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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are a member of the space station engineering team, and are assigned a task in the construction process of the station. You are expected to write a computer program to complete the task. Th...
instruction
0
67,190
3
134,380
Yes
output
1
67,190
3
134,381
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A little boy Petya dreams of growing up and becoming the Head Berland Plumber. He is thinking of the problems he will have to solve in the future. Unfortunately, Petya is too inexperienced, so y...
instruction
0
67,597
3
135,194
No
output
1
67,597
3
135,195
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A little boy Petya dreams of growing up and becoming the Head Berland Plumber. He is thinking of the problems he will have to solve in the future. Unfortunately, Petya is too inexperienced, so y...
instruction
0
67,598
3
135,196
No
output
1
67,598
3
135,197
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A little boy Petya dreams of growing up and becoming the Head Berland Plumber. He is thinking of the problems he will have to solve in the future. Unfortunately, Petya is too inexperienced, so y...
instruction
0
67,599
3
135,198
No
output
1
67,599
3
135,199
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A little boy Petya dreams of growing up and becoming the Head Berland Plumber. He is thinking of the problems he will have to solve in the future. Unfortunately, Petya is too inexperienced, so y...
instruction
0
67,600
3
135,200
No
output
1
67,600
3
135,201
Provide a correct Python 3 solution for this coding contest problem. Taro attempts to tell digits to Hanako by putting straight bars on the floor. Taro wants to express each digit by making one of the forms shown in Figure 1. Since Taro may not have bars of desired lengths, Taro cannot always make forms exactly as sh...
instruction
0
68,073
3
136,146
"Correct Solution: ``` import sys readline = sys.stdin.readline write = sys.stdout.write def dot3(O, A, B): ox, oy = O; ax, ay = A; bx, by = B return (ax - ox) * (bx - ox) + (ay - oy) * (by - oy) def cross3(O, A, B): ox, oy = O; ax, ay = A; bx, by = B return (ax - ox) * (by - oy) - (bx - ox) * (ay - oy...
output
1
68,073
3
136,147
Provide a correct Python 3 solution for this coding contest problem. In 21XX, humanity finally began a plan to relocate to Mars. Selected as the first group of immigrants to Mars, you are assigned to the Administrative Center of Mars to deal with various problems that occur on Mars. The biggest problem at the moment o...
instruction
0
68,075
3
136,150
"Correct Solution: ``` import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools sys.setrecursionlimit(10**7) inf = 10**20 eps = 1.0 / 10**10 mod = 10**9+7 dd = [(-1,0),(0,1),(1,0),(0,-1)] ddn = [(-1,0),(-1,1),(0,1),(1,1),(1,0),(1,-1),(0,-1),(-1,-1)] def LI(): return [int...
output
1
68,075
3
136,151
Provide a correct Python 3 solution for this coding contest problem. In 21XX, humanity finally began a plan to relocate to Mars. Selected as the first group of immigrants to Mars, you are assigned to the Administrative Center of Mars to deal with various problems that occur on Mars. The biggest problem at the moment o...
instruction
0
68,076
3
136,152
"Correct Solution: ``` while True: N, M, s, g1, g2 = map(int, input().split()) if N == M == s == g1 == g2 == 0: break s, g1, g2 = s - 1, g1 - 1, g2 - 1 INF = 10 ** 5 D = [[INF] * N for _ in range(N)] for i in range(N): D[i][i] = 0 for _ in range(M): b1, b2, c = map(in...
output
1
68,076
3
136,153
Provide a correct Python 3 solution for this coding contest problem. In 21XX, humanity finally began a plan to relocate to Mars. Selected as the first group of immigrants to Mars, you are assigned to the Administrative Center of Mars to deal with various problems that occur on Mars. The biggest problem at the moment o...
instruction
0
68,077
3
136,154
"Correct Solution: ``` from collections import defaultdict,deque import sys,heapq,bisect,math,itertools,string,queue,copy,time sys.setrecursionlimit(10**8) INF = float('inf') mod = 10**9+7 eps = 10**-7 def inp(): return int(input()) def inpl(): return list(map(int, input().split())) def inpl_str(): return list(input()....
