXR6YM33pBr16+boSTmCrEFX/UbRgHqCucR6t5uSYve8r2pO3fu3rF65DhRBVuI3VtdWZE//uEPVn8zmazcf3Bfbty6ZdtMWWqGM/Qe086Ybt+0EIJl83TjsUJwsVXZP/+bfy53790zWxfFAbDjfF/OZFoQo4CIwmvFaIvVZqw0o+ENcqFs2N50i4uL8uzZM3n69OnLpf68bjmVjtzKlHA876fwGOGGZwJBgDBwfhgYSX4vRslca4LZub7sxo+nEOM4q8YSQRKMeVSFFVAHOSdG1u3W0dS0invOsd1u2TSn45wHOtY2G3JYPbQBKoKrp89h985g7PwFsAEMbMl5R9Z2gttJ1UA7Y3AzmIovm0fLvre3O+eCcKYxV3RsNCgMAiKLKZrgvaLxIZAQSogpBBgNkUYYphCPF57jvXT43CKqeJ4O9KwNzEWA61itVE3cIngRWVzXYnHYkoSy3JptY/D84PKPsrAK8B1DYTp5UI7yXJ2D7+848MX6e5Sr7ej5s4bvgJgi9x37HmIjWDmIlwrbj1erpLadeDFsuNtq56Jw5qkYaExBZNGBYxzwhNBBI5AQWEzdIKo4jsbKSIhjWPZPZ85tiKsKBuXVW+eH0e10pXxQVmH1XD768CPb6iabzVgem6ukXZiYMAPK78BvGHWoFQn9nhh+zoOs0qEuUb/Owzk4DvYNW0m9ZQEJdZj6iy0MQussCd8Pe02IxriWsdFRGRkZtu/IvoNhFoJBsXuunIvCmfUgg04ta8aA4HOmk4iRYh6eYGKmmXiemAEKDZPnWOIfCrE94T7v4b18Dg2ZRhq8Wj4a+n4cF74IK3a23ziakuX5ETWSxCdx/S0L+5EoOQ+C1oy+1kHqFoHr1C9G1tSf4H1znChDHaZgR8cnx2VmdsZiNRnksErXBpsRGCRgEyjYBwQgnm42Sud7MtOwubVlsxPMXITZBsc57yT+h3J0/1Sh4w6jmjCyYdNcRBJB0XR6vI6BoOO7f/++3LlzxzJ/B/HFVBTv4XUaKp0iJbyXz+U+HT8GKGpwDUJwJ9OiKf2+nAvnwEiUggg9KxCouOqZAiRZKPFsS8vLFiMxPTNtv8XNmzfVqM/a9T9PHh/kdqiDqWTKvnueuqKCnvrCtXeB5ZwHBoPHmNVZUh/gHQq2I3iwooKJp07X2h32hRkJUp/0+r0vhBWcl0Ga43wdZyaugvihU6PQqBBLwXPFc+E4Vvs9ePDAlvnjKUFYIarwMlAQJBgThFR4H6KA9/Icx3AbNaIurvBOYfzwVq2urtjGzHxfpmuZCkTs3rp1y34LrruNlM+RQQx1kAB86kderzvXHqHPc+dFKDqXF+rwS6+QDnAYGFCH00ftMWoiBZsXj8WtfeERZxUhXnG8VXi0RnVwg0eZdsn3d5zzypn0HjR2RAOdGFN/CCpE0/Xr160grkhHgIhiqpBbvFmvvs77ghgLU4IYFj6bhovA4tbn8b87GDuuHeIKlz2B7MS/AWIXQTXY2mLypQg8T2IkCCs6pbx+f6YrELbUR+qlG3bnPEA9RqiENokNpD4Hr1WUhBVksqwcHDWbzWAaIdVqDTLMWxJUtTHYHDxcjnOeOdPekIZPh4whYNqOEpbxM8LBc4KXhE6e+98EqwtZUUg8EAHwPOY9A5e5811AjAZhRfZ18tOQh4uAUwzi22+/bVOCTEEgUCBqRtxxnOiRiCfMxjOAQRBOT+sAbWLcBjnYGtLt4B0nFstxzjNn7mqgU2aEhcCiow7eDzr4UBjF0NhIxcDSXTr544XnEVXLy4MkdcQI8T4+j+Id/3cjTAcOVmru2LRleb+sr/Qt1ookhVeuzJuX8KJcW0S4C3HnvBLqb9TrMPYCm4zAYhqTGQdmJkh4Wj44sISo7DmIJyuci7dL5zxyZuKKRhYK4iqU0FlznwZILAyCCwGFeCKh6KeffvqyfPLJJ1Y+++wzSzTKFBZCLMQgMEIK3hXnmwlGDG8h2Z7ZO3Bra1Oqej15hd9iamrSVmmSeoFre56mAl+F8z0u4ilMh7oxd84TX1WPeS6K9Rj7js1IptjYeciEFQKLaflGvS5b29s2A8EgmrAO2iPn4zjnjTMLaH+VILQCeE+YmqJx0dkz1YfL+MmTJ18oiCoKe92R0Z3lvHT6BFoTp0XMFkGeeMaiBsYvSgHt4fqzKfOLFwuyoGJ1bXXNplj5LsRJsD0PcW8hrgNDefx3O4+Ejuh4Z/RqfXScqHK8/lJCvX31Niocb1vhFlvPzg+sRM5msjIyMipj42Mv7ctFsDPO5SKybocQpEngOh4oBMif//xn+fu//3v5P//n/8j//t//W/7X//pf8j//5/+029/97nfm1WIqi4bIaIj8SwR4hjgu5+vBKIcRYuUoE/viwqKJP4zdvAortq9gQ2aE1XlcHXiccL6Id6adMe6IeIrH6jnnhVCPqb94eqi/1Geei7rHhxhb7AmpXLDT2G3CPBgg7+3u2X6fbOnD+Xh7dM4bkfFcfR00OIwERoNbHuMxoSCa6OSZrgpCjEDre/fuWeoGgq95LapxVxiMqHiu2F9vENdWtgD258+fyc72jomPuflZuXr9mgqseXPjF4eL538kqbaaDgljjgFnGgJhXqvX7HcJ8XqOE2XYA9MScaodIdaUgRGVO9Td4PWJInwvCjaGKUG+P0KKzaeTyYSFIjCAy2TUzqsQi+p5OM5XEWlxRWOicWEoQgAkIorl8hSWHodUDSSzRFSFZKPEBXE874tqo4ySuEJkEGeFa57pV5KGEtROvhzyi1my0JlZu/5pNXbn3UXf7/VNSCGq2IIDIclvQUJD6gvXHuHuOFGGTZv3dVDAfp/Em1bKakfSg9XXwX5Sogb2Iwg/xFUY6DCAjsXi5oXD/mSPYmexiVE8D8f5OiIrrmh4NCbEBTFUuI0RURQECI/D1B85svBUvfXWWyauiLVCfEVZWEGUxFW5fGArLl88f24LB1hAgNEbGR6WN958U27dum1Clk1Xz7uwgm6ve5RqYneQwkM7ppXVVYsvYxqUeA/qneNEFexHp90x+/HxRx+Zxxk7wrQ9cabB+xplDyy2hPPA1tg0pt5nlmJne1u29bywhWxLxVZbp2ULHeckiKzyoMHhIqah0QniMqbgAkc04bViGhAPFYWOnxEO3gYaIcIsysIqCmDMKIwSKwdlWwL9XMUVgi+RiMvk5IRcuXrFpldtC6Fc9kIIqwDnbgsntI416g2pad2q12s2ijZD7zgRp6//qMN4fbCTrOzFZiJWsKHnAcQfA0ns