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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This problem has unusual memory constraint. At evening, Igor and Zhenya the financiers became boring, so they decided to play a game. They prepared n papers with the income of some company for ...
instruction
0
10,428
19
20,856
No
output
1
10,428
19
20,857
Provide a correct Python 3 solution for this coding contest problem. We have N boxes numbered 1 to N, and M balls numbered 1 to M. Currently, Ball i is in Box A_i. You can do the following operation: * Choose a box containing two or more balls, pick up one of the balls from that box, and put it into another box. ...
instruction
0
10,545
19
21,090
"Correct Solution: ``` import sys from bisect import bisect_left from collections import defaultdict from itertools import accumulate class UnionFind: def __init__(self, n): self.table = [-1] * n def _root(self, x): stack = [] tbl = self.table while tbl[x] >= 0: s...
output
1
10,545
19
21,091
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have N boxes numbered 1 to N, and M balls numbered 1 to M. Currently, Ball i is in Box A_i. You can do the following operation: * Choose a box containing two or more balls, pick up one of t...
instruction
0
10,546
19
21,092
No
output
1
10,546
19
21,093
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have N boxes numbered 1 to N, and M balls numbered 1 to M. Currently, Ball i is in Box A_i. You can do the following operation: * Choose a box containing two or more balls, pick up one of t...
instruction
0
10,547
19
21,094
No
output
1
10,547
19
21,095
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have N boxes numbered 1 to N, and M balls numbered 1 to M. Currently, Ball i is in Box A_i. You can do the following operation: * Choose a box containing two or more balls, pick up one of t...
instruction
0
10,548
19
21,096
No
output
1
10,548
19
21,097
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have N boxes numbered 1 to N, and M balls numbered 1 to M. Currently, Ball i is in Box A_i. You can do the following operation: * Choose a box containing two or more balls, pick up one of t...
instruction
0
10,549
19
21,098
No
output
1
10,549
19
21,099
Provide tags and a correct Python 3 solution for this coding contest problem. Alice and Bob play ping-pong with simplified rules. During the game, the player serving the ball commences a play. The server strikes the ball then the receiver makes a return by hitting the ball back. Thereafter, the server and receiver mu...
instruction
0
10,974
19
21,948
Tags: constructive algorithms, games, math Correct Solution: ``` for t in range(int(input())): x,y=map(int, input().split()) print(x-1,y,end=' ') ```
output
1
10,974
19
21,949
Provide tags and a correct Python 3 solution for this coding contest problem. Alice and Bob play ping-pong with simplified rules. During the game, the player serving the ball commences a play. The server strikes the ball then the receiver makes a return by hitting the ball back. Thereafter, the server and receiver mu...
instruction
0
10,975
19
21,950
Tags: constructive algorithms, games, math Correct Solution: ``` from sys import stdin input=stdin.readline for _ in range(int(input())): a,b=map(int,input().split()) print(a-1,b) ```
output
1
10,975
19
21,951
Provide tags and a correct Python 3 solution for this coding contest problem. Alice and Bob play ping-pong with simplified rules. During the game, the player serving the ball commences a play. The server strikes the ball then the receiver makes a return by hitting the ball back. Thereafter, the server and receiver mu...
instruction
0
10,976
19
21,952
Tags: constructive algorithms, games, math Correct Solution: ``` mod = 10**9 + 7 def solve(): x, y = map(int, input().split()) print(x - 1, y) t = 1 t = int(input()) while t > 0: solve() t -= 1 ```
output
1
10,976
19
21,953
Provide tags and a correct Python 3 solution for this coding contest problem. Alice and Bob play ping-pong with simplified rules. During the game, the player serving the ball commences a play. The server strikes the ball then the receiver makes a return by hitting the ball back. Thereafter, the server and receiver mu...
instruction
0
10,977
19
21,954
Tags: constructive algorithms, games, math Correct Solution: ``` for i in range(int(input())): x,y=map(int,input().split()) print(x-1,y,end=" ") print() ```
output
1
10,977
19
21,955
Provide tags and a correct Python 3 solution for this coding contest problem. Alice and Bob play ping-pong with simplified rules. During the game, the player serving the ball commences a play. The server strikes the ball then the receiver makes a return by hitting the ball back. Thereafter, the server and receiver mu...
