Maths-
General
Easy
Question
Hint:
We are given the value of u. We have to find the value of the equation for given value of u. We will first find the degree of the equation. Then, we will solve the given equation.
The correct answer is: ![open parentheses 2 space C o s 2 u minus 1 close parentheses space S i n space 2 u space](data:image/png;base64,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)
The given value of u is as follows:
![u equals tan to the power of negative 1 end exponent open parentheses fraction numerator x cubed plus y cubed over denominator x minus y end fraction close parentheses](data:image/png;base64,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)
We have to find the value of
![x squared fraction numerator partial differential squared u over denominator partial differential x squared end fraction plus 2 x y fraction numerator partial differential squared u over denominator partial differential x partial differential y end fraction plus y squared fraction numerator partial differential squared u over denominator partial differential y squared end fraction space equals space ?](data:image/png;base64,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)
We will simplify u before solving it further.
Let z = tanu
Here, z = f(u)
So,
![table attributes columnalign left end attributes row cell z equals fraction numerator x cubed plus y cubed over denominator x minus y end fraction end cell row cell space space equals fraction numerator x cubed open parentheses 1 space plus space begin display style y cubed over x cubed end style close parentheses over denominator x open parentheses 1 space minus begin display style y over x end style close parentheses end fraction end cell row cell space space equals x squared fraction numerator 1 space plus space begin display style y cubed over x cubed end style over denominator 1 space minus begin display style y over x end style end fraction end cell row cell space space space space space equals x squared f open parentheses y over x close parentheses end cell end table](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIgAAAEeCAYAAABR8l24AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAACUN0bFwwAACsZJREFUeNrtnV+kX1cWx7e4IsYVIsaIqhJVUTHKPIxRV5RRFaPGvIw8RFW4Ik99KBU1osZQ81AjRl6qquoKY/RhXFHGGDFqXqpqjKohqg81IkRVVVzhzl797Tv55Zezz+/sP+fPOuvzYZHc+/tz9j7r7j/r7LW+zulmP9iet0+9PW/8OqCFU96+5DogxiFvd7kOaOK4tz96e5nrgNj8f57rgBhHvf3O2zbXAW3cS/yLn8J1QAYXvL3Z8PPfht81seXt4x4c5B1vv274+SthtCi9DsjkE28/Wvr/y2EB2DTvy1/sh96e6MFBXvL2+5Wf/cDbf8KitPQ6IJMXvL0V/v1zb3/rYVHZhbPe/rTysyvefsMtGp+/ejvjFtHJ45V2GW0W27r+e+n/P/R2y9sRbs/4yDwv4esf97Qt7cp3S/9+K1wXjMyz3v4cbsi5kR3kH95OBpPR4xC3Z1zkRvwlLAY3w67g+IgO8p63F73tOAJhoyNz/I0Vh/iFt/dHdJBXwnb3X9yecTns7QNvjzX87nrY2YzBL4NDvcgtgibEMf5JN0AMmfJ+Rjc8zJVIrOA1Y/1w2tsu7rCeE95uhkVkbNGXE4iCGXDMLaKaj9EVsMqREJM43eN37Buw2SLby61KNxlmxjW3CFIBPMJltzgLAfAI5wxuZyGBryNriMN0DQAAABgmJy0il9S0B5gIXdIiatAl7QEmSN9pEQeQ9qCYlLQI0h4M0mdaxDKkPSik77SIZUh7UMYQaRHLkPagiKHSIlanMtIeFDBWWgRpD9AKaQ/QCmkPEIW0BwAAAAAAGJ5Lrp+zIlq4GvoAGpCsQDkOsGG4D6Tt8pjgDO7wMPIw7wtvz9AV38dzpC826YoHyBnVazNsV67C1dXQJ+AWT30lAWzuJStSFK6kxss3Ll7jxRSvu36PAEyFVIUrObbAeVrPZ65b2QrN5ChcyUm8z607x1Pe7sy8jSUKV7fD1GQW+YvaMdDOXIWrHWdcV0/OkF401N5UhasLoY/MIuc3ziq99iEUruRo5g3LDnJH8VZuCIWrTQNrtFa+c3pzV4ZI9TzkHk4GM4fmiopDpXruWdjixULN2ktuDpHqaaYsaVOoWXvjh0j1NOMgTaFm7Y0fItXThIPEQs3aGz9EqufsHaQt1Nyl8U+FncGnE2zbEKmeJkaQWKi5S+PfD++bYkcNkeppqnb+vYLG70+ws4dI9VTpIDnVC5tCzZodZKhUT7UjSJfqhetCzdpHEIeDxKlRvRAHmfkaJKV64RgOUlM8aSyVK9UOUlq9kBFkxiNIjeqFOMhMHaRW9UIcZIbXXLN6IQ4ys2uuXb1wv+NrNKty5mbXzWKRanoLl0FKdh0OYrDxqdl1OIihtuZk1+EghtqZm11n2kHuG2prbnbdnmUH0Zz2kEtKdt2GM5728JW3Y0qvvdaRh3XrFtOJU3Ke4gXF11/jyEMbkpxlOvXyXac7e71vwcbt0EdmkVW99upCpUce2rjujJd/kBPrt5W3oU/BRll/mC4gI0hOiVaNlz4FG59zlKD6nlfdIvlIG30LNsrUexn3WHSqtjKYfQs2Pu7tW4ek/P+54vTUaB9CsPFtb2/gFg+QYfqW61+ZWwNSjpxS3JEFn/Vi/ofDon0Ld2hGAkPXDLdfptnRqj7WzBEBAKg7+mDDGFMMAAAAwEjMTR4VudOKzFEeFbnTSsxZHhW50wrMVR51eapB7jQTLfKoqUJCyyB3WoAWedQuQkLrHAy50wy0yKOWCgkhd5qBJnnUGkJC5uVOU9Emj1oqJGRe7jQVbfKopUJC5uVOU9Emj1oqJGRe7jQVbfKopUJC5uVOc+b0dcP0lISFSoWEzMudpqJNWKiGkNAet72ug+S8ti9qCAlxgs91r8KjyUFqCQnhIIGuVXisdSwOsrSlW1eFBwcxzroqPFMWFkIoaKC4QVsVHkYQw3SpwoODGKVrFR4cxCApVXhwEGOkVuGxICyEgxRw32CbCbUnYK2ov/ki/aloLuqfg/ki/aloKuqfo/Kwivki/aloK+rf5flSG+aL9Keirah/qcqD+SL9qWgs6l+i8kCR/gy0FfXPVXmgSH8mmor6l6g8UKS/YOunIXm7ROWBIv2FTL2of6nKA0X6C5lyUf9SlQeK9Fec3+dWgooi/ZWZW1H/UYv0AwAAAAAAAAAAAIzOQY6OnA2RRwTP0yUQQ06JfUk3QAzJ7blLN0ATckZEHspxGBmi65DzdAXEOOoWejHbdAW0cY8usEOqupScGPuYbrNDF3Wpg/WHjBwfenuCbrNDqboUGNi6lqpLwcwpVZeCmVOqLgUzp1RdCmZOqboUVGBKalKrlKpLQQWmpCa1Sg11KajE/kQ+Y5ka6lIwUweppS4FMx5BAAeBOTtIqfJT6mf1oT4FjCCAgwAOAjgITNQxNC/qyK6DzpBdB62QXQdRyK6DtesQDhVBFLLroBNk1xkhR8CQ7DpjdBEwJLvOMKUChmCAEgFDaBhqJeT8kbcnZ9KuXAFDiCDRxEth/tZOiYAhzHy7VyJgCGuQOfum4usvFTCEFk6ENchJpddfKmAILUga5W5wEoBHRg4Zlo/SFbboGnIW5zhFd+mkNHcjJeRMPohBCDnDWmqEnPexaY