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Provide a correct Python 3 solution for this coding contest problem. We have a grid of squares with N rows and M columns. Let (i, j) denote the square at the i-th row from the top and j-th column from the left. We will choose K of the squares and put a piece on each of them. If we place the K pieces on squares (x_1, ...
instruction
0
67,040
23
134,080
"Correct Solution: ``` 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 n, m, k = [int(_) for _ in input().split()] mod = 10**9+7 #出力の制限 N = n * m 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 ...
output
1
67,040
23
134,081
Provide a correct Python 3 solution for this coding contest problem. We have a grid of squares with N rows and M columns. Let (i, j) denote the square at the i-th row from the top and j-th column from the left. We will choose K of the squares and put a piece on each of them. If we place the K pieces on squares (x_1, ...
instruction
0
67,041
23
134,082
"Correct Solution: ``` n, m, k = map(int, input().split()) mod = 10**9 + 7 # (n * m - 2)C(k - 2) # 距離xの組 - n - x + 1 # 横 n - x + 1 # 縦 m * m ans = 0 for y in range(1, n): ans += y * (n - y) * m * m % mod for x in range(1, m): ans += x * (m - x) * n * n % mod def inv(x): return pow(x, mod - 2, mod) # ...
output
1
67,041
23
134,083
Provide a correct Python 3 solution for this coding contest problem. We have a grid of squares with N rows and M columns. Let (i, j) denote the square at the i-th row from the top and j-th column from the left. We will choose K of the squares and put a piece on each of them. If we place the K pieces on squares (x_1, ...
instruction
0
67,042
23
134,084
"Correct Solution: ``` n, m, k = map(int, input().split()) mod = 10**9 + 7 cum_n = 0 t = 0 for i in range(1, n): t += i cum_n += t cum_m = 0 t = 0 for i in range(1, m): t += i cum_m += t ans = (cum_n * m**2 + cum_m * n**2) % mod def nCr(n,r,mod = 10**9+7): r = min(n-r,r) numer = denom = 1 for i i...
output
1
67,042
23
134,085
Provide a correct Python 3 solution for this coding contest problem. We have a grid of squares with N rows and M columns. Let (i, j) denote the square at the i-th row from the top and j-th column from the left. We will choose K of the squares and put a piece on each of them. If we place the K pieces on squares (x_1, ...
instruction
0
67,043
23
134,086
"Correct Solution: ``` def cmb(n, r): return fact[n] * inv_fact[r] * inv_fact[n - r] % MOD MOD = 10 ** 9 + 7 N, M, K = map(int, input().split()) fact = [1] for i in range(1, N * M - 2 + 1): fact.append(fact[-1] * i % MOD) inv_fact = [-1] * (N * M - 1) inv_fact[-1] = pow(fact[-1], MOD - 2, MOD) for i in ran...
output
1
67,043
23
134,087
Provide a correct Python 3 solution for this coding contest problem. We have a grid of squares with N rows and M columns. Let (i, j) denote the square at the i-th row from the top and j-th column from the left. We will choose K of the squares and put a piece on each of them. If we place the K pieces on squares (x_1, ...
instruction
0
67,044
23
134,088
"Correct Solution: ``` 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 N,M,k=map(int,input().split()) m=10**9+7 g1=[1,1] g2=[1,1] inverse=[0,1] for i in range(2,N*M): g1.append((g1[-1]*i)%m) inverse.append((-inverse[m%i]*(m//i))%m) g2.append((g2[-1]*inverse[-1...
output
1
67,044
23
134,089
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a grid of squares with N rows and M columns. Let (i, j) denote the square at the i-th row from the top and j-th column from the left. We will choose K of the squares and put a piece on e...
instruction
0
67,045
23
134,090
Yes
output
1
67,045
23
134,091
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a grid of squares with N rows and M columns. Let (i, j) denote the square at the i-th row from the top and j-th column from the left. We will choose K of the squares and put a piece on e...
