Maths-
General
Easy
Question
Solution of
is
The correct answer is: ![n pi minus pi over 6 comma n pi minus pi over 3 comma straight for all n element of Z](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAAfCAYAAABUKgeRAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAATRJrTQAAAA5NJREFUeNrtXE9kHFEYf2pFVZSKiopcIip6qKUiIipKT2tVhFrVQ0SIiqpapXqoHqr3qCqVw4oeQq0cqiJUVeVUIofqoUL1tHqLirXWCun3Nd+Yl7fvzczOTNvMN9+PH3l/Znff733z9vszG6WyjSVgC3gYwIeKP0QHplgFDgPrwBmtH9tl0SF3OrDFd9pgDz+Ag6JDbnVghQJ9PevtpuiQWx3YYRL40Wh/EB1yqwM73ALWtHaFfFLRIZ86sMNL4LzWfgp8ITok1uErcNQxhv1fxPT+XWBV1NrPgO9pE86IDrF1wBuk6hir0vj/xClgR7nToh2ak2lgSmzH6BsH7gNf58i4/4YOeP0nxxj6+hMpr2EMuEzraGnGGwePgA/k7BeEoQE8Z/SdBf5M+X1mySW6A7wC7EvwWhWXa/aErH6QghW8i/aA9yxzOVfORAcfdcea6ilo52GYTu003Mlp4Lpr8A19kBpNRP9lCNi2vDnnypno4KNMepj6lFPQzsNzQ7skLs4G8LRrwi5w0dKPd+BAQGDDrXImOvgokB9f0NrNgOAtjnaNFIJB1HoLeD4oIm06FtgKWHyvlbPDCExybdzXFh3cWAPeCDjRk2inQjIhUT5rP3ATOBI0aUIdr4J5mHT028Y4VM5Eh27cBq7Q3yvUTku7pCc4XvcWOBU20ayChfXbxjhUzkSHbuhZE1tWJYl2iOUEPngt6rXo6C/00I/gWEEUHezAE/iucufF42rnZVG2ydXoBY+VuxDVBUytlHro9wKrLFcQ18jHmxEdunQwUaXTu5qyDenfel4evKgFtS7M0Y0TGXuO9Iqrn0MF0baxooMdIzRnNEUbMmFWMg8CgsxfIYFpn2KGcYru0bDaFHhMR9zcEoP1X1NHOeAWrX+XjGWgByMvKcGJxCIZ9EUtKMJIfyvkuiJ9LRYYaIA+8qxxcuH6NiNcy0kHdrhEAUocYIWN+8+59kWHbOOVOkpDCex+8zeRIdvADbwgMhwDnsbz5IeLX51xtMn3Xlf+M8Tbyl1t4wwzk3BfzIPHpu7QSYVBEpZup+j0WsqpJlhpxJTfZxUtkyQ44UHUkCMz0Mi5Nv1k5IIMY0O5H9TpiDx/XDhBhoFuSMXSPyanl7pMrpogw8DCBj4AtKD8QgU+ton/0uB6jnRADW5qcQhWNvFHF3NiItkH/ooDn1PGh+0PaLOv5kwDXO87ckmQWNmUf7oJ+A1W5G9eIW15DwAAAUZ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+bjwvbWk+PG1pPiYjeDNDMDs8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1mcmFjPjxtaT4mI3gzQzA7PC9taT48bW4+NjwvbW4+PC9tZnJhYz48bW8+LDwvbW8+PG1pPm48L21pPjxtaT4mI3gzQzA7PC9taT48bW8+JiN4MjIxMjs8L21vPjxtZnJhYz48bWk+JiN4M0MwOzwvbWk+PG1uPjM8L21uPjwvbWZyYWM+PG1vPiw8L21vPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj4mI3gyMjAwOzwvbWk+PG1pPm48L21pPjxtbz4mI3gyMjA4OzwvbW8+PG1pPlo8L21pPjwvbWF0aD6jXdEQAAAAAElFTkSuQmCC)
Related Questions to study
maths-
The general solution of
is
The general solution of
is
maths-General
maths-
If ![Sin space A equals Sin space B comma Cos space A equals Cos space B text then end text A equals](data:image/png;base64,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)
If ![Sin space A equals Sin space B comma Cos space A equals Cos space B text then end text A equals](data:image/png;base64,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)
maths-General
maths-
In
(B-C) ![equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC)
In
(B-C) ![equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC)
maths-General
maths-
If
then principal value of ![theta](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJNJREFUeNpjYMAE1kC8DoifAvFBIDZnwAHMoQqZoHxRIL6LS/EFIJZGE9sBxHroCl2AeD4WA5YDsRe64GwgDsKiGOQsN3TBa0D8HwcWR1YI8tAnLKZiFQfp3ItFsSkQr8EVZOigHogT0QV5oMGGDASB+BwQs2EL4ytAnAdlawDxcSD2wRUhelDTfwHxJSD2Y6AEAAAtDR3FA6PhyAAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPpXIFCkAAAAASUVORK5CYII=)
If
then principal value of ![theta](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJNJREFUeNpjYMAE1kC8DoifAvFBIDZnwAHMoQqZoHxRIL6LS/EFIJZGE9sBxHroCl2AeD4WA5YDsRe64GwgDsKiGOQsN3TBa0D8HwcWR1YI8tAnLKZiFQfp3ItFsSkQr8EVZOigHogT0QV5oMGGDASB+BwQs2EL4ytAnAdlawDxcSD2wRUhelDTfwHxJSD2Y6AEAAAtDR3FA6PhyAAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPpXIFCkAAAAASUVORK5CYII=)
maths-General
maths-
If then
If then
maths-General
maths-
If
and
are acute angles such that
and
then ![A equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB0AAAANCAYAAABVRWWUAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJBJREFUeNpjYMAPChjoDMKB+BcQs9DLQkEgvgTEu4E4gF6WzgTiSCCOB+Ip9LDQEoi3QNniQHyXgPr/RGC8ABR/Z4BYFknsHBBr0NKX9UBcgibWCsRZtLJQA+ordGAPxJtoFbyH8WiiSdZJA+IJeOSXA7EXNS2UhOZJHjxqkgk4imSwCoh9CKiRBuJbDEMZAABr7iyLEy33WQAAAFN0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+QTwvbWk+PG1vPj08L21vPjwvbWF0aD6je85bAAAAAElFTkSuQmCC)
If
and
are acute angles such that
and
then ![A equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB0AAAANCAYAAABVRWWUAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJBJREFUeNpjYMAPChjoDMKB+BcQs9DLQkEgvgTEu4E4gF6WzgTiSCCOB+Ip9LDQEoi3QNniQHyXgPr/RGC8ABR/Z4BYFknsHBBr0NKX9UBcgibWCsRZtLJQA+ordGAPxJtoFbyH8WiiSdZJA+IJeOSXA7EXNS2UhOZJHjxqkgk4imSwCoh9CKiRBuJbDEMZAABr7iyLEy33WQAAAFN0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+QTwvbWk+PG1vPj08L21vPjwvbWF0aD6je85bAAAAAElFTkSuQmCC)
maths-General
physics-
Three persons
and
of same mass travel with same speed
such that each one faces the other always. After how much time will they meet each other?
![](data:image/png;base64,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)
Three persons
and
of same mass travel with same speed
such that each one faces the other always. After how much time will they meet each other?
![](data:image/png;base64,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)
physics-General
physics-
Figure given shows the distance–time graph of the motion of a car. It follows from the graph that the car is
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Qg+PJcCDo0frhs/AlA63RqNBqNRqPRaDQajUajsRtfX/8AwPm3C9zGvrIAAAAASUVORK5CYII=)
Figure given shows the distance–time graph of the motion of a car. It follows from the graph that the car is
![](data:image/png;base64,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)
physics-General
physics-
A rocket is fired upwards. Its engine explodes fully is 12s. The height reached by the rocket as calculated from its velocity-time graph is
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)
A rocket is fired upwards. Its engine explodes fully is 12s. The height reached by the rocket as calculated from its velocity-time graph is
![](data:image/png;base64,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)
physics-General
physics-
In the relation
P is pressure, Z is distance, k is Boltzmann constant and
is the temperature. The dimensional formula of β b will be:
In the relation
P is pressure, Z is distance, k is Boltzmann constant and
is the temperature. The dimensional formula of β b will be:
physics-General
maths-
The number of values of k for which the system of equations
has infinite number of solutions is
The number of values of k for which the system of equations
has infinite number of solutions is
maths-General
maths-
The value of λ such that the system ![x minus 2 y plus z equals negative 4 comma 2 x minus y plus 2 z equals 2 comma x plus y plus lambda z equals 4](data:image/png;base64,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)
has no solution is
The value of λ such that the system ![x minus 2 y plus z equals negative 4 comma 2 x minus y plus 2 z equals 2 comma x plus y plus lambda z equals 4](data:image/png;base64,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)
has no solution is
maths-General
maths-
Let
If AB is a scalar
multiple of B, then ![x plus y equals](data:image/png;base64,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)
Let
If AB is a scalar
multiple of B, then ![x plus y equals](data:image/png;base64,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)
maths-General
chemistry-
An open tank is filled with Hg upto a height of 76cm. Find the pressure at the bottom of the tank and middle of the tank. (If atmospheric pressure is 1 atm) respectively are
