Maths-
General
Easy
Question
If
be real matrices (not necessasrily square) such that
forthematrix
consider the statements
![capital pi colon S to the power of 2 end exponent equals S to the power of 4 end exponent](data:image/png;base64,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)
- II is true but not I
- I is true but not II
- both I and II are true
- both I and II are false
The correct answer is: both I and II are true
![S to the power of 3 end exponent equals left parenthesis A B C D X to the power of A B C D to the power of right parenthesis end exponent end exponent X A B C D right parenthesis](data:image/png;base64,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)
DABXCDAXBCD)
![equals D to the power of T end exponent C to the power of T end exponent B to the power of T end exponent A to the power of T end exponent equals D to the power of T end exponent left parenthesis A B C right parenthesis to the power of T end exponent equals D to the power of T end exponent D equals S](data:image/png;base64,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)
![backslash S to the power of 3 end exponent equals S I right parenthesis S to the power of 4 end exponent equals S to the power of 2 end exponent](data:image/png;base64,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)
Related Questions to study
maths-
If
, then
Statement
because
Statement
:A.M
for ![R to the power of plus end exponent.](data:image/png;base64,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)
If
, then
Statement
because
Statement
:A.M
for ![R to the power of plus end exponent.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABsAAAAQCAYAAADnEwSWAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAPUJuPDwAAAK9JREFUeNpjYKAc/GegIxg6lv2AGvAUiE8C8TYgFsViAS5MNFAB4gtoYq1A3EULnwUA8VI0sXAgnk8Ly+qBuARNrBGIC2hh2Sog9kPi8wHxDSAWp0XKugXEkkDMAsQeQHwOiENpYRETEP9BS1m2tMov5kC8H4lvSSAVUgQisaS63UAsTwvLJgFxGpoYyHcLaWHZOiD2wiK+F4i1KCzOMLLHOyDmwKLYElpkUdUymgMAmu8s4rDTE2oAAABqdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdXA+PG1pPlI8L21pPjxtbz4rPC9tbz48L21zdXA+PG1vPi48L21vPjwvbWF0aD4BfADXAAAAAElFTkSuQmCC)
maths-General
maths-
If
, then the value of
is equal to
If
, then the value of
is equal to
maths-General
maths-
The minimum value of
is
The minimum value of
is
maths-General
maths-
If
andy
(x)then
at x=1 is
If
andy
(x)then
at x=1 is
maths-General
maths-
Statement 1:Degree of differential equation
is not defined
Statement 2: In the given D.E, the power of highest order derivative when expressed as a polynomials of derivatives is called degree
Statement 1:Degree of differential equation
is not defined
Statement 2: In the given D.E, the power of highest order derivative when expressed as a polynomials of derivatives is called degree
maths-General
maths-
The solution of
is
The solution of
is
maths-General
maths-
Solution of the equation
is
( where c is arbitrary constant)
Solution of the equation
is
( where c is arbitrary constant)
maths-General
Maths-
Assertion (A) : If (2, 3) and (3,2) are respectively the orthocenters of
and
where D, E, F are mid points of sides of
respectively then the centroid of either triangle is ![Error converting from MathML to accessible text.](data:image/png;base64,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)
Reason (R) :Circumcenters of triangles formed by mid‐points of sides of
and pedal triangle of
are same
Assertion (A) : If (2, 3) and (3,2) are respectively the orthocenters of
and
where D, E, F are mid points of sides of
respectively then the centroid of either triangle is ![Error converting from MathML to accessible text.](data:image/png;base64,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)
Reason (R) :Circumcenters of triangles formed by mid‐points of sides of
and pedal triangle of
are same
Maths-General
physics-
Two metallic strings A and B of different materials are connected in series forming a joint. The strings have similar cross-sectional area. The length of A is
and that of B is
. One end of the combined string is tied with a support rigidly and the other end is loaded with a block of mass m passing over a frictionless pulley. Transverse waves are setup in the combined string using an external source of variable frequency. The total number of antinodes at this frequency with joint as node is (the densities of A and B are
respectively)
Two metallic strings A and B of different materials are connected in series forming a joint. The strings have similar cross-sectional area. The length of A is
and that of B is
. One end of the combined string is tied with a support rigidly and the other end is loaded with a block of mass m passing over a frictionless pulley. Transverse waves are setup in the combined string using an external source of variable frequency. The total number of antinodes at this frequency with joint as node is (the densities of A and B are
respectively)
physics-General
physics-
A rod PQ of length ‘L’ is hung from two identical wires A and B. A block of mass ‘m’ is hung at point R of the rod as shown in figure. The value of ‘x’ so that the fundamental mode in wire A is in resonance with first overtone of B is
![](data:image/png;base64,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)
A rod PQ of length ‘L’ is hung from two identical wires A and B. A block of mass ‘m’ is hung at point R of the rod as shown in figure. The value of ‘x’ so that the fundamental mode in wire A is in resonance with first overtone of B is
![](data:image/png;base64,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)
physics-General
physics-
The length of the wire shown in figure between the pulley is 1.5m and its mass is 12 gm. Find the frequency of vibration with which the wire vibrates in two loops leaving the middle point of the wire between the pulleys at rest
![](data:image/png;base64,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)
The length of the wire shown in figure between the pulley is 1.5m and its mass is 12 gm. Find the frequency of vibration with which the wire vibrates in two loops leaving the middle point of the wire between the pulleys at rest
![](data:image/png;base64,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)
physics-General
physics-
In a sonometer wire, the tension is maintained by suspending a 20kg mass from the free end of the wire. The fundamental frequency of vibration is 300 Hz
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)