6sNS6akDNEIeQMUQg5QxRCzhCFkDMAAADAeKQKC4ExuggLgWEQFoJWEBaCtSAsBK0gLAStICwErSAsNEGmJDSEsNAEmZLQEMJCE2YKDoKwEA4SBWEhHARwEMBBVt6Te4of4SBGEMBBAAcBwEEgabEIAAAAYIUc1QcwRpcSXGAYSnDBWlB9gFYowQVRKMEFUSjBBVEowQVRKMEFAAAAAAAAAAAAAACw4JKrfwTwavhcUM6WW5zy2qj8ufJ5UrTuDF2sFzmj8YW3Z3r6/NPh8zfpap1I6sG1nr/javgeUIYc5vnaNZ/XWKVE0uOEt2/C94EiXnfdT3aVSnqIg6HuoIzPwgK1C6WSHnJo+XO6XA9ShflOwutrSHrc9naKrh+Og5ofkmvykbcnE94rqY87id9XKumxE74XBkakNSQg9UnCe0R94WLi95RKelwI3wsjcS/htbthXeESnapE0kNOsd/gNo2DRCtvrhlllrPr72RsO0slPTYT1z1QiRNhDXKy5S/3bjBZaG6E9UTqFFEq6XFoZR0DA+1GdoOTNCHO8JV7EEp/emmBm0oNSY89btmwI4fM6UdbXvMrt8hia9oBpVJD0oNKixXoWrLpRoe4ggSzXqtwo2pJeuAgKzGK3ML1XUo2rfvMD1Z+d24CNwoHqUStkk0S3n58QjcKB6lIacmmtl3Dfocb2YekBw5SaYo5iDuUlGz6qbe/T+xG4SCVqFGySd73Lg4yP2qVbJKTXNs4yLyoWbJJdjFncZD5ULtkk4TWj+AgEBuJ/tvy+/sjXReh9gnwB7eIf7zZ8pqch3WlbDge1k2Cn7jFM5g25AHesYGvS9ZVPO5Xwm7imqaGpMdZx4EhNUh8JPV8aKmkx7aLx2VgYpzP2DqXPh+67ji0rAY5aHQ7430lz4dk/UHagyLkbGnqAaDc50PPORKn1PGqWxxC7krJ8yGZzi7T5bqQKaJr8nbJ8yE5j/KtQwJEJVc67ERKnw+97e0NulonMiLcallTlD4fktP0FJBRzrOunxJUh8NCeIsu1o8EsWpXGpKp66KGxv8P5RkEhyhMVGIAAAVsdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG10YWJsZSBjb2x1bW5hbGlnbj0ibGVmdCI+PG10cj48bXRkPjxtaT56PC9taT48bW8+PTwvbW8+PG1mcmFjPjxtcm93Pjxtc3VwPjxtaT54PC9taT48bW4+MzwvbW4+PC9tc3VwPjxtbz4rPC9tbz48bXN1cD48bWk+eTwvbWk+PG1uPjM8L21uPjwvbXN1cD48L21yb3c+PG1yb3c+PG1pPng8L21pPjxtbz4tPC9tbz48bWk+eTwvbWk+PC9tcm93PjwvbWZyYWM+PC9tdGQ+PC9tdHI+PG10cj48bXRkPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz49PC9tbz48bWZyYWM+PG1yb3c+PG1zdXA+PG1pPng8L21pPjxtbj4zPC9tbj48L21zdXA+PG1mZW5jZWQ+PG1yb3c+PG1uPjE8L21uPjxtbz4mI3hBMDs8L21vPjxtbz4rPC9tbz48bW8+JiN4QTA7PC9tbz48bXN0eWxlIGRpc3BsYXlzdHlsZT0idHJ1ZSI+PG1mcmFjPjxtc3VwPjxtaT55PC9taT48bW4+MzwvbW4+PC9tc3VwPjxtc3VwPjxtaT54PC9taT48bW4+MzwvbW4+PC9tc3VwPjwvbWZyYWM+PC9tc3R5bGU+PC9tcm93PjwvbWZlbmNlZD48L21yb3c+PG1yb3c+PG1pPng8L21pPjxtZmVuY2VkPjxtcm93Pjxtbj4xPC9tbj48bW8+JiN4QTA7PC9tbz48bW8+LTwvbW8+PG1zdHlsZSBkaXNwbGF5c3R5bGU9InRydWUiPjxtZnJhYz48bWk+eTwvbWk+PG1pPng8L21pPjwvbWZyYWM+PC9tc3R5bGU+PC9tcm93PjwvbWZlbmNlZD48L21yb3c+PC9tZnJhYz48L210ZD48L210cj48bXRyPjxtdGQ+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPj08L21vPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtZnJhYz48bXJvdz48bW4+MTwvbW4+PG1vPiYjeEEwOzwvbW8+PG1vPis8L21vPjxtbz4mI3hBMDs8L21vPjxtc3R5bGUgZGlzcGxheXN0eWxlPSJ0cnVlIj48bWZyYWM+PG1zdXA+PG1pPnk8L21pPjxtbj4zPC9tbj48L21zdXA+PG1zdXA+PG1pPng8L21pPjxtbj4zPC9tbj48L21zdXA+PC9tZnJhYz48L21zdHlsZT48L21yb3c+PG1yb3c+PG1uPjE8L21uPjxtbz4mI3hBMDs8L21vPjxtbz4tPC9tbz48bXN0eWxlIGRpc3BsYXlzdHlsZT0idHJ1ZSI+PG1mcmFjPjxtaT55PC9taT48bWk+eDwvbWk+PC9tZnJhYz48L21zdHlsZT48L21yb3c+PC9tZnJhYz48L210ZD48L210cj48bXRyPjxtdGQ+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1vPj08L21vPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtaT5mPC9taT48bWZlbmNlZD48bWZyYWM+PG1pPnk8L21pPjxtaT54PC9taT48L21mcmFjPjwvbWZlbmNlZD48L210ZD48L210cj48L210YWJsZT48L21hdGg+vT6SEQAAAABJRU5ErkJggg==)
The degree of function is 2.
When z = f(u)
![x squared fraction numerator partial differential squared u over denominator partial differential x squared end fraction plus 2 x y fraction numerator partial differential squared u over denominator partial differential x partial differential y end fraction plus y squared fraction numerator partial differential squared u over denominator partial differential y squared end fraction equals g left parenthesis u right parenthesis left square bracket g apostrophe left parenthesis u right parenthesis space minus 1 right square bracket
H e r e comma
space space space space space space space space g left parenthesis u right parenthesis equals n fraction numerator f left parenthesis u right parenthesis over denominator f apostrophe left parenthesis u right parenthesis end fraction
F o r space t h e space g i v e n space e q u a t i o n
space space space space space space space space space space f left parenthesis u right parenthesis equals tan u
S o comma space f apostrophe left parenthesis u right parenthesis equals s e c squared u](data:image/png;base64,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)
![g left parenthesis u right parenthesis equals 2 fraction numerator tan u over denominator s e c squared u end fraction space
space space space space space space space space space equals 2 fraction numerator begin display style fraction numerator sin u over denominator cos u end fraction end style over denominator begin display style fraction numerator 1 over denominator cos squared u end fraction end style end fraction
space space space space space space space space space equals 2 sin u cos u
space space g left parenthesis u right parenthesis equals sin 2 u](data:image/png;base64,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)
g'(u) = 2cos2u
The solution will be
