Physics-
General
Easy
Question
When a System is taken from State I to State falling the path if, it is found that Q=70 cal and w =30 cal, along the path ibf Q=52c al. W atoug the path if is
![](data:image/png;base64,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)
- 6cal
- 12cal
- 24cal
- 8cal
The correct answer is: 12cal
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Maths-
If
and
, then ![P space open parentheses A with ‾ on top intersection B close parentheses equals](data:image/png;base64,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)
If
and
, then ![P space open parentheses A with ‾ on top intersection B close parentheses equals](data:image/png;base64,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)
Maths-General
Maths-
If
then ![P space open parentheses A union B union C close parentheses equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG0AAAAQCAYAAAAcRPFJAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAArRJREFUeNrtWUFnXFEUfp6Iqm6qqiKqVFV0USGLqKoKXURURIkYVVUhqqK6KNVVFlFGdVHVTcWoLCqMyqKyKFVdjJpNVXWRxVDVPxAVNSJC+12+x3Xde+57894Zo/LxkXlv7j1nznfvOefeJEk1uAfWk0O4qDM2A4eLYLuiuf6WfD+Itj4zRqrYo8OGf8AmOBVxajzHvA/6FEjj/wH4C/wBvgNHFEU7Cz4Fv4Fd2l0Fj/P9BNjSFOwcjWcYBq+BP8ELnu+PU7QYFsB9cEhZNNf/hAF8rSTaQ3ALvAKmfHaaC9S22aJ4KpgD33ieL9JBF2aFLUfmNCvuO/iB82uK5vP/RuA3lbX1CFzLGdf7mjV/JSBOPSDOe64yCa/AGngbfKks2gqDaWMdnK7Y1nmm3qGccb0EftQSzdSvWefZSbADnvB8f5cpVHJ2i3+f4g/VFK3J3ZYydTeEWlrG1rOcNdouM7uCnRhFdJyiPcGaFWpEDoS5zCr8whyf4Ss4pihax2mippVsbbN+FsG+xi5LKYJxdodirQY6rzyi+VLtk8i5pUwgUwplN1BtprIqbaXsUJNBEG0S/FRwTCg9jnFXubjKFryXRRD74ZOeunGTzVKVtqRU1/f0WAu0xhJMR3jZ87wlOCC1/lKNjAWrxhpm45bQ4ZWxZXb00QJxUmtEXoBLBcf4Wn4zx3NhzAY4E3hnmpbrgXczVlMT8v+O86xBMau21Qh02SEsCzu+FDaFYIbgHq5HeCY7JoxZFESdYzMxZR1WU37ejpzzNq3Gw3S88zxoDyvYOsO6/9i6+TjCRdBgPU36cbjeoeGiaFt3a01h9WYYZbBCmGdt7TKddvl5IYf/WQre444ejYzp1VZ2+7LONGrG/gbfeha++jVWL6jywvh/RF8ujHvB3eTwXzOhmr9U9aT/AAIT1C+ETgH4AAAA0XRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5QPC9taT48bW8+JiN4QTA7PC9tbz48bWZlbmNlZCBzZXBhcmF0b3JzPSJ8Ij48bXJvdz48bWk+QTwvbWk+PG1vPiYjeDIyMkE7PC9tbz48bWk+QjwvbWk+PG1vPiYjeDIyMkE7PC9tbz48bWk+QzwvbWk+PC9tcm93PjwvbWZlbmNlZD48bW8+PTwvbW8+PC9tYXRoPtYm9AcAAAAASUVORK5CYII=)
If
then ![P space open parentheses A union B union C close parentheses equals](data:image/png;base64,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)
Maths-General
Maths-
If
, then ![P space left parenthesis A with ‾ on top right parenthesis plus P space left parenthesis B with ‾ on top right parenthesis equals](data:image/png;base64,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)
If
, then ![P space left parenthesis A with ‾ on top right parenthesis plus P space left parenthesis B with ‾ on top right parenthesis equals](data:image/png;base64,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)
Maths-General
physics-
Wafer of volume 2 filter in a container is heated with a coil of 1kw at 27°C. The lid of the containes is open and energy dissipates at the late of
. In how much time temperature will rise from to 27°C 77°C. Specific heat of wafers is ![4.2 fraction numerator K J over denominator K g end fraction](data:image/png;base64,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)
Wafer of volume 2 filter in a container is heated with a coil of 1kw at 27°C. The lid of the containes is open and energy dissipates at the late of
. In how much time temperature will rise from to 27°C 77°C. Specific heat of wafers is ![4.2 fraction numerator K J over denominator K g end fraction](data:image/png;base64,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)
physics-General
physics-
Starting with the same initial Conditions, an ideal gas expands from Volume
to
in three different ways. The Work done by the gas is
if the process is purely isothermal,
if purely isobasic and
if purely adiabatic Then
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWkAAAEYCAYAAACeBQcqAAAgAElEQVR4nOy9aXBc53mmffW+d6OxN/adWCmCBEGCIAmS4iKKEiVLsq1IthzbsVMVJ/NrsvyYGntSqUwlmaqkKhVXNPaMYzkaKaJCWhIlgaREcQf3HcS+742tG2g0eu/vh75zBEAkRUpcGsB7ValYAhqnT/c5536f91kV0Wg0ikAgEAhiEuXjPgGBQCAQ3JklJ9JftTGIRqNf+RqBQCCIFZaMSEejUcLhMLOzswSDwS8JsfT7QCBAOBx+TGcpEAgE94f6cZ/ANyUQCDA2NsaNGzcYGhrC6XSSlJTE5s2bycnJQalUEo1G8Xg8nD17lra2NtLT03nyyScxmUwolUtmnRIIBEuQRS/SXq+Xo0ePsm/fPm7dusX09DRGo5E/+ZM/4ac//Slms5loNMrIyAivv/46ly5dIj09nby8PAoLCzEYDI/7IwgEAsEdWfRmZCQSQaVSkZiYiN/vZ2xsjO7ubk6dOsX09DSRSIRIJCJb3E6nk6amJurr65mamnrcpy8QCAR3ZdGLtNVqZe/evfzP//k/+eu//mtSUlLQaDQoFAr5NWq1mpycHH784x+TnJyMSqWiuroas9n8GM9cIBAIvppFL9JqtRqTyURiYiIbN26krq4OjUZDNBolEokAoFAoUKvVlJeXs2bNGmw2Gw6HA61W+5jPXiAQCO7OohdpCaVSic1mIy0tDY1Gw+zsLG63W87yCIfDdHR04HQ6efHFF0lISEClUj3msxYIBIK7s2REGr6wmBUKBePj47S2thIOh4lEIrjdbq5evcrGjRv5yU9+QlxcnMjsEAgEMc+iz+6Yi1qtJi0tDaPRiN1uJyMjA4VCQSgUIhQKsWrVKoqKikhPTxdWtEAgWBQsSZE2mUzo9Xo5vc7j8dDd3Y3ZbCYrK0uk3QkEgkXDktrvK5VKrFYrWq0Wn8+Hy+XC6/Vy48YNrl27RmlpqcjoEAgEi4olJ9I2mw29Xk8gEGBycpLBwUHa29vJzc0lOTkZtXpJbR4EAsESZ0kplkqlwmq1YjAYcLvdtLa24vF4UKlUrFy5Eq1WOy9/WiAQCGKdJWVJKxQKzGYzWq2W4eFh9u3bx9DQEBs3bsThcIhsDoFAsOhYUpa0UqlEr9ej1WrRarVkZWVRW1uLw+EQbg6BQLAoWXKmpVqtxm63k5uby5NPPklJSYnI5hAIBIuWJWVeRiIRPB4PKSkpbNiwgaefflq0IxUIBIsaxWKecSidulSwMjExwcWLFxkbG2Pt2rXk5+d/qdmSQCAQLCYWpUhLI7CkCSxKpZLR0VGuX7/O1NQU1dXVpKamCjeHQCBY9CxKd0c0GmVmZobu7m6CwSAWi4UTJ07gdDp59tlnSUtLQ6fTPe7TFAgEgm/MohRpn8/H6dOn+ed//md5XFZOTg6vvfYaBQUFaDSax32KAoFA8EBYlCINzBsoGx8fz549eygpKUGv1z/mMxMIBIIHx6IUaa1WS3V1NVqtlmAwSFlZmXBxCASCJcmiDRyGw2ECgQDRaBStVotKpRKpdgKBYMmxKEVaIBAIlgvC9BQIBIIYRoi0QCAQxDBCpAUCgSCGWZTZHfdLNBolEokAn5eQS/8JBAJBrLPkRToSieD1evF4PEQiEQwGA2azWZ4qLhAIBLHMkhbpaDTK7Owsx44d45NPPsHr9ZKfn88LL7xAbm6u6DEtEAhiniWtUtFoFI/Hw7Fjx3jzzTfxer2sXLmSdevWkZ2d/bhPTyAQCL6SJR04lIpepqen8Xq9BAKBeeXkAoFAEOssaZGGL3pOS+1NF/5cIBAIYpklL9IwX6AXirVAIBDEMktepBem3In+HgKBYDGx5BVrYU60sKQFAsFiYsmLNHyeKy2Js1TUIhAIBIuBJS/SImAoEAgWM0tepAUCgWAxI0RaIBAIYphlKdLC5SEQCBYLy1KkRWMlgUCwWFiWIi0QCASLhWUp0sLdIRAIFgvLUqQFAoFgsbAsRVr4pAUCwWJhWYq0QCAQLBaESAsEAkEMsyxFWgQOBQLBYmFZirRAIBAsFpalSIvAoUAgWCwsS5EWCASCxYIQaYFAIIhhhEgLBAJBDCNEWiAQCGIY9eM+AYHgXpk78X3h7MqH/b6P+j0FAgkh0oKvzVzxgs9nSSoUioc2kT0cDuP3+wmHwxiNRtTqh3/7RqNRgsEgfr8flUqFwWAQQi14pMS8SM8VAUHsMDMzQ3d3N01NTYyPjxMOh9FqtVRXV5Ofn4/RaHxg1y0ajTIzM8OFCxc4fvw4arWa5557jtLSUlQq1QN5jzsRCAS4dOkS58+fJysriz179qDVasU9KXhkxKxISxaMy+XCYDBgMpkemIUmKg6/OdLWv7+/n3fffRePx8OGDRtYu3btQxGwUChEV1cX9fX1RKNRqqqqKCkpeeiLeDQaxe/34/V6hbtD8FiIWZEOhUIMDQ3xySefUFhYyLp164QFE0MYDAYyMzMpLCzE7XbjcrnIzMzE4XDcs0tAWiy/6rUKhQKDwUB5eTkZGRl0dXURDAbvuNg+KOGORCJoNBoqKyspLCzEZDKh0Wju+dhiFyh4EMSkSEejUSYnJzl+/Di/+tWvWLNmDampqeTl5T0QP6R4cL45CoUCtVpNQkICer0ek8lEQUEBer3+nr/f+7kOGo2G1NRUEhMT6enpIRKJ3PW497oA3A2lUkk0GsVqtWKxWO7reEKgBQ+KmBNpaXvZ2NjIxx9/THt7Ox6Ph9zcXH7yk59gNptRKpXiAYgBFAoFWq0WjUaDUqmUdzqSQIbDYYLBIKFQSP4blUqFTqebdw0jkQihUIhAIEAoFEKhUKDT6dBoNLLPWalUolKp5ONHIhH8fj8ejwf4XMQNBoN8XIVCQSQSIRgMEgwGZVFXq9VotVr5ddJrQqEQKpVKPm4oFMJkMqHVagmFQoTDYZRKJQaDYd53EI1G5XOXXqPRaFCr1eI+FTwQYk6kI5EIIyMjHD58mNOnT+Pz+ejv7+edd95hy5YtlJWVfelBuV+ET/rBEI1G8fl8hMNhwuEwo6OjhMNh4PPr6HK56O3tZXh4GKVSSSQSIS4ujpKSEqxWqyyKs7OzjI6O0t3dTW9vLwaDgYKCAnJycuTXSceURDwUCtHb28vFixfxeDwUFRXxxBNPEBcXh0ajAcDv9zMyMkJfXx8zMzNEIhESEhIoKCjAarWiVqsJBAL09PTQ3d1NYmIiGo2GU6dO4Xa72b17N9nZ2fT09DA8PExaWhrl5eVybCQajRIIBBgdHaWnp4exsTG0Wi05OTnk5eWh1Wofz4URLCliSqQlK/rIkSMcOXJEfugDgQCdnZ386le/4i/+4i/Izc19aGlegntnbiBNsn6VSiXhcBi3280HH3zA8ePHMZlMKBQK2tvb8fv9/PznP6e6uhqdTofb7ebIkSMcOHAAo9FINBplbGyM8fFxnnrqKV599VVyc3PnWb2jo6O8/vrrmM1mBgYGmJqaQqVSUVNTw5//+Z9TVFREMBjk2LFj7Nu3j+npabKyshgeHqa1tZUnnniCP//zPycvL4/u7m5++ctf8umnn2Kz2bBarQwMDMiByrS0NE6dOsXk5CRPPfUUhYWF6PV6wuEw09PT1NfX09LSQn5+Ph6Ph08//ZTJyUn++3//71RWVmK1Wh/zVRIsdmJKpGdnZ7l16xYHDhyQg0PwRQrWmTNnOHfuHImJiVitVrGVjAEkF4RSqcRsNqNQKAgGgzQ3N1NfX09SUhLPP/88RqORzz77jMuXL8sWptfr5eTJk3z88cckJCTw9NNPk5KSwvXr13n77bc5cuQIZrOZV199lYSEBHlRkIKGxcXFrF69mu7ubi5cuMDRo0eprKwkLi4Or9dLfX09bW1t1NXVsWvXLpqbm2lqauLq1av09/eTk5ODxWIhPj6eqakpotEoJSUlVFdXE41Gyc/PB+DcuXNMTk7icrnkXZjL5eLQoUM0NDRQVVXFxo0bCYVCOJ1O3n33Xfbv309ubi4Wi0Xcp4JvRMyIdDgclt0aV65ckR8aiUAgQGtrK++99x7l5eVyjuzXeQDEQ/NgiUajsi9WckWMj4/T0dGBSqVCo9FQWFiIWq3G4XDgcDhQKBSMjIxw8OBBhoaGeO2116ipqUGtVmO32xkcHOTf//3fqa+vZ+3atVRVVcnBSrVazapVq3jttddISkqitbUVs9nMvn37eP/998nKyiIlJYWJiQni4uIoLS0lOTmZ8fFx2VLu6Ohg/fr1xMXFkZeXh9VqJTk5maeeeootW7bI/vCJiQkuXbpET08PKpVKDib29/fz1ltvUVVVRXV1NdnZ2YTDYXbu3InT6Zy3qAgE34SY8BlEo1E8Hg/Hjx/n/fffZ3Jykkgk8qUIfSgU4ty5cxw+fBiXy3XXCP9XvZ/gwRKNRmV/tEajISUlBYfDwbVr1/jlL3/Jvn37CIfD1NXVkZqaSigUorm5mStXrqBWq0lLS0On0xEIBNDr9ZSXl2OxWBgZGaG9vV32RUejUbRaLampqaSkpGC1WsnPz2fTpk2kpaXR3t5OQ0MDSUlJ/PCHP+S1115DrVZz8OBBeUGYmZlhZGREDvSpVCrUajVxcXEkJydjtVoxm81otVp5kZHEGb5ID21vbyc5ORm73Y5SqUStVlNaWsrPfvYz/uAP/oDExMTHeUkES4THLtJS0UpnZycfffQRfX19cjbAQitEoVAwNjbGgQMHuHjxIjMzM4/jlAW3QRLpaDSKWq0mLy+Pl156ieLiYlpaWnjjjTd455135Ovr9/sZHBxkeHgY+Dx7Q8qeMBqNJCYmYrPZCAaDjI2NyQuylNomWbVSDnVCQgJms1n2h6vVaiwWCy6Xi3PnztHT04PBYMBqtcqZIAvvL41GMy/zRBJwKf4hBUgjkQgejwev14tarZYDmwqFAovFQlFREbm5ueh0ukd4BQRLlcfu7ohEIkxPT/Phhx9y8eJF/H7/PAta6g8h/b/f76e1tZVDhw7J5cePooeD4M4s3PGo1Wri4+N5+umnSU9P5+OPP+b48eN89NFHTE9Pk5CQgN1ux+fzyX0xvF6vbNFGo1E0Go1syd5u5yOlvRmNRgB5gdBoNBiNRkZHR/n4449paGggLi6O5557DrVaTWdnJ9PT02RkZMj3TSQSIRKJEA6H5XQ7+GLhmHsPSp9XEuypqSn8fr/8O2kBEXnSggfFY7WkpYDgjRs3+L//9//idDqBz4NRc3NiYf7NPzMzw9GjRzl79izT09P39Z7CT/hgkcTodnnMcXFxbNy4kb/8y7/kf/yP/0FZWRn19fUcPXqU6elp4uPjMZlMuN1uhoeH5UyeuXnTer2elJQU2Zpd+F5zXWHBYBCz2YzdbufixYucPHkSn8/Hli1b2Lx5M0lJSQSDQTmne24qHSCLtBSwlo4vifRc14dGoyESiXDlyhX6+/tlYZfOZXJycp54CwRfl8cq0n6/n+bmZn73u98xNjYm+x0dDgfp6elyIEra0q5YsQKLxUIoFKKzs5OjR4/S29t7Xz5m4Y9+8Eipk06nU3ZlDA8Py6lsCQkJbN68me3bt2MymWhqasLn81FSUkJJSQlut5tr167hdDpli9jlchEOh8nNzaW0tBSNRiMvCJIVK723x+Ohr6+PYDBIXV0dmzZtIhAIMDw8jFqtJisrC7/fL+dKBwIBuXAGkF0aarVafp+FMRFpcZCCl2lpaWRlZXHx4kUOHTpEf38/Xq+Xqakpurq6+OSTTxgfHxf3m+Ab81hEWvJD9/T08M477/D+++/j8/lQqVSYzWbWr19PWVnZPP+g1Wpl+/bt5OXlodFomJmZoaGhgRMnTuD1eu8riCgenG+OVGnn8XiIRCL4fD6cTqcsgC0tLfznf/4nnZ2dzM7OolQqsdlsxMfH43A4MJvNZGVlUVlZiVqt5uLFi5w7d46pqSncbjddXV1oNBrWrFlDfn7+vKrGUCjExMQEMzMzTE9P09nZybVr10hKSuKZZ56hoqKCpKQk1Go1Y2NjXL16lYaGBk6dOsXY2Bh+v5+bN28yPj4uW+7APJ+6ZM1L1YpS/vfs7CwA6enp1NTUMDs7y8cff8wHH3zAjRs3OHPmDAcPHhTxEsEDQ/WLX/ziF4/6TaVA4d/8zd+wf/9+OVPDbrezZ88e/st/+S+oVCouXLjA7OwsCoWCjIwM/vZv/5akpCRaWlqYnJzE6/Xi8/koKyuTH8q5SK6RY8eOcf36dcLhMCkpKezcuZPs7Gzhy/6aSJV2w8PDfPjhh1y6dAmA+Ph4ioqK0Ol0dHd38+tf/5rm5mYCgQADAwM0Nzej0Wh4/vnnKSwslIUaoL+/n8bGRvr6+rhx4wb9/f1UV1ezZ88e0tPTUSqVclZFa2srg4ODtLe309zcTEtLC0qlkh07drBx40YsFgsajYb+/n5u3rzJ5cuXmZqaQqPREA6HGR4eZnZ2FofDgUql4sSJE1y4cIHp6WlMJhPZ2dloNBqmp6e5efMm9fX19PT0oNVqqaioIDExUX6d0+mkra2No0eP8sEHH3DlyhXsdjsvvfQSDodD3GOCb8wjv4PC4TBjY2O89957nDhxQi4QUCqVFBYW8tJLL5Gbm8vly5fn+Y6lYolNmzbJVpDL5eLWrVu89957pKen43A47qlfgrCkvzkKhQKz2cyGDRuIj49Ho9GQnJyMzWaTXVPf/e53CYVCcjZESUkJ27dvp7i4WO6zkZ2dzSuvvMKqVatobm5Gp9ORmJhIXV0dubm5JCUlydkTJpOJZ599lqSkJAYGBohGo1gsFhISEigsLCQtLY24uDhUKhU5OTn84Ac/oLCwkPHxcUpLSykrK5PznhMSEiguLsZqtbJp0ybsdrsswsnJyRiNRvlzvPLKK9TV1ZGUlERycrIcM8nPz+dP/uRPWL9+PZ2dnYTDYQoLC1m/fj1paWlyebpA8E145CI9Ozsrl+tKfmiVSkViYiJbtmxh7dq1GAwG+eGWBBw+F/iMjAxeeuklmpubuXDhApOTk3z44YesW7eO7du3y9F+wcNDoVCg0WhISEhg06ZN1NbWytdJrVajUCgwGo18//vfn9fLQ6fTydk40kKq1+vJy8sjPT2d6upqIpEIRqMRk8kkNymS0Gq1cqHK7Owsfr9fjlcsPK7RaGTNmjWUlpbi8/kwmUzodDqi0Shr1qxBrVbLHftSU1PZuHHjvGIZ6bNkZmaSkpIiuzykJlLS+65atYri4mI8Hg/hcBiz2YzJZPrahVYCwUIeuUj39vbywQcfcPPmTQKBAAA6nY7a2lqeeeYZEhMT5RFJc3NjpX+lQocXXngBp9NJc3Mz3d3d7N+/n9LSUgoKCh71R1qWSNk2c1Pk5oqSlAkB89t23k64pLFUcxtn3e51kjjq9Xr0ev2XfrcQqUOf1EJAeo1Ulj43ZXDhz+bmY899r7kZR9K5m0wmTCbTXc9FIPi6PHKRPn/+PK2trcAXTXny8/P56U9/SllZmWyBLLREpOi6UqnEYrGwa9cuOjs7GR0dZWxsjMuXL3Pq1ClycnLmWVSCh8+dvuu7CfO9HuObvvZ2jbjutADc6/tJzZ5EOucXSPUO09PT8q5DqVRiNBpRqVRydo2UyqhWq+XdjdQx0e/3YzAYsNls81IklzuPXKQTEhLYsmULCQkJcs+F3bt3s3r1arkZzdx0p7m5qtJF02g0ZGZmsn37dlpaWjhz5gxarZbZ2dmv9DeLh2p58XWLSr7qb4SAzCcSiTA2NsaJEyfo6uqSg8IVFRXo9Xra2tq4fPkyXq8Xq9VKXl4eFRUVxMfHMzExwZEjR5iYmKCyspKamhri4uLEd/z/88hF+tlnn2Xbtm20tLRw+fJlotEo1dXVWK3Wef0RFrLQqtZoNFRVVfHCCy9gt9uprKxk586d9zTeSAj18kBc50eHSqVCq9Vy48YNfve735GRkcH3vvc9qqurAXA6nXJbgLy8PF5++WUqKysJBoMMDg7yzjvv4Pf7ycrKmleKL3hMZeEGg4GysjIKCgqIRqPodLp7SlVa+NBZrVb27t3L1q1bsVgsct/ir0JkdwgEDxYpkGq329FoNGRkZMhtY6PRKFlZWXKZf2ZmJsXFxXJrAK/XS1ZWFmvXrmXHjh1YLBYh0nN4LCKtVCrR6XR3bUCzsFcCfLmkW6PREB8fj91uF7PnBILHjFTgpFKpsNvtJCQkADA5OUljYyPj4+OEw2GSkpLIz89HqVQyMjLCjRs3qKysZO/evaSmpgqBXkBMfhtSr4R7tXiF6AoEj59QKCQHDnU6HVqtFrVaTVNTE0ePHmViYgKVSoXFYsFisRCNRmlvb2d0dJRdu3aRlpYmUhdvQ0yKNDxcl4RwdwgED55wOCz3R5H6cY+MjHD16lUmJiZQq9UYjUZsNhtKpZLu7m76+/spKysjKyvrtsU/92OsLVVismZ1blaHQCBYHEjNtTQaDSaTiUAgwM2bN3G73RQWFtLV1YVWq8ViseDxeLh69Spms5mamhq5AhW+aB3r9Xrp7u7G4/Gg1+tJSkoiISHhtr3AlzIxKdIgUpwEgsWG3+9ndnZWznHu6emho6OD/Px8wuEwn376qewG6erqor+/nw0bNpCfn/+lxIHp6WmuXr3KW2+9RVdXFxaLhaqqKp577jkKCwuX1ST2mFTCO1nRYusjEMQuIyMjTExMoFQqcblcNDU1kZaWxvbt20lPT8fr9aLX6/H5fLS1tVFcXExZWdm8tFmpTWxzczMnT57EYrFQWFhIOBzmN7/5De+99x6jo6OP+ZM+WmLWkgYREBQIFgvRaJTe3l5GRkZQKBS4XC6CwSBlZWUkJCTInROj0ShDQ0NkZGRQVVV128ysSCSCRqNh3bp15OXlAXDjxg3+1//6Xxw7dozt27fLzdSWAzEr0nfr3SAQCGIPj8fD9PS0bA0XFxezYsUKecyYFFgcGRlh48aNJCUlfSkNV2oJUVxcLDfqikajGAwG1q9fz9mzZxkdHV1WO+qYXYoe1kUQIi8QPHgikQjBYJBwOIzf78fhcFBRUSGLrN/vJxAIEAwGSUlJkYd63A6lUonJZMJoNM5rqpWcnLzsgoYQw5b0w2I5rcACwaNAGswrTaMpKChgw4YNJCcny+POpLmRZWVl8iAHqU/4QhaKsFQkEwwGWbNmDbm5ucvG1QExLNLLbbUUCBYzkgWt1+v51re+xerVq2Wrd2ZmhtHRUVJSUti1axclJSXz2tJ+FVKRjEKhYOvWrWRkZCwrfYjZ5UhYvALB4kCydA0GA1u2bGHXrl3yhPdoNMrk5CTDw8Nyn534+Pj7Ov7k5CS3bt0iNTWV0tLSZTfYQ1jSgnnM3VrCF328pYkkguXHV/W7kfzGpaWlrFmzRm6mJBEXF0dVVRV5eXlkZGTc89zHSCSC3+9nZGQEt9tNdXU1ycnJy8rVATEs0sKSfvRIU9zb2tpobm6W89KTkpIoLy+fNzpKej2IBXUpIV1zjUaDWq2+7XSd26HX69m6dasc5JsrpCkpKbz88suoVCp0Ot09d6qUhh17PB5Wr15Nfn4+Wq122d13MSvSD4vlcmG/DtFoFK/Xy/79+/n1r38tW9MZGRns3buX+Ph4LBYLWq2WYDCI3++X+wgvHCslWFxI10+qGszLy6O4uJicnJx76s+uVqvlQODC3u9zO17e6/MXCoUYGxvj0qVL5Obmkp2djUKhwO/3yyl5y+VZXnYiLVqV3h1psrfb7cbr9aJQKPB4PLIoSxNyIpEI4XBYzmsVLA0ikQihUAiHw8F3vvMdfvazn92ze+GrxqjdC5K7raWlhYMHD3LhwgVqamro6OhgamqKaDRKdnY2dXV1y8YFt+xEWnB3pJveZDIRDAZRKpXY7XaKioo4deoUTqdTnu8nLOelhxTsGx8fp6qqSl6IH6UYzs7OcvLkSd5//33cbjfd3d2o1WqCwSA2m43nnnuO2traZdO/I2ZFejmskLGGNF1jx44dRCIRTp06xfj4ODU1NZSWltLV1YXb7cbv98sPcyQSEWK9BJCet0gkIv9MsqrvNdD3oFAqlaxYsYLvfOc7KJVKZmdnCYfDADgcDqqrq9Hr9ctGI2JWpG/34IsGSw8XhUKBVqtl/fr1FBQUkJmZyf/5P/+HS5cuMTQ0xOTkJEqlcl4wSavVEhcXR0pKCunp6fLPpePN/Xfhz+9l+o4kGrc7xtzhxNK9If18oV907u/vxJ3OYe7xFx5z7v/f7ndz33sucwcs3+64cz/v7d5L+uxzP5c0xXzha+YK752+R7VazdDQEB0dHUxOTjI7O8uFCxc4dOgQ27dvx2w23/F7e5BIhsK6detYtWqVfK7S+Wo0GnQ63bJyscWsSC+XVTKWkCrHXC4XQ0NDcilvd3c3fX19hMNhwuGwbEHD51aPxWLh2Wefpba2FqPR+LWma9wtYr9QtCRuJ6Rzf7dQlO9HpO/2+7nHv9O53O1vF77+dovXvYj07V6/8G/udJ4Lf6ZQKGhvb+f111/nzJkzhEIh+vv7aW1tZfPmzXf9bA8alUo1ryz8fllq2R8xK9K340H5xoQ1fme8Xi//8R//wTvvvMPo6ChOp5NgMIjP50OlUmEwGAiHw4RCIdnCGR0d5cqVK6xdu5aKigoSExMf+RY5FrnTffaoxUNqog/cdQGNi4vj/fffl4VdCg4/rufl63xPUg8RYMkEFpflk7QULtzDQMqTbm9v59atWwSDwXk+Z7VaTXx8PGazmfHxcdxuN4FAAI/Hw8mTJ+np6eHFF19k7969FBcXo9Foll3hAXzxPbrdbjwej7yYabVa7HY7BoPhkWzXpVzjzs5Obt68CUBtbS3Jycm3XURDoRChUEj+W2Ber+dYRkofHRkZ4fz582RnZ/PEE08siVS9mBXph+mTFpb0nZGCRYFAQA7WAPN8v0888QRWq5Xm5maam5uZmppienqa5uZmfve73zE4OMizzz7LqlWriI+Pv+NmnbwAACAASURBVOcChqWCZIWOj49z7NgxWltb0Wg0VFRUsHPnzofuU53rgw6FQrS1tfHb3/4Wv99PWloaCQkJtxXpue4sicVy3aLRKAMDA3z66ae8/fbbbNmyhaysrCXhv45ZkRY8HqS857m+TKl15OzsLLOzs9jtdv7gD/6A2dlZ9u/fz9GjR+nr6yMYDNLZ2cno6CiNjY288MIL7Nq1i9zcXHmk0nJAKqO3WCwMDAzw9ttvEx8fT3x8PHq9/qGKRjgclrMhTCYTarUai8WCy+VibGxMHhR7O1QqlRyMhM/F3ufzLRqjRkrTa21txeFwMDMzs2jO/W7E7FNzp6b/goeLUqlEr9fLlpZSqcRsNlNaWorJZMLn89He3o5KpaKmpoa//Mu/5L/+1/9KZWWlnPUxMzPDxYsX+Yd/+Af+6Z/+iYaGBrnp+3JB+t6ysrIwmUzk5OSwZs0ajEbjQ12spO/+5MmTzM7OolKpSE1NxWQyfWVMR7Kk4Yv4j8/nu6OoxxIKhYLU1FTq6uqwWq0YDIbbTh9fjMSsSN+JByHUQuzvjlKplB9SpVKJzWbjO9/5Dvn5+USjUZxOJ263G41GQ2ZmJi+99BJ/93d/x6uvvkp+fj46nY5AIMDY2Bj79+/nr/7qr/i3f/s3bt26xfT09LIRa5VKRVxcHFqtFr1ef9tsBck1Mve/O7n6vuo1Xq+XpqYm3n33XVpbW/H7/cDnFubCdL/bHcdisZCXl0dOTg4Oh4O0tDRSU1NRKpV3DCBKx7zd+c3No1/4vnOFf26Q8qs+v7SQLHydVJouBQtDodCSuc8WnbtD+KQfLpK7Q6PREAqF5IyObdu20dvbS3d3N06nU87miI+Px263U11dTXZ2NgcOHOCdd97h5s2b+Hw+JicnuXr1Kk6nk2vXrvHSSy+xbt06bDabLB5LFSmnXFrwFqbJhUIhZmdn5YkmwWBQdpNIfnwpW2Hu6yKRCAaDAbPZLLsoIpEIPT097N+/n0OHDrF7925cLhc6nY5QKCQLYzgcxuv1Mj09TSAQkI+j1WpJSkrie9/7HqtWrcLr9WIwGCgqKsLlcuH1ejGZTLILRalUyufl9/tRq9Vy90Qpl1mpVOL1elGr1XLvDo/HQyAQQKfTYbPZUCqVhEIhXC4Xfr8fg8GA1Wqd50uWjjszMyPHSlQqFVardd6uT+o9shgs//shZkX6Tqup4OEhNcMpLCykvLycmZkZ1Go1+fn5pKamUl1dzfHjx2lqaqKhoYFNmzZRU1Mji3paWhqvvPIKRUVFvPXWWxw9epTR0VGCwSBDQ0O8//77XL9+nT/6oz9i27ZtZGdnL+mgopRdId23c+/fQCBAR0cHBw4cYHJykkgkwsDAAImJifzwhz+koqICtVqN1+vl8uXLfPLJJ3g8HsLhMBMTE2RkZPCjH/2I9PR0DAYDHo+HEydOcOLECYaHh2loaCASiVBSUkJSUpK8CAwMDPDhhx9y+PBhnE4nubm5vPLKK9TU1GAwGCgvL6eoqAin00ljYyMfffQRU1NTuFwuLBYLe/fuZdWqVZjNZq5evcp//ud/0t7eTm5uLtPT04yMjGA2myksLEStVnPlyhXsdjtlZWV4vV5u3ryJ2+3G4XDw8ssvk5aWRmdnJ2+99Rajo6NYLBa+//3vU1dXR2JiIpFIhOHhYS5evMipU6dkn/vQ0BA7d+7kmWeeISsra17aIDCv8ddiJ2ZFWvikHz1SxeGuXbsoKyuT07FMJhNWq5WKigpWrlxJe3s7LS0tHDlyhIKCAjkvWqVSYbfbZUt5xYoVHDlyhMbGRqampvB4PLS0tPAv//IvXLp0iWeeeYbVq1eTlJS0ZMt8pSDs3EZU4XCYwcFBWaBLS0ux2Ww0NDQwNjaG1+slEokwOTnJ8ePHOXbsGCaTiXXr1gFw7tw5zp07x9jYGD/5yU9YtWoVer2e1atXc+bMGdrb20lLS6OyspIVK1bIjYl8Ph8nTpwgLS0Ni8Uii7k01dtqtRIOh5mcnOTMmTO0traSk5NDYmIiV69e5ejRo/T39/Pyyy+zfv162trauHDhAh0dHQDk5+djMpmwWCykpKQwMjJCc3OzXNqdmZmJzWZjdHSUU6dOMTY2RlFREQaDgcTERGZnZ2lpaeHtt98mIyODuLg4/H4/n332Ge+++y7p6enU1dXh9XrZt28fv//970lISCAlJUVe7Ocu+kvlfopZkb4TS+WLj1XUajWZmZnyiKK5GR7p6enU1tZy5swZRkZGOHLkCBs3bqS2tlbeckp+2KqqKnJzcyktLeX999/n8OHD8pa2ubmZoaEhmpub2bNnD08//TQFBQVyH+Klco0VCoUcvJJ8pvC5X7avr48DBw6wadMmioqKyM/Px2KxcO3aNdl33dvby759+xgfH+d73/sedXV1KBQK4uPjGRkZ4eDBg5SUlJCfn09CQoLsS5aChdXV1eTm5nLx4kW5AEmn07F69WqysrJoaGjgN7/5DQ0NDUxOTqJQKLh+/ToXLlzg9OnTKBQK8vPzKS4uRqfTcfbsWS5cuIDVaiUlJQWtVit/plWrVvHiiy8SFxcn58dfu3aNo0ePMjY2ht1uZ9u2bZjNZk6dOsW//du/ce3aNaxWK0899RQrVqygra2N119/naamJpqamigvL5d3DhMTE2zZsoU1a9YwMzNDQ0MDp0+fpqurC7/fL1vNSzGDaNGJtODhEwgE8Pl8cjqWSqXCaDRiMpmorq6muLiY0dFRurq6OHfuHBUVFfOKBiRBSkpKYvv27axYsYKioiI+++wzLl26JOdVX7lyhd7eXjo6OnjmmWeoqakhPj5+yUTl56JUKuf1WzabzdhsNs6fP4/BYGDr1q04HA5SUlJwOBxEo1Fu3brFzZs3KSkpISsrC4PBgN/vJzc3l/Xr13P48GGOHTvGli1b5JFU0vvMfS+NRoNGo8FgMLBhwwbWr1+PwWBgdHQUm81GX18fbreb2dlZ/v3f/533338fr9eL0WhkZmaGvr4+OVCn1+txuVyMjIyQkJCAzWbDZDJRWVlJVlYWFosF+Hy3kJCQgNlsZnZ2loKCAmprawEYHR0lPj6e2dlZsrOzqa2txWQyyXncPT09dHZ2EgwGMRgMsusjMzMTp9NJa2srPT09+P1+/H7/vOrXpeaPhmUq0kvFUnvQSIGXs2fPcurUKbkVZHJyMt/+9rcxGAxkZmaybds2WlpaGBgY4JNPPmHz5s3Y7XY5OARfBCCNRiP5+fn84R/+IZWVlRw6dIijR4/S3d0tV4h98MEHtLS08NRTT/HMM8+Qk5ODxWJ55C0yHwZzsxCkf1UqFRkZGezevZv/+I//4NChQzQ3N7N792527NiBxWIhEAjQ29uL0+mkoqICvV4vW64ajYaCggLi4uLo6Oigr6+PlStXzsuakF4XjUaZnZ2Vg8Bms1lOAzQYDOh0OnlMVSgUYmJiApfLRSQSQalUMjExgc/nw2azUVtby5o1a3A4HGRnZxMIBGSrWZrkIi0OUtMm6TykoKM0C9FoNKJWq+WfRyIR1Go1BoNB7iETjX4+ISY3Nxej0cjZs2dpbW3F5XLJAUSpKhaY51JaSsSsSD/MIKEIQN4eyW9ZX1/PG2+8QSAQQKlU4nA42LNnD0ajEaPRSG1tLUeOHKGvr4/r169TX19PWVnZPJGWkAo7UlNTsdvtVFZWUlZWxttvv01jYyOTk5NMTEzIvs2Ojg5eeukl1qxZg91uXzRlybdjrmUnZVbA52ISFxfHK6+8glKp5L333uPy5ctyAHH37t3odDo8Hg9+v18WI2kat16vx2QyodPpCAaDeDyeL1UZSqInZWFIv5eyHwwGg5wZIV13o9E4L6VOCho///zzpKamyoIuWeqXLl2S/ee3S3eTGjxJ2SfS92E0GmXXlnRe0r210J8ciUSYmJjg5MmTHDt2jMTERAoKCggEAgwODs5zjy1Vd0fMfqKH+WAu1of+USAJwszMDG63m6mpKQKBgPyQqVQquS+C0WjE4/Fw5MgRurq6vnKrqdVqSUxM5Pvf/z7/+I//yM9+9jM5rzoYDOJ0OnnnnXf4b//tv/Hmm28yMDCw6HNdJaGSyu0lNBoNqamp/PSnP+Xv//7v+eEPf8jMzAy//OUvefvtt+nv75crB6WqP0mApGN5vV50Oh1xcXEolUrZ1SEtbKFQCKVSKae0KRQK2UKVBHOuGN7u3CXLNy4uDpvNhkKhYHx8HJfLJVvKUsD5djngki9cYm6+tXRPSQu59Frp80lTgj766CN+9atfkZSUxB/+4R/Ko9wWZgZJ77fUiFmRFtbu40GyqoLB4DyLSkKhUGC1WqmtrWX16tVEo1F6e3t58803cbvdd31IJEtHq9VSUFDAD37wA/72b/+Wn/70pxQUFMizE9vb2/nf//t/8/Of/5