If the tension is provided by two masses of 6kg and 14kg suspended from a pulley as show in the figure the fundamental frequency will
In a sonometer wire, the tension is maintained by suspending a 20kg mass from the free end of the wire. The fundamental frequency of vibration is 300 Hz
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uksTPGzl8eJyeg/fCuubHfyPk5/8vjlbbu7GuPnyYAfuK6WcWHOrxhWSyv+xJea91Tp0TrqSdE62kn5v9PjhVNTdFy8vEx97CDyg4Kf59/7hnRuPVm0bj9lmmq7l0SlZen+VqOTwuraa9dC+D1tLSkSbsw5uy6Y8z88fdi0X3D6gwv2xoBb1GC2x133hm7775H2VamFt5l/fvHzbfcUkBQ1RTVU6ZOmRqPXnpx3PCdb3wofHgIw9PJJCym3ZPhYXaPzu4sbO/7uSDPS4Y3Y9GKeDxBcMcRLfGzYc1xzgsLy+/btzXFlg/Mi1nJTOrtnTXzPSGBbMv758U2D84rAPZEKo0DEuT48E5N0Jucpuuz87qK++BHdzXFufkOznphQb6POSWoMba1vghrrbe9vZisTXvvGh03D46Vy5fH0idHRtMBe0XzsYdH24CLY/a2mxefXtekCWXb2areZH6dnbF88qvR1j//PYnHwptuKOfrfOmFaNh0w2jcatNY+sxTJe3l972tEfCkpEydNq348M4488zykZ5f7rpr/Gzjjct+2q9/45ux6eZbxL777hcnb7NVXPLZT8bw7bb6rfvwpnX0xAnPtscPksld8+qiGDJ1SWyaLG+z/PHdNSaY3TZ1aWEZP082Mmx6ZepePq4j/uOGhvj49Q1xWZph7V115+47aQ2Le+LM5xfGT4bNLdHXYdOXxFapNH52z9y4buLiolwEMjZNBfSTnPNbkgkyda/OdyOSK3J+QR4nml5v2VauLDl3dlkINHTPbozeJUuifdCAmPmj9WP6+l+NOXvsUooFiLoCxJ6WeaWggJ0VDZtvEu2XXRK9CxeWCG3rKSfEjO9/M5r23zM6n3u2DnjZ3taHx7SdkzR63Lhx5VsWd9xxR1x55VVx7nnnxSlnnBnHHH1MHLPpJnHmv/1T3LvVL36rJm1aVgWsfpgs4oin58ehT82PjRPUML0RyTymd3THJS93FDPrlw+3xmPJ8iYt6I4LknFsZtwjLbHbI63x41yYd09fGr11/9LbNsnpAAyT+9WT8+OYZ9pSicyNnR9qjXtnLi2KZNAri2PDnM9tk/09WN7BinxHHbF5MsLth7fEvo/NT5Y9N66fuKS8v3rLeV3RHR233BRzdto2zdsTo+uVcTE/zdYZ3/tGzNrwBzFn534xd/+9yi4KTNBv7n57xLyjDi2sEEvsaZ0fbZdeGA0b/TBm/vT7JZG587kxxQf4+97WCHiKf06ePDkeeeSRGD16dMyYMaMkIa/eyOfsxsYYdsZp0f8Lv30fHv8bs+ort86JHUbMiw1zIR2cC5H/btz85XHKGD68ubF/mlsvpRk1rm15HJmL9EcJgIc+2RbPzVseFycg/u/LZxQG+FIeU29v3Uanmbrzwy0l7ce8Y3F7PdYaz8xdHq+2ryjMz9xSItJ+KJeTk33rO/CJtniiqTOBbnEJGH1zaFM821yf71pTLaUkEu/5y5h78P4xa9OfRtM+u8fiu++MRUNvjflnnx7NBx+Qv/3L/tuF119dAh7y+DpHP1OA0viWY4+MuQftU3ZbdI4ZXQe8bGv24S1aVL49u/Muu8Qee+4Zp556alx++eVxe/aNHPlE8d/5ilnDrFnxeP9Liw9vRL/fng9PusluyeSkPPDFfWPInOKXwyj49PZ9fH6sn0zktDELYurC7hjV3FkWIkc7nxI/0+hclBzszFp5ZKc+tyAWdddN2zW1BV29RZn8e86VnSvfyDnnSpicoPZ8Ko6Dn2wveY/HjmqPV9q7i4LZP9/Bt2+bU+Z1Yo57LgHz4FQ03tk/XjMrGXlbmrY9dabX11akOdt65ikx/aufi2lf/XzZbWEvsv2yK3KdrWicVf3y/wU77NCwBxfQqZiyYNDlZWzbJedHy3FHReezo+qAl22NgNeTtr5KKMpAnX7mmXHkkUcV4Nt88y1i/fW/G9/85rdik802i7333jtO3poP71Px4La/HR/e/M7eklLyhVtmF3b2ozubYvCkJQUE70rTVFrKz+5pjmteXRwNi1YUv90maXrp4+ObmX3G8fNtl0xl0CuLYts0t4DhFa90xLKe+gpcvS1ZsarM0deHzom/GjgzvpvAdqWE7sUriutg6wda4id3NcfA8YuKwnm4Ud+84kq4tvj1uuO+mdmXc23Or56wqAQ0vpZK6uKXF5b3WW8RSx99qGwxs6VMlNbuCwEJUdeSnHzuGaVoQMuJx8Sc3XasSkjtsUvpVzWlt21+8fEBPLl4dcCr2tv68NTEm5s0+eWXx8Wjjz4at946pOy4OOWUU+LoE06Iww47LI7aZOM482P/HPduufk6Bzxutntz8Uge/rMrZpZAxP0zl+bi64mBuQg5yndM83bYjKUxraO7LNSf3t1c/EciihZk/3EdxY/UL/tsgcJSJMmud8HU4g+sJ8i+3lbkhD82uzO+lUztT1O5bJrzPWTKkpid833jpMWxUc4jcLt96tKYvnBF3JAAZ8yW9zfH3aloZuW4KxPgRGe3ebAlFU32pcLZ7/HWMt/e47PJtH/f27Knnyh+Ov65JQ8Pj64J40spqPYBl5YIbetpJ5XUFaZr+f80WW09W3zPXSXoUWu2os2/4Ow64K3W1gh43d3d5cM9I0eOLCkozFcf9OlR6WK11jRnTtzNhycPr+ylXbeAxwyVWvIXV8woqRGj8u/TEsSYs9JQKp9SZ0mdOPuFBbHBnXMLmxiTZtekXJAn9fmU9s1xjn01x53x/IISZVx/yOziBzztuYUxO9livUWMy/kBaPbJ2j1RS+gWLNogmfWOD7WUlJ8pqSREX3+Sc7vTiJaSC2mc94LpcSeMFDRa2F22n2Hh376VO2JOnDC6vSin38em0pCN/9icKsYA7I2R1ZWdnbGiYVYsf2V8LB8/rmw1U2RgTW3l0qV1wHtDe0sf3i233hrbbbdd7LLLL+Okk0+OAXx4d9xRvkerdFTT3Lnls4xPXN6/z4e39Tr14XWlqXnIk23FrOqX5pGgw6vt3XH4U23xjTS3js+Fg63JAfvVE23Fp3T86AXFef5i6/Lir9N32nMLynGSY/n6vnP7nBK5ZYrt/dj8+PcbGpMtdkTP73nUtqt3Vdmpwr+5eTK2J5uWxcT25XFizvM3b2sq7+KV/LukY7suzK138XJrd0k6Fhj6Zr4Xfr3xbcvjpdau8u+OPT2VzEM53wfmO5EexM+HTf5eNZVSxo0t5ursnbaNjltuTIB6G0XL2fkbHJ51wHtzWyPgMWXttLjyyivLXtqjjj469tlvv9iuX7/46YYbxfe+//3YcONNYo899owTt9qy5OE9uO2620srO39omk0Y2K7JFkRiJRjbwvSDZHF8erMW9cQDs5aVCOKGyQIHpOnKX/dQQ2fJFWPu8ilhhNIoSl+ej6+PSez8Xx0yJ/5y4IyywJ+a+/ttat0xbUlJ6JbSIxD0ZFNn7J5zL+exFiAamX07PNRatpOpUjMllcsTTV2xQ7I8wQ3vZWqyN+9ghxHzCru+5OWqoMN9s5bGd5Lh/c8BM4rJ+9icrt+rAIaKxS0nH1cSi5V1Eqld21YHvDe3t/XhybVqbW2N8ePGxSOPPho333xzXHjhRXHMscfFgYceVj7CffjPNio+vPu2Wnc+vHHzu9MMmlcWHKATpOAstyBvmrykgN312ScwIQfstqlLYkYuNOP4+bZ8gE+pyhXjU9IH8Gx0n5lgd/n4qm+3R1pyMS8ouWR7pimMMdpK9fvUPC2lALTMka1j/HZ8nraSXZXzNzPn+/YERKbpL1I53JjvwNwOmbK07F7ZJN+DxG/v5YZJi0uwQi5e7V3dkO+FUuk3fF6cnuyOkrITZkIy79+H2V6R64YvTnR14ZUDo2f+/L5/WbtWB7w3t7dkeLNmzSq18F588cWSh9eq0ODyX2c585qb496zzogBn/90jNj6F9HT+MED3tylPXHGcwuLg/zkZxeUCOG2D7YkIM2PRxL8bA2zCIEfE1XVlBm5+PQBScAlL8wivfTljrLflnn7tHHJAPmjJCxLmRibpu+LyR4t2H+6ZlacmabXsp7fr1QVKSgY3M9zPo9+pr1EVfnldnm4Je5PVma+gRnA2iUZNr+e4ISdFgBy5+wDkvyg3sEWCXR79ikq7+DaiZUS4j7wrl5Jcxf7+8drGuKUfL8Llv9uR21758yO+eefHbO32yLaLjo/et/HT53WAe/N7S19eDfddFNstfXWscOOO8YJJ54Y/QcMiDvuvKskIgPDhR0dsaC9PZ4edEXcuP43Y/h2W0fL1OmxpGdVLF2xsqRzdJb/XxWL8++r9/lThQ0/f199nL7Xj63+XjvW/181YXF85dbZBbgssC+n2en/JbKOb+vORVnldu2Ri+q5lgSsBK0jnm6PL+Uxdl1YVC8nQzzoifmlUsoBI9tKwMI4fZ+7qbH4/Pii+P/4lfT9jwHTSy23x/M67vWN91d7Dn9f/RmqcVV/bdzqz/+Oj+37+3s5ttb3a8f29b31sSujo3tlMWUlc4ts2yMrksp18FgCG9+noI55FNl+Ks1X/rrjRreXcViaYqsi3UePao/P3dyY76Wl1MeTDF71zS5BDPl7L2ffYU+1lfn+6JWz4gv5b8p6yYdc03O4xzU9W61v9XlffdzbyePbHavvjcfWxvn5+28+trqevmVNc2PBVVeUYgDzzzm9fHv2/Wx1wHtzWyPgidK+nGYskDvxpJPiyKOOiv32PyB23Hnn+MXmW8SPf/LT2GTTTWPPPfaIE7bfKS5e/4dx+fb7xnkPvhpnvNJVnNvnv7QwzsvfkQk2kkrPTpZwwdiFcdbzC4vjmmObc5qvR1b+IU+1F8e3bHzHnpu/w3PMYflzngvzWID0mRtnx3+7ZHr863UN8S/Xzoq/HDSz5OBJfeCX+4dkYn8xcGZ8SV+arj+4qyn7GkqfhYt18PP93dWzSjkjfVvnOCkof6svxylh5HxyzFRF5qjnW/qjy2YU0FNl5cx8HovT4i7PlvcowusZLOTzX+ooz+EZj8rxjjHuonyOk8ZUcyJZt3YsUw6rNDcX5Jx4Zpvvj8zj9EmQdqwggQDAScl+zLM5Ne7gBGmBmgv7jnUNc+/+FE0wf8fnedyz0kzO51hVTVxXxNqx+lU1cU0uA2D23y6dXhiXytF/dsWMVDKzY/sEM9Hsf7q2oaSoqE4D4OxSMbd/esXM0scU5lr4u6tmlWMFlLZPcPSuzOufZ580l50eai0RXDsv/D6av/+e8w30dnu4tdyf5zov5/X4/H/zYr7d81k5h8fmc5rnk3Me9Zmbw/P5jSNfjvVsWKq5x9aN82/ejWMFsMijd6KqjrHO7VgsVz0/81d7j6fnscY4VuDFTh1y4f3oN44M+POIPM7v7Bc74oKXF5WdPwMvGxov79Av2s49I83a9z/gVwe8N7e39eF1JNMTkRWZvfvuYTFo0JVx+ulnlK+Z7bnnnrF7At622+4eP9/84Nj68Otjt2EzYv/RSxK85qeQtiTTaoy/TAD5Wgo5drDnYy0FsP46+759+5ySf8VP9ukbG0vtOsmn+2YfM+gzqeX/auCM4siW1W/cR6+cGeudMyX+V4IPcLJgJBuvd9G0XBzTyr9bLP79Dy6eFn906bQCYH939czC0NbLvv91+fT46xz3N1fNLP/v2D/pPz2P05fA1j/PV47NcXns3+ax/v0PE2Q9y8cSaN2nxe9am947r4DcFgmQKvr+XZ7HnlJAzcwDwACXKXdQzgFTGyC4d+B7SD4bXxhgNZbPy6Ji5gEJ1Zr5tID9xgkwnvGf8nx8aOZF4Ma9Gydx2r0AE+PshAA45t4e4Y/k/f9b9plf55NKgkn9xw2NhbUBPiW0HPu5m2aX1B5R6j8xJ2dPifUumVbeKSAr83nm5DJX/5l9X9OXAKXvD3Ichmfb2R87Nvv+MPu+dGtj6ft/8r2sd8bk8s6+dEvVB1Srvunx1VRCjv9D486aHP+c84LF+1FuH83nBZLkhyn8n9lHeQHTffNZMXn3+ecpPxKkD8xnJT+Y4/+X4yitA/JYgP6plD2VryWamyeVmcnjX+Sx66eMmhPzpdiBYylB75FJb94+kn2A2jUAvr6/SlkWzPEu+qV5/u83NMTf5