output
1
68,077
3
136,155
Provide a correct Python 3 solution for this coding contest problem. In 21XX, humanity finally began a plan to relocate to Mars. Selected as the first group of immigrants to Mars, you are assigned to the Administrative Center of Mars to deal with various problems that occur on Mars. The biggest problem at the moment o...
instruction
0
68,078
3
136,156
"Correct Solution: ``` from heapq import heapify, heappop, heappush from operator import add SENTINEL = 100000 while True: n, m, s, g1, g2 = map(int, input().split()) s -= 1 g1 -= 1 g2 -= 1 if not n: break pipes = [set() for _ in range(n)] rpipes = [set() for _ in range(n)] for ...
output
1
68,078
3
136,157
Provide a correct Python 3 solution for this coding contest problem. In 21XX, humanity finally began a plan to relocate to Mars. Selected as the first group of immigrants to Mars, you are assigned to the Administrative Center of Mars to deal with various problems that occur on Mars. The biggest problem at the moment o...
instruction
0
68,079
3
136,158
"Correct Solution: ``` from heapq import heappush, heappop def main(): while True: n, m, s, g1, g2 = map(int, input().split()) if n == 0: break s -= 1 g1 -= 1 g2 -= 1 INF = 10 ** 20 edges = [[] for _ in range(n)] for _ in range(m): b1, b2, c = map(int, input().split()) ...
output
1
68,079
3
136,159
Provide a correct Python 3 solution for this coding contest problem. In 21XX, humanity finally began a plan to relocate to Mars. Selected as the first group of immigrants to Mars, you are assigned to the Administrative Center of Mars to deal with various problems that occur on Mars. The biggest problem at the moment o...
instruction
0
68,080
3
136,160
"Correct Solution: ``` from heapq import heappop,heappush def dijkstra(s): d = [float("inf") for i in range(n)] d[s] = 0 q = [(0,s)] while q: dx,x = heappop(q) for c,y in v[x]: if dx+c < d[y]: d[y] = dx+c heappush(q,(d[y],y)) return d whi...
output
1
68,080
3
136,161
Provide a correct Python 3 solution for this coding contest problem. In 21XX, humanity finally began a plan to relocate to Mars. Selected as the first group of immigrants to Mars, you are assigned to the Administrative Center of Mars to deal with various problems that occur on Mars. The biggest problem at the moment o...
instruction
0
68,081
3
136,162
"Correct Solution: ``` while True: N, M, s, g1, g2 = map(int, input().split()) if N == M == s == g1 == g2 == 0: break s, g1, g2 = s - 1, g1 - 1, g2 - 1 INF = 10 ** 5 D = [[INF] * N for _ in range(N)] for i in range(N): D[i][i] = 0 for _ in range(M): b1, b2, c = map(in...
output
1
68,081
3
136,163
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In 21XX, humanity finally began a plan to relocate to Mars. Selected as the first group of immigrants to Mars, you are assigned to the Administrative Center of Mars to deal with various problems...
instruction
0
68,082
3
136,164
No
output
1
68,082
3
136,165
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In 21XX, humanity finally began a plan to relocate to Mars. Selected as the first group of immigrants to Mars, you are assigned to the Administrative Center of Mars to deal with various problems...
instruction
0
68,083
3
136,166
No
output
1
68,083
3
136,167
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In 21XX, humanity finally began a plan to relocate to Mars. Selected as the first group of immigrants to Mars, you are assigned to the Administrative Center of Mars to deal with various problems...
instruction
0
68,084
3
136,168
No
output
1
68,084
3
136,169
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In 21XX, humanity finally began a plan to relocate to Mars. Selected as the first group of immigrants to Mars, you are assigned to the Administrative Center of Mars to deal with various problems...
instruction
0
68,085
3
136,170
No
output
1
68,085
3
136,171
Provide a correct Python 3 solution for this coding contest problem. Problem Satake doesn't like being bent. For example, I don't like pencils, chopsticks, and bent-shaped houses, and I don't like taking actions such as turning right or left. By the way, Satake who lives on the XY plane is $ N $ shops $ (X_ {1}, Y_ ...
instruction
0
68,102
3
136,204
"Correct Solution: ``` from math import atan2, degrees from itertools import permutations N = int(input()) XY = [list(map(int, input().split())) for _ in range(N)] px = py = 0 ans = float("inf") for t in permutations(XY): a = 0 deg = 0 for x, y in t + ([0, 0],): d = degrees(atan2(y-py, x-px)) ...
