Maths-
General
Easy
Question
In ![straight capital delta A B C comma a squared cot invisible function application A plus b squared cot invisible function application B plus C squared cot invisible function application C equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQYAAAATCAYAAAByWaOgAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAABLVJREFUeNrtWmFEXlEYvpJkJvqR5DMjSSaJmSSZsR+TJDGTmWTsx35MZmSSzOzPZGb2J/mkHxNJkklMkknGJDNJ9GM/ZhKZJEl8O6/vuet0dm73nHvf73a18/Cq79xz7z3nOc/7nnPecz3PweEEOdiRsGVhNY4Sx40bXAcfRcIeC1t1VDhu3OA6qDh0FDhu3OA6yLgpbMnR4LiRMY9Z1QZ9Bk54LOyHsC1hs8KqNPWqhb0WtibsAPVfCiu/wIPbl8A7DizGtApbrepzDtomeuGCqe7SwE2SfvIX3cL2hPVY3HMP+/bigOs16IAM6sSYUvZM2EdhrZKIr8Bxxhj7WOjB3WXkjgPE/zfDurUYg0I64a5Be030wgVT3aWBmyT95BRIQJ3CNgzrl+OeT7hPByr/oJR1KWX9wkYTiLRJDG6Okbu47/D5nzAMmHPCygo8BjmD9obphYMXG92lhZuk/CRQQDNYPYRhBPVohfE+oM4QOiRjXNgdyVm3Ys6aFDlfCNvGDEwzztUIg9uCLcYhlmcPlOvtwtbxDvrboRlY2eJyx+EAxP8A+PmFvi1qgiNxUxfyrCT4CdMLFy82uksDNxx+EgmrUuevGyw/mzH7EirRaB0mEXTIeRuFZZV99TDDPpva8Q6zcJH0TpvBpbbtSG2tVWapJvSxHr/r8bs5gjhNueNwgEk8v1/i541mFZELEWdS/ITphYuXYcvnnjc3Uf0kZ2CBaBM2pZQtaqKaD4paX7G30QUWGZtSA/Y1kX/di/dNQTfEpM4wbZaDS/1/csZ7phD11VlgxlKcNtxxOADxf00pK0MuyQZJ8ROmFy5e4uouaW4422uML8IalLJWL/isfwhJEBmvvPz3AeoSfx//lwi7LWwFEdW/HvfYcFETeZc0W4kw7IVsM/bQBxklGgcLE6cpdxxRn/g90JSXRggMSfATphdOXjiPqwvNDXd7jXBLWtaqWMHgyKgLCBh0BDirlNESakEpu+/lj1qCyLGFehQni4tzeR50/cjiOTbcccyMTQicuq3MQgr5CdMLFy8cukuSmzjtjbyVWEZOQYd2BAcZn894gXr01o09ogxKysiZVXLiSzEGZUeTBFqN+JxCz4g23HE4APGvO8J6KmwwhfyY6IVrKxFXd0lzw9neUJATzRvsxVrx/yNhb8+oO6Hs7Skh2KvUyXqnTzyymqW1DX5iaexjUJMvMcGowT5RzblQsmlaMwvoPiay5Y7DAXT8kyApsVyVMn5M9cIVGOLqLmluONtrtD9vCqnT450cb5GgLp9R96Ei/mkpeVQh7K6XP0qUoyflAujDjufeyZdbpVitZJWtzAQGXz5xoI9fRkAoPYuywXMRuKAPnuiYqQvPyiiz1w0vn0n2E3kN+N2iPGdNI+Qo3HE4wDSSeT6HGZT1powfG71wBQYb3aWBG872suw/fJv0/s2sqshAiD52pfsP4dgZzX2UbR3H0orq/kaUbdPMqmpgIAygfYMga9uz/2iIQMdOlIg9xiB1aLZWG4js3wPecQvvl0UahTsObKMPm1KfOmM8r1D82OqFC6a6SwM33O29cDBZclc4mhwc/h80ItoWOyocHBzk5Xalo8HBoXD4AzNgCxP8L4puAAABgnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj4mI3gzOTQ7PC9taT48bWk+QTwvbWk+PG1pPkI8L21pPjxtaT5DPC9taT48bW8+LDwvbW8+PG1zdXA+PG1pPmE8L21pPjxtbj4yPC9tbj48L21zdXA+PG1pPmNvdDwvbWk+PG1vPiYjeDIwNjE7PC9tbz48bWk+QTwvbWk+PG1vPis8L21vPjxtc3VwPjxtaT5iPC9taT48bW4+MjwvbW4+PC9tc3VwPjxtaT5jb3Q8L21pPjxtbz4mI3gyMDYxOzwvbW8+PG1pPkI8L21pPjxtbz4rPC9tbz48bXN1cD48bWk+QzwvbWk+PG1uPjI8L21uPjwvbXN1cD48bWk+Y290PC9taT48bW8+JiN4MjA2MTs8L21vPjxtaT5DPC9taT48bW8+PTwvbW8+PC9tYXRoPuGiyaIAAAAASUVORK5CYII=)
Hint:
In this question we will use the area formula and then use some trigonometric formulas to equate and then use the same area formula at the end to get the required answer.
The correct answer is: ![4 straight capital delta](data:image/png;base64,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)
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In ![straight triangle A B C comma cot invisible function application A over 2 plus cot invisible function application B over 2 plus cot invisible function application C over 2 equals](data:image/png;base64,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)
In ![straight triangle A B C comma cot invisible function application A over 2 plus cot invisible function application B over 2 plus cot invisible function application C over 2 equals](data:image/png;base64,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)
Maths-General
Maths-
Maths-General
Maths-
Maths-General
Maths-
In
, cot ![A plus cot invisible function application B plus cot invisible function application C equals](data:image/png;base64,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)
In
, cot ![A plus cot invisible function application B plus cot invisible function application C equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIUAAAANCAYAAACHOa2JAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAk9JREFUeNrtmEFEREEYx58nK0l0SLISSZKkS5Ik0SHJypIkSaJDh3SIdOqQLumQdElWOiSSJN3SIR0SyUqS6NAxsZJkJbb/6J/GmH373tp57Ut/ftabee/N+2a/75tvxrKcNWX9DSXBB3gA9+AAVATYnmqwCOLgjXbNg1LTAw+Ad1CQ5xOUyNBfw8mTJSZwI4C2CE2DQ9AObLZVMoCN2iQ87gocgT6Pz6Z8nshM44nv31Laopq2INgyA9Z/y2PXwCAYAasGnaINnDC9ixQ4rPT3ghtmLPEb0Ywlo9McJ1PWJugOmC21XPp+JXO3Mj0JlfNDTDhFE3hiJNs0Wo7eFo7dwOsGXrd6HG9HGkOMGfNQK+WTLUtZ1ngpFzhKeOEF16hvXYI6A06xCyYz9Pdqom3f43h3kvGvLjNEPtpyw/rId82xkJG1ACYMeOILKHF4r+gPKW0htrudSJuO8P1sFzhjJAfJFpvLku+qY1ZQ1cEtXK6jK5Vl/7uH94i0fay0DXE7FyRbdA7ky/Jx6vCQl62p24l88iFTDLKGkDXsoYLPJ1tExivyM0uMg2WH/m3Qk+OJXHexDkc028s9TbTZad6xAkaVthidJWi2xDRLuzFV8Eyi2OGesQxOk81EVnPrFuVEhJWobmaFXs/rRl63Ke+JO/zJe1JhWQb6eX8ogLZU8XBr1vo5uSxkwRpjvZQz7WgqY1VhVvG5ltjKnVtfR9BxTTSJ77plBF2nOUjrBI9p/sCEtAQmmfHChoLLtC0Wdx+bXHbEPc/MQj3Wv/5lUp9ClewH/Jc94AAAALV0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+QTwvbWk+PG1vPis8L21vPjxtaT5jb3Q8L21pPjxtbz4mI3gyMDYxOzwvbW8+PG1pPkI8L21pPjxtbz4rPC9tbz48bWk+Y290PC9taT48bW8+JiN4MjA2MTs8L21vPjxtaT5DPC9taT48bW8+PTwvbW8+PC9tYXRoPqDHeCkAAAAASUVORK5CYII=)
Maths-General
Maths-
Maths-General
Maths-
Maths-General
Maths-
Maths-General
General
Elastic potential and gravitational potential energies are equal all the time.
Elastic potential and gravitational potential energies are equal all the time.
GeneralGeneral
Maths-
In
cot ![A plus cot invisible function application B plus cot invisible function application C equals](data:image/png;base64,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)
In
cot ![A plus cot invisible function application B plus cot invisible function application C equals](data:image/png;base64,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)
Maths-General
Maths-
Maths-General
maths-
Where
and ![n greater than m](data:image/png;base64,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)
Where
and ![n greater than m](data:image/png;base64,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)
maths-General
physics-
A ray of light is incident on an equilateral glass prism placed on a horizontal table For minimum deviation which of the following is true?
![](data:image/png;base64,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)
A ray of light is incident on an equilateral glass prism placed on a horizontal table For minimum deviation which of the following is true?