Jz+OMf9Kvu2H9Ea/3JdY3zrmNvjruPPiaUTJ/atuPe31QHvze1tAe/tWs/yrpg2fXocc+Xt8Y+HDI4vX/ZcXPvKwniieXnxjQkWEESLmZbEYiy+z+dC4hPDOmg/eV2EW4IqrYyJAA+CDTCM87PoafufJBOTX7fZfXMLKBJYrALAbp5goo9wOh8hl1TMlPrk4IaSO7Z3gu7GCUiOM1ZEkEmlgMCn87hPD55dnO8qIjvvZ8s1Gsr1LDDMz+K2KC2Oy4q2VvutqbBKJpsN8idlH5Bxzxbq5eM7CpMAMsxw+YADxi0qeWcW21eyb7+RrdE/x2FXWKjzuaYgihSO9XOxGWeb1uV57FHJQr6Vi9KiBn6X5bwbJyUEKB2afa57ULK/b93WVPasWoSuazzg/naOdZ7+eSxTXurIt/J3TN6D3EXA+4mcFy4Be2f3y2tbzB+7fla57q7Zt3e+jw3yGT7epww82z553wCDYvja0NmlOANl5lk/lqBrCyBfnrnxXIAYEDmXPv//8QQKuXmYqcIPO/fJD+AvLCvlBxiRlZ/me2Y9YGh2ypAp7x6TuyiPZXIDZgqHnJ2Xx2/3IKU8O36e77bGyCkmx26WMoLVkVvyaBxZNe7svI68T+x3q/yzxgp/nrLkWIrMcfrIv3E75PUvLoxyQd7DvPjTgbPic9dPi5uenxNLuj4YIKoD3pvbewY8rXflyhjw8AvxiROGxI8uHxnj5y2JhmUri9/LYmW2vtxW5cJhFL53gO7z84zOvr1SO0v9UGLdZv3nWrqKsDv2xDTZjHuyKcc9Or8sdCYbv9FDjZ1la5JFyPwSteUYJ3yOPTcFbWKOswuDALsu4ZuysOqziC1Mwut80leAIZC4NAFMrt6d05YWYcUaCOq0PFa0F6OyQJWUkmB738xqnPy9q15JRpx9/F6uoZKI3R2CISqL/HRYc/zo7qaSDjO1o0p9kZoBBP37lI4VJZL8k7tzXPYPnlRtxbr21cUlaXqjPP6WKXaNrCgb74GH+xFxVqLetbAyIH5H9lVBmI4CgAI2djYYB/A8l0ip6sT2Elu0wM98PTCruoY5w85FT+1MeTXn5Yxc7DWfndSUl9uWl3dl3rFOicfmlJkH7CkOScbFtzdqQWFZUomenbe8FGFlJgKsWpEBgSKy4hrAtfK5VuNc48CRVTBJKhImzCVBATiXAJPiEN434OcXfDH7D8jzOfaoPIf7EKDCDMme8/L9kkf7sfWRMz5cvl0sEAOl1MiFKjtSc7g9uBXImWdmptvDDXRdQ595K3KWZizZezDlDJP2Pj6ZCneLlOEHGrvig9pNVwe8N7e1Ajztysdfji+edHP84OIH47pxrXHE6I5iUl2YYGLRcGQTLouQD0W6gpw2wrVxmoO2dsnXsiiYIhYwRiOyKvkXi2I2WriieqJ7ShDRttcnECj7JGnVwqKJbXGyZ/aeBDbCxcy7YaK9tb1xfwoc53u/ZAqq9MrLs+0M8/RRH6kVcvBuT2Azboc83n5bEUbgxNzEKADMzAQi53BN7PMeKS15f4AIQ3T8nTnO+a7Pe/L8ForIpute1xedZAbZ0uZY2+F+ns8KECwO4wbkXMgj9B2IR/I5zSnAssPEYlRwc1qC2IUvZV9eY5+ca4vNsXYxMKMwPOXVJ+eiOzcXn/Mx3ygYC5EfS58qJnavTM3znf7cwgK8R48CHF1lwz+wcw1gNi4BAbABO4CPlQIioIiRAWd+ScpofI6V9O2eRdYnJsACFD5GTJyfUwqKPv4142rKSEI5sxLbdp/uzfYzYGhO9QEiStUcGQe8pRABS+PIFHkkU5WctZS554cjj3IFyQ/m6B24hoi/+a31iUZTDnaTbJbv3F5hczwi3x1gwxwpK+ejBHdIU9azUVq23pEzVg/fpz5gvU3KyIN1wFunba0AzzcJbnluWvyw/2Px8YtGxfeGNqTWak2msbjkV9mUD5gIJqEhDF484JD6ARwIIYAhDFJNgIP9lTfnn4CjJkjGlYKeedwvkoVgWzOzD8AxfYEiwKqlpbgmILpzegVsaq5Z1PL1JBqrmjIwzT2LlQliQzvQkRy7US4aICgZFsAwC2vfZsAkLaaLc7FYSDQ7YJ6a45hKP8lrAKyH7cvNa5yfi0/gBHMF/q+2Ly/MiblrnCReC+zUMdmX4KRG3FN92+H0fe+OuQlOyldVZa4473+YbM9CrpVO5yDHCPkDRaaNOy4BxrEc96qVAA5MmqksGITViEwzbR3L3H45/44pHfpkezm2xrJFVX+VLOkHOe6EPC9Wg/1QZO75tGTZngvASAXCWM2F5wK+zFRmMHAyn/pE2CV6n5/jzBNFZj74w7hEyArmTUmYq0tyHr1HimC7BAqgKJlcIvMDOdeAxDhpSpitnEp9ABDzJY93JGvHYJWyum4ieUwmnzJa5DHPJy+wxsZZEGQDOPkYkc8GSM0x9pYpFK10nOwjj9nv3DOStV8zQZ5hc5FJVoJjr84+AR6smGI0B8x7LgGKVMT8g2h1wHtzWyvAk4P7wPSF8fM7Z8U/XD2jAADtplKJHQsWg0gp4CAgcrOU+eYHY5YCLGCCEcqlG57CrIouNmfREFgLwbFX5DjmGm3KlCqsJheBL5IBoseT6RBWC41jGcBYgEw445gR/E2jmytmIrLJ5LQYsRrjTk6AMe6AXLQAAuvAdPiROKUByfhkLNgM/5TCl0DDOOY7v5SoIBMMeAARvij/hiEBKCY9k1gtPlusnBOYfCePBSaAaEyCG38av5soKjAtbCVZmTJX8tPsQ7UneM+8f6YtM37yguUFQDEd93JOsrkZudALmDw8vwQkap9ONIc7jmgtNQLNN5NdYYBdEmB854M/UAWUB1IRYKuAiH+RUsBqKDLv9+o+ls0MprSM856x4junLSvKhKJhxlv8FB6lRbkBFgnhd6Ty2iwVFvkBAI69sQ9MMF5VqjHlWxOQjAFY0lUoQaDjXM7po0zGyRXcKBUe9o2NU6BAB9hTgiNS9twzxQjsgRtFRh75Cj0X2TMOyF6a80NWsHv7grFifeYT48OeKdCznl9QfJnMc/Nbk0fv23sane91UsqKPj5L/j5KXPrKB9HqgPfmtnYMLwGPABMaX/Xn5yHUTBlRNGaTRW6xM1v4uWg2/jq5WUwfAMNk8Zk/pgkwARI14KgBjHHMHSABTGrAwbnOFLKx3Xk43AECUHPt2j5a6RnODyT4BC1qjIMJxh8EIIEE9oXBYWP6gKdxQEIfxgEkBFII/qgEUAvhu3fMSeCoWCzg0Gcc86ohQYLZvW2CtblikhonSRdIAHI7Pmh+PsatE/yZkxauxc88t4MBcFyTwGERMs8tcs76W7Dd7MNWsAsAUEypPJbZjQ3x4dkhUUz2ZB6AA6Bg4UDsxmTRxnGo+3fH1pSWyibes+fAlDFM/lLABzgwKOwKmGBls1MGuCo8P0AgF0q7+0g34NAnb5KSMT+e/41KC7ALfsjj82yCACL73gnz1TvyrpxP8KMUjsjzYcXeNwVFSfBPkgfySLFgu2r0lWBR3zhK69Ucx59XlFay4hf0ta/oU1pVYAfrdjyG7P7IqA9Cjc0+sk6+KSgmPNmlEGvySPZG9Sky/thP3NBQFL/5kpf3QbQ64L25rTXg0YK7PzK/MCWLAgD5uLUXD3QIImbCJJR3BmBqzITGpRVl11sAgAiz4+tjDglYODcG6MMvAIY5xO+lTzCBINX8etgeZkLzP1j2a7aUbWEWFYBhDlm8zF0A4xoABugwfbCA6WmWME8wE4BQM4ewFWAAZJjiKnowxbdME9n5bk4wwU5vSRYCdIwdnP/fuGRFBTo5xjmH5jEW9evm0Lw+c6hmilcAwxwqbCVBB/jxCd0zY0kBRfcO/Nz3gw3JnvN8zEB95sZ3JLAVeWHmmC/q4ZwjgFAYTD4rQDaXmAmAKSZ2grm5dA1gAoiYzt6DeeaQd7690pTFlCkyPjnvthZgMO6kBBNAREFhz5TUifnuLXQLHsBQUpgvRsifVVWm7s7/rz4AJHAAXPwAkT5AxMQGRgIblIecR8c5J2aOdVGurukeBTk8h6BDza8nym9OS+GI7BPEwMrI3nnJij0DeQSuTHHyaO4qOavMZLl5AJuvj5yRR/5W80m5iWibU8Dv3XonfHbeN4Xn/pm4St9LQv4gWh3w3tzWLmiR74kAiYhhFXwefHMApuZv4eMiIL5RaiFx0DORCAONjyHcm0BZ+lKAAUz5gHMyD2ZuDZyMY57wwegrEcw8H5NAwIGTvBaw4G8hWIDnpuwDdvwu7o//r2I1op+LCoD58fUBrCsT9JyfmVPbbytKqo4eBsPXByj5/6Q9ADFmnz24GB7QsQBobs97RT6PhYnBWDAWhEKX5sS4GsBIgfD80jc41gVyRPeAxJ4J+uaZnwzwAwkLdFT2WcSSjKXFYM8UDBNbdWemroAFgMCARRWdTyRTn+ommItj5U4CHcyE0nJsCU7kcfyHwAZwSJ4FOqKfzo3tAScl8x2PZQMnCg9wuO9azh9WJWABYLA37g3Jw8ZVwa3Xvy6nnh6mLAjj2FrAomZ2A5ji/8tjzSHm7dne6P8z9/rIo3cniMWf5r0w4wWRKI4f3+3DT9hz5XuWP+cdkT3yWPn/Klm5rpjxVZ9UKErq1pQvivHmZMr8fGSNHPIpk1XKbYsH+Poqf7Q5wRyZ63Uf3rprawd42bAEQiTx1UIUOODD4wAu/hZgkoKBcdya4FRMqQQUZhph8HUxYAnI7pmZplQCB6bjXECH4BIuX7rCLviOmIKEBsAQaH49PkGCicFYcHK23BvNLBDB/GVKWWwWDq1tccnfK/6WPJ98QebQ3skUAIeFiOnw4fnUI5CYmGYOtsCHB2D425wPg+Fzw2A4/ickmEiZYUoV/18CAiZSM8+LeTU/wSmvYeubY2vRTyYSIJI3JyDB/GeeAxPHHjsqWXGCGvZTSqfnvZz6XBU4cD/MK+fjf/RcnhlwADE7Aibn/RoHNJ1PRBR7FpwARNJTmJDeDwZTzPM8dvVIJ0UGiGpK65F8J+bX3OtjEvPdejc/TmDTRwaY4tJhKLzBzPPso/CABKao8MCcZMWCUvY5kxeMmjkNiAAJwKoFrWopQFJ+bks5qxUjpbT4+ozji3ResgKgsHq+wxsmKgg7twQdKC2MmsLlJiB7xjkW6AFTjEyAClCK0pa+HPf4nKqQKUVPAWDZIupAVh/zl/9YbUaWgQAMk1baDjfDB+XDW9XdHfMvPi/mHX9UdL3wXF/v73d7X3x4TEmAAsRmp7BK4LSQqgKcgCPBJDW0xSD1BJgwB04bUzl098lFK1UFcAATi9VWqVoUEjMxTrSS/w+DAQ76Sr4VIMprlETcoVXSLHAZ29pdmAlfDVApIJHHYyZ8eIIEGMzLCUZAyXUFM5g58sQwIce6vsBB8f8lcFj8wKQWiGCee14gWoAjn0Uf8wpgAgkmEuAA2uZHZLIEDvrAZEAyRtcA3JifcZfmwrARn9sAi8VqpOxQAA9nH3ZZggSFcXQXhaHP4qc0LP67Z1SfSQQAxlmY3hNFBEyqwMGKYmrrAx6KAczJY/1JGQEeCxPoFKWV94E9V6k4VWXjMq6w50oGKCigBiTIiHFV4KCpJPwCUspIPiOmh1ENL0qrpygtcyIliZ/QsQIrRZHlfJlLsgKUnc+4x5MhCtCYb+9MBFm5qpp57v2IIGOroszMWdegCKS5FKWVDBTYH5SKhYxij5hqkcfsIzvySvn1KA99THOuG349Pjx7ubFfwSd9FB4lZ8xL2U9uAaWkauBLoX9gJm1nV8y/8JyK4flMY2/9Gy1rDXjDG6oUA/6O+/LlERA+PCkQQAcgyO6nvYEPgdF3QIKORY0ZYSq1Qp01cwiAFf9fCilTr+RvJbuSnMonRVvz/xEkYEnAOcmZhoQXu8Ngiv9vNXNox4fkajWXRUWgAQwTyfkwRv41QihKx0xmDgGEB/I5BRP44mq5WiLS/dIUdw1FDRyLcQAnwKEP62QaFxM7++QOVknMyWoSIDAW/jyLGgvBNiwELAU46QNWzukYPsbKRJpXTCysx/25J+4EgRHBC8cyz90bxiEVB8AMSsAUnAA6XA7Fr5fA6lnNjT7n04etmGsRTEnW2AoQYyr6SpyAAFbsGsZVJnul3LA/CgM4UVBy+KS1VACTSivlQCDJvGOko+dVRQbk65EBW/OwUMyYKQzYmIF8dcxuCsyx/IT6+OwoP8diwGQKI+cnBGw+I1kLZEmMd+xxCUT8x0Ues889K4ZACVLUxgGnWtIxXyYGbA4E5vQ93SeP3AIUWUlEznkwjjLSR0FV/r/WolREyu2goQwEdN5vwPNN2qVPPREdN90Qs7ffKmZt8uNoPfX4WHT3ndH14guxctGivpG/f22tAE9aCjYj16s44HMBb5jmhkVAswIY2rcmDFgdIOLQJUgWkMXPrycHi8BZaBZrAZ0+MLHtycKUtsKvR+AKwCSrwR4wIgLM9GhMLc+EZpIAiioQ8TroAKyqNpt6bUsK6JQdDNnHDBN8EHDAYGrJyf7tZ/fMK8fbwSBIgNUAMOyJL4fvUA4YMGF2ux4AlI7BbNLHbKqZQ67JJ1gimDnOczOlfIMDq6lM8So9h/+v8utVoFMDMX1MJMDv+S0yrNE884NZ/Ezx0clMLfYq6NBUKslw6E9KBXJiAoyFacFjOsCpmOx5LAUEOAAMNoyxAgEmNwZzxFPJVuT6AZ0EDeOY4Ji3P5n10nswncon2FYAgcm//+PVvl3XrwGRfaaOxbL5OskW5l2UYCo8APtM3jfl6p759ZzPOP4/4yRWkz0AYxywk7LjXegzl+RHwAsb5x6pmHdTYc/ehQCDPteQfkJW+P9qvmJmL5kio/x/P7F7JhktH54ItzzBkoqTyk1x0+Lr61NuFJljkQBs0vj3I0rLX8dsVSl5/gXnRMupJ8a8Iw8p37EtHwI6cO/C9HwJrf3yS2PJ/feWr5r9XlVZzbb2PrwUIsCkegkBxlb48Lxke2YBDGAhSPqAEB9MDSQIgHEYiwCEY6VIAAm5WRjM9BRM4ziWMSCRScfaymXx8/8wr5hS+ggvQayZQ/LCsMR+eZ9AgmAOfCWBKIWy8rd0FvOv5v/D+AqY5HUxPCYSVoOZYDC1CCbNXsu3wmAIMEaKrU5aIMCwsJhDos+VX6+Kalr82I9FbhFjGkyfwxJAlD7HOk7Ica+VTk9wqe1MYJoBGuCC1UgcZsYzxybk38cqnZ4Aw//nvECSKc6MBya1SPmLOQ7bkobhPt0vwGP2uWdgwkTEngGpeakxZcESm+edD3AAJ/PAXWEc8DafSkhh2eZeZWM+QYzPe8DuKShskl9Mn2P1zclx/HoUwo+TjdcCBwCGMvLO5ek5Vj4eRQTE+I0prduSZRsnF4+fkB+OogJW5A/IzExFQS7Jpz6s2LH8hYJRzHjjXFfRUgqFu6BiwN1lnGsaN5w85jiAqY/fUvQV2GHeLB4Wg7Viq6A+e7ntz6VU19aH5+Pbi++5O5oT1Bo23TCa9t4t2gdcEh1Db46O226JRXfcluzujlJJufWsU6Nxx62jYfONS9HRrheej1Vdvz/VvNea4QEaPrxv5QKr5W/xtwAEpi6WZ5FYGIRcsivfCmGtBQ4sqEcTYAAHZmIh7Z0gYbHR/jZcA1Mae3SCCc2MhdSA4+lmrIa/JQEhgYNvpZY4LEXBgmP6qIPH72ZP5w9TMI9KQGD28Kfx+1n8mAlfDWYDOCxC5pNzjc0+wKHv+DwH89w4W7IAUe37GAAGE/JsTHaghlFVaQ7VhnbjpGxgWwCVPwozAwiAFGgzz7EB4AuYf3hXcwkcADF9FlEVOMBqKqZcY7s1powVY5cYh8AB9oNVWrw+skMZYKwYqT6ggBV7j3YrYLrMMAu8FsHE5oEEBUWh+FOeoN+tU6rEc6xY1ZjtkrHWIuAWt4imZHQmtvvDlClADIgSdF35h8Wvx/+X1wMmIqieS5BAiXgyhQEDGAr3weyjyIr/L+fklzmHntOzve4TrOomCtqQPTtgKvNcInJPUVrehY86VQnGlXmO7QpQkSmuFhFwFkotaZ1rpJbXR86eLTmlAlkLijxSWuSE4uKuwRz/9bpZZX5EideG4fU0N0XbeWeVasktJxwdi4bdWT7w0z19aix77tlYPPz+WHTvsPLpxq5xL8fy6dNiWTLB9qsuL8A4Z/edo+P2IbHqDR/o+l1ta+3Do8lUwAVa/Hln94EYcwiDwUyOfqYyuWoRTL49YEJoBBpeSAHhh+HQtaXp6OwzhoABL/4/4FTSIXKc4AX/EjAZl+ev+f9cAzMBMPx/Ej9tTLfB3LkJPtbw99c0lH4RS+YtlmQRyuGr5VExsZmYQKdm+gAdfcCbkNtbWfP/WXzAiekDdACH6wEiJhLQARLMXtdgivOj1UwfwEFh2PpW+f+YSBUrxmr9ans1MRNRbSZSCSb0sRAuBVuaqtLpFXsGJnyPIpjADsA5v+OBietK0XBv8v8Anz73WUznVFqeybGYieAEkw2YYCvAtl8+LxMQoAIywK+qia+bYVDAhULBHEW8r0vzD4s1P4BOcOuxOVVhA+8PiKscgzX6UJA+IGEcgKn8f1U1GgpPgIkC0Uf2AIw+snd8gg45qyUdU1pMcOcDTvqwZbmAFBlWrI/s6XOsoAPzvETA8zzeN/8jhq2PP844lbgpRrtdKp+gr95V+X+Ut6rc3pk6epQfQF8bH15PS0sBu9n9tiyfb+x69ZXoXbAglj7yUPk+bctJx0bLKcdHSzI5H/JuPem4WDBoQCyf9Gr0LloUSx56MJr2SdDbY+dY/MC9sXLZsr4z/+62tffhNcnDay/a3cICCIob0sAcuiWqmS++RDVTGJhDMuNpQ74Vviphfb4mjA3A2JMoirdLSSaeW7aGiWDa5G1h+SCMskwikyPSnAC2gMNWKiAr4uj8tcKUv8xjMClmI83K9JQmsNND80rtsz++bHoBFIsV6DDXLETmECaK1WA6FruoZmE1+acxgA1zsbsAIBFojEgfcKql5zCxfJtVH4ADMK5Z2w7ly2ieASC7D2xX0jF2qg8IAx1mE3MfOEkFwZwAsHHAqaRN5DipOBYcfyng4GDnLDef5pAD3rgqmNC31zcXqsV5zguVGY9li2qKbhsHTICOogOVGV9VSVHZxD5eLNUi/udrG+Lfr28spma/vE8AYSvVp2+sKlFj8Zjav11X1fADEIAC2GBEIp3VDpgq6Rjjr1U6qQCmSjDG8oGf/cMCGjWWjQF7ZuO+e7u9vn0+wewrCcb5HNwS5uSZtA48+/p3zCn3X5nYFct2DX3edy3BGFBK6KYEpZ7wuVYsm8nek6Z4pRg9sxJe3k/ZPeMD5fnesFcyIJjiucjbezFpVy5dUthc41abFnDr7VgYPa0tsfD6a8onHpWM58Nj2i684ZoyZm4yOh8JmnfEwYXxycsTvS3fwN1zl/LVtFUrf7cjuWvtw6uZW2qcETiLmS/NB7GLvyUXMfbBD8cvw9HPF8fk4VsReQQm/CaDi/9PisTS4n8BHiXfKpkEwcAWgM6d06RIVAnG/H/OKXLJvN7t0Zb417yXP0+w+2IuxP1T+zLvsB2pEtI/+Ahvyt8xoyqhsxg/f1NjyYtS8FK0sxb9vPKVxQWwmY8Al7AS+A1SoGvJxJ4DmHh+C4XZZEFYLPosMgsV8zwjFyRgp+1FAp2P2c0PJ3Jt3KRkE9X2PExnfjIVoKPiSOXDU4ASU3YN7MOxFhD2gjnp48MTTAIk/HXYjGdlstv6hJ0wxfkJmVn8f/yH2JHrCiZQWrXKJOsncEjPYf5jREDi4zlXyin9Z7K5L97S2Bd0aSm+QTsWzCHGqJiE52b2YUie/yODZsWnBjfGEU/NL2BvjjAsqTgYK/O8MuP5/+wJrnx9zG7mvvxNvjQMSYBKXyV7Pclcl5VgFMXAPKdQRNQxW31YPR9eLZAFiPieHUuhyRPdNPv9vz4ySBkpUFF8yimP1R7eqo/crb4rZqu0Fu7u6xO04sbYKgGvFgHnHiBvn815cy/Kwb/bBqiaDzuosLjlmF17e7K3y0uAovWMk2P5hKqvt70tetvyl3/2tMwr7G/uPrvHnJ23i87Rz5RcvUW3D43Z228ZC6+7+n0vM/9ha2vN8LAR/hZ107CZpiW9RRgrHwzfyq8zk1IkIPs4sEXACDSzkEPafktBAgyOSan2GG19YQIHjYmZ8AlihbZDEULAgc1gBd9MtvGRq6rqtVgP4GHqELz5nb2xcPnK8vOtBn/nZ2Fq0Oh8RLSwSsjAmx8HqwC8h5ZgQrXRH5u1MJnkGAj2Y08lIAI0wIBfsDKH+qKVCSalLlufmQM4pD5U9duwi6YCCO51VLIdAGMcBgNgpOIop2UOFJ/ElJl2ggRYF2A1jvIBHOYUUzbvALnsdkkwssMDUzavha0UZlJFNb2TYrLnO2La84cxxQEMRcOcxbydzziVof2k+Jz67MKifLxrbItp2rKsNxbnPPu15Vw359+xHWYmxsNkt5caGxbw4na4KJWGd1ux4mor3pBUfhgWhYUpb5WWBIChKACM9yNoBYi8Z+BqntyjcY4tfalk+fpqTJnseVaKrDLPK6Vl3iktMlGU29jqI+OKyVJ4tWT0H2WfXTGFKefcS2f5XsqAd+ybvd4HBkwWq0BWZXbz3zLF/+naWcXdYP28Fx+eaGzDZhvGovuGJd1bGUseGRGNW/8iWs8+vXycW/OB7iUjHiisD0BqPuy9OI/B6lpOPSG6Z86IFbMbS/S25bgjc9zoMu53ta21D6+WPkJIRubLBz60LQZgoVqcJXCQC6Pmg8F0LHqaTxCAv02awyk5TkSLPw5AAIVjEzAIMJMFwAAd4GYRuobFLnXB92P/csCMkvBLWN/t9/0M57cBuBbLx9IsU/pbXtuYvO6zafqoZvyjvGeObMILUCVNM31q+X8ivoDI856bpqEFLFpZAxPnN674CdPcBE4Wn4VpFwIgsthL/l9fH5MW25WKYxFayMYpr4TB8NdhwLV9wsY5n72+v8jjMG35fM4HQMrWpxzH7K5tfRJtxHaqlJ2esiVPgAHo2D3DX4cRAThl8X3F7aCRbQWcBDPeSxM8kGaDeXnHgIHSULGYK8R7pJRKKk7+uyAYU9X88ethUxSjogO1AAOZwjBtVWPu6jPHAgx8vd6bYELtemQPCxa99h4xYaBNcWG50m6KPKYSo/QoOu4DfsA1+f9qW+yMo4xYEa6JkZNhIMf/x23yXn14K7s6o+3i86PhFxtF1/iXC0trH3BxmqtbxLIxFbD1NM+NtnPPjFk/+2HM+OaXism6+IH7iim8srMzFt12azRs+fNYfM9dsaq3Nxbde3fM+eX2pf93ua01w8OQvHw03odYmAeYkSRhOyCYTYRBmgUfDCERwRQRlW9V/CjJavRhSfos6rJbIdkboSHclb9FX7UzQUT2qgkdabrMLd+mqH1GsfV9qKaItdmyxVwD0vIAaXiAJaoIEAQdAJHFhB3y4THPgQYw9q1VoIN5WNDMH/8OnJQ5AkQARd/spdX3WoEaX2gFMBXTcU2+PuWXnO+avD6z3nWwA6xGXh8gwlC5EphNQI/i4SMrkfLss2ldAEjCK6bmOUqJrT4w0VfYz8tVVRM5lMxuAKP2nMq/Pmb0mRsbC+vG4t6P5hkoDN/gWO/CaQWQgdNLrVVyMlNcdRxmOEABMJiTQBQzHmtk0pMp40VSmeKO+U6a4oAIcAIyIIeJFf9fvueaT9D2POk5orpYm/QczJtrwfPrMx/YHiWrj+yTC/fHoqA8gLQ+4KnPs5nXHUZUzLu2o4ZVYI6lyyx7lyatxGIR2cbttigf8GaGtp1/dsw76rAqty5b56inY/pXPhev/uWfxMSP/GlM/czHo/nwX5Xobfn358fEzB99t5ix2pLhD8SsjX9cvqL2u9zWDvDyJ8WEL4sfTNlwDM/CtIMBINCkEjVraROilYSGP42ADJtRq5lWJRPL3ypbn/qCBEyZWuEA5g9Q4AO5ecriUl7Hl7A4zUUfmarvR/NcLQmcVyWQWeR/k+zRIuRDAhJXjK+CCYADAyPUzECLUDb9w8noPK/ILaHGxphDilVKwAbYv8xxkrABICd+2a+bzIQDn29OZNMCxmIFCQA+h7xFuHf2UQjYY630Eb/emFzk2ETZDpWLEHvGQACFKCmFckiCBfbsfNJt+PD8m5JbfHsWoj5/OpfteQDmi7fMKR8/8onMockMmarvZ2te1lOYHNDjk2Nqv1YkIE1NSlBQZfsR88qc9k+Qr0XPmez6ADqz+cGGzpKH+aO7mvMdVAqKPIpMS4LnciFT3p3oPPeLbXfeIwUl0s1ULjX8ltieJ3+0UmQCYuSbH7mmyKTl8PVRUMbUktabUpHx/3EnyDN1boqM/+8LOZ8+UclP+G6DFsunTIqmA/aKWZv8JLomjI/eRR3RduE50Xzw/iUCq0lCnvnj78Wkf/5oTP6nv4np3/hi8e2tmNNY/n3Z00/GrA03KLsxtI6bb4zp638t2q+4rPz9d7WttUlb8+EBBj4VkSpsBYCVHQcpLLQh04sZRei8eEIzaELl12MSV+kQPSEdAkgCCU5e2hBwMPOYhUxoi53v5S+vmFmijpzUH8QG7PmdK4ujXQBkmwebCxNlitPUwAT7EU2U9EvL2w7F7H55flcBEVupaubQuD7Th4+oSsXp8wnmMYBSQAI4YRxScZhmzgF0nm/FOKrcPKk48gl9rwELtdD5ivgJRSEV/3R/mDIzz1ztmowDQFeRyaqPC8K9YHgis1hISRJOpijgAGCY5/pc1xe7fENkSC7WD2rvZ1sX/y+mO7d8dUwUnGIjF4CDEqT0RMgxUaa4gJWteKqVCHZQfBumnPEVY8+OVeK