instruction
0
67,046
23
134,092
Yes
output
1
67,046
23
134,093
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a grid of squares with N rows and M columns. Let (i, j) denote the square at the i-th row from the top and j-th column from the left. We will choose K of the squares and put a piece on e...
instruction
0
67,047
23
134,094
Yes
output
1
67,047
23
134,095
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a grid of squares with N rows and M columns. Let (i, j) denote the square at the i-th row from the top and j-th column from the left. We will choose K of the squares and put a piece on e...
instruction
0
67,048
23
134,096
Yes
output
1
67,048
23
134,097
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a grid of squares with N rows and M columns. Let (i, j) denote the square at the i-th row from the top and j-th column from the left. We will choose K of the squares and put a piece on e...
instruction
0
67,049
23
134,098
No
output
1
67,049
23
134,099
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a grid of squares with N rows and M columns. Let (i, j) denote the square at the i-th row from the top and j-th column from the left. We will choose K of the squares and put a piece on e...
instruction
0
67,050
23
134,100
No
output
1
67,050
23
134,101
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a grid of squares with N rows and M columns. Let (i, j) denote the square at the i-th row from the top and j-th column from the left. We will choose K of the squares and put a piece on e...
instruction
0
67,051
23
134,102
No
output
1
67,051
23
134,103
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have a grid of squares with N rows and M columns. Let (i, j) denote the square at the i-th row from the top and j-th column from the left. We will choose K of the squares and put a piece on e...
instruction
0
67,052
23
134,104
No
output
1
67,052
23
134,105
Provide tags and a correct Python 3 solution for this coding contest problem. One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular a mm × b mm sheet of paper (a > b). Usually the first step in making an origami is making a square piece of paper from the rectangular ...
instruction
0
67,658
23
135,316
Tags: implementation, math Correct Solution: ``` a, b = [int(i) for i in input().split()] count = 0 while a and b: if a > b: n, a = divmod(a, b) else: n, b = divmod(b, a) count += n print(count) ```
output
1
67,658
23
135,317
Provide tags and a correct Python 3 solution for this coding contest problem. One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular a mm × b mm sheet of paper (a > b). Usually the first step in making an origami is making a square piece of paper from the rectangular ...
instruction
0
67,659
23
135,318
Tags: implementation, math Correct Solution: ``` a,b = list(map(int,input().split())) ans = 0 while True: if b>a: a,b = b,a if a%b==0: ans+=a//b break else: ans+=a//b a = a%b print(ans) ```
output
1
67,659
23
135,319
Provide tags and a correct Python 3 solution for this coding contest problem. One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular a mm × b mm sheet of paper (a > b). Usually the first step in making an origami is making a square piece of paper from the rectangular ...
instruction
0
67,660
23
135,320
Tags: implementation, math Correct Solution: ``` f = lambda: input() a,b = map(int, f().split()) c = 0 while( a != b and a != 0 and b != 0): lo = min(a, b) hi = max(a, b) a = hi % lo b = lo c += int(hi / lo) print(c) ```
output
1
67,660
23
135,321
Provide tags and a correct Python 3 solution for this coding contest problem. One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular a mm × b mm sheet of paper (a > b). Usually the first step in making an origami is making a square piece of paper from the rectangular ...
instruction
0
67,661
23
135,322
Tags: implementation, math Correct Solution: ``` a,b = map(int,input().split()) k = 0 while b > 0: k += a // b a, b= b, a % b print(k) ```
output
1
67,661
23
135,323
Provide tags and a correct Python 3 solution for this coding contest problem. One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular a mm × b mm sheet of paper (a > b). Usually the first step in making an origami is making a square piece of paper from the rectangular ...
instruction
0
67,662
23
135,324
Tags: implementation, math Correct Solution: ``` a, b = map(int, input().split()) ret = 0 while 1: if a is b or b == 0: break ret += a // b a, b = max(b, a % b), min(b, a % b) print(ret) ```
output
1
67,662
23
135,325
Provide tags and a correct Python 3 solution for this coding contest problem. One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular a mm × b mm sheet of paper (a > b). Usually the first step in making an origami is making a square piece of paper from the rectangular ...
