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"H, W, A, B = map(int, open(0).read().split())\nMOD = 10**9+7\n \nfactorials = [1] * (H + W + 1)\ninv_factorials = [1] * (H + W + 1)\n \nfor i in range(H + W):\n factorials[i+1] = factorials[i] * (i + 1) % MOD\n\nfor i in range(H + W):\n inv_factorials[i+1] = inv_factorials[i] * pow(i + 1, MOD - 2, MOD) % MOD\n\ndef modcomb(m, n, mod):\n return factorials[m] * inv_factorials[n] % MOD * inv_factorials[m - n] % MOD\n \n# total = modcomb(H + W - 2, W - 1, MOD)\ntotal = 0\n \n# for i in range(B):\nfor i in range(B, W):\n total += modcomb(H - A - 1 + i, i, MOD) * modcomb(A - 1 + W - 1 - i, W - 1 - i, MOD) % MOD\n total %= MOD\n\nprint(total)",
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"def modcomb(m, n, mod):\n return factorials[m] * inv_factorials[n] % MOD * inv_factorials[m - n] % MOD\n \n# total = modcomb(H + W - 2, W - 1, MOD)",
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] | H, W, A, B = map(int, open(0).read().split())
MOD = 10**9+7
factorials = [1] * (H + W + 1)
inv_factorials = [1] * (H + W + 1)
for i in range(H + W):
factorials[i+1] = factorials[i] * (i + 1) % MOD
for i in range(H + W):
inv_factorials[i+1] = inv_factorials[i] * pow(i + 1, MOD - 2, MOD) % MOD
def modcomb(m, n, mod):
return factorials[m] * inv_factorials[n] % MOD * inv_factorials[m - n] % MOD
# total = modcomb(H + W - 2, W - 1, MOD)
total = 0
# for i in range(B):
for i in range(B, W):
total += modcomb(H - A - 1 + i, i, MOD) * modcomb(A - 1 + W - 1 - i, W - 1 - i, MOD) % MOD
total %= MOD
print(total) |
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] | [
"def main():\n H, W, A, B = (int(i) for i in input().split())\n m = H + W + 3\n MOD = 10**9 + 7\n fac = [0] * m\n finv = [0] * m\n inv = [0] * m\n\n def COMBinitialize(m):\n fac[0] = 1\n finv[0] = 1\n if m > 1:\n fac[1] = 1\n finv[1] = 1\n inv[1] = 1\n for i in range(2, m):\n fac[i] = fac[i-1] * i % MOD\n inv[i] = MOD - inv[MOD % i] * (MOD // i) % MOD\n finv[i] = finv[i - 1] * inv[i] % MOD\n\n def COMB(n, k):\n if n < k:\n return 0\n if n < 0 or k < 0:\n return 0\n return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD\n\n COMBinitialize(m)\n ans = 0\n for x in range(W-B):\n if x == 0:\n p = COMB(H-A-1 + B+x, B+x)\n else:\n p = COMB(H-A-1 + B+x, B+x) - COMB(H-A-1 + B+x-1, B+x-1)\n q = COMB(A+W-1-B-x, A)\n ans += p*q\n ans %= MOD\n print(ans % MOD)\n\n\nif __name__ == '__main__':\n main()",
"def main():\n H, W, A, B = (int(i) for i in input().split())\n m = H + W + 3\n MOD = 10**9 + 7\n fac = [0] * m\n finv = [0] * m\n inv = [0] * m\n\n def COMBinitialize(m):\n fac[0] = 1\n finv[0] = 1\n if m > 1:\n fac[1] = 1\n finv[1] = 1\n inv[1] = 1\n for i in range(2, m):\n fac[i] = fac[i-1] * i % MOD\n inv[i] = MOD - inv[MOD % i] * (MOD // i) % MOD\n finv[i] = finv[i - 1] * inv[i] % MOD\n\n def COMB(n, k):\n if n < k:\n return 0\n if n < 0 or k < 0:\n return 0\n return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD\n\n COMBinitialize(m)\n ans = 0\n for x in range(W-B):\n if x == 0:\n p = COMB(H-A-1 + B+x, B+x)\n else:\n p = COMB(H-A-1 + B+x, B+x) - COMB(H-A-1 + B+x-1, B+x-1)\n q = COMB(A+W-1-B-x, A)\n ans += p*q\n ans %= MOD\n print(ans % MOD)",
"main",
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"for i in input().split()",
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"inv",
"[0] * m",
"[0]",
"0",
"m",
"def COMBinitialize(m):\n fac[0] = 1\n finv[0] = 1\n if m > 1:\n fac[1] = 1\n finv[1] = 1\n inv[1] = 1\n for i in range(2, m):\n fac[i] = fac[i-1] * i % MOD\n inv[i] = MOD - inv[MOD % i] * (MOD // i) % MOD\n finv[i] = finv[i - 1] * inv[i] % MOD\n\n ",
"COMBinitialize",
"fac[0] = 1",
"fac[0]",
"fac",
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"1",
"finv[0] = 1",
"finv[0]",
"finv",
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"1",
"if m > 1:\n fac[1] = 1\n finv[1] = 1\n inv[1] = 1\n for i in range(2, m):\n fac[i] = fac[i-1] * i % MOD\n inv[i] = MOD - inv[MOD % i] * (MOD // i) % MOD\n finv[i] = finv[i - 1] * inv[i] % MOD\n\n ",
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"COMB",
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"x == 0",
"x",
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"p = COMB(H-A-1 + B+x, B+x)",
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"def main():\n H, W, A, B = (int(i) for i in input().split())\n m = H + W + 3\n MOD = 10**9 + 7\n fac = [0] * m\n finv = [0] * m\n inv = [0] * m\n\n def COMBinitialize(m):\n fac[0] = 1\n finv[0] = 1\n if m > 1:\n fac[1] = 1\n finv[1] = 1\n inv[1] = 1\n for i in range(2, m):\n fac[i] = fac[i-1] * i % MOD\n inv[i] = MOD - inv[MOD % i] * (MOD // i) % MOD\n finv[i] = finv[i - 1] * inv[i] % MOD\n\n def COMB(n, k):\n if n < k:\n return 0\n if n < 0 or k < 0:\n return 0\n return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD\n\n COMBinitialize(m)\n ans = 0\n for x in range(W-B):\n if x == 0:\n p = COMB(H-A-1 + B+x, B+x)\n else:\n p = COMB(H-A-1 + B+x, B+x) - COMB(H-A-1 + B+x-1, B+x-1)\n q = COMB(A+W-1-B-x, A)\n ans += p*q\n ans %= MOD\n print(ans % MOD)",
"def main():\n H, W, A, B = (int(i) for i in input().split())\n m = H + W + 3\n MOD = 10**9 + 7\n fac = [0] * m\n finv = [0] * m\n inv = [0] * m\n\n def COMBinitialize(m):\n fac[0] = 1\n finv[0] = 1\n if m > 1:\n fac[1] = 1\n finv[1] = 1\n inv[1] = 1\n for i in range(2, m):\n fac[i] = fac[i-1] * i % MOD\n inv[i] = MOD - inv[MOD % i] * (MOD // i) % MOD\n finv[i] = finv[i - 1] * inv[i] % MOD\n\n def COMB(n, k):\n if n < k:\n return 0\n if n < 0 or k < 0:\n return 0\n return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD\n\n COMBinitialize(m)\n ans = 0\n for x in range(W-B):\n if x == 0:\n p = COMB(H-A-1 + B+x, B+x)\n else:\n p = COMB(H-A-1 + B+x, B+x) - COMB(H-A-1 + B+x-1, B+x-1)\n q = COMB(A+W-1-B-x, A)\n ans += p*q\n ans %= MOD\n print(ans % MOD)",
"main"
] | def main():
H, W, A, B = (int(i) for i in input().split())
m = H + W + 3
MOD = 10**9 + 7
fac = [0] * m
finv = [0] * m
inv = [0] * m
def COMBinitialize(m):
fac[0] = 1
finv[0] = 1
if m > 1:
fac[1] = 1
finv[1] = 1
inv[1] = 1
for i in range(2, m):
fac[i] = fac[i-1] * i % MOD
inv[i] = MOD - inv[MOD % i] * (MOD // i) % MOD
finv[i] = finv[i - 1] * inv[i] % MOD
def COMB(n, k):
if n < k:
return 0
if n < 0 or k < 0:
return 0
return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD
COMBinitialize(m)
ans = 0
for x in range(W-B):
if x == 0:
p = COMB(H-A-1 + B+x, B+x)
else:
p = COMB(H-A-1 + B+x, B+x) - COMB(H-A-1 + B+x-1, B+x-1)
q = COMB(A+W-1-B-x, A)
ans += p*q
ans %= MOD
print(ans % MOD)
if __name__ == '__main__':
main()
|
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] | [
[
205,
2
],
[
205,
11
],
[
205,
12
],
[
205,
13
],
[
181,
17
],
[
187,
20
],
[
29,
28
],
[
206,
34
],
[
203,
35
],
[
28,
38
],
[
190,
40
],
[
44,
43
],
[
191,
50
],
[
58,
53
],
[
191,
54
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43,
56
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191,
61
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43,
63
],
[
191,
66
],
[
43,
67
],
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188,
68
],
[
208,
70
],
[
191,
74
],
[
78,
77
],
[
209,
83
],
[
191,
83
],
[
209,
88
],
[
191,
88
],
[
77,
89
],
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188,
91
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188,
93
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193,
95
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196,
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194,
102
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105,
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203,
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184,
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209,
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191,
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206,
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200,
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104,
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209,
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203,
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197,
145
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206,
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200,
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197,
152
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194,
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179,
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104,
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197,
159
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194,
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200,
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197,
164
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194,
164
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203,
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],
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],
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104,
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185,
175
],
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182,
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188,
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205,
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181,
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184,
185
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187,
188
],
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190,
191
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193,
194
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196,
197
],
[
205,
200
],
[
205,
203
],
[
205,
206
],
[
208,
209
]
] | [
"h,w,a,b = map(int, input().split())\nimport math\nans = 0\nmod = 10**9+7\nl =[i for i in range(1,h+w+2)]\nfor i in range(1,len(l)-1):\n l[i+1] = l[i+1]*l[i]%mod\nl = [1]+ l\ngyakugen = [pow(l[i], mod-2, mod) for i in range(1, len(l))]\ngyakugen = [1] + gyakugen\nfor p in range(1, w-b+1):\n ans += l[(h-a-1+b+p-1)]*l[w-(b+p)+a-1]*\\\n gyakugen[h-a-1]*gyakugen[b+p-1] * gyakugen[a-1]*gyakugen[w-(b+p)]\nprint(int(ans)%mod)",
"h,w,a,b = map(int, input().split())",
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"gyakugen",
"[pow(l[i], mod-2, mod) for i in range(1, len(l))]",
"gyakugen = [1] + gyakugen",
"gyakugen",
"[1] + gyakugen",
"[1]",
"1",
"gyakugen",
"for p in range(1, w-b+1):\n ans += l[(h-a-1+b+p-1)]*l[w-(b+p)+a-1]*\\\n gyakugen[h-a-1]*gyakugen[b+p-1] * gyakugen[a-1]*gyakugen[w-(b+p)]",
"p",
"range(1, w-b+1)",
"range",
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"w-b+1",
"w-b",
"w",
"b",
"1",
"ans += l[(h-a-1+b+p-1)]*l[w-(b+p)+a-1]*\\\n gyakugen[h-a-1]*gyakugen[b+p-1] * gyakugen[a-1]*gyakugen[w-(b+p)]",
"ans",
"l[(h-a-1+b+p-1)]*l[w-(b+p)+a-1]*\\\n gyakugen[h-a-1]*gyakugen[b+p-1] * gyakugen[a-1]*gyakugen[w-(b+p)]",
"l[(h-a-1+b+p-1)]*l[w-(b+p)+a-1]*\\\n gyakugen[h-a-1]*gyakugen[b+p-1] * gyakugen[a-1]",
"l[(h-a-1+b+p-1)]*l[w-(b+p)+a-1]*\\\n gyakugen[h-a-1]*gyakugen[b+p-1]",
"l[(h-a-1+b+p-1)]*l[w-(b+p)+a-1]*\\\n gyakugen[h-a-1]",
"l[(h-a-1+b+p-1)]*l[w-(b+p)+a-1]",
"l[(h-a-1+b+p-1)]",
"l",
"h-a-1+b+p-1",
"h-a-1+b+p",
"h-a-1+b",
"h-a-1",
"h-a",
"h",
"a",
"1",
"b",
"p",
"1",
"l[w-(b+p)+a-1]",
"l",
"w-(b+p)+a-1",
"w-(b+p)+a",
"w-(b+p)",
"w",
"b+p",
"b",
"p",
"a",
"1",
"gyakugen[h-a-1]",
"gyakugen",
"h-a-1",
"h-a",
"h",
"a",
"1",
"gyakugen[b+p-1]",
"gyakugen",
"b+p-1",
"b+p",
"b",
"p",
"1",
"gyakugen[a-1]",
"gyakugen",
"a-1",
"a",
"1",
"gyakugen[w-(b+p)]",
"gyakugen",
"w-(b+p)",
"w",
"b+p",
"b",
"p",
"print(int(ans)%mod)",
"print",
"int(ans)%mod",
"int(ans)",
"int",
"ans",
"mod",
"b = map(int, input().split())",
"map(int, input().split())",
"b",
"ans = 0",
"0",
"ans",
"ans += l[(h-a-1+b+p-1)]*l[w-(b+p)+a-1]*\\\n gyakugen[h-a-1]*gyakugen[b+p-1] * gyakugen[a-1]*gyakugen[w-(b+p)]",
"l[(h-a-1+b+p-1)]*l[w-(b+p)+a-1]*\\\n gyakugen[h-a-1]*gyakugen[b+p-1] * gyakugen[a-1]*gyakugen[w-(b+p)]",
"ans",
"mod = 10**9+7",
"10**9+7",
"mod",
"l =[i for i in range(1,h+w+2)]",
"[i for i in range(1,h+w+2)]",
"l",
"gyakugen = [pow(l[i], mod-2, mod) for i in range(1, len(l))]",
"[pow(l[i], mod-2, mod) for i in range(1, len(l))]",
"gyakugen",
"gyakugen = [1] + gyakugen",
"[1] + gyakugen",
"gyakugen",
"a,b = map(int, input().split())",
"map(int, input().split())",
"a",
"w,a,b = map(int, input().split())",
"map(int, input().split())",
"w",
"h,w,a,b = map(int, input().split())",
"map(int, input().split())",
"h",
"l = [1]+ l",
"[1]+ l",
"l"
] | h,w,a,b = map(int, input().split())
import math
ans = 0
mod = 10**9+7
l =[i for i in range(1,h+w+2)]
for i in range(1,len(l)-1):
l[i+1] = l[i+1]*l[i]%mod
l = [1]+ l
gyakugen = [pow(l[i], mod-2, mod) for i in range(1, len(l))]
gyakugen = [1] + gyakugen
for p in range(1, w-b+1):
ans += l[(h-a-1+b+p-1)]*l[w-(b+p)+a-1]*\
gyakugen[h-a-1]*gyakugen[b+p-1] * gyakugen[a-1]*gyakugen[w-(b+p)]
print(int(ans)%mod) |
[
7,
12,
13,
0,
13,
17,
42,
2,
13,
17,
14,
2,
13,
17,
0,
13,
2,
2,
13,
13,
13,
0,
13,
2,
2,
13,
13,
13,
0,
13,
17,
29,
13,
23,
13,
23,
13,
23,
13,
0,
13,
2,
2,
17,
17,
17,
0,
13,
4,
13,
13,
4,
18,
4,
13,
13,
13,
13,
13,
0,
13,
17,
41,
28,
13,
4,
13,
2,
2,
13,
13,
17,
4,
17,
0,
13,
13,
41,
28,
13,
4,
13,
2,
2,
13,
13,
17,
4,
17,
0,
13,
13,
0,
13,
17,
28,
13,
4,
13,
17,
2,
2,
13,
13,
17,
0,
13,
2,
2,
13,
13,
13,
0,
18,
13,
13,
13,
0,
18,
13,
13,
4,
13,
13,
2,
13,
17,
13,
28,
13,
4,
13,
2,
13,
13,
0,
13,
2,
2,
2,
18,
13,
2,
2,
2,
2,
13,
13,
13,
13,
17,
18,
13,
2,
13,
13,
18,
13,
2,
2,
13,
13,
17,
13,
0,
13,
2,
2,
2,
18,
13,
2,
2,
2,
2,
13,
13,
13,
17,
13,
18,
13,
2,
13,
17,
18,
13,
2,
2,
2,
13,
13,
17,
13,
13,
0,
13,
2,
2,
13,
13,
13,
0,
13,
4,
13,
13,
4,
13,
2,
13,
13,
10,
17,
13,
10,
2,
13,
10,
2,
13,
10,
4,
13,
10,
13,
13,
10,
2,
13,
10,
4,
13,
10,
4,
13,
10,
4,
13,
10,
4,
13,
10,
17,
13,
10,
13,
13,
10,
2,
13,
10,
2,
13,
10,
12,
13
] | [
[
5,
4
],
[
36,
8
],
[
29,
8
],
[
36,
12
],
[
29,
12
],
[
16,
15
],
[
4,
18
],
[
15,
18
],
[
34,
19
],
[
22,
19
],
[
38,
20
],
[
23,
22
],
[
34,
25
],
[
22,
25
],
[
34,
26
],
[
22,
26
],
[
38,
27
],
[
30,
29
],
[
15,
32
],
[
4,
32
],
[
34,
34
],
[
36,
36
],
[
38,
38
],
[
249,
40
],
[
240,
47
],
[
240,
56
],
[
240,
57
],
[
240,
58
],
[
213,
60
],
[
65,
64
],
[
238,
69
],
[
223,
70
],
[
225,
75
],
[
80,
79
],
[
238,
84
],
[
223,
85
],
[
246,
90
],
[
243,
93
],
[
97,
96
],
[
238,
102
],
[
223,
103
],
[
228,
106
],
[
244,
109
],
[
229,
109
],
[
96,
110
],
[
250,
111
],
[
116,
113
],
[
226,
114
],
[
96,
115
],
[
229,
116
],
[
244,
116
],
[
121,
118
],
[
247,
119
],
[
96,
120
],
[
256,
122
],
[
229,
123
],
[
244,
123
],
[
250,
125
],
[
250,
127
],
[
130,
129
],
[
223,
133
],
[
235,
134
],
[
219,
136
],
[
226,
141
],
[
238,
146
],
[
129,
147
],
[
235,
148
],
[
241,
149
],
[
247,
152
],
[
235,
154
],
[
129,
155
],
[
247,
157
],
[
238,
160
],
[
241,
161
],
[
250,
163
],
[
216,
165
],
[
226,
170
],
[
223,
175
],
[
241,
176
],
[
235,
177
],
[
129,
179
],
[
247,
181
],
[
241,
183
],
[
247,
186
],
[
223,
190
],
[
235,
191
],
[
129,
193
],
[
250,
194
],
[
252,
196
],
[
220,
199
],
[
217,
200
],
[
250,
201
],
[
231,
203
],
[
253,
206
],
[
214,
206
],
[
232,
210
],
[
253,
210
],
[
214,
210
],
[
250,
211
],
[
213,
214
],
[
216,
217
],
[
219,
220
],
[
240,
223
],
[
225,
226
],
[
228,
229
],
[
231,
232
],
[
240,
235
],
[
240,
238
],
[
240,
241
],
[
243,
244
],
[
246,
247
],
[
249,
250
],
[
252,
253
]
] | [
"def modpow(a, n, mod):\n res = 1\n while n > 0:\n if (n & 1):\n res = res * a % mod\n a = a * a % mod\n n >>= 1\n return res\n\nDIV = 10**9 + 7\nh, w, a, b = map(int, input().split())\nans = 0\n#最大h+w!までの元と逆元の階乗テーブルを求めておく\n#逆元をFermatの小定理により計算\n#p-2乗は二分累乗法にて高速に計算可能\ntable = [1 for i in range(h + w + 1)]\ninv_table = [1 for i in range(h + w + 1)]\ntemp = 1\nfor i in range(1, h + w + 1):\n temp = temp * i % DIV\n table[i] = temp\n inv_table[i] = modpow(temp, DIV - 2, DIV)\n\nfor i in range(w - b):\n n1 = table[h + i + b - a - 1] * inv_table[b + i] * inv_table[h - a - 1] % DIV\n n2 = table[w + a - b - 2 - i] * inv_table[a - 1] * inv_table[w - b - 1 - i] % DIV\n ans += n1 * n2 % DIV\nans = int(ans)\nprint(ans%DIV)",
"def modpow(a, n, mod):\n res = 1\n while n > 0:\n if (n & 1):\n res = res * a % mod\n a = a * a % mod\n n >>= 1\n return res",
"modpow",
"res = 1",
"res",
"1",
"while n > 0:\n if (n & 1):\n res = res * a % mod\n a = a * a % mod\n n >>= 1\n ",
"n > 0",
"n",
"0",
"if (n & 1):\n res = res * a % mod\n ",
"n & 1",
"n",
"1",
"res = res * a % mod",
"res",
"res * a % mod",
"res * a",
"res",
"a",
"mod",
"a = a * a % mod",
"a",
"a * a % mod",
"a * a",
"a",
"a",
"mod",
"n >>= 1",
"n",
"1",
"return res",
"res",
"a",
"a",
"n",
"n",
"mod",
"mod",
"DIV = 10**9 + 7",
"DIV",
"10**9 + 7",
"10**9",
"10",
"9",
"7",
"h, w, a, b = map(int, input().split())",
"h",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"w",
"a",
"b",
"ans = 0",
"ans",
"0",
"1 for i in range(h + w + 1)",
"for i in range(h + w + 1)",
"i",
"range(h + w + 1)",
"range",
"h + w + 1",
"h + w",
"h",
"w",
"1",
"for i in range(h + w + 1)",
"1",
"table = [1 for i in range(h + w + 1)]",
"table",
"[1 for i in range(h + w + 1)]",
"1 for i in range(h + w + 1)",
"for i in range(h + w + 1)",
"i",
"range(h + w + 1)",
"range",
"h + w + 1",
"h + w",
"h",
"w",
"1",
"for i in range(h + w + 1)",
"1",
"inv_table = [1 for i in range(h + w + 1)]",
"inv_table",
"[1 for i in range(h + w + 1)]",
"temp = 1",
"temp",
"1",
"for i in range(1, h + w + 1):\n temp = temp * i % DIV\n table[i] = temp\n inv_table[i] = modpow(temp, DIV - 2, DIV)",
"i",
"range(1, h + w + 1)",
"range",
"1",
"h + w + 1",
"h + w",
"h",
"w",
"1",
"temp = temp * i % DIV",
"temp",
"temp * i % DIV",
"temp * i",
"temp",
"i",
"DIV",
"table[i] = temp",
"table[i]",
"table",
"i",
"temp",
"inv_table[i] = modpow(temp, DIV - 2, DIV)",
"inv_table[i]",
"inv_table",
"i",
"modpow(temp, DIV - 2, DIV)",
"modpow",
"temp",
"DIV - 2",
"DIV",
"2",
"DIV",
"for i in range(w - b):\n n1 = table[h + i + b - a - 1] * inv_table[b + i] * inv_table[h - a - 1] % DIV\n n2 = table[w + a - b - 2 - i] * inv_table[a - 1] * inv_table[w - b - 1 - i] % DIV\n ans += n1 * n2 % DIV",
"i",
"range(w - b)",
"range",
"w - b",
"w",
"b",
"n1 = table[h + i + b - a - 1] * inv_table[b + i] * inv_table[h - a - 1] % DIV",
"n1",
"table[h + i + b - a - 1] * inv_table[b + i] * inv_table[h - a - 1] % DIV",
"table[h + i + b - a - 1] * inv_table[b + i] * inv_table[h - a - 1]",
"table[h + i + b - a - 1] * inv_table[b + i]",
"table[h + i + b - a - 1]",
"table",
"h + i + b - a - 1",
"h + i + b - a",
"h + i + b",
"h + i",
"h",
"i",
"b",
"a",
"1",
"inv_table[b + i]",
"inv_table",
"b + i",
"b",
"i",
"inv_table[h - a - 1]",
"inv_table",
"h - a - 1",
"h - a",
"h",
"a",
"1",
"DIV",
"n2 = table[w + a - b - 2 - i] * inv_table[a - 1] * inv_table[w - b - 1 - i] % DIV",
"n2",
"table[w + a - b - 2 - i] * inv_table[a - 1] * inv_table[w - b - 1 - i] % DIV",
"table[w + a - b - 2 - i] * inv_table[a - 1] * inv_table[w - b - 1 - i]",
"table[w + a - b - 2 - i] * inv_table[a - 1]",
"table[w + a - b - 2 - i]",
"table",
"w + a - b - 2 - i",
"w + a - b - 2",
"w + a - b",
"w + a",
"w",
"a",
"b",
"2",
"i",
"inv_table[a - 1]",
"inv_table",
"a - 1",
"a",
"1",
"inv_table[w - b - 1 - i]",
"inv_table",
"w - b - 1 - i",
"w - b - 1",
"w - b",
"w",
"b",
"1",
"i",
"DIV",
"ans += n1 * n2 % DIV",
"ans",
"n1 * n2 % DIV",
"n1 * n2",
"n1",
"n2",
"DIV",
"ans = int(ans)",
"ans",
"int(ans)",
"int",
"ans",
"print(ans%DIV)",
"print",
"ans%DIV",
"ans",
"DIV",
"ans = 0",
"0",
"ans",
"n2 = table[w + a - b - 2 - i] * inv_table[a - 1] * inv_table[w - b - 1 - i] % DIV",
"table[w + a - b - 2 - i] * inv_table[a - 1] * inv_table[w - b - 1 - i] % DIV",
"n2",
"n1 = table[h + i + b - a - 1] * inv_table[b + i] * inv_table[h - a - 1] % DIV",
"table[h + i + b - a - 1] * inv_table[b + i] * inv_table[h - a - 1] % DIV",
"n1",
"w, a, b = map(int, input().split())",
"map(int, input().split())",
"w",
"table = [1 for i in range(h + w + 1)]",
"[1 for i in range(h + w + 1)]",
"table",
"temp = temp * i % DIV",
"temp * i % DIV",
"temp",
"ans = int(ans)",
"int(ans)",
"ans",
"b = map(int, input().split())",
"map(int, input().split())",
"b",
"h, w, a, b = map(int, input().split())",
"map(int, input().split())",
"h",
"a, b = map(int, input().split())",
"map(int, input().split())",
"a",
"temp = 1",
"1",
"temp",
"inv_table = [1 for i in range(h + w + 1)]",
"[1 for i in range(h + w + 1)]",
"inv_table",
"DIV = 10**9 + 7",
"10**9 + 7",
"DIV",
"ans += n1 * n2 % DIV",
"n1 * n2 % DIV",
"ans",
"def modpow(a, n, mod):\n res = 1\n while n > 0:\n if (n & 1):\n res = res * a % mod\n a = a * a % mod\n n >>= 1\n return res",
"def modpow(a, n, mod):\n res = 1\n while n > 0:\n if (n & 1):\n res = res * a % mod\n a = a * a % mod\n n >>= 1\n return res",
"modpow"
] | def modpow(a, n, mod):
res = 1
while n > 0:
if (n & 1):
res = res * a % mod
a = a * a % mod
n >>= 1
return res
DIV = 10**9 + 7
h, w, a, b = map(int, input().split())
ans = 0
#最大h+w!までの元と逆元の階乗テーブルを求めておく
#逆元をFermatの小定理により計算
#p-2乗は二分累乗法にて高速に計算可能
table = [1 for i in range(h + w + 1)]
inv_table = [1 for i in range(h + w + 1)]
temp = 1
for i in range(1, h + w + 1):
temp = temp * i % DIV
table[i] = temp
inv_table[i] = modpow(temp, DIV - 2, DIV)
for i in range(w - b):
n1 = table[h + i + b - a - 1] * inv_table[b + i] * inv_table[h - a - 1] % DIV
n2 = table[w + a - b - 2 - i] * inv_table[a - 1] * inv_table[w - b - 1 - i] % DIV
ans += n1 * n2 % DIV
ans = int(ans)
print(ans%DIV) |
[
7,
0,
13,
2,
39,
17,
2,
2,
17,
17,
17,
0,
18,
13,
17,
17,
0,
18,
13,
17,
17,
0,
13,
2,
2,
17,
17,
17,
28,
13,
4,
13,
17,
2,
2,
17,
17,
17,
0,
18,
13,
13,
2,
2,
18,
13,
2,
13,
17,
13,
13,
12,
13,
29,
2,
2,
2,
18,
13,
13,
4,
13,
18,
13,
13,
2,
13,
17,
13,
4,
13,
18,
13,
2,
13,
13,
2,
13,
17,
13,
13,
23,
13,
23,
13,
23,
13,
0,
13,
4,
13,
13,
4,
18,
4,
13,
13,
13,
13,
13,
0,
13,
17,
28,
13,
4,
13,
2,
13,
13,
0,
13,
2,
2,
4,
13,
2,
2,
13,
13,
17,
13,
13,
4,
13,
2,
2,
2,
2,
2,
13,
13,
17,
13,
13,
17,
2,
2,
13,
13,
17,
13,
13,
0,
13,
13,
4,
13,
13,
10,
2,
13,
10,
4,
13,
10,
2,
13,
10,
12,
13,
10,
4,
13,
10,
17,
13,
10,
2,
13,
10,
4,
13,
10,
4,
13,
10,
13,
13
] | [
[
150,
2
],
[
20,
12
],
[
151,
13
],
[
20,
17
],
[
151,
18
],
[
168,
22
],
[
30,
29
],
[
42,
39
],
[
151,
40
],
[
29,
41
],
[
151,
45
],
[
29,
47
],
[
29,
49
],
[
169,
50
],
[
151,
58
],
[
82,
59
],
[
151,
63
],
[
84,
64
],
[
86,
66
],
[
86,
68
],
[
151,
72
],
[
82,
74
],
[
84,
75
],
[
86,
77
],
[
86,
79
],
[
169,
80
],
[
82,
82
],
[
84,
84
],
[
86,
86
],
[
174,
88
],
[
174,
97
],
[
174,
98
],
[
174,
99
],
[
165,
101
],
[
105,
104
],
[
172,
108
],
[
154,
109
],
[
156,
111
],
[
160,
115
],
[
163,
118
],
[
104,
119
],
[
104,
121
],
[
169,
122
],
[
160,
124
],
[
172,
130
],
[
104,
131
],
[
175,
133
],
[
163,
134
],
[
175,
138
],
[
163,
139
],
[
169,
141
],
[
169,
142
],
[
177,
144
],
[
169,
145
],
[
178,
148
],
[
157,
148
],
[
166,
148
],
[
150,
151
],
[
174,
154
],
[
156,
157
],
[
174,
163
],
[
165,
166
],
[
168,
169
],
[
174,
172
],
[
174,
175
],
[
169,
177
],
[
177,
178
]
] | [
"memo=[0]*(10**6+1)\nmemo[0]=memo[1]=1\nmod=10**9+7\nfor i in range(2,10**6+1):\n memo[i]=(memo[i-1]*i)%mod\ndef comb(n,k,p):\n return (memo[n]*pow(memo[k],p-2,p)*pow(memo[n-k],p-2,p))%mod\nh,w,a,b=map(int,input().split())\nans=0\nfor i in range(h-a):\n ans+=(comb(b+i-1,i,mod)*comb(h-i-1+w-b-1,w-b-1,mod))%mod\n ans%=mod\nprint(ans)",
"memo=[0]*(10**6+1)",
"memo",
"[0]*(10**6+1)",
"[0]",
"0",
"10**6+1",
"10**6",
"10",
"6",
"1",
"memo[0]=memo[1]=1",
"memo[0]",
"memo",
"0",
"1",
"=memo[1]=1",
"memo[1]",
"memo",
"1",
"1",
"mod=10**9+7",
"mod",
"10**9+7",
"10**9",
"10",
"9",
"7",
"for i in range(2,10**6+1):\n memo[i]=(memo[i-1]*i)%mod",
"i",
"range(2,10**6+1)",
"range",
"2",
"10**6+1",
"10**6",
"10",
"6",
"1",
"memo[i]=(memo[i-1]*i)%mod",
"memo[i]",
"memo",
"i",
"(memo[i-1]*i)%mod",
"memo[i-1]*i",
"memo[i-1]",
"memo",
"i-1",
"i",
"1",
"i",
"mod",
"def comb(n,k,p):\n return (memo[n]*pow(memo[k],p-2,p)*pow(memo[n-k],p-2,p))%mod",
"comb",
"return (memo[n]*pow(memo[k],p-2,p)*pow(memo[n-k],p-2,p))%mod",
"(memo[n]*pow(memo[k],p-2,p)*pow(memo[n-k],p-2,p))%mod",
"memo[n]*pow(memo[k],p-2,p)*pow(memo[n-k],p-2,p)",
"memo[n]*pow(memo[k],p-2,p)",
"memo[n]",
"memo",
"n",
"pow(memo[k],p-2,p)",
"pow",
"memo[k]",
"memo",
"k",
"p-2",
"p",
"2",
"p",
"pow(memo[n-k],p-2,p)",
"pow",
"memo[n-k]",
"memo",
"n-k",
"n",
"k",
"p-2",
"p",
"2",
"p",
"mod",
"n",
"n",
"k",
"k",
"p",
"p",
"h,w,a,b=map(int,input().split())",
"h",
"map(int,input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"w",
"a",
"b",
"ans=0",
"ans",
"0",
"for i in range(h-a):\n ans+=(comb(b+i-1,i,mod)*comb(h-i-1+w-b-1,w-b-1,mod))%mod\n ans%=mod",
"i",
"range(h-a)",
"range",
"h-a",
"h",
"a",
"ans+=(comb(b+i-1,i,mod)*comb(h-i-1+w-b-1,w-b-1,mod))%mod",
"ans",
"(comb(b+i-1,i,mod)*comb(h-i-1+w-b-1,w-b-1,mod))%mod",
"comb(b+i-1,i,mod)*comb(h-i-1+w-b-1,w-b-1,mod)",
"comb(b+i-1,i,mod)",
"comb",
"b+i-1",
"b+i",
"b",
"i",
"1",
"i",
"mod",
"comb(h-i-1+w-b-1,w-b-1,mod)",
"comb",
"h-i-1+w-b-1",
"h-i-1+w-b",
"h-i-1+w",
"h-i-1",
"h-i",
"h",
"i",
"1",
"w",
"b",
"1",
"w-b-1",
"w-b",
"w",
"b",
"1",
"mod",
"mod",
"ans%=mod",
"ans",
"mod",
"print(ans)",
"print",
"ans",
"memo=[0]*(10**6+1)",
"[0]*(10**6+1)",
"memo",
"a,b=map(int,input().split())",
"map(int,input().split())",
"a",
"ans+=(comb(b+i-1,i,mod)*comb(h-i-1+w-b-1,w-b-1,mod))%mod",
"(comb(b+i-1,i,mod)*comb(h-i-1+w-b-1,w-b-1,mod))%mod",
"ans",
"def comb(n,k,p):\n return (memo[n]*pow(memo[k],p-2,p)*pow(memo[n-k],p-2,p))%mod",
"def comb(n,k,p):\n return (memo[n]*pow(memo[k],p-2,p)*pow(memo[n-k],p-2,p))%mod",
"comb",
"b=map(int,input().split())",
"map(int,input().split())",
"b",
"ans=0",
"0",
"ans",
"mod=10**9+7",
"10**9+7",
"mod",
"h,w,a,b=map(int,input().split())",
"map(int,input().split())",
"h",
"w,a,b=map(int,input().split())",
"map(int,input().split())",
"w",
"ans%=mod",
"mod",
"ans"
] | memo=[0]*(10**6+1)
memo[0]=memo[1]=1
mod=10**9+7
for i in range(2,10**6+1):
memo[i]=(memo[i-1]*i)%mod
def comb(n,k,p):
return (memo[n]*pow(memo[k],p-2,p)*pow(memo[n-k],p-2,p))%mod
h,w,a,b=map(int,input().split())
ans=0
for i in range(h-a):
ans+=(comb(b+i-1,i,mod)*comb(h-i-1+w-b-1,w-b-1,mod))%mod
ans%=mod
print(ans) |
[
7,
15,
13,
0,
13,
18,
18,
13,
13,
13,
0,
13,
2,
2,
17,
17,
17,
0,
13,
4,
13,
17,
4,
18,
13,
13,
2,
17,
17,
12,
13,
0,
13,
17,
0,
13,
4,
13,
2,
13,
13,
13,
28,
13,
4,
13,
13,
0,
13,
2,
13,
13,
0,
13,
13,
0,
13,
4,
13,
2,
13,
13,
2,
13,
17,
13,
29,
13,
23,
13,
23,
13,
12,
13,
0,
13,
4,
13,
13,
4,
18,
4,
13,
13,
13,
13,
13,
0,
13,
17,
0,
13,
17,
0,
13,
4,
13,
2,
2,
2,
2,
13,
13,
17,
13,
17,
2,
2,
13,
13,
17,
28,
13,
4,
13,
2,
13,
13,
0,
13,
2,
13,
13,
0,
13,
13,
0,
13,
2,
2,
2,
13,
17,
13,
17,
0,
13,
13,
0,
13,
4,
13,
2,
13,
17,
2,
13,
17,
13,
0,
13,
13,
0,
13,
4,
13,
2,
2,
2,
2,
2,
13,
17,
13,
13,
17,
13,
2,
13,
17,
13,
0,
13,
13,
0,
13,
2,
2,
2,
2,
2,
2,
13,
17,
13,
13,
17,
13,
2,
2,
13,
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17,
0,
13,
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4,
13,
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14,
2,
13,
17,
4,
13,
10,
2,
13,
10,
18,
13,
10,
12,
13,
10,
4,
13,
10,
12,
13
] | [
[
209,
4
],
[
206,
11
],
[
215,
18
],
[
33,
32
],
[
36,
35
],
[
69,
39
],
[
71,
40
],
[
71,
41
],
[
44,
43
],
[
35,
46
],
[
71,
46
],
[
49,
48
],
[
69,
50
],
[
43,
51
],
[
54,
53
],
[
207,
54
],
[
57,
56
],
[
35,
60
],
[
71,
60
],
[
43,
61
],
[
207,
63
],
[
207,
65
],
[
56,
67
],
[
53,
67
],
[
48,
67
],
[
32,
67
],
[
69,
69
],
[
71,
71
],
[
76,
75
],
[
210,
82
],
[
76,
84
],
[
76,
85
],
[
76,
86
],
[
89,
88
],
[
92,
91
],
[
95,
94
],
[
213,
96
],
[
84,
101
],
[
86,
102
],
[
75,
104
],
[
84,
108
],
[
86,
109
],
[
113,
112
],
[
75,
116
],
[
85,
117
],
[
120,
119
],
[
91,
121
],
[
150,
121
],
[
139,
121
],
[
136,
121
],
[
127,
121
],
[
94,
122
],
[
194,
122
],
[
175,
122
],
[
172,
122
],
[
153,
122
],
[
125,
124
],
[
207,
125
],
[
128,
127
],
[
86,
131
],
[
112,
133
],
[
137,
136
],
[
207,
137
],
[
140,
139
],
[
112,
143
],
[
207,
146
],
[
207,
148
],
[
151,
150
],
[
207,
151
],
[
154,
153
],
[
84,
161
],
[
86,
163
],
[
75,
164
],
[
112,
166
],
[
207,
168
],
[
207,
170
],
[
173,
172
],
[
207,
173
],
[
176,
175
],
[
84,
182
],
[
86,
184
],
[
75,
185
],
[
112,
187
],
[
84,
190
],
[
86,
191
],
[
195,
194
],
[
207,
195
],
[
124,
198
],
[
119,
198
],
[
88,
198
],
[
219,
204
],
[
206,
207
],
[
209,
210
],
[
215,
216
]
] | [
"import sys\n\nreadline = sys.stdin.readline\nMOD = 10 ** 9 + 7\nINF = float('INF')\nsys.setrecursionlimit(10 ** 5)\n\n\ndef comb_mod(n, r):\n res = 1\n r = min(n - r, r)\n\n for i in range(r):\n res *= (n - i)\n res %= MOD\n res *= pow((r - i), MOD - 2, MOD)\n\n return res\n\n\ndef main():\n h, w, a, b = map(int, readline().split())\n\n ans = 0\n comb1 = 1\n comb2 = comb_mod(w - b - 1 + h - 1, w - b - 1)\n\n for i in range(h - a):\n ans += comb1 * comb2\n ans %= MOD\n comb1 *= (b - 1 + i + 1)\n comb1 %= MOD\n comb1 *= pow(i + 1, MOD - 2, MOD)\n comb1 %= MOD\n comb2 *= pow(w - 1 - b + h - 1 - i, MOD - 2, MOD)\n comb2 %= MOD\n comb2 *= w - 1 - b + h- 1 - i - (w - b - 1)\n comb2 %= MOD\n\n print(ans)\n\n\nif __name__ == '__main__':\n main()",
"import sys",
"sys",
"readline = sys.stdin.readline",
"readline",
"sys.stdin.readline",
"sys.stdin",
"sys",
"stdin",
"readline",
"MOD = 10 ** 9 + 7",
"MOD",
"10 ** 9 + 7",
"10 ** 9",
"10",
"9",
"7",
"INF = float('INF')",
"INF",
"float('INF')",
"float",
"'INF'",
"sys.setrecursionlimit(10 ** 5)",
"sys.setrecursionlimit",
"sys",
"setrecursionlimit",
"10 ** 5",
"10",
"5",
"def comb_mod(n, r):\n res = 1\n r = min(n - r, r)\n\n for i in range(r):\n res *= (n - i)\n res %= MOD\n res *= pow((r - i), MOD - 2, MOD)\n\n return res",
"comb_mod",
"res = 1",
"res",
"1",
"r = min(n - r, r)",
"r",
"min(n - r, r)",
"min",
"n - r",
"n",
"r",
"r",
"for i in range(r):\n res *= (n - i)\n res %= MOD\n res *= pow((r - i), MOD - 2, MOD)\n\n ",
"i",
"range(r)",
"range",
"r",
"res *= (n - i)",
"res",
"n - i",
"n",
"i",
"res %= MOD",
"res",
"MOD",
"res *= pow((r - i), MOD - 2, MOD)",
"res",
"pow((r - i), MOD - 2, MOD)",
"pow",
"r - i",
"r",
"i",
"MOD - 2",
"MOD",
"2",
"MOD",
"return res",
"res",
"n",
"n",
"r",
"r",
"def main():\n h, w, a, b = map(int, readline().split())\n\n ans = 0\n comb1 = 1\n comb2 = comb_mod(w - b - 1 + h - 1, w - b - 1)\n\n for i in range(h - a):\n ans += comb1 * comb2\n ans %= MOD\n comb1 *= (b - 1 + i + 1)\n comb1 %= MOD\n comb1 *= pow(i + 1, MOD - 2, MOD)\n comb1 %= MOD\n comb2 *= pow(w - 1 - b + h - 1 - i, MOD - 2, MOD)\n comb2 %= MOD\n comb2 *= w - 1 - b + h- 1 - i - (w - b - 1)\n comb2 %= MOD\n\n print(ans)",
"main",
"h, w, a, b = map(int, readline().split())",
"h",
"map(int, readline().split())",
"map",
"int",
"readline().split()",
"().split",
"()",
"readline",
"split",
"w",
"a",
"b",
"ans = 0",
"ans",
"0",
"comb1 = 1",
"comb1",
"1",
"comb2 = comb_mod(w - b - 1 + h - 1, w - b - 1)",
"comb2",
"comb_mod(w - b - 1 + h - 1, w - b - 1)",
"comb_mod",
"w - b - 1 + h - 1",
"w - b - 1 + h",
"w - b - 1",
"w - b",
"w",
"b",
"1",
"h",
"1",
"w - b - 1",
"w - b",
"w",
"b",
"1",
"for i in range(h - a):\n ans += comb1 * comb2\n ans %= MOD\n comb1 *= (b - 1 + i + 1)\n comb1 %= MOD\n comb1 *= pow(i + 1, MOD - 2, MOD)\n comb1 %= MOD\n comb2 *= pow(w - 1 - b + h - 1 - i, MOD - 2, MOD)\n comb2 %= MOD\n comb2 *= w - 1 - b + h- 1 - i - (w - b - 1)\n comb2 %= MOD\n\n ",
"i",
"range(h - a)",
"range",
"h - a",
"h",
"a",
"ans += comb1 * comb2",
"ans",
"comb1 * comb2",
"comb1",
"comb2",
"ans %= MOD",
"ans",
"MOD",
"comb1 *= (b - 1 + i + 1)",
"comb1",
"b - 1 + i + 1",
"b - 1 + i",
"b - 1",
"b",
"1",
"i",
"1",
"comb1 %= MOD",
"comb1",
"MOD",
"comb1 *= pow(i + 1, MOD - 2, MOD)",
"comb1",
"pow(i + 1, MOD - 2, MOD)",
"pow",
"i + 1",
"i",
"1",
"MOD - 2",
"MOD",
"2",
"MOD",
"comb1 %= MOD",
"comb1",
"MOD",
"comb2 *= pow(w - 1 - b + h - 1 - i, MOD - 2, MOD)",
"comb2",
"pow(w - 1 - b + h - 1 - i, MOD - 2, MOD)",
"pow",
"w - 1 - b + h - 1 - i",
"w - 1 - b + h - 1",
"w - 1 - b + h",
"w - 1 - b",
"w - 1",
"w",
"1",
"b",
"h",
"1",
"i",
"MOD - 2",
"MOD",
"2",
"MOD",
"comb2 %= MOD",
"comb2",
"MOD",
"comb2 *= w - 1 - b + h- 1 - i - (w - b - 1)",
"comb2",
"w - 1 - b + h- 1 - i - (w - b - 1)",
"w - 1 - b + h- 1 - i",
"w - 1 - b + h- 1",
"w - 1 - b + h",
"w - 1 - b",
"w - 1",
"w",
"1",
"b",
"h",
"1",
"i",
"w - b - 1",
"w - b",
"w",
"b",
"1",
"comb2 %= MOD",
"comb2",
"MOD",
"print(ans)",
"print",
"ans",
"if __name__ == '__main__':\n main()",
"__name__ == '__main__'",
"__name__",
"'__main__'",
"main()",
"main",
"MOD = 10 ** 9 + 7",
"10 ** 9 + 7",
"MOD",
"readline = sys.stdin.readline",
"sys.stdin.readline",
"readline",
"def comb_mod(n, r):\n res = 1\n r = min(n - r, r)\n\n for i in range(r):\n res *= (n - i)\n res %= MOD\n res *= pow((r - i), MOD - 2, MOD)\n\n return res",
"def comb_mod(n, r):\n res = 1\n r = min(n - r, r)\n\n for i in range(r):\n res *= (n - i)\n res %= MOD\n res *= pow((r - i), MOD - 2, MOD)\n\n return res",
"comb_mod",
"INF = float('INF')",
"float('INF')",
"INF",
"def main():\n h, w, a, b = map(int, readline().split())\n\n ans = 0\n comb1 = 1\n comb2 = comb_mod(w - b - 1 + h - 1, w - b - 1)\n\n for i in range(h - a):\n ans += comb1 * comb2\n ans %= MOD\n comb1 *= (b - 1 + i + 1)\n comb1 %= MOD\n comb1 *= pow(i + 1, MOD - 2, MOD)\n comb1 %= MOD\n comb2 *= pow(w - 1 - b + h - 1 - i, MOD - 2, MOD)\n comb2 %= MOD\n comb2 *= w - 1 - b + h- 1 - i - (w - b - 1)\n comb2 %= MOD\n\n print(ans)",
"def main():\n h, w, a, b = map(int, readline().split())\n\n ans = 0\n comb1 = 1\n comb2 = comb_mod(w - b - 1 + h - 1, w - b - 1)\n\n for i in range(h - a):\n ans += comb1 * comb2\n ans %= MOD\n comb1 *= (b - 1 + i + 1)\n comb1 %= MOD\n comb1 *= pow(i + 1, MOD - 2, MOD)\n comb1 %= MOD\n comb2 *= pow(w - 1 - b + h - 1 - i, MOD - 2, MOD)\n comb2 %= MOD\n comb2 *= w - 1 - b + h- 1 - i - (w - b - 1)\n comb2 %= MOD\n\n print(ans)",
"main"
] | import sys
readline = sys.stdin.readline
MOD = 10 ** 9 + 7
INF = float('INF')
sys.setrecursionlimit(10 ** 5)
def comb_mod(n, r):
res = 1
r = min(n - r, r)
for i in range(r):
res *= (n - i)
res %= MOD
res *= pow((r - i), MOD - 2, MOD)
return res
def main():
h, w, a, b = map(int, readline().split())
ans = 0
comb1 = 1
comb2 = comb_mod(w - b - 1 + h - 1, w - b - 1)
for i in range(h - a):
ans += comb1 * comb2
ans %= MOD
comb1 *= (b - 1 + i + 1)
comb1 %= MOD
comb1 *= pow(i + 1, MOD - 2, MOD)
comb1 %= MOD
comb2 *= pow(w - 1 - b + h - 1 - i, MOD - 2, MOD)
comb2 %= MOD
comb2 *= w - 1 - b + h- 1 - i - (w - b - 1)
comb2 %= MOD
print(ans)
if __name__ == '__main__':
main()
|
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] | [
"import sys\n\nsys.setrecursionlimit(10 ** 7)\ninput = sys.stdin.readline\nf_inf = float('inf')\nmod = 10 ** 9 + 7\n\nclass CmbMod:\n def __init__(self, n, p):\n \"\"\"\n 二項係数nCr(n個の区別できるものからr個のものを選ぶ組み合わせの数)をpで割った余りを求める\n \"\"\"\n self.n = n\n self.p = p\n self.fact = [1, 1]\n self.factinv = [1, 1]\n self.inv = [0, 1]\n\n def cmb_mod(self, n, r):\n \"\"\"\n 二項係数nCr(mod p)をO(r)にて計算。nが大きいがrは小さい時に使用。\n \"\"\"\n numer, denom = 1, 1\n for i in range(r):\n numer = (numer * (n - i)) % self.p\n denom = (denom * (i + 1)) % self.p\n return (numer * pow(denom, self.p - 2, self.p)) % self.p\n\n def prep(self):\n \"\"\"\n 二項係数nCr(mod p)をO(1)で求める為の前処理をO(N)にて実行。\n \"\"\"\n for i in range(2, self.n + 1):\n self.fact.append((self.fact[-1] * i) % self.p)\n self.inv.append((-self.inv[self.p % i] * (self.p // i)) % self.p)\n self.factinv.append((self.factinv[-1] * self.inv[-1]) % self.p)\n\n def cmb_mod_with_prep(self, n, r):\n \"\"\"\n 二項係数nCr(mod p)をO(1)で求める。事前にprepを実行する事。\n \"\"\"\n if (r < 0) or (n < r):\n return 0\n r = min(r, n - r)\n return self.fact[n] * self.factinv[r] * self.factinv[n - r] % self.p\n\n\ndef resolve():\n H, W, A, B = map(int, input().split())\n H -= 1\n W -= 1\n cmb = CmbMod(H + W, mod)\n cmb.prep()\n total = cmb.cmb_mod_with_prep(H + W, H)\n for w in range(B):\n tmp = (cmb.cmb_mod_with_prep(H - A + w, w) * cmb.cmb_mod_with_prep(A - 1 + W - w, A - 1)) % mod\n total -= tmp\n total %= mod\n print(total)\n\n\nif __name__ == '__main__':\n resolve()",
"import sys",
"sys",
"sys.setrecursionlimit(10 ** 7)",
"sys.setrecursionlimit",
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"float",
"'inf'",
"mod = 10 ** 9 + 7",
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"10 ** 9",
"10",
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"class CmbMod:\n def __init__(self, n, p):\n \"\"\"\n 二項係数nCr(n個の区別できるものからr個のものを選ぶ組み合わせの数)をpで割った余りを求める\n \"\"\"\n self.n = n\n self.p = p\n self.fact = [1, 1]\n self.factinv = [1, 1]\n self.inv = [0, 1]\n\n def cmb_mod(self, n, r):\n \"\"\"\n 二項係数nCr(mod p)をO(r)にて計算。nが大きいがrは小さい時に使用。\n \"\"\"\n numer, denom = 1, 1\n for i in range(r):\n numer = (numer * (n - i)) % self.p\n denom = (denom * (i + 1)) % self.p\n return (numer * pow(denom, self.p - 2, self.p)) % self.p\n\n def prep(self):\n \"\"\"\n 二項係数nCr(mod p)をO(1)で求める為の前処理をO(N)にて実行。\n \"\"\"\n for i in range(2, self.n + 1):\n self.fact.append((self.fact[-1] * i) % self.p)\n self.inv.append((-self.inv[self.p % i] * (self.p // i)) % self.p)\n self.factinv.append((self.factinv[-1] * self.inv[-1]) % self.p)\n\n def cmb_mod_with_prep(self, n, r):\n \"\"\"\n 二項係数nCr(mod p)をO(1)で求める。事前にprepを実行する事。\n \"\"\"\n if (r < 0) or (n < r):\n return 0\n r = min(r, n - r)\n return self.fact[n] * self.factinv[r] * self.factinv[n - r] % self.p",
"CmbMod",
"def __init__(self, n, p):\n \"\"\"\n 二項係数nCr(n個の区別できるものからr個のものを選ぶ組み合わせの数)をpで割った余りを求める\n \"\"\"\n self.n = n\n self.p = p\n self.fact = [1, 1]\n self.factinv = [1, 1]\n self.inv = [0, 1]\n\n ",
"__init__",
"\"\"\"\n 二項係数nCr(n個の区別できるものからr個のものを選ぶ組み合わせの数)をpで割った余りを求める\n \"\"\"",
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"cmb_mod",
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"def prep(self):\n \"\"\"\n 二項係数nCr(mod p)をO(1)で求める為の前処理をO(N)にて実行。\n \"\"\"\n for i in range(2, self.n + 1):\n self.fact.append((self.fact[-1] * i) % self.p)\n self.inv.append((-self.inv[self.p % i] * (self.p // i)) % self.p)\n self.factinv.append((self.factinv[-1] * self.inv[-1]) % self.p)\n\n ",
"prep",
"\"\"\"\n 二項係数nCr(mod p)をO(1)で求める為の前処理をO(N)にて実行。\n \"\"\"",
"for i in range(2, self.n + 1):\n self.fact.append((self.fact[-1] * i) % self.p)\n self.inv.append((-self.inv[self.p % i] * (self.p // i)) % self.p)\n self.factinv.append((self.factinv[-1] * self.inv[-1]) % self.p)\n\n ",
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"def cmb_mod_with_prep(self, n, r):\n \"\"\"\n 二項係数nCr(mod p)をO(1)で求める。事前にprepを実行する事。\n \"\"\"\n if (r < 0) or (n < r):\n return 0\n r = min(r, n - r)\n return self.fact[n] * self.factinv[r] * self.factinv[n - r] % self.p",
"cmb_mod_with_prep",
"\"\"\"\n 二項係数nCr(mod p)をO(1)で求める。事前にprepを実行する事。\n \"\"\"",
"if (r < 0) or (n < r):\n return 0\n ",
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"self.fact[n] * self.factinv[r] * self.factinv[n - r] % self.p",
"self.fact[n] * self.factinv[r] * self.factinv[n - r]",
"self.fact[n] * self.factinv[r]",
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"r",
"def resolve():\n H, W, A, B = map(int, input().split())\n H -= 1\n W -= 1\n cmb = CmbMod(H + W, mod)\n cmb.prep()\n total = cmb.cmb_mod_with_prep(H + W, H)\n for w in range(B):\n tmp = (cmb.cmb_mod_with_prep(H - A + w, w) * cmb.cmb_mod_with_prep(A - 1 + W - w, A - 1)) % mod\n total -= tmp\n total %= mod\n print(total)",
"resolve",
"H, W, A, B = map(int, input().split())",
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"H",
"for w in range(B):\n tmp = (cmb.cmb_mod_with_prep(H - A + w, w) * cmb.cmb_mod_with_prep(A - 1 + W - w, A - 1)) % mod\n total -= tmp\n total %= mod\n ",
"w",
"range(B)",
"range",
"B",
"tmp = (cmb.cmb_mod_with_prep(H - A + w, w) * cmb.cmb_mod_with_prep(A - 1 + W - w, A - 1)) % mod",
"tmp",
"(cmb.cmb_mod_with_prep(H - A + w, w) * cmb.cmb_mod_with_prep(A - 1 + W - w, A - 1)) % mod",
"cmb.cmb_mod_with_prep(H - A + w, w) * cmb.cmb_mod_with_prep(A - 1 + W - w, A - 1)",
"cmb.cmb_mod_with_prep(H - A + w, w)",
"cmb.cmb_mod_with_prep",
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"cmb_mod_with_prep",
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"total",
"if __name__ == '__main__':\n resolve()",
"__name__ == '__main__'",
"__name__",
"'__main__'",
"resolve()",
"resolve",
"f_inf = float('inf')",
"float('inf')",
"f_inf",
"def resolve():\n H, W, A, B = map(int, input().split())\n H -= 1\n W -= 1\n cmb = CmbMod(H + W, mod)\n cmb.prep()\n total = cmb.cmb_mod_with_prep(H + W, H)\n for w in range(B):\n tmp = (cmb.cmb_mod_with_prep(H - A + w, w) * cmb.cmb_mod_with_prep(A - 1 + W - w, A - 1)) % mod\n total -= tmp\n total %= mod\n print(total)",
"def resolve():\n H, W, A, B = map(int, input().split())\n H -= 1\n W -= 1\n cmb = CmbMod(H + W, mod)\n cmb.prep()\n total = cmb.cmb_mod_with_prep(H + W, H)\n for w in range(B):\n tmp = (cmb.cmb_mod_with_prep(H - A + w, w) * cmb.cmb_mod_with_prep(A - 1 + W - w, A - 1)) % mod\n total -= tmp\n total %= mod\n print(total)",
"resolve",
"class CmbMod:\n def __init__(self, n, p):\n \"\"\"\n 二項係数nCr(n個の区別できるものからr個のものを選ぶ組み合わせの数)をpで割った余りを求める\n \"\"\"\n self.n = n\n self.p = p\n self.fact = [1, 1]\n self.factinv = [1, 1]\n self.inv = [0, 1]\n\n def cmb_mod(self, n, r):\n \"\"\"\n 二項係数nCr(mod p)をO(r)にて計算。nが大きいがrは小さい時に使用。\n \"\"\"\n numer, denom = 1, 1\n for i in range(r):\n numer = (numer * (n - i)) % self.p\n denom = (denom * (i + 1)) % self.p\n return (numer * pow(denom, self.p - 2, self.p)) % self.p\n\n def prep(self):\n \"\"\"\n 二項係数nCr(mod p)をO(1)で求める為の前処理をO(N)にて実行。\n \"\"\"\n for i in range(2, self.n + 1):\n self.fact.append((self.fact[-1] * i) % self.p)\n self.inv.append((-self.inv[self.p % i] * (self.p // i)) % self.p)\n self.factinv.append((self.factinv[-1] * self.inv[-1]) % self.p)\n\n def cmb_mod_with_prep(self, n, r):\n \"\"\"\n 二項係数nCr(mod p)をO(1)で求める。事前にprepを実行する事。\n \"\"\"\n if (r < 0) or (n < r):\n return 0\n r = min(r, n - r)\n return self.fact[n] * self.factinv[r] * self.factinv[n - r] % self.p",
"class CmbMod:\n def __init__(self, n, p):\n \"\"\"\n 二項係数nCr(n個の区別できるものからr個のものを選ぶ組み合わせの数)をpで割った余りを求める\n \"\"\"\n self.n = n\n self.p = p\n self.fact = [1, 1]\n self.factinv = [1, 1]\n self.inv = [0, 1]\n\n def cmb_mod(self, n, r):\n \"\"\"\n 二項係数nCr(mod p)をO(r)にて計算。nが大きいがrは小さい時に使用。\n \"\"\"\n numer, denom = 1, 1\n for i in range(r):\n numer = (numer * (n - i)) % self.p\n denom = (denom * (i + 1)) % self.p\n return (numer * pow(denom, self.p - 2, self.p)) % self.p\n\n def prep(self):\n \"\"\"\n 二項係数nCr(mod p)をO(1)で求める為の前処理をO(N)にて実行。\n \"\"\"\n for i in range(2, self.n + 1):\n self.fact.append((self.fact[-1] * i) % self.p)\n self.inv.append((-self.inv[self.p % i] * (self.p // i)) % self.p)\n self.factinv.append((self.factinv[-1] * self.inv[-1]) % self.p)\n\n def cmb_mod_with_prep(self, n, r):\n \"\"\"\n 二項係数nCr(mod p)をO(1)で求める。事前にprepを実行する事。\n \"\"\"\n if (r < 0) or (n < r):\n return 0\n r = min(r, n - r)\n return self.fact[n] * self.factinv[r] * self.factinv[n - r] % self.p",
"CmbMod",
"mod = 10 ** 9 + 7",
"10 ** 9 + 7",
"mod",
"input = sys.stdin.readline",
"sys.stdin.readline",
"input"
] | import sys
sys.setrecursionlimit(10 ** 7)
input = sys.stdin.readline
f_inf = float('inf')
mod = 10 ** 9 + 7
class CmbMod:
def __init__(self, n, p):
"""
二項係数nCr(n個の区別できるものからr個のものを選ぶ組み合わせの数)をpで割った余りを求める
"""
self.n = n
self.p = p
self.fact = [1, 1]
self.factinv = [1, 1]
self.inv = [0, 1]
def cmb_mod(self, n, r):
"""
二項係数nCr(mod p)をO(r)にて計算。nが大きいがrは小さい時に使用。
"""
numer, denom = 1, 1
for i in range(r):
numer = (numer * (n - i)) % self.p
denom = (denom * (i + 1)) % self.p
return (numer * pow(denom, self.p - 2, self.p)) % self.p
def prep(self):
"""
二項係数nCr(mod p)をO(1)で求める為の前処理をO(N)にて実行。
"""
for i in range(2, self.n + 1):
self.fact.append((self.fact[-1] * i) % self.p)
self.inv.append((-self.inv[self.p % i] * (self.p // i)) % self.p)
self.factinv.append((self.factinv[-1] * self.inv[-1]) % self.p)
def cmb_mod_with_prep(self, n, r):
"""
二項係数nCr(mod p)をO(1)で求める。事前にprepを実行する事。
"""
if (r < 0) or (n < r):
return 0
r = min(r, n - r)
return self.fact[n] * self.factinv[r] * self.factinv[n - r] % self.p
def resolve():
H, W, A, B = map(int, input().split())
H -= 1
W -= 1
cmb = CmbMod(H + W, mod)
cmb.prep()
total = cmb.cmb_mod_with_prep(H + W, H)
for w in range(B):
tmp = (cmb.cmb_mod_with_prep(H - A + w, w) * cmb.cmb_mod_with_prep(A - 1 + W - w, A - 1)) % mod
total -= tmp
total %= mod
print(total)
if __name__ == '__main__':
resolve()
|
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] | [
"H,W,A,B = map(int, input().split())\n\ndef cmb(n, r, mod):\n if ( r<0 or r>n ):\n return 0\n r = min(r, n-r)\n return g1[n] * g2[r] * g2[n-r] % mod\n\nmod = 10**9+7 #出力の制限\nn = 3*10**5\ng1 = [1, 1] # 元テーブル\ng2 = [1, 1] #逆元テーブル\ninverse = [0, 1] #逆元テーブル計算用テーブル\n\nfor i in range( 2, n + 1 ):\n g1.append( ( g1[-1] * i ) % mod )\n inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )\n g2.append( (g2[-1] * inverse[-1]) % mod )\n\nL = []\ni = H-A\nj = B+1\nwhile i > 0 and j <= W:\n L.append((i, j))\n i -= 1\n j += 1\n \nans = 0\nfor t in L:\n i = t[0]\n j = t[1]\n ans += (cmb(i+j-2, i-1, mod) * cmb(H-i+W-j, H-i, mod)) % mod\n ans %= mod\n \nprint(ans)",
"H,W,A,B = map(int, input().split())",
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"def cmb(n, r, mod):\n if ( r<0 or r>n ):\n return 0\n r = min(r, n-r)\n return g1[n] * g2[r] * g2[n-r] % mod",
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"[0, 1]",
"inverse",
"W,A,B = map(int, input().split())",
"map(int, input().split())",
"W",
"j = B+1",
"B+1",
"j",
"n = 3*10**5",
"3*10**5",
"n",
"ans %= mod",
"mod",
"ans",
"H,W,A,B = map(int, input().split())",
"map(int, input().split())",
"H",
"B = map(int, input().split())",
"map(int, input().split())",
"B",
"g1 = [1, 1]",
"[1, 1]",
"g1",
"L = []",
"[]",
"L"
] | H,W,A,B = map(int, input().split())
def cmb(n, r, mod):
if ( r<0 or r>n ):
return 0
r = min(r, n-r)
return g1[n] * g2[r] * g2[n-r] % mod
mod = 10**9+7 #出力の制限
n = 3*10**5
g1 = [1, 1] # 元テーブル
g2 = [1, 1] #逆元テーブル
inverse = [0, 1] #逆元テーブル計算用テーブル
for i in range( 2, n + 1 ):
g1.append( ( g1[-1] * i ) % mod )
inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
g2.append( (g2[-1] * inverse[-1]) % mod )
L = []
i = H-A
j = B+1
while i > 0 and j <= W:
L.append((i, j))
i -= 1
j += 1
ans = 0
for t in L:
i = t[0]
j = t[1]
ans += (cmb(i+j-2, i-1, mod) * cmb(H-i+W-j, H-i, mod)) % mod
ans %= mod
print(ans) |
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[
5,
4
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[
5,
13
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[
5,
14
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[
5,
15
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[
18,
17
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[
4,
19
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[
22,
21
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[
13,
23
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[
27,
26
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[
34,
33
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[
17,
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[
21,
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13,
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41,
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33,
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33,
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53,
52
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[
33,
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62,
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[
40,
59
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[
70,
66
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[
46,
67
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[
78,
74
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[
52,
75
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[
83,
82
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[
33,
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91,
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40,
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82,
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82,
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98
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26,
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[
104,
101
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52,
102
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[
82,
103
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[
52,
108
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[
26,
110
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[
82,
111
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26,
113
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[
82,
114
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[
26,
115
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[