output
1
68,102
3
136,205
Provide a correct Python 3 solution for this coding contest problem. Problem Satake doesn't like being bent. For example, I don't like pencils, chopsticks, and bent-shaped houses, and I don't like taking actions such as turning right or left. By the way, Satake who lives on the XY plane is $ N $ shops $ (X_ {1}, Y_ ...
instruction
0
68,103
3
136,206
"Correct Solution: ``` #!usr/bin/env python3 from collections import defaultdict,deque from heapq import heappush, heappop import sys import math import bisect import random def LI(): return [int(x) for x in sys.stdin.readline().split()] def I(): return int(sys.stdin.readline()) def LS():return [list(x) for x in sys.st...
output
1
68,103
3
136,207
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Amugae is in a very large round corridor. The corridor consists of two areas. The inner area is equally divided by n sectors, and the outer area is equally divided by m sectors. A wall exists be...
instruction
0
68,233
3
136,466
Yes
output
1
68,233
3
136,467
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Amugae is in a very large round corridor. The corridor consists of two areas. The inner area is equally divided by n sectors, and the outer area is equally divided by m sectors. A wall exists be...
instruction
0
68,236
3
136,472
Yes
output
1
68,236
3
136,473
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Amugae is in a very large round corridor. The corridor consists of two areas. The inner area is equally divided by n sectors, and the outer area is equally divided by m sectors. A wall exists be...
instruction
0
68,239
3
136,478
No
output
1
68,239
3
136,479
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Recently the construction of Berland collider has been completed. Collider can be represented as a long narrow tunnel that contains n particles. We associate with collider 1-dimensional coordina...
instruction
0
68,411
3
136,822
No
output
1
68,411
3
136,823
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Recently the construction of Berland collider has been completed. Collider can be represented as a long narrow tunnel that contains n particles. We associate with collider 1-dimensional coordina...
instruction
0
68,412
3
136,824
No
output
1
68,412
3
136,825
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. n ants are on a circle of length m. An ant travels one unit of distance per one unit of time. Initially, the ant number i is located at the position si and is facing in the direction di (which i...
instruction
0
68,573
3
137,146
No
output
1
68,573
3
137,147
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. n ants are on a circle of length m. An ant travels one unit of distance per one unit of time. Initially, the ant number i is located at the position si and is facing in the direction di (which i...
instruction
0
68,574
3
137,148
No
output
1
68,574
3
137,149
Provide tags and a correct Python 3 solution for this coding contest problem. Consider a [billiard table](https://en.wikipedia.org/wiki/Billiard_table) of rectangular size n × m with four pockets. Let's introduce a coordinate system with the origin at the lower left corner (see the picture). <image> There is one ba...
instruction
0
68,665
3
137,330
Tags: geometry, number theory Correct Solution: ``` #!/usr/bin/env python2 [n, m, x, y, vx, vy] = map(int, input().strip().split()) def mygcd(x, y): if x > y: d, p, q = mygcd(y, x) return d, q, p if x == 0: return y, 0, 1 m, r = divmod(y, x) d, p, q = mygcd(r, x) return d, q - p*m, p def solve(n, m, x, y, v...
output
1
68,665
3
137,331
Provide tags and a correct Python 3 solution for this coding contest problem. Consider a [billiard table](https://en.wikipedia.org/wiki/Billiard_table) of rectangular size n × m with four pockets. Let's introduce a coordinate system with the origin at the lower left corner (see the picture). <image> There is one ba...
instruction
0
68,666
3
137,332
Tags: geometry, number theory Correct Solution: ``` inp = input().split(' ') inp = [int(x) for x in inp] n, m, x, y, vx, vy = inp def mcd(a, b): ''' Función vista en clases para calcular el MCD entre 2 números a y b ''' if a == 0 and b == 0: print("ERROR") elif a == 0: return(b...
output
1
68,666
3
137,333
Provide tags and a correct Python 3 solution for this coding contest problem. Consider a [billiard table](https://en.wikipedia.org/wiki/Billiard_table) of rectangular size n × m with four pockets. Let's introduce a coordinate system with the origin at the lower left corner (see the picture). <image> There is one ba...
