Physics-
General
Easy
Question
There are two identical small holes of area of cross-section a on the opposite sides of a tank containing a liquid of density
. The difference in height between the holes is h. Tank is resting on a smooth horizontal surface. Horizontal force which will has to be applied on the tank to keep it in equilibrium is
![](data:image/png;base64,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)
The correct answer is: ![2 rho a g h](data:image/png;base64,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)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/903925/1/901123/Picture2914.png)
Net force (reaction) = ![F equals F subscript B end subscript minus F subscript A end subscript equals fraction numerator d p subscript B end subscript over denominator d t end fraction minus fraction numerator d p subscript A end subscript over denominator d t end fraction](data:image/png;base64,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)
![equals a v subscript B end subscript rho cross times v subscript B end subscript minus a v subscript A end subscript rho cross times v subscript A end subscript](data:image/png;base64,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)
\
…(i)
According to Bernoulli's theorem
![p subscript A end subscript plus fraction numerator 1 over denominator 2 end fraction rho v subscript A end subscript superscript 2 end superscript plus rho g h equals p subscript B end subscript plus fraction numerator 1 over denominator 2 end fraction rho v subscript B end subscript superscript 2 end superscript plus 0](data:image/png;base64,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)
Þ
Þ ![v subscript B end subscript superscript 2 end superscript minus v subscript A end subscript superscript 2 end superscript equals 2 g h](data:image/png;base64,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)
From equation (i), ![F equals 2 a rho g h.](data:image/png;base64,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)
Related Questions to study
physics-
A cylinder containing water up to a height of 25 cm has a hole of cross-section
in its bottom. It is counterpoised in a balance. What is the initial change in the balancing weight when water begins to flow out
![](data:image/png;base64,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)
A cylinder containing water up to a height of 25 cm has a hole of cross-section
in its bottom. It is counterpoised in a balance. What is the initial change in the balancing weight when water begins to flow out
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)
physics-General
physics-
Water is filled in a cylindrical container to a height of 3m. The ratio of the cross-sectional area of the orifice and the beaker is 0.1. The square of the speed of the liquid coming out from the orifice is (g = 10 m/s2)
![](data:image/png;base64,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)
Water is filled in a cylindrical container to a height of 3m. The ratio of the cross-sectional area of the orifice and the beaker is 0.1. The square of the speed of the liquid coming out from the orifice is (g = 10 m/s2)
![](data:image/png;base64,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)
physics-General
physics-
A body floats in a liquid contained in a beaker. The whole system as shown falls freely under gravity. The up thrust on the body due to the liquid is
![](data:image/png;base64,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)
A body floats in a liquid contained in a beaker. The whole system as shown falls freely under gravity. The up thrust on the body due to the liquid is
![](data:image/png;base64,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)
physics-General
physics-
A wooden block, with a coin placed on its top, floats in water as shown in fig. the distance l and h are shown there. After some time the coin falls into the water. Then
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMQAAACqCAYAAADyWOBBAAAL+klEQVR4nO3dP0xT6x8G8Oe0oKJccxr/DMbEIgzXyTILpDgog0ObOOCGbmVRkpu4kMjgwiKHBTZpHJTFwKARHKQCLi6tO9SqiYMx8Qz1ci+0Pb+B3zn3LS20PT1/2+eTNPdSS/v29Dy87/e8p++RNE3TQEQAgIDbDSDyEgaCSMBAEAkYCCIBA0EkYCCIBAwEkYCBIBIwEEQCBoJIwEAQCRgIIgEDQSRgIIgEDASRgIEgEnS43QDyH0mSyn6u9ztmIyMjAICVlRXL22QV9hBtLJfLQVEUqKpa1+Oz2SwkScL09DQ0TYOmadjY2DB29FpWVlY8HQYAgEZtLZ1Oa+FwWItGo9qDBw+0tbW1Qx978+ZNLZFIHPl8iURCA2DcNjY2yv5N//1EIqFNT09rvb29VR/rFvYQbS4SiSCdTgMAFEXB8PAwJEmq2nOsrq5iaGjo0OcaHx/H27dvjd7jxYsXGBwcRDabrfr4hw8fIplMQtM0TE9PY2xszLo3ZhJriDajqioymQwymQy+fPmCVCpVseNHo1GMjY1BluWK37948eKhzz0/P4+NjQ3j59HRUUxOTuLjx4+4fPlyxeMTiQQGBgYAALdv38bDhw/Nvi3LMBAOmp+fx5s3b/Dz50/8/PkT+Xwe+Xwee3t7KBaLKBaLAIBgMIhgMIjOzk50d3eju7sbZ86cwblz5yDLMp49e1bztVRVRS6XQyaTwadPn4wQAPu9QiQSwaVLl7CwsIBwOAxFUTA7O4tHjx7hwYMHpt/jhQsXyn7u6+vD169f6/79bDZbNTxOYSAc9NdffyEQCGBnZwfd3d04deoUzp8/j2PHjqGjowMdHfsfR6FQQKFQwO7uLnZ2dvDjxw9ks1l0dXUhn89XBELf8TOZDN6/fw9VVaGqKmRZRjgcxtWrV/Ho0SOEw2GEw+GKdqVSKbx//x5ra2uIRCKHtv/mzZt4/vy58Ve9mu/fv5ft0FtbW54YCtWLgXDQ33//jbm5ORSLRfz+/Rv//vsv/vnnHxSLRZRKJZRKJQBAIBBAIBBAMBjEiRMncPz4cZw6dQrBYBDj4+NQFMUY7uRyOQD7w5xwOIz79+8bO361Ic9B+hBqaWmp5uMnJycxODiIoaEhjI6OAtj/iz4+Po6VlRUkEgmMjY1ha2sLALC4uIjt7W3jsX7AQLggGAzi9OnTpn//y5cvZcOdenb8o9Q7RBoYGMD29jZ6e3tx584d437t//MQc3NzGBkZKZun0Hy2Dp6k+a3FPiZJEu7duwdZltHd3W389ddrhkBg/6BfqVQyagq9F8nn81BVFU+fPvXdTuYnDIRJB2dr6/XHH38YwyN9x9cPU+ofhSRJxk0MiiRJ2Nvbw97eXkOvyY+4fhwyNWFzc9PtJtR0VAFMlRiIJkiSZPz19iK9SKf6MRBN0g+VetHu7q7bTfAd736aPuLFUBQKBbeb4Eve+yR9yGtDJw6VzGMgLBIMBt1ugoGBMI+BsJAXQqGfD0Xm1AzEq1evyn6+deuWbY3xO7eHTuwZqpufny/7OZFIHPrYmoH49u1b8y1qI4FAwPSkXTM0TWMgLMAhkw3c6CU4VLIGA2ED/ZQLpzAM1mEgbKKfi2Q3nqdkLQbCRk4Mndg7WIuBsJHdR51YRFuPgbCZXUMnDpXswUA4wI5egkMlezAQDrC6l2DvYB8GwiEMhD8wEA6yYujEQtpeDISDmh06sWewHwPhMAbC2xgIF5gZOnGo5AwGwiWN9BTsGZzDQLiEgfAmBsJF9YSCYXAWA+Gyo0LBMDjPO0tFEHkAewgPqNZLsHdwh6keYmpqqmxB3lQqhWQyWXZfMplEKpUqu29qagq5XK7svrt37wIoX+B3eHgYANDT02Pc19/fDwDGNdAkSUIoFAIA3L17t+z3VVWtaGMmk4GiKGX3LS8vY3l5uew+RVGQyWTK7puYmICqqmX3+UmtbdvT0wOguW178PNvZtvG43EAQCgUqvj8+/v7K9oYj8crPpuJiQlTn1XN1b8bWbGgnUiShA8fPuDYsWPo7OxEZ2encRUg8RYMBtHR0WFcAEW/GIq+GEG1kImrgeuLB4irhZdKJRQKBRSLReNqQ+JNXyF8d3cX165dO7S3UVUV/f39+Pz5s1ObrSFWta+RfZg1RBtTFAW5XA5TU1NuN6UqN9rHQLQpVVUxOzsLAMZ/vcSt9jUdiHatJ6x28KIpVqq2bUOhEPL5PACUjeG9Uk+EQiFjO6uqiq6urobqiVQqZW5bsYYwx+oa4iA7awh9bD4zM4N4PI61tTXE43H8+vXLqc13JKvbxxrCZw4W0XYfck0mk5iZmUEsFgOwfwXTpaUlz9QSbraPh13b8LBrJBIxDksC+9s5Go3i9evXTb83K7bty5cvEYvFjM9Xf1wsFuNhV6+yashUi52HXfX34eVJQCvaZ+lix2QfL++I7YqBcAnD4E087GpyzNusaoX0YbdmNbJt9cOuZll9Goeu0dM4eNjVYc3UEGZ5oYZYXFxEMpnEysqK6ffRCNYQLc7vQ6X19XVcvnzZ7WbYhvMQDjp4xKjRmxfClM1mMTQ05HYzbMN5CAfnIZoJg34z46htq/+/uG2Psrq6iosXL9Z8LatO/9afk6d/e1yjNYTZEFWjaZorNUQ2m0Vvb6+jPRVriBbkxOkYTvj48SN6e3vdboatGAgHtMoiY+vr67hx44bbzbAV5yFsnodotpC2osC2ah6inoKa8xBtqp4awokrkVarI+yqISRJwsbGBgYGBqxqfl2vyRqiRbTKUAkANjc3AcDRMLiBgbBJqxTSuoGBgZZ6P4fhPIQN8xD6YVGnbrV21EbnIcxsW7uWodHbz3kIjzuqhmj0Q7CCGEJ+H6IcawgXtVLd0I4YCAtpmuaLy+WqqgpZlivuz+VykGW56r+1C85DmBzzVlMsFl2/VXNw2+rH9A9u256eHku2Lech2tDBGsKOi7ObVSqV6lqGJp1OIxQK4fPnzxgeHsbS0hIikYhLra6ONYQP+WWopJNlGdFotKw3iEQinguDGxgICxQKBbeb0LCZmRljmJHL5bC0tORyi7yB8xBNjm2dnG9o9Kartm317QkAJ0+eRCQS8UzdwHkIH5IkyTidwcuOmmFWVRWhUAjpdNqzwyXWED7i9/N6ZFn2ZCHtJgbCJC/P7jZCXz/Vq5zezpyHsHjMe9Sxcv2coVpjXkmSkMvlKtroxLZ147ymZlWrJzgPQXQILodPZBIDQSTgPATrBte/D3GYxcVFjIyM1NwfOQ9BbWF8fBwAMDc319TzsIagluDGspkMBHnW6uoqgP+GfPUMn5rFeQjWE67XE9Vks1kAwOTkJDRNw/b2NlZXV437RWIbOQ9BLWlxcRF37twxZqr1dWW3t7cbXo6fNQT53vr6etmOq68ra/e1KRgI8qSDBfXXr1/R19dn++tyHoJ1gyfnIQ5eh+Ldu3e4fv161cdyHoJa2ubmJgYHB8vOdO3r68Pjx48xOjra8PPx+xDka9W+1LS1teXIa/OwK4dPrg+fmiW2kYddqaVJkrNfIeVRJiIBA0Ek4GFX1g2uH3blMjREdWINQeQiBoJIwHkI1hOerid0XA6fCKwhiFzFQBAJOA/BusFzdQPnIYgOwRqCyEUMBJGA8xCsJzxdT+g4D0EE1hBErmIgiASch2Dd4Lm6gfMQRIdgDUHkIgaCSMB5CNYTnq4ndJyHoLa1vLyMTCZjhE3TNCiKAlmWMTY21vDzcSlL8rVYLFa2CLKiKJidnUU6nbb9tRkI8qSZmRljKDoxMYGFhQXIsmz763IegnWD5+qGeDyOWCyGQOC/3fPJkycV25bzENRWlpeXEY/HsbCwYKp20HEeglpCLBZDNBpFLBZz7DUb7iGInLSzs4Ouri5Ln5M9BPmW1WGopWYgzpw540Q7iBxx9uzZI/+9ZiCuXLlS80mI/ODs2bP4888/j3xMzRqCqJ2whiASMBBEAgaCSMBAEAkYCCIBA0EkYCCIBAwEkYCBIBIwEEQCBoJIwEAQCRgIIgEDQSRgIIgEDASRgIEgEjAQRAIGgkjAQBAJGAgiAQNBJGAgiAQMBJGAgSASMBBEAgaCSMBAEAn+BytOGGHDpx4WAAAAAElFTkSuQmCC)