120,
117
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[
46,
118
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[
82,
119
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[
46,
123
],
[
82,
125
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[
101,
127
],
[
52,
128
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[
82,
129
],
[
26,
130
],
[
135,
134
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[
40,
138
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[
155,
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[
46,
141
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[
157,
142
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[
26,
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[
134,
147
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[
46,
149
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[
155,
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[
157,
152
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[
26,
153
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[
155,
155
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[
157,
157
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[
160,
159
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[
163,
162
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[
15,
165
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[
21,
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[
13,
167
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[
171,
170
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[
17,
172
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[
4,
172
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[
14,
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[
176,
175
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[
132,
179
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[
162,
181
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[
170,
182
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[
162,
183
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[
132,
185
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[
17,
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[
4,
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[
21,
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[
13,
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[
162,
192
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[
170,
193
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[
21,
196
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[
13,
196
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[
162,
197
],
[
26,
198
],
[
201,
200
],
[
175,
201
],
[
204,
203
],
[
26,
204
],
[
203,
207
],
[
200,
207
],
[
159,
207
],
[
216,
213
]
] | [
"def main():\n\tH, W, A, B = map(int, input().split())\n\tH, W= H-1, W-1\n\tDIV = 10**9+7\n\tsize = H+W+1\n\n\tfact = [0]*size\n\tinverse = [0]*size\n\tinv_cal = [0]*size\n\tfact[:2] = [1, 1]\n\tinverse[:2] = [1, 1]\n\tinv_cal[:2] = [0, 1]\n\n\tfor i in range(2, size):\n\t\tfact[i] = (fact[i-1]*i%DIV)\n\t\tinv_cal[i] = (-inv_cal[DIV%i]*(DIV//i))%DIV\n\t\tinverse[i] = inverse[i-1]*inv_cal[i]%DIV\n\n\tdef C(n, r):\n\t\tans = fact[n]*inverse[r]%DIV\n\t\treturn ans*inverse[n-r]%DIV\n\n\tans = 0\n\tfor x in range(B, W+1):\n\t\ty = H-A\n\t\ttmp = (C(x+y, x)*C(H+W-x-y-1, W-x))%DIV\n\t\tans += tmp\n\t\tans %= DIV\n\n\tprint(ans)\n\n\nif __name__ == '__main__':\n\tmain()",
"def main():\n\tH, W, A, B = map(int, input().split())\n\tH, W= H-1, W-1\n\tDIV = 10**9+7\n\tsize = H+W+1\n\n\tfact = [0]*size\n\tinverse = [0]*size\n\tinv_cal = [0]*size\n\tfact[:2] = [1, 1]\n\tinverse[:2] = [1, 1]\n\tinv_cal[:2] = [0, 1]\n\n\tfor i in range(2, size):\n\t\tfact[i] = (fact[i-1]*i%DIV)\n\t\tinv_cal[i] = (-inv_cal[DIV%i]*(DIV//i))%DIV\n\t\tinverse[i] = inverse[i-1]*inv_cal[i]%DIV\n\n\tdef C(n, r):\n\t\tans = fact[n]*inverse[r]%DIV\n\t\treturn ans*inverse[n-r]%DIV\n\n\tans = 0\n\tfor x in range(B, W+1):\n\t\ty = H-A\n\t\ttmp = (C(x+y, x)*C(H+W-x-y-1, W-x))%DIV\n\t\tans += tmp\n\t\tans %= DIV\n\n\tprint(ans)",
"main",
"H, W, A, B = map(int, input().split())",
"H",
"map(int, input().split())",
"map",
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"input().split()",
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"W",
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"DIV = 10**9+7",
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"10**9",
"10",
"9",
"7",
"size = H+W+1",
"size",
"H+W+1",
"H+W",
"H",
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"fact = [0]*size",
"fact",
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"[0]",
"0",
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"fact[:2]",
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"inverse[:2] = [1, 1]",
"inverse[:2]",
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"inv_cal[:2] = [0, 1]",
"inv_cal[:2]",
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"2",
"[0, 1]",
"0",
"1",
"for i in range(2, size):\n\t\tfact[i] = (fact[i-1]*i%DIV)\n\t\tinv_cal[i] = (-inv_cal[DIV%i]*(DIV//i))%DIV\n\t\tinverse[i] = inverse[i-1]*inv_cal[i]%DIV\n\n\t",
"i",
"range(2, size)",
"range",
"2",
"size",
"fact[i] = (fact[i-1]*i%DIV)",
"fact[i]",
"fact",
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"fact[i-1]*i",
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"fact",
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"inv_cal[i]",
"inv_cal",
"i",
"(-inv_cal[DIV%i]*(DIV//i))%DIV",
"-inv_cal[DIV%i]*(DIV//i)",
"-inv_cal[DIV%i]",
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"inv_cal",
"DIV%i",
"DIV",
"i",
"DIV//i",
"DIV",
"i",
"DIV",
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"inverse[i]",
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"y = H-A",
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"def main():\n\tH, W, A, B = map(int, input().split())\n\tH, W= H-1, W-1\n\tDIV = 10**9+7\n\tsize = H+W+1\n\n\tfact = [0]*size\n\tinverse = [0]*size\n\tinv_cal = [0]*size\n\tfact[:2] = [1, 1]\n\tinverse[:2] = [1, 1]\n\tinv_cal[:2] = [0, 1]\n\n\tfor i in range(2, size):\n\t\tfact[i] = (fact[i-1]*i%DIV)\n\t\tinv_cal[i] = (-inv_cal[DIV%i]*(DIV//i))%DIV\n\t\tinverse[i] = inverse[i-1]*inv_cal[i]%DIV\n\n\tdef C(n, r):\n\t\tans = fact[n]*inverse[r]%DIV\n\t\treturn ans*inverse[n-r]%DIV\n\n\tans = 0\n\tfor x in range(B, W+1):\n\t\ty = H-A\n\t\ttmp = (C(x+y, x)*C(H+W-x-y-1, W-x))%DIV\n\t\tans += tmp\n\t\tans %= DIV\n\n\tprint(ans)",
"def main():\n\tH, W, A, B = map(int, input().split())\n\tH, W= H-1, W-1\n\tDIV = 10**9+7\n\tsize = H+W+1\n\n\tfact = [0]*size\n\tinverse = [0]*size\n\tinv_cal = [0]*size\n\tfact[:2] = [1, 1]\n\tinverse[:2] = [1, 1]\n\tinv_cal[:2] = [0, 1]\n\n\tfor i in range(2, size):\n\t\tfact[i] = (fact[i-1]*i%DIV)\n\t\tinv_cal[i] = (-inv_cal[DIV%i]*(DIV//i))%DIV\n\t\tinverse[i] = inverse[i-1]*inv_cal[i]%DIV\n\n\tdef C(n, r):\n\t\tans = fact[n]*inverse[r]%DIV\n\t\treturn ans*inverse[n-r]%DIV\n\n\tans = 0\n\tfor x in range(B, W+1):\n\t\ty = H-A\n\t\ttmp = (C(x+y, x)*C(H+W-x-y-1, W-x))%DIV\n\t\tans += tmp\n\t\tans %= DIV\n\n\tprint(ans)",
"main"
] | def main():
H, W, A, B = map(int, input().split())
H, W= H-1, W-1
DIV = 10**9+7
size = H+W+1
fact = [0]*size
inverse = [0]*size
inv_cal = [0]*size
fact[:2] = [1, 1]
inverse[:2] = [1, 1]
inv_cal[:2] = [0, 1]
for i in range(2, size):
fact[i] = (fact[i-1]*i%DIV)
inv_cal[i] = (-inv_cal[DIV%i]*(DIV//i))%DIV
inverse[i] = inverse[i-1]*inv_cal[i]%DIV
def C(n, r):
ans = fact[n]*inverse[r]%DIV
return ans*inverse[n-r]%DIV
ans = 0
for x in range(B, W+1):
y = H-A
tmp = (C(x+y, x)*C(H+W-x-y-1, W-x))%DIV
ans += tmp
ans %= DIV
print(ans)
if __name__ == '__main__':
main() |
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[
40,
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[
40,
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[
38,
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[
15,
14
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[
40,
17
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38,
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[
40,
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[
38,
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[
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14,
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38,
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40,
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42,
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180,
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186,
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74,
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[
202,
78
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187,
82
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[
187,
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73,
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181,
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199,
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199,
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181,
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181,
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207,
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207,
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207,
131
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[
207,
132
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[
213,
134
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[
138,
137
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[
184,
141
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[
193,
142
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[
204,
144
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[
214,
146
],
[
205,
146
],
[
211,
149
],
[
190,
152
],
[
137,
153
],
[
137,
155
],
[
181,
156
],
[
211,
158
],
[
208,
163
],
[
184,
164
],
[
190,
165
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[
137,
166
],
[
208,
170
],
[
190,
171
],
[
181,
173
],
[
205,
177
],
[
214,
177
],
[
181,
178
],
[
180,
181
],
[
207,
184
],
[
186,
187
],
[
207,
190
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] | [
"def cmb(n, r, mod):\n if ( r<0 or r>n ):\n return 0\n r = min(r, n-r)\n return g1[n] * g2[r] * g2[n-r] % mod\n\nmod = 10**9+7 #出力の制限\nN = 10**6+3\ng1 = [1, 1] # 元テーブル\ng2 = [1, 1] #逆元テーブル\ninverse = [0, 1] #逆元テーブル計算用テーブル\n\nfor i in range( 2, N + 1 ):\n g1.append( ( g1[-1] * i ) % mod )\n inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )\n g2.append( (g2[-1] * inverse[-1]) % mod )\n\nh,w,a,b=map(int,input().split())\nans=0\nfor j in range(h-a):\n ans=ans+cmb(b+j-1,j,mod)*cmb(w+h-b-j-2,w-b-1,mod)\nprint(ans%mod)",
"def cmb(n, r, mod):\n if ( r<0 or r>n ):\n return 0\n r = min(r, n-r)\n return g1[n] * g2[r] * g2[n-r] % mod",
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"ans=ans+cmb(b+j-1,j,mod)*cmb(w+h-b-j-2,w-b-1,mod)",
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"def cmb(n, r, mod):\n if ( r<0 or r>n ):\n return 0\n r = min(r, n-r)\n return g1[n] * g2[r] * g2[n-r] % mod",
"def cmb(n, r, mod):\n if ( r<0 or r>n ):\n return 0\n r = min(r, n-r)\n return g1[n] * g2[r] * g2[n-r] % mod",
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] | def cmb(n, r, mod):
if ( r<0 or r>n ):
return 0
r = min(r, n-r)
return g1[n] * g2[r] * g2[n-r] % mod
mod = 10**9+7 #出力の制限
N = 10**6+3
g1 = [1, 1] # 元テーブル
g2 = [1, 1] #逆元テーブル
inverse = [0, 1] #逆元テーブル計算用テーブル
for i in range( 2, N + 1 ):
g1.append( ( g1[-1] * i ) % mod )
inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
g2.append( (g2[-1] * inverse[-1]) % mod )
h,w,a,b=map(int,input().split())
ans=0
for j in range(h-a):
ans=ans+cmb(b+j-1,j,mod)*cmb(w+h-b-j-2,w-b-1,mod)
print(ans%mod) |
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292,
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289,
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23,
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27,
24
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32,
29
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36,
33
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41,
38
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44,
43
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52,
49
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43,
51
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43,
57
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43,
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290,
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65,
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43,
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290,
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132,
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132,
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290,
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130,
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132,
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304,
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272,
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304,
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298,
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262,
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293,
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287,
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253,
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292,
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295,
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301,
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304,
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] | [
"from sys import stdin\ninput = stdin.readline\n\nMAX = 510000\nMOD = 10**9 + 7\n\ndef MakeTable():\n fac[0], fac[1] = 1, 1\n finv[0], finv[1] = 1, 1\n inv[1] = 1\n for i in range(2, MAX):\n fac[i] = fac[i - 1] * i % MOD\n inv[i] = MOD - inv[MOD%i] * (MOD // i) % MOD\n finv[i] = finv[i - 1] * inv[i] % MOD\n\ndef COM(n, k):\n if n < k:\n return 0\n elif n < 0 or k < 0:\n return 0\n else:\n return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD\n\nH, W, A, B = map(int, input().split())\nfac = [0] * MAX\nfinv = [0] * MAX\ninv = [0] * MAX\n\nN = min(H-A, W-B)\nx, y = 0, 0\nresult = 0\n\nMakeTable()\n\nfor _ in range(N):\n n1 = H-A-1+B+x-y\n n2 = A+W-1-B-x+y\n result += (COM(n1, B+x) * COM(n2, A+y)) % MOD\n x += 1\n y += 1\n\nprint(result%MOD)",
"from sys import stdin",
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"COM",
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"result",
"A, B = map(int, input().split())",
"map(int, input().split())",
"A",
"n2 = A+W-1-B-x+y",
"A+W-1-B-x+y",
"n2",
"result += (COM(n1, B+x) * COM(n2, A+y)) % MOD",
"(COM(n1, B+x) * COM(n2, A+y)) % MOD",
"result",
"def COM(n, k):\n if n < k:\n return 0\n elif n < 0 or k < 0:\n return 0\n else:\n return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD",
"def COM(n, k):\n if n < k:\n return 0\n elif n < 0 or k < 0:\n return 0\n else:\n return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD",
"COM",
"n1 = H-A-1+B+x-y",
"H-A-1+B+x-y",
"n1",
"finv = [0] * MAX",
"[0] * MAX",
"finv",
"H, W, A, B = map(int, input().split())",
"map(int, input().split())",
"H",
"y = 0, 0",
"0",
"y",
"input = stdin.readline",
"stdin.readline",
"input",
"N = min(H-A, W-B)",
"min(H-A, W-B)",
"N",
"inv = [0] * MAX",
"[0] * MAX",
"inv",
"B = map(int, input().split())",
"map(int, input().split())",
"B",
"def MakeTable():\n fac[0], fac[1] = 1, 1\n finv[0], finv[1] = 1, 1\n inv[1] = 1\n for i in range(2, MAX):\n fac[i] = fac[i - 1] * i % MOD\n inv[i] = MOD - inv[MOD%i] * (MOD // i) % MOD\n finv[i] = finv[i - 1] * inv[i] % MOD",
"def MakeTable():\n fac[0], fac[1] = 1, 1\n finv[0], finv[1] = 1, 1\n inv[1] = 1\n for i in range(2, MAX):\n fac[i] = fac[i - 1] * i % MOD\n inv[i] = MOD - inv[MOD%i] * (MOD // i) % MOD\n finv[i] = finv[i - 1] * inv[i] % MOD",
"MakeTable",
"y += 1",
"1",
"y",
"MOD = 10**9 + 7",
"10**9 + 7",
"MOD",
"MAX = 510000",
"510000",
"MAX",
"x, y = 0, 0",
"0",
"x",
"fac = [0] * MAX",
"[0] * MAX",
"fac",
"x += 1",
"1",
"x",
"W, A, B = map(int, input().split())",
"map(int, input().split())",
"W"
] | from sys import stdin
input = stdin.readline
MAX = 510000
MOD = 10**9 + 7
def MakeTable():
fac[0], fac[1] = 1, 1
finv[0], finv[1] = 1, 1
inv[1] = 1
for i in range(2, MAX):
fac[i] = fac[i - 1] * i % MOD
inv[i] = MOD - inv[MOD%i] * (MOD // i) % MOD
finv[i] = finv[i - 1] * inv[i] % MOD
def COM(n, k):
if n < k:
return 0
elif n < 0 or k < 0:
return 0
else:
return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD
H, W, A, B = map(int, input().split())
fac = [0] * MAX
finv = [0] * MAX
inv = [0] * MAX
N = min(H-A, W-B)
x, y = 0, 0
result = 0
MakeTable()
for _ in range(N):
n1 = H-A-1+B+x-y
n2 = A+W-1-B-x+y
result += (COM(n1, B+x) * COM(n2, A+y)) % MOD
x += 1
y += 1
print(result%MOD) |
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7,
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10,
12,
13,
10,
17,
13,
10,
2,
13,
10,
2,
13,
10,
4,
13
] | [
[
276,
2
],
[
13,
12
],
[
90,
17
],
[
23,
20
],
[
12,
21
],
[
26,
25
],
[
90,
28
],
[
35,
30
],
[
12,
31
],
[
25,
33
],
[
12,
38
],
[
25,
39
],
[
25,
41
],
[
46,
45
],
[
90,
50
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[
56,
53
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[
45,
54
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[
90,
55
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[
12,
59
],
[
90,
60
],
[
67,
66
],
[
90,
69
],
[
78,
73
],
[
45,
74
],
[
66,
76
],
[
45,
81
],
[
66,
82
],
[
66,
83
],
[
90,
90
],
[
95,
94
],
[
129,
96
],
[
125,
97
],
[
100,
99
],
[
131,
101
],
[
127,
102
],
[
105,
104
],
[
94,
108
],
[
99,
109
],
[
112,
111
],
[
94,
115
],
[
99,
118
],
[
121,
120
],
[
277,
121
],
[
120,
123
],
[
111,
123
],
[
104,
123
],
[
125,
125
],
[
127,
127
],
[
129,
129
],
[
131,
131
],
[
261,
133
],
[
261,
142
],
[
261,
143
],
[
261,
144
],
[
237,
146
],
[
271,
148
],
[
259,
150
],
[
262,
151
],
[
237,
152
],
[
264,
154
],
[
244,
159
],
[
274,
159
],
[
250,
162
],
[
229,
162
],
[
246,
165
],
[
259,
167
],
[
244,
168
],
[
274,
168
],
[
267,
170
],
[
250,
172
],
[
229,
172
],
[
255,
175
],
[
232,
177
],
[
247,
180
],
[
268,
181
],
[
252,
183
],
[
232,
185
],
[
247,
186
],
[
268,
187
],
[
259,
189
],
[
262,
192
],
[
279,
195
],
[
256,
197
],
[
253,
198
],
[
240,
200
],
[
277,
201
],
[
273,
203
],
[
228,
206
],
[
282,
209
],
[
232,
211
],
[
259,
215
],
[
262,
218
],
[
283,
224
],
[
241,
225
],
[
280,
225
],
[
265,
225
],
[
277,
226
],
[
228,
229
],
[
237,
235
],
[
237,
238
],
[
277,
240
],
[
240,
241
],
[
261,
244
],
[
246,
247
],
[
261,
250
],
[
252,
253
],
[
255,
256
],
[
261,
259
],
[
261,
262
],
[
264,
265
],
[
267,
268
],
[
273,
274
],
[
276,
277
],
[
279,
280
],
[
282,
283
]
] | [
"MOD = 10 ** 9 + 7\n\n\ndef prepare(n):\n global MOD\n modFacts = [0] * (n + 1)\n modFacts[0] = 1\n for i in range(n):\n modFacts[i + 1] = (modFacts[i] * (i + 1)) % MOD\n\n invs = [1] * (n + 1)\n invs[n] = pow(modFacts[n], MOD - 2, MOD)\n for i in range(n, 1, -1):\n invs[i - 1] = (invs[i] * i) % MOD\n\n return modFacts, invs\n\n\ndef pathVar(sx, sy, gx, gy):\n x = gx - sx\n y = gy - sy\n rst = modFacts[x + y]\n rst *= invs[x] * invs[y]\n rst %= MOD\n return rst\n\n\nH, W, A, B = map(int, input().split())\n# H -= 1; W -= 1\nmodFacts, invs = prepare(H + W)\n\ncnt = 0\nwhile A > 0 and B > 0:\n x = H - A\n y = B - 1\n path1 = pathVar(0, 0, x, y)\n path2 = pathVar(x, y, H - 1, W - 1)\n cnt += path1 * path2\n cnt %= MOD\n A -= 1; B -= 1\n\nans = pathVar(0, 0, H - 1, W - 1)\nprint((ans - cnt) % MOD)",
"MOD = 10 ** 9 + 7",
"MOD",
"10 ** 9 + 7",
"10 ** 9",
"10",
"9",
"7",
"def prepare(n):\n global MOD\n modFacts = [0] * (n + 1)\n modFacts[0] = 1\n for i in range(n):\n modFacts[i + 1] = (modFacts[i] * (i + 1)) % MOD\n\n invs = [1] * (n + 1)\n invs[n] = pow(modFacts[n], MOD - 2, MOD)\n for i in range(n, 1, -1):\n invs[i - 1] = (invs[i] * i) % MOD\n\n return modFacts, invs",
"prepare",
"global MOD",
"modFacts = [0] * (n + 1)",
"modFacts",
"[0] * (n + 1)",
"[0]",
"0",
"n + 1",
"n",
"1",
"modFacts[0] = 1",
"modFacts[0]",
"modFacts",
"0",
"1",
"for i in range(n):\n modFacts[i + 1] = (modFacts[i] * (i + 1)) % MOD\n\n ",
"i",
"range(n)",
"range",
"n",
"modFacts[i + 1] = (modFacts[i] * (i + 1)) % MOD",
"modFacts[i + 1]",
"modFacts",
"i + 1",
"i",
"1",
"(modFacts[i] * (i + 1)) % MOD",
"modFacts[i] * (i + 1)",
"modFacts[i]",
"modFacts",
"i",
"i + 1",
"i",
"1",
"MOD",
"invs = [1] * (n + 1)",
"invs",
"[1] * (n + 1)",
"[1]",
"1",
"n + 1",
"n",
"1",
"invs[n] = pow(modFacts[n], MOD - 2, MOD)",
"invs[n]",
"invs",
"n",
"pow(modFacts[n], MOD - 2, MOD)",
"pow",
"modFacts[n]",
"modFacts",
"n",
"MOD - 2",
"MOD",
"2",
"MOD",
"for i in range(n, 1, -1):\n invs[i - 1] = (invs[i] * i) % MOD\n\n ",
"i",
"range(n, 1, -1)",
"range",
"n",
"1",
"-1",
"invs[i - 1] = (invs[i] * i) % MOD",
"invs[i - 1]",
"invs",
"i - 1",
"i",
"1",
"(invs[i] * i) % MOD",
"invs[i] * i",
"invs[i]",
"invs",
"i",
"i",
"MOD",
"return modFacts, invs",
"return modFacts, invs",
"modFacts",
"invs",
"n",
"n",
"def pathVar(sx, sy, gx, gy):\n x = gx - sx\n y = gy - sy\n rst = modFacts[x + y]\n rst *= invs[x] * invs[y]\n rst %= MOD\n return rst",
"pathVar",
"x = gx - sx",
"x",
"gx - sx",
"gx",
"sx",
"y = gy - sy",
"y",
"gy - sy",
"gy",
"sy",
"rst = modFacts[x + y]",
"rst",
"modFacts[x + y]",
"modFacts",
"x + y",
"x",
"y",
"rst *= invs[x] * invs[y]",
"rst",
"invs[x] * invs[y]",
"invs[x]",
"invs",
"x",
"invs[y]",
"invs",
"y",
"rst %= MOD",
"rst",
"MOD",
"return rst",
"rst",
"sx",
"sx",
"sy",
"sy",
"gx",
"gx",
"gy",
"gy",
"H, W, A, B = map(int, input().split())",
"H",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"W",
"A",
"B",
"modFacts, invs = prepare(H + W)",
"modFacts",
"prepare(H + W)",
"prepare",
"H + W",
"H",
"W",
"invs",
"cnt = 0",
"cnt",
"0",
"while A > 0 and B > 0:\n x = H - A\n y = B - 1\n path1 = pathVar(0, 0, x, y)\n path2 = pathVar(x, y, H - 1, W - 1)\n cnt += path1 * path2\n cnt %= MOD\n A -= 1; B -= 1",
"A > 0 and B > 0",
"A > 0",
"A",
"0",
"B > 0",
"B",
"0",
"x = H - A",
"x",
"H - A",
"H",
"A",
"y = B - 1",
"y",
"B - 1",
"B",
"1",
"path1 = pathVar(0, 0, x, y)",
"path1",
"pathVar(0, 0, x, y)",
"pathVar",
"0",
"0",
"x",
"y",
"path2 = pathVar(x, y, H - 1, W - 1)",
"path2",
"pathVar(x, y, H - 1, W - 1)",
"pathVar",
"x",
"y",
"H - 1",
"H",
"1",
"W - 1",
"W",
"1",
"cnt += path1 * path2",
"cnt",
"path1 * path2",
"path1",
"path2",
"cnt %= MOD",
"cnt",
"MOD",
"A -= 1",
"A",
"1",
"B -= 1",
"B",
"1",
"ans = pathVar(0, 0, H - 1, W - 1)",
"ans",
"pathVar(0, 0, H - 1, W - 1)",
"pathVar",
"0",
"0",
"H - 1",
"H",
"1",
"W - 1",
"W",
"1",
"print((ans - cnt) % MOD)",
"print",
"(ans - cnt) % MOD",
"ans - cnt",
"ans",
"cnt",
"MOD",
"B -= 1",
"1",
"B",
"def pathVar(sx, sy, gx, gy):\n x = gx - sx\n y = gy - sy\n rst = modFacts[x + y]\n rst *= invs[x] * invs[y]\n rst %= MOD\n return rst",
"def pathVar(sx, sy, gx, gy):\n x = gx - sx\n y = gy - sy\n rst = modFacts[x + y]\n rst *= invs[x] * invs[y]\n rst %= MOD\n return rst",
"pathVar",
"invs = prepare(H + W)",
"prepare(H + W)",
"invs",
"modFacts, invs = prepare(H + W)",
"prepare(H + W)",
"modFacts",
"cnt %= MOD",
"MOD",
"cnt",
"A, B = map(int, input().split())",
"map(int, input().split())",
"A",
"x = H - A",
"H - A",
"x",
"B = map(int, input().split())",
"map(int, input().split())",
"B",
"path2 = pathVar(x, y, H - 1, W - 1)",
"pathVar(x, y, H - 1, W - 1)",
"path2",
"path1 = pathVar(0, 0, x, y)",
"pathVar(0, 0, x, y)",
"path1",
"H, W, A, B = map(int, input().split())",
"map(int, input().split())",
"H",
"W, A, B = map(int, input().split())",
"map(int, input().split())",
"W",
"cnt = 0",
"0",
"cnt",
"y = B - 1",
"B - 1",
"y",
"def prepare(n):\n global MOD\n modFacts = [0] * (n + 1)\n modFacts[0] = 1\n for i in range(n):\n modFacts[i + 1] = (modFacts[i] * (i + 1)) % MOD\n\n invs = [1] * (n + 1)\n invs[n] = pow(modFacts[n], MOD - 2, MOD)\n for i in range(n, 1, -1):\n invs[i - 1] = (invs[i] * i) % MOD\n\n return modFacts, invs",
"def prepare(n):\n global MOD\n modFacts = [0] * (n + 1)\n modFacts[0] = 1\n for i in range(n):\n modFacts[i + 1] = (modFacts[i] * (i + 1)) % MOD\n\n invs = [1] * (n + 1)\n invs[n] = pow(modFacts[n], MOD - 2, MOD)\n for i in range(n, 1, -1):\n invs[i - 1] = (invs[i] * i) % MOD\n\n return modFacts, invs",
"prepare",
"A -= 1",
"1",
"A",
"MOD = 10 ** 9 + 7",
"10 ** 9 + 7",
"MOD",
"cnt += path1 * path2",
"path1 * path2",
"cnt",
"ans = pathVar(0, 0, H - 1, W - 1)",
"pathVar(0, 0, H - 1, W - 1)",
"ans"
] | MOD = 10 ** 9 + 7
def prepare(n):
global MOD
modFacts = [0] * (n + 1)
modFacts[0] = 1
for i in range(n):
modFacts[i + 1] = (modFacts[i] * (i + 1)) % MOD
invs = [1] * (n + 1)
invs[n] = pow(modFacts[n], MOD - 2, MOD)
for i in range(n, 1, -1):
invs[i - 1] = (invs[i] * i) % MOD
return modFacts, invs
def pathVar(sx, sy, gx, gy):
x = gx - sx
y = gy - sy
rst = modFacts[x + y]
rst *= invs[x] * invs[y]
rst %= MOD
return rst
H, W, A, B = map(int, input().split())
# H -= 1; W -= 1
modFacts, invs = prepare(H + W)
cnt = 0
while A > 0 and B > 0:
x = H - A
y = B - 1
path1 = pathVar(0, 0, x, y)
path2 = pathVar(x, y, H - 1, W - 1)
cnt += path1 * path2
cnt %= MOD
A -= 1; B -= 1
ans = pathVar(0, 0, H - 1, W - 1)
print((ans - cnt) % MOD)
|
[
7,
0,
13,
4,
13,
13,
4,
18,
4,
13,
13,
13,
13,
13,
0,
13,
17,
0,
13,
17,
0,
13,
39,
17,
28,
13,
4,
13,
17,
2,
13,
13,
4,
18,
13,
13,
2,
2,
18,
13,
2,
13,
17,
13,
13,
12,
13,
14,
2,
13,
17,
29,
17,
14,
2,
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17,
29,
2,
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13,
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2,
2,
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17,
29,
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4,
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2,
2,
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13,
23,
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2,
39,
17,
2,
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13,
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13,
2,
2,
13,
13,
17,
4,
13,
18,
13,
2,
2,
13,
13,
17,
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13,
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4,
13,
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10,
17,
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] | [
[
243,
2
],
[
243,
11
],
[
243,
12
],
[
243,
13
],
[
249,
15
],
[
237,
18
],
[
225,
21
],
[
26,
25
],
[
244,
30
],
[
220,
31
],
[
226,
34
],
[
226,
39
],
[
25,
41
],
[
25,
43
],
[
238,
44
],
[
97,
49
],
[
97,
55
],
[
95,
59
],
[
238,
60
],
[
97,
64
],
[
95,
72
],
[
97,
74
],
[
238,
77
],
[
80,
79
],
[
95,
83
],
[
97,
85
],
[
79,
91
],
[
95,
92
],
[
238,
93
],
[
95,
95
],
[
97,
97
],
[
231,
99
],
[
244,
104
],
[
220,
105
],
[
114,
107
],
[
232,
108
],
[
244,
111
],
[
220,
112
],
[
247,
115
],
[
226,
117
],
[
244,
120
],
[
220,
121
],
[
238,
124
],
[
128,
127
],
[
244,
132
],
[
220,
133
],
[
141,
138
],
[
232,
139
],
[
127,
140
],
[
232,
144
],
[
127,
146
],
[
127,
149
],
[
238,
151
],
[
226,
159
],
[
171,
160
],
[
232,
162
],
[
173,
163
],
[
232,
165
],
[
171,
167
],
[
173,
168
],
[
238,
169
],
[
171,
171
],
[
173,
173
],
[
176,
175
],
[
241,
179
],
[
220,
182
],
[
228,
185
],
[
250,
188
],
[
229,
188
],
[
235,
191
],
[
244,
195
],
[
223,
196
],
[
175,
198
],
[
175,
200
],
[
235,
203
],
[
223,
207
],
[
220,
208
],
[
175,
209
],
[
220,
212
],
[
175,
213
],
[
238,
214
],
[
229,
217
],
[
250,
217
],
[
243,
220
],
[
243,
223
],
[
225,
226
],
[
228,
229
],
[
231,
232
],
[
237,
238
],
[
243,
241
],
[
243,
244
],
[
249,
250
]
] | [
"H, W, A, B = map(int, input().split())\nanswer = 0\nmod = 1000000007\nfactorial = [1]\nfor n in range(1, H+W):\n factorial.append(factorial[n-1]*n%mod)\ndef power(x, y):\n if y == 0:\n return 1\n elif y == 1:\n return x % mod\n elif y % 2 == 0:\n return power(x, y//2) ** 2 % mod\n else:\n a = power(x, y//2) ** 2\n return a * x % mod\ninverseFactorial = [0] * (H+W)\ninverseFactorial[H+W-1] = power(factorial[H+W-1], mod-2)\nfor n in range(H+W-2, -1, -1):\n inverseFactorial[n] = inverseFactorial[n+1] * (n+1) % mod\ndef combi(n, m):\n return factorial[n] * inverseFactorial[m] *inverseFactorial[n-m]%mod\n\nfor i in range(B+1, W+1):\n answer = (answer + combi(H-A-2+i, i-1)*combi(A+W-i-1,W-i)) % mod\nprint(answer)",
"H, W, A, B = map(int, input().split())",
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"power",
"if y == 0:\n return 1\n elif y == 1:\n return x % mod\n elif y % 2 == 0:\n return power(x, y//2) ** 2 % mod\n else:\n a = power(x, y//2) ** 2\n return a * x % mod",
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"factorial = [1]",
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"answer",
"inverseFactorial = [0] * (H+W)",
"[0] * (H+W)",
"inverseFactorial",
"def combi(n, m):\n return factorial[n] * inverseFactorial[m] *inverseFactorial[n-m]%mod",
"def combi(n, m):\n return factorial[n] * inverseFactorial[m] *inverseFactorial[n-m]%mod",
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"mod = 1000000007",
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"H",
"def power(x, y):\n if y == 0:\n return 1\n elif y == 1:\n return x % mod\n elif y % 2 == 0:\n return power(x, y//2) ** 2 % mod\n else:\n a = power(x, y//2) ** 2\n return a * x % mod",
"def power(x, y):\n if y == 0:\n return 1\n elif y == 1:\n return x % mod\n elif y % 2 == 0:\n return power(x, y//2) ** 2 % mod\n else:\n a = power(x, y//2) ** 2\n return a * x % mod",
"power",
"answer = 0",
"0",
"answer"
] | H, W, A, B = map(int, input().split())
answer = 0
mod = 1000000007
factorial = [1]
for n in range(1, H+W):
factorial.append(factorial[n-1]*n%mod)
def power(x, y):
if y == 0:
return 1
elif y == 1:
return x % mod
elif y % 2 == 0:
return power(x, y//2) ** 2 % mod
else:
a = power(x, y//2) ** 2
return a * x % mod
inverseFactorial = [0] * (H+W)
inverseFactorial[H+W-1] = power(factorial[H+W-1], mod-2)
for n in range(H+W-2, -1, -1):
inverseFactorial[n] = inverseFactorial[n+1] * (n+1) % mod
def combi(n, m):
return factorial[n] * inverseFactorial[m] *inverseFactorial[n-m]%mod
for i in range(B+1, W+1):
answer = (answer + combi(H-A-2+i, i-1)*combi(A+W-i-1,W-i)) % mod
print(answer) |
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10,
13,
13,
10,
2,
13,
10,
4,
13,
10,
13,
13
] | [
[
240,
2
],
[
240,
13
],
[
240,
14
],
[
240,
15
],
[
231,
17
],
[
192,
20
],
[
196,
26
],
[
211,
27
],
[
228,
30
],
[
34,
33
],
[
196,
39
],
[
211,
40
],
[
216,
43
],
[
33,
44
],
[
234,
46
],
[
232,
47
],
[
52,
49
],
[
193,
50
],
[
33,
51
],
[
235,
52
],
[
217,
52
],
[
229,
52
],
[
222,
54
],
[
196,
60
],
[
211,
61
],
[
201,
64
],
[
193,
66
],
[
196,
68
],
[
211,
69
],
[
237,
71
],
[
232,
73
],
[
238,
77
],
[
199,
77
],
[
238,
81
],
[
199,
81
],
[
89,
84
],
[
223,
85
],
[
196,
87
],
[
211,
88
],
[
202,
90
],
[
235,
90
],
[
217,
90
],
[
229,
90
],
[
226,
90
],
[
232,
91
],
[
225,
93
],
[
202,
95
],
[
235,
95
],
[
217,
95
],
[
229,
95
],
[
226,
95
],
[
232,
96
],
[
198,
98
],
[
102,
101
],
[
196,
106
],
[
211,
107
],
[
115,
112
],
[
223,
113
],
[
101,
114
],
[
223,
118
],
[
101,
120
],
[
101,
123
],
[
232,
125
],
[
193,
133
],
[
145,
134
],
[
223,
136
],
[
147,
137
],
[
223,
139
],
[
145,
141
],
[
147,
142
],
[
232,
143
],
[
145,
145
],
[
147,
147
],
[
219,
149
],
[
153,
152
],
[
196,
156
],
[
241,
157
],
[
207,
159
],
[
205,
162
],
[
214,
165
],
[
152,
166
],
[
152,
168
],
[
205,
170
],
[
211,
175
],
[
214,
176
],
[
196,
177
],
[
152,
178
],
[
196,
182
],
[
152,
183
],
[
243,
186
],
[
232,
187
],
[
244,
190
],
[
208,
190
],
[
220,
190
],
[
192,
193
],
[
240,
196
],
[
198,
199
],
[
201,
202
],
[
207,
208
],
[
240,
211
],
[
240,
214
],
[
33,
216
],
[
216,
217
],
[
219,
220
],
[
222,
223
],
[
225,
226
],
[
228,
229
],
[
231,
232
],
[
232,
234
],
[
234,
235
],
[
237,
238
],
[
240,
241
],
[
232,
243
],
[
243,
244
]
] | [
"H, W, A, B = list(map(int, input().split()))\np = 1000000007\n\nfac = [1] * (H + W + 1)\nx = 1\nfor i in range(1, H + W + 1):\n x *= i\n x %= p\n fac[i] = x\n\nifac = [1] * (H + W + 1)\nx = fac[H + W]\nq = p - 2\n\nwhile q > 0:\n if q & 1:\n ifac[H + W] *= x % p\n x *= x % p\n q >>= 1\n\nfor i in range(H + W - 1, 0, -1):\n ifac[i] = ifac[i + 1] * (i + 1) % p\n\ndef com(a, b):\n return (fac[a] * ifac[b] * ifac[a-b]) % p\n\nans = 0\n\nfor i in range(H-A):\n ans += com(B+i-1, i) * com(W-B+H-i-2, H-i-1)\n ans %= p\n\nprint(ans)",
"H, W, A, B = list(map(int, input().split()))",
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"ifac = [1] * (H + W + 1)",
"ifac",
"[1] * (H + W + 1)",
"[1]",
"1",
"H + W + 1",
"H + W",
"H",
"W",
"1",
"x = fac[H + W]",
"x",
"fac[H + W]",
"fac",
"H + W",
"H",
"W",
"q = p - 2",
"q",
"p - 2",
"p",
"2",
"while q > 0:\n if q & 1:\n ifac[H + W] *= x % p\n x *= x % p\n q >>= 1",
"q > 0",
"q",
"0",
"if q & 1:\n ifac[H + W] *= x % p\n ",
"q & 1",
"q",
"1",
"ifac[H + W] *= x % p",
"ifac[H + W]",
"ifac",
"H + W",
"H",
"W",
"x % p",
"x",
"p",
"x *= x % p",
"x",
"x % p",
"x",
"p",
"q >>= 1",
"q",
"1",
"for i in range(H + W - 1, 0, -1):\n ifac[i] = ifac[i + 1] * (i + 1) % p",
"i",
"range(H + W - 1, 0, -1)",
"range",
"H + W - 1",
"H + W",
"H",
"W",
"1",
"0",
"-1",
"ifac[i] = ifac[i + 1] * (i + 1) % p",
"ifac[i]",
"ifac",
"i",
"ifac[i + 1] * (i + 1) % p",
"ifac[i + 1] * (i + 1)",
"ifac[i + 1]",
"ifac",
"i + 1",
"i",
"1",
"i + 1",
"i",
"1",
"p",
"def com(a, b):\n return (fac[a] * ifac[b] * ifac[a-b]) % p",
"com",
"return (fac[a] * ifac[b] * ifac[a-b]) % p",
"(fac[a] * ifac[b] * ifac[a-b]) % p",
"fac[a] * ifac[b] * ifac[a-b]",
"fac[a] * ifac[b]",
"fac[a]",
"fac",
"a",
"ifac[b]",
"ifac",
"b",
"ifac[a-b]",
"ifac",
"a-b",
"a",
"b",
"p",
"a",
"a",
"b",
"b",
"ans = 0",
"ans",
"0",
"for i in range(H-A):\n ans += com(B+i-1, i) * com(W-B+H-i-2, H-i-1)\n ans %= p",
"i",
"range(H-A)",
"range",
"H-A",
"H",
"A",
"ans += com(B+i-1, i) * com(W-B+H-i-2, H-i-1)",
"ans",
"com(B+i-1, i) * com(W-B+H-i-2, H-i-1)",
"com(B+i-1, i)",
"com",
"B+i-1",
"B+i",
"B",
"i",
"1",
"i",
"com(W-B+H-i-2, H-i-1)",
"com",
"W-B+H-i-2",
"W-B+H-i",
"W-B+H",
"W-B",
"W",
"B",
"H",
"i",
"2",
"H-i-1",
"H-i",
"H",
"i",
"1",
"ans %= p",
"ans",
"p",
"print(ans)",
"print",
"ans",
"fac = [1] * (H + W + 1)",
"[1] * (H + W + 1)",
"fac",
"H, W, A, B = list(map(int, input().split()))",
"list(map(int, input().split()))",
"H",
"q >>= 1",
"1",
"q",
"x = fac[H + W]",
"fac[H + W]",
"x",
"def com(a, b):\n return (fac[a] * ifac[b] * ifac[a-b]) % p",
"def com(a, b):\n return (fac[a] * ifac[b] * ifac[a-b]) % p",
"com",
"ans += com(B+i-1, i) * com(W-B+H-i-2, H-i-1)",
"com(B+i-1, i) * com(W-B+H-i-2, H-i-1)",
"ans",
"W, A, B = list(map(int, input().split()))",
"list(map(int, input().split()))",
"W",
"B = list(map(int, input().split()))",
"list(map(int, input().split()))",
"B",
"x *= i",
"i",
"x",
"ans = 0",
"0",
"ans",
"ifac = [1] * (H + W + 1)",
"[1] * (H + W + 1)",
"ifac",
"x *= x % p",
"x % p",
"x",
"x = 1",
"1",
"x",
"p = 1000000007",
"1000000007",
"p",
"x %= p",
"p",
"x",
"q = p - 2",
"p - 2",
"q",
"A, B = list(map(int, input().split()))",
"list(map(int, input().split()))",
"A",
"ans %= p",
"p",
"ans"
] | H, W, A, B = list(map(int, input().split()))
p = 1000000007
fac = [1] * (H + W + 1)
x = 1
for i in range(1, H + W + 1):
x *= i
x %= p
fac[i] = x
ifac = [1] * (H + W + 1)
x = fac[H + W]
q = p - 2
while q > 0:
if q & 1:
ifac[H + W] *= x % p
x *= x % p
q >>= 1
for i in range(H + W - 1, 0, -1):
ifac[i] = ifac[i + 1] * (i + 1) % p
def com(a, b):
return (fac[a] * ifac[b] * ifac[a-b]) % p
ans = 0
for i in range(H-A):
ans += com(B+i-1, i) * com(W-B+H-i-2, H-i-1)
ans %= p
print(ans)
|
[
7,
15,
13,
0,
13,
18,
18,
13,
13,
13,
0,
13,
18,
18,
13,
13,
13,
0,
13,
18,
18,
13,
13,
13,
0,
13,
2,
2,
17,
17,
17,
0,
13,
39,
17,
17,
0,
13,
39,
17,
17,
0,
13,
39,
17,
17,
12,
13,
14,
2,
2,
2,
13,
17,
2,
13,
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2,
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29,
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2,
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4,
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2,
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18,
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0,
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17,
28,
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2,
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0,
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2,
2,
4,
13,
2,
2,
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17,
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2,
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4,
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2,
2,
2,
2,
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2,
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0,
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10,
39,
13,
10,
18,
13,
10,
2,
13,
10,
12,
13,
10,
39,
13
] | [
[
223,
4
],
[
217,
11
],
[
211,
18
],
[
226,
25
],
[
232,
32
],
[
220,
37
],
[
208,
42
],
[
79,
52
],
[
81,
55
],
[
81,
58
],
[
79,
59
],
[
233,
67
],
[
79,
68
],
[
221,
70
],
[
81,
71
],
[
221,
73
],
[
79,
75
],
[
81,
76
],
[
83,
77
],
[
79,
79
],
[
81,
81
],
[
83,
83
],
[
88,
87
],
[
218,
94
],
[
88,
96
],
[
88,
97
],
[
88,
98
],
[
101,
100
],
[
87,
103
],
[
96,
104
],
[
108,
107
],
[
100,
111
],
[
233,
114
],
[
233,
119
],
[
107,
121
],
[
227,
122
],
[
209,
125
],
[
209,
131
],
[
227,
133
],
[
107,
134
],
[
227,
136
],
[
107,
137
],
[
227,
138
],
[
221,
141
],
[
221,
146
],
[
209,
149
],
[
227,
151
],
[
154,
153
],
[
157,
156
],
[
87,
160
],
[
97,
161
],
[
164,
163
],
[
215,
167
],
[
98,
170
],
[
156,
172
],
[
98,
174
],
[
227,
176
],
[
215,
178
],
[
87,
183
],
[
96,
184
],
[
98,
185
],
[
156,
187
],
[
96,
190
],
[
98,
192
],
[
227,
193
],
[
227,
194
],
[
197,
196
],
[
227,
197
],
[
196,
200
],
[
163,
200
],
[
153,
200
],
[
230,
206
],
[
208,
209
],
[
211,
212
],
[
217,
218
],
[
220,
221
],
[
223,
224
],
[
226,
227
],
[
232,
233
]
] | [
"import sys\nread = sys.stdin.read\nreadline = sys.stdin.readline\nreadlines = sys.stdin.readlines\n\nMOD = 10**9+7\nfac = [1, 1]\nf_inv = [1, 1]\ninv = [0, 1]\n\ndef modcmb(n, r, mod):\n if n < 0 or r < 0 or r > n:\n return 0\n\n return fac[n] * f_inv[r] * f_inv[n-r] % mod\n\n\ndef main():\n H,W,A,B = map(int, readline().split())\n\n n = H+W+1\n for i in range(2,n):\n fac.append((fac[-1] * i) % MOD)\n inv.append((-inv[MOD % i] * (MOD//i)) % MOD)\n f_inv.append((f_inv[-1] * inv[-1]) % MOD)\n\n ans = 0\n for i in range(H-A):\n ans += modcmb(B-1+i, B-1, MOD) * modcmb(H+W-B-2-i, W-1-B, MOD) % MOD\n ans %= MOD\n\n print(ans)\n\n\nif __name__ == \"__main__\":\n main()",
"import sys",
"sys",
"read = sys.stdin.read",
"read",
"sys.stdin.read",
"sys.stdin",
"sys",
"stdin",
"read",
"readline = sys.stdin.readline",
"readline",
"sys.stdin.readline",
"sys.stdin",
"sys",
"stdin",
"readline",
"readlines = sys.stdin.readlines",
"readlines",
"sys.stdin.readlines",
"sys.stdin",
"sys",
"stdin",
"readlines",
"MOD = 10**9+7",
"MOD",
"10**9+7",
"10**9",
"10",
"9",
"7",
"fac = [1, 1]",
"fac",
"[1, 1]",
"1",
"1",
"f_inv = [1, 1]",
"f_inv",
"[1, 1]",
"1",
"1",
"inv = [0, 1]",
"inv",
"[0, 1]",
"0",
"1",
"def modcmb(n, r, mod):\n if n < 0 or r < 0 or r > n:\n return 0\n\n return fac[n] * f_inv[r] * f_inv[n-r] % mod",
"modcmb",
"if n < 0 or r < 0 or r > n:\n return 0\n\n ",
"n < 0 or r < 0 or r > n",
"n < 0 or r < 0",
"n < 0",
"n",
"0",
"r < 0",
"r",
"0",
"r > n",
"r",
"n",
"return 0",
"0",
"return fac[n] * f_inv[r] * f_inv[n-r] % mod",
"fac[n] * f_inv[r] * f_inv[n-r] % mod",
"fac[n] * f_inv[r] * f_inv[n-r]",
"fac[n] * f_inv[r]",
"fac[n]",
"fac",
"n",
"f_inv[r]",
"f_inv",
"r",
"f_inv[n-r]",
"f_inv",
"n-r",
"n",
"r",
"mod",
"n",
"n",
"r",
"r",
"mod",
"mod",
"def main():\n H,W,A,B = map(int, readline().split())\n\n n = H+W+1\n for i in range(2,n):\n fac.append((fac[-1] * i) % MOD)\n inv.append((-inv[MOD % i] * (MOD//i)) % MOD)\n f_inv.append((f_inv[-1] * inv[-1]) % MOD)\n\n ans = 0\n for i in range(H-A):\n ans += modcmb(B-1+i, B-1, MOD) * modcmb(H+W-B-2-i, W-1-B, MOD) % MOD\n ans %= MOD\n\n print(ans)",
"main",
"H,W,A,B = map(int, readline().split())",
"H",
"map(int, readline().split())",
"map",
"int",
"readline().split()",
"().split",
"()",
"readline",
"split",
"W",
"A",
"B",
"n = H+W+1",
"n",
"H+W+1",
"H+W",
"H",
"W",
"1",
"for i in range(2,n):\n fac.append((fac[-1] * i) % MOD)\n inv.append((-inv[MOD % i] * (MOD//i)) % MOD)\n f_inv.append((f_inv[-1] * inv[-1]) % MOD)\n\n ",
"i",
"range(2,n)",
"range",
"2",
"n",
"fac.append((fac[-1] * i) % MOD)",
"fac.append",
"fac",
"append",
"(fac[-1] * i) % MOD",
"fac[-1] * i",
"fac[-1]",
"fac",
"-1",
"i",
"MOD",
"inv.append((-inv[MOD % i] * (MOD//i)) % MOD)",
"inv.append",
"inv",
"append",
"(-inv[MOD % i] * (MOD//i)) % MOD",
"-inv[MOD % i] * (MOD//i)",
"-inv[MOD % i]",
"inv[MOD % i]",
"inv",
"MOD % i",
"MOD",
"i",
"MOD//i",
"MOD",
"i",
"MOD",
"f_inv.append((f_inv[-1] * inv[-1]) % MOD)",
"f_inv.append",
"f_inv",
"append",
"(f_inv[-1] * inv[-1]) % MOD",
"f_inv[-1] * inv[-1]",
"f_inv[-1]",
"f_inv",
"-1",
"inv[-1]",
"inv",
"-1",
"MOD",
"ans = 0",
"ans",
"0",
"for i in range(H-A):\n ans += modcmb(B-1+i, B-1, MOD) * modcmb(H+W-B-2-i, W-1-B, MOD) % MOD\n ans %= MOD\n\n ",
"i",
"range(H-A)",
"range",
"H-A",
"H",
"A",
"ans += modcmb(B-1+i, B-1, MOD) * modcmb(H+W-B-2-i, W-1-B, MOD) % MOD",
"ans",
"modcmb(B-1+i, B-1, MOD) * modcmb(H+W-B-2-i, W-1-B, MOD) % MOD",
"modcmb(B-1+i, B-1, MOD) * modcmb(H+W-B-2-i, W-1-B, MOD)",
"modcmb(B-1+i, B-1, MOD)",
"modcmb",
"B-1+i",
"B-1",
"B",
"1",
"i",
"B-1",
"B",
"1",
"MOD",
"modcmb(H+W-B-2-i, W-1-B, MOD)",
"modcmb",
"H+W-B-2-i",
"H+W-B-2",
"H+W-B",
"H+W",
"H",
"W",
"B",
"2",
"i",
"W-1-B",
"W-1",
"W",
"1",
"B",
"MOD",
"MOD",
"ans %= MOD",
"ans",
"MOD",
"print(ans)",
"print",
"ans",
"if __name__ == \"__main__\":\n main()",
"__name__ == \"__main__\"",
"__name__",
"\"__main__\"",
"main()",
"main",
"inv = [0, 1]",
"[0, 1]",
"inv",
"readlines = sys.stdin.readlines",
"sys.stdin.readlines",
"readlines",
"def modcmb(n, r, mod):\n if n < 0 or r < 0 or r > n:\n return 0\n\n return fac[n] * f_inv[r] * f_inv[n-r] % mod",
"def modcmb(n, r, mod):\n if n < 0 or r < 0 or r > n:\n return 0\n\n return fac[n] * f_inv[r] * f_inv[n-r] % mod",
"modcmb",
"readline = sys.stdin.readline",
"sys.stdin.readline",
"readline",
"f_inv = [1, 1]",
"[1, 1]",
"f_inv",
"read = sys.stdin.read",
"sys.stdin.read",
"read",
"MOD = 10**9+7",
"10**9+7",
"MOD",
"def main():\n H,W,A,B = map(int, readline().split())\n\n n = H+W+1\n for i in range(2,n):\n fac.append((fac[-1] * i) % MOD)\n inv.append((-inv[MOD % i] * (MOD//i)) % MOD)\n f_inv.append((f_inv[-1] * inv[-1]) % MOD)\n\n ans = 0\n for i in range(H-A):\n ans += modcmb(B-1+i, B-1, MOD) * modcmb(H+W-B-2-i, W-1-B, MOD) % MOD\n ans %= MOD\n\n print(ans)",
"def main():\n H,W,A,B = map(int, readline().split())\n\n n = H+W+1\n for i in range(2,n):\n fac.append((fac[-1] * i) % MOD)\n inv.append((-inv[MOD % i] * (MOD//i)) % MOD)\n f_inv.append((f_inv[-1] * inv[-1]) % MOD)\n\n ans = 0\n for i in range(H-A):\n ans += modcmb(B-1+i, B-1, MOD) * modcmb(H+W-B-2-i, W-1-B, MOD) % MOD\n ans %= MOD\n\n print(ans)",
"main",
"fac = [1, 1]",
"[1, 1]",
"fac"
] | import sys
read = sys.stdin.read
readline = sys.stdin.readline
readlines = sys.stdin.readlines
MOD = 10**9+7
fac = [1, 1]
f_inv = [1, 1]
inv = [0, 1]
def modcmb(n, r, mod):
if n < 0 or r < 0 or r > n:
return 0
return fac[n] * f_inv[r] * f_inv[n-r] % mod
def main():
H,W,A,B = map(int, readline().split())
n = H+W+1
for i in range(2,n):
fac.append((fac[-1] * i) % MOD)
inv.append((-inv[MOD % i] * (MOD//i)) % MOD)
f_inv.append((f_inv[-1] * inv[-1]) % MOD)
ans = 0
for i in range(H-A):
ans += modcmb(B-1+i, B-1, MOD) * modcmb(H+W-B-2-i, W-1-B, MOD) % MOD
ans %= MOD
print(ans)
if __name__ == "__main__":
main()
|
[
7,
41,
28,
13,
4,
18,
4,
13,
13,
4,
4,
13,
13,
0,
13,
13,
13,
13,
13,
0,
13,
2,
2,
17,
17,
17,
12,
13,
0,
13,
17,
42,
2,
13,
17,
14,
2,
2,
13,
17,
17,
0,
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2,
13,
13,
13,
0,
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2,
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2,
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4,
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2,
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0,
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2,
39,
17,
2,
2,
13,
13,
17,
28,
13,
4,
13,
17,
2,
2,
13,
13,
17,
0,
18,
13,
13,
2,
2,
18,
13,
2,
13,
17,
13,
13,
0,
13,
2,
39,
17,
2,
2,
13,
13,
17,
0,
18,
13,
2,
2,
13,
13,
17,
4,
13,
18,
13,
2,
2,
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] | [
"iH,iW,iA,iB = [int(x) for x in input().split()]\niD = 10**9+7 #法\n\n#初等整数論勉強して解説通りキッチリ実装したった\n\n#二分累乗法 iDを法として\ndef fBiPow(iX,iN,iD):\n iY = 1\n while iN > 0:\n if iN % 2 == 0:\n iX = iX * iX % iD\n iN = iN // 2\n else:\n iY = iX * iY % iD\n iN = iN - 1\n return iY\n\n#nCr = n!/r!(n-r)!\n#ループ回すだけ版や\ndef fFr(iX,iR=1):\n if iR == 0 or iX == 0:\n return 1\n else :\n iRet = 1\n for i in range(iR,iX+1):\n iRet *= i\n return iRet\n\ndef fnCr(iN,iR):\n if iR == 0:\n return 1\n else:\n return fFr(iN,iR+1) // fFr(iN-iR)\n\n#階乗(iDを法とした)の配列\naM = [1]*(iH+iW-1)\nfor i in range(1,iH+iW-1):\n aM[i]=aM[i-1]*i %iD\n#各階乗のiDを法とした逆元の配列\naInvM = [1]*(iH+iW-1)\naInvM[iH+iW-2] = fBiPow(aM[iH+iW-2],iD-2,iD)\nfor i in range(iH+iW-2,0,-1):\n aInvM[i-1]=aInvM[i]*i % iD\n\niRet = 0\nfor iL in range(0,iH-iA):\n #iRet += (fnCr(iL+iB-1,iL) * fnCr(iW-iB+iH-iL-2,iW-iB-1))%iD\n iRet += (aM[iL+iB-1]*aInvM[iL]*aInvM[iB-1]) % iD * (aM[iW-iB+iH-iL-2]*aInvM[iW-iB-1]*aInvM[iH-iL-1])%iD\n iRet %= iD\niRet %= iD\nprint(iRet)",
"int(x) for x in input().split()",
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"iN > 0",
"iN",
"0",
"if iN % 2 == 0:\n iX = iX * iX % iD\n iN = iN // 2\n else:\n iY = iX * iY % iD\n iN = iN - 1\n ",
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"fFr",
"if iR == 0 or iX == 0:\n return 1\n else :\n iRet = 1\n for i in range(iR,iX+1):\n iRet *= i\n return iRet",
"iR == 0 or iX == 0",
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"iR",
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"def fnCr(iN,iR):\n if iR == 0:\n return 1\n else:\n return fFr(iN,iR+1) // fFr(iN-iR)\n\n#階乗(iDを法とした)の配列",
"fnCr",
"if iR == 0:\n return 1\n else:\n return fFr(iN,iR+1) // fFr(iN-iR)\n\n#階乗(iDを法とした)の配列",
"iR == 0",
"iR",
"0",
"return 1",
"1",
"return fFr(iN,iR+1) // fFr(iN-iR)",
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"i",
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"range",
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"iH+iW",
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"iRet",
"(aM[iL+iB-1]*aInvM[iL]*aInvM[iB-1]) % iD * (aM[iW-iB+iH-iL-2]*aInvM[iW-iB-1]*aInvM[iH-iL-1])%iD",
"(aM[iL+iB-1]*aInvM[iL]*aInvM[iB-1]) % iD * (aM[iW-iB+iH-iL-2]*aInvM[iW-iB-1]*aInvM[iH-iL-1])",
"(aM[iL+iB-1]*aInvM[iL]*aInvM[iB-1]) % iD",
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"def fFr(iX,iR=1):\n if iR == 0 or iX == 0:\n return 1\n else :\n iRet = 1\n for i in range(iR,iX+1):\n iRet *= i\n return iRet",
"fFr",
"aInvM = [1]*(iH+iW-1)",
"[1]*(iH+iW-1)",
"aInvM",
"iW,iA,iB = [int(x) for x in input().split()]",
"[int(x) for x in input().split()]",
"iW",
"iH,iW,iA,iB = [int(x) for x in input().split()]",
"[int(x) for x in input().split()]",
"iH",
"iRet %= iD",
"iD",
"iRet",
"iRet += (aM[iL+iB-1]*aInvM[iL]*aInvM[iB-1]) % iD * (aM[iW-iB+iH-iL-2]*aInvM[iW-iB-1]*aInvM[iH-iL-1])%iD",
"(aM[iL+iB-1]*aInvM[iL]*aInvM[iB-1]) % iD * (aM[iW-iB+iH-iL-2]*aInvM[iW-iB-1]*aInvM[iH-iL-1])%iD",
"iRet",
"iB = [int(x) for x in input().split()]",
"[int(x) for x in input().split()]",
"iB",
"aM = [1]*(iH+iW-1)",
"[1]*(iH+iW-1)",
"aM",
"iA,iB = [int(x) for x in input().split()]",
"[int(x) for x in input().split()]",
"iA",
"iD = 10**9+7",
"10**9+7",
"iD",
"iRet = 0",
"0",
"iRet",
"iRet %= iD",
"iD",
"iRet",
"def fBiPow(iX,iN,iD):\n iY = 1\n while iN > 0:\n if iN % 2 == 0:\n iX = iX * iX % iD\n iN = iN // 2\n else:\n iY = iX * iY % iD\n iN = iN - 1\n return iY\n\n#nCr = n!/r!(n-r)!\n#ループ回すだけ版や",
"def fBiPow(iX,iN,iD):\n iY = 1\n while iN > 0:\n if iN % 2 == 0:\n iX = iX * iX % iD\n iN = iN // 2\n else:\n iY = iX * iY % iD\n iN = iN - 1\n return iY\n\n#nCr = n!/r!(n-r)!\n#ループ回すだけ版や",
"fBiPow",
"def fnCr(iN,iR):\n if iR == 0:\n return 1\n else:\n return fFr(iN,iR+1) // fFr(iN-iR)\n\n#階乗(iDを法とした)の配列",
"def fnCr(iN,iR):\n if iR == 0:\n return 1\n else:\n return fFr(iN,iR+1) // fFr(iN-iR)\n\n#階乗(iDを法とした)の配列",
"fnCr"
] | iH,iW,iA,iB = [int(x) for x in input().split()]
iD = 10**9+7 #法
#初等整数論勉強して解説通りキッチリ実装したった
#二分累乗法 iDを法として
def fBiPow(iX,iN,iD):
iY = 1
while iN > 0:
if iN % 2 == 0:
iX = iX * iX % iD
iN = iN // 2
else:
iY = iX * iY % iD
iN = iN - 1
return iY
#nCr = n!/r!(n-r)!
