テスト関数定義↓
# 縮小表示
def test_all(f):
for i, data in enumerate(eval(f"test_data{f.__name__[0]}")):
exp = data["out"]
ans = f(*data["in"])
result = "AC" if exp == ans else "WA"
print(f"{i+1} {result}: expected: {exp}, output: {ans}")
A - Intersection
![](data:image/png;base64,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)
A - Intersection
やってみよう!
A
関数を完成させて「Run」ボタンをクリックしよう!
test_dataA = [
{"in": [0, 3, 1, 5], "out": 2},
{"in": [0, 1, 4, 5], "out": 0},
{"in": [0, 3, 3, 7], "out": 0},
{"in": [0, 8, 3, 7], "out": 4}, # 一方が他方に含まれる場合
]
def A(L1, R1, L2, R2):
pass
test_all(A)
自由欄
try
なんか、A問題の割にむずくないですか…
問題の趣旨は2直線の重複範囲を求めよ、ということなんですが、場合分けが面倒です。
とりあえず始点にだけ着目して、先に始まる線をfirst
、もう一方をsecond
とします。
すると、first
の終点とsecond
との関係は以下の3パターンに分けられます。
first : |---|
second: |------|
first
の終点がsecond
の始点より大きく、終点より小さい
first : |-----------|
second: |------|
first : |-------------------|
second: |------|
3つの場合それぞれで回答すればよい、という訳で以下。
def A(L1, R1, L2, R2):
first, second = (L1, R1), (L2, R2)
if L1 > L2:
first, second = second, first
if first[1] < second[0]:
return 0
if first[1] <= second[1]:
return first[1] - second[0]
return second[1] - second[0]
test_all(A)
結果:AC 提出 #33490865 - AtCoder Beginner Contest 261
自由欄
解説を見る
結論から言えば、答えは $max(0,min(r1,r2)−max(l1,l2))$ で求める事ができ、これを知っていれば早いと思います。
解説 - AtCoder Beginner Contest 261
まじか。
def A(L1, R1, L2, R2):
return max(0, min(R1, R2) - max(L1, L2))
test_all(A)
結果:AC 提出 #33490904 - AtCoder Beginner Contest 261
まじだった…
自由欄
try2
上の解法がスマートすぎて、なんだかむしゃくしゃして以下のような回答を考えました。
うん、きちゃない🤮
def A(L1, R1, L2, R2):
return max(0, len(set(range(L1, R1 + 1)) & set(range(L2, R2 + 1))) - 1)
test_all(A)
結果:提出 #33491253 - AtCoder Beginner Contest 261
自由欄
B - Tournament Result
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dIRl5/g97vJor/XlkT5vhHeyfDMAyzWLgGRhDDMAzDMMzip8g+QQzDMAzDMJ9M2AhiGIZhGGZJwkYQwzAMwzBLEjaCGIZhGIZZkrARxDAMwzDMkoSNIIZhGIZhliRsBDEMwzAMsyRhI4hhGIZhmCUJG0EMwzAMwyxJ2AhiGIZhGGZJwkYQwzAMwzBLEjaCGIZhGIZZkrARxDAMwzDMkoSNIIZhGIZhliRsBDEMwzAMsyQJN4LeGEBL8wNo2FyL2s2HMDKvrgtyz+/FA9s2iusNeKD5EDKz6ody8FG9l/lkc2UQe3uz6qQUZjDYuheDV9RpHC52Y+/JGWR7S3yeKZmZk3ul7MvPLDKPb8G9x3Lq/KNlfrQbWzYfwUI0nDGxgHxfdrLobh0UIWLKxacsgTo28+EIuvc8iezrWax4/CUcaliufhCITNf9W21oW6fOdajC2ZbD7tE2oLcWLcfUdY26jiH0bK9UZx5iv1coR20LBtRZnuYURltr1Andk0ZShMm5QlAh2X9LjzkeZYAqvtx9PWhcqS6UBcqYDei6YJ81HR11h19UurXnE2i/lEOi1x1fh6xKF9+zC4D8TG/2+meWu60jXcioUyMb2zHU24gALQnBLZ8wQvVQY/7CIfxR67PYESovKqRy2OkLM4WnH4n9CfQ9k0CPo5NkHL29M9L7zXGqQ/upMuqW1JuklmdiUMqzseJfAu9ncGjrXjx7j14OlIt5TJx6FtPrmlBXpS7lIZ3vQ0KkzaaX96Kh06DlTtkUJR+gCSlv/vEw/8szODqewJ7t1ahQ12Sa7PGViu4870k3p1wII2qe8UJlrVEWBoLKpTjldTnK9mj5vjSK1Q1R0kISoZ6LirkMD+fa1HHXCTKCQskdtw6/+JZ1+tH11vpvHLcm1WViPHXQOndVnei8e8JqXX/YGlOnJVHKe4nXDlvre9xvnh5stQ6/Rkdj1mFDuAq/64h7v3XCmlZnLmT8RLikKx7PsZ5W68S76kQx1rPe8E77uu2vwXniFYojB/F/66A/FvQe+/q0deJb5rDo+MPlj5OUC71T/U9ydT/jOCUz534H03lAGkQKjxev/3GYE/rwx3dYd4h3hcvKoDex4uFxRcNLOi3uC9JVgf4Oky64cOUfWzfsZ73yVe8t6rS0Nv7ud8V0MTpzIu73WHf8ofA3qhx1FyLTcMivCProEKIfNpQOCytPSQfcctX89JSZ/ns9BJQp8WWohSEwb8bUM+mn6feCK5oHdCLn+9Iw1Q3hiPAU1cso9ygo7T3yMTqVNsFlutctTF+vJ0WNoOkXDlrHc0IXXj4oFOEuq+8X6gdStr844TJOJLKwW7gAYr9XQYnkVfLSjCCzX360TOpSvIDMmL/Hfq54xlL+ewsIT6XSOngiuLAwhMsdL9M1hfMe+X49c3nCJTMTyZb8MlWYBp3wxMHovJk5aniIKBnc638Abz3ziNX32rB1UDwTrhN6mAqYdckkq2sLhcOJu657+nUpQyXn/D2eitJIlHu8iGeK57ESEQ2pR1Jj1vD3w9PZibuMqx4epT/F86gO6WHMNCVZh+oh6clCylSTnml+etKtFCMojgyLGv7kQvSI3hUpTQzhjEv0fF8aRY2gKGWkr2w1l0FRKZr+BuIbc4uHokbQqz1P2AKee9U6KFpUdxx6VbSvBFfPWQdT43QUCAmzVMUp7b2Usd0KQolZyDRUQDkKoypNk8srkH6/InbGClNI8j9EeWQBUqJy0bPegsRbsXmQhZMrrJ7wGQprd4axZer33yBHgvzTw2g6X1B4PHj9j8p756zOQ8PUryDjZ0p/lxHhcX7dcwiQSwBh7zDrSQmVp6q0fAVrFNmZdM6ILUcn7NeichEFhXXuewet4d/YOhFoBFGYtd9Ixu7wmNNo7rU+q/N7j1i7Hj1t9lcg0yuKPEi2mjzMLjgd537Rbx08dNh65BuPWKdNrUOf/+RXuBHkfrffuWQUU4aFClMLg65fHl0L13vb+XVI+C3ek4+3nv5Sx4PlmSdCvl8oFDdv+RmoqxJxT+jvApJfsXtCCC1DdaQcnTQosZ5aBBQxgsatvh5SAnX2l3eJyIqM9p44EQI4mHF+MSAznlA0XwbUXZAilvhe553q1EnMgqKZCzSvFasrgTdDu5U2Ap4M7ZB/p/F3vzFHzpsJC4WV8Os1Xc7ifNBdsMmCRGWMoEJOxkvK0A4b3ed6Jym9N6x6+PO/UwEk3uXKJJpz7vfG3XSuZeZY4aH/Te82udACY04Y5Aetc6R71qR14n8X93vfqRMSB68uFQujN73NhBXQEQpMD1JPTPlShPWw5x1BeqQ7U7jouaD8VS7mRkQ58aI9Zj750wdFWExlDckuOO87+PK8aJj1P/eWSr+D1qvG4sjx204fk2zyFYemI2Y0Y8GLqKifoLAIPaUeL5MsZZrmdZLCQ35pfnrykUkGLsT9hffEl2EUvQnLY770MCDf4Sk78n5HyhPF8j0Z2aJOCvJINNY7/0Owgewg0yYfb7ccbdk6vxVzmn6QPoXIz02Ud3jDRTh6RJAume75eBBuBE2ftg7/VGtavH3c2iWEsuu5SWs89VhIpO1K3KioURKoxPfaiu4kRiGTFzKNnnAO/gLGlck8BZTLeHEpinCGzBWUYYO6D51MEVR5hFcYWlxiZQQTfllR2PzvF/dRvA0GT7GCyihDr8vLNGZ41FkeGb7D1mEhw6Lh0pkQLf68Ltp6XayAdodJC49Hl0JxVTQBSPmFFD6aDpgqHr8cSMYB8YsSHpJxUZ3z5Dd6JqpMovKBaER974Q1+YF9aucpt+5IfOGlsBnk6Y3728PWsLhH+vv9QmNNJzivGvSzqF74yyiHuUtj1rgMgIjzXXdYT2TlZQ2VproOyjhrfnrkQGEPzSO6PEqVoYTCZo5XHvJf09kw5/jvy4PKD3N6BBAl388FNMYV4T8rP4vFX0fl98PUwxUWFy3fG/GlmZui6U943lG8blq8hC6Rn58Yx01/oC17+Pyd2FEPZI91o2/i97A2cEa7vYIl93ZpC/lKeu+VQfRdasfQaAdwoBa1tSIMa5LFZ8dfGUYaCaxSpz5WbkISOUzKkxlxBKS3Cf/lyrdRjGpuqD6NBtfyxSz6OxNIRpxlTysZOtEh/TKtvKhpTSHR2S98taFZ/LW15KIu36RVA84zZpdfSnwlh9xGXS4zGD4LJG/3hIvuo//XtdlyONokV47Qcds68/u6L8onhWwb0aNkJ92pdtTRKgf9mrPKKm54NEiutamE0I02tN3XjlzKSSMKX5jsZjCYOofpV45g/2P7hTuIwUvi8qWclsZuJi8bwuSwMoHEBUeXFgit6JErijJIvxwQmikhiUt9UuZ9q+00KbgUsEdLC0G2twVoblJnbmbeziFxS0C8YiPSSMqc5JtDXT5/lYeZF/pwbjqDIx2UZvtx8OS4uOq8swDFqW61lvNlWZDEJk/5Qve5+Hwd6lZO4dzPRrBjy4bCSiwF6Rut6MlcjhGrC11o8OSTggte5VjxhRpUUwCujGNs6m7cWm1fd5g52Ycc5cf9QCf5JXQmsbn4mqEBoRvmsAinrTaLK0OZF/N+0WreAbTofmtOlkWyXBlC+0b5uL0KSukvaSqtIHN0WpaZoh7ovLw7X37KMpLyviiXoqdHxHxf4U15N8E/U7nTCeyncEdcwSXzO9U5PWhr3a3VA7Ri1J2Pi5E9P4CmCDpQFEcesu6tA+Lo+2JCGUNGxlOHrWGPNTuXOWhb3n/xqrriRraOhIXobxErilmpglLe64ZaGIXWCIXFtmz9LQ9TOAv3e5CWeJjl7m6xuf1WLbK8K9KCd+5ztRDd/vvRfxfv87Uui7S8XK01z/MUJlNrNd+qUPcrP8Z66D3+MORbGXocizg7THHDQ1B8bT/09KR0sf0OkyXp3GHr8IhbESn86//3oIn59D6PnxROn747rcBozqufdstWvceVZm6Kts70Zx25ueRXwJwnCvLNO1OaeNHSXk7oNz6jycgQnkB+Myxaymr+oIOU14PWCW+ieWRnKgsIY8s4d9y6/w9pKGzOGs+MWfnFqvQuik+AHKXMvPEN0uU8xfK9Kh+Lyd4JmzzR/PSE1RhfHV1u+rEgugwNeUWGKaRcpHDSM1J/1LPy2PyMzOdOvDxxDKNovv9g0hoefMLqFHWRp5qSTP7tcevEXx60nsiafrXDFSpfF4V84JKrlAVdN8TdWOY4GOSe96vgTGnoRcrXCcNgQDmk5fXocb6+hPQE5TD2bgJrPdZsRe0W7LgR2FqzVl1xU7m9Z4H7cZT23gJkGbeI1k9Hfs8CCpN5zwPqqfG23O0ehoRv3w+B7LkIs9wnkXNabNQiOZtEh2yRUJhoz5BCqyXVnEEX9SgZNr7KPiPaUupe2bvkbPDn6rXSe1n03gzVsuoV8VqTxrC4XtoGfavEm+znZfgPiBZki3fvGxGGPTm03yckQj0waxL532tai7RwPL1AqWagrrlJuibaG0j7zW7VxQwPtZzkXhlChh2ilaJRub1DtiybjoaE8f0RHHlpLXbXuhVx1Wrh12gO0+pcx25173T7Sb0xektZUonG3kL8TI7C7PSo6b2Ceq+W856gFm5Nq7lH0aHQwyHkmQJSIfl28rLa20XodbfsLfTrNPUC6j0aga1TLe07RJoOaHqTR+h6rt6Of0rcE20DwHmMPJXG2mZP70xVAnUY8fUE0XWcHbbzH+XXzgR2e+Ul9KjlUjt2esqPmWwGuXu2YsMHI8i8uwL5Xcyo56Kkfa0WxvjoCVTdtjb4vSJ+eylv7HfCRjoYsRcijBJlSHnF6QVy9IRGENL1hXJbIvOxKudkD5R4RvaAqnJO9YZSWerWNyrHE6E6bSRCvp99JYfldb+HuQ/t31zMjmDyX+zAnV8SWf/dOXXRDfUWG+sXL5RmTo8R5S0doWeyzNTquTzU4xzQW+0ro+gdsjwp5GPyN9PZoOTeHZj3ZF0vn+kQOjBg7CmeeTmn6jJRwJyPlouvO8oYcvHWMw9a9//xHwnr7Y+se3Y+4Zv4N/6XrXL5ehhBLYIwK3XB71VWZ7AV67aC9TC65voUa1GZUNa0+d3eFo52bmihuFtNKswqbr7rdERhdyZG634Jvyk8dq8MYWp9aaj782hWvDdesmXkCo/C5Qe9z75Pd4VnCq0cec3RDee9phaz8iNyeAT5lpdKI7sXRb3bp4uT1onv3G/d81Xx21fvsR55wek+sK/ff+cd4nnSz/utftf8C022mgz8LeAoePXFRsbRG16SSWx9deRu0AWSkU8mApfsCEMYXWlvh9ebTjp2SzJIHwu6YQyPh8nBRwplx6On8z118vr/9q/lPi9/9Mci/X7i9svVmnXJ29Fdc/jmsn3Wroc7rYM/Eu9Sc49cBMmR/A3R62AXJCfiLev4zjsC9cyOo1+f8njC6uSlMKena6kytNHSmVyQLiv9ozh683NQvIvpn5t4+f7qmcesgy+be3qI8VRwXSXlFTfPOnkrryu2rGVaGfwylRXGew3lh3u+KqVhiO6IJ83lqELT7fjl4PWh6BL5UqGEdimgntEjFGrxsRMjvCCg96sM6U38OImlx8VxxeLkeSY8czqFh+68BYl+T7CSuhXf5K/bFSs08nI0ZDyJk1kl4n2+DKbkKwswT7hJRroc8zILLkRDw+NNJ0MalVQgGcjHSyHlHhQuI5608YTVl5/yeCoR4bz6mw9L3oUUapQukfOnV5/CKjsd9VwZ5F5+CvIslhdC8clRk5U33qSnobKgMIXIdvq00PPHSti4VtMdLaxeXfbhyuMmwmTo1RlDGaCHR5YT2rmA8oIpr/nD7M8bBRdVV01ctU7/h4PWq5OvWq+SofPBtDXpyk/CcPqW2uIlgHy5FeAKcfHIy6QnUkbe+PjjHphmjowdFzX/q+cWlE8WAZ+iP6pTiGEYhvk4MJtG19f3YdkPLuDedx7EA28/hL95xD9Jm7kWzCLd24+p1bfizu11qHz9CDb+cAWePrYDCflzGvufWIaOP6/j9PgYwEYQwzDMx435LFLf2I+RxFosT9yLR3dtQOUN6jfmujM1OoJlNSswnl2Gut969tp+D48pK2wEMQzDMEypCIM0/VoCyRWDeOiZq9jw2bXY+mASVWyUfixgI4hhGIZhmCVJ6GaJDMMwDMMwn1TYCGIYhmEYZknCRhDDMAzDMEsSNoIYhmEYhlmSxDaCaNv+/Ec2P0pmM+iqvxcDb6rza8YUBh/ciL2nFkGcGYYpK1Se0ecWSvu0DMMwH3fiGUHvZ9D3HzPxvo4cBn23xPDtLPkNqJBvlkiWrcCG5jYkV6vza8YyrNj4MHasK++eD6UUuvRF5GJfC/6nDz7EP/7mHzA/+xvp6JiulYcI6eJwsXtxGMsOgbpmIB92iq83neibWf60cypTF3HeGRXy0/mWXFQihCOO3pR6b9h91xsn/1Vu3w2kBrHqviTSz2hypW9WxZKz0JVyp3UYiy1/MczHlBhG0DyyR7txQp2VBfq4ZP2m0j42WFGNrc1112Evhkr7w54hH7yTH7V0PvKnXDFjpRToI365t8MLvg/n5mH90z+pM8hjupZH/yBhmAsq0Dc6H3ANhz7O6XxQj4y3vL9xK3AjZIhofnpclMpBD1NwWtWg7WgCXQeKVW70scYMBvY4fkY1cMnIKoRDumtRkdIHFS/kENZ0Kao3GqXeG3afhIw1rzx8+kJpH2SI+410U94k13JMfcC4tgUD9NHXbTnsDvzYpq5v8RovXuM4KDw+l/9oskEm5PYMaB+5tN21KHMY5hMP7RMUidxx65HUmDX8/fVl++aP9xswBeh7KQv5tsv1Qv8Gkv59H/XdlhA5uT9SZ8L7jR2T88to7urfG10ood8XihIOf1zs+Nly0L8tQ9/5uVbfmjF+B0z/Lo78zY5PPgym7zaJZ4LDrKezgvzIf29H+93kt8L5dpDUf/19KrzmfCFwvctMse8SkfOmgUlnyJkw3UfORNT77O8/2Xqklwt2XHT9KlI2eNIuiKD855IdyVnmDS09KH2M8hfhMqZ1kfAS5GeAngQSMZ4Mw4QT0Qi6ap373kFr+DeqsIqbYQMoFERhFa23sJqzxlKdVud3dlmPnLmGhcAHk9a5Hx20njjwoLXryTHxVi92BV+orPyFHRWoQQWVXtDn419UroYK2IOp0iEXjB5ucUxhCCpgQyp1L5S2h8n5KnP1DnVWLqRehhkHqjLz65MhPL74e2TkSWd6t08PyI8e4Uxx9VR6fj3xv6OAO7xOpe2Xs4cilebc+R9Zrw7kXDrzVtefWf/336kbNOau5qw3vvFn1hu/Kq5jb3Vtt/7L7xfc2Hn/fTIOWtq55Slw6Z07/n5C8gjJPbBc8ZC/1+OXxwh15G9yThz86auhx035Tfeb05P0ouB/WHoyDBONSMNh86N9GN34EOpuBFZ8fgPg7Vp/cwAPPBU0zJHDwK6Uoft6BrlLCSRW0nEN2kZHMZp3KTSJfyl53INGeY/N/CvPYnxLOx7+w+VIZ9+CuXN9FiM/3o/9jxVzKYzMqkc8TDx9Ast27cPDD2zB3NE0xtV1h5mTnehak0LbOnXhSg45z1ARzTdInB0OHN4oDJ/0IXFKxLW3sTA0aBy2akDXhQG0aNcWOi9g5mQfcLRNpABRg531afRjJ5Jn+81DDjR0oL0/eHggg4FLSex05JNnFRJCJ8o0q0xgDymlNwv5BQ5nCKZyIkR1aD/l1ifJmkSRIVnSTyWji2kM6Ol8ZRB9x0RaptQwFulBcxI169qwGwPinV5EePfk0L6/kNaTlzP5oUMbkQ4dOaSDhje0NGi4vFvmmbweuoZuNOcbPvEPKX2Y0xPyv+N/vpnAZ/6FOl0AN/b9Ff7V/yXcqW9gbvd3Mf7f1A+EkF9nZwKpfNpRuVCHhD78vLIRu9ekMUzBI/naVwOoxKZ6k+xI7lBlyhDaN6rLAdBwLmQZ5OSNAonVhVxeub3HLrNOtaOuOWUfq/Oc0glZDnSa81P2mTSSji5QPNGH4dvteUrenJ3tbRF51fZ/qKNOXWUYZkEoYyiYD8atvu+dsCY/sE/tlo+ndfTBnDWnfjcx5+9GEYT1agS3hCczw+JJuxfmYMbocRmYtsaydivr6ouPWev/9LTdUstD7/e0JKnl6OuJMMXRDrtpKCsaYb0EcXuCwv0q4IRZOL1FLp9Vv3niHtz6NcmkNOwhlCCnp48Ko6kHwdOyl4T0mrjjRf6q95A/4p2u3i95zQ5P/ppPTzQ/dExhUL0TpfYAhPVIzP3qp9arXa8IXXnFGvvGT62/k709P7Iuq9914vYEUe+Pcw+djzz/39SvpjCZdZLukzLUe06CMOVFTzqT7gTLkcIg0s3rBxGkG77rwg8tnL7eLSJKXPJ48g3FMfKzDMMEUbQnaOaFPpybzuBIh917cvAk9YmI1pjeaLyhAhUhE5QrKtRBGajaWIfKd85h8OIObKkto8cuKlHzZbtlnnsjjeqvVHt6CiaRu+D0Ytlkzw+gabO3zUj3qUMJ9Vp0AvupNedvYZpwTSqWrgUDG3PoK8cEY0PvlYlsbwPS9UMizNRDZ0M9SLmOnSIOlWjsFS3rS32+HiF370a5sHt+SBay98fVa6i7Qo8P9dql1zTB2Hamyflay95EYVVeFv0i+ZK3O/GiuKv3iFZ8z6howR9LIKn3fm1sx9DoEBIpEWaRZtTDUKe/78ow0khik6d3yu6JKCAn1J5PyrhF+jq1YUJtgwg7znaGT+y9OAl8YQrvvavOy8xnEr+vjmx8vWDU00Y9aerUge6T0CRv+8iG4unNC+uSaLqU8/WkwLlGvXeXhDYErHKVPS7Njqa70Sf861D+D9P3ms1N/kUN1DtZtBdSxyl3ZzCYEnpU1h5VhlmahBtB72fQf/le/Lj3EA48fkC6Q//+TvHDPPCBfcvs62cw8MMuDL5jn+vMvz6IZ58/gkNR9thxFdqioleXTeQuDGL8ri24FRPIXDSNZy18OMwmh/FRYEO1q9gVrELC1Z2eRfpYk7vyIzxGhj30ZBiOCYAq377VZHx4KviWBDLH0sbudeJ/nPwu/uv6+23X8wt11YC3QjFBFQZSquJVQ1kXu9FwNomOfGVcicQadaigYYLCEI2GrPSjrTAzUxg6Jf/dw3kGRPg7Kaz3FY2pD2clT4uIP72LKscwvaTfbcPQCxlLIsytwmS8xR2OmZfTxhWSbuNAGF8iDkNhw306lJdotZOuM9J1CHMrg/TLAfnxzUlMvg0s/1+Bf/y7K/hHVOF31E/l4h9yv8Ky1Z9TZ/aKRx1zY0IfIqtB0hkaE2Sf6ULCd7/AO2QvjNSO+rQ9jLhNmJ31Ih1Mxq/QbZnem9V5JALyv866Nr/xWpUwG+ZGhA7tTyItV7RRoyQpcpEpH2nDoeVoKDHMJ5wQI2geI0+lsbZ5A1z9LTLjjqgWSQ7Z92qw4eZpzMkfdXIYez+JHbUrMPnutLqmQxWn1rI5IAommhcjC2sas1dzX3wZeQbZTA47vrYBGM1gunK5uq6zHBt22UZbuGvBBtPjDleyyLwhWqVfUOd5KOwD+XkH5sqP4iQK6BZ97gfccx1CsQvW3aZWvyhQw3qS/tn279lzMMjt/QN11QQZNV3oj7W0VqRLKoEhff6SDKu7ZywIqrTclT717ETce8hAMZm65lwYKPS4iHAoXaNrNH+GDL0h0sfWVbJiabnUjqFToiIyLZmnylP8XjAMAxD5B848MTLQOhP+NFZ+5edTkTEdo8dAGlYhxpixJ+lzq7AMU6L5sAqr1om89bcj6ocycvH/xLvH/jVuWq/OBWQUDpxXqe+Nt8Kef7c733io2Sy0lvb0IQPdcL+/kWKTn78jjEGcNfXcUA8LtPlJfvI9UuLd3Wo+Hhnivt4r6tEqlmbUCDnm70ENRPY22mVkh2hKGP0XjYyc7LUdFaZccEOJYRiFGhZzMTn4iHX/H/+RtX79H1n3PHramtSv/2//2rpj/Xrrj/74fuv+n4zZc4b+9Hj+Hi80pyZo7k5+nF+Od+vzIgrzAvxj93PW2F/ush48cNB64kzQW8vDXOZgyLi7mjdgmDtA8TLN3ZDXY4zjh89bMKPP0dBdIGreSvB71HwaFVffvIao81TUfcZ5FrHmRniQ/hrm1HgJeoeKv+OHL40M4Zb36PGQ9xjmOQW809EP40o1ed3rl33dJ/sgZJwM4QlBzgX6/e35FWJyVVfXK3n56O+25wT5V33JOVqe+LpXh/3Iesugi/I5U7ydtDHI0H4mQrr7UPps0kMdSlPTPY4+5MNaKKtkeNUzFL5I6aX8i5y2Alt/gtJXy6/F4sgwTNQl8iH8os9qfe4ta/zlV62r4nTu3UnrqjZJ+tW/aLVO+2oehSgA8pWnU+ApF6dQuFaMPXmHdVdqXJ1FwFdA+ilUgGbnjXehgvA6cwXgNX4cF47b0ClqqLnSKjiubn/D7rPlEtfgK6AZpNIZZENhLhYvLzI9TeG24yXTKszfyO8syClYBt44epz3PZ785HKGytGkM+SI6cHDLnma7iMnw+jx23xfMQpxLWs5oPJnJD2jeyMYEV5jJ59fY+maJ20D36vui6vHDMME8in6ozqFSuOXKRzKVKK29k4kvzyLM99uQPaeC9i3kQbRJpBqHcOW3h2IPyPjoyF37F7c+9K9OPnEKgxs7cPqp1PY8Xn148cA+jSBvpsv8alPfxq//TufUWcM4ydYb36FwZOr0KgNoQXde/XcX2Nye6NrWMh7L+siwzCLiYUbQV4+zGLk9QSWXZ3C2rXjeOSZBHqiTuhcBMwM7cM9P5lD3S2rsOHftaHxC9dqBdq1gb7NpH+qgCqdG5ZV4NO/dc2/L8J8jImjN6Xey7rIMMxio+xG0Mz5NKZrluHZjgwqq6vw1V1NqL5R/cgwDMMwDLNIKH9PEMMwDMMwzMeAGF+RZxiGYRiG+eTARhDDMAzDMEsSNoIYhmEYhlmSsBHEMAzDMMyShI0ghmEYhmGWJGwEMQzDMAyzJIltBNGXtfeqDwdeUy52y/dke/dG/8Ags3R4cwAP1HchPavOI0Ff2O5Glr6yXtYvbE9h8MGN2HvqOuQL5vogyh/+Cjuz1FkK9W88I+j9DPr+YwaZy5PqQjnIorvV8FXudTuRPNsP3JdEmr4YraAdaGkr/vnZ30hHx3TNRNR74/hZCtfNcIxBFOUODPe1qCDIMDHpQRDLE7izdQc2LVfnHijs3b6v41eisQXoe3kTdiPg690lxW0ZVmx8GDvWhX4zPG/Ylw0Ka22t7XyyI4NPpPHJkHeSzI3PlojjHzmSYd7YVManOCpPoVrw75pA4d4zABxrKcjXiZOXEH0Jjus1Cr8uf80V0l/pRJj8o+q/fh+9N0iHFpN8vIiwxcmP18wgiCrzYqj85gtnnDT16E7LsQy6trmv1da60ybbW2soayNSStxjplsxYhhB88ge7cYJdXZNkZlqGJt621CzstH12Q19u36Cjumaiaj3Fr+PMqVXEcwuSBkStxSpIAVUcZv8lM5UyAQUegW3sIJk8jKQvL14uD8SVtahaXs14nzURGZWtKFneyVqWnvQuFL9sGAqUdfchLoqdVoOTGnrLSzWtWF0dNR2vY0iFAZutxsTPj0g/7flsJuebcmhIdAQEo2UOHrUnMLoqXbU0bHIu7axOYkcElglfElfSmLTguUu/LugDsuOiO+2NJKnlFylS6FpYzuGDJ//mXk7h7rVq9RZVK5R+KmszIfZdkMdMiWiU5VA3aVcgC44CBntAVKOPMR7O+rT6DRUTNdePsXL5pIraKn7BX9MBoHfb/czXlc8LHp8DEaXwVDJuwOivBb5LbfZ3XHgJsR/vTxRLtVch3ZXXiAn6mX1iE0dEpHKPoNsTI0Np7wJqt/EM5nOBte10tNYQDtGRyJ33HokNWYNf7/cXzEesw4b/Av6qrjpq9TkTJjuI+fFdA+5YtAXo4O+SF3sa/HSFf1Ktfq6eFx5y69lm78y7zDWE/67/e6AL79H/MJ2LEr5ynsIJH//F8jpK9zhX7O/JnFzEH5H+YK5/SVyO330eNg6VUi3/BfLpTtsnQjROZcspH545GC6RlC6KHkE6rQjL+de9b87fLorkgZBhH0ZX7iFf3He8zX3AOf9anzQe3157JqH3w+lWUHnKE+7wxScRgXnDpddJvnDar7+0cnHTsvQ/BYxPxLm8iQ6Us6ecsWVn5x8o8czcllkx/WwiIsem/j+q/rGeSbAeeVQvC4JIXIcNWKkWxQiGkFXrXPfO2gN/0YlZhkqq8ACVThbyOYK662uP7Pe+JVurLxijX3jp9Z/V7/ryN9+/0fWW5phYzJu7Pu2W/8l7+xnwtALFzuDBBsNYQVBIF6FjYiUawSlssOsTlQmcqeruOack6Jq6eNy5TJcKL5R/Ppg0jp9qNN67OFdVl92Tl10UPEwOeW3nm5G4mRKEZZzPzpoPXHgQWvXk2OWNzQ+KI6a33YF5C5AvOnn052ochJ3eCs8IjT/mnQuToGjnpfy1uIwPSgMtHeD8wdhy8LtgnVf080yMtYjwudJIy/ufEPPFGRsioPj3DK8NuG30zzs3Wad8OKNYwE7f4Wmi+f3j0Q+Ug8jGNqetLbDZ5LPmJRbPrwu3RbXQ8Nqp0nRMkf67QlzEV2UyLgWSdMF+F/cwImmU4FELm9t3XLSIHKZFIFIRtDcyGHr4ItX5fHkTx/0C/NSv3W/qATMvGX1f6PPfb+ONyHoXCmVqcJ6q2u7NXZeM2p+9VPr1a5X1K9u4hlBhfv+buDPrP8SYFjZeDOpOg+oMIyZPyTh495fCjLz5v03KHFYBomsuDGIkpkFkz/tU8b4Hdau5ybVVT/ezEsytQtnykwhBaQsMCIUoILxnzwhw0K9pPdHeUbGsZCmPl2Rv+v+mAuYfNx0/0R6uPSm54TnWbsQkTLwhCPvlE5Lf1T6BleIBshfek7+f9hVaLmdE65Cpe1/hxZeL857BG49Vi60UipCkGw0VwgThT843QMrkGsW/iK6LcPr1wnf+71OhsdOq8OvFXlG6p0jo8UmHw+etDZXrEpHVXjy585z+esGpP8BcdSw42iQk3ieeneCkM9FkEVU/431ToCLmge8RHlHUB3qvJPiY06r0ihuBH0wbvV974Q1+YF9ahToB3PWnPrdxFxIE9kfIZHJnIQlJfIkMhko0gg6/yPr1YHcNTGC7PM/s/7vv1M3eIicCHkL3JCA8jdPBnHuN2QsKfewDBcZJxMXUVySfdD7roERJOUiCuhwuV61xjLjQteEjvzh/dbxnLrsw18ZkP9OGugZygv9RuEI+r3AtDWWtcN69cXHrPV/etqlp15k+ml6YCKvG3n88SD0uPgQaeP4UbwVV5xYfjg6o+mOW9bxCsxAPdPiWHbC9F7gln14fAJld83CH2Cg5MtQCm+09AzLIw6+e3zptdjkUyBKfiS8cYz2nFPGBjldJirN4ug56ajPT8256swS/JfYcaDGTHjPc3ga2+8P+d2nMyY876BnQsMUj6ITo2de6MO56QyOdOzH/sf24+DJcXE1h5w+oeqGClTcoI4NVITMXg2dfLsygcSFHExr0SbfBpblXsP/UOflZSV+O2Q+4eTlTPGJzjSpiyYPjuqTE7Po70xg93bxLE1CO5pAlzOBjSa8nU/aE88MEzArt3eg/ZJnRRO9I9bKHpqY1gnsN01u+yiZwfBZoQf7dyPRaZjEm2c5ajZWA6Nn8OwXGrFptbrs5YrQz+ZkYPxWra5D7m2T1LJIH2vC7v1J5FLF5FqJmi/bOpB7I43qr1SbJyYLaEJ2Jzpk2ratUxcN+PTqYhoDhnjQfRJ94mDEFRahk++lC5kETe8r9h6a5LitCzKEQqdbkEIbnBUglWjcn0BfVJ2lSbrqUCd7PndtJ+z7JmoWXEOnkv0CuGbhl3qfUpNXlXMmqYdhmGzbckzkkVTYhPgZ5C5FnRAbj3jyoYm+8VZtRc2PJJe+1UPqHntCccPl3bI8N5Yf+fyoyliSPU2o19NDukLZm+1tAZqb1JkbmlSulwf5vHsA6BD+UDjqOoY8fgunLZKI438BqicakGsZRU9rG3av6UK/mngswxBnNVdAGRYfx+YQ6ZDKCZ022wWlEG4EvZ9B/+V78ePeQzjw+AHpDv37O8UP88AH9i2zr5/BwA+7MPiOfa4z//ognn3+CA4F7p9ClY4wdPTVIpSR1yRUItagzVBZz739C/xPbBBV4hT+4e+m4PagHFzBP2YS+My/UKceqBItRvYZWmFih73yloTINFmRiYRCHtXioxfyZBRJ40efQa8XQpVIrFGHCvmO/QGrggzMnOwT7y9tVZSr8qQZ/WVk5mQnutbsFuGqwc6OHFpCM9k8Rl56Fmu/vglVVzLIGPRu5uU04FmRQsa2U2BXbu+RK8S8UIGR69gpVyRSxjetdvGTw/gosKE6oc49iIKxTxgCpvd58epV9vwAmjZ7tV+rfPTVQAbDeZUwEnMie3gxFpzSDaF9o7rJgNS3+/zvyTOVE6Wz8FtWvGl0pxJoF2aQawUIrbyqz0WSbfaZLiR88dfLDKqYYqxci4rXkNBc0Gor//JpSidP2Sa5huEnfTDoQShkAIl08lfUokFyYQDpoFU3V4ZFCvtX+gWtBLtm8rnYj3R9R/QyLUZ+pDLZuS/b2yDeI3Q7TL75/GiXsUXLZ6eRsFmdF4HKLZk20sgRDeqzSXSExSOm/4RdzrdgQBhvO5WBWNOaAvbYZb80HmPomL8M86wQo7Kh6GpEajwlkZYr8ygdkhAaAr+m2Yaq9DeGoRZiBInK5qk01jZvcC9DlhX3iLLKcsi+V4MNN09jTv6ok8PY+0nsqF2ByXen1TU3VCnLSkedS6ggDVlS+c+EQYHcCHDLH2DV/yqMsL9VP5SRyZ7H8b6I9/9TnXsho2agaE+Bm0ynqGCFZa23PEyVtW2oqILoKNCSbzV7DUaDAVkE3RAoCvXCOcopCo5OkeHyBSVVcqpSc5YmUuYpae8GkVEbyG+VsSijp0TWDfZrHCPP16FxcxVyosVY8Tl1OY/W25YnqMAtQOGnAsMp9Gpah5A821B86eWVLDJviJbOF9S5lyL6rCP16rzKvFSAXSoURA4Fg9EOc74w0TK9vXx0L4ZvSQoZietRenACcBtSGaRfDk5jd8syiTZRWDe2ulusqWbx0+2FysWIalHLAtzbUhcty3yZQRXxmpBWJvkTq6dUEbkniBomotF2kiobO03ySCPBUFBfj/DrCP3L5BuVfmQl1WKqqKkBGtxTQgYq6je5nqP0d3ON5SOg8BftldeJkR8LiLJW5MVQg8NHsTKHejS0bQYM6D2+3d7ykDoL1KGZuP5fkgaE3UOWgrvvSOjCUXFFGEZ+Gag0NvXECX/7XGUYGSl9SOhL7snfC11oUPkrsLzVGnwdQnMGTDot9CVHhqq4JyXuiVriGY2gqZP78MA9DXjor9Lo+8EZOGWgvN52RJhAwOCBB/DAsVnU1c2KSqAOmz5v31MggQ1fWY7ZS1msMraStcpKFPhOpRdFqT88JpL//yEO1m0QBdZfY9kt/1xVCKZWw1/j3fX3479K9128+e4vpCXqr2QL972Lx/Cv9v6Bum5AtBBSayjhglspNZsThT0lVEurUKDYFmuDr7K2yXe1rtspWtJpDIuKtltY526DsQbJ5gH0xTA8qELrOhC1UF0lUjCgy5EKVtlaphaC3cIj42X35QhGg4ZMM5KNZ4+bGlFxkl/mTfxWYW290LmfHBKF+w5s8Ay1FgxrkrFKn6ACV0Hd49TN7W7hiNZH7xASKZF+IQbE/KUJZDZuwK0BmzZSowGdndG660mvRHUhdYaGUnW5UIUorusGIyGNCzXkQfGo3ZNT+3qI1ui6TUhesguDROyCv4Cjj45h6BgEeafSyWhki3B35vWcKgb7shcZdsc/Z/8iXwFOBbtnqCSsFUkFJ+2BFMcApGeoYBY0OY0R4eweoCY5vK0bBjJPdQqZu3rIRH7d1oWEz7i4DuH3UGyfnprNTTEbdHbZpTcYbGhI2z9N4JrKRxA7/HHyYx4qCwtDQkE9yW4qsak+h5bAOoLKl/ApCTJu1AMj8kPS+76VIm+LMAXrRlz/14j7R31p6vSs7H17J+R+Yoa9i+y6zhNPUafLXt8IIxV6z3TyvKluLkB1BtWbRuNOyCShyqcWIZ2wuLtQc4NK5xd9Vutzb1njL79q0fqxuXcnravaJOlX/6LVOm2YweSdcEbn/kldfvQJzrqTk6d63M+a7iNHE6v0d5vuIVcUmqClTUiLMsnOubfYhDTdX/OyTRvdT5PzhsmZ2Bfk3GlSeK/7uaCJbkUmweVRk+6KTX6MOwGOJgzq92sTCM1pY08aLJZuMu4Bk/fGnrzDuis1rs4CKDaRMXRioJrYKFxoWgb5od7tPFss/X1pS88XnbhIiHCS7J08IZ6RuqnSI//eOOnphfz2hMUcH3ccvGVNEHm/AuNrSAtvmKS8gyf8Xsvw53Hpm+4X5TtD2Jw0MzhXHpX3eZ7XnzXJ7TrIJyz80nnD5ZKPwZnioaW9z4XptO9dnrAThnhHxScfkz8x/HfXJ6Z0MpeZvnAEysQrR4M8jKjnFlJ+BPAp+qPsodL4ZQqHMpXC+roTyS/P4sy3G5C95wL2baQm+oSw2MawpXeHsKTLA33SQt/dmfjUpz+N3/7VX2OwqtHV5Wq+99c4dW4GjdsLdmKgn7/zGXXGMAVyx+7FvS/di5NPrMLA1j6sfjqFHb6eUIZhGGaxs3AjyMuHWYy8nsCyq1NYu3YcjzyTiD9ZLwT6ppf+mQsyVm5YVoFP/5Z/eVrUe+P4yTAzQ/twz0/mUHfLKmz4d21o/EKcj3cwDMMwi4WyG0Ez59OYrlmGZzsyqKyuwld3NaH6RvUjwzAMwzDMIqH8PUEMwzAMwzAfA2J8RZ5hGIZhGOaTAxtBDMMwDMMsSdgIYhiGYRhmScJGEMMwDMMwSxI2ghiGYRiGWZKwEcQwDMMwzJKEjSCGYRiGYZYkbAQxDMMwDLMkYSOIYRiGYZglCRtBDMMwDMMsSdgIYhiGYRhmScJGEMMwDMMwSxI2ghiGYRiGWZKwERRAtncvBq+ok8XExW7U1tbarjerLhZBPLP35MzijRMj0qYW3RfVCcMwDHNdCDeCVOUZjRkMtqrKOe/KXOmSARC14pdQmLpR9AndsFCu5VgGXdvc12prI/gVwMzJvR6/PK51UITWIYtu0z3k9gyg6egoRkeFa61R9zuI51z+KNbtRPJsP3BfEulnPDG4Moi9pmfKQkB4iuHSO5WGFE5X2hv0rei7SgtPHOMx8N4yyPmjMJRIb4PLAFP+UjIuWnaUqBsMwzDlxAphrGe9tX59iOsZU3cGMWYdpvu+dcKaVle86O9oHQy6S/HaYe2d09aJbznPtlon3lWXXdD7D4u/8RnrCfLToXS/XVCcfP6Y/BbXQuRoY7jn3RNWa9hz9HvRdBTQfSqd/C5E/oZ3Tw+2WodfUycmhExcuqDOi6aJE8bA+EYND8nfG0e3c92vyTgfRkdXnbho99D7TH76nTu+xXXSJrL/gXKykXkzVDdITv48YMuT8md4/giOT9iz5ncyDMOUwqfoj7KHPFArrxPY34PGlerSNYZanQ2dGXlMvR1t6+Sh6zqaUxi9L4e927qQcO6hnpzzyULPCLW6xe/qCR+63zYU1wZ0XVCnAbieo3c8k0CPeKcrfDoUVk9vDbXmWy61Y6h3E4bpnWv898hWcm0LBtRZMHVoP6WnD7Wuc9jZ24hKdYWg8HWiAz3b1dUi8rFpQmq0Dd6Q6djxhicMOubw2PFLIxnkP/UivL2zEN6yET88FMf+W3o8+uKH0jW9eRTJ83uRu68DOKDyzpSKy+3D2HsA6BDvhjc9AqBepdx9Bdl6z2Mh0zyH3UXS1Ibk0YJcx5A5jKH649VJwvYvuj5/VPrBMMySQ5pCRuK1uMJbn6YWX/GWog/Za0L+eZ4L7M0wt/yjULTV7e2tiIPTYxHYyjbJPjguYbK3eyxC0tLpsYiF6oULeK54eOx7AuXnka3dW2hOD/O73HEtPTxjIp7as1p8pZ+G9PDpjaEnyEbvyfQ7f1jo/iI6GUiMvCzzWNT3lJ6/bILCVczfEsoOhmEYA8FGkFNRB7jACswFFXJB98YvQO3KzFD4ibAeNr1DM46MFaF6f9FhP83plaZrSCQE47sDnNtoCasoDRWVFl+JVvFSGIzpICs9r98hFUyc+0PCU4ijAbpP898UbifNAuNk0q1Y4fEaep600P0xykQ48lv8JsPoepcfik+4PpVe8Rf320bKVI9XMTR5huWvMIx6WURWRJz8xzAME0TonKBAnII9DCrIwlqUWgFqMkL8BZxtUBkL6aDwRAmnD7uya+0Rz4ZWWqW2yglvBSugijT/Pt0IMlV8dN3/fn+FIvxx/PRVLEqeukzz99i/+fyS9xvCI9PacN0nfy08dGaonJ3KdKEVnDF9YoTHG7ao4YreE2T7GfQ+P8WMIEof0+/uOAZj1qlQYucvpfdSjxzdOyzC7XmvQVY+KL+YygKGYZgYXJsl8jRHR84ZyCD9csD6j6kccKlPrurpWz1kr3bKuxSwx70SJtvbAjQ3qTM3M2/nkLjFPz8gez6H5O1x5g3QXIQG5FpG0dPaht1rutCvwkBzQwJXptEcicir1tRcq5Z21Kkr8r17gJQ+V2VjAqvkwQBa9BVQ0pnnL01eRnB8VyaQuJDDpDyhMAh50iqzU4VwZJ/pQqKFwlCDNpEGic5+ETL5i5qjQWljmKexshEdHTn0eVYDZc8PGNPFoWZzE3JvF56heTU0V4Z0oNgcnFKIHB6hv6STdhhIVrVouLwbQx11rvCWmwGh84U0jrmy8mIaA81Jf9pcySG3JuGZA2WiEo29u5HbVht5RWi8/GXPu0vXe/L65iQSHUCXvmqRdFUdSkz5a10STZdywleGYZjSMRhBdqHvrnQ9bs8AMp0N8thXYJIBRBU6FXBHzUYLQRUS6u0Kzz/BUVTC4tl8hSP8bEEKbZvt02hkkT4mClM5QZPiFL68XRo5NHlzYzt2qgq4ptU2xiiesnL2TWC2yT4jDIT7ik83lYV5rZowW6Wu5Q0Mzbigiksd2hOUtUpDuiG0b1Q/59Hjq3BVgGTYqHdc7JeVkazkqcIRlUlWxF/KOG98rEIi/47Cs2SoOHqgG6mVt7iqLQGFpwnJMGNmXVsh7VUal2eyq0EWccKjhSvbqyrugLQndJm4t1YI1zkyWhN5PbAn3hfSON4EaMpPTZsDwhjZWKB0HhWa3lk07G4ZF89fpHO0CMCXvutq0Li9xyPfGiTXpDGsjEBpnJvi5jLqlcxjbaHBMMxSx2AEUYtQL4z9jlrEdR12i04v1KQhkUpgSKvQM5ftYspLTavJ+ClAvTvqCIPCFkmFVEKTl9U6FWFkdDtGmWgZ5zp22uG4Moz0GkMrWWIXoHYPREqYHDq2MQZhGHV4wrpqNZCbUidhPV4KWVHS6iBf5aYZJw5TOWQitd4LzJzsK8TXgXrbVtv9SaFc6ELL