Maths-
General
Easy
Question
In a figure, some segments intersect more than two segments. It is
- a concave polygon
- a convex polygon
- not a polygon
Hint:
- A polygon is a said to be convex if all the interior angles of the polygon are less than 180 degrees
- A polygon is said to be concave if one or more than one interior angle of the polygon is greater than 180 degrees.
The correct answer is: not a polygon
- We have been given a statement in the question for which we have to choose the right option in order to fill the blank.
Step 1 of 1:
In a figure, Some segments intersect more than two segments. Then
It is Not a polygon.
Because, By definition, we know that in a polygon none of the segment intersect the polygon more than two segments.
Hence, Option C is correct.
Related Questions to study
Maths-
Solve x − 11 = 2x + 9. Write a reason for each step.
Solve x − 11 = 2x + 9. Write a reason for each step.
Maths-General
Maths-
Tell whether the figure is a polygon and whether it is convex or concave.
![](data:image/png;base64,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)
Tell whether the figure is a polygon and whether it is convex or concave.
![](data:image/png;base64,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)
Maths-General
Maths-
Is the given figure a polygon? Explain why or why not.
![](data:image/png;base64,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)
Is the given figure a polygon? Explain why or why not.
![](data:image/png;base64,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)
Maths-General
Maths-
The given polygon is
![](data:image/png;base64,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)
The given polygon is
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)
Maths-General
Maths-
Maths-General
Maths-
The given polygon is
![](data:image/png;base64,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)
The given polygon is
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)
Maths-General
Maths-
Solve 7x − 10 = 4x + 8. Write a reason for each step.
Solve 7x − 10 = 4x + 8. Write a reason for each step.
Maths-General
Maths-
Which of the following statements is NOT true?
![](data:image/png;base64,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)
Which of the following statements is NOT true?
![](data:image/png;base64,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)
Maths-General
Maths-
Solve 5x − 7 = 4x + 12. Write a reason for each step.
Solve 5x − 7 = 4x + 12. Write a reason for each step.
Maths-General
Maths-
By the subtraction property of equality,
By the subtraction property of equality,
Maths-General
Maths-
The addition property of equality states that
The addition property of equality states that
Maths-General
Maths-
Identify the incorrect statement.
![](data:image/png;base64,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)
Identify the incorrect statement.
![](data:image/png;base64,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)
Maths-General
Maths-
Choose the INCORRECT option.
If a transversal cuts a pair of parallel lines, then
Choose the INCORRECT option.
If a transversal cuts a pair of parallel lines, then
Maths-General
Maths-
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)
If x = 60°angle, find the measure of each of the other angles.
![](data:image/png;base64,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)
If x = 60°angle, find the measure of each of the other angles.
Maths-General
Maths-
Line t is a transversal that cuts parallel lines l and m. Express each angle in terms of x.
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)
Line t is a transversal that cuts parallel lines l and m. Express each angle in terms of x.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAa8AAAFlCAYAAABcGGfTAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAJB0SURBVHhe7b0HgB1XefZveguEkgBJPqoTQvtDyEcJJJAvhJCPFD56QmIwhmBT3Su2ccU2rmqWLMtVsnqxZElWt6zeJatZsnrvZbW7t0y59/k/z3vu7L27upJltbV230d6d2bOnHNmdufM/OY9bc6Cy+VyuVxnmBxeLpfL5Trj5PByuVwu1xknh5fL5XK5zjg5vFwul8t1xsnh5XIdReVy2czlcr285PByuY4ih5fL9fKUw8vlcrlcZ5wcXi6Xy+U64+TwcrlcLtcZJ4eXy+Vyuc44ObxcLpfLdcbJ4eVyuVyuM04OL5frpKpUY1kX+2z7pUhp2+bjcrkyObxcrpOqDDi10Mm2X4ocXi7X0eTwcrlcLtcZJ4eXy+Vyuc44ObxcLpfLdcbJ4eVynVZlbVmZatu2Xqx9K4vjcrkcXi7XKZNAVAMjm+CX8CmnwVr2Z1CS1cQ/TFkcl8vl8HK5TooyCGXSdkpeJbZus9OXEloUjOGllMbwtFSqzFzv8HK5jlUOL5frpKgtvCTCCzFhVUKJhnJMYBW4XTSAlUraz1hcxmnMJeFWFsiOBCiHl8uVyeHlcp2wMnC1BYs8K8IrJZBSgqokkBFc5YJBTGIw8sUYEeGVcH/JqhOVTz0PzOHlcmVyeLlcJ6xjgRe9r1SeFcFVzmPVqqXo06cPnnlmBnL5GMU4ovdFb8yqGbP2sLZyeLlcmRxeLtcJ60jwCm1e5VTtXYylakLCCyji4Yd64ayzzsJ//te5KBRTkG30vAQ3xRG86qneMVyuzimHl8t1UpQBrFYVz4vOVACYoBSZ9e//GF5x1qtx3o9/aTEl+me01IyxK6G1Uli9cJer88nh5XK9mIwX+hHao6znYC1DKusCjgBk/xRBPQpLEdIkQZLEiOMC9xQxc8YUfPlL/wevesUbcPbZf4Vvfe9c3Hz7ndi1d09LPpWVFtUezuVyObxcrheXkUM/1B6V9QhUGEO1zNZpJcOX9quekF5UKmjFhFeCYjHPGBHmzJyKr3zpK/S8XocPfvCv8e3v/Qi33Xkvdu7f15KP/ajkK9WsulwuyuHlch2mgKHWysKCb6W1+kAJcbL4pVKCVOO5SiUk8rzSAtJiDv37PIbXnPUG/Pd//RyHmoF8TEtTJISeHcE8N+UXVP9YLlfnlcPL5TpMATytkaF1qxBs+ZftDwOMMzFdzTgtjeGSyRMrJUWUkwKjxOj3wMN49Stejx+c8ws0MShikiLzEbws72r2ptojuFwuh5fLVUdChQDUFmAZU/RPHlLoWBFiVNOEfaGFLCaMivS84kRd5ulepUWSKocnHnwYrz3r9fjhD36OPIOKTFCgd9bSVSMcqEU1qy6Xi3J4uVxHVAYwWYYPtWcl3NKg4iI9pQQpPSZDViVcCCKqzJMqllNajCK9rjSNmJwW5fH4g33wOnpePzznAjTnS4hIupjxBTzDl8PL5TqqHF4u11FVCy9ihTBKkzziNI9CkkOB3lShVEZjscDtAuETgX6WeVu5Ek3goiWVbvOqMgQh9nifPnj1Wa/GuT+4AEXyLOYhVHWoI9mxHF4u11Hl8HK5jqDQJV6eVugiHyx0f88TXM30ppoZsmHfQcxcsgw7Gw7IH0NULtJi5MuMx5ACt2NCzfwqVRvSHiO8XkV4/eCcnyASz5hPMQ0dQUwOL5frqHJ4uVxt1YoU2qiFV4qYYJJXdSBNsT2fYujUhbiv7zAs27ydsFLFYaRYjBfZOlEW5i3UDBo0eV+PP/wwXnnWK/HNb3wX+aK64IOeW6iCDB1AMgsKa63DXK7OLIeXy3U0GS8ycJUIlxJhVEYTt3aRacPnvICrej6Jq3sOwTMrNuEQw+VtRaUCEnWLJ8CsXUzzGqrKkOsa/7Vw7hz8zec+hz/+43fiW9/+Hu7r3hMHGpVrJh24xQ+rICs7D5fL5fByudroMP/GNtSNgl4VvSJVFe4ghyat3o8rHpqEn3Z9Gr/sMQYD5qzBTrKliYAplvJICTB10tCnTlJ6a/YdL1UbEmJxPoexY8biRz/6Ef7pq/+Ma35zHfbsP6ADWVVlW1A5vFyu1nJ4uVxt1BZeqsVTu1dM7ynPjYPcnrbmIG54YjbO6/YMfvLgQvyg62R0n7oGawi1/QRMnvCKzfMSuFKDV0pwhQ9RasooemQJPbSogCguItIUUszb0NQGXq3Pp/bMXK7OK4eXy9VGwcfiP3KiVCoTMimSVFWBJTSTJ0u3HsRdg2bi/C4TcF6vhfjvB5fje92m45rhCzD/YITdTNtYzqNYgZe60RNfXJJstBLhpQ9RBjhVYWQhPGiL56UTsLAQM8jh5XJJDi+X6zAJEEQOqZEmJfsOl2bJiBi8ftcBPDxqKi7pMhQ/7zYFP+6xAD+8fwl+0GM6fvbAWDyz5SA0Q2EzoVWkpyWvK8BHXpXWNQJMFjpvWNd7fetLX1uuwCqouq612j0ul8vh5XLVlfX4k7tDd0jw0re2YgZt238IExeuQu+xC/DbfvPx855z8D9dZ+AX90/Cz+7tj6eXb0QDk+WZOBK8bGqoFhxa9WGAl3ofah+hJnDRWk8z5XK5jiaHl8vVRkKIAScQB6VE0zsVNcILRYYdYNjGQhkPT12LX94/HjcPXoAHJ63EXf3GYPy85TgY0UsjjBJBT55bpQbQxozJ4xK4lBu9LoeXy3V8cni5XK2k1i79DMAp6SOSggw9L43V0lyFTQzfFgG9xi/CJb1G4sklW7ApT6DtbcLGXQfQGCX0ugQkgSnLo5KPwUsYdHi5XCcih5fL1UryjmT6KaCo7lAm8GiGeGEHWLWnGb8fOAXXPjwKC7YegL7UpQ4XCfdHTCN46dP+ghcIr8oKicglzdq/mKPL5To+ObxcLpNAIqtAxrwjtU1pXR6Segqqw4X8JmD26p24/sFRuH3ARGxqTmzgcpIULF5UTlCQp5bBKcva8hYWWwJcLtdxyuHlcpkElswCvMqIuBS0QjuVQKa9jfzx1Ow1uKzrIDw8cSF2k2aaPT5Nc9yveQz1T9NIMZ2qAmvglaHL5XKdmBxeLhfVelYLmQBGYJUJsEoPQc1XKK9rWy7GI0/PwyVdn8DE57dhP2mU14zyaZ5x1LEjzCyfMJ3atap51nBMcoq5XMcth5fLRVlPQJmg1QIyeU6V6kLDUQkFbq3Y3YQ7nhiHq3sNxtK9zdY1XrPIp6WIMTQpb5HQ4rrAx1Qhr0Aqh5fLdXLk8HK5qNAbUOhKbFyXDSDWTPCpkBUqDQUugWraC7twbe8RuHfoZKxvjNFICBVTVRsG2GkKKJTCp0/s+101vQhbwcvlch23HF4uFyVABb+L/+RtGYQEMm3Ls9LAY2A3najBM1fjwnv7Y+jM57GXnNLYr0jxLD69rrTAtJrHkFZWRaPL5TrZcni5XFQGL+seb35WZB5UuURfjMAqEFD24cnmFL3Gqr1rIKat2IGcgYvQK4Xu7ymBlajtS7PKq+rQ8su8Lf3MqiRdLteJyOHl6tTKwGJel42/0j999biZ4MpDcxEWCaY8eaOvbS3d1YzfPTEet/YbhxXbGlFMCa9I7VvhsydJuYC4lEPMpT5FGfoqZrhyeLlcJ0sOL1cnUYYpWVUZTgxcNgOGvK4iw3Jc6oOSRcQ0fTm5gRGnrtqFi7sMwP1PzcLOZs26QR8tEuQqnTTU05Dr6rQR2YwcbeF1+Dm4XK6XLoeXq0OriorM4wkYkRSurYRrgpc8p9BLUBPqFrgUvPKIkhzhVcABJhg2Zw0uuqc/Bs9Yif1RiWAjoOKCVRfKlF69DoMXphY0VUU6slyuky2Hl6sTKcNVUAaUrMpQbVQZgGT6jH9MeBXiHJoJpB1Rii5Dp+LK7sPMA1Mvw5iQSuVhMW6WzgBW1gwd+ledT0PmcrlOjhxerk6kgKpMGVDqwSt4UgFghaRonTVeOJCzLvI3Pzoei3c0Wlik73wlwdPSgOZQ7Uig1cCr1lwu18mRw8vViXRkeGmAsqBVtq7uNI3xQviCcj6JcYjxnnl+Cy7vMRj3j56L9U0pmsplFJkuHwtyVXDJShonphyUr62FcWQul+vkyOHl6tjKCNWiajVe5gmFT++nAVia5omelrYTelXFWBPtlm1w8mMT5+KSLgMxbM4L2EsGNqmzBsOFOXXOKNFTC6bByprM130tl+tUyeHl6tjKSFWjLKg2OEwPpVk15HkFAGnGjAK9Lo3x2pIr4e7Bk3F1zxGY9sJOqzLUoOU840S0WNBT2kq6AEMBrM3BXS7XSZHDy9Wx1ZZSVJ2gCmyS4DXRi9IAZUFIY7ya6GUt2NKAmx8Zi9v7jceqvTkDl8ZwFVRlSEhpPJgNbK7Nx4Do8HK5ToUcXq6OrWOGV8k8pRZ4pUUkSYQi4aNeheOWbsa1D4zAA6OmYVcUvuml+eLVMSO0aNkWTW1qmbU9isvlOllyeLk6ttqQ6kg4kYekT/Gn5jnRg7LehjFyDN9ZLKP/1OW47L7+GDVrOXKMX2JGAl4AlgCWDUWWt6Xqwkqbl/PL5Tolcni5Orha0+tILJHvlBA2MaFj3+0q5W1mjSL3rTqQR5fhM3B5lwFYvHGXVRcqfoCVwKWQtl5XZk4vl+tUyOHl6uDKIBJ0JJSoS7vGbBXL+pQk/5VzKJYK1jFjzpYDuPHRp3HzI6Ox6VDBfCz1WbQOHgRXMK63eFzB2h7b5XKdPDm8XB1cASCCVmYtqmzYd7wMXiVr4yqWii3wOsD9Y5ZtwRX3j0CPkTOxJy6Zh2b5El5h5sKsBSyDVVsvzOVynWw5vFwdXAFZh4FLqoUXwSXPq6BlWfPBa1b4BDti4LGpy3Fx18EYPvsFNKT0s+RxGbgEpiznqoW2sNowl8t1suXwcnUu1TKlwhV1qkgIJc0Qn9BrSlA0eKk7/Or9EbqMmIvfPPAUZq/bZ2GaecM6yjNhm6xcLtdpksPL1ekleKV0llICrESvKZHnRdNn/+du2Iure43C7wc+g9UHGMa4+nSKVQ2qy6HVCjq+XK7TLYeXq1NL4JKVCKESCWbwgqoNS/bxyfGL1+PCu/vh4UkLsa1YMqDpUyca21VlVlZN6HK5TpccXq5OLYFL0hgvwUvtVeosry7ye5ISHhs/F5d3G4SnFq3DPjJK4fK7WqNKIBPAXC7X6ZLDy+WibJByGrq4J+XEPKyNh/K45ZFRuOnRMZizaR8OkE85Ai4h6KrwErRk7nm5XKdTDi9Xp5IQ08oqrpc8rySOCbAYUZIgx+AFmw7Q6xqIOwdPwfP7w5ivqBS61Qtf2U9TyMblcp0mObxcnUot0MqsBV4JkqSIOCogond1KAVGzV2HS7sNQZ+Ji7A5n5o3pi71qeY/VFqDV0jvcrlOrxxerk6lFmhVLFNKj0vwigxeZezOAz1HzsEVPUdg7PKt2EeYNRVjxPTOFFcSuFryqM3M5XKdcjm8XJ1WGW9skHKaIk3kfcUolIAX9hRwy2Pjce1DozFvyz6rMmwqaKZ5fS5FXTakkIN+OrtcrtMrh5erk6mKmVp4JeomTyipvSvPHbNf2I1reo/C3UOfxZqGvFUZFiN6ZnGhMs4rpJNshnlbc7lcp0sOL1cnkhBT6WBRI/O81FWeUNKXkxvIpuGzV+PibkPRZ8ICHGCyWOO/ijmrVtTHJx1WLlf7yuHl6kSqwEuLCn0ELq1mPQgjLrc2peg9bgEuvX8Enlq83qoMU3lcxWZCTrNvhAmi5HGZavJzuVynRw4vV+dTDWyyVetFSCipenDZjkO4td94XNV7OJbubia81I0+x0hFel2JAS58FiWTj/NyuU63HF6uzqGMUpLaqjKPi2ZTFJI/McMOcXvqqm24ptcw3NH/aWyLgJxgRXCV0whRKbavd1nlY0ueDi+X63TL4eXq4KpApQU0kmBj+AlrDJfnJW9qL38MmbEcV3QbhP5TF2Ev9+W0L41tLFiRS1UbWlYtebbqNO9yuU6DHF6uDq6KV9QCGqkKryxYvQw1b+G2XIJeo2bg8q4D6IFtNU9M3/hSZw7NvhGnCRJ5blJLni0rLpfrNMnh5erQChV8tFZ8qcIrk6Ckb3Wt3N2MO/tNxA0PPollOxssTEOSNWGvTSFls2tUMnJmuVztJoeXq0MrTOF0FHhVwtT5vZHLKSu24/oHnkTPkdOxpSk2byxhnNCVXj0SK59DkVrl6XK5TqccXq4OrXrwagnLRCip48Z+/hg8fSUuufcJDJm5wrbVOUO4SssaCxbatqzFy6HlcrWrHF6uDqswhiv8M9jUgxfBJb9LVYNb8yl6jpqNq3oMxjMrt5onFpUTgov7Ca5Y3pelDRnVZOlyuU6zHF6uDivBK2CKuBFl5IBxGcIqGwSX/K6Ia8t3H8INfUbi90+Mx3M7DiHHsKgco0SAxZo6ipZy3QDGpEotc7lcp18OL1eHVVt4ycmqhVc51SS79Ky4rVk0pr2wDRff/Th6j5mFTc0Rw+htCV7yzOwjlRrIHDwxy1PHsCO5XK7TLYeXq8PqMHiZ1YbRkyK8VGW4Jy1j4LTncEXX/hg2cxm3S8gzjoGqFAePy+Al7yvAS+1kDi+Xq33k8HJ1WFmbF0Fj3dxbgFVdF3qEIU0JtaUY487+43Bdz6GY+cJ2NDFMVYmahLeURvTQgpem7vIZuCqtZoGKlp/L5Tpdcni5Oqyq8AqeUmir0rbCuU2QqQVLbVvL9jbjut5P4rZHx2D1nibrIh+RR4JVuUSMpQwRvCrwc3i5XO0rh5erwyqDl9qsBBzzs9SGJSAJTPyhKkPNojF6yXpc02sE+oyZi+25tAKvADnI60o0t2GYIkqzbbSGV8VcLtdpk8PL1SEllqSki8ZnCTLmMcmDKkdcqiqQ4CK5Coy4n/sfnbwAV/QYbN/xamRY0ZAneFniYAJhWTNsyCxXmiK4XK7TLYeXq0NKSBG8Yq5ooLHausoEV1mfNUnV9b2MIgHWzDibmmJ0HTGFntcQzFyz3drAYusSHzy2wC4tM3ApR03j28r/crlcp1EOL1eHk8BVCy91cbfqPnpear9Ky+GzJkXua6Yt2rQLtzwyHLf3HY21BwphSijGTzWuS6hiPsrDcGZQU2WjTODSkVwu1+mWw8vV4SScyAK8VMFHzyvrNUjvS0gqEkaNaWrtXROWvICruz2BB8dMwz6m0b44KTJ9bL5VUV4awwSy0E1eXhctO5DL5Trtcni5Opxa4EVwaWYM9Q9Ue5V1d6fXlfBfjh5UI4G0vVhCv4nzcXXX/hizYLVNCVVkvDjJ0/uSh5baJ1EKTB9aukLHD/O61CDm8HK52kUOL1eHUxVequYTflRJKK8r9BaMSxFhRIAxzur9Odw7aCKu7TUUi7cetJk2CqUiojjPeDFTJdxOCDT6W5kXZ7m7XK72lMPL1eGUwSt0uIjM0nKRnhRRlNLz0kclCSOBasGmfbjxoVG47fGnsbExzKqRS/MoJDkU1blD3eIJrZQZWodDAYyWOV0yl8t1+uXwcnU4ZVAJw4k1sW6RGKvASx0xUgKpBJBVGLdoPa7qPgQPjVuAHQnojZWQKxfomdHUwYPblqdgZSZwBd8rM5fLdfrl8HJ1OGVQCfDSoGJ10iC8CDJ5UklSsh6EByOg34SFuPTe/hj73BbsZRp5Y/lyTA8sRlHtZNwOmfEHzQYtV4LamsvlOn1yeLk6nDKYCF3hp2aGV9sX8UUgxXS71NF9y8E8ug6chOt6jcDsTftxkGF5JikwtiwqhxxMNfBq63ll5nK5Tp8cXq4OpwwmQo+6yJv3RdM/tYAVGCJ4LVq/E9d1H4D7Bk3Eqn1562moGTcKhJumhooJL1UaWn78EazqfblcrvaTw8vV4WSwoQle6nFo1YfyuGgCl3oZagqocQtewGV3Poz+kxZgZ177wmS8mn1DjpY6aahTfOgYrxxrwBU2g7lcrtMuh5erwyljSgYvAxhNs2QIXmrX2lZI8Oi42fhN9/4Yv2gdmphAQ48zTyuTtsNEUMotIMyUHaQ2ssvlOm1yeLleJhImWqMjeDlqX6qBRosUovhBIWawLC99f0tzFFr1H3ck/KH+g/K8Vu7L4aZHR+PmR5/Cgs0HzOvKji5Td/hMWRuXziLbbz8rG628sYoqu1wu1ymSw8vVTmr7aBc6UoKAiKgBh+Jl/1qrNR6yrRCSwSs2eKnXoLrGy/tSJwx9aHIOgXVp98G4b/izWHeoGOYzZOLsWNbapfPIzEKzKsSKQnB1pRJPlq25XK5TI4eXq10UPgpZed5XYBOs9SM/gEzhwkZV5g21oYM2Q1CIr3kMNcGT4CWvS7NrRFzfx0gj5r+Ay3oMQd9nlmJXHDpwZEfX97o0wDmEBMu8rxZ46eAKkLWEVtO07HK5XKdEDi9XO0kP+fB4D96WYENolOjzGB0yhfBgR8dBFRgBJAFeoYehPuefqAqRMbYWSug+ciau6j0KY5duxiEmMngxfzs+j6XZ4y0Ppte0UuaL8Tw1RZRC7Vz0ny6dqic1d2IGLplQF2biCGfkcrlOrhxernZS5SEvGGjGizSuGAGRyDQThj5LEgXTOuMdDQbaE/ZW4aVO8qoqtI4b/KfqwRV78rjp8XG4/tHxmFdp74rMMxM4BR5VGobvdqVpAXGqSXoj5Is56/RhMXQeSpMw14R45LnXAsympjIoO7xcrlMhh5er3aUvG0dRAcVinkt6R3FKq8CM0Ijjom0nhJeA8OIK8Aoza2hAcuh1KBzluWfqqu24oucI3DVsJtY1JTafYUw4akyY3D75VprQV9NKJQRXFOe4n+dASMmDs9z5o0TIlgXUmPDiOepbYaEC0r785fByuU6hHF6udpEe6uG5zse9gStn8Eo1uKqOSvRyYnk5LxFe5nkROOpxKIhpfNfwOc/joq6D8PDk56z9yz53khA+BJjgFeAjWOZ5THpbmqQ3yhlMM3ipDS2mdyh40fUiyAiwEvNweLlcp0UOL1e7KWvrKhSbUaR3o/WDBxswYsRI/PIXv8KPf3wufvGrn+HBPg9i7doN9L7U7hQ6ThgUKlw4HBDCS6j6E2pU1Sdwqcpwey7Bg2Pm4IoeIzBu+Rb7GGXRJusVfOR5KS/ChyAyzyuRr8Z99MQyRarWZLSE7ldKgJXoeYFgUzWl0tbCy+VynRo5vFztouB5BS+nUDhEWETYtHEDLr7oYrz3Pe/HJz/5SfzjV/4Bn/vCp/Gnf/Zn+LevfxOz5y80LElCWMijLbgkhQl0gogwEjpkaHzXil0N9vmTmx8ag5V7CwYvfa+rrA4aOh9VG1qVoaoAgzcVF5uwdPECjBr5JEaPHouVq9egYAArmyemNi+6Xsypajqq2s5cLtepkcPL1S4K4JLxIU9wRcVGPPhAT/zhm9+Cf/3av2PNmjVobm7Ezt3bcdmVV+G1b3gLfnHhZTjULE8o4MmWRwGYPCl9i6uQpMjxeA0Mnbp6K67rNRT3DZiIHYUwi3yR4EroeVmbF+MZyCoQOnRoH554vA/++R//Ae96xx/h7W97B+646x7EzFdA1HfBdByNKYP1SgzmnpfLdWrl8HK1m1RNCKtqi3Fg7zb87H/Ow+tf/Rr0e/yJsN98JmDh0uV4zwc+jL/9+69g3cYtFiZcBWiFqkdBMIQGaZ96J6qasZiW0MzlLvJl0MxluKb7AAyatBAHyac80xu86DmpXU15KL9QTVjCooWzcc73v42rL7sEX/3yP+Kss16B3970OwOXqiHVlmbtYPLezINTL0duO7xcrlMqh5erXSS4BI+FCCDA9u3egp+e9wPC69UYOeJJixOl6gABPL9uE/78I3+NL3zxn/DC2o22r8qpAK8AsLbwIlj07S4Gy19b1xjZjBrXdhuIWSu32gzyOYIrT69JVYD8z/OpnJfgxfPasnktnls4B8WmQ/jpj36M177qdbj51jsg5KqLvX06JYOWVR2G83F4uVynVg4vVztKD3dBIo9C0350v/dOvPG1r8FFv74ITU2axEneTYJuD/TBm9/2pzjn3J9hzz59uCSTYKU8ZAFetVWIWrVu91xRe9fi7Q248ZGncOvDI7FmZ5NVDBbSGHkCLGIW6v6u9KrSLBFoBtZUiCKYCnn86PvnEK6vx4033dYCrxz3RUyf1nhdDi+X69TL4eVqFwXIiBZ82MdES6kZG9euxHe/+U382Z+9B7/4xS/Qo3tXXH/j9fS6PopPffbvMPnZuYargKeQ3qrrBIosVPmGVe4rm+elz5yoY8bElRrf9SR6jZqNbY2aMoqemcZv0csqcl0DlXk2/FfxnpIiShHPLc6jlMvhgh+eh9e98rW4+ZY7rNpQANPUUxE9tFQdPNTmVYFXBtFamNp5tTWXy3Vccni52kV6wAd4ET5xE0HRiHzzflx11ZU466yz8Md//E58+tOfwvs/+B7b/rdvfg/rN++upCVg1LmCvpPySdXmZHvCvkAFVf8JTiVrmzrIoAHTn8ev7h2CwbNWYT+TxwRfWioQYhHBFSAnFGp6KAOQus9HeYMX8nlc8IMf4XWveh1uufX3AV6MH9q81JU+g5fazgK8MmtROK3W5nK5jksOL1e7SP6N4KWxUeW0mR5SE/r27YN3/8m78NGPfhJPPTUam7dswMxZz+Ib3/oW3vSWd+Ca629FY7P8HWUgXAkS8r7kK9WIWQsa6rCREEKC15bGIroMnYUrej2FKau3h/FdmjGD3lWcxOZ1qW3MutZXqgChqsO4QErRcoTXOT/CG171etxKz0vjvAK8eBzGNw8wgx5NnmBmLpfr5Mvh5WoX2SOdXkqofCtg27Y1+Lev/1+89nWvx8BBw7WX0n7guaXP4QN//hH8xUc+hbkLllmY2FW2buoCYCW/GilM8IoIILVNLdu+H9f2Go3f9X8GS3c1WhtYRDBp2qkoLtEL49EsH+ZpANIBeG70vqBxXITXz875Md7witfjlptr4MV8UsGK8DJP0s6kgmaeRNgK5nK5Tp4cXq7TruzBLs8pPP7zWLxkNj7z2b/GX37kY5i3KAAqLRWtWi+Xz+GLf/8VvP2P34PRYyfbPhO9JakeHLStHoTqTKGehlOXb8PF9wzCA+MWYWNzTG9MPRE1d2GJ8OJZkDuhw4ZgGMwm222BVwEX/PeP8aZXvAG/u/n3hinhyio/FbcCr+xcZA4vl+vUyeHlaheFij55OGorKuD5VUvwhb/9HN7z/g9g5tyFFqcYNbfA6wtf+Hu8453vwdPjn7F9FTqEdaotHLSd+XV74zIGPPMcrug2BCPmr8MeEkc9DJOUlpRQtE4dJZs3Ud4cTygATEDS4OMWeJ2HNxq87tQhDFw6hqoo1c5lv4+2K6bT09Llcp18Obxc7SJrDSqHB75mptizdzvO+/G51jnjqquvQ7GoliqphIEDB+CP3vEufPZzX8SK59daqMZjqe7QwCFjjgEU+hnQqDYsVRlubIxw96CJ+G2fJzFzw56W+QyTWPBKEaXqTp8wH55LKnAFU09Iq9qU9yV4nfNjvPEswuumO7if4OJBArx4lhV4SeEMHF4u16mUw8vVPjJwhcd8qg4TUR4TJ47Hpz/3GbztHX+EH/7wh7jrzjtxycUX4c8/+EG8/30fwMOP9EUUZ4DQv9TAJY8pwMuQYaa1In9oVNjCzfvx24dG4PeDxuH5fYfCzBgki3leNE3opA9VGrzkeNGsLY1QK2dVh4TpBT/4MV5/1utw640BXjqViLAzB1CJKvCS7Ez4Q0uX62hqeVlqoyOF1QvvjDqj4eUX8sxV6JUnSqhWLkEu14RCIYd5C+bi+huuxxf+9m/x2c98Dl/6uy/hol9fiHFPj0MTvR8hIlx3eV1ZNZ3+aUV7Ba4As6yL/NiFa3Hl/QPRZ8Js7IxLVpWYqrMHYaPOFgY/wUpVhhXiWBjBlibMJZUlOO/7/43XnPVq3Pjb26x9LBK8GN+OSNDZL1ORzsfh5ToWtX2GtX2u1XvG1QvrbDql8Gp7EU62TnX+rlMpPuh17biIixFyzWrfUucN2BeLt2zdgs2bt2L71p3INalvoIBC0AlQ5rUJFMIGN7XTpLUAL8UQvHaRVI9PXISLuz6BEXNX2ES8qk4U/PTBSc1pKFDZV5or7V3qem/wojcWJ3mGR3S+CvjZT/4Hb33TW3Hb7+4yMCkfnZOmoQrjzmThLGQOL5fr1OllCK/wUAoPIf2rPgzcOpLpJ8UnfDFfQBRFiJICYoIith6IraWPVDYXGY8ekJUN89xCtaHl1PIjAE2DjQWvF/bHuGfQVFz9wHDM2bjHeh4mVtUnD4xHqsArVBMq34onRRNMk1TnliNgc1i8aBE9wAlYtWqdVRmqo4d6NNo4M4OXym12FgJb6/Jbq9pwt5e3hfJWfS4dm700vdhzMtt/fM/UjqmXWbWhLkrl4luVkKp2WhcJt45jdg/yR3NTE6JY8CJO6O1obJZ5RARCMUrM9AHIQpIQFoJWdUBwC7wkWwnbQpw6a8xbfxDX9R6D2wc+gw05Hos71cPQxoDxgaTpnVSFaO1bXFrnDxn/CaSRfUW5kWmUG8+b6Xk6BBeNvDLvqwIvpdLR9VPHN7ApTcUknVtmtfvc2tfC1Ts8XNcpi/HiVpvy5MqBdbhOC7zCQNLwx89uXP0M6/zHlVBQwk8t7ZPrfEjpDbqe2WfdK1Zvv9vptACLl2S65jSVAcFDnxUpREXzrIopocHrHxMoxTixzhX6rEmR2wJaAJe8JcFLwGE+KkTKrCL5bg0sTuMXbcblXYehx1NzsJdhBcZTNZ8sYgKbz5Bh9jkT5sfgYCpbPNOoXORxcwyLKh08eC78BQp8VuX5SxSZPmYCQZW52jKm2debmW/4fcPfSQ9IVTPqfGX6G7T6mxyz1f7t3U6F6Yts6sijF5HwdNJfPnykVPNY6pM5wdSCqpiaGkzDPrTNHCrPPBXLw8Qw7dNz0TYr67ZkuVFP2pA2hFs51z2iFyyGSWFsoYAZ0mfhWloVeGVbarufP239TNdJgFf2xwgW3Ovwxwl/yOwiVvbpgunicKEP+ekGV/WO3mvzTJZn/GKiSVPDG3j2ANAbriwUIY3f0Xdug2X7WqwSx+0MMLtmvMaVZWQmj0hjr6rXu8infmyw0o1MYzkpMYzvNyjRkwpfP67sZ5lQedqeK+Hx8QtxbY8hGD1nFRp1DJY7mwuR5UueEYsay5oeEjJBi2Fc1yOIj6kw8a5BiWWVEQQ79WLUfi2DVcpgS5nMymc498xs2+KFZdv9bu1kvBa1zxi7NpVrrZcVa2PV/JUlVWvzZYbPJW6xfOoFK8+yx6utlxsb9F5kvJhlTDBjgTLwhWcfS1ilfKqchudiBi1NUVZQ7QPLpp592k4SLvnyFhW5HqlHboQiX/A0oXTE8q8vJihMvXX1sp/q5Uq1EzQLJ8QOB6TWLcTCz2SdJHhlFymY/lCSloKX/n5hnW8E3NCUPHpbVfuDPnxxgLaxsYjl2/dhT4EXiXHDBYwYL1GOLaa317ZvSQqrv9+9so5idl31UNBbL29U9e4r68GiJ43KSMk+K2n7Y3luLFPrDxZxz4CncX2PJ7B0464AHZY7eVF6YzaAMW2slyXmZR+VJA3pf1WOq/KTlaFjLUte5s484zUjTGrD9CIlj18euL6SXUoLXC+iiYDa0ZzDugOHsIdvQuoAlGc50qd1DDzKpwKg8KLF3AQ/HkNPKJUt/STOGBaei5JqHHJ83hUYP1IP16OoyLj6hE9IWVXC9Pl8Pkx5RnhpqWeupOME45noMX1Y6jNPpwRe2R8me6vQG3IU6Y1A1TKqdknQzAt6kHFWN0aYuGYfuoycje4jp2JtQ7O9NRu4ohwfKnwo6c2G70jZ0tbDu099YyHTg6zuvjPR9KB9qVYvn5eT1TvnFgvXuq0JOnE5vP0mjGNjs/SQsO1mxtHXtfJ8yPDliGVo8dY9uPaBJ3Bn/5HY0hQhZ16TKgMJOZUP5cmyEiysqx7Ayo6VIR63M1vN3/6YrV4+LyurXFu7vtm6rj09Jzv/8IKU/ZOPFbHMqfo4x7Kzj4+3WRt2474R0/DErFVYuCePzVEZ+1jeNKawic+7fOUZZ+CrQEPPwuzlWmZttRYusOh5F9JE9KLyzY1YsWwpnh47BqtXrsaShYsxZuQojB41CgsXzTfQqXbi+TVr8dTo0Xhq1JOYM3sW9u7dV3EWysjlCuaBtTyDK8vMOoJOObykVLMYaDYDbuqdQjMcrG9KMGH1Htw7Zgku6jUJF9w7Enc/OQdrC6l5Y3qjUdxa996rWTqv6drrpUblQuVDneezMlI1oSfEUxkbsXgNft1zAB6dtRyb+QKqB4zClVZev+JlZUpLL1+d07IyU2tZGclM23rZ3kabsjmHKx99Bud3ewo3DJqFR2aswYytTdjIjBoUX885QaQGFtZGxfKZeXXWzipjXLKGoGG4JtlkWNzYhGsuvsRmm/nf/98n8Hef/wI++N734q1v+QP8+dkfwG133IZH+/XFl//5n/GBD/45/vRP3oU/+qM/wk9+8j9YtmwF81LtVqhyrEJLy8wcXhW9OLy01IUscHPLoTymrt6Ork8vxoUPTsX5PWbQZuOCrs/gpkHzMOb5nZi2eRembdzON5xtmLdpB+ZubG1zNhwe1vFt+0u0enm8nKzeOR/Z5tBmb96B6Zu3Y9qmYNNZNmZu2IlZ63ditsqE1rmcsXEXJm86gN+NWoyf9ByD+559AeM27MfUTbutXM2UbWD5Ws98Ld0OS5/lYVb3nDub1b8WR7d6+by8bY6Wm3bacjbL1CwuZ7JszNywleVpC8O2YSbL27MsVxM27MPDc7bj0kfn4CfdpuBnPafh5z2n4Lf9Z6PfjLVYvLkB+3N8Weezzp6MGTz4T56Y2tIETHtKVh6dqlUk65Bq/AVXkoOHcMMll+NVhNcH/ux/4ZHeD2LRggXo98hD+P8++mG86tWvwtkf+kv8z89+iekzZ2Hs2NH42te+ZrC75JLL0NAQvjZeLKraMECSGXOZVWPq6Ge+ThBe+iPUswAv/dGyni9qW9iwczeeGDcDV/V6Ej/tPg4/un82ftJ7GX7acyl+dv8CviXPwGW9p+CyB8fi0gdH4PIHRuDKB0biqt6jgj34FK7ksnOafveXYvXyeDlZvXM+ul3B6y+7vPdIlpORXI7CFQ9wX89RuEbLXqNwyf3DcdlDY3HxI3wpemAeftRzNs5/cAYuemgqLu41Gpf3Ypli2qseYHliuqu1fOBJljMay+XVzOcqO169c+5sVv3bH7vVy+flZCNb1lueKzKVA1uqbITycBWfP7/pPRzX9x6Ka3sPw9W9R+PiBybhFz2n4oKeM/E/3Wfi573m8tk1Cz/rOgmXdR+Dux4dh0nTl2HvwSaDVVt4WVuawvV85A+BS6b3/JJ6D9ENSw424LcXXoRXEEbXX3lN9jjlMsJN115tkPrc33wBK1/YUNkBPPPMJLzrXX+MT3/601i7Nsz/Gcc6NpPp+DxIGFqippeEgdXn9Jmq0wIvXUD18NrJN4oJ81fgtgGT8WtC6tzuM3BO90X4yQMrcX6vxXyDmYGrH5+Gax8bj98+PhY39xuPW/tNxO+emIRb+0/GLVzKatc7l+n3Plarl/7lZvXO+2hWk7bvRJaNSfhdX5aHxybhtscns5xMxg19J+C3A6fhwj7T8cN7nsGvH5qP3zyxADf1n277b2fa256YgNuY9namuYPl67Z+E3Arw25lefsdw2+tPY4brd61OJLVS/8ysv4TaBNtXc+VFlNZoqksWHnoy7LQ92nc0ZdAenwU7nz8Kfzu8XG44fFncMVjs/CrPnNxAV+OfsoX8Au60fu6dzwuv28keg2eigUrNuJQTu1nlbYuGWGhjhzq1KEWe/U1ErBawCXI0CtS99m04QBuILxeQ0g90KVneJbaOMMUwwY8jre/+S345je/hwOH1G4XtHbdKnzms5/CR+mZLVv6nIWp+lDwUhtY8LZ0Hg6vGukPEP4wstCzJvxRsgunP1zKP6TavHLcta4xxvBFG3HT0MX4WZ/5+GF3viF3n4ZbnnoOCxojbGHa3cxGvRD3MX5dY15unc3K2M9rr0/474+5TjsQsZzwXtwXA3sZvp3x1nM5cO4WvgmPxWNTVrO8lbGXcQ7yiXEwoXF/g7aZ9iCXBxiuvHWM/a2O59bhrPb5UVm38lSxA5lxfwP3HaI18rnWwGfYfj7XtjB87NpDuLTvbJzX4xmc130KLun9LLqNWoopK3Zgy6HYnnFq27JehebxyNPKPC8+B7VdeTZWTS/5LJDlItJDe/Hbiy6yasPud3YPz9JErW4FjB01GO96+x/hm//vP7H/gDoq2V6s27gaX/w/n8fHPv6XeG7pIgW2OA61npc6u1XhldmZqVPa5qU/npn+gAxO+TdTr5oc1/fSlvKJM2D+Ntw8fDF+2Ws0bhoyCSsaC9aorkZPjbNQ3bHG+6j7fJHrGhQqC2Funcd03dVeoAeAyhRvTBYolS+9FOWTFI3cr7KzlTDqM3Yuruk2BFOe2xQ6eHB/XIqRpOpVVhlIzHKk3lk2ppDbOoaN8XHrXGbPmhpTOag85q1fs/VejYiOhC/VZUzbsA9XPzoeFz0wFl2efg4TVu3G2sYUB5iXdfhguRKkWLqq0OC24JUwP+0JQAmemcLDBNGh64jgdcMll+CVhFeXO3swTFLOeTw17Am8663vwLf+3/exd2+OafS0TbB2wyp8/u8+i49+7ENYuix8D0/3ho4h6fgOr8OkP071D6E/UAYv/eGsezyDFJxqhCj/bkmc2lQ/epfYRZgt29OMEfOWYejMBdiaK9gsCOopk0Z0cRm3zKeT6oPN1IvH1rU8UWPh4fnU3/dyNJ3vsVq99C83q3feRzFde14wDcgss/ywkHDJxwtBVkgiNBFm6u21fH8Od/Qdi1v7PIllW/bZm3BB4140d2KsLvXqds93Y+YXpoXiI8XGjnFZ9zyPZtn51dvXUazmGryo1Uv/8jE9S8LzJLNw3ioLmRekF6Mw6FemmVWKDCe6CLGDfC4t3LADA59ZhEnLN+OFg3nsJQg0SCPHh1uBaZmtAUmeV/XZKHBU1rQvOxbXw2wseqESoPiC1bQX115yEV5NeHW9tyefo0xXVp/HIkaPGIB3v/0d+PbX/wP79+YrT9oUL6xbib/90ueC5/XcfAtNbPCynsmh2tDhdURlf4jw5wwK8FLdK6+TVR22FBRBjQ+NmAVCtcMa/Len6SDfkIsWptm8k5gXU3QR+VqschHMsgtTazxQq/hHMsbjG1LVjjVdO5qdY8Wy9SOG1Un/crO2v8ORfpfKuq65xoBpHI4GjupbW5pZQ60IBS4b+eDYzajPrtuLq3sOxX2DJ2FdQw7NLId5m3IqjBHTe7RN52R5hjITpodqW9ZexOzcasqQzrdevDPdaq5Bq2W9sHrpX05Wc71arr2ZHuxc0sJMLRraw3KiAcpqh2K5oW9O7z/BgUKEfc1FNNNNszYs7osIl1gvRYyrfOVJtcCL29ljUfvCn07LAC+N2SrwOBpLprf7pPkgrrv0YqjDRtf7evDYShc69T81fCD+5B1vx7f+/Vs4eEDTlvF34L+161cTXn+Dj33iw1iydIGOZPDVi134PSvPzLrwklVO8AzSKYBXkP5g+oOEN4xqmDUeqvBoN/+w+opuGG2hWuIwkDAsVQj4R27Jt57V+4NbxsdglXPIrG4ct5eT6eazwcQsL9nsBXw14gOF3nopsnFfO+IynpixEhd1HYxBs1dhF4uWPK88PTWbQd4eQVxnfnpUtVb94x7RsoeSmX7UieP28rKW60WrCRe02lr2z0DEZ5ENnmf5ESxMuub2whOAoH0ql6GchgrCcEzGqxwzgIShNfAq8jmY48tVPqF3Ry8vyTXhql//2noVdu3SlXkKRHoWpnhy2EC87c1vwr9+7V/RcFCfEQpZr16zGp/+7KfwoY+cXYEXj2Hw4nnwODqn8Hvq3tHztvq7B1MuZ5ZOIryOruzPk5mU/UFbS2Ey7VfM2j+w0oaiU8+CtFabpp7VU714L2bHo3r5vJhVf7tTq2P5251Me6m/F294eyiEt0m1pQpGmoleJnhtyZfQa8x8XNhlCCas2mbtXZp7sEio6YGhwaF6BOlVSe9QraWArPzVO9/M6p338fztXurvfyKqd/wXs9Ol9vrb1ctXxrxrss+eQ+a5cF1bmemn4FJJRdNPAa4Wcq1N2emFXqYqRn1itZHwaoo0tVMRxcZG3HnzLfjzD7wfDz30oE2RpxosTa038enR+PSnPoFf/OJnOHSoybrDq512w6ZN+O5/fBf/+E//gGUrFtu5qn236nlVzp+l3z2vlyK74OGfbeqfrmC2zYVtmirhLdtSJeyYlcU/ktVTvXgvZsejevm8mJ1O1Tv+qbKXKN2AvBntn25Oms1WwF3q3KM21FV7cvhd3/G4/qExeG5X+OS/Boba5LtMr+7KuoV1u0qhHIZlOKva86uEWJxaO5LaxnsxO52qd/wXs9Opesc/mp0M1ctXVlHtpi2r+6rPq6qqYVrJrGZVxoKnePKYZAJPgeWzKYnQHBdQLOZRaGrGlvUbMW/mTGzZvCl8LiiiFYrYt2snliych9WrVjKMoNMng+IUDQTe0uXLsGDRAuzbv8c8uIj5qepQBw0QkwUP7tjL9MtXp83zcrlOXOHtUVWFajy3xm6GZj0E5XlNX7UFV3YfiK7Dp2FzoWxT+xi8eIOqYTx8UqV6s2brNpWPlvxpIKuJ43KdkFSUKiaHRx6XvH5ZQlPv6XwSo6D2fnpemkHe4isJy2E2wW5MgLHQhx2U2mi1T30K9DmhTKGjRmx5BXhl4ApV7dYvoAPI4eU6oxTgFf4JNC3w4lLjc4bOWIRL7n0Ug2Yss7kM9fHJSguqwUtpWsSHhvU41LICr1o5xFwnRSpCFcvgpWKVAUzlV8NAivSwBBz1eo2LBA+9Ks13KM+rZZJdltdEPWcJK+sJKVAxXJ8L0udScjlVJRKA9OSiKHheVWgFgPGodvwzXQ4v1xklwUfYssZx/hO89KkTdcrY2lRE71GT8JueT2DS85tslu/Q+Zhvr/K6uLT0fItN9TCwIRcM5QNBk0fbuJgMZA4u18mSilHFDF7kh4qWTPBS9WHCDVWDp4SODd1QDQGhlFS8rtDpolL1zbKr8hu+46VSzfKtdrFKBw0BStWPGbham/Jxz8vlOq3S/R8axwWWgDHd9PK6VGW4fMc+3PbIYPzusRFYtqcxdNagmddF0y2rakNVv6SacVvA0njCioVtgoxPE3tY0Hgg/neQuVQUjrMMKFnFyA+WM5anULSqZv8ElgCZ7DXNvsichvJnQzsqe6yau5WpdIf09ZZVzyvE7whyeLnOCIWbVrX3dkvy5uXbqNq9+C/Hm/EgIzy7ciOuo9d1//BJ2JLToNHgdYV04ebXQOcMVGpbyACWRAKYbnI9THiDWzr9dLlCmThuKWlmKl+hEBvAQpf5kHfwilSjoLJtJdYi68OrepmyLvMMtZcxvoSFtAKc4gc42d2RHYAmaIUwbQdwObxcrtMo3W66JXUrGlZUtVIZFCqvaw93Dnx2Ea7p0R/DZyzF3hg2U0sGoNqbNiGs4mLwvrSU2b1eUZwk1gCuqphafHWUm9710nVCD30rgBULPGoxg5K8KwNYAI/gpXKtFzPzmFTWGacFXDSbforno/axsJ9Lpa1ZZqbtrKrwhH6Pl5kcXq6TqnBzhJswLGuoUNGRbp6j3VTak8HLqk90YxJe8r3Uo1Dju7oMnYJrewzCrNXb0MQEoZNwJU8uQjUgb2y1DfCmV5tBaABP0HioEQ2HDqGxuQmJGiGoRA8WJjTTuWVZVc6z7dLlOqIEp4qxCNK0ZMlSWVO4/rNcCzYGrooZfAxAwevK2m+zyX3lddn+itVCy9Iyj+q9GMDVUcqrw8t1UlS9MXSTCDN8byyFbrq6iXR32s3GOK0aoCtL2dGkvcpFvarsGKWI97ymeiqb57VkxwHc/MhTuLPfeKzc2WQdOCoMCuIDQtUvenIIXqFhPEZjQwOeHDECF1xwAb79nW/jP//7+7jnvvuwdPlKFFW9yPzt+cIs7DztTIJe7JxdLpOKiawFXpmxdB0FXq0hFDwvG2CvdYur+6AevHR/VS3ckzIek6Z0HUEOL9cJq/oQ1zL4R0lS4A2mgZI5xHHBuu6GMSm6EQPAsu1jBZhyjugx2Q2eFhCVCtAXjdSrcOKKTbis6wD0Hj0bWxrpjfH+NHjZzaobuHJzE1xxVLBlPteA7t3uw/ve/1584hMfxw/P/QH+5d/+Fe87+2x88cv/iHkLwqclEj5orL2B+dhs9pWb/8XO1+VqJRUbWQYsLSvroSSF+yf4WCqzKvEhkbZVD6AtxaqWvJCmtVX3Hkkdoew6vFwnRQE+4WbT+2Eufwj7D+xCvnCIAMtzu8kgoge/ZgvYt28fcrlcC7yORcpZDdXhDbNocxrm+Eapb3z1n7EcF3V5AkPnPI89dPjUA1H3Zwad4K0JegRqlOPOGOOefgrvftc78JEP/wUmTR5n42N27t6JSy6/Aq947Rvw4/N/bt6X8okJ29BIHt54Xa7jlrjR1lpWawItXD9U8mUWUEeV+C3WOeTwcp0UCQ7hrS+8KU6eMg7f/s7XMXBQX95OGo+iedYSNDc347rrrsP555+PrVu3GrzkhR2L7BY274n+lqoMaWrv2pxP0G3kdFzdewSmrd9jHxHUrBrWG4v77T2WYNU5aHbwxL5YkMftt91kk59e+5srCdhm/g6q5gRB9gze/s4/xZ9/+OPYvb+BaYP3ZXMp1nheLtfJ1GHosQ39eDF4dU45vFwnrOB1BWiFlqky9u3fiSuvughf/ee/x/OrllmY7MknR+CTn/wUHn30MZs5oFjQLAABXsdSlaHqv1Kq2bf19SR9IBBYsm0frn9wOH7XfzyWHSjY+C59XDLrWqxPToRO9ZoHLodC1EjvqxlPjRqGm2+6HosXz0OqGb3lkfF3GDVyNN769nfhLwivA415Q3KkrvUEmM2NaL+ry3VyFe6Qimo2wmoFXll4ZV9nlsPLdRKlG4xwKavSLsG2bevx/e9/Exde9HPkcg3YuHED/uHLX8Hll1+FpmZCJI4RFTUrgGDw4nejqiXlPclDiug9Fbmtz7VPWrYeV/UYgF5jpmNTIXzkNKKHpl6DAo86dYQPqWgi3xj5YhPT55hXmH9DltITKxNe+caDuO431+E1r3kjzr/gl4gT/k48NQOXmbwvf3K4Tr5aMammiIXwyt7KwqyTy+HlOomSB6Y2qQglwkUtT0sWzcJX/+n/oEuXu3HFFZfjX/713/HCmvXmo+XjhADTLBmCXtCRvS+9e8aER5j7LaK3JkhtzaV4YspCXNV9AEbNX4V9BEszYWhgZN7qVizIaX5DrevjgYWI4OP5qaow5TKlF1bW+TLvUUOH4D1/+md473vfjzmzwxdpU0JLvKLzRXAR0Vz3Z4fL1b5yeLlOWOJNlTnyVDRxKIGQBoANGtgX73vPn+GTn/wExk+YZODKRTGKJIEARjYcg5RKnSf0lW3mTxCpevCF/QXcM2gCru05GPM27bVu85qhO9LkpIQc/UAiTxaqEAXKSOnVcUPeG72wJA7VhSueW4K//cxn8AdvfCO6duuOpqacQco6aqgKkhYqbxxdLld7y+HlOqmyx3tZs2HnaMJLilEjh+HNf/AGfOELX8D6DRsZo+J10ZUpJBqzcqw4UCcMVRlGKBB8B5hozoa9BNcg3DVgPNYeDG1g6k6fJPTQWqATxsWY0SvTp90143ZED0xtXzrHPXt24dwf/gCveMVZ+OUvf4Xd+/bbeQqSSmdtXTq+o8vlelnI4eU6YWVVfVnHDcGrkG80j2btmpX4+r9/Dd/+5jfwne98BzfceBMONTajSHDJ8xKEaqsNjy7GJZT0kb08j7WXiUYvXo+L7nkMDz89F3sT+Xmq2lN7V57wUu9CVWPqvIhVgSvhvljfOuI+DVamaQbuu+66C2+kx/XVr/4znn9hjYErTwiGGQ3ksYUOH0SZ48vlehnI4eU6yVJXcj7kCY5C7hAuufiX+McvfxEbN6zDuHHj8bm/+TyGjxhpj3/BS21XQleGr6P3OBSA1O4V2Xe6NuVKeGzKElxybz+MWbjaBivn6cmFGTQK9LqKBtJspgFNyqspomxOQ/smEv00gnPs02Pxvve9H+//wAcxYcIkO1KOgMslBBt/H3X2SPR7yTTYmSDTuQRzuU5M4aXv8LJ0pHBXkMPLdVJlHTb4T70C+zzYE5/8xEcxZvST2kMPJ8Ltt//eehzOXbiIQKCnJA+o4nm92I0qD0qzdcQEYwNdo+V7Cvj9wMm4pvcwzN24K/QyVDWkqgzpeZXLBear3owCGI2eVJjLUL0Lw4wbSxYvwuc//3m85Q/fij4PPRqOQ8vRQ7Mu9rSozPiCIH835ZMNxg4xXa4T04vB68Xui84qh5frlGjmzGn4+y/9HX53y02ERKiekxoONeI73/0P/PBH52LHrp0t7UnHdnuGasNcVLRPoMxctxdX9hyGe4dPxcZ8CXmGpeZ50eMqyfOiZd01KsAJ00PpK19lbN+2BT8457/wute9BldffTX2HzhoR8kXY/MI9WVbmTw9nb8tk4hJHV4uV3vL4eU6acreELVcuHA++j/RF5s2rjdgaG7DbDDyc0uX45FHH8X6jRsqPfnkeR3LGybhRS9IXd/1yZOR8zfg8h5D8fCkRdjNrAvkiT70ZzNwlPLMlxY6yZvHZPDiMokFrxJ6P9DTZtiQffc738Gll16Kiy6+FL++8CL84pe/wu9uvRW7du4iCFODlgBW4lIeW4CXy+VqLzm8XCdVWTVHBiI99IvFHIFBD0ZVcXFqJhXpARVqZth4MallLC5rXg1gB/nz4NMLzfMas2SDDVaOK/Ay0BBeMrV71XpeAlChmEchn0Pfxx/G//3nr+Ib3/h/+N73vsPl1/H1r38d3/zGN/AvX/sXXPA/P8X2rdv0SzFP5sG0ZoRZrV4cui6X62TL4eU6CarCSgutC1Sx2pa4LAlaRU2IGxEcRcT6enGl559mlj/WuQLVUb2IMIPG+oYS7nhiMq7rMxLztx20zhrkVhVe8r7UYUPgQspzCibPS93kC4UcrQlNTQfQ1NyAxsYG5HLcbm62b3vlmprRxKXOOyFcBVh1+tDv47ByudpfDi/XSZA8keoDXQ/3VD0JixGiQhFpFHr3CV6aSV5LActgRs+rFgZHAoO8LuLOev5pLNesNXvwm/tH4Z6hz2L1wcgm6BUDy6o2tE4VapuSx6X1Eq0KL/O+opzNfG8Dnwk4VWvqKG2l3ok6zwAv+nCErcPL5Wp/ObxcJ0EBXnq468GuZ3uiXn/q2WeeFx/8lYe/LANBBgMtpaNBgbkavOR5aVjxkGeX47J7h+CJaSuwg9wpMKmySRN5aIwraKltSnM5VUy9Fe343JfaTB361L9MVZehXUznkJ2butZrqbPKLHQu0VqNsp0ul+u0yeHlOkEJVgFamQ5jUOXhrod+gFvVbLcta9frixhEjrafrOwzah6uuG8Yxj23EQe4L4NXKRa4CKgSYWQk47nZDrllOqahjSmCWZUicxaA2/4ekp2nlvYvnGXrGJTSHBbocrlOpRxertMmA0GLVZ75tp7BpC0EtEFSGXgEL0KKtmZfDnf3fQa39B6P+ZsOoIFhRe63fhTqKq+u+RqXxUS1VYa1lsGrvrU6CZfL9TKUw8t12nRkeGUwaSuFEVmKGNagTu5TV2zG1fS6egyejXUNCdRyVWCcJCaobPCx4EU7Arxag6qeObxcrpe7HF6u06ZjgZfCguQ3CVcy86GgYc77uTlo2jJcce9gDJzyPHZGQCPT6MvJiWaoTyLoe2Ilg5fA5fByuTqiHF6u06bW8Kq1ABUhSn0rAjq0pW7u+vikABZQtuFQEb1Gz8bV3Ydi0tLt2E/WqOt8wnysW746XrTAqzW0MjscVjKXy3UmyeHlOm2qDy4ZMWM9AEtq4eIyhAlXmh0+1lePCRhVGa7Y3Yw7BkzGdb1H4LkdjdZFXnMQatyYzV2oHoNMp96GDGE+h1vAY1tzuVxnkhxernaXev8JXpoE1z4/wjB91iQtFSoW2SRPDWTM1NU7cWWvEeg6Yga25FLrZahBxAGC6qyh7u7adm/K5erIcni52kWhuzrJo/8Vzyv4TDYPfKj2y6Z4Yqi8rj1MMmjGCvzi7n4YMvsF+xhlQTNqyONq8eLoXfGffuq/y+XqmHJ4udpFAS+BLgKOVRtyW/BKCTNrt6p4XjFBpurBzc0peo2Zg4u7DMIzq7ZbmDw1DTDO4KVchUWHl8vVseXwcp02Vb2jgC1jixhTgVdiAJPXJXjJ8yoyPEKhlFiPwue2NuDWx8biZtry3Y2VjhrElKoKbfYMtZep3UytXdxweLlcHVYOL9dpU114iTGacokAErxCNwvix76YXEDCZZ5gOpgCU1ZsxpXdBqDnUzOxvVgmvMqIbbb3AKoMXpYLAejwcrk6rhxernZRC1eMYvSe1O5lPlOAW/gGGD0vEkmzauwqAkOnL8eVXZ/A8NkroM9G6mMnSUpQiVrKRgBj+pCPw8vl6shyeLnaRS1csYFd6h0YgBPgxWCDUoKYYFJnjU0NEboPnYIbeg/B7HU7bVaNolUtZj0NCbwWeKn6MXF4uVwdWA4vV7uoFbxaAKYqQ1Up8qe1Y6UopmXrmLFixyHc2Hs47nh8FNbsazRvzNrIDHIBYHLArMOHqg0NXk4vl6ujyuHlal/Ja1KblQBmm1oKRuptmCDPffrQ5KRlG3HN/UPRZ/RM7GjWuC+CivvV09B6Gxq0Qm9FeXC2JZo5v1yuDimHl6tdVEEVLUDGqv5a/glKBSRp0TysvSnQ5+m5uLL7YIxZsAaHuF1k/CghxIr5MLOGpQomfClv9UB0erlcHVMOL1e7KEBKnlFi8FHHjJiwsQl2SzHiOEc4FdBM9mzKlXHXwEm4ttdwzF63y9rANJehTQFVqV6UhCytKV/l7nK5Oq4cXq52UWt4EVZq3yKQioJXWd3k8yjS82pi3MU7DuG3D43CHU+Mx6q9hBrDhKdMAV4hJIOXfrpcro4rh5erXdQKXupVWA69CgsMjUthdo1CGhm8xi/fiMu6D0LvsbOxi+TSp1GEJ5N1+Ag+V8iTWVq7mcPL5erIcni52kW18AoDlEvWq7BQTgkvje8qEmYp9tCVemzKElzSbRBGzV9tk/Nq4t4W1YWX7XG5XB1YDi9XO0qUIXQ0QJnwUueMAoFGfCFOC4RZGasONOPOQZNwbZ+RmL9xP5otRWu/KvQqVGhgWfC8XC5XR5bDy9WOEmnU0zDAS21Z6vSuT/jHpdhANXvjHlzXZwRuHzAR6xtCF3mbt7AGX+HzJ5XWLoeXy9Up5PBytb8MYOrmHir/5HtFXDZwe8xitXcNxEPj52NXXLL2rrYdMmrhFbYdXi5XR5fDy/UyUMX7Inz0ORRNEiVIbS+U8ejkJbj4vicwbukmmxIqNi4FeFUZxRWrNnRouVydRQ4vV7upyh7BKxterImdQhXiqn0F3DlkKq7oMRgLt+yz3ogCXICdgJXlEcJacmy9cLlcHVAOL1e7SGDJzMBT1gclK503GKrOG3M27MM1fUbh9gGTsLYhjO9KbEwXreJ2WRuX5dIWXi19D7Xhcrk6mBxernZTFS2CFz0vG/Nl88HbJ0+eWrQWF97XH49MXozd5FWYjFfwqoJK8Arr9eBVE+ZyuTqUHF6udlHWqcKwQyDZQOUoomdVQjP3bc6X8MjEhbi0S3+MX7zBeh5GjFyqNnS5XK5OLIeXq31UYZAW6i2omeEFr4iulGaRX74nxh39J+GWR0dj0ZYD9sl/VRuqStHx5XK5HF6u9lGgli1KhFeSRIjjIr2rEg4ycNbGRlx5/wh0Gz4NGxsTm32jqHjq3KH0LperU8vh5WofVQikRZqm4bP/hFehVMLeEjBy/kZc3m0o+k5ejD2JvK6UYEttNvljhpdTzuXqsHJ4udpHNW1eSZyglCSIogJyhNdOwqrHyFm4uudwjF+2AYcYKZ8QbIlm3gifmjwmLjm8XK4OK4eXqx0lCKVICa6UAIu4VNvW2kMxbu77NG5Ue9e2/aHK0PaHb37ZVIaW/kXk8HK5OqwcXq52kzpqlDWbYVlfTla1YMngNWPddlzdayi6j5yOjU3ha8rcZd3i1Y3+mDscOrxcrg4rh5er3RTm09BEUAFg+gSKxncNm7sSl3brj37PLMHeuIyEEEr5IyXAbJSXw8vl6vRyeLnaTWGsV0oYRQaxHNe30bXqOXoWrrx/KMYt2YRGAishsRJCLCW1vKu8y+WSHF6udpG4lcGrXI4R0ZqIpaV7G3Fz33G45bFxWLqtGXnCK07UlT6xqaFeUm9Dl8vVYeXwcrWjCCLNZ1hKUCCYNGv8+FVbcHmvUeg6fAa2NJdQTMuI45jw0gcqk+oMG1rUmsvl6lRyeLnaRcF/Ktm0UBqgnCuVsSMB+s1YhYu7P4kB05fjAMGlQclpGiEhuPS5lBa/qxZclSCXy9V55PBytYsyeJVLMYrFIppT4IUDMbo9tZDwGolpa3dZF/lSuWjVigkhp+4dVXhxmYGrEuRyuTqPHF6uU6cWsJSylZagMMkTUaQJeePIusMv2d6IG/pOwtUPjsbz+5qtWzzKBcYpIC0JYvrml2afV36ZuVyuziiHl+vUKSNVHXiZ6UeJ/lRaQiM9r8krduKynsNx75OzsK0gUGk/sUZTj0QbE2YmrGWfRnG5XJ1RDi/XaVUGrpaxWuSPxm/tLZQxcNrzuPC+QRgyb71Nzis8lUuEFsGVlGIDWBimLGhl5nK5OqMcXq72U6XdSjja1BCj2/BZuKLHcExft9e+36V5DNWhQ5bqQ5XmfQV4qZeiw8vl6rxyeLnaRdnHKIUf+VNLtzbihofG4tbHJ2LFnlzlq8ll62GozhppmSCrtHlVvS6Hl8vVWeXwcrWTAnw09VMTbeqKHbii21D0Hj0P2wul8OFJgsvglTJejRdWqVCkuVyuziqHl+sk63Co1AuxiZ40hotb+2Kg/zNLcXnXwXhyzhocJNeKhJU8Ls2qoerDiJY6vFwuV0UOL9dJljyqABb9lFVDJG2F9qowpzywJVfC3YMm4/o+ozF73T40M3Ixielx6ftdKUGWItIg5Qq8QntXNUeXy9X55PBynbBaYyRUBxqcypo3nsYIZvxhn0EhfEo0dXpX29Yqul7XPfAkbu83ASt2NqPA5DHhlerryowvcMkDK1XMweVyuRxerhNWFSVVcGnwcWizUnVfBi9N9RQjKuatSrBAuOkryeOXbrRZ5B+duAjbmkuEVxnFqMD4MXNSHgGC6uSRdfRwuVydWw4v1wmrihOtCV7JkeGVRIgJJk2yK3hpPFefp+fgkq4DMGLuGhygYxUxPE7VZUN5qW3MgeVyuVrL4eU6YVXREsBVCy+bWFfgoulryaUktn0xgdTMwG35FHcNmoyrew3H9DW7bGb5gk3Cq3FdoW0sVDU6wFwuV1UOL9cJq4oVrQk4oWNFidBRF3eBSvPBp4RSKY2t3Som5/TJ/0Vb9uGmR0bhzoFTsHJfEQ0EWj6OmFZjuoLnVXsEl8vlkhxeHVR63LeGikBQa9ne2n3VFC9ZlaShdUpVffSw5GkZvDSeSx04aAzTxyXVrtXA+GMWvICrewzAoxPmY0cENCl+WmRaeWjKi3kyXetzP5ZzzX6vE/idXC7Xy1YOrw4qe+iHVSp7kNd7+Nfuq6Z4yaok1aIWXqruU6/C4EfJ+yKckrJ1h99eLKPvpIW4uvsTGLtwtVUZ5ulxxWmezhs9NMGPYYKefbSyYsd2rtp/gr+Ty+V62crh5TpBBVxl0vDjDF50u7gEPa/KyC55XvS4IsGL26v3NePeQRNwQ+/BWLTlQGjvUjuZZpJP5H2p6pG5largCl6Yy+Xq7HJ4dWi1BsupU9XDaak2LNXAi8DSNFD6GnKSpMhFKZoYd+7GPbjxoRG4p/9obGiMLCxi2oSeVzkhwAQrhgV4KS/Z6fh9XC7Xy10Orw4rPeSt0q2y/iJSlGPhQhav1lrBS/+4rQ4XqjbkqnobCkPqbahqw2YG7E6AJ+evwRU9BuKxCXOwNymhifuKCfFFz6tMzwsl9VpUV/swG8fRwJWdypFjuFyujiSHV4eVHuNVeNU+3DMz2Qp/1ATWrLYsj65aeMn4U13dVe1Hr6vlLAgfzRSvWTU25VP0fnouLrynHyYu22BeV54ASxJ6Z+qwETNWGhFeBJ7yUJa18AoHalG2WT0Tqma/y+XqWHJ4dVhlj/LwOK+uVc3cImuNyj4zUpXtYaTaUEtTV1nOWd5KKHBpkHIYqBy6vqeIGK72rhX7crhj4CRc02sElmxvsLBCIlClBFhE8KnNi0tuC1wy7ZP3RoqZRxaqJYNHprYxgVFm5xBOxOVydVA5vDqYsoe5wKTu5uHhX7ZOE+HBrv0CltqREqRJHkmco+WxYOE8DB85Ei+sX2/xra1KVXaCD9NZ1V04TBu1hpcGF5cMPDHTy7iOIsNjg9dBxpmxfg+u6jkMdw+ZhvWNDGeYeVjMwdq49AXlhGmYPjZvTL0Uua5po/R7KX9aHCv/FEWG5bkeMV6i8454zqKvy+XqkHJ4dTC1eCKClsZKETzyeTR7u9qdAhz48LdP6keEVrOBYvXqpfjU//4rfPjjn8D02XMNR+pkETEfzewu70koqLWqArzEzJA/oUjPKSkVCZMiQVhkGJdpAUQPdjPjkYvW4eL7BqDv1OXW/qXzs3z5w86SoCsRrCkBlsSEFAEWqSpRxyIck7hYOWbZzrEpKiJXgVdKaMURz1m/gMvl6pByeHUw1cJLHpbBhBa+giUsCAzCmTyjHNfzKBQO4TfXXo5XvuZVuO6mW1AgKPTY1xyD8tYEB5vVnaEGmIpV1Rpe5nkRiCmhFZUKzIcAIp5sMl7u35SL0XvcXFzefRDGLdtiXeTDEZW/5WAh8gbjKGfel2bsEAz37NmBeXNnY+KEcXhmyiRs3rLZPK48PcQmQi6f8lx1HmJcOC2Xy9UB5fDqgGoLLwGoZawVfwosZQIFZXkyERbMn4WPffwv8bnP/w3WbNhkz3urNqzAK+CEEJT3JUJVFNZlFXgpUGsVeFk1Ia1IL4++mOWlKaGe39eM2/uPw82PjcHCrQcsLK6g1cZyKTZBVTIrmHeYEmRz583AT3/6I/zlhz6IPz/7A/jQX5yNr/7ff0aX+3ti+779yPH88vy9iylRSQCXEp2Xy+XqiHJ4dUAJKppH0D7eyH9t4aVqQli1YYxCvgE33nQd3vnOt+OBPg8ahgqqxmN8eTBqNhKWBCa1nR0GL9uuD6+U4KK/RYCFryErP4Fq9vqduKbXEHR9chrWNRaQZ5jgZh4b06iSM2X6OMmhEDUwrxw2rF2Jf/naP+IP3vJ6nPejczB0yCDcddfv8YEPnI0/+MO34sG+fZkKaOLvXahUM5bVy8PlcnVIObw6oAxequozJIQqQ0MVARKnxElSQEowCBnPLZ6P//3pv8L3/uN72Lv/oAFIwBLoNAdhSi5FTKPOEpqn0KRIFSsrgoXXwEvIJHwSeV7MKVIHCuVJU6/C4bOX4ZIuA9D3maXYqXkOGaaztXRMU1IqelyF4iGCSN07iujd8z685tVn4Xvf+3/Ysnm9DmO9Eu/r0g2vfPWr8V8/Pg+NhJaqJe3Ly4JXDWhdLlfHksPrjJAewsfyIJZnJADIy+EDvKyWJsFLnlcAVxwXEEXNhIvakxpx003X4rWvfTU++am/wte//g2cc8656NXrQWzYsAX5XIxikZ5TRG+mUAzd1Nuei3lflXXJdgtkqirk8biegSui7aF71GXYZFx5/3BMWrENDRYeEGuel50xAaaOHnGO4MsRnI14bskcDB3cF+vWrSB4Czx3+WvArNlz8a7/9V78n6/9Czbv2ctcCF1VG2pmei5dLlfHlMPrjJCIUPF6jqrQZiQIqLquQFMndaXUT/UyTJI8H+qhlWnVqkX467/+GM466yx8+m8+j3/796/jIx/+MN76lrfinP8+F+vWbkISE4T0juJYVYEhp9a0qt3imjYILPOeVG2ojh7W5Z4eEXetPVDEjY+Mxi39JmLRtgarMowEK/O4BC9DrXXzF2iLPN9CrCHM2e9PMEU6/7D91FNP461//G78y7e/h50NhwxeOt8oUi9FHdHlcnVEObzOCL1EeKlnngGM/g9BYm1d9LwMXmmBcfTwL+ORR3riDW94Df72776AmXPno7E5h0mTJuFvCLI3vfEP0fuBRwgA0OuK6XVlnTWOFV5MQ89P55GlUvXgjBd24JoHRqDLyFl4oSFGjnFjxhNcLanWyppZQx5fgeAqGNgE3ZQQK+YbcLBhL7Zu3YRFCxbi3HN/gre+/Z247Z4uBke1exUjeYxMxzxcLlfHlMPrjFB4rL+4hAg9/BOCI/Tusyo7hqqbujpBqDovYCTGpZf+yryum2+9xSbLzRXl7STo0qUHXvOaN+I73/4vNDfLg5Eno/Qh/7bnUt3iGo8ZvD91bRc+NUYsHFX+07BZK3FJ14F4fOpS7GFWzariqwGc4BVwy/NPInpeRRvfldA0oFoDkx97/CF87KMfxp+++0/x2te8Af91znnYsmuvwauQpgQe0xR53kzvcrk6phxeHUoBLoKHQJOkQkEWShjQ69KM7WnahELxAM790ffxxj94AwYPG4YiI+UJKUFk5KgxePNb3o6/++KX0UR4qdNeMWb6kvlwtCquWqtyfJpVU+o81O6mDhTcs6OQoAc9LrV3jVu2yWba0LgswU1c5ILHqqQXAAncIr2viF5UGkfWVhcTZjNnPYvf33E7Lr34UnzoQx/FRz/2SQzjOcvryhO+Ed3FxExDAo50ri6X60yWw6tDSQ/qrNOGehwKCNomDtT+lOToxTQSXo2EwkH88Nz/xOvf+Fo83r8/cRGq3KQBg4fhdW98C772b/8PhYheV0zPSW1eypv7w88aVTYVnoFLceXtyftSz78c4yzd0YCbHxuHGx8dixV7cuETKJVzNXhxW+eh8WSq4kxTmuotuT8qFJDLH6J3qCHNihX0+KNP4HWv+wN8+Z//hd7XbuviH8XyIAUuwdblcnVEObw6qPi8D0tSIXhi6n5Or6vcRFAcIihyuPKaS3DWK87ChZdegoacqhLpuRQjXHnt9XjV696Ay6++FsWkDHLLPLngEwmEVXiYWuAlC90uBELNi6ixZkXCq5E7J6/Yhsu7D8M9g5/BTrpiquaLUp1XpdqQP8IxKu12sdrn6LXxnMJ0GcyzHPEcc4RaANPaFzbg4x//K7z37A9h7qLFlk+hWLT2MgG75eRcLleHksErezt3dQzZtdR/0kBemNqP1OqUpDmC6BCh0sCwIp6dNhHvP/s9eMc7/xi/vfU2PDtzJu64+x68413vxgf+4kOYPG26jQ3La7Z3eUjMRaUk/KxRZTPsC/E0titmOo0PyxFeu8mfgTNW4ZKuQzFw2vM4QPboq8kGL+Wt82V6nal6HKrTRrHYRK8tj3yuGYsXLsC06VOwe+8O/g6ak5Fx0jI2rN+Mz3/+i3jPB87GnAWLLI9cnr9nrPkUVVlZOTlXp1L2TKv3XDtSuOvMUgu8XB1Hdj0FLuumThyoN5/mF0ybaU18qMvyiOImDBk6AP/wlX/EW//4nXjTH77NwPUP//RPGDB4MJoL6qqeVGZrV4/Aw7AVVAnU3uA3EV4MM8+LYMrzXNYfitFjlOYzHIZZ6w6imfsLifIvMB7Pk9shtdKoV6Q6XOS5LBi8fvDf38cb3vga3H3vneZ5ZZo8cSr+5E/eg0/+9Wew8oW1Fpa1ecl787LdOXU0QHmZ6BjyasMOKLs55XHRs1G1m336pCRPJE9ICAhq+2rieqgq3LB5A54aOxZDn3wSY8aPx6ZtW4mQAAHBpxAVzbR+ZOlhoWMRQDx8zKj6jIkApqMs2nIINz8+Hjc+PBov7C9Wqgw107xGeYX+hRm8NLhZk/EWI52nBlTHGDliGN73/v+F97zvz3DPfXdjwYL5GDFkOL76lf+LV73ydbj6NzegWV3k6ZEVI3pmPPdwPkSuP6xcrg4nh1cHlc3rx4e2HuDyvlSFZuOnrPqwUIGZZs1Q1drhEkSKseASmwlk2fRQtTCormvJ/fL4uKou+kka5jSUlzV5xXZc0XMYeo+dg53qBMLYiVUZhimsBK/w3TBNFBV8PAFI00Sl5n0dQt9+j+Lv/+FLeP/Z78fZZ5+ND77vA/jYRz6OCy+6BGs2bLF2tqKOKS9ReVVgmpnL5eo4cnh1VOlZbc9rAUfeh+GBxgc7PRm1Lmk7VK2p2k5d6+WhaV2w06wX2s4sgECqDwKFMf/KLo0xU1WjjkJHC8NmrcaFXQdgxLzVOMhoqlZUnpq2ymbFoAVkCV/CmXpL6twEXJ1LRC8shxfWPo+hw4fgsUcfxaD+AzFj+gzsP9BgxynymCEf+81Cev6THF4uV8fSCcPLHwovf+kKCQwBDtriT0JDErxk6paerWfbmWeW7QtYOPyah61wlEr2Bq9iQuBwfcvBGD2enI6rHnwS0zfsDV3k6aHJk7MxYIyrLu7Z+dm4L5q1W5WLPJ6M6/TXBLLsPLKFZF4X01i+jGXwMmC7XC9NKt/+XHv5qwVe2aUKSz0VZG0uoF1UPaBq9lVWda3bxA4BhwW6XrKyv+NLsTaqFxzuz1C9pk+ohCpGLfn457qAYR+utHCFySzp4bIdYafiqROGZqNXe9eK7Y24vudw3DFoCpbvLxi8YkJGn/3XPITq9W4lTvnrH/PS8TSbhjwvaGYQnkvK9Vjf9+J2onatoibg1XgyeXIBa4Jg6Blp+NLZ0FwdUS1XNit6FtDmels4f7Ta37LRWiw34dmWWU1cC7fSyWWNmHcAXTW8TQzXKdJZ2V9ai+xyWSUOH1qwh5dCQ3i4cHyQ8Z9dRrvYlQwohWpfyImyRPqRhYVc3F6iZTdHy03yYmFcHIOqkBKcQtWcIBEq8WTaF5YhU1ntdaxRS5B+qOqRoGH+TYw+dflWXHJnP/R5ehE25ktoZIwo1fRPhI+WmjeR//QzlKJK+cvOg+emb5AZvNICoriIEtOWEsaM6L0JgEwqcGkW+1A+ec78vbzcdVTTNaapzNvjJYSFMqP1oLa3R1jN/lW3A5xUXrIy08YqZUlx7bt23JKFnzqm4gWFcNepFuGlP3r4c+vyhDVdjPDWa92sKyHZpc3WFbts7Sd6O1f7QrBqAZCyi5tZlovbqbPKzdZiusmrZjchwwMkeP30kqIOHfRq1ANRnTpqzeJk168SP7zcKG9d84qHpnYxeW6VasdiWsb+qIxBkxfj6i5D8NS8zdjDZDl6VUksz0mT59KjIsB0PuHcK/npuMGX4jHCeagKUR041I0+1TiuiGljHUueXvD21AFEbXUGYv5OAYJZ3m4dx8KzRt519tXwrNzoxcVese1FJiBHbJOFlFXLcsvui3DvVNJm+VoZ4vFUxu1fyCsMBcly0D2lPa7TpQAvu1jhguhCh4eRxtnoW0oFXpqyjdVpTtIwBx7fdAvWE0xvz/pUuwqNYqkwMdxMjfV6B9aSb80t4cGyeG2Xx2IvNY3iHU+aeutHs9pjHE+atvtqrV7e9cIyCw9weUAyu8VbTP90e2s8lT3sLX7wbHiFaVpWLcu/xQinat68voIf13XzylQdGLFs5FhWtudS3Nn3adz88FjMWX/Aqgw1diyJ8gav6hefdUYqKzonHVe/R2XZsh3W7fMp6lFI6HGD/yuvTSrHjGVm1Z8ql9qjZQBw9jtkYW0t299yvJrttssXs9q8TnWaeutHs9pjHE+a2uXR7FjSKKzetTiaKZ2GVOirBXbdBRrbpxeciM8pGsuIJn2OWBa01EdKi3zRKbLM6DkmU5ssnXdrow0AYjlUOy/TqDeslXW9LNmcoAV6/kXreRvpGahhGXr+GdwcXqdbodpQDwCuBAsQKltjfYEXKUKBF7BJDyMWEn1/6VCxSICpyzULkR5ENtsB3z+4P+YDI8r+8aJqFA8vN9cZru3MeIy6y2Oxl5pG8Y4nTb31o1ntMY4nTdt9tVYv7zphRW2b8abl9QhGmBxm6v6gODLd3JV0WV41eYb18KhpSdsmb+saXzF1msjRNI/H0l1NuPL+IbhjyBQs299kX1K2hwofDOrdWGD5UT722NG52DF0PJWjimXnVjlXIS506lCZC9WF8tP0ILJHm50PSzLjJ4yv363F9CCzh9mRrXq8itX+HWqXL2b2d6tZb7u/nh1vmnrrR7PaYxxPmtrl0ewY0tS7Bi9mykevWQKR4KN5PO2FTc8tPmv0mkK/Hjk+o/IMzzG8Kc4jT289oseUmcqKxiSqHPE/TWVL8GI8gsm8fL7EJ9EhPuPCuEg9JzXrjMFLVdg8nkKrCjm5Tq0MXtkbc2b8YW/EusmLjHCIZNKDaC/fNlZs2Ykl6zbhkN5gGGYPArU/CF56g7Hqm8xUMFRA+OCrbGcWCk3rZe3+embxZC81jeK/hDSylviV9Xpx2lrtMbL1evFqrVUaLWv2HTFe2zT1wip/d3uzrGsBQtZVvXK97Ia28KrV5mntSrzGZpV1e3gIYpX0WT7NfBqozIxZ/AIu6d4f94+fjfWFxOAVHlgxTfDiyw0Lj/w7m1LKjsXzYrkKb9UqO1xXmFUPhv3qpBHKWyV+ze8W9gUP0DqFnKAd9rflsl68WmuJf4rTyFriV9brxWlrtcfI1uvFq7VWaSrLevFq7XjSHIup3BItLWVP5UM1QAkhpdebPMM379uP5Rs3Y2vDITTyOdascqYyo3LC55vaTs27EvSYRq/uApO9vuu5RnDpKwyluJHPxGbs3r0ZM6ZPxdLly9CYL9jMM3l9rsdqnvTsZOHmsjXIXKdK1tuwLbxYDuwCm5dF284Xi6W7mvHU/HW4p984PDRyCnbq+0/cl9NF5gNGl0tprPaXS13IzLSvNkzrilfPatO1tXrxZW2PV2v14st0TvXiy+rFlx0tjfbVSyOrF1/2UtJkf0Nb1q4fIaw2r9q6/dp13aStl233v7iF+HyY8Mi6/YPfHr4YdpDn8dDY6bjqgUEYtmgVdjOsyfaHCkJ5VUoncCmt0mX5hUZxlUf9Ptky/H4qZ1pyEeLaMqQN6Sv7+UNv1LXneyym4+h42THrxZHVxmtr9eLLjisNrV58Wb34sqOlyf5e9axefNlxpaHViy871nhHM6sQ5kXWcIswPlHViJF5ZILVnNWbcf+gsXhk9HTMXrsH2/jA0jNLL9166QpTiHGrrKYPGnNUvgJskVCLFaZ24EivYc2YOnUM/r9PfBQ/+elPsXPvvgAveWd8/qnWyV78rVTqr+U61TrL/tT8w4c2AhkvBMNUDaOPBS7ZG2PIop24ddB8XNx9En7d5WncN3w6djKhwCbA1T4wai27jG4nbtltcaxWmza72TOr3Sc7UrojWW0e2XpWBrRUJYrKz+amBHf3fxq3PD4as7ftbykviqdjZfGztJkpv9pzqndeCpOyfW3Tu505pmuWlYOjWe01zkxlre22ytgB2oyNzfhNn4n41T1P4bqHZ+KhSeswk2GbcmVre1V8g1daCM0kfP6FlypVv2tmGb5WJYRXLHgV8PTTg/CHb30jvvGtb2Lbrt304lRzoHTy11gWDWCWK811qlWBV/jDp0kE9RLLJSnW7m3CU4u34sYB83F+j+k4r/tsnHf/XFzw4Gz8ZuAsPLliO8av2oEpK7dj2vPbMGPlDsx4fhemM2z6aoat3oFpXG+1rDWF1bO28WqtXnxZvbiZ1YufWb34snpxM6sXX1Yvbmb14svqxc2sJp7+pjOef4m2eievg64HLVu2WZ/2/E5MW1nZ5rXT9nSFreKyjVlcs0r8LB9uz1i9G1O5TzaNx32GNvmF3RgwZyOufHA8rnl8CgYt3IwJLBdTV2/BLC5nrtrG46jsyHbiWeWbGfOdyaVMZcrKFW3a87tbW+W8ns2M28+uahuH6dr+bV/Mav72ZvXiyNrGq7V68WX14mZWL35m9eLL6sXNrF58Wb24mdWLL6sXN7N68TOrF19WL+4x2LMsM2Ys49NW8vrLVN4ZNmPVVpbLrZjCeE+z/PWavg0/7zMLP+k1Cz99gM+vLpNw6SPPoveU5zFr3V7szoXpzzSOEPKyrK1MVe3B4pI8M4FNr105TJgwFO9699vxzW9/C1t37mTcEgqqWixl8Kq8SvFZ6jr1smrDNC3T6DTTDS7S1mzdiUdHPYtLuozAj++ZSGgtwjkPLMV/PbgY5/SZix/2fgbndHkK5945CBfcPQTn3z4IP7tjGH72+xG44M5hOP+uoTSGc/1/7hp+/HZnnbBjseNJ93JNw/g/PQ47/0Xsgjt5rX7PpUzbuna2XROe7atJd/6dT/LajuCS8e56Ej9lnBA+DD+5c7DZj+8ehh/xbfdH3Sbix/c/i5/cPwXn3TMCP717APN6guXkCZx/B9d/z/JzB+33LC/M52fMM5Sh6rGz30d/h5ZzqBw/O+75d9Fa9jPc9oftkH5YSz7HanWvxdHseNLITtexXsZp9PeuXr9jtWFWbi74/RArRz/js+hnLFsX3NmX5aw/zrlnKM5huftBn3n4z958Zj08H//dawZ+2HMKfnTvSFz9wCiMm7cS+3P001TjJO9LHTUIHlUbWvsrPSsNz0BZ8GrGxIlDCK+3EV7foOe104Al3KmnotYZMZi8Adcp11nmcaXqWhzaGdTFefehQ5ixfA16j56HKx58Fud11UVfSIA9h+/fPwe/6DsXdz+zBt0mL+NbzGI8PGkRHp64BI9y+5HJz+HhKUuCTV6Ch6Ysq7GlL8kenlw//MXseNK9XNMo/nHZJP79j2J2nXh9HtF14/ajk3jtDrOljFc15fsIr/HDDJdp/SGmf2jiIjw0eTH6TF6E3rQHnlmJe8Ytx6WPT8MFvSbgtlFL0Gsi0zHeoxMW4THaoxMW8NgLeFyuT1ps56BzCsfSUts8VytDwVr9DpV9tm5lsE1Y23iV8z9Wq3ctjmbHk0Z2uo71ck/zUiyUxeeszAXj82cyy9PkeSwLc9BrynzcwzjXj1mF8x9fgu/3mo9zH+bz6/4ZfBGfgmsHzGT8ZVi0aQ8aivKuaASXmk00/EM9VdURRG1ZCs/gNWHCILzz3W/Ft7/zLezYvYOYKjNObJ2CAq8q8HJ2nRYRXqn1LLTpePhXlxutaX0OxSk2NMSYuHI37h71HH794Ay+SU/HOfdOwq2jFmNxc4o1cQmb4wQ7owi7i/rgYAk7mS6z3dHhVrv/aHaiaXbV2V/PjifNrto0tHpx2lptGlm9OG1N51Ob5qXYHi15bWxbyyyvbJ1Li1MM4XsqSx1T59qybGOWh6ySXwhLsCOKsYN57khSbEnKmLWzCTcOnooLew3HrB1NLCcl7Min2Mv4wRJajD06j+xc2hrDd7ZYNXwX01Z/B/2OyoO/g1m2XvndT8DaXo8j2YmmOa6ySqsXp63VXrNjTkOrPVa9OG3teNLIatO8FFOHMaXfzjK0nc+f7XHE7SJ2JgWWvwSrojKGrWrAJY/PwQ+7TOZL1HRc028eHpy6FjO35LAxBxxIYL0P9Qy08Vy08JWDMIrMphkjnGAfb23EhIkD8e53vQ3f+tY3sWPXdoYRcCX1VmwDL9dpUaXaUGNidKF4EQixNKHrTNMgPvUYW9eUWBtG97FLcPWDY3HfiCksICn28yIfKhVQ1FsL82FZYEhmoRfYkawar7XVi5tZvfiyenEzqxc/s3rxZfXiZlYvvqxe3MzqxZfVi5vZscY7kh1Luto42bqu4dEsi59ZCFdvQ3rtXFdPLr2nztiwH9c9Nga/fWI01hGM1mrAQqI4YQ4EljP+U7uBjc1ieL3861m9eNnfqtbaxjlWO9Z82sartXrxZfXiZlYvfmb14svqxc2sXnxZvbiZ1Ysvqxc3s3rxM6sXX3as8Y5kKi8qR+ojKAs9VhOGaz7NEvaRJtPW7sEND4/FdQ8+jSemPo8Fmw8RskADD6jP9NhQEE22kMjrEoRUbagSGcYH2lcJ1KHjKPAKA/RDb1iBK7R7uU6HqvAStLQktEp8Sy7xrUYemQaOqtuz5qPTbAkznt+IsbPn8423gJwG8pUJr7iZF5mPFALQpgyy4qVtLi2MFzTb53bSzaavaVnXa0NAQ+i4Ln866wWl3qSqBhFuwv7s+thNx/UQlu3L8gimPO0fb1g9KmSpZmLhC4wGdqqaReOs9vN0Rs1bj8vvH4K+M5dhKw8RJuNVdYweMDLF1wNDeSh/HTv8y84nmM5bpoeEzl/nXj3/YNXfv9bs9alOuNuZb7ruYcBFmG0jTCIdqv+051AxwqqtuzBxzjIs27gXBwmtZhYHQY85WPd6+55cqmo/VR1mtU/6pzJO0/gtlm2U9jNFAyZl8Prmt7Fjxy4rsdZNXumYN0+M52ArrtOglnFeNr+cfF/+l5XVDqZRoGFTjwG76HxMoKmQR8HGQfDC82GiOuOwV6aYbifXsr98vX0y7avuDzeerousAgFdI2t81qsI3zQrN6uAZQ8Ek134qtUcQyDQQyE0UOu66y2VAFIXY/tCM9f5INDg0K301B8etwC/vrsfxq3cjr3MQeHy7LMHTnhHFgRDeNnufpU0Hk3nrM3Kus2lyOME/y5Y9Xdu/bu7dW5TOWLp4T/YV7WbC/LLdAcRNC37QnmuVhVy24wRzbiXL+6aXaNcznF7DwP3YTLh9ad/8g5851vfw/Ztey2+Bjtr8LzWA7hoWrhOuQxehym7iFrYFa0GhWKh61MpCNUrbuF2FSvhrffJKhfX7Tgsg0nrv2nwTMJ+87po2ZyDts6Hv+Z9M29L3X418S6XNj+gwFDJP1yvyrGUp6zlOLrWuuLhPdeqVPTSQmjom19JQniVIpsuJ8eYz+9pwt2DJuO6B0Ziyc5mqzLULBp6sISpewQ/QSicazaZr51vqvMljrTkoW1eRuYdJonW27VApXOrtcp5u3ViUzmtKntuZdJ0YllZPtzaiqBL+GoV6z5pZhQNr9+PCeMH4k/e/XZ86xvfxdYtuyw3fR0hIryUC+8gHbh+lq6TrrPaXmSTguw6ZABqCWqxbGDeYaoE1qYN0nptgXE7Pmv7Vw9/1ww8AWYBXnqrbLkEgoQBoOLBCBQZ2CxfqXKNlIfF13Ylf1otvLQus+pi3uSa5b3Ic1D14Ox1u3Bdr6HoMWIG1jckNmhUnz6xYxJdauUS/LJjhfMkCPkWq9/DzovHltm0P5U4IZ7Dyq2etZY9f7i0csS1rBS3TlNNW/ussjJY8byStBlpIng10vMajHe98234j+9+H7t37WPZhM3Nmc0sZDnoRzUr1ylUfXhV1HafioAuddvrk8U7Wl6uU6fq311LPeDl1ehhr4d+2GPDIcxzIcAsjvbpBaNyA8vNOcrl0y7d/Exp419Cu1cFXpplING0PGWb2WDUvFW45J6+GDJtBXYVQzuDeVgEVCWHluNaQzkfEvLcwn4BS+caHjV6SWJKW6qa08uY61hUW05eaplRfN0f4SviOb5fqc0rj0njh5rn9Z//8X3s3XPQyqcmmZYZvCwdQ72InhbVrzY8inRd9ICx9ZdYKFynStn10ANfqJC9uNRBp+V15CXAK8zYrrXgTWmGAsFJPQl3FhL0HjUdv7l/EKYs34xDzF5nkyYElvXqIuwMZDpf3fIBqG3P2aAlWHFdp2azyDu8XMeolnJSU1xC+als1FHtPt1LCcurjf9KwtyGC+Y/iw+8/0/x8Y9/HCNGPIUNmzaHiaUNXuGpaOZl9LToJcMrU3aBtPSL1b4Kf35hSFVxgkCChQvmoHu3LujatRvuva8b7r73PtzT5V7cee8d6NGrB1atXl1zDfUjW6kv7RFQNBEq/SKuZz20Yuu0oepEdZNftz+Pm3qPwO19x2Dpjgbe8kxH+ujjk/qsvyGQx9GDREDTDAaqymxuOoDRY0aiZ6+eWL9pI48nSOpIoXwxeuXh4+XNdWyqlu9QZo613IRoKnN8uVI5T1mKyzns378Dl1z8K/zRO96GP/mTP8WvLrwQew/stxerbJYNL5unT8cNL1c76rD7QwHyoOTVCBAp7rrjJrzqVa/Cu971J/jMpz+Pv/705/Cpz34GH/74x/A3f/e3GDlqNG/OakYvdtMJjfK2QkcNwxfTpIjpdeXTPApcb2IWCzbsx5VdBuB+el8bm7mPaeXhlWKmjQU8nae8KaK20hFD5z1rzrP40F+ejc/wHJevXGG/kVUV6qEgk4PHtFl6l+tUS18GF7z0cmX3Fdd37tiGp8eORp8+D2L8xAk41NQYqrkV3+zo95Hr5MnhdSaq5v6ovlGqCk7wkudVxu9uuhZnnXUWfnTueVi3fgt27jmAXfv2Y/vu3di8fQcONecQx0SQdfN98VvuSPASgIrynBiyj3fw4GeX4apuAzF4xnLs5SmZr5Uwvn2yn0sCU1AKU++E9q9i1Ihrr7vCzvfyKy5HvqBhpiGenRvTlAVA87xCmMt1qhXgxTJqw0y0ZNnXRL4V6Z7IF/U9L90P2tK9WNnpOuVyeJ0B0v1QvSe0VvU+wj79y+AVPJnf3fQbvPlNr8PNN96iaJZClYpaKqZ95yoDgoUrj7ZS7GC6NTNoZT0GBR51AtFXslU9uLlYxr1DpuDaB4bhmVVbreeh8ATCq1wk+JJwLN3scazG8NB5ZMPG1firT30c73///8LEyZNCHOsyz3OSd8gnggGQ6QTM0FaWnZvLdWoU4BUAVlKHp4R3WRIhifNWdjWWMnwgtXoPuU6fHF5ngHRLVG+LcJtksmo1Le2n8KQ3wxg3Xn8FXv/qV+DG397E7aoUI+L9mHBFXxOQF6O0emOsHiOTQoJV4aXYBIhhSQCLEPHNVB//W7qvGTc9/jRu6TsOy3Y2WBuYqgdJKvO8ElUd8ka3r9QmBR5fA6ZT9OrVDa9//Wvwgx/8N/bs2WttZHooCLAtXZ3N4+IxW4HL4eU6EWXlu77sZYlltZzyZjHvX223RUTFRiu/Mcu1ptGLeDPpDpGspuDIWbpOohxeZ4Ba32Jaqz60bYs/QhzdbEJGgpsJrzcTCBdfdAkefrgvfnrBL/GLCy/BY08MxJ69BwkOYkNvkropmSJDwpEkhLRUG1pHDYFEnpdmlCvZQOQJq7bgigeGo/uTM7G9WZ07mKd6YmmwJ5d6e9UsHBHfXPURwHJaxMEDu/HVf/oy3vwHb+R5PhQOVpFAq4ZwG13GYx3udTm8XCeio5ehMNRE8OKLk170GNW+eZjkWI718pWiyDdBm2GD8b06+/TK4XUGKICpIrtBqjecbfFH2M9wqzYs49YbrrY2pLf94dvw/vf/Bf7yI5/E2R/6KP7o3X+G7/3HOVi+YjVhohs0eDYCxZFv45C/qvsSelk2HxxNb6XqMZjnm+deJn582nO4qNtgDJq2wibhledkcdKIefNBQPBoPFcaNZvpafDkkEF459vfhi/93RexadMmNOfyWLx0BRY+twINuQIKTB+V+JZbmRXE4eU6Hqn8hnukVrXl6PC9wdvXTSKviwGMVla55z0WyiJLNcOq9x8lwtmroOtUy+F1BqjVbWXwqoZo00JaoCaoxLj3rtvwpje9CX9+9ofQ5b77sW//Iax+YT2+8c3v4jWvfRN+d9tdaGwWVJQ+eF8h1/CzViFnekC8YQUveU8t8OLdm+ex1zRGuGfkDFzRc7h9Zdk6auhm511P5NGDEoQ0lRQhlOS5s4BD+3bi/B+dize8+rX4/e132LHmzp2HD3/04/jc3/49NmzbaTN/Fxg30bRW+t1awevwc3W56qlavmuVhR6pLFX2Z9HMeK+wLKtewKoILSgsJQEt5Oc61XJ4dRAFeNEIl1KUs3FevXv3woQJk9BwUN0pKN5TAwcMJbzegq/9+3ex+2COOKi51VrAwHwq2UkKVeWgTcZr1SgyVRkGjy1Hm7NlL377+Fjc8MhorDuoOeOZjvSSt6WWsjCprwZ0aqJTVW3GmDdtCj7xl3+JP3/fB7F44RKGAbNmTccHP3g2/up/fx7rtghesE/uFJMm5qUuyzXnWJFX17hOr2puDle7yeHVQWQPcL31qQ2q2Iw40giroKiYoJij11OIMe7pCXjTH7wDf/Olr2LHwSaDj3AQACD/qjUYJHXPCPMRElgCUqUhW1WOgou+jzRx5TZc8cAIdBkxDXuZqfV55PnYNE/M22bM4NGiJIdSSk+q2IS7br0Rr33Vq/Hzn/4cueZwvrNnT8PHPvoxfPozX8Sm7fvs/Ao8biFuJgyZax14uVyuzieHVwdQ1fMQvAiZmCCwqg1CJEpRyCeIizGf+2WMGfM0/uDNb8fn//6fsG1/g3lewkGQoHA4GNTD0HwngkNVgdZOZvDSRwCBXcUyBkxfiUu7DcHwuS9Y543whVqmkodmHlgYlKxZ6Mtcrlu1Al/+4hfwtje/BVOnPGvHkebNm4mzP/hBfPrTf4ct2w8YvIo6jvVOjOy4Fdwqusvl6qRyeJ2JavPcDvCSCTyEBT2bGdOfwYAB/bF+/SYLFryksWPH0vN6K/7+K18zeAkDAV5Mf0SvJuQtjys0UMuTUh9DVQUCGxojdB0+C5d3G4a5m/ZbNWJMUKqHodqodH5Kq2mkDKoMe/yRh/DKs87C2e9/P7p374EhQwZh2PCBuP32m/Dud78b73vvh/HQI0OwddcBO7+Y4LK55hxeLpeLcnidiap5bmdeV7WhWA/2BDf89jd45StfiYsuvgS5Zo2nAvK5Ztx00w145atfix+d/3PsPtRciU24tKSX1YOXvC4BSNWBZeuAoWpA5bxk2yHc/MhE3NZvCp7fW7Cw1KoWI6teNHgRWPK8NBdiMd+MHt274YNnn41PfOIT+OxnP4vPfe7T+JvP/zU++tG/wJve8Ea84XVvw5e/8k08O3MB8+LxCMIkKRoQ65+jy+XqTHJ4nYlq89xuqTaUlyNgpDGWPrcIn/qrv8Lb3/5HuOyyK9GvXz9cfdUVeMc73oaz/+IvMOrp8cjRjbKOFUoqawFYZbtizJSmHoZqs1I1XhlF9TxkanUFmbh0Gy7rOgIPT1iG7XkNW2aegoy8s0q1ofpjqdov19xIeOWxZes2LFi4CEuWLMb8BfMwe+50PLd0AR595AG87z3vwUc+8ld4evwM7NrL+HEpDHBWD0c7R5fr1Ev3Vcu95XrZyeF1JqrO/RRusgCZclpAsZjD1GefxQ9+cC7e+94P4A/f/Ba8771/hu9+99sY/uQI7G9stCo/fSRdnpSBquZGte2KZfBKCJ8oLdskvAX1ACSmDnJX/2efx0V3D8bI+VtwgAmUp3olmk/HuKEbCMMIs6hYRCICHiYhFFi8aDY++fGP4Utf+oqBSzFj7tJsBvq6rbw/l8vlcnidiaoypo24Q9Vzcd6q5qT9Bw5i+fKVWLRgIVatWon9+3YjiogdekY5ejMaR2XVhlmmNYuWwxBe8ug0Rkugy5Vi5AkujRLb2hzh3iHT8ZteYzB7w6HQWUMAtTTKWW1j+pkiJrzKmmWD8Crq2DwHtWVF6n1YLqBQbEDDwV1Y+8IqrF2zwcah5aIUOQKvUAjT8ciLc7lcLofXGSch5UgP8ACMJCpY9VwUqQKvtfRNrWKRoCAI8gQJMUOsyPM6HF4tavG8iojp+QheGiGm3JdvP4iruw3F3QOfxQsHQjVigccQvKxHItNZT0OaYKUpdTSwuRBpzFdMeMkIxlKRQGvioUL7nJTQySomYZ7DRJ9bpym9V+W4XC6H1xmno8FL+4ghQcOq7QgzBslZMSM8bHomeTwMULWhfKPWoGq1CFImBiGCLy4SXgmamLdANW3ldlx+zyA8On4xtubUgaNE4BQNUOZ9qR3Oqg5hY72s/UveHpf2dWSF8WjquWitZfLarJ1M+8DzJFwtDWMQXO55uVwuyeF1xklYqT7AtZVZVcKB4CUg1O7TGt0Zg4Y8rpCT7RcpWiJqpS0k1E2+iCiJwocnGbIvLeOJCYtxTbcRGLtwA/ZzO6/qRYNnlpnyCXm1ZM81rWfbLevMVzOE2LISpjXbxyzc43K5XJkcXmeUMhAEGEjZgz97rNsD3h7yFY9Hm2EXJQIEeMm0T5iT3xMyyWIq/+C5VROrE0bRusgX6AXJ69rYEOOOR8bh5gfHYv7G/Qa0PD0z+/aRsrC0yiNstGTFsNBrUBYOq30WQx0yKvCqxqBChGAul6vTy+F1Ril7nLc80us/021DP4QmrmU7jRJMWwmwfS1rtVL+h8NLnz9Rm1eeZBKoFm0+hOu7D0fXgc9izf4Ccsw3pteVtWsFKQ+tt4ZXsOrRq/u0FtLq7ANcqSxSNaLL5erEcni5DpNwYd5YDWC0buO8CCZ97uQAQ0bNW41rug3GExOWYFcENBFcmnU+tK0xjxbYhHyq3KmuuVwu1/HI4eVqLXIlwCsjTwCNVUESTPpqrKbQ3REDD42dg6u6DcSYeWusi3yBnpnGgunz6S3gshWHl8vlOrlyeLlaq8KVDC8tmCnT81J3dXpUjQx8fl8B9w6aghseHIEFm/aG9q5SEZr5PfR0VBr9qHpwLXm5XC7XCcrh5TqiBJsW4KgdywYWl83Lmr5mJ67vPQpdBk/BtoLawFL7aKS+uSWAVUHl8HK5XCdfDi/XEdUKXqoKjAmouGxTQD05fw0u6zoMj01ciAbuzmnGjTRHcBVoseEqyOHlcrlOvhxerhq1wlXrLXlemtaJnte2AtB7/CJccf9IPL1kY6gyLBcQl/PB89JMGkwYkCW1gVfLisvlch2fHF6uGokqVeToZwtnSuGDlkUGrN5fxK39JuCa3qOwZGfexnxF9LiSitel2TP06ZS68GqVqcvlch2fHF6uGokqreHVMs6Kaxq7pZ6GM9fsxjUPjMQdA6dgPcmVY4xEcx/atFChU0drz0s/3fNyuVwnTw4vV41ElSpyDDg2wDhIfQgPcXPE7FW4rOsg9H1mKbZH+gQK6HGFDh0aoJyQXK3hFRTWFVrN0+VyuY5HDi9XjY4ML/0UpPZEZTw0Zg4uvbc/Ji7biv2MqtnlNXluKZF3Ri9MRu+rNifJ4eVyuU6WHF6uGgV4VSv4tAzr8roEr3UHmnH7o6Nxc5/R9vl/dZvX7PSCVimhqb2rTC+M0HN4uVyuUyWHl6u1SJgqsgiZyjyIAlSONnPVVlx17xN4YORcbDiU4hB3FxnNPmGSahYO9TSMbQLfMLMi1Wrh8HK5XCcuh5ertUgYQaYFNJoenhuqGjzI5fDpy3D5Xf0w+NlV2Fksh56G8rJkLfAqIrGByiGX1guHl8vlOnE5vFytZYTRD4FIcxSGtitVGW5tjtFr5HRc13MEnlm2AwdSoECfLJWXxbiqMrSvJ2uQsk0RVaFWi7TdNszlcrleuhxertYytghXCcqEkeClr2vp4/zP72nC7x4Zg9seG4el25usGrGoKaHol5nHpYHM9hVkawWj1YJK68rX4eVyuU5cDi/XYQozyBNISfC8hCHNojHjha24uvtA9BwxC5ubU/PG4nIRpbLgFTOuYKc0BJ918agq9FoMH5l0uVyuE5XDy3WYDF5pa3gdLJUxbMZzuLLbQAye8Tz20oHKEUiJvC6azWdYqS4sleV5tYaXe14ul+tkyuHlalGGF33+pCxPKi1Zl3d5WNvzCXoOm4xrew3DlJXbrIt8U6oZ5ItMR++rBVyEGS30T6wFlcPL5XKdPDm8OrHkVVWt2jnD1gWjNEVE70tTQi3ffgC/e2QEbu/7NJ7b2YhGhuVLEeI0TxxFTCNPS6lVZUjwmedlKKzI4eVyuU6eHF6dWKGNKnTKCPDiusI11VMS2ccni/r4JMOmLtuAa3sORO8xs7GlqO93AUV6WAnhFbwsQkt5GLi8w4bL5Tq1cnh1WmXAEmRCRwuN1TK0cJnEmmQ3NQzt5Y+BUxbgqq79MGLOChxkWBPjFwmuUqnANMHzCvnVel61cni5XK6TJ4dXp1UVXlXTlE4M15itNEZMeKmL/IaGGPcPewa/6dEfM9ZuDR+fLMeI5HXR+zJYtcBLJoAJXrWgcni5XK6TJ4dXp1V9eAktZc2UkSbIJ4nNoLF4637c8vAo3P74U1jbULBqxKKmgEoL9LzUYUPwUnrlKUBp3eHlcrlOnRxenVKCSLAwI0bFzGMK0zxFcYwc4dVA1kxauhnX9BiM3qOnY1s+RRMBFRNe9tXkRB02auFVrYZ0eLlcrlMlh1enVABXAE4wdbgQvEJ4CYl6GZbK2FkE+k1+Dlf3GILRi9Zid1yCtXIl9LrUVd7gpSpDpWvtzWWgyjyy2jCXy+U6ETm8OqWqnlfVCJyWtiviiEHqR7jhYIr7hkzFVYTX7E37rL0rIoRSgkvw0kwcAVYZvDIoKs8gh5fL5TrZcnh1YgkvGVhgYBHAEqT0uPJJ2eYuXLj1AK7r8yTuHDgBqw5G1t6VqDNGSv8rLnCpqaHotdk/VToGU76Hy8HlcrlOjhxenVgZZGrhJUtTVQ2G+QzHLlmHS7o8gUenLMCWKADNOtCXGCMhwBJ12EgNXS8OL5fL5To5cnh1YgXPi6gRuMwSm1kjpuclSO3l8rGJ8wmvvniKENvDMFUlJuWY0QO45HURVa2glVmtHGYul+tkyuHViSV4pYSPPmMSpoOKbL1QSs3reuFgE+58Yixu7DMSszbsscHJmudQPhYYPwAvQEk/a/FUD2CZHGQul+tE5fDqxKqFlzpfJHEeCddzhJcm3p27eQ+u7jYAXQZOxuq9efPGNONGFVdHlsPL5XKdSjm8OrnCGC95XvS64gKSJLaqwT0k21OL1uIqwqvv+PnYmU+hueITcqcWXs4hl8vVHnJ4dVJl0MkGKAte5n2liXlYW4spej89C9f0GIgJi9ajkTALo8BcLper/eXw6sQKVXulADCN2UqKiAgvtXctP5DD7QPG44beQ7Bw427zumrB5Q6Xy+VqTzm8OqmydqeSJuE1eIXOGjFhpvauZ9fuxPUPjUTXYZOxoSFXgZfSEHj2z+VyudpPDq9OqgxeAlbobZhYZ40Cw/fRxXpy3mpc1n0A+j2zAAcYVmD0AC/rEO/wcrlc7SqHV6dQgE7VggSwJIpRSlJoJnlVGaq9a3sBeHj8Alx8Xz+MfW6NhRWPCC/HmMvlOv1yeHUKHQ1eCeFVQhoniErhk/+r9kS4q/8U/Pbhp7Bod6NVI5rnpWwqHlsVWdU1l8vlOl1yeHUKCTAZuGphQw8qpSVlxMUERa5r7sKZL+zBb7oPR5dhz2JTBOwvl4LnpaQVeFXVdtvlcrlOvRxeHVUGmrCaqTYoY5CWJcIriUO71u4UGDV/I67qNhRPTFyIfdzOEV4RyZWSfSGdfighzbZdLpfr9Mrh1VFV4UumbDMLCt3kCaQ0tbFdUVJCI3euz6W4f8xc+37XtBWbbDqoiHHiJG0DL244vFwuVzvJ4dVRJajUgEbT5hpwtG37BC/NIB8jKcUoEGAHGLxkXxNu6jcGNz0yCs/varAu8nGsbvT6Rlclqf1UXi6Xy9U+cnh1VIkvJkFGM79rfoyUxh0VhmmlRIBFhFeuHGMfQyau24pLHxiE+0ZOw+bGxOYy1JRR+kxK2pJU/xxeLper/eTw6uAKHyoRvAQuAkfQklUAViqV6HWlaCbEdnN7wPznceH9A9Fv5krsJrkKJabm/pTkEv4CApW4Ji+Xy+U6zXJ4dVBlXAmWwYZbFWjJtBkTSgUCTF3ktxXL6DluLq7oPRzjn9+OA9wfMVKaqF2s1OK7ZeO9snxcLpfrdMvh1UGVcaXKlxTlkgYjc1UA04I7ioRSnkvBa83eZtz++FjcQlu0vRFNDE+ZJomLiOMkdNiwdMqgkonL5XK1gxxeHVSCjKwqwYs+E03wkfdUJMkKXNoMGrRZz2/BFXc/jl6jpmFTc8qwMuKoGaWoicljemohV3X0sK8vu1wuVzvJ4dVBVYVXtkbYCF4EkP5FhE9TmmBnU4Q9EbAnBobNWIPLug7B4LlrsIXRm5Egig8hLjSgRO9L6Uk/y0ttaJn/FY7jcrlcp08Orw6rDFoZYqrw0lbEffujEp6a8RwGTlqGUfN24baBC3DFo1Mxam0jNjLOIcYpJM3mfSWxvvfFlOZ9yW8rKUczh5fL5Trdcnh1WAkpNd3j9TOrNuS6usAf4O7eI2bgl3cMwWX3z8T53Wfipw/OxD3TNmDMut1Yvf8gmvWpFHppGqScaCopg1eQ1hxcLperPeTw6rASVjKvK8jgRe9J3eOFNU24O2LuOvyq+zj8hOD68QNL8IP75+B/HpyKix4YisFTpuFgoYASgaV5D2NmWcMul8vlajc5vDqqatyillWRpyTvKVT5aRLeSWt246KHJ+OHPWfgxw89h/Pun4//6TERdwydiuc2bUdR8xomCQqEV6TkWV4ul8vVjnJ4dUqpywZQoC3c2Yhr+k3FufdPwXm9Z+MnPabi+v4z8Mza3eaZFUspikls4JLnJeipxSvk4BhzuVztI4dXB1VrtGRbISRrt9K8hesOJbjvqXn4+QMTcV63cbiy77MYt2YfdpFSTcRUc5RHISkSYqUaeCkn5VGtknS5XK7TKYdXp1CAVVup08auQhn9n12KX3YZgisemoDhS3dgYwIc5L7mEqGV5pFwGVU6bGhgs8vlcrW3HF6dQocTJ+sy30RXavy8lbju/oEYMns1NpJo+xneSE8rKhWQ0kqEl03Oa+1lltzlcrnaVQ6vTqFAHP20tRYAqQdhGUtfWI9xMxdhw4EcDjDskMBFtMnjyuBVKkfW0cPlcrleDnJ4dQq1hlfGLs0TH6cRGhob0dCUR3NSQq6UolBOofkzDFblGOUSwUWziRFrwFc1l8vlOr1yeHUKVQGT4Sb0GEyCR8Wl5ipM0thgpmHMtp9emSbztcHOhFgVXiGH6iBol8vlOr1yeHUKZbAx8thPoUuISssJjcCipWkBUZzjUjBjHFqYEUpemCbjra02VC4OL5fL1T5yeHUKCTQCTxVg8qzodyGiRxWpQ0YFXmmcN3gJWrKkRMiZhZnka6eHCnnVbrtcLtfpkcOrU0hVgKryaw2glMsi4VUkuJISgZWqVyE9L4ZpX8Jo9g3mEj00mqaVytjlyHK5XO0ph1dHVQ1dtKpqQiOPWQgnxsz7ktm/cmgD0+RR8swyP03f/wrQC1WECqtkUbPicrlcp08Or46qGqgcBpuK1axWpDVhS+CStxZCYW1dMsHLMGhWXXG5XK7TK4dXh5WoIuCEn2GtonrQqQlrtdtWshxCB40K2tpEdLlcrtMnh1eH1VHIUm9XJaxNzSJV2WEmgAlb2XZ14XK5XKdTDi+Xy+VynXFyeHVi2SDkloYtl8vlOlME/P9Rt4z2bgk/vQAAAABJRU5ErkJggg==)
Maths-General