#ループ回すだけ版や
def fFr(iX,iR=1):
if iR == 0 or iX == 0:
return 1
else :
iRet = 1
for i in range(iR,iX+1):
iRet *= i
return iRet
def fnCr(iN,iR):
if iR == 0:
return 1
else:
return fFr(iN,iR+1) // fFr(iN-iR)
#階乗(iDを法とした)の配列
aM = [1]*(iH+iW-1)
for i in range(1,iH+iW-1):
aM[i]=aM[i-1]*i %iD
#各階乗のiDを法とした逆元の配列
aInvM = [1]*(iH+iW-1)
aInvM[iH+iW-2] = fBiPow(aM[iH+iW-2],iD-2,iD)
for i in range(iH+iW-2,0,-1):
aInvM[i-1]=aInvM[i]*i % iD
iRet = 0
for iL in range(0,iH-iA):
#iRet += (fnCr(iL+iB-1,iL) * fnCr(iW-iB+iH-iL-2,iW-iB-1))%iD
iRet += (aM[iL+iB-1]*aInvM[iL]*aInvM[iB-1]) % iD * (aM[iW-iB+iH-iL-2]*aInvM[iW-iB-1]*aInvM[iH-iL-1])%iD
iRet %= iD
iRet %= iD
print(iRet)
|
[
7,
0,
13,
4,
13,
13,
4,
18,
4,
13,
13,
13,
13,
13,
0,
13,
2,
2,
17,
17,
17,
0,
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39,
17,
28,
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4,
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2,
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10,
4,
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10,
17,
13
] | [
[
146,
2
],
[
146,
11
],
[
146,
12
],
[
146,
13
],
[
137,
15
],
[
140,
22
],
[
27,
26
],
[
147,
30
],
[
135,
31
],
[
141,
34
],
[
141,
39
],
[
26,
40
],
[
26,
42
],
[
138,
44
],
[
141,
52
],
[
76,
53
],
[
141,
57
],
[
78,
58
],
[
80,
60
],
[
80,
62
],
[
141,
66
],
[
76,
68
],
[
78,
69
],
[
80,
71
],
[
80,
73
],
[
80,
74
],
[
76,
76
],
[
78,
78
],
[
80,
80
],
[
149,
82
],
[
86,
85
],
[
126,
88
],
[
135,
89
],
[
143,
91
],
[
132,
95
],
[
147,
99
],
[
129,
100
],
[
85,
101
],
[
85,
103
],
[
138,
104
],
[
132,
106
],
[
129,
110
],
[
135,
111
],
[
85,
112
],
[
129,
115
],
[
138,
117
],
[
138,
118
],
[
144,
122
],
[
150,
122
],
[
138,
123
],
[
146,
126
],
[
146,
129
],
[
146,
135
],
[
137,
138
],
[
140,
141
],
[
143,
144
],
[
146,
147
],
[
149,
150
]
] | [
"H,W,A,B = map(int,input().split())\n\nmod = 10**9 + 7\n\nf = [1]\nfor i in range(H+W):\n f.append(f[i]*(i+1)%mod)\n\ndef comb(A,B,mod):\n return f[A] * pow(f[B],mod-2,mod) * pow(f[A-B],mod-2,mod) % mod\n\nres = 0\n\nfor i in range(B,W):\n res += comb(H-A+i-1,i,mod) * comb(A+W-i-2,A-1,mod) % mod\n\nprint(res%mod)",
"H,W,A,B = map(int,input().split())",
"H",
"map(int,input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"W",
"A",
"B",
"mod = 10**9 + 7",
"mod",
"10**9 + 7",
"10**9",
"10",
"9",
"7",
"f = [1]",
"f",
"[1]",
"1",
"for i in range(H+W):\n f.append(f[i]*(i+1)%mod)",
"i",
"range(H+W)",
"range",
"H+W",
"H",
"W",
"f.append(f[i]*(i+1)%mod)",
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"f[i]*(i+1)",
"f[i]",
"f",
"i",
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"i",
"1",
"mod",
"def comb(A,B,mod):\n return f[A] * pow(f[B],mod-2,mod) * pow(f[A-B],mod-2,mod) % mod",
"comb",
"return f[A] * pow(f[B],mod-2,mod) * pow(f[A-B],mod-2,mod) % mod",
"f[A] * pow(f[B],mod-2,mod) * pow(f[A-B],mod-2,mod) % mod",
"f[A] * pow(f[B],mod-2,mod) * pow(f[A-B],mod-2,mod)",
"f[A] * pow(f[B],mod-2,mod)",
"f[A]",
"f",
"A",
"pow(f[B],mod-2,mod)",
"pow",
"f[B]",
"f",
"B",
"mod-2",
"mod",
"2",
"mod",
"pow(f[A-B],mod-2,mod)",
"pow",
"f[A-B]",
"f",
"A-B",
"A",
"B",
"mod-2",
"mod",
"2",
"mod",
"mod",
"A",
"A",
"B",
"B",
"mod",
"mod",
"res = 0",
"res",
"0",
"for i in range(B,W):\n res += comb(H-A+i-1,i,mod) * comb(A+W-i-2,A-1,mod) % mod",
"i",
"range(B,W)",
"range",
"B",
"W",
"res += comb(H-A+i-1,i,mod) * comb(A+W-i-2,A-1,mod) % mod",
"res",
"comb(H-A+i-1,i,mod) * comb(A+W-i-2,A-1,mod) % mod",
"comb(H-A+i-1,i,mod) * comb(A+W-i-2,A-1,mod)",
"comb(H-A+i-1,i,mod)",
"comb",
"H-A+i-1",
"H-A+i",
"H-A",
"H",
"A",
"i",
"1",
"i",
"mod",
"comb(A+W-i-2,A-1,mod)",
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"A+W",
"A",
"W",
"i",
"2",
"A-1",
"A",
"1",
"mod",
"mod",
"print(res%mod)",
"print",
"res%mod",
"res",
"mod",
"B = map(int,input().split())",
"map(int,input().split())",
"B",
"A,B = map(int,input().split())",
"map(int,input().split())",
"A",
"def comb(A,B,mod):\n return f[A] * pow(f[B],mod-2,mod) * pow(f[A-B],mod-2,mod) % mod",
"def comb(A,B,mod):\n return f[A] * pow(f[B],mod-2,mod) * pow(f[A-B],mod-2,mod) % mod",
"comb",
"W,A,B = map(int,input().split())",
"map(int,input().split())",
"W",
"mod = 10**9 + 7",
"10**9 + 7",
"mod",
"f = [1]",
"[1]",
"f",
"res += comb(H-A+i-1,i,mod) * comb(A+W-i-2,A-1,mod) % mod",
"comb(H-A+i-1,i,mod) * comb(A+W-i-2,A-1,mod) % mod",
"res",
"H,W,A,B = map(int,input().split())",
"map(int,input().split())",
"H",
"res = 0",
"0",
"res"
] | H,W,A,B = map(int,input().split())
mod = 10**9 + 7
f = [1]
for i in range(H+W):
f.append(f[i]*(i+1)%mod)
def comb(A,B,mod):
return f[A] * pow(f[B],mod-2,mod) * pow(f[A-B],mod-2,mod) % mod
res = 0
for i in range(B,W):
res += comb(H-A+i-1,i,mod) * comb(A+W-i-2,A-1,mod) % mod
print(res%mod) |
[
7,
0,
13,
2,
17,
2,
17,
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0,
13,
2,
2,
17,
17,
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39,
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0,
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28,
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4,
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0,
13,
2,
4,
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2,
2,
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17,
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2,
2,
2,
13,
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17,
2,
2,
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17,
0,
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4,
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10,
12,
13,
10,
4,
13,
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4,
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10,
2,
13,
10,
4,
13,
10,
2,
13,
10,
17,
13,
10,
4,
13,
10,
2,
13,
10,
2,
13,
10,
2,
13,
10,
13,
13
] | [
[
210,
2
],
[
192,
9
],
[
207,
16
],
[
211,
21
],
[
198,
24
],
[
211,
29
],
[
33,
32
],
[
211,
37
],
[
43,
40
],
[
208,
41
],
[
32,
42
],
[
208,
46
],
[
32,
48
],
[
32,
50
],
[
193,
51
],
[
56,
53
],
[
199,
54
],
[
211,
55
],
[
208,
59
],
[
211,
60
],
[
193,
62
],
[
193,
64
],
[
67,
66
],
[
211,
69
],
[
78,
73
],
[
199,
74
],
[
66,
76
],
[
199,
81
],
[
66,
82
],
[
66,
83
],
[
193,
84
],
[
125,
90
],
[
125,
93
],
[
123,
94
],
[
99,
98
],
[
208,
100
],
[
123,
101
],
[
104,
103
],
[
199,
105
],
[
125,
106
],
[
109,
108
],
[
193,
109
],
[
112,
111
],
[
199,
113
],
[
123,
115
],
[
125,
116
],
[
119,
118
],
[
193,
119
],
[
118,
121
],
[
111,
121
],
[
108,
121
],
[
103,
121
],
[
98,
121
],
[
123,
123
],
[
125,
125
],
[
204,
127
],
[
204,
136
],
[
204,
137
],
[
204,
138
],
[
201,
140
],
[
144,
143
],
[
205,
147
],
[
187,
148
],
[
213,
150
],
[
184,
153
],
[
190,
156
],
[
143,
157
],
[
143,
159
],
[
184,
161
],
[
196,
166
],
[
205,
167
],
[
190,
168
],
[
143,
169
],
[
205,
173
],
[
143,
174
],
[
216,
177
],
[
193,
178
],
[
217,
181
],
[
214,
181
],
[
202,
181
],
[
204,
187
],
[
204,
190
],
[
192,
193
],
[
204,
196
],
[
198,
199
],
[
201,
202
],
[
204,
205
],
[
207,
208
],
[
210,
211
],
[
213,
214
],
[
193,
216
],
[
216,
217
]
] | [
"U = 2*10**6\nMOD = 10**9+7\n \nfact = [1]*(U+1)\nfact_inv = [1]*(U+1)\n \nfor i in range(1,U+1):\n fact[i] = (fact[i-1]*i)%MOD\nfact_inv[U] = pow(fact[U],MOD-2,MOD)\n \nfor i in range(U,0,-1):\n fact_inv[i-1] = (fact_inv[i]*i)%MOD\n \ndef comb(n,k):\n if k < 0 or k > n:\n return 0\n z = fact[n]\n z *= fact_inv[k]\n z %= MOD\n z *= fact_inv[n-k]\n z %= MOD\n return z\n\nh, w, a, b = map(int, input().split())\nans = 0\nfor i in range(h-a):\n ans += comb(b+i-1, i) * comb(w+h-b-i-2, h-i-1)\n ans %= MOD\nprint(ans)",
"U = 2*10**6",
"U",
"2*10**6",
"2",
"10**6",
"10",
"6",
"MOD = 10**9+7",
"MOD",
"10**9+7",
"10**9",
"10",
"9",
"7",
"fact = [1]*(U+1)",
"fact",
"[1]*(U+1)",
"[1]",
"1",
"U+1",
"U",
"1",
"fact_inv = [1]*(U+1)",
"fact_inv",
"[1]*(U+1)",
"[1]",
"1",
"U+1",
"U",
"1",
"for i in range(1,U+1):\n fact[i] = (fact[i-1]*i)%MOD",
"i",
"range(1,U+1)",
"range",
"1",
"U+1",
"U",
"1",
"fact[i] = (fact[i-1]*i)%MOD",
"fact[i]",
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"i",
"(fact[i-1]*i)%MOD",
"fact[i-1]*i",
"fact[i-1]",
"fact",
"i-1",
"i",
"1",
"i",
"MOD",
"fact_inv[U] = pow(fact[U],MOD-2,MOD)",
"fact_inv[U]",
"fact_inv",
"U",
"pow(fact[U],MOD-2,MOD)",
"pow",
"fact[U]",
"fact",
"U",
"MOD-2",
"MOD",
"2",
"MOD",
"for i in range(U,0,-1):\n fact_inv[i-1] = (fact_inv[i]*i)%MOD\n ",
"i",
"range(U,0,-1)",
"range",
"U",
"0",
"-1",
"fact_inv[i-1] = (fact_inv[i]*i)%MOD",
"fact_inv[i-1]",
"fact_inv",
"i-1",
"i",
"1",
"(fact_inv[i]*i)%MOD",
"fact_inv[i]*i",
"fact_inv[i]",
"fact_inv",
"i",
"i",
"MOD",
"def comb(n,k):\n if k < 0 or k > n:\n return 0\n z = fact[n]\n z *= fact_inv[k]\n z %= MOD\n z *= fact_inv[n-k]\n z %= MOD\n return z",
"comb",
"if k < 0 or k > n:\n return 0\n ",
"k < 0 or k > n",
"k < 0",
"k",
"0",
"k > n",
"k",
"n",
"return 0",
"0",
"z = fact[n]",
"z",
"fact[n]",
"fact",
"n",
"z *= fact_inv[k]",
"z",
"fact_inv[k]",
"fact_inv",
"k",
"z %= MOD",
"z",
"MOD",
"z *= fact_inv[n-k]",
"z",
"fact_inv[n-k]",
"fact_inv",
"n-k",
"n",
"k",
"z %= MOD",
"z",
"MOD",
"return z",
"z",
"n",
"n",
"k",
"k",
"h, w, a, b = map(int, input().split())",
"h",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"w",
"a",
"b",
"ans = 0",
"ans",
"0",
"for i in range(h-a):\n ans += comb(b+i-1, i) * comb(w+h-b-i-2, h-i-1)\n ans %= MOD",
"i",
"range(h-a)",
"range",
"h-a",
"h",
"a",
"ans += comb(b+i-1, i) * comb(w+h-b-i-2, h-i-1)",
"ans",
"comb(b+i-1, i) * comb(w+h-b-i-2, h-i-1)",
"comb(b+i-1, i)",
"comb",
"b+i-1",
"b+i",
"b",
"i",
"1",
"i",
"comb(w+h-b-i-2, h-i-1)",
"comb",
"w+h-b-i-2",
"w+h-b-i",
"w+h-b",
"w+h",
"w",
"h",
"b",
"i",
"2",
"h-i-1",
"h-i",
"h",
"i",
"1",
"ans %= MOD",
"ans",
"MOD",
"print(ans)",
"print",
"ans",
"def comb(n,k):\n if k < 0 or k > n:\n return 0\n z = fact[n]\n z *= fact_inv[k]\n z %= MOD\n z *= fact_inv[n-k]\n z %= MOD\n return z",
"def comb(n,k):\n if k < 0 or k > n:\n return 0\n z = fact[n]\n z *= fact_inv[k]\n z %= MOD\n z *= fact_inv[n-k]\n z %= MOD\n return z",
"comb",
"a, b = map(int, input().split())",
"map(int, input().split())",
"a",
"b = map(int, input().split())",
"map(int, input().split())",
"b",
"MOD = 10**9+7",
"10**9+7",
"MOD",
"w, a, b = map(int, input().split())",
"map(int, input().split())",
"w",
"fact_inv = [1]*(U+1)",
"[1]*(U+1)",
"fact_inv",
"ans = 0",
"0",
"ans",
"h, w, a, b = map(int, input().split())",
"map(int, input().split())",
"h",
"fact = [1]*(U+1)",
"[1]*(U+1)",
"fact",
"U = 2*10**6",
"2*10**6",
"U",
"ans += comb(b+i-1, i) * comb(w+h-b-i-2, h-i-1)",
"comb(b+i-1, i) * comb(w+h-b-i-2, h-i-1)",
"ans",
"ans %= MOD",
"MOD",
"ans"
] | U = 2*10**6
MOD = 10**9+7
fact = [1]*(U+1)
fact_inv = [1]*(U+1)
for i in range(1,U+1):
fact[i] = (fact[i-1]*i)%MOD
fact_inv[U] = pow(fact[U],MOD-2,MOD)
for i in range(U,0,-1):
fact_inv[i-1] = (fact_inv[i]*i)%MOD
def comb(n,k):
if k < 0 or k > n:
return 0
z = fact[n]
z *= fact_inv[k]
z %= MOD
z *= fact_inv[n-k]
z %= MOD
return z
h, w, a, b = map(int, input().split())
ans = 0
for i in range(h-a):
ans += comb(b+i-1, i) * comb(w+h-b-i-2, h-i-1)
ans %= MOD
print(ans) |
[
7,
15,
15,
13,
0,
13,
39,
0,
13,
39,
0,
13,
2,
2,
17,
17,
17,
12,
13,
29,
18,
13,
13,
23,
13,
12,
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29,
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] | [
"from functools import reduce\nimport math\n\nmemo = []\nmemo_inv = []\nMOD = 10**9+7\n \ndef get_factorial(i):\n return memo[i]\n\ndef get_factorial_inv(i):\n return memo_inv[i]\n\ndef nCr(n, r):\n return get_factorial(n) * get_factorial_inv(n-r) * get_factorial_inv(r)\n\ndef main():\n # 一文字のみを読み込み\n # s = input().rstrip().split(' ')\n \n # スペース区切りで標準入力を配列として読み込み\n # s = input().rstrip().split(' ')\n\n # 位置文字ずつ標準入力を配列として読み込み\n # s = list(input().rstrip())\n \n slist = input().rstrip().split(' ')\n H = int(slist[0])\n W = int(slist[1])\n A = int(slist[2])\n B = int(slist[3])\n global memo\n memo = [1]*(H+W+1)\n f= 1\n for i in range(1,H+W+1):\n f *=i\n f %=MOD\n memo[i] = f\n \n global memo_inv\n memo_inv = [1]*(H+W+1)\n memo_inv[H+W] = pow(memo[H+W],MOD-2,MOD)\n f_inv = memo_inv[H+W]\n for i in range(H+W-1,0,-1):\n f_inv *= i +1\n f_inv %= MOD\n memo_inv[i] = f_inv\n \n ans = 0\n for i in range(B,W):\n ans += nCr(i+H-A-1,i) * nCr(W-i-1+A-1,A-1)\n print(ans % MOD)\n \nif __name__ == '__main__':\n main()",
"from functools import reduce",
"import math",
"math",
"memo = []",
"memo",
"[]",
"memo_inv = []",
"memo_inv",
"[]",
"MOD = 10**9+7",
"MOD",
"10**9+7",
"10**9",
"10",
"9",
"7",
"def get_factorial(i):\n return memo[i]",
"get_factorial",
"return memo[i]",
"memo[i]",
"memo",
"i",
"i",
"i",
"def get_factorial_inv(i):\n return memo_inv[i]",
"get_factorial_inv",
"return memo_inv[i]",
"memo_inv[i]",
"memo_inv",
"i",
"i",
"i",
"def nCr(n, r):\n return get_factorial(n) * get_factorial_inv(n-r) * get_factorial_inv(r)",
"nCr",
"return get_factorial(n) * get_factorial_inv(n-r) * get_factorial_inv(r)",
"get_factorial(n) * get_factorial_inv(n-r) * get_factorial_inv(r)",
"get_factorial(n) * get_factorial_inv(n-r)",
"get_factorial(n)",
"get_factorial",
"n",
"get_factorial_inv(n-r)",
"get_factorial_inv",
"n-r",
"n",
"r",
"get_factorial_inv(r)",
"get_factorial_inv",
"r",
"n",
"n",
"r",
"r",
"def main():\n # 一文字のみを読み込み\n # s = input().rstrip().split(' ')\n \n # スペース区切りで標準入力を配列として読み込み\n # s = input().rstrip().split(' ')\n\n # 位置文字ずつ標準入力を配列として読み込み\n # s = list(input().rstrip())\n \n slist = input().rstrip().split(' ')\n H = int(slist[0])\n W = int(slist[1])\n A = int(slist[2])\n B = int(slist[3])\n global memo\n memo = [1]*(H+W+1)\n f= 1\n for i in range(1,H+W+1):\n f *=i\n f %=MOD\n memo[i] = f\n \n global memo_inv\n memo_inv = [1]*(H+W+1)\n memo_inv[H+W] = pow(memo[H+W],MOD-2,MOD)\n f_inv = memo_inv[H+W]\n for i in range(H+W-1,0,-1):\n f_inv *= i +1\n f_inv %= MOD\n memo_inv[i] = f_inv\n \n ans = 0\n for i in range(B,W):\n ans += nCr(i+H-A-1,i) * nCr(W-i-1+A-1,A-1)\n print(ans % MOD)\n ",
"main",
"slist = input().rstrip().split(' ')",
"slist",
"input().rstrip().split(' ')",
"().rstrip().split",
"().rstrip()",
"().rstrip",
"()",
"input",
"rstrip",
"split",
"' '",
"H = int(slist[0])",
"H",
"int(slist[0])",
"int",
"slist[0]",
"slist",
"0",
"W = int(slist[1])",
"W",
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"slist",
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"A = int(slist[2])",
"A",
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"slist",
"2",
"B = int(slist[3])",
"B",
"int(slist[3])",
"int",
"slist[3]",
"slist",
"3",
"global memo",
"memo = [1]*(H+W+1)",
"memo",
"[1]*(H+W+1)",
"[1]",
"1",
"H+W+1",
"H+W",
"H",
"W",
"1",
"f= 1",
"f",
"1",
"for i in range(1,H+W+1):\n f *=i\n f %=MOD\n memo[i] = f\n \n ",
"i",
"range(1,H+W+1)",
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"1",
"H+W+1",
"H+W",
"H",
"W",
"1",
"f *=i",
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"f",
"MOD",
"memo[i] = f",
"memo[i]",
"memo",
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"f",
"global memo_inv",
"memo_inv = [1]*(H+W+1)",
"memo_inv",
"[1]*(H+W+1)",
"[1]",
"1",
"H+W+1",
"H+W",
"H",
"W",
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"memo_inv[H+W] = pow(memo[H+W],MOD-2,MOD)",
"memo_inv[H+W]",
"memo_inv",
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"H",
"W",
"pow(memo[H+W],MOD-2,MOD)",
"pow",
"memo[H+W]",
"memo",
"H+W",
"H",
"W",
"MOD-2",
"MOD",
"2",
"MOD",
"f_inv = memo_inv[H+W]",
"f_inv",
"memo_inv[H+W]",
"memo_inv",
"H+W",
"H",
"W",
"for i in range(H+W-1,0,-1):\n f_inv *= i +1\n f_inv %= MOD\n memo_inv[i] = f_inv\n \n ",
"i",
"range(H+W-1,0,-1)",
"range",
"H+W-1",
"H+W",
"H",
"W",
"1",
"0",
"-1",
"f_inv *= i +1",
"f_inv",
"i +1",
"i",
"1",
"f_inv %= MOD",
"f_inv",
"MOD",
"memo_inv[i] = f_inv",
"memo_inv[i]",
"memo_inv",
"i",
"f_inv",
"ans = 0",
"ans",
"0",
"for i in range(B,W):\n ans += nCr(i+H-A-1,i) * nCr(W-i-1+A-1,A-1)\n ",
"i",
"range(B,W)",
"range",
"B",
"W",
"ans += nCr(i+H-A-1,i) * nCr(W-i-1+A-1,A-1)",
"ans",
"nCr(i+H-A-1,i) * nCr(W-i-1+A-1,A-1)",
"nCr(i+H-A-1,i)",
"nCr",
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"i+H-A",
"i+H",
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"H",
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"nCr(W-i-1+A-1,A-1)",
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"W-i-1",
"W-i",
"W",
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"A",
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"print(ans % MOD)",
"print",
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"ans",
"MOD",
"if __name__ == '__main__':\n main()",
"__name__ == '__main__'",
"__name__",
"'__main__'",
"main()",
"main",
"memo = []",
"[]",
"memo",
"memo_inv = []",
"[]",
"memo_inv",
"def nCr(n, r):\n return get_factorial(n) * get_factorial_inv(n-r) * get_factorial_inv(r)",
"def nCr(n, r):\n return get_factorial(n) * get_factorial_inv(n-r) * get_factorial_inv(r)",
"nCr",
"MOD = 10**9+7",
"10**9+7",
"MOD",
"def main():\n # 一文字のみを読み込み\n # s = input().rstrip().split(' ')\n \n # スペース区切りで標準入力を配列として読み込み\n # s = input().rstrip().split(' ')\n\n # 位置文字ずつ標準入力を配列として読み込み\n # s = list(input().rstrip())\n \n slist = input().rstrip().split(' ')\n H = int(slist[0])\n W = int(slist[1])\n A = int(slist[2])\n B = int(slist[3])\n global memo\n memo = [1]*(H+W+1)\n f= 1\n for i in range(1,H+W+1):\n f *=i\n f %=MOD\n memo[i] = f\n \n global memo_inv\n memo_inv = [1]*(H+W+1)\n memo_inv[H+W] = pow(memo[H+W],MOD-2,MOD)\n f_inv = memo_inv[H+W]\n for i in range(H+W-1,0,-1):\n f_inv *= i +1\n f_inv %= MOD\n memo_inv[i] = f_inv\n \n ans = 0\n for i in range(B,W):\n ans += nCr(i+H-A-1,i) * nCr(W-i-1+A-1,A-1)\n print(ans % MOD)\n ",
"def main():\n # 一文字のみを読み込み\n # s = input().rstrip().split(' ')\n \n # スペース区切りで標準入力を配列として読み込み\n # s = input().rstrip().split(' ')\n\n # 位置文字ずつ標準入力を配列として読み込み\n # s = list(input().rstrip())\n \n slist = input().rstrip().split(' ')\n H = int(slist[0])\n W = int(slist[1])\n A = int(slist[2])\n B = int(slist[3])\n global memo\n memo = [1]*(H+W+1)\n f= 1\n for i in range(1,H+W+1):\n f *=i\n f %=MOD\n memo[i] = f\n \n global memo_inv\n memo_inv = [1]*(H+W+1)\n memo_inv[H+W] = pow(memo[H+W],MOD-2,MOD)\n f_inv = memo_inv[H+W]\n for i in range(H+W-1,0,-1):\n f_inv *= i +1\n f_inv %= MOD\n memo_inv[i] = f_inv\n \n ans = 0\n for i in range(B,W):\n ans += nCr(i+H-A-1,i) * nCr(W-i-1+A-1,A-1)\n print(ans % MOD)\n ",
"main",
"def get_factorial_inv(i):\n return memo_inv[i]",
"def get_factorial_inv(i):\n return memo_inv[i]",
"get_factorial_inv",
"def get_factorial(i):\n return memo[i]",
"def get_factorial(i):\n return memo[i]",
"get_factorial"
] | from functools import reduce
import math
memo = []
memo_inv = []
MOD = 10**9+7
def get_factorial(i):
return memo[i]
def get_factorial_inv(i):
return memo_inv[i]
def nCr(n, r):
return get_factorial(n) * get_factorial_inv(n-r) * get_factorial_inv(r)
def main():
# 一文字のみを読み込み
# s = input().rstrip().split(' ')
# スペース区切りで標準入力を配列として読み込み
# s = input().rstrip().split(' ')
# 位置文字ずつ標準入力を配列として読み込み
# s = list(input().rstrip())
slist = input().rstrip().split(' ')
H = int(slist[0])
W = int(slist[1])
A = int(slist[2])
B = int(slist[3])
global memo
memo = [1]*(H+W+1)
f= 1
for i in range(1,H+W+1):
f *=i
f %=MOD
memo[i] = f
global memo_inv
memo_inv = [1]*(H+W+1)
memo_inv[H+W] = pow(memo[H+W],MOD-2,MOD)
f_inv = memo_inv[H+W]
for i in range(H+W-1,0,-1):
f_inv *= i +1
f_inv %= MOD
memo_inv[i] = f_inv
ans = 0
for i in range(B,W):
ans += nCr(i+H-A-1,i) * nCr(W-i-1+A-1,A-1)
print(ans % MOD)
if __name__ == '__main__':
main()
|
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[
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[
196,
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148,
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191,
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187,
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[
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188,
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209,
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[
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187,
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205,
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[
205,
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[
205,
206
],
[
208,
209
],
[
211,
212
]
] | [
"h, w, a, b = map(int, input().split())\n\nMOD = 1000000007\n\n\ndef modPow(a, x, p):\n res = 1\n while (x > 0):\n if (x % 2 != 0):\n res = (res * a) % p\n a = (a * a) % p\n x /= 2\n return res\n\n\nfact = [None] * 220000\n\nfor i in range(1, 220000):\n fact[0] = 1\n fact[i] = i * fact[i - 1] % MOD\n # inv[i] = modPow(fact[i], MOD-2, MOD)\n\n\ndef ncr(n, r):\n den = fact[n - r] * fact[r] % MOD\n return fact[n] * pow(den, MOD - 2, MOD) % MOD\n\n\ndef number_of_paths(h, w):\n n = h + w - 2\n r = h - 1\n return ncr(n, r)\n\n\nans = 0\nfor i in range(b + 1, w + 1):\n # print('first', h-a, i)\n ans += number_of_paths(h - a, i) * number_of_paths(a, w - i + 1)\n\nprint(int(ans % MOD))",
"h, w, a, b = map(int, input().split())",
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"modPow",
"res = 1",
"res",
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"def number_of_paths(h, w):\n n = h + w - 2\n r = h - 1\n return ncr(n, r)",
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"h + w - 2",
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"def ncr(n, r):\n den = fact[n - r] * fact[r] % MOD\n return fact[n] * pow(den, MOD - 2, MOD) % MOD",
"def ncr(n, r):\n den = fact[n - r] * fact[r] % MOD\n return fact[n] * pow(den, MOD - 2, MOD) % MOD",
"ncr",
"h, w, a, b = map(int, input().split())",
"map(int, input().split())",
"h",
"ans += number_of_paths(h - a, i) * number_of_paths(a, w - i + 1)",
"number_of_paths(h - a, i) * number_of_paths(a, w - i + 1)",
"ans",
"w, a, b = map(int, input().split())",
"map(int, input().split())",
"w",
"def number_of_paths(h, w):\n n = h + w - 2\n r = h - 1\n return ncr(n, r)",
"def number_of_paths(h, w):\n n = h + w - 2\n r = h - 1\n return ncr(n, r)",
"number_of_paths",
"ans = 0",
"0",
"ans",
"b = map(int, input().split())",
"map(int, input().split())",
"b",
"def modPow(a, x, p):\n res = 1\n while (x > 0):\n if (x % 2 != 0):\n res = (res * a) % p\n a = (a * a) % p\n x /= 2\n return res",
"def modPow(a, x, p):\n res = 1\n while (x > 0):\n if (x % 2 != 0):\n res = (res * a) % p\n a = (a * a) % p\n x /= 2\n return res",
"modPow",
"a, b = map(int, input().split())",
"map(int, input().split())",
"a",
"MOD = 1000000007",
"1000000007",
"MOD",
"fact = [None] * 220000",
"[None] * 220000",
"fact"
] | h, w, a, b = map(int, input().split())
MOD = 1000000007
def modPow(a, x, p):
res = 1
while (x > 0):
if (x % 2 != 0):
res = (res * a) % p
a = (a * a) % p
x /= 2
return res
fact = [None] * 220000
for i in range(1, 220000):
fact[0] = 1
fact[i] = i * fact[i - 1] % MOD
# inv[i] = modPow(fact[i], MOD-2, MOD)
def ncr(n, r):
den = fact[n - r] * fact[r] % MOD
return fact[n] * pow(den, MOD - 2, MOD) % MOD
def number_of_paths(h, w):
n = h + w - 2
r = h - 1
return ncr(n, r)
ans = 0
for i in range(b + 1, w + 1):
# print('first', h-a, i)
ans += number_of_paths(h - a, i) * number_of_paths(a, w - i + 1)
print(int(ans % MOD))
|
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] | [
[
234,
2
],
[
234,
11
],
[
234,
12
],
[
234,
13
],
[
228,
15
],
[
214,
18
],
[
223,
19
],
[
216,
22
],
[
201,
29
],
[
229,
37
],
[
231,
39
],
[
229,
47
],
[
219,
49
],
[
229,
57
],
[
60,
59
],
[
229,
64
],
[
70,
67
],
[
202,
68
],
[
59,
69
],
[
202,
73
],
[
59,
75
],
[
59,
77
],
[
217,
78
],
[
83,
80
],
[
220,
81
],
[
59,
82
],
[
220,
87
],
[
217,
89
],
[
59,
90
],
[
217,
92
],
[
59,
93
],
[
217,
94
],
[
99,
96
],
[
232,
97
],
[
59,
98
],
[
232,
102
],
[
59,
104
],
[
80,
106
],
[
220,
107
],
[
59,
108
],
[
217,
109
],
[
143,
114
],
[
145,
115
],
[
143,
119
],
[
145,
122
],
[
202,
128
],
[
143,
129
],
[
232,
133
],
[
145,
134
],
[
232,
136
],
[
143,
138
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[
145,
139
],
[
217,
140
],
[
217,
141
],
[
143,
143
],
[
145,
145
],
[
198,
147
],
[
151,
150
],
[
223,
154
],
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235,
155
],
[
207,
157
],
[
226,
160
],
[
214,
165
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[
205,
167
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[
235,
168
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[
150,
169
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[
214,
172
],
[
205,
174
],
[
226,
176
],
[
205,
182
],
[
223,
184
],
[
235,
186
],
[
150,
187
],
[
205,
189
],
[
210,
192
],
[
217,
193
],
[
211,
196
],
[
208,
196
],
[
199,
196
],
[
198,
199
],
[
201,
202
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[
234,
205
],
[
207,
208
],
[
217,
210
],
[
210,
211
],
[
234,
214
],
[
216,
217
],
[
219,
220
],
[
234,
223
],
[
228,
229
],
[
231,
232
],
[
234,
235
]
] | [
"H,W,A,B = map(int,input().split())\n\nN = H+W+10\nMOD = 10**9+7\n\nfac = [1,1] + [0]*N\nfinv = [1,1] + [0]*N\ninv = [0,1] + [0]*N\nfor i in range(2,N+2):\n fac[i] = fac[i-1] * i % MOD\n inv[i] = -inv[MOD%i] * (MOD // i) % MOD\n finv[i] = finv[i-1] * inv[i] % MOD\n\ndef ncr(n,r):\n if n < r: return 0\n if n < 0 or r < 0: return 0\n return fac[n] * (finv[r] * finv[n-r] % MOD) % MOD\n\nans = 0\nfor i in range(W-B):\n ans += ncr(H-1-A+B+i, H-1-A) * ncr(A-1+W-1-B-i, A-1)\n ans %= MOD\nprint(ans)",
"H,W,A,B = map(int,input().split())",
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"def ncr(n,r):\n if n < r: return 0\n if n < 0 or r < 0: return 0\n return fac[n] * (finv[r] * finv[n-r] % MOD) % MOD",
"ncr",
"if n < r: return 0\n ",
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"i",
"range(W-B)",
"range",
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"fac = [1,1] + [0]*N",
"[1,1] + [0]*N",
"fac",
"A,B = map(int,input().split())",
"map(int,input().split())",
"A",
"ans += ncr(H-1-A+B+i, H-1-A) * ncr(A-1+W-1-B-i, A-1)",
"ncr(H-1-A+B+i, H-1-A) * ncr(A-1+W-1-B-i, A-1)",
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"MOD",
"inv = [0,1] + [0]*N",
"[0,1] + [0]*N",
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"W,A,B = map(int,input().split())",
"map(int,input().split())",
"W",
"def ncr(n,r):\n if n < r: return 0\n if n < 0 or r < 0: return 0\n return fac[n] * (finv[r] * finv[n-r] % MOD) % MOD",
"def ncr(n,r):\n if n < r: return 0\n if n < 0 or r < 0: return 0\n return fac[n] * (finv[r] * finv[n-r] % MOD) % MOD",
"ncr",
"N = H+W+10",
"H+W+10",
"N",
"finv = [1,1] + [0]*N",
"[1,1] + [0]*N",
"finv",
"B = map(int,input().split())",
"map(int,input().split())",
"B"
] | H,W,A,B = map(int,input().split())
N = H+W+10
MOD = 10**9+7
fac = [1,1] + [0]*N
finv = [1,1] + [0]*N
inv = [0,1] + [0]*N
for i in range(2,N+2):
fac[i] = fac[i-1] * i % MOD
inv[i] = -inv[MOD%i] * (MOD // i) % MOD
finv[i] = finv[i-1] * inv[i] % MOD
def ncr(n,r):
if n < r: return 0
if n < 0 or r < 0: return 0
return fac[n] * (finv[r] * finv[n-r] % MOD) % MOD
ans = 0
for i in range(W-B):
ans += ncr(H-1-A+B+i, H-1-A) * ncr(A-1+W-1-B-i, A-1)
ans %= MOD
print(ans) |
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] | [
[
262,
2
],
[
229,
9
],
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244,
16
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230,
20
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253,
22
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230,
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263,
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263,
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62,
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224,
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172,
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172,
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],
[
262,
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],
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],
[
268,
269
],
[
274,
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],
[
263,
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],
[
277,
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]
] | [
"MOD = 10**9 + 7\nMAX = 2*10**5\nfac = [0]*MAX # fac[n]: (n!) mod p\nfinv = [0]*MAX # finv[n]: (n!)^-1 mod p\ninv = [0]*MAX # inv[n]: (n)^-1 mod -p\n\n\ndef comb_init():\n global fac, finv, inv\n fac[0] = fac[1] = 1\n finv[0] = finv[1] = 1\n inv[1] = 1\n for i in range(2, MAX):\n fac[i] = fac[i-1] * i % MOD\n inv[i] = MOD - inv[MOD % i] * (MOD//i) % MOD\n finv[i] = finv[i-1] * inv[i] % MOD\n\n\ndef comb(n: int, r: int) -> int:\n global fac, finv\n if n < r:\n return 0\n if n < 0 or r < 0:\n return 0\n return fac[n] * (finv[r] * finv[n-r] % MOD) % MOD\n\n\nH, W, A, B = map(int, input().split())\ncomb_init()\nans = 0\n\nfor i in range(H-A):\n x = comb(B-1+i, i)\n a = H-1-i\n b = W-1-B\n x *= comb(a+b, a)\n x %= MOD\n ans += x\nans %= MOD\nprint(ans)",
"MOD = 10**9 + 7",
"MOD",
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"9",
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"MAX",
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"def comb_init():\n global fac, finv, inv\n fac[0] = fac[1] = 1\n finv[0] = finv[1] = 1\n inv[1] = 1\n for i in range(2, MAX):\n fac[i] = fac[i-1] * i % MOD\n inv[i] = MOD - inv[MOD % i] * (MOD//i) % MOD\n finv[i] = finv[i-1] * inv[i] % MOD",
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"def comb(n: int, r: int) -> int:\n global fac, finv\n if n < r:\n return 0\n if n < 0 or r < 0:\n return 0\n return fac[n] * (finv[r] * finv[n-r] % MOD) % MOD",
"def comb(n: int, r: int) -> int:\n global fac, finv\n if n < r:\n return 0\n if n < 0 or r < 0:\n return 0\n return fac[n] * (finv[r] * finv[n-r] % MOD) % MOD",
"comb",
"H, W, A, B = map(int, input().split())",
"map(int, input().split())",
"H",
"MAX = 2*10**5",
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"MOD = 10**9 + 7",
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"ans = 0",
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"b = W-1-B",
"W-1-B",
"b",
"def comb_init():\n global fac, finv, inv\n fac[0] = fac[1] = 1\n finv[0] = finv[1] = 1\n inv[1] = 1\n for i in range(2, MAX):\n fac[i] = fac[i-1] * i % MOD\n inv[i] = MOD - inv[MOD % i] * (MOD//i) % MOD\n finv[i] = finv[i-1] * inv[i] % MOD",
"def comb_init():\n global fac, finv, inv\n fac[0] = fac[1] = 1\n finv[0] = finv[1] = 1\n inv[1] = 1\n for i in range(2, MAX):\n fac[i] = fac[i-1] * i % MOD\n inv[i] = MOD - inv[MOD % i] * (MOD//i) % MOD\n finv[i] = finv[i-1] * inv[i] % MOD",
"comb_init",
"W, A, B = map(int, input().split())",
"map(int, input().split())",
"W",
"ans %= MOD",
"MOD",
"ans"
] | MOD = 10**9 + 7
MAX = 2*10**5
fac = [0]*MAX # fac[n]: (n!) mod p
finv = [0]*MAX # finv[n]: (n!)^-1 mod p
inv = [0]*MAX # inv[n]: (n)^-1 mod -p
def comb_init():
global fac, finv, inv
fac[0] = fac[1] = 1
finv[0] = finv[1] = 1
inv[1] = 1
for i in range(2, MAX):
fac[i] = fac[i-1] * i % MOD
inv[i] = MOD - inv[MOD % i] * (MOD//i) % MOD
finv[i] = finv[i-1] * inv[i] % MOD
def comb(n: int, r: int) -> int:
global fac, finv
if n < r:
return 0
if n < 0 or r < 0:
return 0
return fac[n] * (finv[r] * finv[n-r] % MOD) % MOD
H, W, A, B = map(int, input().split())
comb_init()
ans = 0
for i in range(H-A):
x = comb(B-1+i, i)
a = H-1-i
b = W-1-B
x *= comb(a+b, a)
x %= MOD
ans += x
ans %= MOD
print(ans)
|
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] | [
[
163,
2
],
[
163,
11
],
[
163,
12
],
[
163,
13
],
[
148,
15
],
[
140,
24
],
[
47,
24
],
[
42,
32
],
[
44,
33
],
[
42,
36
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44,
39
],
[
149,
40
],
[
42,
42
],
[
44,
44
],
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140,
46
],
[
47,
46
],
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52,
51
],
[
140,
53
],
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47,
53
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157,
55
],
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164,
60
],
[
152,
61
],
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64,
63
],
[
164,
68
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[
152,
69
],
[
74,
71
],
[
158,
72
],
[
63,
73
],
[
158,
77
],
[
63,
79
],
[
63,
81
],
[
149,
82
],
[
86,
85
],
[
158,
85
],
[
85,
90
],
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149,
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],
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149,
94
],
[
154,
96
],
[
160,
99
],
[
103,
102
],
[
146,
105
],
[
152,
106
],
[
142,
108
],
[
140,
112
],
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102,
113
],
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164,
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],
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137,
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],
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140,
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],
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],
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],
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152
],
[
154,
155
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[
157,
158
],
[
160,
161
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[
163,
164
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] | [
"H, W, A, B = map(int, input().split())\n\nm = 10**9 + 7\n\nimport functools\[email protected]_cache(maxsize=None)\ndef cr(c, r):\n return fc[c + r] * ic[c] * ic[r] % m\n\nfc = [1] * (H + W)\nfor i in range(2, H+W):\n fc[i] = fc[i - 1] * i % m\nic = [pow(x, m-2, m) for x in fc]\n\nans = 0\nfor c in range(B, W):\n ans += cr(c, H - 1 - A) * cr(W - 1 - c, A - 1) % m\nprint(ans % m)",
"H, W, A, B = map(int, input().split())",
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"def cr(c, r):\n return fc[c + r] * ic[c] * ic[r] % m",
"def cr(c, r):\n return fc[c + r] * ic[c] * ic[r] % m",
"cr",
"ans += cr(c, H - 1 - A) * cr(W - 1 - c, A - 1) % m",
"cr(c, H - 1 - A) * cr(W - 1 - c, A - 1) % m",
"ans",
"B = map(int, input().split())",
"map(int, input().split())",
"B",
"m = 10**9 + 7",
"10**9 + 7",
"m",
"W, A, B = map(int, input().split())",
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"W",
"ic = [pow(x, m-2, m) for x in fc]",
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"ic",
"fc = [1] * (H + W)",
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"ans = 0",
"0",
"ans",
"H, W, A, B = map(int, input().split())",
"map(int, input().split())",
"H"
] | H, W, A, B = map(int, input().split())
m = 10**9 + 7
import functools
@functools.lru_cache(maxsize=None)
def cr(c, r):
return fc[c + r] * ic[c] * ic[r] % m
fc = [1] * (H + W)
for i in range(2, H+W):
fc[i] = fc[i - 1] * i % m
ic = [pow(x, m-2, m) for x in fc]
ans = 0
for c in range(B, W):
ans += cr(c, H - 1 - A) * cr(W - 1 - c, A - 1) % m
print(ans % m) |
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[
10,
7
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24,
8
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28,
9
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[
28,
10
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[
15,
12
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[
24,
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24,
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26,
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15,
20
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24,
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24,
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26,
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29,
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85,
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170,
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105,
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170,
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156,
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97,
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144,
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170,
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332,
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332,
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332,
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302,
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311,
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299,
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281,
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284,
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312,
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282,
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315,
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329,
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324,
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306,
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324,
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326,
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285,
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330,
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290,
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] | [
"class Combination:\n \"\"\"\n SIZEが10^6程度以下の二項係数を何回も呼び出したいときに使う\n 使い方:\n comb = Combination(SIZE, MOD)\n comb(10, 3) => 120\n \"\"\"\n\n def __init__(self, N, MOD=10 ** 9 + 7):\n self.MOD = MOD\n self.fact, self.inv = self._make_factorial_list(N)\n\n def __call__(self, n, k):\n if k < 0 or k > n:\n return 0\n res = self.fact[n] * self.inv[k] % self.MOD\n res = res * self.inv[n - k] % self.MOD\n return res\n\n def _make_factorial_list(self, N):\n fact = [1] * (N + 1)\n inv = [1] * (N + 1)\n MOD = self.MOD\n for i in range(1, N + 1):\n fact[i] = (fact[i - 1] * i) % MOD\n inv[N] = pow(fact[N], MOD - 2, MOD)\n for i in range(N, 0, -1):\n inv[i - 1] = (inv[i] * i) % MOD\n return fact, inv\n\n\nif __name__ == \"__main__\":\n H, W, A, B = map(int, input().split())\n mod = 10**9+7\n comb = Combination(2*10**5+10, mod)\n\n ans = 0\n h1 = H - A\n w1 = B + 1\n while True:\n X = comb(h1 + w1 - 2, h1 - 1)\n h2 = H - h1\n w2 = W - w1\n Y = comb(h2 + w2, h2)\n ans += X * Y % mod\n ans %= mod\n\n h1 -= 1\n w1 += 1\n if h1 <= 0 or w1 > W:\n break\n\n print(ans)",
"class Combination:\n \"\"\"\n SIZEが10^6程度以下の二項係数を何回も呼び出したいときに使う\n 使い方:\n comb = Combination(SIZE, MOD)\n comb(10, 3) => 120\n \"\"\"\n\n def __init__(self, N, MOD=10 ** 9 + 7):\n self.MOD = MOD\n self.fact, self.inv = self._make_factorial_list(N)\n\n def __call__(self, n, k):\n if k < 0 or k > n:\n return 0\n res = self.fact[n] * self.inv[k] % self.MOD\n res = res * self.inv[n - k] % self.MOD\n return res\n\n def _make_factorial_list(self, N):\n fact = [1] * (N + 1)\n inv = [1] * (N + 1)\n MOD = self.MOD\n for i in range(1, N + 1):\n fact[i] = (fact[i - 1] * i) % MOD\n inv[N] = pow(fact[N], MOD - 2, MOD)\n for i in range(N, 0, -1):\n inv[i - 1] = (inv[i] * i) % MOD\n return fact, inv",
"Combination",
"\"\"\"\n SIZEが10^6程度以下の二項係数を何回も呼び出したいときに使う\n 使い方:\n comb = Combination(SIZE, MOD)\n comb(10, 3) => 120\n \"\"\"",
"def __init__(self, N, MOD=10 ** 9 + 7):\n self.MOD = MOD\n self.fact, self.inv = self._make_factorial_list(N)\n\n ",
"__init__",
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"10 ** 9",
"10",
"9",
"7",
"def __call__(self, n, k):\n if k < 0 or k > n:\n return 0\n res = self.fact[n] * self.inv[k] % self.MOD\n res = res * self.inv[n - k] % self.MOD\n return res\n\n ",
"__call__",
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"if __name__ == \"__main__\":\n H, W, A, B = map(int, input().split())\n mod = 10**9+7\n comb = Combination(2*10**5+10, mod)\n\n ans = 0\n h1 = H - A\n w1 = B + 1\n while True:\n X = comb(h1 + w1 - 2, h1 - 1)\n h2 = H - h1\n w2 = W - w1\n Y = comb(h2 + w2, h2)\n ans += X * Y % mod\n ans %= mod\n\n h1 -= 1\n w1 += 1\n if h1 <= 0 or w1 > W:\n break\n\n print(ans)",
"__name__ == \"__main__\"",
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"9",
"7",
"comb = Combination(2*10**5+10, mod)",
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"Combination",
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"2*10**5",
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"w1 = B + 1",
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"B",
"1",
"while True:\n X = comb(h1 + w1 - 2, h1 - 1)\n h2 = H - h1\n w2 = W - w1\n Y = comb(h2 + w2, h2)\n ans += X * Y % mod\n ans %= mod\n\n h1 -= 1\n w1 += 1\n if h1 <= 0 or w1 > W:\n break\n\n ",
"True",
"X = comb(h1 + w1 - 2, h1 - 1)",
"X",
"comb(h1 + w1 - 2, h1 - 1)",
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"ans",
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"h1",
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"w1 += 1",
"w1",
"1",
"if h1 <= 0 or w1 > W:\n break\n\n ",
"h1 <= 0 or w1 > W",
"h1 <= 0",
"h1",
"0",
"w1 > W",
"w1",
"W",
"break",
"print(ans)",
"print",
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"w1 = B + 1",
"B + 1",
"w1",
"X = comb(h1 + w1 - 2, h1 - 1)",
"comb(h1 + w1 - 2, h1 - 1)",
"X",
"W, A, B = map(int, input().split())",
"map(int, input().split())",
"W",
"ans %= mod",
"mod",
"ans",
"class Combination:\n \"\"\"\n SIZEが10^6程度以下の二項係数を何回も呼び出したいときに使う\n 使い方:\n comb = Combination(SIZE, MOD)\n comb(10, 3) => 120\n \"\"\"\n\n def __init__(self, N, MOD=10 ** 9 + 7):\n self.MOD = MOD\n self.fact, self.inv = self._make_factorial_list(N)\n\n def __call__(self, n, k):\n if k < 0 or k > n:\n return 0\n res = self.fact[n] * self.inv[k] % self.MOD\n res = res * self.inv[n - k] % self.MOD\n return res\n\n def _make_factorial_list(self, N):\n fact = [1] * (N + 1)\n inv = [1] * (N + 1)\n MOD = self.MOD\n for i in range(1, N + 1):\n fact[i] = (fact[i - 1] * i) % MOD\n inv[N] = pow(fact[N], MOD - 2, MOD)\n for i in range(N, 0, -1):\n inv[i - 1] = (inv[i] * i) % MOD\n return fact, inv",
"class Combination:\n \"\"\"\n SIZEが10^6程度以下の二項係数を何回も呼び出したいときに使う\n 使い方:\n comb = Combination(SIZE, MOD)\n comb(10, 3) => 120\n \"\"\"\n\n def __init__(self, N, MOD=10 ** 9 + 7):\n self.MOD = MOD\n self.fact, self.inv = self._make_factorial_list(N)\n\n def __call__(self, n, k):\n if k < 0 or k > n:\n return 0\n res = self.fact[n] * self.inv[k] % self.MOD\n res = res * self.inv[n - k] % self.MOD\n return res\n\n def _make_factorial_list(self, N):\n fact = [1] * (N + 1)\n inv = [1] * (N + 1)\n MOD = self.MOD\n for i in range(1, N + 1):\n fact[i] = (fact[i - 1] * i) % MOD\n inv[N] = pow(fact[N], MOD - 2, MOD)\n for i in range(N, 0, -1):\n inv[i - 1] = (inv[i] * i) % MOD\n return fact, inv",
"Combination",
"H, W, A, B = map(int, input().split())",
"map(int, input().split())",
"H",
"ans = 0",
"0",
"ans",
"mod = 10**9+7",
"10**9+7",
"mod",
"w2 = W - w1",
"W - w1",
"w2",
"h1 -= 1",
"1",
"h1",
"comb = Combination(2*10**5+10, mod)",
"Combination(2*10**5+10, mod)",
"comb",
"w1 += 1",
"1",
"w1",
"B = map(int, input().split())",
"map(int, input().split())",
"B",
"h1 = H - A",
"H - A",
"h1",
"h2 = H - h1",
"H - h1",
"h2",
"ans += X * Y % mod",
"X * Y % mod",
"ans",
"Y = comb(h2 + w2, h2)",
"comb(h2 + w2, h2)",
"Y",
"A, B = map(int, input().split())",
"map(int, input().split())",
"A"
] | class Combination:
"""
SIZEが10^6程度以下の二項係数を何回も呼び出したいときに使う
使い方:
comb = Combination(SIZE, MOD)
comb(10, 3) => 120
"""
def __init__(self, N, MOD=10 ** 9 + 7):
self.MOD = MOD
self.fact, self.inv = self._make_factorial_list(N)
def __call__(self, n, k):
if k < 0 or k > n:
return 0
res = self.fact[n] * self.inv[k] % self.MOD
res = res * self.inv[n - k] % self.MOD
return res
def _make_factorial_list(self, N):
fact = [1] * (N + 1)
inv = [1] * (N + 1)
MOD = self.MOD
for i in range(1, N + 1):
fact[i] = (fact[i - 1] * i) % MOD
inv[N] = pow(fact[N], MOD - 2, MOD)
for i in range(N, 0, -1):
inv[i - 1] = (inv[i] * i) % MOD
return fact, inv
if __name__ == "__main__":
H, W, A, B = map(int, input().split())
mod = 10**9+7
comb = Combination(2*10**5+10, mod)
ans = 0
h1 = H - A
w1 = B + 1
while True:
X = comb(h1 + w1 - 2, h1 - 1)
h2 = H - h1
w2 = W - w1
Y = comb(h2 + w2, h2)
ans += X * Y % mod
ans %= mod
h1 -= 1
w1 += 1
if h1 <= 0 or w1 > W:
break
print(ans)
|
[
7,
0,
13,
4,
13,
13,
4,
18,
4,
13,
13,
13,
13,
13,
0,
13,
17,
0,
13,
17,
0,
13,
2,
39,
17,
13,
0,
13,
2,
39,
17,
13,
0,
13,
2,
39,
17,
13,
0,
18,
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17,
17,
0,
18,
13,
17,
17,
0,
18,
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17,
17,
0,
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0,
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28,
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4,
13,
17,
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0,
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2,
2,
18,
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2,
13,
17,
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13,
0,
18,
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2,
13,
2,
2,
18,
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2,
13,
13,
2,
13,
13,
13,
0,
18,
13,
13,
2,
2,
18,
13,
2,
13,
17,
18,
13,
13,
13,
0,
13,
17,
28,
13,
4,
13,
13,
13,
0,
13,
2,
2,
2,
2,
2,
18,
13,
2,
2,
2,
13,
13,
17,
13,
2,
2,
18,
13,
2,
2,
13,
13,
17,
18,
13,
13,
13,
13,
18,
13,
2,
2,
2,
13,
13,
13,
17,
2,
2,
18,
13,
2,
13,
17,
18,
13,
2,
2,
13,
17,
13,
13,
13,
0,
13,
2,
13,
13,
4,
13,
13,
10,
4,
13,
10,
4,
13,
10,
4,
13,
10,
2,
13,
10,
2,
13,
10,
17,
13,
10,
17,
13,
10,
2,
13,
10,
4,
13,
10,
17,
13,
10,
2,
13,
10,
2,
13
] | [
[
211,
2
],
[
211,
11
],
[
211,
12
],
[
211,
13
],
[
202,
15
],
[
214,
18
],
[
208,
21
],
[
203,
25
],
[
220,
27
],
[
203,
31
],
[
217,
33
],
[
203,
37
],
[
42,
39
],
[
209,
40
],
[
47,
44
],
[
209,
45
],
[
52,
49
],
[
221,
50
],
[
57,
54
],
[
221,
55
],
[
62,
59
],
[
218,
60
],
[
65,
64
],
[
203,
68
],
[
73,
70
],
[
209,
71
],
[
64,
72
],
[
209,
76
],
[
64,
78
],
[
64,
80
],
[
215,
81
],
[
86,
83
],
[
218,
84
],
[
64,
85
],
[
215,
87
],
[
218,
91
],
[
215,
93
],
[
64,
94
],
[
215,
96
],
[
64,
97
],
[
215,
98
],
[
103,
100
],
[
221,
101
],
[
64,
102
],
[
221,
106
],
[
64,
108
],
[
83,
110
],
[
218,
111
],
[
64,
112
],
[
215,
113
],
[
205,
115
],
[
119,
118
],
[
212,
121
],
[
188,
122
],
[
196,
124
],
[
209,
131
],
[
194,
135
],
[
191,
136
],
[
118,
138
],
[
221,
142
],
[
194,
145
],
[
191,
146
],
[
100,
148
],
[
221,
149
],
[
118,
150
],
[
215,
151
],
[
215,
152
],
[
209,
154
],
[
191,
158
],
[
188,
159
],
[
118,
160
],
[
221,
165
],
[
191,
167
],
[
221,
170
],
[
188,
173
],
[
118,
175
],
[
215,
176
],
[
215,
177
],
[
199,
179
],
[
197,
181
],
[
206,
181
],
[
200,
181
],
[
215,
182
],
[
200,
185
],
[
197,
185
],
[
206,
185
],
[
211,
188
],
[
211,
191
],
[
211,
194
],
[
196,
197
],
[
199,
200
],
[
202,
203
],
[
205,
206
],
[
208,
209
],
[
211,
212
],
[
214,
215
],
[
217,
218
],
[
220,
221
]
] | [
"H, W, A, B = map(int, input().split())\nMAX = 200000\nMOD = 1000000007\nfac = [0]*MAX\nfinv = [0]*MAX\ninv = [0]*MAX\nfac[0] = 1\nfac[1] = 1\nfinv[0] = 1\nfinv[1] = 1\ninv[1] = 1\nfor i in range(2, MAX):\n fac[i] = fac[i-1]*i%MOD\n inv[i] = MOD - inv[MOD%i]*(MOD//i)%MOD\n finv[i] = finv[i-1]*inv[i]%MOD \n# sum_{i=B}^{W-1} C_{H-A-1+i}_{i}C_{A+W-i-2}_{A-1}\nr = 0\nfor i in range(B, W):\n r += fac[H-A-1+i]*(finv[H-A-1]*finv[i]%MOD)%MOD * fac[A+W-i-2]*(finv[A-1]*finv[W-1-i]%MOD)%MOD\n r = r%MOD\nprint(r)",
"H, W, A, B = map(int, input().split())",
"H",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"W",
"A",
"B",
"MAX = 200000",
"MAX",
"200000",
"MOD = 1000000007",
"MOD",
"1000000007",
"fac = [0]*MAX",
"fac",
"[0]*MAX",
"[0]",
"0",
"MAX",
"finv = [0]*MAX",
"finv",
"[0]*MAX",
"[0]",
"0",
"MAX",
"inv = [0]*MAX",
"inv",
"[0]*MAX",
"[0]",
"0",
"MAX",
"fac[0] = 1",
"fac[0]",
"fac",
"0",
"1",
"fac[1] = 1",
"fac[1]",
"fac",
"1",
"1",
"finv[0] = 1",
"finv[0]",
"finv",
"0",
"1",
"finv[1] = 1",
"finv[1]",
"finv",
"1",
"1",
"inv[1] = 1",
"inv[1]",
"inv",
"1",
"1",
"for i in range(2, MAX):\n fac[i] = fac[i-1]*i%MOD\n inv[i] = MOD - inv[MOD%i]*(MOD//i)%MOD\n finv[i] = finv[i-1]*inv[i]%MOD \n# sum_{i=B}^{W-1} C_{H-A-1+i}_{i}C_{A+W-i-2}_{A-1}",
"i",
"range(2, MAX)",
"range",
"2",
"MAX",
"fac[i] = fac[i-1]*i%MOD",
"fac[i]",
"fac",
"i",
"fac[i-1]*i%MOD",
"fac[i-1]*i",
"fac[i-1]",
"fac",
"i-1",
"i",
"1",
"i",
"MOD",
"inv[i] = MOD - inv[MOD%i]*(MOD//i)%MOD",
"inv[i]",
"inv",
"i",
"MOD - inv[MOD%i]*(MOD//i)%MOD",
"MOD",
"inv[MOD%i]*(MOD//i)%MOD",
"inv[MOD%i]*(MOD//i)",
"inv[MOD%i]",
"inv",
"MOD%i",
"MOD",
"i",
"MOD//i",
"MOD",
"i",
"MOD",
"finv[i] = finv[i-1]*inv[i]%MOD",
"finv[i]",
"finv",
"i",
"finv[i-1]*inv[i]%MOD",
"finv[i-1]*inv[i]",
"finv[i-1]",
"finv",
"i-1",
"i",
"1",
"inv[i]",
"inv",
"i",
"MOD",
"r = 0",
"r",
"0",
"for i in range(B, W):\n r += fac[H-A-1+i]*(finv[H-A-1]*finv[i]%MOD)%MOD * fac[A+W-i-2]*(finv[A-1]*finv[W-1-i]%MOD)%MOD\n r = r%MOD",
"i",
"range(B, W)",
"range",
"B",
"W",
"r += fac[H-A-1+i]*(finv[H-A-1]*finv[i]%MOD)%MOD * fac[A+W-i-2]*(finv[A-1]*finv[W-1-i]%MOD)%MOD",
"r",
"fac[H-A-1+i]*(finv[H-A-1]*finv[i]%MOD)%MOD * fac[A+W-i-2]*(finv[A-1]*finv[W-1-i]%MOD)%MOD",
"fac[H-A-1+i]*(finv[H-A-1]*finv[i]%MOD)%MOD * fac[A+W-i-2]*(finv[A-1]*finv[W-1-i]%MOD)",
"fac[H-A-1+i]*(finv[H-A-1]*finv[i]%MOD)%MOD * fac[A+W-i-2]",
"fac[H-A-1+i]*(finv[H-A-1]*finv[i]%MOD)%MOD",
"fac[H-A-1+i]*(finv[H-A-1]*finv[i]%MOD)",
"fac[H-A-1+i]",
"fac",
"H-A-1+i",
"H-A-1",
"H-A",
"H",
"A",
"1",
"i",
"finv[H-A-1]*finv[i]%MOD",
"finv[H-A-1]*finv[i]",
"finv[H-A-1]",
"finv",
"H-A-1",
"H-A",
"H",
"A",
"1",
"finv[i]",
"finv",
"i",
"MOD",
"MOD",
"fac[A+W-i-2]",
"fac",
"A+W-i-2",
"A+W-i",
"A+W",
"A",
"W",
"i",
"2",
"finv[A-1]*finv[W-1-i]%MOD",
"finv[A-1]*finv[W-1-i]",
"finv[A-1]",
"finv",
"A-1",
"A",
"1",
"finv[W-1-i]",
"finv",
"W-1-i",
"W-1",
"W",
"1",
"i",
"MOD",
"MOD",
"r = r%MOD",
"r",
"r%MOD",
"r",
"MOD",
"print(r)",
"print",
"r",
"W, A, B = map(int, input().split())",
"map(int, input().split())",
"W",
"A, B = map(int, input().split())",
"map(int, input().split())",
"A",
"H, W, A, B = map(int, input().split())",
"map(int, input().split())",
"H",
"r += fac[H-A-1+i]*(finv[H-A-1]*finv[i]%MOD)%MOD * fac[A+W-i-2]*(finv[A-1]*finv[W-1-i]%MOD)%MOD",
"fac[H-A-1+i]*(finv[H-A-1]*finv[i]%MOD)%MOD * fac[A+W-i-2]*(finv[A-1]*finv[W-1-i]%MOD)%MOD",
"r",
"r = r%MOD",
"r%MOD",
"r",
"MAX = 200000",
"200000",
"MAX",
"r = 0",
"0",
"r",
"fac = [0]*MAX",
"[0]*MAX",
"fac",
"B = map(int, input().split())",
"map(int, input().split())",
"B",
"MOD = 1000000007",
"1000000007",
"MOD",
"inv = [0]*MAX",
"[0]*MAX",
"inv",
"finv = [0]*MAX",
"[0]*MAX",
"finv"
] | H, W, A, B = map(int, input().split())
MAX = 200000
MOD = 1000000007
fac = [0]*MAX
finv = [0]*MAX
inv = [0]*MAX
fac[0] = 1
fac[1] = 1
finv[0] = 1
finv[1] = 1
inv[1] = 1
for i in range(2, MAX):
fac[i] = fac[i-1]*i%MOD
inv[i] = MOD - inv[MOD%i]*(MOD//i)%MOD
finv[i] = finv[i-1]*inv[i]%MOD
# sum_{i=B}^{W-1} C_{H-A-1+i}_{i}C_{A+W-i-2}_{A-1}
r = 0
for i in range(B, W):
r += fac[H-A-1+i]*(finv[H-A-1]*finv[i]%MOD)%MOD * fac[A+W-i-2]*(finv[A-1]*finv[W-1-i]%MOD)%MOD
r = r%MOD
print(r)
|
[
7,
0,
13,
2,
2,
17,
17,
17,
12,
13,
0,
13,
17,
42,
2,
13,
17,
14,
2,
13,
17,
0,
13,
2,
2,
13,
13,
13,
0,
13,
2,
2,
13,
17,
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0,
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17,
29,
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23,
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23,
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23,
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12,
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29,
2,
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23,
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23,
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39,
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13,
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10,
12,
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10,
4,
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4,
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10,
4,
13,
10,
2,
13,
10,
12,
13,
10,
12,
13,
10,
4,
13
] | [
[
252,
2
],
[
12,
11
],
[
43,
15
],
[
36,
15
],
[
43,
19
],
[
36,
19
],
[
23,
22
],
[
11,
25
],
[
22,
25
],
[
41,
26
],
[
29,
26
],
[
45,
27
],
[
30,
29
],
[
41,
32
],
[
29,
32
],
[
45,
34
],
[
37,
36
],
[
22,
39
],
[
11,
39
],
[
41,
41
],
[
43,
43
],
[
45,
45
],
[
55,
51
],
[
57,
52
],
[
59,
53
],
[
55,
55
],
[
57,
57
],
[
59,
59
],
[
64,
63
],
[
207,
69
],
[
209,
70
],
[
76,
73
],
[
63,
74
],
[
79,
78
],
[
207,
84
],
[
209,
85
],
[
91,
88
],
[
78,
89
],
[
94,
93
],
[
207,
98
],
[
209,
99
],
[
104,
101
],
[
63,
102
],
[
93,
103
],
[
63,
107
],
[
93,
109
],
[
93,
111
],
[
253,
112
],
[
117,
114
],
[
78,
115
],
[
93,
116
],
[
256,
118
],
[
101,
119
],
[
63,
120
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[
93,
121
],
[
253,
123
],
[
253,
125
],
[
128,
127
],
[
131,
130
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[
213,
133
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[
209,
134
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[
137,
136
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[
241,
138
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[
241,
140
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[
63,
142
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[
207,
146
],
[
211,
147
],
[
130,
149
],
[
78,
151
],
[
207,
154
],
[
211,
155
],
[
253,
157
],
[
78,
159
],
[
130,
160
],
[
253,
161
],
[
164,
163
],
[
241,
165
],
[
241,
167
],
[
63,
169
],
[
211,
172
],
[
209,
176
],
[
130,
177
],
[
78,
180
],
[
209,
183
],
[
130,
184
],
[
253,
186
],
[
78,
188
],
[
211,
190
],
[
253,
192
],
[
195,
194
],
[
127,
197
],
[
194,
197
],
[
241,
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],
[
136,
200
],
[
163,
201
],
[
253,
202
],
[
253,
203
],
[
194,
205
],
[
127,
205
],
[
207,
207
],
[
209,
209
],
[
211,
211
],
[
213,
213
],
[
261,
219
],
[
261,
228
],
[
261,
229
],
[
261,
230
],
[
259,
234
],
[
247,
235
],
[
250,
236
],
[
244,
237
],
[
262,
238
],
[
261,
244
],
[
261,
247
],
[
261,
250
],
[
252,
253
],
[
261,
262
]
] | [
"MOD = 10**9+7\n\ndef modpow(base, pow, mod):\n res = 1\n while pow > 0:\n if pow & 1:\n res = res * base % mod\n base = base**2 % mod\n pow >>= 1\n return res\n\ndef modmul(a, b, mod):\n return a*b % mod\n\ndef solve(h,w,a,b):\n fact = [0]*(h+w+1)\n fact[0] = 1\n fact_inv = [0]*(h+w+1)\n fact_inv[0] = 1\n for i in range(1, h+w):\n fact[i] = fact[i-1]*i % MOD\n fact_inv[i] = modpow(fact[i], MOD-2, MOD)\n\n ans = 0\n for col_idx in range(b, w):\n before_checkpoint = modmul(modmul(fact[h-a-1+col_idx], fact_inv[h-a-1], MOD), fact_inv[col_idx], MOD)\n from_checkpoint = modmul(modmul(fact[(a-1) + (w-col_idx-1)], fact_inv[w-col_idx-1], MOD), fact_inv[a-1], MOD)\n ans = (ans + modmul(before_checkpoint, from_checkpoint, MOD)) % MOD\n\n return ans\n\nif __name__ == \"__main__\":\n h,w,a,b = map(int, input().split())\n print(solve(h,w,a,b))",
"MOD = 10**9+7",
"MOD",
"10**9+7",
"10**9",
"10",
"9",
"7",
"def modpow(base, pow, mod):\n res = 1\n while pow > 0:\n if pow & 1:\n res = res * base % mod\n base = base**2 % mod\n pow >>= 1\n return res",
"modpow",
"res = 1",
"res",
"1",
"while pow > 0:\n if pow & 1:\n res = res * base % mod\n base = base**2 % mod\n pow >>= 1\n ",
"pow > 0",
"pow",
"0",
"if pow & 1:\n res = res * base % mod\n ",
"pow & 1",
"pow",
"1",
"res = res * base % mod",
"res",
"res * base % mod",
"res * base",
"res",
"base",
"mod",
"base = base**2 % mod",
"base",
"base**2 % mod",
"base**2",
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"pow >>= 1",
"pow",
"1",
"return res",
"res",
"base",
"base",
"pow",
"pow",
"mod",
"mod",
"def modmul(a, b, mod):\n return a*b % mod",
"modmul",
"return a*b % mod",
"a*b % mod",
"a*b",
"a",
"b",
"mod",
"a",
"a",
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"b",
"mod",
"mod",
"def solve(h,w,a,b):\n fact = [0]*(h+w+1)\n fact[0] = 1\n fact_inv = [0]*(h+w+1)\n fact_inv[0] = 1\n for i in range(1, h+w):\n fact[i] = fact[i-1]*i % MOD\n fact_inv[i] = modpow(fact[i], MOD-2, MOD)\n\n ans = 0\n for col_idx in range(b, w):\n before_checkpoint = modmul(modmul(fact[h-a-1+col_idx], fact_inv[h-a-1], MOD), fact_inv[col_idx], MOD)\n from_checkpoint = modmul(modmul(fact[(a-1) + (w-col_idx-1)], fact_inv[w-col_idx-1], MOD), fact_inv[a-1], MOD)\n ans = (ans + modmul(before_checkpoint, from_checkpoint, MOD)) % MOD\n\n return ans",
"solve",
"fact = [0]*(h+w+1)",
"fact",
"[0]*(h+w+1)",
"[0]",
"0",
"h+w+1",
"h+w",
"h",
"w",
"1",
"fact[0] = 1",
"fact[0]",
"fact",
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"1",
"fact_inv = [0]*(h+w+1)",
"fact_inv",
"[0]*(h+w+1)",
"[0]",
"0",
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"h+w",
"h",
"w",
"1",
"fact_inv[0] = 1",
"fact_inv[0]",
"fact_inv",
"0",
"1",
"for i in range(1, h+w):\n fact[i] = fact[i-1]*i % MOD\n fact_inv[i] = modpow(fact[i], MOD-2, MOD)\n\n ",
"i",
"range(1, h+w)",
"range",
"1",
"h+w",
"h",
"w",
"fact[i] = fact[i-1]*i % MOD",
"fact[i]",
"fact",
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"fact[i-1]*i % MOD",
"fact[i-1]*i",
"fact[i-1]",
"fact",
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"MOD",
"fact_inv[i] = modpow(fact[i], MOD-2, MOD)",
"fact_inv[i]",
"fact_inv",
"i",
"modpow(fact[i], MOD-2, MOD)",
"modpow",
"fact[i]",
"fact",
"i",
"MOD-2",
"MOD",
"2",
"MOD",
"ans = 0",
"ans",
"0",
"for col_idx in range(b, w):\n before_checkpoint = modmul(modmul(fact[h-a-1+col_idx], fact_inv[h-a-1], MOD), fact_inv[col_idx], MOD)\n from_checkpoint = modmul(modmul(fact[(a-1) + (w-col_idx-1)], fact_inv[w-col_idx-1], MOD), fact_inv[a-1], MOD)\n ans = (ans + modmul(before_checkpoint, from_checkpoint, MOD)) % MOD\n\n ",
"col_idx",
"range(b, w)",
"range",
"b",
"w",
"before_checkpoint = modmul(modmul(fact[h-a-1+col_idx], fact_inv[h-a-1], MOD), fact_inv[col_idx], MOD)",
"before_checkpoint",
"modmul(modmul(fact[h-a-1+col_idx], fact_inv[h-a-1], MOD), fact_inv[col_idx], MOD)",
"modmul",
"modmul(fact[h-a-1+col_idx], fact_inv[h-a-1], MOD)",
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"MOD",
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"from_checkpoint = modmul(modmul(fact[(a-1) + (w-col_idx-1)], fact_inv[w-col_idx-1], MOD), fact_inv[a-1], MOD)",
"from_checkpoint",
"modmul(modmul(fact[(a-1) + (w-col_idx-1)], fact_inv[w-col_idx-1], MOD), fact_inv[a-1], MOD)",
"modmul",
"modmul(fact[(a-1) + (w-col_idx-1)], fact_inv[w-col_idx-1], MOD)",
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"fact",
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"w-col_idx",
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"MOD",
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"MOD",
"ans = (ans + modmul(before_checkpoint, from_checkpoint, MOD)) % MOD",
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"(ans + modmul(before_checkpoint, from_checkpoint, MOD)) % MOD",
"ans + modmul(before_checkpoint, from_checkpoint, MOD)",
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"from_checkpoint",
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"MOD",
"return ans",
"ans",
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"h",
"w",
"w",
"a",
"a",
"b",
"b",
"if __name__ == \"__main__\":\n h,w,a,b = map(int, input().split())\n print(solve(h,w,a,b))",
"__name__ == \"__main__\"",
"__name__",
"\"__main__\"",
"h,w,a,b = map(int, input().split())",
"h",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"w",
"a",
"b",
"print(solve(h,w,a,b))",
"print",
"solve(h,w,a,b)",
"solve",
"h",
"w",
"a",
"b",
"def modmul(a, b, mod):\n return a*b % mod",
"def modmul(a, b, mod):\n return a*b % mod",
"modmul",
"a,b = map(int, input().split())",
"map(int, input().split())",
"a",
"h,w,a,b = map(int, input().split())",
"map(int, input().split())",
"h",
"w,a,b = map(int, input().split())",
"map(int, input().split())",
"w",
"MOD = 10**9+7",
"10**9+7",
"MOD",
"def modpow(base, pow, mod):\n res = 1\n while pow > 0:\n if pow & 1:\n res = res * base % mod\n base = base**2 % mod\n pow >>= 1\n return res",
"def modpow(base, pow, mod):\n res = 1\n while pow > 0:\n if pow & 1:\n res = res * base % mod\n base = base**2 % mod\n pow >>= 1\n return res",
"modpow",
"def solve(h,w,a,b):\n fact = [0]*(h+w+1)\n fact[0] = 1\n fact_inv = [0]*(h+w+1)\n fact_inv[0] = 1\n for i in range(1, h+w):\n fact[i] = fact[i-1]*i % MOD\n fact_inv[i] = modpow(fact[i], MOD-2, MOD)\n\n ans = 0\n for col_idx in range(b, w):\n before_checkpoint = modmul(modmul(fact[h-a-1+col_idx], fact_inv[h-a-1], MOD), fact_inv[col_idx], MOD)\n from_checkpoint = modmul(modmul(fact[(a-1) + (w-col_idx-1)], fact_inv[w-col_idx-1], MOD), fact_inv[a-1], MOD)\n ans = (ans + modmul(before_checkpoint, from_checkpoint, MOD)) % MOD\n\n return ans",
"def solve(h,w,a,b):\n fact = [0]*(h+w+1)\n fact[0] = 1\n fact_inv = [0]*(h+w+1)\n fact_inv[0] = 1\n for i in range(1, h+w):\n fact[i] = fact[i-1]*i % MOD\n fact_inv[i] = modpow(fact[i], MOD-2, MOD)\n\n ans = 0\n for col_idx in range(b, w):\n before_checkpoint = modmul(modmul(fact[h-a-1+col_idx], fact_inv[h-a-1], MOD), fact_inv[col_idx], MOD)\n from_checkpoint = modmul(modmul(fact[(a-1) + (w-col_idx-1)], fact_inv[w-col_idx-1], MOD), fact_inv[a-1], MOD)\n ans = (ans + modmul(before_checkpoint, from_checkpoint, MOD)) % MOD\n\n return ans",
"solve",
"b = map(int, input().split())",
"map(int, input().split())",
"b"
] | MOD = 10**9+7
def modpow(base, pow, mod):
res = 1
while pow > 0:
if pow & 1:
res = res * base % mod
base = base**2 % mod
pow >>= 1
return res
def modmul(a, b, mod):
return a*b % mod
def solve(h,w,a,b):
fact = [0]*(h+w+1)
fact[0] = 1
fact_inv = [0]*(h+w+1)
fact_inv[0] = 1
for i in range(1, h+w):
fact[i] = fact[i-1]*i % MOD
fact_inv[i] = modpow(fact[i], MOD-2, MOD)
ans = 0
for col_idx in range(b, w):
before_checkpoint = modmul(modmul(fact[h-a-1+col_idx], fact_inv[h-a-1], MOD), fact_inv[col_idx], MOD)
from_checkpoint = modmul(modmul(fact[(a-1) + (w-col_idx-1)], fact_inv[w-col_idx-1], MOD), fact_inv[a-1], MOD)
ans = (ans + modmul(before_checkpoint, from_checkpoint, MOD)) % MOD
return ans
if __name__ == "__main__":
h,w,a,b = map(int, input().split())
print(solve(h,w,a,b))
|
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7,
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13,
0,
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2,
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17,
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10,
12,
13,
10,
2,
13,
10,
4,
13
] | [
[
170,
4
],
[
185,
11
],
[
185,
20
],
[
185,
21
],
[
185,
22
],
[
182,
24
],
[
177,
26
],
[
168,
27
],
[
173,
29
],
[
183,
33
],
[
161,
34
],
[
183,
38
],
[
41,
40
],
[
183,
44
],
[
49,
46
],
[
174,
47
],
[
40,
48
],
[
40,
51
],
[
174,
53
],
[
40,
55
],
[
171,
57
],
[
64,
59
],
[
162,
60
],
[
183,
62
],
[
174,
67
],
[
183,
69
],
[
171,
72
],
[
171,
74
],
[
77,
76
],
[
183,
80
],
[
90,
85
],
[
162,
86
],
[
76,
88
],
[
162,
93
],
[
76,
94
],
[
76,
95
],
[
171,
96
],
[
179,
98
],
[
174,
104
],
[
162,
109
],
[
162,
112
],
[
171,
114
],
[
164,
118
],
[
122,
121
],
[
186,
124
],
[
168,
125
],
[
158,
127
],
[
180,
131
],
[
121,
132
],
[
177,
135
],
[
156,
136
],
[
180,
139
],
[
168,
142
],
[
121,
144
],
[
156,
146
],
[
171,
148
],
[
159,
152
],
[
165,
152
],
[
171,
153
],
[
185,
156
],
[
158,
159
],
[
161,
162
],
[
164,
165
],
[
185,
168
],
[
170,
171
],
[
173,
174
],
[
185,
177
],
[
179,
180
],
[
182,
183
],
[
185,
186
]
] | [
"import math\nMOD = 10 ** 9 + 7\nH, W, A, B = map(int, input().split())\nmaxf = H + W\n\nf, invf = [1] * maxf, [1] * maxf\n\nfor i in range(1, maxf):\n f[i] = i * f[i - 1] % MOD\ninvf[maxf - 1] = pow(f[maxf - 1], MOD - 2, MOD)\nfor i in range(maxf - 1, 0, -1):\n invf[i - 1] = invf[i] * i % MOD\n\ncomb = lambda a, b: f[a + b] * invf[a] * invf[b] % MOD\n\nans = 0\nfor x in range(B, W):\n ans += comb(x, H - A - 1) * comb(W - 1 - x, A - 1) % MOD\nprint(ans % MOD)",
"import math",
"math",
"MOD = 10 ** 9 + 7",
"MOD",
"10 ** 9 + 7",
"10 ** 9",
"10",
"9",
"7",
"H, W, A, B = map(int, input().split())",
"H",
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"map",
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"input().split()",
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"split",
"W",
"A",
"B",
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"maxf",
"H + W",
"H",
"W",
"f, invf = [1] * maxf, [1] * maxf",
"f",
"[1] * maxf",
"[1]",
"1",
"maxf",
"invf",
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"[1]",
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"invf[maxf - 1] = pow(f[maxf - 1], MOD - 2, MOD)",
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"MOD - 2",
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"2",
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"-1",
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"1",
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"invf[i]",
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"i",
"MOD",
"comb = lambda a, b: f[a + b] * invf[a] * invf[b] % MOD",
"comb",
"lambda a, b: f[a + b] * invf[a] * invf[b] % MOD",
"f[a + b] * invf[a] * invf[b] % MOD",
"f[a + b] * invf[a] * invf[b]",
"f[a + b] * invf[a]",
"f[a + b]",
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"invf[b]",
"invf",
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"b",
"ans = 0",
"ans",
"0",
"for x in range(B, W):\n ans += comb(x, H - A - 1) * comb(W - 1 - x, A - 1) % MOD",
"x",
"range(B, W)",
"range",
"B",
"W",
"ans += comb(x, H - A - 1) * comb(W - 1 - x, A - 1) % MOD",
"ans",
"comb(x, H - A - 1) * comb(W - 1 - x, A - 1) % MOD",
"comb(x, H - A - 1) * comb(W - 1 - x, A - 1)",
"comb(x, H - A - 1)",
"comb",
"x",
"H - A - 1",
"H - A",
"H",
"A",
"1",
"comb(W - 1 - x, A - 1)",
"comb",
"W - 1 - x",
"W - 1",
"W",
"1",
"x",
"A - 1",
"A",
"1",
"MOD",
"print(ans % MOD)",
"print",
"ans % MOD",
"ans",
"MOD",
"A, B = map(int, input().split())",
"map(int, input().split())",
"A",
"ans += comb(x, H - A - 1) * comb(W - 1 - x, A - 1) % MOD",
"comb(x, H - A - 1) * comb(W - 1 - x, A - 1) % MOD",
"ans",
"invf = [1] * maxf, [1] * maxf",
"[1] * maxf",
"invf",
"ans = 0",
"0",
"ans",
"W, A, B = map(int, input().split())",
"map(int, input().split())",
"W",
"MOD = 10 ** 9 + 7",
"10 ** 9 + 7",
"MOD",
"f, invf = [1] * maxf, [1] * maxf",
"[1] * maxf",
"f",
"H, W, A, B = map(int, input().split())",
"map(int, input().split())",
"H",
"comb = lambda a, b: f[a + b] * invf[a] * invf[b] % MOD",
"lambda a, b: f[a + b] * invf[a] * invf[b] % MOD",
"comb",
"maxf = H + W",
"H + W",
"maxf",
"B = map(int, input().split())",
"map(int, input().split())",
"B"
] | import math
MOD = 10 ** 9 + 7
H, W, A, B = map(int, input().split())
maxf = H + W
f, invf = [1] * maxf, [1] * maxf
for i in range(1, maxf):
f[i] = i * f[i - 1] % MOD
invf[maxf - 1] = pow(f[maxf - 1], MOD - 2, MOD)
for i in range(maxf - 1, 0, -1):
invf[i - 1] = invf[i] * i % MOD
comb = lambda a, b: f[a + b] * invf[a] * invf[b] % MOD
ans = 0
for x in range(B, W):
ans += comb(x, H - A - 1) * comb(W - 1 - x, A - 1) % MOD
print(ans % MOD) |
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[
9,
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96,
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100,
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14,
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96,
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21,
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98,
25
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29,
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20,
29
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32,
31
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100,
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11,
35
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96,
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31,
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28,
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17,
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41
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17,
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52,
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98,
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63,
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96,
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96,
96
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98,
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100,
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128,
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128,
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132,
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128,
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130,
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132,
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128,
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128,
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130,
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132,
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154,
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156,
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154,
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156,
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154,
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154,
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156,
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158,
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168,
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170,
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168,
168
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170,
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313,
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313,
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313,
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313,
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292,
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301,
192
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293,
200
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314,
204
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311,
205
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299,
207
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284,
208
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307,
210
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314,
212
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311,
213
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316,
215
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299,
217
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284,
218
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277,
220
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224,
223
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[
317,
226
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[
308,
226
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[
286,
228
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[
314,
231
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[
311,
232
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[
223,
233
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[
295,
235
],
[
284,
238
],
[
223,
239
],
[
289,
242
],
[
302,
246
],
[
102,
247
],
[
287,
250
],
[
296,
251
],
[
287,
254
],
[
302,
258
],
[
102,
259
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[
314,
263
],
[
299,
264
],
[
287,
265
],
[
296,
266
],
[
314,
268
],
[
287,
269
],
[
280,
271
],
[
293,
272
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[
281,
275
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[
290,
275
],
[
278,
275
],
[
277,
278
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293,
280
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[
280,
281
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313,
284
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[
286,
287
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[
289,
290
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[
292,
293
],
[
295,
296
],
[
313,
299
],
[
301,
302
],
[
307,
308
],
[
313,
311
],
[
313,
314
],
[
316,
317
]
] | [
"class Factorials:\n # nに十分大きい数を入力\n def __init__(self, n, mod):\n self.mod = mod\n\n # self.fac[i] ≡ i! (factorial:階乗)\n self.fac = [1]\n num = 1\n for i in range(1, n+1):\n num *= i\n num %= mod\n self.fac.append(num)\n\n # self.rec[i] ≡ 1 / i! (reciprocal:逆数)\n num = pow(num, mod-2, mod)\n self.rec = [1 for i in range(n+1)]\n self.rec[n] = num\n for i in range(n-1, 0, -1):\n num *= i + 1\n num %= mod\n self.rec[i] = num\n\n # comb(n, r) ≡ nCr\n def comb(self, n, r):\n return self.fac[n] * self.rec[r] * self.rec[n - r] % self.mod\n \n # perm(n, r) ≡ nPr\n def perm(self, n, r):\n return self.fac[n] * self.rec[n-r] % self.mod\n\n # fact(n) ≡ n!\n def fact(self, n):\n return self.fac[n]\n\nh, w, a, b = map(int, input().split())\nmod = 10**9 + 7\n\nf = Factorials(2 * (10 ** 5), mod)\nif h - a < w - b:\n num = h - a\nelse:\n num = w - b\n\nans = 0\nfor i in range(num):\n x = h - a - i\n y = b + i + 1\n\n ans += f.comb(x + y - 2, x - 1) * f.comb(h + w - x - y, h - x)\n ans %= mod\n\nprint(ans)",
"class Factorials:\n # nに十分大きい数を入力\n def __init__(self, n, mod):\n self.mod = mod\n\n # self.fac[i] ≡ i! (factorial:階乗)\n self.fac = [1]\n num = 1\n for i in range(1, n+1):\n num *= i\n num %= mod\n self.fac.append(num)\n\n # self.rec[i] ≡ 1 / i! (reciprocal:逆数)\n num = pow(num, mod-2, mod)\n self.rec = [1 for i in range(n+1)]\n self.rec[n] = num\n for i in range(n-1, 0, -1):\n num *= i + 1\n num %= mod\n self.rec[i] = num\n\n # comb(n, r) ≡ nCr\n def comb(self, n, r):\n return self.fac[n] * self.rec[r] * self.rec[n - r] % self.mod\n \n # perm(n, r) ≡ nPr\n def perm(self, n, r):\n return self.fac[n] * self.rec[n-r] % self.mod\n\n # fact(n) ≡ n!\n def fact(self, n):\n return self.fac[n]",
"Factorials",
"def __init__(self, n, mod):\n self.mod = mod\n\n # self.fac[i] ≡ i! (factorial:階乗)\n self.fac = [1]\n num = 1\n for i in range(1, n+1):\n num *= i\n num %= mod\n self.fac.append(num)\n\n # self.rec[i] ≡ 1 / i! (reciprocal:逆数)\n num = pow(num, mod-2, mod)\n self.rec = [1 for i in range(n+1)]\n self.rec[n] = num\n for i in range(n-1, 0, -1):\n num *= i + 1\n num %= mod\n self.rec[i] = num\n\n # comb(n, r) ≡ nCr\n ",
"__init__",
"self.mod = mod",
"self.mod",
"self",
"mod",
"mod",
"self.fac = [1]",
"self.fac",
"self",
"fac",
"[1]",
"1",
"num = 1",
"num",
"1",
"for i in range(1, n+1):\n num *= i\n num %= mod\n self.fac.append(num)\n\n # self.rec[i] ≡ 1 / i! (reciprocal:逆数)\n ",
"i",
"range(1, n+1)",
"range",
"1",
"n+1",
"n",
"1",
"num *= i",
"num",
"i",
"num %= mod",
"num",
"mod",
"self.fac.append(num)",
"self.fac.append",
"self.fac",
"self",
"fac",
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"num",
"num = pow(num, mod-2, mod)",
"num",
"pow(num, mod-2, mod)",
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"mod",
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"1 for i in range(n+1)",
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"1",
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"self.rec",
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"rec",
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"self.rec[n] = num",
"self.rec[n]",
"self.rec",
"self",
"rec",
"n",
"num",
"for i in range(n-1, 0, -1):\n num *= i + 1\n num %= mod\n self.rec[i] = num\n\n # comb(n, r) ≡ nCr\n ",
"i",
"range(n-1, 0, -1)",
"range",
"n-1",
"n",
"1",
"0",
"-1",
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"rec",
"i",
"num",
"self",
"self",
"n",
"n",
"mod",
"mod",
"def comb(self, n, r):\n return self.fac[n] * self.rec[r] * self.rec[n - r] % self.mod\n \n # perm(n, r) ≡ nPr\n ",
"comb",
"return self.fac[n] * self.rec[r] * self.rec[n - r] % self.mod",
"self.fac[n] * self.rec[r] * self.rec[n - r] % self.mod",
"self.fac[n] * self.rec[r] * self.rec[n - r]",
"self.fac[n] * self.rec[r]",
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"self.fac",
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"n",
"n",
"r",
"r",
"def perm(self, n, r):\n return self.fac[n] * self.rec[n-r] % self.mod\n\n # fact(n) ≡ n!\n ",
"perm",
"return self.fac[n] * self.rec[n-r] % self.mod",
"self.fac[n] * self.rec[n-r] % self.mod",
"self.fac[n] * self.rec[n-r]",
"self.fac[n]",
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"r",
"def fact(self, n):\n return self.fac[n]",
"fact",
"return self.fac[n]",
"self.fac[n]",
"self.fac",
"self",
"fac",
"n",
"self",
"self",
"n",
"n",
"h, w, a, b = map(int, input().split())",
"h",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"w",
"a",
"b",
"mod = 10**9 + 7",
"mod",
"10**9 + 7",
"10**9",
"10",
"9",
"7",
"f = Factorials(2 * (10 ** 5), mod)",
"f",
"Factorials(2 * (10 ** 5), mod)",
"Factorials",
"2 * (10 ** 5)",
"2",
"10 ** 5",
"10",
"5",
"mod",
"if h - a < w - b:\n num = h - a\nelse:\n num = w - b",
"h - a < w - b",
"h - a",
"h",
"a",
"w - b",
"w",
"b",
"num = h - a",
"num",
"h - a",
"h",
"a",
"num = w - b",
"num",
"w - b",
"w",
"b",
"ans = 0",
"ans",
"0",
"for i in range(num):\n x = h - a - i\n y = b + i + 1\n\n ans += f.comb(x + y - 2, x - 1) * f.comb(h + w - x - y, h - x)\n ans %= mod",
"i",
"range(num)",
"range",
"num",
"x = h - a - i",
"x",
"h - a - i",
"h - a",
"h",
"a",
"i",
"y = b + i + 1",
"y",
"b + i + 1",
"b + i",
"b",
"i",
"1",
"ans += f.comb(x + y - 2, x - 1) * f.comb(h + w - x - y, h - x)",
"ans",
"f.comb(x + y - 2, x - 1) * f.comb(h + w - x - y, h - x)",
"f.comb(x + y - 2, x - 1)",
"f.comb",
"f",
"comb",
"x + y - 2",
"x + y",
"x",
"y",
"2",
"x - 1",
"x",
"1",
"f.comb(h + w - x - y, h - x)",
"f.comb",
"f",
"comb",
"h + w - x - y",
"h + w - x",
"h + w",
"h",
"w",
"x",
"y",
"h - x",
"h",
"x",
"ans %= mod",
"ans",
"mod",
"print(ans)",
"print",
"ans",
"ans = 0",
"0",
"ans",
"ans %= mod",
"mod",
"ans",
"b = map(int, input().split())",
"map(int, input().split())",
"b",
"x = h - a - i",
"h - a - i",
"x",
"ans += f.comb(x + y - 2, x - 1) * f.comb(h + w - x - y, h - x)",
"f.comb(x + y - 2, x - 1) * f.comb(h + w - x - y, h - x)",
"ans",
"mod = 10**9 + 7",
"10**9 + 7",
"mod",
"y = b + i + 1",
"b + i + 1",
"y",
"w, a, b = map(int, input().split())",
"map(int, input().split())",
"w",
"f = Factorials(2 * (10 ** 5), mod)",
"Factorials(2 * (10 ** 5), mod)",
"f",
"class Factorials:\n # nに十分大きい数を入力\n def __init__(self, n, mod):\n self.mod = mod\n\n # self.fac[i] ≡ i! (factorial:階乗)\n self.fac = [1]\n num = 1\n for i in range(1, n+1):\n num *= i\n num %= mod\n self.fac.append(num)\n\n # self.rec[i] ≡ 1 / i! (reciprocal:逆数)\n num = pow(num, mod-2, mod)\n self.rec = [1 for i in range(n+1)]\n self.rec[n] = num\n for i in range(n-1, 0, -1):\n num *= i + 1\n num %= mod\n self.rec[i] = num\n\n # comb(n, r) ≡ nCr\n def comb(self, n, r):\n return self.fac[n] * self.rec[r] * self.rec[n - r] % self.mod\n \n # perm(n, r) ≡ nPr\n def perm(self, n, r):\n return self.fac[n] * self.rec[n-r] % self.mod\n\n # fact(n) ≡ n!\n def fact(self, n):\n return self.fac[n]",
"class Factorials:\n # nに十分大きい数を入力\n def __init__(self, n, mod):\n self.mod = mod\n\n # self.fac[i] ≡ i! (factorial:階乗)\n self.fac = [1]\n num = 1\n for i in range(1, n+1):\n num *= i\n num %= mod\n self.fac.append(num)\n\n # self.rec[i] ≡ 1 / i! (reciprocal:逆数)\n num = pow(num, mod-2, mod)\n self.rec = [1 for i in range(n+1)]\n self.rec[n] = num\n for i in range(n-1, 0, -1):\n num *= i + 1\n num %= mod\n self.rec[i] = num\n\n # comb(n, r) ≡ nCr\n def comb(self, n, r):\n return self.fac[n] * self.rec[r] * self.rec[n - r] % self.mod\n \n # perm(n, r) ≡ nPr\n def perm(self, n, r):\n return self.fac[n] * self.rec[n-r] % self.mod\n\n # fact(n) ≡ n!\n def fact(self, n):\n return self.fac[n]",
"Factorials",
"num = h - a",
"h - a",
"num",
"a, b = map(int, input().split())",
"map(int, input().split())",
"a",
"h, w, a, b = map(int, input().split())",
"map(int, input().split())",
"h",
"num = w - b",
"w - b",
"num"
] | class Factorials:
# nに十分大きい数を入力
def __init__(self, n, mod):
self.mod = mod
# self.fac[i] ≡ i! (factorial:階乗)
self.fac = [1]
num = 1
for i in range(1, n+1):
num *= i
num %= mod
self.fac.append(num)
# self.rec[i] ≡ 1 / i! (reciprocal:逆数)
num = pow(num, mod-2, mod)
self.rec = [1 for i in range(n+1)]
self.rec[n] = num
for i in range(n-1, 0, -1):
num *= i + 1
num %= mod
self.rec[i] = num
# comb(n, r) ≡ nCr
def comb(self, n, r):
return self.fac[n] * self.rec[r] * self.rec[n - r] % self.mod
# perm(n, r) ≡ nPr
def perm(self, n, r):