![](data:image/png;base64,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)
An open tank is filled with Hg upto a height of 76cm. Find the pressure at the bottom of the tank and middle of the tank. (If atmospheric pressure is 1 atm) respectively are
![](data:image/png;base64,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)
chemistry-General
chemistry-
For one mole of a van der Waals gas when b=0 and T = 300 K, the PV vs 1/V plot is shown below. The value of ‘a’ (atmliter2 .mol–2) is
![](data:image/png;base64,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)
For one mole of a van der Waals gas when b=0 and T = 300 K, the PV vs 1/V plot is shown below. The value of ‘a’ (atmliter2 .mol–2) is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAecAAAFnCAYAAACcvYGMAAAgAElEQVR4nOzdV3dkZZ7v+e+zbXgr773SWxISkgIKynVVnz6mZ03PzZn3MvfzBsbPWnNuZk2f7tNdnipooLCZmHTKTKWT91JICh/bPXOxpTQgpaESEOj5LLiAjL1jh8n9i8f+hZRSoiiKoijKnqF91xegKIqiKMrDVDgriqIoyh5jfNcXoCh7hWx4BKUGCNDiNtgGQnzXV6Uoyn6kwllRtviFCvULM8i6izXSitGfQ09HvuvLUhRlH1LhrChb/LUqtffu4K9WkHUfLRtV4awoyndCjTkryraGR7BWxV8s4m9UkY73XV+Roij7lApnRdmma4iIgYiYCF1DDTgrivJdUeGsKA8SAjShgllRlO+UCmdFURRF2WNUOCuKoijKHqPCWVEURVH2GBXOiqIoirLHqHBWFEVRlD1GhbOiKIqi7DEqnBVFURRlj1HhrCiKoih7jApnRVEURdljVDgriqIoyh6jwllRFEVR9hgVzoqiKIqyx6hwVhRFUZQ9RoWzoiiKouwxKpwVRVEUZY9R4awoiqIoe4wKZ0VRFEXZY1Q4K4qiKMoeo8JZURRFUfYYFc6KoiiKsseocFYURVGUPUaFs6IoiqLsMSqcFUVRFGWPUeGsKIqiKHuMCmdFURRF2WNUOCuKoijKHqPCWVEURVH2GBXOiqIoirLHqHBWFEVRlD1GhbOiKIqi7DEqnBVFURRlj1HhrCiKoih7jApnRVEURdljVDgriqIoyh6jwllRFEVR9hgVzoqiKIqyx6hwVhRFUZQ9RoWzoiiKouwxKpwVRVEUZY9R4awoiqIoe4zxXV+Aony75PY/gNj+R1EUZU9R4ax8A2rUFqaYn11ioQINM0eurYPu7jxN1pOeIwC/QHG5yMyqwEpnae9ME9fF1w9Td4WN6VlmCw4lPUMi30xbPk1TQkcAQqW0oih7hApn5RkK8KvLbM6McfWzy1wcm2By3WVT5GnqP8bR50/z3LFu+lIWkccNqPgbOJPnufjJJB/ONtN+/Dg/bksT079GS9cpU9lcZHlmkpmZFRbL4CY7aRJxEskkeXTVelYUZU9R4aw8O/4aKxff5Pxbb/HmtXVubzTwa+tsFqpUPvqMDy9Ocfvf/Zy/e2OUo0025iNO5W5OcvP93/Pmr+/wF+d5nmsZ5Iz8OhG6wurYR5x//zJX1i1k12EGBzo42J4jnUqRjWr3glnKr3F6RVGUb4AKZ+XZ8Io4a+PcvjbOF7drlOxuug5nyIk1qnc/5fKVy1x/u0hFRki2N5F9voPeyC4zEitzbNz8mM/Of8p7F9e5kR5hoO7hPtUFBcjaHCvXP+CDP33Ie9cdNttOcaL7IMNH+zie11RrWVGUPUuFs/JsVBdwliZZ0LrRTr/Irw71cKgnji3q+BNvcv73/8x/+fUdrl/7hA++eInRvg46u8H6ckIGdWqTV5n+/Aum1usU7DSBbqJLiUDy5J3aC6xde4c//7+/5c+3DOrH/pazr53jVydaac+oYFYUZW9T4aw8G74AkSE/NMLR3DHOjkZo2+63HjDIiBUmb0yzdGeauallplYlbpf4UjgXoTzFjdsLXJo0sBM5Bnt1ajVrK5ifVIXy7Y+4+Pab/O6jFWY7fsJPX3uDX77azKBaPKgoyveACmfl2bBasJojHO5I4icjZB8cUNZbiPWN0tvRSvecpISHFwQEUn/oFEF5mvU7F7m6ZrGYPsloukLDXWJyLsD1nnRMOCAoTXDnvbd4773r3DDO0HfiJc722XS4Hp6ho/81M74VRVG+BSqclWfDTmIaCZptI1yW9NAfGohIAstIkIraWPkEybSG/lArtsLKxAzXPpllwz5B26k+eldvMD+xgC4Dgie9Dn8ZZ+5zLp8f49PJAO3EEL19CfSFK9yYdihFO2ju7aen1SLxbF65oijKM6fCWXk2DB1h7DIiLAs4m2ss19MEmU6GBlsYbBYY2w/2awSl60zdnOXyco7kCz08d8Qme9HGbQQE/lN0aZdnWB//jGu3l5iotNCUNEjqayzcnmBiYZ65Rgqz5ygHjh/n5HATbQmdJ156rSiK8i1RI3DKN680Q3l+gQW9C9H/HMcGmziU5N5SqmBzkbUvLjCzXKLYf4rmkX6GUwYZzceX8t5uXkI8vjvaW1ti8fYdZlfKFDwdp1bCd+v4lo3hL7N+5Xf88f/53/k//svv+N3VNWZc7o1mq01IFEXZK1TLWfmG1di4fZc7l5dpNB2g99jzHO5L06wDBCALlFYnuXqrwYbRz+EXT3OyXyMaWKBLDEND6CaGHSFiP26utqReKDA/u8xqw0Zv7qOrt5uR3k4GEx1Y2QrB5l2uj33K5RUBLQO0NCfoGYw9cs21oijKt02Fs/INcgjKU9y+scqNxSSthw9y8EdDdOe3vnayRrB8kclbY3y0FEfv7ORU0iXj6HjFDdaLdWqOj+/VcSpFikWHRtzA1DS0nfvPqdWqbGxWKcksqd5jnHzxLD861UOrJhBDaVoSddanllj75CY3Pr3M2OF+fjHYgwmoaWKKouwVKpyVb0ywPsPS1Y+5uSxZ7z3HoROHeb7XJLv15369wNznn/DZv13gi+VB7Jog99YUk6akUZ6nPDbJtbk1yut3mPr8Pd7tctk8fIiB3jY6YzuskQZ8z8XxfFwjhp1uobW1hc5YdKtlPEz36BlOHfozH1+7ydz8NCtzBfygRw3wKIqyp6hwVr4BEuprrE7c4Mb4GpXsEH3HX+HIcJr2Bx4l3Drri2UKC+sIb4aNZYfzH0BENwhqKzgLC0ytlamV51m6dYVL5+MYmU7irW20xthxIpdlmsQiNqauUfE83IaDwwPj21oz+ZYc7S0mdsMlcBxkgApnRVH2FBXOyrPnFCiNf8zNW7PcMkfJjp7kuQNpOiMPP0yYURJdB+k96uE0LIoiioXE0C0oB9RrMeaiZQwnTjSVJdeUIZuMhMUvduyBFsQTCZrzaRIGrFXKlBsOFSC+/QhhEo3YxJIxLDOOZu4+kK06uRVF+a6ocFaerfoKxekxxsanuVXOYA0cZrC/gz7bA69BqbDJZqGCF0sQaU6SOvIip5oG6at6VH0NoQk0zYTiBKVLSxTX69ymi/YDpzj90ilO9OVojYG945ML7JZ2Okf76Xr/JrPLk8wvV1iQ0LKVtEJzqZcdEDFy3T1kO5vRVKtZUZQ9RoWz8mxIifQKbIy9zRefXuLd+RT1TCvH6os05opcnqvjO5ssTiwxN+MQHT3EgR+fZKC5j55sF51BgP/gmqYNm/WNHBcScxjFPJnuIYaPDDOYtLE0iQgCAgkSAUKgaVvTuZp7aT1ykiP9c8yMT7F4d5rrMyP0dQtSBFQ3V5hbCfCsDkYOjzA41HxvvfX2oi1ta7PQsivxGgFSE9iBJG6GG6eoFrWiKN80Fc7KMxFs3Gb+6p9457/9M//y3l0+rbQRaeni5kcaKQvq9Tq+W2KjnsFLn+ZHbSc4rplEDB3TMHdYypQksHyEU6NcC3CNGPFslBhAeZrC+AU+vrTEbaeLzpMnOH26h04DTLON5OA5fvTaDCXvBhcuv8e7CUH8uSa6RYHCrc85X2jC6Rvl3OlhznTff+7tshqWJvCl5M6Gy4VbFe5WfHTXZyBtMpQ26UsZdCV0ooZqciuK8s1Q4aw8E7K6ysb0De7MbTJTNhDOGsFKiZtrEgEErkPgewQtJ2k7PExbbx9dth6G7U58HZnooKlnkwN2Oz1ZG3N74lZtjcrkeS6+e4v3y8c5muqm72QPbYBJAj1zmGOv/QRHs6h+tM7S+BfciHZT1pYpLRSpdJyh5+ALvHSgldHEA3PBtlruugBfwmbD55rn8MGyw0bJpS9lcCxvca7dJm5GVTgrivKNUeGsPBMi1U3Lsb/l9dRZBv/Gxwt8NBHgBZIgAGSAlBIt1Umq9wiHBjOkH/Xts/NEDv07Xk3+iL5ajkxXF23b/cnRHKn+0xw514Ve66G/P0+L/sCXWUQxe89w5PU8Vscs02suQTSKaSTJtB1nIN9PW2cnA3njK5O0JeBKia4JhjImv8zF6Eqb3FyuU3Ika3WfmbJHyX3i3b4VRVGempDyyWr9KMqeIR1wKmyUPMqeTTwZJR03d1kNVaWxtsbKep2qkSHZ1ExzYudfpY2Lc2z+rx/hLRaJ/3SU9M9HYaCJDR/urDW4vemyXPNpieq80GbTl/xqZ7wTSDYaAev1AF9KEqZGU1QnZqiRakVRnpxqOSvfP8IC2yJjQ5rHTdCKYect2hI+njAxLdAf+fgt8v4YdEaHo3mLvpRJ3Q8whCBl7fxToOJKxgoOF5YaFOoBbTGdE80WwxmDloiBqauQVhTl8VQ4K99rTxZ1BoZtPNWXXQJucH+jE0sX5HXB43YrEQK8QLJa87m05lDzAt5fMBhIGbzWGeHVzhhxUwW0oiiPpsJZUZ6hmCHoS5qcag5oBJIrqw7XCg53iy5pW+P51ghxc+e2+72VZN/e5SqKskepcFaUZ8jUBJ1xHas9QnfS4MU2j8Wqj+tLDuctIrvM8HYDScUNqLiSqCHIRZ6o811RlB8oFc6K8gwJIGZq9Joavcn7f73cQCIR7NajXXYDxgsOV9Zcar6kN2XQFTfI2hrNMZ2kqZZtKcp+osJZUb4F5s41Lu+puJLxDZffTVW5suaQtDT6UiZnWmx+1RfjeNNOZT4URfmhUuGsKHuArQtaYwYHsyYVN2CtLpkteeRsjbW6/11fnqIo3zIVzoqyB2RtnXMdEU40W8yVPe5s+kwUXSI6pCzB/YVdD/NlODvcl+GfGhoY2/uMK4ryvaXCWVH2AEODpKaRNDXaYgajmYCFqoXjS5qjO483e4Fktuzx6XKD8Q0XUxMczFoMpQ064gZJS6DtXFtTUZQ9ToWzouxBCUtjeJeNTrYFEkpOwPi6w59n6lQ8yYGsw2Da5Llmi7NtEfJRNetbUb6PVDgryveUrglaozonmmw2HcmNdZeJTY/Lqw5LVY/elKHCWVG+p1Q4K8r3lC6gJWZwrl3QHjcY33C5XnC4W/RoiekYu8wQDyTUvIBNJ6yhnbE0ko9ppSuK8u1S4awo32cCMhGdw6bGQNrkRx0Rap7E1gVNEQ0pJeJL485eIFmp+VxcdVip+XTGDQ7lTFpjBrYueMyqL0VRvgUqnBXlB8DWBbYuyNgPt4B3KjoXABsNnytrDd5faOAHku6YQW/a4OWOCGfbIiTUpieK8p1S4awoP2BfbjVD2B1u62FXtgbcKXmMr7pk4xoJS+NEs03iq9UwFUX5FqlwVpR9RhfhGPXrXVH6kxazZZeZkhduG5oMu7YVRfluqXDeVyS+U6FRqVBpyLC+sSHQ8PAdF9cP8KUAzcAwI9ixOImEydNvHOnjldbYWC9SdASeHiOezpDNRok97r7vb1BaXWdl3aFOlEQuT1NLnNjXe8EPCyrUCgU2Kj51LYodT5KKR4jb2r7atEMTkLE1MrbNsXz4/xarPqs1n5SlETN2fjccXzJTchlbd6m5kra4QT6ikYto5Gxt16IeiqI8PRXO+0qAV1ljfXqS6cUNVqoBnpQIAXKrMAOajmbYWJEkiUyelvY2WlsyZK0nLWXYwN2YYuLSRa6O3eHuuqRsttI6eJAjJw5zqD9Nfrd7uLtGZfYa18fucnWyQlGmaRk6xOjxQwx12KT/qtdeojx7m6nbE0yseZSjHeS7+xnuaSG2Fc77eb+OtphOPhK+D/oub0TNk3yx2uD/ul7m7qbHYNpkNGtyqsnipXab/rSJKnipKM+GCud9Jgxek2j5LstfjPHpZI31SCftA0P0dzXRFvexnE3KGzMs3dzkfEUQxLpoGzrEkSPDHOyK7N6KlWU2b37MjU/e498+n+DK9BobpRIbVQMte4CB597g9Z+e5bUT7fTE9Qdu4y405pi6fInPP73LnBtFTyfJB2ts3jnPuwsllk+N8sKxVrLa097+K1SnrzN+5TrjcxU2zSyJbJamTJJ0zMLW1VaX2x5XnEPXwm1Gu5MGa7WA1ZpPoeFTdgI64jpdSeOx51AU5cmocN5XdIx4M7kejejKJ9zcvMKN86vczLzMS0OvcHxghIN5D9vbYGP2OneXJpm5MMbYgk3QdZYzP/8Fv3zjKGc648S/vLeF9PBLk0x+8SEfvvM5FzejVGKtZCMaxvQt7lyZ5s07KyyVA8zUT4gdytG8dQ7pLOPcfodP3vqC31/L0nbuef7ujV6G/Et89tv3+c3bE8yvVzBa3uC5Novsk/aeBkWcpctcfvdt3v5whsnIAfpefolDJ/o52WZj6jqGfr9Le4eJzcoDYobGC20R2uMGtzZcxtddxtYdbF3gynCf753mkQUSnEDiBRJNhLPK1bC2ojyaCud9Rmg6ejRFIp8gGxUE1QaNVIRIWx8d/T30Z30MvzlsWWZbSSdMsn/5hLfHfssfN8sU6gLnZyd4ZdAm8uCJq3M05q8zsW6z1vo6p17oob87TVIr497+E5/8+R3+5ZNPGfuog7ePHaG7NUe+BTSgtnKb8ffe5rPLZeZTZzjYd5CDXTkyEgbav6Dd+QtfXLF5a+QI2Re