instruction
0
67,663
23
135,326
Tags: implementation, math Correct Solution: ``` #!/c/Python34/python # coding: utf-8 def main(): [a, b] = map(int, input().split()) ans = 0 while 1: if a > b: ans += a//b if a % b == 0: break a = a % b else: ans += b//a ...
output
1
67,663
23
135,327
Provide tags and a correct Python 3 solution for this coding contest problem. One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular a mm × b mm sheet of paper (a > b). Usually the first step in making an origami is making a square piece of paper from the rectangular ...
instruction
0
67,664
23
135,328
Tags: implementation, math Correct Solution: ``` x,y =map(int, input().split()) count1 = 0 while min(x,y)>0: (x,y) = (max(x,y), min(x,y)) count1 += x//y x = x%y print(count1) ```
output
1
67,664
23
135,329
Provide tags and a correct Python 3 solution for this coding contest problem. One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular a mm × b mm sheet of paper (a > b). Usually the first step in making an origami is making a square piece of paper from the rectangular ...
instruction
0
67,665
23
135,330
Tags: implementation, math Correct Solution: ``` d = [int(x) for x in input().split()] a,b = d[0], d[1] sq = 0 while a != b and a != 0 and b != 0: if a > b: x = a//b sq += x a -= x*b else: x = b//a sq += x b -= x*a if a == b: print(sq+1) else: print(s...
output
1
67,665
23
135,331
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular a mm × b mm sheet of paper (a > b). Usually the first step in making an origami is makin...
instruction
0
67,666
23
135,332
Yes
output
1
67,666
23
135,333
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular a mm × b mm sheet of paper (a > b). Usually the first step in making an origami is makin...
instruction
0
67,667
23
135,334
Yes
output
1
67,667
23
135,335
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular a mm × b mm sheet of paper (a > b). Usually the first step in making an origami is makin...
instruction
0
67,668
23
135,336
Yes
output
1
67,668
23
135,337
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular a mm × b mm sheet of paper (a > b). Usually the first step in making an origami is makin...
instruction
0
67,669
23
135,338
Yes
output
1
67,669
23
135,339
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular a mm × b mm sheet of paper (a > b). Usually the first step in making an origami is makin...
instruction
0
67,670
23
135,340
No
output
1
67,670
23
135,341
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular a mm × b mm sheet of paper (a > b). Usually the first step in making an origami is makin...
instruction
0
67,671
23
135,342
No
output
1
67,671
23
135,343
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular a mm × b mm sheet of paper (a > b). Usually the first step in making an origami is makin...
instruction
0
67,672
23
135,344
No
output
1
67,672
23
135,345
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular a mm × b mm sheet of paper (a > b). Usually the first step in making an origami is makin...
instruction
0
67,673
23
135,346
No
output
1
67,673
23
135,347
Provide tags and a correct Python 3 solution for this coding contest problem. Vanya got bored and he painted n distinct points on the plane. After that he connected all the points pairwise and saw that as a result many triangles were formed with vertices in the painted points. He asks you to count the number of the fo...
instruction
0
67,674
23
135,348
Tags: brute force, combinatorics, data structures, geometry, math, sortings Correct Solution: ``` def main(): import sys from collections import defaultdict from fractions import gcd precalc_gcd = [[gcd(i, j) for j in range(201)] for i in range(201)] tokens = [int(i) for i in sys.stdin.rea...
output
1
67,674
23
135,349
Provide tags and a correct Python 3 solution for this coding contest problem. Vanya got bored and he painted n distinct points on the plane. After that he connected all the points pairwise and saw that as a result many triangles were formed with vertices in the painted points. He asks you to count the number of the fo...
instruction
0
67,675
23
135,350
Tags: brute force, combinatorics, data structures, geometry, math, sortings Correct Solution: ``` __author__ = 'JS' n = int(input()) k = [0] * 2015 X = [0] * 2015 Y = [0] * 2015 eps = 1e-12 for i in range (n): X[i], Y[i] = map(int, input().split(" ")) ans = (n-2) * (n-1) * n // 6 sum = 0 for i in range (n): tot...
output
1
67,675
23
135,351
Provide tags and a correct Python 3 solution for this coding contest problem. Vanya got bored and he painted n distinct points on the plane. After that he connected all the points pairwise and saw that as a result many triangles were formed with vertices in the painted points. He asks you to count the number of the fo...
instruction
0
67,676
23
135,352
Tags: brute force, combinatorics, data structures, geometry, math, sortings Correct Solution: ``` from fractions import * n,s=int(input()),0 p=[tuple(map(int, input().split())) for _ in range(n)] def f(a,b): g=gcd(a,b);return a//g + 1024*1024*(b//g) for i in range(n): k,(x,y)=0,p[i] l=sorted(f(x-X, y-Y) for X,Y...
output
1
67,676
23
135,353
Provide tags and a correct Python 3 solution for this coding contest problem. Vanya got bored and he painted n distinct points on the plane. After that he connected all the points pairwise and saw that as a result many triangles were formed with vertices in the painted points. He asks you to count the number of the fo...
instruction
0
67,677
23
135,354
Tags: brute force, combinatorics, data structures, geometry, math, sortings Correct Solution: ``` def main(): import sys from collections import defaultdict from fractions import gcd normalize = [[0] * 405 for i in range(405)] for x in range(-200, 201): for y in range(-200, 201): ...
output
1
67,677
23
135,355
Provide tags and a correct Python 3 solution for this coding contest problem. Vanya got bored and he painted n distinct points on the plane. After that he connected all the points pairwise and saw that as a result many triangles were formed with vertices in the painted points. He asks you to count the number of the fo...
instruction
0
67,678
23
135,356
Tags: brute force, combinatorics, data structures, geometry, math, sortings Correct Solution: ``` def main(): import sys from collections import defaultdict from fractions import gcd normalize = [[0] * 405 for i in range(405)] for x in range(-200, 201): for y in range(-200, 201): ...
output
1
67,678
23
135,357
Provide tags and a correct Python 3 solution for this coding contest problem. Vanya got bored and he painted n distinct points on the plane. After that he connected all the points pairwise and saw that as a result many triangles were formed with vertices in the painted points. He asks you to count the number of the fo...
instruction
0
67,679
23
135,358
Tags: brute force, combinatorics, data structures, geometry, math, sortings Correct Solution: ``` n = int(input()) p = [] for _ in range(n): x, y = input().split() p.append((int(x), int(y))) k = [] from math import gcd def getk(x1, y1, x2, y2): if x1 == x2: return (1, 0) if y1 == y2: return (0, 1) ...
output
1
67,679
23
135,359
Provide tags and a correct Python 3 solution for this coding contest problem. Vanya got bored and he painted n distinct points on the plane. After that he connected all the points pairwise and saw that as a result many triangles were formed with vertices in the painted points. He asks you to count the number of the fo...
instruction
0
67,680
23
135,360
Tags: brute force, combinatorics, data structures, geometry, math, sortings Correct Solution: ``` import math n=int(input()) def nc2(n): return ((n)*(n-1))//2 points=[] ans=0 for i in range(n): points.append(list(map(int,input().split()))) for i in range(n): dct={} for j in range(i+1...
output
1
67,680
23
135,361
Provide tags and a correct Python 3 solution for this coding contest problem. Vanya got bored and he painted n distinct points on the plane. After that he connected all the points pairwise and saw that as a result many triangles were formed with vertices in the painted points. He asks you to count the number of the fo...
instruction
0
67,681
23
135,362
Tags: brute force, combinatorics, data structures, geometry, math, sortings Correct Solution: ``` from fractions import * n=int(input()) s=n*(n-1)*(n-2)//6 p=[list(map(int,input().split()))for _ in range(n)] for i in range(n): k,l=0,sorted(1e9 if p[i][1]==Y else (p[i][0]-X)/(p[i][1]-Y)for X,Y in p[:i]) for j in range...