A wooden block, with a coin placed on its top, floats in water as shown in fig. the distance l and h are shown there. After some time the coin falls into the water. Then
![](data:image/png;base64,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)
physics-General
physics-
A homogeneous solid cylinder of length L
. Cross-sectional area
is immersed such that it floats with its axis vertical at the liquid-liquid interface with length
in the denser liquid as shown in the fig. The lower density liquid is open to atmosphere having pressure
. Then density D of solid is given by
![](data:image/png;base64,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)
A homogeneous solid cylinder of length L
. Cross-sectional area
is immersed such that it floats with its axis vertical at the liquid-liquid interface with length
in the denser liquid as shown in the fig. The lower density liquid is open to atmosphere having pressure
. Then density D of solid is given by
![](data:image/png;base64,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)
physics-General
physics-
A U-tube in which the cross-sectional area of the limb on the left is one quarter, the limb on the right contains mercury (density 13.6 g/cm3). The level of mercury in the narrow limb is at a distance of 36 cm from the upper end of the tube. What will be the rise in the level of mercury in the right limb if the left limb is filled to the top with water
![](data:image/png;base64,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)
A U-tube in which the cross-sectional area of the limb on the left is one quarter, the limb on the right contains mercury (density 13.6 g/cm3). The level of mercury in the narrow limb is at a distance of 36 cm from the upper end of the tube. What will be the rise in the level of mercury in the right limb if the left limb is filled to the top with water
![](data:image/png;base64,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)
physics-General
physics-
An iron block and a wooden block are positioned in a vessel containing water as shown in the figure. The iron block (I) hangs from a massless string with a rigid support from the top while the wooden block floats being tied to the bottom through a massless string. If now the vessel starts accelerating upwards, the incorrect option is
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)
An iron block and a wooden block are positioned in a vessel containing water as shown in the figure. The iron block (I) hangs from a massless string with a rigid support from the top while the wooden block floats being tied to the bottom through a massless string. If now the vessel starts accelerating upwards, the incorrect option is
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p1cU9RiAShcXWX2xVU1S4pClEgIKlqj4iIFFlpVOaLaIHUSVmOaLSIiN5/fzhxHE8b1+1tdHwXCjGb9DOmL6aU1JaUkXGG4SSp8YcaCzT28omIQmGRRIkoEJRo87ZDdO/9fchgjCcAZExIII7nSR8XTxzPk0ajpxVLayerL0heL/shExEJgkQup4dEMXIYkCSZ1q7eSn+/+T7SaPQEgEZ/No5pFw6LlJNTSna7l+HEsEgVZVVUXW1jPnRZkslW46CqqhpG9ShJMuVmF9KZzHySJPZBFOSVUXZGkaq9w1bjofQTeeRyBRjuy68nEM/paPuWpj/TxEx7U1Vlg9fjQnV1tJXx2PEsvNZ/MH74fmEkeLwe3G4fvvpqGj77bDIcTlZ9tnb1Ngx9bxTyzhQy3O7th9D/ufeQdZJ14z2Rlo2RQ77DqRNZDFdjd+Ptd4diwfwVDOf1BfDuwFEY+P7n4KDgzn9cj6WLFmD61HmIM1oQ8nhAigIh6AcpCtq37YTrb4jIyOPHzcS99z2C9HRWTbp96yG88NzbOJMVGeuK5b/iiacexZGj+yDLQu2zYO+/uLgMfZ5+CXNms16b5eXVePmlNzBo4CcIBqP9NhwOD4YN/gKDB34Kvz8YxYWDEkZ9PBrvDxiKgC/atYAUYOaP8/Dee4Ngt0VbtgFg4YKVePThp7Bh/U6G02o0UEiEzV7NcBcaMZPpK6ptUEipPdCcR1JyEq77y43o2L41uAafpIbnodOZoDfw0OvZINPklGS06NAOOgPLWawWiAoPXsN+54Y4I0jPg+kQEXVep04d0bpdK4bTafW44/ZbEGcwQqOJyKiWBC36PvsoAiEBn40eicqyiHtAvCkJ7703GO06JAMAbvvHjeA0AlKbNWOue+VVl+OVV19E2/ZtImOIS8Jrb3yIe+65BYPffxcZGcfRsQMrU7dt2wbjx32Dlq1SGK51uxYYOvwj6PU6xMU1eOZJCXhrwOsAB5jN0WpJk1mPkaM/hsfthTkh2iOS44G33n0VAb+I1GZsn489cT+u6HIJrrySVVnaa90/eE0M4iWbfG+pxYCBn5HRaKID+1kXgguGJhaZfpi3ljT6OOrR/Xpau+owSawXwe/COYkjHCa67R8PEQCaN3v5fzw+uRELrCwrFAo3PlhZatwy3qjFXCEKhQQKhSLXHfnp1wSA1qze9gdG/N9BzMQbRVEQCgWQmXEW+WcrkJGZB1HFy7Kq2oWt2/ahUiUTmsvlx+at+3DiJGsNFEUJO3fsweHDx6EotVau2kVFkgn7DxzH4YMnEQ5GWwQVGdi/5xi2bdiNYIC1sp7NK8POHQdV76mkpAorV2xEZZkbAHDtdT1gsSSi8+VXIcGciM9GTUX6cXasDocH30+aiw1rdjMGOUlSsGTJVgwd9iMOHshDnDFizKmujliWN/y6B99++yNTooYIWLx4HYYN+QoFeazj3IqlG/DyCwOQlXGW4ZavWIsHHnoUO3axltTyMhveGzAKe3alMZzb7cPIEeOwZPEvDFdRYcNrr7yHN157Hy5XGOB4cByPuLimj6eInWtxrWW0vMyGFcu2YPKkWXDYWTfT7Tv2YuiHnyEzi305FRV2DB8+BstUvAEFQcSC+cuwbu1WSFK0WkxWgKVL12DyxBnwuv0NOAUb1+/EzKkL4FVx1809k491a7dDUMnD6XH7sWDuz0g/HpHTLXFaGAxa2G0VCAZ9cLgq4fOzLhJ2uwvbtm5DZRXrIgFw8Pl9CAV94HiC0xF5RmZTfO14Zeh0Gmg00SpZjgO0Wg1cLj84Xsdc1Ww2oWXLloiPZ62sqSmJ6Nq5a53Pe33Em024/oar0KIlGwcRZzSgc5cOaNYsmeVMRvz15utx511/R3y8DskpVhgMcbX5jJoYTb631KL/a8MIAP0wdSm5XSGy2dyq2gGfL0glJVUkiOy+qchEBQUVZKv13GsIp8NDXq+6Os/l8lNNNespSUQU9IfJafdGVHMN+1QoSl3ZEF5PmOTasWafLaTk5q3osYef+03RShRlcrl8jfJKbb8Oh5eu7XUzAaAFc5Y2fsGGjf8HMWnyNOI4jpYt+bXJ+46d701KMgAtEhLikWA1ICUlARqVQ2Z8vBFt2zaHTsuuCBwPdOzYEikp6mkkEpMsMJvVw9GsVhNSm6nHZxpNeiQmm8HxtX3W2yg4DogznV85gwEJodB5Ecls0YOvHWtFlQc+rxfhcBCiEL3bBAMKqir8UBRAq+VhtZ5fVf1+AW5nEHKttMfV9iuKIfgDkQOgy8MG1Pv9AWRlnoXd5q434Mh/kqzgyJFM1cCQUEjC3p3p2LXtOGQVEbOi3IWjh88gGGCjdTIzCrBl0wGEQyxXUW7Drp0HEfCz/k6yBFBEZc5wFxoxm/SBQABarQYpqdHbZG5uKT54/0ssXLCKaVNZ4UDfPm/jtVc+QE1NtPmaCBj24Re4797HkJOdx7SdOGEubv7LA9i78wTD7dh5GI8+8gJ2qgRxFBdV4ZGHnsecGYsZzusJ4K3XhmLo4C8QUnnp27bthBD0wZpgAV/Pj4sUYNqU+Xjssb44dJBVWc6dvxRPPvUijh6J5iwJZtx82x1o06Y94s2s6HHo4FE8/PCDmDVrLhPgUVltx8BBQzBr9gIoDbjqiip88tFwLJw3RzV6bcOvGzB71hyEw2y02Lq12/H9pLlwOlgHwJLiUkya+D0KC4oZTpYjC4Vex4peFxqx871RKLJ8NVjAU1OtuPTSjrBY2IiaeHMcOl1+GQQxCKPKAejKHlfBbIlDy5ZsfsTe118LEI/2HVnVY7s2rfDoI4/gkks6MlxSsgWPPPoQrrq6M8MZ9Hr07fs0DHG6ujSF9dG5e2fwWh1McQbw9dweOR54+NHb0fvGHujcpR3T7v77bkfva69C9+7Rask4oxHfffMl3n9vADq0Y7PAXX9DL8ycMROdu16OhqJy65apmDNnMqwJCeAbcG3at8L8xT8g3mSCwciqe5957lE8/tT9sCayH9prb/4TL/d/CknJrLdkr+t6YOasKbAmsu8yzhgHAJDkGOQ9anKBqhaDh44hnd5I27ezEVH/V7D7aDrp4kx07x2PkKRyJokpFCK5EadTIiIxTI27GgQbV3f+qz7PXfOLUREP1SWL1vwbF/rPEMME0gQNrwGn0cBmcyIvtxiyylefl1uMdWt3w1ZfTq2F1xfEnn2nkZfHZskSBQmbNx3AwYMnmNVEkQnbthzGlo0HIAjRYgkpwNbN+/HjtPlwONg+szKLsGjhejjsrGanqtqJ6dN/wt7dRwEAeq0eBn0c3C4ftq8/gfHfzcHB/ax45fUEsWj+GmxYvZsJnAmHZMyeuRyvvfEhcnOjtTsKEcaPn4khg79EhUow+uxZy/F83wHIzWbFi6mT5+O1/kOQm8PK+KtWbsY/bn0CS5dsYLgTx3Jx3919sGr5ZoYrK6nBq/2GYOLEWQzn94Xw2affYeCAT+D3yggLodr7a/rUJzGb9M2bp0CWFXjdAaxauRVTJv4Ar4eVCydOmo5+L7+CUydPMlxJSQVGDP8UPy1kze5Olxtff/UNJo2fwujbhTCwfMkKLFm0DEF/tJ5ekgjr12zFkgVL4fWw6sWs03nYtGEz3G72gyjML8SG9etQVRn5CLWyBhpOC2gk2GrKcfzgIZQVsak+fB4/Du/Zh7yMTChy9IGX4wkBnxM5WSdAFH0fHACdRguDTgu+ocwCwBIfj6REA+LNrMjSpccVuPPem1VFlnhLHHrf1APderBW38TkeNz1wN9xzXXdGM6cEI+rr+2FLt1YC6zBoMc999+F+x++D0aTBgpXe5+xqL/T5HtLLT79bDxpNAZavWojBYMh8vsCqt6Q5eU2ysstrXO+qg9ZVqi62kNeLxu/KcsKlZfbyOXyq27ToVCYwiF11WMoFKagX13VKcsKiSrOVUQRj8j6wdvpp85SQmIruvXmO8nvDZEsKar3SESk/Asnu/BvWEj/f8SQIZ8QwNGva/5EFlmnyweeIyQmmmA0GmCKP2+okCSqSxHSqlUKOl3WBlqtBkRAOCzVLQ48z6FZMwvM5sihVhQVCGEZshzJKd+qVUokxI0DJFGB3xeCVHtdg0EPvSGiOVAUgsftr0sVYjDoYTRFVJ2yTCivqIbT5a7rU6vTwO2RIMsEfyAMl8sLWVbAcRx09bQR2WdK4fO5YE2wQqfVgNdw4DgOiqIgP68UuVlFCAUjGhFOc/5Q7/OGkJ9bBqf9vFpSr49c1+nwY/+efJSVsg5efn8I27cdQVZmAaMK9Hr92LJpL/Jz2Z0mFArj8KFTOJNddN56XQtFIezfdxQrl2+C0xGtJiUCdu9Iw6IFv6CqkhWvSksrsHbNFlSrWNNDYRkcxyE+nt1pLjRiMukVBXDU2CBKAsQGMnVuTgleePZ1fDV6AmOSd7s8+OTjMZgy5ScEAqzud+rkWXjz9cE4fuw0w+3aeQTPPfM6dmzby3Cn0nPw0H3/xMxp8xiuoKACd97xMD7+ZFTU3xMStPB4/Bjwzig8/cQrqKxkvQWPH0uHIoXQrWsP6OrF0IaCAga9Nwx33Ho/ck6zMvW+PZno3/99bNnEugEcOpSOBx96DDNnsHmACguK8MEHw/DDD/MgNzgbHD2SieeefRU/TJutco8leO7Z/pj6/ay6CiHnIMsK5s6dh2++/g5VVdH3qCiELZt24tNPRyHrNOu9evJUFubMngu7g42OSklOApECh5P9eC84mnxvqUW//h+Q0WCitP1Ho/5eVeWksd9Npp+Xsaf6UEigDRt20pYt+ygcZkWM3Tv30epVv5Ld7mK4ygobrfllPZUVlzGcw+6iuTMX0KEDrG93OCTQ8mW/0EEVTghLtGnDPvp19XYKBlnxY8WqfaTRxtOb/QcR1TM2KwpR5uk82rrxAAX8bL6aQECgs7kVqmk3gsEwHTuWSVVV7D2KokSVla6ISNcAoaBAZ7LKyOlU8bUXJcrMLCB7jbpl2+sJkL3GoyqaBXwhKi9ykiiw1nRJkikUVBcTvxwd0d4s+mm1Kn8hEbNJ/9zzA0ivM9D+XQdiNYQLjoNHcijekkoP3P0kiervXhWSiiqxsaB1Imr0LCCKMglhUZUOCxIFg2GSVVwtJEkmn9dPgsAORFEiH5Cay4iiKOR2ecmnkghKkmSqLHeS0xFJIPXZZ98RAJo5Y3Hj93WBEBvxhgBSOMiygnBIi/zcSuzafhBeL6sG3LHtEBbOXwOXg9WklJfVYPGi1Th0MJ3hfL4Ali/ZgPVrdzE5Kf1+AcuXr8f8+cvhcbPm/FU/78QHH3yHigpWFt28bj/GfDGTSQcIAPv2nsTHH01AQX4kBQlBAUAIBHzYsf4Ypk1YipwsVn2YlVmE/i8NwvTJCyBLkfKeUq3U57D7MeKTsejX721UV7MOeSuXb8PXX02Hw97gPggY89U0vPjsO6iqYPNVTpu2HM/0eRO5KgE3v/y8Cbfffh/W/LKJ4UpLKvBq/4FYvZJVWTrtfjz5xMt49ZUPEApFq4kLC0vx8MPPoF+/wQj4ZMi1CUh57k9Sc0pRALfPC61GC1GSsHfXIZw8dRydu3aCpYFn38EDadi8cTOuvuoyJCZHq8nO5BRg/ISpeOqpx5m6VT5fAAsXLIDVasEtt/WOClbxeLxY9csvcLvt+Mc//oYEa7Q1saS0CNk5xxAWooPNAaCkrAKnMk7D47kbzVtEexOWllXg4MGDePLpByJj8IchiCKs1mYwGDVwe2wIC0HmmhxPkGQFoiSB54C4ONSdZ3ieg9lsQWpy24j6swGSkuNx2WUdYIxr4GPEAZdf3hHx8XrEx8cx7Xr17AqjTkGr1i0ZrtNlHXD//fei+5Vszh6r1YIHH7oHV13DqiXNCUY888wT0Bv00Ouj19NmzVIwYuRQpKSkwmDkociRe/GpLHQXHE2+t9Ri1OeTKM5ooR1bDpEiUaMWy3BIJrfTp+rxKEkKORxuEhtp6/X6ye1Sl1MFQaRAQD1V3b8LRY6k6zuHI1/xVYoAACAASURBVOlnKTG5LX0w4PP/aj//FzDy07EE8DTh29lN3nfMVJatWjeHVquFRkfgNICmnhelLKEuPlZv4JGQGF/n8SiEFdT6KkGj4ZCUlFBXtE0MA+Hgea2F2WxCgjXigen3CXA5QnXp7nQ6bV0AQzgkoqiwsq5QRH0ocsTpzFbDxqRG0mi7UFZSDaKIT42unh0oOysX4bAXGm20JkWWCWeyCnDsyKm6lOX1Yavx4OD+YygvYzVClZV2bFi/E4WFbBa3inI75s37GQcPsFZfu82Dtb9sxqH9xxitmNcbwM/LN2LfnjTGViQKMrZs2Ik5PyxTVT2ePpWJTz76iklBDgAFZ8sxf94KOFXimcNiEHqtEZdexvo7XWjEbNKXltmgSBKTfi4nuxSv9f8Y8+exXpahYBifDP8GHwz6DB4V6+2476Zj6KBRcNaw8v/KZRvQ959vIiuDVREeOpCBxx9+AcsWsfkqz2QX4dWX38f8ucsZzu3y4c3Xh+L990bA62G36f17dyPod4Mo2jtREiVMGDsDQwZ/jpoqdkKcOpGD994djrTDrOp1545D+Pzz8cg4lctw5WXVmDhuMrarqGULCsvwzbffY8WytRAbpC53ubz4cdZC7Ny5l/kgeI5H+okMLJy3EPYaVvUYFgSEBK+qRbi8vBoH9x9h+gMAo9EIWRGjFrsmQ5PvLbUYNmICJViS6MSxjKi/V5TbaN6sNZRxOp9pI0ky7d2dRps37lW1pqYfy6RDe46SpJLrJS+niDZt2KOadsNu89D6tVspP6+Y4TzuAB0+mE6lxZUMFw6LtHfXETpyKF3VYrx81VbitXrq+1Q/khvkgikurKSsjLOq7YL+EGVnF5DXy6bO8HoDVF5mJ1lFeyLLCjlsXgqoWJMFQaGqKqdqbh1ZJqq2ecgfaNwKba9xR6ldfy/ERgzJ4yZMJ0BDv/y85Y9f9D9EzCb9wKFjyBxvpWOHTsdqCBccu/enk1YfT48+8BTJIfq3opgUhcjvEykcVFSDrhWZyOsJqXo9KjKRGFIP1lbkxj0lQyGJCgrKyO1mPzpZVqiqyk4BFbWkLCvksLtIUNHZKzJRWWkVZWfnkyAQTZ4ymwDQ/Lkr1AdxARG7vDeV1SBFgd8XxuH9GUg7nK7qe1SYX44lP61FSTFbhaO0pBLffDUJO7azlkuHw41vv56CaZPnwN8gw3EwKOPrL6dgyuQ5oAZZ5RQZWL1qGz4fNR4V5dHB1gCwfNlGDHjnE2RlsRbI7Tv34/mXBmD/vlMAIjK/VsvD6XTh56Vb8OYrg7F7J1v5Y9u2/Xjgvr6YPWMJw1VW2ND/5Xfx6iuD4GogG/t9Ega++ymefPxlZGezMcTz567Gqy8OQlUZq7LcueMIhn/0BaqrWe7UqWw8+cSLWLjwZ4YrLa3Ak489h0njf2Q4p9ONYUNHYPbMeYyY5HS6MX36fEyY8CMqK+3Q16ZpaZhnpykQsyASa6IFPM8hFBKwc9d+tGidgGt7X838rry8GiuW/4JLL22Pdu2jg0MEQcTRtBPo2LED24HCISenAHotz4bAkQy3y4fkpCSVMvUEn9cPh90HIczKoi2ap8ISbwWvkiNHq9PDmpCIFi0iOWDOHbBNJhM6XtIWvUPXo8MlbBCL1ZqA1NRktFAJfklIMOGOO2+D0aiHKT46cIaDjL/99Xr85abeaNOWbXtNry6gkFw3weqjS9dLAe5WJKoEeHTrdhkmTvwSbdq2YbiUlCQMGjQAl1zCPvOkpAS8M+D1iD9Ng+eaYDXj7XdegSwraNkyCbba5FCJ1hgU2mvyvYUiouGLrw4jg85Eh/edJFGUG/U+JCLy+wRGJj6HxjweiSIqzcbaNQX2Hsogg8lK/3zi5f/ZAO1YYfRXkwngac0qNq/nhUZMxBsOgCzJkCQRHo8XWi1fz8NShtPhigruMMXrwGsi3olulwc+3/mqgNraMD1FIZQW21BT7awLRtFouLoMWk67H2cyS1Qd1Xy+AA4ePInSUlZFKIRFpB3KwumTbNytoijIzSlHYV4lqGHgKYD09JOQhBBMDdJsKArhwIF0bNmyH6LIBs7kZhdj9840BPxs3G1uTgmmfj8Px49lM1xxUQUmT5yNIwfZ2AOHw4cVKzYgK5MVy7zeAObOXI41qzZDbpAuhQjYtH43Jnw7Q7Xw3Mplv2LkiK/hsLNaqE0bd2LYh58h7UgGw5lMenCcNsortakQG5megMSEBPAcB66BUF1V6cQr/QZh395jTDOX04P+/d7DsCGj4fNGy4J+n4hPP/kSA98eirISdvJu2rAdz/6zn2rZypycYrz55kBs2LCd4Qryq/DqK+9j5swFDOfzhjByxDf4avQECEL05CUAJ9NPQpbCERtDve0+GAhjzNdj8e0330JQCbbevn0v5sz+SdVamZWdh/nzlyH9BBtQXlPjxIH9R3E2n1XLFhaW4acFy3BGRfZXFMKJ9EyUlpbXptiOvpOc3AKcPJmpKtK5XD7Vsw8AmOLiEA7J4FgZEoGAD4nWRLRpw4pQFxxNvrdQZKd/5dXhlJyQTOmHT0VxkihT+ok8sqtUtpMkidIOZ9DxtGxGZSfLCpWXVNPZrBJVRymfz09FZysoqOLVKAgiFRZVqlYTFAWJsjPKqbqKzZEjywoV5tuo4GylqviyaXsaxZmt9MGgj6PvX1GotLiGSgqr2UYU8aT0eNTz4IiiRB63T7V4WeReZFUnMllWKBAINZqBuTGrNlHknTTq8Kb8e/GyX345lhIsKXTsSM4fb/wfIiYHWQ6ApEjQaHUwxkVv/Rotj6uu7qTaTqPR4NrebJgaEPFRadWWTYZ6DvHxJsRfymbzAiLW2Q71DsmKApCiQKPlodVp0Llb9OGzfhBLh0vOJy5VZKUujw04gGQeIB5GgwVEkVSDGg0PjYZHm3ap9S4IhMMi9HodOB4wGvUw1stKIIQliKIIU7wRWq0GloTz/knhsAhSCAajHhwH6HR8VDtJkBBnNoDnOcTV888J+ENwu31ISbVCr9fVHboj7QR4vQFYLGboDVpotNErvMftAykcrEmRA+u59CZEhKpKNzS8Bs1aROciUhQFpcU2mC3xSE6JBxQNPF4HcnNzcM11l6u+lwuFmKksTeY4uNwulJbV4OD+E/hp4RpV9dWubYcwfdoiVFawW2hpaQ2++GwyNqzbxXChkIDpUxfhx6mLmMAIEDBn+krMmb6CqSguiQrGfzcHzz/7DvLz2cJrGzbuR/9+H2DXLlb1uHPLQfR75l0cORARPYKhIIJ+H/Ly87Hq53149oV3kZbGyrcZGfl48rH+mPUDG+vr8QTw1hvD8ULft+F0RsflyhIwfNhYvPTCYNiqo10oFBmYMmEh3n/nc7hUqi1+9eVE3Hbb3UhPP8VwW7fuxh13PIAd2/cxnKIQPh3xJb74/DtGxex2h/Hh0C8wfTobjGOrcWHggGH47pupAABjXKT8Tkho+sDwmKz0RIDH7YkkcQ2GUVVjw8n0dDzw4G3Mb4PhICoqSuH1+NGyVfRKHgwG4LBXgeNVSrgQEAz7YDFbVPMlNm+ZBI1Wy6SK5nkOHS9pC41WhjWBzZzWLDUJ3XtcgTZtWBXh5V064aHH70O7SyJVARMT9dBoNXC7bLAk6HHHHTejUydW1ZeSmoj7H7wDV17NejXyGh633HYTkqxWxMebG3DAPffcAa/XhcTkaE9Kjgfuf+h23HfvrbBY2ZC8F1/sg3vuvR1X9mB3zpv+0huTJ49Ht+5XMBzHcXj3vbdARExuHbPZgG++/hBGI5tVLjnFinETP6tTn/q8EdtJnLHpE7jGRKYXRKJHnniDDDoTHdh9PBZDaBJs2ZFGvMZITz/+UqyH8j+Hj4d/VVs8e/2//vF/GTERb3geEEUBySkpaNGSTebv8fhV8yYSAdWVTlSWO1Sttw67F2XF1Yz+AYhkBj6TnYewSh1Zvz+MnJwi+P3sVhsOKyjIr4TbxTq4kQKUlNSo5pwBgFBQhk5rgNmUEJUPEwCqKpzIzS1lRS8ApUXVSD9yBj4vO57i0iosXrweuTms+jA7uxBffjkVp0+xGhqH3Y0li9YjLY11YgsEgljy02r8NH8lwqFobZIsK1i0aDUWL16nqu7dtSMNP/6wRPX5uJx+bNl4CB43y5lqA+9drqaPkY2ZTG8wGKHIMlMx2mZ3YdjQkZgzk62I7fMF8Okn32DUiG/h97Hy/08LV+GLT79DtUrE0/z5y/Hkk88iPZ196YcPp+Ptt4dg3z5WTnfYvBg7ZjoWL2JzrodFGQsX/oqDe1i9OADkZp2BIAQgCAHmSR/el4vtm46BU3kFa1Ztw7ejp6G6go2Uysw4i8WLlqKkhHUtzskpwJw5c3H6NKvOdHsCOHT4ALKyWO/MUFBAWtoxFBTl11X/OwciIDs7CydPptdli6iPjNOZOHLkCCSJXaS0Og3iE0zQaFkpmqtL1tv0XpYcUdNn2yECnnl+ILZtWIwD+/ej0xXnkwoJgoiszBwkJyWhXYfoKtSKTDh7thgcx6NTp3ZMtRxbjRtBfxBt2rWMSpgKAJWVNhQVFqF7jy4wN0h+GgqFUV5eg2bNkmGxsBqewvxqpKdn4PIrOqG6ugIKyYiLM0EUFbidIuK0HLRGGRqNFtZEK0LhAGSZx+zZczFz1nj06HY1Pv9sNDQ6LSrK7IDCQRAk6PU6dOrcDnaHGxpOgTXRgjijBaeP54FEBa+/0wdgPQgghgk6AztZZJng9YZgscRBw6bW/G1EV8C84Bj28Zf4evRwLJy/An2fe/xfN/gvIjbhggRotVrwnAakRD9pvV6Hq3t2V23HazhcfoWKn00tUptZgWasLwkAtGyZipYtU1U5o9GASy9lE6Kew6FDx/D2O6/CYExAVWU5FJLAcxwIMvSaRCgIQxC84Dkj4kzxUJQwiEwIhqoBcDidmY6n//kUFOIgSzIIEjjwICgwxydDIUIg4AEHLbQaHTg+iL/dcA+ef/UpmPQ8FAng672p+hPe5w2D1/AwmXTQaDgkJkYfaEURaMzo6feFoddroNNroya8IIjw+wKwJlqZeAdRlOHzBmCxxEOriyaJCOGQDECBMY79Wu12NwRBQqtWKXU5h9TEuwuNmEx6DQ/ExZkAcHBU+bGrJA1aowZ/vfka5rcnT2Tj9KkM3HPvXUhOjdamFBdXYPvWfbjhhmvRtfslUZzX48eM6YtwZfeuuPO+6ALBsgRM/WEhZEXBW288HzUpBEHCiuUbUFlZiX79/wmr1YzikmLY7CW4//5/4vZ/DIYkSZDEECRFgFZjgMlkgiAEwPNaGOJ0kCQBfo8C8ISUVDMUKNDpTPC6fTDo9OA4DkajHh6PFwmJyTBbLMg7kwtFJtgd1Zg6bRzCchC8jkNFpQvjxszElT0ux7MvPhw1Ce02H4Z9+Dnat+uIQYP7wxQfPbvnzFqJwuISDBnyOuIbOKstW7Ieq1b+gg+HvYOeva6M4tav34ZZM2fjzbfewL33RmvU0o9l4KNhn+PJp5/AK689HcVVV7mxeOFqXN65I+6575aoyuehkIjx42ZDo9Pj00/fqov31Wr/mBsC1Sa7/k8QMy9Lt9sFg0EHnVaL9NMFSG6uXlihpKgMv67ZjOt7X89MepfLj6LicnTvzqrdJElB/tkitGzOGqxkBfB5JSQnJYDjovd1rVaLVq1ao6TEBql2FTKaI6vn888+g6f6PPDv3vK/QKSqd0gA9h7YDWOcDhoNEB9vwNU9e6B161RG+oiL0+Pxxx9Am7atYTKxk+eGG6/BDTdeo6pC7NzlUrzcvy8uv+Iyhrv++l4wm03orpKT8ooul+C9Qa+jXfv2DJeSYsGjj9+LlNTEqAkPAEajDq+91hdanRE8hzqbwx/NcPZfqdbT5PoiikTqPPvcB9S29SVUVFD6L38fDov/lpeiKMpMMeB/B5OmLyIAtHD27yt5I0kybd58hObPWkUeh3qB5MYQFojuuvsJ6t37L+Sw/7G2/z9hwLuR8ktLF/1Jyu8oBASCfgRDAQhitBpMkhS4nJ6ogGl9rcwpChKcDhd8Pj+Tq5EIcNg9cNo9dfkYtVq+rhiC3xdEwdlKVTWgzxtC7pmKuryS9SErhLycSEVAIcTyaigtd+Htt9/Ey6/0wZ6d6pUIG0M4HBG/REFQzeibkVWIxQtWo7yUjVctLKzCkkXrcPSwShHoGidWLFuLkyoFoj2eANas2oEd244wXpayTNi8eTdmzlwCh0OtYPVOjP12Rp2xqT527TiIb76agKICNn+mhtMD4GCMgXEqJpNewwMGoxGhYJDR4Z49W4YXnxuE1at2MO2OpmXi6adfwdjvpjPlbvwBGa+/NQRDhoxEIMC6665csQlvvTkIOSrJjQ4dOIl33h6MtCOsOtPpVXD4SCTfvES/b9L7/QK8PickJYzMM6wL8G9BowGCQgABfwDBEKuWzck9iyXLfobdwaplMzPyMGLEZ9i6bRfzveRk52HatBnIyytg2nk9PixcsBIHDxyH3KBMuyTJOHUyG2lHjtdVhDwHIsDh8MJW42ISvwKArdqF/LOljAcqAKSmpAAguD3sx3vB0eR7CxGFBYXueeBFSkpMpVPHs6M4vz9MRw7mUnUV62XpdHnp4MEMKi6uYTwJZVmhg4dP0alTeaoxoVVVbjp5Ip/8KkHTPm+IsjPLKKASGC0rRO8P/ZIA0KQx037X/ZVW2OjyK64mADT+u9/X5hycboW6dr+Jbr35dgoH1YO/1QLGiYhEQaaCsxXkV4lfFcIiud1sHstz1/S4/SSqBNQTEZESCcj5w1AaL6b89ZipBICWL133x6/7HyImB1lZkhEKBmEwGmG2NijLbtLjuhvYwxUAJFrNuOGGxr0sb+jdo9E+mzdPQPPmCapcvNmAzl1bq3I8B6TW1kVVOxA2Nha+1viSmqKuJm0MhIh6wufzQRQk6I16KEqkCp9Gw9dmPIscrIki6kVZBuLidNDqeHS89HzGMr8nDJ2eh96og06vhU5/3ndHkiQIIRFGU6QeliXh/HtQFILbGQTH8UhMNgIc6g6msqSgptqJpGQLU59KFGUUFVUj0WpBajMzUC+MQBAVZGWVwpoQjw4dUqAoIgAOJtOfJFW3VqtBcnIKgoEgqsudmD9rDZYvXcdsnwCwes12TJ7yk2oyocKzFRj77SxknGKjgRwOD77/fhbmzFnKVMwL+EVMm7IcSxZvYMQAWSYsXrwaHw75AmW1AdXnqoM0LNXTGBQF4GqdIUQVS+VvgQMQZ4qDrcYOfyCIvNxSvNDnLYwZPYWxiHr9EkZ9NhnvDRiBqspo660QVjB86FcY/P5I1bPK7FmL8NADT2HPTrai4v696Xjk4Wcxb+4ihjuTkYdHH34Sy5esYbiigiq81u9NjBg+iikhaq9xYuQnH+Pjjz6F1y2D5MjnEIpB+Z3Y6Om1HAxGAxRZhtctorSkBNDKkOXbmd8eO3YMZ/NLcN/dtzKcKAqoLC2HpCIziqKInJw8XHHFZWBNjTw0PAddrd97FMMDwaAAp91dTyceeYG87vfqyzhwPA8OHMzx6qrYxqDT8dBqtNAa9JBlGRZzHK7tfQ26dO0MrTbazBofp8Fjjz2IgM8Ha2L0jqnVcbjvoTsghAXo9Kx59rbbbkHL5i3RpQvr2Xlpp3b4aPgg9OzJcm06tMboL0fhis6sD3yHjs0xfsJXUEhmkjg1b56E77//BgopiDdrkJhoAUAIh5t+0sfGy1IgeviRV6h5Sms6c7ow8sf/4cDpsZPmRHK0zFz4u35fXeOkHlf2JgC0csmGP9SXw61Q96tuoY7tL6eSIvXIqv8LGDt2KlktyXT4QNPnPYpRJRIFHDikJraAJaFWZVW7MIRCIqqrXaoB0wAQDIrweNRzpdjtHhQVVtTlq6wPp8OL7Kx81a2+usqJEyey4HKxwRaiBBQU1Gp8fqdlRBAl+P1+6DQ6WK3q54jGEAqEEQyGodFooNNHy8ySJOPo0dM4cfQ0wkHW+auy0oZNm3YgK4vV0FRW2bDq5404o1JYOhgMYcnSVVi9ZjPjAAgA+/Yew4/TFsNuixahZJnw65q9mDxhEcqL2fw5W7cfwudfTEV+Plv9MRDwQq/XwxjHZlS+0IiNa3FtZoNA2AOZoh/ygf1peK3/QKQdZiN6QiER48bPxIQJMyA2iHjy+0QM/+hrfDBoBLzu6I9CkhR89+0MvPDCW6goZ4PG167Zjlf6D8axoyreiV4JaYfTAEAlaFod/oAEf8APg14Pc5x6iGJjUKDUHfLC4egzjiDKWLV8M1Ys2gCnk9WL5+eXY8qU2di7l/UWLS2twoIFS1WzIfh8fqxfvwlH046DiP2w83ILcPZsLnOm4TjAH/SioroYckPfaQBC0A9HTTFEleioRKsFPr8fHi+70FxwNPneQhE11qOP96ekpFTKPJ0XxTnsLjqadlo156QsK3T8eCZlZZ1lOEkiSj+RTSdOZKiqyU5nFNL+/cdVA5xtNT7KzCwif4ANtpZlog+GjCYA9OP4Bb/r/sqqnNTzutuo11V/o9KC8t/V5hycPpl633QHXdKuM5WXOBje7xUp3IihVlGI3O6Qalo9UohczqBq0DgRUdAvNq6yvACYOPFHAsfTr2t3NVmf5xCTg6woEQRJAQceohC9siQlW5GUrO4pyfMcevZk/UGAiFFHrZT9OXTv1gGAuodmSmo8UlLVVWc8D3Tt0RUAB1H6fSt9y+aJmDNvHkycBq07sEUPfhPEQ6MzwJKUBJMlAbIS8ZTUayPhgSbz+VemAAgGJWh4DkaDBhwHJCScV6sqChAKSjDGacDzHKyJ562fghhxqTbF6aDV8jCa6hWCC4nwevywWi3QG6IPwYFgGKVl5Yg3mdC6VYsoiY+IUF4eSVveqlXzKP8bRSGUl1fB7/fjsss6QZYkgAiSzIpTFxoxCyKJM8TDHG+Bxx3GpIlzsWr1elXhYf68VRg5cgJsNjZ3/IGD2fj8i6lIO8rKqaXFNgz9cDTmzl3NcG5PEAMHj8J3439Ew6ODzxfE+ImzMWHCTHg8kT6rbRF5NbHF79Mp8wB6dmuHK7q2Vo3P/S2IggIhKKJZi1bQxWuwbusx3H3fMxg7bgZzVjmTV4ZnnnsNIz8fB38gevIEgiKGfTwBffq+gmKVPECLV6zHa28OxvHjZxgu7fBpDHjrIxxRETF37j6GBx98EqO/+r7OIe8cigor0b/fQHzyyRgEGkS+eX0hTJoyB+8N+gQ11R4YjHrwGh3ijE0v08dkpddpOcTFxcPt8aC4qByFRTbwek1tsHH0JPH7JZzNKa/1xYkOjHa6/Th0+CSu7nkNgGiDlqwoCAYkxMfHMe6oHm8IFVUutGjRllFmarUaJCamIOQPgK+NRLFV2wAQgkGxLthCkiO7y7n2BCAUjqzGHF/LAzD8hufsuVJYogSU1/hgitOhsqIGlWUF0GvbIeCX0LF9W9x9+93o1vky5hydmpSAp/s8gQ7tWsNgiH6VHK9Br2t7oWfPzmjRIpHp+6YbrkK7VknodBkbR9Ct+2UY9MEb6NyVNRL26tkN48Z/i0s6dIyofOuhTZvm+OSTwTAnxMNiiT6EWyxxGPje6/D7/GjR0gJZlqHIIjweNjrsQiM2kVMA+j43BCsWT8XGDXtw6+3XRPKnNLIoigJBp2dJRYlYAXV6TaNtVfsnQJAU6LX8v1TIKAA+GPoFxn/zCdq1uRxXXdkLhvh4CGERyUmJIHDQxZng93ngcXugMxig0+khhEXodDrodYAii+B1OpCiRSjoR4LFDKMxDna7Ex6vF7Iio6w8kl0sHPSgpOA0rrvuRmzctA3JyXGQRUDzX8x+18RBUqr4dsxEDPnwPaxYtgGPP3lPk/Yds0JrghBEgtWMlq0SowIjAiERBcVOtGmVgERLRAY9N+Ej1bu9iIvTIzXFCJ4HDLUyp0IEh9ODQEBEqxaJUYXVFIVQUFQNu82Bzp07wJpggqFe1E+NzY/KKjdaNE9E82bR2hZJAUrLIhUB/QEHcvJOQm80oKq6Grbqc6o4Ddq0aw+9QY94Yxx0Oj2ys08hGIxokeJMZnS5oiuSklLh8biwMzcHbk/EYaxTpy5ITU6BxSCieYsWyCnwgEDgCDDU3gOniUxUb0DA0mUbIfskPPLYHWjZOlodeja/Gps278S111yJG26IPvtUVXvx67otuPLK7uh9XfTZx25zYdaMn9Cle2fcf//tUbK4KBN+XrUD9mon+vS5F8nJ0c9n/faDWLZ0NQa88SJ69Yy+7poNe7Bx2048/fhj+PtN0dFwQX8QHDSwmKN376ZAbPLeKEA4HICiyGiYIH7X7oMY9vFofPLxUDz+ULQV1ubwon//gbjhpusx4uPXUN9AabP58Pa7H8Juq8a078fjinphhX5/EMM/+hz79+zD9B+m4d4Hboy67uo1mzDmu4n4aPgwvND3nqhVUBAJpngr+vZ9FSOGD0PzFq0QDIfg9/uxfesuzFuwAN06d8F7g95CSmoK9Ho9oCg4dToD340bC6MhHu+8MwC9r7sSej0PIQwcPXoC48ZNRnJKCoYP/wBJSUmQJBlmswk5JUX4esxX6NK+EwznZKNaw3FYVnDg6HFkpZ3E1ddezUz66go79u87gnYqKbY9Hh/2H0hHQmIzXHdt56gdLhwUUV5SjZatWkMhBRqcf7DBECHzVD70nEY1l2U4JMLhsEdCDhvAajGBJAE6HWsRjjOZQVBU81xecDS5voiIRInooUf7UcsWbSk7qyiKq7F5aP+hLKq2sx6BYUGiQ2l5lF9QxRhwQyGJ0o7l0OmsfCaXpSwrlJFdSHv3pasW9nW6fHQ6s4g8XpXqGkRU5fJRQKUiuKxEPD/9KvkxiYgCwTCFVCqbExEFg4K6apGIQoJEolpxYiJy+cNUUekhQSX3pCwTBQJio2rJUFgmlcuS8hv5KBWKlNBpYJXUqAAAIABJREFUzFtSIaJwI/dBFHlGapg5fTEBoGWL/z/xsvxP4xR5PlKIQBQFuFzRhovUFAtSU1ifDwDQ6zS4/lr1PJcGgwbXXqOeE5HnOXTr3HhAeaI1Hon1soDVvz8eQPN6nKKgThzjuYjnZ107RAxhWk3krBBXPx+lIEMWCHqjBhotB6NRV++aBF9AglargcnIw1BvZQwERThsPlgT4mCxGmE16WE16evGec6CqtNpwfNAXJy2biz+oABRVmCNN4DnOBjq1XatcYSg1RASE+LAcRER6hw8PgFOlw/WhHgkJhhQP4w1FJRQWlyD5FQLklPM4ADoa0VFSZJRWmqDhufRtl0qOI6rO2spRCgps8HvCaPLFW2g1UZUq4L4xxzy/hv4t1SWkkyqyZZ+L0RRQUVVDTiOR3WVE6O/mIM1a7ax/UjArPm/4P+1997hUVXrF/A650yfSa+EhI4UaYIFsILdi7399FquvVyvyrWBoiIgoqKANAHpvUgTEOlVegklBNJ7JtN7O+e83x8Tkkz2xNuEfN9H1vP4qHlnnzZ79nn3W9YaNuJ7FBZHyu/IBOzYdQZjxs7B6dNs2v3MmWIM+2Q89uxn5SXdngC+GD0d30+Yw9h8/hA+/2IyPh0xCT4vW7IwbebPePalT5Cdw9Jhz164FoMGP4AVP0feCwH47JOJGDDgDmzdwir/rV63Bffe9yTWrWcbZ5at2Iz+AwbjhwlzIUuRD91o8uDtf47B+ImzmXGBgITXX/8Igwc/hLyCSB5QAjBn3lJMmzYPwSCbSV3286+4+ba7sWAhy615cN85PDDkScyYtoRtVMmvwOtvfYDPR02Ewxn57Kw2D4a+/wXeePMjGGuCcHnCXVhB8d9rzPkz8V+t9Mr/UQZRlGR4/X4oFUoYtEo47dUI+lmmM2+AcC7nPKoqC8BzkQF1ngMcbje0eiV0OjbWK3IczHZ71DeSLAvgeQnpqaz0i1qlQHqrJEAS6wQfGqJL987IL84HEbtCpSUlon2nTmjVmpXYuWHgtXAGzGgXhWokKysTjz76CPr1Y6lPrrmmF158+SXcfd9ghnczPk6DB4YMQUwUzk21UsBzTz2Kskoz0hv1EXAAnvvrAxB4Dmo1u+7de+ct0OtGo2c3NtnXrUc7fD1+LK7u0ZF5th07ZGDSlK+g4gXEGCJDlrGxOoz64hMoBUJquhpuX5h7n4uyT7jkuOwOFRF5/RLdcvvj1Co9k/LPlzX5OUmOXnwZEsNlB0ZrrV0mcjiIbA4ip4vI460fHwwSeTzh//b7iBw2mTye8DGCASKHQ6qTfQyGiGwOicwWkfw+In90hckW/AmY/MMsAkAzpv97lat/JpoleuPxuGEyFiE5OQEJiZFZTrfLB7PZhuTUZBj0kauF1e7H5KkzkZtzGj6PH9VmK9q37QCvywq73YmgHIJSEKBSKREbo4dao4HVEua9zMhojYryMjjsdhjiYsFxHOSQCI/HheSUJMTGxsAfCMFkssLn80Ov1SMhIQkaHY9r+tyAF154CumtEiOuJxAI4vDR01ApVbi239UQBL6BTcaho2cghkTcfGOfCN54vz+AzRv3IRSScf8Dt0Kji7zPwwfPwu8WMfCWnlA08MMD/hD27zqFgNeLmwZfi5hGxE5nzxbAZLKgV68uSGxUylFWasHWrYdw/YCu6NG9Q4TN6wli7fLNUCh5PPj43VA32G8E/CGsXr4Bfo8XT/3tMWh09WUOJAMH9p7B2ZwcPP5/9yE+ITL8WFZag1/W/4bbb78ZXbpFKoNfZCtWRKH8u9RoHt4bIhBxUCoUYQGD+j9jyg/zsHLVaoz+agTuu+fWiGG5F6rw7ddj4XEZkZiYBZVWg8ryCrjsRhhiY6HRaqES1AgGAgiGQlCpVLBarZBkCUmJxYiJNUCSgijKKUd8YhLcDjtcDiOQy4MX1FAoeeh0cRAEJew2F46fPAqv14wd2/egd+9+uO8vkaFOi8WB94Z+gl49uqPX1HHQNmD18vokjB8/FYCEa/tNg1JZb3O7fJg3eykEBY877+4fMelFEZgzZxVSEmMw8OZIEiZRkrB1xw6cOXkaV/ftwkz606dycC7nHNq3z2Imvclkxq5d2xCfoGYmPQE4diYbITGI+x+9M8Lm94dw+MQxSDLwcFCCpkGYnggoLa9CZWUl5Cj13C6XGyWlFVGbxqXaz/ONKdQuA5olI+v1BXHn3Y/DVpOPvXv3ICkl7M/LMuHwoWw4nA4MGNAXsY181TPnqnDbrQMRH6PGihXrkJqRDDEoQxZF8AoOhpgYqBUqcODgDwQgSiK8Hi9kIsTFxkCj1YLjOThdLqi1GjjtDjjsdvAcB61OB1ESER+fABAHkmVMnTwVY8eNwFtvfohJk79mKO5kCcjPL0NiYmyYUrARLFYfeB5IaDQ5SQa8bhlKFQeVht102GxB6HQ8U1oQfkaA3ydDq/vX2eT/FJIcZqq4HJg7bxFefOFZTJ44B2+988LlOWktmqf2RqlCUnIqrNX5Efw1PM+h/4A+TY5LTdYjJTkZYtCFzMwkpKaxm9+LMNTdGjsZDfpwLUpSnAZoy4orXESfXv0AKJCWVp81luXwZFcow3U2V3XJqvu8JBEC/iC0ujB1X1IjoQSPR4RaLUCh4KCPrZ9dshwWX9No1BAUQEJC/covS4DX64dKrYBKFQ5L6vT1Y93uAEAyDDHsZt7p9ELgFdAbWF5JnzcEcOGG8ou4OOGDfhHmGgsSkxKgaeRi2q1OWMxmaHVatMpID4vI1YIoXEkpSzIyszIif5QElJSUQRQltO/QDkLtA40mNHep0SxVlkThLzo2NgkuJ7Bi+Q78vi+XUZkGgFXLt2LclzNQVWWBVquCTqsCSApncy8xdIZ4cFDC7qiv8Fyzejf+8fexMFazzQ/bt+7DU0++guPHWK6bTZt/x3PPvIuTx1l1wz17DuOxR1/E+jVs2PaXTbvxyMPPYfkitlq0xujAG699iA/eG4VQMPLhiSJh3NjpmPjdPASiiEDPmrEMIz/9lmngBoB9Ow7hkfuexfZfWfmd9au24vY77sYnH3+OUKMYe1WVFa+++gGGDxsLXyM50GBAxNdf/oCnnngFxfnVdeRQjcm+LgeahwJEkuB2u+Fw2iFKQQgcB4FvwsviBEiiDFmSABA4QUAgEEIoCld6+Nj4j2iqpdrJIkQpaPP4nCD4YaypFw7IzExBl64doIrSbJ2SkoTBg25GSgr7BspIT8ZfhtyCjp3YEoG27Vrj2eefQI9ebIgwKysNd917F7r3ZvsI9AYdHnnsPmg0aigaNa0LAocHHroTWrUeyiibxZtvvRbVxixGRA0AOnbvgPc+fQd9+vdkbIPvvRmicjS6dO3EKJEnp8Tj08+GIS5GB60+8pwqtQJD3/s7SksqkZmVCo06vDmQucvuXTdPyNLlDlL/gfdQ26wOVFFe/W+Ps1pd1KfvQGqd3oZK8qOHOn+atZTeeetjKsirqPubLMu0edNeGvb+aMrNqe+6cjl99OoL79HrL71PNquTOdbcBSsIAD3z7N//g7trwb+Dn3/+lQAFTZw487Kfu1ncG0kUEfC7EBNjgEYdSaAUDIZgs7uiRgNMVjeMxhqAA6Qm+lXLyo2YNGUsxn31bd3fyssd+OyzzzFu/KdYMH9p3d9zzxVj9vzp2Hdgd9QIgyEmvJEuLSyEsYLlcQwFZWQfzUPO6WJIjbKlblcAx4+cw/Ej55hMaigoYf/eY9iyeTcCgUg3wOcRsXf7EZw4ksNkPIkIp47lYN3KTbCaWfcq73w5fpy2EId/Z+kJL5wrwILZS3DhfDSOIDumz5iDtet+Y56DLBM2rNuMRfOWI+BnE3J7dv+Oid9NRUkxy0u07/BJjBj1DfILShlbeJMkIxj4/0gZwv8KDgSelOAFbR0T2EXs2HUcX46dhCojK6FptXjhcrmg1WigUkUvML+m3zUAeJzKPgmXI1zXc+joaZw8HS5HyDuXh5AvvB/IOX8WkuxFr97dkZDIshaEajuDDhzagw0b2BIBq82Br8ZNwfTpi+FxR27IjCYnPv9iEr4YNRkuZ6QrZrM58fEnX2PGzEWMm+Z0erB0+UasXrsNfn8jPz0kYePmXVi6bD1sNvZHeP5CEX76aSmKohCmerwBrF2/CydOsPI7JpMTmzbvRmFhGfvjJ+BcbhH27T0BVxTy2+PHc7BwyWpYrQ7GVm2yIq+wDA4HO06UCIAMlerfY437U3HZ3y1EZDI5qFu3/tT/2sHksEcqY9vsHqqorKFAFNXvggILderUi7p06kbGSlPUY5/NraJWba6itlldqLyWN+aTTydTly4DqUfPG6lLx75UXmIkIqLX3viYANC4ceOjHmvV+m0ETkl33vUImcysgrckyVRWaaXqGgejxB0SiU6fq6HCohrGJooynTtfTRVVLF+nJBPZHF6yObxRKxs93iC53dGrOoNBkcxmZ5Pq3h5PiAJRmr9lmcjtDUWtwAzfJ5HfJ0e9HrcnQEaTq0naoqYoMOfMXxPm+pw4q4mRlw7NstJrtBrExcaCFzgIDXVlCIiP0yGjVQpUSnbzZTAIUCqV4Dm+yd7TTh3SMeCGm2AyV6Ki3Ai/n7B9+y7cP+RhfPjBKAA8yivKIcvAhbxwb2379tG5M5VQACQiJTUZyUlsfyzPc8hslYC0lFgmhi8IQI+uKWjfLgU8H45YXSTzEgQOXa9KQ0Y6+3bhOSA+VltX/QiEI10X3SedVgm9PooQFQClUkBSUkxdwk+Uw1TjF6HTKaCq3fCGpHBlp1yrB6vXKiDw4QCa1eZHUYkJ/tq3EM8Dag0Hjguv0Cazt+7NptepkJpsqKuK93pE2Cz1K3vDciGH04fqWobji8/L543OYXQp0SyTXikooFbrYHeYcPLEBfwwYTE2/nIEfn9k9abXE8Scn5Zh5MgxqK62QqEQoFRq4fP7EWgivqtSAqlJGfD63KiuseDgwVMoyD+J2+8aiNsHXwelWo2c3HDYMN6gQ2ZmO9w4cEDUY3ncNgCEQG2TsygSfpy2GG+89gEOHYnkeScC5s9fi9dfG44zOWVMa8S69Tvw9FPPY8f2w8x5ftmwA08+/gJ2bT/K2DZu2ov77nsc30/8iWkMLy+34t33RmH2/FX111H7b6vLj9ff/Rh/feZVmMxsH+rX4ybjoYcex8nsSAVzSQS++2467rrnXixavIoZt2XXCQy5/3FMnDCTuZ5ASMInI77E8OGfsWriLi+GfjQcz//tFRSVWKFWaerGXG40S8jS7/fD5bJDkkVUm804mZOLtKy24U7qBrMlJHM4V2jE0SPZePgRM9p1aAdBqYQk0x8SL7Vp1xYAYceureB4Hlq9Gld16YCkFAM6dumCPfv3Y8BNNyMv/zx6974+qpYtAEBRu6Jy4W+X4wBOrYQ9IMPuC0JG5KohqA1wBeS6myAZdQqIhrg0tOvYA4nJUeSAOCXik9sgMYVlOE5IbYVe192IHn37MBnYuHgtrr3+eiSlpDDXolAIuLrbNfA5fVBG8Zuvvf4GpKRnonVmm7onySGccBt8xy3o2Lk9evZmGaK7dmqHt995G927tmGuR6Xg8dAjD0KtYPuh1Fo1nv7rs+AJyMxIwLFaki+/X/xTdKT+I1x2h4qILBYn9egxgHr17EsWq5MCf6CQ4/ATWexh/768xkndetxAgwfdRw5HdI52IqJDR85RXHwatevYmbpd3YNuuHEQ2VxhP3jm7J+pR5+b6J33PiatNp5GjPi2yeMsXL6BANDLL74T8fcgEfko3FX1Z+F/OZa3ia6ngBS2NWEmonCV6h/ZLxXmzl5JAOjjP3j+lwp/untDiJpYjYBWo0FsTBIUSiVUSgENCgnh9vhQVmWCp5ZzMkYNJMaFX0g+XwBujwf62FgwQrEN0K1bJ1w/8DYUF+aj2mzCwJtuRWytH9y7b1/4AhJmz5oOUfRjQP/rmjyO3xuu+Xa7IhXMFQAkAL6AiPwLxagor2JCrD5fENt3HsWRY2wG1u0JYuvOk9jz++k6+u2Lj0AUCceO5uL4yUL4Q42iN5KMgwdz8OuGg3B76t07Te3g4rIa/H7oHErKwjw9Kh5QCeFjF5dY8PX4udi26xgaBmg4ADarFzN/WoMFi35hVEMcDj8WL96IZUs2wm7zMPdy/Hg+Fi/YjKIClsuysLAMU6YuxLGTbMTIW9s03zhkezlwSXz6aG+qhl+fKEtQqpUAESQp8iFv3nIY9w95Br9uPcAcy2r1wu0NwWKxI1ArTRPtB6bXKdDpqi4AERJi0/DA/U/UHahtu9a4pu/1cDttaN+xG3r1blrIISUhzE52/MRhFJfUy91wALQALhRU48VX3sU7//gYDkckGZXF5sW3303FmC+/gccX+cVaLHZ89eVYTPz+B/gacfIHQjJ+/Gke1qz9BY3pIUMhCXMXLMJ3kyfC5amfgBddg507DuDb8RNx7ER9txhfe715RUWYMnUqdmzbzdynx+3CmjWrsGPbTobA1Wbz49dN27Bj586ovJM5F3IxddYsFJeWMzZjjQm/79+N0mKWwFWtCS9aAX/of+rC+69w2d8tRGS3e6j/gLupX9/rGUmY0ko7zV++k0qrzMy4wyfLqFP3gTT4jgepyuhp0iWQiWjD9hOUkJhGA/rfSxZbpH3Wgg3UsVMXGv7x6D+8zlU/byEA9NQzb5C/UexNJKJqV4D2H8qmw0dymDChRETHzlXSgRMFTHN0ICjRyVMVVFgcPexaY/WR3c02ohMRVZkcVFJhjRoi9Ackqqpxk9cf6bDIROT2S3Qmz0hVlgDz3EIyUZnJSzVmHxOWDMlENqdEbk/02GNQIjLZRBKj+EiyTE1SsM+Zs5wA0D/f/zL6By4hmqeJxOdDVXUpundoh5hGOqJZreLw3BOsAAMAtGuTgHiDGgd/34mRn32Mq7p2Q9AfRGVlKYKiHwnxCbCYzTDokmFx2CDLQZQUn8X4cSOR0SoBNrsXgVAIJSXFSIhLQPbxI3jj1b8DHBAXF4/E+ESYLSYEAkGQJGPb7m0AgITEFKgbterxANIMKqRd3yvqtfIA+nRtFfEqlSgcwhOUPHr3rJf7CYphZreL3YkpCfWck0RAKERQ1dYGpSfXhzkJ4SrMixtQtYpHekrk8wwGw4rhejWPqzulIlg7LigSxKAItUqAoOCRmVxfpUkyEAzKEBQ8FAogPqb+LkRRhsPuglqtgiFGCyUPJMfXu5qBoASSw436DTenskywWJ0AASkpcXD7wwVn0WqYLjku+8+MiCqrLdSxc0+6/84hVFVSQ7+s3UKbNu1ikjhen0gLF/9Cc+etJ6PJTcGQSG++NZLU6ngCpyC12nBxC0GAkrSGNOJ4DQGK2r9xBI4nAKRSCKTRJZOgTGgwJvwPx2lIqYwnpSIm4u88p6CE+CyaPW8jyRReuTZu2kcTJiyk8jJLxLVKItHSJRvpk+HfUUEBK6bw89pt9NSzb9HuvUeJqH4BlGSiH6Ytpyee/gft/z2bGbdj1wl6+NHXaOHiDcwqnJtXRS+/NoI+HzmV3J7Ipdbt8dHX3/xI77/7FdVUO+vOKRGRP0j0+agp9MpLw+lsdknE9RARHT16gV596RPauf0Ecz37D5ymfn1vpfffHUXBYKNzekP03gdf0quvDidLo2SeyxWgl1/8iO5/4AUy2/20ZsNW4gQFvTN0dJM0IZcKf/pK/+9QxikFAQqlFma7BcWlVVi9+jf07NMDd951C/gGo4kIm3/bBZVSg1sH9Udqsh5jxgzH008/BrO1BoVFpTh+/AS6d+uGftf0RExiMlxeH8w1NhRXVkMKBiFLMqZMHAsp6MSPs5eidXoaysrLkJdfBEEQkJaagi4d2kCt0cJmt+PAgWOoqKhEhw7tcHXX7khvlYl