instruction
0
10,978
19
21,956
Tags: constructive algorithms, games, math Correct Solution: ``` t = int(input()) for i in range(t): n, m = map(int, input().split()) print(n - 1, m) ```
output
1
10,978
19
21,957
Provide tags and a correct Python 3 solution for this coding contest problem. Alice and Bob play ping-pong with simplified rules. During the game, the player serving the ball commences a play. The server strikes the ball then the receiver makes a return by hitting the ball back. Thereafter, the server and receiver mu...
instruction
0
10,979
19
21,958
Tags: constructive algorithms, games, math Correct Solution: ``` for _ in range(int(input())): x,y = map(int,input().split(' ')) if x==1: print(0,y) else: print(x-1,y) ```
output
1
10,979
19
21,959
Provide tags and a correct Python 3 solution for this coding contest problem. Alice and Bob play ping-pong with simplified rules. During the game, the player serving the ball commences a play. The server strikes the ball then the receiver makes a return by hitting the ball back. Thereafter, the server and receiver mu...
instruction
0
10,980
19
21,960
Tags: constructive algorithms, games, math Correct Solution: ``` import time,math as mt,bisect as bs,sys from sys import stdin,stdout from collections import deque from fractions import Fraction from collections import Counter from collections import OrderedDict pi=3.14159265358979323846264338327950 def II(): # to take...
output
1
10,980
19
21,961
Provide tags and a correct Python 3 solution for this coding contest problem. Alice and Bob play ping-pong with simplified rules. During the game, the player serving the ball commences a play. The server strikes the ball then the receiver makes a return by hitting the ball back. Thereafter, the server and receiver mu...
instruction
0
10,981
19
21,962
Tags: constructive algorithms, games, math Correct Solution: ``` for _ in range(int(input())): n,m=map(int,input().split()) print(n-1,m) ```
output
1
10,981
19
21,963
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alice and Bob play ping-pong with simplified rules. During the game, the player serving the ball commences a play. The server strikes the ball then the receiver makes a return by hitting the ba...
instruction
0
10,982
19
21,964
Yes
output
1
10,982
19
21,965
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alice and Bob play ping-pong with simplified rules. During the game, the player serving the ball commences a play. The server strikes the ball then the receiver makes a return by hitting the ba...
instruction
0
10,983
19
21,966
Yes
output
1
10,983
19
21,967
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alice and Bob play ping-pong with simplified rules. During the game, the player serving the ball commences a play. The server strikes the ball then the receiver makes a return by hitting the ba...
instruction
0
10,984
19
21,968
Yes
output
1
10,984
19
21,969
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alice and Bob play ping-pong with simplified rules. During the game, the player serving the ball commences a play. The server strikes the ball then the receiver makes a return by hitting the ba...
instruction
0
10,985
19
21,970
Yes
output
1
10,985
19
21,971
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alice and Bob play ping-pong with simplified rules. During the game, the player serving the ball commences a play. The server strikes the ball then the receiver makes a return by hitting the ba...
instruction
0
10,986
19
21,972
No
output
1
10,986
19
21,973
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alice and Bob play ping-pong with simplified rules. During the game, the player serving the ball commences a play. The server strikes the ball then the receiver makes a return by hitting the ba...
instruction
0
10,987
19
21,974
No
output
1
10,987
19
21,975
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alice and Bob play ping-pong with simplified rules. During the game, the player serving the ball commences a play. The server strikes the ball then the receiver makes a return by hitting the ba...
instruction
0
10,988
19
21,976
No
output
1
10,988
19
21,977
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Alice and Bob play ping-pong with simplified rules. During the game, the player serving the ball commences a play. The server strikes the ball then the receiver makes a return by hitting the ba...
instruction
0
10,989
19
21,978
No
output
1
10,989
19
21,979
Provide tags and a correct Python 3 solution for this coding contest problem. It is so boring in the summer holiday, isn't it? So Alice and Bob have invented a new game to play. The rules are as follows. First, they get a set of n distinct integers. And then they take turns to make the following moves. During each mov...
instruction
0
11,088
19
22,176
Tags: games, math, number theory Correct Solution: ``` def gcd(a, b): while a > 0: a, b = b % a, a return b n = int(input()) a = [int(x) for x in input().split()] g = a[0] m = a[0] for i in range(1, n): g = gcd(g, a[i]) m = m if m >= a[i] else a[i] if (m // g - n) % 2: print("Alice") else...