6eK7lSe7sJarTF7jwm9/w5oVF7iZO0nfiZc6d6Ge0M6lmI38NmoCEqXEoZ9GTNDiUszhdthFAf8rA2KU7vOoFXFp1uLXhEDc0Ducs+lImsd2KWyuKosJ5X5ISIgnimTzpVJlcJkOuKU82FyEZBYgTTTaT7z7KgYMdHOiw4H/5J/6/i3/gLZkhmc3S1TbMUFzcnyzmVAiqEqPrJAMHj/PS0VYObE02otDCUM6ltPZ7fr9yg/HxRW6dPsTZFonGOptTV7nwwTi3VwdInz3G4GCODIDooq2nl5O9b3Lx+nXOf3idw10ZjrUkHzNJzcUtXOLm+3/g17+/zGXjBId++e/51U9HeTn3Tb2p+0vC1BjOaAxnHv8rx/Uldzdd/jxdox7AcNphIGlwqMniQNYka2uqQIeifImaXrkvSRAaQtPRhIaGhqaJnSdEpQ/Tc+qnvHZ2lNOpJRrX3uXC+Yucn2uw+uDj9Dxm7hCjRw7xwvFWuvMP/FlumM4jJzjYk6dTq+BXKpTq4Esf5ATrMze5PlFnqZEl25al6YEATWSa6GpLE6mssHT9GncWV1gh3Ehj11fnLDL/8dt88NYnfLLRjDZyjpdP9XBSBfN3wtQEKUvD1gWzZZf/eqfM//zFBv/39RLjBRcvUOMJivJlKpz3KymRUiKRSBkQ+D6Bv9MDbYzWoxx/7iTnDkbJ18e5O3aFT29uslB+4GGRHGbzEH3dbYxkIfrQOWKIbBuZZJaWWIRM0sZOgCYD2Jxic3aWqQ2DopUjk7FJxu8fqcUS5PJ5kkGN+sIEs8trLPjg7vq6injLV7j6/id8eHWDSttB+g710lafZPX6Na5PLLFQAe+ve/eUpxAxwlKWP++N8cveOGdabHqSBklL25pAtnOrWUpJw5cqvJV9SXVrK4+nR8l2dtLT30z28ykmlueZurvK6pEWSGzdWE0TzTR32Ze5glevUnLi6Mk8PT3NdLaALn1YKVBa3qDQ0HGiMWIJnaj9wKGmRSwWJaY5BJUChY0qazVwE2Dv9FT1GUq3L3D5+hzjmwnirVla4kWWro0xV1hn1WgnO3SUgwcGGG6xietq8c83zdAE/WmD9rjO612STSegUPeJGYLuhLnrDO+KG3B706PkBrTHDJqjGpauYWphRS71uSk/ZCqclccTGiKbI9WSJxOZJihusLZUoFh2YXv091F3SmeRxsoic14LbushDg81czgFuvCQG2XKxRo1X0fYNpGo9vCMX03HNA0s3QWvQqXiUKqBl9j5qYLCAivj15iYLTBfS9BVL+E3Ntl0izjzY9yc+IC59z+n8/mf8LOfvsCZ4ST35pepu/03xtQEpiVIAk1RncH048eql2sB/zpR4f35OjlLpzttMJoxOdFsM5oxVSUt5QdNhbPyeEKHWBQrFiGiCyjXqVerNFwPHrt/WJ3a5DiTY3MUUkPke1/k2ECWPh3wPWS9Qb3u4AU2mmFi2eLhL6UQCCHQhA++g+t4OM7uY8711VVmJ+ZYqkCQbCaZiNGUSdOaiGIZK5Rmx/jiw6tcnixTieSJpo7wapuJjsrmvcaTUHElkyWPcdflszXBkbyFrgnaozoJa3/t7KbsLyqclSckETIgkBKEQNN1hPYELZdgmamxGa6Nu8T7Rjn646MMtcfCyQ5SEkaiAKkhEGg7bDIiZbC1gxnhNl5ityANqJU2WVndYN1LER84xomzL/CjU4N0WqAPxMjaRZanfsNv7nzOhQ/PcGSwg5faWrfCWd3q95LWmM7fDyU4kDOZLnrcKbkYQiADiSchCCS62vRE+YFS4aw8niyyefsmN8YWmKukyfQOcfRIOz253b4+PrIww0qpRiHwmJf95EZaOXf0JKOn03RuP0wz0FqbyXTkyNmbrFTKlIsBNR/Y3uSkUadUKlH0LGSilZZ8ko7Y7u11TYCu6wR6HDvTRc/wMKOdzSQBSJMzS6xfvsrd1TnOT00xNbWBK1uJqHv8npO2NJ5vtXm+1Wap6nF93WWt7tMeM4g/Yo30fMXnWqHBfMVHAhFdoz2u05s0aI3qRHbZO1xR9hIVzvuREPe6i7f/W2gaOzeE69Tmr3DhrQ956+MCS5GTHP3RK/zylV4Otn55m7BQUJxj6dpHXFnwmc8cp2v4Fc79SCeSTIazuGVAIEEIG3pH6Dw8xIHmj6iXF1mYrbEyAgcy4bnc0jrz86usiRyJ/qMc6m9jJPnl2eDbNJKZLB2dbeRjVQrlIqVynRJshXMEI9ZLd1cL/d3rXDeNsK283YDnXjseDXaZ3KZ8F1pjBhlbx/HD1vKjdhmbKrn81zsV3l+o43gQMTVebLX4274Y8bYIEWPn762i7CUqnPclEwwdU9uq96ubmHaUyFcSzyWYO8/VP/wT//zbi3yw3krm1Z/y+s9e4KX+BE073Rw3b7N88xKf3V5nym0mnY/Q0pIl0yzQnU0Kt+eYnyviZlvIH+in3R6hY+gwzw1eYGZ+kanJAouFTtgK59rGClMTBWp2L10nTzM60EqrvvsaQKOtm67Do/S/9xnTK7eZnV1n2u2mY3v+kWYQuBqxWILOri6aOnP3Qlgg0aVEkwE2ElVkaW+xdfFE5Syzts7xJgtTExTqAWuNAEMLf5OqH1zK94UK531GBh5ebY3G4iKLS6sUiptsxFdYnplgZqKL1gQIAgLPx69OMXv+T7z33jWu17vIv/hTfvwff8zrJztp+9JNTrpVGpsTzHz4G/7y0RXeW22DZo2T4gLjG5e56TsEziZLMxssrkVoPXWGlwYHaLaaybQf5eSLB7n+cY0vpq4wOZ5lNZ/C9Be5c3eeW5s5Uv3HOX72AMNtCXS/jlveYKPkUA0i2OkU6VSEiACR76HpyAs8d3SGpc/mWLl+jQuXOmkbtsjjUpq6xbUFjXriAMdPHuLISBPbPaS+gJqm0dAM6lIj6khsV6JpYIhwSdBu93ZfhjtheQ9s0C0QWPqjjwskuIHEC2BrVB1NhK1CQ9u9dSgleDI8zn/gOXUhMLXw2N34UuL4Dx+nbR2nC7FrgPkSvEDiS8n20mOBwNDC2diPCj43CJ9z+zUCGEJgPqIFLAF/670JkEgZPocQhO+P2HnjnJGMSV8qxaYTMFUM9wD3goCUpeFtXbsm7p9f1wRSwlrdp+j46FpYNjNqCCK6eOTnpyjfFBXO+0qA39hkffoaU19c5bNrU8wVCqz6Y4y981v+XOxiPg2mbFDbKFAsLLG4sMo6hxj81SmOvniOl58bYDRzf0j43pkLN5n5+L/y63/8Nf/0/izXqlnsXBNXU4KoIWk06vhujYrZS2TgF/zdc3myuoYFmM0jDL76c14of8LG5fPMfubzB1rIlm8wdW2Jiew5+p5/lZ+fyjOYAoqTrHz2R37/7jQXa8MMvfEaP/nJAYZMsGkm1n2Wl38ySzW4wJ9uv88nv/ZInO2gV1tm/fY1Pqt1w4FTvHKynzOt92eHN3SdhWiE2YiPF5joBZ9YrE7K0uiI6XTE9R3X5PpSUqgHTBY9lmv+1sYuYaGIvpRBT9LE3KUVXnJ8JkseK7WAhi8JpCRuarREddrjxtbWll89ruZLlqs+sxWPjUa4e4wAMpbGYNqkLb77X+3Vms+dTY+NRhBeK+H4bmfcoDWmE9/hYqWETSdgoeKxVPWpuAGaEFiaoDmq0Z8ySNs7dxf7gWSm5DFR9Kh6AQjQELREdfpTBtmItmOZSj+QLFZ95ivhtTZ8iaEJkqagLabTmTCJ7jB+rAmI6LDiSTYbAZJw5vdc2SdhaiRNnaghqHoBSxWfuBnO+v7dVJW3ZqpEDI2RjMVINly61ZUwSOz2ASrKN0SF874jCQLwIp1kRs9xLtrggNlKS5NGwmtQb4CUder1GjXXwmg9zsjQSY4+f4pTozk6dvvGSB/fA5nuIz/UwnHXRze1cBcyKTFMC+knSLYO0fbcMQ6OdNFublUxijQRP/AKp9dNAnmNSa3AymJAo1bDywwzMHKW46cOcSKvhWPNvkNQXWN9aYHZchPZkoN7r0FmIWL99L3wBq/qMervzzPdWGR9QWAaGzT8FNnDh+k4dJrTA1naH9jJpGoY3EwlOF/WKfgW3qJHyqnQmTA422LRFI3uGLJuAPNlj7/M17iy6uIj8SU0RzRe74rSFNVJ77Imd60e8NFCnSsFl6ob7obVFNM4krV4oS1C2rZ27MIvOQHXCw4fLTWYLN7fL60vafCrXvHIcJ4te/xpuspEyUPKsAXZnTQ422oTMewdwzkAlqo+F5YaXFlrsFwNMDRBxBAcyZkkrdiu4dzwJdcLDn+arbFSC8JJewiO5E0MESVu7hyyTgB3iy4fLtSZKnmUHElEF7TGdE43W6RtnegO48e+hJmSxzuzNc4vN6h6EoHA1qHuSTrjBjz7vQIAACAASURBVFFDp1AP+Mt8HUsXdCd0Fis+d4seNU9yZ9PlyprB8602L7dHGMlaxNREMuVbpMJ5XxHoVops73EiuT46z9b4uSvxMNANE8syMXTQpI/vuXiuJDCi2MkMmWyS9CO+LVp2iO5z/yN/f7jKGzVJIAMEYUtQynArRgARSRHJtNGSixO9d1/VQe+g48Rr/LhzhMWVTQo1iW8eIpJpIZ9voTkbvT8JLNFO7ujPeTV6lv56M20jHfQaD5Yr1KDpMAMvtvHf9S2yuFKi5AkCc4hYMkcq10I+lyIff/hm6+oaBdtmxgpYkTpOLSC16eEFktG0gR88MHPsAX4gKbkBcxWfO5suHmFruuzorNYDHD9gt1Hymi/vHVf1JJ4PJU8ja+kUnftL176s7ges1oNwidGmhyAMUEHYwpVS3p/w9yXFRsBUyeP2hks40h62jAdTJjVPstOrDKSk4gQsVnwmiz4LFR9DD8eBM5ZG1dt9i00nkBQaYc/CQtVHFwIdyNgaG06AG8gdJ/gFgWS9HjBT8pko+hQbARFDUPEkXQmdhr/zc/qBpOjc/zwqW+EcNQR9SZ9GEABhOL87X6PiSn7RG+VEi0VLTOPupseVNYfpskdEF3TFdToTBjE1kUz5Fqlw3lcEQrewEznsRG57ztWzObOdJt6WJt72dc+gYSSaySWaybWtUyw61CM54mmT+JcfGskT6zvD8Q7JAV/Dtgy+2jCNYqa76Eh30dG3zvpGnZqeIp6Lk97lHhtxffoqVc5Wy9T0DDQbxJui5CIafUlj120mDU3QEjM402rTHNUJZBhmKSus2vSoSUwZW+Nks03G1nCDcAw6aQm6E+F2lbuN48ZNjcG0QcOPMJIzw3CW0BrV6Eg8+q91W9zgXEeEoYyJEGE4N0c0htMmyV26bzUB+YjO0bxF0tLYdLZawBr0JcPKUrsxNcFg2uSN7iibjbA7XBOES5tiOw8VQPi+9iQNzrbZDKZN6r7E1CBpaYxkTGK7XSuQsXSONVnYhtgKcYGlwaGcRWxrpl/NC38YrVZ9NtttXukweb7FZrbsMZo1Waz5pE2Ntrix67BE2Q2YLXtUXUkuotMW18ONehTlrySklLv/5FWU74qUSPEMJ+IEAYHYPewAapfmWfvfPqa+WCTy+gjR14exBvNohJOlTH3n69meWOQEbLWuw/+nia1tKx8xWcqX4GxPJNueZCUeP7Er2JqcFQb6wxO7LJ1dAw+2J2fdn9S1fZyhPXoSmheEz+lt9YaEFxtOzLIeNbFra9KbE4TPuf0wXdt6jbtM7JI8/Bq396zRHjMJTQJBED6n+8D7igBz61o1AR8vNvifzhdYrfv859Ek/2EgTk/SeOgzEYClhZPCdnquubLHv83VuLPhkbU1hjImg2mTlqhOzAyfS0W18nWolrOyNz3LYAbQtMeWYDOCgKTrkfJcEiJAi2js2mR6gCAMtbBB9nRXrQu2xluf7jhNgKWHQfy0x27/YHhaxr0fC093rLh3rU95HNvXuv1fT36cvlUcI/KI4yRs9XLcPw6e7jPxZTgx7/xSneVagAH0ZQxebo/wSmeE0Yz11K9bUUCFs6LcEwiBo2t4mo6UgpgneXx5BuX7KmUJjjVZFBsBXXHjidZQf1nM0OhPmYxkPHzpMl30uLXh0hU3ON4UPNQ7oShPQ4WzojxAfulf5YerM27w3w8n8DxJZ0InZT19OKdsjRfbIwxnTAp1n5mSR9UPZ4R3xI1d9/6uexI3kNhfo0dB2R9UOCuKsi9lbI0zLTtWBX9ilhauuW6L3Z9lWHbCtdWWLnbdZW583eHjpTqFekDaDtfQ9ybDQM9GNCy1ldm+p8JZURTlGUo8QZ3puYrHW7M1Lq24WDr0p8I11S+1RzjeZJOPqGVb+50KZ0VRlG9ZT9Lk1Y4oGUtntuJR9SS3N11aYwY9CVOFs6LCWdnmEdTKFEtV6m6AJwVCaAgjghWxiUc1TE3DlwZCaJj6jntjbJHIRplquUrVE/iaTSQWJx43Hj/BStaol8oUyy4uNpFkkmTS2rVE5JPxkfU6DakRGBEsQ6A2e1K+S0fyFkNpg4Wqz7WCy61Nl4YfkLZ2X+7nB+EGM1UvQIhwMlrC/Hoz75W9T4WzAgRQm2fh5k3Gb82zWHKpBQKhWRiJZjLNObrzEI3EaRhdZFIpurLsuq6VxgKL18cYvzHBxAZUrBZa+0c5cHiAoRZ7l3KPABX81ZvcGbvL2ESFIhlahg8wenSIvrTG1xsd9HFW7rI4MceS1ozROUp33qDpr0t7RfmrRQyN/pRGLqJzKGfR8ANihkYusnO3eNUL+GylztU1ByR0JQwO5iz6U8aOW64q328qnPc1B7kxydSdu9y6u8z8eh1HGOiGgWEIhOZDZYbFpUvcLSxQsnuxRn7FmeMp2ncofgF1qjNXmLz4ER98Ns7F24ssb1bYcGJE248y+vwrvPrqcc4M5Wh9aEcpH7w1lm9d4/qlce6uB1R1E8ufZP5akeW1KmtH+zg2kCHxxC+tTHV9gdWFO4yd/5SxW+sUu88x9OMhMhmDph0OEYAmJYaUWLDDrmOK8uylLW3XvdcfFEhYbwSMr7ssVDx0TdCbNDmaN3muJcKBnKkmkv2AqHDex4KNm0x//Ad+/9Y1Pl5pIjHyHC+/cpJj/RlaLIAyjfkrjL3/BW9+/C6f1UZJ+s/RNjyM/5V7gCSozjLz6du898f3eHdBY1XYxKkTrNzixvg4l8ZmmVlrEPwPL/PqcIr09qH+Gv7M+5x/61P+eNEgdfIVXn+9hwHvEpffusjbv51hdull9L9/iSN5/avbeX6FRDaKlOeucOvjt/jjrz/gw4kI1suDRM4EOI8oUSiFwBcCl7CghVrn/MO1vbMbhJu6aLuP0+wJti7oTxocylo0fMmVNYcb6y5jawZVT9IUDWd9Kz8MKpz3pQA2rzN1/vf89p//