![x squared fraction numerator partial differential squared u over denominator partial differential x squared end fraction plus 2 x y fraction numerator partial differential squared u over denominator partial differential x partial differential y end fraction plus y squared fraction numerator partial differential x over denominator partial differential y squared end fraction equals sin 2 u left parenthesis 2 cos 2 u space minus space 1 right parenthesis
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space](data:image/png;base64,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)
The option which is "(2cos2u - 1)sin2u", is the right option.
We need to remember different formulas for this type of questions.
Related Questions to study
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,iVBORw0KGgoAAAANSUhEUgAAAKYAAABrCAYAAAD9/vkdAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABFGSURBVHhe7d0JXI1Z4wfwX5ulVJRlGIRhllJobGV5xQxe64i8r7FTzBsxiHdsYwwxM4p5mWZGQ5Nl8v61WrK8yFJCY4YwUUKLFuXeyq3Qcp//c55OJC333u69Pel8Px+fec65t6H63ec55zznnEeH44GpNXluLML8Q3E1sxG6DHbEJIcuMKKvvXHkuYgN80fo1Uw06jIYjpMc0EXN3ywLJiNKuvS/DCMqFc6YBUi/HYe0/BIIlXrN0dmmK8z1hBd5hchKeoCsnALot7PGu630+S9Jx+24DMiNm8OsRQe0NefrGKaWKpwxDWEuC8Biz7/Q1uJtNI2PwKUsOX2tEHEh/ogx6IYOzwIxe+QynJTwrxmaI/d8OB6264DnUX44dK+Yvr9qEokEt2NjaYlhXvfapVzXyBBNGxuhhXljmAx0wpi3St8izwzEjkutYN9OF0YdbTB1lBxerrsRV6wL45at0ExPH50Gm+LMtlDh/dUJDQmB369+tMQwr6ukjcmhJDMW54744r8RuXhxvow6g0SzrmgslHRgOmATvv/bSSxeex5PhDqeUTeYJYbTQuWKi4vxy04fnD93DkmJSbSWYV5VSTB1oNfaEkPGL8KCcW1evEFeWIhi3ReNTf5tBrD87Ee45W3CF0cySwOs0wgGxc+El6ty7uxZegTs37ePHjHMqyoEk3R+HiAtJR53s/VgaPiyI9PY1hZtslJQjOfI/CsGf9y+jxy0xugt2+BoWgBOh39TcRokrXuWfkEVmhoa4l8LXNGjZ0/07tMbRUVF9BWGeUnxcUy5FKe8A2AyZz76VRxM5S/Pxfr6fOfHGz6yKVgywoy+ULnr167hLH/mXLJ0Ka1hmFdVcimvgq4ZPp4/Cob30/lzZgV8KPWfpSKh2Vi41hBKhlGE4sEkGnWAtXVb2gGqoMnb6GHTsfLXGEZJCgeTXPGjLkbREsNolsLBvHnjJjZv2iQM9zCMpikczMCAAGRlZiL8zBlawzCao1AwpVIpzpw+LRz7/+YvXNYZRpMUCmZaaipWrl6F9u3bY8zYsZBKJPQVhtEMhYLZ3doao0aPhrWNDSY5TYJ5y5b0FYbRDIXbmAyjTSyYjCixYDKixILJiBILJiNKLJiMKLFgMqLEgsmIksLB1NHRwQRHR1piGM1SKpg2PWxoiWE0i13KGVFiwWRESQPBlCMnPgKnIhOQW1ZOuIyoO9kv1qgzTE3UHsyShEP4Jfg6YvbMhdPmGORc8MCGcFOYXtiIzZH59F0MUz31b0P4/BmeN24Cg0c74eLRDqMKfBC/LBTLSzZhwg+2CPh5NO5cu4bg4GDo65WuW/9kwgRh25gy48aPw+FDh2np9derK5NO2ugxY3D0yBGhbGBggOEjRyDsyFGh3KRJE/zNYQhOHj8hlJs1a4Z+dv1x5lTpROjmzZujZ69eLzZmIMvlray7w3HiRKHMaAkJpvqVcMmBntzuGw+5neP+zu1ILeGKE77jhk3ay8n4V6/9+Se31cur9K0iVlhYyC347F/c5ImTuKSkJFrLaINGOj95t8IQ1XoKZlq3RMf2BsiWyMFJn8DYwgKN6HvqA99duzFi5EjYDxyA77224tmz6re/YdRH7cHMvfwdZiz6Bcd8V2L64gNoP380Ck+G4Wi4DsY629ebYN68cQMymQy2H36Ipk2bYsbsWdjGh5P/MNN3MBpVeuLUsHwJJ8kvoQXxX8rz8/O5zxct4goKCri8vDwu7s4doX7/vn3codBQ4ZjRLO2MYxqawcxQO3+VOuz4z3bMdXYWzpTkrPnnH38K9Z9OnYrfo39H3J04ocxoTv1Ji5ZEXIhAixYthAV4RElxCZ7ISncAJT3+FV/8G94//CAEltEcFsxyyPr5kKAgzHGeS2teZ2xsjIVuC/Ht5s2Qy9ktA01hwaT4Zg22enrC7fPF0Nd/uS+oeUtzYS19ee++9x769uuH3/bvpzWMurFgUkcOH4ZNjx7o3LkzrSkleSx5MVhf3thx45CSnPKi/cmoFwsm7+HDh7gYeRGTnJxoTc1Ie3Op+zL4+fri8ePHtJZRlwYfTLJ73VZPLyzjQ6arq9yPg9zedF+xHJs92C546tbgg7l/7z6M/PtItG7Thta8irQxyWW7Kh0tLDBq9Cj8/ONPtIZRhwYdzDu3byMxKRHDR4ygNa8jbUzS/qzOsI8+QlFxES6cP09rmNpqsMEk973JeKS6HlCw0M0NwUHBQnuVqb0GG8yfvL0xbcYMmJqa0prK6ejqCG3JmpDpdStXrRLGN9lkj9prkMG8cuUK5HIO/fr1ozVVI3eBBg0aREvVa/NWG0ydNk3oTDG10+CCmZubi71+e7DAbSGtqZ5UIsWpU6doqWb97ezQsmVLvl36+tgno7gGFczSuzteWLBwoUKXZ1XNdXHG+XNncTc+ntYwympQwfzfyZPo0KEDLK0saU3NDBoZoE0VQ0lV0dPTw6o1a7DVywt5eXm0llGGZoIpz8W9hHSUlBZEsUoyIyMDYUfDMGvObFqjGDL1zcLCgpYUZ2Zmhs9cXbFpowebXKwCDQSzBJLfPeG8+ozwaL88EaySJLOAtnz7HdyXu78yQUMRT3KfIDo6mpaU06NHD3S37g7//b/RGkZR6l8lSRQEYLZrIbz9JuK0sxP+qmSVZEhwyIuQ9O7TB2lpqUhLTRPK/fr3R2LiAzzKeCSU7ezt8aO3N3r16iWUlZWSkowhDg7CRF9lpT5MRVjYUcybP5/WKIf8eNesWg2nyU7C6ktGQSSYapd/kJs1cz+Xz2WqZZXksbBj3OyZM2lJefzZkuN747SkHIlEwp0ND6cl1chkMm6+yzzucVYWrWFqouHOj0mtV0kWFhbybcOjfDuvE62pf8ja9aXLlmLjhg1ssoeCNBJMWXISMjOS8CDXAENda7dKMigwEOM/+UT45aqqbbu20FNy5lCZpwVPEa+GYR8yuXjo0GHw+XknrWGqo5FgGr/vjrATq2BlqotGVvOwwXUQBrt9hTnvK9fxIEMtVy5fwbCPhqG/vR2tVZ65uTl09fRoqe6MHT8O0mwpLpy/QGuYqmj4Uk6puEpy7549mD5jujBPMvy06g9XvXXzFoqKimhJOSamJujbty8t1Z778uU44P+b0KliqqadYKogMzMTKcnJ+LB3b1pTN54+fYqkpCRaqj1yx4lM9vDg25vPn5MBNaYyog2m765dmOviQksQ7tioysrKSpj9o4qiwiI8elQ6bKUuZHLxpMlO2ObFJntURZTBfHD/vjD7p2vXrrSmtJ2oquycbMhLSu9DicXQYcPQmD97khEH5nWiDKbv7t3CThjlXb9+nR4pjwzcl6i4BtzM3Awff/wxLakXmVx8/Nhx3L17l9YwZUQXzJiYGLz1VlthbqMYZGdnIyIigpbUizQv1n75Jb775hs22aMCUQWT4zjs43viM2bNpDUv9ezZkx4pb+CggWjUSLV95ji+SaHJGenkA+jMt6XZZI9XiSqYZDEX2faPbMNSkUQioUfKI5sSqDpcpA1kbkCXLl1wwN+f1jCiCSa5VUcmdlS16UBKSgo9Ul5BQYHKZ6Oalu+qy+y5c3D196u1aku/SUQTTLINC1nfreolV1MUWb6rDmRy8dp1X2LH9/+p1dXhTSGKYJJBbHKbrrr13UM/GkaPlEcCr8mlFOpCFr59vnQJvv5qPUpENrylbaII5v8d+C/+MeWf1W7RcjnqEj1S3onjJ+rNklprGxvY2dnBZ2fDnuxR58HMyckRZu/UtJSWtBPrQmXbEGoa+ZCSneQiNTRMVR/UeTD3/OqHWbNn0ZL4VLUNoSaRneRWr1mNX3f7Ii21YU72qNNgkh86GVgmcxVrMnac6met+tLGLM+oWTN8sXoV1q/7qkFO9qjTYPr6+grDJIqozQYCtWlj6unrwcTYhJa0q1u3bsIcTvIYl4ZGLcEkvWryXBxlZEuzYWJignbt2tEacSKD/bYf2tKS9pH2LemhHw87RmvqDhkLvhFzQyt3qGoVzPT0dOzYvh3jRo9R+hEjt2/HYuYs8bYty+Rk5+DcuXO0VDeWLXdHcHAQEhISaE3dIG3fn3/6CdOmfIqQ4GCNdkhVXr57MTISa9esRUH+y7XiVt2706Pq5fNfk8+3LavaLLUy5JaiqnMqy75F8oNVFjlbkWaAkZERrakbZFEe+fer+jNQl79u3aJHwDvvvINvPbegffv2tEaNSDBVlSeTccFBQdz0qVM5vgdJaysoyebuXrrI3Zaq/mS05ORk7tKlS1xxcTGtUQ154tn9+/dpSXFk6e/Zs2c5/sNBa5QTHx/PXb16VaWvj4uLo0elyHLiy5cvc/wHhtZoj1wu5+bNdea+WPFv7lJUVK1/H9WpVTDLy8zMpEflybjzXy/ldsbe4nYu3chF5JXWKhNM8ovx8/PjtmzZwo0cOVL44aiC/CLd3Nw4T09PWqOYXbt2CX9UDaWPjw8XHR3NZWRkcEuWLKG1iiGB5tvgtMRxkZGR3Pbt27l79+5xLi4utFZ7yM9eKpXSkmaprVfeqlUrelTOs3DsjW6JQe++B/vml7H/nPI9Y9I5mjlzJtzd3YUlvKreqjt48KDSU+fIPEzyx9LSEk+elD4dTVlkmMrLywu3+EugIvtxlkd65eU7hx4eHhgyZIgwE4nclEjV8hgnaUqQ26baoNnhIlkGskqMYcp/Q02bPIVEqvxi/7L15OHh4XB1dVV67yEiNDQUffr0gaGhIa1RDH+mFoJA1huNGDFC2FtTWY6OjkKQ1q1bh+4KtsGrQj4cZLIH0bp1a2RlZQnHbyLNBtOkI9obZEMi5yB9YgwLC9VmDsXGxgqhcnBwoDXKIWeXwMBAHDp0SAi4olPoyAasJJSkcU8WtKmyv/rKlSsxb9484e/nmxK0VjW2trYvnilEvodOnerv7iQ10fuKR4/VT78jOsnO4kRaHu6nd8Sn03qjJf9RIFsCJiYmCpMVahIUFIT169cL62ICAgKEX46yl5MBAwZg4MCBwjHZ63L48OHCcU3IpTQkJES4nPLNHvBtXPqK4shoAlkuQrYlJAvqyL9fUWlpadizZ49wtibfs42NDfbu3Sv0zD/44AO1rncXG83s9lZBgVQKNDdD2Z4H169dA9/LVdsTI5g3j1aCWd7uXbtw+tRpYYmuw1AHfL1xY52PzdU7hVlIzzVF21ZlTaPnyEzPg1lbcyjfAhcnzbYxK0EuqySUhJVVdxbKmsiu4vLNcp3GwjiE+MeAMy/fXm8Ms+dR8Dt0D2/KXnJaD+b7fNuobCODTxwnCP9lqiCXItJjBTwORyNRuPsnR2bgDlxqZY92unm4FX4IYf67cSSuGPqdBsP0zDaE8q0mVZBHXJP5Dlq+gFZJ68EkyPLc6TNm1GprwQZB1wxW3d5GG0tbdBJGugoRdSYRZl0b81fvPxCw/zoM+/ZBZwNyq9UI3cwSER5dOkWO3MIkG3cp+ic5KRkuc53h5DgRJ44fr/NVpVpvYxLkm5bJZEJPlale9u7pWG72C3ZNIPNJC3BwuiMS14VhRVcOkmsH4bnxALh5+/DNCGPEeoyGp2UofPn3kgVtoSEhpf8TBYQEBb8YirKzt4PLvPlKPd1D3eokmIzi8gPnYHz4SGzdPBk2piVI2DYHO3v6YIt9BL7flIkelncQruOKDZNb4PRSF8Qu/BWLuii/Fyh5tLW+gT4mT/4HLDop/5QOdWPBFL0C5ObqwdSUv3zz5NJT8A4wwZz5PQFpNqRFzfB2m2bQzY+Ct48MUxaPgJkKDTQyg0pMs/xZMOuhwpSbiNN/F9ZtS8PKxwqpMfEoed8GHcuq6jkWTEaU6qRXzjA1YcFkRIkFkxElFkxGlFgwGVFiwWREiQWTESUWTEaUWDAZUWLBZESJBZMRJRZMRpRYMBkRAv4fjEZbZqmMCRMAAAAASUVORK5CYII=)
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) )
![](data:image/png;base64,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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
![](data:image/png;base64,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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,iVBORw0KGgoAAAANSUhEUgAAAWoAAACKCAYAAACD6wDVAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAC0USURBVHhe7Z0HQFRX9v+/9A6CoKIigopYKGKNorFgN9b8NSbGqDF9k03yS9v9J5vsf7PJbswvVZMYjatYiMau2FtQEezEhiAK0i1YEBQE/N9zuSyIlBnmveEN3I8hzj0zAm/em/POvfec7zF7wIBEIpFINIu5+FsikUgkGkU6aolEItE40lFLJBKJxpGOWiKRSDSOdNQSiUSicaSjlkgkEo0jHbVEIpFoHOmoJRKJRONIRy2RSCQaRzpqiUQi0TjSUUskEonGkY5aIpFINI501BKJRKJxpKOWSCQSjSMdtUQikWgc6aglEolE40hHLSi+X4xtW7eKkUQikWgH6agFS8KXYPu2bYg+eFBYJBKJRBtIR83ITE9H3MkTSE1OQcyhQ8IqkUgk2kA6asbatWuZs85AYWEhTsWdQkx0jHhGIpFI6p9G76hTU0qjaHLSxO1bN7F1SyR/LJFIJFqg0TvqlatWIS/3DkqKi/m4qKgYZ06dwq6dO/lYIpFI6ptG7aij9kXhSEwsiotLhAV48KAERcxpS0ctkUi0QqN21Lt374SVpSXs7O1gY2MLKysr/retrS3S0zLwa0SEeKVEIpHUH2YPGOJxoyNiRQSLpkuXPNLTUpGfl4927dvB3MIS5mZA8xaeGBI2hD8vkUgk9UWjdtQV2RoZiazsbMycNUtYJBKJRBvI9DyBtbUNzM3l2yGRSLSH9EwSiUSicaSjlkgkEo0jHbVEIpFoHOmoJRKJRONIRy2RSCQaRzpqiUQi0TjSUUskEonGkY5aIpFINI501BKJRKJxpKOWSCQSjSMdtUQikWgc6aglEolE40hHLZFIJBpHOmqJRCLROI1Gjzpy82YkXbiAgsJCWFtZIyxsCLoEBIhngd07dyEtPQ3PzZghLBKJRKINGkVETZ3Gz507B2eXJmjeogUuXbqEJYvDxbMSiUSibRqFo7Y0t0SXzp0xY+YMTJ8+HYGBgcjMzAREGy6JRCLRMo3CUXt6tcLI0aPFCHBwcIClhRlgYSEsEolEol0aZc/EL/71b/73ex+8z/8mdm3fiTVrVsOlSRPejfwf//xUPAN89OGHAL1LzLcPCA3F0BEjuP3rr75CzvUc2NhY48O//Y3b4o4fx+o1a/ljQpfvM+eLOez7XIe9vR0++vhjbqvL91Hq9yn7PoRbUze89fbb/PHObdsQdeAA/zeGfp99+35HcUkJ/vVF6bkg6vP3Mcb3ecD+9OzRA+MmTOD2r+Z8iRs3b/LHxvx9iI/+L/tedfg+9G/+8WmF30mP7xOxbAVOnz4FcwqQDPg+Sv0+xvg+StHoHPV29qbGxsTib5+UOsQydm7fjtTUVMyaPVtYjMf7772HKVOmIKR7d2Fp+Ny/dw9fMEf13rvvwMrWVlgbPgnx8VgREYFJEyciIChIWBs+ZZ+7P7/xOlzc3IRVoiuNKj0vKTGRbypWdtKEmbl56Z3eyKxZvRo5V6/jt1W/CUvj4IeffmLn4ix+mj9fWBoHe/fuQ2ryZRxjM53GRCL77CUmJGL7zl3CItGHRuOoz5w6hcjISIT26ycsD2NGf8zYvMXI/HEyDk1cm+DG9etYvWqVsDZsMtPTcevmLYSEhPAP7/Fjx8QzDZvjR48hMysT7fza4+zZc8i5dk0807CJPngQV7Oz0dG/I+JZoHTtSuM4biVpFI6aTzdXROD27ds4efIk5n0/F1/OmYNVv64Ur6gfwpeEw8bWBnO++l+MGD0Kh2OPiGcaNhs3bYarmyvefucddO7aFRvWrRfPNGyOHD0KDw8P/PWDD9C6VUssX75cPNOwOcgctVcbb3z4t4/g6OiAjRsbx/lWkkbhqDMyM+Hs7ARHJycUFBSiuLgID0oeoORBiXiF8bl25QrS09PQq2dvPh4/YQL7/Rwwb+5cPm6onIqLw9Ur2egu1uNffuVl3CssQMSKFXzcUInefxC0YTxk8GAkJCYiICCAnf8M7N29R7yiYbJ7927k5ebBx6ct35egfZiUlBScPXNWvEKiC43CUQ8cNAjv/+UvePOtt/Da63/CG2++iXfffw9PTZ0qXmF81q5bB2d24wgbPhRr16zhttFjxiD18mUcY5FXQ+VQTAxcXd2QmZklLMDgQYMRE30It27dEpaGx8FDB3k07d+5M/bs2Qsba1v4tvPFzp07xCsaJoeio+HXsQPy795FxMpV/LPYrFkzbNu6RbxCoguNajNRK5w9cwbZWVkIDgrm4+NiY6l7jx7o6O+PPQ00yoplTvra1asYMKA/sjIzEHes9LiHjxyB1m288J9Fi/i4obGHRZW07DZt2jOlBjPA0toSL770EiwsLRG+eHGpvYGxYtky3C8sxNPTpnHZhgdiBvvaq6/jxo0b2LpFOmtdkY66HoiKioKbmxv6MYdVmZnPzeKRZUNct927dy+aeTTjaWkWFpYoqrD09NyzzyIjIxOHY2OFpeFA57szuwHb2tsLC2BhVpphNDQsjM2gjuFWTml+bkPiyOEj6