5d3uiohkJtrjrqeFfPuEoWLrARmIhd4Kby8LhcfXM0G9FSHxqosS1qJQetLKJrcsSgmPrOgv+dPeC+mykzdSzbTCyTkX6aobejokSzKYvPs2BVKJxBph1AbsQdQnwukY7y5WbkJSpKRjUEShkoySUwn0eQxdF5HzV4E46VuzOWHLJjBumpEu3p9TPUwpEVc2gxiGiUoJw2EzGD7rH3ahSp6GDEb1IZ2qBOpid1nbRklDZwK7ZeVBRpnHSPBAwxhyKGFbDkn5DBlOnq76wHDYRp+7orLDQC1LWoo72pJDg2F4wumpqmkdQvKs3TPmcnIzOOrpsZdPu2QTAhmAhVZ9lOGwLPodeV0sbFIXOPyzLomE6smrre1DgiptzQCSxixtQSCHxjzk5ViDnR2Qxh+lPS37L1RUdnik4SoqMWcoI7S3QugKOjvjDQG5sOVMsqGeG3d6lhAeiahoURgSJeMgzHCPjtCvA/YWD0OraUh4r6jo1U8hSMNgm6fHhXpet6WR3B+kW0K/9wszaFvMjRZXNqJHDUv7h8fi5C+F0rmoQ23UG5dCS0jctHJBGHoJlf9ahMkXlqIMwzAu1NygIjiTYp3JjO4Jif4JuQ7+iZDeyZ/+SdEhkzOjToY03OdMbHW7wkRSdzhMYbBlkA8/Td4sZWKmnERsv8csM32Ca9BkWPckVu+k2nxcIk2IVZDMVLjCnjPJ0RuPksOjycbofPJ262XQxOKFycej+7ozPO+fkK3lARV+f34xTBiWzq+HPvlHTmNPPCI/59Y1SQn5yyEv+wj3MgzDXGtCNktkGIZhGIb55HJtVocxDMMwDMMsctgIYhiGYRhmScJGEMMwDMMwSxI2ghiGYRiGWZKwEcQwDMMwzJKEjSCGYRiGYZYkbAQxDMMwDLMkYSOIYRiGYZglCRtBDMMwDMMsSdgIYhiGYRhmScJGEMMwDMMwSxI2ghiGYRiGWZKwEcQwDMMwzJKEjSCGYRiGYZYkEY2gLLpru8XfxcnMyb3ovihC2bsXg1fUxY+Si93Ye3KmSHhmMNhKvzv/q8tlIttbK2XCfDJZNLq+UEReqa2ttV1vxBImUv5iGIYpTjQj6GIaA81J1KjTxYJTCFZu3w2kBrHqviTSz2gFKRWwUQtWiTD2WgeFeRKVgPvX7UTybD/gDY+RSjT27kZum9/IdIy7RYeqhGIROy0iECscZGyqyjbvylyJxo4jhSlC44L8dYW7Fi3HMuja5r5Wu5CGypVB7DXqvrkBRLrpfrfHufwiPwz3kNszgKajoxgdFa7VW8KUkL8C41FGStH/a00p+WsxxoNhrjOfsgTqOA8VcA1nkxjqbRRVtCiKeqnQtX9zU4f2Uz1oXKlOCSqEtnUho04lzSlPAUeFfz8SvW0Gw4oKzDSSo4XfZHg6XT4G0ISU9pwsGM4n1bvpnQ3oukA/GMItoUI3h50q3g70/v5betC2Tl3IY7if4n8A6HD5ob87DHf4ycjL3UfhdD9f1zGEnu1aCCmeojIpjkc+pUKF59s73WEohlEuCyNYLxU+vfNCutaCgY3teV33or/DJ3cvpeibR9ejUtANdcFHTL8D0zS+P7V7RJvEdb/JD3HNkNfcGO4ppkf0+zMJ9ISmu8BUTuUJSi9FUf2PV77Fv5+uCb1VZ8Go/B4aVzdkkPrLOYb5BENGkJHXDlvrv3XCmrbGrMPrD4u/XsR1+XuBsZ711vr1rdaJdy1rerDVOvyafZ2Ones2QX4qxLtbB3WfzYz16H4WsN9HYRGuR7zl3RNWqzh2wiPjRtd9+ONkE10GBL3fHf5p68S3/GENCr8NPUPvpHdrYZfX9fOFYPuVl5XmQuUfIX1sXQh3C4uDWabXEl2v9LDH1jf1e/4Zj/PLJTiddOd6jt6h3ukKn+60MNE95vQIz6synWUeUGEMylem9/ucNz0j5q8i8rRdSHmjsOUUQaeK6n+4zPzPx73fgFfHohDFX4b5hBNsBCn0AsdVaXsykCxAtExIhaOvUM4XaObCrQAVqAGFAmX2fMFWpMDK3+vxS6sgCLvwc/x0OycOuhyK3+8t1MwVti4j3X8bWwaHTYaSJ/wSWRGYZeb1uxD+IPmFVWgCz/t14zcMeq+5oi2FIhWHh7A0M4c9RAeDiKhvBYrlg2DCDWhBzAqu4B/J1SsfxwW8U+qe+D1IX6SfXlkGxz0srcz5S4PSIDAcQRTRdy9F9b9Yunp1K+79BiLHm2RXkGccHWGYTyJFjCB3YVMoKClTapneVwF7flfkn6f7ixT+5gpTD4/5HTp2YWooPMT7D5syv6dwc4fTLQtJyP307kIBQ2EtFDxO4VO4xxQX9YyxYDMVmkHysP2Jb3wY4utA8fTExQ09W/g90BXRgVA8YfC6aIW7HU7zvSYZh7MQfbOf9cRDvd+uZKM53aiOnuakIwFpLWXk/s0Y1gDnNlqUThvuMxpYmnwkdG7MXxp5Q1R3QXETxL2f8OieLxxaOINwpU/c+wVRdMIkn/CGF8MsPUKMIG/hZxdgpkzjz0z+gpPIZ+QImd7YsqHntGuUoYMzMYVBFAYmI0L4bXzOd134oYVTL0AIY7yd+11xdBso+eecOAbIw/u+Au5wOZgLNXNaRMHU20DvoALWHK7iBMepjASlrw7JPKz3StM1CrO3gvHHoRz6FgWVD3vEswYdcCjaU+QinhHkRxk3etxJt/Phc/wIeo87fzhEz1+Ekr+eBvl77N98fsn7DeGRumGOcyT994XNgJP3ibj3myj2u8Qjf1caMczSJHh12MU0ch07C5PxrgwjjTrg7DC86wkmL2eQuEWbJBiwmozuk6xMIGEf2dDEPe/KhnVJNF3K+d4F55p4pu+SCM/lSXnZS7a3BWhuUmduZt7OucOryJ4fMF53qNnchNzbhRBNXgaStwfcT3G8kEMhdOLcO9GS4ngsje5nupBoMU30rEOiSh1GoPKWBDJeeZS8sm8GuUvuMNMk4U50yJU8kSZP0iRZz2qglmN1yKU+4u0WKFxyomgG6ZcDVsdM5YSu9ckw960eslcv5V0K2OPegqA0fcsF648RmhDbgFzLKHpa27B7TRf6VRjkaq2g1UGm/FU2aFJvJ9DSTqWDQoSTJkfrk5c3JrBKHgygxaMTtSJOpkUD0fMXhUHIn1aZnSqEI5vPVzVoE2mW6OxXeudMNqa0NExGXtmIjo4c+jwrpyLrf9zybSHlYWxyyMkVkUJmqZyQlV5GMczSI8AIsjOIXgDZBUoPOurT6PQUDqtWF4o/goyJps3eooUqVadSr0FyTRrDanmy9Nt3v8BlRAiocBLvb6CCc5soxOpF0bHaLlpdiEquBSm0bVbnkcgifawJybDCbV2btiKE7vcYNldEAbMmoQp+KnidAnZSFDVOJWBjV4pCDs0DGLjUjp2G99a0BqxQIcMm/x4NZVTpxac5LYozc7ITXWs044mMTiHTyCvCyNBIJTDkMh7I7RaV1wDSJS/9pwrPW4l63J4BZDob5LFvCTCFS65eEmE5ajZaCJIb6u0Kzx9nkbbi2bxBXLK+OfpDcQo3DO0l6fZKNkdXalptY4ziKSvngBVR2WdEXrkvhg5QJZyXZ8gqJHmfMID2Cz3NG+uG1UyUL9ShvWLJqxNDaN+ofs4TI39d7Ee6fsg2TMigEMZCVshLpkk+X61CIv+OwrNk2Dh6oxu11KBwEUv/45ZvpZSHJOdC2OXq0KJGUiUa9yeRllsrNAiZJalp5iqXbLQ8ds2MZ4ZZHJiNINnrk8QmpwCiQl5V1JXbO5A82+naX4UKjIHzKrNo9+rYlerufKVeszmBLtrjgwoXoxGgF1oFKrf3qIKzAzhr6rkhA05UciFLZPM9UuLd3aqSnDnZ5+8xCTI2BHS/q6eMoN4Dk1HmKrztFq40Binu2hLvmZPdEfatofgFGTYkM6elR0Qw7Dw4lYLcIkGXYVDcApDGl7F3iyogT0uaKtPIe7vQvkreStTthjrq5HJ2OtYrLWlISMOsUEH7es4UNa0m46cA9e6oo5L0zdXTSvlNNzhd2BWS3QOREiaEjm2MQRhGHZ6wrlot2vxT6iSsx0tSicQaR2/E+w6I3H/KkScZKKr3RqsQpZ7QUvVRr6GuGScOQncyAfkoiFj5y8uFLrRc3u02CmWZ5qnwKf8Jw8aOJxmUhX2jfL3CMfU/bvkW737SiT4k8mkkHOmBiLdsIAoXuL+YaEj2qGc6hESM5ZuQVU4YlXRPStxTSHWG+QSihsU07PH9/Jg3jRv7xsft8XR9XLwwb8JzrxxfF9cNY8/2M3HmLjgY5iCYCBonl3HSw0rxUccUXvVM6Jwc537hlzPXIOh+mkdA1535BLYsyA877s5zxeZxOM9HnkcSFP88So5SFrYL9FumY4y0onfHmW9QNKxRMc8vkbrm9T/KXAwfjsy8eUIQFAe6LuXrPOMJY+RwCJ2R9xXSTaaX9N8dZ/d8Gn86S6e909FRX9ikntrhJhm2Dv5nX96XaPnGi9tvQzikM7+T4lYsf9n3m/yxcfKNMcweGdC7pK540yOu/gukPzGeiX6/N40EmpwIO61cMXBhy8SgwxItncqSJxlm8RK+OowK18DCuVCJmykUTOaCq0RUhRKWwfPQvREysbdwtQsj4QLiHu9+IQfDdbfB4xQ6pkJJK+BDwiN/j+AWlBayIjD7K51X1iqtTM6Ufl65RkevBIXzhMOp3Pz4K2Xv+/2yDdH5iPpmus+pqN2uoA/ucJjCYMsgH/4Qo8SICFNeRp50Dk0T7V6zjClcTjxI3iYdd1fqXj3Ixz2wLDKg617Icya5B5YtcfX/muLR+UCDxot6Lo4sGeYTzKfoj+oUYhiGYRiGWTJE/IAqwzAMwzDMJws2ghiGYRiGWZKwEcQwDMMwzJKEjSCGYRiGYZYkbAQxDMMwDLMkYSOIYRiGYZglCRtBDMMwDMMsSdgIYhiGYRhmScJGEMMwDMMwSxI2ghiGYRiGWZKwEcQwDMMwzJKEjSCGYRiGYZYkbAQxDMMwDLMkYSOoBKZen8CsOi4L8zlk35hXJwzDMAzDXA+WoBGURXdtt/hbGlMnu3DiwwSWq3PJmwN4oL4L6TiW0fwIuus34sjr4rgigRWXDuLIxRINoSuD2NubxczJvei+qK4xMZhF5vEtuPdYTp1H5GI39p6cQbZ3LwavqGtlYH60G1s2HylZRz+WLBodnsLggxux99SMOo+GrQOibGkdRLwnA5jNoKv+Xgy8qc4XzAwGW8urpwzzSWDxGkFUKJarQNGYOdmHXMdO1OTP96K2ttbtRGFsRITp4BtJ7FlXoS4olidwZ+sObHJZRsW4CWvveRRf/YJ9VvX1Jqw4Jiq+UDuICjKDAbeyEbvRh+HbdwMpr8ziG33Z3tpIFRHJjoyAxUjUONgsw4rbdqOtPqHOvQRUbut2Inm2H7gvifQzJgmXWPHctBb3fuerWKtOS4PSXemzDHshDo7RVi6DI54RWIoOl0Y8HXAQurDxYexYV6nOPSjD10uN1AFgZ30a/aZ3xi3Plq3AhuY2JFer8wWS7W1A1wVhWG3TyrlaU7qF6KwyVD8Kyt3QYBiHxd0TtCaBgKKoAGXMfKb2OnfGoUKx4WwSHdsrXRV4XccQRkdHbXe0SV7zM4+Rnwzg1n9bB48JJArwOjRtr/ZfD6OiGlsfbET1jer8BmFINUyh++SUuhAV28hBaw8aV9agrbcRlaKgLsigBQPiX4tLLo5T8nHdX4uWY8DAHv2+gvNWAIlbiqaQz/9gV3oP3cKoQPW2JtRVqdMoyEptGJt621AjKvCeVsesXjgVX9yKh436FNOo2tiOodEUbI2uURX0DHKXEkisnMHw2QSS6+SPC4D8U4clY9Bh9cv1pxJ1zfF0QZYlL2+SOlC5vQdtC5apgMqH5jpU3aDONeI2Puj+FqQKZZxwQx2izDpK8lY35ZlE7gLphzoNRTO0i7i8MRpgRBJx42U0csvoP7NEsBYT756wWtevt9aHusPWmLo9iOnBVnFfq3XiXXUhz7R14lvi+mviPd86Ic7se1sH6Ujx2mFrfY/hDXPD1sG7+qxxdXpNuHrOemzncestdeqHwm+If1CYBWM9JjkEM9az3jr8mjopAsku6r1+xqzDxjQqD3HiURwRVqUvOj7d8aH0rWxx1MJBaW7KH/lwOvfa/4/JPGG4v+Q0oPQz+We7YLnE1+FSKa8OKEQ4/XGLkM5Uthl0qBQKeTooDQphsctC0z2a08MVFk76LUIakdyD0j88z3h1g87DwmvHX0/jeP4zjGUtLiNIp6RCUWWa0Oco4xQygrGQMD2ffcK64/vD1pw6lXwwaZ0+1Gk99vAuqy/r+iWY34xb/YcOWoe/s8t65IVJddHhLev4zlbrtDcPB1V4wtkZPqAQVjIMKgh9hYVP5gH+KkqvZML9LQdRwzb3Wp/V+b1HrF2PnhahchNWgdh+u3XJT7x4zv2i3zp46LD1yDcesU57VYOIWAnZaBWkXqmJNKawhxnHpngvuGIpVYcXQCz9FHn53I8OWk8ceNDa9eSYO5/LsJnDnm+U+fKOh8hG0Jw1luq0Oql8OGO6O6K8CfHOw0K24Q0hoSdeI8iJBx0b40zOHIZwI8T+PTRNhBz9z3vC6IL0vBC/0vxnljJlN4JOnjxp1dfXS0fHJWMsNEMyf8T78wWCKiB8mTagMKP77kq5+4Emf9pnDf+G/LzD2vWcqdbyctU69+Rx660PRFGXOeiunCTT1uk/DSu4vYUBFQBBhbD2mweKiy+OssDzFpbhFVPcXiYHn8yvAVQBhlZKxNyrVv9zb6m4H7ReDbJj9YqBoHOVDuFxsSvPSHF975z1BIVFVILD3w94JlYB7ugK/S8Mn8BKvKBvUmbi3P+OsHhoOhkpD2r3SzQ9Dch7pRJJBxTjP3lC5mUrd9y6PyDfEJTeev4spH94XjHnLz9zL/dbx3O2v+sPveoxxgiv/IrjpGug0/0L0zFvPvCi5YsgihumhvgFvFcvy53fS/KfWdKUfU5Qb28v3nvvPenoOD5qnHnPANCsxrFPtaNOzm9IIi1+c4/rOvcDKW3M234ugb78PBOaT0HzXdTkwG1dGDg7jEn5W3Gu/sM0EpUr1Bkxi+nP1WHDsizSzyewtTbCJIL5aaxI3o3EDUBuYhgVX/LOeapEVdhEyItpDLjmSa1CYqM6XJdE07G0iivJpAUDGxPiDh1bBg2Xd2NUn8NC81uEPDLqlMbO7bF872TKOHN2guav2HNRdm+/lrM+RJocq0PdJUceAbw7j8TmBGZeTiNzTx1uDZjURb9jtSbJlQk4U6grb08CQo+MMw2uDCONuuDfNeZnVuCr28nXHCYuVKA64ZfPzNu5aHOwfCSws9eeB6LPf0s116H91Gh+DktNq329x5c2lWjc326Ox5Ucco5Ormsr5L28a8svQpBE1uGFElEHJDOYu+1PUHejyNWXspjYvNaTbxxId4U0taxeeUteE7CpHki/bE5pqUMinkG/O0x/mMBXV9N7MthRd6t/Xpgu78jY6exPG3LOnLGFQ3FMtCx0PpfQB5FrhrVyQ/q7OWTOXaw5eX7/maXNIpsYTRVnC3BUZE4yfNTV7DNdKnPVoE1k2kRnvyrYqLJPIykzs6ewJUTm6OjIoU8aTaIgFxUBZXyn8B/tbZSFXaazQVXywpHxZWD2Pe/y6eWo2VgNjJ7Bs19oxKYoqzgqEqj5IhVrMxh/bQp318Rb/0OVYFNgYUCViSggRebO9vYhcVTJzzUpmYwace1YS/4aGZTZZ4QMTw2hXVVGNLnTLiDpml6AGmQchDQAkthkmngpiiFzJVMmqKJt3o2OeiftA/i8qCRXTuHcz0awY8uGwIntk5eB5O0BRTsZRBdyRmNaVnz1Hdi9psu8Ykij4gs1qKYAXBnH2NTduFWoVjhC94utNrrQhQY5MV4gDN1OWhRw+3B+lVJN627ktkU0bDXDT6doBeUhqg4vmKg6IBEly5ft9M29kUb1V6oDKnLSXZNO25BBlLls1ARpPCX379bKLjNVIr9VvnMOgxd3YEttkEYWiLZqyrsqTHdKP8oA5RPdQDSxarVTqtv4w28bk7n8+pAs+jujT+CP7z+z1Cm7EdTa2oqbb75ZOjqOxcV+pOuH7JYpFbqXcsiqlQ2FFRday1EaRXbFTCsFnIytrxgotNQE+sqBqcJyzyirw1ZVbVBHOvMYeelZrP36JlRdySDzjrpcjPlx0dqvQ/UafyE394E68OFvhboNCjLy7NUeNbTKxrnP1Tr3GjV2q1/eH2k1SHRsA2CTuTIJMBrKgzAO9uTQfh+t1KFKpzO8krg8jME378aW2yDSJGvYBJN6FDyrZVyt8YIOuiCjQxTe1ONVc187cnuiGRvzlyaQEcb12iL1H231gLBWN4VR9qRSSz+H/gOi+q5Po4F6/KRxZFeA6EigL8KyZ7m1hC893TpZvEKOrsMLI6YO5MlhfBTYUG0y9wS+XiwRI713jvKaoUdi5mQnutbslivfdopGWUsReecuDGL8ri24FUIXLoZsPiZ0rA/krzoPpISeIOod9oZzSjQE9R5RH5mixgX1nObOK38p/JfMRmXubbucdm9pQo3eQjlPq1i9xPWfYcpuBN1111148cUXpaPjBSEK6xbf0A31MHh6EmRh4CwBTQF7CoVx9vxAvpByFVhVtpEVtTKuuHG5oZU3jpHn69C4uUpkvBwqPkfXZnCm4wE89OOsMJECeGMEJ6puxVpf5pzB1OVqVH1WneoIA9EuSNU5UVLXePlYtTqoRWW33sxDXjVINg8gHdozQoVdKcvlnZ5EpyIVBsqpJNIhvR0zWVFw37MVGz4YQebdFe5NMAXefaUkRSsDEf5t1LumjCPqrj8qbJYI+8SMj55A1W1rjWlKBr1eeA84hb0JVxhpOKwNjdTDR0a+Gmam4THcUmwowa54nK0lXFBezOukMBYDKpw8sXT4+ulAnitZZN5Iokbt3eVG+JuyDSudor0fouFFshtSMqZe1pRo1gUv1Z5BNpPDjq+JRtdoBtOVHo1UjcP805GGD2P0BIlyUTYMDgj99cRVL0tN1GxuCtdJYuUmJC/1yfK50MPvJt9wFeW67L2Uekfp2oeEZsylmlW89HwVx3+GESyu4bB1SdFqc4amlMJrBbScqyJassZx53zBQK0tyLF36h1qudSOnaoXyV1gicJRDYdFYfmaGlRfnipkNskqrK2fReYnh5BZswMbZOt9DnOiYB97elSYSGZyEyNAfS18Ix4fvoXcxQ1Y+3l1nkcrgLUWmuxtCa2MS0Fvbfk3WNMLb9nq0gxOCYWPehiOBg+d1bSSoerfc6gAVVwJ9MXZXE6GuwG5lsIcFwkZIHJumHnjvOUJYYxODOLQj2exdbu3NtOMOa0XMbQykPEn3fX0aFAvQUsODcYN6hzsnojkbcFjYY4h7lSmTroUnF3Zm+cPCRmpHhJi8rIzC8xNYU4YOZUPDXv3yEpGH9oK7eGLq8PXTwcc7F64DbjVtOmpZsAVerwMvYQaUo6pBIY8sqO5V7svi3LOGLflSNSsxcQLh3B0disafWWBwJGzY1zn06rg9HjWtKqhbjmv0jEi7B4g2Quuh4+MrGNdPmOV4qKXpUaEjkudDE0zml9GRqkom109/BrCHzkvjeJn0Dsb2p9K9XBRvsr3WsXwn2EINUF68aKvOAmZ1S9XU+grHoQLWuXgrCowPeM4/7PjVt9dB63hiCvhx37SL54wYa8Ae+zFq+pcY6LPusewIqSwAsWmEO7gVSzelRrFnymyuiUI34qgkDC5sFcchT3njXcgMgzF3mu/L3zliBvvSpP8KpsAPZQyLrryhFZDBch5+rTVuv4x65xBNWyirmyhuAp5kA6o8Nr7BCkZ5dMsaloZMK0E8ukCuUJei63DguupA2NP3uFbAWpDaab7Ted2/Mxhs99TNNwU5kjp6Sb6qkwnnMH359MhHw4Ku/t+qfcxVu0V0tZ2cfJcKI4+KxdJLximCJ+iP8oeYopAraGDyw7gUEOR72N8OIGB40DT/U6Lfhbpzgbsq/ghLtw3iQebL+Ohs/tUz1GBiaMtyGwWbakvqgvMJ5/ZNLq+vg/LfnAB977zIB54+yH8zSPBk7SZ8pI7di/ufelenHxiFQa29mH10ynsMPW+MAzziWSRrQ5b3FR+/VHUjT5X5PteomAdGkHN3fqQxjKsqEqg6p3T2P/U3+Ohn/kNIJqo/ez7bWhiA2hpsWwFVv3LKuRe2I8nZx/Cz7/NBtD15KbPJbB8LoMjnRlU//gpNoAYZonBPUFxeT+LgeeBHc015aus5icw8FQOyW9uNX4riGEYhmGY8sNGEMMwDMMwSxIeDmMYhmEYZknCRhDDMAzDMEsSNoJKYOr1CcPOwgtgPofsG0VmWzMMwzAMU1aWoBFU6k60NlMnu3Diw4R7Z+E3B/BAfRfScSyj+RF012/EkdfFcUUCKy4dxJGLJRpCavM5WsIfthkcE8QsMo9vwb3Hcuo8ImoDxWjfb4rO/Gg3tmw+UrKO+iD9iLXp4EfAotHhKQw+uBF7T8WTlq0Domwpl5xnM+iqvxcDb6pzhmGuCYvXCLpGBbf3MwhyV1fvjqv53Uc9iDAdfCOJPes868KWJ3Bn6w5sKrJ9kJubsPaeR/FVtUV/1debsOKYqPhC7SDaOt5gwK1sxG70Yfj23UDKK7P4Rh/ttB2lIiLZBe/6/NESNQ42y7Ditt1oqw/aTj+gclu3E8mz/cB9SaSfMUmY0qsEA+mmtbj3O19FvM/rBiHC7vpemHKm+ITkuTDjJJ4RWIoOl0Y8HXAQurDxYexYF7CjsP79QY0aqQPAzvq0+WO5ccuzZSuwobkNySgfZg6h8E1FO43yaeXEQxmfi51yNzQYxmFx9wRF+S4WZWK9cHc5d8ahAsH5BpJegUf5gKpon2PkJwO49d/W+ZfGr6xD0/bqeEvmK6qx9cFGVN+ozm8QhlTDFLpPxv28sW3kQH4E1f4USKUo4AoyoG8DDRi31s/Lx3W//WHCgT36fQXnrQDCviWUx+N/sCu9h25hVKB6WxPqwr4B5UVWasPY1NuGGtreP/T7W/Go+OJWPGzUp7hGFd1PnzBxPpVAjj6h0ISU6XMEUzlkYn+Ljj5foA5LxqDD6pfrTyXqmuPpgixLXt4kdYA+Z2L8VENcqHxorjNumRGv8WF/WiLVbJ/Zxlo2/1kV+myJ69MnsaB0M+Vjv8sbowFGJBG3UWU0csvoP7NEoCXyiwbPtuhmV3yrf3vbdtNW8WpL+NcKW/77tuWnrexNW8TPDVsH7+oL+BRGmbh6znps53HrLXXqR30OQZ3lCQqzIPoW+zbeT0WEQbIrfUv8kM9HlIE48SiO+XMVPt3x4f8EwcLQwmH8RIVwrs8fGH73OD38YfHxp3Xh0xEmFyyX+DpcKuXVAYUIpz9uEdLZ9JmREink6aA0KITFuVf+T+We8f7yfoKC5B6mR9F1I0CH83K046+ncTz/GcayFu+3w0oqFFWmCX2OMk4hI1Cm8WUy0/PZJ6w7vj/s/q7XB5PW6UOd1mMP77L6shE/Kvabcav/0EHr8Hd2WY+8MKkuOrxlHd/Zap325uGgCk84O8MHFMJKhsY45p/V8Mk8wF9F6ZVMuL/lIGrY5l7rszq/94i169HTIlRuguRGzvbbrUt+4sVz7hf91sFDh61HvvGIddqrGgRVpBHzxPTgYfFeEb6witdToVN8HZmFxd2vIxEqllJ1eAHE0k+Rl8/96KD1xIEHrV1Pjnm+30dhM4fd9T22sLSJbATNWWOpTquTyoczprsjyltBMrDDqctW6AWF1ZP+LkwN0gjhJ70J9FOg65gRY5jC9JjyYCFupfnPLGXKbgSdPHnSqq+vl46OS8ZYaIZk/oj351tRIpMfFpnBl2nJH0NhRvd5P644+dM+a/g35Ocd1q7nTLWWl6vWuSePW299IIq6zEFDoWJ/XDU4E3sLAyoAggph7TcPFBdfHGWh562EwiumuL1MDj6ZXwNk4R9WKRFzr1r9z72l4n7QejXIjqXfdb/oXKVDeFzsyjNSXN87Zz1BYRGV4PD3A56JXYCTDnjzhNvp/oWlJ8XTrJeaTkbKg3F0eGFE0gHF+E+ekHnZyh237g/IN4RXDoX0L2LEGfOXn7mX+63jOdvf9YaPKfvlF47eE3RYOH/6KOfIyUlDwztkmMLereWLIIobpob4efOfQi/Lnd9L8p9Z0pR9TlBvby/ee+896eg4Pmqcec8A0Jyy5zGcakfdxnYMjSaRFr+5x3Wd+4FUft6DcqcS6MvPM6H5ETTfJYOubeL+bV0YODuMSflbca7+wzQSlSvUGTGL6c/VYcOyLNLPJ7C1NsIkgvlprEjejcQNQG5iGBVf8s6/qERV2ETIi2kMuOZsrEJiozpcl0TTsbSKK8mkBQMbE+IOHVsGDZd3Y1Sfw0LzW2jyrDqlsXN7LL8BXReUvOR5nDk7QfNXZjB8NoHd26/lrA+RJsfqUHfJkUcA784jsTkh50Vk7qnDrQGTuuh3rNYkuTIBZwp15e1JQOiRcabBlWGkURf8u8b8zAp8dTv5msPEhQpUJ/zyceZxxELmG0++cFzg/LcYXMkh5+jkujbDe9ryixAkkXV4oUTUAckM5m77E9TdKHL1pSwmNq/15BsH0l0goWX1ylvymoBN9UD65YD5KKRDIp5BvztMf5jAV1fTezLYUXerf16YLu+YJO7r0cpSlT5CB+ScSKc8cNLQMC+rcnsH2oVGDwfMSZPzi1oWOp9L6IPnHUXnLcWak+f3n1naLLKJ0dpETsqs6mr2mS6VuWrQNppCorNfFWxU2aeRNBW2hMgcHR059EmjqRKNvXbGTzXbkwUpo1Nhl+lsUJW8cGR8GZh9z7t8ejlqNlYDo2fw7BcasSnKKo6KBGq+SMXaDMZfm8LdNfHW/1Al2BRYGFBlIgpIkbmzvX1IHFXyc01KJqNGXDvWkr9GBmX2GSHDUzRhlh6gwk4UllKmdE3JKkjGQUgDIIlNK9V5nklRzXuNszJDFW3zbnTUO2kfwOdFJblyCud+NoIdW4I/XDp5GUjeHlC0k0F0IWc0pmXFV9+B3Wu6zCuGNCq+UINqCsCVcYxN3Y1b9e/vGhG6H2W1kXdVmO4CdD0ORSsoD1F1eMFE1QGJKFm+bKdv7o00qr9SHVCRk+6adNqGDKLMZaMmSOMpuX+3VnaZqRL5rfKdcxi8uANbaoM0skDxVVN2I4YWO1A4Bg+IXLl/E4adBoowenZfboi4iq4SiTXq0ADlE91ANLFqtVOq2/jDbxuTufz6kCz6OxNIRpxsHt9/ZqlTdiOotbUVN998s3R0HIuL/UjXD9mrK6hyuZRD9uRetCClrbjQWo7SKLIr5sJSUPeKgUJLTaCvHJgqLA2NsjpsVdUGdaQzj5GXnsXar29C1ZUMMu+oy8WYHxet/TpUr/EXcnMfqAMf/lao26AgI49W1wip0Cob5z5X69xr1IyiZ7uoAOSqHHV/mbANgE3myiTAaCgPwjjYk0P7fbRShyqdzvBK4vIwBt+8G1tug0iTrGETTOpRELqoy8fVGi/ooIsrg+gUhTf1eNXc147cnmi9aPOXJpARxvXaIvUfbfWAKK3uEnqCqCfQWymaKzi3ThavkKPr8MKIqQN5chgfBTZUB2yV4OvFEjHSe+corxl6JGZOdqJrzW658m2naJS1FFmSnrswiPG7tuBWCF24GLL5mNCxPpC/6twHrdxrkj3ktDos90wncvVJpLe5e3hb0I5EKoJ+0vsuBRuBZHAVMy6o5zR3Xr0pxL/c23Y57d7ShBq9hXLeNuzcxPWfYcpuBN1111148cUXpaPjBSFasS2+oRvqYfD0JMjCQA2djaaAPYXCOHt+IF9IuQqsKtvIiloZV9y43NDKG8fI83Vo3FwlMl4OFZ+jazM40/EAHvpxVphIAbwxghNVt2KtL3POYOpyNao+q051hIFoF6TqnFhA13g5WLVaFCbGQs9uvZmHvGqQbB5AOrTlSYVdKcvlnZ5EpyIVBsopKvSD/ZrJioL7nq3Y8MEIMu+ucG+CKfDuKyWZyrmHx3yI8G+j3jVlHFF3/VFhs0TouRkfPYGq29Ya05QMer3wHnAK+zBi9ATJ9HxZGG9nk9jpankbDEGC8mJeJ8U9oRWkIJYOXz8dyHMli8wbSdSovbvcCH9TtmGlU7T3QzS8aFuOIVWGUS9rSpgdwUu1Z5DN5LDja6LRNZrBdKVHI1XjMP906PChu9eVhsPatgtdFGVkk/gnpw/IHveEMD7De3llI5N0en+w4V2zuam4Tq7chOSlPlk+F3r43eQbrqJcJ12kLU3sdO1DQmvApZqVIafnqzj+M4xgcQ2HrUuKVpszNKUUXjOA5FyVbWbFRr5goNYW5Ng7ZdyWS+35At1dYInCUQ2HRWH5mhpUX54qZDbJKqytn0XmJ4eQWbMDG2TrfQ5zomAfe3pUmEhmchMjQH0tfCMeH76F3MUNWPt5dZ5HK4BFweD0YMneltDKuBT01pZ3TpB7PpZsdWkGp4TCV0uVUHChWtNKhqp/z6ECVHEl0BdnczkZ7gbkWkbd+7SQASLnhpk3zlueEMboxCAO/XgWW7d7azPNmNN6EXXD2oeMP+mup0eDeglacsIgCestsXsikrcFj4U5hrhTmTrpUnB6ZU9ytIdF/b2ddo8g9QQ6UOUw0OnNX7ZR4TMEBbKS0Ye2Qnv44urw9dMBB7sXbgNuNW16qhlwhR6vAONQIcurVAJDnvk1Na2jcgjKuGGlMMMTNWsx8cIhHJ3dikZfWSBw5OwY1z4dUPEMMDCzvVp60t5Q8qoHqccF//pWk/4U6aUTOi51MjTNKtG4n4xS6oHSe/g1hD9SLyl+gXtGUS+X6tWmfJXvXYvhP8MQaoL04kVfcRIyq1+uXHDuUy5oJY2zqsD0jOP8z45bfXcdtIYjroQf+0m/eMKEvQLssRevqnONiT7rHsOKkMIKFJtCuINXsXhXahR/psjqliB8K4JCwuTCXjkV9pw33oHIMBR7r/2+8JUjbrwrTeRqIwprgB5KGRddeUKroQLkPH3aal3/mHXOoBo2MVa2hKzysSnIPy9j3+oeCmuAzEwrgXy6QK6Q12LrsOB66sDYk3f4VoDakBx0v225UPjNYbPfUzTcFOao6akRtopPh2R3+DUnncUzap8gO/6FOMTJE1EopG2Z/Sed0/yNpBcMU4RP0R9lDzFFoJbdwWUHcKihyPcxPpzAwHGg6X6nRT+LdGcD9lX8EBfum8SDzZfx0Nl9queowMTRFmQ2i7bUF9UF5pPPbBpdX9+HZT+4gHvfeRAPvP0Q/uaR4EnaTHnJHbsX9750L04+sQoDW/uw+ukUdph6XxiG+USyyFaHLW4qv/4o6kafK/J9L1GwDo2g5m59SGMZVlQlUPXOaex/6u/x0M/8BhBN1H72/TY0sQG0tFi2Aqv+ZRVyL+zHk7MP4effZgPoenLT5xJYPpfBkc4Mqn/8FBtADLPE4J6guLyfxcDzwI7mmvJVVvMTGHgqh+Q3txq/FcQwDMMwTPlhI4hhGIZhmCUJD4cxDMMwDLMkYSOoBKZenzBsqrcA5nPIvlFkohHDMAzDMGVlCRpBpW7CZjN1sgsnPky4N9V7cwAP1HchHccymh9Bd/1GHHldHFcksOLSQRy5WKIhpPZdMe30y0RhFpnHt+DeY95PoxRB7R1UfKfkeMyPdmPL5iMl6yhjYNHkkSkMPrgRe09F3/2IsHVMlF2x9k0KYTaDrvp7MfCmOmeYJcriNYKo0CpXhtfw7gAsNzTTNgWTLr/xlgcRpoNvJLFnnWdK9PIE7mzdgU1FVs67uQlr73kUX1W701Z9vQkrjomKL9QOoo3rDAbcykbsRh+Gb98NpLwyi2/00SaTUSoKkl3whocfLVHjYLMMK27bjbb6oJ1kAyqfdTuRPNsP3JdE+hmThCm9SjCQblqLe7/zVcT7spwXSnePXnt0u6iMouZB130h+hbiX5hxEs/ILCWPlEY8HXMQurbxYexYF7BZn/5pH40aqWPAzvq0+Tt0ccvLZSuwobkNySjfPAyBZODTMT39RXwCy1NJ1Dzivi9Y9iH+kYxCw3LtKHdDiSkfi7snKMonIUixfZnQcW7Fo4xDW9jTNux6BR7l22GifY6Rnwzg1n9b518VtrIOTdur460Wq6jG1gcbUX2jOr9BGFINU+g+GffLfnalA/n9L3sX7EoqePIyaMGA+GfaVTYvH9f99jd5Bvbo9xWct4CO9FVzj//BLp6xVj4qUL2tCXVhnz/wIiudYWyizw3QzraRv2JdnIovbsXDRn2KY1QJXXB0uqhuBxDycdgCIkwH9M8piPfSLsamyoZ2J479mRfaGVgdlowhj6hfrj+VqGuOp2uyrHp5k9Qx2incuAtyXKj8aa4zrkaN07ih3a9dOiY/yREH+ihr8W+O0ffX0vUd+R2r7V3nTeXFJHIXgnfxdhPQUDC4vMEVYKQScRuFRkOujP4zEaHVYYsGz46gZldsV1hnx1LTrqq0e6raOVXt1OrbkZZ2ce0xvGFu2Dp4V1/ALtBl4uo567Gdx6231KkfCr8h/kFhFkTdXdbBu0tyGPaOtOokNrRjbbywxSFOPIojwmrY2denOz6UvpUtjlo4jLszCxe2A7FHT7wy8u70a3Le+JIfJhmYrofJy69LhR2NTS5Y7vHzSKmUV8cUIpz+uEXQI9MO3iVSKDOC0iAsLPSMJn+v3KOU8d54kB+muJmuh8mBfougA0E6TYTnea/u0XlY/Gz5evNgbN1mFsTi/WxGSYWWUrrQ59yZ1Fjwm57PPmHd8f1h9yctPpi0Th/qtB57eJfVl434PY3fjFv9hw5ah7+zy3rkhUl10eEt6/jOVuu0Nw+QLLxhVM7OMAGFpJKhMY75ZzV8Mg/wV1F6JRDubzmIGra51/qszu89Yu169LQIlZsguZGz/fYU+D7ixXPuF/3WwUOHrUe+8Yh12qsaRMRC3IFk4Au79nwkGQmdMBfKdl4LL7Ddv5M8nfeFydavgxEK/lLzyAKIpf+irDj3o4PWEwcetHY9Oeb5NI4tK1PY840+X970ENkImrPGUp1WJ5U/Z4LSNUZFa5S79nyxcEtEPgoIu9STkHj5ftfzCB37wuY4cxzJv2Cdtn8PTXNjfgmOn/xNMypL859ZCGU3gk6ePGnV19dLR8clUyxzeYl4f76VIzLIYaFMPqUPyLR0n/e7QpM/7bOGf0N+3mHtes5Ua3m5ap178rj11geiKMocNGRu+7tiwZnAm5m0StgXbu03DxQXXxxlgeGtJMIrjri9TA4+mV8DpAFQrPCde9Xqf+4tFfeD1qtBdqxesBJ0rtIhPC525RYpru+ds56gsIhKavj7Ac/EKgCLV/ruSjysItadrVP0bOvgWPgzQkYn5H12mMP0heRo1ntN5yPl8Th5ZGFE0jHF+E+ekGWFlTtu3R+QLwmvHAr6VSQ9jfnXz9zL/dbxnO3vesN3Cv3yCydc/wUemcv3+tLQ76QM6FkRlrHQZ0ScB+37HB0JDI83H3vR8nUQxQ1fg/wC3qvXRc7vJfnPLIiyzwnq7e3Fe++9Jx0dx0eN0+4ZAJpT9jgzfQl7YzuGRpNIi9/c46LO/UDKNTZNz9GXo51xY5pPQfNd1FfRt3Vh4OxwkfkOBa7+wzQSlSvUGTGL6c/VYcOyLNLPJ7C1NsIg//w0ViTvRuIG+pL8MCq+5J0fUYmqsImKF9MYcM2pWIXERnW4LommY2kVV5JJCwY2Jjxfybdl0HB5t+vr/HJ+i5CH8zVpGnu2x8K9X5GPM2cnaP7KDIbPqi+zXzPo6951qLvkyCOAd+eR2JyQXzLP3FOHWwMmdfm+dE5zZdQhfUkfQo+MI/VXhpGmb7gH/a4xP7MCX91OvuYwcaEC1Qm/fGbezkWbg5VHT7tiaViJxl5P/lFuqEPIMj9vrk0uKqC5ID3ba/LPuO8RTn29fpO8bwFprX8Jnb7E7/ifd3Z48kTOIwsloo5JZjB325+g7kZRalzKYmLzWk++dKC8ASS0ooS+7K+OsKkeSL8cMF+EdFTEM+h3h+kPE/jqanpPBjvqbvXPOwv48nwYmc4Gj44FTxinOU3+NBQuX8bb53LeE6V3byNqnGc894yODqGd0vZ2+74FaJmEZJhoWag/Qt9Erh/Wyj3p7+aQOYOx5hT6/WcWxiKbGE0VZwtwVCm8upp9pkspJ032TCHR2a8KHqrs00jKDOEpDAmhXB0dOfRJo6lQyKea69B+ShyLjEOFkSsTk/FlYPY97/Lp5ajZWA2MnsGzX2jEpiirLCoSqPkiFTszGH9tCnfXxFv/Q5VgU2BmosJeFGAic2R7+5A4quTnmpRMRo24dqwlf40MyuwzQoanVIEiKBRUdE3JKkjGQUgDIIlNvgmKk6Ka9xpnZYYqwubd6Kh30j6Az4tKbOUUzv1sBDu2BH+za/IykLw9oGgMmTwsK6b6Duxe02Ve0aNR8YUaVFMAroxjbOpu3Kp/es6I0P3Q1UAkZ73CIBdh0qphoUFDp7h+tjN0Qvbk5UxMAy0aRSsQD1HzyIKJqmMSUXJ92ZZN7o00qr9SHVDRUpqZ8owNGUSZy0ZNk8ZTcv9urWw0UyXyc+U75zB4cQe21AZpfIFiq5oobxTKB9ulmtWPgdiNMV3HqFEqTDh0hsmypIn10aG46AaoiVWrnVrJxi8f21gtTPTOor8zgWTEyezx/WcWStmNoNbWVtx8883S0XEsLvYjXT9ktwKocrmUQ/bkXrQgpa2I0Fp20iiyK2Z9qabeCim0pAT6zPupwnLJKKvDVlVtUEc68xh56Vms/fomVF3JIPOOulyM+XHR2q9D9Rp/ITT3gTrw4W8l2oWmY1CQkUerX6iVLv537nO1nr1Gjd1Kl/dHWk0RHdsA2GQusIquOFoIwjjYI6r/+2glDVUK4ZU3Lg9j8M27seU2iDTJGjbBpBa/Z7WJq7Vc0EEXwpjoFIUf9XjV3NeOnHEli5/5SxPICON6bZH6ibZ6QGirtYRVULJHMIfdeX1xXIeomjMhvQwkoyZ/QR9QYVFPo7enwFwBuXW++DLj6HlkYcTUsTw5jI8CG6oDtmLw9WKJGOm9f5SXDT0GtHKqa81uufJtp2j0GVfmaeQuDGL8ri24FULXLoZsbib0oQ/krzo3EL/sIAOoAbkWr46NCoNSNEhDek2z5wcMBm7ASjDSZa8chBHl6tH1UXyVGvX85s4rf0k+l8xGa+5tOxbuLVmo0V6op2gVrpe4/jMLp+xG0F133YUXX3xROjpeEBe60OIbuqEeBk9PgsysauhMtHaxp1BYUsZxChFXgVJlG1lRK+OKG5cbWmHjGHm+Do2bq4Ti5lDxObo2gzMdD+ChH2eFiRTAGyM4UXUr1vqUewZTl6tR9Vl1qiMMRLugU+dECV3X5WTV6qAWid36MQ951SDZPIB0aM8IFRZxht4cnJ5Ep2AWhsCpJNLbgv2ayYqC756t2PDBCDLvrnBvginw7islKVqYivBvo941ZRxRdzctG4+wj8v46AlU3bbWmKZk0OuF34BTWEaF9MU3RFpAGq7euErsXtSgYS2S0UBz0icjZ3jVQerLy8I4PJvETpfBZDA0CcrreZ0X9wRUCHli5ZHrp2N5rmSReUPISe0N5kb4m7INK52ivROiYUfbfgypMpJ6cVOi2Ri8lHoG2UwOO74mGnWjGUxXejReNT7zT8cePqQtDeqCwyzL73ZP+tvIHuggw53KeJ+hLQxc6tnWEeW6bNgcEPnPI0u9LjBRs7mpeJ5auQnJS32yfimMULjJN7xFmEnXaUsWW2/6kNAaoKlmNVytlwtx/GfKwuIaDluXFK0qZ2hKKYxmAMm5KtvMioF8xqXWEGSrlXqHWi4VMpy7QLFbymFVmc7yNTWovjxVUFbJKqytn0XmJ4eQWbMDG2TrfQ5zouAde3pUmEhmchMjQH0tfCMeH76F3MUNWPt5dZ5HKyBFxnJaOLLSCq2MS0FvrXjnBLnnY8lWi2ZwSih8tVRJBA+d2Xt8+PccKkAVSwJ9cTZ/k+G2W5iufVTIAJFzw8zzFJYnhDE6MYhDP57F1u3eklsz5rRexNDCVMafdNfTQqZWfEsODZ69q9zYPQXJ24LHwhxD3KnsnHQpuJDKuMhwgpzfVGQ4xYuz95ZTCTuQjOo8ukmF90CnN//aRoXP0BTISkBv+Yf2IMbNI9dPxxzsXr4NuNW0qapmwBV6vAKMQ4UsD1MJDHkMB5qvtfuyKEeNcVuORM1aTLxwCEdnt6LRV9YIHDk7xrtPx8LiSYZJcJhlJY/iw8MuaEhfb1Q4UM+Z16gnI+5Yl88YJlnpdYERkUdlngrVCdEg2E9Gr6hbXCMUGsIf2WAg+QX2xtrGouyVp3Ih32sVw3+mPKgJ0osXfUVIyKx406qDoFUCzqz8sJUK/mfHrb67DlrDEVfCj/2kXzxhwl4B9tiLV9W5xkSfdY9hxYZ3BUYh3MGrTLwrHYo/U3w1kRE9fYqFyYV3NZL/OW+8A5FhKPZe+33hKy/ceFdqyNVAFNYAPZQyLrpyg1YrBch5+rTVuv4x65xBNWxKWRlC73Nk7H6vcSUK6U3+fo/TV7io+1zP68+awunRSSdsxjTx3Svw6Rq5Ql6OnUcE11PHxp68w7fC1IbkoPtdSDNz2Oz3FA03hTm2vpBexC8H8nnDG2YKg29llDfv606Xg7rP9bz+rCmc9Ltfz6Ou4iMKumO7oPSMjSdvRdI75przKfqj7CGmCNSaOLjsAA41FPk+xocTGDgONN3vtOhnke5swL6KH+LCfZN4sPkyHjq7T/UcFZg42oLMZtEW+aK6wHzymU2j6+v7sOwHF3DvOw/igbcfwt88EjxJm/l4kTt2L+596V6cfGIVBrb2YfXTKeww9b4wDPORsMhWhy1uKr/+KOpGnyvyfS9R8A2NoOZufUhjGVZUJVD1zmnsf+rv8dDP/AYQTdR+9v02NLEBtLRYtgKr/mUVci/sx5OzD+Hn32YD6JPETZ9LYPlcBkc6M6j+8VNsADHMIoN7guLyfhYDzwM7mmvKV1nNT2DgqRyS39xq/JYPwzAMwzDlh40ghmEYhmGWJDwcxjAMwzDMkoSNIIZhGIZhliRsBDEMwzAMsyRhI4hhGIZhmCUJG0EMwzAMwyxJ2AhiGIZhGGZJwkYQwzAMwzBLEjaCGIZhGIZZkrARxDAMwzDMkoSNIIZhGIZhliRsBDEMwzAMsyRhI4hhGIZhmCUJG0EMwzAMwyxJ2AhiGIZhGGZJwkYQwzAMwzBLEjaCGIZhGIZZkrARxDAMwzDMkoSNIIZhGIZhliRsBDEMwzAMsyRhI4hhGIZhmCUJG0EMwzAMwyxJ2AhiGIZhGGZJwkYQwzAMwzBLEjaCGIZhGIZZkrARxDAMwzDMkoSNIIZhGIZhliRsBDEMwzAMsyRhI4hhGIZhmCVJNCPoYjdqa2uF60ZWXTKR7aV7hOv13PVhDs9+swX7j51B7tfqGvHhCLprN6Lh/gcw8Lq6xjAMwzAMcx0INoLez6BLGDRb7j+CkffUNR8zGGy1DZ/ui+qSgdmX+tD9ShZnXroKLFcXiXdyGME8Zn6ZQNVqdY1hGIZhGOY6EGgE5X7eh0Hx/+wvU3jokQH7IgbQInuEbLf35KS6bmb2onj2z/dif+cZYerUYN93dwDPP4SHegeRvSJ+v5TFhLzzDPZtKfjruDDDimEYhmEYZiGYjaCpQXQ/ETbwFY3ln/1dzJ3NIPN+Beo6DmDHZ9Poe2IEI8cGMf7+PLKjZ9SdDMMwDMMw1xeDETSP3OgIplGB6gdTuDA6itGjTeq3JqToXLme7avU9QBW78CBx+rEwTymLudw5qn9OPM+UPNIO3ZUjSDzPN1UjX3PF/wcHU2JtzAMwzAMw1xbDEZQBW7CLCben8fEUy3YSENTe8zDYbW9w+p6MFXbH0X7RiB3bC/2Pz8PbGzHgXsSmH1pEM/SDV9uxCaeD8QwDMMwzHUmeGJ0ubihCo0tLaik4xvr0P7njai6AVh+271o25IQ11/C/m8+iyl5M8MwDMMwzPXBaARVbu/RhqeECxgOG23dpK6HMJ/FkQMpzKACO37wQyTfOYIHtt2L7qlb0dTxEDa8PoLsKwM484a6n2EYhmEY5joQ0BOURbc+7BUwHFZsdZjcN2hjC1KX6Wwez7ZuxJZvpjBxJYeBZ9KYXb4JjX9SIX6bwtGzC5+IzTAMwzAME5VrOhy2ajVNijaxHImpLEZmKnBr3d3yyvzzZzAyLw8ZhmEYhmGuOUWNoKaj/uGwVLM6LYI+rOY8U9cxJM5fwnPH9iFZCVTU1mEH/fD+Cbz0GltBDMMwDMNcH67txGj5WYxa1H77TGHi89Qg9tfXYuNTaviroga1/6YGW/c8iq1raGjMoQ6JKnXIMAzDMAxTZkoyguY+UAdYhcZeu6enbZ26pCM/iwFUfTmBvD3zuUqsmAfmL+aUYbQcycdSOPBgI2poCdnsNKbldYZhGIZhmGtHTCNoAk8+WIuH/kqdeigYRzYz2Yx4ogLJ26rVFcENa1Hzh8L0mc4hN6uuacy+Noq0PBKGk1xXzzAMwzAMU35iGkHVqP6ifVTxxRbsrretFOfr8Y5xVLV8mfg7i/FL06j87N2o+5J93WYFko+P4qXn21CnPqY6e3Z/fsXZlm8/C5oZVPEndbj1Bvt3hmEYhmGYchNgBNWgTU1o9g5zJb9tX7/wVw+j5kb72orPb7APBMu//DAO/An1/CxH3befxtDZfdigT/UxsPxzVSjcshw197Tj6W9u0K4xDMMwDMOUl09ZAnXMMAzDMAyzZLi2q8MYhmEYhmEWKWwEMQzDMAyzJGEjiGEYhmGYJQkbQQzDMAzDLEnYCGIYhmEYZknCRhDDMAzDMEsSNoIYhmEYhlmSLL59gmYyOPK9PmSmZzF/4wbs/u4+bP28+u0aMPFXLej8/04i98sZ4E+exN884mzSmMOzrfvRd3ECs79bjcSWh/HUI3VQm1yXlZlXUjg+24iH1Q7cDlNDh9D9SgVWf2YKlz/XhPYHarBc7aI9+/oAup6ewuqVc7j84Qa0fXsrqpwdtmezGHh8AFOrqzB3eR4bvnltZcgwDMMwH0vICFo0fPCWdfxPD1uv/sY+nfxpq7X+Dx+zzr1nn8fi3THr+F90Widy6jyMkcPWrm/sstavf8Q67XnXqz2HrbEP1ElMruaGrb72J6xXr6oLLqat4SdbrQe/85jVetd6q3VwWl23mXvtsHXP94etOXX+1tO7rNYX1D3vnrBav3HcekuFa+5vO617nhxT905bJ761yzruxPs3w1bnHz9hjTkeMQzDMAwjWVzDYW++hMxXGrFBfY6jqr4RW98/g8ELM/aFKFzJ4tn/tB/d54Gv7m1H42p1PYTcm0DTd3cgiTSePWt/295mAq+/X4NEzG+YzV7OINWxH8+9XYV7v/swNhi7jypR92APnvzhnyLpC+Mshp8bQNWX1uY/HZL4Ug0yz5xDThxPvNCHzG1r8+GqWFuDqqNnMEIfXfvlIPou1GCt4+eNa1FTlcKZUfqRYRiGYRiHRWUEzU9PI/PDfRgQRolk+QqsoP89X6c3cmUEA537cOjlZbhz7wG03VODykjGywwmhLGSWJ3EvX9SgeyxM5j4UP10ZRxXq9dGHgKb/eUZHPnzfXju3YQwqg6gZXMiP3wVjxzG/7MwfPTP6N94E6reyCI3O4Pc61PY8HkpGZvPLBdhHMbEZRGbS2OYqk3YcpNUYLmIwPAEmU8MwzAMwzgsKiOoYk0Ntn6pGiscq+PyOEZEJb7qc8FmyPwUGT9dOPLaTWh87BD2ba+OZ3h8+BbGl69FQrzn1s13o2LqKAZVr8lsdgI3/UGVPA5j9g1h/IgwDL5Xgz2PH0LLV6pQUZLxU2D+ffHnt+xjyWcrRRhnMfsPwJwwCituoC/1K6SxOIWr9AwZjBVA4dflWPE5YGp2Tp0zDMMwDEOU3Qj6+c9/jq997WvS0XEsVm7FgWMHsHUlncwje3IAuc2PoqnW9D35eUwca8Gu5+dx52PteLghpvHj8ObrQM1aeVhR24g9VfN49mdpYW4AuTeA6tDhtBmkO7Zg/xvC+BFhaCqD8SO5kpPDXmYmkbugDg1MXs6oI4ZhGIZhwii7EdTb24v33ntPOjoulfmLR3Dw5a146kBjYdWTiwpUP/AUfviVHI48fgRnfklmS3xmLl1FYrUysm6oxtbmGuDsszj9zgRG363GWpP9lacSye+exMPLT+Dg4wMYuaIuL5SVCSTUoZ9VSGxUhwZWra5TRwzDMAzDhLG4JkY7TA1if08FHj36MGrUJGkjN1Sg6itNaH9sD2reG0RXpzCG3ohjDM1j/NJNWKuNeFXV0wTpLAae6MP4mrXCzCnCDctR3fCwCEMjbnrtiAiDMIamFj4JuULEe/59zZ93JzGC5Vj+GWDZbwHT/3BV/SCYmUIOVbiJZEVDaL+eQ+HXGUxdFvFarg2fMQzDMAxTfiOotbUVN998s3R0HJv3s+h+PIemJ5QBND+CwbNFVoc5xlDHw9gwG8cYymEC1e5el88m0XiPsMPOplH15Wp1MQK6MfT60QUaQ2tx6zZgclqLw4fzmP9SDRLLK1H9lWpMvKv/RvN9Nsmhu8ov1aH6jSk5nOdAc4g2VQf3LTEMwzDMUqTsRtBdd92FF198UTo6jsc8skcHgO0bMPf6CEZeEe5ng8h9tmh/TJ5KxxiaP43uHxxBJmyI6vIYplcXlqHbVGDDlh3i71bUxLCB8mjG0IpLAzj0g0FMxLaFRBi2NiF3cVxIxGZiNI26e74qDbaECF/daBY5tYpt9rUMcs1bsYEisvqr2LFxBFlnhd2vR5C53IStxnlVDMMwDLN0WVQ7Rs+/cgh/9M1n8xW/TTX2Pf80dkTY78cIGQq+OUU5PPvN/XhuYkIcJVB9zz78+EFnp2jBhxNI/ekYtvTuCJmbExHj+22mXjqCE69NIXPiDHK/W4e7t1ej9usPIyl3d55H7mQ3nrxo3jF6ZjSFg89Pm3eMnhlB6ofPCQOPd4xmGIZhmCAW32czGIZhGIZhrgMfayNo9s0RjE+rkwBWVG9A4rPqpOzMY+r1MUzS/jyBLMOq22pQxaNRDMMwDLOo+Hj3BL0/i9ki822WLV9enr17ApifncWcs8N0ANc6DAzDMAzDxIeHwxiGYRiGWZIszn2CGIZhGIZhrjFsBDEMwzAMsyRhI4hhGIZhmCUJG0EMwzAMwyxJPjZG0MzJvdh7ssjnMxiGYRiGYSLy8TCC3s+g7z9mkLk8qS6UTqAxdbEbtb1ZdeLmnz74EP/4m3/A/OxvpKNjulYesuiu7RZ/GYZhGIa5nnwMjCD6nlg3TqizhTJ5GUjeHv1bZMSHc/Ow/umf1BnkMV3LQwZUbW1x1zoIY1/WxgRWqcNgyFgy+Klc90V1G8MwDMMwkVj8+wRdfhb7XlqLxndbsHeqHUO9jYhnwujMYLC1H4neNtSoK3nIkDmfxGir7xfZ+2OiYvnvqCMDVwaxd1sOu0cN75IGTQsG1JmZOrSf6kHjSnVqgsK8ZwBNR0fRtk5dYxiGYRgmEovcCJpFuvNJLPvOPiw/WouWSws1goTx0ZrDTvJDGRBGNrrfE98IIiMnjaQ0gNQ7W3LofHsnerZ7Qk/G0gGgI2a8sr3lkAfDMAzDLF3KPhz285//HF/72teko+OFMD/ah9GND6HuRmDF5zcAF3JwzQp6cwAPPGWYTTObRtefn/EPPV3JIbcmYRsN69owOjpacEebgOaUfbxAw2LmZB9w1OkBqsHO+jT6sRPJs/3CJDJwoQsNruGtvRi8on7zQkaTuKflmDjOPxdyP8MwDMMwRspuBPX29uK9996Tjo5L5sMJDJxKoGnLcnm67AbDF0hX78CP/51/sAnLk3i0c+tH1EOSRX9nAklteKpyew/a1lWi0TUMR0NzwoDZ1oUM9TxJYyyFJvEvNdoBHBC/uSZqO/enkTylGW/S7UZuGxtCDMMwDBOHRTsxeuaFPpybzuBIx37sf2w/Dp4cF1dzyOkVvTCMgj5MWvFRfbWdepsiTHTO9jYgXT+kDB8b6kHKdewUhhIZTENov9SnDBsygDqB/WTwmOYJ1aDtaAJdz/AaM4ZhGIaJStmNoNbWVtx8883S0XFJvJ9B/+V78ePeQzjw+AHpDv37O8UP88AH9i2zr5/BwA+7MPiOfZ7nnQwGn+pC92iRz8sLaLl8fggqaH6QYrLnfvzX9bYbO/nf1VUDKxNIqMNArgyiDyk1P2iVuD+HyYvdaDibREd+zlAlEmvUoTSKbONHD7NrqX9VAnXqkGEYhmGY4pTdCLrrrrvw4osvSkfH8ZnHyFNprG3eAFdnjqzkR1RPUA7Z92qw4eZpzMkfHWaRyS3HpsQc5k3b+JCBcilnzxUShkinMDrsYSjhTrWj7liLNC5My81X7f0r/Kv/y3a3bv/n6qoJMmq60B9ryfoAWlIJzyTnLNLHRHhdvT5Z9OfDPITk2YZ8WGdeTgOriy+0ZxiGYRjGZlENh02d3IcH7mnAQ3+VRt8PzmBKv952RJhAwOCBB/DAsVnU1QmD5406bPq8fY/NctRtTmDk/E3YcptpPEz1uqgzF1M5ZOTE6BSwZyHzayrRuL8duT2enhqdlZuQvGQbXLW1Dci1CKNGN4DkvkMtamjMQ35yuHhPSxMGzmdl71BDZwK7vSvPGIZhGIYJZPHvExTEGynsfWMLHv78NKq+sgHLrkxhrrIKy2fPYP9fVuLhzcCcuO4dmsr27kXuvsLQUkNnRv1CE5JNe/qUuE+QnMfTgK4L6tSz7N6H3FeoC3ZogsPi7A3kgow3w/5GDMMwDMME8/E1gn6ZwqFMJWpr70Tyy7M48+0GZO+5gH1fGkb301NI3HYnGjeWp2eEPpOh7xhNfOrTn8Zv/85n1BnDMAzDMB83Pr5GkJcPsxh5vQYbrsHOyfSdMP3TGWQA3bCsAp/+rYClaQzDMAzDLHoW7RL5uMxkpnHTl9VJmSFjh3p9aPiLHB2zAcQwDMMwH28+OT1BDMMwDMMwMfjE9AQxDMMwDMPE4ZNnBH04b94jiGEYhmEYRmNxGkH0YdT6LqRn1XkM5l8ZwGlng6FizI+gu34jjryuzj/pzGfRvb3b/BFX5tpxsVvuGUVbMpg24mQYhmE+GhanEbQ8gTtbd2CT/e3U6HyYw4mJatzp2kAxjJuw9p5H8dUvqNOyQPsDxTU06Jlr/wHU3M+6MTDl+f7aAsj2mnfXpso+aKNIWmlHWw7Q3kv0P52b0O8r573Xk7zRs24nkmf7Mbl9N5AatHcsJ2hvqFbtvCil6FZchKFcy4YywzBLg8VpBK2sQ9P2avdnMyIw/8ppzNfVRX+uohpbH2xE9Y3q3ABV9M63umx3LYwV+k5YBrmoPVilICrc7ifoI7TlYga5S02ur+VHQd9qgP6ncxP6fUS57rUreU+aGgwR2lTTnM4Gg1Xu8O3xUzjaiHNgDx3TppkDaKntQ2J/8IaZuq7F6jFSPU15AsLjc0EGWIQPABvlqDnu8WIY5mMBrQ77RPDBW9bxJ89ZV9Xpgnn3hNW6fr21vmdMnIxZh791wpqWP4jj/HUT09aJbx0Wd4Xg+B3m8u8rB3PW8KFO69zIcet+4ffh19TlBaHLxM30YKvVOmgO/dzVv/c5E6b7yJkw3UfOC4WLZCvj/9rhQhjFcf66hNKw1Trxrjr1QukXmP4F6H1GWav3FdLZ1ql8eMh/o2yDdKtIeAmpc0F6qXQ61BXxn/DJkWEYZnGzuIygDyat06KyfuzhXVZfdk5djMZc5gmrf0KdFOM341b/oYPW4e/ssh55YVJd1KFKQSv0DZXSWE9wYT/W43mWKpGilWawUbFgJvqsR555Kx+WslRS5JeKk2NcGJ0r3v/NeuMbP7Le0o2VX/3UGjnolw399ncDf2a9OpAr3CucCbrvv/z+9rxznnFBFbQmX7+hRmnuGAnFDVlXGus46a1cqKzz93r98uiCbjR5nMuQC9QxPW7Kb3G/0VClMJWgh5Qfymu4MwzDXHvKPhz285//HF/72teko+M4TJ08g+XfbMeO6nEMT0yrqx4un0HXY/ux3+X+DP+vntfw+k8K17pO5dQDXmaRPjaGum/vw8P/Zi3SZ0YMQyH08dIO+X0xCX1cdU3CNYxRc187cueDZk5k0LVNDQ1sy2E3ffVd+7YXzRXxDh/QB1MHLnShQbtWliGFD6cw+Ayw+54EUFklv6WWe1uPsZBH5z6cMY6LiF9f6sL+IcOPQibOV+srt/fYX+JXbqijDnUdQ/a575tmOfzPd9Uh8XdTwBc+p05K54bv9qiv/D+GZd/bi3GX7LLo3pNDuzYUNXk5g8QtrhTFzo4c0vK5SeScb74FULM5gfTLXrnMYPBAGslTthxSzepyEKRXqEP7Kftbdi50fVvXpmSbQhN9g07Jmc4Tnf32/J11O9F+qc84hDdzsg846nyLTsSzPo1+2POUjBrs0cPQIWCa1yTuaTkmjvPPXfv5bQzDMGVBGUNlo76+Pt9KpePoXLXGMuPW3AeipfqH91vHc+pyBOZefsLq+4U6KcbcW9bYhN3LNJ66y7rjSW/rWW8125iHdzytdQk9u4AWcYmt8DCuvnjQOjzi9KrZ4fPFZS6k1+2DOZEm6lgnqCdBYJaXzVtdf2a98Su7l2fs/N9bc+d/ZI08/9/UrwXi9gTp98meoa5X1K8CXy9JwPBRPk5+HfBhTCu3TsgessDeGQpDgK6Q36bnfNfdPVaBelosLhIVHpf+Os+q33zvpvtNPWL0XEBPGcMwzCJiEU2MXo6ajdXA6Bk8+4VGbFqtLhdlCide+T3c+yV1WoyKBGq+SFOnZzD+2hTurllrX3e4kkPONTF0BsNngeTtnumsdJ86lMgWcRpJaqGHfS0+D02w1Vvbwm3rEtfT6AxYWRWb+Sz6nx5H7medqoesDyM3ApnLk+oGRUXIVPIbKlBR9i+E/He8R31Sf/sLdV5e/tkt1N9VYObtHOpUr5XkyrCQchKbPL0vdJ/NKiQ2qkNJFt3eScQrNwkfcvBIErjgXBOyF3pTdynnfk4xc7IT6TVNqFPnLrReNp2Zl9PG6w6VtycBb9r69NlMtrcB6XrqvUuhSV2jHqRcx07UCG1u7B3SeppIdzuB/dQbZejFEk+0HU2g6xleY8YwzOKm7EZQa2srbr75ZunoOB7zGHnpWaz9+iZUXckg8466rOMZDvsPD/4pfvarYRzUrpELHg5TzI9j4kIdqtd4DICVCTlklCegwvQOkWWfoWEQZ8ihGFSJNCDX4gxrFFxHvTBSzg4bK8645H52BqseT6Hn8QM4IF0HdtBqrg/m7Bs+nELm5BF0/acRIXkP9NvxQaR+eATZoIVWGvrKJloVFcyv8I9/RzXpBvy2MBcmheGxbPXCh8N0/ofw84ZEIcEqvUYRGRP1m3yGamGIrBKb6p2hMWUMGO6noT33dgNU+QMtUg4t4h3CKPEMo0qEwdx5NomO+9zhCifAGNdZ2Yge7/CjV59NiPD0QejJdvJbGIBk3F3sRgOFUV4jaAWjOhTHjb228aMP7bpWqFUlzAYewzDMIqLsRtBdd92FF198UTo6jsc4Rp6vQ+PmKuTO51BhqhtXb0V7vlJ/GOu+tAv/n//DOS+49m1Fiv43RnCi6las9bViqRJIY9hp8R7oQqLF27Oj5pjc51Q4tFxcVDY+vwKQhlU7dhqWl8v5NZ6epKD9eEKZEhXbbCMaq9S5RFVkl6ekkTX7Sg7L634Pc4YtdWZfm8SKe+5EtTCGppXN5EJUcvleB1FhtohKNG/MHW1CprNBVIz+uSGfSfw+8Lfiua/8AW5OTGG2iK0am3f/Gu98D/jdr/xzdUFAYXUMSzJAOhPYna/cFRSHS4U0oV6VnNzTJ4t+0/0uo0AjP39nFMnLXcaeG2kwhyyVL/RICT3rVb0pF/vR5TXGpR4V6+Uhfe5Cfyz9GUBLKoEhlx5mkT7m1XHq7UqqOUpDSJ5tyOtpsV4rhmGYxcAi2ydoFdbWzyLzk0PIrNmBDUU2/Jl/5QT+vn4r4u6pSOQmRkRLvRbV6ryAaOXuTyItJzbbQwRtmrFi93iIVv5RfRiAKkRRcTgVVjHkUEr0iqmmdQiJVMTJpvMjONL8ABru60L6p504Mqq6cdT1rpPi+OIRtDZ3YaS6DonRYdy0+Vbf3krLazeg+oYcJqZqkDAJmHoYgoZ6aPiJJkafIjn6N957/9gU/hdh4P6zr1Rh7hjw26vsPWdMGyx++L29+K/r77ddzy9Uz4Pfz/x92zL43VPfc8+1XtmIjvq0PWl3m7fHzn537R4gpVf6+Wcorc09fDWtpqEgG9ITMqoKPSkFwp4j5LCWNCL7kJCGtjDGU87E7sLQXFCPlhvS53bk9pjlKyF9vNQi3mfrvOyh1GUh9x2ixQI0NOYhP/wn3tPShIHzWZlGDUbDkWEYZpGh5gZ9DJm0jvecLnFfoGnr9J+utx57MfrTcpJrkUnPcpkw3WN03omi2kRUnzNMZL0Gk6ZpMvrp/3DQenXyVetVmoj+wbQ1qYdxUrzTN3HcwT0p1xX3kHDqk5wdJ3ntsGs5uek+cvK9PW7/TfeRC6cg/6BJ3CVB6UQyCJwQrRExTb0TnvO6GGnCs4NH34q914lHsffQpPP8fcpFiTvDMMwi4FP0R9lDHyvmL6bwbEULmqJOiJZLwRuwr+KHuHDfJB5svoyHzu4r2tv0yUbIpLcfU6tvxZ3b61D5+hFs/OEKPH1sh5xHMnt2P568sQP7NpZPSPRJC3135099+tP47d95H4MnJ9G4vdDP4L2PkPf+6q8xWNXo6kkJvPd3PqPOGIZhGMbPx9QImsHg0REk98QZCptH9ugu7H8tgbXLfw/3PtKCDdxb72NqdASfWjGP/19FHZY9vxe5+8KHbuJC3/RyPnNBhsoNyyrw6d/yLz/T7yPKdS/DMAzDOHw8jaAPZzDz60pUshFTXuazSAsjMfHmPgy8twGV1VvxcL1rZjXDMAzDfGL42A6HMQzDMAzDLIRFtjqMYRiGYRjm+sBGEMMwDMMwSxI2ghiGYRiGWZKwEcQwDMMwzJKEjSCGYRiGYZYkbAQxDMMwDLMkYSOIYRiGYZglCRtBDMMwDMMsSdgIYhiGYRhmScJGEMMwDMMwSxI2ghiGYRiGWZKwEcQwDMMwzBIE+P8DSYRePaM9DDgAAAAASUVORK5CYII=)
B - Tournament Result
やってみよう!
B
関数を完成させて「Run」ボタンをクリックしよう!
test_dataB = [
{"in": [4, ["-WWW", "L-DD", "LD-W", "LDW-"]], "out": "incorrect"},
{"in": [2, ["-D", "D-"]], "out": "correct"},
]
def B(N, A):
pass
test_all(B)
自由欄
try
これは設問通り実装すればいいですな。
set
の妥当な使い道です笑
def B(N, A):
pat = [set(["W", "L"]), set("D")]
for i in range(N):
for j in range(i + 1, N):
if set([A[i][j], A[j][i]]) not in pat:
return "incorrect"
return "correct"
test_all(B)
結果:提出 #33491823 - AtCoder Beginner Contest 261
自由欄
C - NewFolder(1)
![](data:image/png;base64,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)
C - NewFolder(1)
やってみよう!
C
関数を完成させて「Run」ボタンをクリックしよう!
test_dataC = [
{
"in": [5, ["newfile", "newfile", "newfolder", "newfile", "newfolder"]],
"out": """newfile
newfile(1)
newfolder
newfile(2)
newfolder(1)""",
},
{
"in": [11, ["a", "a", "a", "a", "a", "a", "a", "a", "a", "a", "a"]],
"out": """a
a(1)
a(2)
a(3)
a(4)
a(5)
a(6)
a(7)
a(8)
a(9)
a(10)""",
},
]
def C(N, S):
pass
test_all(C)
自由欄
try
時間にシビアな問題です。
普通に考えたらdict
に入れていけばいいんでしょうけど、それでいいのか…?
もっと高速化しなければいけないのでは!?
という訳で二分探索するようにしてみました。
from bisect import bisect_left as bisect
def C(N, S):
St = ["{"]
C = [None]
ret = []
for s in S:
idx = bisect(St, s)
if s == St[idx]:
C[idx] += 1
ret.append(f"{s}({C[idx]})")
else:
St.insert(idx, s)
C.insert(idx, 0)
ret.append(f"{s}")
return "\n".join(ret)
test_all(C)
結果:TLE... 提出 #33466247 - AtCoder Beginner Contest 261
自由欄
try2
やっぱりdict
なのか!?
でもin
演算子は二分探索より早いのか!?!?
という訳でtry ~ except
で実装
def C(N, S):
St = {}
ret = []
for s in S:
try:
St[s] += 1
ret.append(f"{s}({St[s]})")
except Exception:
St[s] = 0
ret.append(s)
return "\n".join(ret)
test_all(C)
結果:AC 提出 #33468127 - AtCoder Beginner Contest 261
自由欄
try3
in
演算子でも普通に早かった。
def C(N, S):
St = {}
ret = []
for s in S:
if s in St:
St[s] += 1
ret.append(f"{s}({St[s]})")
else:
St[s] = 0
ret.append(s)
return "\n".join(ret)
test_all(C)
結果:AC 提出 #33492321 - AtCoder Beginner Contest 261
自由欄
D - Flipping and Bonus
![](data:image/png;base64,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)
D - Flipping and Bonus
やってみよう!
C
関数を完成させて「Run」ボタンをクリックしよう!
test_dataD = [
{
"in":[6, 3, [2, 7, 1, 8, 2, 8], [[2, 10], [3, 1], [5, 5]]],
"out": 48
},{
"in":[3, 2, [1000000000, 1000000000, 1000000000], [[1, 1000000000], [3, 1000000000]]],
"out": 5000000000
},
]
def D(N, M, X, CY):
pass
test_all(D)
自由欄
try
コンテスト中は30分くらい時間があったのですが、全く分かりませんでした😇
という訳でさっそく解説を見ます。
・・・なるほど、分からん!
とりあえず実装してみたのが以下。(こんな短いんか…)
def D(N, M, X, CY):
'''
解説参照
'''
X = [None] + X
b = [0] * (N + 1)
for c, y in CY: b[c] = y
dp = [[0] * (N + 1) for _ in range(N + 1)]
for i in range(1, N + 1):
for j in range(1, i + 1): dp[i][j] = dp[i-1][j-1] + X[i] + b[j]
dp[i][0] = max(dp[i-1][:i])
ans = 0
for i in range(N + 1): ans = max(ans, dp[N][i])
return ans
test_all(D)
結果:提出 #33494080 - AtCoder Beginner Contest 261
自由欄
解説を理解する
なにも考えず写経してACを確認したところで、ちゃんと考えてみます。
dp
を返すようにした下のD_debug
関数で確認してみましょう。
def D_debug(N, M, X, CY):
'''
解説参照
'''
X = [None] + X
b = [0] * (N + 1)
for c, y in CY: b[c] = y
dp = [[0] * (N + 1) for _ in range(N + 1)]
for i in range(1, N + 1):
for j in range(1, i + 1): dp[i][j] = dp[i-1][j-1] + X[i] + b[j]
dp[i][0] = max(dp[i-1][:i])
ans = 0
for i in range(N + 1): ans = max(ans, dp[N][i])
return dp
dp
は以下のようになっています。
import numpy as np
from pprint import *
N, M, X, CY = test_dataD[0]["in"]
pp(np.array(D_debug(N, M, X, CY)))
dp[1][1]
からの対角成分が、全ての試行で表が出た場合の各時点での獲得金額となっているのがわかります。
# 全ての試行で表が出た場合の各時点での獲得金額
import pandas as pd
X = np.array(X)
Bonus = np.zeros(len(X), dtype=int)
C, Y = np.array(CY).T
Bonus[C-1] = Y
df = pd.DataFrame(
data= [X, Bonus, (Bonus + X).cumsum()],
index=["通常獲得", "ボーナス", "計(累計)"],
columns=range(1, len(X) + 1))
df
もう一度ちゃんと解説を読んでみると、dp[i][j]
においてj
は「現在のカウンタの数値がjである」ことを表しているとのこと。
ふむふむ。これで対角成分の↘の動きはわかりました。
次に、対角成分より左下の下三角部分を見てみましょう。
この部分でも↘の動きは同様で、i
の通常獲得金額とj
のボーナスを累計していくことは分かるのですが、問題はその始点、つまりdp[i][0]
の値です。
「現在のカウンタの数値が0である」ということは、その回の試行では裏が出たことを表しています。
ここで確認ですが、今考えているのは任意にコイントスの表裏を操作して獲得金額を最大化するといくらになるか、ということです。
そして通常獲得とボーナスの組み合わせによっては、どこかで裏を出すことでそれを達成することができる場合もあるわけです。
さて、i
回目のコイントスで裏を出すことで獲得金額を最大化できるとしましょう。
その場合、i
回目の獲得金額はi - 1
回目までの考えられる獲得金額のうち、最大のもの設定すればよいです。
それをやっているのが12行目ということなんですね。
賢いっ!
実際、このケースでは3回目で裏を出すことで最大金額を得られます。
いや~、なんというか脱帽です。
まとめ
DPの練習しなきゃ…
自由欄