/+P9SHkXFKR4+ySplpwo6AMXCgHOepFnVIuXGlQh4MrTa/t9LSrUbiqwqWqGIAf+fdyZjgGI0f4ItlHvNHy0HlMJzL/94TWMBy/fiw1sxpyHmHnpAzPzBt5OpPZcaemUsuGZgNGy2USx5eHgZs3Lxolh01+3J+g6Npr12i7YLzqnM396e6GltjQUD+8fsnbeLpY8/Wszc+eefFdO+/oVoHzSgHP+72tYa8Di2mU1eKhaDzREaAQZOdM5b5gqTi98Cqyn+luyjbZmMkjyZF2UHQwpI2Q61GluxgPllgIE+OVr8awTMQv0gG81NiAkuk4awVvXWqsCB7VAAi4k0KZ+L6cOvB+z0VVuf+P+qoIO5wK488z5958XmLKRa/l8FOq8HHXZ8qNq+JNpMecj/kzBrXigDyqPm19swFYiFW/x/uZhsh8I6aukQxvVLBYM5lWICqaCwFuYw9izSafHL/+NjMsf8glgkN0J37wcDdrW2bMWqoiQ49eVHcmNcm8rSvGNtrATPAaiLEkw5qwUYBD2k2ADpx8pe3+7CGs072fNuSqS8BA6ai6+1JBjnOH2i8UxZikxUnIsE2JM95nDx9aVicj5m8Og+edRH8fD/FUWWyodiJMtcNYJYlB7Xj3dhxwzlTdEPz3f5bgGvd0F7tJ52YsxIRsYkXbm8KzrHvhhNe+wSzQmES0c+VoITGl8es7c3AbD8vaU52vtfXFJXbDGTt7d84ivR2G/LmPqFT8XCG68r435X21r78AiRGmnMV4JmIZUvk6Ug1FiNnC5+PQyGH0+fqsYloTP/LteLsEiHUNCRoDLjRLwwJ6yGYDHNdk/B/dM0Y4EM7fpBN6LoOkxO342loZmhVVSzqlas8CNzSA6W9ANROEzVIsRIMRUsAfMFTlgvtlH6kn0w45lFxWTPBcHMYe7bE+xbC1J2+PWwFf+G6Vg4tlA5FnBhC65ji5Rot61Xzo/9YMque81E9frsamguycSOlXTsfqtiAhXztpXLQvc+sRSAZ+HagbIuml03PvPILwzE7U/2rQ9gQlnwyTHtpdAAE0CEIUvFIVu1BPWaGa+PgsKMD0kwJVPOoW9sjiOvPk8pcEFB20KIZTuWT5A8Yu5YtmMpssK8s0/SMWUgT5H/T7BEn3FcEK/7/6qIesnhS9B1b5QdH967tU6km7RfckHM+M5XY/aOW8fSp58o28OWPDQ85uy6YzTtt0e142LihFgxa2asaGyI7hnTi9+ufeBlecw2lT8v+1YuWRwLrr0qpn318wl4n6wHLX5TE6nEfJS7+XoKnDC+RaOaRqmZli+Zf4u/RYIxrSbtRJqKvZoPzOJvqUCCX4YPBpgolqgPM+EPsy+WY/3PBkwvGfxy6T5otlFrXamB+cgkKd+egKPiCeDYOu+xlg4B4JiITG3AIUesAo6+JOEETcGEWiqOhew5lVzi3LaAfWHffkv+JePsOsGU+a4kztoYL4pdMZhqK56ADl+ffD0mt8WJPavXp4KMRcmU4uujJOxMwEwtRAUBKBmA4Mtk6ulhK76v4Zu2Agf8pV+71acqF0YPSr8OWle+V3MnECWBGSvGzDD8X6Z57jkwN89qbpjs5o9ZSfYea+wqDMo8X5DjKB6RXHLmfQx6RfS8Shzul/LovUkcZhLL1+OK4WphzmK70m24YvSZj+L/y3HF/5fMmxlNBigbwSTBKOOcD6BRWFVOaaVQmOc+O/pe99L2zp8fC68aGLN+8v2Y/q0vR8vxR5VcPGkofHPzBDS22Swat94s5u6/Z8w74pBo2n3nEtWdjdmlOds9fVqJ1nYMublsMWvYctOYscG3o6MOeG/dMDxFHvnwbNXizPfibWPi0OW8rflbMI7q62LNcWuJViYzSaFQhYQ5xRHOvOKXEawgdMDEsSpR8NUwJb6bCxnYYIbrsonO+vi29A2si7ZnsmMczCEmjaRaYGIbEh+a+2Ui2VvL14dVMLmYatIhsGC5aBawAIJggoijemsWKwYjaDAu+w59qvoAtoojmA62hZm4rgg4Mwog1L4uVthznl+qDb+ee1G4QGKycYCP4gGYzG4fonGvxskpY2IrC0/p/EcqM4t0XTYBBYnJFAMgl7vHiuB3w5QpDwwXUy6meLJXypK8CRAIaAl4GQdUJAgDo9uBTvaVajcpn6XWX5888h8ykwWj7phWsXHAhT1vkzKKFQPPKyd0JBOvFB7fM8YPMFk3AnhK8avYXCsmoI//jyuH8sdYbW9UvEIy/rs2aRPwFgwcELN32jZaTz0xmn+1X0kmXnzvsOiZ31pY3eK77ywma9tF50b7hedF2yUXxsJrryzmrh0Zy6dNjbbLLirlo1pOOCYWXHlFNG67eSzsC2L8rra19uERAuAkosYZXn1Ius/fkhqUwDGLRKr4hEpfCggNbVGj+tImCIPcM3694m/hW8m+KsG4+t6CrWPSD+TdYS3rsg1PJooN/f3VDWWPLnMI8PDHMF/kC7qnal9vlThcAx1mVwGYBCyViQEi35TncCyfIGDHVor/L4+tpezYusf/Z15q/j9+UL5PYIfVmE8MuObXE9V0PgwGYMhhuywZI1aHVXpXrmFBUjIi5Zg3P+sVJcqerCYBR6Tyo8mmN8rF7X7XZTOPLARfdwPUwGn1ogO+dsesJ3vAEDjVAgy1ZGIMULQXM+uXz8cfCrDMmWeVRsX/B9xrQYdaPql5vjBZLWVuXqWgsFKYrkCs7KghozmufK0sjy3+v5yn8W1dZV8thcL/R06YwMclowaeAl5cCOU+34sPLwGvPQFMpLZr3NhYct+waNrrlzF3vz1LaailIx6M5QoFjB9XSrtjfZ0vvpAscEL5O1anCjK213LycdH53JhYNvqZEsSopan8rra1ZngCFZyxXp6XC+w4dOXbFVaTJpJFDQT46iSb6uPDs/Wp5lvRZ48r1gIkSkJnghtTpdrBwESsTEnMh+CuywaUMQw5cdiHBWAh8E8Cb8zW4rGw+GZocgvJIrPZHtjZXWBhlu8oZB/GxhQWGFGteMs8v/mTskNRMK9czyKuEnwlGFdFQgUx7G5QmQSD4Wfzq/n/jMOUN753bvEZOp/tdNgFRiQoMWcpll0pKCbb3dMlHVd7go37RDIsjMriBZbrsgGIvR5tiW+knEg7EsgCgu6DD636Al7FlMkUVsqHx++L/Upar6qVVF8mK/KY57TzpebX4+fDsvVJqSr1+lJmX1Qpu28cBes4lXEoOuer+f9cA/Mmy/zMAFHtQddzrMCFPizbvmSyTIEXP2TKOzbNDH4vJm3bxRcUX93yqVOyozeWTxhfIrGqpthfy0fXdt5ZJRq7IM1fe2oVEZizxy4lmtu07x6ldBS2ZyEvHfV0NNpedn0d8N62PZmshE/pE4MbSqIu/xFmxvFbJWBWnzRU9YJpsnu++O/eniykLwopmoZxYCbSISzMx/tyq6ScyOvjv7JbwUIVOGASMl/WZWOW2uEBzIEyZiFI4ONAnP92Msj8l68nR8tzVNuhqsKoJc0h+0SxAYzoKXPIsYDc3tx+qTQEOfiIjMPq7PQQmTRXfH3MVSbS8IaK6egzn8WvJ/8v50pfyfXLeRUh5oi340BfYTDJTDjYsRUL0zMZpyaeLW7GmWNOd+Nr72pdNqY9YPe+gRjQAWSUqnsWQWWeA0GsmFJVoALAMM/NB4XCZNeHeSmk4NkoKN+HNQ/mSB82R6GUb3Pke8DiRH2LPOY4Zi53BNOVPFaFA1Jp5fvANr2LYu2k0sKIr3hFtLsvaJXPUfP/YePGsRZUlHmvPrwCePvsFsunTO7rjehpmhOdY0ZHxx1DC8DNP+v0aD3lhGg56bg0fU8qgLjg6kFlx0VXsr3ejo6+IyOWPvNkNPbbog54b9cQcS9UMQBJlBeNrZy8VXWIqhwSP52gA8bBzGWGiCryowyZUjl5/SphkG9VJRhXtdWqiiNyrPhk7LekFWliXwlbl41vztYyX4tXZIBJWduXqUadxcX0tDhs/lcJBrAxxbFgTnfMBLADGMEeOXEVwMwthQMsSotYtRnPicHYg8lfWfx6qQCwW+ArbQLztWvgyGQrzGbFP4Fy5f9TdEBfxUwcW2r95Tg/UXHHClKIftuZIMWGWYd9AAnvRMIxUHgpGfa6bNJAyIuUJ7taRMrlx1EqireSCyk2THFKhXnOFOf3Vfp+s2S2mLJx+igiwQQ+Yn2KV/i2rkIB1yejZdpLCOZ75he8aXKeL8cNTRlVSMCPHxMoUmTAmNyKrgM26TxcAP3yfpT5dw2+Z30sA2sC48fyyff/ubqh7HrxDO/FpH0N8CZN7Ot9va3q6Y0VDbOi66UXizm79InHo3PUM8Wk7X2L4gAivXXA+w2t5sMTjGCiCb9L7JSaYf8mwKINCRkh4iC+JYUKC+E0tr2KMxjIofkir3w1xjLDMEUmH2EVYePLES0VuWTirstGiL98S2P832SyNcASKBA5xcSkTSh9BUz434BdKU6afWr7iYgCMaYUVsKckmMoil1Lr7DIgRh2Ue3p7HrNT+hY/yawAQRraQ0188p1nJv567sQ7oO557usjlUiiZuAKS7lwnX1YU7M9f0ez2PzulgfM48/Ebuzg+Z7CYKc7uuykSXM6PC8V1u5sFopOz4ETsmQLaxLMItZTlYEw8gY85ySxFiZ+CqnkEf5hkxi4LT5/S1FTgXLHAvcnd85MW8WiT7nN46fU8Iy5o2xk3cfLKIY+A6xOvfI9ykJnO+QO4APlX/VdjeK0VqhBJGB97qX9jcB3ntpdcB7B6348NIktSAl59pBwLQgXGPSpO1Y3ltesgiu1AwMptYnxUOtNIuwZVlPMWc/lxQfsI1PgGhd1lv8Mkro2K5V7VboLgKpT1BjXTZpGf/n6lklNYaJaOEAPs+Bcc7L+wXahBnb5b/hX5uUYy0EEUfFUe319cxq/X32psZiNrZnH4CyiPirJCLP6+wp47AQzyvBWNURTNMCxDIlItviBexEITFg5lVtHAf5F3PuKZeFOe9SXiy0L+c4pfCXrugt5jJAtJ3s+omLyjh+R+xDrTsMy79TQOuyAQ5zKypPprAz96+UErPSvQEPWxs7lq+MgeMXF/nB7l5Ipmue5byRvS1SYYpMe7azX+go82nnhJSdBTmO7LmWjxhRAHOXSvdZUN5jv3wn4/I9tHf1luIWjmUuY8+ugbV/Mt/tnqnwWDJ8ucclk/7MjfyO84vCt8WMMvpU9vFby8OTZC9d5e6Za+HDqwPeu25rDXgYg6oScr44luVNAbw5S3rLACbT3yVQiEoxd0tfspK/Gjiz+EAIjc3TmIoaaTukgC3oWhmdK1aVTzV+9KpZRcAACmFi2mIdI9cx45BwLGK5X5qyFg7TBvP827w/G8w12h7I/MM1DSVSujKf1SLwXda/y3HYgYYZSkkwTvRUw9ykp3zsuoZQgy8nqgCeWnf/dG1DYTQacOP/UVIJI9bkmAE7QQZpGZpxwPMTNzQW8NCYhQDQArUdT2NSKcz5n9kvmKI92NBZFuf/vaGh+GH5n9Y94C0t71mdvc+kYhCs4hbQ+IkpH4CHnWmKlpIf1gFZWd67qgDU3+Y470mAxvugnD9y5axipjct7Y3eHMdd8NcDZ5RdLsBzUXdvAtP8+Ei+Mzs5KBA5n6qdkEeVV8gtZsbi+MuUZS6Jrt6VRVH794/mNbDrzp6VBSyZ466LfS9NJaWIgHlVRr8OeOuuvQ9Bi6raBN9WzT/FX4GNXZSsCP2Xs8Zpz2wrfclG+KfQeaV0pFswO5iFI3KxYTtMK8DJ/PJdBpEupuI/XjOrVC22UJnU66IRWoBsLyn/jXLk8uYsOGBv0z4HuHvl2wGAGJY9lfr4hc5+YUFhqb7HYOE41jPqk+/GGc8UEyCQBCzZ1Vwy8TnZMQruAovJXAFUgCiSSyHwmUrrUS6fSaaq9BY5f9gQhsKHykQVLBEIYgYrKYV9UkZcBwqA8kkJImHk/E1Ms68NmRPnJuADkXXRlqayw2g/etXM+HiCHrkQVSZT7t3cmYe7pi8p86e6izlRaIFPeWz2UVDAb688luyRKcwZE/aJAEqAu8B8k0f7kr0HbgXvD1OUV+mbwK5xZsqoHS7ep619o/MdFRnNd8sl4f1zIXBduD+MDvvELCl9MsAlQRHxl7o3eZ3M7Drgrbu21oCnMggn7L8kC7FQLHTmnlQGpkjleK+c8RJ0a32ESPoJB7komVC+DfHSAo4bVX3UWGUPwutHkGh5aQFyo6TCrCs/Hv+V6iZ2lAA8gCXvSoqBZ5UrV0X7+j49maxOFM94uXKlTNCSag8sVstEBE4c287NbKIsMEBRQVn8fD8CIUxPpaeAGFAzB9ckEEk9qflPOe3dV1UZeklhNFXaypLyQW1+LMApyl2q/QoO2baW5q2FaAubnSHSXHxYRsVnANOUJrnnwSb1A9N10TyXIMs/Xjur+Lls15q