return self.fac[n] * self.rec[n-r] % self.mod
# fact(n) ≡ n!
def fact(self, n):
return self.fac[n]
h, w, a, b = map(int, input().split())
mod = 10**9 + 7
f = Factorials(2 * (10 ** 5), mod)
if h - a < w - b:
num = h - a
else:
num = w - b
ans = 0
for i in range(num):
x = h - a - i
y = b + i + 1
ans += f.comb(x + y - 2, x - 1) * f.comb(h + w - x - y, h - x)
ans %= mod
print(ans) |
[
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18,
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] | [
[
225,
4
],
[
20,
19
],
[
27,
26
],
[
214,
28
],
[
27,
29
],
[
27,
30
],
[
27,
31
],
[
34,
33
],
[
26,
35
],
[
29,
36
],
[
76,
42
],
[
74,
45
],
[
76,
46
],
[
51,
50
],
[
76,
53
],
[
74,
55
],
[
76,
56
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[
74,
63
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[
50,
66
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[
76,
66
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[
74,
70
],
[
50,
71
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[
76,
71
],
[
78,
72
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[
74,
74
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[
76,
76
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[
78,
78
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[
81,
80
],
[
86,
85
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[
91,
90
],
[
96,
95
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[
33,
100
],
[
80,
104
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[
80,
109
],
[
95,
111
],
[
19,
112
],
[
90,
115
],
[
90,
121
],
[
19,
123
],
[
95,
124
],
[
19,
126
],
[
95,
127
],
[
19,
128
],
[
85,
131
],
[
85,
136
],
[
90,
139
],
[
19,
141
],
[
144,
143
],
[
38,
145
],
[
33,
147
],
[
26,
150
],
[
19,
152
],
[
155,
154
],
[
30,
159
],
[
31,
160
],
[
163,
162
],
[
26,
166
],
[
30,
167
],
[
154,
168
],
[
172,
171
],
[
31,
173
],
[
154,
174
],
[
177,
176
],
[
38,
179
],
[
162,
182
],
[
171,
183
],
[
162,
186
],
[
19,
188
],
[
38,
190
],
[
26,
193
],
[
29,
194
],
[
162,
196
],
[
171,
197
],
[
26,
199
],
[
162,
200
],
[
19,
201
],
[
204,
203
],
[
19,
204
],
[
203,
208
],
[
176,
208
],
[
143,
208
],
[
19,
209
],
[
223,
211
],
[
225,
226
]
] | [
"import sys\ninput = sys.stdin.readline\n\ndef I(): return int(input())\ndef MI(): return map(int, input().split())\ndef LI(): return list(map(int, input().split()))\n\ndef main():\n mod=10**9+7\n H,W,A,B=MI()\n\n \n N=H+W\n \n def cmb(n, r, mod):\n if (r < 0) or (n < r):\n return 0\n r = min(r, n - r)\n return (fact[n] * factinv[r] * factinv[n-r])%mod\n\n fact=[1,1]\n factinv=[1,1]\n inv=[0,1]\n \n for i in range(2, N + 1):\n fact.append((fact[-1] * i) % mod)\n inv.append((-inv[mod % i] * (mod // i)) % mod)\n factinv.append((factinv[-1] * inv[-1]) % mod)\n \n \n ans=cmb(N-2,H-1,mod)\n \n for i in range(min(A,B)):\n h=H-A+i+1\n w=B-i\n #print(h,w,cmb(h+w-2,h-1,mod),cmb(H+W-(h+w),H-h,mod))\n ans-=cmb(h+w-2,h-1,mod)*cmb(H+W-(h+w),H-h,mod)\n ans%=mod\n \n print(ans%mod)\n\nmain()",
"import sys",
"sys",
"input = sys.stdin.readline",
"input",
"sys.stdin.readline",
"sys.stdin",
"sys",
"stdin",
"readline",
"def I(): return int(input())",
"I",
"def MI(): return map(int, input().split())",
"MI",
"def LI(): return list(map(int, input().split()))",
"LI",
"def main():\n mod=10**9+7\n H,W,A,B=MI()\n\n \n N=H+W\n \n def cmb(n, r, mod):\n if (r < 0) or (n < r):\n return 0\n r = min(r, n - r)\n return (fact[n] * factinv[r] * factinv[n-r])%mod\n\n fact=[1,1]\n factinv=[1,1]\n inv=[0,1]\n \n for i in range(2, N + 1):\n fact.append((fact[-1] * i) % mod)\n inv.append((-inv[mod % i] * (mod // i)) % mod)\n factinv.append((factinv[-1] * inv[-1]) % mod)\n \n \n ans=cmb(N-2,H-1,mod)\n \n for i in range(min(A,B)):\n h=H-A+i+1\n w=B-i\n #print(h,w,cmb(h+w-2,h-1,mod),cmb(H+W-(h+w),H-h,mod))\n ans-=cmb(h+w-2,h-1,mod)*cmb(H+W-(h+w),H-h,mod)\n ans%=mod\n \n print(ans%mod)",
"main",
"mod=10**9+7",
"mod",
"10**9+7",
"10**9",
"10",
"9",
"7",
"H,W,A,B=MI()",
"H",
"MI()",
"MI",
"W",
"A",
"B",
"N=H+W",
"N",
"H+W",
"H",
"W",
"def cmb(n, r, mod):\n if (r < 0) or (n < r):\n return 0\n r = min(r, n - r)\n return (fact[n] * factinv[r] * factinv[n-r])%mod\n\n ",
"cmb",
"if (r < 0) or (n < r):\n return 0\n ",
"(r < 0) or (n < r)",
"r < 0",
"r",
"0",
"n < r",
"n",
"r",
"return 0",
"0",
"r = min(r, n - r)",
"r",
"min(r, n - r)",
"min",
"r",
"n - r",
"n",
"r",
"return (fact[n] * factinv[r] * factinv[n-r])%mod",
"(fact[n] * factinv[r] * factinv[n-r])%mod",
"fact[n] * factinv[r] * factinv[n-r]",
"fact[n] * factinv[r]",
"fact[n]",
"fact",
"n",
"factinv[r]",
"factinv",
"r",
"factinv[n-r]",
"factinv",
"n-r",
"n",
"r",
"mod",
"n",
"n",
"r",
"r",
"mod",
"mod",
"fact=[1,1]",
"fact",
"[1,1]",
"1",
"1",
"factinv=[1,1]",
"factinv",
"[1,1]",
"1",
"1",
"inv=[0,1]",
"inv",
"[0,1]",
"0",
"1",
"for i in range(2, N + 1):\n fact.append((fact[-1] * i) % mod)\n inv.append((-inv[mod % i] * (mod // i)) % mod)\n factinv.append((factinv[-1] * inv[-1]) % mod)\n \n \n ",
"i",
"range(2, N + 1)",
"range",
"2",
"N + 1",
"N",
"1",
"fact.append((fact[-1] * i) % mod)",
"fact.append",
"fact",
"append",
"(fact[-1] * i) % mod",
"fact[-1] * i",
"fact[-1]",
"fact",
"-1",
"i",
"mod",
"inv.append((-inv[mod % i] * (mod // i)) % mod)",
"inv.append",
"inv",
"append",
"(-inv[mod % i] * (mod // i)) % mod",
"-inv[mod % i] * (mod // i)",
"-inv[mod % i]",
"inv[mod % i]",
"inv",
"mod % i",
"mod",
"i",
"mod // i",
"mod",
"i",
"mod",
"factinv.append((factinv[-1] * inv[-1]) % mod)",
"factinv.append",
"factinv",
"append",
"(factinv[-1] * inv[-1]) % mod",
"factinv[-1] * inv[-1]",
"factinv[-1]",
"factinv",
"-1",
"inv[-1]",
"inv",
"-1",
"mod",
"ans=cmb(N-2,H-1,mod)",
"ans",
"cmb(N-2,H-1,mod)",
"cmb",
"N-2",
"N",
"2",
"H-1",
"H",
"1",
"mod",
"for i in range(min(A,B)):\n h=H-A+i+1\n w=B-i\n #print(h,w,cmb(h+w-2,h-1,mod),cmb(H+W-(h+w),H-h,mod))\n ans-=cmb(h+w-2,h-1,mod)*cmb(H+W-(h+w),H-h,mod)\n ans%=mod\n \n ",
"i",
"range(min(A,B))",
"range",
"min(A,B)",
"min",
"A",
"B",
"h=H-A+i+1",
"h",
"H-A+i+1",
"H-A+i",
"H-A",
"H",
"A",
"i",
"1",
"w=B-i",
"w",
"B-i",
"B",
"i",
"ans-=cmb(h+w-2,h-1,mod)*cmb(H+W-(h+w),H-h,mod)",
"ans",
"cmb(h+w-2,h-1,mod)*cmb(H+W-(h+w),H-h,mod)",
"cmb(h+w-2,h-1,mod)",
"cmb",
"h+w-2",
"h+w",
"h",
"w",
"2",
"h-1",
"h",
"1",
"mod",
"cmb(H+W-(h+w),H-h,mod)",
"cmb",
"H+W-(h+w)",
"H+W",
"H",
"W",
"h+w",
"h",
"w",
"H-h",
"H",
"h",
"mod",
"ans%=mod",
"ans",
"mod",
"print(ans%mod)",
"print",
"ans%mod",
"ans",
"mod",
"main()",
"main",
"def MI(): return map(int, input().split())",
"def MI(): return map(int, input().split())",
"MI",
"def I(): return int(input())",
"def I(): return int(input())",
"I",
"def LI(): return list(map(int, input().split()))",
"def LI(): return list(map(int, input().split()))",
"LI",
"def main():\n mod=10**9+7\n H,W,A,B=MI()\n\n \n N=H+W\n \n def cmb(n, r, mod):\n if (r < 0) or (n < r):\n return 0\n r = min(r, n - r)\n return (fact[n] * factinv[r] * factinv[n-r])%mod\n\n fact=[1,1]\n factinv=[1,1]\n inv=[0,1]\n \n for i in range(2, N + 1):\n fact.append((fact[-1] * i) % mod)\n inv.append((-inv[mod % i] * (mod // i)) % mod)\n factinv.append((factinv[-1] * inv[-1]) % mod)\n \n \n ans=cmb(N-2,H-1,mod)\n \n for i in range(min(A,B)):\n h=H-A+i+1\n w=B-i\n #print(h,w,cmb(h+w-2,h-1,mod),cmb(H+W-(h+w),H-h,mod))\n ans-=cmb(h+w-2,h-1,mod)*cmb(H+W-(h+w),H-h,mod)\n ans%=mod\n \n print(ans%mod)",
"def main():\n mod=10**9+7\n H,W,A,B=MI()\n\n \n N=H+W\n \n def cmb(n, r, mod):\n if (r < 0) or (n < r):\n return 0\n r = min(r, n - r)\n return (fact[n] * factinv[r] * factinv[n-r])%mod\n\n fact=[1,1]\n factinv=[1,1]\n inv=[0,1]\n \n for i in range(2, N + 1):\n fact.append((fact[-1] * i) % mod)\n inv.append((-inv[mod % i] * (mod // i)) % mod)\n factinv.append((factinv[-1] * inv[-1]) % mod)\n \n \n ans=cmb(N-2,H-1,mod)\n \n for i in range(min(A,B)):\n h=H-A+i+1\n w=B-i\n #print(h,w,cmb(h+w-2,h-1,mod),cmb(H+W-(h+w),H-h,mod))\n ans-=cmb(h+w-2,h-1,mod)*cmb(H+W-(h+w),H-h,mod)\n ans%=mod\n \n print(ans%mod)",
"main",
"input = sys.stdin.readline",
"sys.stdin.readline",
"input"
] | import sys
input = sys.stdin.readline
def I(): return int(input())
def MI(): return map(int, input().split())
def LI(): return list(map(int, input().split()))
def main():
mod=10**9+7
H,W,A,B=MI()
N=H+W
def cmb(n, r, mod):
if (r < 0) or (n < r):
return 0
r = min(r, n - r)
return (fact[n] * factinv[r] * factinv[n-r])%mod
fact=[1,1]
factinv=[1,1]
inv=[0,1]
for i in range(2, N + 1):
fact.append((fact[-1] * i) % mod)
inv.append((-inv[mod % i] * (mod // i)) % mod)
factinv.append((factinv[-1] * inv[-1]) % mod)
ans=cmb(N-2,H-1,mod)
for i in range(min(A,B)):
h=H-A+i+1
w=B-i
#print(h,w,cmb(h+w-2,h-1,mod),cmb(H+W-(h+w),H-h,mod))
ans-=cmb(h+w-2,h-1,mod)*cmb(H+W-(h+w),H-h,mod)
ans%=mod
print(ans%mod)
main()
|
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10,
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13,
10,
2,
13,
10,
13,
13,
10,
4,
13,
10,
17,
13
] | [
[
277,
2
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268,
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59,
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59,
20
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25,
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57,
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59,
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61,
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24,
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24,
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61,
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59,
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57,
47
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57,
50
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59,
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61,
54
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61,
55
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57,
57
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59,
59
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61,
61
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[
262,
63
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[
68,
67
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278,
72
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263,
76
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263,
81
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67,
83
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67,
85
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269,
86
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235,
88
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278,
93
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97,
96
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278,
101
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[
107,
104
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236,
105
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96,
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239,
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263,
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96,
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269,
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269,
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155,
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157,
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155,
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157,
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155,
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157,
136
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263,
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155,
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236,
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157,
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236,
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155,
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157,
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269,
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155,
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157,
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274,
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274,
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274,
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274,
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242,
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275,
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247,
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260,
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233,
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275,
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233,
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275,
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266,
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275,
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268,
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274,
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277,
278
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] | [
"n=200000\nmod=10**9+7\ndef pf(x,y,p):\n if y==0: return 1\n if y%2==0:\n d=pf(x,y//2,p)\n return d*d%p\n if y%2==1:\n return (x*pf(x,y-1,p))%p\nfacl=[1]\nfor i in range(1,n+2):\n facl.append(facl[i-1]*i%mod)\ninvl=[1]*(n+2)\nfor i in range(1,n+2):\n invl[i]=pf(facl[i],mod-2,mod)\ndef comb(x,k):\n if x<0 or k<0 or x<k: return 0\n if x==0 or k==0: return 1\n return (facl[x]*invl[k]*invl[x-k])%mod\nh,w,a,b=map(int,input().split())\nif h-a<w-b:\n h,w=w,h\n a,b=b,a\nt=0\nfor i in range(w-b):\n t+=comb(h-a+b-1,b+i)*comb(w-b+a-1,a+i)\nprint(t%mod)",
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"def pf(x,y,p):\n if y==0: return 1\n if y%2==0:\n d=pf(x,y//2,p)\n return d*d%p\n if y%2==1:\n return (x*pf(x,y-1,p))%p",
"pf",
"h,w,a,b=map(int,input().split())",
"map(int,input().split())",
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"h",
"w",
"def comb(x,k):\n if x<0 or k<0 or x<k: return 0\n if x==0 or k==0: return 1\n return (facl[x]*invl[k]*invl[x-k])%mod",
"def comb(x,k):\n if x<0 or k<0 or x<k: return 0\n if x==0 or k==0: return 1\n return (facl[x]*invl[k]*invl[x-k])%mod",
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"n=200000",
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"n"
] | n=200000
mod=10**9+7
def pf(x,y,p):
if y==0: return 1
if y%2==0:
d=pf(x,y//2,p)
return d*d%p
if y%2==1:
return (x*pf(x,y-1,p))%p
facl=[1]
for i in range(1,n+2):
facl.append(facl[i-1]*i%mod)
invl=[1]*(n+2)
for i in range(1,n+2):
invl[i]=pf(facl[i],mod-2,mod)
def comb(x,k):
if x<0 or k<0 or x<k: return 0
if x==0 or k==0: return 1
return (facl[x]*invl[k]*invl[x-k])%mod
h,w,a,b=map(int,input().split())
if h-a<w-b:
h,w=w,h
a,b=b,a
t=0
for i in range(w-b):
t+=comb(h-a+b-1,b+i)*comb(w-b+a-1,a+i)
print(t%mod) |
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13,
10,
2,
13,
10,
4,
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] | [
[
231,
2
],
[
231,
11
],
[
231,
12
],
[
231,
13
],
[
225,
15
],
[
223,
17
],
[
232,
18
],
[
228,
20
],
[
213,
27
],
[
226,
32
],
[
36,
35
],
[
226,
40
],
[
46,
43
],
[
214,
44
],
[
35,
45
],
[
214,
49
],
[
35,
51
],
[
35,
53
],
[
229,
54
],
[
216,
56
],
[
226,
61
],
[
67,
64
],
[
217,
65
],
[
226,
66
],
[
214,
70
],
[
226,
71
],
[
229,
73
],
[
229,
75
],
[
78,
77
],
[
226,
81
],
[
89,
86
],
[
217,
87
],
[
77,
88
],
[
217,
92
],
[
77,
94
],
[
77,
97
],
[
229,
99
],
[
129,
104
],
[
127,
105
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[
214,
114
],
[
127,
115
],
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217,
117
],
[
129,
118
],
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229,
119
],
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217,
121
],
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127,
123
],
[
129,
124
],
[
229,
125
],
[
127,
127
],
[
129,
129
],
[
210,
131
],
[
198,
134
],
[
223,
136
],
[
193,
137
],
[
195,
139
],
[
205,
141
],
[
199,
146
],
[
208,
146
],
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196,
149
],
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220,
149
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232,
150
],
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234,
152
],
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211,
155
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235,
155
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202,
159
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199,
162
],
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208,
162
],
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196,
163
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220,
163
],
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199,
166
],
[
208,
166
],
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202,
169
],
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223,
173
],
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232,
174
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199,
175
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208,
175
],
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196,
176
],
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220,
176
],
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223,
178
],
[
199,
179
],
[
208,
179
],
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229,
180
],
[
229,
181
],
[
207,
183
],
[
219,
186
],
[
235,
190
],
[
211,
190
],
[
231,
193
],
[
195,
196
],
[
198,
199
],
[
231,
205
],
[
207,
208
],
[
210,
211
],
[
213,
214
],
[
216,
217
],
[
219,
220
],
[
231,
223
],
[
225,
226
],
[
228,
229
],
[
231,
232
],
[
234,
235
]
] | [
"h,w,a,b = map(int,input().split())\nn = h+w\nmod = 10**9+7\nfun = [1]*(n+1)\nfor i in range(1,n+1):\n fun[i] = fun[i-1]*i%mod\nrev = [1]*(n+1)\nrev[n] = pow(fun[n],mod-2,mod)\nfor i in range(n-1,0,-1):\n rev[i] = rev[i+1]*(i+1)%mod\ndef nCr(n,r):\n if r > n:\n return 0\n return fun[n]*rev[r]%mod*rev[n-r]%mod\nans = 0\ni = h-a\nj = b+1\nwhile i > 0 and j <= w:\n ans = (ans+nCr(i+j-2,i-1)*nCr(h+w-i-j,h-i)%mod)%mod\n i -= 1\n j += 1\nprint(ans)",
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"range(n-1,0,-1)",
"range",
"n-1",
"n",
"1",
"0",
"-1",
"rev[i] = rev[i+1]*(i+1)%mod",
"rev[i]",
"rev",
"i",
"rev[i+1]*(i+1)%mod",
"rev[i+1]*(i+1)",
"rev[i+1]",
"rev",
"i+1",
"i",
"1",
"i+1",
"i",
"1",
"mod",
"def nCr(n,r):\n if r > n:\n return 0\n return fun[n]*rev[r]%mod*rev[n-r]%mod",
"nCr",
"if r > n:\n return 0\n ",
"r > n",
"r",
"n",
"return 0",
"0",
"return fun[n]*rev[r]%mod*rev[n-r]%mod",
"fun[n]*rev[r]%mod*rev[n-r]%mod",
"fun[n]*rev[r]%mod*rev[n-r]",
"fun[n]*rev[r]%mod",
"fun[n]*rev[r]",
"fun[n]",
"fun",
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"mod",
"rev[n-r]",
"rev",
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"n",
"r",
"r",
"ans = 0",
"ans",
"0",
"i = h-a",
"i",
"h-a",
"h",
"a",
"j = b+1",
"j",
"b+1",
"b",
"1",
"while i > 0 and j <= w:\n ans = (ans+nCr(i+j-2,i-1)*nCr(h+w-i-j,h-i)%mod)%mod\n i -= 1\n j += 1",
"i > 0 and j <= w",
"i > 0",
"i",
"0",
"j <= w",
"j",
"w",
"ans = (ans+nCr(i+j-2,i-1)*nCr(h+w-i-j,h-i)%mod)%mod",
"ans",
"(ans+nCr(i+j-2,i-1)*nCr(h+w-i-j,h-i)%mod)%mod",
"ans+nCr(i+j-2,i-1)*nCr(h+w-i-j,h-i)%mod",
"ans",
"nCr(i+j-2,i-1)*nCr(h+w-i-j,h-i)%mod",
"nCr(i+j-2,i-1)*nCr(h+w-i-j,h-i)",
"nCr(i+j-2,i-1)",
"nCr",
"i+j-2",
"i+j",
"i",
"j",
"2",
"i-1",
"i",
"1",
"nCr(h+w-i-j,h-i)",
"nCr",
"h+w-i-j",
"h+w-i",
"h+w",
"h",
"w",
"i",
"j",
"h-i",
"h",
"i",
"mod",
"mod",
"i -= 1",
"i",
"1",
"j += 1",
"j",
"1",
"print(ans)",
"print",
"ans",
"a,b = map(int,input().split())",
"map(int,input().split())",
"a",
"j = b+1",
"b+1",
"j",
"i = h-a",
"h-a",
"i",
"def nCr(n,r):\n if r > n:\n return 0\n return fun[n]*rev[r]%mod*rev[n-r]%mod",
"def nCr(n,r):\n if r > n:\n return 0\n return fun[n]*rev[r]%mod*rev[n-r]%mod",
"nCr",
"b = map(int,input().split())",
"map(int,input().split())",
"b",
"i -= 1",
"1",
"i",
"ans = 0",
"0",
"ans",
"fun = [1]*(n+1)",
"[1]*(n+1)",
"fun",
"rev = [1]*(n+1)",
"[1]*(n+1)",
"rev",
"j += 1",
"1",
"j",
"h,w,a,b = map(int,input().split())",
"map(int,input().split())",
"h",
"n = h+w",
"h+w",
"n",
"mod = 10**9+7",
"10**9+7",
"mod",
"w,a,b = map(int,input().split())",
"map(int,input().split())",
"w",
"ans = (ans+nCr(i+j-2,i-1)*nCr(h+w-i-j,h-i)%mod)%mod",
"(ans+nCr(i+j-2,i-1)*nCr(h+w-i-j,h-i)%mod)%mod",
"ans"
] | h,w,a,b = map(int,input().split())
n = h+w
mod = 10**9+7
fun = [1]*(n+1)
for i in range(1,n+1):
fun[i] = fun[i-1]*i%mod
rev = [1]*(n+1)
rev[n] = pow(fun[n],mod-2,mod)
for i in range(n-1,0,-1):
rev[i] = rev[i+1]*(i+1)%mod
def nCr(n,r):
if r > n:
return 0
return fun[n]*rev[r]%mod*rev[n-r]%mod
ans = 0
i = h-a
j = b+1
while i > 0 and j <= w:
ans = (ans+nCr(i+j-2,i-1)*nCr(h+w-i-j,h-i)%mod)%mod
i -= 1
j += 1
print(ans)
|
[
7,
0,
13,
4,
18,
4,
13,
13,
17,
0,
13,
4,
13,
18,
13,
17,
0,
13,
4,
13,
18,
13,
17,
0,
13,
4,
13,
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0,
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4,
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10,
4,
13,
10,
2,
13,
10,
4,
13,
10,
2,
13,
10,
4,
13
] | [
[
164,
2
],
[
167,
10
],
[
165,
14
],
[
158,
17
],
[
165,
21
],
[
173,
24
],
[
165,
28
],
[
179,
31
],
[
165,
35
],
[
170,
38
],
[
152,
45
],
[
161,
49
],
[
54,
53
],
[
168,
59
],
[
159,
60
],
[
153,
64
],
[
53,
68
],
[
153,
70
],
[
53,
72
],
[
171,
74
],
[
162,
77
],
[
153,
82
],
[
53,
83
],
[
171,
89
],
[
176,
91
],
[
162,
95
],
[
168,
98
],
[
174,
99
],
[
162,
102
],
[
174,
104
],
[
171,
106
],
[
155,
108
],
[
153,
116
],
[
168,
120
],
[
174,
122
],
[
162,
125
],
[
162,
128
],
[
159,
131
],
[
153,
135
],
[
159,
139
],
[
174,
142
],
[
171,
143
],
[
156,
148
],
[
177,
149
],
[
171,
150
],
[
152,
153
],
[
155,
156
],
[
158,
159
],
[
161,
162
],
[
164,
165
],
[
167,
168
],
[
170,
171
],
[
173,
174
],
[
176,
177
],
[
179,
180
]
] | [
"inp=input().split(\" \")\nH=int(inp[0])\nW=int(inp[1])\nA=int(inp[2])\nB=int(inp[3])\nmod=10**9+7\nfact=[1]\nfact_r=[1]\nfor i in range(1,H+W-1):\n fact.append(i*fact[i-1]%mod)\n fact_r.append(pow(fact[i],10**9+5,mod))\nconst=fact_r[H-A-1]*fact_r[A-1]%mod\nans=sum(fact[H+i-A-1]*fact_r[i]*fact_r[W-i-1]*fact[W-i-2+A]%mod for i in range(B,W))\nprint(ans*const%mod)",
"inp=input().split(\" \")",
"inp",
"input().split(\" \")",
"().split",
"()",
"input",
"split",
"\" \"",
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"i",
"range(1,H+W-1)",
"range",
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"const",
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"H-A-1",
"H-A",
"H",
"A",
"1",
"fact_r[A-1]",
"fact_r",
"A-1",
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"mod",
"ans=sum(fact[H+i-A-1]*fact_r[i]*fact_r[W-i-1]*fact[W-i-2+A]%mod for i in range(B,W))",
"ans",
"sum(fact[H+i-A-1]*fact_r[i]*fact_r[W-i-1]*fact[W-i-2+A]%mod for i in range(B,W))",
"sum",
"fact[H+i-A-1]*fact_r[i]*fact_r[W-i-1]*fact[W-i-2+A]%mod",
"fact[H+i-A-1]*fact_r[i]*fact_r[W-i-1]*fact[W-i-2+A]",
"fact[H+i-A-1]*fact_r[i]*fact_r[W-i-1]",
"fact[H+i-A-1]*fact_r[i]",
"fact[H+i-A-1]",
"fact",
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"H+i-A",
"H+i",
"H",
"i",
"A",
"1",
"fact_r[i]",
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"i",
"fact_r[W-i-1]",
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"W",
"i",
"1",
"fact[W-i-2+A]",
"fact",
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"[1]",
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"ans=sum(fact[H+i-A-1]*fact_r[i]*fact_r[W-i-1]*fact[W-i-2+A]%mod for i in range(B,W))",
"sum(fact[H+i-A-1]*fact_r[i]*fact_r[W-i-1]*fact[W-i-2+A]%mod for i in range(B,W))",
"ans",
"W=int(inp[1])",
"int(inp[1])",
"W",
"fact_r=[1]",
"[1]",
"fact_r",
"inp=input().split(\" \")",
"input().split(\" \")",
"inp",
"H=int(inp[0])",
"int(inp[0])",
"H",
"mod=10**9+7",
"10**9+7",
"mod",
"A=int(inp[2])",
"int(inp[2])",
"A",
"const=fact_r[H-A-1]*fact_r[A-1]%mod",
"fact_r[H-A-1]*fact_r[A-1]%mod",
"const",
"B=int(inp[3])",
"int(inp[3])",
"B"
] | inp=input().split(" ")
H=int(inp[0])
W=int(inp[1])
A=int(inp[2])
B=int(inp[3])
mod=10**9+7
fact=[1]
fact_r=[1]
for i in range(1,H+W-1):
fact.append(i*fact[i-1]%mod)
fact_r.append(pow(fact[i],10**9+5,mod))
const=fact_r[H-A-1]*fact_r[A-1]%mod
ans=sum(fact[H+i-A-1]*fact_r[i]*fact_r[W-i-1]*fact[W-i-2+A]%mod for i in range(B,W))
print(ans*const%mod) |
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10,
12,
13,
10,
4,
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] | [
[
379,
5
],
[
388,
12
],
[
385,
17
],
[
397,
22
],
[
28,
27
],
[
389,
34
],
[
389,
39
],
[
27,
41
],
[
27,
43
],
[
380,
44
],
[
398,
47
],
[
380,
50
],
[
398,
54
],
[
380,
56
],
[
27,
57
],
[
380,
59
],
[
27,
60
],
[
380,
61
],
[
386,
64
],
[
386,
69
],
[
27,
71
],
[
398,
74
],
[
27,
75
],
[
380,
76
],
[
112,
83
],
[
114,
84
],
[
112,
86
],
[
114,
89
],
[
389,
97
],
[
112,
98
],
[
386,
102
],
[
114,
103
],
[
386,
105
],
[
112,
107
],
[
114,
108
],
[
380,
109
],
[
380,
110
],
[
112,
112
],
[
114,
114
],
[
173,
121
],
[
175,
122
],
[
173,
124
],
[
175,
127
],
[
133,
132
],
[
175,
135
],
[
173,
137
],
[
175,
138
],
[
141,
140
],
[
173,
148
],
[
173,
150
],
[
132,
151
],
[
175,
151
],
[
156,
155
],
[
132,
165
],
[
175,
165
],
[
140,
170
],
[
155,
171
],
[
173,
173
],
[
175,
175
],
[
374,
179
],
[
187,
186
],
[
274,
190
],
[
193,
192
],
[
274,
196
],
[
199,
198
],
[
272,
202
],
[
208,
205
],
[
192,
206
],
[
265,
206
],
[
211,
210
],
[
198,
214
],
[
272,
217
],
[
276,
219
],
[
224,
221
],
[
192,
222
],
[
265,
222
],
[
278,
223
],
[
186,
225
],
[
263,
225
],
[
278,
226
],
[
229,
228
],
[
278,
229
],
[
232,
231
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228,
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[
210,
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[
274,
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[
242,
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[
192,
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265,
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[
231,
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192,
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265,
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186,
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231,
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274,
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276,
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278,
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283,
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286,
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345,
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292,
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343,
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[
345,
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298,
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345,
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303,
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347,
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] | [
"import operator as op\nfrom functools import reduce\n\nMOD = (10 ** 9) + 7\n\nfactors = [1, 1]\nfinv = [1, 1]\ninv = [0, 1]\n\nfor i in range(2, 200010):\n factors.append(factors[i - 1] * i % MOD)\n inv.append(MOD - inv[MOD % i] * (MOD // i) % MOD)\n finv.append(finv[i - 1] * inv[i] % MOD)\n\ndef nck(n, k):\n if n < k or n < 0 or k < 0:\n return 0\n return factors[n] * (finv[k] * finv[n - k] % MOD) % MOD\n\ndef ncr(n, r):\n if n < r or n < 0 or r < 0:\n return 0\n r = min(r, n-r)\n numer = reduce(op.mul, range(n, n-r, -1), 1)\n denom = reduce(op.mul, range(1, r+1), 1)\n return numer / denom\n\nassert ncr(3, 4) == 0\n\ndef g(h, w, a, b):\n prev = [1] * w\n cur = [0] * w\n\n for i in range(h - 1):\n cur[0] = 1\n start = 0\n if i >= h - 1 - a:\n cur[b] = prev[b]\n start = b\n for j in range(start + 1, w):\n cur[j] = cur[j - 1] + prev[j]\n cur[j] = cur[j] % (1e9 + 7)\n prev, cur = cur, prev\n return prev[-1]\n\ndef f(H, W, A, B):\n count = 0\n x, y, a = H - A - 1, W + A - 2, A - 1\n for i in range(B, W): # bottom-left to top-right\n c1 = nck(x + i, i)\n c2 = nck(y - i, a)\n c = c1 * c2\n count += c\n count = count % MOD\n return int(count)\n\n## assert f(4, 4, 0, 0) == 20\n# assert f(4, 4, 2, 2) == 10\n#assert f(2, 3, 1, 1) == 2\n#assert f(10, 7, 3, 4) == 3570\n#assert f(100000, 100000, 99999, 99999) == 1\n#assert f(100000, 100000, 44444, 55555) == 738162020\n\nH, W, A, B = map(int, input().split())\nans = f(H, W, A, B)\nprint(ans)",
"import operator as op",
"operator",
"from functools import reduce",
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"for i in range(2, 200010):\n factors.append(factors[i - 1] * i % MOD)\n inv.append(MOD - inv[MOD % i] * (MOD // i) % MOD)\n finv.append(finv[i - 1] * inv[i] % MOD)",
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"def nck(n, k):\n if n < k or n < 0 or k < 0:\n return 0\n return factors[n] * (finv[k] * finv[n - k] % MOD) % MOD",
"nck",
"if n < k or n < 0 or k < 0:\n return 0\n ",
"n < k or n < 0 or k < 0",
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"factors[n] * (finv[k] * finv[n - k] % MOD) % MOD",
"factors[n] * (finv[k] * finv[n - k] % MOD)",
"factors[n]",
"factors",
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"finv[k]",
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"finv[n - k]",
"finv",
"n - k",
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"k",
"MOD",
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"k",
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"def ncr(n, r):\n if n < r or n < 0 or r < 0:\n return 0\n r = min(r, n-r)\n numer = reduce(op.mul, range(n, n-r, -1), 1)\n denom = reduce(op.mul, range(1, r+1), 1)\n return numer / denom",
"ncr",
"if n < r or n < 0 or r < 0:\n return 0\n ",
"n < r or n < 0 or r < 0",
"n < r or n < 0",
"n < r",
"n",
"r",
"n < 0",
"n",
"0",
"r < 0",
"r",
"0",
"return 0",
"0",
"r = min(r, n-r)",
"r",
"min(r, n-r)",
"min",
"r",
"n-r",
"n",
"r",
"numer = reduce(op.mul, range(n, n-r, -1), 1)",
"numer",
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"reduce",
"op.mul",
"op",
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"n",
"n-r",
"n",
"r",
"-1",
"1",
"denom = reduce(op.mul, range(1, r+1), 1)",
"denom",
"reduce(op.mul, range(1, r+1), 1)",
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"op.mul",
"op",
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"r+1",
"r",
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"1",
"return numer / denom",
"numer / denom",
"numer",
"denom",
"n",
"n",
"r",
"r",
"assert ncr(3, 4) == 0",
"ncr(3, 4) == 0",
"ncr(3, 4)",
"ncr",
"3",
"4",
"0",
"def g(h, w, a, b):\n prev = [1] * w\n cur = [0] * w\n\n for i in range(h - 1):\n cur[0] = 1\n start = 0\n if i >= h - 1 - a:\n cur[b] = prev[b]\n start = b\n for j in range(start + 1, w):\n cur[j] = cur[j - 1] + prev[j]\n cur[j] = cur[j] % (1e9 + 7)\n prev, cur = cur, prev\n return prev[-1]",
"g",
"prev = [1] * w",
"prev",
"[1] * w",
"[1]",
"1",
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"cur = [0] * w",
"cur",
"[0] * w",
"[0]",
"0",
"w",
"for i in range(h - 1):\n cur[0] = 1\n start = 0\n if i >= h - 1 - a:\n cur[b] = prev[b]\n start = b\n for j in range(start + 1, w):\n cur[j] = cur[j - 1] + prev[j]\n cur[j] = cur[j] % (1e9 + 7)\n prev, cur = cur, prev\n ",
"i",
"range(h - 1)",
"range",
"h - 1",
"h",
"1",
"cur[0] = 1",
"cur[0]",
"cur",
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"start = 0",
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"if i >= h - 1 - a:\n cur[b] = prev[b]\n start = b\n ",
"i >= h - 1 - a",
"i",
"h - 1 - a",
"h - 1",
"h",
"1",
"a",
"cur[b] = prev[b]",
"cur[b]",
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"start = b",
"start",
"b",
"for j in range(start + 1, w):\n cur[j] = cur[j - 1] + prev[j]\n cur[j] = cur[j] % (1e9 + 7)\n ",
"j",
"range(start + 1, w)",
"range",
"start + 1",
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"w",
"cur[j] = cur[j - 1] + prev[j]",
"cur[j]",
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"h",
"h",
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"b",
"def f(H, W, A, B):\n count = 0\n x, y, a = H - A - 1, W + A - 2, A - 1\n for i in range(B, W): # bottom-left to top-right\n c1 = nck(x + i, i)\n c2 = nck(y - i, a)\n c = c1 * c2\n count += c\n count = count % MOD\n return int(count)\n\n## assert f(4, 4, 0, 0) == 20\n# assert f(4, 4, 2, 2) == 10\n#assert f(2, 3, 1, 1) == 2\n#assert f(10, 7, 3, 4) == 3570\n#assert f(100000, 100000, 99999, 99999) == 1\n#assert f(100000, 100000, 44444, 55555) == 738162020",
"f",
"count = 0",
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"x, y, a = H - A - 1, W + A - 2, A - 1",
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"for i in range(B, W): # bottom-left to top-right\n c1 = nck(x + i, i)\n c2 = nck(y - i, a)\n c = c1 * c2\n count += c\n count = count % MOD\n ",
"i",
"range(B, W)",
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"W",
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"H, W, A, B = map(int, input().split())",
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"W",
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"print",
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"def ncr(n, r):\n if n < r or n < 0 or r < 0:\n return 0\n r = min(r, n-r)\n numer = reduce(op.mul, range(n, n-r, -1), 1)\n denom = reduce(op.mul, range(1, r+1), 1)\n return numer / denom",
"def ncr(n, r):\n if n < r or n < 0 or r < 0:\n return 0\n r = min(r, n-r)\n numer = reduce(op.mul, range(n, n-r, -1), 1)\n denom = reduce(op.mul, range(1, r+1), 1)\n return numer / denom",
"ncr",
"W, A, B = map(int, input().split())",
"map(int, input().split())",
"W",
"MOD = (10 ** 9) + 7",
"(10 ** 9) + 7",
"MOD",
"def f(H, W, A, B):\n count = 0\n x, y, a = H - A - 1, W + A - 2, A - 1\n for i in range(B, W): # bottom-left to top-right\n c1 = nck(x + i, i)\n c2 = nck(y - i, a)\n c = c1 * c2\n count += c\n count = count % MOD\n return int(count)\n\n## assert f(4, 4, 0, 0) == 20\n# assert f(4, 4, 2, 2) == 10\n#assert f(2, 3, 1, 1) == 2\n#assert f(10, 7, 3, 4) == 3570\n#assert f(100000, 100000, 99999, 99999) == 1\n#assert f(100000, 100000, 44444, 55555) == 738162020",
"def f(H, W, A, B):\n count = 0\n x, y, a = H - A - 1, W + A - 2, A - 1\n for i in range(B, W): # bottom-left to top-right\n c1 = nck(x + i, i)\n c2 = nck(y - i, a)\n c = c1 * c2\n count += c\n count = count % MOD\n return int(count)\n\n## assert f(4, 4, 0, 0) == 20\n# assert f(4, 4, 2, 2) == 10\n#assert f(2, 3, 1, 1) == 2\n#assert f(10, 7, 3, 4) == 3570\n#assert f(100000, 100000, 99999, 99999) == 1\n#assert f(100000, 100000, 44444, 55555) == 738162020",
"f",
"finv = [1, 1]",
"[1, 1]",
"finv",
"factors = [1, 1]",
"[1, 1]",
"factors",
"def nck(n, k):\n if n < k or n < 0 or k < 0:\n return 0\n return factors[n] * (finv[k] * finv[n - k] % MOD) % MOD",
"def nck(n, k):\n if n < k or n < 0 or k < 0:\n return 0\n return factors[n] * (finv[k] * finv[n - k] % MOD) % MOD",
"nck",
"A, B = map(int, input().split())",
"map(int, input().split())",
"A",
"inv = [0, 1]",
"[0, 1]",
"inv",
"B = map(int, input().split())",
"map(int, input().split())",
"B",
"def g(h, w, a, b):\n prev = [1] * w\n cur = [0] * w\n\n for i in range(h - 1):\n cur[0] = 1\n start = 0\n if i >= h - 1 - a:\n cur[b] = prev[b]\n start = b\n for j in range(start + 1, w):\n cur[j] = cur[j - 1] + prev[j]\n cur[j] = cur[j] % (1e9 + 7)\n prev, cur = cur, prev\n return prev[-1]",
"def g(h, w, a, b):\n prev = [1] * w\n cur = [0] * w\n\n for i in range(h - 1):\n cur[0] = 1\n start = 0\n if i >= h - 1 - a:\n cur[b] = prev[b]\n start = b\n for j in range(start + 1, w):\n cur[j] = cur[j - 1] + prev[j]\n cur[j] = cur[j] % (1e9 + 7)\n prev, cur = cur, prev\n return prev[-1]",
"g",
"H, W, A, B = map(int, input().split())",
"map(int, input().split())",
"H",
"ans = f(H, W, A, B)",
"f(H, W, A, B)",
"ans"
] | import operator as op
from functools import reduce
MOD = (10 ** 9) + 7
factors = [1, 1]
finv = [1, 1]
inv = [0, 1]
for i in range(2, 200010):
factors.append(factors[i - 1] * i % MOD)
inv.append(MOD - inv[MOD % i] * (MOD // i) % MOD)
finv.append(finv[i - 1] * inv[i] % MOD)
def nck(n, k):
if n < k or n < 0 or k < 0:
return 0
return factors[n] * (finv[k] * finv[n - k] % MOD) % MOD
def ncr(n, r):
if n < r or n < 0 or r < 0:
return 0
r = min(r, n-r)
numer = reduce(op.mul, range(n, n-r, -1), 1)
denom = reduce(op.mul, range(1, r+1), 1)
return numer / denom
assert ncr(3, 4) == 0
def g(h, w, a, b):
prev = [1] * w
cur = [0] * w
for i in range(h - 1):
cur[0] = 1
start = 0
if i >= h - 1 - a:
cur[b] = prev[b]
start = b
for j in range(start + 1, w):
cur[j] = cur[j - 1] + prev[j]
cur[j] = cur[j] % (1e9 + 7)
prev, cur = cur, prev
return prev[-1]
def f(H, W, A, B):
count = 0
x, y, a = H - A - 1, W + A - 2, A - 1
for i in range(B, W): # bottom-left to top-right
c1 = nck(x + i, i)
c2 = nck(y - i, a)
c = c1 * c2
count += c
count = count % MOD
return int(count)
## assert f(4, 4, 0, 0) == 20
# assert f(4, 4, 2, 2) == 10
#assert f(2, 3, 1, 1) == 2
#assert f(10, 7, 3, 4) == 3570
#assert f(100000, 100000, 99999, 99999) == 1
#assert f(100000, 100000, 44444, 55555) == 738162020
H, W, A, B = map(int, input().split())
ans = f(H, W, A, B)
print(ans)
|
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107,
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279,
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282,
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] | [
"H,W,A,B = map(int, input().split())\nMOD = 10 ** 9 + 7\n\nN = H+W+1\n\ndef power(base, num):\n if num == 0:\n return 1\n elif num % 2==0:\n return power(base, num//2) **2 % MOD\n elif num==1:\n return base % MOD\n else:\n return power(base, num//2) **2 * base % MOD\n\nfact = [0 for i in range(N)]\ninv_fact = [0 for i in range(N)]\n\nfact[0] = 1\nfor i in range(1, N):\n fact[i] = fact[i-1] * i % MOD\n \ninv_fact[H+W] = power(fact[H+W], MOD-2)\nfor i in range(1, N):\n inv_fact[N-1-i] = inv_fact[N-i] * (N-i) % MOD\n\n \ndef comb(x,y):\n return (fact[x] * inv_fact[y])%MOD * inv_fact[x-y] % MOD\n\nans = 0\n\nfor i in range(1, W-B+1):\n ans += comb(H-A+B-2+i, H-A-1) * comb(A-1+W-B-i, A-1) % MOD\n ans %= MOD\nprint(ans%MOD)",
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"power",
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"def power(base, num):\n if num == 0:\n return 1\n elif num % 2==0:\n return power(base, num//2) **2 % MOD\n elif num==1:\n return base % MOD\n else:\n return power(base, num//2) **2 * base % MOD",
"def power(base, num):\n if num == 0:\n return 1\n elif num % 2==0:\n return power(base, num//2) **2 % MOD\n elif num==1:\n return base % MOD\n else:\n return power(base, num//2) **2 * base % MOD",
"power",
"ans += comb(H-A+B-2+i, H-A-1) * comb(A-1+W-B-i, A-1) % MOD",
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"ans",
"H,W,A,B = map(int, input().split())",
"map(int, input().split())",
"H",
"def comb(x,y):\n return (fact[x] * inv_fact[y])%MOD * inv_fact[x-y] % MOD",
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"A",
"N = H+W+1",
"H+W+1",
"N"
] | H,W,A,B = map(int, input().split())
MOD = 10 ** 9 + 7
N = H+W+1
def power(base, num):
if num == 0:
return 1
elif num % 2==0:
return power(base, num//2) **2 % MOD
elif num==1:
return base % MOD
else:
return power(base, num//2) **2 * base % MOD
fact = [0 for i in range(N)]
inv_fact = [0 for i in range(N)]
fact[0] = 1
for i in range(1, N):
fact[i] = fact[i-1] * i % MOD
inv_fact[H+W] = power(fact[H+W], MOD-2)
for i in range(1, N):
inv_fact[N-1-i] = inv_fact[N-i] * (N-i) % MOD
def comb(x,y):
return (fact[x] * inv_fact[y])%MOD * inv_fact[x-y] % MOD
ans = 0
for i in range(1, W-B+1):
ans += comb(H-A+B-2+i, H-A-1) * comb(A-1+W-B-i, A-1) % MOD
ans %= MOD
print(ans%MOD)
|
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198,
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210,
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199,
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208,
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91,
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198,
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207,
208
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] | [
"mod = 10**9 + 7\nh, w, a, b = list(map(int, input().split()))\n\nt_mod = [1] * (h+w-1) \nfor i in range(1, h+w-1):\n t_mod[i] = i * t_mod[i-1] % mod \n\nt_modinv = list(map(lambda v: pow(v, mod-2, mod), t_mod))\n\ndef comb(n, r):\n return t_mod[n] * t_modinv[r] * t_modinv[n-r] % mod\n\nans = comb(h-a-1+b, b) * comb(a+w-1-b, a) % mod\nfor i in range(1, w-b):\n ans += (comb(h-a-1+b+i, b+i) - comb(h-a-1+b+i-1, b+i-1)) * comb(a+w-1-b-i, a) % mod\n\nprint(ans % mod)",
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"v",
"mod-2",
"mod",
"2",
"mod",
"v",
"t_mod",
"def comb(n, r):\n return t_mod[n] * t_modinv[r] * t_modinv[n-r] % mod",
"comb",
"return t_mod[n] * t_modinv[r] * t_modinv[n-r] % mod",
"t_mod[n] * t_modinv[r] * t_modinv[n-r] % mod",
"t_mod[n] * t_modinv[r] * t_modinv[n-r]",
"t_mod[n] * t_modinv[r]",
"t_mod[n]",
"t_mod",
"n",
"t_modinv[r]",
"t_modinv",
"r",
"t_modinv[n-r]",
"t_modinv",
"n-r",
"n",
"r",
"mod",
"n",
"n",
"r",
"r",
"ans = comb(h-a-1+b, b) * comb(a+w-1-b, a) % mod",
"ans",
"comb(h-a-1+b, b) * comb(a+w-1-b, a) % mod",
"comb(h-a-1+b, b) * comb(a+w-1-b, a)",
"comb(h-a-1+b, b)",
"comb",
"h-a-1+b",
"h-a-1",
"h-a",
"h",
"a",
"1",
"b",
"b",
"comb(a+w-1-b, a)",
"comb",
"a+w-1-b",
"a+w-1",
"a+w",
"a",
"w",
"1",
"b",
"a",
"mod",
"for i in range(1, w-b):\n ans += (comb(h-a-1+b+i, b+i) - comb(h-a-1+b+i-1, b+i-1)) * comb(a+w-1-b-i, a) % mod",
"i",
"range(1, w-b)",
"range",
"1",
"w-b",
"w",
"b",
"ans += (comb(h-a-1+b+i, b+i) - comb(h-a-1+b+i-1, b+i-1)) * comb(a+w-1-b-i, a) % mod",
"ans",
"(comb(h-a-1+b+i, b+i) - comb(h-a-1+b+i-1, b+i-1)) * comb(a+w-1-b-i, a) % mod",
"(comb(h-a-1+b+i, b+i) - comb(h-a-1+b+i-1, b+i-1)) * comb(a+w-1-b-i, a)",
"comb(h-a-1+b+i, b+i) - comb(h-a-1+b+i-1, b+i-1)",
"comb(h-a-1+b+i, b+i)",
"comb",
"h-a-1+b+i",
"h-a-1+b",
"h-a-1",
"h-a",
"h",
"a",
"1",
"b",
"i",
"b+i",
"b",
"i",
"comb(h-a-1+b+i-1, b+i-1)",
"comb",
"h-a-1+b+i-1",
"h-a-1+b+i",
"h-a-1+b",
"h-a-1",
"h-a",
"h",
"a",
"1",
"b",
"i",
"1",
"b+i-1",
"b+i",
"b",
"i",
"1",
"comb(a+w-1-b-i, a)",
"comb",
"a+w-1-b-i",
"a+w-1-b",
"a+w-1",
"a+w",
"a",
"w",
"1",
"b",
"i",
"a",
"mod",
"print(ans % mod)",
"print",
"ans % mod",
"ans",
"mod",
"ans += (comb(h-a-1+b+i, b+i) - comb(h-a-1+b+i-1, b+i-1)) * comb(a+w-1-b-i, a) % mod",
"(comb(h-a-1+b+i, b+i) - comb(h-a-1+b+i-1, b+i-1)) * comb(a+w-1-b-i, a) % mod",
"ans",
"h, w, a, b = list(map(int, input().split()))",
"list(map(int, input().split()))",
"h",
"b = list(map(int, input().split()))",
"list(map(int, input().split()))",
"b",
"ans = comb(h-a-1+b, b) * comb(a+w-1-b, a) % mod",
"comb(h-a-1+b, b) * comb(a+w-1-b, a) % mod",
"ans",
"t_modinv = list(map(lambda v: pow(v, mod-2, mod), t_mod))",
"list(map(lambda v: pow(v, mod-2, mod), t_mod))",
"t_modinv",
"mod = 10**9 + 7",
"10**9 + 7",
"mod",
"w, a, b = list(map(int, input().split()))",
"list(map(int, input().split()))",
"w",
"def comb(n, r):\n return t_mod[n] * t_modinv[r] * t_modinv[n-r] % mod",
"def comb(n, r):\n return t_mod[n] * t_modinv[r] * t_modinv[n-r] % mod",
"comb",
"t_mod = [1] * (h+w-1)",
"[1] * (h+w-1)",
"t_mod",
"a, b = list(map(int, input().split()))",
"list(map(int, input().split()))",
"a"
] | mod = 10**9 + 7
h, w, a, b = list(map(int, input().split()))
t_mod = [1] * (h+w-1)
for i in range(1, h+w-1):
t_mod[i] = i * t_mod[i-1] % mod
t_modinv = list(map(lambda v: pow(v, mod-2, mod), t_mod))
def comb(n, r):
return t_mod[n] * t_modinv[r] * t_modinv[n-r] % mod
ans = comb(h-a-1+b, b) * comb(a+w-1-b, a) % mod
for i in range(1, w-b):
ans += (comb(h-a-1+b+i, b+i) - comb(h-a-1+b+i-1, b+i-1)) * comb(a+w-1-b-i, a) % mod
print(ans % mod) |
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[
630,
2
],
[
16,
13
],
[
20,
14
],
[
22,
15
],
[
22,
17
],
[
631,
18
],
[
20,
20
],
[
22,
22
],
[
32,
29
],
[
32,
32
],
[
35,
34
],
[
24,
35
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[
63,
42
],
[
61,
48
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[
63,
51
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[
61,
57
],
[
63,
59
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[
61,
61
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[
63,
63
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[
91,
70
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[
89,
76
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[
91,
79
],
[
89,
85
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[
91,
87
],
[
89,
89
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[
91,
91
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[
119,
98
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[
117,
104
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[
119,
107
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[
117,
113
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[
119,
115
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[
117,
117
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[
119,
119
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159,
126
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157,
132
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159,
137
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631,
140
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631,
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157,
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159,
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157,
157
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159,
159
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191,
166
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189,
173
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191,
176
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631,
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189,
184
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191,
186
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631,
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189,
189
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191,
191
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194,
193
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37,
194
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222,
201
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222,
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220,
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222,
215
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220,
217
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220,
220
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222,
222
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225,
224
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93,
225
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265,
232
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265,
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263,
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631,
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631,
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265,
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263,
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631,
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631,
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263,
263
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265,
265
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297,
272
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297,
279
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295,
282
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284
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297,
289
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295,
291
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631,
293
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295,
295
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297,
297
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302,
301
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318,
306
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310,
309
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322,
312
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309,
312
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301,
313
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320,
314
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309,
316
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322,
316
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318,
318
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320,
320
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323,
322
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371,
328
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371,
333
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369,
342
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369,
343
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373,
344
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371,
346
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373,
348
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373,
349
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[
371,
353
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[
369,
359
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[
369,
362
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[
371,
364
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[
373,
366
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[
373,
367
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[
369,
369
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[
371,
371
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[
373,
373
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[
378,
377
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[
637,
379
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[
417,
380
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[
421,
381
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[
384,
383
],
[
637,
385
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[
419,
386
],
[
421,
387
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[
390,
389
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[
637,
391
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[
417,
393
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[
419,
394
],
[
421,
395
],
[
377,
400
],
[
607,
402
],
[
383,
403
],
[
421,
405
],
[
421,
407
],
[
607,
409
],
[
389,
410
],
[
421,
412
],
[
421,
414
],
[
421,
415
],
[
417,
417
],
[
419,
419
],
[
421,
421
],
[
639,
423
],
[
639,
432
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[
639,
433
],
[
639,
434
],
[
618,
436
],
[
633,
441
],
[
600,
448
],
[
616,
450
],
[
640,
451
],
[
455,
454
],
[
604,
458
],
[
598,
459
],
[
627,
465
],
[
470,
469
],
[
604,
473
],
[
598,
474
],
[
609,
480
],
[
486,
483
],
[
628,
484
],
[
625,
489
],
[
601,
492
],
[
598,
493
],
[
598,
495
],
[
634,
496
],
[
501,
498
],
[
610,
499
],
[
625,
502
],
[
640,
504
],
[
634,
507
],
[
510,
509
],
[
604,
514
],
[
598,
515
],
[
520,
517
],
[
628,
518
],
[
509,
519
],
[
628,
523
],
[
509,
525
],
[
601,
532
],
[
598,
533
],
[
509,
534
],
[
598,
539
],
[
509,
540
],
[
545,
542
],
[
610,
543
],
[
509,
544
],
[
610,
548
],
[
509,
550
],
[
640,
556
],
[
509,
557
],
[
509,
561
],
[
610,
564
],
[
568,
567
],
[
598,
571
],
[
604,
574
],
[
621,
577
],
[
628,
580
],
[
567,
583
],
[
598,
584
],
[
610,
587
],
[
567,
590
],
[
598,
591
],
[
622,
595
],
[
619,
595
],
[
639,
598
],
[
600,
601
],
[
639,
604
],
[
609,
610
],
[
639,
616
],
[
618,
619
],
[
621,
622
],
[
627,
628
],
[
630,
631
],
[
633,
634
],
[
639,
640
]
] | [
"MOD=10**9+7\nclass ModInt:\n def __init__(self, x):\n self.x = x % MOD\n\n def __str__(self):\n return str(self.x)\n\n __repr__ = __str__\n\n def __add__(self, other):\n return (\n ModInt(self.x + other.x) if isinstance(other, ModInt) else\n ModInt(self.x + other)\n )\n\n def __sub__(self, other):\n return (\n ModInt(self.x - other.x) if isinstance(other, ModInt) else\n ModInt(self.x - other)\n )\n\n def __mul__(self, other):\n return (\n ModInt(self.x * other.x) if isinstance(other, ModInt) else\n ModInt(self.x * other)\n )\n\n def __truediv__(self, other):\n return (\n ModInt(\n self.x * pow(other.x, MOD - 2, MOD)\n ) if isinstance(other, ModInt) else\n ModInt(self.x * pow(other, MOD - 2, MOD))\n )\n\n def __pow__(self, other):\n return (\n ModInt(pow(self.x, other.x, MOD)) if isinstance(other, ModInt) else\n ModInt(pow(self.x, other, MOD))\n )\n\n __radd__ = __add__\n\n def __rsub__(self, other):\n return (\n ModInt(other.x - self.x) if isinstance(other, ModInt) else\n ModInt(other - self.x)\n )\n\n __rmul__ = __mul__\n\n def __rtruediv__(self, other):\n return (\n ModInt(\n other.x * pow(self.x, MOD - 2, MOD)\n ) if isinstance(other, ModInt) else\n ModInt(other * pow(self.x, MOD - 2, MOD))\n )\n\n def __rpow__(self, other):\n return (\n ModInt(pow(other.x, self.x, MOD)) if isinstance(other, ModInt) else\n ModInt(pow(other, self.x, MOD))\n )\ndef framod(n, mod, a=1):\n for i in range(1,n+1):\n a=a * i % mod\n return a\n\ndef pow(n, r, mod):\n if r == 0: return 1\n if r%2 == 0:\n return pow(n*n % mod, r//2, mod) % mod\n if r%2 == 1:\n return n * pow(n, r-1, mod) % mod\n\ndef com(n, k, mod):\n a=framod(n, mod)\n b=framod(k, mod)\n c=framod(n-k, mod)\n return (a * pow(b, mod-2, mod) * pow(c, mod-2, mod)) % mod\nh,w,a,b=map(int,input().split())\nans=ModInt(0)\nmod=10**9+7\nk=h-a\ncom1=[ModInt(0) for i in range(w-b)]\ncom2=[ModInt(0) for i in range(w-b)]\ncom1[0]=ModInt(com(k+b-1,b,mod))\ncom2[0]=com(a-1,0,mod)\nfor i in range(1,w-b):\n com1[i]=com1[i-1]*ModInt(k+b+i-1)/ModInt(b+i)\n com2[i]=com2[i-1]*ModInt(a+i-1)/ModInt(i)\n# print(com1)\ncom2.reverse()\n# print(com2)\nfor i in range(b+1,w+1):\n ans+=com1[i-b-1]*com2[i-b-1]\n # print(com1[i-b-1],com2[i-b-1])\n # print(com(k+i-2,i-1,mod),com(a+w-i-1,w-i,mod))\nprint(ans)",
"MOD=10**9+7",
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"7",
"class ModInt:\n def __init__(self, x):\n self.x = x % MOD\n\n def __str__(self):\n return str(self.x)\n\n __repr__ = __str__\n\n def __add__(self, other):\n return (\n ModInt(self.x + other.x) if isinstance(other, ModInt) else\n ModInt(self.x + other)\n )\n\n def __sub__(self, other):\n return (\n ModInt(self.x - other.x) if isinstance(other, ModInt) else\n ModInt(self.x - other)\n )\n\n def __mul__(self, other):\n return (\n ModInt(self.x * other.x) if isinstance(other, ModInt) else\n ModInt(self.x * other)\n )\n\n def __truediv__(self, other):\n return (\n ModInt(\n self.x * pow(other.x, MOD - 2, MOD)\n ) if isinstance(other, ModInt) else\n ModInt(self.x * pow(other, MOD - 2, MOD))\n )\n\n def __pow__(self, other):\n return (\n ModInt(pow(self.x, other.x, MOD)) if isinstance(other, ModInt) else\n ModInt(pow(self.x, other, MOD))\n )\n\n __radd__ = __add__\n\n def __rsub__(self, other):\n return (\n ModInt(other.x - self.x) if isinstance(other, ModInt) else\n ModInt(other - self.x)\n )\n\n __rmul__ = __mul__\n\n def __rtruediv__(self, other):\n return (\n ModInt(\n other.x * pow(self.x, MOD - 2, MOD)\n ) if isinstance(other, ModInt) else\n ModInt(other * pow(self.x, MOD - 2, MOD))\n )\n\n def __rpow__(self, other):\n return (\n ModInt(pow(other.x, self.x, MOD)) if isinstance(other, ModInt) else\n ModInt(pow(other, self.x, MOD))\n )",
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"__truediv__",
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"__rtruediv__",
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"__rpow__",
"return (\n ModInt(pow(other.x, self.x, MOD)) if isinstance(other, ModInt) else\n ModInt(pow(other, self.x, MOD))\n )",
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"def pow(n, r, mod):\n if r == 0: return 1\n if r%2 == 0:\n return pow(n*n % mod, r//2, mod) % mod\n if r%2 == 1:\n return n * pow(n, r-1, mod) % mod",
"def pow(n, r, mod):\n if r == 0: return 1\n if r%2 == 0:\n return pow(n*n % mod, r//2, mod) % mod\n if r%2 == 1:\n return n * pow(n, r-1, mod) % mod",
"pow",
"com2=[ModInt(0) for i in range(w-b)]",
"[ModInt(0) for i in range(w-b)]",
"com2",
"class ModInt:\n def __init__(self, x):\n self.x = x % MOD\n\n def __str__(self):\n return str(self.x)\n\n __repr__ = __str__\n\n def __add__(self, other):\n return (\n ModInt(self.x + other.x) if isinstance(other, ModInt) else\n ModInt(self.x + other)\n )\n\n def __sub__(self, other):\n return (\n ModInt(self.x - other.x) if isinstance(other, ModInt) else\n ModInt(self.x - other)\n )\n\n def __mul__(self, other):\n return (\n ModInt(self.x * other.x) if isinstance(other, ModInt) else\n ModInt(self.x * other)\n )\n\n def __truediv__(self, other):\n return (\n ModInt(\n self.x * pow(other.x, MOD - 2, MOD)\n ) if isinstance(other, ModInt) else\n ModInt(self.x * pow(other, MOD - 2, MOD))\n )\n\n def __pow__(self, other):\n return (\n ModInt(pow(self.x, other.x, MOD)) if isinstance(other, ModInt) else\n ModInt(pow(self.x, other, MOD))\n )\n\n __radd__ = __add__\n\n def __rsub__(self, other):\n return (\n ModInt(other.x - self.x) if isinstance(other, ModInt) else\n ModInt(other - self.x)\n )\n\n __rmul__ = __mul__\n\n def __rtruediv__(self, other):\n return (\n ModInt(\n other.x * pow(self.x, MOD - 2, MOD)\n ) if isinstance(other, ModInt) else\n ModInt(other * pow(self.x, MOD - 2, MOD))\n )\n\n def __rpow__(self, other):\n return (\n ModInt(pow(other.x, self.x, MOD)) if isinstance(other, ModInt) else\n ModInt(pow(other, self.x, MOD))\n )",
"class ModInt:\n def __init__(self, x):\n self.x = x % MOD\n\n def __str__(self):\n return str(self.x)\n\n __repr__ = __str__\n\n def __add__(self, other):\n return (\n ModInt(self.x + other.x) if isinstance(other, ModInt) else\n ModInt(self.x + other)\n )\n\n def __sub__(self, other):\n return (\n ModInt(self.x - other.x) if isinstance(other, ModInt) else\n ModInt(self.x - other)\n )\n\n def __mul__(self, other):\n return (\n ModInt(self.x * other.x) if isinstance(other, ModInt) else\n ModInt(self.x * other)\n )\n\n def __truediv__(self, other):\n return (\n ModInt(\n self.x * pow(other.x, MOD - 2, MOD)\n ) if isinstance(other, ModInt) else\n ModInt(self.x * pow(other, MOD - 2, MOD))\n )\n\n def __pow__(self, other):\n return (\n ModInt(pow(self.x, other.x, MOD)) if isinstance(other, ModInt) else\n ModInt(pow(self.x, other, MOD))\n )\n\n __radd__ = __add__\n\n def __rsub__(self, other):\n return (\n ModInt(other.x - self.x) if isinstance(other, ModInt) else\n ModInt(other - self.x)\n )\n\n __rmul__ = __mul__\n\n def __rtruediv__(self, other):\n return (\n ModInt(\n other.x * pow(self.x, MOD - 2, MOD)\n ) if isinstance(other, ModInt) else\n ModInt(other * pow(self.x, MOD - 2, MOD))\n )\n\n def __rpow__(self, other):\n return (\n ModInt(pow(other.x, self.x, MOD)) if isinstance(other, ModInt) else\n ModInt(pow(other, self.x, MOD))\n )",
"ModInt",
"h,w,a,b=map(int,input().split())",
"map(int,input().split())",
"h",
"ans=ModInt(0)",
"ModInt(0)",
"ans",
"ans+=com1[i-b-1]*com2[i-b-1]",
"com1[i-b-1]*com2[i-b-1]",
"ans",
"def com(n, k, mod):\n a=framod(n, mod)\n b=framod(k, mod)\n c=framod(n-k, mod)\n return (a * pow(b, mod-2, mod) * pow(c, mod-2, mod)) % mod",
"def com(n, k, mod):\n a=framod(n, mod)\n b=framod(k, mod)\n c=framod(n-k, mod)\n return (a * pow(b, mod-2, mod) * pow(c, mod-2, mod)) % mod",
"com",
"com1=[ModInt(0) for i in range(w-b)]",
"[ModInt(0) for i in range(w-b)]",
"com1",
"MOD=10**9+7",
"10**9+7",
"MOD",
"mod=10**9+7",
"10**9+7",
"mod",
"def framod(n, mod, a=1):\n for i in range(1,n+1):\n a=a * i % mod\n return a",
"def framod(n, mod, a=1):\n for i in range(1,n+1):\n a=a * i % mod\n return a",
"framod",
"a,b=map(int,input().split())",
"map(int,input().split())",
"a"
] | MOD=10**9+7
class ModInt:
def __init__(self, x):
self.x = x % MOD
def __str__(self):
return str(self.x)
__repr__ = __str__
def __add__(self, other):
return (
ModInt(self.x + other.x) if isinstance(other, ModInt) else
ModInt(self.x + other)
)
def __sub__(self, other):
return (
ModInt(self.x - other.x) if isinstance(other, ModInt) else
ModInt(self.x - other)
)
def __mul__(self, other):
return (
ModInt(self.x * other.x) if isinstance(other, ModInt) else
ModInt(self.x * other)
)
def __truediv__(self, other):
return (
ModInt(
self.x * pow(other.x, MOD - 2, MOD)
) if isinstance(other, ModInt) else
ModInt(self.x * pow(other, MOD - 2, MOD))
)
def __pow__(self, other):
return (
ModInt(pow(self.x, other.x, MOD)) if isinstance(other, ModInt) else
ModInt(pow(self.x, other, MOD))
)
__radd__ = __add__
def __rsub__(self, other):
return (
ModInt(other.x - self.x) if isinstance(other, ModInt) else
ModInt(other - self.x)
)
__rmul__ = __mul__
def __rtruediv__(self, other):
return (
ModInt(
other.x * pow(self.x, MOD - 2, MOD)
) if isinstance(other, ModInt) else
ModInt(other * pow(self.x, MOD - 2, MOD))
)
def __rpow__(self, other):
return (
ModInt(pow(other.x, self.x, MOD)) if isinstance(other, ModInt) else
ModInt(pow(other, self.x, MOD))
)
def framod(n, mod, a=1):
for i in range(1,n+1):
a=a * i % mod
return a
def pow(n, r, mod):
if r == 0: return 1
if r%2 == 0:
return pow(n*n % mod, r//2, mod) % mod
if r%2 == 1:
return n * pow(n, r-1, mod) % mod
def com(n, k, mod):
a=framod(n, mod)
b=framod(k, mod)
c=framod(n-k, mod)
return (a * pow(b, mod-2, mod) * pow(c, mod-2, mod)) % mod
h,w,a,b=map(int,input().split())
ans=ModInt(0)
mod=10**9+7
k=h-a
com1=[ModInt(0) for i in range(w-b)]
com2=[ModInt(0) for i in range(w-b)]
com1[0]=ModInt(com(k+b-1,b,mod))
com2[0]=com(a-1,0,mod)
for i in range(1,w-b):
com1[i]=com1[i-1]*ModInt(k+b+i-1)/ModInt(b+i)
com2[i]=com2[i-1]*ModInt(a+i-1)/ModInt(i)
# print(com1)
com2.reverse()
# print(com2)
for i in range(b+1,w+1):
ans+=com1[i-b-1]*com2[i-b-1]
# print(com1[i-b-1],com2[i-b-1])
# print(com(k+i-2,i-1,mod),com(a+w-i-1,w-i,mod))
print(ans) |
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22,
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244,
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31,
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35,
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256,
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44,
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48,
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316,
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57,
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61,
60
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322,
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70,
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294,
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294,
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294,
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307,
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280,
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265,
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307,
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253,
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318,
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271,
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307,
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280,
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273,
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307,
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241,
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280,
176
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154,
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253,
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154,
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271,
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285,
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271,
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189,
188
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241,
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295,
197
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265,
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277,
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246,
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286,
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274,
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319,
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292,
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298,
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289,
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309,
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241,
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280,
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301,
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253,
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280,
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301,
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253,
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307,
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313,
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271,