wr9NxxHHD3HsuaMcOzjEcF5sjfE2Q1xCcZn1m2OsTbgsVKsUSj5eoD9cy6E2T2NhjFuLdabN4/Sf6eLFrgwZbRPn9jucf+8Cf772Fz55p5m2A8N05FOcyoWnqK9NMPXBn7nw6TI3xc94ueswR4ZbafWhfOUKn659zI3PDezhEZInWzn0JJuCGxHsTJ7mrhSZeICzvkltrUzdk/i7vSuaoGzoFHUDXepYNUm04mEZGnEtHOPbrWFS98NiC1VPhluPEu5ulbY0ko9oFTl+QNmVVL1wnF9KiaUJYmZYU3i37R/9QFL1JWUnoOEDImz52xqkbY3obmt4CPeULjpbJSoBZLjeNmmFx+00XCEJt7SsupKKFxar2K47HTUESVN75HrdkhOwuVXkQgAIQUwXpGxBRN/5WgMJNS+g4koafoAnwwC1dYgb4fuz2zpib6v4RdmV9+pW6yK8zuxWt/Fi1efjhTqOH3A4bzGYNrF1jYobUHKDe9uG6gKiukbcFER2+Q5IGVbfKrkBVXerEKcQmAJSj/0OyK2xZLlVhERiauG1xk3t3nIsSw/3KI/oGr0pg+GMyfR2ZTEJCxUPX4aVu5KmRmRrYoXjSxpb9bu3v1PK3qfCed+RSG+N8o23+eQPf+JfzwdUD7/B3/+HX/Kr55oYMsTD21zG+uk89Tf8St8k+sUqf65rmNUagZ94+NvT2MArlnGajtH+0yO8eKyDY502mvCRc30ca9cJ/s93+Lf5q1weW+DG0WGO50CjSHH6Khfeu8z4Ugfx108yONxOqwZoQ3T09XOq611uTF3mgw9vMtySZDQT26FL/UECEcmS6jvG4aYiizcnuXnjLvN6eKPdbXORmqlzJxnnZklQ8S1Y9khoVfIxg9GkzmjW2rGogRtIFioel1YdJkseUoZ7SKcsjRNNFkfz9r0b5ZcVGj6XVsLj6ls30LSl0ZM0Gc2YdCaMHcOy7AbcKbrcWHdZqoYThORW4YvnWm1GMrsPqs+VPT5dbrBU9ZEiDIOWqM7BrMVA2iSzQxGLQMJyzefmustkyWXTCdCFwNYFPQmDU802bbu02hxfcnPD4fMVh+JWwQwhBH0Jg2NNJt0JE3OX93Wi6DG+7rBc86n54Q+XjB0W6TiYNUntUKZSSijUfS6vOoxvuDS2Wse2JjiYtXix3SZqaCxWPP7b3Qqbjs8/kKAzYRBIybWCw1jBobK1UUhUF3TEDEayJv0pc8fPsuFLpksu19YdZkr+1r7cgpQpONFscazJ3nWf9ELd5/xSg8mSR0D4gyBtaYymLUayJk1RfatlD7mITtbWOZS3ONVkM1ZwuF10KTkB78zViBoabVGN481hsRAIfxjd3vSYK3voGnQkDFqjOrYuSJjhD0EV13uPCud9p45XvsW1Tz7iLx9Nc0e+xNFDp3h+uIVBY6fChgIRbyV54gVGtVnmbtg0ywqajPPQ3sMihZEYZOhIE13ZIUbb2Gp9G9B7gtHnr3P8nYvcuLROdb3IWgUC6YOYZn36BlfGN1ngIEOdrbS2bJ9UI9PUTG9HHPvKAuOXx7j5fC9rh3to5jE7HwuBEDH0VJpUKkHcNLAec0zZNLmaTfN2xWbJt3EWXJLFMj0pk7/pjtKXMncM57onmSy6/Gm6yifLDYIgDNnWmI4v4/QmTSK7lBtcrgW8PVfn48UGNS/AC6AlpnOq2SaiQ1tMR9/hOdcbksurLm9OVxlfdxFaWJhiJGOSjmgMp61dZtOHtYr/daLCjXUXTQMZwFAmLBeZtjXS9ldv1kEgmd2qWX1+ucFixcfQwtbc8y0ROhPGruFccQMurjj84+0yi1slIzUNzjTbxM04TREdU//qsQ1fcn3d4feTNe4UXYpOQFQXtMV1XuuM0pEwSO0wS9AJJAsVn78s1Hl7tkbJDRCEPR8/74kynDHoTmo4gWSl5rNa99l0wjAtuQGfLDX47WSVTcen4YdjwoeyJpIo7XF9x8+y5AbcWHf543SNL1YcXD9sBbdENYRIMpqxMHbZgWyp5vOnmSofLTWAcFZ2R1zn1faAuBX+GHmwtStEON9DiHC99IWlBnc2XZxAogvBaNYkaWn3wnnTkVxYrvPmdJWFqk/G1umO6/SkDF7vjPJSe2TXHw7Kd0eF837jF6jPX+bSFzf4Yk4nOH6YoYPD9Mck+qOiKzZIvj/PKakTT+qY+peq/trNWC0phiIRsPnSzOoEWlMXTZkm2mM6xbiBEQWkD5UJNmenmSwYFFuayGRtUg/M+tKjSXJNeRL+Haqzt5lZWmU+6CGj8QTLq1zwPFwv4EmKr2lSEvN8mnwPXQT4EUE8btBia8SN3StLCQERXaM5qtOTMAhkWG0qH9HCEoyPeFstLZyt2xE3cIMAP4BsRCdra9j6ztWaICxCkTQ1WmM6NS8s9bQd7FFd27Em87aoIWiJ6VRciaYBElpjOglz5y7t8EWGQZyJ6LTHDeytKk26Jsg9wY5WSUujI25g6eFzaAKaonrYpb3Li9REWBqzOapTDyRZN8DWBLlo2E38qN5ZQxdkIzpdCYOKG3alRwxB9qGWdvj+SsCTYRUqXYTX2hY3SFoCL4CEqdEU1beGNXZ+UiHC8zdFdLqTBt5W1a9cRCPx2O+AIB8Nr1UQVtRqjumk7LAa1m7H1nyJtn29MZ2AsNu/KaITeWBYw9TZ6s7Xma34XC84fLYc0BE3yNkaL7RFVBDsQeoz2W8qS9QmbjA5u8x80E60pYvW1uatKjy7MYAWck05YrEATTOwvjymadnolk1sx5u0g+/7NPw4VjxFR0eO1mYwZAArq5SW1lmpG9SjCeJJg6j98HmT8SgxUccvrrK6XmG1Dm7sScKZcPx3awz4cdJ1h5eW1ziwWkIfTWAPtmL3ZLB0QfYR47hRXeNgzqIlplN2t55LSkxdkLM1Mo8Yb+xOGPzDUIJf9t4vkmBo4ZhqNqJh7BIGTVGdlzsiHGmyqHvbZSolEV2jJaY/ojSm4GiTTWvMoOYHbI9oR3QRtpqtnbs4DSEYTps0R3R+1h3FDbbOJiBhClqju99KEpbGK51RDuctXF/eqziWMAW5iE5sl+9e1NB4vsVmeKuW83a5SVMPhwx226jD1AS9SYP/NBDnja7ovTFnTQgyVhj24TuxXZozvJ66J2mJ6fysJ8rzrTZ+EAb39rh6xtZ2vdaUpXG6xWYgbW6NOYefh6ltheUu4+oAPUmD/zya5D8O3C83amnhOTP27t+BzoTBz3tjvNgexfHvf8ejhrj3GgGaozo/7YlyusVmfN3l3bkqb87UKDkB6/UAX20ivyepcN5vygVKs3Msr1comwnyuRzppP7IVkhIR9d14sld/vhRLSdvEWdtkTknj9M8wonhcFKXhocsFCltVKh6BjISIRrTsB88la5jWha27oJbplxuUKyF4fysRTyfnkqVvmqFhO5CTof8438C6Fq4T/NOY7WPEzcFcfPp/xpGdEEkptMae/rZuVlbI/uU1yq2Jjalvsb6MnOH/aefhL7Vum6KPt1xmghbu4nHrP2NGYL+lEE+otEc0dCFwNIEnXGDzscvCXiIpQnyEf1r7ewVNzUG00//vsYMQcww6HjMtUZ0QUc8fNxoxsTSJdNlj5vr4Ri3sjepcN5vanWqxQrVuo9vmFgRC9t+1G5ffy0ff3GS5dsLrMYHSA68wLGBLIMmiMAjaLjUGx6+1DEMHcv68vppgRACTQsQ0sV1fdzGN1MxSgqBo2kEmobYKhmpRuJ+uHK2xsvtEeq+ZDhjkjD3wactIGvrtMUMlioBhqYW8+9VKpz3Gz/A9zyCIEAiEFrYjfnNhfMGszemuT5Wxuo+xrFzpxjpjIdj0jKsdB/2OmoIoaFrX52UJuX28qStbr9vqBtOEtZ09rbXOcsn7DpXvpdyEZ2X2iP4EtKWeMzQzg+DlOFwQdoOx+13mOyu7BEqnPcbyyQSt7FMAXWXRr2B4/DNNEWddaoLl7lxu8SEHGLg+BFOn26mdbtLWgKWhW2bGJpA+gG+z8NdbUGA53q4nkAKC9M2sKI7zSpXlKcTMQSdif11C9QEZCMaR/M2cUNjJGM+wZCW8l3YX99MBRIJEk15MskoZqFKqVBgs+jgBl/pT/6r1RfvMPXpJWbdFPqpFzl4ZJhDCbg3XCx0tEScRCpG1KhQchwatQD3wZN4LrV6g7prIMwkiVSEVPyZX6qi7Au6ELTHDN7o0nipzSZhaapwxh6lwnm/SbSS6BumszVDdrzA5uQEc4trlEU72Sc43K3XkQgM23rEdocu/tI4M7fGGVuLofWe4PSZ4xxufyCYAXQDmptItmXIWgXWqyXKJUnN4/4306lTrlQoSRuSLbRkErTZqrtZUb4OsTXzPGroqJ+4e5vqHdxv7DYivcc4eGCQQ6k6TF/m5tUxbizXcR51XNCgUiywslZko9zAC3brBw/w16eZu/Y5N+aqrDSfpHP0CKdbIQ8QePiNBo7r4UkTmesm3dPFQN4n5ayxtlJjvXj/bE61xNpqkYqZItk7QE9zlnaeNJzDBbVCCMTWxDKhad/g+LqiKMqzocJ5vxEJrKYjnHjpDK+cTtFWvsjYu2/xu/enubqx20ENGrPXmBsf4+ZSjWXXYtd5zKvXmR/7mPN3Skx6beRbm+lOC4zaBuX1WSbHLvHp2x9y4eJtJh2Nht5Hc88BTg5GaLbWmJ1dZWlt+2SS6uYaczNF/HgbPcePMdiVv18w47F00A10XUPTBELT0XQDQ/UXKYqyx6nb1L6jodkd9Jx6jdfWCsxXPuLtmQuc/02eWP0spVNttMUsopaGRoDv+Xj1DTZnJik4EdwOC2FHvrKsWTY2qa6Oc+e9f+XfPhzjL2sdaK0Op8qLVG/qfOjU8d0iy/MVVooZes6e5dVDI7TbebIdxzh17hg3PtjgwsRF7o6lmM2ksbw57tya5UaplfTQKUZeGmWkPY7hlqlvrrCyVmPTjxNvytPUlCD+4EzvwCNw1qltLLK4uMTSxhrLq8ssLSyxXGimJ2NimzsXlVD2By+Q1P1wtYCtb21Gor4Qyh6hwnlfsqH1FAdeM/gHLUnqzU/48M6/8KeZ81x7f5iB7lZ6mm1sGjgVF89IEGnqpXtwhOHODG2JcOONBwXrt5n56B/53b/8jn/6YIHxWpJIJsv1hMDWJU6jTuDVqUaGSBz4O/5TpJUmQ8MGjKYh+l79BWdLH7L52ecsXQr4o2ghV77BzHiB2ZYfMXD2NX5+PMtAElifZu3Cr/n1nyf5rHaAkV/8hL/5m8OMaBDZviC/irs2xeyNm9yamGOhvM7i8jSTN25wu8OkdyRHR3rnohLK/rDhBIytOXiBpD9l0h439sVyqv+fvTt/juM8Ezz/ffOuuwqF+wYBEARPkSIl67BkWbZlu90ez0zPdMRMxMbu/jsbsT/txkRMbPResxE7vdM9R9vdPmRZF0VJvEmQBEGQuAtXoQqFuqsy890fCqQoibQuUCqi3k8EKQUTqMqsI59833ze51GeDio4tyotTnDwBU7/JEAw1k7HuZtcmCuxU86Rz2hsihBBy8AQOk4gRrzvAH0jBxjuAOdR5y+ho1kxwoPPMF4/RG/dQzfB2y27iOfiSx/ReYzuZ5/hxEQv3ebuB9BK4oy+xDMvmaBPcc8rU8xm0aoaZs8xDp98jhMnDnI0Jnb7K3vg16hVKxTKdWq75Ss/vVsCNBvNGqDvyKu8YubJhkYZ7LNpt4S6n6OwVfF5J1WhWPN5rb/R4CLwmAYlivJtE/LLdARQ9rEabiHHTi7L5uYWmcwO+YpLXQtiR9pIJuMkExFCwTDBoMXjKinKeolqYZtcoUqx1igYIpD4/ie1piUgrBBWOE48HCT2qSgv8Ss7FLfX2VzPkin61K0IwbYOkm0J2sIWwQcZ3Fmqm/PMLORJVdvoHOljdChBWDw0rS09pFulWilTKlUo13w8zcJ0ggQCAYK2jvmZXsnVKyvk/v053LUdgj+aIPiTCayx9r19uZWmcWGjyv90aZtMxeNfj4f56VCQgRZY91zf7XVdrPsEjUbjFbWaqvns/0+i8gUsjHAHbeEO2vqAao58oULJM9GdKNGo8aUyo4UZxEkEcb7MeqxHPwKaEyPSHSPStkNXvk7VjhMM659MVT/Y5Th23zEmOyVjvo5pCD43Gyn0xj6ZQZzH1QNXWprrQ67qk6k2ApXXAoWm675kpeByfqPKUt7lcJvFD/sDn2pJqTQHFZyVT7NjROwY32k8s6KEkvD4ev4CMDBM9QFWvhldA1MDQ3t8S9D9xPUhVfR4P1Xh+laNug+v9AVU3YAmpG69KYrSkjTRyNIOGY1WkI/pCLqvSKDmS/I1n+2qT9n9cu1UlW+fGngoitKSko7Gy70OlXqjK1XoC1pM7geNyQGJEDzo5d0CEwZPJRWcFUVpSX1hg78eC+NLSczWWyI4A2i7fasdQ6i62k1MBWdFUVqSo7deVypdQIejc7LDIm6rrlTNrLU+mYqiKC3M0BoXJK/2Bnim3ac9oGOo0XNTUsFZURSlRWgCIqZGIGbiSokuWiNL/WmkgrOiKEoLEQJMXWCqVLCm1hoZEIqiKIryFFHBWVEURVGajJrWVhSlJZVdSbrsAZKErRE0Gn2/FaUZqOCsKEpLWi16/Ga+RNn1eKHb5li7TdxWXamU5qCCs6IoLSld8XhruUy26hGzNIZjFnH7u96rJ0sCdU9SciVVT+IYgqilqdSwJqSCs6IoLcmTUHZ9CnWfir/bd3yf86Vko+xxNV1jueAyHjd5udfBUtP5TUcFZ0VRWpImwNIFli7QRWsEJ9eHdNnn0kaVqUwN14cXuh2VGtyE1FuiKEpLEw/92e98CSXXZ7PssV702Kn5qitVk1LBWVGUlqaJ1unnDOBKSc2X1PzG1L7SnNS0tqIoLSliaRxNWhTqPn0hHadFOkBI2bj37LXIffanlQrOiqK0pL6Qzl+Ph3F9SXdQJ2Lu/+Asd//4UtBY4a2ic7NSwVlRlJYUszROtFsP/cv+D1S6gDZb51DCRAgYDBstM53/tFHBWVEUBWiFlDBTEwyEdX44EOBYu0VPSLWMbFYqOCuKorQITUDc0ThiWtQ8iaE1RtNK81HBWVEUpYUIBLYOtorKTU0tpVIURVGUJqOCs6IoiqI0GTWtrShKS6p7kqLrowFBU8dQQxWliajgrChKS9qs+JxbK1P34HjSYiRmEjDUfVilOajgrChKS1ovufxmvkSu6iNlmGRAJ2Ds/37OngTXl3gSDAGmLlpgEdnTRwVnRVFaUsWDVNFjq+KRrnpUW6DQtOtL1kseNzI1UkWX0ZjJ97odTLXWuemouyyKorQsX4LvN2pNt0KdaU/CWsnl3ZUy//lukYsbjbaRSvNRwVlRlJalCdA10BC0QkvnRstIyVbFZ73kk6+rlpHNSk1rK4rSkjoCGj8eCFCsSybbLMIt0vjC9aHiSSqexPVboaL400kFZ0VRWtJg2OC/OxRBSgiagkALrKUSgKUJIqZG3NYIGCoZrFmp4KwoSkuydEFHYP9nZz/M0AQ9IYMXuh16wzpH20z0VpjPfwqp4KwoitIiDK3Rx/rVPod83SJiaqr4SpNSwVlRFKVFCMA2GqPnLilBqK5UzUoF5z3nI3dSbKWWmFsrsi0SRLt76G6PEJE56lspUut5trwIga4BhoZ66A6BgQf1NOnlZRYWMmzkDexkL70H+ujrDhPmUd1mJd7OCttry8xtaZQCvQwMdDCQtNUbqyjKYwmBms5ucuocvud85Ppl5n//n/g/fjvHZf0ZDr/xl/zslYNM+HcpXn+Ld967ztlUAvvoj/jRr97gJ892MGy6UF1k5eJ/4b/+x7O8eV3DOv4GP/kffsWvfjrBuADzEc9VXbrAzB/+gb+djpEe/jm//HmYLhWcFUVRnmrqHL7nBMIv4G3d4961q1zUotjPuRRNh5DVhtHTQXu8Su3sh1ybL1PQo4RCLxI/FiOuRwnqPmZmmqXbGTbKPXT8opi4vgAAIABJREFU8Ae86MKI+ajgDOWtTTbvzLKZm6ASjqMHDVorxUVRvh7XbywnEoCjC3RVJUtpIio47zkdEYnT1t1DR/saHbKNzs4uOjo76I8nEQNxQkFJfv5v2HjzY67+oZ/Bg/0cO3KKqDPK4NGX+PFrl7i1dIG3ajky6xlWNyTVXkHgU+cOCeywXdLY5gAHTjxH/+tHODrgYH1HR64oT5NcTXIrU8OTPgeiJl1BA0vdgFWahMrTexIMA9N2sGwb2zKxLAvT0jB1A8MapmtwkvHBCN1ig9LSLPPLmyxXoSQM7IExjrzwDCeOJIi7KRZv3ePmdJZc+bNPUoLKXdZyJe55o8Q7D/LcSIABW61bVJQvY6Pk8U+LJf7+bpGr6Ro7NVXHUmkeKjg/CVLiS4lEIiUP/vvgq68HcAI2QQtMr4bn1qm44AI4HUQmzzB5dIQDdpqdm1e4dnGWxe16Y/t99Rze0hXWs9usxg4R6Bxk2IHAt32sivKUytV8rmxW+XCtytxOnWJ9/9fK8iUU6z6LeZdbu80vWqGm+NNIBecnTiIbEXpXjUopTSZXZscLIiJJ4rEwbSa709Fx6HiG0ckjnOwXRNM3WZi6ytRajo2HH3U7x+b1u2xvV7DGRmkb6iX6bR+aojzlPNn449MaZSxdKVkuuPx2ocT/fjPPe6kKdRWdm5IKzk+SkPi+S71SpV6TVMsZigtnufbOH3j7YopZ0U/i+LMcPTjEsAk2ADqYA/RPHOG5450MGEtszlzm/PQGd3P3H7hKMbfJ9I0i2XyAoUNdDA5Y6s1UlK/Al+DJRl9jKWmNxhc+bFV8rm9V+WCtwux2nRbolPlUUufzJ0WAED5+vUw5u0FmbYOl+RnmLr3P+XO3mC4kCBx7hRffeJkXjgzSp/NQlrVNdHCCQ6cPc6jfR2xMM3XhHjfuSRq3ntfIZFa4lo6T14c41B9iOPZdHaiiPJ1sHTocnZ6gTszSMVvgbNhofCGpeZK6jwrMTUxlaz8hQgiEpoFbpJJZYPm2heOl8NZqFNue5fhf9vOjw89z5vlDHO/RP7dMSiTG6Dp+mqNjl/l4bpHVK1e58b3TbB6OM1i/R25tgUWjF6vzCCOxAO0tcNWvKHupM6jzs6EgVU9yor1RynK/kzRmC1wJnv9QHozSdFRwfpKkQBMaugHIGr4Ionef5PBkP13DoxzoT9ITfMzvGp0E+k9w4sgYxy99xO8XL3Hn9otMpQ4T3F5ka3ED2XuU2OQo7bb1yDXQiqI8XldA443BAAKIWDp2CxQI0ICAoZG0NTqDOlFTU6s7mpQKzk+IlBLpg7CjRHomGD52iNNBH1OzMENRIrEAoT97oW5gRUaYPHaYZw/d4PzHMyzfucTZqSjllSzllKTz2XYOTEYJqhRtRfnKLF2jM7j/R8sP0wUkHZ0jSYuQqXEgZqja2k1KBecn5X6SiRHEiffQOdjHgceNkh9DmEnaDp/k2PNTTN65wtWZtzj7FiwVyozFhzg00MmxboHdWucXRVG+Jl2DzoDOmU6H8bhPR0BHV+ePpqSC85MmJVJ6+B548NVKa+o29I/TfWiSseQUMzMfc+djn5XoKQI9p3g1luCA9uiynoqiKJ+lCUHEEowlTHzZGEmrBhjNSQXnJ04iff/rBWcEGEGsUBhHF1DMUMiuUzbqFAli6qYq1akoyleiCbBUQG56Kjg/CbqOoQmEECA0hKaj6181MN9noOsBImGbkGNgYGAHAgSjAXRTfcEURVH2I3W34UmQEqSP9D0838eTAvm11hMKoJ1E5yhHJ7sZign0Yh0n0U7HxDCxmL3HO64oiqI0AxWc95D0qpS3V1m/M8PN6bssrCyyujrP3ekZpm9vsJitUHG/SpQWQJhwzwGOPT/J+IEhEkYHw/29HDraRXtUTXwoytflS3aLcciWKN2pPF3U2X3PSHy3RDE9x9LdBW4u71AUElMUKCzPMnd7iPnIELGAiWN8xQnuaIKOoycZPe1yTGvj4HgPR/sg0iqXVrJRn1xKidQatwo0UOszlW+kUPdZyruApCdkELM1lRylNA0VnPeQ0EzMQJzo4GkOvhblX03s8JroINRziNGBKMmQifl1GrprMfT+Mxx7vRcxbDFwfIADFq2RDFZPs52aZ/b6CmulIMEjk4xM9tOntcjxK0/MZtnn90tlyq7Py70Ox5M2cVsFZ6U5qOC8ZwSaGSLac5Bw5xjD3/P5kZRIBOJBUtjXvTIPgT3G+KkBeg9BMBQgTIuMHN085fQ01//wPhdXQiT/KoyY6KddBWflG8pUPN5PlclUPZKOxkjEJL7Piwbcr61dcRv1tW1dELJUlbBmpILznhIIzUDXvm5m9uNoQIBwJEA4sqcP3PzMCKH2JEFToOWzVEolyrKxLE1RvglXQr4uyVV9yq5siSYQni9JFT0ubVRZzNc51GbxWl8AS5UJazr7+zJRefoZMSLdQ3T19dCTCBCzhbqiVPaMoFGYQ4jWaBnpSlgvuXywVuHX82Wupmt8pRxV5VujgrPS5ASgoekamqY11o4ryh7QBNi6wDEElqbxddJBnjZSQsWT7FQ9clX/K64eUb5NahCiNLndCmu+VO3tlD2VtDVe6QtQqvtMxE3CLVDURwJ1X1J2JSVXUvVRy8ialArOShOQSF/SWG0qGn8LrTHVSGO+UYj7FddES0w/Kk9eT8jgVweCSAlJR2uJfs4aEDQ0uoI6gxFJ0tbU9GmTUsFZ+Y5JfK9GvVKjVnNxEUjNxLQcAvb9MqgaQmhoQoAmEFqLZKorT1TIFIzFWqttjKEJhiMGf3kgxIs9PoMR4+st71SeuCcXnGUdr1Sk7BtIM4hjaTx1F6bSQ9bLlMslCqU65SrodpBwIkzYMRsvnixTy2+zlc5T9B2sRCfxmEPEUAHkU6SLWy5SLhUoV13K0kF3IsTCNiFD4nsurrsbnHUd4d2v2lSjXtqmkNsik91GZvLkCz61iIZ0S1QrVapaEMOxCe1tiryi7DuG1pgx6AmpcVmze2LvkLu9xlYqxYafQEsO0p90eOpKQcsa7s4y63evc+3mCjcWNIzeSU6/fpKTo+0kAOQGO3Pnee+315ip9tH5yl/w/LP9HIuo4Pww6RUpbc4yP3WJW3OrzNQGCI68wCunRjg9YGIFNHTLx2e3ApiuNZrAyyKV7Do7uU228ju4G9tkMzUqQQcvv0Y2tUpKdmF2DHOgwyCsArSiKPvA3gdnt4S7eY+FxVXm8hYiYdCvf937hI0GEr4v8KSGroH2rY6+G/vtZ+fZnDrL+x/r1MZMoicOMTn6yT5Kr0J5J8dOKUqo5lH/zCHgu/iAr+loQrTsPR5Nr1LcvM3sB+d4O3eI0AtjDI8OcmbIRtd09EfNMEodzWqn/8QZTsfquOMDDBkCG0AzELJKZWmK1dUt8uOHGemN0Pu0XQQqiqJ8xh4HZ59q+h6LF85xPWuzPfACk519DCUtzK8zoqnm8Qo5trwgdbuNeFAQ+jYjm2ahR3pIxiJ0GXm8Mqzv1CjUHiqUr7UR6jvB8VfidNeiREfj9DqfrFFzq0UKW1lquomZbCdg6jjf4iE0C6EHCHb1EE/GcKo5apk0XrlOxfuCqzYRJdj1DCf/coLDdYm0AthBC0cHPdJNor9GT+odtubmuZQXZGonCI/aqJ4gypdx/3usZrmUZrOHp7A6FG6TunOBt65l2YpMcuL5LoY6bJyv+yyZFNt3bzKtDVIdSHDEFoS+1fwNDWFFicTidMVsglYN129U2fnkyxzGSY4yfqaPEaljhMPYD/bRpZRLMXNplnKojd7n4nS3aHBGmGhmO9FEknhAw9FdavhfotKXjmYGCcWDhD63ycKO99A1NsRG5jJTlz9gOl+nM/EcE50m8SdyIMp+UXJ91ksevoQ2RydiaRgqSitNYs/GobK+TXnmPW5eusqFXCeVjkmO9IXofVwk8mrUq1Wq7qPatflQz7F+6xIX3/2QC7dTLNU16t9JMWWBbjuEwmECjo2hi89cZWtoRpBwWxvxZIywrdOIzTX80izzUx/x/vs3uDSTJY/GN7q2kC5urU7Na8K1iX6deq1O/bGLkQUQwLSChMI2QUdrZGJ/0+cVIUKjJxk6OMJw6RbbV9/l/RvrzBbUqmjlz9uq+JxdrfD2Spl7uTplVZBDaSJ7FJw96oVlbn10jWtXVqnEuugY76Mt+Ji5bDdHYX2Rlfl55pfTrJfAfXi7n6Oa+pCrH73DP75/h2sLJWqikWn4uYcqFijtlKlKAB8q2+TS26SzNWqf+skalDNsraXZyJSpfJXD0xrVqbQ/G0yqUCtSrPnUAVlJk7vxDlfe+iNvX09xa1unjvGIZg0VqtUa+YKLrBVxS9uk03ky+dpnRpVlattrbCwvsbSaZbP8VQ5gVy1PtVgkX9sN7n6R4tYmmUye4meLEbh58htrbG7tsO3y5wuA+HnK6RSrS8ssre+QcR/3gxqapqNrYo9zB9po7+jmyEAVkZ/l3Ie3uTaz85n3X1E+LVPxeT9V4c2lMjPbNQq11rqg86TEk+qCpFntzbS2l6acusmlCymmlmIkftDJyGgA61ORzKOeWyWTWmBpbYf1govrlqlVPaqijbbBcQ5O9NMTlVg791i6fpYPL1zm3C2BkbhD340bTFUTyJhNm1WimFnm3sIG82sGZjzB8LCJWUuzfHuBueUKlegwvUdO8MxIiB6xQXr5HjdvLbG4XqYcHqb78AlOHO7nYGeAL8wfetBPGBojwEZSl3R3KG+mWFlYZGFune1AH9FDJzk04JBYu8G982c5//E1bqweJL9wj1tXrhEY6iHumITqWxTW7rKcSrNSj4EZIik3KGykWchHiR56lpPPT3AwuIPcXmN5bYet7A7F/DaZ7SpVu4Pk8CHGR3sZSpqP6dDk4Zez7GykWJpbZDmVoxrvITLQS9TNUJ6bZmkpwzqdxA4c4/iJHkaiNQrLcyzcnGY+lWNDthMZPsaxExNMDkWJ6/ev6CTkV8isr7K0USCdr1CtligVXTw7SXxgnOEDfYwkH74geeh13NNzgsCMtXFgIklsep7l85e40d/N8ok4AzrfbLZC2bfKrmQh75KueGyUPaot0PnCk7Bd9ZjbqZMu+/SGDQ63WWo6vwntTXAuzlO4d53p5RqLfg/D7WF6Y3zmDd8ifesdPvztu3yYaaM2cphDHUW4d5UrV7bY6f8Bz/6LX/HzEw4DuTXW1jdZy5YolT1Yuc3slfM4uXGc0ThmZI3VK7/jt7+7zluLPcQPTvDj5wVONcWVs7e5M73EljNG8Pgv+YuXevl+8h7zN6d5++wtVlY3WGOIwMRP+cW/+jHhn44zrH+FhJDdSlWN4JwhP/c+F//pLf7hT8us9/2QU/9mmEgkirG+zOZmhs18mXJ5k/T8dabO6/i1ZxlKBukpXOPuu7/hD+/PcEMMER4YYUisU1lYZKHcSVcphjnUSdi4Q2lmigsrBhUrQFzbYOPaR0zN1cn0vc7pn/yEf/mDQQ4+cg1RHa+wTHr6j7z76/f548U87sQpjnz/GO2FFLlLZ7m7tMKtbAKj7ww/+hdneGnSIH/xIrfOfcTtjW1mNk3MnjO88Nf/hl9GTvNcB4QB6hukb57l0qXbXNyOQSJJj5MhP32F6fkKmZ7vc/z1H/PPvj/C4di3sL4pGCLc00PCmMFcmGJx7jC3to8QT0Lbk3925SklPvNnv6v7ksUdl98ulLmVqfP9PofxuImhulI1nT0Izj7+1hIbd2dZzPnkOzqJRQO0f6ptYgl2bjF38V1+/+vLTPe+yrHXDjM84hL2l1j/6Cw3p2xKB84w0TvOcLyd9uE+ervbSMyVqEeSJLv76O2N0xYPYwdiRPUaVu4uy3c2mSPMyJFDnBg6ytFTYbqMApemb3Pxg9/xT9WT6C8l6eg+xvHnQwynLnP+/DLXL3zA+eEhjp0eJdGlfYXkocawTwJCC2AnDALGDtmlBe7ll+jO1igYJk68l97uTvo61giXIgTinXT29tLbFiUZsQmZMWytTHnlNndzdQL2AfqPTnKkd4hBN0rsSJi2+iIz12bYWiohhw4zPNRNn93LoDdLYf4DLr1fIe0H6ej7JcEjMfo/N3zWEVaAYFxgyzTrd+dJFWMYByaJDowydrJC25CD++4MV6//iXfsGrXaKYadEQ6cMojlFzDePs/tux9w6eNj9B46ysGIQ9hZp7x0gbPvXeXcbB1t8iCHx4cZCRaoWGtUt85z5+Lv+FNZIxj5JeapHsYj8ERPf0YA0d5JPOwTKdwlvbjC7RWXIxGDNtX4WXkESaNNpC9pma5UvoSdus/cTp1b2TpjcRN//08YPJX2JDhX01usrmyQcR2IRgk7FiEePhVXoZqjVHfwEscYe+YMr754hGOhMmwPcXDA4oNbG6wsbrCeO4o9Nsb4qUUm/3SVS9dz1AeOc/jFV3ltXGdQE+iinUh6klOTVxiaLzMfiGEOfJ/jr49z5Mc55K0O/vE//B3pf7zL8uIQi2/8lOdfO8SZSAa5+Ud+/e/+E//nf1kmO7fAnXWPyXaN+Jcd3O1OcXuAsDqIHZzkyJkjTP5pg+2SRlAX6LEoichxYhsfceTyEu/m+ugYP8PpV1/he+0OlhBoWLj3jnJ4+CrXFpJo/c9y6ucv8VfHo1gIBPdI37rA/3fpLvOlbr73XA9jw13EiNN9/BjZezO8f3OWezevcnH2VQ6PPCo4mxjRfrqPHePYySnG38uyQxAzfJCDL5/mp/0/RK9f4Ejib/i//+Y8F2dXuXuqn9O/OMHPx20sd5qL8f+Zv/v7i5xNzTE7n2dn3EbWpkldfos3L+W5F3yef3nmRX5yppc2IZEn4gxGJJn/5Z/4w8e/4/d943R2dDB+2OCJNkETFsRihGI6YZFlc32TlaUS+aEoj5nzV1pc0NAYi5t0VDW6Ajp2CxSwETSGF5pozGxqojVmDJ5GexKcSzsFttI5Cq6FFggQMPXP3Md1IDjO0AtBftEhiIz1MxbaprY4x92pO9xNl0hXElRKNVwXhOaghx0Cjomp62AHCUYsIub9HQ6gB4NEI2GcoEMo2kl3Xw99EQcHB0YH6e/rpM1IkbfDxPv66eh0cOiFwSH6+6K06ykWCnm28x4V13x4mP8VaAg9TCgWJhRwCFRE42F0gTCD6I5FwNLRdQvTCRGKhAg+eMUjOMEw4ZBNJJHA7Oqnu6uLWGB3cyWHtjLF/FKKq4UascsXsXYS6G4drbjFUjVEOBmhPapBtU6twm7biM8QFlowTCASJuQEidpJ2nsH6O6xCTk2OKMM9LTTF9O4LSOY8QE6OuNEAwBjDPV10hP3kbUC+WKFqluhunaHmctXub3VS613gO6ODjrN3QMzjtI/McuxoTf5aP4Os9duMHfqEP7h3idcfMWAQBAnZGFrVcrbjZKqpUoUYk/0iZWnVH/Y4K/Hw9Q9n+GoQdRqjfJAEom/O2Og8sGa154E53K1SqFUoe6BbpqYuvaZBw5AaJLRU71096bYSm+ydmmR9PYOa5kiO3WBr5mNCmDCB+qNgFP38Hwfz61Rq0D1wePVwXNxpY6vBQmGYrTHDBpxrQIuuFYEy06QTMTobHd2LxbKgMQ1TExDYCKRnsT/4sW2f/b4Xa/RVenBtJgP+DWou9RcH9938epVqtU6bmi3JjeNWtJSCMxQkEAogOH7PBhdrqywtbzMZrXOtmZQK5WpZjVqrgskMAZf5HttdWTbBH0HwnQ/dnToAT51D6Q0CUYixJKRhy4SoC4tnECAeKiNRHuCyIMLFZ+aNDFsA11KNCrg71BYSXF3do1svY9EW5TQp5ILHER4kMHhTnouzXB3dZ6d1Q0kvd/kRf4SNDBsDKtR8MarlqkUC9Trj7xkURSSjsYrD9Z6tkaU0gTELJ2hiEGpLukK6urb0aT25p6z7+G6Hp6UaOLxy43kziJb0+/z7pUtFrRReo8eZuhEFjMzxXTRZwmJ99gbIBL5mUf+JHu6sf0TjX8Tn5uy2T1RC9FoRbgnV47yy3+v5cNruuVDf3+WD+USxUKFghfH6T3M0ZdO8tpoBM+XSHH/+ASaEcAMhAkF/kwIkg8f6O77I+//1XhNxONaMQqB2F1CJqiDV6BcypPdrlIq+yQe8TuGGSYaDRMJamiVCn6l8i2c+gSgITQdXQOJh+d7SKmCs/JltMZnxBCCvpDByz0OI1GTkajxyCWqyndvD4KzQNM0DENDEyB9v5Fk8fCPyDLkZrnz8Tu89cdb3Kp10fHSMIOjY0xUN3CuB4g5kpT2qGApduPpo4K+BHyk9PF9+clzPlj6JBv/7vkP7c/utt3H/la+kvf7EPPoU4CUEun7u4GksV8IDVwfP19BShtrYJyevke9XR7VgoSahC9sFi93Xyv/oSSQT14r6ftI33vEtvt71TgCITTwPbxSiWqxRPkzUw8CHcsysQM2um/z6KLZT0Lj+KQETTPQDavRZlJRFKDRmyDpaJzosBlP+ASN3QYzStPZg2smnUAgSDQSxBHgVqpUPO/TBSDq2/iLZ7ny3jl+fcEj236K7/3seV4aC9GllXHLNUo18NHQH1Sn+CRoIHTEp7K/G8FOE/dHfOKhAiGNLAdNe3ib9sk2tMZI8P7vatoXZ2l+5rmE9nDzCvH4x3tofbQQGpphfO73tId+T3vQV1VAJEY4GiBSWmHnzmUuTc1x9VMxsALlaVYXZri5VGQ9/6hKa5+8Vo/ex93XQ3x62yftXRvbNNGYspfCQtOjhOJtdCZsAtUMO2spVgtVip96Ro96tY4wA4S6ewkkEw+9lNpDr2Xj8feGB14Nt1an7mqYTphwJIxlqTOPotwnaPR0Tjo6/WGTNkdXF7BNag+Cs0E4FqWrPU5Ek7jFAoV6nU8VsKoWKadmWZ6d4+6WRzHURUdUIwjotS0y2SLpAnjou+vtJAjwpd/4s1tGwngQfQToOrq+G3Q0DV3Xd4O3vrtNbwQCTUc37m/TgMY2DYGm6bsVq77oVdIxdA1NaAih7f7+fbuPJwQCDU3X0XV20yAlwvfxXR80DWFpjapf0gcEhn6/WpaO0A2Mh3ck2UNsuJf+UAZv+m3e+a9v8pt3F5kp7W4vLbP64UdcvXCTmXyNrPm4WYCHjlkINNE4Zu3BlY6Oputogt3Xw3hom9HoFqU1XmeJhW5EiQwMcnC8iy62yN+bYWa1wMpDzyi9ErlMGV+L0TMxTudQ54PXS9d3K61pu1PQ+l6lyLpQKlIp1Cj7Dk48TrIjQiC4Rw+vKPtMq6ztflrtwbS2ht3RSfdQHx3OKmu5DDuFKnmgi93oLzR8zcIyahiVOZavv8877zrU23Xk9BLL2SKFXJ3M4m1uz4yyNB6j3bCxQzqWu8nG7EWunZuga6uD50ZitDkFvGya1OoGWxsmmcQGqbUs6X4HS+RwN9dZS62ymUmT3twgtbLJVm8XXfoOXmmNzdQqG9k0axvrrK9usJXrpNZu8PlkTYmslyhvrbOSWmdjPU/GXWd1NcNGqZOI5aFX0myupFhPb7C6004ktc56eoBSRCMYDBKwPbSdBVamPubjc1H88WEGgzpt5ibbG2usbWRY3VjGWZxjYbWT7c44EUdHD/UTO3iK0yenuD1/kyt/+jv+ayVLdeEozw45GJvLbNzdpJAcp+ewSSD8yAlzcPNUd9bZTK2ynkmzKtdZW10nvW1TjnlQXie9tsbaZpbVwjqB9RSbWZNSCEQ1xdbGGqm1DBvlNZyVFKlsgvG+Q4w//wIvXH+bXGqKqQ8+5q1OHbPfIkKRrZk73NqKQtchzpye4MhwGA0Xv5Iju5lidT3D6qpOcS3F6maWXCVJ2Na/2fSarEE2Sz7nk9M6iHV3MtTvEGvJLiOKojzt9qZCWGcvbeNjDLZtsZLfopApk3ZhxNgNzk4EZ3CMoQOX6Ls4w613/1/+trLI5ZFRDup5hB0kYaZZmP+YDz/u5cjEaV49mKS9r4Pu8EdM3/wn3vl7jczJl/F/cJiX+7KU11a5s5Qmt61RTK8wP7vC0kiYkLFCYW6ZewtrZErbZLZWWbg9z8pAgO7QGpV78yzOr7JRzrO5tULq7l2WD4aZiEdJWp+9kvSQxVXWV5a5tbBJOp2jxAqL91aY3+gn2V7GXllm6fYi67kMm6VNwvN3WZw7THpCZ7Ctl/buMO3+Pa6czfHrYJ6VH/2Ml4/2MqndY3VpkYXNEuvLy9i3r3DjTjfHB4NMdgcIiiShvud58UeLZDI5tv90i+nf3eM/XG3nv4UCRJPDdB95hRdPHmWyJ0TvI7O1fWQpzfadRZbuplgv5tjU1lm5N8tKKkZalNFSd1leXGU5V2Yzv0pk4TYLqTCbEYGxdovllVUWNqtsF9cILc0wm+rhxIFxOp79KT9b2Sb/21ucv/Amb4sy9plO+kmxPnuXO+ZRYhNnePWZfk4kAarUt++wtniP+fUi6xsG7vIsC0sTzGXCHOoOfrPgXCsj05vkChqFyAjDQ71M9Otffv260nKkbKSZNgYQagypNJe9Cc72AJGR4xw/cJ31O+tkN/MspuFU126OkhHFHHiOo68W+FUxQddsmbxlYTtR2geO0zNiY3am6NjsJNoXJmAFMcwQg8de4tVflPBvZEnFbZJRG9sx0I0AeudRhl/w+MteSbX9KJPdYcK6hqY7GLGDDD77Y36WqJKPHWSsO0TS0NF1B8MeYvCZH/N6qEA6MMrwcIAuR3vs/L7QDIzkQbpP/Yw3IiVykUOMDCeIGxq60NGMbhIjL/DiP+unu9ZJ4nAnIwEN3TCh/Rgjp1/nZxttxO/V0MNhoqZJ2LYwiRAfOcOJnyQx0jb6YD/jHTaWfv9+tokePMDA6Z/xYy2I1nmBD67Ms5iTFLUI4Z5xDpw8xbEjo4zGP7uu/CGajWYP0nvkNX4ojnPEGqZ/NEqvo2NoBsLsoHvyFV7wJ+iTfXRMxuiPNqaydSsW9OdXAAAgAElEQVRC8tDLPPuzEWLVTuIT7fRFDTQRxu59lmd+VKJi9xC/VSFHjmLWJmv5iNgBRvsO03/wMM/0h0kYAAKh20T6jjL5Q5NfHLFh8ABHexws/TGZ4l+BLObZXlggWzPQxk4xPDHGRJTPt5lUlF2bFY+rm1XqPhyMm/SFDQKqyLTSJISUe7EM3cPNzXDn7/8dv/t4jQs9/5YTr/+U//GMTdKCxnKjOu7OOluryyyu19nRkyS6OhlISpz6FusbJdaLQcId7fT3xonaAq2SZmd9hflUhZyWoK23m/6OMDHTx69XKJWqVFyQuoXlBBpFS4SLX6tQKVeo1CW+ZmE6AQKOhaW5+LUqlXKZal3iCnN3m4NjPSprUYJXp14tUy5XqNQkvm5h2A6BoI2tS0S9QrVcoVytU5MGuhXACQQI2BqmqFPbXmNzeZmVHUk11EtHdyd9CQubOl61TLlSp+qCMO3GMQRsbOPhhLM6XjnLzsYKSwurrGQ9aoF2kn1D9Pck6YjZhB47OpTg13Grlcb+131czMb+B2xsQ0K9SrVcplLzqEsDw3ZwHBvHBNwq9UqFctWlJnV0y8EJOAQDu2u1vRKVXIZseoP1rQIFz0YPxYgn2ojHYkRDNsEHsxE+0m081/1jxrSxHYeAY2Eb2je4/+VTvvceN/7z/8Z/mw2ycOi/543XT/Ovj5pf6eqzemWF3L8/h7u2Q/BHEwR/MoE11v6190ppblfSNf7XaznyNZ9/Phri1b4A3Y/rpLePSD6ZNRCIhxJAlWayNyNndIxwP0Mvv8ix+iXuTt1j+8ZNlo8+Q9gS2AgQFkZsgK5YP10HJXWpYT74HnQS6YIRn08nZwW7SYx0kxgG1wfjoe+NbjrEgo8q/qSDYWMFY0Qfu+3zWx5NgG5hBi3MRz4eYIcJ2mEenXdkYSUG6Uv00YfA5eHiLCbYQQJfuCsmeqCTxFAniaEjHCr7+JaD86XOIQI0CyNgEQlEiTzqR3Szkdn8qG1GY9tjc6r0IE5bkJ62HnpK22SL4FpRIjGTz9/q1RBGACcSwHnkjnxdElhie2uRy6tJqvGDvPS9UZ4d+mqBWWk9JddnIe+ytduVqtYCXal8KdmpSZYKLpmKR1dQZyxmYqgI3XT27vylhwiOv8B4zuTMxh02sje4O9dJaLSdwbCN+aAgSGOp06NWvj42a1p8OjA/fRo7/81fbAsr8MU/9e3TIZgk8a1nRrv49Ryl9AyLa3ky8ZP0jRzlpYk4I3t6AaDsRxoCfbe+9MPr+fczV8JG2eXDtQqz23VOddqMRNWFbDPaw/dEA/roPujyWsXlyswOK9enue0fxDk6QKel+g8oe0zmqW4tcmdqk8Vsgr5njzN2ZIiRuKU+a8pXsuctxpuU70O26jOzXWMqXaczaNACEwZPpT2+YDKwov0MnPbxQwvo8x6iXKFYdHF1HUuVolH2jMStVCgXK1RlB9H+TvqPHmCoM/D4aXhFeUjQFIzFTDoCGj1BnUALDB8lUHZ9shWfdNmnUPe/8HeU78YT+Dja4AzRdyhGpLtIrhpAq9WRdQ1VJ07ZO5J6zcQzO+k7PMRwtI1Y2KEpZ/2VptTuaPygz6HmSw63WURapCuVhsDQBIaGqg7WxJ7QtaKFEeikLVAjUvEo13RMFZiVPSXQzBCBuEM0HMJWCS3KV5Swdb7X3UhdjNkaTguco4QAx9CIWhoxWyPwVOfy7G9PeCLHwnTAsNUaf2WvCexAAAv12VK+noAh6Au3wFz2Q3QBbY7GkaSFbQhGooaa0GxS38onU508lSficy1BFUX5c3Qh6A4afL/X4Zl2m4StqWVUTaq1LhsVRVFamCYgbArC5rfVxlX5ulojA0JRFEVRniIqOCuKoihKk1HT2oqi4Ps+UkqEEGhaa1yz+xJcv1GBQ9caNabV3df9S0qJ7zfWde9dH/knRwVnRWlxtVqdTCbNTi5HOBKlu7u7JQL0dtXnVqaGKyXDUZPuoI6tUpf3rWKhwMrKCrqu0dPTSyj8yI4CTUMFZ0VpYb7vs7OT48bUFPdmZxkdH6ejo6MlgnO64vGnlQol1+O1/gAR02mZ4NzoStWYKWiV1TTZbJYPP/gAKX1efOllDoyOYjRxYpwKzorSwnzfJ5vNMnX9GhfPn8fzfV56+fvf9W59K/I1n5uZGtmqx1jM5HDCZ9+n4Uio+T65qk/Zk4RMjYStt0TbyFwux4UL56lWynT39NLV00Ms9vm+hs1CBWdFaWFSSiqVMhsbGywtLZHNZNiTFu9PgboPmapHuuyxU/NphTLTroS1ksflzSqposdEwuLl3gBWCwTnarXK+toahUKe7e0s9Xr9u96lP0sFZ0VpcUIIDEPHNM2nIlFmrwjAEGBqYOwmhO13ri9ZKbq8n6pwI+NSceGFbodWOPjG59zANM2n4raNCs6K0uIaGdo6uq4/FSetvaJrEDI1XL9RmMNsgUP3gYoL6YrPatFlu+bTAhMGQONzruuffM5Fk99sV8FZUZSWFLM0nu20Kbs+I1GToNHcJ+u9cD8BTBdgCLV8rJmp4KwoSkvqCen86kAIX0raAzqhVhg6sxug7/+P0rRUcFYUpSWFTY2D8dYIyPdpApKOxtGkRcDQGI0arXC7+amkgrOiPEqrLAAVn8xryof/TdmXTF0wGDV5Y0iwXfVpD+iYLbK2G9H4jMvd/2/2mQMVnBXlszSBMHREC0xzCkMDXcPXwBcSX9/9N2Vf0oCoqRFJWHg04lPL5OfrWuMzLiRSE2A095Gr4KwoD/Mlsubhl2v45XqjALPgoWHlPiJA1lyoeegeGFKguSCrLgTNxrEr+5IQD5389/vbfH8WrOZh+ALDFwjXh6r74Ef8Yg0/V0ZWPcQTyJKTvkToGiJoooVshK1/4QyVCs6Kcp8Q4Ev8XAV3cRt3LoMWMBG6QLr7a8GJQKDpGvVKBbFWJLgjaavaBHM+7vI2xCRupYrc92fu1qRB4+JM7v/YrOs6mmkh1ovEKwZWxcRK1/BWcriuhaZrVK6nKL99F3c1h2abe7zuW+JXPbSog/1MH85zg5hDCYT958OvCs6KskuYGsLW8dNFKh/M4W+XMceSCF1D1r3vevf21P21zbVaDZHeZOBqBX8pRM/FAsXAFbRIhGql0jLVwpT9S9cNTNtCv3OPQ7MGtVqA2LsbVFenyMciaJpGbWWb+p00fq6MML94VPuVSIlfrqO3hzF6Y1/6XKKCs6LsEiELoy+OFnPwVnYop4vUptYaN+W8fRakhEAAvpSYtRoH8w4DtUGCczrV3DSeaeJ5XmNopShPMSEEmq4TKBZ5Nt+JlJLojTLe3CwFqYEEYziB/fwQenuocatnL2/pSJD13ZHzkW6MnmjjAuCL9luqS2Nl35KwPcfq4hLzWUne6KK9b5DRgRCxR3w3/J0K1WurVC8v463k8Cvu7lW0BNnkqZ1fi2wE6d3KSUIIfN/H97zdEfN+PGal9TRCnKZp6IYOCDzfQ/o+fs0DX2JOdOK8OIzRFWnkXOxxvoX0JcLU0eMBtKjzpb5aKjgr+5NfoZpdYOnmFNMzCywUBHnRTrJvnEMnDnJosI2k9ZkeRFIiXR9Z88DzWychajdACwRSSqTcX/fXFQUAIdB2p6sbn/OHbrhbOsIxELr2ZGeLvsJ0uQrOyj5Uw517lxtXLvPmTZ1CdIRDow6JnRmWF7Msx56j/8T3+OmxBL0hNTpUFKX5qHvOyj5TQxYWmPvoLd57Z4bz5uuMnXqJky8GOZDe5tzGFT44V2Zmw6an7XtEx0OEVH1hRVGajKo2oOwzm1RWL/LxB7N8OG1i9Y0weaKdnlgYY+AggxP9dO7cJnf+bT6+vcF0CfZXHraiKPuBGjkr+0t+icz0BS5NZ5mpHuf7B/qY7NUIAVgjJIYPMhZ5j9vTl7gy9UOGJ/o5OmbSGkWxqtQzaXIVjXowSShkETX/zI+7WbILS6ysbZPXo9jdQ/T2Jui2vrUd/oqqVNMp1lY32SoLamaMWHsnPT1x4l/3TOdmKa0usrieJ+1GMON9DPS30xve0x3/hlwobbC6vM5aukzFjOAke+nuStId+rqzQlWqm8ukFtdJl8FP9JHsG6Q/LnD2eO/3lCyxk9ogX5LIti7C8SBR/cuMQl3wttlZXWchVSDvBgl39dI3lCT5HUVJFZyVfcVbW2V1+g6LO3UKbZ1EY0GS3P9yRjGCHXR2GTgzm8zMzrE0fxx3OAlNG3C+ISmRvovn7rCzdId712+z5LZjHHqRieHHBWcPWd1ga+42N67dZXZpi4IRw+jLM3roMCdG2ugKiSaadpNIN0dxdYbbl69w+foscxmPHaOTzgNHOXb6JCcnu+kLal/hhOeDu0127gazU7e4ndphzY1jJtJslQ7hHuqhN6Dx3XaZlCBruPkV1manuHplmht31snIGHrvUQ49c5Lnj/UxGrf4SuWzvTzV9Bx3rk9z8/YKG2WJlxyhY8ylfHCAiS6rOb8ucofi6i2uv3WF2VyY0POvMnksSOhLBGevnGNnaYrp6XvcWiyRq9tE+8dJ148xMZygx9G+9c+7Cs7KPuJT3NpiZXGVdMVBRuNEQw6RB9sNdDNBPG5ja3m2V1fYXsvg+23s27vO9QKl9Tss3b7M+Q8+5sPLq2R6XmIyeoqugUf9gsQrLrJw9k9cnkoxYwwQHZxkSNsiPXeO6/P3yLz4KidODDMRapITiNwmffWPXHn3T7x5fY1b6wUqpW22cy71wAXOXV3m9Z//gJ+9fICJuPnlaknvzLE1c5Z3L6wztd1GcuAg406G4vIH3Dy7wt3Mq7x8tJ+T3d9lfeY81ew80x9fZer6XRayOdLpJdZTmyyfu8iVm/Os/PIXvPH8QSbbwPlSH/E8W7fOMf3hRS5mQ5Q7RxgecGF9geW358munmH7lRc43KmTbJ6rs4atGdY++gfe/IcrXJHHmOw/TffhL/er8/fWOPf766y5OomRAcb0NbKpi5z7TYal48f4wctj9AfEt1qHvCm+W4qyN6oUijtsZgsUvABmMEjIND81DSd0B9uxMUUNr5ChXsjtLp3Yp8HZr+OVsuxsTHPvxnk++ihDbmKU2A/r1B51yLU1tu9+yPu/e5cPUnEif/EGz792nJP+TebX/y/+8aOrvFUNk7U7SB4P0m1+x6+bV6Kem+Xe9aucv5Ji2U0QGR5kkDTFuWvcnP6Q80tZslWdQHucyKku+q0/9277QIXc3fNc+u3veGu+i/zx1zj+/BF+HJ9i8/0p/p+33ufcXQPkq/R29JHUv5sTqV/bprSxwOLSFiuVGKGBfrqHOumd/oDSW5e58fYO26EBgh1D9EdsnC8a7vpF/J0pbp19i3/84zKbE2/w3F+8xgsjdYxzf8ufrr7Nu2sFFu1+9Bf7+F6H2SSzJx74WbL3LnHxnbOc/WiBue5+2koe9S/zu7LCwvIab950CY9P8tJLJzkeuM2tf/wt1/7hD8yv5zF7Onj1YJy+b3HKQAVnZR+pUKuWKJTqVKWJbtk4uo790E8IDHTdQJc+VErIWmV3XW9znGb2nBnC6Rpn+Mwap5bnuH6txEylhvR83M/9sA+r11i6+B7v3a0wHxvjnx/o51i7TUIOYk50MDx9j/cuXaIW7uPk0DO0tTvf7RRnKUUtNctyvYPa5F/x2vgAE0MRgqKMe+/3fPTb3/Af35xm4eo53rtymtGBLrp6wfr/27uv5rjO/M7j3xO6+5zOGTlnkASzqBzGnvLslGurfL+vbi+3ymN7y2HLE600okSKAQSJnIiMRqNzPGEvQEkURUKcsQQ0if+nirxgNw7PQXc9vyc/L0znGlRmWL5/lz9+dshW2wXOXxqmv8fE7+um88IInZ/9ka9u/ZHpzjRDF7q40QaJE6+jONiHdeolH5HhS5y/1EZnzCSq16ifTxEpZah/vs3i0hLzqxnK4x2kvD/yHS9tU7j/J25PL3Gz1MdE5yCXByJ0mqD2dXN+0MPHn81z6/dfMtD2HuOpDuIn87DHc/OQucv8yiI315rs5xWMNgcdF+fH9g53y1CcoWpnqHSN090/wXBbgoA6SXfvNKP+L/jDqsIfvrxEMhCka+DkIlPCWbxGLBzHwrLBQUPXdXT1eV1RRzv+K46N4rzmG25oPrzRXtLRC1y4/JCR/9gkayk8d6jZLXG4fJ+Ht6eZrYzjvXCesc4oKQAlTHBsiIHBh/i+esjqrW4efDhGX8yg6zR7di0L1zIJDVxl4spF3poI0ut/8tq5IB1Gnt31f+Sf15ZZXdplac/l3Q7lxeHcLGJt3GFuep4vNwMEJvs5NxGl0wcQw9M3RX/HTToq0yw/OsfN+bcYCQVIBE7mcb+jgBLEGx1gcKANbyJM+puXer007v0XKyu32PPYHO1G+WO1B4d6do2Vr75kerXCfnycX/T3MWE+CYm2HgYu9JD+/B637txk5soQyxc7CJh8r/J78hxq2W12v55mbb9MvaOLSJuN4lUx1ZfoD6sVaKzfxqk0iI9O0TPc8aS7Pkqsc4CpQYWbny8xfXOGiYEO3h5IE+Bk+tle0+aCOJs0FFVH11VU1X3SXf39erPrOjiOje2Cq2qgaiiva5f2t9wnfyuoHO2S9NwntvfYWF9ldvGAEgFibWkixjdFrwqJNKFUkJSzRWNjiUerJR5XTuoZXsCTxpuaYvL8KDcmgqT9T71mdBEdOc9gV5oeXxPdalBvOsdv/FYpkJubY21thx0tghZP0BaAo8nZBuhtxJNBkuECh9urLDzaoJD/YR/Ez09BjyUJ9/TRHguTfPolx4PijRFt62Z0vI+h3gTmi7sKnqhQyD7m0ewGmwc2RjxFIhrh219nIIK3PU3KX8E8WODxyi6ze1A+1bqtA+4eOysb3LrXoO5Ncv5aD/19YTTXxbWdHz1xyy6XOJxboLK5TjykEk9+F4k+f4T29iQhu0R+4RHLG9tscHJLLyWcxWvExOs18RsaXtXBtZs0HPd73beuU6fZbNJwVRyviev1/bQn0LQkG7CxbQfnhRsC1qCxxe7uDuvbFrYWJBoLY3qeKiLMCEYsQNxTwD7cZuNxnr38Sdz/MXwRPIkeOtqS9Pp5ZpmPDyUYJeALEzP8xKIm/qBy7GmAVq3E/vomW/t5KmYQMxImoj3dOowSDIeJhJrUc9vsr29RKzd+rqc7luLxoPu86OrTBXkNKvvkvQP4hn/Fh29P8Ysxg8hxS+ZwgCyl/CarG0UOy14CkQihoPldJU4xUWMxokGHQG2HzOYBj3ctaqdRL/lGo0Jj8TYbi6ssqP2YfReY6gnTHVJwHRf7JSoOzVqZ3fVNCpldQqZNOPxUdd5nEI3FCKtNrL11tvcO2KxC/ed8pqdIOIvXiA9/MEwqHiCkOljlKuVmk+pT73DsEtVKjYbjQ48k8UaiZyCcX0YFt7ZPsVAgV9ZAC+AP+NG/HfhSAB+a6cPwOrjVIoWDAuXiKe/+69FQDA+a8rylXXmaxTzZeggi/QwOpOlPq3iOKfWajTKZwzzZchPHZ+A3DQLK0wWliddnYngV3FqeRj6L0zip4vpFXFy7Sq1wwMHq5zz4/E98vlxnwzNOR2cHownwHzv04ICbpV7OcFiwqNl+DDOAYTw96ulBMQ18poruVinn8hSyNawfn3H1M2lg5dZZuTPH2p6Db3KK7rEROnUFf7OBw8udU91slsnk8hTKFbxeB/Pp2p3mwTQM/JqFUs+TL5Q5KELtZ3qiZ8mYs3iNqARjMbq70iS8NXbzOXKVOgV4spyqhtXMk89XabpBIu09RNMp1L9oEejrqoFTLVKrVKlYCnhMfD4D9dtUUgAdVdfRdQXHalAtV2jULHj+CPbpK29S2dlmk06cnotcGE5yLnJcoediN8uUyjVKDQVX9+Hzep9ZgqShqh50VUFp1HCrZVz7NJuPAA0axTU27t3m9qe/5c9fzfDJegTvmE7k0ihDQylCweNaYg7YZRrlIuW6TVP14TFMvN/7RSkomgdN11Fdi0a1TLVSw7FPaTeWxgq5nRm+eqyx5RlhaqSL0Y5drDUX23ZeLplxsawKpVKdesMg5APj6Zn8ioqq6Xg0B8WpUK/WKVfAOqHFHRLO4rXiSXbTOTZGX/ge64frZLIldoEuAPK4lV229qGsdDIw2sdgf5iXOFr1DHBwmxa2ZWM/KYh1TfthF7CigKLguA6OZeG07IS6OqWVJVZndijHh+kcu8H5gShdnuPKVRfXbWJZDpajguZB147ZuMSxURyLo27h0+SC6+A0y9RKVQ4yOfLryxSK8B+xBIFgmMCNJD2m9oKAdsGxcJo2luviqhq67nmqYvYU5WgjeseycezmS4bgT61CcX2JtcUtMuFRkmPXuT4UJq7tk/dpuKioqo7uNfAZx+8v5NpNLNvBcUDXQHvuMzsoONi2g2Wd3CNLOIvXS7SX6MRlzg0tszmzRWFzj+U9GEtDwN0gv73D43IS0ue4dKGbiR7l2G7Os0NFUTUU9WhMVvlBEeQCNq59NHYNKoqmoT63BD9tFjQ2WXq4zaNVD/HhcUY/HKc/ZfxIg0cFRUNTFTRNORrt+MGQh4PrOtiOi4N6NKnw1CcUevEEe+ma+oD3g3EibWkSv/09H08vsvinP/BxewfjI+8R7wo8tSHPM9Sjz19VeVIhe87n79g4jo3jKiiqjqqeRq22jlV6zOydx0zPNjCmkgyfDxHUAMrUahZN52jSp9Ws06hDU39R347y5PNWnx/Krovr2Eenx6IenQetndwomISzeL1oScyeq7z5/jxFe45bC3e49TsfyUmDQO4mSzc3OYhfYGDiI94+18agIRMvjjwZUzR8+FQXxWli2Rau+/RCGQun0cCybNC9+MwAHm/rdTu4hU0yc18wt9lkJ32d0SvneXPEJP4SH7Smm5iGF8PjojgWlmU/sx68gWU1aFoutu4FnwnaaRejKqonSCA9xkCqjURHO10xCCl/4v98tcjKg1lm968x+cJwVkEz0E0DQ1fRGxaO1XxmQpWN22hgNZrYqOimH58R4MTzufiYwuwfufXlXT5e8tHpe4A/eEjZslHsZQ4eLLGczZMrrPH43sfcTDXR+noZ74rSFvrhzWq6iWF48Loqjg3W01seuDaNZpNGQ8HFwGt6MU5wV7zT/lYJ8RPzovoHGHv3PSqqj8Ov8uRn7zDrBPFk9tjLJeh64y0m3rnOufYAkdO+3ZbhQ/UnCIXCRP07bFoVqpUqlv3NAl4X3DpWqUa1oaKYQaLJCMFQi1VtrCKHa7PMP9ggF+yj49yHnB9vp/8lb1P3BonFwsT8GmqjRrVa4/urxSo06hWqdcCM4o3GUb0ttNO0EiXce4Urf7NHI5vl0dpjHpfyFEoNii/8IRWUKEYoTizowajWqFUr1L83Cb2JW65Srdg0VYNALEw0bj41YfCElPcpr82TKeyyWQlTvX8La/cBqmujORly22usHhbIlRooDz7ndiCAVg+SCIeeG84eT4B4NERI9VFuqNRq8O36MatJpVKl0lRxfVGikSCJ0Mltwy/hLF4/ionWfZXxd5MoiS02D2rYPg+YCdLjCZLDI/T2Bki1UJl6+gzwdpNMpuiIz/HQypPLF2g04xw1JRyoFGkUqhTqAdRIivbuEPGW2CLqCbtAZfFLFudXmXUHCY1d4dLFdgb+gg1CdF+Ajs4UHdF1PDtlisUiOReagAcXKFIpFyiVwRduI9bRhc9ssXOaFD9a9wDdE0P0xotUVQVDP67zXQXaCYS76Er7CRXKlAo5SuU63y4is6s4hSKlkkpNTxDriNHeqeI76bmAeghPpJe+EQ8XAjqa4hD06ThKE59jUje86KqGpul4vAY+w8Tw6nheMOnT6/PT2ZFiVdPZr+oUiuA+CWe3UadYKFJwPRBvpy0epdv37HK9n/FRT+j/EeJkKQmCXQmutg8znjlkr+Dg+mPE26JEji2oXkcaoKHpGqqioCoqqq6jfa8hoYPWQXtfP2ND03y+nuPg8Q65ei9HhbcK2R2KmTwZrROje5SxvmDrHJ3YLFDeesjCowXmcwHc3osMDvczGnDRnAa1YolyvkrTZ+JNxAjq6nNbQKoZJj4yRl/PGqm1PaqZPbbKMO6FCBZYexwelNgrRYmO9jM60UEk1ILFqFOjqWgosW7iyR56owaxF75ZAUIE472MjbfTsdtkemubzEGeOumjeK4Xaexuc1A1qCbGON/fzmgKzJPu1g50Ehr9gOuRLJ15i7rlomkeFCy87grbDyxyczlKahsd49e5eO0cl/tiJIPPr0Xo/hDJ0VF8isX2oUtHBrS2o9fsaoG97QOKSpDoyAT9PWk61JNbm9CC3yohfkJamEDapCvigsdLCw6RngAHcLBtG9txsBwb27b5wURrNUxqaJSJqWG6Nqpk1pfZOJyg1B0jSA3n8Sa7mQrljgnaz00x1eGn8zQe5wcqVJY+5+Gdu3yy