2sKe4QsqOlATuUc2d8WqCNtPQHANzvk0sW9CHf1MRV37VWk1GJaCqFJXu4jYpX5BLeRQFFtzhu+SesMNFJB5ISq3Cyr59e+V/pWTMQ61aNjkkx8aqD+heAJvtbZQUX6yy9VXayopyrGMkHlMkaha+2/JQdcB7722tgxaYlnwvDl+C6UUTILlJ/Bv8XUAQyBEufUACCPL7MeMIbUnabV5eNnQTEI5qzmlRTwIujw1IcGYTPKYagf2gSYfKyIIPTFV/CgpgnsxJKQZMPc/ORFWaXsQOwAAX/UxRwCEqKPkaAwQmxvk3wQ2g4yPmgKhWJhzbE53kB7wqTVzRU+wMgylRwYlSWZoKCNq2Bjzt6TUOgGLPSs9fmoBlEQr08M2ZU4nggIMfUaoQnxL2Y5ztbeWrcnkNkWbmM4X0tSGz4/hc5O+WjbybRp4Ah2fn8qAwyjc1UqZKKauhVSkrtRYxfgAjRcVX6EraSoIWa8JWOx9okuCNLWPKnoPCNU+KA/CvkcfafldgSWnZkqcwwZQFVdCHPDpflTLVUwI8EuMBakn6zvOZr1quJUbtcwbKVnHPmDt9PtnoI1eeyTsX/Ra9rQct1m1bax+eZNv90mzY85H5yVAWFxDzQm1K5+diTtRSVLx4i7Uwk1z4UlRsE1ICCsvgoBfGVzyzVsUDMwEwHO/2JjK5vp6a8a8GzvjAnel8LxKIRTSZVvIM+Xn4wiySy9K8EtmUdA10pB1YGEBH8IL5akEAb2DC5KptR6uiu9U4VXztCjg1WXFhJrlAq88E9tXAy4XJV4StWNi1cRaySC5mwg+FdTKvKBP7Yn1t37EKZTLfsBP/b2FSGsxaLISZ5p6BCTZtnD737PrueacR88oWM6YiH9f73fjXsF2MVY1DJqpns2eY5SCIAogAFpCQskIJeQf6vJPanmx1FbFssifIhRVjz+SHvDD1bT+rVYbmgmHCiqq+luCdcgZ4yahobaWgKuWm31ZJfeRRQEWKiki+961aNCUmYsxtQPE4ByaOuWPXANx5rIU6w1t3be0AL3+CFsr5WFg+9MIfhOlIDPaSAR1/BQEimICLEDG7sEMCoi4eATRO8U+CVL6BkYKqIgnBFe3SR5CYhee8sKAApAx5ibsLlr+/ixCzAnaqaPzNlbOKo1+eGj8koDgpTRSL8HWTvfq2LeAAOpgJ4OC/wWJtxpc4y5QHOlWuXGU2vQY62Xdssij5dI6308Sxx+Y5sBW+H4EcQA/g5Oe5toCRb9Yy25hXGMwBI6utZz4JyJQCWnsn+3EsH5U+7w6AU1CADNPDqKtyWBXAWPx8kTUgwvQUdOC0f7+aOngUn/lUvVoOHdm4ORlwv2RJ2DJZci8SvckAgMKQyQ/2zA/nw+0AhvzIwaMsgQoz30efuAKAH/9k7Qty8kSBmG9lCNpwFUgzIbcUNZaN7QoyYPe11BPzJyJORovCS7CmBPlWWTzG1cpWUXi+H8LsLnXx8h35bi4fniBT3Ye37tpaAx4f3mYpLP9yXUMRTlnuBFMJcCaDBaUPq2EC1PpswakxGL4qi5YJweTS951crCqACGrw/506pqriwVwelwABTCQCM32YzxzshHBtTS5pDxKCgcLnbmosjvP/O3h2MYcw0Zp5DkyY53w8wEmE2j1Xfr3qk4B8SLbLcW5bmMAEo8Owzk3Adr/YHQbDb1T59bpzoSx9zf/H/KxVkMEOABbHvYVkQTFzgawCqxVbqVgNBmhObFuTeEuZWJw2yFvAWA1WIlIIMHyzwg4RUXAAaOeIYyXjYirOqQgBtivSq+ipvLS1DWR4NsnXn865FlEFZoMnCpYApyqR164S83f5uGoHCTCRB2n+zJnnNzdPzukq47wDzw9gjMO8z09GzVUiOdxH0YGOceaYy6TyPSd7znfq/ShPRXGQW/LIJK5tWyv+vxxHydf6KDxpWRQURVZ81NnHnyfSrtArJk65UVb/eE1lMdR9eOu2rb0PLxeYhcQUtaMAiKmPV6t3xwST71RjgbU+AlHVDZtTBKo4flOQCJD6YqJiBFrunq1DBAkIAUTCiYXQ1szE7YY3xxdvnV0WC20uN829vdOlaJzSR/x1zGjmNgCX+uBrbEoVzV2qlBWmU+13lbwKdGp9TCnmELPJ/kiMaKO7q10lgIPfDrPFHPj4gE6tz49JP2tRtUWNaSUi6F74/wQkan49zISvzzjX5BPEOLAaAGfXS2HKyUyk8TDlLH47EowDbBgM4GAW8jXV/HoUD/ZsB4nzlSBBvjMgQWn5XKSAzd9fMyv+9srKx2ZfsS/BvVvc834wZcGgjwyaGf983azyLn3vw7doKUZmHx+cRF5Rcr40wEFWAEft267+pACBjh0m5EeQQMn6GnsGWNg214FIrPp+vkWrjl5NHgE6cAJ6rinCWvkE55QgnHmyBc99AsqybS2Vo8irXFEyKkCloID5otzcny1q3hkWuPujVfVpKUNb5fx7J3Uf3rpr74sPDzvzs6NCFIy5xhwiIBJbd0iNTFuL+AGJyt+CXTSXBWmcNAymgUVMu2Mr/C0WL3PXOH1SM2w7Y+YwaWhXAv/nyfT+3wE+G1h9oYrAy473rYS3ast7VhaBFTCw0ZyAbprm1N9dPTP+LM9Xyn8noPtWLuBybvftHtwznyVw4nyuBRN87AY4eRbj3DNTnLkqcGA+mD5SKYyT52UhYHbn5cLA4DjKzStQlDYBnMwvs1TG/jm50IwD+hYbJWORugb2KbBj0WGgghOvfRku5wozA2wUC0VkixoTe3X/HyCyDc0C9m/F7M4fcACwTHfVj4E6lgKc5caVoEg+W+9bEJZVKTCc96LV3g/G/j/6zyjPp0qz1Jjd8x0wCaUqASK+TABDpuwH5pvTZy69Dz5Tz1/7topdL2oJ6jPXEsXNFdnzLux64HahZLBD71GfPcveBzlzrBJPIsTkVh9TV87c5imPshIoF2wSezYnzGJsmHzbgkY5kVH+aErw1uzzd0xZpJwPtVLQS9/190HqgPfe21oDHj+QKrLMCqkEfHP8ItgKh66AA4Di5CUMJRCRAEZo+PpoPv4bAkIAgJhjmV6Ekh8F+wEI/Dj6gCCTzPn4aoALsLIgt0jh++PLpsdfDZpRnNgy5gk2gcdiJPVelyYTYDr2mbZSxQKDlHn/pVsrfx1TFlOwiESZ5Q4CCaYPE1RE2eKjqZlNzzRXBTox1bLNLFkBDc+kwQKwAWzWHlhgUn0msIr6VqXDaxVwq3QIZnzx/yUoYDpSG6TgCDxgPeZan7w0QLR60MFxgIwScOxxo7HnKjKJnRmH6QAT4MZ0c881lg1ABUPcMxDzXEzx8q2MPJZ5ru+O6VWEWVKw4y1k7wVDFDW13/W6fK/YpB0P3Bl+gBJQKdEv3UW01Pu9OYHBXGLtA8dX0U/9QEdwooBOApaKLlvmOyYr5IEMYNRl034eOzjBBDhJsSGLgIgi5sMjW45jygtAqFlX/H8Aqw98yB72Xr6VkXJr22Ppy2s5P2CUIkRp1b6LS0YLy87ripRj8VwNZJR88/+Zq6ocVfXNWsoKy7tmwuKS7PyuWtv8WHjx+TFvn12jZ3Id8N5NW2sfHq0OrP752obi6ynmUJpSl6fGVimFb4Wj1iKRTMo/wryq+VswGAudH0vIv9Yn3QDTkW+lsoWKK8wDoMNnRgtbpBZmCRwkg9FnS9eXbplThBMQ/ufNjfG/L59RzCbbsWw/+osrZsQfJSgyWWl/2lZqDIYgNwq74TdkDjHBbbs67Kn5CQjVR7YBTM08Z0aNz34b9I0TzBAhZQ4JMHxraGVK8XdhWZga5mTbXO3TgRY9Xx9WY56ealpWAEYuovuyid0c1ip7cIzzJ0oDcs/fu93Hs6vK0PL/sBrXwCKZtRajbXzyF694pQIT7wlAqQCieKYcPsVcKQnARuEwpy1uAYKa/88CZi5jdRY2MHmwYWnxt/77DfYaN5ZKvn+fc/sn/afHn18xs0R3zft/5L//87Wz4m+uquYda2ZiMtkpMufE6kU1KSYgUczzZNnAzniKR7DK/QM7rFCwA+iwHPgEKTggTPawN0wZyyYrALnm/7M1j0+y9PXJo/Qc36K1wwSTBIrVV+WqKPuYVEavpgI56/nK3PcdZNFkqSinjFlY5p3C43Yhj5g3E9uui5Lr16fwrBe+UKxwybtkeKuS4S1IwGvee9dYUWd476qttQ+Pk5zGZoqWSFUKjb2EFjo2gtG8nODBNPruHXNeS4co/pb8f8AmsRO42HKlj8+EUHAsAw7+lqqyR/blAuFvAXKEi8MbMwGCGBPh50cBWBjANxLAbNfi+2F2MvNsWfpY/pQTApQVE20uJmHNfPEsxUTKxY+ZAATaWYSvmN05bvV6d0DbImU28Wsxcy1Y5jmTxjxhEtiKze4Wl5QEbMO46gPY0iFyXLKLqrLHohItZiI5TsUO9+oaVV+V/8isAkTAx/5M18GklZ6y2d79VhFHx1ZMGeAADsEQgOC5jQN47suxQIL/zzwIHAAYDIYiw1ZKQnD2AWU7bYCqY80zBv/nqViA4s15X0OnVgUkJNzaZiWPDsu0A8W8UwRYMcUgcRjAYKSAQ+AAcFAKZMH7V+FF0joZUGuxJK3n+cgZ+ZFA/GJrFfDS57OV5BHr5gYhh/bp8hdiymSS6e9YSnPc/KoQBN+zeyGPwBkrxoDNgXHuzflWL1vF/0ceyShQPJspnrLCJSG4Ze4/m0oBA/W94dWrpfg/gbO5+d6951/7LektVYKmzZwXL140IEbvf3BMfmliNPTEm8fmj9/5nX4GoQ5476AxaWlVmm+vfOGc8QSJ2cSU85L5k7CyH6cJd1YKNwZDw0re9OKZO/ZI8lmJ3upjegKEEblwsDRmgwRaC674YIpvpfrmANPCIqsq9ta+Q1CVDuLnsbhqScK+L+BYC7hmvgzLPn/HYuRPOdZzAA0mTe3DO/osXvlhjnW+Ut0lFzawrJ3PN0+NY2LJt3I+fUCtX96jD/1U/r8clyAGGAGka8gp49fEOACkPqxYSgN2h9V4XvPjWfn/AC4lgx0CLKaSnEDjsJVSdTcXnjkHMBYkU9w4eX0WsYXLR2YhM2kV1KQYMCJsVkS9SrGpwMnH1ZnX47LP3lS+r1J6KvtErTFvgRzmL9Cw+PnsLHCpM5it/lqKDaY8NkEHkAE5LNY4ShHgATkyBXQcK5C1x6NVAu9p+TyAzrOQQwDtuQFRDWAoLUEw866P7PHNYW5YGNdFTR6xwykJuiMS4PWZU99pUT/QF/ooBEoG8JNHCoNMeR/eqXkne1XZqqrPexSgIlMUD5cPf6n/9+6X9bzO8DoToCiQX+Q9+9yk4g3kwTrYPpWMP/vd3RBbnPdQbHbskNh2yKTY4fGqAG/tZ7zMiX7kLe/Z1sjf1OqA9w5azYfH72QREQ4AMKiwmsr08b0KrIPpURMGgk8YfLELSGAjXr4SO6rtMsP4W/j6gEmJaqZw6cMc+GF8z0Af4SFIfIUitI0AZkL1HQKMwn5Lgm4cRrTVA77iX7Ea4Eh43Y89qQ05jvOc8Prgsw3sFoT9pBaDzHlmt/NhkRsKTmQfgKl9m9Q4wA2ILE6RTuwP6POjWZyUgXHF/5d95sUCt6iBjgUNnEQGsRB9FaupzCHghM0+n33YrS+9uQZlYxxw4s/ELmxjGp9j+AUxHIBQMe+qLt7BACb7REExHSY2Nix6DqQABxAU5MBqCvPOvtGilWnOuWf3afeDLXbuFeuyaIFEyf9LZQh0StAhn5USrAUTzA/z0nztnmak+6PcyAVTvDaO+Wmng+CWwNGGw5rK+3MN77OWsiOYgFEX5Zbg5F1i3uRRTh33C/OZIgNYZcteOV8tyl5txTOuMtkr5o2B+zsg59dz3SKjKXtV8KEax9enD3PHwtV4lODsPlgCnomZjP3JISX7q6dS+Zi8+/vLS6bHV/PfARhlt7NfAl71ZypyivvBKhBW+lb7lR0j+Q4UtuBOmfc2gbtaqwPeO2jIMkEFLHwSm9yTGiuBgznE32JhAhN9auDZF2qBGI/RERC+J/6WfvliaUvm5GXJajjcmU0WDFZI89Z8MFIDgA5Wgw0AEwym+GCyjwlSSoLz/y1YXvKt+MNsqOdvsYgxGAtTMIFvDbDZqsYPh2XY8wgU+OT4YPTVTHFsBpgIHLzY0l2ZUgkSUh/8G9PcRnzAYjsUk8o1+f+YTY4VTJCXJRiBMTmW2aZ46Jh5VYEBfe4JIL7m/8tj5QQ6nyAIpsaUAhzG1aKa+iQTW/wqIVsY5h6jttAFXywmc8rs1odB7jCiSrnonyBv/y+TiwMem5Igjq14T4JDfIJYrvdY6iAmGHjn171apdOU9JwcVwCGcst7UaWFkqF8LHbn8ydFJuLt/6tUnKrMPAVaAxMBhqJU85yShCktwIUVU3rFFM9ji18v74Oc+UiOOSCPwFQfq4T8AExAjGUXeUy5vSTl0TzV/H/mBdhSAICEMgLQshC+f8ecMq+qfgNAIO+rcrX8P+9D4Md7BHCUEX80BfGvKsGsoXiAiC3lskMCGr9tR3dvMXF//bcq8jFjaS/zN///Tf++Mt95VyERZMo8/aZWB7x30FYm4jG9LAYM48FZFYh5oZI8aXuLEgDQNJzBKlUwhyxYpoyFiZlUzuCqzybv4lvpYyEijhYh5jEu2QvgqQUOlJrCaPyYCc4nKdS5XvP/pRC6vmuKYAIO52Ny8ekwuaSy0IoElJkHEJhNhJ8ZOH2RHQxp+iQI65M973zYj4XgfExNC8mCshUL670ox5kTC8rCoukH+kxgmk2Stml9i+71bU4JMIVxVJV9sV192C4T+Po0j0WsMWUswjg7EirgqMZJ48FMLH592C7gqfn/LLJakID/D3OqMWDMhnnekMcyxSmjKhWn8v+p4uu5LCaVbfgOBUKKyZ7jgI57lhwtIICVSA+hjEQryQk3g8gvRWYeBSLMoZxA91cLUHknFJ4Um9peX2Be8+vxwWKd3mdNCXr3FB6/noCXd2nROx8gIXuU1rGj0mTP6/LRYbXkhYLiJ6S0KDyyRllJn1FJWjBqbMrjYU+1l6Ko/IRF9vJ8FJnEcwz45RzDf3hQkcdqTzmQJI/ui1L41I2NhS1ip6vn4QE860Hg49VU1u+1kWuZC3JXgfFvanXAewcN4NGCNBofHj8FRzKhZlKZdCYbH5IvvXvxBFWggDADDmaOqhc0IsevPpoSIBB2W3D4iPQVf0v21Xwr0kUshuL/y5dLqyvUSaNhIRiMxX5RH6uxQJk5+vhWmFd8arS5KORAuVV57B0JCNiKUkK2rfmwdbUHs/rMpNwqi4vJwhyqTJ8KsCQEM68Bh4/m6MNMpD1gF8X/l8caX/MT6gMcQE+wgp+o1icy6t76FX9MtcWOiY0lGVczz4Et8AMwDyToeN4qWunLcLY5Lcu5X57MZGFhRPyWylxNTbObiV3z/2HsFmdhzwkI3pOE8lLtJhcPsNvz0b6P5+SxNf+f8krP5DgMRuoJ9sxHV/L6EhTk/xlX8/8BCgrMO/OnPoy6BLcSdOxGoOwkHjPLHevDOsDKWIrMvWDKTHGKTA4oECNnIuqAEcCQKZ+yZIqTR+zfl9z4GgEdpaVkv3E1/59io57d/ZkL7wzjwui4Mqr8v8oUZ0a6l0sT5AEsVswUpwS8AwqPKUtxyGTAqDH4mv929aAFwKO4mfeskV5+o/fQEA3WEMCrM7zX29r78FLI+fAsNsEFC7ZK8qy2QwEYL15Us2Y28XthDkCHj4OZo49wMTP4UQCMAAEzp7aroYBO9vG3yOsDJvYiAhLXl94gpQHAACumj1LfNBx2A3T87pomSbgyu4GT6Cefj+vW/C0Aj5nmWOzHM7gfPiQC5Hncm2u/FnRI4QYcggm1BOOSdJwLaYdkfIBDH/PT+QgkpuN8FhqmIxOfE92i4xPEapjso3PhCwgQYKYZplNAJ8+H1TDt90/2XL53kaBgMWO7WA3zGsCUUlx5bC3SWSKYyWpcA7sZm321VBwsCcsGCCKqoufSX6qUnaocEnbkWMEMfWVcygKWdFIfq8G83INxVVSzMs/t3vAcFJm8NKDzWlQz+7xvvlHK1LxgfZSM+QI6zGnmuT6gU2PZ3CFkAMAAf+wZ6Jhj8lhLeGf2ugbTWNDB+ciZY22xo0zIGYWjj69Pbceaee7Y2o4aComPT65fTZFRSOTQh9b9uXGOwcjlFgJP70AmAwb+RpO2DngfXFsrwNNoPZqKD0+JJBUjZNNz/FrUQIezmIAAJGBS/C0pkHwrdivQjtI9RJT0la94paASOgBJqAEh84U/iYADGKzGOAzNOAJHuC0aeX3MUqzQwsA4LBQLy/mYrt9NExurAUSADdPhb2GKP5eLkm/ON0elKmAAlSlesZoamFQ12FaU1Br+OuYI0MBW9Dkf85u/DigAFscekWaRckZyujAYRQoKK05m8mIKuvM4VjIx8CP8rufZ+BWxZ6AlcZiPsebXAya1EklcCxYX0AEc9usCVveLedWc2+bR+ymMOvvMFbBtzMUqSGN+gY65NQ7oiB4CmKK0sk+hzH45zvugDJjTzFsKgRIAMMY9MKuzvH/vXLIx9lNTZCpD88k5liIDGn5MdnIBiLBzShXYFIWXigzDFhiT0iONR7S9lp6DhbuGRGQKFejcP7Py9wowuDfMvWaKY1/YpHL7FBmwUyyBQuF+eDSfnfzIMwXYwLJmivOZmmOMGnsGNLaVMYn1Ff9fyo+5VX1Hiag1+fDqgPfBtbVmeKKbgM0iqbZS9azmb6nSHJgSJh7T0cf0wXRK4CAXMFOEqcFEEq20qH0msGx9SuCo0iH6ioSmEGAdzBvHHpnAgVkAAOAATAQQMBoshLlEMPkB+QQFCfhbgJ1qxWNzjGCCcxf/H9MnQYi/Zf+RFbuo+f/4GZnugJd5Z1vW6Bynz/l8KLyW5gBg7KYArEBCZWiAa6EzxZ0PwGAhzoeZWEi2XYkGM+OlQ2DA6qiVKHYu4soUlzZRpUhYsPxqhLqw4hyHhYhM1pgJMxyzrVUc8Z74jzDUmv8PQzGOghIwADqikMYAo6HJlGd2VEVCnR+YuJ5jMSN9tZQdQSvM6Ed3NxVTnL/RHGDPXBtY1mt+vQQO8uOZyZLzAeBaMIopzr2hz7vgQxWYkYojAbsy2aXiVOcToCKLzFaf+1TXzjsgj/pqJbbKB5TyfJQD36z3QUGRAbtsXsv/y/dcZBQrTnnkP8aAHVvy/1Im7GShyMitXSYUFlnDkPUxz4spTh5TkQHefy+fQqiCL3WTdt21tfbhMRP4zwCZhXTqGKZZ5W8hHF6yF0jQSwQzAQdTUmoJGwAwxhEw40rfmASYXNTYSuX/m9vn/6v8MtgWQZfQOSmFTZoDVua6Agx8c1iIYpZYp4/nYDUjU+vStAVMXl5UtG11/32pD7moLDjBF8JisesjMMU8T21e+f/UW1tRmGvl/2uOq3KBSwq14LEaJrUKJkznkg6RfcxnYGLx0+yYserCJdKZx/L5AZLi/0sAojwAEZYD8Gqf//OxHb4gAGN/J2YL4Ixzj7VAhKIHzC2+TAwGUA56pfL/uXbNPC8pNvkMAFmfawBggPXLXHh8pBY/UxxDr0XPzQHzE2AxUbFB81yZ5/L/qi/2S8QVIPIeBRiwS+zZ1jnzjrnWgAh7BnbVFrsq14/CMY4JLV+PvFBg+g5NhWccBUfRMdn5AbFfwSh97gUgFbM7QQR4uWfnBUzuRx8Qq77kVslZbcteLRXHs9gVYw4ACSVL9vQZB4A9P3ZXk1H+P2kopXBozi/FQ1nyV/tOLsvkjUEL68BHyFkK77WxHlzPteqA93pba4ZnS85h+YKYChabRYiyS0Fg7skXY3IwhywQgqSPf4R2t1gtHp8JxBIk2kqHAFjMTTlOJW0iF+sTKUj6nI//DZPAdPizjGN6KIcOnJi0VeLwohJ0IFgWtDQH+yiZL9hPLemYCdW0tAInpgvTWekezyFYgJV4Nsfw9TGl9Bmnz0dibBMCbMBSkiqwA2wAjA/PPTif3Q9AEXC4f8/h3t3bbrkIRG+LyZXPCJwAMqasTw02zKCkPuQcFTM+Acs4oI8pA3yJseZYHxYi2HFxmlybJIiXT0rme7AQ+MaAuHcoMsmfxjSzqEuJ/Vx0gIi5X8Zln50FFrYdEa6B8YhMGqf+HmDT5++ACLAZx2TXVwoWJBABYx/aqcYp7d9eGHCtMjHmjiVhtq7PKsDaAYKcTcAqSADE3Jd7du/miRlvux/TVqkyfUWBJhCRH6Wm9Nndoc81mN1NRfZ8T6Qaxy9LCZLHqrhEc8nzNHePpiLAQs099sycloK1ayoJ74iMkjP+RAzWDhryJaFLvmAtaPFGwAO+0lK4ZCQNyxtekezinf7yvwLE5JX7ow54r7e19uGJZmEfNt1/6dbGBLaFxQ9l8dPU/EvSMF5u7QpbpWhR/qpB4xfHq23VXkjbxpgcl+f/S6QlDI4zVsFQBTFtKP/2bbNz3JziGKatgagyVDQ94XKsShlfvXV2YSxAbGxrZ1ySJqQqySJzfDpYJmaiAOPPc+EYh4Xo++LNswvw2KTONLE75Mu3zC4fbGaaWXCYgc8EKhoJ7NRH06foADbFLAUeFrgN4ubn4QQ2wMOk0aewqY8TFbM7+z5zY2NZKMyw0c2dpSCD/ae0NMHHgDj17Q3eM7U/xiDavU+C/WcGN8SBwC7HGSu6+Nm8F+OxF8AISF0Xm/KJS8Em53Zd1/chIvl6+j6f1wAgWBJA5q+z7xNIMfX5UAH95/MakpNfyD5J2ttmn/3KgAuAqVbzi/vmxlfyfZyc48ynBb5pzrl5VvVFQOWuZMWA5Eu3NMaZCYD8nRQFQPTe1A601YsP7yd3NZX35t2/nH2+c+z7Hba28dUCT35A5u/6KRvePX8qv54kbnIlHxRAUzLkTuoIc5t/lstAzt3380fmRJjJ6DeGzi5pNs7jWNdXSkqwg5lP9gCr+wXug1NuX8ljsWfyA4wx+OZUjHZWnJSyQabemJYih471wx0i189cj2peXgDsnfy8V++N79C+cO8C6P6mVge8d9gsMObBeudMjfUunlrAhra0f3W986fGf790egE4Qvmv11Z9f3TptCIswvv/cM2s0vfH/atxhOUfrq76/mf2EVKmlc3o6503pa+vqTABmeTG/a8BM0reH2ZR+nLcn11elR3i+/ubK2fGeudOjT/NPguB+fFXg7LvvKmlkIBxzA/FRNc7d0r8df5pO5f+Wp8/AasF8qd5jGsoSOB8zCgFCvT5HKNntWhcz7GuT+AFP/5n3ms1bmZx0vMZ/Y++Pl9kM848/Mll1bH6zKeFpODBehdMLRvwjdP3/+T8rnf+lOIEN+4rQ2bHfyt9U8ueYSzly/lO/vCSaeXYj+d7cazPOq53cfbluE/eUB0L1P5AX47zwXHmtkIAZdyFU+NT2WccUFvvoqoPyGNR/qz1fTZB1HU/mX/6u+OBo2N9/9X5jaU09Ck4sN6FeexFU8s9YPofz3sy7g/yvgGGcb5j4n71eXaA6BmN83wWOBaqlqFxf5TzoEKz5y2yl+/7v+cceg9kRRFO41TX0Uce1frT9yfZV8ltnzzm+/lfAyp5JCuVnE2N/zf7yITzfYScZZ/3bhwZ9blGx5JHih2wO+ffXjGzlNayO2X17a7dSc+ueIWvsyW+e2flK8UEWQTv9Ncv2SRgN9dyH99JcYI64L3DVkVVFxUfHnrPRBRx5duy9YgvQx8zsfQlI6n1MQmlcOjzq/qqvYACAfr8v4iZ8k0+dszxXPpyHJOQ/4SZ69yuq4+fyLH6HFvGrd6X4+RO6Vv9WAGEvZMV1frcs77aOOxNH3NZH7NSn/Ppc6w+Aue6HOy1cbU+eYX6zJVjt+nrc6w+4/w44j1Hrc91bVnT589yvryu/+fnZG4Zo9//l3Gr9TnP6n1++viSXOuN4/QpheQeVa1xz7VxfvqMkxPp72Vc37H6fv3Y1sIcPb9rmEsslItBn3FV3/zSZ4Gbf31kqIzLZ62Ne01+8tjauFpfOTb/rB1bkynjyIpxr8tUnzzmz/87tpLHSlbWJI/O49jVZao69vU+1y7XWK2vNq7mBtnxgdY4b3xXLOgDu1VdS2Jxx9Kye2JKmsZXvjw/Dnm4KY58Zn7IIXw3P5aFAB7zHrt9J60OePVWb/X2wbaexbGgaWY0zpwSkydOLVVQ2pYuiiVzX4pRD42IYY++Gk1L182nSHtHjYyWbTeNrhuu7Ov53Wx1wKu3evuttPnRPvbuuOWis+KcSwbHzY9MiGmti2Jp+6SYNvSwOHC7HWKLI++KsW1r/y1gwUWBjLf7LX7qiZi13RbRft3Va/z31X/533/ZVge8equ3dd16GmLs7ZfEBUcdHadcfV/cM/rVmDSnI5Z298bKzjkx/95DYu9NN4kv7HR9PDbnvX+GVH6fXU++VieNRorMm34vdpQ/Tx36XBx9wDlx0oD745yxi1/rr/0E9PycR4DH/uGutfyA02+j1QGv3uptHbZV3e0x/+mL4tSdN4+Ntz4uLnjglRg/d0ksfS2ukCbsuIvirP13je/vPSSeal4e0dkYDWOfikeffDnGzWiLjpJl0h29ixpi5rRpMXHC+Jj86vgYP3l6TJo4LRqa26Mzsaita1V847am+G+XTS/BEr5QP77J1398la2x/V0zYttBo6PfLa/GTo+29fW/Ps5x/NQCd34A0Y6q/2qtDnj1Vm/rrPVGZ9NTMeyQH8TGG24Xm584NG67bUjccdOQGPrQ2Bi/oCu6V6YJm4B3xn67xQ/2vS2eamiORRNui5vPPSYOPWNw3Pjo5GhY1hUds1+I5+64Oq4fcnfcNvTmGDLwjDjlhNPj1PNujNtHTYsFvWk0J1baxfPZm2aXnS9SgqTBSEJ/7efvszrjnmmLYtjLc+Oeie3l76V/tXGOs+NHArkouqR+6S8fVPPBp5W/Obj8rlsd8Oqt3tZZmx/zX7osjt3gC/HNH+wfh981IV548bF4/NJ9Y4+td42dznwknp23MGJi/zjnwL1ig10GxLDhd8R9t98QV954fzw6aW40tS+Nrp6X48lrTo2DtjwyLhwxLqbOmxMvDjkxDt/oh7H98UPj1snLYkUyvIXdK0upMFF0u3aYuG/1s5+XSe3PNf27n3xBydtyNEWdbSxYc2PqLo/Ozq5Yuqy3+BDX3HqjZ/niaJ+3IBYt646Cbz1LYtm8yTF1RlM0tOWxZdz71+qAV2/1ts7a9Gh87PjY5QvfjZ/udEkMnr0sOpYAwYvihM3Xj2/84Jg474nZMX/sVXH5YVvHZ76+dey89S5xxGX3xD0zk7K91p6OYafuGj/73C5x8iNzIiEy5o04M4751hdj69MejLtbq1GLEvC2eGBeSYvx/+9Hs4dZHULlwOzXfWNb1T0/Gl+4N+7uf2KcPuCuuH0s1tr3j29oq+aNiqcHnxMnnD4k7hk3P4307mgde3cMPX3fOPycIXHTSysqEHwfWx3w6q3e1llrijlPnR37fW2D2OrgG2JYZ193jIt7jts2tvrmLnHUvTOj4aXr4upjtonPfPXnsfVPNowdD70wLnwsgfA1zJsT4287L07Zcd844ZbRMbq5OV59+NoYcMzJMXDE5JjYF9j1gXRFIuRqtnauDpjvvdkFY79zrbjvG9vKrnkx9aH+cfZmn4hvbHZ4HHLv0tX8k6u1RY3R+OCJcdQ2349PfOvoOGv4zOSEXTFn5OVx9qafiG9ue0oc/3B3csD3t9UBr97qbZ21zuiYPiwG7Zwgtvc5cdELCQbdyWu6RsVtJx8U+/Q7Na5+bmbMHXNRnLH3TvGtrU+Jq686Po7+5Rax8XbHx7mPzIqZHZ2xfGV3tI29L+469cA44pQL4qyB18TgG2+JGx8cG6/MXRZdfQCzIP9nXQNerEqTuHFMPHj4+rHlLkfGYQDv1y6dRury9mh+ZmgMH7B37LHTNvHFH5wUF4+YnoCXZvOMJ+LeX307Nt/rjDjpsRUJeGn2LuuIRQsXxsKly2N5LTK8sid6uvLcy5bFksVLY1n+2dnVFcs6EyTfJnpcB7x6q7d12Ho7Z8fM+86Ik391WOx/5p0x4rnnYszwy+OSsy+Ocwc/H5NmvhLTbzswdv7+d+KTm5wR/Uc8Fo9evnfs+b3Pxac3OjyOueGJGNc2M1568NI4YZMN4mcbbR6b7rhb7Lb3gfGrk/vHZXc9Hy/PWVautaB7VSlcsU4BL1tP64R46qSfxI57HhNH3Lfk1wGvuzUWTbw/ht58d9x300Vx3Rl7xw82OTUuGj5NfDpWzB4Tjxy1QWy7/zlxxjM90bV4eky4/aLof8Glcfn942L8vM7I3uiY8lw8e/9dce9Dw+OuW26JIYOvixvuuD/ueuSVaG6rnn9NrQ549VZv67Ql+1g6OV567L64fej98chTz8SokQ/Fo89OiHHzVkTP0nnR9tKwGHrlwLj0pifj6VmLYknj0/HMLRfEGedeFzc+Mj5mzXs2nrpnQBx/0KlxznmXxRVXXxkDLu8fl15wYZxz/IVx9f3Px7SeiJYVUQpXrGvA625+OUae8OPYYc9j3wB4C6Oj4dl4bNg9MWx0c8yfPTJeuvag+NnmZ8Wlj88uI3obRsVDR2wQ2x18QZxy/8yYPur2GHLp+XHxoNvivmS/s+a3xeIJt8X1F58bx51/Vzz27Kh45t4L4rS9domtdz0zLh4+IeYsWvN9aXXAq7d6+221roXR3pwAtyTNs76ud9J6Jw2Nuy8/NQ49956494mxMXnSuHjphacTSIbGdSeeEQNveyxeTrBrTspk3+5vF/DS3CwW5opYNO3+uG/AiXHICdfEDcOfj1fGXB1XH7V1fOO7+8XBlz0Sk1qXRnvDczEiGd4Ou+0RWxzWPy4487K44ZHJMW1ROXWefG6037Z37LjtrvHTU8dGa08+aMeNce6Om8e3f3BKXD9lQdSGrqnVAa/e6u232FatXPkuUy9WxeKnL4vLD9kyNt7xmDjmvGvi5ttvj6G3Do7rr7k2Bl73QDw6vinSmo3235JJu2LeuHjixDRp9zoujry/M6pRHTHx9nPjzB03jK122z/2PPSYOO6gbWO7H38pPvbv34/1tzw1rnx6VkyYPTZGHLdB7LzJl+I/1t8xNux3dlz99JyYX5uknrZY8ugJceBOu8UmR46I8Qs7IlqHRP+D94ttdr06RjQt67vemlsd8Oqt3v5LtVXR3TIlpoy6L4YNvSkG3zA4brjptrjzwcfjqbFTYtKcBbGwD9wWrBalnf8+AZ66f7/Rh9fySvHh7bT38XHUA119ANQV88Y/GSOHXhdD7rgzbr3j7rj/6uPjpN1/Gp//cr/Y6ZibYmTzkpgz58V4+Lgfxi577h1b7XdiHLnD1rHjoYPi2mdbo/LM9cTKtifijkvPjOOOvTRufujJePKRO+OuOx+Me59tjjYJiG/T6oBXb/X2X7Utb42WWVNi4qtTY/rchbHkDekfbV0rSyVyhWBt+n8/mqrg9tQCvNG2vb2x9XZGy0t3xrU7fTK+scG2sU3/V2NKgqRbW7WyJ1Z0d0bnss5YtqwrembdFsNO2za+9K1D44Shr8TCHDXvuZvi8m0/EV/f7Fexz4A02fvvF9t/59vx3S2PjjOGvRzjGubHsnkPxW3n7B/bb7xV7LLPoXHQoSfEqRffEEOfnhrT2lfUGV691dvvY5OW4hsaCtT61srIpq7yhb61+Q2asDh2fKi11PzzLZE3tZ5F0TjmtrjhqG1ix10PjkOvGRMvNXWuOZ9u0bPxwpCzYv9Dr46bn52bHHB5NI2+Oa46ZKvot+cJccYDE2PClKdj2Ik7xE6bbR+7nPVgDH9hUjQ9cUFcfPQusdFWe8e+B+Y1Dj8if0fF0WcOjAH3vBKz2t+6wkwd8Oqt3n5Hm3LxuyUw/cXAGaUCuerVqkyrKv36b07f7439a/6pEv3xGxrj0KfayrdT3tRW9caKzkXR0doUc+e2RMvCZdGZ97FGgrlqeSxfsiBa5y+KxcttI1sVPZ0dsbClKZqa50f7shWxYuWK6GzPvzc0RmPLolg4f1ZMvuOiuPaqq+LyES/E6GdHx3NPPxFPPjwkrrlyQBx/5tAYO2Fu3wXe3CrA4zh9nyjv705bEb3L2mNu04LyMj4srXtxW7TNnRcLUtbe7203/7VaLo/FzTGvtSPaXtuxsKa2MsW7+hDO+91W9va+bZLrmluOT1BYF++uJxe1va8+jOULf+e92BEXrP57KX9jF8WFfv7/jf++hp/z+O6HDywtSyBb121l2+i4+6gdY+9dD4xDrn4ghj30eDzxyP1x/21XxhWDroqLbxwdU2Yv6Rv95lYB3or2aBr3SNx79QVxyQUXxAV5ovtebI3OdfU8KQCrumVKr4iuD0XFma5on/hg3Hv+UXH4wcfFSYOfiWeb1k3l2bdsK5dH54xH4v7+R8WReU/HDxwZo/PF/pbv6rfUFkbHlOFxx7lHpSlzXJxxw1PxYtvKt/DdJEtYOD2mjr4rhg66JC644MIYMPjBGDlrWXSslXwniC5tihnPD49hV18cl+a6ufC6++Pel1NBvu1LScDraonZLz4Q91yTa+2Ci+KCQcPj0Vda4m1x+4Nq3V0pWl3u6r9A643lC1+Jp647J8457vg44YJBccV1t8TNQ++IO+68Ox4Y+Vy81Lg0Fq+BeNZaBXhdk2P0oL1i8/+zXqy3Xv4+sln87Jzno3VdraberujtaIrmpLat773e4fvYWuOla/aJ7f66bz7WPyVOHrHwtysU3W0x7+bdY/fPuKf/Eev9+/5xxiMzoqPvn3+v2qoJMWnorvHTj/xheT8f3eCIOO2F7mjv++dfb2k2zUwFfsbP4lv/X/U+//jffhF739ccU9dKufbEirbn4qGLfxmb/f168Qfk5B9+HhteMCFmvV0iGClaOD6euqBf/OKf+uTrz7eMXS8fE/P6Rqy7tjLFal6any2x5P2KaqyjtqJtRkx+ZkQMv+/BuH/kuHh17tJ3oPwj/n82yCB1IDCkigAAAABJRU5ErkJggg==)
If the tension is provided by two masses of 6kg and 14kg suspended from a pulley as show in the figure the fundamental frequency will
physics-General
physics-
A train A crosses a station with a speed of 40 m/s and whistles a short pulse of natural frequency
. Another train B is approaching towards the same station with the same speed along a parallel track. Two tracks are d = 99m apart. When train A whistles, train B is 152m away from the station as shown in fig. If velocity of sound in air v m s = 330 / , calculate frequency of the pulse heard by driver of train B
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)
A train A crosses a station with a speed of 40 m/s and whistles a short pulse of natural frequency
. Another train B is approaching towards the same station with the same speed along a parallel track. Two tracks are d = 99m apart. When train A whistles, train B is 152m away from the station as shown in fig. If velocity of sound in air v m s = 330 / , calculate frequency of the pulse heard by driver of train B
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)
physics-General
physics-
Two tuning forks P and Q are vibrated together. The number of beats produced are represented by the straight line OA in the following graph. After loading Q with wax again these are vibrated together and the beats produced are represented by the line OB. If the frequency of P is 341 Hz, the frequency of Q will be ___
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)
Two tuning forks P and Q are vibrated together. The number of beats produced are represented by the straight line OA in the following graph. After loading Q with wax again these are vibrated together and the beats produced are represented by the line OB. If the frequency of P is 341 Hz, the frequency of Q will be ___
![](data:image/png;base64,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)
physics-General
physics-
conditions of the experiment the velocity of sound in hydrogen is 1100 m/s and oxygen 300 m/s)
![](data:image/png;base64,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)
conditions of the experiment the velocity of sound in hydrogen is 1100 m/s and oxygen 300 m/s)
![](data:image/png;base64,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)
physics-General