output
1
11,088
19
22,177
Provide tags and a correct Python 3 solution for this coding contest problem. It is so boring in the summer holiday, isn't it? So Alice and Bob have invented a new game to play. The rules are as follows. First, they get a set of n distinct integers. And then they take turns to make the following moves. During each mov...
instruction
0
11,089
19
22,178
Tags: games, math, number theory Correct Solution: ``` def gcd(x,y): if x<y: return gcd(y,x) else: if y==0: return x else: return gcd(y,x%y) if __name__=='__main__': inp = input() inp = input() arr = inp.split(' ') L = [] for a in arr: ...
output
1
11,089
19
22,179
Provide tags and a correct Python 3 solution for this coding contest problem. It is so boring in the summer holiday, isn't it? So Alice and Bob have invented a new game to play. The rules are as follows. First, they get a set of n distinct integers. And then they take turns to make the following moves. During each mov...
instruction
0
11,090
19
22,180
Tags: games, math, number theory Correct Solution: ``` n = int(input()) a = list(map(int, input().split())) def nod(a,b): while a * b: if a > b: a, b = b, a % b else: a, b = b % a, a return (a + b) b = a[:] ans = nod(b[0], b[1]) b = b[2:] while b: ans = nod(ans, b[0])...
output
1
11,090
19
22,181
Provide tags and a correct Python 3 solution for this coding contest problem. It is so boring in the summer holiday, isn't it? So Alice and Bob have invented a new game to play. The rules are as follows. First, they get a set of n distinct integers. And then they take turns to make the following moves. During each mov...
instruction
0
11,091
19
22,182
Tags: games, math, number theory Correct Solution: ``` import math n=int(input()) a=sorted([int(_) for _ in input().split()]) b=0 for i in a: b=math.gcd(b,i) c=(a[0]-1)//b for i in range(n-1): c+=(a[i+1]-a[i]-1)//b; if c%2==0: print("Bob") else: print("Alice") ```
output
1
11,091
19
22,183
Provide tags and a correct Python 3 solution for this coding contest problem. It is so boring in the summer holiday, isn't it? So Alice and Bob have invented a new game to play. The rules are as follows. First, they get a set of n distinct integers. And then they take turns to make the following moves. During each mov...
instruction
0
11,092
19
22,184
Tags: games, math, number theory Correct Solution: ``` from fractions import gcd n = int(input()) sez = [int(i) for i in input().split()] sez.sort() g = gcd(sez[0], sez[1]) for i in range(2, n): g = gcd(g, sez[i]) left = sez[n-1]/g - n if left%2 == 1: print("Alice") else: print("Bob") ```
output
1
11,092
19
22,185
Provide tags and a correct Python 3 solution for this coding contest problem. It is so boring in the summer holiday, isn't it? So Alice and Bob have invented a new game to play. The rules are as follows. First, they get a set of n distinct integers. And then they take turns to make the following moves. During each mov...
instruction
0
11,093
19
22,186
Tags: games, math, number theory Correct Solution: ``` from fractions import gcd n = int(input()) a = [int(x) for x in input().split()] gg = a[0] for i in range(1,n): gg = gcd(gg,a[i]) for i in range(n): a[i] //= gg if (max(a) - n) % 2 == 0: print('Bob') else: print('Alice') ```
output
1
11,093
19
22,187
Provide tags and a correct Python 3 solution for this coding contest problem. It is so boring in the summer holiday, isn't it? So Alice and Bob have invented a new game to play. The rules are as follows. First, they get a set of n distinct integers. And then they take turns to make the following moves. During each mov...
instruction
0
11,094
19
22,188
Tags: games, math, number theory Correct Solution: ``` n=int(input()) A=list(map(int,input().split())) def gcd(x,y): while y: x,y=y,x%y return x g=0 for a in A: g=gcd(g,a) u=max(A)//g-n if u%2==0: print("Bob") else: print("Alice") ```
output
1
11,094
19
22,189
Provide tags and a correct Python 3 solution for this coding contest problem. It is so boring in the summer holiday, isn't it? So Alice and Bob have invented a new game to play. The rules are as follows. First, they get a set of n distinct integers. And then they take turns to make the following moves. During each mov...