wDBw7InfgWI5ILYq5POhKJ4PV6GRoaQqVSUVFRwY9//GN+9KMfkZCQwIkTJ9BqteTl5ZGUlMTAwAAdHR0EAgHgc0tZsrCrqqooKCiYd+y5Qriwjaler5fFV3IZSNdEyrmWkO4FaQFwu91cvHiR06dP093dLf/tXOtb+jvpX2lhl1wvKpVK7qoIX/SEcbvdsksGkBeUwcFBzp07h9frJSMjg8TERODzHUEwGJTFXEL6rHOrJxc7MevueJiIBeDuzH1QF24hpQe6oqKCLVu2cObMGdxuNydPnuTGjRusXr1aLkG+G3q9nrS0NJKSkigpKWHlypW8/fbbXL9+HbfbTWdnJyMjI3R0dOB0Otm1axepqanyljjWd0NSEcrc7f7croKdnZ18+umn7N27l5SUFJKSksjPzyc5ORm/3y9nyBQXF9PS0sLZs2cpKSmhqKiIsbExent7sdvtbNy4EYfDIQupXq9Hp9MxNTVFX18farUaj8cjB9d8Ph/T09OEQiH550qlkkAg8KWS9XA4zPj4ONeuXcPtdjM4OMjZs2flcWput5uZmRlCoRAzMzPywi4JrCSgktUuiar0L3wRB5GO4fV65b8NBoO4XC55YvjU1BQjIyMMDg7S09ODz+eTf26z2eZZ4NJCIC0ksX6/3I1lKdKCOzO3wRJ8UZAh/U5Ky0tMTKSqqor8/HxaWlro6enht7/9LSkpKfMsu7uhVCrR6XTk5eWRkpJCZWUl77zzDvX19TQ1NckZIP39/Zw8eZIf/OAH1NbWYjabY/qhk8Swo6ODhoYGxsfH6erq4sqVKxQVFaHVaunr6+P//b//h8vlYuvWrWRnZ9Pb24vVaqW6uhqbzYZer+f555/njTfe4NatWxw8eJDq6moGBwe5fPmyPL1EyqjQ6/VUVFSQkJDAxYsXmZ6eJj8/n1AoxNDQEB6Ph8bGRhwOB/Hx8fT09MhBuN7eXuBzK11aWAKBAM3Nzfz85z+Xy9pLS0upqqoiJSWFpqYmpqam8Pl8nD9/nuLiYqxWK0qlEo/HQ1dXFyMjI/h8Prq6uuju7iYUCtHe3s74+Dher5fOzk6amprkvGqXyyW7vpxOJ3FxcSQmJnLp0iUOHDhAW1ub3EPG5/PJRS7PP/88fr+fy5cv4/P55OwjKSVxMQcUY1akY/khXMpIW2H4YiipJNJzkVwWW7duZXh4GLfbzfHjx1m3bh0WiwWHw3HP11CaxLFixQp+/OMfU15ezmeffcaZM2fo7+/H6XTy2WefMTY2xq1bt9i0aRMFBQXYbLaYffgkS9XhcPDtb38bo9FIfHw8wWAQvV6Pw+Fg8+bNhMNh2tvbmZiYIBqNUltbK8/w0+v1PPPMMxgMBq5fv87k5CRNTU1YLBY2bNhAWVkZBQUF8ves0+koKyvjueeeY2BggISEBDIyMlCr1ej1enw+HwUFBbLPOjU1ld27d+P1eomLi5ODjRaLRXZNmM1mEhMTycrKoqioiCeffFJeaNLS0njyySeZmpoiPT39S62EzWYzu3btQqFQUFhYKMc2UlNT2bt3LzMzM2RmZsrWu9Vqpa6uTs791mq1JCcn89xzz2Gz2eT3qaiowGQycfLkSfl91Gq1nG3ywgsvEBcXh9FofPQX/iEQsyIteDxIwRfJmpKCQnORfpeUlMTu3btpaGjg2rVr9Pf3s2/fPlJTU9mxY4fcv+FekKyd7OxsEhMTWblyJStXruSjjz6St9vnz5+nq6uLS5cusWfPHqqqqkhPT5fbf8bSwi7lDq9YsUL26xqNRiwWCyqVisLCQv74j/9Y3tb7/X4qKiqIi4vDarXOE9K9e/eydu1aBgcHMZvNJCUlYbVasVqt8/qfqFQqsrKyeO211/B4PHIfDKniLxqNYjQa5euSl5fHpk2bCIVCWCwW3G43e/bsIScnh1AohEajkfOTc3NzSU1Nlav7pAVl1apVBINBjEYjZrNZvmcsFgsbN25k5cqVKBQKOe0uGo2Sl5dHbW0t4XAYrVaL0WhEo9GQnZ1NZWUl4XBYzmCRKmArKyuZmJiQLWu9Xs+qVasIhUJy+qf02pqaGjQajdwNb7FnfMSsSD+oBv+C+8dkMpGQkCBXcmVkZHzpRpcevNWrV7N161ba29uZmpri4sWL1NfXU15ePs9KulekxjllZWVkZmZSXl7Oxx9/zEcffURXVxc9PT0MDQ1x8+ZN6urqePHFFykpKSEhISFmhFpyGUlCejvMZvM8K3hhgE9CquCMi4ujuLhYPv5cpL+VrklOTs49nafRaMRut8v/b7PZ+O53vyv3G5HcUVIu9ML3lc7rdmi1WrRaLTab7bbve7u/k7JIFnKn97ld7EPq272UiEmRvpNAPyjhjoUHORaRLKBXX32V6upqpqen0el08yrJ5qJUKomLi+Oll17i7NmznDlzhpmZGU6dOsWqVat44YUXiI+P/9qWjFThuGLFCrZu3cobb7zB6dOnGR8fp6Ojg8HBQU6fPs2zzz7Lt771LQoKCh7ZaKoHwdz7cGEq2f30rnlQ97MUeJMyL6RClAf5Hg+SWDynh0FMirSEFLGWWIoln7GGVqulrKyMwsJCOXVsbp/euUjl37m5uXz3u9/l1q1bTE5O0tvby7vvviuX/JrN5q91LlLFosFgwGKxkJmZyYEDBzh16hSNjY1MTExw69YtXC4XnZ2d7Nixg+rqahwOBxaLZdFucx+X+Ljdbj755BNu3boll66vX7+eNWvWYDAYHss5CWJUpCULLSUlRc7TlZqnL5fV83EgZW5I6UvS/8+1qG6H3W5n06ZNrF27llOnTuH1ejl//jz79+8nIyOD0tLSb3TdJMEoLS0lLy+Pp556ivfee4/6+npaWlro6+tj3759nDhxgs2bN/P888/LzXwW5v4K7ozT6ZS7y0UiERwOB3/2Z39GSUmJEOnHSMyJtBSokqLIUlWUXq8nMTFRPHAPkWg0ytTUFL/61a84ePCgHMApKyvjr//6r7FarXfchqenp/Od73yH7u5u2tvb8Xq9HDlyhPz8fFJSUrDb7d/YDSG1oiwrKyM1NZVNmzaxf/9+jh07Rl9fH8PDwxw8eJBr165x7do1nn32WQoLC+VKOcHdmTucYKm1+1zMxJxIw+eWdHJyMgkJCfNulgcVGBIBydsjWdEdHR1cunRJTskaHR2VRzHdCaPRSF1dHYcPH2Z4eBiXy4XT6eTgwYOUlpby5JNPPpCe0VJjoNTUVGw2G2lpaVRXV3Pw4EFu3LjB8PAwHR0dvPHGG1y4cIGdO3eyZcsWcnNzMZlMS7LD3sNCCHRsEJMiDTzUBHRx890ZKU9aqo4LBoNy4587BbTg814U6enpPP3003R2dnLp0iX8fj+tra3s37+fyspKUlJS5pWYfxOkfN7S0lLS09MpLy/nyJEj/P73v6e1tZWhoSFGR0dpa2vj2rVr7Ny5k3Xr1sl5w4u9Cu1hIoyY2CJmRfphIm7CuzO3kY8UOPyqUmxpp7Nz5056enoYHBxkaGgIl8vFsWPHOHXqFNu2bSMxMfGBiqM0KPeJJ54gJyeH8vJyjh07xocffsjIyAgDAwMcOHCA8+fPU1dXxwsvvEBpaancoEe4z+Yzt6pUEBssO5FeDH0fHidSTEClUsl9He41aCQ1X3rqqacYGRlh//79OJ1ORkdH+e1vf4vVamXr1q0PfK6h1E8kMTGRrVu3smLFCkpLSzl69Cjnz59neHiYnp4e3nvvPdra2igpKWHz5s2Ul5fjcDjk4arivvgcaeFa6J8WPB6WnUgL7o5kEc99UBdWHN4NrVbLihUreOWVVxgdHeXjjz9menqa06dPk5ubS0lJCenp6Q/cNyyJidVqxWw2k52dzerVqzlw4ACHDx+mu7tbturPnz/P6dOn2bJlC5s2baKkpASHw4HRaFzW2SAqlQqbzYbD4SAcDsuVjff6fdzO+l6Y/73wdwtdaLd7zXInZkX6XrZbX+cCikrGuyPlPks+20gkwvT09H0dQ6/XU1payre+9S16e3s5f/48Pp+PTz/9VBbwb1Lk8lVI3eAqKirIzs5mx44dHDhwgLNnz3Ljxg38fj+NjY20trby7rvvUldXx44dO1i7di0ZGRmYTKZlKdTJyck8//zzPPHEE4TDYQwGA5s2bbqnHhhSIYzUHnRun2jpPpLiHFJbAek+m3sMqb+H1NpV7HBiTKSlvhEzMzOMjo7i8XjQaDQEAgG5O5fULEYaySONA7rXbZnYvt0ZyWpOS0sjJycHv9+PSqUiPz//vixfqU/F5s2bmZycxO12097ezsDAAG+++SbFxcWsW7fujil9D/Kz2O12qqurycvL49q1a+zfv5+zZ8/idDqZmpqS0/YuXLhAaWkpGzZsYMeOHWRmZsq9I5bL/WIymdi2bZtcFq5SqdDpdF8Z7JVGdDU0NHDp0iU8Hg9Wq5WioiJqamowmUy0t7fz0Ucf4Xa7sVqtlJeXyzMtVSoVkUiEqakpTp8+zfXr11mxYgUbN26Uy/2XMzEn0l6vl5s3b/Lee+9x7do1gsGg3EPAYDCg1Wrl7mypqals2LCBmpoaEhMTF/WopVhBp9PxrW99izVr1si9eK1WKyaT6b6Oo1QqSUxMZOfOnXi9Xv7mb/6GqakpWlpa+N3vfkd8fDwrV6586NdMpVJhMBjIyMggISGBkpISmpqaOHDgAMeOHWN8fJzZ2Vk6Ojro6uri4sWLHD58mB07drBt2zY5dW85ZIRIri7JvXU/PmmlUsnMzAz19fU0NjaSm5vLq6++Sk1NDTMzM7S0tHDw4EHa2tpITk7mRz/6ETU1NV/Kx/Z4PBw6dAidTsemTZse3oddRKh+8Ytf/OJxn8Rc1Go1drsdl8vFkSNHuHXrFjqdjvXr17Njxw5WrlxJQkKC3Lfh7NmzhMNhcnNz5eGlEtFolJmZGY4dO8b169cJh8MkJyezc+dOsrOzH1g62FJB2obabDYyMzPJzs4mKyuL1NTUL21N7/V4BoOBxMRE2traGBkZYWZmBpfLRUJCwm2v2cNC2oXZbDays7OpqKigoKBA7pssNcKXpmNfunSJs2fPMjk5Kc8TnJsNshTF2uv10tLSIg8ZHh4eBj63sO9mzUrfrU6no7Ozk5s3b2K1WqmqqpKH6BoMBtxuN21tbahUKmpqaqisrJRz56V7T6VS0d7ezlNPPUVBQYFwdxBjIi1dLJVKRXd3NydPnmRycpKSkhJefPFFqqqqyM7OJjc3l/T0dJxOJ83NzXR1dZGVlUVOTs68Yai3E2mpjaYQ6TsjlYVLbiZpavPXeVgk10d2djaDg4P09fXh8XgYHR1FpVKRl5eHTqd7JFvaub5Qi8Uiz2rMy8vDbDYTCATwer0EAgFmZ2eZmJigpaWFxsZGOjo68Hg8WCwWOftlqYnH4OAg//qv/8qvf/1rDh06xNmzZ7FYLKxYseK2Q4bnIgl1JBLh3LlzBAIBcnNz5d2SNLbr6tWrTE1NkZeXx7p16zAYDPL36PP56OvrIxgMUl1dPa+YbTkTkyoViUSYnZ0lEAig0+nIyMggJydH7sUg9fEoKSnh4sWLtLW1cezYMTZt2nTbbm2Ce0OqOLx+/TonT54kGAyi1WrJzMxkz549X6t/gyTSVVVVfPe732VgYIBbt27R3NzMW2+9hd1uZ9euXSQnJz8y36NUXq7T6bDb7WRlZVFZWcm5c+f47LPPaGhoYHJyEp/PR39/P0NDQ/IEkLq6OrZt20ZZWRk2m21JCbbX66W/v58bN27IvTvuZ76kwWCQ89Wbm5vp7u7G7XbLvv3CwkIcDgcDAwN0dnbicrnkntjRaBSPx8OVK1fIz88XpfxziDmRlmae9fX14XK5MJlMFBUVkZqailarlSPA0WgUvV6PVqvF7/czODiIx+O5p+OL7I7bIwWA6uvref3115mdnUWj0VBUVMSWLVu+dlm3QqGQA4nj4+P8y7/8C11dXTQ2NvLrX/8ajUbDs88++8hcH3OR0s7Ky8vJz8+nurqa48eP8+mnn3LlyhVGRkYIhUJMTk5y8eJFbt26xcmTJ6mtrWX37t0UFRURHx+/JAKMt0s/lHZS9/r3CQkJ1NTU0NnZSVtbG+3t7SQlJclDAYxGI4FAgKtXr3L58mWSkpJkw0oaeSVZ2ILPiUmRnpqaYmBgAL/fj8PhID09HYVCgc/nk7dNarWaYDDI7OwsSqUSs9n8lVsyENkdX0U4HGZyclKeXadSqRgbG3sgk5cTExPZvXs3TU1NHDx4UG7e/+abb5KQkEBdXZ1c6PIor5HkYjMajRQXF5OWlsa6deuor6/n5MmTNDU14Xa7CQaDsrXX3d3NpUuXWLduHdXV1axcuZLk5ORH5rp5FNyvMSNl1FRUVGC1WnE6nbS2trJy5UrUajVut1v2/Y+MjNDc3ExNTQ1msxmfz8fw