instruction
0
68,667
3
137,334
Tags: geometry, number theory Correct Solution: ``` from math import floor, ceil from sys import stdout def Billiard_Table(n, m, x, y, vx, vy): if n - x == m - y: #the ball falls directly into the top right hole return n, m #without bouncing from any side of the table r = ...
output
1
68,667
3
137,335
Provide tags and a correct Python 3 solution for this coding contest problem. Consider a [billiard table](https://en.wikipedia.org/wiki/Billiard_table) of rectangular size n × m with four pockets. Let's introduce a coordinate system with the origin at the lower left corner (see the picture). <image> There is one ba...
instruction
0
68,668
3
137,336
Tags: geometry, number theory Correct Solution: ``` INF = 1e19 def mod(x, m): x %= m return x+m if x < 0 else x def gcdext(a, b): r2, x2, y2 = a, 1, 0 r1, x1, y1 = b, 0, 1 while r1 > 0: q = r2 // r1 r0 = r2 % r1 x0 = x2 - q * x1 y0 = y2 - q * y1 r2, x2, y2 =...
output
1
68,668
3
137,337
Provide tags and a correct Python 3 solution for this coding contest problem. Consider a [billiard table](https://en.wikipedia.org/wiki/Billiard_table) of rectangular size n × m with four pockets. Let's introduce a coordinate system with the origin at the lower left corner (see the picture). <image> There is one ba...
instruction
0
68,669
3
137,338
Tags: geometry, number theory Correct Solution: ``` def mcd(a, b): if a == 0 and b == 0: print("ERROR") elif a == 0: return(b) elif b == 0: return(a) elif a >= b: return mcd(b, a % b) else: return mcd(a, b % a) def floor(a): return(int(a//1)) def inverso...
output
1
68,669
3
137,339
Provide tags and a correct Python 3 solution for this coding contest problem. Consider a [billiard table](https://en.wikipedia.org/wiki/Billiard_table) of rectangular size n × m with four pockets. Let's introduce a coordinate system with the origin at the lower left corner (see the picture). <image> There is one ba...
instruction
0
68,670
3
137,340
Tags: geometry, number theory Correct Solution: ``` def exgcd(a, b): if b == 0: return (a, 1, 0) g, y, x = exgcd(b, a%b) return (g, x, y-x*(a//b)) def crt(a1, m1, a2, m2): g = exgcd(m1, m2)[0] e1, e2 = a1%g, a2%g if e1 != e2: return None a1 //= g m1 //= g a2 //= g m2 //...
output
1
68,670
3
137,341
Provide tags and a correct Python 3 solution for this coding contest problem. Consider a [billiard table](https://en.wikipedia.org/wiki/Billiard_table) of rectangular size n × m with four pockets. Let's introduce a coordinate system with the origin at the lower left corner (see the picture). <image> There is one ba...
instruction
0
68,671
3
137,342
Tags: geometry, number theory Correct Solution: ``` from functools import reduce import math def bezout(a, b): if a == 0: return (0, 1) else: x, y = bezout(b % a, a) return y - (b//a) * x, x def lcm(a, b): return abs(a*b) // math.gcd(a, b) def CRT(a1, m1, a2, m2): g = math.gcd...
output
1
68,671
3
137,343
Provide tags and a correct Python 3 solution for this coding contest problem. Consider a [billiard table](https://en.wikipedia.org/wiki/Billiard_table) of rectangular size n × m with four pockets. Let's introduce a coordinate system with the origin at the lower left corner (see the picture). <image> There is one ba...
instruction
0
68,672
3
137,344
Tags: geometry, number theory Correct Solution: ``` def extended_gcd(a, b): r_last = a r = b s_last = 1 s = 0 t_last = 0 t = 1 while r: rr = r rr_last = r_last r = r_last % r r_last = rr ss = s s = s_last - rr_last // rr * s s_last = s...
output
1
68,672
3
137,345
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider a [billiard table](https://en.wikipedia.org/wiki/Billiard_table) of rectangular size n × m with four pockets. Let's introduce a coordinate system with the origin at the lower left corne...