instruction
0
11,095
19
22,190
Tags: games, math, number theory Correct Solution: ``` import sys import math MAXNUM = math.inf MINNUM = -1 * math.inf ASCIILOWER = 97 ASCIIUPPER = 65 def getInt(): return int(sys.stdin.readline().rstrip()) def getInts(): return map(int, sys.stdin.readline().rstrip().split(" ")) def getString(): retu...
output
1
11,095
19
22,191
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is so boring in the summer holiday, isn't it? So Alice and Bob have invented a new game to play. The rules are as follows. First, they get a set of n distinct integers. And then they take tur...
instruction
0
11,096
19
22,192
Yes
output
1
11,096
19
22,193
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is so boring in the summer holiday, isn't it? So Alice and Bob have invented a new game to play. The rules are as follows. First, they get a set of n distinct integers. And then they take tur...
instruction
0
11,097
19
22,194
Yes
output
1
11,097
19
22,195
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is so boring in the summer holiday, isn't it? So Alice and Bob have invented a new game to play. The rules are as follows. First, they get a set of n distinct integers. And then they take tur...
instruction
0
11,098
19
22,196
Yes
output
1
11,098
19
22,197
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is so boring in the summer holiday, isn't it? So Alice and Bob have invented a new game to play. The rules are as follows. First, they get a set of n distinct integers. And then they take tur...
instruction
0
11,099
19
22,198
Yes
output
1
11,099
19
22,199
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is so boring in the summer holiday, isn't it? So Alice and Bob have invented a new game to play. The rules are as follows. First, they get a set of n distinct integers. And then they take tur...
instruction
0
11,100
19
22,200
No
output
1
11,100
19
22,201
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is so boring in the summer holiday, isn't it? So Alice and Bob have invented a new game to play. The rules are as follows. First, they get a set of n distinct integers. And then they take tur...
instruction
0
11,101
19
22,202
No
output
1
11,101
19
22,203
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is so boring in the summer holiday, isn't it? So Alice and Bob have invented a new game to play. The rules are as follows. First, they get a set of n distinct integers. And then they take tur...
instruction
0
11,102
19
22,204
No
output
1
11,102
19
22,205
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is so boring in the summer holiday, isn't it? So Alice and Bob have invented a new game to play. The rules are as follows. First, they get a set of n distinct integers. And then they take tur...
instruction
0
11,103
19
22,206
No
output
1
11,103
19
22,207
Provide a correct Python 3 solution for this coding contest problem. Taro made a sugoroku so that everyone can play at the children's association event. In order to make the game interesting, I wrote instructions such as "advance 6" and "back 5" in some of the sugoroku squares other than "Furidashi" and "Agari". Turn ...
instruction
0
11,555
19
23,110
"Correct Solution: ``` while True: m = int(input()) if not m: break n = int(input()) ds = [0] + [int(input()) for _ in range(n)] + [0] g = [[] for _ in range(n+2)] rg = [[] for _ in range(n+2)] for i in range(n+2): for j in range(min(n+1,i+1),min(n+1,i+m)+1): j =...
output
1
11,555
19
23,111
Provide a correct Python 3 solution for this coding contest problem. Taro made a sugoroku so that everyone can play at the children's association event. In order to make the game interesting, I wrote instructions such as "advance 6" and "back 5" in some of the sugoroku squares other than "Furidashi" and "Agari". Turn ...
instruction
0
11,556
19
23,112
"Correct Solution: ``` import queue while True: m = int(input()) if m == 0: break n = int(input()) d = [0]*(n+2) for i in range(1,n+1): d[i] = int(input()) visited = [False]*(n+2) visited[0] = True ok = [False]*(n+2) ok[n+1] = True rev = [[] for _ in range(n+2)] ...
output
1
11,556
19
23,113
Provide a correct Python 3 solution for this coding contest problem. Taro made a sugoroku so that everyone can play at the children's association event. In order to make the game interesting, I wrote instructions such as "advance 6" and "back 5" in some of the sugoroku squares other than "Furidashi" and "Agari". Turn ...
instruction
0
11,557
19
23,114
"Correct Solution: ``` def reachable(graph, init): if init not in graph or graph[init] is None: return set() tmp, graph[init] = graph[init], None return tmp.union(* [reachable(graph, i) for i in tmp]) def sugoroku(m, d): d = [0] + d + [0] start, goal = 0, len(d) - 1 graph_to = {...