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288,
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286,
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319,
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298,
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250,
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252,
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270,
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294,
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282,
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271,
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285,
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271,
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288,
289
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291,
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294,
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300,
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306,
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271,
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] | [
"#!usr/bin/env python3\nfrom collections import defaultdict\nfrom heapq import heappush, heappop\nimport sys\nimport math\nimport bisect\nimport random\ndef LI(): return list(map(int, sys.stdin.readline().split()))\ndef I(): return int(sys.stdin.readline())\ndef LS(): return list(map(list, sys.stdin.readline().split()))\ndef S(): return list(sys.stdin.readline())[:-1]\ndef IR(n): return [I() for i in range(n)]\ndef LIR(n): return [LI() for i in range(n)]\ndef SR(n): return [S() for i in range(n)]\ndef LSR(n): return [LS() for i in range(n)]\nmod = 1000000007\n\n\n#A\n\"\"\"\ndef check(n):\n n = list(map(int,list(str(n))))\n s = 0\n for i in n:\n s += f[i]\n return s == 0\nn,k = LI()\nd = LI()\nf = [0 for i in range(10)]\nfor i in d:\n f[i] = 1\nwhile 1:\n if check(n):\n print(n)\n quit()\n n += 1\n\"\"\"\n#B\nh,w,a,b = LI()\nans = 0\nk = 1\ninv = [pow(i,mod-2,mod) for i in range(h+w+1)]\nx = b+1\ny = a+1\nfor i in range(min(x-1,h-y)):\n k *= (x-1+h-y-i)*inv[i+1]%mod\n k %= mod\nfor i in range(min(y-1,w-x)):\n k *= (y-1+w-x-i)*inv[i+1]%mod\n k %= mod\nfor i in range(1,min(w-b,h-a)+1):\n ans += k\n ans %= mod\n k *= (h-y)*(w-x)*inv[x]*inv[y]%mod\n k %= mod\n x += 1\n y += 1\nprint(ans)\n#C\n\n#D\n\n#E\n\n#F\n\n#G\n\n#H\n\n#I\n\n#J\n\n#K\n\n#L\n\n#M\n\n#N\n\n#O\n\n#P\n\n#Q\n\n#R\n\n#S\n\n#T",
"from collections import defaultdict",
"from heapq import heappush, heappop",
"import sys",
"sys",
"import math",
"math",
"import bisect",
"bisect",
"import random",
"random",
"def LI(): return list(map(int, sys.stdin.readline().split()))",
"LI",
"def I(): return int(sys.stdin.readline())",
"I",
"def LS(): return list(map(list, sys.stdin.readline().split()))",
"LS",
"def S(): return list(sys.stdin.readline())[:-1]",
"S",
"I() for i in range(n)",
"for i in range(n)",
"i",
"range(n)",
"range",
"n",
"for i in range(n)",
"I()",
"I",
"def IR(n): return [I() for i in range(n)]",
"IR",
"n",
"n",
"LI() for i in range(n)",
"for i in range(n)",
"i",
"range(n)",
"range",
"n",
"for i in range(n)",
"LI()",
"LI",
"def LIR(n): return [LI() for i in range(n)]",
"LIR",
"n",
"n",
"S() for i in range(n)",
"for i in range(n)",
"i",
"range(n)",
"range",
"n",
"for i in range(n)",
"S()",
"S",
"def SR(n): return [S() for i in range(n)]",
"SR",
"n",
"n",
"LS() for i in range(n)",
"for i in range(n)",
"i",
"range(n)",
"range",
"n",
"for i in range(n)",
"LS()",
"LS",
"def LSR(n): return [LS() for i in range(n)]",
"LSR",
"n",
"n",
"mod = 1000000007",
"mod",
"1000000007",
"\"\"\"\ndef check(n):\n n = list(map(int,list(str(n))))\n s = 0\n for i in n:\n s += f[i]\n return s == 0\nn,k = LI()\nd = LI()\nf = [0 for i in range(10)]\nfor i in d:\n f[i] = 1\nwhile 1:\n if check(n):\n print(n)\n quit()\n n += 1\n\"\"\"",
"h,w,a,b = LI()",
"h",
"LI()",
"LI",
"w",
"a",
"b",
"ans = 0",
"ans",
"0",
"k = 1",
"k",
"1",
"pow(i,mod-2,mod) for i in range(h+w+1)",
"for i in range(h+w+1)",
"i",
"range(h+w+1)",
"range",
"h+w+1",
"h+w",
"h",
"w",
"1",
"for i in range(h+w+1)",
"pow(i,mod-2,mod)",
"pow",
"i",
"mod-2",
"mod",
"2",
"mod",
"inv = [pow(i,mod-2,mod) for i in range(h+w+1)]",
"inv",
"[pow(i,mod-2,mod) for i in range(h+w+1)]",
"x = b+1",
"x",
"b+1",
"b",
"1",
"y = a+1",
"y",
"a+1",
"a",
"1",
"for i in range(min(x-1,h-y)):\n k *= (x-1+h-y-i)*inv[i+1]%mod\n k %= mod",
"i",
"range(min(x-1,h-y))",
"range",
"min(x-1,h-y)",
"min",
"x-1",
"x",
"1",
"h-y",
"h",
"y",
"k *= (x-1+h-y-i)*inv[i+1]%mod",
"k",
"(x-1+h-y-i)*inv[i+1]%mod",
"(x-1+h-y-i)*inv[i+1]",
"x-1+h-y-i",
"x-1+h-y",
"x-1+h",
"x-1",
"x",
"1",
"h",
"y",
"i",
"inv[i+1]",
"inv",
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"i",
"1",
"mod",
"k %= mod",
"k",
"mod",
"for i in range(min(y-1,w-x)):\n k *= (y-1+w-x-i)*inv[i+1]%mod\n k %= mod",
"i",
"range(min(y-1,w-x))",
"range",
"min(y-1,w-x)",
"min",
"y-1",
"y",
"1",
"w-x",
"w",
"x",
"k *= (y-1+w-x-i)*inv[i+1]%mod",
"k",
"(y-1+w-x-i)*inv[i+1]%mod",
"(y-1+w-x-i)*inv[i+1]",
"y-1+w-x-i",
"y-1+w-x",
"y-1+w",
"y-1",
"y",
"1",
"w",
"x",
"i",
"inv[i+1]",
"inv",
"i+1",
"i",
"1",
"mod",
"k %= mod",
"k",
"mod",
"for i in range(1,min(w-b,h-a)+1):\n ans += k\n ans %= mod\n k *= (h-y)*(w-x)*inv[x]*inv[y]%mod\n k %= mod\n x += 1\n y += 1",
"i",
"range(1,min(w-b,h-a)+1)",
"range",
"1",
"min(w-b,h-a)+1",
"min(w-b,h-a)",
"min",
"w-b",
"w",
"b",
"h-a",
"h",
"a",
"1",
"ans += k",
"ans",
"k",
"ans %= mod",
"ans",
"mod",
"k *= (h-y)*(w-x)*inv[x]*inv[y]%mod",
"k",
"(h-y)*(w-x)*inv[x]*inv[y]%mod",
"(h-y)*(w-x)*inv[x]*inv[y]",
"(h-y)*(w-x)*inv[x]",
"(h-y)*(w-x)",
"h-y",
"h",
"y",
"w-x",
"w",
"x",
"inv[x]",
"inv",
"x",
"inv[y]",
"inv",
"y",
"mod",
"k %= mod",
"k",
"mod",
"x += 1",
"x",
"1",
"y += 1",
"y",
"1",
"print(ans)",
"print",
"ans",
"w,a,b = LI()",
"LI()",
"w",
"def I(): return int(sys.stdin.readline())",
"def I(): return int(sys.stdin.readline())",
"I",
"ans += k",
"k",
"ans",
"k *= (h-y)*(w-x)*inv[x]*inv[y]%mod",
"(h-y)*(w-x)*inv[x]*inv[y]%mod",
"k",
"inv = [pow(i,mod-2,mod) for i in range(h+w+1)]",
"[pow(i,mod-2,mod) for i in range(h+w+1)]",
"inv",
"def LI(): return list(map(int, sys.stdin.readline().split()))",
"def LI(): return list(map(int, sys.stdin.readline().split()))",
"LI",
"def LSR(n): return [LS() for i in range(n)]",
"def LSR(n): return [LS() for i in range(n)]",
"LSR",
"def SR(n): return [S() for i in range(n)]",
"def SR(n): return [S() for i in range(n)]",
"SR",
"h,w,a,b = LI()",
"LI()",
"h",
"def LIR(n): return [LI() for i in range(n)]",
"def LIR(n): return [LI() for i in range(n)]",
"LIR",
"mod = 1000000007",
"1000000007",
"mod",
"k *= (y-1+w-x-i)*inv[i+1]%mod",
"(y-1+w-x-i)*inv[i+1]%mod",
"k",
"a,b = LI()",
"LI()",
"a",
"x = b+1",
"b+1",
"x",
"ans = 0",
"0",
"ans",
"k %= mod",
"mod",
"k",
"k %= mod",
"mod",
"k",
"k *= (x-1+h-y-i)*inv[i+1]%mod",
"(x-1+h-y-i)*inv[i+1]%mod",
"k",
"b = LI()",
"LI()",
"b",
"k = 1",
"1",
"k",
"x += 1",
"1",
"x",
"def IR(n): return [I() for i in range(n)]",
"def IR(n): return [I() for i in range(n)]",
"IR",
"y = a+1",
"a+1",
"y",
"ans %= mod",
"mod",
"ans",
"y += 1",
"1",
"y",
"def S(): return list(sys.stdin.readline())[:-1]",
"def S(): return list(sys.stdin.readline())[:-1]",
"S",
"k %= mod",
"mod",
"k",
"def LS(): return list(map(list, sys.stdin.readline().split()))",
"def LS(): return list(map(list, sys.stdin.readline().split()))",
"LS"
] | #!usr/bin/env python3
from collections import defaultdict
from heapq import heappush, heappop
import sys
import math
import bisect
import random
def LI(): return list(map(int, sys.stdin.readline().split()))
def I(): return int(sys.stdin.readline())
def LS(): return list(map(list, sys.stdin.readline().split()))
def S(): return list(sys.stdin.readline())[:-1]
def IR(n): return [I() for i in range(n)]
def LIR(n): return [LI() for i in range(n)]
def SR(n): return [S() for i in range(n)]
def LSR(n): return [LS() for i in range(n)]
mod = 1000000007
#A
"""
def check(n):
n = list(map(int,list(str(n))))
s = 0
for i in n:
s += f[i]
return s == 0
n,k = LI()
d = LI()
f = [0 for i in range(10)]
for i in d:
f[i] = 1
while 1:
if check(n):
print(n)
quit()
n += 1
"""
#B
h,w,a,b = LI()
ans = 0
k = 1
inv = [pow(i,mod-2,mod) for i in range(h+w+1)]
x = b+1
y = a+1
for i in range(min(x-1,h-y)):
k *= (x-1+h-y-i)*inv[i+1]%mod
k %= mod
for i in range(min(y-1,w-x)):
k *= (y-1+w-x-i)*inv[i+1]%mod
k %= mod
for i in range(1,min(w-b,h-a)+1):
ans += k
ans %= mod
k *= (h-y)*(w-x)*inv[x]*inv[y]%mod
k %= mod
x += 1
y += 1
print(ans)
#C
#D
#E
#F
#G
#H
#I
#J
#K
#L
#M
#N
#O
#P
#Q
#R
#S
#T
|
[
7,
0,
13,
2,
2,
17,
17,
17,
0,
13,
4,
13,
13,
4,
18,
4,
13,
13,
13,
13,
13,
0,
13,
2,
2,
13,
13,
17,
0,
13,
17,
0,
13,
2,
39,
17,
2,
13,
17,
0,
13,
2,
39,
17,
2,
13,
17,
28,
13,
4,
13,
17,
2,
13,
17,
0,
18,
13,
13,
2,
2,
13,
18,
13,
2,
13,
17,
13,
28,
13,
4,
13,
17,
2,
13,
17,
0,
18,
13,
13,
4,
13,
18,
13,
13,
2,
13,
17,
13,
12,
13,
0,
13,
2,
2,
2,
18,
13,
2,
13,
13,
18,
13,
13,
18,
13,
13,
13,
29,
13,
23,
13,
23,
13,
28,
13,
4,
13,
13,
13,
0,
13,
2,
4,
13,
13,
2,
2,
13,
13,
17,
4,
13,
2,
2,
13,
17,
13,
2,
13,
17,
0,
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4,
13,
13,
10,
2,
13,
10,
4,
13,
10,
2,
13,
10,
4,
13,
10,
2,
13,
10,
4,
13,
10,
2,
13,
10,
13,
13,
10,
17,
13,
10,
2,
13,
10,
12,
13,
10,
4,
13
] | [
[
154,
2
],
[
181,
9
],
[
181,
18
],
[
181,
19
],
[
181,
20
],
[
166,
22
],
[
152,
25
],
[
158,
26
],
[
172,
29
],
[
175,
32
],
[
167,
37
],
[
148,
40
],
[
167,
45
],
[
49,
48
],
[
167,
53
],
[
59,
56
],
[
176,
57
],
[
48,
58
],
[
48,
61
],
[
176,
63
],
[
48,
65
],
[
155,
67
],
[
70,
69
],
[
167,
74
],
[
80,
77
],
[
149,
78
],
[
69,
79
],
[
56,
82
],
[
176,
83
],
[
69,
84
],
[
155,
86
],
[
155,
88
],
[
93,
92
],
[
176,
97
],
[
111,
99
],
[
113,
100
],
[
149,
102
],
[
111,
103
],
[
149,
105
],
[
113,
106
],
[
155,
107
],
[
92,
109
],
[
111,
111
],
[
113,
113
],
[
116,
115
],
[
182,
118
],
[
158,
119
],
[
160,
121
],
[
179,
124
],
[
115,
125
],
[
152,
128
],
[
164,
129
],
[
179,
132
],
[
158,
135
],
[
115,
137
],
[
164,
139
],
[
169,
142
],
[
155,
143
],
[
170,
146
],
[
161,
146
],
[
173,
146
],
[
148,
149
],
[
181,
152
],
[
154,
155
],
[
181,
158
],
[
160,
161
],
[
181,
164
],
[
166,
167
],
[
155,
169
],
[
169,
170
],
[
172,
173
],
[
175,
176
],
[
181,
182
]
] | [
"mod = 10**9+7\nh, w, a, b = map(int, input().split())\n\nn = h+w-2\n\nans = 0\nfac = [1]*(n+1)\ninv = [1]*(n+1)\n\nfor i in range(1, n+1):\n fac[i] = i*fac[i-1] % mod\n\nfor i in range(1, n+1):\n inv[i] = pow(fac[i], mod-2, mod)\n\ndef func(x, y):\n m = fac[x+y]*inv[x]*inv[y]%mod\n return m\n\nfor x in range(b, w):\n ans += func(x, h-a-1)*func(w-1-x, a-1)\n ans %= mod\n\nprint(ans)",
"mod = 10**9+7",
"mod",
"10**9+7",
"10**9",
"10",
"9",
"7",
"h, w, a, b = map(int, input().split())",
"h",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"w",
"a",
"b",
"n = h+w-2",
"n",
"h+w-2",
"h+w",
"h",
"w",
"2",
"ans = 0",
"ans",
"0",
"fac = [1]*(n+1)",
"fac",
"[1]*(n+1)",
"[1]",
"1",
"n+1",
"n",
"1",
"inv = [1]*(n+1)",
"inv",
"[1]*(n+1)",
"[1]",
"1",
"n+1",
"n",
"1",
"for i in range(1, n+1):\n fac[i] = i*fac[i-1] % mod",
"i",
"range(1, n+1)",
"range",
"1",
"n+1",
"n",
"1",
"fac[i] = i*fac[i-1] % mod",
"fac[i]",
"fac",
"i",
"i*fac[i-1] % mod",
"i*fac[i-1]",
"i",
"fac[i-1]",
"fac",
"i-1",
"i",
"1",
"mod",
"for i in range(1, n+1):\n inv[i] = pow(fac[i], mod-2, mod)",
"i",
"range(1, n+1)",
"range",
"1",
"n+1",
"n",
"1",
"inv[i] = pow(fac[i], mod-2, mod)",
"inv[i]",
"inv",
"i",
"pow(fac[i], mod-2, mod)",
"pow",
"fac[i]",
"fac",
"i",
"mod-2",
"mod",
"2",
"mod",
"def func(x, y):\n m = fac[x+y]*inv[x]*inv[y]%mod\n return m",
"func",
"m = fac[x+y]*inv[x]*inv[y]%mod",
"m",
"fac[x+y]*inv[x]*inv[y]%mod",
"fac[x+y]*inv[x]*inv[y]",
"fac[x+y]*inv[x]",
"fac[x+y]",
"fac",
"x+y",
"x",
"y",
"inv[x]",
"inv",
"x",
"inv[y]",
"inv",
"y",
"mod",
"return m",
"m",
"x",
"x",
"y",
"y",
"for x in range(b, w):\n ans += func(x, h-a-1)*func(w-1-x, a-1)\n ans %= mod",
"x",
"range(b, w)",
"range",
"b",
"w",
"ans += func(x, h-a-1)*func(w-1-x, a-1)",
"ans",
"func(x, h-a-1)*func(w-1-x, a-1)",
"func(x, h-a-1)",
"func",
"x",
"h-a-1",
"h-a",
"h",
"a",
"1",
"func(w-1-x, a-1)",
"func",
"w-1-x",
"w-1",
"w",
"1",
"x",
"a-1",
"a",
"1",
"ans %= mod",
"ans",
"mod",
"print(ans)",
"print",
"ans",
"inv = [1]*(n+1)",
"[1]*(n+1)",
"inv",
"h, w, a, b = map(int, input().split())",
"map(int, input().split())",
"h",
"mod = 10**9+7",
"10**9+7",
"mod",
"w, a, b = map(int, input().split())",
"map(int, input().split())",
"w",
"ans += func(x, h-a-1)*func(w-1-x, a-1)",
"func(x, h-a-1)*func(w-1-x, a-1)",
"ans",
"a, b = map(int, input().split())",
"map(int, input().split())",
"a",
"n = h+w-2",
"h+w-2",
"n",
"ans %= mod",
"mod",
"ans",
"ans = 0",
"0",
"ans",
"fac = [1]*(n+1)",
"[1]*(n+1)",
"fac",
"def func(x, y):\n m = fac[x+y]*inv[x]*inv[y]%mod\n return m",
"def func(x, y):\n m = fac[x+y]*inv[x]*inv[y]%mod\n return m",
"func",
"b = map(int, input().split())",
"map(int, input().split())",
"b"
] | mod = 10**9+7
h, w, a, b = map(int, input().split())
n = h+w-2
ans = 0
fac = [1]*(n+1)
inv = [1]*(n+1)
for i in range(1, n+1):
fac[i] = i*fac[i-1] % mod
for i in range(1, n+1):
inv[i] = pow(fac[i], mod-2, mod)
def func(x, y):
m = fac[x+y]*inv[x]*inv[y]%mod
return m
for x in range(b, w):
ans += func(x, h-a-1)*func(w-1-x, a-1)
ans %= mod
print(ans)
|
[
7,
15,
13,
15,
13,
15,
13,
15,
13,
15,
15,
13,
0,
13,
2,
2,
17,
17,
17,
0,
13,
4,
13,
13,
4,
18,
4,
13,
13,
13,
13,
13,
12,
13,
0,
13,
2,
2,
18,
13,
2,
13,
13,
18,
13,
13,
13,
29,
2,
2,
18,
13,
13,
4,
13,
13,
2,
13,
17,
13,
13,
23,
13,
23,
13,
0,
13,
39,
17,
28,
13,
4,
13,
2,
13,
13,
4,
18,
13,
13,
2,
2,
18,
13,
17,
2,
13,
17,
13,
0,
13,
17,
28,
13,
4,
13,
2,
13,
13,
0,
13,
2,
4,
13,
2,
2,
2,
2,
13,
13,
17,
13,
13,
2,
13,
13,
4,
13,
2,
2,
2,
2,
13,
13,
13,
17,
13,
2,
13,
17,
0,
13,
2,
13,
13,
0,
13,
13,
4,
13,
13,
10,
4,
13,
10,
12,
13,
10,
2,
13,
10,
2,
13,
10,
4,
13,
10,
39,
13,
10,
13,
13,
10,
4,
13,
10,
4,
13,
10,
17,
13,
10,
2,
13
] | [
[
148,
13
],
[
166,
20
],
[
166,
29
],
[
166,
30
],
[
166,
31
],
[
36,
35
],
[
62,
41
],
[
64,
42
],
[
64,
45
],
[
149,
46
],
[
62,
52
],
[
35,
55
],
[
149,
57
],
[
149,
59
],
[
149,
60
],
[
62,
62
],
[
64,
64
],
[
157,
66
],
[
71,
70
],
[
143,
74
],
[
155,
75
],
[
158,
78
],
[
158,
83
],
[
70,
86
],
[
149,
88
],
[
169,
90
],
[
94,
93
],
[
155,
97
],
[
164,
98
],
[
151,
100
],
[
146,
103
],
[
143,
108
],
[
167,
109
],
[
164,
111
],
[
93,
112
],
[
164,
114
],
[
93,
115
],
[
146,
117
],
[
155,
122
],
[
164,
123
],
[
93,
124
],
[
167,
126
],
[
167,
128
],
[
172,
131
],
[
152,
133
],
[
149,
134
],
[
160,
136
],
[
149,
137
],
[
161,
140
],
[
173,
140
],
[
170,
140
],
[
166,
143
],
[
148,
149
],
[
151,
152
],
[
166,
155
],
[
157,
158
],
[
149,
160
],
[
160,
161
],
[
166,
164
],
[
166,
167
],
[
169,
170
],
[
172,
173
]
] | [
"#coding: utf-8\nimport math\nimport heapq\nimport bisect\nimport numpy as np\nfrom collections import Counter, deque\nimport itertools\n#from scipy.misc import comb\n\nMOD = 10**9+7\nH,W,A,B = map(int,input().split())\n\ndef comb(a,b):\n\tp = fac[a-b]*fac[b]%MOD\n\treturn fac[a]*pow(p,MOD-2,MOD)%MOD\n\nfac=[1]\nfor i in range(H+W):\n\tfac.append(fac[-1]*(i+1)%MOD)\n\nans=0\nfor i in range(W-B):\n\tp = comb(H-A-1+B+i,B+i)*comb(W-B-i-2+A,A-1)\n\tans += p%MOD\n\tans %= MOD\n\nprint(ans)",
"import math",
"math",
"import heapq",
"heapq",
"import bisect",
"bisect",
"import numpy as np",
"numpy",
"from collections import Counter, deque",
"import itertools",
"itertools",
"MOD = 10**9+7",
"MOD",
"10**9+7",
"10**9",
"10",
"9",
"7",
"H,W,A,B = map(int,input().split())",
"H",
"map(int,input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"W",
"A",
"B",
"def comb(a,b):\n\tp = fac[a-b]*fac[b]%MOD\n\treturn fac[a]*pow(p,MOD-2,MOD)%MOD",
"comb",
"p = fac[a-b]*fac[b]%MOD",
"p",
"fac[a-b]*fac[b]%MOD",
"fac[a-b]*fac[b]",
"fac[a-b]",
"fac",
"a-b",
"a",
"b",
"fac[b]",
"fac",
"b",
"MOD",
"return fac[a]*pow(p,MOD-2,MOD)%MOD",
"fac[a]*pow(p,MOD-2,MOD)%MOD",
"fac[a]*pow(p,MOD-2,MOD)",
"fac[a]",
"fac",
"a",
"pow(p,MOD-2,MOD)",
"pow",
"p",
"MOD-2",
"MOD",
"2",
"MOD",
"MOD",
"a",
"a",
"b",
"b",
"fac=[1]",
"fac",
"[1]",
"1",
"for i in range(H+W):\n\tfac.append(fac[-1]*(i+1)%MOD)",
"i",
"range(H+W)",
"range",
"H+W",
"H",
"W",
"fac.append(fac[-1]*(i+1)%MOD)",
"fac.append",
"fac",
"append",
"fac[-1]*(i+1)%MOD",
"fac[-1]*(i+1)",
"fac[-1]",
"fac",
"-1",
"i+1",
"i",
"1",
"MOD",
"ans=0",
"ans",
"0",
"for i in range(W-B):\n\tp = comb(H-A-1+B+i,B+i)*comb(W-B-i-2+A,A-1)\n\tans += p%MOD\n\tans %= MOD",
"i",
"range(W-B)",
"range",
"W-B",
"W",
"B",
"p = comb(H-A-1+B+i,B+i)*comb(W-B-i-2+A,A-1)",
"p",
"comb(H-A-1+B+i,B+i)*comb(W-B-i-2+A,A-1)",
"comb(H-A-1+B+i,B+i)",
"comb",
"H-A-1+B+i",
"H-A-1+B",
"H-A-1",
"H-A",
"H",
"A",
"1",
"B",
"i",
"B+i",
"B",
"i",
"comb(W-B-i-2+A,A-1)",
"comb",
"W-B-i-2+A",
"W-B-i-2",
"W-B-i",
"W-B",
"W",
"B",
"i",
"2",
"A",
"A-1",
"A",
"1",
"ans += p%MOD",
"ans",
"p%MOD",
"p",
"MOD",
"ans %= MOD",
"ans",
"MOD",
"print(ans)",
"print",
"ans",
"H,W,A,B = map(int,input().split())",
"map(int,input().split())",
"H",
"def comb(a,b):\n\tp = fac[a-b]*fac[b]%MOD\n\treturn fac[a]*pow(p,MOD-2,MOD)%MOD",
"def comb(a,b):\n\tp = fac[a-b]*fac[b]%MOD\n\treturn fac[a]*pow(p,MOD-2,MOD)%MOD",
"comb",
"MOD = 10**9+7",
"10**9+7",
"MOD",
"p = comb(H-A-1+B+i,B+i)*comb(W-B-i-2+A,A-1)",
"comb(H-A-1+B+i,B+i)*comb(W-B-i-2+A,A-1)",
"p",
"W,A,B = map(int,input().split())",
"map(int,input().split())",
"W",
"fac=[1]",
"[1]",
"fac",
"ans %= MOD",
"MOD",
"ans",
"B = map(int,input().split())",
"map(int,input().split())",
"B",
"A,B = map(int,input().split())",
"map(int,input().split())",
"A",
"ans=0",
"0",
"ans",
"ans += p%MOD",
"p%MOD",
"ans"
] | #coding: utf-8
import math
import heapq
import bisect
import numpy as np
from collections import Counter, deque
import itertools
#from scipy.misc import comb
MOD = 10**9+7
H,W,A,B = map(int,input().split())
def comb(a,b):
p = fac[a-b]*fac[b]%MOD
return fac[a]*pow(p,MOD-2,MOD)%MOD
fac=[1]
for i in range(H+W):
fac.append(fac[-1]*(i+1)%MOD)
ans=0
for i in range(W-B):
p = comb(H-A-1+B+i,B+i)*comb(W-B-i-2+A,A-1)
ans += p%MOD
ans %= MOD
print(ans) |
[
7,
0,
13,
4,
13,
13,
4,
18,
4,
13,
13,
13,
13,
13,
0,
13,
2,
2,
17,
17,
17,
41,
28,
13,
4,
13,
2,
2,
13,
13,
17,
4,
17,
0,
13,
13,
28,
13,
4,
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2,
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0,
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2,
2,
18,
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2,
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41,
28,
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4,
4,
13,
13,
2,
13,
17,
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0,
13,
13,
12,
13,
0,
13,
2,
2,
18,
13,
2,
13,
13,
18,
13,
13,
18,
13,
13,
29,
2,
13,
13,
23,
13,
23,
13,
14,
2,
2,
13,
13,
13,
0,
13,
17,
28,
13,
4,
13,
2,
13,
13,
0,
13,
2,
2,
4,
13,
13,
2,
13,
17,
4,
13,
2,
2,
13,
13,
17,
2,
2,
13,
13,
17,
13,
0,
13,
4,
13,
2,
13,
17,
2,
13,
17,
28,
13,
4,
13,
13,
0,
13,
2,
2,
4,
13,
2,
2,
13,
13,
17,
13,
4,
13,
2,
13,
17,
2,
2,
13,
13,
17,
13,
4,
13,
2,
13,
13,
10,
4,
13,
10,
13,
13,
10,
4,
13,
10,
4,
13,
10,
4,
13,
10,
13,
13,
10,
17,
13,
10,
2,
13,
10,
2,
13,
10,
4,
13,
10,
2,
13,
10,
12,
13
] | [
[
194,
2
],
[
194,
11
],
[
194,
12
],
[
194,
13
],
[
206,
15
],
[
24,
23
],
[
183,
28
],
[
192,
29
],
[
197,
34
],
[
38,
37
],
[
183,
43
],
[
192,
44
],
[
50,
47
],
[
198,
48
],
[
37,
49
],
[
198,
53
],
[
37,
55
],
[
37,
57
],
[
207,
58
],
[
62,
61
],
[
198,
61
],
[
61,
66
],
[
207,
68
],
[
207,
70
],
[
185,
72
],
[
78,
77
],
[
198,
81
],
[
96,
83
],
[
98,
84
],
[
186,
86
],
[
96,
87
],
[
186,
89
],
[
98,
90
],
[
77,
93
],
[
96,
93
],
[
207,
94
],
[
96,
96
],
[
98,
98
],
[
183,
102
],
[
195,
103
],
[
189,
104
],
[
200,
106
],
[
110,
109
],
[
183,
113
],
[
195,
114
],
[
212,
116
],
[
216,
120
],
[
109,
121
],
[
189,
123
],
[
216,
126
],
[
183,
129
],
[
109,
130
],
[
192,
134
],
[
189,
135
],
[
207,
137
],
[
209,
139
],
[
216,
141
],
[
183,
143
],
[
192,
146
],
[
150,
149
],
[
189,
152
],
[
203,
154
],
[
216,
158
],
[
183,
161
],
[
195,
162
],
[
149,
164
],
[
216,
166
],
[
195,
168
],
[
192,
172
],
[
149,
173
],
[
207,
175
],
[
204,
179
],
[
213,
179
],
[
201,
179
],
[
210,
179
],
[
207,
180
],
[
194,
183
],
[
185,
186
],
[
194,
189
],
[
194,
192
],
[
194,
195
],
[
197,
198
],
[
200,
201
],
[
203,
204
],
[
206,
207
],
[
209,
210
],
[
212,
213
]
] | [
"H, W, A, B = map(int, input().split())\np = 10 ** 9 + 7\nF = [1 for i in range(H + W + 1)]\nfor i in range(1, H + W + 1):\n F[i] = F[i - 1] * i % p\nFi = [pow(f, p - 2, p) for f in F]\ndef fac(a, b):\n a = F[a + b] * Fi[a] * Fi[b]\n return a % p\nif H - A < B:\n ans = 0\n for h in range(H - A):\n ans += fac(h, B - 1) * fac(H - h - 1, W - B - 1) % p\nelse:\n ans = fac(H - 1, W- 1)\n for w in range(B):\n ans -= fac(H - A - 1, w) * fac(A - 1, W - w - 1) % p\nprint(ans % p)",
"H, W, A, B = map(int, input().split())",
"H",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
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"10 ** 9",
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"9",
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"for i in range(H + W + 1)",
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"W",
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"1",
"F = [1 for i in range(H + W + 1)]",
"F",
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"for i in range(1, H + W + 1):\n F[i] = F[i - 1] * i % p",
"i",
"range(1, H + W + 1)",
"range",
"1",
"H + W + 1",
"H + W",
"H",
"W",
"1",
"F[i] = F[i - 1] * i % p",
"F[i]",
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"F[i - 1] * i % p",
"F[i - 1] * i",
"F[i - 1]",
"F",
"i - 1",
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"1",
"i",
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"for f in F",
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"F",
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"pow(f, p - 2, p)",
"pow",
"f",
"p - 2",
"p",
"2",
"p",
"Fi = [pow(f, p - 2, p) for f in F]",
"Fi",
"[pow(f, p - 2, p) for f in F]",
"def fac(a, b):\n a = F[a + b] * Fi[a] * Fi[b]\n return a % p",
"fac",
"a = F[a + b] * Fi[a] * Fi[b]",
"a",
"F[a + b] * Fi[a] * Fi[b]",
"F[a + b] * Fi[a]",
"F[a + b]",
"F",
"a + b",
"a",
"b",
"Fi[a]",
"Fi",
"a",
"Fi[b]",
"Fi",
"b",
"return a % p",
"a % p",
"a",
"p",
"a",
"a",
"b",
"b",
"if H - A < B:\n ans = 0\n for h in range(H - A):\n ans += fac(h, B - 1) * fac(H - h - 1, W - B - 1) % p\nelse:\n ans = fac(H - 1, W- 1)\n for w in range(B):\n ans -= fac(H - A - 1, w) * fac(A - 1, W - w - 1) % p",
"H - A < B",
"H - A",
"H",
"A",
"B",
"ans = 0",
"ans",
"0",
"for h in range(H - A):\n ans += fac(h, B - 1) * fac(H - h - 1, W - B - 1) % p",
"h",
"range(H - A)",
"range",
"H - A",
"H",
"A",
"ans += fac(h, B - 1) * fac(H - h - 1, W - B - 1) % p",
"ans",
"fac(h, B - 1) * fac(H - h - 1, W - B - 1) % p",
"fac(h, B - 1) * fac(H - h - 1, W - B - 1)",
"fac(h, B - 1)",
"fac",
"h",
"B - 1",
"B",
"1",
"fac(H - h - 1, W - B - 1)",
"fac",
"H - h - 1",
"H - h",
"H",
"h",
"1",
"W - B - 1",
"W - B",
"W",
"B",
"1",
"p",
"ans = fac(H - 1, W- 1)",
"ans",
"fac(H - 1, W- 1)",
"fac",
"H - 1",
"H",
"1",
"W- 1",
"W",
"1",
"for w in range(B):\n ans -= fac(H - A - 1, w) * fac(A - 1, W - w - 1) % p",
"w",
"range(B)",
"range",
"B",
"ans -= fac(H - A - 1, w) * fac(A - 1, W - w - 1) % p",
"ans",
"fac(H - A - 1, w) * fac(A - 1, W - w - 1) % p",
"fac(H - A - 1, w) * fac(A - 1, W - w - 1)",
"fac(H - A - 1, w)",
"fac",
"H - A - 1",
"H - A",
"H",
"A",
"1",
"w",
"fac(A - 1, W - w - 1)",
"fac",
"A - 1",
"A",
"1",
"W - w - 1",
"W - w",
"W",
"w",
"1",
"p",
"print(ans % p)",
"print",
"ans % p",
"ans",
"p",
"H, W, A, B = map(int, input().split())",
"map(int, input().split())",
"H",
"Fi = [pow(f, p - 2, p) for f in F]",
"[pow(f, p - 2, p) for f in F]",
"Fi",
"B = map(int, input().split())",
"map(int, input().split())",
"B",
"W, A, B = map(int, input().split())",
"map(int, input().split())",
"W",
"A, B = map(int, input().split())",
"map(int, input().split())",
"A",
"F = [1 for i in range(H + W + 1)]",
"[1 for i in range(H + W + 1)]",
"F",
"ans = 0",
"0",
"ans",
"ans -= fac(H - A - 1, w) * fac(A - 1, W - w - 1) % p",
"fac(H - A - 1, w) * fac(A - 1, W - w - 1) % p",
"ans",
"p = 10 ** 9 + 7",
"10 ** 9 + 7",
"p",
"ans = fac(H - 1, W- 1)",
"fac(H - 1, W- 1)",
"ans",
"ans += fac(h, B - 1) * fac(H - h - 1, W - B - 1) % p",
"fac(h, B - 1) * fac(H - h - 1, W - B - 1) % p",
"ans",
"def fac(a, b):\n a = F[a + b] * Fi[a] * Fi[b]\n return a % p",
"def fac(a, b):\n a = F[a + b] * Fi[a] * Fi[b]\n return a % p",
"fac"
] | H, W, A, B = map(int, input().split())
p = 10 ** 9 + 7
F = [1 for i in range(H + W + 1)]
for i in range(1, H + W + 1):
F[i] = F[i - 1] * i % p
Fi = [pow(f, p - 2, p) for f in F]
def fac(a, b):
a = F[a + b] * Fi[a] * Fi[b]
return a % p
if H - A < B:
ans = 0
for h in range(H - A):
ans += fac(h, B - 1) * fac(H - h - 1, W - B - 1) % p
else:
ans = fac(H - 1, W- 1)
for w in range(B):
ans -= fac(H - A - 1, w) * fac(A - 1, W - w - 1) % p
print(ans % p) |
[
7,
0,
13,
4,
13,
13,
4,
18,
4,
13,
13,
13,
13,
13,
0,
13,
2,
2,
17,
17,
17,
0,
13,
2,
39,
17,
2,
2,
13,
13,
17,
0,
13,
2,
39,
17,
2,
2,
13,
13,
17,
28,
13,
4,
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17,
2,
2,
13,
13,
17,
0,
18,
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2,
2,
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4,
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2,
2,
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17,
39,
17,
0,
18,
13,
2,
13,
17,
2,
2,
13,
18,
13,
13,
13,
0,
13,
12,
2,
2,
2,
18,
13,
13,
18,
13,
13,
18,
13,
2,
13,
13,
13,
23,
23,
0,
13,
17,
28,
13,
4,
13,
2,
13,
17,
2,
13,
17,
0,
13,
2,
2,
4,
13,
2,
2,
13,
17,
2,
2,
13,
13,
17,
2,
13,
17,
4,
13,
2,
2,
13,
13,
2,
13,
17,
2,
13,
13,
13,
0,
13,
13,
4,
13,
13,
10,
12,
13,
10,
17,
13,
10,
4,
13,
10,
2,
13,
10,
4,
13,
10,
2,
13,
10,
4,
13,
10,
4,
13,
10,
2,
13,
10,
2,
13,
10,
13,
13
] | [
[
199,
2
],
[
199,
11
],
[
199,
12
],
[
199,
13
],
[
187,
15
],
[
193,
22
],
[
197,
28
],
[
191,
29
],
[
202,
32
],
[
197,
38
],
[
191,
39
],
[
43,
42
],
[
197,
48
],
[
191,
49
],
[
55,
52
],
[
194,
53
],
[
42,
54
],
[
42,
57
],
[
194,
59
],
[
42,
61
],
[
188,
63
],
[
70,
65
],
[
203,
66
],
[
197,
68
],
[
191,
69
],
[
194,
73
],
[
197,
75
],
[
191,
76
],
[
188,
78
],
[
188,
80
],
[
83,
82
],
[
197,
89
],
[
191,
90
],
[
100,
95
],
[
203,
96
],
[
82,
98
],
[
82,
102
],
[
203,
104
],
[
82,
105
],
[
188,
106
],
[
178,
108
],
[
194,
114
],
[
203,
117
],
[
203,
120
],
[
188,
124
],
[
181,
128
],
[
132,
131
],
[
185,
135
],
[
191,
138
],
[
205,
141
],
[
179,
145
],
[
131,
148
],
[
197,
152
],
[
200,
153
],
[
131,
156
],
[
179,
159
],
[
191,
162
],
[
131,
163
],
[
200,
165
],
[
191,
168
],
[
131,
169
],
[
188,
170
],
[
208,
172
],
[
188,
173
],
[
209,
176
],
[
206,
176
],
[
182,
176
],
[
178,
179
],
[
181,
182
],
[
199,
185
],
[
187,
188
],
[
199,
191
],
[
193,
194
],
[
199,
197
],
[
199,
200
],
[
202,
203
],
[
205,
206
],
[
188,
208
],
[
208,
209
]
] | [
"H, W, A, B = map(int, input().split())\nmod = 10**9 + 7\n\nfact = [1] * (H+W+1)\nfact_inv = [1] * (H+W+1)\nfor i in range(1, H+W+1):\n fact[i] = i * fact[i-1] % mod\nfact_inv[H+W] = pow(fact[H+W], mod-2, mod)\nfor i in range(1, H+W+1)[::-1]:\n fact_inv[i-1] = i * fact_inv[i] % mod\ncomb = lambda n, k: fact[n] * fact_inv[k] * fact_inv[n-k] % mod\n\nans = 0\nfor i in range(B+1, W+1):\n ans += comb((i-1) + (H-A-1), i-1) * comb((W-i) + (A-1), W-i) % mod\n ans %= mod\nprint(ans)",
"H, W, A, B = map(int, input().split())",
"H",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
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"split",
"W",
"A",
"B",
"mod = 10**9 + 7",
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"10**9 + 7",
"10**9",
"10",
"9",
"7",
"fact = [1] * (H+W+1)",
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"[1] * (H+W+1)",
"[1]",
"1",
"H+W+1",
"H+W",
"H",
"W",
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"[1]",
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"fact",
"i",
"i * fact[i-1] % mod",
"i * fact[i-1]",
"i",
"fact[i-1]",
"fact",
"i-1",
"i",
"1",
"mod",
"fact_inv[H+W] = pow(fact[H+W], mod-2, mod)",
"fact_inv[H+W]",
"fact_inv",
"H+W",
"H",
"W",
"pow(fact[H+W], mod-2, mod)",
"pow",
"fact[H+W]",
"fact",
"H+W",
"H",
"W",
"mod-2",
"mod",
"2",
"mod",
"for i in range(1, H+W+1)[::-1]:\n fact_inv[i-1] = i * fact_inv[i] % mod",
"i",
"range(1, H+W+1)[::-1]",
"(1, H+W+1)",
"range",
"1",
"H+W+1",
"H+W",
"H",
"W",
"1",
"::-1",
"-1",
"fact_inv[i-1] = i * fact_inv[i] % mod",
"fact_inv[i-1]",
"fact_inv",
"i-1",
"i",
"1",
"i * fact_inv[i] % mod",
"i * fact_inv[i]",
"i",
"fact_inv[i]",
"fact_inv",
"i",
"mod",
"comb = lambda n, k: fact[n] * fact_inv[k] * fact_inv[n-k] % mod",
"comb",
"lambda n, k: fact[n] * fact_inv[k] * fact_inv[n-k] % mod",
"fact[n] * fact_inv[k] * fact_inv[n-k] % mod",
"fact[n] * fact_inv[k] * fact_inv[n-k]",
"fact[n] * fact_inv[k]",
"fact[n]",
"fact",
"n",
"fact_inv[k]",
"fact_inv",
"k",
"fact_inv[n-k]",
"fact_inv",
"n-k",
"n",
"k",
"mod",
"n",
"k",
"ans = 0",
"ans",
"0",
"for i in range(B+1, W+1):\n ans += comb((i-1) + (H-A-1), i-1) * comb((W-i) + (A-1), W-i) % mod\n ans %= mod",
"i",
"range(B+1, W+1)",
"range",
"B+1",
"B",
"1",
"W+1",
"W",
"1",
"ans += comb((i-1) + (H-A-1), i-1) * comb((W-i) + (A-1), W-i) % mod",
"ans",
"comb((i-1) + (H-A-1), i-1) * comb((W-i) + (A-1), W-i) % mod",
"comb((i-1) + (H-A-1), i-1) * comb((W-i) + (A-1), W-i)",
"comb((i-1) + (H-A-1), i-1)",
"comb",
"(i-1) + (H-A-1)",
"i-1",
"i",
"1",
"H-A-1",
"H-A",
"H",
"A",
"1",
"i-1",
"i",
"1",
"comb((W-i) + (A-1), W-i)",
"comb",
"(W-i) + (A-1)",
"W-i",
"W",
"i",
"A-1",
"A",
"1",
"W-i",
"W",
"i",
"mod",
"ans %= mod",
"ans",
"mod",
"print(ans)",
"print",
"ans",
"comb = lambda n, k: fact[n] * fact_inv[k] * fact_inv[n-k] % mod",
"lambda n, k: fact[n] * fact_inv[k] * fact_inv[n-k] % mod",
"comb",
"ans = 0",
"0",
"ans",
"B = map(int, input().split())",
"map(int, input().split())",
"B",
"mod = 10**9 + 7",
"10**9 + 7",
"mod",
"W, A, B = map(int, input().split())",
"map(int, input().split())",
"W",
"fact = [1] * (H+W+1)",
"[1] * (H+W+1)",
"fact",
"H, W, A, B = map(int, input().split())",
"map(int, input().split())",
"H",
"A, B = map(int, input().split())",
"map(int, input().split())",
"A",
"fact_inv = [1] * (H+W+1)",
"[1] * (H+W+1)",
"fact_inv",
"ans += comb((i-1) + (H-A-1), i-1) * comb((W-i) + (A-1), W-i) % mod",
"comb((i-1) + (H-A-1), i-1) * comb((W-i) + (A-1), W-i) % mod",
"ans",
"ans %= mod",
"mod",
"ans"
] | H, W, A, B = map(int, input().split())
mod = 10**9 + 7
fact = [1] * (H+W+1)
fact_inv = [1] * (H+W+1)
for i in range(1, H+W+1):
fact[i] = i * fact[i-1] % mod
fact_inv[H+W] = pow(fact[H+W], mod-2, mod)
for i in range(1, H+W+1)[::-1]:
fact_inv[i-1] = i * fact_inv[i] % mod
comb = lambda n, k: fact[n] * fact_inv[k] * fact_inv[n-k] % mod
ans = 0
for i in range(B+1, W+1):
ans += comb((i-1) + (H-A-1), i-1) * comb((W-i) + (A-1), W-i) % mod
ans %= mod
print(ans)
|
[
7,
0,
13,
4,
13,
13,
4,
18,
4,
13,
13,
13,
13,
13,
0,
13,
17,
0,
13,
39,
17,
17,
0,
13,
39,
17,
17,
0,
13,
39,
17,
17,
28,
13,
4,
13,
17,
2,
13,
13,
4,
18,
13,
13,
2,
2,
18,
13,
17,
13,
13,
4,
18,
13,
13,
2,
2,
40,
18,
13,
2,
13,
13,
2,
13,
13,
13,
4,
18,
13,
13,
2,
2,
18,
13,
17,
18,
13,
13,
13,
12,
13,
29,
2,
2,
2,
2,
2,
18,
13,
2,
2,
2,
2,
13,
13,
13,
13,
17,
18,
13,
2,
2,
2,
2,
2,
13,
13,
17,
13,
13,
17,
18,
13,
2,
13,
13,
18,
13,
2,
2,
13,
13,
17,
18,
13,
2,
2,
2,
13,
13,
17,
13,
18,
13,
2,
13,
17,
23,
13,
12,
13,
0,
13,
17,
28,
13,
4,
13,
13,
2,
13,
17,
0,
13,
4,
13,
13,
29,
13,
23,
13,
23,
13,
23,
13,
4,
13,
2,
4,
13,
13,
17,
2,
2,
13,
13,
17,
13,
10,
12,
13,
10,
4,
13,
10,
12,
13,
10,
4,
13,
10,
4,
13,
10,
39,
13,
10,
39,
13,
10,
4,
13,
10,
17,
13,
10,
39,
13
] | [
[
201,
2
],
[
201,
11
],
[
201,
12
],
[
201,
13
],
[
204,
15
],
[
207,
18
],
[
195,
23
],
[
198,
28
],
[
34,
33
],
[
184,
38
],
[
190,
39
],
[
208,
42
],
[
208,
47
],
[
33,
49
],
[
205,
50
],
[
196,
53
],
[
196,
59
],
[
205,
61
],
[
33,
62
],
[
205,
64
],
[
33,
65
],
[
205,
66
],
[
199,
69
],
[
199,
74
],
[
196,
77
],
[
33,
78
],
[
205,
79
],
[
208,
89
],
[
193,
94
],
[
139,
95
],
[
184,
96
],
[
202,
97
],
[
208,
100
],
[
190,
106
],
[
193,
107
],
[
139,
109
],
[
202,
110
],
[
199,
113
],
[
193,
115
],
[
139,
116
],
[
199,
118
],
[
184,
121
],
[
202,
122
],
[
199,
125
],
[
190,
129
],
[
193,
130
],
[
139,
132
],
[
199,
134
],
[
202,
136
],
[
139,
139
],
[
144,
143
],
[
147,
146
],
[
163,
149
],
[
165,
151
],
[
155,
154
],
[
161,
156
],
[
146,
157
],
[
154,
159
],
[
143,
159
],
[
161,
161
],
[
163,
163
],
[
165,
165
],
[
181,
170
],
[
187,
171
],
[
190,
175
],
[
193,
176
],
[
205,
178
],
[
201,
184
],
[
201,
190
],
[
201,
193
],
[
195,
196
],
[
198,
199
],
[
201,
202
],
[
204,
205
],
[
207,
208
]
] | [
"H, W, A, B = map(int, input().split())\n\nMOD = 1000000007\n\nfac = [1, 1]\ninverse = [0, 1]\nifac = [1, 1]\n \nfor i in range(2, H+W):\n fac.append((fac[-1] * i) % MOD)\n inverse.append((-inverse[MOD % i] * (MOD // i)) % MOD)\n ifac.append((ifac[-1] * inverse[i]) % MOD)\n\ndef f(n):\n return fac[B+n+H-A-1] * fac[W-B-1-n+A-1] * ifac[B+n] * ifac[H-A-1] * ifac[W-B-1-n] * ifac[A-1]\n\ndef sigma(func, frm, to):\n result = 0\n for i in range(frm, to+1):\n result += func(i)\n return result\n \nprint(sigma(f, 0, W-B-1)%MOD)",
"H, W, A, B = map(int, input().split())",
"H",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"W",
"A",
"B",
"MOD = 1000000007",
"MOD",
"1000000007",
"fac = [1, 1]",
"fac",
"[1, 1]",
"1",
"1",
"inverse = [0, 1]",
"inverse",
"[0, 1]",
"0",
"1",
"ifac = [1, 1]",
"ifac",
"[1, 1]",
"1",
"1",
"for i in range(2, H+W):\n fac.append((fac[-1] * i) % MOD)\n inverse.append((-inverse[MOD % i] * (MOD // i)) % MOD)\n ifac.append((ifac[-1] * inverse[i]) % MOD)",
"i",
"range(2, H+W)",
"range",
"2",
"H+W",
"H",
"W",
"fac.append((fac[-1] * i) % MOD)",
"fac.append",
"fac",
"append",
"(fac[-1] * i) % MOD",
"fac[-1] * i",
"fac[-1]",
"fac",
"-1",
"i",
"MOD",
"inverse.append((-inverse[MOD % i] * (MOD // i)) % MOD)",
"inverse.append",
"inverse",
"append",
"(-inverse[MOD % i] * (MOD // i)) % MOD",
"-inverse[MOD % i] * (MOD // i)",
"-inverse[MOD % i]",
"inverse[MOD % i]",
"inverse",
"MOD % i",
"MOD",
"i",
"MOD // i",
"MOD",
"i",
"MOD",
"ifac.append((ifac[-1] * inverse[i]) % MOD)",
"ifac.append",
"ifac",
"append",
"(ifac[-1] * inverse[i]) % MOD",
"ifac[-1] * inverse[i]",
"ifac[-1]",
"ifac",
"-1",
"inverse[i]",
"inverse",
"i",
"MOD",
"def f(n):\n return fac[B+n+H-A-1] * fac[W-B-1-n+A-1] * ifac[B+n] * ifac[H-A-1] * ifac[W-B-1-n] * ifac[A-1]",
"f",
"return fac[B+n+H-A-1] * fac[W-B-1-n+A-1] * ifac[B+n] * ifac[H-A-1] * ifac[W-B-1-n] * ifac[A-1]",
"fac[B+n+H-A-1] * fac[W-B-1-n+A-1] * ifac[B+n] * ifac[H-A-1] * ifac[W-B-1-n] * ifac[A-1]",
"fac[B+n+H-A-1] * fac[W-B-1-n+A-1] * ifac[B+n] * ifac[H-A-1] * ifac[W-B-1-n]",
"fac[B+n+H-A-1] * fac[W-B-1-n+A-1] * ifac[B+n] * ifac[H-A-1]",
"fac[B+n+H-A-1] * fac[W-B-1-n+A-1] * ifac[B+n]",
"fac[B+n+H-A-1] * fac[W-B-1-n+A-1]",
"fac[B+n+H-A-1]",
"fac",
"B+n+H-A-1",
"B+n+H-A",
"B+n+H",
"B+n",
"B",
"n",
"H",
"A",
"1",
"fac[W-B-1-n+A-1]",
"fac",
"W-B-1-n+A-1",
"W-B-1-n+A",
"W-B-1-n",
"W-B-1",
"W-B",
"W",
"B",
"1",
"n",
"A",
"1",
"ifac[B+n]",
"ifac",
"B+n",
"B",
"n",
"ifac[H-A-1]",
"ifac",
"H-A-1",
"H-A",
"H",
"A",
"1",
"ifac[W-B-1-n]",
"ifac",
"W-B-1-n",
"W-B-1",
"W-B",
"W",
"B",
"1",
"n",
"ifac[A-1]",
"ifac",
"A-1",
"A",
"1",
"n",
"n",
"def sigma(func, frm, to):\n result = 0\n for i in range(frm, to+1):\n result += func(i)\n return result\n ",
"sigma",
"result = 0",
"result",
"0",
"for i in range(frm, to+1):\n result += func(i)\n ",
"i",
"range(frm, to+1)",
"range",
"frm",
"to+1",
"to",
"1",
"result += func(i)",
"result",
"func(i)",
"func",
"i",
"return result",
"result",
"func",
"func",
"frm",
"frm",
"to",
"to",
"print(sigma(f, 0, W-B-1)%MOD)",
"print",
"sigma(f, 0, W-B-1)%MOD",
"sigma(f, 0, W-B-1)",
"sigma",
"f",
"0",
"W-B-1",
"W-B",
"W",
"B",
"1",
"MOD",
"def sigma(func, frm, to):\n result = 0\n for i in range(frm, to+1):\n result += func(i)\n return result\n ",
"def sigma(func, frm, to):\n result = 0\n for i in range(frm, to+1):\n result += func(i)\n return result\n ",
"sigma",
"H, W, A, B = map(int, input().split())",
"map(int, input().split())",
"H",
"def f(n):\n return fac[B+n+H-A-1] * fac[W-B-1-n+A-1] * ifac[B+n] * ifac[H-A-1] * ifac[W-B-1-n] * ifac[A-1]",
"def f(n):\n return fac[B+n+H-A-1] * fac[W-B-1-n+A-1] * ifac[B+n] * ifac[H-A-1] * ifac[W-B-1-n] * ifac[A-1]",
"f",
"W, A, B = map(int, input().split())",
"map(int, input().split())",
"W",
"B = map(int, input().split())",
"map(int, input().split())",
"B",
"inverse = [0, 1]",
"[0, 1]",
"inverse",
"ifac = [1, 1]",
"[1, 1]",
"ifac",
"A, B = map(int, input().split())",
"map(int, input().split())",
"A",
"MOD = 1000000007",
"1000000007",
"MOD",
"fac = [1, 1]",
"[1, 1]",
"fac"
] | H, W, A, B = map(int, input().split())
MOD = 1000000007
fac = [1, 1]
inverse = [0, 1]
ifac = [1, 1]
for i in range(2, H+W):
fac.append((fac[-1] * i) % MOD)
inverse.append((-inverse[MOD % i] * (MOD // i)) % MOD)
ifac.append((ifac[-1] * inverse[i]) % MOD)
def f(n):
return fac[B+n+H-A-1] * fac[W-B-1-n+A-1] * ifac[B+n] * ifac[H-A-1] * ifac[W-B-1-n] * ifac[A-1]
def sigma(func, frm, to):
result = 0
for i in range(frm, to+1):
result += func(i)
return result
print(sigma(f, 0, W-B-1)%MOD)
|
[
7,
17,
0,
13,
2,
2,
17,
2,
17,
17,
17,
0,
13,
2,
2,
17,
17,
17,
0,
13,
2,
39,
17,
13,
0,
13,
2,
39,
17,
13,
0,
13,
2,
39,
17,
13,
0,
18,
13,
17,
17,
0,
18,
13,
17,
17,
0,
18,
13,
17,
17,
0,
18,
13,
17,
17,
0,
18,
13,
17,
17,
28,
13,
4,
13,
17,
13,
0,
18,
13,
13,
2,
2,
18,
13,
2,
13,
17,
13,
13,
0,
18,
13,
13,
2,
13,
2,
2,
18,
13,
2,
13,
13,
2,
13,
13,
13,
0,
18,
13,
13,
2,
2,
18,
13,
2,
13,
17,
18,
13,
13,
13,
12,
13,
14,
2,
13,
13,
29,
17,
14,
2,
2,
13,
17,
2,
13,
17,
29,
17,
29,
2,
2,
18,
13,
13,
2,
2,
18,
13,
13,
18,
13,
2,
13,
13,
13,
13,
23,
13,
23,
13,
12,
13,
29,
4,
13,
2,
2,
13,
13,
17,
13,
23,
13,
23,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
13,
13,
13,
0,
13,
17,
28,
13,
4,
13,
2,
13,
13,
0,
13,
2,
4,
13,
13,
13,
4,
13,
2,
13,
13,
2,
2,
13,
13,
17,
0,
13,
2,
2,
13,
13,
13,
4,
13,
13,
10,
2,
13,
10,
2,
13,
10,
4,
13,
10,
2,
13,
10,
2,
13,
10,
2,
13,
10,
4,
13,
10,
2,
13,
10,
4,
13,
10,
17,
13,
10,
12,
13,
10,
4,
13,
10,
2,
13,
10,
12,
13
] | [
[
232,
3
],
[
235,
12
],
[
241,
19
],
[
233,
23
],
[
220,
25
],
[
233,
29
],
[
223,
31
],
[
233,
35
],
[
40,
37
],
[
242,
38
],
[
45,
42
],
[
242,
43
],
[
50,
47
],
[
221,
48
],
[
55,
52
],
[
221,
53
],
[
60,
57
],
[
224,
58
],
[
63,
62
],
[
233,
66
],
[
71,
68
],
[
242,
69
],
[
62,
70
],
[
242,
74
],
[
62,
76
],
[
62,
78
],
[
236,
79
],
[
84,
81
],
[
224,
82
],
[
62,
83
],
[
236,
85
],
[
224,
89
],
[
236,
91
],
[
62,
92
],
[
236,
94
],
[
62,
95
],
[
236,
96
],
[
101,
98
],
[
221,
99
],
[
62,
100
],
[
221,
104
],
[
62,
106
],
[
81,
108
],
[
224,
109
],
[
62,
110
],
[
236,
111
],
[
149,
116
],
[
151,
117
],
[
149,
123
],
[
151,
126
],
[
242,
134
],
[
149,
135
],
[
221,
139
],
[
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229,
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232,
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235,
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[
253,
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[
241,
242
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[
253,
245
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[
247,
248
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[
253,
254
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[
256,
257
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] | [
"# -*- coding: utf-8 -*-\n\"\"\"\nCreated on Mon Sep 23 17:33:45 2019\nABC042D\n@author: maezawa\n\"\"\"\n\nMAX = 5*10**5+1\nMOD = 10**9+7\n\nfac = [0] * MAX\nfinv = [0]*MAX\ninv = [0]*MAX\n\n# テーブルを作る前処理\nfac[0] = 1\nfac[1] = 1\nfinv[0] = 1\nfinv[1] = 1\ninv[1] = 1\nfor i in range(2,MAX):\n fac[i] = fac[i - 1] * i % MOD\n inv[i] = MOD - inv[MOD%i] * (MOD // i) % MOD\n finv[i] = finv[i - 1] * inv[i] % MOD\n\n# 二項係数計算\ndef COM(n, k):\n if (n < k):\n return 0\n if (n < 0 or k < 0):\n return 0\n return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD\n\ndef HCOM(n,k):\n return COM(n+k-1,k)\n\n\n#n, r = list(map(int, input().split()))\n#ans = COM(n, r)\n#print(ans)\n\nh, w, a, b = list(map(int, input().split()))\ncnt = 0\nfor i in range(h-a):\n p0 = HCOM(b, i) * HCOM(w-b,h-i-1)\n cnt = (cnt+p0)%MOD\nprint(cnt)",
"\"\"\"\nCreated on Mon Sep 23 17:33:45 2019\nABC042D\n@author: maezawa\n\"\"\"",
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"cnt = 0",
"0",
"cnt",
"def HCOM(n,k):\n return COM(n+k-1,k)\n\n\n#n, r = list(map(int, input().split()))\n#ans = COM(n, r)\n#print(ans)",
"def HCOM(n,k):\n return COM(n+k-1,k)\n\n\n#n, r = list(map(int, input().split()))\n#ans = COM(n, r)\n#print(ans)",
"HCOM",
"w, a, b = list(map(int, input().split()))",
"list(map(int, input().split()))",
"w",
"p0 = HCOM(b, i) * HCOM(w-b,h-i-1)",
"HCOM(b, i) * HCOM(w-b,h-i-1)",
"p0",
"def COM(n, k):\n if (n < k):\n return 0\n if (n < 0 or k < 0):\n return 0\n return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD",
"def COM(n, k):\n if (n < k):\n return 0\n if (n < 0 or k < 0):\n return 0\n return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD",
"COM"
] | # -*- coding: utf-8 -*-
"""
Created on Mon Sep 23 17:33:45 2019
ABC042D
@author: maezawa
"""
MAX = 5*10**5+1
MOD = 10**9+7
fac = [0] * MAX
finv = [0]*MAX
inv = [0]*MAX
# テーブルを作る前処理
fac[0] = 1
fac[1] = 1
finv[0] = 1
finv[1] = 1
inv[1] = 1
for i in range(2,MAX):
fac[i] = fac[i - 1] * i % MOD
inv[i] = MOD - inv[MOD%i] * (MOD // i) % MOD
finv[i] = finv[i - 1] * inv[i] % MOD
# 二項係数計算
def COM(n, k):
if (n < k):
return 0
if (n < 0 or k < 0):
return 0
return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD
def HCOM(n,k):
return COM(n+k-1,k)
#n, r = list(map(int, input().split()))
#ans = COM(n, r)
#print(ans)
h, w, a, b = list(map(int, input().split()))
cnt = 0
for i in range(h-a):
p0 = HCOM(b, i) * HCOM(w-b,h-i-1)
cnt = (cnt+p0)%MOD
print(cnt) |
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] | [
[
211,
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[
217,
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30,
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32,
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212,
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212,
28
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30,
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32,
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226,
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218,
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43,
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42,
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212,
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218,
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74,
71
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215,
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218,
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224,
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227,
78
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218,
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82,
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218,
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93,
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215,
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81,
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215,
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81,
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81,
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212,
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104,
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104,
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126,
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112,
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138,
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119,
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199,
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215,
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211,
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214,
215
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217,
218
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] | [
"MOD = 10**9 + 7\nMAX = int(2e5+1)\n\n\ndef div(a, b):\n return a * pow(b, MOD-2, MOD) % MOD\n\n\nFACT = [1] * (MAX+1)\nfor i in range(1, MAX+1):\n FACT[i] = (i * FACT[i-1]) % MOD\nINV = [1] * (MAX+1)\nINV[MAX] = div(1, FACT[MAX])\nfor i in range(MAX, 0, -1):\n INV[i-1] = (INV[i] * i) % MOD\n\n\ndef main():\n H, W, A, B = map(int, input().split())\n ans = 0\n i = H-A-1\n j = B\n while i >= 0 and j < W:\n a = (FACT[i+j] * INV[i] * INV[j]) % MOD\n b = (FACT[H-i-1 + W-j-1] * INV[H-i-1] * INV[W-j-1]) % MOD\n ans = (ans + a * b) % MOD\n i -= 1\n j += 1\n print(ans)\n\n\nif __name__ == \"__main__\":\n main()",
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"(FACT[H-i-1 + W-j-1] * INV[H-i-1] * INV[W-j-1]) % MOD",
"FACT[H-i-1 + W-j-1] * INV[H-i-1] * INV[W-j-1]",
"FACT[H-i-1 + W-j-1] * INV[H-i-1]",
"FACT[H-i-1 + W-j-1]",
"FACT",
"H-i-1 + W-j-1",
"H-i-1 + W-j",
"H-i-1 + W",
"H-i-1",
"H-i",
"H",
"i",
"1",
"W",
"j",
"1",
"INV[H-i-1]",
"INV",
"H-i-1",
"H-i",
"H",
"i",
"1",
"INV[W-j-1]",
"INV",
"W-j-1",
"W-j",
"W",
"j",
"1",
"MOD",
"ans = (ans + a * b) % MOD",
"ans",
"(ans + a * b) % MOD",
"ans + a * b",
"ans",
"a * b",
"a",
"b",
"MOD",
"i -= 1",
"i",
"1",
"j += 1",
"j",
"1",
"print(ans)",
"print",
"ans",
"if __name__ == \"__main__\":\n main()",
"__name__ == \"__main__\"",
"__name__",
"\"__main__\"",
"main()",
"main",
"MOD = 10**9 + 7",
"10**9 + 7",
"MOD",
"INV = [1] * (MAX+1)",
"[1] * (MAX+1)",
"INV",
"MAX = int(2e5+1)",
"int(2e5+1)",
"MAX",
"def main():\n H, W, A, B = map(int, input().split())\n ans = 0\n i = H-A-1\n j = B\n while i >= 0 and j < W:\n a = (FACT[i+j] * INV[i] * INV[j]) % MOD\n b = (FACT[H-i-1 + W-j-1] * INV[H-i-1] * INV[W-j-1]) % MOD\n ans = (ans + a * b) % MOD\n i -= 1\n j += 1\n print(ans)",
"def main():\n H, W, A, B = map(int, input().split())\n ans = 0\n i = H-A-1\n j = B\n while i >= 0 and j < W:\n a = (FACT[i+j] * INV[i] * INV[j]) % MOD\n b = (FACT[H-i-1 + W-j-1] * INV[H-i-1] * INV[W-j-1]) % MOD\n ans = (ans + a * b) % MOD\n i -= 1\n j += 1\n print(ans)",
"main",
"def div(a, b):\n return a * pow(b, MOD-2, MOD) % MOD",
"def div(a, b):\n return a * pow(b, MOD-2, MOD) % MOD",
"div",
"FACT = [1] * (MAX+1)",
"[1] * (MAX+1)",
"FACT"
] | MOD = 10**9 + 7
MAX = int(2e5+1)
def div(a, b):
return a * pow(b, MOD-2, MOD) % MOD
FACT = [1] * (MAX+1)
for i in range(1, MAX+1):
FACT[i] = (i * FACT[i-1]) % MOD
INV = [1] * (MAX+1)
INV[MAX] = div(1, FACT[MAX])
for i in range(MAX, 0, -1):
INV[i-1] = (INV[i] * i) % MOD
def main():
H, W, A, B = map(int, input().split())
ans = 0
i = H-A-1
j = B
while i >= 0 and j < W:
a = (FACT[i+j] * INV[i] * INV[j]) % MOD
b = (FACT[H-i-1 + W-j-1] * INV[H-i-1] * INV[W-j-1]) % MOD
ans = (ans + a * b) % MOD
i -= 1
j += 1
print(ans)
if __name__ == "__main__":
main()
|
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] | [
[
261,
2
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[
246,
5
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[
255,
8
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[
262,
12
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[
234,
14
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262,
18
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243,
20
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262,
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36,
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256,
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256,
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256,
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247,
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75,
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53,
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247,
102
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136,
112
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138,
115
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256,
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136,
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235,
126
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138,
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247,
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[
158,
157
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167,
166
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174,
173
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[
181,
180
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268,
182
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145,
183
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199,
183
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154,
184
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[
202,
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187,
186
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157,
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205,
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193,
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180,
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[
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247,
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[
203,
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[
206,
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],
[
209,
208
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[
192,
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[
142,
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[
247,
213
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[
264,
215
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[
264,
224
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[
264,
225
],
[
264,
226
],
[
259,
228
],
[
250,
232
],
[
234,
235
],
[
264,
238
],
[
264,
241
],
[
243,
244
],
[
246,
247
],
[
264,
253
],
[
255,
256
],
[
261,
262
],
[
264,
265
]
] | [
"MAX = 510000\nMOD = 1000000007\n\nfac = [0] * MAX\nfinv = [0] * MAX\ninv = [0] * MAX\n\ndef comb_init():\n fac[0] = fac[1] = 1\n finv[0] = finv[1] = 1\n inv[1] = 1\n for i in range(2, MAX):\n fac[i] = fac[i - 1] * i % MOD\n inv[i] = MOD - inv[MOD % i] * (MOD // i) % MOD\n finv[i] = finv[i - 1] * inv[i] % MOD\n \ndef comb(n, r):\n if n < r: return 0\n if n < 0 or r < 0: return 0\n return fac[n] * (finv[r] * finv[n - r] % MOD) % MOD\n\ndef solve():\n ans = 0\n an = H + B - A - 1\n ar = B\n bn = W + A - B - 2\n br = W - B - 1\n for i in range(W-B):\n a = comb(an, ar)\n b = comb(bn, br)\n ans += (a * b) % MOD\n an += 1; ar += 1\n bn -= 1; br -= 1\n return ans % MOD\n\nH, W, A, B = map(int, input().split())\n\ncomb_init()\nprint(solve())",
"MAX = 510000",
"MAX",
"510000",
"MOD = 1000000007",
"MOD",
"1000000007",
"fac = [0] * MAX",
"fac",
"[0] * MAX",
"[0]",
"0",
"MAX",
"finv = [0] * MAX",
"finv",
"[0] * MAX",
"[0]",
"0",
"MAX",
"inv = [0] * MAX",
"inv",
"[0] * MAX",
"[0]",
"0",
"MAX",
"def comb_init():\n fac[0] = fac[1] = 1\n finv[0] = finv[1] = 1\n inv[1] = 1\n for i in range(2, MAX):\n fac[i] = fac[i - 1] * i % MOD\n inv[i] = MOD - inv[MOD % i] * (MOD // i) % MOD\n finv[i] = finv[i - 1] * inv[i] % MOD\n ",
"comb_init",
"fac[0] = fac[1] = 1",
"fac[0]",
"fac",
"0",
"1",
"= fac[1] = 1",
"fac[1]",
"fac",
"1",
"1",
"finv[0] = finv[1] = 1",
"finv[0]",
"finv",
"0",
"1",
"= finv[1] = 1",
"finv[1]",
"finv",
"1",
"1",
"inv[1] = 1",
"inv[1]",
"inv",
"1",
"1",
"for i in range(2, MAX):\n fac[i] = fac[i - 1] * i % MOD\n inv[i] = MOD - inv[MOD % i] * (MOD // i) % MOD\n finv[i] = finv[i - 1] * inv[i] % MOD\n ",
"i",
"range(2, MAX)",
"range",
"2",
"MAX",
"fac[i] = fac[i - 1] * i % MOD",
"fac[i]",
"fac",
"i",
"fac[i - 1] * i % MOD",
"fac[i - 1] * i",
"fac[i - 1]",
"fac",
"i - 1",
"i",
"1",
"i",
"MOD",
"inv[i] = MOD - inv[MOD % i] * (MOD // i) % MOD",
"inv[i]",
"inv",
"i",
"MOD - inv[MOD % i] * (MOD // i) % MOD",
"MOD",
"inv[MOD % i] * (MOD // i) % MOD",
"inv[MOD % i] * (MOD // i)",
"inv[MOD % i]",
"inv",
"MOD % i",
"MOD",
"i",
"MOD // i",
"MOD",
"i",
"MOD",
"finv[i] = finv[i - 1] * inv[i] % MOD",
"finv[i]",
"finv",
"i",
"finv[i - 1] * inv[i] % MOD",
"finv[i - 1] * inv[i]",
"finv[i - 1]",
"finv",
"i - 1",
"i",
"1",
"inv[i]",
"inv",
"i",
"MOD",
"def comb(n, r):\n if n < r: return 0\n if n < 0 or r < 0: return 0\n return fac[n] * (finv[r] * finv[n - r] % MOD) % MOD",
"comb",
"if n < r: return 0\n ",
"n < r",
"n",
"r",
"if n < 0 or r < 0: return 0\n ",
"n < 0 or r < 0",
"n < 0",
"n",
"0",
"r < 0",
"r",
"0",
"return fac[n] * (finv[r] * finv[n - r] % MOD) % MOD",
"fac[n] * (finv[r] * finv[n - r] % MOD) % MOD",
"fac[n] * (finv[r] * finv[n - r] % MOD)",
"fac[n]",
"fac",
"n",
"finv[r] * finv[n - r] % MOD",
"finv[r] * finv[n - r]",
"finv[r]",
"finv",
"r",
"finv[n - r]",
"finv",
"n - r",
"n",
"r",
"MOD",
"MOD",
"n",
"n",
"r",
"r",
"def solve():\n ans = 0\n an = H + B - A - 1\n ar = B\n bn = W + A - B - 2\n br = W - B - 1\n for i in range(W-B):\n a = comb(an, ar)\n b = comb(bn, br)\n ans += (a * b) % MOD\n an += 1; ar += 1\n bn -= 1; br -= 1\n return ans % MOD",
"solve",
"ans = 0",
"ans",
"0",
"an = H + B - A - 1",
"an",
"H + B - A - 1",
"H + B - A",
"H + B",
"H",
"B",
"A",
"1",
"ar = B",
"ar",
"B",
"bn = W + A - B - 2",
"bn",
"W + A - B - 2",
"W + A - B",
"W + A",
"W",
"A",
"B",
"2",
"br = W - B - 1",
"br",
"W - B - 1",
"W - B",
"W",
"B",
"1",
"for i in range(W-B):\n a = comb(an, ar)\n b = comb(bn, br)\n ans += (a * b) % MOD\n an += 1; ar += 1\n bn -= 1; br -= 1\n ",
"i",
"range(W-B)",
"range",
"W-B",
"W",
"B",
"a = comb(an, ar)",
"a",
"comb(an, ar)",
"comb",
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"br -= 1",
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"return ans % MOD",
"ans % MOD",
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"H, W, A, B = map(int, input().split())",
"H",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"W",
"A",
"B",
"comb_init()",
"comb_init",
"print(solve())",
"print",
"solve()",
"solve",
"finv = [0] * MAX",
"[0] * MAX",
"finv",
"B = map(int, input().split())",
"map(int, input().split())",
"B",
"W, A, B = map(int, input().split())",
"map(int, input().split())",
"W",
"inv = [0] * MAX",
"[0] * MAX",
"inv",
"MOD = 1000000007",
"1000000007",
"MOD",
"def solve():\n ans = 0\n an = H + B - A - 1\n ar = B\n bn = W + A - B - 2\n br = W - B - 1\n for i in range(W-B):\n a = comb(an, ar)\n b = comb(bn, br)\n ans += (a * b) % MOD\n an += 1; ar += 1\n bn -= 1; br -= 1\n return ans % MOD",
"def solve():\n ans = 0\n an = H + B - A - 1\n ar = B\n bn = W + A - B - 2\n br = W - B - 1\n for i in range(W-B):\n a = comb(an, ar)\n b = comb(bn, br)\n ans += (a * b) % MOD\n an += 1; ar += 1\n bn -= 1; br -= 1\n return ans % MOD",
"solve",
"H, W, A, B = map(int, input().split())",
"map(int, input().split())",
"H",
"fac = [0] * MAX",
"[0] * MAX",
"fac",
"def comb_init():\n fac[0] = fac[1] = 1\n finv[0] = finv[1] = 1\n inv[1] = 1\n for i in range(2, MAX):\n fac[i] = fac[i - 1] * i % MOD\n inv[i] = MOD - inv[MOD % i] * (MOD // i) % MOD\n finv[i] = finv[i - 1] * inv[i] % MOD\n ",
"def comb_init():\n fac[0] = fac[1] = 1\n finv[0] = finv[1] = 1\n inv[1] = 1\n for i in range(2, MAX):\n fac[i] = fac[i - 1] * i % MOD\n inv[i] = MOD - inv[MOD % i] * (MOD // i) % MOD\n finv[i] = finv[i - 1] * inv[i] % MOD\n ",
"comb_init",
"MAX = 510000",
"510000",
"MAX",
"A, B = map(int, input().split())",
"map(int, input().split())",
"A",
"def comb(n, r):\n if n < r: return 0\n if n < 0 or r < 0: return 0\n return fac[n] * (finv[r] * finv[n - r] % MOD) % MOD",
"def comb(n, r):\n if n < r: return 0\n if n < 0 or r < 0: return 0\n return fac[n] * (finv[r] * finv[n - r] % MOD) % MOD",
"comb"
] | MAX = 510000
MOD = 1000000007
fac = [0] * MAX
finv = [0] * MAX
inv = [0] * MAX
def comb_init():
fac[0] = fac[1] = 1
finv[0] = finv[1] = 1
inv[1] = 1
for i in range(2, MAX):
fac[i] = fac[i - 1] * i % MOD
inv[i] = MOD - inv[MOD % i] * (MOD // i) % MOD
finv[i] = finv[i - 1] * inv[i] % MOD
def comb(n, r):
if n < r: return 0
if n < 0 or r < 0: return 0
return fac[n] * (finv[r] * finv[n - r] % MOD) % MOD
def solve():
ans = 0
an = H + B - A - 1
ar = B
bn = W + A - B - 2
br = W - B - 1
for i in range(W-B):
a = comb(an, ar)
b = comb(bn, br)
ans += (a * b) % MOD
an += 1; ar += 1
bn -= 1; br -= 1
return ans % MOD
H, W, A, B = map(int, input().split())
comb_init()
print(solve())
|
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] | [
"H,W,A,B = map(int,input().split())\n\n\nclass Combination:\n \"\"\"\n O(n)の前計算を1回行うことで,O(1)でnCr mod mを求められる\n n_max = 10**6のとき前処理は約950ms (PyPyなら約340ms, 10**7で約1800ms)\n 使用例:\n comb = Combination(1000000)\n print(comb(5, 3)) # 10\n \"\"\"\n\n def __init__(self, n_max, mod=10 ** 9 + 7):\n self.mod = mod\n self.modinv = self.make_modinv_list(n_max)\n self.fac, self.facinv = self.make_factorial_list(n_max)\n\n def __call__(self, n, r):\n return self.fac[n] * self.facinv[r] % self.mod * self.facinv[n - r] % self.mod\n\n def make_factorial_list(self, n):\n # 階乗のリストと階乗のmod逆元のリストを返す O(n)\n # self.make_modinv_list()が先に実行されている必要がある\n fac = [1]\n facinv = [1]\n for i in range(1, n + 1):\n fac.append(fac[i - 1] * i % self.mod)\n facinv.append(facinv[i - 1] * self.modinv[i] % self.mod)\n return fac, facinv\n\n def make_modinv_list(self, n):\n # 0からnまでのmod逆元のリストを返す O(n)\n modinv = [0] * (n + 1)\n modinv[1] = 1\n for i in range(2, n + 1):\n modinv[i] = self.mod - self.mod // i * modinv[self.mod % i] % self.mod\n return modinv\n\ncomb = Combination(1000000)\nMOD = 10**9+7\nans = 0\nfor i in range(B,W):\n ans += comb(H-A-1+i,i)*comb(A-1+W-1-i,A-1)\n ans %= MOD\n #print(comb(H-A-1+i,i)*comb(A-1+W-1-i,A-1))\nprint(ans)\n\n",
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"class Combination:\n \"\"\"\n O(n)の前計算を1回行うことで,O(1)でnCr mod mを求められる\n n_max = 10**6のとき前処理は約950ms (PyPyなら約340ms, 10**7で約1800ms)\n 使用例:\n comb = Combination(1000000)\n print(comb(5, 3)) # 10\n \"\"\"\n\n def __init__(self, n_max, mod=10 ** 9 + 7):\n self.mod = mod\n self.modinv = self.make_modinv_list(n_max)\n self.fac, self.facinv = self.make_factorial_list(n_max)\n\n def __call__(self, n, r):\n return self.fac[n] * self.facinv[r] % self.mod * self.facinv[n - r] % self.mod\n\n def make_factorial_list(self, n):\n # 階乗のリストと階乗のmod逆元のリストを返す O(n)\n # self.make_modinv_list()が先に実行されている必要がある\n fac = [1]\n facinv = [1]\n for i in range(1, n + 1):\n fac.append(fac[i - 1] * i % self.mod)\n facinv.append(facinv[i - 1] * self.modinv[i] % self.mod)\n return fac, facinv\n\n def make_modinv_list(self, n):\n # 0からnまでのmod逆元のリストを返す O(n)\n modinv = [0] * (n + 1)\n modinv[1] = 1\n for i in range(2, n + 1):\n modinv[i] = self.mod - self.mod // i * modinv[self.mod % i] % self.mod\n return modinv",
"Combination",
"\"\"\"\n O(n)の前計算を1回行うことで,O(1)でnCr mod mを求められる\n n_max = 10**6のとき前処理は約950ms (PyPyなら約340ms, 10**7で約1800ms)\n 使用例:\n comb = Combination(1000000)\n print(comb(5, 3)) # 10\n \"\"\"",
"def __init__(self, n_max, mod=10 ** 9 + 7):\n self.mod = mod\n self.modinv = self.make_modinv_list(n_max)\n self.fac, self.facinv = self.make_factorial_list(n_max)\n\n ",
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"class Combination:\n \"\"\"\n O(n)の前計算を1回行うことで,O(1)でnCr mod mを求められる\n n_max = 10**6のとき前処理は約950ms (PyPyなら約340ms, 10**7で約1800ms)\n 使用例:\n comb = Combination(1000000)\n print(comb(5, 3)) # 10\n \"\"\"\n\n def __init__(self, n_max, mod=10 ** 9 + 7):\n self.mod = mod\n self.modinv = self.make_modinv_list(n_max)\n self.fac, self.facinv = self.make_factorial_list(n_max)\n\n def __call__(self, n, r):\n return self.fac[n] * self.facinv[r] % self.mod * self.facinv[n - r] % self.mod\n\n def make_factorial_list(self, n):\n # 階乗のリストと階乗のmod逆元のリストを返す O(n)\n # self.make_modinv_list()が先に実行されている必要がある\n fac = [1]\n facinv = [1]\n for i in range(1, n + 1):\n fac.append(fac[i - 1] * i % self.mod)\n facinv.append(facinv[i - 1] * self.modinv[i] % self.mod)\n return fac, facinv\n\n def make_modinv_list(self, n):\n # 0からnまでのmod逆元のリストを返す O(n)\n modinv = [0] * (n + 1)\n modinv[1] = 1\n for i in range(2, n + 1):\n modinv[i] = self.mod - self.mod // i * modinv[self.mod % i] % self.mod\n return modinv",
"class Combination:\n \"\"\"\n O(n)の前計算を1回行うことで,O(1)でnCr mod mを求められる\n n_max = 10**6のとき前処理は約950ms (PyPyなら約340ms, 10**7で約1800ms)\n 使用例:\n comb = Combination(1000000)\n print(comb(5, 3)) # 10\n \"\"\"\n\n def __init__(self, n_max, mod=10 ** 9 + 7):\n self.mod = mod\n self.modinv = self.make_modinv_list(n_max)\n self.fac, self.facinv = self.make_factorial_list(n_max)\n\n def __call__(self, n, r):\n return self.fac[n] * self.facinv[r] % self.mod * self.facinv[n - r] % self.mod\n\n def make_factorial_list(self, n):\n # 階乗のリストと階乗のmod逆元のリストを返す O(n)\n # self.make_modinv_list()が先に実行されている必要がある\n fac = [1]\n facinv = [1]\n for i in range(1, n + 1):\n fac.append(fac[i - 1] * i % self.mod)\n facinv.append(facinv[i - 1] * self.modinv[i] % self.mod)\n return fac, facinv\n\n def make_modinv_list(self, n):\n # 0からnまでのmod逆元のリストを返す O(n)\n modinv = [0] * (n + 1)\n modinv[1] = 1\n for i in range(2, n + 1):\n modinv[i] = self.mod - self.mod // i * modinv[self.mod % i] % self.mod\n return modinv",
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] | H,W,A,B = map(int,input().split())
class Combination:
"""
O(n)の前計算を1回行うことで,O(1)でnCr mod mを求められる
n_max = 10**6のとき前処理は約950ms (PyPyなら約340ms, 10**7で約1800ms)
使用例:
comb = Combination(1000000)
print(comb(5, 3)) # 10
"""
def __init__(self, n_max, mod=10 ** 9 + 7):
self.mod = mod
self.modinv = self.make_modinv_list(n_max)
self.fac, self.facinv = self.make_factorial_list(n_max)
def __call__(self, n, r):
return self.fac[n] * self.facinv[r] % self.mod * self.facinv[n - r] % self.mod
def make_factorial_list(self, n):
# 階乗のリストと階乗のmod逆元のリストを返す O(n)
# self.make_modinv_list()が先に実行されている必要がある
fac = [1]
facinv = [1]
for i in range(1, n + 1):
fac.append(fac[i - 1] * i % self.mod)
facinv.append(facinv[i - 1] * self.modinv[i] % self.mod)
return fac, facinv
def make_modinv_list(self, n):
# 0からnまでのmod逆元のリストを返す O(n)
modinv = [0] * (n + 1)
modinv[1] = 1
for i in range(2, n + 1):
modinv[i] = self.mod - self.mod // i * modinv[self.mod % i] % self.mod
return modinv
comb = Combination(1000000)
MOD = 10**9+7
ans = 0
for i in range(B,W):
ans += comb(H-A-1+i,i)*comb(A-1+W-1-i,A-1)
ans %= MOD
#print(comb(H-A-1+i,i)*comb(A-1+W-1-i,A-1))
print(ans)
|
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] | [
"class combnk_mod(object):\n # pが素数かつaとpが互いに素であるとき\n # フェルマーの小定理より以下が成り立つ.\n # 1 / a = a ** (p - 2) (mod p)\n # これを使って (1 / k!) mod p を計算する.\n def __init__(self, maxn, p):\n self.maxn = maxn\n self.p = p\n self.x = [1] # 分母にあたる数 1 / n! mod p\n self.y = [1] # 分子にあたる数. n! mod p\n for i in range(1, self.maxn + 1):\n self.x.append(self.x[-1] * pow(i, self.p - 2, self.p) % self.p)\n self.y.append(self.y[-1] * i % self.p)\n\n def combnk(self, n, k):\n return (self.x[n - k] * self.x[k] * self.y[n]) % self.p\n\nh, w, a, b = map(int, input().split())\nMOD = 10 ** 9 + 7\nc = combnk_mod(h + w, MOD)\nans = 0\nfor i in range(b + 1, w + 1):\n ans += c.combnk(h - a + i - 2, i - 1) * c.combnk(a + w - i - 1, a - 1) % MOD\n ans %= MOD\nprint(ans)",
"class combnk_mod(object):\n # pが素数かつaとpが互いに素であるとき\n # フェルマーの小定理より以下が成り立つ.\n # 1 / a = a ** (p - 2) (mod p)\n # これを使って (1 / k!) mod p を計算する.\n def __init__(self, maxn, p):\n self.maxn = maxn\n self.p = p\n self.x = [1] # 分母にあたる数 1 / n! mod p\n self.y = [1] # 分子にあたる数. n! mod p\n for i in range(1, self.maxn + 1):\n self.x.append(self.x[-1] * pow(i, self.p - 2, self.p) % self.p)\n self.y.append(self.y[-1] * i % self.p)\n\n def combnk(self, n, k):\n return (self.x[n - k] * self.x[k] * self.y[n]) % self.p",
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"def __init__(self, maxn, p):\n self.maxn = maxn\n self.p = p\n self.x = [1] # 分母にあたる数 1 / n! mod p\n self.y = [1] # 分子にあたる数. n! mod p\n for i in range(1, self.maxn + 1):\n self.x.append(self.x[-1] * pow(i, self.p - 2, self.p) % self.p)\n self.y.append(self.y[-1] * i % self.p)\n\n ",
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"class combnk_mod(object):\n # pが素数かつaとpが互いに素であるとき\n # フェルマーの小定理より以下が成り立つ.\n # 1 / a = a ** (p - 2) (mod p)\n # これを使って (1 / k!) mod p を計算する.\n def __init__(self, maxn, p):\n self.maxn = maxn\n self.p = p\n self.x = [1] # 分母にあたる数 1 / n! mod p\n self.y = [1] # 分子にあたる数. n! mod p\n for i in range(1, self.maxn + 1):\n self.x.append(self.x[-1] * pow(i, self.p - 2, self.p) % self.p)\n self.y.append(self.y[-1] * i % self.p)\n\n def combnk(self, n, k):\n return (self.x[n - k] * self.x[k] * self.y[n]) % self.p",
"class combnk_mod(object):\n # pが素数かつaとpが互いに素であるとき\n # フェルマーの小定理より以下が成り立つ.\n # 1 / a = a ** (p - 2) (mod p)\n # これを使って (1 / k!) mod p を計算する.\n def __init__(self, maxn, p):\n self.maxn = maxn\n self.p = p\n self.x = [1] # 分母にあたる数 1 / n! mod p\n self.y = [1] # 分子にあたる数. n! mod p\n for i in range(1, self.maxn + 1):\n self.x.append(self.x[-1] * pow(i, self.p - 2, self.p) % self.p)\n self.y.append(self.y[-1] * i % self.p)\n\n def combnk(self, n, k):\n return (self.x[n - k] * self.x[k] * self.y[n]) % self.p",
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"ans",
"b = map(int, input().split())",
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"b",
"ans = 0",
"0",
"ans"
] | class combnk_mod(object):