8DCpqamkpqZ+KZtIGmYrTZiRGv4vh2c55kQ6EokwMDBAa2srkUiE7OxseZikFFjw+XyMj48zMDAgp/s88cQTwtXxAJAezEgkIue0PqidZZaIhAAAIABJREFUh5Te9/LLLzM+Ps6hQ4fkaS6vv/46iYmJlJSUPLbZdHOnbdvtdvLy8njyySf54IMPuHLlCj09PfKEbKmS8urVqxw5coTt27ezceNG8vLysNvt2Gw2eaLJYmPutJj7Ddyp1WoKCgooKCjgxIkTNDY2snHjRgC5O6Ldbpf9/ZIwT0xM0NjYSE5ODnFxcV9a6ILBIGNjY5w9e5ZoNMquXbvk1NulTsyJdDgcpqmpCafTiVqtJicnRx6HYzab5dX0/PnzXL58mUAgQElJCRs2bLgnkRaujvvnQX5nOp2Oqqoqvv3tbzMyMsLp06eZnJykoaGB3/zmN/zpn/4phYWFjzWoq1Ao0Gg0JCcnk5iYSGVlJS0tLVy9epWbN29y/vx5mpqa8Hg8TExMMDk5yY0bN/j973/PE088QUVFBS+++CJpaWn3lcP/uJnbWAu+3q5To9GQn5/P+vXrOX36NI2NjfT392M0Gjl//jwWi4U1a9Zw+fJlGhsbaWtro7S0lN7eXiYnJ6msrPxSkFpKzT1//jx///d/j1arZd26dej1+kW5CN4vMSXSUuDq9OnTOJ1ObDabbJnodDqmp6dpbm7mzJkzfPTRR/T19VFRUcGPf/xjSkpKlsw283HzMEtzpS1xbW0tgUAAt9tNc3MzLpeLAwcOoNVq5esZC3nJkj+9rKyM/Px8du3ahdPppK2tjcOHD3PmzBlGRkbweDx0dXUxMDDAyZMnOXjwIAUFBezcuZOVK1eSkpKC1Wp94H1LHiRzK/yk797n893XRCTp+ubl5ZGVlUVnZycdHR3ExcVx8+ZNvv3tb5OZmcm7775LfX09XV1djI2N0djYiMn0/7X3ptFR3ff9/2v2TZrRjEb7vu8IBIjNNpvxhh2M69hOHNOkaZ2TnqY5aU7S056etg/6qA+a35OmTZM2Tpw43pfEBhuDAduAwMgIBEhCEtoltI+W2bf/A/+/X0sgQGBAy9zXORxsMZq5d+697/u5n+/n8/5YyMvLu+o6FqWcRUVFJCUlMTk5KV0ZY4FFJdLhcJiRkREuXbqEx+PBYrHQ09PDqVOnMJvNTExMcOrUKU6fPo3X6+W+++7joYce4v77778pjwGF63OnRUStVpOYmMimTZvkyK3e3l6GhoZ46623iIuLY/fu3RQUFMiKnoVCRJMGgwGj0YjNZiM1NZWCggKqq6tpbW3l448/5sSJE3R1dUkfbVEeeuLECVJSUli1ahWbNm3C6XRit9tJSkqSVQ86nW5R1ANrtVrMZjNWq1XmfW/Fy0StVpObm0tVVRVNTU00NDTIUXhFRUWy9PHAgQOcPXuWY8eO0d/fz8qVK0lKSprz87RaLcnJydjtdrxe7+3a5SXBohJp4akwODgIfDG92OfzUV9fj8fjYWJiAr1ez8qVK1m5ciW1tbVkZGTcVDfcQl8IS4WZ3WZ3ImIRF91TTz1FT08Pb775Jm63m/7+fn7zm9/Q0dHBnj17WL9+/YJUfVzJzM440RRjtVplvW9raysHDhzg5MmTnDlzhtHRUSYnJ5mcnKSjo4MzZ87w6quvYjKZKCwsZN26dWRnZ5OXlycbhkSzzJUudHeLuLg47rnnHoxGI5FIBLvdTnV19U0ZbAlSUlIoLS1Fq9VSX1/P5OQk69evJz09HavVSklJCU6nk2PHjnH58mVZune9Jw2NRiMXEBfDU9bdYlGJtMfjoaGhgdHRUTmO6YknnkCn0+H1enG73cTFxWGxWLBYLJhMJpm7nO8BU0rwro0QoPj4eBISEmTlzJ0a6qrT6cjLy+PP//zP0Wq1vPnmm3g8HoaGhnj//fcZGxvjO9/5Dg888MCCR9RzIXLXDoeDmpoaCgsL2blzJ2fOnOHEiRMcP36cnp4ePB4Pbrcbj8eDSqViaGiI+vp62a6emZlJSkoKSUlJFBcXU1lZSWpqqoy071YdtsPh4Otf/zqPPPKIbGAymUy3tJAbFxfHihUrKCkpoampCZfLRW1tLXa7Hb1eT3Z2NsXFxbS3t9PX18euXbtISUm55n7e6aBhMbOoRNrlctHR0UEgECA7O1tGyjqd7qo76FJZjFlqGAwGduzYgdVqJRQKAZCYmHhHKi5Eo8vq1auJj4/HbDazd+9e+vr6cLlcHD9+nHA4jN/vZ/v27dKfZTEhbmyiLdput1NYWEhtbS2bNm3i+PHjtLS0MDIygsvlYnJyUpbyTU5OMjIywrlz56RhWEZGBvn5+eTm5pKbm0t6ejqJiYmYTCaMRqOcnn69gQU3Gs4QiUQIh8Oys9Tr9eL1eqVPjki/iBTPraDX6ykoKGD16tV0dHQQHx9PUVGRLFF0Op1UVVVx4sQJwuEwJSUlN1z4v56l6XJmUYn08PAwnZ2dqNVqsrOzyc7OnuUZsdgiqeWGyL2uXbuWqqoqeSFotdpZ7bu3+zPj4+OprKzkBz/4ARqNhvfee4/u7m6mp6c5fvw4Y2Nj+P1+Hn74YVJSUhbto66w5tTr9XLR+7777qOrq4v29naam5tpampieHiY4eFhXC4Xfr9fiqVw5Tt9+jRmsxmbzYbdbichIQGbzUZycjLZ2dlkZGTgdDrnbKCZuegHSL9m8bdarZYeJRMTEwwMDNDX18fAwABTU1PyycBiseB0OnnwwQepqam56eYS8QRWUVFBXV2d7DYU17PRaGTt2rUcP36c/v5+srOzbyqtEktPxItGpCORCAMDA3R1dREfH8/KlStv+6glhRsjug7HxsYIBoMYjUbi4uLueAeYTqcjNzeXH//4x+Tm5vKb3/yGixcv4vV6OXfuHP/xH/+B2+1m9+7dczY7LDZERUJWVhZpaWmsXbtWGjmJJp5z587R0tLCwMCANJ8SfinT09O43W4GBwdnGRBptVr0ej1Go3HOoOVKV7m5EFG0+DPTBxqQIp+cnIzVaqW8vPyWjr/RaKSmpobu7m5qa2tndayq1WpKS0vZvHkzAwMDshdC4WoWhUgLI6SOjg4mJydJS0sjPT39tkyXvhIlTXJthEB/8MEHHDx4EI/HI/Omf/d3f0dcXNwd++7EgpkwnjeZTLz00kucOXOGiYkJOjs7+eUvf8nk5CRPPfUUWVlZi751WOyTyCmL6DglJYWysjJ27NhBd3c3g4ODUqg7OjpoaWlhfHwct9uN2+2eswzuRimN6yEi0GtFouLnXq8Xv99/UyV4M9FqtRQUFPDUU0+RkJAwa7vEE9QDDzxAMBi8o+fWUmdRiHQkEmF8fJwLFy4QDAZJS0vD6XQuG+OapUI0GsXn83Hy5ElefvllfD4f0WiU9PR0vve97xEXF3fHt0FMHX/66aex2+384he/4NixYwSDQS5evMgvfvELQqEQzz33HDk5OUviHJkZ3c40d7JarWRnZwNfXAMej4eRkREp2PX19Zw6dUp26oku0FAoJP/7ZmuYxd/i5jHzbzGFx+v1zorebxWNRkN8fDylpaVzpmVE3loJnK7PohDpcDhMZ2cnp0+fJhqNsnr1apKTk5UDtwCIhiLxCLwQx0Cj0RAXF8f9998vp+8cOXKEqakpRkZGeOGFF1CpVOzZs4esrKxlYTkrFlEzMzNJS0sjFApx7733SjfIUCiE3+9nYmKCnp4eLl26xOXLl3G5XHKBVwhqOByeFSXPjJwjkQhxcXEUFBSQn59PVlaWnJze3t7O//t//4/Dhw/LG4EwM/uq+zYXijjPjwU9u8PhMIFAgNHRUY4cOcLg4CCRSETWaYZCoSURKS0nRKSn1WoJBAIyD3q3j4FYeKqtrcVsNpOamsq+ffvo7+9ncHCQt99+G51OJzvYbrUKYTEh0iOissJsNssFMvEnGAxSUVGBz+fD7/dLl7qZA11vlMYQI+hExYhYzPP7/fIzhYDOPPZXDo2908zcj0AgQH9/v2xbv3DhgiwVXe76sKAiPTU1RUdHB01NTRw6dAj4or7y0qVLtLW14XA4pG+Hwt3hyrwhLFy5k0ajweFwsH79ehISEmQt9djYGK2trbz00kuo1Wp27dol5zAu1QtWRLnwZRXTXJGmTqebsxxSCLj4I0bNid/3+/14vV70ev01nfrETUIsHGo0GnQ6nawGESIuRtjdSfx+Pz6fD0AGbQBbtmxhYmICtVotnxiW6jGfLwsq0uKEczqdPP3003g8Hrl4lJycfEdOhFgq3bkdCPG4Mlq7W4jcZWlpKd/73vdwOBy8+uqrdHV10dbWxosvvkg4HObpp58mOzt7SQp1NBolFAoxNDSETqe76eGrQqDb29s5ceIEnZ2dfO1rX6OyslJ6sDc2NvLHP/6RLVu2sHr1amw221Xvo1arSUhIICUlhUgkgtPpJBAI0N3dTUtLC52dnTzyyCOUlJTc9MzLmyEajdLR0cGBAwcwmUxs376drKwsCgsLyc7OJhKJoNPp7srNYjGwoCJtMpnIzs4mJSWFlStXyhyoGLczH39ohduPWEwSQrHQvhIzF5m++c1v4nA4eOWVVzh//jzd3d28+uqrjI2N8cgjj1BdXY3dbl9S5VzBYJDu7m5eeeUV7HY7u3fvJikp6aZz7T09PRw4cIDW1lYqKiooLS2Vtccivywi5LlISUnhm9/8Jhs3biQajWK1WsnKyiIcDrN//37OnDlDbm4u2dnZt02kw+Ew4XD4qhma4XAYj8dDMBiUA5FFo41gqd2Mb5UFFWm1Wo3JZFr0pVSxgriAU1NTKSoqIhgMEo1GycrKWvAIVdQdFxQU8Mwzz2AymXjxxRdpbGykra2NwcFBWltb2bNnD2vXriUlJQWdTrckxNrn80mr06SkJFauXIndbp+3SIvccXZ2NmazmbGxsVkLiiqVipKSEr773e/KRcK5SEhI4L777mPTpk3y91QqFQMDAyQmJjI8PHzTrnjXIxKJ4HK5uHz5MgUFBbMGPmRmZvLEE0/IJ+tYEeS5WPrL4gq3DVHLu3PnTgoLC2ULsehAWwwXijBmeuKJJ0hOTub//u//OHnyJCMjIxw4cIC+vj62bNnCt771LQoKChaFOdONmJqa4vz58/T39+P1emlpaWHFihU39R5iynt8fDx+v5+xsTHZoKJSqbBarfK7uNb3MXPhciYJCQmy3PF2dXuKFM2FCxc4evQof/EXfzGreU1sr9j+WCYmRTrWD/r1EIMWMjIy5M/EAtJiQaVSkZCQwNatW3E4HPz2t79l3759DA8P09TURH9/Px0dHTz99NNs2rSJ1NTURVslFAqF6O3t5ejRo1JcP/74Y3bu3InZbL5hznVm5QcgPUCSkpKueoqYuRYz87uYWW89U8RndgeK4y9azGf6OV9LuGdu25V+O5FIhP7+fg4dOkRzczN+v/+m1oqu3O/FahVwO4hJkVa4NjNPfmFotRjRarVYrVZqa2txOBxkZWXx4osvMjQ0xNjYGB988AHNzc3s3r2bJ554goKCAiwWy6K62cAXzo/nz5/H5/NRVFTE5cuXaWho4OLFi1it1jlLC8VC4+TkJGNjY3IA8/DwMH19fbLOXbzW7/czODhIf38/KSkppKamYjQa8Xq9jI6OMjExQSAQIBAIzDIx0+v1pKWlyc5flUoluz+7urrw+Xzo9XpSU1NlekmlUhEMBnG5XPJ9PR6PXBAVuXaXy8W+ffv44IMP5IR6sVip0WgYGxuTLfE5OTmy1C4SieD3+xkZGWF6elqWIVosFlJSUuTrlpNgx5xIL6eDd7sRj6BNTU20trYSCATQ6XSkpaVRW1u76BZyVSoVRqOR0tJSvvvd75Kens4f/vAHTp06hcfjobW1lV/96lecPXuWb37zm9xzzz1kZmYuqnOgr6+P+vp6cnJyKCoqYv/+/bS1tXHw4EEKCwtJTU296ncikQjDw8O89957HDlyBK1Wi8VioaWlhfb2duDL81wM0viv//ov9u7dy/PPP8/u3btJSEjg9OnTvPTSS3R3d1NQUEBnZyfnzp3D4/EQDodJTk7m+9//Po899phsbnn//fc5fPgw/f39uFwujEYjW7Zs4dlnn6WyshKdTkdLSwvvvfce58+fJyEhgYGBAYaHh6mqquIv//Ivyc3N5dKlSzQ0NHD58mW8Xi+/+tWv2LRpEw888ABqtZp33nmHP/7xjzidTv7hH/6BjRs3olKpCAQCnD9/ntdee42pqSmi0ShtbW2o1Wq+9a1vsXv37mU3+zDmRFopwbs2YpbcG2+8wWuvvYbf70en01FRUcH//u//zum6thjQaDQkJyeza9cuCgsL+dOf/sTLL78sF9A+/fRTurq6uP/++9m9ezdlZWVYrdYFXQwV0XBDQwPT09PU1tZSWVlJf38/ra2