2ndtCovB9nc4pwtnTZ/Dww5FUdCFZRkFZDQoqquD0sml3XyjMbyk12kbxHNC6dQbi4xNBYFe91JREpLduBZ3BULdyXnzGsQY1giER/lCIkeYBeChUOmR1jIHOEC7Z4C5+NxyhTbsO6NTxKiRH6UnIykrFvUNuQ6ershhbu7bpGPLgQ+jZ42rmnBoVj67duoFCMuITIpnQ9Holnv/bE7DZ7Yg3qKDVqKAQBKg16stP9/SvfhX/7Y/wD9w5sjk81Kvf7XTrjXeQ1x0gjydIchMOusXmYVaxixCJyM9WKxARkZ/CocVyu0zX3PgApWZkUXGlJfqHGx+3iWtxOETa8Gs2vfH2aJo4fQnlFJTXhfskInKHiLwhosaZfonCvnFQZJ9J3fg/iFmKUtPPMhCQKBCIbm1qzMXvJkh/frjy350vi5evDZeAfDODpP9g3J+Bf7nS/7e/wj8a5/b6YLNVwJCWAo6niN5SSZIRDEhQaxTgeQ6JtQJiVGvz+IIIioTkeC0EAELtHUhECIREyDIHvVoBBRf2q2NUHPRqDUgKwmO3gtITmBIGnzcEn1dCXIIKgsBHtMz5/SIqS4woLyrDkqXrsPrXZbA6XCAK4Pp+12DUyNEYNOhmKFQ89Ir6aFIgIKOkpAZ+UULP7q2h4ICLC7kkE4pLa8ALAtpmJgEcV5eWJwJKi43QGbRITo4Fx9V3NMlEKC42w251okuXLOgNKqgaxHvPFVTjQl4hunfriM5t0yK+g+pqB/ILytA2KwNZbcIN7hdL9jyeAPbtPQYiwuDBN0CljuQBPXzoFKwWKwYMvBYJiZEtnDnninA+5wIG3ngD0tLjI85ZVm7G9h170adPT/TpFVnqEVZs5BAO/l5eNEsZglqlgk6rDeuiNphhRIQJE2biuedfQ3FxWcQYDsChw+dw+50P44tR3zIpcIvNiw+GfY1PPvoGTmeoLrmr4gCNQgGT0Yhvx42HLYrU+7Kl63DP3Q9i184DjO3I8Ww89NDDuP3emzFjwTgkJsZjxco1eP/9kTh65ASe+evT2LJ1b8R1cgCqq614/bWh+HLUN2hcuOh0uvH++yMw7KPPGeXzgE/Gh//8DBPGT4fYSAQiFJSwcN5SjBo5BtVRZIQ2bdmO4cOG4/AxluDq0METGDv6exw7ynLOO50eTJ3yE6b/OANef2R5h9sVwvSpczFt6lxYLJGVlARg775jWLxoFWqM7PXk5RdjwYLlyMlhOfDDUpoEhVJTF1a9bLiMb5U62Bxe6t3vRurX9zpyOutDlrIs06FD2bR58x7yelleSYvVTQsWbaK9+7PZ0Joo0cEjObRv/5mI8KHHQ3TX3c9QWmo6bd68k0Ih9oVeUlJNa9ftoqpqVu7G6fbShs2/0/2PvkjJqRk0fsI8IiI6caaE0lp1pvjENDp8JIcZFwpKdPTIBTqXW87aJImOnSqgE6fzSW50I7JEdP5sKVWWRw9nWsx2qiirIjGKD+by+KmwoorcUZ6d1xsgY42NAlG4NWWZqKLcSuXlJuZ6SCYyVtvIZGIrQomIfP4QuZzRs+OiKJHN7o7KrTl/0SoCQBN/+Pckjf5MNMukrzHbqXPXfjTkvkfYh/wnQ5aJBg16kjp36kpV1dG/uH8Hbj/R4dOlZLKFJ83kKcsI4On1v7/f5B7g/6+Q5XDp9H8KUZTr9meLl4VLi6dNW/wnX92/RjM1kXDgOQLH8XA5fThx/Czy81huSFkCjhw4hV/X74XLFVmCSgQcOXoOP/+8FRUVbMNJWZkFq1fuwr6dJ1FWmg8QV5fyrq4wY/7MJTh6KJsZ5/X48dOslVi5bFNEV49eDVzXIwsBnwszpi/HpO9HIyuzPd7++5t1PvfBA6cwa+YKGI2RVY1EwO5d2Zgwfg5ORmka37n9d0wcPxM5Z9iShdycIvzw/RLk5rCdSWVlZnzx+UQsX7aJyWranR58/Pl4jBz1HXw+Npq0eNF6vPn6cOSdZzOpOacL8cVnE7Fj6yHGVmOy4cWXPsCH742D399Iwdzhx/D3x+LLkVPg80TaZAmYNGEenvq/l1FYaq3b+2g1l7+JpFkmvU6nRUpKBirKy5FzugQ/zVyBDRvY9DgIWL3qVyxYsBw+T+SGhwjYsGEnfpg0C5UVVmaoy+nB2nXrsH3HXvh8LjidTrgcYZ/UaKzB8qVrsW8P+6V6PF6sX7sBW37bCV8j/5YATJo8Ba+/+RSqTZUY8clodOvWvs5+7Ng5LFmyClXV7PWUllZg974jsNjYMl9eoURBURmqqm2MzWLxIPdCHtwuVnMrJEmwOBwIiGz9ilqtgjbGAENcLIQojeFeUYQvRNDoWeoQrVaHbl27o0MHNmSp12vRs8fV6NOndwRrGwCotUrcccft6D/wBqg0jUKoHHDTzQPwf08/hZQkPRy1JQ3NQfbULO6N0+Wl2+9+gvr27E9V5VZye2Xy+ZuQevTK5PU00Qnklshiid5FRBROkRvNAep3/b2UlJhGJ4+fJ6Lw69nukCkYPdNPLqdIvig8lmZziPoPuIuSkzNo9pxfmPEeL5Hd1bSvE2givNocCIlEHtb1v2yY8uMCAkDTZ1x+96aZyhD8KCstQoJOC32MCnpto7071SZgOECjrUupgChMs63VqqAQOOj0PHS11ZOiBLhcXigEDgZDuOtIWSvPw3NhsWaj0VLHLx8XGz6mLAM2qxtAmDBJrVbCEFO/Soki4HH7YHc4MOPH+Th+9CCuv74/MtPTkHOmGDEGLZLT4xAbo0GYPDm8cnn9IRjNdmhUSrRKjQchLIsJhEWQTSYr1Go1kpMiu6dCIRmVFdXgBQEZrdMiwqeyDJRXWSGLQaSnJ0PTiAHN5fbDbDYjOSkRMTGRySGXy4u8C+Vo06YVklNioBBQp+Ti9wdx7lwhRFGJPn3aR6zggZCEC+fzIUsyOnfqAJ2+AZclAUeO58Nud2Jg/x4M92hRSQ1yz+aj+9Xt0bZtJJNzeIXnQMQSAFxyXPafGRFV1FipU9e+dP21AyJ2/pJEtGjJRvrs86mUe4EVHT54JJf63/QwzZqzirEiyWFvAAAfvklEQVQVFVvpsSeH0jPPv0tGYz2dhzdAdOPNDxIAuueO/yOLObLAzR8gevvdMXTLrY/T5t8OMMc9faaMnnp6KLVv3y1c1gCQQlBQclIKpSRnUGbrq+irsT8x4zb8dpC6dL+Nnn72PWbTl1dopPvuf5mGDfuOKVQzVjtp8KAn6N57niGbPfJ1Y7N76JnnhtGQB9+kwmK2IG/N2t30l7+8SDt3HWZsx45eoDtvf4Y2bfydfXaFVXTvHc/T0He+pECjYrWqaisN+cszdP+Qv1FxUVWETZSIXvv7CGrb8TrKvRBpIyJavWYb3X77o7Rs2a+MbUntRvarryYxtkuNZlnpBZ6DIGihUasa9cIS0tISodOpkBKlJ7VVegruHzIYXTqzvmZ8nAb33H0T1GoesbH1q5zAAyq1GglxiXjs0Qeh12sixqlVwH333obevbuiZ09WySQzKxl/ff4R2JwVCMkSrFY7lEoF9HEJ4ZU6MR19ekXhle/ZGR99+A907NAOjSsEWqcn4L2hryEpITaCwBYAUlIN+PTTf8LjcSMuNnLl1Os1eOvvz4PAoXUrllv/tluuReeObdG+fQZju7pHR0yZ9jUyM9myg8zMNEyZ9g1i49SMWHJaSjwmThgHhVKBNm1TI2wCD3z2yTt447Vn0LE92xF2/5BBuH3wTdDpotAK1vLTa9Qaxnap0SwErsYaKwbeOBi9unTBmvXLL+l2OhgC7n/wWVSVnMGhw4eh1f932pQebwj5RSZUVlpAsoC2bVNg0CuRmKBHjOFP1Lu8QvDdxKl4f+hbmDljEV559a+X9dzNE7LkOAiCAqGABJvZj0O/n0NRAdtoIMuE3LPFOHkslyFTIgJOnSzGscPn4Y8ik1NSZsLufSdx5HgeKivLYLaYYawON4LYrG5sXL8Dhw+yIUu/P4hdOw5g7c+/wdmgMUSvU6L31RlQIoiSwlxkphvQNiu+fsITsGvXMfw0awWM1SwHzO5dR7Bo4RoYo0R2zuXk48dp85GfX8bYjp84i5kzFuJUNtt9VFJSje/Hz8S2bWwm2eX2YdKUBZg2czH8jZroiQg//rQUX4yZBouVbQxZtnIbnn/pI+z7/RRjO3m8AM8+/Q7mz17LhEn9gRBGjpmAT0eOg7NRtCkQCGH8xBn4fMxEePwSQqIEgENCAvvGutRoHjYElRI6fSyqTOU4d7YUP0yagz17WCYAu92LCRNmYO7cZUxbmSwRtm7aj4/e+wI5Z6JpTuVh4uRZWLh4BWqqS8FxqPuS8vOL8e23k7Fx0zamnMHj9mL+/BWYP3853O7I3IDXR1jx82qsWr0UFntkOYMkEX5ZtxVz5iyFw+Flrqes0oRVqzbhfG4BY6uoNuPQwWzYoxA4lZWZsWffUVREKTvw+wM4deo8iouqGJvA8+AFASBiZCtlIhhrLNBoVRCiEH/GxekRF5MAnVbH2GLjdEhJTUVaeipjEwQOV3friF69ujMkTrwg4KpO7dG3T3do1Hztsam2Bucy47LvIojI7vDQ9QOH0A39bieLyU1mk5N80SQrJZlMJis5HCzREhGR2xWgkoIq8kcZGwiIZLE6Ka/ARFd16U9Xde5KxtqMbCAQopoaa1R5TZKJnA4P2ayuqORGNruLTBZ7VJvV6iaTyRHVJklh7kwxChGTJBGFopAwEV2UEIpOtEQUliH6b5LazZ1FnjNvKSkENa35+bfLfu5m2ciGRBFenxcxSiU0WgE6PbtpBcJkSsnJTb/+9AYV9Ib0uv8PivVhQZVKQKIqBjpdDNLS02E3+6Gs3VGqVAqkpEQeNySFQ6QKHoiJZVe4i2gooQmEM40BSYZGxSMhoaH0JsHtlaDV8FAqePA8YIip37SFRBkCz4HnwxWWfAOed6dbhFIJaNUK8BzAN2AkdjkDcNl9SGkVA6VSiGBodrtFeNx+JCZqoWzUkeTziSgrq4Yh1oCM9PiIUKgYIhirbQAHtMpIiLgWkgn5+SUIiRK6dOkQoSYOAMVF5aiqMqPPNd0jqmWBsGh1jdGCtLSUiFAnACTGxkMQVPC62bfipUazuDf+kAif34esNhlQN0pDb9qwBx/88wvk5bEuS1m5Cf94eyS2RJGlzC+sxksvfYhJkxZFcLUTCDzP4UL+eUz/cS68Htb//3HWz3jiiTexf+8xxrZvzyE8+tDzWLFsA2OrrrThheffxScfj4G/UYP3rr3HcNvgBzB6zERmXI3Zjr+/MwI/TF1Qy+lYD7dHxojPvsFX305HY+p4jyeIsV9Ow4cfjoGpms3sLln+C4b+83OcOcOStO7cfQhDHnwWK1dvivg7yUB+fjVee/0DTJ+6oI6d4SL8ARlTps3HmNHfw2xm9yo/r9qIT0eMRVUVy4ZQXlaFL0eNx9HD7N6ACAgEPfD4Lj/DWbOs9G5vAB63E23atmJWDp1Bg/jEROijrP68wCMhMRGx8fGMzaDXIjMzHUq+cW8mB7fXixiDAe07to8QLruIVimJ6NOrK9q1Y0OhrVpn4voBN6BDh/aMTR+jxaDBt6JN23SolJERnKu6dMCbb7yGbl1ZsefYGB1e/NuT0Ol1jNyNSgW88MKj4c6iRjk7jUaB5198GKGQhJR0VmHlzjtuRN++V6NrV1Youk+fnpgweQL69oq0cTzQrkMyRowejjbpCVCrI+9DoxXwwQdvIhAIICmJpSF87vnH8cSTDyAzK52xdezUFmO+GoG4eFbyMxAKAeDg8Vz+lb5ZfPr8ojLK6tCbRo786pKfy+0lum7g/TRwwCDyuP9fVAdwhWPWrMUE8PTDxLmX/dzN4t4EJCAY8KO0qBShoIzqaitcrui/+KLCcpw4diGqW1JabsKJ03lwe1kJF4vVhZxzhTh2IhcVZcXw+fzw1fLPWJ1+7Nmbg8Li+ojIRSfD6w9i2/7TOJJdADFKZOFMThm278yG0x15TiLg/IVqbN95Fi43ez1HThRgyfLfYKxhi8qyz+RhxqzlKCgyMrajJy9gxk8rUVZuYWzllVb8MHURfl63g+H/cbn9GD9pLqbNWApvo55dSSIsnL8Oo7+YgsJCtnpz05Y9GPr+SJzLZSsw8/PL8M9/foY1a7YytmBAxJdjJuC9d8fA5Yh8BrJM2L3zKNau3g2fT0ZqajIEXoXExETmOJcazTLpBUEBgeehUPBwOv2YOm0J9u8/znxOloEfJs3FqFHfobwiMmQnE7BixUYMHfoJisvYcN653DJMnrYQm3/bBZ/XAqfTDrcn7D9WVRgxZfI0HDgQ9uEbThi324OVy1Ziwy+b4Y+i1bRh01bMmbsILme9LypTeCO8dcdBfPvdJFRURk5QkYBNv+3AV+O+RWERK1Bw5mwOVq5aA6czWsiyAocOH0FFJZvHqKkxYe+evcjLY8OgMhEqa8yorLGAa8QGxwEoLqpESUk11Gq2tLfKaEJJWWkTJLk8OCijNKKHbXpdEtq1bcdWWQLIaJ2CpMRE8Bxgs9ohyX44HOze5JLjsr9biKio0kRt2vekxx5+imSZyGTykLsJcqMao5Mqyq1Ru28sVhfl5pVTIMjG32RZpkAoRAUlVsps24vatO5IZ08XERFRKCRRtdFFfn/0TohgSIramUREZHP4qcYcvVPI5xdruerZa/UHQlRZbY9qC4ZkcroDf3pzdJD+mCNTbKLK9CJVyKXEDxNnh2tvvvzhEp+JRbNsZHlZhij6YLGaIIkykpObDhGmpLKboItITDAgsYFKdUP6EY7joFIoYNCpoFJpIEtucBS2KhQ80lIbhR5rmXM5AMraehiq/TsuirdxQHxs5MooS/W0mhq1AE1K/WbP5w9B4AWoVDzUKgVapYU3n0SAPyBCEHiolDyUCg5KRX24LxAQIcsyEwIEwk3cIECnVzNMv06HB36/H3HxsVCrlWi4JQ2JMjweH3RaTR3BklD7AVGSYbM5YdBpodWp66lCAPiDMqpqrFCSjLS0JCYU6nJ5YDZbkNGqVYTSOBBWTjGbHYiL00Ori3xuSUlht6YpnYFLiebRnJJEBAJ+qJQqNGajPHHsAsaPn4XcC6wbkHOuFO99OB47o2Rvy6rsGP7Zd/j626kINoj1GQxaZGVlwe1yY/euA0wjNgD8tvV3/PO9MThzOtJN4AAsWbYJTz/1Bn5euYUZV15hxbAPx2LevLVM6LGs0oRX3/gQX4+fxowz1ljx7N/ewdffz4wQTQDCurCfjhiP4cO/hL9RFtrtCeCrr6bhk4+/g93Glg8sXbIBTz/5Bn7fzz6fXftO4KVXP8Kvv+1lbPlF1XjnnZFYv3oH24FlD+Dj4V/j9Vc/QlkJm/ndvfsgnnj8BRw5woYl8y+U4vVXhuH3vaytsTLh5UTESm93BqHXCXVJnEsFXq1BbEwsOE5gOme8Xh9EkSBEka7meA4EkWkdBACFwEGtUiEYCkCSRADhh6rV8IiJjUFQFGGIN0ARpYtIlgXE6GNgMLAVfwmJ8UjNTEdSKpsk0+lV6NSlM9LTUsA3WrFiYgy4/rob6+r9G0KrVeOmmwagTdssCHyjkK1OhTvuuhmhUAgqlaLROBUe/7+H4HV7oTewHU/3DRmMq7q0Q69erPxmj26d8d7Qt3BV50zGlpWRjPffexNtstKYt0dqsgYfD/s7pEAQbRrVxAPAoNtuRMrkieh2dQfGlpGVhhGfDUW37mzY9uJvq9k1p6pNoaj+8Z+NGquDru45gO66c8gfkhz9N4jmF98z5Dnq2aMfmS1Nc9r/kT/9vxBehf6AqOlKxvr1OwngadIEthfhUiNiOU1LVkClvPQejxgIwOvzQKtWQxYlOGx+uBxspIBkgtFoh8PB8qIDgM8rwmX3R3DDX1yofP4QCgtNOHu2AtUVFUhMSoJGE145XR4Rx08WoLTMzIyTJEJFmRVmo5OxEYCiMhP2H8yGzc5eU3FhJfbvO1anhs0hXNbAATh29ALWrd6Kygo20lRYXImt2w8wdN8AUFNtw68btuPUyVy2qtEn4tCBkygsZKsz3S4/1q7ejt827WOyrACwZ89BLFy4CiYTGz05mX0Ws+YuQ2k523BfU27F7ClLsXzeBkhiZEg3GAxhyaKl2LJlFzPO7wti5rQl+GDo1ygrsdT51WrN5XdzmsWnV6nUSElKhrmmBmX5Nfh6zI/4dSP7oKqqbXj55XcwbNjnDI89AMyfvQ7PPPkGLpxm/f+CgkqM/Gwcvhz1NYoLTkOt1kLgw19SjdGOYR+NxrwGmrIXUVNjxvvvfop5P66C3GiuSDLw00/L8Ppr7+PCheJImyRj0cKVePWlt3C6URkwAfh59VZ8+ulYHD50gjnnnj1H8PGw0VGrJbOzczFj1kKcPnOeIeN3udxYs34zzuREET3wB7Bw6QasX78ToWDk3oCIsHHDTqxduxWeKLUv2afzsGrlr0yYGAgzvhUUVMFm84LjIqePGCJs234YBw6wJduSJKPGaIfT5QMRh0DAD+CiEvxlxmV/txBRRZWdeva4iW4bcA+5bT6qKDORMwphUDAo0p49J+nUqQtRj1NSaKYjB3PJ7WS7uCVRpuoqM506mUft2/SgmwbeXve5UIiosKiKjDU2ZlwwGKKc08VUVcYSPxERVVXZ6OTxIvJ52Xif2eygY8fyokpemi0eKikxktvN3qfL5aPiomoKhdiMcSAYJkxqqpLS6w82WTFps3mbzEK7XQHyeqLbAkGJnM6mQ6hiKMzSHA0+n0xeX9OkOBfvY+Xy9aQUtLR4wc9NfvZSoVlClsRJcPtsaJ2eCl2cBvr46C1jSqWAm2/u3eRx2rRPQpv20UXSeIFDWnoSkpKT0KFjVygVEi6SSSoUQPt2bK1I+JwKdOvB1q5cRHp6PNLT2dofAEhKio1anwIASYk6JCVGD80aDJqom2gAUCl5qOKiV6ECgFbddNdWfDy72b0IvSHSrQh6JSiUAnhl7TmVTbsdwh/MGo2mAWknwmqFRICi9jIvbpQTE5OhVKlgd7BFbJcazVOG4HHDZjEjPTmZiRZYrQ5s33aEIUwCgAvnK7Fo3iaUl7AVfSaTB9OnrsS6lVsgNeKATEtNR0WlEUeOsK4FABw5kId5szahvCxKV9OZAnw5aiJ2bI1W2VmCL774Bvt2s9WZLnsQ34yZieVLf2VsVosT34ybgVk/LoYoRr7eJRGYOH4GPh8xDl5PpFsiBiUsmb0an7//JexRFLp/Xbsb/3jtY5w6EYVQatshvP7KRzhy6CxjK7xQjOeeeg6LF65g9g2yJGP65Ll46+WhyIvSALNh7S5M/Ho+3E52j1NdbcWwj8Zh1aptjA0cB0kC9HoDa/sPIEnEqpz/CzTLpOd5DgpBiMpu5fWGsHfPAVRXsXUo1VVmHDhwGHY7m64XRUJ+QTFOn82JmPQKBaCPj0NQIiYmfhFWpxVmhwkczyZK3B4f8vMrYLOy9TSBEGCyeuH1sTZBRdAnGpASpcNIo1Wj01Ud0L5j26hkRyFOBV1cEoRGZZbEASpDPNp27hFVJjMuKQk9e/WNWvHYqnVr9O59LVq1Yhu4tXoDBt01BL2u6cPYOJ7DtTdci/43D0ZSCnsvXbt3wm2DB0AT5bs0GHS4d8i96Hsdq+vl8XsQCPrARQlN/ycgGcwP9V8PagaYTDbq0rkXPf/XNy7L+V5/81O6654nGS2mFjQftu/cT7xCRytXXSGdUwpBiYT4VohLTIEk/rGP2FCAuCHkWq+AUdYk1KnyEQCPKwDZ7QMfDIB8EqAUEJFnbwgJCAZFkCxDrVYBCoBCBCICr+JBoXAhlyxJkGQRGrUGRIAkS/B6veA4DhqNBoJCAY4P+6/htw7B43LVJsY4qFRK8DwPXiEgGPDD5XaDAwelQglBpUQwGIBSqYRarQEHIBgMgud5hCQRCkEJhUIBMRQCQPAHApBkGQpBgCAI4WvXaOEP+BEKhaAQFGE9K4USarUaRAS324VgIABBUIDjeGjUGvB8uBAQHOCw2xHwB6CP0UOpVCLgD39WlGUEgoFwh5lCAZIIoUAIPC9AUPKQpBCIKPzsAAiCAKVaBa/XB7/PDzkkw2Lxgudl7Nj8G0gKoLKoGjkn88FxQGy8ASq1EtraMGYoJMJpd6KitAqGOC2SUxPD+w6Oh8/nh8fjhRgClBollIIArUYDXYwedosDHocPIUmGRqsABx5X9axPkEVQgMyauRQetxtKhQoajRpqrQJqtRoupweiFAI4DgZDHGx2PzLSExDw+eBxe+Hx+NCxUwdUVleAg4yEhDi4PT5otTEwllQiKTEeQYjgVUp06dwJpYXlGDNmNGSB8MgjTyGzdSZUKh5KBdCjR3eoVSpUVFThfG4hDh06hKSURBh0BiTEJUCv18Drd+H0mbPwBWTEx8dDoxKQGBMHgz4WglKJ/Pxi+H1BEERYjRZcyD0D8D489uizECHD4bZAq9UiVqdDnCEBqSmt4HK5cTb3HIqL8+D2eJAYm4irr+4GHgST2QIZgKfWjQkEfZBEEa0z0qFQCLDY7CgqKYXP70HHTp2hEAS0zsyCSqVGTXUF/D4fTmYfh16lgVqtRperOoATeIiyCJPJhAsFRVAqVdBrtVDr1bA4rUiKT4RCqQEHAR63F7FxsSCSkRgfB6VKieoqI7xeP2xOK0KihKzWWVAoBWg1WijVauTm5cPjtkKrjkd6cjpSkpKhVqkhigGcyzmLoBiARq2HVmNAWmoyOApBlGXodLEoLCxASVUhWiW3QlpaCmwWO2J0CahxOGF2WsFxEpQKARwXhBgSoRQ04CHAG3RCJhmZaRlIjItDkMKq6lXVRjicLhCF9yUyifB6XXC67YjVJYLj1VArVcjKaIPExDgkxGsR8AVQaaxElckIk9kMjVqF1JQkqNThCe50u2G22KFUaWsXExkpSUlISUpFQXEBHA43OI6HQaNHSA6gylwZfdL36zMYRaXnkZiQDIHnUFxSCJIJPXr0gVKphtPlQmxcHIzGCng9TnDgEBMTj5SUFHTo1BEVlSUoKSqAuaYGbp8PyaltMfDa/hDAw+ZyIatdWzgcduScyUZxST5SW6XglpvuhRxSQKUQUFNTBr/PDou1Bu3adEV6q0xk55yEQgGUVZajorwCsfEJ8HrtaJXRGlpdLDxuF2JjYlBalAciHkpDDPRqPbIyO0PgZcgioSDvLByuKgRDQGp6e8TGaxGXkIrWrVJRkp+H8rJSOO0uxMbFIyZBh5BI0OsToJAVKMg7hQA5kZySiQ4de8HnlaFRKxHweZBz7hBEyQOloMNtt9wLbzCApJRM5Jw9hvLSIpDkhywD191wK5QaPRQqJbxuK/IunILZVAEAuPa625GYlAFeo0B52XmcOXGo7jXWp3d/cIIGOm0sEhISsHfPVjic4S8vNSUTXa7qBUmWkZSUAsgyftm0DICEjMzOGHjz3agoLUKr9PaQJT82/7Yafp8VSYkZuO2WIYiLS0BSchIqKoqxbPkcyOSHUhmD559/E5lt26LKaIbFYsTObRtgMZVA4Ay49Zb70L5TN8gS4PfYsWvfWlRVhdmmu3TpjUG3PgCFQoGkxCSczT2DVat+BADoDHF47PE3kBCfhIzWSSivLMfsmd/D67Yjs+3VGDLkr0hJjodeq0bu+WwsXjQToZAfhph4vPLqUKh0cVAqeBiryrFg7jQEAm4oVTH420uvo1fP7qgx+3Dq1BFs37wGbrcdMTEJeOLxF9CrV1eolSrsP3AICxY2qIFq6OtUlJto375sys4uoXfeHkkAqFu3fvTrpn1UkGekooIaKiq00t9eepcAkFqtp9k/raDq6hoymcxktzto9uyVpFZrSReTQMM++ZrMFheZTQ4qKrJQRaWb7rr7CQIXQ7cNup927DxAbrePHHYvOe1+Gj1qGmlUCZSS1oY2btpLLpeXamocZLW76Mc5K0ijjyNO0NLwz8bR+cIqKq+yUV5hDe3fe5au6tyHANCLr39AZ3LLyeHyk9sdoPxCE90w4G4CQF263kC/bTlO5VVWMts8ZLH66ZWXPyQAlJXZnXbuPE5l5TV0Pq+GKqrcNH58uPw1Na0Nbdi0n2wOD1XXOMlqD9KKFXspIaE1cZxAH70/lmwWD7ndAfJ6RVq3Zh8lJWYQAPrggzFksbnJ4xUpKBJt232Sstp2Iw4Cvf7qh2QyOSkQpFpbNmVmdSIA9OQTL5LV6iKL1UMOR4CsVj8NHvwAAaBrrhlIhw6eIa8nSG53gDw+oi9GTyOAo6x2HWnXnoNEROR2h8jvIxo39idSKnWk1yfQwoWrI0o/ftm0hzSaGOJ5NU34fi4FG4Tuj2dXUOcu1xLA0dC3vyBXg3xIWambBvS/hwBQr1796fyFkgi/+Zvv5xIAysjsQitWbY2I+c+auZS0Wj1ltb2a9uw/GzFu8eJfSa2OJZVaT1Macddv+PUQxSekkEKhorFjp0XYfl63lWITkkivT6RZM9ZF2Fas+iXi/6NuZFes3E7t2vempKQM2rHjYITtVHYx9ex1IwGgYR+NjniA1TU2GnT7IwSARnz2DQUa0FrIMtHiJdspOaUH9et7Nx09GqnecejoOerW41bKatub1m/cG2HLySmivtcPIgD0j39+HPHFuFx+evTB1wgADRh4J5VX1ieVQiLRZ19MJpU6lnr1HkD7fm9wTpnoh+8XkF6XRGlpHWjjhj0R51y5fAu1adORANCoUZF8i0eP59K1tdfz8gtDI5I8NquTHhjyHAGgvz33j4hEVWWNg+685wkCQK+/9hE5HfWJKpvNRffe+wwBoBtvvpOKiuu5ISVRok8+Hk8KhY4yWnegg0fORVzP6jW7yRDTipJT2tC6DVsjbPt2nqTEuNaUlNSKFi5cG2GrrLTRwBv/QjyvpMeffINCDfJtHk+QXnn5EwIEevLxV8nRiFdz7JczCFBRjx4D6MSJ/Ajb7v3ZlJbRg9q07Ubbdx6NsBXkV1DvHjeRQoinyVOWRthKSozUr98dxHF6+ujDceRvoJpitbnp0SfeoLi41vTZp99SsEH+z+P20ZAhT1FMbDJ9//3siMSZx+uju+4eEnEeZtL7/SF6660vaPCgR2jNms2NzbRr5zF69JFX6dNPvyKnwxNhu1BQTv94ZyQNH/4VmUz2CJvXF6KFi7bQ6FHT6ehhVq5m89YD9H9//QetXruDsR04kE2PPvEGvTdsLJmtkWoiZouTXn31U3rssTfp7JmiCJvbG6AJP8yh5557l44eOx9hkySiMaOm0qBBD9HcOZErAxHRwvnrqV/fW+m1V4aRzRaZRT2RfY4ee/xleu3lYVTdSLHQbLbTx8O/pZGfTyKTKfL51Fg9NPbb6TTmq6nM83G5ffT56B/o2b+9QyeycyNsoijR2jVb6e23P6UNm3Yz13oyO5/GjJ5Cv21hyVmLCytp0sSfaMuWfYzNavHQmnW/0bpftlO1MTI7LYoyHThwhmbOWkqlJawU0InjuTR92gI62ugHSERUXGKlpUs30d79Jxmb1xOiPTuP0aaN+8jjjoym+XwB2r79AK1ds41crkhOomBIopPZ+XTgwGlGTVEUZTp8KJv2/36cgo0KJiVZphMnIt8mUbksPZ4ABEGoK9BqjEBAhlrdRHz13xGSbQL+gASNOnpZs0xhzdWoNhkIiWEy1v8EkhT+R9XEOIfDD61WXafW3RChYLixhIke/Y/4o/tswZ+DZiFwbUELmhPNkpFtQQuaEy2TvgVXHFomfQuuOLRM+hZccWiZ9C244tAy6VtwxaFl0rfgikPLpG/BFYeWSd+CKw4tk74FVxxaJn0Lrji0TPoWXHFomfQtuOLQMulbcMWhZdK34IpDy6RvwRWHlknfgisOLZO+BVccWiZ9C644tEz6FlxxaJn0Lbji0DLpW3DF4f8BhPNaZFP60TMAAAAASUVORK5CYII=)
physics-General
physics-
Two hollow hemispheres of metal are fitted together to form a sphere of radius R. Air from the shall is pumped out and pressure remained left inside is
th the outside atmospheric pressure P0. The force required to separate the hemisphers is
Two hollow hemispheres of metal are fitted together to form a sphere of radius R. Air from the shall is pumped out and pressure remained left inside is