instruction
0
68,673
3
137,346
Yes
output
1
68,673
3
137,347
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider a [billiard table](https://en.wikipedia.org/wiki/Billiard_table) of rectangular size n × m with four pockets. Let's introduce a coordinate system with the origin at the lower left corne...
instruction
0
68,674
3
137,348
Yes
output
1
68,674
3
137,349
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider a [billiard table](https://en.wikipedia.org/wiki/Billiard_table) of rectangular size n × m with four pockets. Let's introduce a coordinate system with the origin at the lower left corne...
instruction
0
68,675
3
137,350
Yes
output
1
68,675
3
137,351
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider a [billiard table](https://en.wikipedia.org/wiki/Billiard_table) of rectangular size n × m with four pockets. Let's introduce a coordinate system with the origin at the lower left corne...
instruction
0
68,676
3
137,352
Yes
output
1
68,676
3
137,353
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider a [billiard table](https://en.wikipedia.org/wiki/Billiard_table) of rectangular size n × m with four pockets. Let's introduce a coordinate system with the origin at the lower left corne...
instruction
0
68,677
3
137,354
No
output
1
68,677
3
137,355
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider a [billiard table](https://en.wikipedia.org/wiki/Billiard_table) of rectangular size n × m with four pockets. Let's introduce a coordinate system with the origin at the lower left corne...
instruction
0
68,678
3
137,356
No
output
1
68,678
3
137,357
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider a [billiard table](https://en.wikipedia.org/wiki/Billiard_table) of rectangular size n × m with four pockets. Let's introduce a coordinate system with the origin at the lower left corne...
instruction
0
68,679
3
137,358
No
output
1
68,679
3
137,359
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Consider a [billiard table](https://en.wikipedia.org/wiki/Billiard_table) of rectangular size n × m with four pockets. Let's introduce a coordinate system with the origin at the lower left corne...
instruction
0
68,680
3
137,360
No
output
1
68,680
3
137,361
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In the Ancient Kingdom of Snuke, there was a pyramid to strengthen the authority of Takahashi, the president of AtCoder Inc. The pyramid had center coordinates (C_X, C_Y) and height H. The altit...
instruction
0
68,757
3
137,514
Yes
output
1
68,757
3
137,515
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In the Ancient Kingdom of Snuke, there was a pyramid to strengthen the authority of Takahashi, the president of AtCoder Inc. The pyramid had center coordinates (C_X, C_Y) and height H. The altit...
instruction
0
68,758
3
137,516
Yes
output
1
68,758
3
137,517
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In the Ancient Kingdom of Snuke, there was a pyramid to strengthen the authority of Takahashi, the president of AtCoder Inc. The pyramid had center coordinates (C_X, C_Y) and height H. The altit...
instruction
0
68,759
3
137,518
Yes
output
1
68,759
3
137,519
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In the Ancient Kingdom of Snuke, there was a pyramid to strengthen the authority of Takahashi, the president of AtCoder Inc. The pyramid had center coordinates (C_X, C_Y) and height H. The altit...
instruction
0
68,760
3
137,520
Yes
output
1
68,760
3
137,521
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In the Ancient Kingdom of Snuke, there was a pyramid to strengthen the authority of Takahashi, the president of AtCoder Inc. The pyramid had center coordinates (C_X, C_Y) and height H. The altit...
instruction
0
68,761
3
137,522
No
output
1
68,761
3
137,523
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In the Ancient Kingdom of Snuke, there was a pyramid to strengthen the authority of Takahashi, the president of AtCoder Inc. The pyramid had center coordinates (C_X, C_Y) and height H. The altit...
instruction
0
68,762
3
137,524
No
output
1
68,762
3
137,525
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In the Ancient Kingdom of Snuke, there was a pyramid to strengthen the authority of Takahashi, the president of AtCoder Inc. The pyramid had center coordinates (C_X, C_Y) and height H. The altit...
instruction
0
68,763
3
137,526
No
output
1
68,763
3
137,527
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In the Ancient Kingdom of Snuke, there was a pyramid to strengthen the authority of Takahashi, the president of AtCoder Inc. The pyramid had center coordinates (C_X, C_Y) and height H. The altit...
instruction
0
68,764
3
137,528
No
output
1
68,764
3
137,529