tnDhxQrr+XWnROTw8zEcffcTrr7/OmjVr2LFjB/Hx8Rw4cIDx8XFGRkaAL9u/DQYD0WiUyclJpqenpTf7K6+8wunTp7n33nt59tlnOXr0KF1dXfT29sqmMo/HI7/jYDDI2NgYtbW1rFmzhsHBQU6dOsXevXtxu9386Ec/Iisri/fee48DBw5QVlbGM888Q0dHBy+//DL79u1j06ZN5ObmUl5ezsMPP0xnZyeDg4M8/PDDrF+/nsTERPk0NDo6itFoJBgMAl/ccBoaGnjrrbdwOp3s3LmTuLg46uvr+Z//+R/eeOMNysrKWLFixS0NKlisxJxIK1wfUa/b1dUlS5/EBbpYEY/mSUlJrFu3jqSkJEKhEIcOHZIT5VtbW3G5XLS0tHD//fezadMm8vLy5FTvuy3W4XCY4eFh6urq0Gg0VFZWkp2dTVVVFUeOHKG9vZ1Tp06xcuVKuX1C2JuamnjjjTfw+/2sX7+ewsJCIpEI1dXV1NXV4XK5ZjXEmM1mMjIyUKvV9PT0MDAwgMFgIBgMkpKSQnl5OYmJiWi1Wuk1HY1GpZe3mBqvVqtJTU1ly5YtrFixgsuXL2M2m3n77bc5deoUjY2NJCYmMjk5KaetC5tVs9nM+Pg4ExMTRCIRzGYzycnJxMfHMzIyQkpKCrm5uXLIQUpKyqyBHpFIBLfbzbvvvsu5c+f4p3/6JyoqKtDpdNjtdnp6eujr61uUQcRXJSZFejkeyNvJTNESOcClgBCk4uJifvjDH1JVVcWbb75JXV0d09PTsqX8/PnzfPLJJ+zatYvNmzfL0VV387wQhlHd3d3k5eURFxeH3+8nMTGRjIwM6uvraWxsxOVyyeYWYYDV2NhIS0sLNTU18nc9Hg9WqxWbzSZfKxCLiRqNRkbRVquVnTt3yv8+efIkDQ0NjI+Pz1ocFB4ufr8ftVpNZmYmhYWFZGZmYrPZmJiYoL6+njNnzlBXV8fKlSu55557KC8vx2Kx8Nlnn3Hp0iVZvud2u2W+/MrFR61Wi06nIy4uDpvNJj3MVSqVvKmdPXsWj8dDTk4OZrMZjUZDZmYme/bsYXJykvz8/GXh5TKT5bU380RJd1wbUSstopfFVtkxH3Q6HdnZ2Tz++ONkZGSQl5fHsWPH6OjowO12MzAwwKFDh+ju7ubChQts27aNVatW4XA47koVSCQSYXp6ms8++4zBwUGsVivvv/8+kUiEiYkJVCqVjJjPnj3Lhg0bpKeG2+2mtbUVj8eD3W6Xjnp6vV5G2oKZFRVCuIPBIDqdTpa7nT9/nv379+P1euUMUYEw57+yTVw0OsXHx5OVlUVSUpLMfft8PrKysggGgzQ2NtLf34/RaESn08m+CLEtokTQYDCg0+lmtXmLcj/R7BIOhxkcHMTlcs1qfBE14jk5OUSj0UVbxfNViEmRVpg/wnBpKSG6Vh0OB/fddx9FRUXU1tbypz/9iZMnTzI2Nobb7ebcuXP09PTQ0NDAgw8+yNatW8nLy5MzHe/UxR4KhRgYGKCzs5MtW7ZQUFCAyWSSYpSUlMTQ0BA9PT18+OGHlJaWymMQCAQYHh6WlRjiSUeIkxA3rVZ7VcmdiEgB3G43+/fv58SJE5jNZrZs2SI9Ubq6uq4qmxPRqfhcMTJMCLDRaMThcBAOh/n444+pr69HpVKxZs0aMjIymJqa4sSJE7J7VfwRNxZRkSIaqGaKMHyZwxeOgC6XS/q5iOMtInNFpJcBy+0g3m5mdpQtpXTHlQjLUzG6qby8nFdeeYV3332X/v5+fD4fIyMjHDlyhPPnz9PU1MSTTz7J6tWrsVqtV7Uq3y48Hg/t7e1Eo1Gee+458vLyUKvVclF7YmICnU7Hz3/+cz788EN2795NYmKijEY1Go2MXD0ejxRo4WURCoXwer2zyilFdYZGo8Hn89HU1MTevXvxeDzs2bOH3bt38+mnn8ruXyH2oVBI5qPD4bB03YMvhFOIZnx8vMwpHz16lJ6eHnbs2MFjjz1GMBikrq4OYJb1qUiriZ+pVCqZAxdud2Kf1Wq1LEns7+/n6NGjJCcnyzRVOBzG6/VKK9bFWjp6KyyfPVG4LYjIWUSSos52qVfFmM1mVqxYwT/+4z/yq1/9iocffljW7IZCIYaHh3n11Vf527/9W372s5/R2NjI9PT0bd1n8R0ODg5SV1dHfn6+nFUoDIMMBgMOh4Pt27dTXV1NV1cXJ0+exOVyoVarsVgsVFRUoNVquXDhAufOncPn86FWq2U06na76ezslIu9M+uGhUi3trZy6dIlOSB2Zh5XdHXm5+dTVFSETqcjEAjIfRAi6vP56O/vZ2RkhJycHFatWkU4HKa7uxuTyURxcTEJCQkEg0HcbjfALJEXqZNgMCjrtMXNxefzzbopCLuCtLQ0pqen+eSTT2RXpRhWcPr0aZqammalfJYDMRlJL2WxudNEo1G0Wi12ux2fz4dOp1vyNqDwZX7VYDBQXV3NT3/6U1auXMl7771HW1sbExMTeDweenp6eOGFF/j88895+OGHWbt2LaWlpcTFxX3l3Hw4HGZycpL6+nqam5vJzc29qhNPbGtCQgLZ2dn4/X4++OADKisrpf/zmjVrWLFiBfX19bz11lv4/X5SUlJoa2uju7sbv9/P1NQUHo+HhIQEKX7CtMjlchGNRtHpdAwODvLRRx/h9Xqpr6/H7XZjNpspLS3liSeeYPPmzbLqQzShDAwMkJyczPDwMOfPn8doNLJhwwZyc3OJRqPo9XpGR0epr6/HYDAwMjJCe3s7kUhEjgozm80yB+31emlsbMRsNuNwOMjIyJCiLSxLo9EoNpuNdevW0dTUxOeff84LL7xAcXExWq2W8fFxbDYb991337KKogE0//qv//qvC70Rdwqx0HL48GHOnj1LOBwmJSWFHTt2kJubu+xWgW8HwokwIyODmpoa1q9fz44dO2S501IWavjySSE5OZmKigrpSTE0NEQgECAcDuN2u+nq6uLUqVNcvHiRuLg4nE6nfMIQ73MziBr006dP88Ybb9Da2orNZqOqqgq73X5V7rWrq4sDBw7Q2dkpp7M4nU6ysrKw2+1YLBZOnjxJZ2cnjY2NNDU1yZpjsaiYn59Pamoq09PTfPTRRzQ2NqLX66msrKSkpESaUrW2ttLR0cHY2Bgej4exsTHUajXFxcVs2rRJdgA2NzczOjqK2+1mamqKlpYW2traqK6u5hvf+Abp6elEo1HOnj1Le3s77e3tXLp0SebIOzs7ZWWGuP4aGhpobGxkaGgItVpNUVERarWaw4cP09LSgkajobS0lLKyMlm2F41GOXHiBKdOneLTTz/lxIkTDA0NsXr1ampqapbFeToTRaUUJCqVCovFwpYtW9iwYYPMTYuFoeV04ms0Gux2O9u2baOwsJDNmzdz6NAhPv74Y/r6+vD7/YyOjnLs2DEuX75MXV0dO3fuZM2aNVitVplDvpmoTavVkpaWxpNPPsmOHTtITk6+ytdZ5H8TExN56qmn2Lp1q9zW5OTkWdttNBppbm6mtbWV4uJiCgsLZbu4qDsW5XcPPfQQBQUF2O12KioqSExMxGQysWbNGlwuF0VFRZhMJl5++WXOnj1Lb2+vXLTcunUrGzduxGq10tTUxNjYGP39/eTm5lJTU0N+fj7p6elotVpsNhvPP/88VVVV9PT0kJuby9q1a4lEImRkZBAXF0d5eTlxcXEYjUaefPJJMjMzsVgsVFdXU1paCsCjjz4qa8QrKipkvj0rK4tnn32WrKwsPvvsM1wuF4WFhaxfv55Vq1bd9VLKu4Equoyf/UXZzr/8y7/wu9/9jkAgQFVVFf/+7//O5s2bl1zVwt1A5Gd7e3sJh8OzBqYutVK8+SDK0qanp+nu7qa+vp79+/fT0tJCb28vbrcblUqF0+mkoqKCHTt2yPpkEV3Pt+wrHA7L/KvwUBbjq67sKhSP+jM9oA0Gg/TyCIVCMnXhcrmIj4+Xgh8Oh9Hr9XI6SyQSwefzyfSVGI8myu78fj/x8fH09PTwb//2b7z77ruoVCo5gPiv/uqvsNls+P1+JicnmZqaIhAIYLVasdvts/ZBLDSPj48zNTVFXFwcdrudSCTC5cuXpYeHxWKRDSoTExOypM9kMsmctMipm0wm+RQz07dkaGgIv9+P1WolKSkJk8m0LJ+Ol98eKdwyQhw++eQT3n77bfx+PzabjdzcXH70ox8tuPn/nUBURTgcDhISEsjLy2Pt2rUcP36cjz76iM8//5yhoSGGhoYYHR2lsbGRiooKtm7dSm1tLfn5+TIqFYut1/qORH3xjeYxipSMaOee6/10Oh02mw2bzUZ2dvasdIl4j5mfa7FYrjLqj4uLmzUBfnh4GPiyycTv98u8sSi5s1gspKWlzfk58KVHvNFoJC0tbda/FxYWXvV9WK1WrFbrnPt3re9GCH1iYuKcr1luKCKtIBF502PHjrF3714ZxYmIarF4St8pxPDb8vJyioqK2Lx5M4cPH2bfvn00NDQwMjLC8PCwrAMuKChg1apV3HPPPWzYsAGn04nZbL6tN7P5vM/M13yVzxXlfTPf41oWojf6nOV8ntxtFJFWuArRNBAIBNBoNMvKrOZGzDS+F1FyTU0NZ8+e5ejRo5w+fZquri4PVB1zAAAgAElEQVSmp6c5d+4c7e3t1NXVUVRUREVFBRs3bqS0tJTk5GRZ47tUBEuU14nSSxG1LpXtX67EpEgrJ931mSksarVainSsfW/CtCkpKYmqqip27NhBXV0dL730EhcuXGBsbAyv10tTUxMXLlzg4MGDvP322zz22GM8+uijJCUlyQYMvV5/x5pjbhczvTRgtkWAwsIRkyKtcG3EhQlIfwVhKh/LGI1GMjMzefzxx9mxYwdNTU28/vrrfPzxx1y6dImpqSmmpqZoamqira2N//7v/6a8vJxt27axYsUKKioqyMjIkLlrYNG1MM801RKCvRRmRC53YlKkl3FBy1dGdJPNvECF30Msc6UvRnV1NcnJyWzfvp1Tp05RV1fHhQsXGB8fl3XNp0+fpr29HafTSVlZGeXl5axcuZKioiI5HWUxDcsVbfSiFtnhcGA0GhfN9sUqMSnSCtdGlFGJUiaxWr+YIr6FRIi1xWKhoKCAzMxMVq1axdatW2loaODgwYOcO3cOl8slxzwNDQ3R1tbGJ598Ql5eHoWFhaxatYqioiJKSkqwWq2yLE4s3t2oUuRO4HA4eOKJJ1i7di1arRaDwUBVVdV11ySEnakoKxRDBoTTnbA6FYGRqBIRaRTRKi8qScS0naWUy7/TKCKtMAu1Wk1KSgoFBQX4/X70ej3FxcVKNDUHKpUKk8lEeno6qamprFq1is2bN9PY2Mjhw4dpbm6mp6eH4eFhvF4vHo+HoaEhGhoaOHDgAImJiaxatYrKykry8/NxOBzY7XbsdjtxcXGYzWa5+Hg3SExM5KGHHpo151CUDc6FqGceGBjg/PnzTE1NyZby5ORkALq7uxkaGpJGTRkZGWRkZGC326WQezwempqa6OnpwWq1smrVKhISEpRz7v9HEWkFieg4fPrpp9mwYYNsfkhKSppVT6twddmbSBWUlpaSnZ3Nxo0b6e/v58yZM9TX19PU1ERXVxeTk5MEAgEGBwcZHR2lr6+PQ4cOYbFYMBqNOJ1OsrOzSU9PJz09nezsbFJTU7HZbFitVlniJyLR2xltiyj4Wvs513cQjUYZGBjgN7/5DZ2dnTgcDr773e+ybt06tFotbW1tvPnmm7S0tKDVavn7v/97cnJyZrXXB4NBTp06xYcffsjatWuprKy8LfuzXIhJkVYeo+ZGNHYUFRWRn58vF7bmqp9VuBph4mQ0GrHb7WRlZVFZWcnmzZs5f/48jY2N0tdiZGREemBMTEzMSgeIzkKr1Sojz6SkJJKTk8nNzSUlJQWr1Sq7+UTE/VUFe6YF6UzXvOsde51OR2pqKsnJyRw7dgy3243JZJJt3wUFBRiNRtlqL37nymYbg8GAyWSiurpa+nkrfEFMirSycHhtxIU+06pU/Fxh/ogbnl6vx263U1ZWxoMPPignch89epSTJ08yMTEhUyE+n08a309NTclctlisFMZQTqeThIQEnE6nTJc4nU6Zy73V81vMN5yZ7nA4HLPmDV6JXq8nJSWFdevWcejQoVl2owaDQfpqnD59mra2NiYnJ+e0ElWpVKxYsYLKyspr+sQstmqYu0VMirTC3Ii28IGBAfr7+4EvZvGZTCaqqqqWncnS3US0QJeXl1NQUMD999/PyMgInZ2d9Pb20tTURGtrq3SiGxkZYXp6epYJfigUkgNXRcrj4MGDcnyW+Nn1uJ6Ai8kwQqQdDgff+MY32LNnDwkJCdf8PbHAmJ+fT319PQ0NDVRXV8sF0aqqKvLy8mhpaeHixYuMjY1Jn5FIJILX62V0dJS8vDySkpKuGUXH6rkXkyIdqwd7Pni9Xl5++WV+//vf4/P5AEhPT+eNN964oeeEwrWZuQhnMBiIj48nOTmZoqIiaabk9/ulYNXV1XHp0iVpoDQ8PMzQ0BAej0dWU4ihsrd7bJQQ8pSUlGtGvjPRaDTk5ORQUlJCfX29dNETdqQmk0nOaDx58iSPPvqozEuLUVher5ecnBwlEJiDmBRpJd0xN6IteHx8nK6uLjwejxxNtNymXSwUM9NHotTuyptfQUEBq1evlhH02NgY7e3tXLx4kaGhISYnJ+VsRtH1KGrZZ47Mmi8ixTWziUX8fD4+JGq1GpvNRnl5OXa7na6uLtra2li9ejUqlYq+vj45WUbsR01NDQaDAa/XS09PD06nk/T09FlGUcKhcOZw2lhcG4lJkY61g3yziAt+Zgeawu3jRoZIM2uEhZd3cnIya9askTnryclJ+vv7cblcjI6OMjQ0RHNzs0xT3azPdXFxMSMjI3z66ad0dnbOmo14I8EXYr5q1SoKCwupr6+ntbVVWpBevHiRqakpnE4n09PTHDp0iG3btpGWlsbExAQ9PT1UVlbicDjke4ZCIQYHB3nnnXdoamoiLi6Oxx57jOrq6pirNIpJkVa4PleKiNJYcPuY7/coXie+f+E9DV9EmYmJiWRmZkp/ajFRRbTw38zx0mg0JCQk0NLSQnd3N11dXfLf5vsEJdwSy8vLOX36NL29vfT09KBSqRgeHiYjI4OVK1fywQcfyM+w2+309vbS29vLvffeO6tpZnJykvb2diYmJnC73bS1tTEyMsJf//VfU1VVtSy9za+FItIK1yRWV9MXOzMf/YVwJyYmkpWVdUupPHGMA4EANptt1g3iZkz0ExISeOCBB/jggw/o6enh9OnTcjjBvffey/33309nZyednZ2cOnWK3Nxc+vv75fBd8VmiSSY+Pp7du3czNjbGhx9+yO9+9zs2bNggh+PGCjEp0kpO+tqIvDR82awg8pSKaC9+vsrx0Wq1ckzVTMvS+WIwGCgpKSEnJ4eLFy/y2WefMTExQSQSoby8nKysLEpLS2lvb+fw4cPYbDZcLpccsjtz251OJ3a7Ha1WS3p6OhMTE7z11lu3vG9LmZgUaYVrIx6vr/yZwvLHbrdTW1srR2olJyeTn58/bz9xMQJr9erVtLW1cfbsWcbHx9m8eTMFBQUYDAY2bNjAsWPHaGxsxOfzsX79evLy8mZF7KLGXOD3++VA2sLCwpjyN4cYFWlFdK6NWq3GYrEQFxcnc9Fi8KryvS1vHA4Hzz33HI888giRSESmIcxm87zfQ6/XU1NTw759+2htbUWlUlFcXCzrn6uqqsjIyKCxsZHW1lZ27NhBenr6VfXdIooPh8OMjIzQ29tLVVWVHK4bS8SkSCvMjchBrly5kl27dhEIBADIyspSaqRjAJ1Oh9PpxOFwzCp7u5mbs06no7i4mOLiYjo7O0lISCAjI0NGv8nJyWzYsIGjR49iMplISUm55li2cDjM8PAw77zzDn/4wx8oKytjfHyc9PT0mGobV0RaQSJsIrdu3cqaNWtkHlqn02E2m5VIepkzOjrKwYMHaWlpIRwOEx8fz4YNG6ipqcFkMs3rPTQaDZmZmaxfv57GxkY2bNhASkqKFFWTyURZWRmpqank5+eTn59/zRuBiKbFAmldXR3vvfceKSkppKWl3dZ9X8zEpEgrC4fXRkTTRqNRtgcrc+5ig6GhId5880327dtHOBwmJSUFgLKysnmLtFqtxmw2k5eXR3l5OatXr57VUq7VaklLS5MzITMzM695bqnVapxOJ1/72tdIT0/nl7/8JXV1dezatUsR6eWMIjbXRpQ+vfPOO7z++utMT09jMBiorq7mJz/5CVarVfn+ljmhUEgaJIk29ZttZlKpVKxevZq0tDRSU1Nn5bRVKhW5ubn85Cc/IT4+Xt4IrvU+er2ezMxM9Ho9Z8+e5dNPP8Xj8dzy/i1FYk6klSj62giDpcbGRo4ePYrX60Wr1TI4OMgPf/jDhd48hTvMzLbrmWWYt4LD4cBms805NMBisVBeXi6bdG6E8LlOSEjAbrcrC4cKsU0kEsHn80kHNrVaLWtdFZY3cwUw8/HumAsxJmsurjftRWxHIBAgFArJqiKv1wvA2rVrZ7WPxwIxKdLKI/v1mWkef7fn7CksHMJIa2bT0kI8eYbDYTo6Oujo6CAhIQGDwcDQ0BBTU1Ns3779uimS5UhMirSS8lBQuJqZEa6oxriVnPTtYHBwkIMHDxIMBsnIyGDFihXs3LmTwsJCJd2hoHDlTUyJpGMDnU5HfHw8iYmJRCIRGcXe7ZpkjUbDihUrSE1NZWpqCpvNhtPpJC4uTrEqVVCYiWJVGlvYbDYefvhhadRks9lYs2bNvMvvbhcqlUpOTVdQRFphBqJGOiEhgbS0NHw+H3q9npKSkph7xIxFbDYbDz30EFu2bJnVRHLlBHGFu0vMibSyEHZ9DAYDu3btoqysjHA4jFqtJiEh4a5HUwp3H51OJ1MeCouHmBNphWsj2sKrqqqoqKgAvvSUvtVSLIWlw5Wjt0RAoxz3hSXmRFqp7LgxYvbeTBQv6eWP3++nv7+foaEhQqEQZrOZjIwMHA6Hku5aQGJOpEER6ush5tqJAaDwZceXwvJmbGyMV199lbq6OkKhEA6Hg0ceeYSdO3cqIr2AxKRIK1ybcDhMT08P3d3dsqrDbDZTU1MTc2brscbY2BgnTpzg3XffJRqNkpKSQm5uLtu3b1fy1AuIItIKkmg0itvt5re//S2//vWv8fl8aLVacnNzeeedd0hMTFRSHssYtVot27DF+CyTyRRT3s2LkZgTaWUh5NqIVMfY2BgjIyMEAgHUajUmk4lwOLzQm6dwh5m5aAgoC8aLBOUWqTCLmReqWCy8mfFJCssDET0LLw+FhSPmRPrKaEFhNiqVSjH5j1FmXhdXluMpLBwxl+5QuD4i5SFykpFIRNpEKixv1Go1Go0GvV5PJBKRzS3KDXthiUmRVk66ayO8fAFlwSjGMJlM5Ofns3btWlQqFfHx8aSlpc3LmF/hzqF8+wpXodFo0Gq1hMNhdDoddrtdubHFACkpKezZs4evfe1rqFQq1Go1WVlZyprEAqOItIJEtIVv2rSJ6elpxsfHZY204t2x/NHr9eTk5JCcnCynxBuNRuWJaoFRRFphFiaTiccee4ytW7cSDoelE5rZbFai6WWO1+ulubmZrq4uQqEQVquVoqIicnJylEamBUQRaQWJqIuNi4vDYrEAX674X28mncLyYGBggJ/97Ge88847RCIRUlNT+cEPfsC3v/3tmJsruJhQRFpBIjoO//SnP7F//34CgQAmk4mVK1fy7W9/G4vFokTTy5hIJEIwGCQQCMj/DoVCC71ZMY8i0gqSaDSKz+fj008/5bXXXiMUCmE0Gjl37hxPP/20jK4Vli9X3oSVWumFJyZXBJST7tpEIhH8fj/BYJBwOIzb7WZgYIBwOKx8bwoKC0BMirTyyH5jrjR/n/m3goLC3SMmRVqJCK+NSqVCr9ej0Wikd4der1cEOgZQbsaLEyUnrTAL4d0hLCtBuanFCqIlXK/Xy0ammeeBwsKgiLTCVVyZ5hBTWpQRWssbh8PBPffcg9FoJBQKYbfbWbFiBUajcaE3LaZRRFpBIuqkk5KSyM7OxuPxoNfrKSgoUHyFY4C4uDi+/vWvs2vXLnkuGI1GZXTaAhOTIq2IzbUxGo089thjFBUV4Xa7MRqNpKamKuV3MYBOp8PhcCjXxyIjJkVaybFeG71eT1lZGYWFhYTDYdRqNVqtFoPBoFy8yxzl+C5OYlKkFeZGjBYzGAzKI24M4vF46O7uZnBwEJ/Ph9FopKCggJSUFGVa+AIScyKtRAvXJxqNEolEZs00VGbdxQZjY2O8/PLLfPLJJ0xPT5OYmMiePXvYuXOnItI3wZXj52ZeN1f2H8znmoopkVapVEqb63UQU1n6+vro6+sjGAyiUqmwWq1UVFQoTmjLHJfLxblz56irqyMSiZCSkkJPTw/BYHChN21JMDPACQQC+Hw+4uPjZ/UZhEIhfD4fXq8Xi8UyL3fJmBDpmUX6ot1ZYW48Hg9vvfUW77//vpwWnpqayn/+538qo5RigEgkcpXBkhLU3JhoNMrU1BQXL16kt7eX/v5+RkdHefDBBykrK8NisTA9PU1zczN1dXX09fXx4IMPcu+9997wKSUmRPpKlGh6bsTorObmZo4cOUIwGEStVpOdnY3f71/ozVO4w8z1+B2JRBZoa5YeU1NTHD58mA8//JCuri6mpqaYnJzk+eefJysri6amJl588UUOHTqEx+MhOTmZ9evX3zCVGBMiHYlEpDCL0VBKRDg3Iv+sVqtlt5lyU4sNxOM6fCnYylSW+ZOQkMC2bdswGAwcPXqU/fv3s3fvXjZu3IhKpeL9999nbGyMmpoaAoEAmZmZ8/JpX/YirVKp0Gg0chJyNBrF4/Hg8XhkiZnCF0QiEXw+31U3tfj4eJljU25uyxfhdCimxIdCIbxeL16vF5/Pt9Cbt6BEo1GpIXMN5hWj5yoqKsjJySE/P5/m5mYGBwd56623uHDhAhqNhueee46cnBzC4TDJycnzSiEue5GGL6ZeGwwGnE4nNpuNw4cP43a7sdlsaDQaKd6hUCimo+xQKMTo6ChtbW3ygo1Go7hcLj7++GOcTmfMfjfLHbVaTXNzMwMDA/KpyefzUVdXR0lJCYmJiTF77EV+3mQyUVZWRnp6+pzBndASvV5PVVUVGzdu5PXXX+fo0aOYTCaef/55SkpKbnp4xrIX6XA4TCgUwmw2s379egD279/P22+/PctAaOaj3u1kZrnNtbwvZv58If0xRAQ1NTUlI4dQKMTg4CA//elP79pTx5XeITd67Y1etxw8R+ZKN93sPt3oewgGg0xPTxOJRFCr1Xi9Xo4dO8aFCxfk+Xsz7/dVme/7z+e6+qrboNVqcTqd/M3f/A3PPPPMdZu7REVUZWUl77//PpFIBLvdTmZm5i3NCl32Ii3wer00NTWhVqsZHh5menp6zpMulhEnz8x0B3xxoxsZGVnITVO4C8w8/0XQ4vP5GB4evurfYw2NRkMoFGJ8fHxe1WE6nY7c3FysVitTU1MYDIZbro5a1iIt7oCJiYkkJyfjdruJRqNYrdYl40VxM1Hl9d7jStvR60UB4nVXLhjOt/j+ZrbnTr7PYougv8r2LLZ9WQzM59q4Xd+bSqUiMTERq9U67/cTi+/BYBC3233Lpb/LXqTj4+PZtWsXxcXFsubzZtMacz3qXe918339fN/7dopaOBwmEomg0+nkgqpYJIpEIrNy8qJm1u/3S/+OuVajb7QP19v+W3mMnut3bsb7+nZeuPP9zLl+96tEpjeTIrudn3WzXJnmu9Z2zLUvcx3j+Vxfc81pvJVtnonISW/atOmGQzCi0Sher5euri78fj+BQICRkRE8Hs8tfZfLXqSNRiPV1dWUlpYqpWR8GSHPZeo/1wkkUh8iilaiOYVYROTpLRbLDcvmPB4Pvb29uN1uamtrOXHiBL29vQwODpKWliabV+Z7LS1rkYYvcklmsxmz2bzQm6KgoLDMEE/mgUAA+EJvent7OXHiBOXl5dTU1NDV1cXly5fp7OwkKytLapLJZFLqpBWuj5LnVFD4akSjUSYnJ2lubkatVpOens7x48cJBAKsXbuW0dFR4uLiaGlpoa6uDp/Ph1qt5t577yU9PV0RaYWrEflnsYghUhiixlOU4YnctXiNyF8roq6g8CV+v59jx47xs5/9jOHhYbKyssjIyOA73/kONpsNgOrqak6dOsW+ffvo6+tj06ZNxMfHz0ugYYmLdCgUIhgMyo4otVqN0WjEYrHEdFPK9QgGgwwNDXHu3Dn6+vpQq9WsWrVKlgup1Wo8Hg9dXV2cOXMGg8FASUkJ2dnZxMXFKd+pgsIMVCoVer0em83G2NgYFouFxx9/nJKSErRaLRaLhTVr1lBXV4ff72f16tU89NBDN3UtLUmRFt2Bojuuo6ODy5cvE41Gyc3NZdOmTSQlJcn2TaX1+0vEpJX6+np+//vfE41G+cUvfjGrOD8YDNLa2srPf/5zMjIy+PGPf6zc9JYZV1Y5zbUwfKWXh3IdXY1Op6Ompobvf//7DA8PU1RURElJCXFxcQAYDAbWrVsnJ7BXVFTIvPSyFWnREdfQ0MBHH31Ea2sr8fHxWCwWurq6eO+99zh06BDPPvssa9euVczKr0Cj0WCxWDAYDITDYXJyckhNTcVgMMiLMBwO4/f7qays5MEHH6SoqAij0aiI9DIhGAwyOTmJy+UiFAqhVquJj48nLi5OdsQFAgHp4qZSqTCZTNjt9huWn8UaarWahIQENmzYQCQSQa/Xz2paUalUOJ1ONm/eDCBLX5dtW3gkEmF0dJSjR4/y8ssv4/V6qaysZN26dSQmJtLR0cFrr73GgQMHcDgcFBYWkpSUtNCbvegQJ4her6eyspL4+Hgp0KFQCI/Hg81m46mnnmLFihUyDaKwPIhEIgwPD7Nv3z7Onz+PSqVi586dbNiwAZPJhEqlIhQK0dbWxttvv41Wq+W+++6TNcIKXyLWa0T12Fziq9Vq5zRlmi9LRqQjkQher5fjx4/zy1/+ktbWVv7sz/6MJ554Qlr+ZWVl0d3dzeeff87p06fp6+vD4XDMO0EfK4h0kUajIT09XaY6hEOgy+UiPT2dwsJCjEajItDLDK1Wi9VqZXp6mo8++gitVsszzzwjj7VIbUxOTvL5559TWlpKUlKSItDX4U4+XSyZqy8YDNLe3s4f/vAHzp49S3l5OQ888ACZmZkAslpBONqNjY3R09OjTGGZA1HXqVKpMJvNqNVqmX+8fPkyKpWKrKwsRaCXKaIpIz4+Hq1WS3x8PCUlJTLVEY1G8fv9GI1G7rnnHr797W9TWlqqrEssEEviCoxGo7jdbo4cOUJjYyNWq5Xa2loyMjJko4pKpSIcDsuoORAIzGmiFOtEIhH8fj8TExNEIhEpxOFwWN7YDAYD8fHxc16Q4onG7XbLAn6FpcdMa16HwyEbK6LRKMFgkK6uLiYmJnj00UcpLi6+ruubwp1lSYi0qOT46KOPGBkZkRUcDodDek6I0jFh5g8odb1zIIrvOzo65EKHSqXC5/MxMDBAUlISycnJMmqaeZMLhUJMTU1x9uxZPvvsM4aGhpSb4BJFiLFaraagoEAudkUiETweD16vl9TUVCoqKrBYLMoT1QKyJL756elpGhoaOHnyJGq1mtzcXLKzs2UUGI1GMZvNuFwuPv/8c7xeL0lJSZSWlir56CuIRCK43W7Gx8eJRqPodDpCoRBjY2Po9XoKCwuxWq3y9TP9PSYmJvj000/553/+Z1544QX6+/sXajcUviLiSVOtVss1HTHjsru7m+npaTIzM5VqjkXAklg4nJ6e5uTJk0xNTZGSkkJeXh5Go1GOmtfpdExPT3PhwgUuXbqERqMhMzOTpKQkJQK4AhFBidRQNBqVpu4lJSWzSvFmolKpsFgsZGRkYDKZZk2SVi7ipcWVhlriqSkUCjE0NEQoFKK8vBy73T6no1w4HJ61BnSzJWUKN8eSEGmRzgiHwyQkJJCdnY3BYECr1RIKhVCpVAwPD3PixAkuX76M3W5n3bp1JCQkKCJ9BZFIhMnJSYLBIBqNhpGREVwuF6tWrZpVijcXBoOBtLQ0nE6nFHqFpYe4UXs8HjQaDU6nE/jCvW18fByz2YzdbsdoNM76PTEEoL+/n8uXL+Pz+UhNTSUzM/Om2pwVbo4lIdI6nQ6bzSatR81mM4FAQA6G9Pl8nDt3jsbGRkKhENu2baO2tlZWLih8iYiWfD4f4XAYr9fLtm3bKCwsvOGjrYi6xJQKJXpamkQiESYmJhgYGECv15OTk4Pf72doaIi4uDhZljkTUfFx8uRJ3nrrLVpaWnC73TidTnbv3s3jjz9+zcVmha/GklAwk8lEbm4uRqORqakpRkdH5aBUr9fLZ599xt69exkbG2Pt2rU89dRT5ObmKgI9BzPTHSqVCofDQW5u7rwvMOFHLYr4FZYekUiEkZER2tvbpWC3t7cTDAZJTEycs7tUPIG1trZis9nYvn07GzduZHx8nN/97nccP36cqampBdqj5c2SiKTNZjPl5eWsWrWK/v5+Tp06RV5eHna7ne7ubvbu3culS5eoqqriySefpKam5qbG3MQSYvVer9eTlZXFypUriYuLm5fgzhzYe6cG9yrcecLhMG63m4mJCUwmEydPnsRsNlNdXX3dlJdarWb16tXcd999OBwOXC4XOp2ON998kw8//JDKyspZi84Kt4clIdJ6vZ78/Hy+973v8etf/5qTJ0/i8XiwWq0MDg7S29vLvffey6OPPsqKFSuUNMd1CAaD9PX1kZWVxa5du6iqqrrpTjIxRdzv99+hrVS4k4jccjAYJBqNMjo6SmlpKU6nU7YvX7kgrFarsdls2O12WdpqtVpZt24dR44cwePxyIV8hdvLkhBp0Rm3bds2srOzaWlpobm5GZvNxqZNm0hMTKSgoACn06l0yd0Ag8FAWVkZpaWlbNmy5aZKrGamOER+WmHpIex9o9EoJpOJ2tpakpKSZpmRXXlOqFSqWWOfotEoGo2GxMREnE4nxcXFS2a481JjyVxlojOqpqaGsrIyJiYmMBgMmM1mOSBVSW/cGJPJxJYtWzAajV9poUej0SgivUQJhUJ4vV4p0Js3b8ZkMt0wuLnyXBFuemlpaWzZskXacyrcXpbcVSa8BhQD+ltDr9eTmpp6y0NlxdSWUChEKBS6A1uocKcRi+7FxcXs2rWLgoKCea9JzGxucrlcDAwMsHr1agoKCq4q2VO4PSw5kRYoAn3r3Go6SCwWqtVq2empsPQQi4SpqamsXbt23sZJMwXa7/dz5swZIpEI99xzj+I3fgdZsiKtcPcJh8NMTEzI+urLly8TCAQU850lhslkoqSkhMLCwltKeQUCAUZHR4lGo1RVVcm2coU7gyLSCvNGRNGrV69menqaxMREWY6niPTSQafTyVK5mzlu4klqbGyMjo4OsrOzyczMxGQyyX9XzoPbjyqqPLMqzBNhb+nz+YAv1geUx9zYQBz7oaEhGhoa6OvrY8eOHXIidiAQID4+XuWbb1MAAADhSURBVNoGK9w+lEhaYd6IMixlbmTsIdzx3njjDT7//HMikQg9PT3odDrC4TAZGRns3LlTjpFSuH0oIq2goHBDPB4Pn332GQcPHmRgYIBoNEpzczMARqOR+++/X6n2uUMo6Q4FBYUbEg6H8Xg8DA8Py4k8wv8FwOFwYLfbrzJmUvjqKCKtoKAwL4SX9Mz/F4hmMiUffftRRFpBQUFhEaOYXCgoKCgsYhSRVlBQUFjEKCKtoKCgsIhRRFpBQUFhEaOItIKCgsIiRhFpBQUFhUWMItIKCgoKixhFpBUUFBQWMf8fmgMkaqZ6HKAAAAAASUVORK5CYII=)
Starting with the same initial Conditions, an ideal gas expands from Volume
to
in three different ways. The Work done by the gas is
if the process is purely isothermal,
if purely isobasic and
if purely adiabatic Then
![](data:image/png;base64,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)
physics-General
physics-
A given mass of a gas expands from state A to B by three different paths 1,2 and 3 as shown in the figure. If
and
respectively be the work done by the gas along the three paths, then
![](data:image/png;base64,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)
A given mass of a gas expands from state A to B by three different paths 1,2 and 3 as shown in the figure. If
and
respectively be the work done by the gas along the three paths, then
![](data:image/png;base64,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)
physics-General
chemistry-
The enthalpy change at 298K in successive breaking of O–H bonds of water are H2O→H(g)+OH(g);ΔH=498KJmol–1 OH(g)→H(g)+O(g);ΔH=428KJmol–1 the bond enthalpy of O–H bond is-
The enthalpy change at 298K in successive breaking of O–H bonds of water are H2O→H(g)+OH(g);ΔH=498KJmol–1 OH(g)→H(g)+O(g);ΔH=428KJmol–1 the bond enthalpy of O–H bond is-
chemistry-General
chemistry-
The enthalpy change for the reaction H2(g)+C2H4(g)→C2H6(g)is........The bond energies are,H–H=103,C–H=99,C–C=80&C=C=145Kcalmol–1
The enthalpy change for the reaction H2(g)+C2H4(g)→C2H6(g)is........The bond energies are,H–H=103,C–H=99,C–C=80&C=C=145Kcalmol–1
chemistry-General
chemistry-
Heat of neutralisation of oxalic acid is–106.7KJ mol–1using NaOH hence ΔH of-H2C2O4→C2O2–+2H+is
Heat of neutralisation of oxalic acid is–106.7KJ mol–1using NaOH hence ΔH of-H2C2O4→C2O2–+2H+is
chemistry-General
chemistry-
The change in the enthalpy of NaOH+HCl→NaCl+HO is called:
The change in the enthalpy of NaOH+HCl→NaCl+HO is called:
chemistry-General
chemistry-
Equal volumes of 1M HCl and 1M H2SO4 are neutralised by dilute NaOH solution and x and y K cals of heat are liberated respectively .Which of the following is true-
Equal volumes of 1M HCl and 1M H2SO4 are neutralised by dilute NaOH solution and x and y K cals of heat are liberated respectively .Which of the following is true-
chemistry-General
chemistry-
The temperature of a 5 ml of strong acid increases by 5°C when 5ml of a strong base is added to it.If 10ml of each are mixed temperature should increase by-
The temperature of a 5 ml of strong acid increases by 5°C when 5ml of a strong base is added to it.If 10ml of each are mixed temperature should increase by-
chemistry-General
chemistry-
If H++OH–=H2O+13.7Kcal,then heat of complete neutralisation of one gram mole of H2SO4 with strong base will be-
If H++OH–=H2O+13.7Kcal,then heat of complete neutralisation of one gram mole of H2SO4 with strong base will be-
chemistry-General
chemistry-
The amount of heat liberated when one mole of NH4OH reacts with one mole of HCl is–
The amount of heat liberated when one mole of NH4OH reacts with one mole of HCl is–
chemistry-General
chemistry-
Heat of formation of CO2 is–94.0K.cal.What would be the quantity of heat liberated, when 3g of graphite is burnt in excess of oxygen-
Heat of formation of CO2 is–94.0K.cal.What would be the quantity of heat liberated, when 3g of graphite is burnt in excess of oxygen-
chemistry-General