![](data:image/png;base64,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)
physics-General
physics-
Two identical thin isosceles prisms of refracting angle ‘A’ and refractive index m are placed with their bases touching each other Two parallel rays of light are incident on this system as shown The distance of the point where the rays converge from the prism is
![](data:image/png;base64,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)
Two identical thin isosceles prisms of refracting angle ‘A’ and refractive index m are placed with their bases touching each other Two parallel rays of light are incident on this system as shown The distance of the point where the rays converge from the prism is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAW8AAAETCAYAAAD53IeuAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAFu7SURBVHhe7Z0FXN3n9Yc76+y/rWu3ddJ1Vu/WrmtXi7sRd3d3d3cXICHu7oEIcSMKIYQEQvDr7m7f//u+XLIISROC5MJ5tvdDE373ciGX55573vOe8woIgiCIkIPkTRAEEYKQvAmCIEIQkjdBEEQIQvImCIIIQUjeBEEQIQjJmyAIIgQheRMEQYQgJG+CIIgQhORNEAQRgpC8CYIgQhCSN0EQRAhC8iYIgghBSN4EQfyPgB9wu+C12eAwWWAzWdkfPcFPEi8TJG+CIO4TcDphzZUg+9pNXDl+CRdOXEVWhhQ+ny94BfGyQPImCOI+VrMViddTsH3HKcxZth/zlkfj3MVbcFutgJ8JPBAIXkmUNiRvgiDuk621YfmZdHRcfRl1F5xCu2WnsftYAhwsGofNAhaCB68kShuSN0EQDB5R+3FdbkPXI1K8teIufr34Fv67PBEr916GOT4BUMoRcLvzLidKHZI3QRDM3Syi9rpwPsuEegcVeGVFLl5ZloX3VtzB0rWx0B06BKTeRsBuD96AKG1I3gRR3uF5bJcD0GtwLikXYXuy8cMVOUzemXh/SQIWzdoAZWQE/JcvIGA2BW9ElDYkb4Io7/A8tl4LJCfi9JE4hG28jVeXZzF5Z+D9uXGYN3gOJGNGwnPkIPx6XfBGRGlD8iaI8o7Hg0B2JnyH9uJY5GbUj4jDqxEZefKecRazO4xEVqd2cG5dD69SThUnLwkkb4Io5wRcLviSbsARvgCHRk5DndnH8Gp4ukibvDflJGY27o30BrVhi1gEd0Ya/C5n8JZEaULyJohyjt9mg/vCGZhHDMDe1t1Ra/xu/GjZvTx5Tz6OGXW7IK3yN7DMmAhn/DX4DHqKvl8CSN4EUZ7x+eBVq+E4uBf6dk2xs3oYag7biB8tTcMr4UF51++Ku9/+F8aRA2E7dhienCwE3HRkvrQheRNEeYVFz36rFa7UFFjWREFTvyp2fFMDNQetxatL7uKViCy8N+00ZjXvh7Qq30LftytMG9fCmZggonWidCF5E0R5xe+DRy6H7cwpGGZPg7p2BeysUg81h264L+/3Z1/A3B4TkdGkAXTd2kE3bxZsp0/AZzQE74QoLUjeBFFO4aclXSl3YNy6EbqRg6FpVAN7mndErbE78aN8eS+8igXjI5Ddpyd0XdtCNXoYzHt3wqtWBu+FKC1I3gRRTuGpD3vcBWgXzIamdxfoOzbDgQFjUHt6DH7I5R2ehQ/CE7EkfC+k0yZD16M95L26wrAmCu6szOC9EKUFyZsgyik+gwGWmINQDh8EVfsWMA3tg5j5K1F78Xl8b0kaXlmaifej7iB8VxxUa1aJnLe0bXNo58+G89ZNBHiXQdEThSgNSN5EseL3+0UvaK/XK/6beEkIBODJyYZx41rIurSHsk1TWOdNx8WDp9Br5218tCkH726Sov6eHGy/lAX9kcMwDB8ASbMwqMePhu3sKfjMxqDAidKA5E0UGwEmCLfbDYvFApPJBBt7m+7xUIlZqRPww282w37lEjTzZkHSsgkUndvCtn0TJOm5iE7RIvKmEctumrE1xYQ7GgfsNxOhnzoekuYNoRjUF6btW0TqhB/wIUoHkjdRbHB5u9gvt16vR2ZmJpKSknDzZhIyMjKh0WqFzHlETpQwvMokOwumXduhHD0UklZNoBzcD/YzJ+FxumBxeaF3+KB3+mBy+cGbwHokudAvWwhph1aQ9eoK7aL5cFy5jAAf0kCUCiRvotjg8vb5vCLyvn79OtasWYv58xdg+fIVOHDwIOLj4yGTSmFlAqCUSskRYO9+HAnXhYDl/XpA1qUdNDOnwpl0I3jF4/i0Gpg2b4BiQC/IenaGctwoWKIPwcdemInSgeRNFDN50feZM2cwfMQINGnaDC1atsbQYcOxYkUUThw/geTkZMhkMhgMBhGN81QLFz9RPPjtdlhjj0A5cihkXdtDMaQfDGtXwp395AoSnmaxHomGevI4Fnl3gax3NxjXrYFXLg9eQZQ0JG+i2OFR9cWLFzFoyBBUqlwFn3z6Gb7+pgKaNm2OwYOHYN68+diyZQtOnz6N1LupQuIk7+KA/UzZv4VXqxVRtKxzW0g7toZ6xiRYjsSw6FobvC6PAPufh9+E/bff4YDj6mXowhdD3reHSLVo582COyOdv8XKuwFRopC8iRLhzp07mDV7NhqENcQ/3nkPr7/xG/z69Tfw17/9HV999TVatmqFCRMnYvv27Ui8eRNaJhIesfNKFUqpFBH852i3wXPvHnQL5kLSuB5kXdpCvzISjps37k/J4cI2u31Q2ryQ23yw+NhN3R540u/BtGMrlEP6I6d+DahGD807Ku90IMB7ghMlCsmbKBHUajWLrreiR89e+Pif/8KPf/JTvPLKK/j+D36IX732ayb0d1G1WnV07dYd02fMwIYNGxAbG4vExBsipcJFThQBahW8Z89AP2oYJA1qQTmgNywH98KrlIkmVRqnHyekTqy8bcbiRCPWpVhw0+CFzx+A36CD7fQpqCeOQU7dapD36iLSL16lAgEWmRMlC8m7lMgvo7PabDCbzaKUriyvlJRUbFi/Eb379MW/P/sP/u8Xv8QPfvgj/PRnP8cvfvkrvPGb3+KtP7+N997/AP/5/AvUqVMXPXv1xtx587Bv/34kJd2CQqEUlStGo0n8zPiy8I8WC63vWHzT2KhQQHMpDtKoSGR27YCsZg2hmjxenLKEI6/RVJLOjSEXdPh8pwwfb5WicYwKezLtEAWeHrc4nKNbPB+5zcIgbd8ShnWr4UxKhN9IbWJLGpJ3KcHTAVlZWTh1+jT27tuHrVu3YfPmLWLxCLWsrG3btokVGbEcw4YNR1jDRnjvvfeFvF/98U/ws5//n1g//79fiMX/nkfib731Nj7/4r9o0rQpBvG8+PwFWLN2Hbawn9OuXbuxb99+HDxwEIcOHcKh6GhaT1sxh8XHAzt2YPf8edjVuyeONWqApE5toVi2GI7kW+Dlg5zLSieaHVHiZyuy8IOITHyyTYq1LPrOnxnP28EaN6yBjMlf0rqpqFKxnojNm7BD6a0SheRdSvCom2/QTZo8GR06dkS9+g1Qs1ZtsWrXrlNmVp269cTiKZHPWUT97rvv4be/e1OI+ic//dl9efMInP+Zp1P44hL/3Zu/x9//8Q4+/fdnqFCpsrifxk2boU3bdujSpSt69uyFPn37om+/frSeugagL/s59WY/sx5hDdD36y+xuFplnB/UD9Jtm+F4oE9JHJN3wxilEPcrSzPw4WYpVt3+n7y9KoVIsyhHDoGkTTMoBveDkd2H6HXio5r9koTkXUrwHG40i4Z69OiJz/7zOV779ev44Y9eFYtHpM+2fiqklx+15kuQf+5Hr/74kWtLf3Ep/5QJmj/GfGk/uPjfPyjx/NvxP//yl7/Cm7//A95lUTuPyKtUrcpkXhcNwsIQFtaQ1nesBuyFr36Vqqj98cdo9PafMaVaFZydOR2yUyfgVP2vQ+AlJu/Gh5V5A4jDM0XqZM0dS17ahOE36GE7dxq8mZW0YytI27WAbulCuFJuiy6FRMlB8i4l+DHxc+fOYdSoMahQoaKQF9/AK9T63vfxve//gP339x7/3Eu2+AYlF/Oj4s5f+fLmLz7ie2LfG8+N/4K9OL399l/wBRN33Xr10aZNW3Tv3gO9evUWETitJ6zgz6d7+47oyl7oOnz6Cbr95S0sbdIQCZs3QXfnDjwWS/BZmSfvJkzePw7K+59BebuD6Wx+otKVdAPGzesh69YR2XWqQTVhNOzx10Q5IVFykLxLCZ7zTk9PF/nbCRMnoXnzFqjMIiO+qlWr/vRVvQaq16iBipUq44MPP8Jvfvs7UXb3+z/8UfyZ/32tWrXZNTULvn0JLvEY2OOtULESPvn03/jb3//BHu9v76dNuKzzo+z8dwt8A/MPf/yTSLHwzcvq7H6aN2uO3r17Y9y48ViwYCFWrlyFTZs2iT2CTZs20ypo8T2Urduwce1arJ05C1F9emNZzWqI/PwTHO7XGzlnz8Cu0cD/QL+Z75S32wVPbjZsJ2OhGNIfWVW+hrxfT1hOHoNXq0GA8t4lBsm7lODVJrwKIz0jA1euXMWRI0fFJhxf+/cfeOri1+zeswcrolaiY8dOokLjzywq5VUcnTp3EWI7fPgIDh48VODtS3IdPHRIPA5+NH7Y8OGo36AB3n3vPSFvLur8iJv/+Ze/ek3kwz/86GMRXffp0w+zZs3G+vUbEBMTg7Nnz7Kf1RUkJiaKuvG7d9OQlpbGPt6lVdC6dw9pmZlIuXYNN9avw+XhQ3C+eSNcaFgXqXNmwHg7GV4WLT9YI/JEeec7mcmZT9Fx3UqCZsZkZNesCGmnNjBu2wRX6h0WfefVihPFD8m7FOHRN9+4dLBfIN7fg5dzffeyQqfTISs7CydOnsTgIUNE3fTbf/kr/vvlVxg+fAQunL8Ao9EIs4mX0xV0HyW3rFab+N74EfiIiAi079BByJkLm0faPNf/p7f+zN4xfMge/5eoXacuunbtKmq9t23bjkuXLiMrK1t8P3a7XfysnE6n2DPgPzs3iwTzPtJ6bLGI2u3zwp6bC822zcgdNhBZHVsjp28P6LZshFsqeSxS/k55M/zsvj1SKfQrIpDbpJ7YuNQtWwT7+bPU66QEIXmHIFxid1LusLfFm9GufftgKuJ3eP+DD9GtW3dRPscPxfBf4JeFeywKXLRoMZo2ay42HXmU/YtfviYee6XKldG+Y0eMHTcOK1asYBH7fsTFxYmoOv+kJVF4vCz6NkZFQtGjE+Td2kM7axrsZ07Bz4KAR3kWeYuGY0zSpp07IOvWAZK2zaGeMh7mfbuF1ImSgeQdgiiVSkTHRGPosGH4+ptvRKqBR7K8tK5GzVqYPXu2kB8X38tCfEKCyO3zcj+e+/7gw49F1Uijxk1EOiVq5UpR885bx/Iom0fYHo9XiIJ4AdgLuPP6VWhnTIa0VRMo+naHcfMGuNPuisnxj/JkeT/878BvazsRC9XYESJtIufNrVYvh4vdL1EykLxDDJ4ySElJwaLFi0W53O/efFPURPNNPx7N8qi2MRNiRGSkiHZLsy+IiNC8XpE2OXrsGAYMHIj6DcLQtGkz9t+DMH/BAmzfsQNnzp4V3xNPB1Efk6KDD0rwKOQw798j6rFzm9SHcvQw2C6chd9iEa1hH+VZ5c2PwzsTrkO/bJHoMijt0g7qWVPhSEwIXkEUNyTvEIKLTS6XIzb2uJAfb+rE68Lz66O5xPkx83fefU8czuCliPwIeWkJkX9dD4v8uJT5Y546bTqGDx8pqkWOHDmCjIwM8fj4CxKNSSt6/BYzHPHXRB22rHsnkZvWLpgDd3qa+HxB72keOqSzLBMfbZFidUHy5nnvrEyY9+4SMzD5aUvFiMGwnj0Fv5e9KNA7pmKH5B1C8Aj28uXLWLJkKRo2aizy3Lxumos7v2KDL96xj3fvW79+vajK4IIsjfQD/5pcyvzr88iaCzwm5jDi4i6J1gA8d08UH16NBuZD+0W0zY+z85I+48Z1opHUk+DybsTk/cNIFnk/Td7s39Vn0OeNUpsxFZJWTSHr0x2mPTvY11WxqN5NAi9mSN4hAv81kEgk2LxlC3r16iXKAnmahFds5MubL147zT/+5z9fYNSo0aJMLzs7R1S2lAY+Fk3zDUcucJ6D12i0orEUz2lTpF188CoSd0429FERkHZtD1mPzlBPmwTrscPwGY3Bqx4nXuNCt1MavL0hF79ZnY1vd8ux6a71cXmz++eC5sfi9VGRkHZoLQY76Jcvgys5SUT9JO/iheQdAvAI1skEeD0+HlOnTROHXv74p7fwUybpR08r5h8t53XfjVh0zseO8RFkPDVRGnBBU0/uEob9rPlpR2fSTVEFktu0AeQDesGweoXIUz/tJGSm2YOIWyZ0OqFBw2glup/U4FC2DZ5H5R0Us5dXnezaDjmLumWd2+W9QPBGVSoW3Qfo37w4IXmHALzkT83eAvPOcD1Z1M1PUfJTiFzWPE2SL+6f539kf8frpz/55FPRkIjnl3kFB1E+4BuVXrUatlMnRKokp251qMYMhyXmIDySHGbcJ78LM3v8SNS6sDfDisgkE1Ymm3FVze7vCVG0n30t6/FjUI0eLlIzolHVpg1wZ6Yzd9OAhuKE5B0C8MMufLpM5PLlaN2mjTjk8sc//kksXibINyrzpc2PyYvPscj8Qyb5du3aicEG/Cg+1UuXD/wmE1x3kplE10PSriVywmpBM3eW6D/is1qems7gsbLd64fc6kGyzoVEjQsymxf+J92Gvavi49G082dD3rc7pB3bQDNnhuj7TUflixeSdwjABxCcP38eS5YuRf/+A9CsWXPU5y1ka9bCP//1CV5/4w2R9+bROG+hWqVKVTRoEIYmTZpi8ODB4nh5QkKCOI5PlHGYML0KBWwnjkEzYwpymzeEpENr6Nethisr85mE6mOidvn8sLEo3MKWy8+nWT4BJm9XagoMG9dBOWKISNEohvaH7eJ56jJYzJC8QwC+2Xfr1i1xcpJH0ZGRkQgPj8DMmbPEEF/exInnun/9xm9QsXJljB07DsuXr0BERKRoUHTq1ClxWpFXqxBlHK9XDAXmVSWKfj2R26KR6L1tjj4Ar0YdvKgI4S8WMhmsRw+LXie5jepA1qkN+3r7RTUK3I/XkhNFA8k7BOA5bz5RPTc3V6Q/UlNTwZsy8b4fvKXs3/7+jpA3P2HJ0yo8N85rqHlzogz2i8xrw3nUzdvQEmUbsVF5IwGauTPEhHd++lH0Hbl0Eb7nfOfF9yj5ekqWRXzSz4ILBz+wE7kUkmYNIGkeBuP6VexF5J74HBc8UfSQvEMAvrOfX7Xx4NJoNKKahHcV5BUmvCVsr969RZT+6PX8z6VR602UIOzfl0fX1lMnxMEZPuFdMbA3zAf2imPrz9pvm+e3nd4ADC4/tA6fSJ887anDT2q6szNh2rYZ0g6tkNOwNrTzZ8F+JS5vODF7N0AUPSTvEIZvZPIDO+9/8NF9efOTlfxYPFH+4FUmrrupMG3fAlmX9sipXQXqqRPguBEPr1b7zBLlZYEaJu07ek/ehqXlKRuWQXx6HSxHYyDv31PImx8MMh/cK6Jvyn0XDyTvEIZvZC5cuIhF3h/el3fvPn3EqUqi/CFGlJ09A+3iBZC2aQZJk/rikI5HJhVifxYsbj9uaF3YnW5FeJIJUbfMuKZ6cqlgPn67Dfa4i9BMGQdJq8ai3wn/2o6bN0QfFKLoIXmHMCRv4kG8klwWdW+FauxIMVtS3quraNMqTlR+h3zzuWv0YPp1I+ofUqDCHjlaH1VjX4b9sROWjxJwOsWhIAMTtqxHF9FHRT1lAmwXzsHH3iESRQ/JO4QheRMP4rqdDN2SBZD37i4OzKinTYSdydP/HD1krrAou9UxFV5blS06C362XYZ1KY8fj38U0agqIx2WA/ugGjU8r2RwQB9YDh8S49GIoofkHcKQvIl8+Kah7fw5qMaPEn1GFIP6wrB+NVwpd54r55zfmOpHwcZUHz+hMdWjBHw+sTnpuHIJuvlzhLylndrCyCf2ZGXQpmUxQPIOYUjeBE+HcHF7dVqY9u2GvF8PSFo3g3ryeFhPHodXrRK138/Ko/J+UlfBx/D7RTMqLmrjxrXsMTQRB4R04UtEW1rRqIooUkjeIQzJmxDSNJngTL4FXcRiUarH8926yGVwpaeJXPSz5rs5zzqMoSD4i4iPSdpyJEZ0MsxpWAfqqZNgPRoDj1z2XI+D+G5I3iEMyZuAzwePVAJLzCGoxowQG4XyPt1g2rMTPtPzNyN7EXlz+PF73uNbMWygSJ0ohw2CccMaMVmev9AQRQfJO4QheRNc3s47t1nUvRSybh0h5W1ZJ46F7cxJBFzP3wb4ReXNcd5JhnbuTPZY2opWsdp5s2C/HCfy4kTRQfIOYUje5ZxAQJyatMWdh2r0MEhaNIR8cL+8+urEGyKN8by8sLzZY+KnLfmQY+XQ/pB27wjlqGGwHjtSqBcT4smQvEMYknf5hleR8OPw5oP7xCAE3hSKD1/gf+ZTdAqTpiiKyJv3EucDGTTTJ+VN8endVdSf+wyGvAso910kkLxDGJJ3+YX3qfGZTeI4vH51FBN3XbH4pqX92pX/ifI5KQp5857hzuQkMRJN1q0DpO1biv92Z2eLdwOUPikaSN4hDMm7/MLrpj1yKWxnTrMIdzKy61SFtG0LGHduZVF3VqH7iRSFvANeD7wqJcy7d0DRtwckLRpBM20S7FcvixeVwqRziMcheYcwJO/yi2hClXIbps0boRjYBzkNaoqDOby2O+84fPDC54TLuzGT96v5h3QKIW/+xQNuF2xnT0E1aigkLRuL8WjmvbvyxqOV0jzVsgbJO4QheZdf/DYr7JcuQDN7Rl5td9vmoqrDEf/0AcPfxUWFEw2iFSLqfmVJBt7fLMGq288r7zyciQnQzpkBWee2ohJGt3QhHNevImCzBa8gXgSSdwhD8i6/eHUamA8fgmJIf0iaN4SSfTTt3Ab3vbRn7iBYEFdVLrQ5psLrq7PxsxVZ+HyHDOtTCidvd1oqDGujoBzMHiN7gVGOHgpr7BH4zTSOryggeYcwJO/yCc8Z89OTfG4k7x8iadZQ1FXzaTk81/wifURSDR5MvWZA3YMKVNwjR9tYNfZn2uAthLz54SHzgT2ip3hum6aQdmkL47bN8GnUtGlZBJC8QxiSd/nEZzTAfvE8tAvmiKhb2q4ljFs3wSPJFemUF5mYpHP6cVbqwOrbZsyNNyLilllE475CyJsPaLBdPCcqYHJbN0FOgxrivz252fC/wLsDIg+SdwhD8i6f8Ok0JiZr1ahheZuBQ/qLzUG/w/7CES2XtNnlQ7bZgxsaF+LZktp8Ypbl88Jz7660VJh2b2dRdztkVf0a6snjxLxL3kiLou8Xg+QdwpC8yyG8dwiLujVTJ0LeszNkbPGNQF55gkDR9Q7ho9CsHj9Mbj8cvkJG8uyx8tJAG3u8ihGDkVWjAuR9u4vuh67UlOfqM048Dsk7hCF5lyN4KoQfzLFYYNq1Q0zJ4ZPh1RNHwxJ9AF6FInhhUVH41MuDiPx86h1oFsxBbrMGkHZoCd2S+bCdPwsfe/4ShYfkHcKQvMsRPh8CTofol817ZPO2r7LunaCPXALnjXj4i3jUGM+b801KHoEXNvDm8NSIOzsLho3rIevTLW882tgRsBzcLzZXicJD8g5hSN7lh4DHDZ9OK7rz8f4lfKNS0a8nzLu2wyuVPtfAhe+C57ftHj90Ti9Udi8s7L8LvQfq98OjkMNyOBqqiWMgad0Uit7dROMqvsFKFB6SdwhD8i4/5EXdmTCziJXXdEuaN4ByxGDRAMpvtQavKhqc3gDkVi8SNE4xWSfb4i3UhqWA5701GtjjLkC3aJ6IvHl1jH5FhNh4JQoPyTuEIXmXH/w2GxyJCdBHRULWvSMkbZuJAcOOq5eLtGrD6Qsgw+TB8Rw7ViWbsDzZjMsqJ3yFDb3Z7fwmI1y3b8G0cS1kHVsjt0l9aOfPhjMpkfqcvAAk7xCG5F1+4BuVPMpWjRkGSasmYlqOno8641UmRUgOi7JX3Taj+0kNwqKV6HRCgwNZhTukk0/A4RD5bdvxY6JRVW79GlCPHwXbqRPw6Q0iv048PyTvEIbkXR4I5HUQVMjFiUpJ2+Yi38279FkO7BenGIuS62oXOp9Q44/rcvDaqmx8vUuOjalWsXFZWPjj54MYnLeSoJ40lkXedaEY3BfGzRvhunuXou9CQvIOYUjeZZ+AzwufVisOtmhmTkF2nWoi9WBkInfeSIDPVLR9Qu53FXyBlrCPISLrgNig1C8PFwMaeL23Zu4s2M6doXrvQkLyLnHYE5n//wV+F/IheZd9xEblvbuwHNoPxcBeyKryNRT9e8F6+gS8yhfrY1IQfIOyUYwSPwy2hP1oixSrX1TeQfhxefO+3VCOHCLq1PmQYn76kh/3J54fkncpIQ7D5QUkhYbkXfbxm82ijaphTRRknVojq/q3UI0fLTb7XqT165MoimEMT8JvtcB+9jR7BzEV8p5dIGMRuGFlpBjlRjw/JO8Sgz/5WZTkd8Pt8sDm8IN9KHwJFoPkXfYRzZ1YlM17dUvbNBNzKrULZsOdnlYsvUGKU94Bhx3OhHjow5eIWm9Jq6bQLZgLj0wavIJ4Hkje34kPAY8Zdm02lHfjcfvKWcSdOYUzp8/j7MV4xCXew81MHaRGD5iPH4CL2gmvTQuD7B6ykq4gKe4k4k4fx7HzSTh+y4gUlRdWt7/QwTfJu+zjVchh3rMTypGD86pMHjjgEijEgOHvoljl7XHDw2vVd2yFcsgASJo2gHriWLiSk/LGtvmpUdXzQPJ+GgEP/C41zNIE3D2/A8fWzEL4xMEYM7Av+vcdiP5DJmL49JWYuf40dl7KRrLaBoMnADd/ngecgEcPl/oW0uP24Ojq6YgY1xdj+vVBt3GrMWRLBnYnOaHgByDyvtpzQ/Iu4wTYcyntLgwrwsV0eEm7FmIyjZUFDyLVEGLy5nL2mYyiA6J68nhImoWJEW7WY4fhVStFSWGRbAaVE0jeT8Hv1MKUGYeUk+twYPkkzBneE/07tUQ79qRrXK826tZugDpNuqBRj2kYuGg/1pxJw+VcK5Q2D3w+FwvaDXCrE5FxYQMOLOqLSR1qokXVqvimxWSELUzG8kt25BjYtYV8vpK8yzBMYiJHzEedzZiM3OaNIOvZBSYWtbqY0H0Wc7GIrljlzd5j8uoZZ/JNcdqSD0zm/VkM61aLQzz8ME9xvCCVVUjeBcKfQG64tHeQfmINYpYMx+wRvdCjR2907tkHvXt2QtdW9dGs5reo9vXX+OzLmviq2Qh0nBODiJPZSJBaYeW1qyz69lsyoEvdg3MbhmBm52po+uVX+Hfd0ag1JwnL4uzIInkTBSBqu3OzYd67E8rhg5DbtD6Uo4aJY+Y8ehXDDEJO3nnw6faG9atFxYmsYxsx/d528ji8KhXJ+zkgeT8Gf5Kyt29+BYwZJ3Fx83ysmTgUE0eOweBJ8zF5yUqEL1+MZbNGYnK/5uhS70tU+Ogf+MdHNfBZq7noFXERe2+qIHF4ebYc8Kjh0Z1C8pEpCO9fH+2++hpf1BmF2lzelxzIJnkTBcArSRzXrkC3bBHkvbtC0qapOFLuzkgX0i6OfDenJOTtVath3r8HqtHDIe3QGvI+3UUe383z+DSg4ZkheT8Kr+HzaABzHGTxW7B//RosW7AJqzYdQ/SFm4i/m4G76SlISzqDK0dWYNO0rhhS8318/fa7+Me/O6P2oI1YcOIurhi9yGvSaWX3dx3ZlxZiw6jm6Fm5AirUG426c5MQHkfyJgqGD+m1HDogBCfnh1qYwI2b1sOrYc/NYqQk5O0z5uW9+Rg3acfWyGlcF5p5M/MqaGjT8pkheT8Kl7dDASiPQ3p9O6KjT2NLzF1cSDbC8NDYPTs8hmSkH1uKPUOro9unf8fH79TF123mYvSeBESr3GBvAhlOtm5BGh+ObRNaY0D1iqjaYDTqcXlfciLHRNUmxON4lQoYVkVB3q0j5N07imPl1uNHi7xv96NcVDjRIFohxP3Kkgy8v1mCVbeLVt68yZbzZiKMWzZA1qMzMit/KVJDzsR4cSiJNi2fDZL3o/AnjtMAqBKhT7uIG0lpuJSqR7rGC+dDzyn2B4cM+vjtSFzaFlPrf4ovP6qDr1tMx7Ad17BP5oJcXBeUd0IEtk9ohYEPyHsZRd7EI/C0Ac9384ZT2hlTIGnVGIoBvaBfGSmEx3uEFCf5kXf+8fiPiyHy5mWBPJ9vPXEMymGDkPnNZ5B16wDbydi8qpMiPjVaViF5PwZ7krrtzIwy2JU5UGr0kJrcLOoOwPvI8zfg1MKRcgjSrX0R0bEiqnzeCBVaz8LInddxUO5C3pyQPHlL4iNE5D2wRiVUCxuDevNuYtk5PdJy5dArJVDmZCIzPQP3MqXIURigtbhg9Tz+NR+E5F32CDid8Ol0sJ4+CeXQAWKjUjV2uEihiMMsvuIVW5LWjaHntfjvThn+tU2KpodV2Jthe6HGVI/h94sj8c7EBLFZmVXxv+JFilfSuPlsSxaZE98Nyfsx2JOU/4I4LPDaLLA73bAxg7r94jMPEWARujvtCFS7BmJVz1qoUbkDqndbhqmHbuKUxoW8CX0FyLvhWBZ5x2PRkTRcv3waiaf2IHb7WqxbsRrLV+/GlpirOHdHiTSdG+anNFwjeZcx2Lu+/N7Xxg1rRTTKD+bw05V889Jvs4prihOFzYcDmTYsSDBhxjUjViSbkaB2ianyRUnA7RLj0XSRS5FTtxpyG9cTJy/tF84Xe16/rEDyLgj+C8KiA76jz3sN86dtQU/dgEMH+51oSFjkvbx3GOo0HIJGw7di2ek0JFg8yOuVxuQd4PKOFPIeVP1bVKs/DLWnnsb0rWdxZNcqHIiagiVj+6J/l67o0Gkw+k1ajcX7b+BIigE5ZhaliPt5HJJ3GYM933iu2xp7BOqpE8TUGT54wbBuFdyZGeLzxQ2PsLUOH7JY1JBicCPN6IHO4S/0QbInwn6v+EEj4/YtYh4nlzc/uGM+sBee3JzgRcTTIHm/AF67Err4nUgKb4v5PRqhYfcF6LroPHbdUELiypduUN4Jy/Mi78qfo0ql1qjYJwK9Zq7H0iULsXz+BMwd1wf92zVE4ypVUCusB9pN3IaZ++7gYrYV9if85pC8yxY8WHBnZ+Y1oerSDpKWjaEaMxzmQ/tLrXmTjz33ijjovo+PV9SwFyreZZB/r3Ke21+9Aq7UlOAVxNMgeRcaF1yGNGSeXI2Y8c0xoVt7dJ62G1MOZuNCtg3W+6lJvnselPf4Vuhf8VNU+rwW/tt6PFqNWYkZ4ZuwdtNG7NwagahpPTA87N+o+00VVGg1FR1mx2LbNQXU7L4Kiv5J3mULfvDGeesm1FMmIKdedVFGpw9fHDyYU7R9u18GeBrIEX8VOvY9Stnvj7RTa2jmTGd/d43qvZ8BknehYOGIWw5rzllc270US/v3wNC+EzB58yXsuGVCmsEHz33TBuXN0yZc3pX+g4pfN8M3PSPQd1ksthy5gvPX43Hzxllc2DET6/tWRNdqX6FC/SEIG7ENEWcyke4OwM3uieRddgl4ffCqNWKjUt6vB7IqfyWqTHgawZ2WKjYyyxp+3qs8Mx3mg3uhHDYQua2aQMneaVhPHRdj34inQ/IuDAE7vLoEyK9txeHV8zFuwHSMmLwNmy9kIkHngZY3SAte+qi8B1T9GhWr9UHVsbGYfigH1zO00BgNMOklkMVtwsXZjTGpWQXUqtcH9fqvxpxjqUh0BvhRH5J3GYZXWLjYv5spmAPOYs8TngPmA4b5iUSUUCTq9gWgd/mhsPvE0jh8sD+t5OkF8Hvc8Op1ItLWzJiC3BaNIO/fUwxo8EilFH1/ByTv54I/if3s7a0C2jtHEb9nKTYvW4zxM7dj7rYbuJBhhIpFyQ/Xg+fLm1ebtMLAahVQqc5w1JwRj8XnLcg0eOHl9+u1wJZ8AKnL22FBu8qoX7cH6vSKxNToZFxx+MHfND+a+iZ5lx14Ttt25jR0SxaIGZU5YbWgj1wqNipLckyY0ubDkVw7om6bxeT4HfesSDF44C+GKhcuZ7/bJeZw8qn40rbNIevWEfoV4XDevEElg98Byfu54IlsMxy6W7gTuxn7l8zGisWrsHBPPPbcsSDb7C0gvfGgvFtjYPVKqFKfH4+/JU5Y5pqDV7No3nX3MLLWdMbSTlURVqcranVfiokHk3CRyZsPiiJ5l108WRmizlk9doRolcqnzJh37RDzK0uyWdNNrQtDLmjxxU4ZPt0uRfMjKuzLLOI673zEC0JApE9Me3eJk6R5jaomwXr8CHw0YeepkLyfB78VHiZuydU9iN0UhZWLV2PlluM4cEuNFOZoS4G/Y4/Iu0alvBOW84InLI2+vKoUn5XJOwZZaztjWedqCKvN5N11CcYfvInzTN68ZpzkXUZhEnMlJUK3eD7kPTqLVqmayeNhP3uGPeV4wqzk4Mfj6x1SiPmVryzOwDsbJYhiEXhRnrAsCD6TUzlisOhbzg8nGTetgycnK/hZoiBI3s8E16YDHksuFFf2IW7TQmxbsw5Rey5gz5Vc3NG6RU13wfHRM8rbG5T3uqC8awXlfYDJ207yLsvwDoK8UZNq3ChIWjeFom8PIS/XndvFMqfyafABxGHRCnw/gsl7aQY+KIbeJgXB8978MBL/3mU9OolRb647ycHPEgVB8n4GAkysbkMmNClncWXvOuyMisKm3bHYf12C6woXTI+eguRvB8UBH/6H55d3OMm73BDweOCRy2DetR1yJq7cFg2hnjIOtgvn4FWr8saDlSAl0VWwIFzpaTBsXJtX892+JZSjh8F+OY42LZ8Cyfup8L7JDjgNWVAmHceNQ2uxY906LN9yHLvOpiA+2wC5xQOXzw+/zwuf1wO30wmb1Q6bzQGXqBd8irx5P2+Sd7mGH1RxXr8G/bJFkHZpBykTlz4qXBwd5x32SlpepSVv3pDKciwG6umTxLsPWe+usByJhs9qCTaqKt6vH4qQvJ8GE7eLRdyK26dw9cBq7Aqfh8XhG7Fkz1UcuJKF29kqKLVaJlENtGopVNIMZGWkI+VuLtKytdBa+JOO1+cmQ8rkvZ3Je1B+V0Em7/DLDtESVkjZZ4P77mFkPyTvpZhwIAnnHQGSdxmFR92Wg/ugHj9KHMqR9+0O875deXXO/K1b3tu3EqO05M0rSxwJ1/MO7LRpxl7EWsC4cR08kpw8gZfgpm2oQPJ+CgGnCoY7h3HjwBKsXzgd48fPx8RF27Hm4EUcuXADVxMScTMpEUmJ15FwKRYXY7dj/77d2LjnHHafvIc7Up6v5E3A70B2IyjvapVQhcm77vxbiLjihOR+tYlDNLnKWd8VEUzeDZm8a3N5H7yF88z/vNrk0V8fknfo40pLFSWBfNgCb0Slnjga9vNnSi1dUFry5t8vF7VpyybIOreFpFkDaOfOhOMar3NXUZvYAiB5P4afPZEc8DmU0KUcxeVNYxE1sjV6tGuPmi2GoO2AGZg6ZyEWLV6CxYsXs4+LsGjhPMyfPhrTRvfBsNGTMHjuHszdlYyrmWb2pNPCbT6HW0enIKJ/PbT/4jP8u2IvfDv6BKbGyJGYa4KBRVkOowTqK5txbUEzTGn8Oap+1RTfNJuCvmvPYp/UjGy3DywAfyj6JnmHOExY9quXoBo3EtK2zaAY1AeGFctEV8HSorTkzeETdiyHo6Ec1Be5zcPEgAYzC4b4KcySzv2HAiTvRwgEvPCYJbCkHETC5uFY0rcm2lT6GJ99+DHefv8rfPRFNVSpVgM1a9ZAjRo1UL16DVSrVg2VvvkGFb6phpqth6LT3ENYEJuJW3I9PPpbkMWvxcHFXTCyyX9R7d138ef3G+CD1kvQY9k57DyfioTk28i8eQrx26dgw4CK6PzV3/Dpe9/go0o90GjsRsw7kYrzcguUbr8QeD4k7xAlEBAblX6TCZaYg5D37AxJizCoJ48TKRTRt7uUKE15++02sVHL67ylHVuJdyL6iCViCAWvBScehuT9CIGABx5DJowJW3Bp9UDM7d8M7epVR41KlVGxYlVUqlIdVatVRzUmbS5uIW+2KleqhWo126L1gAWYsO0qdiVrITEZ4FYnIOv8GuxbPAiTezZH23r1Ua1eV9TvvRjDlx/H1tNJuBgfjztXDuPS9tlYO6Y1BjariSb1WqJh2xHoMXUzFkUn4Uy2CTKXHzaSd+jj94tGU+70e6KDoLR1U7F4vtdx7Wqp9vUoVXkzQfOTlfpVy8UxeV55w8sn7UzoJV3vHgqQvB8l4IPProVDchVZcbtxYvc6bFy5HMvDwxEeHoHwiILX0qXLEbF8MzbuO4tjN6W4pXbA5HbAa5FAm34ZSWf24diujdi8Zi1WrNmBNbvP4ODFVFxPkyEjNxeK7NvISjiByzGbsW/jSmxYswnrtxzCrtjrOJsswz2dA0ZvQGTQ8yF5hyaiPFAqge3MSRFlSpqHicM5ph1b8qpMSjG/W5ryDnjcYjq+6cBeKMeNRE79Guzn0gnWw9F5J02JhyB5F4SPvaV1muEwqaFXK6CUyyCTsiXjH6WQFrAkEhmkMhWUGhMMNjfsHhZdBfzsF9EJj90Eq0HL7ksFlUIJuULNrjNAa7LDYnfB4XTC5bDCYTHArFNBq1Sw69h9qXTQ6C0wWtk17P54f6AHf4VI3qEJLwF03kmGYdNaFmH2gLRlY6hHD4PtRCx8Br41XXqUprz5HoBPpYT90kVo589GTu0qyG3aQGxienKyAfdTxkqVQ0jeIYzL4kDEknC8/8FHQt5/+MOfMKDfAGSnZQavIF5KXF54r16FdtokSPmYs26d4YwIB5JuMYEFryklElmA2/yIAa8ulzF5S/DJNhU23y3BzUI+b1Aih2vLFijC6kJSqwpMy5bAd/MmYKW894M8JG8+8MvPokWv3wcXiz4dXhbxlcvlhoN9/06/F66AF+7nWh64/G44fY/eF/v7Aq97YLFrHv6a/Bp+COjB+/vfkrF3BXPmz8O7738g5P0mi7y79+qJhFuJ7Gs+fj2tl2PZNSoYYvZD2rMzMutURe6QflBv3wRTShLsdkuBtympdUZmQsOYXLwaeY/JOw0fbcnG8lt6mNzOAq8v8uV2wKpl7z4P7UU2e2HLrPoNFBPHwHj4AKxZ6bC77AXfrowte3C5mTvyBjE+zn158wu4QJR2PRI16YjOisP6lMNYkXyQ/eMdEB9pvTwr6s4hLLy4BS1Hdccf//4X/OSnP8Prb/4OVVrXx+QDEVh1NwZRtw8VeFtaJb+WsxXF1rob+7Hn+EacXjgWtxpWw/Wqn2Pv0LZYvWEqVpxagxWJe7HidsH3UZyLP7aV7OuOituLz3fswk8i9+IH4dH407qj6Hj8MCKS2OeTS8AD7DFEXd+FLZtm4Gi72rhc9T+43L0FTs8fg92HorAqcR8i2XO/wNuWoRWRtA9LEvfgeO51IfOCeEjeFo8dqYZc7Mk4h3GXVqHFkYmoe2AEau0fLj7SeknWwZGoHzMaNbcMwMc9auDXb/8eP2Xy/sVvX8ff6n2OSuHdEBY7DvWiRxV8e1olvmqzfzP+sfmOIRgY3hMRgxviQpVPcLLyPzFtcB20i+yChlsHoC77Xat9KO/aEl0HR6D+oRGovHckPtw8Hm+tnYXfr1mGt9dH4IudM1F7P3vOHSxeD9RhPyO+GuwZit6LOmJF+4o4XP1f2NO8AiIGNcTApd3QcM8w1GDP/YJuX5ZW9X1DUHH3AMy8tpm96ym40uYheVs9DqSbZCLqnnxlHdocm4qwQ6NR/8Ao8ZHWS7Kix6DRkfGos20I/tWzFn79Fy7vn+OXTN7/qP8FqkX2QJMTk9Dw8LiCb0+rxFeD6LHiY6udwzEwohfCmYzOV/oXzlT6J+YODUPXqJ5ovn0Iwg7ya8c8dvuSWg0OjmXymMJkPRc19y1Dzf0RqHNgtvj7sEPF6wH+M+Lfe2P2QjFgaVes7VgVx6p/wuT9LZYNCsPgpd3RhL241D1S9p/XtdmLeLU9gzHn+lYm74KHUjyU83Z53VA59IhX38Xm1FjMuLYJ4+JWYUxclPhI6yVZl1Zj4rW1GHpsCWoNboM3//Zn/PQnP8drv/sNvmhaHb23TsWUm5sx4cqagm9Pq8TXWPZvxj9OPh2JhSyS3TGxB67W+hJXq3yGbcPbYv6G8ZhyeCHGXYjC2MvsWvbO99H7KO41Nm6l+Dj+0jpMvLQREy5txfi4bezvNrDP/e/zxbX4z4iv8WcjsWT1GMR0rIu4Gp/jeId62DGpO5ZsmYoJ51Zg9NW1Bd6+LK2RF1Zg6LkIbEs7CRsLqgviIXn7/H44vE6o7Hrc0mbgnPSmyLnE5l4TH2m9HOukJB5nFInYm3QKfSYOw9vv/AM/+cnP8Js330TDDi2w5sROnNfcxmnZjQJvT6sUloSveJzMuoqz147i2qr5SGnbCCm1KuDKkK44s3EhTsQdwPHMyzjO/9349QXdT0msHL6u4QT7vc9fBV5XxCuW/Xxis68iNvkUzm5ZioQ2DZBc42skDe6O62sW4fyFgziReQWx8rL/vD6WcxVHsq8giXnY7S+4RPIhefM9TV5t4vF5hO2NLiv0TjOtl2wZ3VaR4sqQ52D6nFl45733g9Umf0CXHt0Rd+MqbD4nzB57gbenVUqL/bsZ2NKpJFDHRkM6chCymtRFZq9OyF2xCIrrcdCaNDCwf1u9y1LwfZTYMollCK6CrynCFfx+NUY1VJl3INmyBhlN6iCjZkXIZk+B5kwsdJIM6O1G9nO0PX77MrZ0YpnE77lfmPlxHpI3EVqYDCYsWrgY7z9wSKdPn75ITUkNXkG8lDidcPNj4BGLRQ9vWbsW0E2fBOfFC0B5H7prNMJzKwnG5eHIrVtdDGI2rFkJT9pd9nOjOu8HIXmHMAa9gcn78ROWKXdSglcQLyVutxg4bDm0D8pRQ5HbLAyKAb1hObgfPqUyeFHpwGM8ty/A3nX7obD5IbX5YOYHZ0oCrw9eSS5sx49BM20SsutUh7R9K5j37YFXqQD8NFXnQUjeIQwdjw9RmKR8Gg0cN+KhXTyPybshpB1awbBuFVwpt+F38QEepYOJiTpR40J0th077llxMMuGNKPnsUEgxUHA5RZzO02bN0I5tD9yGtWFYnB/WE+dgN9sCl5F5EPyDmFI3iGKPyAGC3tZlG3auU20P81t3hCaOTNgO30CXq0meGHJw0U9L8GIlkdVaBCtQO8zGhzNtcNbAhN9/A47HFevQLdwLmTdO4pZlvxn4rh+FQH2OeJhSN4hDMk7dAnwnt5uN2znTkMxpK9of8qH7xo3r4c7417wqpLnssqJFkzc/xeVjR9FZuHf26VYl1JCwxhYdG09eRyqsSMgadsc8oG9YdiyAa7UFBaVl967kZcVkncIQ/IOfVy3boroUtq5LeS9uwQjzWvBz5Y8FxVO1DukwCvLMvHK4gy8s0mCqOSSkbdHpYJp7y7IeneDhL0TUU8ZD+uZE6J9Lm+jSzwMyTuEIXmHPp7sLBi3bIJy2EDIurSFYuhAWI4dKbWxX6XVEpb3MHfdTYVhdRQk7VpA0rIx9MuXwZl6R7TJLa2Zni8zJO8QhuQd+vh0WtjOnoZ27gwm73Zi9Jdh0zoWhSrzhFXCU9NLS94+owG282egnTdTiFvWuR0sLArnQxj8TifPMwWvJPIheYcwJO/Qh4vJde8ujBvWQN6rKyRtmkEzfzYcSYkiB4wSTheUlrw9uTkw79qWl+9u1QSKQf1gP3dapEsCJfwCFiqQvEMYknfow8XkNehhORItpqVLWjcVG5fm6P1wZ2ciwKPOEqS05O28lQR9+GIoBvZhUXcbqKdNEvMsiSdD8g5hSN5lA54esV+7AvXMqZB2ag1Z1w7QLVkAx/Ur8NlKdvBuacmbDxnWTBwrZlbKB/SEfmVEqVbdhAIk7xCG5F12cKXdhX7NShF55jYPg2JQH1gOH8pLnZQgpSFvvllpiTkIRb8ekHVqA9WEkTAf2A2PQha8gigIkncIQ/IuO3jkMibraGhmTEFO47riyLxh/Rp4lHIWmZfcNPkSlXfALzZkeTWJceM6SNu3ZO882kC7cA7sly7AbzIGLyQKguQdwpC8yw4+kwmOhOswrF0FSYtGyKpWQdR8O2/fEtF3SW3alaS8A14P/FaLKBHULZjLvu+GkPfsLETuTr+HgLvg8V9EHiTvEIbkXXbgdd1uSa6Ivnm5YGbFL6EcMQjWk7Hw5GaXWN13icrb6YRHJoXt5AmoxoyAhL3b4D1NrOxn4NPr2AXFm2cPdUjeIQzJu2zhM5thv3pZdBrMqlkJMhGFroXzRjz8JbRxGadwomGMEj+IyMQrSzPx4RYpVheTvP02G5zJSTCuXwN5n+6Qtm0O9dQJsF+6SFH3M0DyDmFI3mULXtPsupsC3ZL5kLRuIk4aamZNhfVELItE9cGrihd+PL5BtBLfj2CRt5C3pNjkzV+sbOfOiPavPN8t690FuvDFQugiH048FZJ3CEPyLlvwvLZHJoFpz05xXJ7XfCsG9oZx+xaRXigJknUujLyow1e75PiARd31DipEa9hikbdBD/OBPZD36oLcZg2gHDMMJva9ujMzglcQT4PkHcKQvMsY/MCOTgv75Tjoli4UPb55RKqLWALXnWRmu+Lv76F1+BCba8fimyaMvaTH9GsGnJM7irwlLK9t9yrkYoM2p1Ed5DSsDe38meJdhhi8QHwnJO8QhuRdxmCC9FuteUfF97OIlHfXa9oA6qkTYT97WvT/KO5eJ3yKjtzmRYLGxSTuwDG20kwe3oK86GDfp89mE1Um2vmzkVX5K+Q2rQfj+tVw3EwQlTfEd0PyDmFI3mUMJjWe9+abk3wAgWrcyLwKjGEDYdq2Ge70NDFCrTjhjnYxgeudfsisXkjYMrr9RVv44fPCw6Jr28XzopdJ1tefQcbeYfCDOrzihk/UIb4bkncIQ/Iug3BLsuXJyYZ2yYK8jbxeXVmEOgv2uAuiQqMk4K7m0TZfRSpuht/pEFG3ed9uyPv1RFaFL6Do3wuOS3F5UXdRf8EyCsk7hCF5l128eh1MO7aIwcTSLu2hGNIPZt4itQzMchQlkZcvQb8iArKu7ZFTtzrUUyaI+ZX+UupjHoqQvEMYknfZxWe1wnb2lCgVlPXoJOZc8uEEHoX8fnRe3HhY2M1TKN4irjTx6XSwHIkRuXz+ffEj8fqoSLizs0rsJGlZgOQdwpC8yy78RKUr9Q6MG9aKJlV8QDE/wOK4dVMML+bNnIoLDxO2zunDPZMHKXo3lHZfkW5YeuUymLZtEk24eFpINXooLAf3ieqTkh4+EcqQvEMYkncZhpcNajWwHj8K9cQxwU6DfWE+GiOaWPntxTNN3e4JiAnyJyQObL5rwVa2ErVu+IrKqez7cvMOipFLIevYWkzM0S1bCMe1y3lH4knezwzJO4QheZdt+JQdR2ICtIvnQdK+hcgP66IiRAMr3omvOFInuRYv1qdYMPCcFu2PqcTHozl2kUJ5YdjjDdhtsF+5BO3MKZC2bAx53x4w79sl+reIFgC0WfnMkLxDGJJ3GYeJzJ2TDeOmdZD36y5GpPHSOsuhA/DKiyfFwOu7e5zS4K8bcvG7NTmosFuOTalFc8KSp3p4asQSfQCq0cMgadYAqlFDmczjxDsJmhD/fJC8QxiSd9mHp07E5t6U8eK4PG/epI9clneEvBhOXPLeJvUOKfDKsky8siQD722WYNXtoultwrsIOpNvwbAmSlTRSFo3hnb2NLgz0vM+T1H3c0HyDmFI3mUfv8UsDuxw4Uk7tUV29QpQjx8l5jsWR947TulEoxglfhiZJQT+URF2FfRbLLCdOQXNzCmQ9e4KWfcOMKxaDp9KGbyCeB5I3iEMybvsE3C54MnOgvXYEbFhmfnN56KRk/XEMZGCCHiKti66OPt580ZUpj07RM06L3/k/cp57TpNzCkcJO8QhuRd9uF1z7yniTMpEerpk5FV9RuR++Z5cOfNRPhYZF6UFKe8eY26Lioc0s5tIGMvQJrZM2A9e7rETo2WNUjeIQzJu3wgom9JLvSrIpHbtL4oG9TMmyXKCD3Kok05FIu8fT6xGem8mwr1zCnIbdFQtLrlHQV5DrykpgSVNUjeIQzJu5wQCMCr08F8YC/k/Xogt2UjKIcPhnHz+vubfUVFkcublwe6XfCZjLDFXYBi+CDkNqwjqk0s0QdFzTrVdhcOkncIQ/IuP/DNPj4ejEfc0s5t82q+F8yGMzGB51aCV704xSFvPmSYV8fw/LasR2fkNqkP7cypot7bb6eUSWEheYcwJO/yQ8DhYFH2PSbAnVAM7gdJy8ZQjRkG28njogd4UVHk8mZR9f0BE8sWiePwfPFyR95ZkMudKBwk7xCG5F2O8LjhM+rhiL8KzYzJkLRoKIb28j7fnpycIjvgUhzy5qkR88F9UI4ZDknrZlAM6AUjf9xSSfAiojCQvEMYknc5gkkw4PXAK5fCsHoFpLwvSNcO0C6aJ6Jan7Foyu2KWt78VKU7Mx16/pi7toekXUtopk6E5dhheLXq4FVEYSB5hzAk7/IHP5jDO/Dxag3e1Ek5ehjMe