7qEY6mJCq+ItrrG+WMNu5NlZ2WFzrYzWP8zQe5cZCL3g2ENvFM/wJQbG5jh3d4ndg01WN2z2oxoRJQeZNbYzLhl9jJ6REa5Nhki0SgXlW3XY2CC7X6LWNUxs6BzD0aOjU4/jT3Qzdvk8IwvzLOyts7e9zSZpBgEyGfYf73DgSWJOXmdiqIsJ8+Rakd/yRTA7xhhINumynCfj4grgojomW/VVvg6arDSTJAfOMzo5wGTMS+RFe4z6w/hGL0I2w85slu1Ilsa5OF6a5LJ7rG40sIM9jF6dYrQ/daLDYBLO4vWnePC2WM/jiXGbOOV98gcLLDxaYHFznWU7gXd+nsXREGODYZJBHV0F0PB2XWL4jQPeX7jJzYO73LvVTqSZZkDZZffmBvezaTqvvcmVD8YZi3tPvnB+hlNYY3/+U/78r//Iv36ywJfFTrxtc6zc9RA1oF6rYTcLZAsGVd8k1/wjjKgKGja1gwXW7k8zu6tQjk8wNtHPhR4Tb87GHLkAABPdSURBVGiS4avX+MValj9kVnn0x0/oqMapGhuUp+8xdxjGvHyNa2+e50q7RvhUht1tapszPJ6f4eFOk0MtSTQaJGY6UCtSXV9kNRsleeUyo1MjDER8TzqoG1DdYmtulunZA7JGHx3nLjPeE6A91EXq0kfcWLTY/WSF7NxX/O4LjeuBGsw94PZDaLRf5M233+D6SIL4aXQ/qRqq14/hfV7FIEo9qKDWKtSqLo4ZI5Tyk/AA9ibZuTnuT2+z7bYTn7jMRH+c3mAQYucJ+u5hrtxis7bHJ53DpKwtNr+e5W5tgODEW1x7a4gLnT45MlII8RNxmriVLIXNDLsHTZxwCNNRcXM7HO7m2U/7iQb07woC/yCJsTp/88EBnrs7zKzOcre5ScGzz/pukELiPO++e5l3riZJvtwBwT8rt7hFZu4L7jxY5OvlHHu1Ep7sOoUF0HCxmw1su4mduEjqeg+hzn56TJ0ATYoH8yx9/E/827TK3ojK34fSTPQE8JKkbeI67/y6yMF/bXF/+StWjDRNX47D2TrN1ASXb7zPm5f76FY50QL7Ow61nYesfPob/t+dAvPKIF29HQwkwWs1KdVD+Lsvcu2NSa6MRYl/e7SnBfV1tu//jt//ywJLsXe5bI4RSwVoj0ZROm9w6c1DmvXP+SS7wdwXd/EkCljbORbcc/RdfIt33htksr0VN57RwBMh0tZOmy9O3FTxfLMizN4hu/AJn/zTbe66UwwzQDAdpzfoAdrp9K9wzbvNxmGBW3fKtNVXyW81qQ5/xMS1t/hgNMKA/7j/+6cn4SzE60zRUYw4wbZLnHs/htl/SNaNEuoaobc3RNyv8f25Mjp6Ypjht/8OrW2N1K5NyVHwevrovnqRibZ+Js/10GcqLVF4KIE0seH3uP73Q0SuWzQcC1V1sWwXxznanMN1XZTYAPGR61ybSBBVFVRUPP406YFxJhWNdHc7nVHjyTOpaLFhuq7ofOhbpnOlQFX3oOlB2qb6Geoeomeyn4GEdkrBfHSPvkQvHRNXOW/t4i1FCCTiJNIRosEg3kA7qa5+JoZSdH7v0AsNvAnCnaOMTBoEI70Mpn2EfEfXRE2QnnybG0YMc7XARkXD8CZwB7u5MtnFwOgAE10ewqf01Mdy0wT6P+Cj/zXEWD1G/EKKfg3ABTWKmR5iYLyJyyBdHX5i5jc/qNLV288v/+46KwdF8qoX3ewnkIrR1z7J4GA3A6GT/74rrvvCnfCFEGeZVaZ6uMN+3qKsRAjHY6RivtM9v/kn5NRL1HK75OoaVSNFNBQgYT77pjKNfJbdTJUyfoLJFPGoD//pdxqA28CuHJLdO2A/W6WqGPgiCWKJBPGQ5wWTtVygQTWXI5cp0/QG8aeThAz1maMfHezCDtnDAtm6gRZKkE6FCLdCjeyv0qBeypPfK1JTDIx0mlBA57uP2wXKVPYzZLNVyp4oZjxFOqJzWh1EEs5CiGPUseoODQx8vuedjf2qczjaD+24g0NtrFqDJh68ht56vwPXwq43aDgqiseH1/O8Q0Cew3G/3Y7zBW8Aq061qaP6PPhabEn7X8Vxj573hdt8WdjVBg3NxOM93d4hCWchhBCixbyynRRCCCGex8F1wEFBVZ7sEe4eneX9bVNMUVHV43oLxGmTcBZCnE2NOm4pRwmdSiCG36e++GCIV0WzTKOwz16myEHFQfF48OjgNms06k3qloujaGjeAGYoTqKtjbbQ6zhc8eqTcBZCnElOaY/DmVvM1wMc9N1gqCvCxAkvl/nJOU3sWo7iwQpryzts7ZcoNnUU00/AbxDw6WiqAqiouokRTZHo6KGrPUE66id47JGa4iRJOAshzqRqbon5m//O73eiZK52o3ojTPSd9l39N+kmnkg76a4dDpeX+PyzW3y+EcQz8S433jzH2/0BInqT8v4au2u3ufO7PbbtblKXP+C9j97i/dHQ0aYd4tRJOAshzhgXyFDYvc+tL//M/3sYo155k+H+Hqp9IZ5dTfVK0XzowTYSgQ66Ui7sL7O+kEDvCfJOepTxySgJvUFxRyfs5th7eIeZOw+4v5oj0/RimNd4eyBI+LhJ3OJESDgLIc6YJhTnya0/4NHjLDPzdTyRe6x+OMHGjUmG1Ff9jG8FlBDeSIxIwCBsGrjhBNFEmrZUmIDiEAyEiLUP0GbYRJ3f8L8/+5QvfxsnPdxDqjPIRePkDngQz/dqfweFEOIvZTcoL8+yu7hMXvPR1BtUNu6zOL/MzB4Unz0Q5JXjAh7w+vGbBqGAgWmaGD4DQ9dQNQ8ef5RQapChG9f48EobPfome/P3uD9/wOohWLLA9tRJOAshzhAHu5pl/cEu69sqqclRLl6Nk3TWWH+4wNePCuxWT/sefwouruPicBTVR61p9YcFvqKg6h50HRRsrLqNVf/2h8QpknAWQpwhh9SKK8ysNFhrjjP8zjv86m+GmAgWyM09ZPruCpvZ2mnf5E9MRVE1NP2Hu5u5h3s8Xt9nL6+j+pOkUn4SYZ7Zb12cBhlzFkKcHdV1So/vs1Ay2G//iOtX20h12HDzAWszcyzfu8vsWx1c7TEI8WpPilIUBUVRoFGktr/M44VppkMBTGyseo1GbYf1z7/g0xmbSsebXHvzF/zicjsjcQmGViCfgRDizHA21sjMLVLwjaKPv0FbR5QJ7woH5xN8Or/No4V73F+5yhuX0pw3eOYwiFfFUZVCUbSjcK4eUFr7mpmbFv+ZMQkoNSp76+xvrTAzs8lms4PUjV/zy//5Cz4cS9CFdKm2AvkMhBBngAsU2VvLsDxXx0x3MHaji+5EAKNvkivvXGCqx8G7+5CZB2vc37So26d9z/89Lu7R0LGqo/mC+MNR4rEosWiMWMSH6VZolnLkc3kO8zkKpQqVussr/tivDWk5CyHOgDo0V1nZOGT6sYna7aU7VMOuQM01UDoG6Oz0E13cYOP+LDMPrvJRWzvh4Gnf91/jaDaX6zi4jgP+FKGhG1x892/5+zcC+HBximtsz43Qn/x3fvdfM3z15b/w77aL6/4D7vvDXIiqeF7lPv3XgISzEOL1Z+Vg+z6bO+s8yFgElxZJfmZRVUDXajiZEoeWhsc9IL/4kIUHi6y9Gac96MU47Xv/qz2Zcq350ANxool2UuEniRs+TzQSIxJyCXvLFH8zzWef/Y5/C/eQTEbpvZ4i6ZV0Pk3SrS2EeO3Z+QzZB/McVuo4/T34Ahruzg4HO7vs7hTZLceI9g4yNugnUpxnY/Ye97ZK7L0OfbyujWPVadQq1L/9RxWCPXRee4/3f/Umb44G8GcWefTlfe4+3CHbeOUXe7/ypOUshHjNuRT3M8w9LFD19nLh1/+D8z1+JrwOLgquouK6Fuq+QZ+vxO7+CnNLD7kzc8BUT5ye5Ks4a1sBnjoS8slxkT9YvqxECbS3EQ/7Cdl7bJfylMoVao4sdD5tEs5CiNfcDoXsPtOZJFb3Bd575zJTUYg++7YRhXB1g/t31llfWmD29gJz53t5K+l7xWZtK4COx6seneeMhqob+EzzOV30Jcq7OxwcFKioBoFUmngyhiELnU+ddGsLIV5TLq6Vxdq6yfLKPHcrMQreLjo9EHne27V2jM4h+tsDxIpLbNz6lDt3H7FYtrCco5Zn63OPurHtIpVyiVKlTqVWo1YpUCrkKDQaNL75Uy9TnX/Aoy9mmN2u0+gYZPjqFOdGukl4JRpOm7SchRCvIRfqBxyu3mLu49/wr79f55PDG0ymJ9naztHeGyH4vQlPFla5QPagQLFcpLy3zEb2//KfKS/piM3fTY0w1h0m7mvxFo3doJnf5nD3Lg9u3efe8hbLGwWU+//FF7+tEd+NETVVlGaZevGAzPxtZqZ3WTEuM/G3v+TDX13m/eEAYUmGUycfgRDi9eTUqOUO2NlukK96ScY0QgGLQrlB1Ybvr5KycesV6jUP3rZRhi46uDU/qn3I9voeW/199NmvwJbTro1TK1LJFilW/Jg9Ewx5NLRYFSW7zOJClFhQQ23kqBzssrlZ4SB4keGLb3Dt/Xf46Hovo9EWr4CcEYrrvhqdNUII8RexipQzW2yvPeZxtkHVSBFKddDTFicd8+P/XtPExqnlye3vsLu1w14mR7GpYhkJwm3ddHe10xEzCXpafHKY08Su5inn99jZ3Wd7v0yhBorXwDANTMOLz6OiOnWa1QqlqoPliRJK99DTnaYzov5g/21xOiSchRBCiBYjvRdCCCFEi5FwFkIIIVqMhLMQQgjRYiSchRBCiBYj4SyEEEK0GAlnIYQQosXIJiRCCEGV0n6BQg280TDBkImPF69ptq0KB493sEpFghEDS/eRrSmgavh0B8Vq0HC9uL4I0UiQeEB76loNarlDCrkiVVfFQkGxbFQjiC+aJBLQ8Uuz6cyTcBZCnE2ug2M3aVZ3yG+ucvfePvt2nJ7r5xgPmSTgBRty1GlUtpi784DyfoHRyQSYKnMrGXZzNSxFBc3AjHWT6h1ixOsnGtC+u5bbpFHcI7O8wMpOlt2yguONEO8do388hs+UcBYSzkKIM8nFaR6S21hg6d6nfP3lNH+cVnB63+GXA0MMjBy3E9g+zeIyazt5csUofb42Uv7HeHf/zIOPH3I7G0PpeoM3Pxjk1+cCRAz1mWvpeIMBAmaV/MM/c3epSXH4Iy52R5gwNHwtvQWZOCkSzkKIM8gFt0mzmqewPsfq3Zt8fS8EzgQXKjYOx4RzaYv67gp5NUqhYwqls41kyGYw7aBlHjF7208+P07/O2FS6TDJ4DPtb8WHEYuQaPfjFArkdlzUy20kutrpCOsEZP9MgUwIE0KcSQqKHiHcdZ6Jixd5+1wbvXEPtu3QtJxjf9LZzlJa3cMx/Pj6u9DCfgj10zl1lcmRbvr1KsrhHtnDAiXnRdeq4Dh1inoXvvZLXD3Xz9UeLyEJZvGEhLMQ4gxSUDQTM9pF59gklyb66G8PY3pU1GOPG2iQ2y6ztdbAFzTpGvTiNwE1iTnwFlevXeHdIS/p+jI7q4s82q2Rfd5lipuUtzc5DPZiTr7P1Gg3I4EXjXGLs0jCWQhxtrkurqKA8mPFoQNuls18k5VcGNP0M9wGYQ+ABp5uBsYnuHIhSqe6zu78A27NZVkq/vA61voGe3OPqfojBCbHiUdDeH6WhxOvKglnIcTZZtvYrovzo+fzFaG6yl61wYbbTcBIMuAB/zcvqyFCY+cYvz7CSKxKY/Uhd24tM7dZpfm96xTYXs2wOFvFE4oyOJUkFpJZYOL7JJyFEOJlDs5tHmLvLlJsNiknB/GHU8R5uitahfQwHeevcXEoRrqyxuadOzyc3WHPgaPR5wrUV1jaqfAo104omuZir0rE+HkeS7y6JJyFEOJl5IqUlraoNx08fd0YqdAzM7oVoItYz2UuTfYwHspQX7zFzKMlZvJQBmhkYHOajWKdx6EJIskexnxPtb6FeELCWQghXkI1V2FjqULT0mkfDBNLPm8lqoEvNsT41QkuD3sJ5R+x8OARXy3XOXCA4j65R7Mc1myUsUkS3WkiyEQw8UMSzkII8aPKHJbKLGUMmm6IwXYP6cDz36kG47RduMi5i730GFmyc7NM311nO2dTyR6yMJunZhv0TnbS3m2e7GOIV4aEsxBCHKsBzga56iErjTSWp5P+gEbsRXO41BB69xUGp6Y43+Hi255j+asvWXo8w/zhAbe3wlhqB1MDIXrDMhFMPJ+EsxBCHMetQm6RSjFDPtyFGu8hoWq8eA6XF3yDpIcucv1cmgF9m9z0n7j75//gk5VdHihDeFIjjEc10pLN4gUknIUQ4ji1OtbqJtWDIrS3YfSkMfQfKzqDRLtHuXRlmMmuBo3lm3zxz//JJ7d22IsNEhkaoc3UZKxZvJCEsxDibNM1dE1FVVUUVUPTdXS+21vbrtXYXSyRP7CJd4dIdftQXyJVPfFe+q5e5fxknFh1nflPl5lftAkNdNI3GsNUpdksXkzCWQhxttkWlmVhWxa2ZWPZNta3Lzao1Qos7SlkqkE6kj5646C/TK762vAPX2JktIexuIprBbE87YwMRBlqe8lriDNLwlkIcTY5DWq5TXaW53k4v8zq6jLb64sszC0zv1Viv+aAvUeluMZCyWDP7aHDb9KpvWTBqfhRouOMDPZx/Vw77aPniPVOMNEWpEPOAxQ/Qr4iQogzyXUtGsV9DjJ5tis+fMEAbYEmTiHLbqbCYdAgRRardkgzkkI3hkgafkIcd9bzM5QknX3jXPswy9zOVXwXxhgMmrLpiPhREs5CiDNJUXS8wSTx0feYMgYJXa1T8iSI9/bTn/QT9SpgezH87QyfT2OZvSSCvpcPZgDFxNt3jclftPMPpX7UeCfdz57vLMRzKK577PloQghxRrlQy9KoVDl0I7i+EHETvH9pttoVXKtJ2TJB82J6QZMBRfEjJJyFEOJFbAvXdXE0D4py1J0t87jESZBwFkIIIVqMdK4IIYQQLUbCWQghhGgxEs5CCCFEi5FwFkIIIVqMhLMQQgjRYiSchRBCiBYj4SyEEEK0GAlnIYQQosVIOAshhBAtRsJZCCGEaDESzkIIIUSLkXAWQgghWoyEsxBCCNFiJJyFEEKIFiPhLIQQQrQYCWchhBCixUg4CyGEEC1GwlkIIYRoMRLOQgghRIuRcBZCCCFajISzEEII0WIknIUQQogWI+EshBBCtBgJZyGEEKLFSDgLIYQQLUbCWQghhGgxEs5CCCFEi5FwFkIIIVqMhLMQQgjRYiSchRBCiBYj4SyEEEK0GAlnIYQQosVIOAshhBAt5v8Dtpg3bbRKxdUAAAAASUVORK5CYII=)
chemistry-General