+awOlgk7YPCzu7dn3vQ9HegRh9VqDhY4nZfzci43kVUfIdcSozJWBRLIThD7b37zG5u24nUaZUg+ikHhWPJc4YHBA0FDdL4aDFRPr09ThRWGC+HKdWPFJVNleP5YcclUK3uVJYiBuGBGLa5CkdgOplHIHE18Hl6rVCpprzlO5Dmqw9jAXD5vdTiVGnjsz8tAiO9KTBXpXWZmBjMTudzAa8xgurRT0oHfloqsPRv4uLhyzgORFVd4rYLHCsFETAGrARFWiAEMB14qpm4Y9fCY0RtByUxp0SgRXL7y66vhmgQBi/EiWejubsmWQiO6EFdzOoq02LWRQSqLi+S1gjjTzum0dkw5q0MhtsPiVTy+wzkHYMBpmwWtu7RZPMy5HAHh52fzY74nsxF897GxcZsCxHuFfUdMYdPxprOCEJvuXmXnPBBpcUX8APmtaFi4h3nMFBaiADAgjNToGJkGpOFxTMjkjnDgeG+MX4ZrwvXCcFlW5K1Nqej14joiMtihnqlWpl8RsAm91hdJXGHQ6ZQ4txEVjxOTg2nmwfSyismkx3c40Yb2GNN6zOCAWFTiT6nDiCyECW35PLRZviO2PEwPsmiGfUsJR+Db7+/tyvr6mmzvbJs99xkJ5zwQWXEVRiysgCHgGEOB0cBljOHA82LuZL1Pg2Tkg+gK3isEGcIMLxdCzfkiXL+Giqv19Q3LcL+yvGzXiVxWJAplsQBGjqkGRMhFmybDoCPMqU+zc3O2GpLA/Tt379q5M03oOFEn2EWm7999911b1EOyX2xiEFjniaQOakZHRuXmjRvy4P59tT85G1gvvFiw/U3rat8t7uroeMeJKpEVVzQgPCtM79Hp26oRHcmE3FVAB4nxwIggtHgPIxsEFYKMKUU8WcHT5Xw+Hch13d/fM4+VZUbWa4a3huzrN2/dNI9VEK3nZXrhu8D5BM8V0xETWq8+91wV3XPlnAvMc5XLmueKxSezc597rsLU4Hkiqfa8UCzYgOf6zRvWFrH/zEawspewhcNq1WJFPdzDiTKRbXlBONEB0skjqvAo0OkjrkKHTwkG5LggC1ODeLLcjfw5XIsw3bqxvmH5nbheVIXhkWG5puKK1BZ4rTDQF5lQx+iEqGfk7yK4nX3PYvGLJSadiwm11OwkizK0vR4XVdTv80Y8ER94lMfHTDCOjqkdymbtRGu1Q4sN3dnRQfOBD5qdaBNZcYVxwGsS5uARVri7uQ0J5TgmdI7cJ46IUQ5iIQS2E3fljfBzyOiM6GRlIFvcILJYWclqQIJJb926KddvXLfRL8Hel4Eg0kNxnPPGRanD2HEWlGDzp1RcYZPoA/BoMVAm3IOCbfdBsxNlIi2uGIUhpEKsFbc0NLwMCCnishAGCKjjhUbI9CCvI6zcfTyYDqRwTSwT++ray+lAxOlwsWjeQWKuxscnZEivO887juOcFghD7Du2H3tPegZSwWD3seWk28Hjjg3DljlOVIm0uKJzx3tFg8MbRYPC08IthRQNjx49kt///ve2cTMbO5OyAcFAw8St7Bs3D4QVHj22drFM7Gqc1tZWLQUDU2AEc9+8dUtmZmc+v1bnePTrOM75hz5gbHTUBnykhGF6kDja9Y017Qe2rE/AtuHB8gG0EzUiK66Y7qOjx0XMSAZPFNNZNC5cwpZCYHXVEowiqh4+fCgvXrywkQ0jnJDB3cXVIO2CXb+DsgX6E8Re0lsCQ/O5vNy4eUPLdQvmfumtugTGKnjzuD4UjDQ5vrjvxto5LwSBEUqov+e9DjOoZpBMOAg59/BeMTNBYDv9AINoZinwYHHOjhMlIi2uEFZMC9KoGMWY96VetxELDctGMevrthdeiB3iOI5HXFFYbXLZp7cQm4eHVRNW6xvrsqPXjW0yev2eXp+CjQrnZudslIiQhfMct/FtwSC3W4MtljDS1UrF6hbbbLixds4DCKhBnGnVbOLxXIDnfZCADQqrxKenibUtmnikje7vl01klfWW8+12Pa7WiRaR3bg5GAWEEQXRBBiM0BmG2CoMCStMCHZnyxY2cWYDZxolS+15fxTFAudIcCbeNozi69q4mZHd5vpgU2amTXd3StLv9WV4uCg3bt6Uu3fvvky9ENVrddKEesRImE6J7M87O9tmuPld8HaexLV3nNcJ9Zg6vLqyah7pg4OK7TcY2jF2M9jO80hCvzvn0e32jtrprj1P22QAjqVK6/1sbpCPz3GiQmRbHcYBr1NIwRDipxAeNDZGa9zi3eJ5BNWvf/1r+Vf/6l/JL37xC5sSjLKwet0gEIL3BRGKZ+/F8xfy7MlTExVcM9IukNUZ1zviNKnG6bJcKxNXjaYZ7O2tbYvfe/7suW2vtFPa8WBZJ/LQxtngmIHZwsKCfPrpZ7ZFWPDiYyODDTiPYIvYGSJ9tLBpsOBmXgego3peXVleXrKN5ksquBp6vo4TJSIrrjAceKTwTIW8THh4iLUKnipEAXFCCISQ/BGxhaCihHQNl0lcBVGFgCI2bVnFAoZ3a3tLamqAuC4YJ5INXr12zUQrIpS0C+d5hPt9YITPtaJ0O12rVx297ekomevoOJFHqyleaKu7bepvx6bOqL+hnHfI2k6iVLzr5OCb0YEzXvZ6vWELm8jVt6UDJO4jKmnLjnPWRLY3xUgEUYU3gYB1VgYiFPAqhEBHVroxFchjRmohvxXHXLYOMhhTrh3TW4jRjz/+WD7+6CPZ3NxQ8RQzw4THiulADNWkitKsClWE6GUCwY2YZLWkbd6sxputfnIqzpkSjMcul9B0zh/U4YF3J2HbxOSH8jZQsvqrdfuiDCwTibitFGT/T+w9dosUDZxftVI1O0fcLYUYLPqBy2b7negR2ZgrxAGJLhFWCIR/+qd/sj3wEE54qYgTopFRmAIk7oCpHWKYaFxMe+HdYh4+qh4ZDMBJx1zxmZz/rorMhRcv5B/+4R/ls08/s9EsBunO3Tty+84d2+YGcYoovaxTp2FlFaLTVqfqtcb7OazXhFuP4XCiThhMMZjMZNK2QAXbF+pv8N6fZ0xA6nkgHLFXiEfOGU8V/USInWw0GzKkx2A32W3hMto0JzpEttUhEBAcg9QBW+bBwitFYwKEEwaETL5hM2cMDK/zPqYT+YzgIr8sIBY4bzY4ZRS3sb4uWyrguB5cM6YBiV3guiHiMFqX1QiZoFJDzXXhWiCqCkdTy+e9Q3IuB7RdRBT7Y46qHaRdU58ZMF0UzxWwcTztFe8y50p7xVPHORJTSqA7efsOa4dq833loHP2RLYHQRSFVYGIJgwGhoOCkILjoil0lGG0xsgGkUFBcFwGuB5cN64X6QTaeqtPvrw2iAaLSdPHcFmuy9eBYaa+hGvDyJh6xmMXV855APGEkMozQBgaUsExZPaRNn+RxNVxsPosvsFDxXQo+4ASb8Zmztj93iUaTDvRJdLiCpEQxBWdHyMW3MLBs4Dh4BbjQicZhBWiAWFGcCPvvQwiAmFFQUxyzch7wwoazp1rkklnTDxgkIhf4LmLaHi/LZw714A6Q2eEqDJj7eLKOUcEcYVHhy2rEFfU34vcvuPYM22zRe0PaLMx/ddqDQbi2H1sICLLcc6SyPYgwQtDwVAQR3B84+Ygro53khgVDA3vYYk9Gd2ZJuTxRYfrhZBCUO2WSpZgtVKtWLAr06cYouHiwJ0eRraXHerQqwLLPHtHUyqOcx6gDlNvqb8syAiDzGAjLxp43hkoTk5MWEhIKpWUtoopG1RWD/X28GX+Q+yi45wFke1Bgmii06MBEcD+9ttvWz4rYoboAIPh4BZhhXHheEYuZG5nexxithjNXAZIIUDmYrYBIv/L9vaOiqmiXLl6Vebm52RiavJlTBHX7zJDnQl1jML1oFOiHK9bjhN1EFFhcBkGmMcHnxeNjJ7j6MiILcq5cuWqee26KqQqlQMp7erAcmewRRoCy8WVc1ZEVlwFg4EQYCqQXFaDxnTFpgd5PXi3GKGEgpDCW0XjwnPFaOaie644P+INWDGDx2ptbc0WATAtijANKyrZ3gYBetz4XmZC53NcYHHr18Y5Lxyvw2FgwP3w/EWEc2Q6cFIHi6wcxyNPqAP5vljEg+0Le6e6uHLOikh7rjAWiAGmshBYFO4zOuN1RAUxVYiIsKkzniruX5ZYK0BQcs5sf0Fqh93dPbsmTAlOz0zL1WtXZWp62rxWF93wflfCtUBQheLXxjlPXLb6S8yV5abL5mwLL0JGKMSbMZje3NyywlZA9BEusJyzILLiChEQpvqYX8eDxZRfcH0jvDAkNB6EhG3vcjQdRn4shBXHhOMuMsRZISyXlpZtKvRAhRZZivO5/MDjd+OGTOsIj+voOI5zngliEvL5IUsvM3/lioWLIK5WV1as7O/vWT/ggyXnLIi0uEJMhRVcNBC8UcyjU2hEBK2TSA5vDQlESThKrBXTY7yXQG7ez2ddVBiVcb5cg8WFF5bXipgzxKgtAlBxxUIApgezek2cL8L1CwVDTPGRrnOeOF53Q/29LHUYO49X/urVq7b7REcH28xesCMFeRHpKy5TOh4nOkQ2QzvxU4gpPFMUxBTeGbxSQUjhpWHLA+4vLi7a1BiNjbist956y2KN2I8KkcU8fdTAAH6fDO3BmIbrwvXAa8fGzMSbDY8MW4zV9Wtsc3PjaEVNSmIX3IP3XeAaUseCUEegVlSs85hry8j4Ioty52JAnBF1FiFhMaasjtb6e9xbc5E9N8eFJEHt9BGNekPtfUqGCoO8X8A1oA9wL5ZzWkS2tw1BiyQNZTqLDhBh9ezZM9sO54MPPpD33ntPfvvb38rvfvc7E1pMFzINxl6DjGRwFxP8HkVh9UPAmDAaQ0hhVJkSDSKNfC+4x69fvyFXr183YRnirJzPOX4N6ZQY7eL1JJs9HtGOvuY4UYeBAGERmww6daCJHWQxD3GYDB6C8LioYNvoJxhAMpAOGeo57/29fRt4Yh9p5+69ck6TSIsrRFUIYqdh0OmFKUA8NQitzz77TJ48eWKvISTwViGuEFk0NhreRRNXXAuMp20PpIZj21bHlMyYYFQQVwSxX7kyb9fOxdVXoH1OuzVIuIq44voh3jHExKyRN8dxok6vPxBXW1vbJqwYIFCfm62WiauLLiiwbYipER1EI7AIhSgUC2bv9vU6LC8v2aATzzSefrjogtOJBpGPuUIcIJIQTffu3ZM333xT3nnnHfnRj34kP/nJT+RnP/uZ/PznP7fy4x//2KYDb9y48XKbHD7nooHBRBRgSBGWmxubKgbaMjxStPgDxBVGBq9dWFnpfBEMbJgWJPGgCazSQKBybXnNcaIMdZhpQQZaeLB3tnesDpOCAK8sYuIyCAmm8Fk9SIZ6kkzPzs7ZQJsp0sUXC7K2uibl/X0LMwG7bi6wnNdMZMUVggCPEwKJEQnCCgH1L//lv5R/82/+jfzt3/6t/Kf/9J/kP//n/yx/93d/J//u3/07+eu//mt54403LICbgO6LJiqCQcBw4l1ZXlySx48em7cFEXXj5k25ffu2TKi4CikrMDwurr6Mmlfp9rqDPcm0c2L0P8juzBYalyeNh3O+wSYwEGCjdrwz1GG8Vj0VVtThyyIisHH0FbNq+8mHOD45YXZydWVVB5/rJj5p45fBm+dEg3MR4RzEAbeIBUQXAdqIBxoUQgrXMIX7PH/RpsIwkoxEMRCMwhihWpyVlmazYdOfBPKTjd3iDvJ5u05hybLzZUJ9SiQGhetFbjAXpM65QatpPD5IIprUuhvaPPU3lMsA50xfgMeeWNuxsVFJpVPmmSZ8As/03u6uLVphQ3sXWM7rJrI9bxiRMfqgcZB1nBirTz75RB49evSF8vjxY4vBQmzQiMII5aKN2giyRlghqDhXshAzWsWwkH2dEdtVFVjEH7BFhAuEr4drk0wkTYjncnmbRhgZHbGpVET6RZxOdi4e1GOmxKi3Y2PjVofzWn9toHDBBpjfhLVnPWfa8dj4mNrDsZeZ29vtjgX5E1OJzQwrgh3ndRLZVAx4aZiuQTwQwP773/9e/vEf/9EKKwT/8Ic/2IrBP//5z7Z6kKBFjqfR0GHiyWEkg/CIKoi/sMrvL6Vi4FhE49rqqqWdWF1eMcHJ9ZmZmZU7d+/Kg6MpUcSBpV5wcfW1MC3IXoxAJ2QiK58zrx+/QXG4aM85TlShfQePNiU/lDfPzeTUlImM4MGPsg08SbgewV42Gk3zUjHNz3NxfY2BOtejqPYVG4kYc5zXRWRbHUKJqS/yWJF1nVsbeehzNJhgUCg0Go7necQGhfuMUM61B+tIHBE/wd6BCLCNjU1bFcR1AOKrZmambY8tWymjhsOF1V8mpv+SqaQZWRvtqqA6fg3d8DrnAdo5oRAs+iGYmzp8WYUV58otg2oGRyQVZSEUg1QbmOpglEVAB2pHG9pfXLSZDSdaRNZzxfTewsKCpVpAXBGQCKRmYPqLAPe7d+++LDdv3rTEmSEvFsYlCIwQhxA1/pLnituEPsf2NghGcjGxOhChWa/X7DwxHgSys/0DBjZ4W1xc/WW4RhQ6IWKtEKV0VCFu77J0TM75h3qcVlGR07rLgCGIq1DHLxPBm8dZcw1aR6El+7t71s6xk8SkmkfrSJBdtmvkvH4i23uQ9A0PDTFVCAo8U3gV7t+/L//sn/0z+ff//t/Lf/gP/8HKv/23/1Z+8YtfWAoGYg8AMULuq+DlOnfQ2LXw3euNholNxNXa+pqJsVqtruc6IndVZN64cVMm9Nq4sPr2cI0wvFwzxBRClrrDLY95zXGiDvUYkYC3alQHnsNaQlhAEFeXDQQTg1NCJFg9Pa4DVsJF8PZjO9lzkP6BPuVc9g3OuSDS04LsG4grF1GBq5fEoOS5+ulPfyq//OUvLfUChftvv/22eXHwXGFUEFWMVnAHH29AjGpCiSp8s/D9mNYsq0jc2t62adE9HX0x3UkwNmITLx4eu2Jx2AXBdyQILDqiILKoZ3g6XaA654FQh6m3WRVV1OHL7pHh3LkeY2ofSc3AbAD7qiKwGLTvqg2lb2HASkhJlPsC5/wS6XkPGklYAYJX6sGDBzYdOBATg02ZmRoLmdxJnknB+4AoQYSQOO544+E+jYzbqDcqDCPnwGbMz589lRfPn+t371pcxZWrVwbToCODaVCWHbsgcBzHGfQdQXSOjo7Zoh9CJ7LZnO3GsLy0bAN3Bt+O8zqIrLiicTACYySGkGKeHOFkoxB9DvBIIaK4RVgEDwTQaEJwO/c5Dm8WIxduEV1BZEWGI3HE92JEhbBixQupF1ZIhqe3iUTS8riQ02p6Zto2J3Vvy/cjCG02ug11iRK5euE43wD1lXqLzbD6q3X5PAweXxfYQUroQ0ZGhi3YH5vJwJtwkY31DdvZgv6B68Y1vKyYHewO6tDxgk28zPXohxJZcRVGHcE7hXjgR6YhBOHEtB8NhcLjIJ64b0nj9gbuX0qYb6cwzchxx6cLowJGge/FOe4fbcrMlOCufn+yLxNPMTM7I3O2d+KkpQ9g1RuGxPn2mEFRg2oiVq819YF6xC2i9jIbW+f8EGxisHmUMJi8zIOEYA/DzMfU9JR5rrhPe9/dLR3tI3og9VrdwlAuY5tn+yR2qaDO0L9UDgZ9agipCcLTBdZ3J7KrBTEWiCJ+ZH5cPFJ4m3g+/PgkhqMEEYVoosEQm0ThWCoHYoX7LMPldd5Lo7PpNB3ZnJXHhwr7crWgfr+0fhfiqFghSBZhznN1dU2WlxbNlc3xt27dtNWRV6+yOlDFlYotF1bfHa4l9SkIcrYT2tO6hOEF6ht1xHGiDLaR+osdwQZyH3tmnmx9Paa24TLbB7Pt2ta5DsSpst8g1wrhwHXB3tIPxMMODZcsbvXlQF5t3+4eGewr1lciOLl22MEQw+d8NyIrruj0+MH5ofEkYDSCB+q4uDourIJnKninqDR0oIxKOJZkpIgrPosRDFOMeMfOquJ8QVzpOVGJCcjnecTW2tq6rK+t2bYNiMSCfuf7Dx6YuJqdndFzKKhRuJwrgn4odEoIKeoRwsrqltYZ6lpSrykeU+qG40QZpgDxVi0sLpodQTyExRkIBQo24jKDfce2ppIpa+8MvOlfsJvY1BBWwW0IK7ks0K9wLULfWt4vW19JH4uNNJGu1+nVPvJ79Tnar33B/6Wf8Y2fosfbjf1fOfqbp9fbHf39z7/A4P/f8gtE2nOFEKIEVzcdX1g+S6XgueB5oIT73HIsx1FBKKEC8bmIF+K3iF06S8/PcXFFZcYQ5rVTRxBSwQm65Dsn9PuRJmB2fk7u3Lkj81fm7THbXriw+n5w7YO4CkKdJdrUFXLgsEAixPY5TlTpqI2j7i4uLMiedo6tdscGjpSkCorL6I15Few7dpJC/7Bf3td2PojTpf+k72RBUGGoYFnuLxPYu3arrX3OYPN6nBX0Rxsb62oXCZOoSVXt46H2mzXtU8M0Idcu9Jvf3Af19ALTD3dsNqZx2JBWsy3tbk/6MX1/Im7Xn094+Slqm3vdtnSbdekcVuz7NfVjmhKXrr6H4+L6v2/6qz+Yfku/dlP67bp+35Yc1vuiN9LR70G2/wRf4C8QWXFFh8c0HqMMBAaiih82xBJwy3OIqOMlHIewogOlcHxwfXIMlYK0Dqy2wyV8VsaH70awOgVxpbXUOnS+K563hRfPtWJXbUkx8QI3b92Uq1evmivbpwN/GFx7BDfXnRJi9DAUBL2G6QLHiTLYQert82fPzE5i90bHxrSMDrw1Wi67uKJNmwDQ/0KfEfoQ2j6dfj43ZNeMQdVlgpirQV8pKiKaOtjfkKXFJdurd2d7x/pM6hf9MbuEIOa5ltQrhHvg6wVWV/8I/THCSgeze4favzX1c/oSY4V7avAZ9GThE7THlp6KvU6lLM29kjRUXNX6CanF09KNJ4R3JPTgb6Fvvj+9ujauinRbKixrbdmritSaiKuYZFJMIf8Fr5sSWXHFj8pSWRKJ8uMGL9RxwYSIouDpCcIrHAf84OFYGpQ1JD2OioFIYfUI0z9nLa7wXrEhM9+T78YogdHD0ydP7dzIPn//wX25d//+ILuwCqvgruUznG9PuGbUE0ax5BArl7XsDYxIXEdGJGfFs0ndAL/GTtQI9ZjN3Fns8vTJE6u//X5PJidYVT0u6UzaFrtg3y6zreDcgfMPKymxtXhl2O2CQdbwyLBMTU7JxOSEHR/6kAuLniNXhfrC9UhpPcFDw64on376qXzy6LH1v4RKUL+qVRUa2r8CMcH0QcQIB7hm4Tp/DvWN691SkdKQw4OqlDbLet2b0ta/Hh/KSTyblrgehriKxzheP6PflW7tUIXVjtS3NuSwrbZahdVhKie9eEoy+oaUHqa1enD44F2vcPxZpiMH97983HGOjtPrEVNh1W/uS6dRlnKlJZv7CTlsaL1QkZfPJ0xgceg3fV5MLyzfInIgLviRn+mIDC8OhB8QYxEMRvhBX/1hw2lxy2thqo1Gw5Taz372M3nnnXfMQ3FcgZ8mfJcPP/xQ/vzBB7KgI4Wmfkc6dIQgcVYLLxZsmpAkqe+8+47cvHXLvCl8XxdX349wzTAU++XywHhop7Rb2tXOaVevf8GS0d6+c9vyiQ1GdX6NnWgR6jF2bW1lRf74pz8JK+Cymazcu3fftsQiTQudIAO2y2wrXrZ5BlQ6cKU/WV9blxcLL+ThRx/bDMCbb78l7777rsWzEm5xvI+5qNeNc0Ns4nBAVmxvbctvf/tb+cN7f5BHDx/a8/RHTDEzqJ+bm5WZ2TmZnp2R2ZkZi1nmdfoo6hl9E3Frdt2YitXPlN6h9Fplaag421rfk4Xne9LspSQ9Pimjt27K6NSYFFWnFJJ9ySYQtB3pdepS21NRs7Yte6s70skXJD41KbEJHTCoCMyqUEt2exLrxaQT07qdJGVTUjK5pL6u59SoS6fe0IGHnltXpK2CKJbKSCqb0WNUFGp3n+w2JdZV0ddpSb3e0r63pzIwId14VvqJlOQSVcnIgf6NupR2e7K6lZJuLCv54YLMXcfDqe1KJUdSy9e5ZiIrrnBD4tEh5oqRRXBvU2gM32VKjEpERWHqh1uCFulAz9pzFcTVB++/L8+ePjXxp19WOp22zTMTE1QoDluc1bXr1yxGjIbPuZ/Vd74QaJXn2jP9Sgze8Zg9jANGA2FFsCvN46IaV+f8Ejp9vPWkbFlaWrI6zKBrRu3E+OSk1eVXp28uM7R5pgC5TgRvMyvy5NPP7BoSx3pV+wTCRegTCM8ItvYit/++XhNEJ+D5/FjF5qOHj+T582fWV4Ygf8QT4RJWLKav8NJOTmqZ0PrGfRZkkaiV91hcUmdXuoebUt0vycrCtjz+pCSHPRUmk/My9uAtmZyflamsyESmJ8VURyt2VboN9oGsyvpSVdaW1SYXMzI6m5PhCRU+vY5Utg6kftiWZjsuzVhekirqRsdzMq6vFwv6nA6Ua9t7Uq82pNoU0U+Q5NCwDI2Ny4iKtGI2Jrn2riSaB9KqVWW7pH+v2pVmPyOtxLBIdkQmRmMyXuzKULor1Z2qbCwdSLun4m1kREZvX5XieFHyen55PcX0F/06L4msuKKjQwwFQYQq5gcLxiIIJgqjNxoODYHnOSYo6CDEOI6OlDl3jmFuncJxPD4L+M4ff/yxea5w6yMm2TOQyh7XH47VLXjZ2N2dyjs8XLQlw/qzDdyR9r294/9u6DU7EkzUCYvRs4DOlrTaLatbGJIhNSLUjUHz8GvsRI1BPbZBgo7U9/f2rQ5j6+gAh/I6aDyaEiQA93LbisG1AtozeZ0OKgc2O/Li2XNpqA0YHR2x2FZmMvDUDNHfZDMWJoBX52IyEOj9Ln1nzBwaT548tdmileVlm3JmCpA6RT2i0LfSD2Mb2cdyfn5O5ubmZU5vr167KtPTM9Zn5YcKks2kJNbakW5lVQ52t2Th2YZ8+NG2HHSHJD1zXcbf/onMXL8iczmR6VxPRlKqhPol6dT2ZKdUl4Wljiwsi/4eMZmfEZma1N+u2ZDlJVY0dqTWSqoYUjutQm9yOidTMxkZGY7J4caOlNdKUi3XpNroSz2mQrk4JkOTMzIyd1VGVMwNN9cl3dyV9mFZ1kqHslPR41T0teIjEs+OyuxcXmam0jKi6qm5XZLtpyvS6mi/Ozou6bt3pTAxLqMJ1RE6bsnRtL6CyIqrMLpATTOysAp/5H7kFvD04OLlODpKOkZ+eEQTGXkxMlQGKgfgqcAAccqhgvDaWYqrzz79VB4+fGieK1JF7OyU7DsmkwnJ5/J2DkWtrNxmtLFDRH+y84Vewm6va5mJwy0ucsuHo50SwjZxtJLFcaIKtoDBWLPRtHpsg0utu9i9mHaYPD4r+xZFEEt60QaCVPsPpgcZYGWyWUvITN9SVFtr06naR9A/XGh7y6np+TFop39cXl6RtdVVE56DQf7n5x9ueY7CtUJMkdQazx/73DIbhAdrYnJKRkaHJdnV/lvFVcXE1ab8+cNtqXTzkpm9LpPv/lhmVVzNqtiZzHRlOFEXaa9Kq7ojW7ttebqW1pKX8XxLbkwcyvzoof5uDflkqS07ByKNTkqSaR1IFDMqiuMyPqHfKd+Tvc2KlDaqUj1oSJs4MT23+NCYpEZmJDV+XYppkYnGsuQ7u9JvHcpGIyZ77ZS0uhltQyrEEnmZujImk7Pa9xaT0tvekIPPnkqz3ZfW8IR0br0puYkpmc7EZDIVk+LXTCJFVlwhmp4/f/7S3c2IApcjBeHEj/vkyRMTJnh/wpQOwoqd0ImpwsWLKMPFi4EJAe8QlPhZGh4uPefHSIGl1MRYLS0v2QpBOnoEYCjBY2fv8y7/RKDm9/o9/me/hTUFrQ+M4syAXOhRq3NRYJDW7RzFBlr9HXR+A2F1dJBjHPn8rS8gtpXZDPqEYF9JyRDuJ+JHMVcX3Qbo6VFfGNQTf8o0M4u/qFehf/wqmWBe/nzeZlRIaE1/e00F1s0bN+Tm7VsWepNJEv+0I7XKnqwu7Mijj0vS6GUkPzMnM+88UBEzpaJKpBjvSq5XlVj1mTQPNmRrX+TJ7rg82ZuWiWRZbubWZT6zJZVWT/68OyalVk4HDxmZLqRkIteVbOpQ/1ZVT6Uua+WMbFUy0mj1Ja+CbSKrv3E8L4exCdntz0tKB9Lz7WUZiVUkrQLpcGJemvkxSfRikj6sS1bFdnZ6QrJTKsgKWYmX1qX7/BP9vK5UcpOyM/eWpMen5Vo+JvP5uIx9Htf/BSIrrkjD8PjxY/nss89MXM3NzVlQHeIJoUXj4PX333/f4paoGLgjWeVFUOJPfvKTl2kLeA8NhlMNpzswPGdrefguxJStra7p+a6p0FrWkcOSZck1lywufVS3dvLBWDonR6j4VideNoOjDon6MXjCcSLLoNaqXdMBwktesW1ej78MbR5RRT/C/SBIPxelZ98/nBacPx57UjHg1GB1IIt9gucKwrUITgkKfWpGB/5MAZLGIux5e+PmDbl9+47eXtfX29Jp7knj8EDWl3bl04e70uqnpTAzJXNv35GJ+XHJa9XN9buSbh9IrPypNPZWZbOSkCcHs/LZ4U2ZTOzJ7fSyXEmtSVUF0wcHk7LbVnEVS8psTlTcNCTZ31cxsyetbl1W6+Oy3RqVdj8lY5m6XB3ak65kpNwelfXGNC4vmW2syEj8ULLFjPRuP5DY1KxkdaA9VClbialu6GuJ5TKS3F2T+OIjqTe7spuekOWJtyU5NiM3izG5XkjI5Nfkmo6suCLYEK/UJ598Ym5bgroRTnihUNTEYuHZwnvF8lGeJ28VLkl+ZLxb3PKekM8qanDpmedm6pOyo0ILdyxxVzR6AgIHldrNo+M4zskx6PZ6R6I0iIfLIqgC9EEmrvS8cWIwg8JsCmkYrA86mt2hILSYHWI6kBWCFtyutzg1RkZHZXxi4mV/SwzWzMy0CjDSMOyruKrI+vKePFFx1VTRU1RxNf/2LZmcHRNSNWd6HUk1VVztPpb63opsVpMqrK7Ik+ZdmUxV5U5uXa6nt6TRbsmjvayUanHpqNAakpbkpC5xqeh3rEhHH2+0p2S3Nym9RE4msi25VuC1tBz2ilJqT0jvsCUjlRXJ91RcFXKSeOttSc/NSz7Wl2EVgUPVfekPj0p3eET6xC3