3awKLZoBhRzeTdm8n41eEjn4xeUtxi8cCsJmtnTkdO4nuhNro+KyMt3U333C0HyDmFI3uUQFoHziTqaaRMh69kZsm4s+l48D667KcELXgx+PL5+tFJE3fnH41cW9ng8uwlvoOW4eEFUx2RV+zavEdWBPXCl3YXfUTydEcsLJO8QhuRdDgkERJ9vw9qVUAwbAAkvGxw1RDR34imKF+0PEq9xoftpDf66MRdvrs1BpX1ybE4rXGOqgNsj8vHWQwcg794JWZW+hGrMcNgvX4RXpaRGVC8IyTuEIXmXT7xqJayxR6DmG5fNGoiyQfPBvfBqtfC7XC9UwSG1ebH9nhXjL+sw4JwWk64acEbmhLcQ98n7sjgT4sVhHGmbZsiuUQnaebPEIGXRl4UqTV4IkncIQ/Iun/A8svNWosgd8y6DklZNxIg0flrRy54TL9Jt0OkLQGr1IkHtxCmpHaelDmSavPAXQrQ8uuY9WTRzZ7DH2Bi5zRvBsG6V+Pvi6IhY3iB5hzAk73IK8ygvszPt3iHKBUXN96RxooLDzcsGX+C4OXe00xuA3umDjElcYvHC5PIXKkh2Z2XAuHWT2FSVtGsBef+e4h2CGCRBvDAk7xCG5F1+4aWB1lMnoZowBhIWfct6d4N+1XIWkefNuHxReIqbT89xs0i8sCPQnMlJYsQZf4HhqR31zKmwXTgnTlwSLw7JO4QheZdfuKAdNxJEuoRXneQ2bQDV+FF5crS8BHL0+UT9uXrKOHGiUtG/Fwwb18GVcpuqTIoIkncIQ/Iuv/BKDdEv5NABKEcNQ3bNypB1aQ9z9AF4NZrgVaUHP7JvPXpYHOXnXQRVY0bAdjIWXqWCuggWESTvEIbkXY4J9gxx3IiHbtF8ZNeqgtzG9cSGoCs15YVSJzy/bXUHILd6kW3xiPy3nyfan5G8ARLZMG5cLxpR8Zy8dv5sEXUHnOxx+bzBK4kXgeQdwpC8yzHMsFzQHpkEpu1bmSCbIKd+TWjmTIft1Al4WIRbmF1Gjy9P2leULuzNsGFnuhVJWhd8z3FfPr0O9riL0M6bDWnnduwdQTsYNqxh7wiCx+ELs/tJPAbJO4QheZdvAj4WEZtNsJ48LnLKPPJWjhoK4+YNIvrmn39e1HYfYrJsmHXdgIFntRgdp8MJiQPeZz6kE4BXKoF5325xIIencnjqhDemovavRQvJO4QheRM8ReFIiIdm1jRI27eCrHd3kaLgm4X8c8/Lbb1bCPurXTJ8sEWCOgcU4tAOrzx5NgJwp6WKjVR5326Q9+oK9dSJsJ07LRprEUUHyTuEIXkTeV37MmDi9dQswuUT5pUjBsNy+BCLyp9/vuULdxX0++BMuAb15HGQtmshom5xgCjxRqHeCRBPhuQdwpC8CbFxqdXkNauazaPvlqKm2rhpreijLXqdPEeOmTemahCtyGtMtTQDH2yWYtUzNqbiXyvgcsJ69hSLursjt1E9qMaNhGnPTniyMp/rcRDfDck7hCF5E1ze/Li8OzcHxg1rhbglbZpCu2C2SKeIKTvsmmel0JE3E7Pf6YRXoxKy5hPu+axK3svEfuGs2MQkihaSdwhD8ia4NHnE6+N11ceOQDl0AKTtmosRaeb9e557yk5h5c1TIlzQ/FSlPnKpmHIvad1EdD/kXRALk38nng7JO4QheRP5BJhcnQnXoZk5BbJu7SHv3RW6JQtY9H1dRMTPSqHlzV4gPCz6t544Jk5V5jauC1nPTjDv2wWPUi5eZIiiheQdwpC8iQfhA4oNa1ZCMaQ/pB1aQTF8ICyxh+G3PfuA4kLLm0XWrju3Ydy8Xkz5kbRoJBpSWU/FwkcTc4oFkncIQ/ImHoS3WrUciRbRN885805+BiZTvqEZeMZTjYWVt99mg/3qZWjmzcybr9m5LbQL58Jx7QrVdxcTJO8QhuRNPAgXqOPmDZFn5gLNqV8d2vmz4LqbKgYjPMvGZaHlbTKxKPuEmO6T26guFIP6wLRlI1wpPN/97Gkb4tkheYcwRqMRixYtfkjeffr2RWpqavAKojzBNw09MiksMYfEicucOlWhGjlESNUjyX2mTcNCyZuXKyoUIr8t7dQGOXWrQT1lwv++Lo07KxZI3iGMwWAoUN4pKUUzjJYIPXxmc14r1snjkNukPuQ9u8CwYa04JMMrUr6LwsibjzRz3UmGYc0K5DYLQ27D2tBFLoPzdjJ8Bv0zRfzE80PyDgH87MnvYlGT1WqDxWKB2Wxh/21BdnY2Zs6chXfefT9P3r//I7p1646rV67C4XCIa/mys18ut9st7oco2/B2q7x7Hy/Xk3ZtD2nbFmLWpe3kcdGF8Lvg8m7M5P2jSCbvZZn4eIsUq58mb16mqFHDdva0qOnmtd2S1s1g2rU9b8gwr3ShSpNigeQdAjjZL4BMJsOtW8m4fv06Ll+6jKtXr+DIkaMYNGgQ/vq3vwt5//a3b6Jp02bYsmUrbty4gStXriAhIQFpaWlQKlXifogyDnuB5iV75r2788aPNW8kTjuadmwVHQiZSfOuewJxCifCopX4fsQznrBkX8+dmS5krRo/Oi/a79MdtlPHRZVLgAKGYoPkHQLw3HY8k/CuXbuxYkUU5s9fgHnz5mHSpMlo1KgR/vDHP+EnP/0Zfv36G/j22woYNnSY2Mjk161atZpJ/giSk2/DZDIF75Eos/BImB+Xv3QRuqWLhLwlzcKgi1wC190UBDxPH4RwWelCy6Mq/HJlNl5dnoX/7JBhfYrliY2peJ7dmZjA7n8pFIP6iZFsqolj4Yi/Cnipb3dxQvIOAXhu+9Lly4iIjMSAAQPRqHET1KpdB9Wr18DH//wXXn/jN/jZz/8Pv/zVa/j73/+BSpUqozb7fIMGYeL6TZs2i6jdZqOSrfIArzrxZGfBsn8vZJ3aIrt2FainjIft/Nm81MlTouF0kwdLbprQ9aQa7WJVGHVRh1NS5xNbwvLGWLZzZ8T9y3p0gqx3V+iXh4sKl6d9HeLFIXmHAFarVWxCrl23Dp06d8a/PvkUf/zTW2L95re/wy9++Ssh75//3y9E9P1HFon/iX3u44//iU6dOmP79h3IzZVQzrucwIXK51g6rl4WHQaz69cQ3f1M2zbnRd9PGUNm8/qRwQR+TeXERbkD19lHuc0nBhIXBN+stBzcJ0oDeaWJcsxwmA/shUciIXkXMyTvEIBvNqrVakTHxKBvv35M3p/gtV+/LoT905/9XHzMX/zPfL3OJP75519g0KDBOHr0KPR6Q/DeiHKBzwfXvXuit3duq6aQ9eoK7cI5sF04C7/16e/AfMzULp8fNo8fVrbcBTmYb0Kyr+FVyGFcvxqyru0gFQdz5sB+7TK8en3eNUSxQfIOAXjjIbfLhcSbNzFr9mzUqVMHb//lL0LWr/74Jw8JnG9c8sU3MVu2bIVly5aJzcuXZbOSR/8e3oOavSB5PB72+8+iuieFdcQL4ZEzsW7ZBHn/3pB17yim7Jj27XqmqpN8uLcL/Nfh/27sHaEz6SZ0C+aI3t2yXl3Y11sPd242/LymnORdrJC8QwiFQoFdu3Zh4MCB+O+XX+KXv/oVfvijVx+SN9+45B//++VXYkMzNjZWVKq8DCkT/iLEU0C57C116t27yMjIhEajEWWNou80UaT4DAbYzpyCZuZUyHt2FjlpfVQE3DnZwSsKD0+98H7h1tijUI8fBWnb5lAMHQDL0Rj4LGb69ywBSN4hBJfcTRZ9r169Gs2aN8frb7yBV1753n1h562f41evvYawhg2xfccOZOfkvDRRt5dF3Dns8fDql7Vr14oXovj4eJESCgQoP1rU8AHF7rS7MG5cB0X/npC0agzN9Mlw8Kk2/NTjC7yg806FrtvJMKxbDcWAXuI4vnryeNHfhMoDSwaSdwjBo2etVotz585h+PDhePe990TahEubR9//94tf4re/+x0++vhjDBk6VFSo2Nkv8MsCT5PcZRH3hg0bMHrUaPE98BOi+/btx7Xr15GZmSm+P4rEiwa+cekzGkXNtWrscHH6kff7thyJgVetKrDniNUTQLrRg3i1C9dULiTr3NA4fezfI3hBEL5Rab9wDurpkyDt0g7yPt1EaaKL+uqUGCTvEIOftOSHbpYvX46wsDC8/Ze/ikj7pz/7mdjE5JUo7Tt0xPr1G5Ceni6i3ZcFnt/mkff+/fsxbtx4NG3aFLVq1UbLVq0xeMhQLFq8WHwuKSlJpFP490oVMi8I+/k5k2+JjUTeJpanT3gpn/NGPHy87v8RK6cZvVhww4T2sWq0OqrCiIt6nJI9Pj2ep0Ys0Qcg78ci+nYtoBo9XMzR5CWKRMlA8g5BeDfBkydPYuLEiahSpSre/P0fRNTNSwfrNwjDkiVLcSMhURzuedngj/3SpUtYsHAhataqhT/84Y/401tv49N/f4aGjRphyJAhiIxcjpiYGFy9eh337t2DSqWCzWZn8ieRFwavTAbTpvVQDugNWZe2UI8ZDuuh/fCx6PtReV9l0XZbJu43VufgF1HZ+GqXHBvvWh86Yckjen703bBhDSStmoj2s/xoPM9/84ieKBlI3i8JPE0gFouUeLT5xMWuMZvNou3rtm3b0KFDB/z1r38TB3Xefe990dskOjoGanXeRqDPz6s5CrifUlg88jYYDUhOTsaatWtRt149cbCIp314vTp//N98+y0aNWqMHj16YtKkKVizZg2OHz+O1NS70On0cDpd7Hvy/+/nRevJK/jc4tUl5phDUE2ZAEnntiI/rV8RDjePktm/yYPEKZ1oFKPED4O9TT7kvU3E8fjgBex+eQ25Ky1VRPM59Wuw+2sD47rVedG81RK8kChuSN6lDP8l41LjouX53qysLKSkpopqjEfX3bQ08ZHLj/ct2blzJ7p37y5OVf72d2/iw48+RncmvQMHDoqIleeXH72P0lr5j52XO545cxbh4RGoXbu2OGCUX+7Iq2f4i9Cbb/4B//jHO6hQoRI6duyEqVOniYNGFy/G4TZ70crOyYVSqWQ/Lx17d2G634CL1iOLz7VkzysT+1mpTp9E7uIFuNu5He7UqYbciWNgvXkDPptNPAfzeaK88y/xsKhbqRDH71XjRyG7ZiVRQ25mkTyvYqH2ryUHybuU4b84vOufTCbHiRMnMHvOHAwaPERsOA4dNuyhNWz4cPFxyNBhGDxkCBN3D1SqXFmkHvjJyrf+/DYqVqqMnj17YsyYsRgxYiSGBm9T2ks89uF5j7tv335o3qKlOAHK5c2rZfji9ek/evXH+MEPfySE/sZvfoP33/9AfE8t2PX9+g/AlClTRFqFV6qcPHkKCQk3kJLCXuxYZM77mNN6cLGfCXsRT7mVjKQTxxEftRznu3bEqW++wI0enaGOPQKnTJpXkx3kiS1hg5+Hwy6OvvPhxjzfnV2rMhQjBsN28XzeuLMHXgiI4oXkXcrwDUUu7nPnL2DipMki98uPufMolG9EvvbrXz+2fvUa//i6+MivzRcf/8j/zP/+1+zzr4nrXq7FHxtfPF3C8/T/K3H83+nQ/MX/jl/DBc+/X96Ai/dyqVGjlojIR40eIzY5V69eg7Vr12HNmrW0Hl3Bn8uq8HCsmDgRi5o0woKP3se2erVwI3wJVFcuwaXXBZ+N3y3vgNkEB7uNPnIZpJ3aiinxmtnT4Lh1E/6nHLsnih6SdynDo+7ExJui+1+Llq1E7veVV1559vW974tIlR/W4R/5nwu87mVb7HHyKPtBeT+4uLzzX5Tyvzd+/a+Y9N96620h8QoVK6J+gwZo1ryFiOT5z49Wwat5s+ZoWqcOwj79BI3++AcM+eeH2NqzGxI3b4QxKzP4bHyyvPOTIX6dFtZjh6GeNA6SNs3FwR/Dmii40u+JDoNEyUHyLmX4icMrV66KCpG2bdvj8y/+i3fefQ/vvf8+Wx88fX3wAd4X68MHVgHXvSSLp0D4Y+T//be//V28UPF3CvlRdkHy5ov/9/2mW2/9WWxs/uvTf4tTpBUqVkKlylVQuUpVVKlajVZBqxpb7OdT6Ztv8e2/PkHlv/4Nnf76NsJrVMX5mdOgvpnIQuq8HcnvkrdXJoVp+xYo+vJDP01FD2/Lof3wSCV0OKeEIXmXMnyjMi3tnqgQWbp0GSZPnoLRY8ZgzNixZW6NHTtOrFGjRqNLl6747D+f3895Pypw/uf8v+NpFl4OyTdkq1WvgdZt2qJP334ip59/n7xufNx4WgWuCRPExzEjR2JE9+4YWb8+Zn36T+z49r+4PmoYtHEXAHfegZ0C5Z1izUubBHxw300RlSp8Qo+0XUvowpfAfvkSvBqNqCknSg6SdynDK00sFisUCiUyMzJx925aARtPZWslJiZi+/btYuoPz2XzzUku8Hxx8zw3z4nzz/3uzd/jb3//B/7z+edo0rSpeBHgZYbHY4+LKUG3b9/G7WS2+EdaBa87d8THW9evIWH/PlyeNR0XG9VDfOWvkTmoL0yxRwGTXjwfLyldaHJEdV/e/9omw9pUW16dt90q8t08x80nxMu6doB59064MtLhs1hos7KEIXkTJQ7P858/fx4dOnQUgub57PzF89s8Gv8Le2vPU0j80FG37j0wYeJErFq9WlTk8LJDM00FKhwqJbxnTkI/cjCkdatB2bMLzNs2I5B1j0XOXlxSe5i81Q/LO80Bt9sLKPlk+gNQjRmGnAY1RY9w+8Xz8BqNVCJYCpC8iRKFN8nKyckWNeqNGzcRETbflHwwr81z4nXr1cfgwUOwfMUKHIuNFYeSeFdFfmqUp5r4oR+iEHi98MskMK0Ih6xFY8g6tIJu4Vx44s4CNjMuab1ofFSDV3mdN0+bcHnfc8HlcAJ3borNSfmAXshtUg+aaRNF2WDA76OouxQgeRMlBq9pV2s0iIuLw/z580WN+q/feON+CSDfdGzevAUGDhqEhbxh1f79uJGYCJVaTbIuQvjBHD7thg8K5v1OVKOHwr5rK6CRI04fQNgRLb4XHED84VYZ1mR44LRY4T9/CtpZ0yHv1QXSTq2hX74MHpk0eK9ESUPyJkoMLmCJVIqYw4cxYcIEVK1WDf9k0q5eoyZ69OwlDijxk5Rnz53FrVu3kJObK3qh0NT7oiXgcolDNerpkyHr2Rny3l1hWroAyLiLq3o/2pzQ4bVV2fjJ8ix8vlOODVleOHV6uPfvgmrEYMh7doFi2ACYdm+HV6MO3itR0pC8iRKDb87mMiFHR0dj5syZQtg9e/TCpMlTsH7DBpw7d160B+BT7nlHQX49RdzFgM8LV2oKDOvWCAnz6Fs3fhR81y7hjsaJiVcMqLpPLibHNz2swl6JB3b2omtfs4KJu5OQvWbWVFjPnso7VUmUCiRvosTgMpZKZTh16hQ2bdqErVu3ITb2OK5du46MjAzoWJTNe34TxQx7QeQRs/V4LDTTJkHauimUfbrDHr0fSrkWx9JNWJRgwOg4PaZe0eOs3AlbaipMc6eza5tA3r8HDEzkztu3RF9vonQgeRMlBpc37wyYnHxbCDs7O1ukRCi6Lln43sP9STjLw0XkzTcuDVHhsN6+DZVCh2SNAyelDhzLNCFVZoDl4nloRw+FpEk9KEYMElUnvC0sVZmUHiRvosTg0uCy5pPseUdAp/PlmfJT7mD/Fh4mX9PuHSyS7ilmUPIugZYj0XDk5MLq9EDlYO+UNGZo09Jh3LVdbHBKmoeJ6TmO61fgd9OQ4dKE5E2UKCLqY5F2/iJKD5/NCuvpE1BPGQ9ppzaQdmkPXfjivHQILylk13j4EOPLcdAtng9p53biOl3EErjT7+XdCVFqkLwJopwSYJGzIzFBTJSX9++F3IZ1RDWJ/eI5BILvivhkHMvBfaKcUNapLRSD+sHIx51RiWCpQ/ImiPIKi649WZmwRO+HesIYZNeoBGm7FjAzWbu1GrgdTtiysqFduZxF3W0hZ5E33+C0HomBT6cN3glRWpC8CaK84vfDZ9DDcSMe+mWLkV29InJrVYJ5ZTgcd5JhkimgTEhCzuSJyK5XHfLuHUVTKvvlODGAmChdSN4EUY7h1SIeuRTmndsgaVwX96p8g7SZM5B8/ByuxN/FhaMXEd+7H9IrfAFl/x4w7dsl5lf6XXRwqrQheRNEOcdnNsF+8hg0vbrgcqPGWDE5AiO3XEH//akYu+oUdjbvjLSv/wPd+OGwxZ0TeXDq3V36kLwJopzjd9jhuX4F1pmTcbTfCLSfsR9/i0rFH1al49tZJ7GwYTfcq1EZlkWz4Eq9A7/dFrwlUZqQvAminBNwu+FPS4Vnyzocnh2JegvP4NWIDLyyLAPvTzuNWS0HIaNlUzjWRcHLJ+b4vMFbEqUJyZsgyjteJmOFDIELp3B8awzqrkzA9yOyRFfBd2ZdwJxeU5A7sJ9oTOXjE3OIlwKSN0GUd3j+2moCcjJw5nwywrbdw6t8GAOPvBdcxcIJkZDPmQXf2RPwUyOqlwaSN0EQTOAewGXHhXQdGh2Q4UcrsoW8P1iWiKXLdkOzdTMCN68jYLMEb0CUNiRvgiDuc0HuRP1oJV6JYPJekoF3o1KxbOdFGM+fB3IzmeCpH83LAsmbIIj7XFE60eqICr+KysaPw9Px7/XpWHUiFbZ76YBRB3ipi+DLAsmbIIj7pOjdmBynRa1d2fh6Qxpa7UzDnusSuHQGwO3My48TLwUkb4Ig7qO1e3Eyw4jIi7mYfjgFi4/dweVUBbxONxAgcb9MkLwJgriP1+eHzmzH3RwVLt/MxKUbGciV6VjATX27XzZI3gRBPAQ/hOO2O2DWm2HQmWC3u4KfIV4mSN4EQRQMD7bzF/HSQfImCIIIQUjeBEEQIQjJmyAIIgQheRMEQYQgJG+CIIgQhORNEAQRgpC8CYIgQhCSN0EQRAhC8iYIgghBSN4EQRAhCMmbIAgiBCF5EwRBhCAkb4IgiBCE5E0QBBGCkLwJgiBCEJI3QRBECELyJgiCCEFI3gRBECEIyZsgCCIEIXkTBEGEICRvgiCIEITkTRAEEYKQvAmCIEIQkjdBEEQIQvImCIIIQUjeBEEQIQjJmyAIIgQheRMEQYQgJG+CIIgQhORNEAQRgpC8CYIgQhCSN0EQRAhC8iYIgghBSN4EQRAhCMmbIAgiBCF5EwRBhCAkb4IgiBCE5E0QBBGCkLwJgiBCEJI3QRBECELyJgiCCEFI3gRBECEH8P97puNcI3C8jQAAAABJRU5ErkJggg==)
physics-General