output
1
67,681
23
135,363
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vanya got bored and he painted n distinct points on the plane. After that he connected all the points pairwise and saw that as a result many triangles were formed with vertices in the painted po...
instruction
0
67,682
23
135,364
Yes
output
1
67,682
23
135,365
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vanya got bored and he painted n distinct points on the plane. After that he connected all the points pairwise and saw that as a result many triangles were formed with vertices in the painted po...
instruction
0
67,683
23
135,366
Yes
output
1
67,683
23
135,367
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vanya got bored and he painted n distinct points on the plane. After that he connected all the points pairwise and saw that as a result many triangles were formed with vertices in the painted po...
instruction
0
67,684
23
135,368
Yes
output
1
67,684
23
135,369
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vanya got bored and he painted n distinct points on the plane. After that he connected all the points pairwise and saw that as a result many triangles were formed with vertices in the painted po...
instruction
0
67,685
23
135,370
Yes
output
1
67,685
23
135,371
Evaluate the correctness of the submitted Python 2 solution to the coding contest problem. Provide a "Yes" or "No" response. Vanya got bored and he painted n distinct points on the plane. After that he connected all the points pairwise and saw that as a result many triangles were formed with vertices in the painted po...
instruction
0
67,686
23
135,372
No
output
1
67,686
23
135,373
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vanya got bored and he painted n distinct points on the plane. After that he connected all the points pairwise and saw that as a result many triangles were formed with vertices in the painted po...
instruction
0
67,687
23
135,374
No
output
1
67,687
23
135,375
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vanya got bored and he painted n distinct points on the plane. After that he connected all the points pairwise and saw that as a result many triangles were formed with vertices in the painted po...
instruction
0
67,688
23
135,376
No
output
1
67,688
23
135,377
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vanya got bored and he painted n distinct points on the plane. After that he connected all the points pairwise and saw that as a result many triangles were formed with vertices in the painted po...
instruction
0
67,689
23
135,378
No
output
1
67,689
23
135,379
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vanya got bored and he painted n distinct points on the plane. After that he connected all the points pairwise and saw that as a result many triangles were formed with vertices in the painted po...
instruction
0
67,690
23
135,380
No
output
1
67,690
23
135,381
Provide a correct Python 3 solution for this coding contest problem. There are two rectangles. The lengths of the vertical sides of the first rectangle are A, and the lengths of the horizontal sides of the first rectangle are B. The lengths of the vertical sides of the second rectangle are C, and the lengths of the ho...
instruction
0
68,005
23
136,010
"Correct Solution: ``` [A,B,C,D] = list(map(int,input().split())) print(max(A*B,C*D)) ```
output
1
68,005
23
136,011
Provide a correct Python 3 solution for this coding contest problem. There are two rectangles. The lengths of the vertical sides of the first rectangle are A, and the lengths of the horizontal sides of the first rectangle are B. The lengths of the vertical sides of the second rectangle are C, and the lengths of the ho...
instruction
0
68,006
23
136,012
"Correct Solution: ``` a,b,c,d = map(int, input().split(" ")) print(max(a*b, c*d)) ```
output
1
68,006
23
136,013
Provide a correct Python 3 solution for this coding contest problem. There are two rectangles. The lengths of the vertical sides of the first rectangle are A, and the lengths of the horizontal sides of the first rectangle are B. The lengths of the vertical sides of the second rectangle are C, and the lengths of the ho...
instruction
0
68,007
23
136,014
"Correct Solution: ``` a,b,c,d = map(int,input().split()) aa = a * b ab = c * d print(max(aa,ab)) ```
output
1
68,007
23
136,015
Provide a correct Python 3 solution for this coding contest problem. There are two rectangles. The lengths of the vertical sides of the first rectangle are A, and the lengths of the horizontal sides of the first rectangle are B. The lengths of the vertical sides of the second rectangle are C, and the lengths of the ho...
instruction
0
68,008
23
136,016
"Correct Solution: ``` # cook your dish here a,b,c,d= map(int,input().split()) print(max([a*b,c*d])) ```
output
1
68,008
23
136,017