output
1
11,557
19
23,115
Provide a correct Python 3 solution for this coding contest problem. Taro made a sugoroku so that everyone can play at the children's association event. In order to make the game interesting, I wrote instructions such as "advance 6" and "back 5" in some of the sugoroku squares other than "Furidashi" and "Agari". Turn ...
instruction
0
11,558
19
23,116
"Correct Solution: ``` def search(x, visited, edges): if visited[x]: return visited[x] = True for to in edges[x]: search(to, visited, edges) def main(): while True: m = int(input()) if m == 0: break n = int(input()) mp = [0] + [int(input()) for _ in range(n)] + [0] visited = ...
output
1
11,558
19
23,117
Provide a correct Python 3 solution for this coding contest problem. Taro made a sugoroku so that everyone can play at the children's association event. In order to make the game interesting, I wrote instructions such as "advance 6" and "back 5" in some of the sugoroku squares other than "Furidashi" and "Agari". Turn ...
instruction
0
11,559
19
23,118
"Correct Solution: ``` import sys input = sys.stdin.readline from collections import deque def bfs(adj_list, s): q = deque([s]) visited = [False]*(n+2) visited[s] = True while q: v = q.popleft() for nv in adj_list[v]: if not visited[nv]: visited...
output
1
11,559
19
23,119
Provide a correct Python 3 solution for this coding contest problem. Taro made a sugoroku so that everyone can play at the children's association event. In order to make the game interesting, I wrote instructions such as "advance 6" and "back 5" in some of the sugoroku squares other than "Furidashi" and "Agari". Turn ...
instruction
0
11,560
19
23,120
"Correct Solution: ``` from collections import deque while 1: M = int(input()) if M == 0: break N = int(input()) D = [0] + [int(input()) for i in range(N)] + [0] G = [[] for i in range(N+2)] u = [0]*(N+2) que = deque([0]) u[0] = 1 while que: v = que.popleft() ...
output
1
11,560
19
23,121
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Taro made a sugoroku so that everyone can play at the children's association event. In order to make the game interesting, I wrote instructions such as "advance 6" and "back 5" in some of the su...
instruction
0
11,561
19
23,122
No
output
1
11,561
19
23,123
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Taro made a sugoroku so that everyone can play at the children's association event. In order to make the game interesting, I wrote instructions such as "advance 6" and "back 5" in some of the su...
instruction
0
11,562
19
23,124
No
output
1
11,562
19
23,125
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Taro made a sugoroku so that everyone can play at the children's association event. In order to make the game interesting, I wrote instructions such as "advance 6" and "back 5" in some of the su...
instruction
0
11,563
19
23,126
No
output
1
11,563
19
23,127
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Taro made a sugoroku so that everyone can play at the children's association event. In order to make the game interesting, I wrote instructions such as "advance 6" and "back 5" in some of the su...
instruction
0
11,564
19
23,128
No
output
1
11,564
19
23,129
Provide tags and a correct Python 3 solution for this coding contest problem. Hyakugoku has just retired from being the resident deity of the South Black Snail Temple in order to pursue her dream of becoming a cartoonist. She spent six months in that temple just playing "Cat's Cradle" so now she wants to try a differe...
instruction
0
11,730
19
23,460
Tags: dp, probabilities, shortest paths Correct Solution: ``` h = [list(map(int, input().split())) for _ in range(10)] tp = {} def celli(x, y): if x % 2: return (9 - x) * 10 + y return (9 - x) * 10 + 9 - y for i in range(10): for j in range(10): if h[i][j]: tp[celli(i, j)] = celli(i - h[i][j], j) dp = [0]...
output
1
11,730
19
23,461
Provide tags and a correct Python 3 solution for this coding contest problem. Hyakugoku has just retired from being the resident deity of the South Black Snail Temple in order to pursue her dream of becoming a cartoonist. She spent six months in that temple just playing "Cat's Cradle" so now she wants to try a differe...
instruction
0
11,731
19
23,462
Tags: dp, probabilities, shortest paths Correct Solution: ``` X = [[int(a) for a in input().split()] for _ in range(10)] Y = [(i//10, 9-i%10 if (i//10)&1 else i%10) for i in range(100)] Z = [[i * 10 + 9 - j if i & 1 else i * 10 + j for j in range(10)] for i in range(10)] E = [0] * 100 F = [0] * 100 for i in range(1, 6)...
output
1
11,731
19
23,463