# pが素数かつaとpが互いに素であるとき
# フェルマーの小定理より以下が成り立つ.
# 1 / a = a ** (p - 2) (mod p)
# これを使って (1 / k!) mod p を計算する.
def __init__(self, maxn, p):
self.maxn = maxn
self.p = p
self.x = [1] # 分母にあたる数 1 / n! mod p
self.y = [1] # 分子にあたる数. n! mod p
for i in range(1, self.maxn + 1):
self.x.append(self.x[-1] * pow(i, self.p - 2, self.p) % self.p)
self.y.append(self.y[-1] * i % self.p)
def combnk(self, n, k):
return (self.x[n - k] * self.x[k] * self.y[n]) % self.p
h, w, a, b = map(int, input().split())
MOD = 10 ** 9 + 7
c = combnk_mod(h + w, MOD)
ans = 0
for i in range(b + 1, w + 1):
ans += c.combnk(h - a + i - 2, i - 1) * c.combnk(a + w - i - 1, a - 1) % MOD
ans %= MOD
print(ans)
|
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"# coding: UTF-8\nimport numpy as np\n\nMOD = int(1e+9+7)\nH, W, A, B = map(int, input().split())\n\nfact = [1]\nfor i in range(1, W+H-1):\n fact.append((fact[-1]*i) % MOD)\n\nifact = [pow(fact[-1], MOD-2, MOD)]\nfor i in reversed(range(1, W+H-1)):\n ifact.append((ifact[-1]*i) % MOD)\nifact.reverse()\n\n\ndef comb(n, r):\n return fact[n]*ifact[n-r]*ifact[r]\n\n\nr = H-A-1\ns = 0\nfor c in range(B, W):\n s += comb(c+r, r) * comb(W-c+A-2, A-1)\n s %= MOD\n\nprint(int(s))",
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"for c in range(B, W):\n s += comb(c+r, r) * comb(W-c+A-2, A-1)\n s %= MOD",
"c",
"range(B, W)",
"range",
"B",
"W",
"s += comb(c+r, r) * comb(W-c+A-2, A-1)",
"s",
"comb(c+r, r) * comb(W-c+A-2, A-1)",
"comb(c+r, r)",
"comb",
"c+r",
"c",
"r",
"r",
"comb(W-c+A-2, A-1)",
"comb",
"W-c+A-2",
"W-c+A",
"W-c",
"W",
"c",
"A",
"2",
"A-1",
"A",
"1",
"s %= MOD",
"s",
"MOD",
"print(int(s))",
"print",
"int(s)",
"int",
"s",
"fact = [1]",
"[1]",
"fact",
"r = H-A-1",
"H-A-1",
"r",
"ifact = [pow(fact[-1], MOD-2, MOD)]",
"[pow(fact[-1], MOD-2, MOD)]",
"ifact",
"MOD = int(1e+9+7)",
"int(1e+9+7)",
"MOD",
"W, A, B = map(int, input().split())",
"map(int, input().split())",
"W",
"A, B = map(int, input().split())",
"map(int, input().split())",
"A",
"B = map(int, input().split())",
"map(int, input().split())",
"B",
"def comb(n, r):\n return fact[n]*ifact[n-r]*ifact[r]",
"def comb(n, r):\n return fact[n]*ifact[n-r]*ifact[r]",
"comb",
"s %= MOD",
"MOD",
"s",
"s += comb(c+r, r) * comb(W-c+A-2, A-1)",
"comb(c+r, r) * comb(W-c+A-2, A-1)",
"s",
"H, W, A, B = map(int, input().split())",
"map(int, input().split())",
"H",
"s = 0",
"0",
"s"
] | # coding: UTF-8
import numpy as np
MOD = int(1e+9+7)
H, W, A, B = map(int, input().split())
fact = [1]
for i in range(1, W+H-1):
fact.append((fact[-1]*i) % MOD)
ifact = [pow(fact[-1], MOD-2, MOD)]
for i in reversed(range(1, W+H-1)):
ifact.append((ifact[-1]*i) % MOD)
ifact.reverse()
def comb(n, r):
return fact[n]*ifact[n-r]*ifact[r]
r = H-A-1
s = 0
for c in range(B, W):
s += comb(c+r, r) * comb(W-c+A-2, A-1)
s %= MOD
print(int(s))
|
[
7,
0,
13,
2,
2,
17,
17,
17,
12,
13,
14,
2,
13,
17,
29,
17,
29,
2,
2,
2,
4,
13,
13,
2,
13,
17,
17,
2,
13,
2,
13,
17,
13,
23,
13,
23,
13,
0,
13,
4,
13,
13,
4,
18,
4,
13,
13,
13,
13,
13,
41,
28,
13,
4,
13,
2,
2,
13,
13,
17,
4,
17,
0,
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0,
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0,
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2,
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18,
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2,
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2,
2,
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2,
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17,
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18,
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2,
13,
17,
13,
13,
0,
13,
13,
4,
13,
13,
10,
17,
13,
10,
12,
13,
10,
4,
13,
10,
13,
13,
10,
2,
13,
10,
2,
13,
10,
4,
13,
10,
13,
13,
10,
4,
13,
10,
4,
13,
10,
13,
13
] | [
[
240,
2
],
[
36,
12
],
[
34,
22
],
[
36,
24
],
[
34,
28
],
[
36,
30
],
[
241,
32
],
[
34,
34
],
[
36,
36
],
[
255,
38
],
[
255,
47
],
[
255,
48
],
[
255,
49
],
[
53,
52
],
[
247,
57
],
[
235,
58
],
[
258,
63
],
[
69,
66
],
[
259,
67
],
[
72,
71
],
[
247,
76
],
[
235,
77
],
[
85,
80
],
[
259,
81
],
[
71,
83
],
[
259,
88
],
[
71,
89
],
[
71,
91
],
[
241,
93
],
[
97,
96
],
[
247,
101
],
[
235,
102
],
[
249,
107
],
[
117,
110
],
[
250,
111
],
[
247,
114
],
[
235,
115
],
[
232,
118
],
[
259,
120
],
[
247,
123
],
[
235,
124
],
[
241,
127
],
[
131,
130
],
[
247,
135
],
[
235,
136
],
[
146,
141
],
[
250,
142
],
[
130,
144
],
[
250,
149
],
[
130,
150
],
[
130,
151
],
[
241,
152
],
[
228,
154
],
[
158,
157
],
[
256,
160
],
[
235,
161
],
[
243,
163
],
[
259,
171
],
[
247,
175
],
[
253,
176
],
[
157,
178
],
[
250,
180
],
[
247,
183
],
[
253,
184
],
[
241,
186
],
[
250,
188
],
[
157,
189
],
[
241,
190
],
[
259,
196
],
[
235,
201
],
[
157,
203
],
[
253,
204
],
[
250,
207
],
[
235,
210
],
[
157,
212
],
[
241,
213
],
[
250,
215
],
[
253,
217
],
[
241,
219
],
[
241,
220
],
[
237,
222
],
[
241,
223
],
[
238,
226
],
[
244,
226
],
[
229,
226
],
[
228,
229
],
[
255,
235
],
[
241,
237
],
[
237,
238
],
[
240,
241
],
[
243,
244
],
[
255,
247
],
[
249,
250
],
[
255,
253
],
[
255,
256
],
[
258,
259
]
] | [
"K = 10 ** 9 + 7\n\ndef pow_K(x, n):\n if n == 0:\n return 1\n else:\n return (pow_K(x, n // 2) ** 2 * x ** (n % 2)) % K\n\nH, W, A, B = map(int, input().split())\n\nfact = [0 for i in range(H+W-1)]\nfact[0] = 1\nfor i in range(H+W-2):\n fact[i + 1] = fact[i] * (i+1) % K\nfact_inv = [0 for i in range(H+W-1)]\nfact_inv[H+W-2] = pow_K(fact[H+W-2], K-2)\nfor i in range(H+W-2, 0, -1):\n fact_inv[i-1] = fact_inv[i] * i % K\n\nr = 0\nfor i in range(B, W):\n r += ((fact[H-A-1+i] * fact_inv[H-A-1] %K)*fact_inv[i] % K) * ((fact[W-1-i+A-1] * fact_inv[W-1-i] %K) * fact_inv[A-1] % K) %K\n r %= K\n\nprint(r)\n\n",
"K = 10 ** 9 + 7",
"K",
"10 ** 9 + 7",
"10 ** 9",
"10",
"9",
"7",
"def pow_K(x, n):\n if n == 0:\n return 1\n else:\n return (pow_K(x, n // 2) ** 2 * x ** (n % 2)) % K",
"pow_K",
"if n == 0:\n return 1\n else:\n return (pow_K(x, n // 2) ** 2 * x ** (n % 2)) % K",
"n == 0",
"n",
"0",
"return 1",
"1",
"return (pow_K(x, n // 2) ** 2 * x ** (n % 2)) % K",
"(pow_K(x, n // 2) ** 2 * x ** (n % 2)) % K",
"pow_K(x, n // 2) ** 2 * x ** (n % 2)",
"pow_K(x, n // 2) ** 2",
"pow_K(x, n // 2)",
"pow_K",
"x",
"n // 2",
"n",
"2",
"2",
"x ** (n % 2)",
"x",
"n % 2",
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"H, W, A, B = map(int, input().split())",
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"fact = [0 for i in range(H+W-1)]",
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"fact[0] = 1",
"fact[0]",
"fact",
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"1",
"for i in range(H+W-2):\n fact[i + 1] = fact[i] * (i+1) % K",
"i",
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"fact[i] * (i+1)",
"fact[i]",
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"H+W",
"H",
"W",
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"0",
"fact_inv = [0 for i in range(H+W-1)]",
"fact_inv",
"[0 for i in range(H+W-1)]",
"fact_inv[H+W-2] = pow_K(fact[H+W-2], K-2)",
"fact_inv[H+W-2]",
"fact_inv",
"H+W-2",
"H+W",
"H",
"W",
"2",
"pow_K(fact[H+W-2], K-2)",
"pow_K",
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"H+W",
"H",
"W",
"2",
"K-2",
"K",
"2",
"for i in range(H+W-2, 0, -1):\n fact_inv[i-1] = fact_inv[i] * i % K",
"i",
"range(H+W-2, 0, -1)",
"range",
"H+W-2",
"H+W",
"H",
"W",
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"fact_inv[i-1]",
"fact_inv",
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"i",
"1",
"fact_inv[i] * i % K",
"fact_inv[i] * i",
"fact_inv[i]",
"fact_inv",
"i",
"i",
"K",
"r = 0",
"r",
"0",
"for i in range(B, W):\n r += ((fact[H-A-1+i] * fact_inv[H-A-1] %K)*fact_inv[i] % K) * ((fact[W-1-i+A-1] * fact_inv[W-1-i] %K) * fact_inv[A-1] % K) %K\n r %= K",
"i",
"range(B, W)",
"range",
"B",
"W",
"r += ((fact[H-A-1+i] * fact_inv[H-A-1] %K)*fact_inv[i] % K) * ((fact[W-1-i+A-1] * fact_inv[W-1-i] %K) * fact_inv[A-1] % K) %K",
"r",
"((fact[H-A-1+i] * fact_inv[H-A-1] %K)*fact_inv[i] % K) * ((fact[W-1-i+A-1] * fact_inv[W-1-i] %K) * fact_inv[A-1] % K) %K",
"((fact[H-A-1+i] * fact_inv[H-A-1] %K)*fact_inv[i] % K) * ((fact[W-1-i+A-1] * fact_inv[W-1-i] %K) * fact_inv[A-1] % K)",
"(fact[H-A-1+i] * fact_inv[H-A-1] %K)*fact_inv[i] % K",
"(fact[H-A-1+i] * fact_inv[H-A-1] %K)*fact_inv[i]",
"fact[H-A-1+i] * fact_inv[H-A-1] %K",
"fact[H-A-1+i] * fact_inv[H-A-1]",
"fact[H-A-1+i]",
"fact",
"H-A-1+i",
"H-A-1",
"H-A",
"H",
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"fact_inv",
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"(fact[W-1-i+A-1] * fact_inv[W-1-i] %K) * fact_inv[A-1]",
"fact[W-1-i+A-1] * fact_inv[W-1-i] %K",
"fact[W-1-i+A-1] * fact_inv[W-1-i]",
"fact[W-1-i+A-1]",
"fact",
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"fact_inv",
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"K",
"r %= K",
"r",
"K",
"print(r)",
"print",
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"r = 0",
"0",
"r",
"def pow_K(x, n):\n if n == 0:\n return 1\n else:\n return (pow_K(x, n // 2) ** 2 * x ** (n % 2)) % K",
"def pow_K(x, n):\n if n == 0:\n return 1\n else:\n return (pow_K(x, n // 2) ** 2 * x ** (n % 2)) % K",
"pow_K",
"W, A, B = map(int, input().split())",
"map(int, input().split())",
"W",
"r %= K",
"K",
"r",
"K = 10 ** 9 + 7",
"10 ** 9 + 7",
"K",
"r += ((fact[H-A-1+i] * fact_inv[H-A-1] %K)*fact_inv[i] % K) * ((fact[W-1-i+A-1] * fact_inv[W-1-i] %K) * fact_inv[A-1] % K) %K",
"((fact[H-A-1+i] * fact_inv[H-A-1] %K)*fact_inv[i] % K) * ((fact[W-1-i+A-1] * fact_inv[W-1-i] %K) * fact_inv[A-1] % K) %K",
"r",
"H, W, A, B = map(int, input().split())",
"map(int, input().split())",
"H",
"fact_inv = [0 for i in range(H+W-1)]",
"[0 for i in range(H+W-1)]",
"fact_inv",
"A, B = map(int, input().split())",
"map(int, input().split())",
"A",
"B = map(int, input().split())",
"map(int, input().split())",
"B",
"fact = [0 for i in range(H+W-1)]",
"[0 for i in range(H+W-1)]",
"fact"
] | K = 10 ** 9 + 7
def pow_K(x, n):
if n == 0:
return 1
else:
return (pow_K(x, n // 2) ** 2 * x ** (n % 2)) % K
H, W, A, B = map(int, input().split())
fact = [0 for i in range(H+W-1)]
fact[0] = 1
for i in range(H+W-2):
fact[i + 1] = fact[i] * (i+1) % K
fact_inv = [0 for i in range(H+W-1)]
fact_inv[H+W-2] = pow_K(fact[H+W-2], K-2)
for i in range(H+W-2, 0, -1):
fact_inv[i-1] = fact_inv[i] * i % K
r = 0
for i in range(B, W):
r += ((fact[H-A-1+i] * fact_inv[H-A-1] %K)*fact_inv[i] % K) * ((fact[W-1-i+A-1] * fact_inv[W-1-i] %K) * fact_inv[A-1] % K) %K
r %= K
print(r)
|
[
7,
0,
13,
17,
12,
13,
17,
0,
13,
17,
0,
13,
13,
42,
2,
13,
17,
14,
2,
13,
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0,
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2,
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2,
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] | [
"MOD = 1000000007\n\n\ndef mod_pow(a, n, mod):\n \"\"\"\n 二分累乗法による a^n (mod m)の実装\n\n :param a: 累乗の底\n :param n: 累乗の指数\n :param mod: 法\n :return: a^n (mod m)\n \"\"\"\n\n result = 1\n a_n = a\n while n > 0:\n if n & 1:\n result = result * a_n % mod\n a_n = a_n * a_n % mod\n n >>= 1\n return result\n\n\ndef mod_inverse(a, mod):\n \"\"\"\n フェルマーの小定理による a^-1 ≡ 1 (mod m)の実装\n aの逆元を計算する\n\n a^-1 ≡ 1 (mod m)\n a * a^-2 ≡ 1 (mod m)\n a^-2 ≡ a^-1 (mod m)\n\n :param a: 逆元を計算したい数\n :param mod: 法\n :return: a^-1 ≡ 1 (mod m)\n \"\"\"\n\n return mod_pow(a=a, n=mod - 2, mod=mod)\n\n\nclass ModCombination:\n \"\"\"\n nCk (mod m)を扱うクラス\n \"\"\"\n\n def __init__(self, mod, n_max):\n \"\"\"\n イニシャライザ\n 予め 1~nの階乗と階乗の逆元を計算しておく\n\n :param mod: 法\n :param n_max: nの最大値(100,000で約1秒)\n \"\"\"\n self.mod = mod\n self.n_max = n_max\n self.facts = [1, 1]\n self.inverses = [None, 1]\n self.fact_inverses = [1, 1]\n\n for i in range(2, self.n_max + 1):\n self.facts.append(self.facts[i - 1] * i % self.mod)\n # self.inverses.append(mod_inverse(i, self.mod))\n self.inverses.append(self.mod - self.inverses[self.mod % i] * (\n self.mod // i) % self.mod)\n self.fact_inverses.append(\n self.fact_inverses[i - 1] * self.inverses[i] % self.mod\n )\n\n def mod_combination(self, n, k):\n \"\"\"\n nCk (mod m)を計算する\n\n :param n: n\n :param k: k\n :return: nCk (mod m)\n \"\"\"\n if not 0 < k < n:\n raise ValueError\n\n denominator = \\\n self.fact_inverses[k] * self.fact_inverses[n - k] % self.mod\n return self.facts[n] * denominator % self.mod\n\n\ndef calc_routes(combination, dx, dy):\n if dx == 0 or dy == 0:\n return 1\n else:\n return combination.mod_combination(dx + dy, dx)\n\n\ndef check(h, w, a, b):\n combination = ModCombination(mod=MOD, n_max=h + w)\n p = (b + 1, h - a)\n all_routes = 0\n while p[0] <= w and p[1] > 0:\n d1 = (p[0] - 1, p[1] - 1)\n d2 = (w - p[0], h - p[1])\n r1 = calc_routes(combination, *d1)\n r2 = calc_routes(combination, *d2)\n routes = r1 * r2 % MOD\n all_routes += routes\n all_routes %= MOD\n p = (p[0] + 1, p[1] - 1)\n return all_routes\n\n\ndef main():\n h, w, a, b = map(int, input().split())\n print(check(h, w, a, b))\n\n\nif __name__ == '__main__':\n main()",
"MOD = 1000000007",
"MOD",
"1000000007",
"def mod_pow(a, n, mod):\n \"\"\"\n 二分累乗法による a^n (mod m)の実装\n\n :param a: 累乗の底\n :param n: 累乗の指数\n :param mod: 法\n :return: a^n (mod m)\n \"\"\"\n\n result = 1\n a_n = a\n while n > 0:\n if n & 1:\n result = result * a_n % mod\n a_n = a_n * a_n % mod\n n >>= 1\n return result",
"mod_pow",
"\"\"\"\n 二分累乗法による a^n (mod m)の実装\n\n :param a: 累乗の底\n :param n: 累乗の指数\n :param mod: 法\n :return: a^n (mod m)\n \"\"\"",
"result = 1",
"result",
"1",
"a_n = a",
"a_n",
"a",
"while n > 0:\n if n & 1:\n result = result * a_n % mod\n a_n = a_n * a_n % mod\n n >>= 1\n ",
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"1",
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"def mod_inverse(a, mod):\n \"\"\"\n フェルマーの小定理による a^-1 ≡ 1 (mod m)の実装\n aの逆元を計算する\n\n a^-1 ≡ 1 (mod m)\n a * a^-2 ≡ 1 (mod m)\n a^-2 ≡ a^-1 (mod m)\n\n :param a: 逆元を計算したい数\n :param mod: 法\n :return: a^-1 ≡ 1 (mod m)\n \"\"\"\n\n return mod_pow(a=a, n=mod - 2, mod=mod)",
"mod_inverse",
"\"\"\"\n フェルマーの小定理による a^-1 ≡ 1 (mod m)の実装\n aの逆元を計算する\n\n a^-1 ≡ 1 (mod m)\n a * a^-2 ≡ 1 (mod m)\n a^-2 ≡ a^-1 (mod m)\n\n :param a: 逆元を計算したい数\n :param mod: 法\n :return: a^-1 ≡ 1 (mod m)\n \"\"\"",
"return mod_pow(a=a, n=mod - 2, mod=mod)",
"mod_pow(a=a, n=mod - 2, mod=mod)",
"mod_pow",
"a=a",
"a",
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"mod",
"class ModCombination:\n \"\"\"\n nCk (mod m)を扱うクラス\n \"\"\"\n\n def __init__(self, mod, n_max):\n \"\"\"\n イニシャライザ\n 予め 1~nの階乗と階乗の逆元を計算しておく\n\n :param mod: 法\n :param n_max: nの最大値(100,000で約1秒)\n \"\"\"\n self.mod = mod\n self.n_max = n_max\n self.facts = [1, 1]\n self.inverses = [None, 1]\n self.fact_inverses = [1, 1]\n\n for i in range(2, self.n_max + 1):\n self.facts.append(self.facts[i - 1] * i % self.mod)\n # self.inverses.append(mod_inverse(i, self.mod))\n self.inverses.append(self.mod - self.inverses[self.mod % i] * (\n self.mod // i) % self.mod)\n self.fact_inverses.append(\n self.fact_inverses[i - 1] * self.inverses[i] % self.mod\n )\n\n def mod_combination(self, n, k):\n \"\"\"\n nCk (mod m)を計算する\n\n :param n: n\n :param k: k\n :return: nCk (mod m)\n \"\"\"\n if not 0 < k < n:\n raise ValueError\n\n denominator = \\\n self.fact_inverses[k] * self.fact_inverses[n - k] % self.mod\n return self.facts[n] * denominator % self.mod",
"ModCombination",
"\"\"\"\n nCk (mod m)を扱うクラス\n \"\"\"",
"def __init__(self, mod, n_max):\n \"\"\"\n イニシャライザ\n 予め 1~nの階乗と階乗の逆元を計算しておく\n\n :param mod: 法\n :param n_max: nの最大値(100,000で約1秒)\n \"\"\"\n self.mod = mod\n self.n_max = n_max\n self.facts = [1, 1]\n self.inverses = [None, 1]\n self.fact_inverses = [1, 1]\n\n for i in range(2, self.n_max + 1):\n self.facts.append(self.facts[i - 1] * i % self.mod)\n # self.inverses.append(mod_inverse(i, self.mod))\n self.inverses.append(self.mod - self.inverses[self.mod % i] * (\n self.mod // i) % self.mod)\n self.fact_inverses.append(\n self.fact_inverses[i - 1] * self.inverses[i] % self.mod\n )\n\n ",
"__init__",
"\"\"\"\n イニシャライザ\n 予め 1~nの階乗と階乗の逆元を計算しておく\n\n :param mod: 法\n :param n_max: nの最大値(100,000で約1秒)\n \"\"\"",
"self.mod = mod",
"self.mod",
"self",
"mod",
"mod",
"self.n_max = n_max",
"self.n_max",
"self",
"n_max",
"n_max",
"self.facts = [1, 1]",
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"facts",
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"1",
"self.inverses = [None, 1]",
"self.inverses",
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"1",
"self.fact_inverses = [1, 1]",
"self.fact_inverses",
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"1",
"1",
"for i in range(2, self.n_max + 1):\n self.facts.append(self.facts[i - 1] * i % self.mod)\n # self.inverses.append(mod_inverse(i, self.mod))\n self.inverses.append(self.mod - self.inverses[self.mod % i] * (\n self.mod // i) % self.mod)\n self.fact_inverses.append(\n self.fact_inverses[i - 1] * self.inverses[i] % self.mod\n )\n\n ",
"i",
"range(2, self.n_max + 1)",
"range",
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"self.n_max + 1",
"self.n_max",
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"self",
"facts",
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"self.facts[i - 1] * i",
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"self.fact_inverses.append(\n self.fact_inverses[i - 1] * self.inverses[i] % self.mod\n )",
"self.fact_inverses.append",
"self.fact_inverses",
"self",
"fact_inverses",
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"self.fact_inverses[i - 1] * self.inverses[i] % self.mod",
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"n_max",
"def mod_combination(self, n, k):\n \"\"\"\n nCk (mod m)を計算する\n\n :param n: n\n :param k: k\n :return: nCk (mod m)\n \"\"\"\n if not 0 < k < n:\n raise ValueError\n\n denominator = \\\n self.fact_inverses[k] * self.fact_inverses[n - k] % self.mod\n return self.facts[n] * denominator % self.mod",
"mod_combination",
"\"\"\"\n nCk (mod m)を計算する\n\n :param n: n\n :param k: k\n :return: nCk (mod m)\n \"\"\"",
"if not 0 < k < n:\n raise ValueError\n\n ",
"not 0 < k < n",
"0 < k < n",
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"raise ValueError",
"ValueError",
"denominator = \\\n self.fact_inverses[k] * self.fact_inverses[n - k] % self.mod",
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"n",
"k",
"k",
"def calc_routes(combination, dx, dy):\n if dx == 0 or dy == 0:\n return 1\n else:\n return combination.mod_combination(dx + dy, dx)",
"calc_routes",
"if dx == 0 or dy == 0:\n return 1\n else:\n return combination.mod_combination(dx + dy, dx)",
"dx == 0 or dy == 0",
"dx == 0",
"dx",
"0",
"dy == 0",
"dy",
"0",
"return 1",
"1",
"return combination.mod_combination(dx + dy, dx)",
"combination.mod_combination(dx + dy, dx)",
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"combination",
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"dx",
"dy",
"dy",
"def check(h, w, a, b):\n combination = ModCombination(mod=MOD, n_max=h + w)\n p = (b + 1, h - a)\n all_routes = 0\n while p[0] <= w and p[1] > 0:\n d1 = (p[0] - 1, p[1] - 1)\n d2 = (w - p[0], h - p[1])\n r1 = calc_routes(combination, *d1)\n r2 = calc_routes(combination, *d2)\n routes = r1 * r2 % MOD\n all_routes += routes\n all_routes %= MOD\n p = (p[0] + 1, p[1] - 1)\n return all_routes",
"check",
"combination = ModCombination(mod=MOD, n_max=h + w)",
"combination",
"ModCombination(mod=MOD, n_max=h + w)",
"ModCombination",
"mod=MOD",
"mod",
"MOD",
"n_max=h + w",
"n_max",
"h + w",
"h",
"w",
"p = (b + 1, h - a)",
"p",
"(b + 1, h - a)",
"b + 1",
"b",
"1",
"h - a",
"h",
"a",
"all_routes = 0",
"all_routes",
"0",
"while p[0] <= w and p[1] > 0:\n d1 = (p[0] - 1, p[1] - 1)\n d2 = (w - p[0], h - p[1])\n r1 = calc_routes(combination, *d1)\n r2 = calc_routes(combination, *d2)\n routes = r1 * r2 % MOD\n all_routes += routes\n all_routes %= MOD\n p = (p[0] + 1, p[1] - 1)\n ",
"p[0] <= w and p[1] > 0",
"p[0] <= w",
"p[0]",
"p",
"0",
"w",
"p[1] > 0",
"p[1]",
"p",
"1",
"0",
"d1 = (p[0] - 1, p[1] - 1)",
"d1",
"(p[0] - 1, p[1] - 1)",
"p[0] - 1",
"p[0]",
"p",
"0",
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"p[1] - 1",
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"1",
"d2 = (w - p[0], h - p[1])",
"d2",
"(w - p[0], h - p[1])",
"w - p[0]",
"w",
"p[0]",
"p",
"0",
"h - p[1]",
"h",
"p[1]",
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"r1 = calc_routes(combination, *d1)",
"r1",
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"calc_routes",
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"r2 = calc_routes(combination, *d2)",
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"routes = r1 * r2 % MOD",
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"r1",
"r2",
"MOD",
"all_routes += routes",
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"routes",
"all_routes %= MOD",
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"p = (p[0] + 1, p[1] - 1)",
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"(p[0] + 1, p[1] - 1)",
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"p[0]",
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"h",
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"w",
"a",
"a",
"b",
"b",
"def main():\n h, w, a, b = map(int, input().split())\n print(check(h, w, a, b))",
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"if __name__ == '__main__':\n main()",
"__name__ == '__main__'",
"__name__",
"'__main__'",
"main()",
"main",
"MOD = 1000000007",
"1000000007",
"MOD",
"def main():\n h, w, a, b = map(int, input().split())\n print(check(h, w, a, b))",
"def main():\n h, w, a, b = map(int, input().split())\n print(check(h, w, a, b))",
"main",
"def check(h, w, a, b):\n combination = ModCombination(mod=MOD, n_max=h + w)\n p = (b + 1, h - a)\n all_routes = 0\n while p[0] <= w and p[1] > 0:\n d1 = (p[0] - 1, p[1] - 1)\n d2 = (w - p[0], h - p[1])\n r1 = calc_routes(combination, *d1)\n r2 = calc_routes(combination, *d2)\n routes = r1 * r2 % MOD\n all_routes += routes\n all_routes %= MOD\n p = (p[0] + 1, p[1] - 1)\n return all_routes",
"def check(h, w, a, b):\n combination = ModCombination(mod=MOD, n_max=h + w)\n p = (b + 1, h - a)\n all_routes = 0\n while p[0] <= w and p[1] > 0:\n d1 = (p[0] - 1, p[1] - 1)\n d2 = (w - p[0], h - p[1])\n r1 = calc_routes(combination, *d1)\n r2 = calc_routes(combination, *d2)\n routes = r1 * r2 % MOD\n all_routes += routes\n all_routes %= MOD\n p = (p[0] + 1, p[1] - 1)\n return all_routes",
"check",
"def mod_pow(a, n, mod):\n \"\"\"\n 二分累乗法による a^n (mod m)の実装\n\n :param a: 累乗の底\n :param n: 累乗の指数\n :param mod: 法\n :return: a^n (mod m)\n \"\"\"\n\n result = 1\n a_n = a\n while n > 0:\n if n & 1:\n result = result * a_n % mod\n a_n = a_n * a_n % mod\n n >>= 1\n return result",
"def mod_pow(a, n, mod):\n \"\"\"\n 二分累乗法による a^n (mod m)の実装\n\n :param a: 累乗の底\n :param n: 累乗の指数\n :param mod: 法\n :return: a^n (mod m)\n \"\"\"\n\n result = 1\n a_n = a\n while n > 0:\n if n & 1:\n result = result * a_n % mod\n a_n = a_n * a_n % mod\n n >>= 1\n return result",
"mod_pow",
"class ModCombination:\n \"\"\"\n nCk (mod m)を扱うクラス\n \"\"\"\n\n def __init__(self, mod, n_max):\n \"\"\"\n イニシャライザ\n 予め 1~nの階乗と階乗の逆元を計算しておく\n\n :param mod: 法\n :param n_max: nの最大値(100,000で約1秒)\n \"\"\"\n self.mod = mod\n self.n_max = n_max\n self.facts = [1, 1]\n self.inverses = [None, 1]\n self.fact_inverses = [1, 1]\n\n for i in range(2, self.n_max + 1):\n self.facts.append(self.facts[i - 1] * i % self.mod)\n # self.inverses.append(mod_inverse(i, self.mod))\n self.inverses.append(self.mod - self.inverses[self.mod % i] * (\n self.mod // i) % self.mod)\n self.fact_inverses.append(\n self.fact_inverses[i - 1] * self.inverses[i] % self.mod\n )\n\n def mod_combination(self, n, k):\n \"\"\"\n nCk (mod m)を計算する\n\n :param n: n\n :param k: k\n :return: nCk (mod m)\n \"\"\"\n if not 0 < k < n:\n raise ValueError\n\n denominator = \\\n self.fact_inverses[k] * self.fact_inverses[n - k] % self.mod\n return self.facts[n] * denominator % self.mod",
"class ModCombination:\n \"\"\"\n nCk (mod m)を扱うクラス\n \"\"\"\n\n def __init__(self, mod, n_max):\n \"\"\"\n イニシャライザ\n 予め 1~nの階乗と階乗の逆元を計算しておく\n\n :param mod: 法\n :param n_max: nの最大値(100,000で約1秒)\n \"\"\"\n self.mod = mod\n self.n_max = n_max\n self.facts = [1, 1]\n self.inverses = [None, 1]\n self.fact_inverses = [1, 1]\n\n for i in range(2, self.n_max + 1):\n self.facts.append(self.facts[i - 1] * i % self.mod)\n # self.inverses.append(mod_inverse(i, self.mod))\n self.inverses.append(self.mod - self.inverses[self.mod % i] * (\n self.mod // i) % self.mod)\n self.fact_inverses.append(\n self.fact_inverses[i - 1] * self.inverses[i] % self.mod\n )\n\n def mod_combination(self, n, k):\n \"\"\"\n nCk (mod m)を計算する\n\n :param n: n\n :param k: k\n :return: nCk (mod m)\n \"\"\"\n if not 0 < k < n:\n raise ValueError\n\n denominator = \\\n self.fact_inverses[k] * self.fact_inverses[n - k] % self.mod\n return self.facts[n] * denominator % self.mod",
"ModCombination",
"def calc_routes(combination, dx, dy):\n if dx == 0 or dy == 0:\n return 1\n else:\n return combination.mod_combination(dx + dy, dx)",
"def calc_routes(combination, dx, dy):\n if dx == 0 or dy == 0:\n return 1\n else:\n return combination.mod_combination(dx + dy, dx)",
"calc_routes",
"def mod_inverse(a, mod):\n \"\"\"\n フェルマーの小定理による a^-1 ≡ 1 (mod m)の実装\n aの逆元を計算する\n\n a^-1 ≡ 1 (mod m)\n a * a^-2 ≡ 1 (mod m)\n a^-2 ≡ a^-1 (mod m)\n\n :param a: 逆元を計算したい数\n :param mod: 法\n :return: a^-1 ≡ 1 (mod m)\n \"\"\"\n\n return mod_pow(a=a, n=mod - 2, mod=mod)",
"def mod_inverse(a, mod):\n \"\"\"\n フェルマーの小定理による a^-1 ≡ 1 (mod m)の実装\n aの逆元を計算する\n\n a^-1 ≡ 1 (mod m)\n a * a^-2 ≡ 1 (mod m)\n a^-2 ≡ a^-1 (mod m)\n\n :param a: 逆元を計算したい数\n :param mod: 法\n :return: a^-1 ≡ 1 (mod m)\n \"\"\"\n\n return mod_pow(a=a, n=mod - 2, mod=mod)",
"mod_inverse"
] | MOD = 1000000007
def mod_pow(a, n, mod):
"""
二分累乗法による a^n (mod m)の実装
:param a: 累乗の底
:param n: 累乗の指数
:param mod: 法
:return: a^n (mod m)
"""
result = 1
a_n = a
while n > 0:
if n & 1:
result = result * a_n % mod
a_n = a_n * a_n % mod
n >>= 1
return result
def mod_inverse(a, mod):
"""
フェルマーの小定理による a^-1 ≡ 1 (mod m)の実装
aの逆元を計算する
a^-1 ≡ 1 (mod m)
a * a^-2 ≡ 1 (mod m)
a^-2 ≡ a^-1 (mod m)
:param a: 逆元を計算したい数
:param mod: 法
:return: a^-1 ≡ 1 (mod m)
"""
return mod_pow(a=a, n=mod - 2, mod=mod)
class ModCombination:
"""
nCk (mod m)を扱うクラス
"""
def __init__(self, mod, n_max):
"""
イニシャライザ
予め 1~nの階乗と階乗の逆元を計算しておく
:param mod: 法
:param n_max: nの最大値(100,000で約1秒)
"""
self.mod = mod
self.n_max = n_max
self.facts = [1, 1]
self.inverses = [None, 1]
self.fact_inverses = [1, 1]
for i in range(2, self.n_max + 1):
self.facts.append(self.facts[i - 1] * i % self.mod)
# self.inverses.append(mod_inverse(i, self.mod))
self.inverses.append(self.mod - self.inverses[self.mod % i] * (
self.mod // i) % self.mod)
self.fact_inverses.append(
self.fact_inverses[i - 1] * self.inverses[i] % self.mod
)
def mod_combination(self, n, k):
"""
nCk (mod m)を計算する
:param n: n
:param k: k
:return: nCk (mod m)
"""
if not 0 < k < n:
raise ValueError
denominator = \
self.fact_inverses[k] * self.fact_inverses[n - k] % self.mod
return self.facts[n] * denominator % self.mod
def calc_routes(combination, dx, dy):
if dx == 0 or dy == 0:
return 1
else:
return combination.mod_combination(dx + dy, dx)
def check(h, w, a, b):
combination = ModCombination(mod=MOD, n_max=h + w)
p = (b + 1, h - a)
all_routes = 0
while p[0] <= w and p[1] > 0:
d1 = (p[0] - 1, p[1] - 1)
d2 = (w - p[0], h - p[1])
r1 = calc_routes(combination, *d1)
r2 = calc_routes(combination, *d2)
routes = r1 * r2 % MOD
all_routes += routes
all_routes %= MOD
p = (p[0] + 1, p[1] - 1)
return all_routes
def main():
h, w, a, b = map(int, input().split())
print(check(h, w, a, b))
if __name__ == '__main__':
main()
|
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7,
0,
13,
17,
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10,
2,
13,
10,
12,
13
] | [
[
207,
2
],
[
210,
5
],
[
210,
14
],
[
210,
15
],
[
210,
16
],
[
189,
18
],
[
23,
22
],
[
196,
27
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[
211,
28
],
[
190,
31
],
[
190,
36
],
[
22,
38
],
[
22,
40
],
[
208,
41
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[
61,
46
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[
61,
50
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[
61,
55
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[
59,
59
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[
61,
61
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[
204,
63
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[
196,
68
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[
211,
69
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[
78,
71
],
[
205,
72
],
[
196,
75
],
[
211,
76
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[
202,
79
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[
190,
81
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[
196,
84
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[
211,
85
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[
208,
88
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[
92,
91
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[
196,
96
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[
211,
97
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[
105,
102
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205,
103
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[
91,
104
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205,
108
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[
91,
110
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[
91,
113
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208,
115
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190,
123
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[
135,
124
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[
205,
126
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137,
127
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205,
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135,
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137,
132
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208,
133
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135,
135
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137,
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192,
139
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143,
142
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199,
146
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213,
152
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193,
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214,
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217,
158
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196,
163
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187,
164
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[
142,
166
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[
142,
169
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217,
172
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187,
176
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[
211,
178
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142,
179
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[
211,
181
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[
142,
182
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[
208,
183
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[
210,
187
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[
189,
190
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[
192,
193
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[
210,
196
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[
210,
199
],
[
204,
205
],
[
207,
208
],
[
210,
211
],
[
213,
214
]
] | [
"mod = 1000000007\nH, W, A, B = map(int, raw_input().split())\n\nfactorial = [1]\nfor n in xrange(1, H+W):\n factorial.append(factorial[n-1]*n%mod)\n\ndef power(x, y):\n if y == 0 : return 1\n elif y == 1 : return x % mod\n elif y % 2 == 0 : return power(x, y/2)**2 % mod\n else : return power(x, y/2)**2 * x % mod\n\ninverseFactorial = [0] * (H+W)\ninverseFactorial[H+W-1] = power(factorial[H+W-1], mod-2)\nfor n in xrange(H+W-2, -1, -1):\n inverseFactorial[n] = inverseFactorial[n+1] * (n+1) % mod\n\ndef combi(n, m):\n return factorial[n] * inverseFactorial[m] * inverseFactorial[n-m] % mod\n\nsum = 0\nfor i in xrange(B+1, W+1):\n sum = (sum + combi(H-A-1+i-1, i-1) * combi(A-1+W-i, W-i)) % mod\nprint sum",
"mod = 1000000007",
"mod",
"1000000007",
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"power",
"if y == 0 : return 1\n elif y == 1 : return x % mod\n elif y % 2 == 0 : return power(x, y/2)**2 % mod\n else : return power(x, y/2)**2 * x % mod",
"y == 0",
"y",
"0",
"elif y == 1 : return x % mod\n ",
"y == 1",
"y",
"1",
"elif y % 2 == 0 : return power(x, y/2)**2 % mod\n ",
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"0",
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"x",
"y",
"y",
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"[0]",
"0",
"H+W",
"H",
"W",
"inverseFactorial[H+W-1] = power(factorial[H+W-1], mod-2)",
"inverseFactorial[H+W-1]",
"inverseFactorial",
"H+W-1",
"H+W",
"H",
"W",
"1",
"power(factorial[H+W-1], mod-2)",
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"H+W",
"H",
"W",
"1",
"mod-2",
"mod",
"2",
"for n in xrange(H+W-2, -1, -1):\n inverseFactorial[n] = inverseFactorial[n+1] * (n+1) % mod",
"n",
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"H+W",
"H",
"W",
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"-1",
"-1",
"inverseFactorial[n] = inverseFactorial[n+1] * (n+1) % mod",
"inverseFactorial[n]",
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"inverseFactorial[n+1] * (n+1) % mod",
"inverseFactorial[n+1] * (n+1)",
"inverseFactorial[n+1]",
"inverseFactorial",
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"n",
"1",
"n+1",
"n",
"1",
"mod",
"def combi(n, m):\n return factorial[n] * inverseFactorial[m] * inverseFactorial[n-m] % mod",
"combi",
"return factorial[n] * inverseFactorial[m] * inverseFactorial[n-m] % mod",
"factorial[n] * inverseFactorial[m] * inverseFactorial[n-m] % mod",
"factorial[n] * inverseFactorial[m] * inverseFactorial[n-m]",
"factorial[n] * inverseFactorial[m]",
"factorial[n]",
"factorial",
"n",
"inverseFactorial[m]",
"inverseFactorial",
"m",
"inverseFactorial[n-m]",
"inverseFactorial",
"n-m",
"n",
"m",
"mod",
"n",
"n",
"m",
"m",
"sum = 0",
"sum",
"0",
"for i in xrange(B+1, W+1):\n sum = (sum + combi(H-A-1+i-1, i-1) * combi(A-1+W-i, W-i)) % mod",
"i",
"xrange(B+1, W+1)",
"xrange",
"B+1",
"B",
"1",
"W+1",
"W",
"1",
"sum = (sum + combi(H-A-1+i-1, i-1) * combi(A-1+W-i, W-i)) % mod",
"sum",
"(sum + combi(H-A-1+i-1, i-1) * combi(A-1+W-i, W-i)) % mod",
"sum + combi(H-A-1+i-1, i-1) * combi(A-1+W-i, W-i)",
"sum",
"combi(H-A-1+i-1, i-1) * combi(A-1+W-i, W-i)",
"combi(H-A-1+i-1, i-1)",
"combi",
"H-A-1+i-1",
"H-A-1+i",
"H-A-1",
"H-A",
"H",
"A",
"1",
"i",
"1",
"i-1",
"i",
"1",
"combi(A-1+W-i, W-i)",
"combi",
"A-1+W-i",
"A-1+W",
"A-1",
"A",
"1",
"W",
"i",
"W-i",
"W",
"i",
"mod",
"print",
"A, B = map(int, raw_input().split())",
"map(int, raw_input().split())",
"A",
"factorial = [1]",
"[1]",
"factorial",
"sum = 0",
"0",
"sum",
"H, W, A, B = map(int, raw_input().split())",
"map(int, raw_input().split())",
"H",
"B = map(int, raw_input().split())",
"map(int, raw_input().split())",
"B",
"def power(x, y):\n if y == 0 : return 1\n elif y == 1 : return x % mod\n elif y % 2 == 0 : return power(x, y/2)**2 % mod\n else : return power(x, y/2)**2 * x % mod",
"def power(x, y):\n if y == 0 : return 1\n elif y == 1 : return x % mod\n elif y % 2 == 0 : return power(x, y/2)**2 % mod\n else : return power(x, y/2)**2 * x % mod",
"power",
"inverseFactorial = [0] * (H+W)",
"[0] * (H+W)",
"inverseFactorial",
"mod = 1000000007",
"1000000007",
"mod",
"W, A, B = map(int, raw_input().split())",
"map(int, raw_input().split())",
"W",
"sum = (sum + combi(H-A-1+i-1, i-1) * combi(A-1+W-i, W-i)) % mod",
"(sum + combi(H-A-1+i-1, i-1) * combi(A-1+W-i, W-i)) % mod",
"sum",
"def combi(n, m):\n return factorial[n] * inverseFactorial[m] * inverseFactorial[n-m] % mod",
"def combi(n, m):\n return factorial[n] * inverseFactorial[m] * inverseFactorial[n-m] % mod",
"combi"
] | mod = 1000000007
H, W, A, B = map(int, raw_input().split())
factorial = [1]
for n in xrange(1, H+W):
factorial.append(factorial[n-1]*n%mod)
def power(x, y):
if y == 0 : return 1
elif y == 1 : return x % mod
elif y % 2 == 0 : return power(x, y/2)**2 % mod
else : return power(x, y/2)**2 * x % mod
inverseFactorial = [0] * (H+W)
inverseFactorial[H+W-1] = power(factorial[H+W-1], mod-2)
for n in xrange(H+W-2, -1, -1):
inverseFactorial[n] = inverseFactorial[n+1] * (n+1) % mod
def combi(n, m):
return factorial[n] * inverseFactorial[m] * inverseFactorial[n-m] % mod
sum = 0
for i in xrange(B+1, W+1):
sum = (sum + combi(H-A-1+i-1, i-1) * combi(A-1+W-i, W-i)) % mod
print sum |
[
7,
0,
13,
2,
2,
17,
17,
17,
0,
13,
39,
17,
0,
13,
39,
17,
0,
13,
17,
28,
13,
4,
13,
17,
17,
0,
13,
13,
0,
13,
13,
4,
18,
13,
13,
13,
4,
18,
13,
13,
4,
13,
13,
2,
13,
17,
13,
12,
13,
29,
2,
2,
2,
2,
18,
13,
13,
18,
13,
13,
13,
18,
13,
2,
13,
13,
13,
23,
13,
23,
13,
0,
13,
4,
13,
13,
4,
18,
4,
13,
13,
13,
13,
13,
0,
13,
17,
0,
13,
2,
13,
17,
0,
13,
17,
0,
13,
2,
2,
2,
2,
13,
13,
17,
13,
17,
0,
13,
2,
13,
17,
28,
13,
4,
13,
2,
13,
13,
0,
13,
4,
13,
13,
13,
0,
13,
4,
13,
13,
13,
0,
13,
2,
2,
13,
2,
13,
13,
13,
0,
13,
17,
0,
13,
17,
0,
13,
17,
0,
13,
17,
4,
13,
13,
10,
39,
13,
10,
4,
13,
10,
17,
13,
10,
2,
13,
10,
2,
13,
10,
13,
13,
10,
17,
13,
10,
39,
13,
10,
4,
13,
10,
2,
13,
10,
17,
13,
10,
17,
13,
10,
17,
13,
10,
2,
13,
10,
2,
13,
10,
13,
13,
10,
4,
13,
10,
12,
13,
10,
17,
13,
10,
4,
13,
10,
4,
13,
10,
17,
13,
10,
4,
13
] | [
[
164,
2
],
[
155,
9
],
[
176,
13
],
[
173,
17
],
[
21,
20
],
[
170,
26
],
[
20,
27
],
[
200,
29
],
[
165,
30
],
[
156,
33
],
[
201,
35
],
[
171,
35
],
[
174,
35
],
[
177,
38
],
[
201,
42
],
[
171,
42
],
[
174,
42
],
[
165,
44
],
[
165,
46
],
[
156,
55
],
[
68,
56
],
[
177,
58
],
[
70,
59
],
[
165,
60
],
[
177,
62
],
[
68,
64
],
[
70,
65
],
[
165,
66
],
[
68,
68
],
[
70,
70
],
[
221,
72
],
[
221,
81
],
[
221,
82
],
[
221,
83
],
[
188,
85
],
[
167,
88
],
[
204,
90
],
[
185,
93
],
[
194,
96
],
[
159,
101
],
[
204,
102
],
[
216,
104
],
[
197,
107
],
[
216,
109
],
[
113,
112
],
[
216,
116
],
[
222,
117
],
[
212,
119
],
[
207,
121
],
[
168,
122
],
[
192,
122
],
[
186,
123
],
[
162,
123
],
[
179,
125
],
[
207,
127
],
[
195,
128
],
[
210,
128
],
[
198,
129
],
[
219,
129
],
[
182,
131
],
[
189,
134
],
[
183,
134
],
[
213,
136
],
[
180,
137
],
[
165,
138
],
[
191,
140
],
[
161,
143
],
[
218,
146
],
[
209,
149
],
[
183,
153
],
[
189,
153
],
[
155,
156
],
[
221,
159
],
[
161,
162
],
[
164,
165
],
[
167,
168
],
[
20,
170
],
[
170,
171
],
[
173,
174
],
[
176,
177
],
[
179,
180
],
[
182,
183
],
[
185,
186
],
[
188,
189
],
[
191,
192
],
[
194,
195
],
[
197,
198
],
[
165,
200
],
[
200,
201
],
[
221,
204
],
[
209,
210
],
[
212,
213
],
[
221,
216
],
[
218,
219
],
[
221,
222
]
] | [
"P = 10**9+7\nfac = [1]\nifac = [1]\nff = 1\nfor i in range(1,200001):\n ff *= i\n ff %= P\n fac.append(ff)\n ifac.append(pow(ff, P-2, P))\ndef ncr(n, r): \n return (fac[n] * ifac[r] % P * ifac[n-r] % P);\n\nh,w,a,b = map(int,input().split())\ns = 0\nnC = b-1\nkC = 0\nnD = w-b-1+h-1\nkD = h-1\nfor i in range(h-a):\n C = ncr(nC, kC)\n D = ncr(nD, kD)\n s = (s + C * D) % P\n nC += 1\n kC += 1\n kD -= 1\n nD -= 1\nprint(s)",
"P = 10**9+7",
"P",
"10**9+7",
"10**9",
"10",
"9",
"7",
"fac = [1]",
"fac",
"[1]",
"1",
"ifac = [1]",
"ifac",
"[1]",
"1",
"ff = 1",
"ff",
"1",
"for i in range(1,200001):\n ff *= i\n ff %= P\n fac.append(ff)\n ifac.append(pow(ff, P-2, P))",
"i",
"range(1,200001)",
"range",
"1",
"200001",
"ff *= i",
"ff",
"i",
"ff %= P",
"ff",
"P",
"fac.append(ff)",
"fac.append",
"fac",
"append",
"ff",
"ifac.append(pow(ff, P-2, P))",
"ifac.append",
"ifac",
"append",
"pow(ff, P-2, P)",
"pow",
"ff",
"P-2",
"P",
"2",
"P",
"def ncr(n, r): \n return (fac[n] * ifac[r] % P * ifac[n-r] % P);",
"ncr",
"return (fac[n] * ifac[r] % P * ifac[n-r] % P)",
"fac[n] * ifac[r] % P * ifac[n-r] % P",
"fac[n] * ifac[r] % P * ifac[n-r]",
"fac[n] * ifac[r] % P",
"fac[n] * ifac[r]",
"fac[n]",
"fac",
"n",
"ifac[r]",
"ifac",
"r",
"P",
"ifac[n-r]",
"ifac",
"n-r",
"n",
"r",
"P",
"n",
"n",
"r",
"r",
"h,w,a,b = map(int,input().split())",
"h",
"map(int,input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"w",
"a",
"b",
"s = 0",
"s",
"0",
"nC = b-1",
"nC",
"b-1",
"b",
"1",
"kC = 0",
"kC",
"0",
"nD = w-b-1+h-1",
"nD",
"w-b-1+h-1",
"w-b-1+h",
"w-b-1",
"w-b",
"w",
"b",
"1",
"h",
"1",
"kD = h-1",
"kD",
"h-1",
"h",
"1",
"for i in range(h-a):\n C = ncr(nC, kC)\n D = ncr(nD, kD)\n s = (s + C * D) % P\n nC += 1\n kC += 1\n kD -= 1\n nD -= 1",
"i",
"range(h-a)",
"range",
"h-a",
"h",
"a",
"C = ncr(nC, kC)",
"C",
"ncr(nC, kC)",
"ncr",
"nC",
"kC",
"D = ncr(nD, kD)",
"D",
"ncr(nD, kD)",
"ncr",
"nD",
"kD",
"s = (s + C * D) % P",
"s",
"(s + C * D) % P",
"s + C * D",
"s",
"C * D",
"C",
"D",
"P",
"nC += 1",
"nC",
"1",
"kC += 1",
"kC",
"1",
"kD -= 1",
"kD",
"1",
"nD -= 1",
"nD",
"1",
"print(s)",
"print",
"s",
"fac = [1]",
"[1]",
"fac",
"w,a,b = map(int,input().split())",
"map(int,input().split())",
"w",
"kC += 1",
"1",
"kC",
"P = 10**9+7",
"10**9+7",
"P",
"nC = b-1",
"b-1",
"nC",
"ff *= i",
"i",
"ff",
"ff = 1",
"1",
"ff",
"ifac = [1]",
"[1]",
"ifac",
"D = ncr(nD, kD)",
"ncr(nD, kD)",
"D",
"s = (s + C * D) % P",
"(s + C * D) % P",
"s",
"kC = 0",
"0",
"kC",
"s = 0",
"0",
"s",
"nC += 1",
"1",
"nC",
"nD = w-b-1+h-1",
"w-b-1+h-1",
"nD",
"kD = h-1",
"h-1",
"kD",
"ff %= P",
"P",
"ff",
"b = map(int,input().split())",
"map(int,input().split())",
"b",
"def ncr(n, r): \n return (fac[n] * ifac[r] % P * ifac[n-r] % P);",
"def ncr(n, r): \n return (fac[n] * ifac[r] % P * ifac[n-r] % P);",
"ncr",
"nD -= 1",
"1",
"nD",
"C = ncr(nC, kC)",
"ncr(nC, kC)",
"C",
"h,w,a,b = map(int,input().split())",
"map(int,input().split())",
"h",
"kD -= 1",
"1",
"kD",
"a,b = map(int,input().split())",
"map(int,input().split())",
"a"
] | P = 10**9+7
fac = [1]
ifac = [1]
ff = 1
for i in range(1,200001):
ff *= i
ff %= P
fac.append(ff)
ifac.append(pow(ff, P-2, P))
def ncr(n, r):
return (fac[n] * ifac[r] % P * ifac[n-r] % P);
h,w,a,b = map(int,input().split())
s = 0
nC = b-1
kC = 0
nD = w-b-1+h-1
kD = h-1
for i in range(h-a):
C = ncr(nC, kC)
D = ncr(nD, kD)
s = (s + C * D) % P
nC += 1
kC += 1
kD -= 1
nD -= 1
print(s)
|
[
7,
15,
13,
15,
13,
15,
13,
15,
13,
15,
13,
15,
15,
15,
15,
15,
15,
4,
18,
13,
13,
17,
12,
13,
29,
4,
13,
4,
13,
12,
13,
29,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
12,
13,
29,
4,
13,
4,
13,
12,
13,
29,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
12,
13,
29,
4,
18,
4,
13,
13,
12,
13,
29,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
12,
13,
4,
13,
31,
13,
0,
13,
18,
13,
13,
23,
12,
13,
15,
13,
12,
13,
0,
13,
4,
18,
13,
13,
0,
13,
4,
13,
31,
13,
32,
13,
0,
13,
4,
18,
13,
13,
4,
13,
2,
13,
13,
17,
29,
13,
23,
16,
29,
13,
23,
13,
6,
13,
12,
13,
0,
13,
39,
17,
17,
0,
13,
39,
17,
17,
0,
13,
39,
17,
17,
28,
13,
4,
13,
17,
2,
13,
17,
4,
18,
13,
13,
2,
2,
18,
13,
17,
13,
13,
4,
18,
13,
13,
2,
2,
40,
18,
13,
2,
13,
13,
2,
13,
13,
13,
4,
18,
13,
13,
2,
2,
18,
13,
17,
18,
13,
17,
13,
0,
18,
13,
13,
13,
0,
18,
13,
13,
13,
0,
18,
13,
13,
13,
0,
18,
13,
13,
13,
0,
18,
13,
13,
13,
23,
13,
23,
13,
23,
13,
12,
13,
14,
2,
2,
13,
17,
2,
13,
13,
29,
17,
0,
13,
4,
13,
13,
2,
13,
13,
29,
2,
2,
2,
18,
18,
13,
13,
13,
18,
18,
13,
13,
13,
18,
18,
13,
13,
2,
13,
13,
18,
13,
13,
23,
13,
23,
13,
23,
13,
12,
13,
0,
13,
2,
2,
17,
17,
17,
0,
13,
4,
13,
2,
13,
13,
13,
0,
13,
17,
28,
13,
4,
13,
2,
13,
13,
0,
13,
4,
13,
2,
13,
2,
13,
17,
13,
0,
13,
4,
13,
2,
2,
2,
13,
13,
17,
2,
2,
13,
13,
17,
2,
2,
13,
13,
17,
0,
13,
2,
13,
13,
0,
13,
13,
29,
2,
13,
13,
23,
13,
23,
13,
23,
13,
23,
13,
0,
13,
13,
13,
12,
13,
0,
13,
4,
13,
13,
13,
13,
4,
13,
4,
13,
13,
13,
13,
13,
14,
2,
13,
17,
4,
13,
10,
12,
13,
10,
12,
13,
10,
12,
13,
10,
6,
13,
10,
12,
13,
10,
12,
13,
10,
12,
13,
10,
12,
13,
10,
12,
13,
10,
12,
13,
10,
12,
13
] | [
[
91,
90
],
[
103,
102
],
[
109,
108
],
[
134,
110
],
[
117,
116
],
[
395,
122
],
[
116,
124
],
[
102,
125
],
[
108,
128
],
[
100,
132
],
[
134,
134
],
[
141,
140
],
[
146,
145
],
[
151,
150
],
[
156,
155
],
[
230,
160
],
[
140,
164
],
[
140,
169
],
[
155,
171
],
[
232,
172
],
[
150,
175
],
[
150,
181
],
[
232,
183
],
[
155,
184
],
[
232,
186
],
[
155,
187
],
[
232,
188
],
[
145,
191
],
[
145,
196
],
[
150,
199
],
[
232,
201
],
[
206,
203
],
[
228,
204
],
[
232,
206
],
[
211,
208
],
[
228,
209
],
[
230,
211
],
[
216,
213
],
[
228,
214
],
[
140,
215
],
[
140,
216
],
[
221,
218
],
[
228,
219
],
[
145,
220
],
[
145,
221
],
[
226,
223
],
[
228,
224
],
[
150,
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] | [
"\n# -*- coding: utf-8 -*-\nimport bisect\nimport heapq\nimport math\nimport random\nimport sys\nfrom pprint import pprint\nfrom collections import Counter, defaultdict, deque\nfrom decimal import ROUND_CEILING, ROUND_HALF_UP, Decimal\nfrom functools import lru_cache, reduce\nfrom itertools import combinations, combinations_with_replacement, product, permutations\nfrom operator import add, mul, sub\n\nsys.setrecursionlimit(10000)\n\n\ndef read_int():\n return int(input())\n\n\ndef read_int_n():\n return list(map(int, input().split()))\n\n\ndef read_float():\n return float(input())\n\n\ndef read_float_n():\n return list(map(float, input().split()))\n\n\ndef read_str():\n return input().strip()\n\n\ndef read_str_n():\n return list(map(str, input().split()))\n\n\ndef error_print(*args):\n print(*args, file=sys.stderr)\n\n\ndef mt(f):\n import time\n\n def wrap(*args, **kwargs):\n s = time.time()\n ret = f(*args, **kwargs)\n e = time.time()\n\n error_print(e - s, 'sec')\n return ret\n\n return wrap\n\n\nclass Combination:\n def __init__(self, n, mod):\n\n g1 = [1, 1]\n g2 = [1, 1]\n inverse = [0, 1]\n for i in range(2, n + 1):\n g1.append((g1[-1] * i) % mod)\n inverse.append((-inverse[mod % i] * (mod//i)) % mod)\n g2.append((g2[-1] * inverse[-1]) % mod)\n self.MOD = mod\n self.N = n\n self.g1 = g1\n self.g2 = g2\n self.inverse = inverse\n\n def __call__(self, n, r):\n if (r < 0 or r > n):\n return 0\n r = min(r, n-r)\n return self.g1[n] * self.g2[r] * self.g2[n-r] % self.MOD\n\n\n@mt\ndef slv(H, W, A, B):\n MOD = 10**9+7\n cmb = Combination(H+W, MOD)\n ans = 0\n for i in range(W-B):\n w1 = cmb(i+(A-1), i)\n w2 = cmb((W-i-1)+(H-A-1), (H-A-1))\n ans += w1*w2\n ans %= MOD\n\n return ans % MOD\n\n\ndef main():\n H, W, A, B = read_int_n()\n\n print(slv(H, W, A, B))\n\n\nif __name__ == '__main__':\n main()",
"import bisect",
"bisect",
"import heapq",
"heapq",
"import math",
"math",
"import random",
"random",
"import sys",
"sys",
"from pprint import pprint",
"from collections import Counter, defaultdict, deque",
"from decimal import ROUND_CEILING, ROUND_HALF_UP, Decimal",
"from functools import lru_cache, reduce",
"from itertools import combinations, combinations_with_replacement, product, permutations",
"from operator import add, mul, sub",
"sys.setrecursionlimit(10000)",
"sys.setrecursionlimit",
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"file=sys.stderr",
"file",
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"mt",
"import time",
"time",
"def wrap(*args, **kwargs):\n s = time.time()\n ret = f(*args, **kwargs)\n e = time.time()\n\n error_print(e - s, 'sec')\n return ret\n\n ",
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"class Combination:\n def __init__(self, n, mod):\n\n g1 = [1, 1]\n g2 = [1, 1]\n inverse = [0, 1]\n for i in range(2, n + 1):\n g1.append((g1[-1] * i) % mod)\n inverse.append((-inverse[mod % i] * (mod//i)) % mod)\n g2.append((g2[-1] * inverse[-1]) % mod)\n self.MOD = mod\n self.N = n\n self.g1 = g1\n self.g2 = g2\n self.inverse = inverse\n\n def __call__(self, n, r):\n if (r < 0 or r > n):\n return 0\n r = min(r, n-r)\n return self.g1[n] * self.g2[r] * self.g2[n-r] % self.MOD",
"Combination",
"def __init__(self, n, mod):\n\n g1 = [1, 1]\n g2 = [1, 1]\n inverse = [0, 1]\n for i in range(2, n + 1):\n g1.append((g1[-1] * i) % mod)\n inverse.append((-inverse[mod % i] * (mod//i)) % mod)\n g2.append((g2[-1] * inverse[-1]) % mod)\n self.MOD = mod\n self.N = n\n self.g1 = g1\n self.g2 = g2\n self.inverse = inverse\n\n ",
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"def slv(H, W, A, B):\n MOD = 10**9+7\n cmb = Combination(H+W, MOD)\n ans = 0\n for i in range(W-B):\n w1 = cmb(i+(A-1), i)\n w2 = cmb((W-i-1)+(H-A-1), (H-A-1))\n ans += w1*w2\n ans %= MOD\n\n return ans % MOD",
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"def main():\n H, W, A, B = read_int_n()\n\n print(slv(H, W, A, B))",
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"main()",
"main",
"def read_str_n():\n return list(map(str, input().split()))",
"def read_str_n():\n return list(map(str, input().split()))",
"read_str_n",
"def main():\n H, W, A, B = read_int_n()\n\n print(slv(H, W, A, B))",
"def main():\n H, W, A, B = read_int_n()\n\n print(slv(H, W, A, B))",
"main",
"def error_print(*args):\n print(*args, file=sys.stderr)",
"def error_print(*args):\n print(*args, file=sys.stderr)",
"error_print",
"class Combination:\n def __init__(self, n, mod):\n\n g1 = [1, 1]\n g2 = [1, 1]\n inverse = [0, 1]\n for i in range(2, n + 1):\n g1.append((g1[-1] * i) % mod)\n inverse.append((-inverse[mod % i] * (mod//i)) % mod)\n g2.append((g2[-1] * inverse[-1]) % mod)\n self.MOD = mod\n self.N = n\n self.g1 = g1\n self.g2 = g2\n self.inverse = inverse\n\n def __call__(self, n, r):\n if (r < 0 or r > n):\n return 0\n r = min(r, n-r)\n return self.g1[n] * self.g2[r] * self.g2[n-r] % self.MOD",
"class Combination:\n def __init__(self, n, mod):\n\n g1 = [1, 1]\n g2 = [1, 1]\n inverse = [0, 1]\n for i in range(2, n + 1):\n g1.append((g1[-1] * i) % mod)\n inverse.append((-inverse[mod % i] * (mod//i)) % mod)\n g2.append((g2[-1] * inverse[-1]) % mod)\n self.MOD = mod\n self.N = n\n self.g1 = g1\n self.g2 = g2\n self.inverse = inverse\n\n def __call__(self, n, r):\n if (r < 0 or r > n):\n return 0\n r = min(r, n-r)\n return self.g1[n] * self.g2[r] * self.g2[n-r] % self.MOD",
"Combination",
"def read_int_n():\n return list(map(int, input().split()))",
"def read_int_n():\n return list(map(int, input().split()))",
"read_int_n",
"def mt(f):\n import time\n\n def wrap(*args, **kwargs):\n s = time.time()\n ret = f(*args, **kwargs)\n e = time.time()\n\n error_print(e - s, 'sec')\n return ret\n\n return wrap",
"def mt(f):\n import time\n\n def wrap(*args, **kwargs):\n s = time.time()\n ret = f(*args, **kwargs)\n e = time.time()\n\n error_print(e - s, 'sec')\n return ret\n\n return wrap",
"mt",
"def read_int():\n return int(input())",
"def read_int():\n return int(input())",
"read_int",
"def read_float():\n return float(input())",
"def read_float():\n return float(input())",
"read_float",
"def read_str():\n return input().strip()",
"def read_str():\n return input().strip()",
"read_str",
"def slv(H, W, A, B):\n MOD = 10**9+7\n cmb = Combination(H+W, MOD)\n ans = 0\n for i in range(W-B):\n w1 = cmb(i+(A-1), i)\n w2 = cmb((W-i-1)+(H-A-1), (H-A-1))\n ans += w1*w2\n ans %= MOD\n\n return ans % MOD",
"def slv(H, W, A, B):\n MOD = 10**9+7\n cmb = Combination(H+W, MOD)\n ans = 0\n for i in range(W-B):\n w1 = cmb(i+(A-1), i)\n w2 = cmb((W-i-1)+(H-A-1), (H-A-1))\n ans += w1*w2\n ans %= MOD\n\n return ans % MOD",
"slv",
"def read_float_n():\n return list(map(float, input().split()))",
"def read_float_n():\n return list(map(float, input().split()))",
"read_float_n"
] |
# -*- coding: utf-8 -*-
import bisect
import heapq
import math
import random
import sys
from pprint import pprint
from collections import Counter, defaultdict, deque
from decimal import ROUND_CEILING, ROUND_HALF_UP, Decimal
from functools import lru_cache, reduce
from itertools import combinations, combinations_with_replacement, product, permutations
from operator import add, mul, sub
sys.setrecursionlimit(10000)
def read_int():
return int(input())
def read_int_n():
return list(map(int, input().split()))
def read_float():
return float(input())
def read_float_n():
return list(map(float, input().split()))
def read_str():
return input().strip()
def read_str_n():
return list(map(str, input().split()))
def error_print(*args):
print(*args, file=sys.stderr)
def mt(f):
import time
def wrap(*args, **kwargs):
s = time.time()
ret = f(*args, **kwargs)
e = time.time()
error_print(e - s, 'sec')
return ret
return wrap
class Combination:
def __init__(self, n, mod):
g1 = [1, 1]
g2 = [1, 1]
inverse = [0, 1]
for i in range(2, n + 1):
g1.append((g1[-1] * i) % mod)
inverse.append((-inverse[mod % i] * (mod//i)) % mod)
g2.append((g2[-1] * inverse[-1]) % mod)
self.MOD = mod
self.N = n
self.g1 = g1
self.g2 = g2
self.inverse = inverse
def __call__(self, n, r):
if (r < 0 or r > n):
return 0
r = min(r, n-r)
return self.g1[n] * self.g2[r] * self.g2[n-r] % self.MOD
@mt
def slv(H, W, A, B):
MOD = 10**9+7
cmb = Combination(H+W, MOD)
ans = 0
for i in range(W-B):
w1 = cmb(i+(A-1), i)
w2 = cmb((W-i-1)+(H-A-1), (H-A-1))
ans += w1*w2
ans %= MOD
return ans % MOD
def main():
H, W, A, B = read_int_n()
print(slv(H, W, A, B))
if __name__ == '__main__':
main()
|
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] | [
"H, W, A, B = map(int, input().split())\nC = H - A\nD = W - B\np = 1000000007\n\ndef power(a, b): #a^b (mod p)を求める #二分累乗法を使う\n if b == 0:\n return 1\n elif b % 2 == 0:\n return power(a, b//2) ** 2 % p\n else:\n return power(a, b//2) ** 2 * a % p\n\nf = [1] #f[i] = i! % p\nfor i in range(H+W):\n f.append(f[i] * (i+1) % p)\n\nI_f = [0] * (H+W+1) #I_f[i] = (i!)^(-1) % p\nI_f[H+W] = power(f[H+W], p-2)\nfor i in reversed(range(H+W)):\n I_f[i] = I_f[i+1] * (i+1) % p\n\ndef combi(a, b): #(a+b)!/a!b! (mod p)を求める\n return f[a+b] * I_f[a] * I_f[b] % p\n\nx = 0\nfor i in range(C):\n x = (x + combi(i, B-1) * combi(D-1, H-i-1)) % p\nprint(x)",
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"def power(a, b): #a^b (mod p)を求める #二分累乗法を使う\n if b == 0:\n return 1\n elif b % 2 == 0:\n return power(a, b//2) ** 2 % p\n else:\n return power(a, b//2) ** 2 * a % p",
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"H - A",
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"def combi(a, b): #(a+b)!/a!b! (mod p)を求める\n return f[a+b] * I_f[a] * I_f[b] % p",
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] | H, W, A, B = map(int, input().split())
C = H - A
D = W - B
p = 1000000007
def power(a, b): #a^b (mod p)を求める #二分累乗法を使う
if b == 0:
return 1
elif b % 2 == 0:
return power(a, b//2) ** 2 % p
else:
return power(a, b//2) ** 2 * a % p
f = [1] #f[i] = i! % p
for i in range(H+W):
f.append(f[i] * (i+1) % p)
I_f = [0] * (H+W+1) #I_f[i] = (i!)^(-1) % p
I_f[H+W] = power(f[H+W], p-2)
for i in reversed(range(H+W)):
I_f[i] = I_f[i+1] * (i+1) % p
def combi(a, b): #(a+b)!/a!b! (mod p)を求める
return f[a+b] * I_f[a] * I_f[b] % p
x = 0
for i in range(C):
x = (x + combi(i, B-1) * combi(D-1, H-i-1)) % p
print(x)
|
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167,
274
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[
278,
277
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261,
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165,
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283,
282
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191,
286
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116,
286
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282,
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268,
289
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227,
289
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277,
291
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238,
291
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172,
291
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[
128,
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[
360,
293
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268,
295
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[
227,
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[
107,
297
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107,
298
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[
301,
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209,
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300,
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243,
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147,
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114,
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282,
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191,
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116,
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107,
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300,
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209,
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311,
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313,
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315,
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317,
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368,
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368,
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368,
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368,
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350,
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348,
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369,
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354,
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366,
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357,
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351,
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350,
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368,
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368,
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368,
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] | [
"def mod_inv(n: int, mod: int)->int:\n b, u, v = mod, 1, 0\n while b > 0:\n t = n // b\n\n n -= t * b\n u -= t * v\n\n n, b = b, n\n u, v = v, u\n\n return (u+mod) % mod\n\n\ndef comb(r: int, c: int, mod: int) -> int:\n if c < 0 or r < c:\n raise Exception('invalid r={}, c={}'.format(r, c))\n if c == 0 or c == r:\n return 1\n return (comb(r-1, c-1, mod) + comb(r-1, c, mod)) % mod\n\n\n# n+1Cr = (n+1)*n!/((n+1-r)!r!) = ((n+1)/(n+1-r)) * (n!/((n-r)!r!))\ndef iroha_and_grid(H: int, W: int, A: int, B: int) -> int:\n MOD = 10 ** 9 + 7\n\n c1, c2 = 1, 1\n\n uH, uW = H - A, B - 1\n r = uH - 1\n for n in range(r, (uH - 1) + (uW - 1) + 1):\n c1 = (c1 * (n + 1) * mod_inv(n + 1 - r, MOD)) % MOD\n\n lH, lW = A, W - B\n r = lH - 1\n for n in range(r, (lH - 1) + (lW - 1) + 1):\n c2 = (c2 * (n + 1) * mod_inv(n + 1 - r, MOD)) % MOD\n\n ret = 0\n for w in range(B, W):\n # 上の領域の高さと幅\n uH, uW = H - A, w - 1\n n = (uH - 1) + (uW - 1) + 1\n r = uH - 1\n c1 = (c1 * (n + 1) * mod_inv(n + 1 - r, MOD)) % MOD\n\n # 下の領域の高さと幅\n lH, lW = A, W - w\n n = (lH - 1) + (lW - 1)\n r = lH - 1\n c2 = (c2 * (n + 1 - r) * mod_inv(n + 1, MOD)) % MOD\n\n ret = (ret + c1 * c2) % MOD\n\n return ret\n\n\nif __name__ == \"__main__\":\n H, W, A, B = map(int, input().split())\n ans = iroha_and_grid(H, W, A, B)\n print(ans)",
"def mod_inv(n: int, mod: int)->int:\n b, u, v = mod, 1, 0\n while b > 0:\n t = n // b\n\n n -= t * b\n u -= t * v\n\n n, b = b, n\n u, v = v, u\n\n return (u+mod) % mod",
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"def iroha_and_grid(H: int, W: int, A: int, B: int) -> int:\n MOD = 10 ** 9 + 7\n\n c1, c2 = 1, 1\n\n uH, uW = H - A, B - 1\n r = uH - 1\n for n in range(r, (uH - 1) + (uW - 1) + 1):\n c1 = (c1 * (n + 1) * mod_inv(n + 1 - r, MOD)) % MOD\n\n lH, lW = A, W - B\n r = lH - 1\n for n in range(r, (lH - 1) + (lW - 1) + 1):\n c2 = (c2 * (n + 1) * mod_inv(n + 1 - r, MOD)) % MOD\n\n ret = 0\n for w in range(B, W):\n # 上の領域の高さと幅\n uH, uW = H - A, w - 1\n n = (uH - 1) + (uW - 1) + 1\n r = uH - 1\n c1 = (c1 * (n + 1) * mod_inv(n + 1 - r, MOD)) % MOD\n\n # 下の領域の高さと幅\n lH, lW = A, W - w\n n = (lH - 1) + (lW - 1)\n r = lH - 1\n c2 = (c2 * (n + 1 - r) * mod_inv(n + 1, MOD)) % MOD\n\n ret = (ret + c1 * c2) % MOD\n\n return ret",
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"def iroha_and_grid(H: int, W: int, A: int, B: int) -> int:\n MOD = 10 ** 9 + 7\n\n c1, c2 = 1, 1\n\n uH, uW = H - A, B - 1\n r = uH - 1\n for n in range(r, (uH - 1) + (uW - 1) + 1):\n c1 = (c1 * (n + 1) * mod_inv(n + 1 - r, MOD)) % MOD\n\n lH, lW = A, W - B\n r = lH - 1\n for n in range(r, (lH - 1) + (lW - 1) + 1):\n c2 = (c2 * (n + 1) * mod_inv(n + 1 - r, MOD)) % MOD\n\n ret = 0\n for w in range(B, W):\n # 上の領域の高さと幅\n uH, uW = H - A, w - 1\n n = (uH - 1) + (uW - 1) + 1\n r = uH - 1\n c1 = (c1 * (n + 1) * mod_inv(n + 1 - r, MOD)) % MOD\n\n # 下の領域の高さと幅\n lH, lW = A, W - w\n n = (lH - 1) + (lW - 1)\n r = lH - 1\n c2 = (c2 * (n + 1 - r) * mod_inv(n + 1, MOD)) % MOD\n\n ret = (ret + c1 * c2) % MOD\n\n return ret",
"def iroha_and_grid(H: int, W: int, A: int, B: int) -> int:\n MOD = 10 ** 9 + 7\n\n c1, c2 = 1, 1\n\n uH, uW = H - A, B - 1\n r = uH - 1\n for n in range(r, (uH - 1) + (uW - 1) + 1):\n c1 = (c1 * (n + 1) * mod_inv(n + 1 - r, MOD)) % MOD\n\n lH, lW = A, W - B\n r = lH - 1\n for n in range(r, (lH - 1) + (lW - 1) + 1):\n c2 = (c2 * (n + 1) * mod_inv(n + 1 - r, MOD)) % MOD\n\n ret = 0\n for w in range(B, W):\n # 上の領域の高さと幅\n uH, uW = H - A, w - 1\n n = (uH - 1) + (uW - 1) + 1\n r = uH - 1\n c1 = (c1 * (n + 1) * mod_inv(n + 1 - r, MOD)) % MOD\n\n # 下の領域の高さと幅\n lH, lW = A, W - w\n n = (lH - 1) + (lW - 1)\n r = lH - 1\n c2 = (c2 * (n + 1 - r) * mod_inv(n + 1, MOD)) % MOD\n\n ret = (ret + c1 * c2) % MOD\n\n return ret",
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"def mod_inv(n: int, mod: int)->int:\n b, u, v = mod, 1, 0\n while b > 0:\n t = n // b\n\n n -= t * b\n u -= t * v\n\n n, b = b, n\n u, v = v, u\n\n return (u+mod) % mod",
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"def comb(r: int, c: int, mod: int) -> int:\n if c < 0 or r < c:\n raise Exception('invalid r={}, c={}'.format(r, c))\n if c == 0 or c == r:\n return 1\n return (comb(r-1, c-1, mod) + comb(r-1, c, mod)) % mod\n\n\n# n+1Cr = (n+1)*n!/((n+1-r)!r!) = ((n+1)/(n+1-r)) * (n!/((n-r)!r!))",
"def comb(r: int, c: int, mod: int) -> int:\n if c < 0 or r < c:\n raise Exception('invalid r={}, c={}'.format(r, c))\n if c == 0 or c == r:\n return 1\n return (comb(r-1, c-1, mod) + comb(r-1, c, mod)) % mod\n\n\n# n+1Cr = (n+1)*n!/((n+1-r)!r!) = ((n+1)/(n+1-r)) * (n!/((n-r)!r!))",
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] | def mod_inv(n: int, mod: int)->int:
b, u, v = mod, 1, 0
while b > 0:
t = n // b
n -= t * b
u -= t * v
n, b = b, n
u, v = v, u
return (u+mod) % mod
def comb(r: int, c: int, mod: int) -> int:
if c < 0 or r < c:
raise Exception('invalid r={}, c={}'.format(r, c))
if c == 0 or c == r:
return 1
return (comb(r-1, c-1, mod) + comb(r-1, c, mod)) % mod
# n+1Cr = (n+1)*n!/((n+1-r)!r!) = ((n+1)/(n+1-r)) * (n!/((n-r)!r!))
def iroha_and_grid(H: int, W: int, A: int, B: int) -> int:
MOD = 10 ** 9 + 7
c1, c2 = 1, 1
uH, uW = H - A, B - 1
r = uH - 1
for n in range(r, (uH - 1) + (uW - 1) + 1):
c1 = (c1 * (n + 1) * mod_inv(n + 1 - r, MOD)) % MOD
lH, lW = A, W - B
r = lH - 1
for n in range(r, (lH - 1) + (lW - 1) + 1):
c2 = (c2 * (n + 1) * mod_inv(n + 1 - r, MOD)) % MOD
ret = 0
for w in range(B, W):
# 上の領域の高さと幅
uH, uW = H - A, w - 1
n = (uH - 1) + (uW - 1) + 1
r = uH - 1
c1 = (c1 * (n + 1) * mod_inv(n + 1 - r, MOD)) % MOD
# 下の領域の高さと幅
lH, lW = A, W - w
n = (lH - 1) + (lW - 1)
r = lH - 1
c2 = (c2 * (n + 1 - r) * mod_inv(n + 1, MOD)) % MOD
ret = (ret + c1 * c2) % MOD
return ret
if __name__ == "__main__":
H, W, A, B = map(int, input().split())
ans = iroha_and_grid(H, W, A, B)
print(ans)
|
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13,
10,
12,
13,
10,
2,
13,
10,
2,
13
] | [
[
164,
2
],
[
164,
11
],
[
164,
12
],
[
164,
13
],
[
170,
15
],
[
188,
18
],
[
173,
25
],
[
189,
27
],
[
31,
30
],
[
150,
35
],
[
165,
36
],
[
171,
41
],
[
30,
44
],
[
185,
47
],
[
30,
50
],
[
171,
53
],
[
30,
55
],
[
189,
58
],
[
155,
60
],
[
179,
63
],
[
156,
66
],
[
186,
66
],
[
174,
67
],
[
189,
68
],
[
73,
70
],
[
171,
71
],
[
30,
72
],
[
171,
83
],
[
99,
84
],
[
171,
88
],
[
101,
89
],
[
171,
93
],
[
99,
95
],
[
101,
96
],
[
99,
99
],
[
101,
101
],
[
167,
103
],
[
107,
106
],
[
162,
109
],
[
165,
110
],
[
176,
112
],
[
183,
115
],
[
106,
119
],
[
150,
120
],
[
159,
121
],
[
106,
123
],
[
183,
125
],
[
165,
130
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[
106,
132
],
[
159,
133
],
[
165,
137
],
[
106,
139
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[
152,
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[
189,
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[
153,
146
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[
177,
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],
[
168,
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189,
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[
164,
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],
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189,
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[
152,
153
],
[
155,
156
],
[
164,
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],
[
164,
162
],
[
164,
165
],
[
167,
168
],
[
170,
171
],
[
173,
174
],
[
176,
177
],
[
179,
180
],
[
185,
186
],
[
188,
189
]
] | [
"H, W, A, B = map(int, input().split())\nh = {}\np = 10**9+7\nq = p - 2\nfor x in range(H+W-1):\n if h.get(x-1):\n a = (x * h[x-1][0]) % p\n else:\n a = 1\n b = pow(a,q,p)\n h[x] = (a,b)\n\ndef C(n, r):\n return h[n][0] * h[r][1] * h[n-r][1]\n\nans = 0\nfor i in range(B, W):\n ans += C(i+H - A - 1, i) * C(W - 1 - i + A - 1, W - 1 - i)\n ans %= p\nprint(ans % p)",
"H, W, A, B = map(int, input().split())",
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"x",
"range(H+W-1)",
"range",
"H+W-1",
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"def C(n, r):\n return h[n][0] * h[r][1] * h[n-r][1]",
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"for i in range(B, W):\n ans += C(i+H - A - 1, i) * C(W - 1 - i + A - 1, W - 1 - i)\n ans %= p",
"i",
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"ans = 0",
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"h = {}",
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"h",
"q = p - 2",
"p - 2",
"q",
"ans += C(i+H - A - 1, i) * C(W - 1 - i + A - 1, W - 1 - i)",
"C(i+H - A - 1, i) * C(W - 1 - i + A - 1, W - 1 - i)",
"ans",
"b = pow(a,q,p)",
"pow(a,q,p)",
"b",
"def C(n, r):\n return h[n][0] * h[r][1] * h[n-r][1]",
"def C(n, r):\n return h[n][0] * h[r][1] * h[n-r][1]",
"C",
"a = (x * h[x-1][0]) % p",
"(x * h[x-1][0]) % p",
"a",
"p = 10**9+7",
"10**9+7",
"p"
] | H, W, A, B = map(int, input().split())
h = {}
p = 10**9+7
q = p - 2
for x in range(H+W-1):
if h.get(x-1):
a = (x * h[x-1][0]) % p
else:
a = 1
b = pow(a,q,p)
h[x] = (a,b)
def C(n, r):
return h[n][0] * h[r][1] * h[n-r][1]
ans = 0
for i in range(B, W):
ans += C(i+H - A - 1, i) * C(W - 1 - i + A - 1, W - 1 - i)
ans %= p
print(ans % p) |
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] | [
[
249,
2
],
[
249,
11
],
[
249,
12
],
[
249,
13
],
[
237,
15
],
[
216,
22
],
[
250,
27
],
[
220,
28
],
[
33,
30
],
[
217,
31
],
[
38,
35
],
[
217,
36
],
[
41,
40
],
[
250,
45
],
[
220,
46
],
[
51,
48
],
[
217,
49
],
[
40,
50
],
[
217,
54
],
[
40,
56
],
[
40,
58
],
[
238,
59
],
[
231,
61
],
[
250,
66
],
[
220,
67
],
[
76,
69
],
[
232,
70
],
[
250,
73
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[
220,
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],
[
217,
79
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[
250,
82
],
[
220,
83
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238,
86
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[
238,
88
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91,
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[
250,
95
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220,
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104,
101
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[
232,
102
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[
90,
103
],
[
232,
107
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[
90,
109
],
[
90,
112
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[
238,
114
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[
119,
118
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[
152,
121
],
[
150,
123
],
[
152,
124
],
[
127,
126
],
[
217,
128
],
[
150,
129
],
[
132,
131
],
[
232,
135
],
[
118,
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[
152,
136
],
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232,
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150,
140
],
[
118,
141
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152,
141
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[
238,
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126,
146
],
[
131,
147
],
[
238,
148
],
[
150,
150
],
[
152,
152
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[
246,
154
],
[
250,
156
],
[
214,
157
],
[
252,
159
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[
235,
161
],
[
240,
164
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[
247,
169
],
[
229,
169
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[
253,
172
],
[
223,
172
],
[
220,
173
],
[
225,
175
],
[
241,
178
],
[
226,
178
],
[
244,
181
],
[
247,
184
],
[
229,
184
],
[
253,
185
],
[
223,
185
],
[
247,
188
],
[
229,
188
],
[
244,
191
],
[
250,
195
],
[
247,
196
],
[
229,
196
],
[
220,
197
],
[
253,
198
],
[
223,
198
],
[
250,
200
],
[
247,
201
],
[
229,
201
],
[
238,
202
],
[
228,
204
],
[
222,
207
],
[
226,
211
],
[
241,
211
],
[
249,
214
],
[
216,
217
],
[
249,
220
],
[
222,
223
],
[
225,
226
],
[
228,
229
],
[
231,
232
],
[
249,
235
],
[
237,
238
],
[
240,
241
],
[
246,
247
],
[
249,
250
],
[
252,
253
]
] | [
"# -*- coding: utf-8 -*-\n\nH,W,A,B = map(int, input().split())\nmod = (10 ** 9 + 7)\n\n# 予め組み合わせ計算に必要な階乗と逆元のテーブルを作っておく\nfactorial = [1] * (H+W)\nfactorial[0] = 1\nfactorial[1] = 1\nfor i in range(2,H+W):\n factorial[i] = factorial[i-1] * i % mod\n\ninverse = [1] * (H+W)\n# フェルマーの小定理から(x! ** mod-2 % mod == x! ** -1 % mod)\n# powに第三引数入れると冪乗のmod付計算を高速にやってくれる\ninverse[H+W-1] = pow(factorial[H+W-1], mod-2, mod)\nfor i in range(H+W-2, 0, -1):\n # 最後から戻っていくこのループならH+W回powするより処理が速い\n inverse[i] = inverse[i+1] * (i+1) % mod\n\n# 組み合わせの数だけ返してくれる関数(自作)\ndef nCr(n, r):\n # 10C7 = 10C3\n r = min(r, n-r)\n # 分子の計算\n numerator = factorial[n]\n # 分母の計算\n denominator = inverse[r] * inverse[n-r] % mod\n return numerator * denominator % mod\n\nh = H - A\nw = B + 1\nans = 0\n# マスを右上に1つずつずらして、必ず通る場所でパターンを足し合わせていく\nwhile h > 0 and w <= W:\n ans = (ans + nCr(h+w-2, h-1) * nCr(H-h+W-w, H-h)) % mod\n h -= 1\n w += 1\n\nprint(ans)",
"H,W,A,B = map(int, input().split())",
"H",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
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"input",
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"W",
"A",
"B",
"mod = (10 ** 9 + 7)",
"mod",
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"10 ** 9",
"10",
"9",
"7",
"factorial = [1] * (H+W)",
"factorial",
"[1] * (H+W)",
"[1]",
"1",
"H+W",
"H",
"W",
"factorial[0] = 1",
"factorial[0]",
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"1",
"factorial[1] = 1",
"factorial[1]",
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"1",
"1",
"for i in range(2,H+W):\n factorial[i] = factorial[i-1] * i % mod",
"i",
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"2",
"H+W",
"H",
"W",
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"mod",
"inverse = [1] * (H+W)",
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"[1]",
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"H+W",
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"inverse[H+W-1] = pow(factorial[H+W-1], mod-2, mod)",
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"W",
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"for i in range(H+W-2, 0, -1):\n # 最後から戻っていくこのループならH+W回powするより処理が速い\n inverse[i] = inverse[i+1] * (i+1) % mod\n\n# 組み合わせの数だけ返してくれる関数(自作)",
"i",
"range(H+W-2, 0, -1)",
"range",
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"H+W",
"H",
"W",
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"0",
"-1",
"inverse[i] = inverse[i+1] * (i+1) % mod",
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"def nCr(n, r):\n # 10C7 = 10C3\n r = min(r, n-r)\n # 分子の計算\n numerator = factorial[n]\n # 分母の計算\n denominator = inverse[r] * inverse[n-r] % mod\n return numerator * denominator % mod",
"nCr",
"r = min(r, n-r)",
"r",
"min(r, n-r)",
"min",
"r",
"n-r",
"n",
"r",
"numerator = factorial[n]",
"numerator",
"factorial[n]",
"factorial",
"n",
"denominator = inverse[r] * inverse[n-r] % mod",
"denominator",
"inverse[r] * inverse[n-r] % mod",
"inverse[r] * inverse[n-r]",
"inverse[r]",
"inverse",
"r",
"inverse[n-r]",
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"r",
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"return numerator * denominator % mod",
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"n",
"r",
"r",
"h = H - A",
"h",
"H - A",
"H",
"A",
"w = B + 1",
"w",
"B + 1",
"B",
"1",
"ans = 0",
"ans",
"0",
"while h > 0 and w <= W:\n ans = (ans + nCr(h+w-2, h-1) * nCr(H-h+W-w, H-h)) % mod\n h -= 1\n w += 1",
"h > 0 and w <= W",
"h > 0",
"h",
"0",
"w <= W",
"w",
"W",
"ans = (ans + nCr(h+w-2, h-1) * nCr(H-h+W-w, H-h)) % mod",
"ans",
"(ans + nCr(h+w-2, h-1) * nCr(H-h+W-w, H-h)) % mod",
"ans + nCr(h+w-2, h-1) * nCr(H-h+W-w, H-h)",
"ans",
"nCr(h+w-2, h-1) * nCr(H-h+W-w, H-h)",
"nCr(h+w-2, h-1)",
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"h -= 1",
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"w += 1",
"w",
"1",
"print(ans)",
"print",
"ans",
"A,B = map(int, input().split())",
"map(int, input().split())",
"A",
"factorial = [1] * (H+W)",
"[1] * (H+W)",
"factorial",
"W,A,B = map(int, input().split())",
"map(int, input().split())",
"W",
"w += 1",
"1",
"w",
"ans = (ans + nCr(h+w-2, h-1) * nCr(H-h+W-w, H-h)) % mod",
"(ans + nCr(h+w-2, h-1) * nCr(H-h+W-w, H-h)) % mod",
"ans",
"h -= 1",
"1",
"h",
"inverse = [1] * (H+W)",
"[1] * (H+W)",
"inverse",
"B = map(int, input().split())",
"map(int, input().split())",
"B",
"mod = (10 ** 9 + 7)",
"10 ** 9 + 7",
"mod",
"ans = 0",
"0",
"ans",
"def nCr(n, r):\n # 10C7 = 10C3\n r = min(r, n-r)\n # 分子の計算\n numerator = factorial[n]\n # 分母の計算\n denominator = inverse[r] * inverse[n-r] % mod\n return numerator * denominator % mod",
"def nCr(n, r):\n # 10C7 = 10C3\n r = min(r, n-r)\n # 分子の計算\n numerator = factorial[n]\n # 分母の計算\n denominator = inverse[r] * inverse[n-r] % mod\n return numerator * denominator % mod",
"nCr",
"h = H - A",
"H - A",
"h",
"H,W,A,B = map(int, input().split())",
"map(int, input().split())",
"H",
"w = B + 1",
"B + 1",
"w"
] | # -*- coding: utf-8 -*-
H,W,A,B = map(int, input().split())
mod = (10 ** 9 + 7)
# 予め組み合わせ計算に必要な階乗と逆元のテーブルを作っておく
factorial = [1] * (H+W)
factorial[0] = 1
factorial[1] = 1
for i in range(2,H+W):
factorial[i] = factorial[i-1] * i % mod
inverse = [1] * (H+W)
# フェルマーの小定理から(x! ** mod-2 % mod == x! ** -1 % mod)
# powに第三引数入れると冪乗のmod付計算を高速にやってくれる
inverse[H+W-1] = pow(factorial[H+W-1], mod-2, mod)
for i in range(H+W-2, 0, -1):
# 最後から戻っていくこのループならH+W回powするより処理が速い
inverse[i] = inverse[i+1] * (i+1) % mod
# 組み合わせの数だけ返してくれる関数(自作)
def nCr(n, r):
# 10C7 = 10C3
r = min(r, n-r)
# 分子の計算
numerator = factorial[n]
# 分母の計算
denominator = inverse[r] * inverse[n-r] % mod
return numerator * denominator % mod
h = H - A
w = B + 1
ans = 0
# マスを右上に1つずつずらして、必ず通る場所でパターンを足し合わせていく
while h > 0 and w <= W:
ans = (ans + nCr(h+w-2, h-1) * nCr(H-h+W-w, H-h)) % mod
h -= 1
w += 1
print(ans) |
[
7,
15,
13,
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] | [
[
235,
4
],
[
14,
13
],
[
236,
20
],
[
14,
22
],
[
14,
23
],
[
14,
24
],
[
27,
26
],
[
34,
33
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[
13,
42
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[
23,
43
],
[
22,
44
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[
23,
47
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[
22,
48
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[
24,
49
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[
53,
52
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33,
58
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63,
60
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33,
61
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52,
62
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33,
65
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52,
67
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[
52,
69
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74,
71
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[
33,
72
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[
52,
73
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[
26,
74
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[
77,
76
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22,
81
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24,
82
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85,
84
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22,
89
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24,
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[
93,
92
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13,
95
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23,
96
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[
100,
99
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22,
103
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24,
104
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[
107,
106
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[
24,
110
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99,
112
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118,
115
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76,
116
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99,
117
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33,
121
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92,
123
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106,
124
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33,
128
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92,
129
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26,
131
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26,
133
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[
33,
137
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[
106,
138
],
[
26,
140
],
[
26,
142
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[
147,
144
],
[
76,
145
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[
99,
146
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[
26,
147
],
[
150,
149
],
[
23,
151
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[
155,
154
],
[
22,
158
],
[
24,
159
],
[
162,
161
],
[
22,
165
],
[
24,
166
],
[
154,
167
],
[
173,
170
],
[
84,
171
],
[
154,
172
],
[
33,
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],
[
149,
178
],
[
92,
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161,
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106,
179
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33,
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149,
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92,
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[
26,
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[
26,
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[
33,
192
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[
161,
193
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[
106,
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[
26,
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[
202,
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84,
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[
154,
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[
26,
202
],
[
205,
204
],
[
208,
207
],
[
22,
211
],
[
24,
212
],
[
215,
214
],
[
144,
216
],
[
115,
216
],
[
76,
217
],
[
207,
218
],
[
199,
219
],
[
170,
219
],
[
84,
220
],
[
207,
221
],
[
224,
223
],
[
26,
224
],
[
223,
227
],
[
214,
227
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[
204,
227
],
[
239,
233
],
[
235,
236
]
] | [
"import sys\ninput = sys.stdin.readline\n\ndef main():\n H, W, A, B = map(int, input().split())\n\n MOD = int(1e9) + 7\n\n kai = [1] * (max(H-A+W, A+W-B) + 1)\n for i in range(1, len(kai)):\n kai[i] = kai[i-1] * i\n kai[i] %= MOD\n \n up = [0] * (W-B)\n down = [0] * (W-B)\n\n t1 = H-A-1\n for i in range(W-B):\n t2 = B + 1 + i-1\n # print(t1, t2)\n up[i] = kai[t1 + t2] * pow(kai[t1], MOD-2, MOD) * pow(kai[t2], MOD-2, MOD)\n up[i] %= MOD\n t1 = A-1\n for i in range(W-B):\n t2 = W-B-i-1\n # print(t1, t2)\n down[i] = kai[t1 + t2] * pow(kai[t1], MOD-2, MOD) * pow(kai[t2], MOD-2, MOD)\n down[i] %= MOD\n \n ans = 0\n for i in range(W-B):\n ans += (up[i] * down[i])\n ans %= MOD\n print(ans)\n\n\nif __name__ == \"__main__\":\n main()",
"import sys",
"sys",
"input = sys.stdin.readline",
"input",
"sys.stdin.readline",
"sys.stdin",
"sys",
"stdin",
"readline",
"def main():\n H, W, A, B = map(int, input().split())\n\n MOD = int(1e9) + 7\n\n kai = [1] * (max(H-A+W, A+W-B) + 1)\n for i in range(1, len(kai)):\n kai[i] = kai[i-1] * i\n kai[i] %= MOD\n \n up = [0] * (W-B)\n down = [0] * (W-B)\n\n t1 = H-A-1\n for i in range(W-B):\n t2 = B + 1 + i-1\n # print(t1, t2)\n up[i] = kai[t1 + t2] * pow(kai[t1], MOD-2, MOD) * pow(kai[t2], MOD-2, MOD)\n up[i] %= MOD\n t1 = A-1\n for i in range(W-B):\n t2 = W-B-i-1\n # print(t1, t2)\n down[i] = kai[t1 + t2] * pow(kai[t1], MOD-2, MOD) * pow(kai[t2], MOD-2, MOD)\n down[i] %= MOD\n \n ans = 0\n for i in range(W-B):\n ans += (up[i] * down[i])\n ans %= MOD\n print(ans)",
"main",
"H, W, A, B = map(int, input().split())",
"H",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"W",
"A",
"B",
"MOD = int(1e9) + 7",
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"int(1e9) + 7",
"int(1e9)",
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"7",
"kai = [1] * (max(H-A+W, A+W-B) + 1)",
"kai",
"[1] * (max(H-A+W, A+W-B) + 1)",
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"A+W",
"A",
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"B",
"1",
"for i in range(1, len(kai)):\n kai[i] = kai[i-1] * i\n kai[i] %= MOD\n \n ",
"i",
"range(1, len(kai))",
"range",
"1",
"len(kai)",
"len",
"kai",
"kai[i] = kai[i-1] * i",
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"i",
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"up[i]",
"up",
"i",
"kai[t1 + t2] * pow(kai[t1], MOD-2, MOD) * pow(kai[t2], MOD-2, MOD)",
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"kai[t1 + t2]",
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"for i in range(W-B):\n t2 = W-B-i-1\n # print(t1, t2)\n down[i] = kai[t1 + t2] * pow(kai[t1], MOD-2, MOD) * pow(kai[t2], MOD-2, MOD)\n down[i] %= MOD\n \n ",
"i",
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"down[i]",
"down",
"i",
"kai[t1 + t2] * pow(kai[t1], MOD-2, MOD) * pow(kai[t2], MOD-2, MOD)",
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"i",
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"W-B",
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"B",
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"__name__",
"\"__main__\"",
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"input = sys.stdin.readline",
"sys.stdin.readline",
"input",
"def main():\n H, W, A, B = map(int, input().split())\n\n MOD = int(1e9) + 7\n\n kai = [1] * (max(H-A+W, A+W-B) + 1)\n for i in range(1, len(kai)):\n kai[i] = kai[i-1] * i\n kai[i] %= MOD\n \n up = [0] * (W-B)\n down = [0] * (W-B)\n\n t1 = H-A-1\n for i in range(W-B):\n t2 = B + 1 + i-1\n # print(t1, t2)\n up[i] = kai[t1 + t2] * pow(kai[t1], MOD-2, MOD) * pow(kai[t2], MOD-2, MOD)\n up[i] %= MOD\n t1 = A-1\n for i in range(W-B):\n t2 = W-B-i-1\n # print(t1, t2)\n down[i] = kai[t1 + t2] * pow(kai[t1], MOD-2, MOD) * pow(kai[t2], MOD-2, MOD)\n down[i] %= MOD\n \n ans = 0\n for i in range(W-B):\n ans += (up[i] * down[i])\n ans %= MOD\n print(ans)",
"def main():\n H, W, A, B = map(int, input().split())\n\n MOD = int(1e9) + 7\n\n kai = [1] * (max(H-A+W, A+W-B) + 1)\n for i in range(1, len(kai)):\n kai[i] = kai[i-1] * i\n kai[i] %= MOD\n \n up = [0] * (W-B)\n down = [0] * (W-B)\n\n t1 = H-A-1\n for i in range(W-B):\n t2 = B + 1 + i-1\n # print(t1, t2)\n up[i] = kai[t1 + t2] * pow(kai[t1], MOD-2, MOD) * pow(kai[t2], MOD-2, MOD)\n up[i] %= MOD\n t1 = A-1\n for i in range(W-B):\n t2 = W-B-i-1\n # print(t1, t2)\n down[i] = kai[t1 + t2] * pow(kai[t1], MOD-2, MOD) * pow(kai[t2], MOD-2, MOD)\n down[i] %= MOD\n \n ans = 0\n for i in range(W-B):\n ans += (up[i] * down[i])\n ans %= MOD\n print(ans)",
"main"
] | import sys
input = sys.stdin.readline
def main():
H, W, A, B = map(int, input().split())
MOD = int(1e9) + 7
kai = [1] * (max(H-A+W, A+W-B) + 1)
for i in range(1, len(kai)):
kai[i] = kai[i-1] * i
kai[i] %= MOD
up = [0] * (W-B)
down = [0] * (W-B)
t1 = H-A-1
for i in range(W-B):
t2 = B + 1 + i-1
# print(t1, t2)
up[i] = kai[t1 + t2] * pow(kai[t1], MOD-2, MOD) * pow(kai[t2], MOD-2, MOD)
up[i] %= MOD
t1 = A-1
for i in range(W-B):
t2 = W-B-i-1
# print(t1, t2)
down[i] = kai[t1 + t2] * pow(kai[t1], MOD-2, MOD) * pow(kai[t2], MOD-2, MOD)
down[i] %= MOD
ans = 0
for i in range(W-B):
ans += (up[i] * down[i])
ans %= MOD
print(ans)
if __name__ == "__main__":
main() |
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7,
0,
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2,
2,
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17,
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0,
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2,
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17,
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10,
17,
13,
10,
2,
13,
10,
4,
13,
10,
2,
13,
10,
4,
13,
10,
17,
13,
10,
17,
13,
10,
13,
13,
10,
4,
13
] | [
[
158,
2
],
[
152,
9
],
[
16,
15
],
[
153,
21
],
[
29,
24
],
[
153,
25
],
[
15,
27
],
[
153,
32
],
[
15,
33
],
[
15,
35
],
[
159,
37
],
[
179,
39
],
[
179,
48
],
[
179,
49
],
[
179,
50
],
[
170,
52
],
[
176,
55
],
[
180,
56
],
[
140,
57
],
[
162,
60
],
[
147,
61
],
[
177,
66
],
[
156,
66
],
[
168,
67
],
[
141,
69
],
[
174,
69
],
[
143,
72
],
[
168,
75
],
[
177,
76
],
[
156,
76
],
[
149,
79
],
[
162,
82
],
[
141,
83
],
[
174,
83
],
[
164,
86
],
[
153,
92
],
[
177,
94
],
[
156,
94
],
[
141,
95
],
[
174,
95
],
[
153,
100
],
[
177,
101
],
[
156,
101
],
[
153,
103
],
[
141,
104
],
[
174,
104
],
[
159,
106
],
[
159,
108
],
[
153,
110
],
[
144,
112
],
[
150,
113
],
[
153,
118
],
[
144,
119
],
[
153,
121
],
[
150,
122
],
[
159,
124
],
[
159,
126
],
[
159,
127
],
[
155,
129
],
[
173,
132
],
[
165,
137
],
[
171,
137
],
[
159,
138
],
[
140,
141
],
[
143,
144
],
[
179,
147
],
[
149,
150
],
[
152,
153
],
[
155,
156
],
[
158,
159
],
[
179,
162
],
[
164,
165
],
[
179,
168
],
[
170,
171
],
[
173,
174
],
[
180,
176
],
[
176,
177
],
[
179,
180
]
] | [
"MOD = 10 ** 9 + 7\nfac = [1] * 200005\nfor i in range(len(fac) - 1):\n fac[i + 1] = fac[i] * (i + 1) % MOD\nh, w, a, b = map(int, input().split())\nans = 0\nx, y = b, h - a - 1\nwhile x < w and y >= 0:\n p = w - x - 1\n q = h - y - 1\n ans += (fac[x + y] * pow(fac[x] * fac[y], MOD - 2, MOD) *\n fac[p + q] * pow(fac[p] * fac[q], MOD - 2, MOD)) % MOD\n x += 1\n y -= 1\nprint(ans % MOD)",
"MOD = 10 ** 9 + 7",
"MOD",
"10 ** 9 + 7",
"10 ** 9",
"10",
"9",
"7",
"fac = [1] * 200005",
"fac",
"[1] * 200005",
"[1]",
"1",
"200005",
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"h - a",
"h",
"a",
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"while x < w and y >= 0:\n p = w - x - 1\n q = h - y - 1\n ans += (fac[x + y] * pow(fac[x] * fac[y], MOD - 2, MOD) *\n fac[p + q] * pow(fac[p] * fac[q], MOD - 2, MOD)) % MOD\n x += 1\n y -= 1",
"x < w and y >= 0",
"x < w",
"x",
"w",
"y >= 0",
"y",
"0",
"p = w - x - 1",
"p",
"w - x - 1",
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"w",
"x",
"1",
"q = h - y - 1",
"q",
"h - y - 1",
"h - y",
"h",
"y",
"1",
"ans += (fac[x + y] * pow(fac[x] * fac[y], MOD - 2, MOD) *\n fac[p + q] * pow(fac[p] * fac[q], MOD - 2, MOD)) % MOD",
"ans",
"(fac[x + y] * pow(fac[x] * fac[y], MOD - 2, MOD) *\n fac[p + q] * pow(fac[p] * fac[q], MOD - 2, MOD)) % MOD",
"fac[x + y] * pow(fac[x] * fac[y], MOD - 2, MOD) *\n fac[p + q] * pow(fac[p] * fac[q], MOD - 2, MOD)",
"fac[x + y] * pow(fac[x] * fac[y], MOD - 2, MOD) *\n fac[p + q]",
"fac[x + y] * pow(fac[x] * fac[y], MOD - 2, MOD)",
"fac[x + y]",
"fac",
"x + y",
"x",
"y",
"pow(fac[x] * fac[y], MOD - 2, MOD)",
"pow",
"fac[x] * fac[y]",
"fac[x]",
"fac",
"x",
"fac[y]",
"fac",
"y",
"MOD - 2",
"MOD",
"2",
"MOD",
"fac[p + q]",
"fac",
"p + q",
"p",
"q",
"pow(fac[p] * fac[q], MOD - 2, MOD)",
"pow",
"fac[p] * fac[q]",
"fac[p]",
"fac",
"p",
"fac[q]",
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"q",
"MOD - 2",
"MOD",
"2",
"MOD",
"MOD",
"x += 1",
"x",
"1",
"y -= 1",
"y",
"1",
"print(ans % MOD)",
"print",
"ans % MOD",
"ans",
"MOD",
"y = b, h - a - 1",
"h - a - 1",
"y",
"p = w - x - 1",
"w - x - 1",
"p",
"a, b = map(int, input().split())",
"map(int, input().split())",
"a",
"q = h - y - 1",
"h - y - 1",
"q",
"fac = [1] * 200005",
"[1] * 200005",
"fac",
"x += 1",
"1",
"x",
"MOD = 10 ** 9 + 7",
"10 ** 9 + 7",
"MOD",
"h, w, a, b = map(int, input().split())",
"map(int, input().split())",
"h",
"ans += (fac[x + y] * pow(fac[x] * fac[y], MOD - 2, MOD) *\n fac[p + q] * pow(fac[p] * fac[q], MOD - 2, MOD)) % MOD",
"(fac[x + y] * pow(fac[x] * fac[y], MOD - 2, MOD) *\n fac[p + q] * pow(fac[p] * fac[q], MOD - 2, MOD)) % MOD",
"ans",
"w, a, b = map(int, input().split())",
"map(int, input().split())",
"w",
"ans = 0",
"0",
"ans",
"y -= 1",
"1",
"y",
"x, y = b, h - a - 1",
"b",
"x",
"b = map(int, input().split())",
"map(int, input().split())",
"b"
] | MOD = 10 ** 9 + 7
fac = [1] * 200005
for i in range(len(fac) - 1):
fac[i + 1] = fac[i] * (i + 1) % MOD
h, w, a, b = map(int, input().split())
ans = 0
x, y = b, h - a - 1
while x < w and y >= 0:
p = w - x - 1
q = h - y - 1
ans += (fac[x + y] * pow(fac[x] * fac[y], MOD - 2, MOD) *
fac[p + q] * pow(fac[p] * fac[q], MOD - 2, MOD)) % MOD
x += 1
y -= 1
print(ans % MOD) |
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] | [
[
221,
2
],
[
221,
11
],
[
221,
12
],
[
221,
13
],
[
188,
15
],
[
61,
27
],
[
61,
30
],
[
59,
31
],
[
36,
35
],
[
61,
38
],
[
59,
40
],
[
61,
41
],
[
59,
48
],
[
35,
51
],
[
61,
51
],
[
59,
55
],
[
35,
56
],
[
61,
56
],
[
63,
57
],
[
59,
59
],
[
61,
61
],
[
63,
63
],
[
197,
65
],
[
206,
70
],
[
194,
75
],
[
81,
80
],
[
198,
89
],
[
198,
94
],
[
80,
96
],
[
189,
97
],
[
195,
100
],
[
195,
106
],
[
189,
108
],
[
80,
109
],
[
189,
111
],
[
80,
112
],
[
189,
113
],
[
207,
116
],
[
207,
121
],
[
195,
124
],
[
189,
126
],
[
191,
128
],
[
132,
131
],
[
213,
137
],
[
222,
138
],
[
215,
141
],
[
201,
143
],
[
131,
147
],
[
210,
149
],
[
131,
152
],
[
189,
154
],
[
185,
156
],
[
201,
158
],
[
213,
163
],
[
131,
164
],
[
204,
165
],
[
210,
166
],
[
213,
169
],
[
131,
170
],
[
189,
171
],
[
218,
173
],
[
186,
174
],
[
216,
174
],
[
182,
176
],
[
189,
177
],
[
183,
180
],
[
219,
180
],
[
192,
180
],
[
189,
182
],
[
182,
183
],
[
185,
186
],
[
188,
189
],
[
191,
192
],
[
194,
195
],
[
197,
198
],
[
221,
204
],
[
206,
207
],
[
221,
210
],
[
221,
213
],
[
215,
216
],
[
186,
218
],
[
216,
218
],
[
218,
219
],
[
221,
222
]
] | [
"h,w,a,b=map(int,input().split())\nmod=pow(10,9)+7\n\n# コンビネーション、さらに高速。あらかじめO(N)の計算をすることでのちの計算が早くなる\ndef cmb(n, r, mod):\n if ( r<0 or r>n ):\n return 0\n r = min(r, n-r)\n return g1[n] * g2[r] * g2[n-r] % mod\ng1 = [1, 1] \ng2 = [1, 1] \ninverse = [0, 1]\nfor i in range( 2, 200000 + 1 ):\n g1.append( ( g1[-1] * i ) % mod )\n inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )\n g2.append( (g2[-1] * inverse[-1]) % mod )\nans=0\nfor k in range(1,h-a+1):\n tmp=cmb(k-1+b-1,k-1,mod)\n tmp*=cmb(h-k+w-b-1,h-k,mod)\n ans+=tmp\n ans%=mod\nprint(ans)",
"h,w,a,b=map(int,input().split())",
"h",
"map(int,input().split())",
"map",
"int",
"input().split()",
"().split",
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"9",
"7",
"def cmb(n, r, mod):\n if ( r<0 or r>n ):\n return 0\n r = min(r, n-r)\n return g1[n] * g2[r] * g2[n-r] % mod",
"cmb",
"if ( r<0 or r>n ):\n return 0\n ",
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"i",
"range( 2, 200000 + 1 )",
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"-1",
"inverse[-1]",
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"ans=0",
"ans",
"0",
"for k in range(1,h-a+1):\n tmp=cmb(k-1+b-1,k-1,mod)\n tmp*=cmb(h-k+w-b-1,h-k,mod)\n ans+=tmp\n ans%=mod",
"k",
"range(1,h-a+1)",
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"h-a+1",
"h-a",
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"ans%=mod",
"mod",
"ans",
"tmp*=cmb(h-k+w-b-1,h-k,mod)",
"cmb(h-k+w-b-1,h-k,mod)",
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"mod=pow(10,9)+7",
"pow(10,9)+7",
"mod",
"ans=0",
"0",
"ans",
"inverse = [0, 1]",
"[0, 1]",
"inverse",
"g1 = [1, 1]",
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"g1",
"def cmb(n, r, mod):\n if ( r<0 or r>n ):\n return 0\n r = min(r, n-r)\n return g1[n] * g2[r] * g2[n-r] % mod",
"def cmb(n, r, mod):\n if ( r<0 or r>n ):\n return 0\n r = min(r, n-r)\n return g1[n] * g2[r] * g2[n-r] % mod",
"cmb",
"w,a,b=map(int,input().split())",
"map(int,input().split())",
"w",
"g2 = [1, 1]",
"[1, 1]",
"g2",
"b=map(int,input().split())",
"map(int,input().split())",
"b",
"h,w,a,b=map(int,input().split())",
"map(int,input().split())",
"h",
"tmp=cmb(k-1+b-1,k-1,mod)",
"cmb(k-1+b-1,k-1,mod)",
"tmp",
"ans+=tmp",
"tmp",
"ans",
"a,b=map(int,input().split())",
"map(int,input().split())",
"a"
] | h,w,a,b=map(int,input().split())
mod=pow(10,9)+7
# コンビネーション、さらに高速。あらかじめO(N)の計算をすることでのちの計算が早くなる
def cmb(n, r, mod):
if ( r<0 or r>n ):
return 0
r = min(r, n-r)
return g1[n] * g2[r] * g2[n-r] % mod
g1 = [1, 1]
g2 = [1, 1]
inverse = [0, 1]
for i in range( 2, 200000 + 1 ):
g1.append( ( g1[-1] * i ) % mod )
inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
g2.append( (g2[-1] * inverse[-1]) % mod )
ans=0
for k in range(1,h-a+1):
tmp=cmb(k-1+b-1,k-1,mod)
tmp*=cmb(h-k+w-b-1,h-k,mod)
ans+=tmp
ans%=mod
print(ans) |
[
7,
0,
13,
4,
13,
13,
4,
18,
4,
18,
4,
13,
17,
13,
13,
13,
13,
13,
0,
13,
2,
2,
17,
17,
17,
12,
13,
14,
2,
13,
2,
13,
13,
0,
13,
2,
13,
13,
0,
13,
17,
0,
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] | [
"H, W, A, B = map(int, open(0).read().split())\nMOD = 10**9+7\n\ndef modcomb(m, n, mod):\n if n > m - n:\n n = m - n\n p = 1\n q = 1\n for i in range(n):\n p = p * (m - i) % mod\n q = q * (i + 1) % mod\n result = p * pow(q, mod - 2, mod) % mod\n return result\n\ntotal = modcomb(H + W - 2, W - 1, MOD)\n\ntmp = modcomb(A + W - 2, W - 1, MOD)\ntotal -= tmp\n\nfor i in range(B - 1):\n a = H - A + i\n b = i + 1\n c = W - i - 1\n d = W + A - 2 - i\n# print(a,b,c,d)\n tmp = tmp * a * c % MOD\n tmp = tmp * pow(b, -1, MOD) % MOD\n tmp = tmp * pow(d, -1, MOD) % MOD\n# print(tmp)\n total = (total - tmp) % MOD\n\nprint(total)",
"H, W, A, B = map(int, open(0).read().split())",
"H",
"map(int, open(0).read().split())",
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"def modcomb(m, n, mod):\n if n > m - n:\n n = m - n\n p = 1\n q = 1\n for i in range(n):\n p = p * (m - i) % mod\n q = q * (i + 1) % mod\n result = p * pow(q, mod - 2, mod) % mod\n return result",
"modcomb",
"if n > m - n:\n n = m - n\n ",
"n > m - n",
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"m - n",
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"n",
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"H, W, A, B = map(int, open(0).read().split())",
"map(int, open(0).read().split())",
"H",
"tmp = modcomb(A + W - 2, W - 1, MOD)",
"modcomb(A + W - 2, W - 1, MOD)",
"tmp",
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"i + 1",
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"MOD = 10**9+7",
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"tmp = tmp * pow(b, -1, MOD) % MOD",
"tmp * pow(b, -1, MOD) % MOD",
"tmp",
"tmp = tmp * pow(d, -1, MOD) % MOD",
"tmp * pow(d, -1, MOD) % MOD",
"tmp",
"def modcomb(m, n, mod):\n if n > m - n:\n n = m - n\n p = 1\n q = 1\n for i in range(n):\n p = p * (m - i) % mod\n q = q * (i + 1) % mod\n result = p * pow(q, mod - 2, mod) % mod\n return result",
"def modcomb(m, n, mod):\n if n > m - n:\n n = m - n\n p = 1\n q = 1\n for i in range(n):\n p = p * (m - i) % mod\n q = q * (i + 1) % mod\n result = p * pow(q, mod - 2, mod) % mod\n return result",
"modcomb",
"c = W - i - 1",
"W - i - 1",
"c",
"B = map(int, open(0).read().split())",
"map(int, open(0).read().split())",
"B",
"A, B = map(int, open(0).read().split())",
"map(int, open(0).read().split())",
"A",
"total = modcomb(H + W - 2, W - 1, MOD)",
"modcomb(H + W - 2, W - 1, MOD)",
"total",
"W, A, B = map(int, open(0).read().split())",
"map(int, open(0).read().split())",
"W",
"a = H - A + i",
"H - A + i",
"a",
"total = (total - tmp) % MOD",
"(total - tmp) % MOD",
"total"
] | H, W, A, B = map(int, open(0).read().split())
MOD = 10**9+7
def modcomb(m, n, mod):
if n > m - n:
n = m - n
p = 1
q = 1
for i in range(n):
p = p * (m - i) % mod
q = q * (i + 1) % mod
result = p * pow(q, mod - 2, mod) % mod
return result
total = modcomb(H + W - 2, W - 1, MOD)
tmp = modcomb(A + W - 2, W - 1, MOD)
total -= tmp
for i in range(B - 1):
a = H - A + i
b = i + 1
c = W - i - 1
d = W + A - 2 - i
# print(a,b,c,d)
tmp = tmp * a * c % MOD
tmp = tmp * pow(b, -1, MOD) % MOD
tmp = tmp * pow(d, -1, MOD) % MOD
# print(tmp)
total = (total - tmp) % MOD
print(total) |
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241,
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241,
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241,
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[
220,
15
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242,
18
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205,
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[
229,
27
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221,
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202,
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221,
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47,
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221,
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235,
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46,
55
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223,
57
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224,
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236,
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191,
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211,
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230,
69
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221,
71
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206,
74
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[
206,
76
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79,
78
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[
221,
82
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90,
87
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203,
88
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78,
89
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[
212,
90
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[
224,
90
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[
236,
90
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[
191,
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239,
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200,
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199,
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78,
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238,
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206,
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230,
104
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116,
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203,
107
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203,
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118,
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118,
118
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214,
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233,
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144,
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242,
176
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197,
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206,
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208,
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206,
182
],
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209,
185
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218,
185
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188,
185
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[
187,
188
],
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190,
191
],
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241,
197
],
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78,
199
],
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199,
200
],
[
202,
203
],
[
205,
206
],
[
206,
208
],
[
208,
209
],
[
211,
212
],
[
214,
215
],
[
217,
218
],
[
220,
221
],
[
206,
223
],
[
223,
224
],
[
241,
227
],
[
229,
230
],
[
241,
233
],
[
46,
235
],
[
235,
236
],
[
206,
238
],
[
238,
239
],
[
241,
242
]
] | [
"h,w,a,b=map(int,input().split())\nN=h+w\nmod=10**9+7\nfac=[1]*(N+2)\ninv=[1]*(N+2)\nt=1\nfor i in range(1,N+2):\n t*=i\n t%=mod\n fac[i]=t\nt=pow(fac[N+1],mod-2,mod)\nfor i in range(N+1,0,-1):\n inv[i]=t\n t*=i\n t%=mod\ndef comb(n,r):\n return fac[n]*inv[n-r]*inv[r]%mod\nc=[0]\nfor i in range(h-a):\n c.append(comb(b+i,i))\nans=0\nfor i in range(h-a):\n ans+=(c[i+1]-c[i])*comb(w-b+h-i-2,w-b-1)%mod\n ans%=mod\nprint(ans)",
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"10**9",
"10",
"9",
"7",
"fac=[1]*(N+2)",
"fac",
"[1]*(N+2)",
"[1]",
"1",
"N+2",
"N",
"2",
"inv=[1]*(N+2)",
"inv",
"[1]*(N+2)",
"[1]",
"1",
"N+2",
"N",
"2",
"t=1",
"t",
"1",
"for i in range(1,N+2):\n t*=i\n t%=mod\n fac[i]=t",
"i",
"range(1,N+2)",
"range",
"1",
"N+2",
"N",
"2",
"t*=i",
"t",
"i",
"t%=mod",
"t",
"mod",
"fac[i]=t",
"fac[i]",
"fac",
"i",
"t",
"t=pow(fac[N+1],mod-2,mod)",
"t",
"pow(fac[N+1],mod-2,mod)",
"pow",
"fac[N+1]",
"fac",
"N+1",
"N",
"1",
"mod-2",
"mod",
"2",
"mod",
"for i in range(N+1,0,-1):\n inv[i]=t\n t*=i\n t%=mod",
"i",
"range(N+1,0,-1)",
"range",
"N+1",
"N",
"1",
"0",
"-1",
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"inv[i]",
"inv",
"i",
"t",
"t*=i",
"t",
"i",
"t%=mod",
"t",
"mod",
"def comb(n,r):\n return fac[n]*inv[n-r]*inv[r]%mod",
"comb",
"return fac[n]*inv[n-r]*inv[r]%mod",
"fac[n]*inv[n-r]*inv[r]%mod",
"fac[n]*inv[n-r]*inv[r]",
"fac[n]*inv[n-r]",
"fac[n]",
"fac",
"n",
"inv[n-r]",
"inv",
"n-r",
"n",
"r",
"inv[r]",
"inv",
"r",
"mod",
"n",
"n",
"r",
"r",
"c=[0]",
"c",
"[0]",
"0",
"for i in range(h-a):\n c.append(comb(b+i,i))",
"i",
"range(h-a)",
"range",
"h-a",
"h",
"a",
"c.append(comb(b+i,i))",
"c.append",
"c",
"append",
"comb(b+i,i)",
"comb",
"b+i",
"b",
"i",
"i",
"ans=0",
"ans",
"0",
"for i in range(h-a):\n ans+=(c[i+1]-c[i])*comb(w-b+h-i-2,w-b-1)%mod\n ans%=mod",
"i",
"range(h-a)",
"range",
"h-a",
"h",
"a",
"ans+=(c[i+1]-c[i])*comb(w-b+h-i-2,w-b-1)%mod",
"ans",
"(c[i+1]-c[i])*comb(w-b+h-i-2,w-b-1)%mod",
"(c[i+1]-c[i])*comb(w-b+h-i-2,w-b-1)",
"c[i+1]-c[i]",
"c[i+1]",
"c",
"i+1",
"i",
"1",
"c[i]",
"c",
"i",
"comb(w-b+h-i-2,w-b-1)",
"comb",
"w-b+h-i-2",
"w-b+h-i",
"w-b+h",
"w-b",
"w",
"b",
"h",
"i",
"2",
"w-b-1",
"w-b",
"w",
"b",
"1",
"mod",
"ans%=mod",
"ans",
"mod",
"print(ans)",
"print",
"ans",
"ans=0",
"0",
"ans",
"t=1",
"1",
"t",
"def comb(n,r):\n return fac[n]*inv[n-r]*inv[r]%mod",
"def comb(n,r):\n return fac[n]*inv[n-r]*inv[r]%mod",
"comb",
"b=map(int,input().split())",
"map(int,input().split())",
"b",
"t*=i",
"i",
"t",
"inv=[1]*(N+2)",
"[1]*(N+2)",
"inv",
"mod=10**9+7",
"10**9+7",
"mod",
"ans%=mod",
"mod",
"ans",
"t=pow(fac[N+1],mod-2,mod)",
"pow(fac[N+1],mod-2,mod)",
"t",
"c=[0]",
"[0]",
"c",
"ans+=(c[i+1]-c[i])*comb(w-b+h-i-2,w-b-1)%mod",
"(c[i+1]-c[i])*comb(w-b+h-i-2,w-b-1)%mod",
"ans",
"N=h+w",
"h+w",
"N",
"t%=mod",
"mod",
"t",
"a,b=map(int,input().split())",
"map(int,input().split())",
"a",
"fac=[1]*(N+2)",
"[1]*(N+2)",
"fac",
"h,w,a,b=map(int,input().split())",
"map(int,input().split())",
"h",
"t*=i",
"i",
"t",
"t%=mod",
"mod",
"t",
"w,a,b=map(int,input().split())",
"map(int,input().split())",
"w"
] | h,w,a,b=map(int,input().split())
N=h+w
mod=10**9+7
fac=[1]*(N+2)
inv=[1]*(N+2)
t=1
for i in range(1,N+2):
t*=i
t%=mod
fac[i]=t
t=pow(fac[N+1],mod-2,mod)
for i in range(N+1,0,-1):
inv[i]=t
t*=i
t%=mod
def comb(n,r):
return fac[n]*inv[n-r]*inv[r]%mod
c=[0]
for i in range(h-a):
c.append(comb(b+i,i))
ans=0
for i in range(h-a):
ans+=(c[i+1]-c[i])*comb(w-b+h-i-2,w-b-1)%mod
ans%=mod
print(ans) |
[
7,
15,
13,
0,
13,
4,
13,
13,
4,
18,
4,
13,
13,
13,
13,
13,
0,
13,
2,
2,
17,
17,
17,
12,
13,
14,
2,
13,
17,
29,
17,
14,
2,
13,
17,
29,
2,
13,
13,
14,
2,
2,
13,
17,
17,
29,
2,
2,
4,
13,
13,
2,
13,
17,
17,
13,
29,
2,
2,
2,
4,
13,
13,
2,
13,
17,
17,
13,
13,
23,
13,
23,
13,
0,
13,
39,
17,
28,
13,
4,
13,
17,
2,
13,
13,
0,
13,
2,
2,
18,
13,
2,
13,
17,
13,
13,
4,
18,
13,
13,
13,
0,
13,
2,
39,
17,
2,
13,
13,
0,
18,
13,
2,
2,
13,
13,
17,
4,
13,
18,
13,
2,
2,
13,
13,
17,
2,
13,
17,
28,
13,
4,
13,
2,
2,
13,
13,
17,
17,
17,
0,
18,
13,
13,
2,
2,
18,
13,
2,
13,
17,
2,
13,
17,
13,
12,
13,
29,
2,
2,
2,
18,
13,
13,
18,
13,
13,
18,
13,
2,
13,
13,
13,
23,
13,
23,
13,
0,
13,
17,
28,
13,
4,
13,
2,
13,
13,
0,
13,
4,
13,
2,
2,
2,
2,
13,
13,
13,
13,
17,
2,
2,
13,
13,
17,
0,
13,
4,
13,
2,
2,
13,
13,
17,
13,
0,
13,
2,
13,
2,
13,
13,
4,
13,
2,
13,
13,
10,
4,
13,
10,
39,
13,
10,
4,
13,
10,
2,
13,
10,
12,
13,
10,
4,
13,
10,
2,
13,
10,
4,
13,
10,
4,
13,
10,
2,
13,
10,
17,
13,
10,
4,
13,
10,
2,
13,
10,
12,
13
] | [
[
252,
4
],
[
252,
13
],
[
252,
14
],
[
252,
15
],
[
264,
17
],
[
72,
27
],
[
72,
33
],
[
70,
37
],
[
265,
38
],
[
72,
42
],
[
70,
50
],
[
72,
52
],
[
265,
55
],
[
70,
62
],
[
72,
64
],
[
70,
67
],
[
265,
68
],
[
70,
70
],
[
72,
72
],
[
231,
74
],
[
79,
78
],
[
250,
83
],
[
235,
84
],
[
255,
86
],
[
232,
90
],
[
78,
92
],
[
78,
94
],
[
265,
95
],
[
232,
98
],
[
256,
100
],
[
237,
102
],
[
250,
107
],
[
235,
108
],
[
117,
110
],
[
238,
111
],
[
250,
114
],
[
235,
115
],
[
241,
118
],
[
232,
120
],
[
250,
123
],
[
235,
124
],
[
265,
127
],
[
131,
130
],
[
250,
135
],
[
235,
136
],
[
144,
141
],
[
238,
142
],
[
130,
143
],
[
238,
147
],
[
130,
149
],
[
130,
152
],
[
265,
154
],
[
232,
162
],
[
174,
163
],
[
238,
165
],
[
176,
166
],
[
238,
168
],
[
174,
170
],
[
176,
171
],
[
265,
172
],
[
174,
174
],
[
176,
176
],
[
258,
178
],
[
182,
181
],
[
235,
185
],
[
244,
186
],
[
261,
188
],
[
268,
190
],
[
250,
195
],
[
235,
196
],
[
253,
197
],
[
181,
198
],
[
250,
202
],
[
253,
203
],
[
228,
206
],
[
268,
208
],
[
253,
211
],
[
181,
212
],
[
181,
214
],
[
246,
216
],
[
259,
218
],
[
247,
218
],
[
262,
220
],
[
229,
221
],
[
247,
225
],
[
259,
225
],
[
265,
226
],
[
228,
229
],
[
231,
232
],
[
252,
235
],
[
237,
238
],
[
252,
244
],
[
246,
247
],
[
252,
250
],
[
252,
253
],
[
255,
256
],
[
258,
259
],
[
261,
262
],
[
264,
265
]
] | [
"import math\nH, W, A, B = map(int,input().split())\ne = 10**9 + 7\ndef power(a,b):\n if b == 0:\n return 1\n elif b == 1:\n return a % e\n elif b%2 == 0:\n return power(a,b//2)**2 % e\n else:\n return power(a,b//2)**2*a % e\n \nM = [1]\nfor i in range(1,H+W):\n a = M[i-1]*i%e\n M.append(a)\nN= [0]*(H+W)\nN[H+W-1] = power(M[H+W-1], e-2)\nfor i in range(H+W-2, -1, -1):\n N[i] = N[i+1] * (i+1) % e\n\ndef c(a,b):\n return M[a]*N[b]*N[a-b]%e\n\nT = 0\nfor i in range(W-B):\n P = c(H+W-A-i-2,H-A-1)\n Q = c(A+i-1,i)\n T = (T + P*Q)\nprint(T%e)",
"import math",
"math",
"H, W, A, B = map(int,input().split())",
"H",
"map(int,input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"W",
"A",
"B",
"e = 10**9 + 7",
"e",
"10**9 + 7",
"10**9",
"10",
"9",
"7",
"def power(a,b):\n if b == 0:\n return 1\n elif b == 1:\n return a % e\n elif b%2 == 0:\n return power(a,b//2)**2 % e\n else:\n return power(a,b//2)**2*a % e\n ",
"power",
"if b == 0:\n return 1\n elif b == 1:\n return a % e\n elif b%2 == 0:\n return power(a,b//2)**2 % e\n else:\n return power(a,b//2)**2*a % e\n ",
"b == 0",
"b",
"0",
"return 1",
"1",
"elif b == 1:\n return a % e\n ",
"b == 1",
"b",
"1",
"return a % e",
"a % e",
"a",
"e",
"elif b%2 == 0:\n return power(a,b//2)**2 % e\n ",
"b%2 == 0",
"b%2",
"b",
"2",
"0",
"return power(a,b//2)**2 % e",
"power(a,b//2)**2 % e",
"power(a,b//2)**2",
"power(a,b//2)",
"power",
"a",
"b//2",
"b",
"2",
"2",
"e",
"return power(a,b//2)**2*a % e",
"power(a,b//2)**2*a % e",
"power(a,b//2)**2*a",
"power(a,b//2)**2",
"power(a,b//2)",
"power",
"a",
"b//2",
"b",
"2",
"2",
"a",
"e",
"a",
"a",
"b",
"b",
"M = [1]",
"M",
"[1]",
"1",
"for i in range(1,H+W):\n a = M[i-1]*i%e\n M.append(a)",
"i",
"range(1,H+W)",
"range",
"1",
"H+W",
"H",
"W",
"a = M[i-1]*i%e",
"a",
"M[i-1]*i%e",
"M[i-1]*i",
"M[i-1]",
"M",
"i-1",
"i",
"1",
"i",
"e",
"M.append(a)",
"M.append",
"M",
"append",
"a",
"N= [0]*(H+W)",
"N",
"[0]*(H+W)",
"[0]",
"0",
"H+W",
"H",
"W",
"N[H+W-1] = power(M[H+W-1], e-2)",
"N[H+W-1]",
"N",
"H+W-1",
"H+W",
"H",
"W",
"1",
"power(M[H+W-1], e-2)",
"power",
"M[H+W-1]",
"M",
"H+W-1",
"H+W",
"H",
"W",
"1",
"e-2",
"e",
"2",
"for i in range(H+W-2, -1, -1):\n N[i] = N[i+1] * (i+1) % e",
"i",
"range(H+W-2, -1, -1)",
"range",
"H+W-2",
"H+W",
"H",
"W",
"2",
"-1",
"-1",
"N[i] = N[i+1] * (i+1) % e",
"N[i]",
"N",
"i",
"N[i+1] * (i+1) % e",
"N[i+1] * (i+1)",
"N[i+1]",
"N",
"i+1",
"i",
"1",
"i+1",
"i",
"1",
"e",
"def c(a,b):\n return M[a]*N[b]*N[a-b]%e",
"c",
"return M[a]*N[b]*N[a-b]%e",
"M[a]*N[b]*N[a-b]%e",
"M[a]*N[b]*N[a-b]",
"M[a]*N[b]",
"M[a]",
"M",
"a",
"N[b]",
"N",
"b",
"N[a-b]",
"N",
"a-b",
"a",
"b",
"e",
"a",
"a",
"b",
"b",
"T = 0",
"T",
"0",
"for i in range(W-B):\n P = c(H+W-A-i-2,H-A-1)\n Q = c(A+i-1,i)\n T = (T + P*Q)",
"i",
"range(W-B)",
"range",
"W-B",
"W",
"B",
"P = c(H+W-A-i-2,H-A-1)",
"P",
"c(H+W-A-i-2,H-A-1)",
"c",
"H+W-A-i-2",
"H+W-A-i",
"H+W-A",
"H+W",
"H",
"W",
"A",
"i",
"2",
"H-A-1",
"H-A",
"H",
"A",
"1",
"Q = c(A+i-1,i)",
"Q",
"c(A+i-1,i)",
"c",
"A+i-1",
"A+i",
"A",
"i",
"1",
"i",
"T = (T + P*Q)",
"T",
"T + P*Q",
"T",
"P*Q",
"P",
"Q",
"print(T%e)",
"print",
"T%e",
"T",
"e",
"Q = c(A+i-1,i)",
"c(A+i-1,i)",
"Q",
"M = [1]",
"[1]",
"M",
"W, A, B = map(int,input().split())",
"map(int,input().split())",
"W",
"N= [0]*(H+W)",
"[0]*(H+W)",
"N",
"def power(a,b):\n if b == 0:\n return 1\n elif b == 1:\n return a % e\n elif b%2 == 0:\n return power(a,b//2)**2 % e\n else:\n return power(a,b//2)**2*a % e\n ",
"def power(a,b):\n if b == 0:\n return 1\n elif b == 1:\n return a % e\n elif b%2 == 0:\n return power(a,b//2)**2 % e\n else:\n return power(a,b//2)**2*a % e\n ",
"power",
"B = map(int,input().split())",
"map(int,input().split())",
"B",
"T = (T + P*Q)",
"T + P*Q",
"T",
"H, W, A, B = map(int,input().split())",
"map(int,input().split())",
"H",
"A, B = map(int,input().split())",
"map(int,input().split())",
"A",
"a = M[i-1]*i%e",
"M[i-1]*i%e",
"a",
"T = 0",
"0",
"T",
"P = c(H+W-A-i-2,H-A-1)",
"c(H+W-A-i-2,H-A-1)",
"P",
"e = 10**9 + 7",
"10**9 + 7",
"e",
"def c(a,b):\n return M[a]*N[b]*N[a-b]%e",
"def c(a,b):\n return M[a]*N[b]*N[a-b]%e",
"c"
] | import math
H, W, A, B = map(int,input().split())
e = 10**9 + 7
def power(a,b):
if b == 0:
return 1
elif b == 1:
return a % e
elif b%2 == 0:
return power(a,b//2)**2 % e
else:
return power(a,b//2)**2*a % e
M = [1]
for i in range(1,H+W):
a = M[i-1]*i%e
M.append(a)
N= [0]*(H+W)
N[H+W-1] = power(M[H+W-1], e-2)
for i in range(H+W-2, -1, -1):
N[i] = N[i+1] * (i+1) % e
def c(a,b):
return M[a]*N[b]*N[a-b]%e
T = 0
for i in range(W-B):
P = c(H+W-A-i-2,H-A-1)
Q = c(A+i-1,i)
T = (T + P*Q)
print(T%e) |
[
7,
0,
13,
2,
2,
17,
17,
17,
0,
13,
12,
4,
13,
13,
2,
13,
17,
13,
23,
0,
13,
4,
13,
13,
4,
18,
4,
13,
13,
13,
13,
13,
0,
13,
17,
0,
13,
17,
28,
13,
4,
13,
2,
13,
17,
28,
13,
4,
13,
17,
2,
13,
13,
4,
13,
2,
13,
13,
10,
2,
13,
10,
4,
13,
10,
17,
13,
10,
4,
13,
10,
17,
13,
10,
4,
13,
10,
4,
13,
10,
12,
13
] | [
[
59,
2
],
[
80,
9
],
[
60,
15
],
[
60,
17
],
[
77,
20
],
[
77,
29
],
[
77,
30
],
[
77,
31
],
[
71,
33
],
[
71,
36
],
[
40,
39
],
[
69,
43
],
[
47,
46
],
[
69,
51
],
[
63,
52
],
[
66,
56
],
[
60,
57
],
[
59,
60
],
[
77,
63
],
[
71,
66
],
[
77,
69
],
[
71,
72
],
[
77,
75
],
[
77,
78
],
[
80,
81
]
] | [
"M=10**9+7;F=lambda X:pow(X,M-2,M);H,W,A,B=map(int,input().split());Z=C=1\nfor I in range(H-1):Z=C=C*(W+H-B-2-I)*F(I+1)%M\nfor I in range(1,H-A):C=C*(B-1+I)*(H-I)*F(I*(W+H-B-1-I))%M;Z+=C\nprint(Z%M)",
"M=10**9+7",
"M",
"10**9+7",
"10**9",
"10",
"9",
"7",
"F=lambda X:pow(X,M-2,M)",
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"M",
"A,B=map(int,input().split())",
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"A",
"Z=C=1",
"1",
"Z",
"H,W,A,B=map(int,input().split())",
"map(int,input().split())",
"H",
"C=1",
"1",
"C",
"W,A,B=map(int,input().split())",
"map(int,input().split())",
"W",
"B=map(int,input().split())",
"map(int,input().split())",
"B",
"F=lambda X:pow(X,M-2,M)",
"lambda X:pow(X,M-2,M)",
"F"
] | M=10**9+7;F=lambda X:pow(X,M-2,M);H,W,A,B=map(int,input().split());Z=C=1
for I in range(H-1):Z=C=C*(W+H-B-2-I)*F(I+1)%M
for I in range(1,H-A):C=C*(B-1+I)*(H-I)*F(I*(W+H-B-1-I))%M;Z+=C
print(Z%M)
|
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
4,
13,
4,
13,
13,
10,
4,
13,
10,
4,
13
] | [
[
27,
2
],
[