PPYY/yxhWWFjCr2sH37Dvh93z5hkNSGdNRGhpY1SqPKAcJCJe4VTgO7iEO6h+DMmdPC0DCIYh/KvDt5mPbsdD5++dVX+AyijGaenujcuRN2NbD0rQgWVRYXFWMqiyrLePkVduy9So99wMCBfDax4Jdf+Lih8M3XX8OjmQdGjhrFx2FDhz4kePbczBkwMzPH/J8aV3pmXZGO2sjQ5opb06YPFTt88o9/iEelTJw0Cba2tmxKvERYTB86btpQsrWvvrhlxsyZKCi4h1Ur6zcbR0miD0ajW0g3Maqad997D1euXME+NuNoCNDS3tnTpzGTnc+aeOON13GCBS6NJU3REEzaUVPaXV0ovn9fPDIutEZ76+ZNPFMhuqqOgK4BuHTpIlf+M3V+jYhAUVGRTlWfgewGlpSUxE6SMJgw33/3HZqyqJJuvLXRpXMXnsbWEFi7Zi2CgrvBs1UrYakaet6nXTssXNiwZhNqYLKOeml4OA4fPixG+vHFF3PqZS10186daNe+PVxcXISleoaOGA4nJyds32H6WQFHYg8/tMxBzP/pJ65DUplJTz4JW2tbLFps2huLFEQknk/A5MmThaWcqo6dlgIK7xXwpRJTZtvWrcjPz+PZVRXZvWsXwpc8OkN8/y8fICfnOv93kuoxSUdNlU4Z6emYNr10vVNfhg4NM/pm3aqVq3CvoACznn9eWMr5+MOPxKOHCQ0NRVZmFmKio4XF9Phx3jxe3FI5qiSFmeJqZGYCgwORnpbGp9Cmynp2fXXo2BGdu3QRlnKqO3bam0i+fBn5JpymePTIEXQPCRGjCtDhVnO+gwID+cajpHo05aij9j68C5yYkCAePcwOFmV26txZjMB3zGk5415+Pk/5SkpIFM+Ulo5X/j49evWCrZ0dFi1cKCzqc+zYUYR0q+ICZpTwq/hRevXpg+bNm/PcY1OEosoLF5Iwbtw4YSmHyvVtrK3F6GGGhIWhSRMX7N+/X1hMC+oWlHvnDl548QVheZjgoMAqBbhIVc/e3h4rTFRKgO8tsPM6qYpZhJm5GczNq9bSoY1WCwtzLFtq2rMJNbH4hCEe1yuL//MfnGJOlTZfAlgU8hObHlJRBEUZFaGsif37fsf/vPsuH5Pi3ZKlS3muKlU7JSRd4B9wcs4njp/A+YTzPE/5YlISunUr39Sh6jhKi6IcXuLSxYu4nXsbwcGluc1K8sPceSgpLsZLr7wsLA9jZWkJb29vMXoYn7be2B+1n08nO/j5Catp8MuChWjq3hRjx48XlnJaeXrCt317MXoURwcHdt5OoKjoPnx8fYXVNFixfBkLJDpVey219vISjx6F8o7j4uLg7OQMz5YthVX7UKAUuTkSXbp2gb+/v7CWQ+fQj80wLNm1XhWUERQffw5t2eeApIYlD6OZiHrM6NEIGxKGc2fP4pdFi+DPTursFx7dfDrKHLUNi4bL8GIXvS2LzO7evcummZ0x9amn+FT7j5Mn4evji2nPPstzd2kaTep5ZXTt2hV3WNRDZa1qQhE99WqsaUOpf4VUvcq4ubuzC9zP5KoVd27bzm58ufjT668Ly8PUttFE/SxbeLZgU2nTOm7aOKXZwhR2HdYFuhY82DmPjTWtWdRSFizRLHVcFTflMiiTqTpGjBoJJ2dnbJFr1VWiGUft3qwZ+vTrC1sbG67JMULkX1aGKrzcPdzFqBQnZxdeQDJk6FC0Yo6bolOSLaXybHfh6NjECzcrrP25ubry/NYDKq//btq0GW3Y71PVWqWuTH36aa5NsvDnBcKifWIPxyIwMIBNaaue7urC87NnIz8v33Qq2NisifpxUuZKTZC0LaXjVccYdu1T5R7lnpsCKWy2mpJyGQHsfBtCr169eIu8qjaZGzua20w0tzCHPZv2Vgc5rAclD4spcXXSCkUj3DlUUCx1ZndqaxtaDy03kva0GfsnumRg1BVajsm5kYM/v/WmsFTNnDlzxKPqCRs2FCdPnODr8FqH5Frvs6nw5BqiSiovvpJZvbMqIyAoAAdMZK06nEWV1B3oibFjhaVqrl69hrTUVDF6FO927dCSzTgOUNcQE2D3vt/h5OSIIUOGCMujHD18GBvXbxCjqundpw88PT0Rtd80jtuYaMpR//vzz+HVpg0yMzKE5VGaNW/Ons8Uo2p48LAz5zrT9F8F502YM+feWsV1QHIwpLlcG5RbXRt9+/VDG/bezJnzpbBol/j48+jdu48YVQ0ti6SmXxaj6qF0PdqE0rqqYGpSChITL6BHpTTEukLFP/n5d2t1bvUNLSempV5Gv9BQYamaW7du48bNG2JUPaNGjuSzCUpllZSjCUe9cMFCfP7ZZ/Dx8UFQcDDS09Lx048/Yn9UlHhFOVRmXFype3heXh7y79xBQnxpdgf1oSMRmIMiEuPdxth/WVnlim3btm+HnZ09L11WgzU8qixSVKHvvb98wI4hk7cN0yokMGRrZ4tRY8qbCRvKk5Mm4vQfp8RIm+yO2gOXJi5cHa42aKNUlwChT5/eiI05JEbaZHNkJK+0pWi4JlzYrLaJS+2bhF7e3vD19cWROtZINFQ04ag9PNzRoX17PlUmqU+KQumrqk22Xr17w8HBHhvWl+ZB01IARZo9evZkU8psPsVq4+XFszko04KgYgu66JtU2E0+z6K+2tYSDeFCUhK6V8pYqY7mHs3Eo9rp3ecx3hhWi1AVZXJyik6zCHf24faqZUOxjCD2/UhV8P/9/e/Coi3iz5zlef19+/YVlpqZNv1ZnQKEMWPHwtHJGd9/862waAvaKL+SfQUjRfPXmujRuxfGTah+o7Ei9P4U3r/foKQEDEUT6XmUzlNxs42i6latW4vRo+Qx53zm9GkMePxxWFpZ8bQfPz8/vmlHa3uUxkY277Ztxb8AH9OyChFzMJr3TiRN6jKUTM9bFh6Oe/fuYWYVxS1VUVs0UpGg4CBe8JOcfEmVVEJD2LhxI4rYB4xkLWuDzreDk5MY1Q6psG1ct55n9/h36iSs2mAlcyi2tjZ8mUZp7Nj3pfRMb+82cPfwEFZtEM6uc8rzHzpsmLAoRx6bIVPGz5Cw6te9GxOaWqPWFUp1owtk3Zq1wqIfx0+ewPARw8VIWagfYHJyskFZHrUR2j+U54XTbrtWiD97FqmXU9FNh2i6rnTv2QMnjmurvyJlKFA0PXDgYGGpHeruoytUnEVZS6tXlzaX0ApbNkfyPp+kqa0r+mjs0Myaeol+/dVXwtK4MUlHTbzALpCQ4Eeru3ThyYkTdVpLrAs7du6Eg70jRowcKSy1U9bhRVcGDR6Mpk2bYquG1qp37twFFxdn/rvpAglU6QtF6rQUYMyK0trYsWsXfHx90CVA9xvzmrVrcSpO9zX3l199lc/2tNT8+MCB/ejaNVCMaofUE1dERIiRbkxmAVnKpWS+xNLYMVlHTbRs1Vw80g+1NhATEhL4RmhwiH5LEmUdXvTh8f4DkJOTg4NsWlzfUFSZfSVbZydNnDhxknfl1pf+bDZxOSWVRfB1U05UkshNm3Az5wZmv/iisOgGbW4X3i8QI93o17cvr1jUAosW/gIrSytMnfa0sOgA9SitlFZbG5Sm2LlrF/zWSLrz14RJO+rP//Uvvl6rFTZv3AgHBwe9HFZdCeoewkuRDx6qf8Em2vlv2bKlnss9D/gffenDHFazFs2wY8c2Yak/SBHOz7+jGKkL6YBQaXV9pymSNMNJdmMepsK6dFXQ0kp+/j0sXvQfYWmcmKyjXrhgAdf2iNVI6ybKJ7169SrCwoYKi+481OFFD6jsvrCgANu31p/ToqrBW7dz8eprrwmLbvAuJ3XMOR49YgRyc+/wgqL6gvo7WtvYPNS1RFfqeuwTxo9HBpux1edSwPr16+HV1rvKNnI1MWRoWJ3eK2LYiGFcB6QxY5KOmjIq9uzYiXt37yIh/ny9Oqoyli9fjhYtPPVaqyyjcocXXSEdEMo5PXHihLAYH8rE8O9oXLEomhJTFkTMofrJMb6SmclncvrsQyhBuw4d2GyiOXZsr59ikL179iAt5TJef+MNYTEO1MbL1dUV337zjbA0PkzSUX/9v1+hgEWSVE5+NTu73tfuqIoqPz+/1lJxNShLhatKlF1tqLjFxbWJTp1blGbUqDE813bd2rpl/hjC8uURvAGEWhvSNTF1yhTcunUDmzduEhbjEXMoBt16dK9RXEktnpo8GRkZGdjfSBvimpyjJhW540eOci0Jaj9P1X9nTp9C5ObN4hXGZ8e2HfD3r7/c3uDgICQlXuAzDWNB4vakPTJseN3SHKny1BBFQDd3N3Tt0gUXLlxA8X3j9e2igqorV6/g/xiQM23IsdNGuH/nzrwOwJhQo428vDu8tL0ukEb3EnZjrys0i6LZ4/GTJ4WlcWFyjpr6sZWUlH8wyVnfzLmJE/WkuEWRrKWVBWbMqtsFTFTX4UVXSGmQxKV+WWA8db2fFy2CR7PmGFyDEI/aPEkC9Q+AJeHGm03s2rUbHTt25MsQdceM/6krkyZMYAFKIe8aZCzOn4+v90KjCePG8Znr+nqYRdU3JuWoKY/0ckoyf8zV78zMS7/Mzfhm3jo985ENhQoXTv3xB4YNM6x4proOL/ow5omxvIlCXfKT9YWiymtXr2HSpInCoj8klGVtZSNGdadbcDd+7tNT04VFPUi2gJbcDLkpE926BSOkR91qAAgrW1vuNJOSLiDnWo6wqkfEihX880ba7nWGd3gxzN3QbMLXx4eLfhlzFqUFTMpRX7x4CW5N3bnmNHW/cHB0gJe3F9f6cGniytXLjMkKdgE3dXfHwMGGrVWOrkZ7Wx/8/P3Qjk0Pt0RGCot67N23D+3at2M/