urkpi6aEcqijbSU3Ki9F3JD4yI7dH4nJzOG4B+V9FpMUV032kY0BM/fSnPzXhxH1+fAQVXh/iragUN27ckPv379uPC8ynI6j4oZkmZDoxioSA/JDcjhWCnU7XpquOmrv9PxgD53XCtfbr7JxX3FZ8f14VVZfhGhLQzmrBng7k45bK449/+KP86f0/ySePP7H+KIir4NVjFmhqelqmVTjNzpCaYcbyg42Nj0mxOGzpP/L5IRVgecnlsvqeuvQ6ZalXVVwtqbh6tCctxNXspFxBXE2PCo4fxFWyUZbYzkOp7y7LxmFKPmtck886b8j0UFfuDpflZqEsogJscbMqO7tVKe/XpFauSbup4irZlES6pR8ksiczUklMSzxVkPF8TK4OtczD1k/mpZkYkU61LrH1FYk3apLK5yT/43ekcP2qFNMJGW0eSqFekW4mL61MTsWaSLy0JPGVR1Kpt2UzMSlPht6R2Mis3B2Lyy0VWDNf47eJrLhCOeO5YlqQH/Wv/uqvTDjh6XnvvffstaCsiat6++235a233jIRhRfoo48+skqBm/LNN998Kbocx3EcxxlAOgZgtfr/7//7/+Q3v/mNfPD+BzbgZ0aI2CoKsb+sWie26srVq3LtGuWazRKRliGb+6pdQw6lr+KqVj2Q9cWSiquS5bliWnD2rdufTwua50rFVemh1EorsnmYlM/qKq6692VqOCH3x2tyc+RQEo1dWV9Zl+3Nkmxv7cvGRlUOayqsVOCkCjFJFFJSlQmpxyYkoeJqNJeU2aG+Cr6spHJDEh8alu5hXdpLy9KvViWRSUv2zTdk6Nq8FNIpGek2paBirZ8dkk46Q654E1ey/FAqjY5sxlVcFb6duHr1SkQGfiTmdMOPyw/N9g5sh4PXisy6KGt+VDxWiCiORSsiugBx5TiO4zjOl6G/pB8lzIZg9kZDhUp84LAgzvnuvXvyox/9SH71q1/Jv/7X/1r+xb/4G/nFL38hb739ls0W4bRghoiUDV/d3/JcQv9QTGK9tsTbB9JXEdWoVWS30pKdisqvpliyT+30RVTgxEmBwdY4eA/1+8hhWXoH29LZX5fDvS3Z3qvJ5kFHdmsxfV/cUo7ggUoPFyU1wrZPKgZbdYlV9qSjx9d2N+Vgb1f2yjXZrsTkoJWUeLIvuUxT0rGyHO6syNrTp/L88RN59PFz+fjxijxfUfF2UJNqpyd11Z61VkxabTx9MclkYpJTQaVaUxLfkG4y0uIKpRzEFasBEVeo67DfIFOEeKrYHoYfmffY1JqWsNIhFMdxHMdxPgdHBI6LSrVqKyfpN0lDweIxkqqyOOztd96Rn/785/LXKrB+YbuFDDLZs98t/S/HM4P05UkwHiMx4iqU4vqvLylR8dZrSLfNZshdqdRV3LX60rVDEVcZiennxbTv5/hkU0WSCrFerSydwz2pH1bkoNaRg2Zc6n09Jp2VHDFg5NYaG5f8qJZcVvLxnmQ6dUk0KtKtH0izfii1RluqzYS0emlJZdjGRiSXbkm7WpK99TXZWF6T5cVNWVguyUbpQMo11RK9rpaY1FRYNTt6jrG4apKY5LWo/rOv/HVEVlzxYxE8hyrGg0VcFYKKGCumBqkUvB5SMxBkR+wSr4VKgqj6spvScRzHcRxVRNLTQuwvW4LhzCAwnem+W7du2kIyZobeeOMNefOtt+T+gwf6/C2bKcKhQQ5GcoThAPnqvhbHRlJi8ZSlucjlkvo3WGnI/o3EHIuQHQmPECsWJaPCKjsk8VTGtpZJtWqS0NLvNKXd7Uhbj+vG0/pCXpK5ooqqESmqqBoem5Dh8SktkzI6MiJj+ayMZJIypH8nlYhJMs4KR5LqqrBSAZcv5qUwTF6ztCT7HenVa9I6rEntsCHVRsc2i2539Zroa+2eCsBuUpq9pIqrpOQycSmouMroF7Sc3l9DZGOucFMS1E7sFctDEVfk3iBQPaxkeKA/NC5L4q0QVCTh5HW8XCwjRXhRSe7du2cpGRzHcRzHGUA/erxv3d/ds+z1zP4QoD45OaFiZVRGRlXEqJBiNum70ZF+rymdZk2qOyUpra5JvR2TdnZUOmPXJDM8LpO5mIxm+jKUbKrS2pb24a72+XVZXOrIiyWRoUJMZmZiMjWpgkwF185uT2r1nnTaPUn0e/qd4paPKl3MSCKblNZBQ5rlmnQaLemrIIslVOJkChLLqwYYmpV8SmS8tynZ7oH0WnXZrvVlvxGTZjehApP8ZikZnR6SkUm8YnFpbu3J3mfr0g4Z2u/dlcLkuIypuBrVkv8agRVZccUPzmpAywOlYmpxcdE8V7gw+YERTuSxCgF1CCuC3/FsAWKK5zmG1YKscnCcL6BV3xIEHrWAzxuCtmCbSdbGxP/tvuNEADPX1NpQKY9u9cZiVOy/cHsMwiMGBw0eDm4uH9bmj3N0TfT5wTUZvP7FXnFwjL1u1/HigBOCGR/6Wwun6fb03PXk9SSZMUpnMpLmVguPzTvFNfjWRpEL2ZVep61ipyaNSkVUE0knnpVOetim9fKpmORSfUnHiZWu6nEV2d85kNUXZVlZOJD0aEHGrqnImxuTjIonqbX0A7oi5H+WhMSSeMISkkwTeK8CTM+nS2l37bBuP26bOyfSGUlm85JO6Ln1mZ5s2fdqtDrS7PT1W8a1pCUWx7vWlkyqoV+/IaX1iqw9q0qrm5LM2KhM3buqwmvE9hbM6eU4d3sL8kMHNU2cFUHs3Ge6LyQLZV6YQvAdAe7kveIYphRJ20BBYBGYR04Oxxk0djWgva42QEZUDWm3O9JWI0Oj78W08eJ2TqS1oabMBZxJ6cjom/y/jvPa0Tqro/B+p2Gl3YtLq5+RtnYGJBrOp7SbifF6R1qNprSaHelofe72VXLFEjqiz0gqm9VOKGl1mR39tW+4JNDmVTRo39FttqSthfxWPe1E+9mcxJg26rW1s21qp01n27XOttPVjlo7XDrbJAIjm9bOXe2CHh/Xj+T6nfdLSH8a0gHhxSKYnf4zoYIFIUU5Hrv87UXVcfRi9XsmZHrtJhtiqIhJSCeW0YvIVmMqdtS8JuJaYaWpdrkm1b2K7KyUZGt5V+LDKmTmpyU3OyX5XFpynab+XvrLaN2239C+M1N/R9N0tBMtXf1DtIFOTwWYngdbyjF9yTGDgYjWCbX7TIdyHUh+1FPbz+elYlWJ9w5UoB3KzlZTVleZksxIbrgoszenZGQsL4Tcp/nedo5fJrLiih8agcV+R0wRIrBQ14CYwhNFPBYFTxZTh4ONj2tWOXjdkpvpLYX4LMex4U6fvQRb0izvSW1vRw6rh1JptOSgLdLWEVUsM6Jl1DIPT4+kZayQkqHMNywLcZzXjhr/Zk369V3p1nak0k7LQW9Mx/lFHbGnZKbYlmysId1GVQ629+SgfDgIwu0lpRPXTmF8XIqTY1IoDmldTkpBO4WkdTKXATpt7UC1c2+WD+SwVJamjqQ66ax0J6YlqW07265ItlUWqR/IzkFL9g57tkKs01PxmsrJkHaqw+NFGZsc1gGXdr7aa5pAHfyBcwvdP94rCvdfCiv2YDxpVMxge9E1CBk8Sn29gglVquYQs4P0e6htbhBgv70rB1u70ssVJTYxJfGxccmpuC3qb5mJ6XdVodfTgUNfbxG6fOPBZ/B3kDV6bnrXPFf6j6Tc/J0vYeeuQovtzlRY8SGxTkU7gwMdfB/Kbrknm/tJ/WZZyRVyMj1dlEIhbaJKNd3R3/wykRVXfC3UZPjxLeBObwE1HQLoqAyoacRYOIbHVkmOFXNnOg5p4XSU2m3XpLK+JLvLL2R3e0e2yjXZaPSlkVBhVZiTRPGqjKnhvT+fl6sTWRkvMk5xnLOiJ93DkvTKS9IuPZOt+pCs9a5KqT8jmaGcPJiuSzGunUF5RzaeLsr66q7sN+Ny0ElLM6mi4MYNmbl9XSZnJmSymJYJ7RkyahIvh/eKfqNl8TWVtQ0pPV+VaqMrjfyItG/dk7QOnkYamzJSWxPZ35Bn6zVZLnVk9zAujV5ektlRGZ+bkvkbs3Lt9qyM6vFZ7TWzeu0Gu72eb+hjgwz4/t6pb8NA8AQ5QhC7PdKHX/iL/Y50mzpQOKxI5/BAbXJGmplhaacLOpBIy3CiJ1nzVPFpn7/zy986TPFyTl/1+jE4/+Pn3apqfalqP1GXajup7aigwisjmYzWlaGk5FDWf+EzI6s4gkBCROF1YloveKHwXLH8k+fNzafHHT8GjxWrB1n58HKe2HGsqQ0Mbb/ftB3TGy0ZLLGNpySXz0hWe5yEjpza5X1plErauFmpooKMtzrOqaKVjpF+tym9+p40KztSLg1S0azrqH57T0fVlbZUqk1pVPalVWEPt6qKqpjsdzLS0hF7MtGRfLKmY4qaHFYbsl9uSbXa08HoZanQPe0ka9I82JPD0obsb23IztaObG/vyU65KgfNthy2e1JrdKRea0mz1tZ3JCWWzqqoSqsAbUv6yKNVr9WkVOvq9cVm6CfjELsA0NfSR1Jen7ACPpu+mNuB4PnqqVW8Z2lJ5/KS076cVAvZjP4WqqaIb0rEwvfEHxU+7avg9YFX66tfP8ar5x1jKjEt8WRe0pm86omc6ouM5HNMq38LsaYk/odydN9xLj59VVN9AjcbcnioHVMtLu2YCvXiqEzMjaswL0pGG5Zoh5Vut2V6PCujw1kTXq/V7jjOq9hYoK1jgbJ0q9tyuLch21vrsrK+LZu1tJRlTOqxYUnHezIpG5Jq7UtTe/3N1oiUExMyVMzK5Fhc5sb6kmQ7j96QdDspScUTMpqLSUZH3/ELW6m5eJxbV1rVfUskWdFrt7O2JZtbFdlv9aWRzotMMy2o16RRl2StLjF9vjM0IcmxSRnSjn001ZNxqWmnmhLt5aWWHdOBWFry8b55T4gVck4Y/dnwNtkt05MqtOLJlA4UkpI+uuY2HcfP+zrhb+vfjCXSWgiWJ/Z2ENv1bTy+XjWcS4T1VlpYldKRXjwlvfSoJIZmpDA+J/NX5+TKjIqsfFJyOtJPqFGOteo6ROU9l2Wk70QHpmu0rrYPpVdX4VTdk0p5X7b2qrJz0JDKYUsaza4FaHcq+9KplqXVasthYlQahauSnpiSqemC3JiJy0i6K91aUw73dVBx0FKRxWcf/ZkLydHJ6UmyaKVZKcthaVsquyUpH1SlrNeiqkK02e1Kp9eXdj8hrW5GerGC5EemZJx98+anZG4iK9PZphRjKrw6TanUe6KXXlp6/cKmz85JE7MA9BiiSgcFyXRWBwIpySVjKmhVa52GsNIBSCypA+pUTpKpjGTTCcnqYARx922n0l1cOZcIWgVFWygrgLJDki2OytDoqBSHCzKSS0ghzZLgQcdjqweJjbT3Os5ZwTTIoCRY6ae9S1KrMB2MrYAj1pQN3+tkvlaxkMxLb2hcUsPDUhzPy8RY0lYT9pptFWhNadVatuT+slRsu3baWca1zcftFs9HXztJvQDa0AmKVmMgidywpAtjUhguyuhwTkYKacml9L16DNe5j5gKJsR5vVC5CS5PpPSGFX7xwWpAffpUnK14rRBY1BnCk7TdhdWI3/bvu7hyLhlpbR1Dqq1YOTWmI/sRmZrIyHCmKVJelUZpQ6q1huwninKQm5ZGuiBdbWD6psHbHefUYASv9TU7JvGRK1KYuiZz8/Py5s1xuTNXkKnhtI2mY10VCG0dCGghRItl6amsdgY57RiyaelnstJHUZBQsdWSmIoxW7l1odXVUdemwik1NCKF6WsyfvOBzF6/JVenxuTKaFYm83HJ0GmmUjrIGpbCzIyMzmspxKQoFUk1dqVSachKOSWlOl6ttIwPJWSyoD+Jii5WnznO1+HiyrlEMOxRoRTLaKeVlXQqLfms6OhUO51uTQ73D8yYNnvaLPLDkhgdl1g2b/PtjnPqhNF7SgcDuTHJFMZldGxU5rV3n1ZxUFTxlNYOHs8KyYNspTsro7T6xpN6y3KqVEL6uLnsOFyxHRVZqsAuideKNk+8GZnAhyZmZXhiUsaH8zKaT0ohjTdCL41e41RGBdZQRgvbobSlV69Kq8J+dH2pSkFayYJ+TlbG8gnRSy/ksnRt5XwTLq6cS4ZWeXofvY31dBTfOpBuvSw1NaQ7+33Zr6dsWqUwPiLjMyOSL2Qt74s7rpwzIUxPJHPaueckm8tIIZ+SoWxCMiqc8J5Y1Twmlj6/yytfrLj26FLVZb0+iZQk9Nol8wXJ5PKSRUhpm0aYEtAfY4ow3tVr2VYBWpd6tSoHu1Upl5u2OXBMhVlaB1qFYkGFVVyKKqzI8u3iyvkmXFw5lxC1isRaNMrS3l+RWmlFdkoVeb4/JJudKYkVpuXajSl54+6YTE1oh6bDVLejzpmCF4vYIb2NB1FwrFYSP2QxRFRtNevdfmLgxer1JdFnY4++vdcSJSLY7K2XpVYjoCjh+ukzXM5wDfo9iXVqOtDale7htpQ2SrKyWpH1nZ40U6MyfOumTN28KtPT4zKVSciIvkU1lsX/OM7X4eLKuWQwd9KWnhpT8gYdbK5IaW1VNjb2ZKUcl51mTtrxnBSLGZkaTclQLmHLbx3nbFHhRGD1y2LPKCoaEFuphMTJrM1ijLbW71pd2od1aVYbUj9sSZvVgYmExNJkHGdq/DKZ/sG1Q0R9fu0G/0xbdVvS0YFWs7wh1e1l2VzflJW1A1kvNeWwn5LUyLDkRguWjiWtiiypb2P7G8f5JlxcOZcItYg99mbb15stOdjdlLXVHVla2pH19W052NPn9jZlZ0uN69KGlh0p7x1Kq0XqBsc5a456dAQC9+1W1UEyJfGhIUkMZS1EK17blu7WghysrMj64rYsLlelVOlKO5WSRDErqYIeR7DRJR0zWDZyKwT1d6XTrsvhXkn2VpZl6/lz2d5cl51ySXYO9mR7a0O2lpdkc3VDNnbKslHtyF5TpK5ilQWXjvN1uLhyLhFH4qpdlm5zWyr7JdncKKuwKqug2pNGdVvqB5uyt63ianFTlhZ3ZH9fxVWzbbbYcc4W1JAWm946NkVooqkgiUKeleuSqpdEthflcG1dtlZKsrRSk71aX3rptKRHcpIuZo7E1WVSV4Nrd3x60GKtYl3bCLuuQmpvXa/X8orskgvr8EDKtbLsljZle3lRtlbXZHN7TzZVpO6auLI1BI7ztbi4ci4PNlpt6WD1UHqtitTrNSlXW7Jf6Uit1pKYPs9mnY3qvuyqId3eKtuWIe02SUQd54xBDJEWJIE4SkkylZR0OiGZXFpSxWFJFoqSyqYk06lKurol7f09KZdqsl3qymE7IfFcRnIqrrJH4uryaKtwokyhJiSRVjGqJZlKSDqhAqvXkk6tLtU9FVSlstQbDen029JWW9GsHUh1Z0sOSiUbaO3Vu1JpizTVJHRdXDnfQGQ3bnack6cn0ilLv72nRnNX1hZKsvhCR6x7DWloK4gXMhLL5CSeKPBAhosjcvPauMxOD+v93CXqjJzIQbyQDgiksSVyuCG79YxstiZktzMqqVRcro1VJScVaVarsrGyL6WdmrQ7XduLQFIqvibnJTd1VYpjozKu9XyKdAKXacVbvyu9TluauyU53NyQerMljUxGGrNXpNvrSH9zSfrrC9IqbUsplpeD+JA0Y2lJ9BN6nVKSHx2X/MSMFGbmZbSQlfF0X4ppMnYffb7jvIKLK+cSoVVdR6nSa0qXvQXZQqTckKYOQwedUMJyWsXiKRVSacuDVVRDyr5i6bTnunLOkr4FXsc6ddsOp9FNymE3K81eWgcDMSlk2pKUlnRbTalV6tKotW2HgW4/Jj12I8gXJD1UkEwma1t55LQ6X66wK71+va50Gw1p1w5VUPWko229mxvSIZfahZoKVy29Rl3qdiX1NTbv1X9JvSXHVSqX0zJkKTAyeu30xlcMOl+LiyvnksFqwcGqoW5Xje3xPcJsGK/FXFQsdx9sN2JxLZdmiO9EFgKwrXSlp6KJBAu9/mB6j+1ceAYB0WM7HNszT5/R10nLwBRiSktCFRW5sYgHuXyeWASWtn29NhYhoBeAFZT2gP1DeV5f1yssvZerKZFX+n/2uiPfmN6aPeA5fcGtgvN1uLhyHMe5MGDOEWAqJBBgKq4QYuyJZl4WVwOOcyq4uHIcx7lImEkfpGkY3DvyvrinxXFODRdXjuM4F5hg4F1YOc7pESaWHcdxnAuIea0Gdx3HOSVcXDmO4ziO45wgLq4cx3Ecx3FOEBdXjuM4juM4J4iLK8dxHMdxnBPExZXjOI7jOM4J4uLKcRzHcRznBHFx5TiO4ziOc4K4uHIcx3EcxzlBXFw5juM4juOcIC6uHMdxHMdxThAXV47jOI7jOCeIiyvHcRzHcZwTxMWV4ziO4zjOCeLiynEcx3Ec5wRxceU4juM4jnOCuLhyHMdxHMc5QVxcOY7jOI7jnCAurhzHcRzHcU4QF1eO4ziO4zgniIsrx3Ecx3GcE8TFleM4juM4zgni4spxHMdxHOcEcXHlOI7jOI5zgri4chzHcRzHOUFcXDmO4ziO45wgLq4cx3Ecx3FOEBdXjuM4juM4J4iLK8dxHMdxnBPExZXjOI7jOM4J4uLKcRzHcRznBHFx5TiO4ziOc4K4uHIcx3EcxzlBXFw5juM4juOcIC6uHMdxHMdxThAXV47jOI7jOCeIiyvHcRzHcZwTxMWV4ziO4zjOCeLiynEcx3Ec5wRxceU4juM4jnOCuLhyHMdxHMc5QVxcOY7jOI7jnCAurhzHcRzHcU4QF1eO4ziO4zgniIsrx3Ecx3GcE8TFleM4juM4zgni4spxHMdxHOcEcXHlOI7jOI5zgri4chzHcRzHOUFcXDmO4ziO45wgLq4cx3Ecx3FOEBdXjuM4juM4J4iLK8dxHMdxnBPExZXjOI7jOM4J4uLKcRzHcRznxBD5/wNofc/7M9HV5wAAAABJRU5ErkJggg==)
physics-General
Maths-
If is a homogeneous function of order
.
I)
II)
III)
Which of the above statements is correct ?
We have to remember all the three results instead of deriving them.
If is a homogeneous function of order
.
I)
II)
III)
Which of the above statements is correct ?
Maths-General
We have to remember all the three results instead of deriving them.
physics
Rockets are launched in eastward direction to take advantage of
Rockets are launched in eastward direction to take advantage of
physicsGeneral
physics
The additional K.E. to be provided to a satellite of mass m revolving around a planet of mass M , to transfer it from a circular orbit of radius R1 to another radius R2(R2>R1) is
The additional K.E. to be provided to a satellite of mass m revolving around a planet of mass M , to transfer it from a circular orbit of radius R1 to another radius R2(R2>R1) is
physicsGeneral