30,
8
],
[
27,
28
],
[
30,
31
]
] | [
"N = int(input())\nL = sorted(list(map(int,input().split())))\nprint(sum(i for i in L[::2]))",
"N = int(input())",
"N",
"int(input())",
"int",
"input()",
"input",
"L = sorted(list(map(int,input().split())))",
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"N = int(input())",
"int(input())",
"N",
"L = sorted(list(map(int,input().split())))",
"sorted(list(map(int,input().split())))",
"L"
] | N = int(input())
L = sorted(list(map(int,input().split())))
print(sum(i for i in L[::2])) |
[
7,
15,
13,
12,
13,
29,
4,
18,
4,
18,
18,
13,
13,
13,
13,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
0,
13,
17,
28,
13,
4,
13,
17,
2,
17,
13,
17,
0,
13,
18,
13,
13,
4,
13,
13,
10,
4,
13,
10,
17,
13,
10,
4,
13,
10,
18,
13,
10,
12,
13
] | [
[
56,
16
],
[
69,
20
],
[
62,
22
],
[
69,
33
],
[
59,
36
],
[
40,
39
],
[
57,
45
],
[
65,
48
],
[
63,
50
],
[
39,
51
],
[
66,
54
],
[
60,
54
],
[
56,
57
],
[
59,
60
],
[
62,
63
],
[
65,
66
]
] | [
"import sys\ndef input():\n return sys.stdin.readline().rstrip()\n\nN=int(input())\nL=sorted(list(map(int,input().split())))\n\nans=0\nfor i in range(0,2*N,2):\n ans+=L[i]\n\nprint(ans)",
"import sys",
"sys",
"def input():\n return sys.stdin.readline().rstrip()",
"input",
"return sys.stdin.readline().rstrip()",
"sys.stdin.readline().rstrip()",
"sys.stdin.readline().rstrip",
"sys.stdin.readline()",
"sys.stdin.readline",
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"L",
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"ans=0",
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"for i in range(0,2*N,2):\n ans+=L[i]",
"i",
"range(0,2*N,2)",
"range",
"0",
"2*N",
"2",
"N",
"2",
"ans+=L[i]",
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"N=int(input())",
"int(input())",
"N",
"ans=0",
"0",
"ans",
"L=sorted(list(map(int,input().split())))",
"sorted(list(map(int,input().split())))",
"L",
"ans+=L[i]",
"L[i]",
"ans",
"def input():\n return sys.stdin.readline().rstrip()",
"def input():\n return sys.stdin.readline().rstrip()",
"input"
] | import sys
def input():
return sys.stdin.readline().rstrip()
N=int(input())
L=sorted(list(map(int,input().split())))
ans=0
for i in range(0,2*N,2):
ans+=L[i]
print(ans)
|
[
7,
15,
13,
0,
13,
4,
13,
4,
13,
41,
28,
13,
4,
18,
4,
13,
13,
4,
4,
13,
13,
0,
13,
4,
13,
13,
0,
13,
4,
18,
13,
13,
13,
4,
13,
4,
18,
13,
13,
18,
13,
4,
18,
13,
13,
17,
2,
17,
13,
17,
10,
4,
13,
10,
4,
13,
10,
4,
13
] | [
[
51,
4
],
[
12,
11
],
[
11,
20
],
[
54,
22
],
[
57,
27
],
[
55,
32
],
[
58,
40
],
[
55,
40
],
[
52,
48
],
[
51,
52
],
[
54,
55
],
[
57,
58
]
] | [
"import numpy as np\nn = int(input())\nl = sorted([int(i) for i in input().split()])\nl = np.array(l)\nprint(np.sum(l[np.arange(0,2*n,2)]))",
"import numpy as np",
"numpy",
"n = int(input())",
"n",
"int(input())",
"int",
"input()",
"input",
"int(i) for i in input().split()",
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"input().split()",
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"for i in input().split()",
"int(i)",
"int",
"i",
"l = sorted([int(i) for i in input().split()])",
"l",
"sorted([int(i) for i in input().split()])",
"sorted",
"[int(i) for i in input().split()]",
"l = np.array(l)",
"l",
"np.array(l)",
"np.array",
"np",
"array",
"l",
"print(np.sum(l[np.arange(0,2*n,2)]))",
"print",
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"2*n",
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"n",
"2",
"n = int(input())",
"int(input())",
"n",
"l = sorted([int(i) for i in input().split()])",
"sorted([int(i) for i in input().split()])",
"l",
"l = np.array(l)",
"np.array(l)",
"l"
] | import numpy as np
n = int(input())
l = sorted([int(i) for i in input().split()])
l = np.array(l)
print(np.sum(l[np.arange(0,2*n,2)])) |
[
7,
0,
13,
4,
13,
0,
13,
4,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
0,
13,
17,
28,
13,
4,
13,
17,
4,
13,
13,
17,
0,
13,
18,
13,
13,
4,
13,
13,
10,
17,
13,
10,
18,
13,
10,
4,
13,
10,
4,
13
] | [
[
49,
2
],
[
46,
6
],
[
40,
20
],
[
24,
23
],
[
47,
29
],
[
43,
32
],
[
47,
34
],
[
23,
35
],
[
44,
38
],
[
41,
38
],
[
40,
41
],
[
43,
44
],
[
46,
47
],
[
49,
50
]
] | [
"n = input()\na = sorted(list(map(int, input().split())))\nans = 0\nfor i in range(0, len(a), 2):\n ans += a[i]\nprint(ans)",
"n = input()",
"n",
"input()",
"input",
"a = sorted(list(map(int, input().split())))",
"a",
"sorted(list(map(int, input().split())))",
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"a = sorted(list(map(int, input().split())))",
"sorted(list(map(int, input().split())))",
"a",
"n = input()",
"input()",
"n"
] | n = input()
a = sorted(list(map(int, input().split())))
ans = 0
for i in range(0, len(a), 2):
ans += a[i]
print(ans) |
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
4,
18,
13,
13,
0,
13,
17,
0,
13,
17,
28,
13,
4,
13,
17,
2,
17,
13,
17,
0,
13,
18,
13,
13,
4,
13,
13,
10,
4,
13,
10,
18,
13,
10,
4,
13,
10,
17,
13
] | [
[
53,
2
],
[
47,
8
],
[
48,
21
],
[
25,
24
],
[
56,
27
],
[
31,
30
],
[
54,
36
],
[
50,
39
],
[
48,
41
],
[
30,
42
],
[
51,
45
],
[
57,
45
],
[
47,
48
],
[
50,
51
],
[
53,
54
],
[
56,
57
]
] | [
"N=int(input())\nL=list(map(int,input().split()))\nL.sort(reverse=True)\nans=0\nfor i in range(1,2*N,2):\n ans+=L[i]\nprint(ans)\n",
"N=int(input())",
"N",
"int(input())",
"int",
"input()",
"input",
"L=list(map(int,input().split()))",
"L",
"list(map(int,input().split()))",
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"ans+=L[i]",
"L[i]",
"ans",
"N=int(input())",
"int(input())",
"N",
"ans=0",
"0",
"ans"
] | N=int(input())
L=list(map(int,input().split()))
L.sort(reverse=True)
ans=0
for i in range(1,2*N,2):
ans+=L[i]
print(ans)
|
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
4,
18,
13,
13,
0,
13,
17,
28,
13,
4,
13,
2,
17,
13,
14,
2,
2,
13,
17,
17,
0,
13,
18,
13,
13,
4,
13,
13,
10,
4,
13,
10,
17,
13,
10,
4,
13,
10,
18,
13
] | [
[
48,
2
],
[
54,
8
],
[
55,
21
],
[
51,
24
],
[
28,
27
],
[
49,
32
],
[
27,
36
],
[
57,
40
],
[
55,
42
],
[
27,
43
],
[
58,
46
],
[
52,
46
],
[
48,
49
],
[
51,
52
],
[
54,
55
],
[
57,
58
]
] | [
"n=int(input())\na=list(map(int,input().split()))\na.sort()\nans = 0\nfor i in range(2*n):\n if i%2==0:\n ans += a[i]\nprint(ans)",
"n=int(input())",
"n",
"int(input())",
"int",
"input()",
"input",
"a=list(map(int,input().split()))",
"a",
"list(map(int,input().split()))",
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"a.sort()",
"a.sort",
"a",
"sort",
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"for i in range(2*n):\n if i%2==0:\n ans += a[i]",
"i",
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"2*n",
"2",
"n",
"if i%2==0:\n ans += a[i]",
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"int(input())",
"n",
"ans = 0",
"0",
"ans",
"a=list(map(int,input().split()))",
"list(map(int,input().split()))",
"a",
"ans += a[i]",
"a[i]",
"ans"
] | n=int(input())
a=list(map(int,input().split()))
a.sort()
ans = 0
for i in range(2*n):
if i%2==0:
ans += a[i]
print(ans) |
[
7,
15,
13,
13,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
15,
12,
13,
12,
13,
12,
13,
12,
13,
41,
28,
13,
4,
13,
13,
4,
4,
13,
12,
13,
23,
13,
4,
18,
13,
13,
2,
17,
17,
0,
13,
4,
13,
17,
0,
13,
2,
2,
17,
17,
17,
15,
0,
13,
4,
13,
0,
13,
4,
13,
4,
18,
13,
13,
4,
13,
4,
13,
18,
13,
39,
17,
10,
4,
13,
10,
12,
13,
10,
12,
13,
10,
4,
13,
10,
12,
13,
10,
2,
13,
10,
12,
13,
10,
4,
13,
10,
12,
13
] | [
[
26,
25
],
[
84,
31
],
[
35,
35
],
[
86,
44
],
[
92,
49
],
[
98,
57
],
[
81,
59
],
[
77,
61
],
[
102,
63
],
[
78,
66
],
[
78,
73
],
[
77,
78
],
[
86,
87
],
[
92,
93
],
[
98,
99
]
] | [
"import sys, re\nfrom collections import deque, defaultdict, Counter\nfrom math import ceil, sqrt, hypot, factorial, pi, sin, cos, tan, asin, acos, atan, radians, degrees#, log2, log\nfrom itertools import accumulate, permutations, combinations, combinations_with_replacement, product, groupby\nfrom operator import itemgetter, mul\nfrom copy import deepcopy\nfrom string import ascii_lowercase, ascii_uppercase, digits\nfrom bisect import bisect, bisect_left, insort, insort_left\nfrom fractions import gcd\nfrom heapq import heappush, heappop\nfrom functools import reduce\nfrom decimal import Decimal\ndef input(): return sys.stdin.readline().strip()\ndef INT(): return int(input())\ndef MAP(): return map(int, input().split())\ndef LIST(): return list(map(int, input().split()))\ndef ZIP(n): return zip(*(MAP() for _ in range(n)))\nsys.setrecursionlimit(10 ** 9)\nINF = float('inf')\nmod = 10**9 + 7\nfrom decimal import *\n\nN = INT()\nL = LIST()\n\nL.sort()\n\nprint(sum(L[::2]))",
"import sys, re",
"sys",
"re",
"from collections import deque, defaultdict, Counter",
"from math import ceil, sqrt, hypot, factorial, pi, sin, cos, tan, asin, acos, atan, radians, degrees",
"from itertools import accumulate, permutations, combinations, combinations_with_replacement, product, groupby",
"from operator import itemgetter, mul",
"from copy import deepcopy",
"from string import ascii_lowercase, ascii_uppercase, digits",
"from bisect import bisect, bisect_left, insort, insort_left",
"from fractions import gcd",
"from heapq import heappush, heappop",
"from functools import reduce",
"from decimal import Decimal",
"def input(): return sys.stdin.readline().strip()",
"input",
"def INT(): return int(input())",
"INT",
"def MAP(): return map(int, input().split())",
"MAP",
"def LIST(): return list(map(int, input().split()))",
"LIST",
"MAP() for _ in range(n)",
"for _ in range(n)",
"_",
"range(n)",
"range",
"n",
"for _ in range(n)",
"MAP()",
"MAP",
"def ZIP(n): return zip(*(MAP() for _ in range(n)))",
"ZIP",
"n",
"n",
"sys.setrecursionlimit(10 ** 9)",
"sys.setrecursionlimit",
"sys",
"setrecursionlimit",
"10 ** 9",
"10",
"9",
"INF = float('inf')",
"INF",
"float('inf')",
"float",
"'inf'",
"mod = 10**9 + 7",
"mod",
"10**9 + 7",
"10**9",
"10",
"9",
"7",
"from decimal import *",
"N = INT()",
"N",
"INT()",
"INT",
"L = LIST()",
"L",
"LIST()",
"LIST",
"L.sort()",
"L.sort",
"L",
"sort",
"print(sum(L[::2]))",
"print",
"sum(L[::2])",
"sum",
"L[::2]",
"L",
"::2",
"2",
"L = LIST()",
"LIST()",
"L",
"def INT(): return int(input())",
"def INT(): return int(input())",
"INT",
"def MAP(): return map(int, input().split())",
"def MAP(): return map(int, input().split())",
"MAP",
"INF = float('inf')",
"float('inf')",
"INF",
"def input(): return sys.stdin.readline().strip()",
"def input(): return sys.stdin.readline().strip()",
"input",
"mod = 10**9 + 7",
"10**9 + 7",
"mod",
"def ZIP(n): return zip(*(MAP() for _ in range(n)))",
"def ZIP(n): return zip(*(MAP() for _ in range(n)))",
"ZIP",
"N = INT()",
"INT()",
"N",
"def LIST(): return list(map(int, input().split()))",
"def LIST(): return list(map(int, input().split()))",
"LIST"
] | import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, tan, asin, acos, atan, radians, degrees#, log2, log
from itertools import accumulate, permutations, combinations, combinations_with_replacement, product, groupby
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from bisect import bisect, bisect_left, insort, insort_left
from fractions import gcd
from heapq import heappush, heappop
from functools import reduce
from decimal import Decimal
def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
def ZIP(n): return zip(*(MAP() for _ in range(n)))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10**9 + 7
from decimal import *
N = INT()
L = LIST()
L.sort()
print(sum(L[::2]))
|
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
0,
13,
4,
13,
13,
0,
13,
17,
0,
13,
17,
28,
13,
4,
13,
17,
4,
13,
13,
17,
0,
13,
4,
13,
18,
13,
13,
18,
13,
2,
13,
17,
4,
13,
13,
10,
4,
13,
10,
4,
13,
10,
17,
13,
10,
4,
13,
10,
4,
13
] | [
[
67,
2
],
[
55,
8
],
[
64,
20
],
[
56,
23
],
[
26,
25
],
[
61,
28
],
[
32,
31
],
[
65,
37
],
[
56,
37
],
[
58,
40
],
[
65,
44
],
[
56,
44
],
[
31,
45
],
[
65,
47
],
[
56,
47
],
[
31,
49
],
[
59,
53
],
[
62,
53
],
[
55,
56
],
[
58,
59
],
[
61,
62
],
[
64,
65
],
[
67,
68
]
] | [
"a = int(input())\nb = list(map(int, input().split()))\nb = sorted(b, reverse=True)\nc = 0\nfor i in range(1, len(b), 2):\n c += min(b[i], b[i-1])\nprint(c)",
"a = int(input())",
"a",
"int(input())",
"int",
"input()",
"input",
"b = list(map(int, input().split()))",
"b",
"list(map(int, input().split()))",
"list",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"b = sorted(b, reverse=True)",
"b",
"sorted(b, reverse=True)",
"sorted",
"b",
"reverse=True",
"reverse",
"True",
"c = 0",
"c",
"0",
"for i in range(1, len(b), 2):\n c += min(b[i], b[i-1])",
"i",
"range(1, len(b), 2)",
"range",
"1",
"len(b)",
"len",
"b",
"2",
"c += min(b[i], b[i-1])",
"c",
"min(b[i], b[i-1])",
"min",
"b[i]",
"b",
"i",
"b[i-1]",
"b",
"i-1",
"i",
"1",
"print(c)",
"print",
"c",
"b = list(map(int, input().split()))",
"list(map(int, input().split()))",
"b",
"c += min(b[i], b[i-1])",
"min(b[i], b[i-1])",
"c",
"c = 0",
"0",
"c",
"b = sorted(b, reverse=True)",
"sorted(b, reverse=True)",
"b",
"a = int(input())",
"int(input())",
"a"
] | a = int(input())
b = list(map(int, input().split()))
b = sorted(b, reverse=True)
c = 0
for i in range(1, len(b), 2):
c += min(b[i], b[i-1])
print(c)
|
[
7,
15,
13,
0,
13,
18,
18,
13,
13,
13,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
4,
18,
13,
13,
0,
13,
17,
28,
13,
4,
13,
17,
2,
17,
13,
17,
0,
13,
4,
13,
18,
13,
13,
18,
13,
2,
13,
17,
4,
13,
13,
10,
4,
13,
10,
4,
13,
10,
18,
13,
10,
17,
13,
10,
4,
13
] | [
[
66,
4
],
[
63,
11
],
[
67,
15
],
[
60,
17
],
[
67,
26
],
[
61,
30
],
[
69,
33
],
[
37,
36
],
[
64,
42
],
[
72,
45
],
[
61,
49
],
[
36,
50
],
[
61,
52
],
[
36,
54
],
[
73,
58
],
[
70,
58
],
[
60,
61
],
[
63,
64
],
[
66,
67
],
[
69,
70
],
[
72,
73
]
] | [
"import sys\ninput=sys.stdin.readline\n\nN = int(input())\nL = list(map(int, input().split()))\n\nL.sort()\nans = 0\nfor i in range(0, 2*N, 2):\n ans += min(L[i],L[i+1])\nprint(ans)",
"import sys",
"sys",
"input=sys.stdin.readline",
"input",
"sys.stdin.readline",
"sys.stdin",
"sys",
"stdin",
"readline",
"N = int(input())",
"N",
"int(input())",
"int",
"input()",
"input",
"L = list(map(int, input().split()))",
"L",
"list(map(int, input().split()))",
"list",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"L.sort()",
"L.sort",
"L",
"sort",
"ans = 0",
"ans",
"0",
"for i in range(0, 2*N, 2):\n ans += min(L[i],L[i+1])",
"i",
"range(0, 2*N, 2)",
"range",
"0",
"2*N",
"2",
"N",
"2",
"ans += min(L[i],L[i+1])",
"ans",
"min(L[i],L[i+1])",
"min",
"L[i]",
"L",
"i",
"L[i+1]",
"L",
"i+1",
"i",
"1",
"print(ans)",
"print",
"ans",
"L = list(map(int, input().split()))",
"list(map(int, input().split()))",
"L",
"N = int(input())",
"int(input())",
"N",
"input=sys.stdin.readline",
"sys.stdin.readline",
"input",
"ans = 0",
"0",
"ans",
"ans += min(L[i],L[i+1])",
"min(L[i],L[i+1])",
"ans"
] | import sys
input=sys.stdin.readline
N = int(input())
L = list(map(int, input().split()))
L.sort()
ans = 0
for i in range(0, 2*N, 2):
ans += min(L[i],L[i+1])
print(ans)
|
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
0,
13,
4,
13,
13,
0,
13,
17,
13,
39,
28,
13,
4,
13,
17,
2,
17,
13,
17,
0,
13,
4,
13,
18,
13,
13,
18,
13,
2,
13,
17,
4,
13,
13,
10,
4,
13,
10,
39,
13,
10,
4,
13,
10,
4,
13,
10,
4,
13,
10,
17,
13
] | [
[
63,
2
],
[
66,
8
],
[
60,
20
],
[
67,
23
],
[
69,
25
],
[
57,
27
],
[
31,
30
],
[
64,
36
],
[
54,
39
],
[
61,
43
],
[
67,
43
],
[
30,
44
],
[
61,
46
],
[
67,
46
],
[
30,
48
],
[
55,
52
],
[
70,
52
],
[
54,
55
],
[
57,
58
],
[
60,
61
],
[
63,
64
],
[
66,
67
],
[
69,
70
]
] | [
"n = int(input())\ns = list(map(int, input().split()))\ns = sorted(s)\nc, f = 0, []\nfor i in range(0, 2*n, 2):\n c+=min(s[i], s[i+1])\n # print(min(s[i], s[i+1]))\nprint(c)",
"n = int(input())",
"n",
"int(input())",
"int",
"input()",
"input",
"s = list(map(int, input().split()))",
"s",
"list(map(int, input().split()))",
"list",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"s = sorted(s)",
"s",
"sorted(s)",
"sorted",
"s",
"c, f = 0, []",
"c",
"0",
"f",
"[]",
"for i in range(0, 2*n, 2):\n c+=min(s[i], s[i+1])\n # print(min(s[i], s[i+1]))",
"i",
"range(0, 2*n, 2)",
"range",
"0",
"2*n",
"2",
"n",
"2",
"c+=min(s[i], s[i+1])",
"c",
"min(s[i], s[i+1])",
"min",
"s[i]",
"s",
"i",
"s[i+1]",
"s",
"i+1",
"i",
"1",
"print(c)",
"print",
"c",
"c+=min(s[i], s[i+1])",
"min(s[i], s[i+1])",
"c",
"f = 0, []",
"[]",
"f",
"s = sorted(s)",
"sorted(s)",
"s",
"n = int(input())",
"int(input())",
"n",
"s = list(map(int, input().split()))",
"list(map(int, input().split()))",
"s",
"c, f = 0, []",
"0",
"c"
] | n = int(input())
s = list(map(int, input().split()))
s = sorted(s)
c, f = 0, []
for i in range(0, 2*n, 2):
c+=min(s[i], s[i+1])
# print(min(s[i], s[i+1]))
print(c) |
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
4,
18,
13,
13,
0,
13,
17,
28,
13,
18,
13,
39,
17,
0,
13,
13,
4,
13,
13,
10,
17,
13,
10,
4,
13,
10,
4,
13,
10,
13,
13
] | [
[
42,
2
],
[
45,
8
],
[
46,
21
],
[
39,
24
],
[
28,
27
],
[
46,
29
],
[
48,
33
],
[
27,
34
],
[
49,
37
],
[
40,
37
],
[
39,
40
],
[
42,
43
],
[
45,
46
],
[
27,
48
],
[
48,
49
]
] | [
"N = int(input())\nL = list(map(int, input().split()))\n\nL.sort()\n\nans = 0\nfor x in L[::2]:\n ans += x\n\nprint(ans)",
"N = int(input())",
"N",
"int(input())",
"int",
"input()",
"input",
"L = list(map(int, input().split()))",
"L",
"list(map(int, input().split()))",
"list",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"L.sort()",
"L.sort",
"L",
"sort",
"ans = 0",
"ans",
"0",
"for x in L[::2]:\n ans += x",
"x",
"L[::2]",
"L",
"::2",
"2",
"ans += x",
"ans",
"x",
"print(ans)",
"print",
"ans",
"ans = 0",
"0",
"ans",
"N = int(input())",
"int(input())",
"N",
"L = list(map(int, input().split()))",
"list(map(int, input().split()))",
"L",
"ans += x",
"x",
"ans"
] | N = int(input())
L = list(map(int, input().split()))
L.sort()
ans = 0
for x in L[::2]:
ans += x
print(ans) |
[
7,
0,
13,
4,
13,
4,
13,
41,
28,
13,
4,
18,
4,
13,
13,
4,
4,
13,
13,
0,
13,
13,
12,
13,
0,
13,
4,
13,
13,
41,
28,
13,
13,
4,
13,
13,
2,
2,
13,
17,
17,
4,
13,
0,
13,
13,
29,
4,
13,
13,
23,
13,
23,
13,
4,
13,
4,
13,
13,
13,
10,
4,
13,
10,
13,
13,
10,
12,
13
] | [
[
61,
2
],
[
10,
9
],
[
9,
18
],
[
64,
20
],
[
26,
25
],
[
53,
28
],
[
25,
35
],
[
53,
35
],
[
45,
44
],
[
44,
49
],
[
25,
49
],
[
53,
49
],
[
51,
51
],
[
53,
53
],
[
68,
57
],
[
62,
58
],
[
65,
59
],
[
61,
62
],
[
64,
65
]
] | [
"n = int(input())\nli = [int(x) for x in input().split()]\n\ndef skews(n,li):\n \n li = sorted(li)\n li = [l for i,l in enumerate(li) if i%2==0] \n return sum(li)\n\n\nprint(skews(n,li))",
"n = int(input())",
"n",
"int(input())",
"int",
"input()",
"input",
"int(x) for x in input().split()",
"for x in input().split()",
"x",
"input().split()",
"().split",
"()",
"input",
"split",
"for x in input().split()",
"int(x)",
"int",
"x",
"li = [int(x) for x in input().split()]",
"li",
"[int(x) for x in input().split()]",
"def skews(n,li):\n \n li = sorted(li)\n li = [l for i,l in enumerate(li) if i%2==0] \n return sum(li)",
"skews",
"li = sorted(li)",
"li",
"sorted(li)",
"sorted",
"li",
"l for i,l in enumerate(li) if i%2==0",
"for i,l in enumerate(li) if i%2==0",
"i",
"l",
"enumerate(li)",
"enumerate",
"li",
"i%2==0",
"i%2",
"i",
"2",
"0",
"if i%2==0",
"l",
"li = [l for i,l in enumerate(li) if i%2==0]",
"li",
"[l for i,l in enumerate(li) if i%2==0]",
"return sum(li)",
"sum(li)",
"sum",
"li",
"n",
"n",
"li",
"li",
"print(skews(n,li))",
"print",
"skews(n,li)",
"skews",
"n",
"li",
"n = int(input())",
"int(input())",
"n",
"li = [int(x) for x in input().split()]",
"[int(x) for x in input().split()]",
"li",
"def skews(n,li):\n \n li = sorted(li)\n li = [l for i,l in enumerate(li) if i%2==0] \n return sum(li)",
"def skews(n,li):\n \n li = sorted(li)\n li = [l for i,l in enumerate(li) if i%2==0] \n return sum(li)",
"skews"
] | n = int(input())
li = [int(x) for x in input().split()]
def skews(n,li):
li = sorted(li)
li = [l for i,l in enumerate(li) if i%2==0]
return sum(li)
print(skews(n,li))
|
[
7,
0,
13,
4,
13,
4,
13,
4,
13,
18,
4,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
39,
17,
10,
4,
13
] | [
[
25,
2
],
[
25,
26
]
] | [
"N=input();print(sum(sorted(list(map(int,input().split())))[::2]))",
"N=input()",
"N",
"input()",
"input",
"print(sum(sorted(list(map(int,input().split())))[::2]))",
"print",
"sum(sorted(list(map(int,input().split())))[::2])",
"sum",
"sorted(list(map(int,input().split())))[::2]",
"(list(map(int,input().split())))",
"sorted",
"list(map(int,input().split()))",
"list",
"map(int,input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"::2",
"2",
"N=input()",
"input()",
"N"
] | N=input();print(sum(sorted(list(map(int,input().split())))[::2])) |
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
17,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
4,
18,
13,
13,
0,
13,
17,
28,
13,
4,
13,
17,
2,
13,
17,
17,
0,
13,
4,
13,
18,
13,
13,
18,
13,
2,
13,
17,
4,
13,
13,
10,
4,
13,
10,
4,
13,
10,
17,
13,
10,
4,
13,
10,
17,
13
] | [
[
54,
2
],
[
66,
8
],
[
57,
11
],
[
58,
24
],
[
60,
27
],
[
31,
30
],
[
67,
35
],
[
55,
35
],
[
63,
39
],
[
58,
43
],
[
30,
44
],
[
58,
46
],
[
30,
48
],
[
64,
52
],
[
61,
52
],
[
54,
55
],
[
57,
58
],
[
60,
61
],
[
63,
64
],
[
66,
67
]
] | [
"num = int(input())\nnum *= 2\nSkewers = list(map(int, input().split()))\n \nSkewers.sort()\nval = 0\nfor i in range(0, num-1, 2):\n val += min(Skewers[i], Skewers[i + 1])\n \n \nprint(val)",
"num = int(input())",
"num",
"int(input())",
"int",
"input()",
"input",
"num *= 2",
"num",
"2",
"Skewers = list(map(int, input().split()))",
"Skewers",
"list(map(int, input().split()))",
"list",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"Skewers.sort()",
"Skewers.sort",
"Skewers",
"sort",
"val = 0",
"val",
"0",
"for i in range(0, num-1, 2):\n val += min(Skewers[i], Skewers[i + 1])\n \n ",
"i",
"range(0, num-1, 2)",
"range",
"0",
"num-1",
"num",
"1",
"2",
"val += min(Skewers[i], Skewers[i + 1])",
"val",
"min(Skewers[i], Skewers[i + 1])",
"min",
"Skewers[i]",
"Skewers",
"i",
"Skewers[i + 1]",
"Skewers",
"i + 1",
"i",
"1",
"print(val)",
"print",
"val",
"num = int(input())",
"int(input())",
"num",
"Skewers = list(map(int, input().split()))",
"list(map(int, input().split()))",
"Skewers",
"val = 0",
"0",
"val",
"val += min(Skewers[i], Skewers[i + 1])",
"min(Skewers[i], Skewers[i + 1])",
"val",
"num *= 2",
"2",
"num"
] | num = int(input())
num *= 2
Skewers = list(map(int, input().split()))
Skewers.sort()
val = 0
for i in range(0, num-1, 2):
val += min(Skewers[i], Skewers[i + 1])
print(val) |
[
7,
15,
13,
15,
13,
15,
13,
15,
13,
15,
13,
15,
13,
15,
13,
15,
13,
15,
13,
15,
15,
15,
15,
15,
15,
15,
13,
14,
4,
18,
13,
13,
17,
0,
18,
13,
13,
4,
13,
17,
17,
4,
18,
13,
13,
17,
0,
13,
4,
13,
17,
0,
13,
2,
17,
17,
0,
13,
2,
2,
17,
17,
17,
0,
13,
4,
13,
4,
18,
18,
13,
13,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
18,
18,
13,
13,
13,
13,
4,
18,
13,
13,
0,
13,
4,
13,
18,
13,
39,
17,
4,
13,
13,
10,
4,
13,
10,
2,
13,
10,
4,
13,
10,
4,
13,
10,
2,
13,
10,
4,
13
] | [
[
37,
34
],
[
120,
47
],
[
117,
52
],
[
108,
57
],
[
114,
64
],
[
34,
69
],
[
111,
74
],
[
34,
84
],
[
112,
91
],
[
105,
94
],
[
112,
98
],
[
106,
103
],
[
105,
106
],
[
108,
109
],
[
111,
112
],
[
114,
115
],
[
117,
118
],
[
120,
121
]
] | [
"import bisect\nimport heapq\nimport itertools\nimport math\nimport operator\nimport os\nimport re\nimport string\nimport sys\nfrom collections import Counter, deque, defaultdict\nfrom copy import deepcopy\nfrom decimal import Decimal\nfrom fractions import gcd\nfrom functools import lru_cache, reduce\nfrom operator import itemgetter, mul, add, xor\n\nimport numpy as np\n\nif os.getenv(\"LOCAL\"):\n sys.stdin = open(\"_in.txt\", \"r\")\n\nsys.setrecursionlimit(2147483647)\nINF = float(\"inf\")\nIINF = 10 ** 18\nMOD = 10 ** 9 + 7\n\n\n\nN = int(sys.stdin.readline())\nL = list(map(int, sys.stdin.readline().split()))\n\nL .sort()\n\na = sum(L[::2])\nprint(a)",
"import bisect",
"bisect",
"import heapq",
"heapq",
"import itertools",
"itertools",
"import math",
"math",
"import operator",
"operator",
"import os",
"os",
"import re",
"re",
"import string",
"string",
"import sys",
"sys",
"from collections import Counter, deque, defaultdict",
"from copy import deepcopy",
"from decimal import Decimal",
"from fractions import gcd",
"from functools import lru_cache, reduce",
"from operator import itemgetter, mul, add, xor",
"import numpy as np",
"numpy",
"if os.getenv(\"LOCAL\"):\n sys.stdin = open(\"_in.txt\", \"r\")",
"os.getenv(\"LOCAL\")",
"os.getenv",
"os",
"getenv",
"\"LOCAL\"",
"sys.stdin = open(\"_in.txt\", \"r\")",
"sys.stdin",
"sys",
"stdin",
"open(\"_in.txt\", \"r\")",
"open",
"\"_in.txt\"",
"\"r\"",
"sys.setrecursionlimit(2147483647)",
"sys.setrecursionlimit",
"sys",
"setrecursionlimit",
"2147483647",
"INF = float(\"inf\")",
"INF",
"float(\"inf\")",
"float",
"\"inf\"",
"IINF = 10 ** 18",
"IINF",
"10 ** 18",
"10",
"18",
"MOD = 10 ** 9 + 7",
"MOD",
"10 ** 9 + 7",
"10 ** 9",
"10",
"9",
"7",
"N = int(sys.stdin.readline())",
"N",
"int(sys.stdin.readline())",
"int",
"sys.stdin.readline()",
"sys.stdin.readline",
"sys.stdin",
"sys",
"stdin",
"readline",
"L = list(map(int, sys.stdin.readline().split()))",
"L",
"list(map(int, sys.stdin.readline().split()))",
"list",
"map(int, sys.stdin.readline().split())",
"map",
"int",
"sys.stdin.readline().split()",
"sys.stdin.readline().split",
"sys.stdin.readline()",
"sys.stdin.readline",
"sys.stdin",
"sys",
"stdin",
"readline",
"split",
"L .sort()",
"L .sort",
"L",
"sort",
"a = sum(L[::2])",
"a",
"sum(L[::2])",
"sum",
"L[::2]",
"L",
"::2",
"2",
"print(a)",
"print",
"a",
"a = sum(L[::2])",
"sum(L[::2])",
"a",
"MOD = 10 ** 9 + 7",
"10 ** 9 + 7",
"MOD",
"L = list(map(int, sys.stdin.readline().split()))",
"list(map(int, sys.stdin.readline().split()))",
"L",
"N = int(sys.stdin.readline())",
"int(sys.stdin.readline())",
"N",
"IINF = 10 ** 18",
"10 ** 18",
"IINF",
"INF = float(\"inf\")",
"float(\"inf\")",
"INF"
] | import bisect
import heapq
import itertools
import math
import operator
import os
import re
import string
import sys
from collections import Counter, deque, defaultdict
from copy import deepcopy
from decimal import Decimal
from fractions import gcd
from functools import lru_cache, reduce
from operator import itemgetter, mul, add, xor
import numpy as np
if os.getenv("LOCAL"):
sys.stdin = open("_in.txt", "r")
sys.setrecursionlimit(2147483647)
INF = float("inf")
IINF = 10 ** 18
MOD = 10 ** 9 + 7
N = int(sys.stdin.readline())
L = list(map(int, sys.stdin.readline().split()))
L .sort()
a = sum(L[::2])
print(a)
|
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
0,
13,
17,
28,
13,
4,
13,
2,
17,
13,
14,
2,
2,
13,
17,
17,
0,
13,
18,
13,
13,
4,
13,
13,
10,
17,
13,
10,
4,
13,
10,
4,
13,
10,
18,
13
] | [
[
49,
2
],
[
52,
8
],
[
46,
22
],
[
26,
25
],
[
50,
30
],
[
25,
34
],
[
55,
38
],
[
53,
40
],
[
25,
41
],
[
56,
44
],
[
47,
44
],
[
46,
47
],
[
49,
50
],
[
52,
53
],
[
55,
56
]
] | [
"n = int(input())\na = sorted(list(map(int, input().split())))\ns = 0\nfor i in range(2 * n):\n if i % 2 == 0:\n s += a[i]\nprint(s)",
"n = int(input())",
"n",
"int(input())",
"int",
"input()",
"input",
"a = sorted(list(map(int, input().split())))",
"a",
"sorted(list(map(int, input().split())))",
"sorted",
"list(map(int, input().split()))",
"list",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"s = 0",
"s",
"0",
"for i in range(2 * n):\n if i % 2 == 0:\n s += a[i]",
"i",
"range(2 * n)",
"range",
"2 * n",
"2",
"n",
"if i % 2 == 0:\n s += a[i]",
"i % 2 == 0",
"i % 2",
"i",
"2",
"0",
"s += a[i]",
"s",
"a[i]",
"a",
"i",
"print(s)",
"print",
"s",
"s = 0",
"0",
"s",
"n = int(input())",
"int(input())",
"n",
"a = sorted(list(map(int, input().split())))",
"sorted(list(map(int, input().split())))",
"a",
"s += a[i]",
"a[i]",
"s"
] | n = int(input())
a = sorted(list(map(int, input().split())))
s = 0
for i in range(2 * n):
if i % 2 == 0:
s += a[i]
print(s) |
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
0,
13,
4,
13,
18,
13,
39,
17,
4,
13,
13,
10,
4,
13,
10,
4,
13,
10,
4,
13
] | [
[
31,
2
],
[
37,
8
],
[
34,
20
],
[
38,
24
],
[
35,
29
],
[
31,
32
],
[
34,
35
],
[
37,
38
]
] | [
"N = int(input())\nL = sorted(map(int, input().split()))\n\nans = sum(L[::2])\n\nprint(ans)",
"N = int(input())",
"N",
"int(input())",
"int",
"input()",
"input",
"L = sorted(map(int, input().split()))",
"L",
"sorted(map(int, input().split()))",
"sorted",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"ans = sum(L[::2])",
"ans",
"sum(L[::2])",
"sum",
"L[::2]",
"L",
"::2",
"2",
"print(ans)",
"print",
"ans",
"N = int(input())",
"int(input())",
"N",
"ans = sum(L[::2])",
"sum(L[::2])",
"ans",
"L = sorted(map(int, input().split()))",
"sorted(map(int, input().split()))",
"L"
] | N = int(input())
L = sorted(map(int, input().split()))
ans = sum(L[::2])
print(ans) |
[
7,
12,
13,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
4,
13,
4,
13,
18,
13,
39,
17,
14,
2,
13,
17,
4,
13,
10,
12,
13
] | [
[
5,
4
],
[
11,
10
],
[
10,
26
],
[
37,
34
]
] | [
"# coding: utf-8\ndef main():\n n = int(input())\n l = sorted(map(int, input().split()))\n print(sum(l[::2]))\n\n\nif __name__ == '__main__':\n main()",
"def main():\n n = int(input())\n l = sorted(map(int, input().split()))\n print(sum(l[::2]))",
"main",
"n = int(input())",
"n",
"int(input())",
"int",
"input()",
"input",
"l = sorted(map(int, input().split()))",
"l",
"sorted(map(int, input().split()))",
"sorted",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"print(sum(l[::2]))",
"print",
"sum(l[::2])",
"sum",
"l[::2]",
"l",
"::2",
"2",
"if __name__ == '__main__':\n main()",
"__name__ == '__main__'",
"__name__",
"'__main__'",
"main()",
"main",
"def main():\n n = int(input())\n l = sorted(map(int, input().split()))\n print(sum(l[::2]))",
"def main():\n n = int(input())\n l = sorted(map(int, input().split()))\n print(sum(l[::2]))",
"main"
] | # coding: utf-8
def main():
n = int(input())
l = sorted(map(int, input().split()))
print(sum(l[::2]))
if __name__ == '__main__':
main() |
[
7,
12,
13,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
4,
18,
13,
13,
0,
13,
4,
13,
18,
13,
39,
17,
4,
13,
13,
14,
2,
13,
17,
4,
13,
10,
12,
13
] | [
[
5,
4
],
[
11,
10
],
[
10,
23
],
[
27,
26
],
[
10,
30
],
[
26,
35
],
[
44,
41
]
] | [
"\ndef main():\n num = int(input())\n data = list(map(int, input().split()))\n data.sort()\n ans = sum(data[::2])\n print(ans)\n\n\n\nif __name__ == '__main__':\n main()",
"def main():\n num = int(input())\n data = list(map(int, input().split()))\n data.sort()\n ans = sum(data[::2])\n print(ans)",
"main",
"num = int(input())",
"num",
"int(input())",
"int",
"input()",
"input",
"data = list(map(int, input().split()))",
"data",
"list(map(int, input().split()))",
"list",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"data.sort()",
"data.sort",
"data",
"sort",
"ans = sum(data[::2])",
"ans",
"sum(data[::2])",
"sum",
"data[::2]",
"data",
"::2",
"2",
"print(ans)",
"print",
"ans",
"if __name__ == '__main__':\n main()",
"__name__ == '__main__'",
"__name__",
"'__main__'",
"main()",
"main",
"def main():\n num = int(input())\n data = list(map(int, input().split()))\n data.sort()\n ans = sum(data[::2])\n print(ans)",
"def main():\n num = int(input())\n data = list(map(int, input().split()))\n data.sort()\n ans = sum(data[::2])\n print(ans)",
"main"
] |
def main():
num = int(input())
data = list(map(int, input().split()))
data.sort()
ans = sum(data[::2])
print(ans)
if __name__ == '__main__':
main()
|
[
7,
15,
13,
0,
13,
4,
13,
4,
13,
0,
13,
4,
18,
4,
13,
13,
41,
28,
13,
13,
4,
4,
13,
13,
0,
13,
13,
4,
18,
13,
13,
13,
0,
13,
17,
28,
13,
4,
13,
13,
0,
13,
4,
18,
13,
13,
13,
0,
13,
4,
18,
13,
13,
13,
0,
13,
13,
4,
13,
13,
10,
4,
13,
10,
4,
13,
10,
4,
13,
10,
17,
13,
10,
4,
13,
10,
13,
13,
10,
13,
13
] | [
[
67,
4
],
[
61,
10
],
[
19,
18
],
[
62,
18
],
[
18,
23
],
[
79,
25
],
[
80,
31
],
[
62,
31
],
[
70,
33
],
[
37,
36
],
[
68,
39
],
[
64,
41
],
[
80,
46
],
[
62,
46
],
[
73,
48
],
[
80,
53
],
[
62,
53
],
[
76,
55
],
[
65,
56
],
[
77,
59
],
[
71,
59
],
[
61,
62
],
[
64,
65
],
[
67,
68
],
[
70,
71
],
[
73,
74
],
[
65,
76
],
[
76,
77
],
[
79,
80
]
] | [
"import heapq\n\nN = int(input())\nL = input().split()\nL = [int(a) for a in L]\n\nheapq.heapify(L)\n\nsum = 0\n\nfor i in range(N):\n k1 = heapq.heappop(L)\n k2 = heapq.heappop(L)\n sum += k1\n\nprint(sum)",
"import heapq",
"heapq",
"N = int(input())",
"N",
"int(input())",
"int",
"input()",
"input",
"L = input().split()",
"L",
"input().split()",
"().split",
"()",
"input",
"split",
"int(a) for a in L",
"for a in L",
"a",
"L",
"for a in L",
"int(a)",
"int",
"a",
"L = [int(a) for a in L]",
"L",
"[int(a) for a in L]",
"heapq.heapify(L)",
"heapq.heapify",
"heapq",
"heapify",
"L",
"sum = 0",
"sum",
"0",
"for i in range(N):\n k1 = heapq.heappop(L)\n k2 = heapq.heappop(L)\n sum += k1",
"i",
"range(N)",
"range",
"N",
"k1 = heapq.heappop(L)",
"k1",
"heapq.heappop(L)",
"heapq.heappop",
"heapq",
"heappop",
"L",
"k2 = heapq.heappop(L)",
"k2",
"heapq.heappop(L)",
"heapq.heappop",
"heapq",
"heappop",
"L",
"sum += k1",
"sum",
"k1",
"print(sum)",
"print",
"sum",
"L = input().split()",
"input().split()",
"L",
"k1 = heapq.heappop(L)",
"heapq.heappop(L)",
"k1",
"N = int(input())",
"int(input())",
"N",
"sum = 0",
"0",
"sum",
"k2 = heapq.heappop(L)",
"heapq.heappop(L)",
"k2",
"sum += k1",
"k1",
"sum",
"L = [int(a) for a in L]",
"[int(a) for a in L]",
"L"
] | import heapq
N = int(input())
L = input().split()
L = [int(a) for a in L]
heapq.heapify(L)
sum = 0
for i in range(N):
k1 = heapq.heappop(L)
k2 = heapq.heappop(L)
sum += k1
print(sum)
|
[
7,
0,
13,
4,
13,
4,
13,
41,
28,
13,
4,
18,
4,
13,
13,
4,
4,
13,
13,
0,
13,
13,
4,
18,
13,
13,
0,
13,
17,
28,
13,
4,
13,
17,
2,
17,
13,
17,
0,
13,
4,
13,
18,
13,
13,
18,
13,
2,
13,
17,
4,
13,
13,
10,
4,
13,
10,
17,
13,
10,
4,
13,
10,
13,
13
] | [
[
60,
2
],
[
10,
9
],
[
9,
18
],
[
63,
20
],
[
64,
24
],
[
57,
27
],
[
31,
30
],
[
61,
36
],
[
54,
39
],
[
64,
43
],
[
30,
44
],
[
64,
46
],
[
30,
48
],
[
55,
52
],
[
58,
52
],
[
54,
55
],
[
57,
58
],
[
60,
61
],
[
63,
64
]
] | [
"n = int(input())\nli = [int(x) for x in input().split()]\nli.sort()\nans = 0\nfor i in range(0,2*n,2):\n ans += min(li[i],li[i+1])\nprint(ans)",
"n = int(input())",
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"n = int(input())",
"int(input())",
"n",
"li = [int(x) for x in input().split()]",
"[int(x) for x in input().split()]",
"li"
] | n = int(input())
li = [int(x) for x in input().split()]
li.sort()
ans = 0
for i in range(0,2*n,2):
ans += min(li[i],li[i+1])
print(ans)
|
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
4,
18,
13,
13,
0,
13,
17,
28,
13,
4,
13,
2,
4,
13,
13,
17,
17,
17,
0,
13,
4,
13,
18,
13,
13,
18,
13,
2,
13,
17,
4,
13,
13,
10,
4,
13,
10,
4,
13,
10,
4,
13,
10,
17,
13
] | [
[
59,
2
],
[
53,
8
],
[
54,
21
],
[
62,
24
],
[
28,
27
],
[
54,
33
],
[
56,
38
],
[
54,
42
],
[
27,
43
],
[
54,
45
],
[
27,
47
],
[
57,
51
],
[
63,
51
],
[
53,
54
],
[
56,
57
],
[
59,
60
],
[
62,
63
]
] | [
"a = int(input())\nb = list(map(int, input().split()))\nb.sort()\nc = 0\nfor i in range(len(b)-1, 0, -2):\n c += min(b[i], b[i-1])\nprint(c)",
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"c",
"a = int(input())",
"int(input())",
"a",
"c = 0",
"0",
"c"
] | a = int(input())
b = list(map(int, input().split()))
b.sort()
c = 0
for i in range(len(b)-1, 0, -2):
c += min(b[i], b[i-1])
print(c)
|
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
0,
13,
4,
13,
13,
0,
13,
17,
28,
13,
4,
13,
4,
13,
13,
14,
2,
2,
13,
17,
17,
4,
13,
13,
10,
4,
13,
10,
4,
13,
10,
17,
13,
10,
4,
13
] | [
[
44,
2
],
[
53,
8
],
[
47,
20
],
[
54,
23
],
[
50,
25
],
[
29,
28
],
[
48,
33
],
[
54,
33
],
[
28,
37
],
[
51,
42
],
[
44,
45
],
[
47,
48
],
[
50,
51
],
[
53,
54
]
] | [
"n=int(input())\nl=list(map(int,input().split()))\nl=sorted(l)\ns=0\nfor i in range(len(l)):\n if i%2==0:s+=l[i]\nprint(s)",
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"n",
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"int",
"input()",
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"0",
"s",
"l=list(map(int,input().split()))",
"list(map(int,input().split()))",
"l"
] | n=int(input())
l=list(map(int,input().split()))
l=sorted(l)
s=0
for i in range(len(l)):
if i%2==0:s+=l[i]
print(s) |
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
4,
18,
13,
13,
4,
13,
4,
13,
18,
13,
39,
17,
17,
10,
4,
13,
10,
4,
13
] | [
[
36,
2
],
[
33,
8
],
[
34,
21
],
[
34,
28
],
[
33,
34
],
[
36,
37
]
] | [
"N = int(input())\nL = list(map(int, input().split()))\n\nL.sort()\nprint(sum(L[0::2]))",
"N = int(input())",
"N",
"int(input())",
"int",
"input()",
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"L = list(map(int, input().split()))",
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"L",
"N = int(input())",
"int(input())",
"N"
] | N = int(input())
L = list(map(int, input().split()))
L.sort()
print(sum(L[0::2]))
|
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
0,
13,
18,
13,
39,
17,
4,
13,
4,
13,
13,
10,
4,
13,
10,
18,
13,
10,
4,
13
] | [
[
39,
2
],
[
33,
8
],
[
36,
22
],
[
34,
24
],
[
37,
31
],
[
33,
34
],
[
36,
37
],
[
39,
40
]
] | [
"n=int(input())\nl=sorted(list(map(int, input().split())))\nll=l[::2]\nprint(sum(ll))",
"n=int(input())",
"n",
"int(input())",
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"l[::2]",
"ll",
"n=int(input())",
"int(input())",
"n"
] | n=int(input())
l=sorted(list(map(int, input().split())))
ll=l[::2]
print(sum(ll)) |
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
4,
13,
13,
4,
18,
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17,
0,
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28,
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4,
13,
13,
0,
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18,
13,
13,
0,
13,
17,
4,
13,
13,
10,
4,
13,
10,
17,
13,
10,
4,
13,
10,
17,
13,
10,
17,
13,
10,
18,
13
] | [
[
50,
2
],
[
44,
8
],
[
56,
22
],
[
47,
25
],
[
29,
28
],
[
51,
31
],
[
59,
33
],
[
45,
35
],
[
57,
36
],
[
54,
36
],
[
53,
38
],
[
60,
42
],
[
48,
42
],
[
44,
45
],
[
47,
48
],
[
50,
51
],
[
53,
54
],
[
56,
57
],
[
59,
60
]
] | [
"n = int(input())\nli = sorted(list(map(int,input().split())))\n\nk=0\ncount =0\nfor i in range(n):\n count += li[k]\n k += 2\n\nprint(count)",
"n = int(input())",
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"n",
"k += 2",
"2",
"k",
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"0",
"k",
"count += li[k]",
"li[k]",
"count"
] | n = int(input())
li = sorted(list(map(int,input().split())))
k=0
count =0
for i in range(n):
count += li[k]
k += 2
print(count)
|
[
7,
0,
13,
4,
13,
4,
13,
41,
28,
13,
4,
18,
4,
13,
13,
4,
4,
13,
13,
0,
13,
13,
0,
13,
4,
13,
13,
0,
13,
17,
28,
13,
4,
13,
13,
0,
13,
18,
13,
2,
13,
17,
4,
13,
13,
10,
4,
13,
10,
13,
13,
10,
4,
13,
10,
18,
13,
10,
17,
13
] | [
[
46,
2
],
[
10,
9
],
[
9,
18
],
[
49,
20
],
[
52,
23
],
[
50,
26
],
[
58,
28
],
[
32,
31
],
[
47,
34
],
[
55,
36
],
[
53,
38
],
[
50,
38
],
[
31,
40
],
[
56,
44
],
[
59,
44
],
[
46,
47
],
[
49,
50
],
[
52,
53
],
[
55,
56
],
[
58,
59
]
] | [
"n=int(input())\nli=[int(i) for i in input().split()]\n\nli=sorted(li)\nans=0\nfor i in range(n):\n\tans+=li[i*2]\nprint(ans)",
"n=int(input())",
"n",
"int(input())",
"int",
"input()",
"input",
"int(i) for i in input().split()",
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"sorted(li)",
"li",
"ans+=li[i*2]",
"li[i*2]",
"ans",
"ans=0",
"0",
"ans"
] | n=int(input())
li=[int(i) for i in input().split()]
li=sorted(li)
ans=0
for i in range(n):
ans+=li[i*2]
print(ans) |
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
4,
18,
13,
13,
0,
13,
17,
28,
13,
4,
13,
2,
13,
17,
14,
2,
2,
13,
17,
17,
0,
13,
18,
13,
13,
4,
13,
13,
10,
4,
13,
10,
18,
13,
10,
17,
13,
10,
4,
13
] | [
[
57,
2
],
[
48,
8
],
[
49,
21
],
[
54,
24
],
[
28,
27
],
[
58,
31
],
[
27,
36
],
[
51,
40
],
[
49,
42
],
[
27,
43
],
[
52,
46
],
[
55,
46
],
[
48,
49
],
[
51,
52
],
[
54,
55
],
[
57,
58
]
] | [
"N = int(input())\nL = list(map(int, input().split()))\nL.sort()\nans = 0\nfor i in range(N*2):\n if i % 2 == 0:\n ans += L[i]\nprint(ans)",
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"N",
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"L[i]",
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"ans = 0",
"0",
"ans",
"N = int(input())",
"int(input())",
"N"
] | N = int(input())
L = list(map(int, input().split()))
L.sort()
ans = 0
for i in range(N*2):
if i % 2 == 0:
ans += L[i]
print(ans) |
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
0,
13,
17,
28,
13,
4,
13,
17,
2,
17,
13,
17,
0,
13,
4,
13,
18,
13,
13,
18,
13,
2,
13,
17,
4,
13,
13,
10,
4,
13,
10,
4,
13,
10,
4,
13,
10,
17,
13
] | [
[
52,
2
],
[
49,
8
],
[
58,
22
],
[
26,
25
],
[
53,
31
],
[
55,
34
],
[
50,
38
],
[
25,
39
],
[
50,
41
],
[
25,
43
],
[
56,
47
],
[
59,
47
],
[
49,
50
],
[
52,
53
],
[
55,
56
],
[
58,
59
]
] | [
"N = int(input())\nL = list(sorted(map(int, input().split())))\n\nans = 0\nfor i in range(0, 2 * N, 2):\n ans += min(L[i], L[i + 1])\nprint(ans)",
"N = int(input())",
"N",
"int(input())",
"int",
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"input",
"L = list(sorted(map(int, input().split())))",
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"N",
"2",
"ans += min(L[i], L[i + 1])",
"ans",
"min(L[i], L[i + 1])",
"min",
"L[i]",
"L",
"i",
"L[i + 1]",
"L",
"i + 1",
"i",
"1",
"print(ans)",
"print",
"ans",
"L = list(sorted(map(int, input().split())))",
"list(sorted(map(int, input().split())))",
"L",
"N = int(input())",
"int(input())",
"N",
"ans += min(L[i], L[i + 1])",
"min(L[i], L[i + 1])",
"ans",
"ans = 0",
"0",
"ans"
] | N = int(input())
L = list(sorted(map(int, input().split())))
ans = 0
for i in range(0, 2 * N, 2):
ans += min(L[i], L[i + 1])
print(ans)
|
[
7,
0,
13,
2,
4,
13,
4,
13,
17,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
0,
13,
4,
13,
13,
0,
13,
17,
28,
13,
4,
13,
17,
13,
17,
0,
13,
18,
13,
13,
4,
13,
13,
10,
17,
13,
10,
18,
13,
10,
4,
13,
10,
2,
13,
10,
4,
13
] | [
[
54,
2
],
[
51,
10
],
[
57,
22
],
[
52,
25
],
[
45,
27
],
[
31,
30
],
[
55,
34
],
[
48,
37
],
[
58,
39
],
[
52,
39
],
[
30,
40
],
[
49,
43
],
[
46,
43
],
[
45,
46
],
[
48,
49
],
[
51,
52
],
[
54,
55
],
[
57,
58
]
] | [
"n = int(input())*2\narr = list(map(int, input().split()))\narr = sorted(arr)\nsum = 0\nfor i in range(0,n,2):\n sum += arr[i]\nprint(sum)",
"n = int(input())*2",
"n",
"int(input())*2",
"int(input())",
"int",
"input()",
"input",
"2",
"arr = list(map(int, input().split()))",
"arr",
"list(map(int, input().split()))",
"list",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"arr = sorted(arr)",
"arr",
"sorted(arr)",
"sorted",
"arr",
"sum = 0",
"sum",
"0",
"for i in range(0,n,2):\n sum += arr[i]",
"i",
"range(0,n,2)",
"range",
"0",
"n",
"2",
"sum += arr[i]",
"sum",
"arr[i]",
"arr",
"i",
"print(sum)",
"print",
"sum",
"sum = 0",
"0",
"sum",
"sum += arr[i]",
"arr[i]",
"sum",
"arr = list(map(int, input().split()))",
"list(map(int, input().split()))",
"arr",
"n = int(input())*2",
"int(input())*2",
"n",
"arr = sorted(arr)",
"sorted(arr)",
"arr"
] | n = int(input())*2
arr = list(map(int, input().split()))
arr = sorted(arr)
sum = 0
for i in range(0,n,2):
sum += arr[i]
print(sum) |
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
4,
18,
13,
13,
0,
13,
39,
28,
13,
13,
4,
18,
13,
13,
18,
13,
13,
4,
13,
4,
13,
13,
10,
4,
13,
10,
4,
13,
10,
39,
13
] | [
[
42,
2
],
[
45,
8
],
[
46,
21
],
[
48,
24
],
[
28,
27
],
[
49,
31
],
[
46,
34
],
[
27,
35
],
[
49,
40
],
[
42,
43
],
[
45,
46
],
[
48,
49
]
] | [
"n = int(input())\nL = list(map(int, input().split()))\nL.sort()\narray_L = []\nfor m in [i * 2 for i in range(n)]:\n array_L.append(L[m])\nprint(sum(array_L))\n ",
"n = int(input())",
"n",
"int(input())",
"int",
"input()",
"input",
"L = list(map(int, input().split()))",
"L",
"list(map(int, input().split()))",
"list",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"L.sort()",
"L.sort",
"L",
"sort",
"array_L = []",
"array_L",
"[]",
"for m in [i * 2 for i in range(n)]:\n array_L.append(L[m])",
"m",
"[i * 2 for i in range(n)]",
"array_L.append(L[m])",
"array_L.append",
"array_L",
"append",
"L[m]",
"L",
"m",
"print(sum(array_L))",
"print",
"sum(array_L)",
"sum",
"array_L",
"n = int(input())",
"int(input())",
"n",
"L = list(map(int, input().split()))",
"list(map(int, input().split()))",
"L",
"array_L = []",
"[]",
"array_L"
] | n = int(input())
L = list(map(int, input().split()))
L.sort()
array_L = []
for m in [i * 2 for i in range(n)]:
array_L.append(L[m])
print(sum(array_L))
|
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
4,
18,
13,
13,
0,
13,
17,
0,
13,
17,
42,
2,
13,
4,
13,
13,
0,
13,
18,
13,
13,
0,
13,
17,
4,
13,
13,
10,
4,
13,
10,
4,
13,
10,
17,
13,
10,
17,
13,
10,
17,
13,
10,
18,
13
] | [
[
50,
2
],
[
47,
8
],
[
48,
21
],
[
53,
24
],
[
59,
27
],
[
60,
31
],
[
57,
31
],
[
48,
34
],
[
62,
36
],
[
48,
38
],
[
60,
39
],
[
57,
39
],
[
56,
41
],
[
63,
45
],
[
54,
45
],
[
47,
48
],
[
50,
51
],
[
53,
54
],
[
56,
57
],
[
59,
60
],
[
62,
63
]
] | [
"n = int(input())\nl = list(map(int, input().split() ))\nl.sort()\ncount = 0\ni = 0\nwhile i<len(l):\n\tcount+=l[i]\n\ti+=2\nprint(count)",
"n = int(input())",
"n",
"int(input())",
"int",
"input()",
"input",
"l = list(map(int, input().split() ))",
"l",
"list(map(int, input().split() ))",
"list",
"map(int, input().split() )",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"l.sort()",
"l.sort",
"l",
"sort",
"count = 0",
"count",
"0",
"i = 0",
"i",
"0",
"while i<len(l):\n\tcount+=l[i]\n\ti+=2",
"i<len(l)",
"i",
"len(l)",
"len",
"l",
"count+=l[i]",
"count",
"l[i]",
"l",
"i",
"i+=2",
"i",
"2",
"print(count)",
"print",
"count",
"l = list(map(int, input().split() ))",
"list(map(int, input().split() ))",
"l",
"n = int(input())",
"int(input())",
"n",
"count = 0",
"0",
"count",
"i+=2",
"2",
"i",
"i = 0",
"0",
"i",
"count+=l[i]",
"l[i]",
"count"
] | n = int(input())
l = list(map(int, input().split() ))
l.sort()
count = 0
i = 0
while i<len(l):
count+=l[i]
i+=2
print(count) |
[
7,
0,
13,
4,
13,
4,
13,
41,
28,
13,
4,
18,
4,
13,
13,
4,
4,
13,
13,
0,
13,
13,
4,
18,
13,
13,
0,
13,
17,
28,
13,
4,
13,
17,
2,
17,
13,
17,
0,
13,
18,
13,
13,
4,
13,
13,
10,
18,
13,
10,
17,
13,
10,
4,
13,
10,
13,
13
] | [
[
53,
2
],
[
10,
9
],
[
9,
18
],
[
56,
20
],
[
57,
24
],
[
50,
27
],
[
31,
30
],
[
54,
36
],
[
47,
39
],
[
57,
41
],
[
30,
42
],
[
48,
45
],
[
51,
45
],
[
47,
48
],
[
50,
51
],
[
53,
54
],
[
56,
57
]
] | [
"N = int(input())\nL = [int(i) for i in input().split()]\nL.sort()\n\nans = 0\nfor i in range(0, 2 * N, 2):\n ans += L[i]\n\nprint(ans)",
"N = int(input())",
"N",
"int(input())",
"int",
"input()",
"input",
"int(i) for i in input().split()",
"for i in input().split()",
"i",
"input().split()",
"().split",
"()",
"input",
"split",
"for i in input().split()",
"int(i)",
"int",
"i",
"L = [int(i) for i in input().split()]",
"L",
"[int(i) for i in input().split()]",
"L.sort()",
"L.sort",
"L",
"sort",
"ans = 0",
"ans",
"0",
"for i in range(0, 2 * N, 2):\n ans += L[i]",
"i",
"range(0, 2 * N, 2)",
"range",
"0",
"2 * N",
"2",
"N",
"2",
"ans += L[i]",
"ans",
"L[i]",
"L",
"i",
"print(ans)",
"print",
"ans",
"ans += L[i]",
"L[i]",
"ans",
"ans = 0",
"0",
"ans",
"N = int(input())",
"int(input())",
"N",
"L = [int(i) for i in input().split()]",
"[int(i) for i in input().split()]",
"L"
] | N = int(input())
L = [int(i) for i in input().split()]
L.sort()
ans = 0
for i in range(0, 2 * N, 2):
ans += L[i]
print(ans) |
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
0,
13,
4,
13,
13,
0,
13,
4,
13,
18,
13,
39,
17,
17,
4,
13,
13,
10,
4,
13,
10,
4,
13,
10,
4,
13,
10,
4,
13
] | [
[
46,
2
],
[
43,
8
],
[
37,
20
],
[
44,
23
],
[
40,
25
],
[
38,
29
],
[
41,
35
],
[
37,
38
],
[
40,
41
],
[
43,
44
],
[
46,
47
]
] | [
"N = int(input())\nL = list(map(int, input().split()))\n \nL_s = sorted(L)\nA = sum(L_s[0::2])\n \nprint(A)",
"N = int(input())",
"N",
"int(input())",
"int",
"input()",
"input",
"L = list(map(int, input().split()))",
"L",
"list(map(int, input().split()))",
"list",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"L_s = sorted(L)",
"L_s",
"sorted(L)",
"sorted",
"L",
"A = sum(L_s[0::2])",
"A",
"sum(L_s[0::2])",
"sum",
"L_s[0::2]",
"L_s",
"0::2",
"0",
"2",
"print(A)",
"print",
"A",
"L_s = sorted(L)",
"sorted(L)",
"L_s",
"A = sum(L_s[0::2])",
"sum(L_s[0::2])",
"A",
"L = list(map(int, input().split()))",
"list(map(int, input().split()))",
"L",
"N = int(input())",
"int(input())",
"N"
] | N = int(input())
L = list(map(int, input().split()))
L_s = sorted(L)
A = sum(L_s[0::2])
print(A) |
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
4,
18,
13,
13,
0,
13,
17,
0,
13,
4,
13,
18,
13,
39,
17,
17,
4,
13,
13,
10,
4,
13,
10,
4,
13,
10,
4,
13
] | [
[
45,
2
],
[
39,
8
],
[
40,
21
],
[
25,
24
],
[
42,
27
],
[
40,
31
],
[
43,
37
],
[
39,
40
],
[
42,
43
],
[
45,
46
]
] | [
"#AGC001A\nN = int(input())\nLs = list(map(int, input().split()))\n\nLs.sort(reverse=True)\nres = sum(Ls[1::2])\n\nprint(res)",
"N = int(input())",
"N",
"int(input())",
"int",
"input()",
"input",
"Ls = list(map(int, input().split()))",
"Ls",
"list(map(int, input().split()))",
"list",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"Ls.sort(reverse=True)",
"Ls.sort",
"Ls",
"sort",
"reverse=True",
"reverse",
"True",
"res = sum(Ls[1::2])",
"res",
"sum(Ls[1::2])",
"sum",
"Ls[1::2]",
"Ls",
"1::2",
"1",
"2",
"print(res)",
"print",
"res",
"Ls = list(map(int, input().split()))",
"list(map(int, input().split()))",
"Ls",
"res = sum(Ls[1::2])",
"sum(Ls[1::2])",
"res",
"N = int(input())",
"int(input())",
"N"
] | #AGC001A
N = int(input())
Ls = list(map(int, input().split()))
Ls.sort(reverse=True)
res = sum(Ls[1::2])
print(res) |
[
7,
0,
13,
4,
13,
4,
13,
0,
13,
4,
13,
4,
13,
13,
4,
18,
4,
13,
13,
4,
18,
13,
13,
41,
28,
13,
4,
13,
2,
17,
13,
2,
2,
13,
17,
17,
4,
18,
13,
13,
4,
13,
4,
13,
13,
10,
4,
13,
10,
4,
13
] | [
[
46,
2
],
[
49,
8
],
[
50,
21
],
[
26,
25
],
[
47,
30
],
[
25,
33
],
[
50,
38
],
[
25,
39
],
[
46,
47
],
[
49,
50
]
] | [
"n = int(input())\nl = list(map(int, input().split()))\nl.sort()\nprint(sum([l[i] for i in range(2*n) if i % 2 == 0]))",
"n = int(input())",
"n",
"int(input())",
"int",
"input()",
"input",
"l = list(map(int, input().split()))",
"l",
"list(map(int, input().split()))",
"list",
"map(int, input().split())",
"map",
"int",
"input().split()",
"().split",
"()",
"input",
"split",
"l.sort()",
"l.sort",
"l",
"sort",
"l[i] for i in range(2*n) if i % 2 == 0",
"for i in range(2*n) if i % 2 == 0",
"i",
"range(2*n)",
"range",
"2*n",
"2",
"n",
"i % 2 == 0",
"i % 2",
"i",
"2",
"0",
"if i % 2 == 0",
"l[i]",
"l",
"i",
"print(sum([l[i] for i in range(2*n) if i % 2 == 0]))",
"print",
"sum([l[i] for i in range(2*n) if i % 2 == 0])",
"sum",
"[l[i] for i in range(2*n) if i % 2 == 0]",
"n = int(input())",
"int(input())",
"n",
"l = list(map(int, input().split()))",
"list(map(int, input().split()))",
"l"
] | n = int(input())
l = list(map(int, input().split()))
l.sort()
print(sum([l[i] for i in range(2*n) if i % 2 == 0])) |
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