89FOHroyaeJELmFqKKQ53rxFc6xZ85uwqAflyft3qvsxl6GPZEB1UHUurRWvXadudEkRLMkrdDJwaY8kUJ9WQKBsCvseFpYW+G1148qt1kwrLl3o6OcHf/+OXEqSdA9IKvOZZ6ahz2N90KN7TwQEBjJH7iZerR/6an1QVHn06DHeUYactSHU1JpJHyjli5f23rjBO9iowaaNG5GSkoI/vfoq+8BU3VZJF2rSHNeXDu39sG3bVt7mqS2LuNRgZcSvuMWujxdp49TAyFAp7rPo/vjxY2jXti2auNXtuq+NiIgIvvdR17XpilBUrgQ5167xm2b79u15p/7GgElF1NQFhlo00dcT48bC2dkJ3Xv14OPOAV3QrkM78Ur12bNnL4tgfQ2KKtVg1OjRqqatnTt7joto0fRbK9DGon+nzti+TZ2SelJoJMfQqSM71wo4G1rCoxQ/QxkwcCBaeLbE2g0bhUVZrl25hrTLl3mXcC3xxLhxvAnwxg3a1upWEpNy1JWhdlv1AYm5U/StVFranC++EI8MZ9CQwfBgs40vdegaoy8UXdHunRIa28vClyrirMqYMXMGL82mJslK89vq1XyZYczYJ4TFMK5dv47UdGXW1F/702vIzsrENhV6Df7220o4OjpiaB0zeypyNPYwzxxRCiqpp7ZnWhImUxOTdtT1RXx8PLoouAN+q0IvRyV4+513kJ6WhsMKVm3S9Dfx/Hl0UWhJ5U5eHtJq6ORTF0aNGolDB5Utqadp9uWUywhWUbvcUEire+f2HWKkDPm38vkSlxLr6cSt27dx81btnYx0hVQFW3p6IqKR6IBIR60nNG0tLi7C5CnKdW5RGor+SNN79y7lSqzXr1sHGxsbLj+pVWgpwLddO3z1pXLtytauXQs7O1sMVVAW19nJCV6tSrXRlWDmrFmwsrZWdDbx86L5aMEcoVKOmpQVXZu4ipEyvPHmm7h54wa2b6v/ymS1kY5aD2itklKDugYEwMJKmY0RokWLFuKRctDmz53cXKz61fAuGZnpmXyaGRSkXKMC6uqj1CZqRZ58chLv8E3lzoZCSzMXL15E38d069yiK1RN2sxT964+ujBs+DA2gzqsyHJSTHQMMjIy8dorrwiL4VAEPHb8ODFSDkpT3LKp/ordjIV01HqwfsMG2Nja1NplWl/+9Prr4pGyhIR0500M2BRAWOrGli2RsLO1w4hRymlbUDeUZs2UdVYEFaLQ8kyMAvnkEStXwrNlK/Tpp6yjVgMqPPJt54vwZcuEpe5s3bIZfn4dNLVhXB0UkLi6NcXP8+cLS8NEOmod4WuVySnoomLnFqWZNPlJWNuwKbEBOiC8Y01KMnr17iUs2ufZ6dNxv7AQK/UUqq9IbHQ0srOy8MJs3dqp6QO9p2rwZ3bDv3E9x6Dmx2tWr0EBe+9mv/CCsCiHWhIHk5+azFvznT11RlgaHtJR68jadeu5rCWlvynNmlWrxSPl6dq5K2+RdaaOF/Fvv/2GZh4e6Nuvn7AoQwxzhGoSGBiEpKSkOlfubdm6lWtL2NrbC4tybGRTdTWkSikC7hoYgEN1TM+kVlmxsTEYUEVTaUMhSdrVq9QpSiIddB92rjZuUidNUQtIR60D9GGnZrIhId2ERVlOxKknU0qVe1QEdPDgAWHRHcoaIcWy6YaUDlfDybg/cPyYev0Px0+cAGdnF6xbr3/lHvXizM/L17tzi65QGiFFrWow9emn+cbisqVLhUV35s//GU6OThilwoYxKV1W1OhRmjffegv37uYjsoGuV0tHrQNLwhfDw92DZxWYItTBm5oa6NsNhzI9qPrLRYWqNzMzwIL+pyJUnXk5ORlnz+g3mziwfz/PR1cLtY+dqmuTLyXr1USX3iPSihmvwoYfhw5X5fMdEBSEowYoMmoZ6ahr4VRcHDIzMzHjuenCojwWKhfuUGl58xYt8PvvvwtL7WxgTvru3buqRZUvvfwyglTsWE6QBkuz5i2wR48MkJ9++AFOTs6qLHGVofaxj+Rqis68ia6uUMFMmzZe3NmpwZCwMEx/7jkxUgfaoLZmswlD5FS1inTUtbBi+Qq0btVKlaiyjL/XscOLPsx+YTafzu/ScaNp37596KfwunR9MHHiBNzIuaFTE2DaMCZhr1FjDBfJqm/6hfZHWlqaTrrXtH6clZmNmQroedQ3gwYN5AVKDa1iUTrqGiABIooqKbG+IUCbLr/r4LAo1cnBwbFU79nE8WQ32VatWuKgDss+i1kkRhuIvXr3FhbTJaR7CDw9PXXqKUpd8Dt36aTKxqmxoebHTVybYOsOZSs16xvpqGvgwP4DCO0fKkamz9Snp8LSyhLz5s0Tlke5lZODi0kXETY0TFjUwdAOL/owi0WKeXl52Li+eq0JiiqvX7uOKVOfEhb1MNaxPzFmDK/c27aleh0Qek+oQfLkSZOERR0M7fCiDwP6hfLZxP59UcJi+khHXQ0LFyyEra2NUaLKjz8yrMOLPoQNGYKEc+dwjU3zq2JJeDi8vFrXSz9A1bCwQFC3YBypwTlS380Ofh3gbqBkrS5Q04S6dp7XBy9vb179GRdXffsqqrT18/ODvYuLsJg+QWw24cWO+2QNx21qSEddBbRWmXzpEgYaKcujpMTwDi+60q9/f/i2b48FP/8sLOXsj4riUeWYUcpWXlYF7/BibiVG6kNC+w72Dpg3d66wlEMa3hRVjhppHB2THiE9VN9ILYM28Ki/KOlpV2bNmjUoLinGuAkThEVF2PmmbkzGghpT3Mm7g00qScAaG5N21PRhV4PwpUt515BBRuoH+MQTyshn6sqf33yTt9KqrOdLqU3ebb3h3c5bWNSDmsMGhBhXkW7kiOG4eCEJCfHxwlLK6dOn2HG3VVx/ozpIQ92YdO/eA6fYMVasDKTiFmqITP0frazUv2EOCRuCZ55+RozUh7Tr27JzerKBNMM1aUf9ooJlrg/oD4tst0Zu4U5sojGiDEGvPsbfvOrZqycOHz4sRsDmTZtQcK8AY1RMS6uImxGWGCpDUWz7Du2xskJTWKoKLS4pMairuNYZOXoUnBwd8UOF2cSy5cthaWnBZxrGQkkhM12g4h9ihQL6J5WhYrDPPv3UaBG7STtqJT/sxcXFXC/39JnT8PH14X0ZGzIk/k9ymwsXLOCRFmklUMYDNRBtyLzy2mt8g+1X0WKKGsRSVGlhhKiyjFUrVyraNEEXXmBBzaWki4g7fhz38u/hQmIiAgMM71mpdfoP6I9TKpTr32LX0B8n47Bh/Tp88vHHiNq7VzyjDnKNWlDCoipyVjdzbiDMyBtp//rsc/HIuAwePBgJCYmY8+8veBPTwQY26dUHygBITUkRI+PS//EBOBAVhW+++holDx4YNaokrpPAV2qqGBkHCmq6BgUifEk4vv32a9jZ2SNMgc4tukJVsWvXrBEj40Gb4q5NmuDzzz4TFmW4zwI72te4mn0Vp06c5NczdVVSS3hKOmpBCXvjr2Rmw8+/I7zbGa/3IqF0hxddIY1gd/emfN2Wokpa1zMWubm5SL2cJkbGZfyECXB2cUHyxYv8uI1NcXEJClT6QNcEVUTm5Fzn5eVqp19WJicnBzdvKtfhRR/ofF84n6i3hEJN0AYt8eBBCX98/XoOoqP246XZs7FABclVswekECPham5rVq+GhaUVzzUu3aZUV5uAoLVxukmwv3iXZrU2SKuCfm4R/Wz2I83ZzzU3t2Bfxrl30/IDdTF3sLdjx133bub6wvcimKOkbAeKpi3MzNn5Nt6yB0Hvewn7gFvw822sWIlEkZhTKSpij81gRT/bwpw9Ms71Rj+blhfpmI11jRF0vouLirlDtWDXt6HHzK8fdiy5t3N5498i/n6WQp9f6q7k6ubGM6vefe9d8YzhSEctqRfWrV2LwQMHqlqaL5GoBRUR/fzjj/911HTDdXZrwjNNerGZqtLNReTSh6RemDBxYr076bNnzqq2pmgqUCVqQ4S0PuLPnhWjR7mVc8uw5s8sKOeFS2xW6OLaBIHdgjFyxAj849NPFXfShIyoGfRhpZ34woJCNh234PrLxswCKPuw1Ifjus+Ofeny5Qjt1w9+/v7CahyowKZFC09eEWhMli1dBicnR67jQmuLnTr581ZWakLXGE2LK0P2G9evc00SNaBuLwmJiXwdlTSby9gaGYnTZ87gbn4+168OCQnBcOZolIK62ETt3w93Dw8Mqea9Jc3saQprnVN/z717dyMp6SLs7O3wzruPLj9QFxuS/XVv6lbnymNqqLt0cThat2mN9u07YNr0Z6s8v0ph8QlDPG60zP3+e9jb2yOwayDOsIv30KEY9AtVXzluJzvZpM4XHX0QB6OjeQZGj57GLYb4nh37BfZzm3k0h29742yixsbEYJcQzQnp1s2oa8S0qbU8PBxv/c//8CbFlyjyio9XTSlw+9Zt2LplC/bvj2KOoSl3XGUsXvQfrgN9Mi4Oh6IPITgoUNH34iC7EV65dh0J5+N5a7JBg8s1ttevW8+LfNp4t0F6WhqfXQxXqNM63QjTUlOxg13ftB5dVSfzb7/5BocOHEBoaCjsHRyE1XDuF95H/t183Lhxg6+JVz6vixb+gszMDEwYPx6PGXDOS4qKWDBniWnTpuHxQQN5ZK0mjX7pgy5m6jNHffaoYiwgMADp6WmPVK+pwcXkZHi18WInehBcXV1xJOYQ1q9dJ55Vn927duFO7h3YOdjzzTVjQDvvpA9NndfHsQ+LsRXbjhw+jHsF99jUuDQ10N7eQTU9cGq3Rbn5VtZWyMzIxK0KWQ+UqnaXOZRxbJpMU+aCwgLMr6Ks3xD6DRiAyVMmw9HJSVjKad68GX9uzBNP8BvWndzbPMdaCYaFDcGUqVPZ8d3jxUSV2cKi+YKCAp7iVpY9oRRu7m6lKXns84RKG/PUXf18wnmMZcdMOiiGQLPPWc8/r9pMqDKN3lGfZ9NC6oVYxhB2kinHNE2lBqQV6dmzJ++iTJHO2++8w6IPS6SmXhbPqg/JW/bt1xc2FY5fbWIOHeLymyNG1Y/mM03vyXl8+93XmPPFHFxIuoBRKv0uXZgDnPLUU/BhkauNtc1D0TRF8bTxRMtd1Dndn33wszKzkK9CqiZlOVTu+D59xgzxCLzDPF3zQQo1DSgrmqIsoqq4fPky/Dt25NedMZcYN0dugp2NHWJiY/H9t99h9aryClWt0+gdNe3ampmX33mpQSilEBlj6T6ke3fxqBT6XRwUnAbWBF2o3bp1Q0c/P54aaIzjpWiaij2ouOabr7/m3VSMXaFH0I0xg92I446fQNrlVN78V01oWmxlbckdchn0HlQMEPr06sVzq0+rMZNjlzetQ1fHZRYceHu34SqDahO+eDHa+frCx8enNE2P0kONBAmtZWdn8VRB6s5PMsbLwsPFs9qm0TtqrUDLEA6O9pg1e7awqAdVBJI+c9jQobjILt6r2dkovK9Os9WK0AclIz2TO2sXFxeuGfzxx58oPv2tCWqoe/rUKbzx1pt45tlpPKKLZFPxunZp1wk2Ba+YL32POWme1lXh5khRKOXo8px6FajuRkw60Xm5d/BWhY1GtaClFfothg4fzqNpykemzUxjQXnU/fqH8lksFf+0ZzfOzKws8ay2afSOmmLpyh8OuoBsa4hAFIf9/H179xrFSRO//rqSOeo7+Oyf/+T5oLnsg0rRrq5tuurK7dxc+LTzwbvvv4+Zs2Zh7LhxvMcdifYbi9/3/o62Pr7o268fFysaMWI4v1FkXzHeBzaV3aAoqqsMFR2psinFvCNF8JU5E3cKx0+cwIABA4wSTR85egxXWFCwaOHCUhGwgvtYt2Ejz/5RGv7+Vrg5kVqgpYU57CrMYhwdHfjmoynQ6B21S5MmuHPnzn9T5Eo7bzzgGzHGYu68H3juZeWlELXo2/cxvuFCGRdebMpryablnp4tEfr44+IVKsEcEU3By9KYqOUVOWpyUMai8H4B+xCX35jtbe3g1aYNunbuLCzq08HPjx93YWH5LIbyfq2sbdBBpZJ2qgStCGmu743ah9atW6FH717Cqi7uHu7881Z4v4hXxBYXF5WWX1+7Ll6hHDRjrBiA0cypabNmuMqOu4wC9v5TQ19ToNE7atoBprh64+bNfHyU3fVbtm7NH6sN3RxIGIi6UZDTMlbxBTUPoK7QtKHn0bQpizQs+QdIzTxQwo9NNQvuFvDlByI2JhYOTo58KmwsnmBRfA5zDJRffPTwYSQkJvD1UjVVA4uYYypkDqniejw1Mbh0KVmMgOjYw3w5iL6UJCUxCXksELnLrq34M+UFIJRhkpiQyH6HS1yUiwSF1GiVVbHEmjQ3XnzpJbz8yssIDAzkOtghPbpj/ERlJYX37tnDgy/KLKnYhmzYsGG4m38Pu3fuxIZ163m2zxQT6Qva6POoKW+V6vYp75J24mlfcfzYCcyBqL+pN3fuXKSnp7OL+T6OHjmK3bt28oj+MWquagQ9BCpKoBRBe3s7ODjYI1ChXf/q8PH1RVpaKlJTU5GSnIILFy4guFswfI0oguVBmRdsSpyVlcUi2vs882L4SOUKPSpD+wEHDhxAOjvmeyyCCw4O5va8O7k4c/oMj6rTUtNw6o8/EBLSja+bKsmxE8fZNW6N5iyaJG2VtuymRDKn8efOsVlUC755bWdnC1s7e9jaWCOAOVBDIZEx2nO5dzcfjo5OzCFbomXLluLZ0rTFc+fYZ83SAtbsd7KlaLdCRoyh0LG5N3Xn2UWEX0c//jddZ4+x2eQfcX9wLe6nnn6avyemgKxMrAhNlYywVlcGiUBRtOXs7AxzC3NcuXIFNmxKPPkp9Rus1id0gyCZTx9v7wavf01r/9nspkBLHfRVcfYQtW8fn4pTumAL5kgHGKn1m7GgqlcSKqoqBY+KUUrYLIOyrCS1Ix21RCKRaJxGv0YtkUgkWkc6aolEItE40lFLJBKJxpGOWiKRSDSOdNQSk4M6iNcE6UlIJA0J6aglmmXL5kisWLZMjEqZ/9N8NG/WXIyqhsqHqUxZbVZG/Ir9+5Qvf5ZIKiMdtUSzkHZwaTPWUjau34AbN3IwaEi5AH5VzJg1CxkZGYa1WtKB02dOIyJiBb7/7jvFtJwlkqqQjlqiSahQ5NrVq7h+9RrvPsJt0Qfh37G8XRg1d9i0cSMX+Plh3jxe8VZG06buOH5MXedJJQhXsrNw6MBBhC9dhnlz5yIxIUE8K5Eoh3TUEk1CJd4kPE+NQ52cnXhp/fXr1xE6oL94BbB79248KHmAMaNGwdbGFkkXL4pngOYtmuNaBQEeVXgAFBWX4E5uLi6cT8D+fb9jwfz5vN2TRKIksjJRokmoXdP58+cxa8bzcHFz4eX2u3bsxI8/z+fPUyeUL778Cg7OjhjQv/8jfflioqOxdetWvPbqq4+UqX/04YdcytYQqASa+gKSTkyZShtpTpOGhKOLM1q3as31rjt36cKfk0gMQTpqiSaJWLGCi/u8/MorfExd4vft2Ysf5v/ExwRtNB6OPYz8/Dwu/jNy1Mj/amlQBL5x/Xqu1tbKSx0pyw/eew/xZ89xR01O2sKCvizh1tQNoY8P4H04JRIlkEsfEk1CjWArtiWzMDN7pEvJ09Om4Zvvv8Prb7zBWytt27pNPFMa8bI4pLTdk0pYWpaLDZFCnKubK/oOCMX8XxZKJy1RFOmoJZqEOpKQnjB16yZIr5uE5klgn6CNREqPIwKCgtC2rQ/8O5VvNCZfSoaNrY2qXaKp16a9nR08W7ZESM8eePPtt/EW+5JIlEY6aokmoZ56eXfyMHHSJD6m9v6Ojo44IpoOkL5yRnoGfp4/nzcoLS4pxgsvvcSfIzKzMuHm6iZG6uDk4IhOXbtyXeO/fvghv2FIJGog16glJgNF0BcvXcRf/vpXYSnVPK6saZyTk4O5332P0aNGo3uvHsKqPJQ7HRQSIkYSiXrIiFpiMkyZ+hRvFxa5aZOwoErh+fVr16ENi8DVdNKEdNISYyEdtcSkeOXVV1FSyyTQzt4OM2bOECOJxPSRSx8SiUSicWRELZFIJBpHOmqJRCLRONJRSyQSiaYB/j+yQ8m8q1vHpwAAAABJRU5ErkJggg==)
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
![](data:image/png;base64,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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
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAlcAAAFWCAYAAABEj7i8AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAI3dSURBVHhe7f1ne2RHkp+NR3mDKnjf3tOOn90ZaWWeR5eklfRCWunS99HHki7pxfNfze7ODGeGHJLdTbIdvC8AhSqUN/+4o5BNsGmGBg0cAHE3k+VOFeqcyoz8ZWRkZKyviOM4juM4jnMixI9uHcdxHMdxnBPAxZXjOI7jOM4J4uLKcRzHcRznBHFx5TiO4ziOc4K4uHIcx3EcxzlBXFw5juM4juOcIC6uHMdxHMdxThAXV47jOI7jOCeIiyvHcRzHcZwTxMWV4ziO4zjOCeLiynEcx3Ec5wRxceU4juM4jnOCuLhyHMdxHMc5QVxcOY7jOI7jnCAurhzHcRzHcU4QF1eO4ziO4zgniIsrx3Ecx3GcE8TFleM4juM4zgkS6ytH950zgMsfSiwWe1kcx3EcxzmfuLg6Y9rttpVeryeJREJSqZTdusByHMdxnPOJTwueMe12S+q1mlSrVTk8PDSh1e12peea13Ecx3HOJS6uzhCcho16Q/b392VnZ0d2d3dNZDUaDemoyHKnouM4juOcP1xcnTEHBxVZXV2T58+eyeLCgmxvbclBuayiq24eLMdxHMdxzhcurs6A4JFCPB0cHMj6+roKq0Ur3C+VSlKtHkq307HjHMdxHMc5P7i4OmUQVgSvI6yazaaKq7LsbG/L2tqqrK6u6O2abG/vmOhqu7hyHMdxnHOHi6szoNvtWeA6sVWIKOKtNtY3ZGVlVcuKbGxsyH55XzourhzHcRzn3OHi6pTBc9XptKVeq8tB+UDK+2XZ29uTnVJJNlVUrarA4nZfn2u1WkfvchzHcRznvODi6pRhShBhVSrtqJBaMa8VKRiajYbd8nh7Z9sEV61Ws+lDiq8cdBzHcZzzgYurUwZxdVg7tFWBS0tLsr29LTXyW3U6Nk2Ix2q3tKu3+3JYrVpcFtODvM9xHMdxnOjj4uqUOL5CEDG1paLqpbiq1SyvFdOA5XLZBBYxVxUVV/V63Z53ceU4juM45wMXV6cAwiqIKwLZSRS6vbVtweukXUBAIZ4oeKl4XCkfmPCyacPqoQe3O47jOM45wcXVKYG4QjxZ+oVK9WiF4Lp5qXiO1+PxuBW8Wwiw9dVVi8sql/el1fTgdsdxHMc5D7i4OgUQTniemP4brBDcl739Pdv2JuwnyDFhs2YeVyoVWV/fsKSiTBU2W017zXEcx3GcaOPi6hTAY0XcFMKKacC9vV27j9ji+bAaMIgr4q8QV3i21lbXBuLqyLvlOI7jOE60cXF1CiCu2KCZGCoysW9vbknl4ODlKkBKAAHVPApsJyZrZXnZ0jIgrhzHcRzHiT4urk4BPFOIIzxWpaO8VolEQkZGRmRoaEhSqZTEY3F7LpvJSjqdlngi/jKLOwHu9VrNbvms42LMcRzHcZxo4eLqNYMnysRVi30EK1KpVIXJvdGxcbl565bMzMyYwEqmkpLJZGRkdETGx8cHZWJc8vpav9c3QUaMVkgs6lOEjuM4jhNNXFy9ZhBBHRVDxFZVKxUVSVWJx2IyOTkut2/flpnZ2Zfeq0x2IK4mJib09Ukrw8NF+4xq9XNx5WkZHMdxHCe6uLh6zZiH6cjLxFQf3qnRsVG5cuWK3Ll7R+b1dnRsTIYKQ1IsFk1QzczO2PPXr1+XWRVf+aE8n2RTiwgrPtM9V47jOI4TTWLaSXsv/Zrg0jKFR9zUwcGBrK2uWhoGclkx3ZdKp+WTx4+tbG1tmfBCUDElODwyIoVCQYbyecnmcpLXW97D8zxHXFZYXeg4juM4TnQ4d+KKrxsKBIHx6m0U4DsirvA2EZxOUHpLb/mGaRVSvP7w44/l4cOHlnYhm83KzZs3ZWpqSsYnJkxkIaoQYwS7J5k61PdZwLs+5+LKcRzHcaLHuRJXL8WKCpROl7ijmK2yC+KDabcoiQ6+Lyv7uA2Xme9G4fsiuj788EP5+KOPZH1tzcTVLYLcZ2dlanpaplVk5VRcHf8MO089R4rjOI7jONHjXPXQiAvbm+/wUMr7ZcsFdVA50MdVaTQbJrxsKV6EQEgF8UfQejKZtPvAfSv6mOcoPE5pSeuxeKjC+0LhsXusHMdxHCe6nCtxhQeHVXeIqu2dHdnZ3pHSDhnP9wbbyLTa0utHJwdU8FKF8iqcjxUVjeadCo+1IBRNLCqver2+6rMcx3Ecx4kG505cERyOmFpfX7Ns52tra7K5sWlpCprNhgmUKHESgugkPsNxHMdxnNPhXIkrPDmIK7xVqyurtjXMspbVlRXZLZXsNQSY4ziO4zjOWXH+PFd1xNWOCqsVWVpalqXFRRNYOyq4arW6dF1cOY7jOI5zhpwbcUXcUbPRlGq1Krt7e5YXan193aYFKXiuyF5OwLvjOI7jOM5ZcS7EFdOBzUZDxVNVKpUDS8S5uzvYBHlHRda2lt29XVs1SBbzEBQeAsEdx3Ecx3FOi8iLKwQS4qper9vGxy9TMGghiB0vFl6r/b19qejreK8QWGGlneM4juM4zmlyLjxXTPVVKhVbJbi3u2sbICO2KIgp8l6xvcy+vo5XCw9W2IPPcRzHcRznNDkXnityWzENuLW5Kdvb25bT6rhw4j7P7ezsyKYes1fak1azJf2eiyvHcRzHcU6XSIsrRBOxU8RbIa42t7ZMQOGtCikXyP3E/dqRuEKA7e6WXsZeOY7jOI7jnCaRF1cht9VuaVe2N7ctMzvi6qs8V6VSSTY3t/R2d7AdTs/jrhzHcRzHOV3Oh+eq2ZTS7q5sbG2auEJIHQ9Y5xjirkJ6BkQWU4nHBZjjOI7jOM5pEFlxhTAiKB1hhXDa29+zqUEC1o9nYmdakGMb9boFvJNMlONCzitfNeg4juM4zmkSWXGF54kVgHijKKRZIPaqq4KLjY7xSZlf6sg7hYjiPbXaYOUg3itEFklHEWmO4ziO4zinQWTFFV4n8lltbw+ShCKaeiqg8FTFj5VYPC5xLWxpzKbNnXbHgtt38WCVSNvg4spxHMdxnNMj0uIKr9PO9o55odqttsQTCUmn05JKpSSh9ynJZHJQ9DluVW9Jq9kc5MTa25VKteLiynEcx3GcUyPa04Lmudq2rOwIp9HRUZmYnJRisSiZTEay2ayWnAwNDcnY2JhM6mvcIrR4D6kZ8H75foOO4ziO45wWkRVXeJvIwM7KwHanbcJqbm5Orly5IhMTE1IoFKwMDxdlVAXVrL527fp1uXL1qoyMjEiz1bQpwXqtZnFajuM4juM4p0FkxRVTfrlcTsXTsExNTqlouiI3bt6QGzdumJBCYI1rwZM1NT0l8/Pzcv3GdXsdATY+MW7ii2lEYrIcx3Ecx3FOg1g/Qsmg+CoErAN7CJKzamNjw1IvMPVH+oWD8oEsLi7Kpj7PF0+mkibCZmZmrAwXh+0zao265PV5pgrxZjGVGDU4nw8//FA+/ugjWVtdlVw2K7du35bZ2VkVjNMyrSWXzx8d7TiO4zjOeSBy4irctlsty3HVPEoGigeKx7ulkjx98lTW1tZMnBCLlcvnzFt1VUUUU4QEvBOzhceK9yG+eC5quLhyHMdxnItHpObLgtcKCEofKhRs+m9qaspirihMExaKBfNkUfJDebsdxF8Ny+jIyCDwXd/HLa8hwBzHcRzHcU6DyAUjIbCOl+Pg6SGBaK832Ban1++ZV4tij49eD3zVZziO4ziO47xOIhnpjSCyxKDHbsPzdmv/5/Zz4fTyuaNjCIjnvcff7ziO4ziO87qJ9DK6rxNFwTc12ARnwFcFjrmochzHcRzntPEcBY7jOI7jOCeIiyvHcRzHcZwTxMWV4ziO4zjOCeLiynEcx3Ec5wRxceU4juM4jnOCuLhyHMdxHMc5QVxcOY7jOI7jnCAurhzHcRzHcU4QF1eO4ziO4zgniIsrx3Ecx3GcE8TFleM4juM4zgni4spxHMdxHOcEcXHlOI7jOI5zgri4chzHcRzHOUFcXDmO4ziO45wg509c9ftHd0Ri9n99fOw5x3Ecx3Gcs+Tciat4LCaJREKSyaTdJuIJiettLK6noq85juM4juOcJedKXMUQViqqstms5IeGJJfPSzaXk3Q6LSl9Po7AchzHcRzHOUPOnbjCY5XP56Q4XJRisSiFQkEf501g4cniGMdxHMdxnLPiXIkrPFMpFVFDKqhGR0dlbGxMRkZGZHh4WHK5nHmvXFw5juM4jnOWnDtxlclkTFjNzMzI7NyszM3NyfT0tImstL7mU4OO4ziO45wl525akOk/pgMnJydlcmpay5TdLw4P22vuuXIcx3Ec5yyJmLgipUJXS1v6/bZ0u11pt/taRHo8LbHB1GAqZUIqQ8lkrPAcr7m4chzHcRznLImYuEIYHQmsflcFVU86HS0qsPTuy3RWCCiEVCikYeA5F1aO4ziO45w1EfVctaTfa6mw6kir2ZOWiau+5wp1HMdxHCfyxPrK0f3XAB89EEzddlNah4fSOChLnVvVUI1eTFp4pCSm//S4Ph6rlkivKf3EkPTTkyKpCcnlh2RyOCbFXEyyqYvjner1evLhhx/Kxx99JGurq5LLZuXW7dsyOzsrU9PTFqhPLi/HcRzHcc4Pr1lcqXKSjpa2tKp7Ut5YldKLZ7K9tiGlVkz22nGptGPS028QjyGuevpfWzVWW5LFGclMPZDc5F0LWr8zGZMZFVjD2YuzGtDFleM4juNcPE5BqQw8V71uXZqH+1LdWpXdpWeyvvhClhZeyIuFBSsLC4uD8mJRXmhZXNmQtZ2ybFdaUm6KNFSjqRZxHMdxHMeJNKcgrpjGoyQlnkhLIpWVdHZIskMFGRoekeLoiIyMjlruqs+LPlcsSDGflaFMQrJJfbd+Uw9YdxzHcRwn6pxCzBXupq50GodS29+T6sa6VMplOYxnpZHISCuelGQsLqlYX79MVw9vSa/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
chemistry-
A reduction in atomic size with increase in atomic number is a characteristic of elements of
A reduction in atomic size with increase in atomic number is a characteristic of elements of
chemistry-General
physics
A satellite moves in a circle around the earth, the radius of this circle is equal to one half of the radius of the moon's orbit the satellite completes one revolution in
A satellite moves in a circle around the earth, the radius of this circle is equal to one half of the radius of the moon's orbit the satellite completes one revolution in
physicsGeneral
physics
Two satellites A and B go round a planet in circular orbits having rarely 4 R and If the speed of satellite A is 3V, then speed of satellite B is
Two satellites A and B go round a planet in circular orbits having rarely 4 R and If the speed of satellite A is 3V, then speed of satellite B is
physicsGeneral
chemistry-
The yellow coloured solution of salt of chromate ions change to orange colour on acidification due to the formation of
The yellow coloured solution of salt of chromate ions change to orange colour on acidification due to the formation of
chemistry-General