th the outside atmospheric pressure P0. The force required to separate the hemisphers is
physics-General
maths-
maths-General
physics
A particle is thrown in upward direction with Velocity V0 It passes through a point p of height h at time t1 and t2 so t1+t1
A particle is thrown in upward direction with Velocity V0 It passes through a point p of height h at time t1 and t2 so t1+t1
physicsGeneral
Maths-
The function ![f colon R not stretchy rightwards arrow R text defined by end text f left parenthesis x right parenthesis equals x minus left square bracket x right square bracket comma straight for all x element of R text is end text](data:image/png;base64,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)
The function ![f colon R not stretchy rightwards arrow R text defined by end text f left parenthesis x right parenthesis equals x minus left square bracket x right square bracket comma straight for all x element of R text is end text](data:image/png;base64,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)
Maths-General
physics-
A sphere of radius ‘R’ floats in a liquid of density ‘s’ such that its diameter x-x is below distance ‘h’ from free surface as shown. The density of sphere is r. The sphere is depressed slightly and released. The frequency of small oscillation is
![](data:image/png;base64,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)
A sphere of radius ‘R’ floats in a liquid of density ‘s’ such that its diameter x-x is below distance ‘h’ from free surface as shown. The density of sphere is r. The sphere is depressed slightly and released. The frequency of small oscillation is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPIAAACQCAYAAAAyVDb1AAAIX0lEQVR4nO3dwWocRx7H8Z+XfQ0bRpFgD8ob2CxYxjGYFYkxBl+NjBZ2wxKS2Cy6WgcZQwhZWHtH+AFM0EE5SSsZDHqDDGRh0AzoRSYHaVaj0XR3dXd1d9W/vh/wwVJpunumfl3V1dU1NyaTyUQAovaHrncAQH0EGTCAIAMGEGTAAIIMGECQAQMIMmAAQQYMIMiAAQQZMIAgAwb8sesdQD0rS7ecyw5HZw3uCbp0g4cmwlcmrFUR8rgR5EC1Ed4shDo+BDkgLuH1FTLXEwWhjgNB7lhRoNoMUkj7gnIIckeyQhNKWPJCHco+4hJBbtmigIQejBj3OTUEuSUWwmDhGKwiyA2zWPktHlPsCHKD5iu8tcpOoMNBkBtgPcDzUjveEBFkz2YrdWoVOuVj7xoPTXiUekWePeYuZ6aliBbZk9RDPIuudvsIck1U2myc3NpDkGugohbjPWoH18gVUUHdcN3cDoJcASEuhzA3jyCXRIirIczNIsgVEeLyCHNzCHIJ08pHiKsjzM0gyI6odP5wIvSPIDvgurg5nCD9IMgFCHEz6GL7RZAdEWL/CLM/BDkHlat5nCD9IMgZ6FK3jxNndQS5ACFuHu9xfQR5AVqG7vDeV0OQc9BStIf3uh6CPIcWoTvTMPMZlEeQM9BCdIswl0OQZ1B5uscJtJrCLzpPsXIPR2cLbz8temhi/mdlyiwqlzVJImufmvy7rvZrUfkU1DmJ0SIDBhDkOXTtECMW37tg5VljKzPSrHwebaFFRpC4FVVO7mDX/GDFot9PtV3O9/aKyqI7Lq1z2c/cVxmf5RjsMm7cf6iVpVtaWX+ncdc7gyAR5Asht8a95//Sy9Wu96J9IX8moUl+sCuOQZWxdtf/rB1t6XB/U72cklYGu6bi+Hy6R4scmeMX593sr/ppdLIJsBuCrIgqy2Copdfn3ezBL4dJXS8zep2PIMdkdeWyWz0YJhVk5Lt2+6mrYXXft5TqlkF4uroNVfe1fGdqkaRbZLprsOJai+x6Jmi7nM/txTZraNz/u3YGkrStty+G2htI0gf91P+b7j7PG8NGKiK9/XSkl0vPtDf97+qWDvc/09vpzx6/1/D1vcJXsdjFtnb7aSr70stPXYjeJFqjyfH3NyfLvZuTF0fTH/130j8aOb/Ccu/87y2ZHpPF48pWvy7ELuJr5J7uvn6vR5L2nn+nj+Mj7R59po01uprpoS5EHGRJuqe//vNzSR+0+Y9TLVW4XrTU/Uxb/boQsytBXlm69f9/eXyXyStXVKb3/Bs9kqTBtjYdtwmbLuvCvkaJ3WSPdLBr1pF213/QzuDX0gMbhDpO2b2oI60sPXMox33k4Hzsn2pt/+LpoJ9/0G5iZ2Jc+tg/vfL/pOpC16Nt1Y0mx//5dnI8HZgcvZ182bs5Wf7L24nrWKXFkd1kR61r1oXYFS6HG6aLx/oGkn5Z0eH+psb/3tZAkgbbur+uwsf9rLF6/7gYdUEycY1cnaUJIZaOZZG6S+FYF/01MuyHGMUIcuQYeYeU8xij1aF7SxU/levi6XHGupqmz33KQoscqVRCDDdJBznWABBizEt61FqKbzQ0xRAzmFcs6RY5NimGGG4IsuIYAEs9xCkecxkEOQIphziGk2wIkg9y6MGgIsNF8kGeiiEwoZ90mpLqcZcR6UMTaUi5Sy1dPf6u1kd3Kdfm9rIUfj+y606E9ObNvlass7xSDzHKoUWeEco95ash/qTd9VsX61rPWH2ilz++0Yb15/MuhLg+ehfby8I1cmCut8Q9bex/Ol8BZXVLh6MzDY/f65E+aGftO33sbE+bxSSQcnJb5FDPSmW+TcK1TAjdbOfudO+evviTtDf4TaOxdDeRVhnZaJEvdP01MqWuicdHOvifpMffmOxah3BSjQ3XyAFwrriDbd1f2pb0uR71P2lofAF2utXuaJFndNEqz28rt/KubunweEur+lV7B6fZ5SJGa1wNQc7QRoUqFeKp3qa+fizp52d6edzMfoWA1rgcgjynrQpUKcQXrn7Pkecd69D8BJDQvvXE5/am5XwhyDna6ublh3hmudfBtu6vv9NY97TTfyLpgzbXHppbiJ3WuDznwa4m1kJyKdf2jLE2lJu11dPG/pk25n+89kbD0Rvfu9YZro3rYdS6gO/ZXky9vG7Re9LlnIKQXstV8kv95PE9u4gQL8b7Uh/XyA58dPvoOi5GiP0gyDl8TeGsM0JtGSH2h661gzoVjhBnK/PexPAobJAL1Ld9721azuf2XMo1iRBnozX2i651Sa7hJ8TZCLF/3H5yNBydXfkOojL3o6msl7JCbOFR2Db2KQvXyCUVtSaEOB8LBjSDrnVJZSoglfUqQtwcglzB7OOO8xP9sRjvTbPoWteQVzlpdc5xqdEOBrtqmB0Am/85yrfCRV3vJh+SCenhnSroWtc0/4EQ4nN0pdtVuUUO9WxWZjZOE48+MqBz/b0j1M2ja+3J/HpfoSx236as6+GYl1V2KdfFY4vzGOxqQIozl1I85pAQ5IakMlqbynGGjiA3zGpFZ7S+XScnJ7pz546y4kqQW2Il0AS4Gw8ePNDBwQFBDkHMIYh53y1YXl7W6elpZpAZtW7Rom+yCHmQKOu2UUi3CaflUp8g0shyuCF+0D6351KuygcTQvebe75hevXqlZ4+fZr5e7rWAXAJT1Oh7nLbKOfk5ES3b99e+DuCHKCqraLL89F1XgvhIsiBa7OrS3jjRZAj4yvYhNYWggwYwGOMgAEEGTCAIAMGEGTAAIIMGECQAQMIMmAAQQYMIMiAAQQZMIAgAwYQZMAAggwYQJABAwgyYABBBgwgyIABBBkwgCADBhBkwACCDBhAkAEDCDJgwO/KNLC8RkidkwAAAABJRU5ErkJggg==)
physics-General
Physics-
A conical flask of mass 10 kg and base area as 103 cm2 is floating in liquid of relative density 1.2, as shown in the figure. The force that liquid exerts on curved surface of conical flask will be (Given g = 10 m/s2)
![](data:image/png;base64,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)
A conical flask of mass 10 kg and base area as 103 cm2 is floating in liquid of relative density 1.2, as shown in the figure. The force that liquid exerts on curved surface of conical flask will be (Given g = 10 m/s2)
![](data:image/png;base64,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)
Physics-General
Physics-
A vertical jet of water coming out of a nozzle with velocity 20 m/s supports a plate of mass M stationary at a height h = 15m, as shown in the figure. If the rate of water flow is 1 litre per second, the mass of the plate is (Assume the collision to be inelastic).
![](data:image/png;base64,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)
A vertical jet of water coming out of a nozzle with velocity 20 m/s supports a plate of mass M stationary at a height h = 15m, as shown in the figure. If the rate of water flow is 1 litre per second, the mass of the plate is (Assume the collision to be inelastic).
![](data:image/png;base64,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)
Physics-General
physics-
A thin movable plate is separated from two fixed plates
and
by two highly viscous liquids of coefficients of viscosity
and
as shown, where
Area of contact of movable plate with each fluid is same. If the distance between two fixed plates is ‘h’, then the distance ‘
’ of movable plate from upper plate such that movable plate can be moved with a finite velocity by applying the minimum possible force on movable plate is ( assume only linear velocity distribution in each liquid).
![](data:image/png;base64,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)
A thin movable plate is separated from two fixed plates
and
by two highly viscous liquids of coefficients of viscosity
and
as shown, where
Area of contact of movable plate with each fluid is same. If the distance between two fixed plates is ‘h’, then the distance ‘
’ of movable plate from upper plate such that movable plate can be moved with a finite velocity by applying the minimum possible force on movable plate is ( assume only linear velocity distribution in each liquid).
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physics-General