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Provide tags and a correct Python 3 solution for this coding contest problem. Let's consider a table consisting of n rows and n columns. The cell located at the intersection of i-th row and j-th column contains number i × j. The rows and columns are numbered starting from 1. You are given a positive integer x. Your t...
instruction
0
13,691
22
27,382
Tags: implementation, number theory Correct Solution: ``` n,x=input().split(" ") n=int(n) x=int(x) count = 0 for i in range(1,n+1): if x%i==0 and x/i<=n: count = count+1 print(count) ```
output
1
13,691
22
27,383
Provide tags and a correct Python 3 solution for this coding contest problem. Let's consider a table consisting of n rows and n columns. The cell located at the intersection of i-th row and j-th column contains number i × j. The rows and columns are numbered starting from 1. You are given a positive integer x. Your t...
instruction
0
13,692
22
27,384
Tags: implementation, number theory Correct Solution: ``` n, x = (int(y) for y in input().split()) count = 0 for i in range(1, n + 1): div = x / i if div == int(div) and div >= 1 and div <= n: count += 1 print(count) ```
output
1
13,692
22
27,385
Provide tags and a correct Python 3 solution for this coding contest problem. Let's consider a table consisting of n rows and n columns. The cell located at the intersection of i-th row and j-th column contains number i × j. The rows and columns are numbered starting from 1. You are given a positive integer x. Your t...
instruction
0
13,693
22
27,386
Tags: implementation, number theory Correct Solution: ``` from math import sqrt n,x=map(int,input().split()) c=0 y=sqrt(x) for i in range(1,int(y)+1): if x%i==0 and x//i<=n: if i!=y: c+=2 else: c+=1 print(c) ```
output
1
13,693
22
27,387
Provide tags and a correct Python 3 solution for this coding contest problem. Let's consider a table consisting of n rows and n columns. The cell located at the intersection of i-th row and j-th column contains number i × j. The rows and columns are numbered starting from 1. You are given a positive integer x. Your t...
instruction
0
13,694
22
27,388
Tags: implementation, number theory Correct Solution: ``` n,x=map(int,input().split()) a=0 for i in range(1,n+1): if x/i==x//i and x//i<=n: a=a+1 print(a) ```
output
1
13,694
22
27,389
Provide tags and a correct Python 3 solution for this coding contest problem. Let's consider a table consisting of n rows and n columns. The cell located at the intersection of i-th row and j-th column contains number i × j. The rows and columns are numbered starting from 1. You are given a positive integer x. Your t...
instruction
0
13,695
22
27,390
Tags: implementation, number theory Correct Solution: ``` a,b=map(int,input().split()) ans=0 for i in range(1,a+1): if b%i==0: if b//i<=a: ans+=1 print(ans) ```
output
1
13,695
22
27,391
Provide tags and a correct Python 3 solution for this coding contest problem. Let's consider a table consisting of n rows and n columns. The cell located at the intersection of i-th row and j-th column contains number i × j. The rows and columns are numbered starting from 1. You are given a positive integer x. Your t...
instruction
0
13,696
22
27,392
Tags: implementation, number theory Correct Solution: ``` n, x = map(int, input().split()) print(sum(x % i == 0 and x<=n*i for i in range(1, n + 1))) ```
output
1
13,696
22
27,393
Provide tags and a correct Python 3 solution for this coding contest problem. Mr. Funt now lives in a country with a very specific tax laws. The total income of mr. Funt during this year is equal to n (n ≥ 2) burles and the amount of tax he has to pay is calculated as the maximum divisor of n (not equal to n, of cours...
instruction
0
13,772
22
27,544
Tags: math, number theory Correct Solution: ``` import math def isPrime(n): a=math.sqrt(n) i=2 while i<=a: if n%i==0: return False i+=1 return True n=int(input()) if isPrime(n): print(1) else: if n%2==0: print(2) else: if isPrime(n-2): ...
output
1
13,772
22
27,545
Provide tags and a correct Python 3 solution for this coding contest problem. Mr. Funt now lives in a country with a very specific tax laws. The total income of mr. Funt during this year is equal to n (n ≥ 2) burles and the amount of tax he has to pay is calculated as the maximum divisor of n (not equal to n, of cours...
instruction
0
13,773
22
27,546
Tags: math, number theory Correct Solution: ``` import math,sys,bisect,heapq,os from collections import defaultdict,Counter,deque from itertools import groupby,accumulate from functools import lru_cache #sys.setrecursionlimit(200000000) int1 = lambda x: int(x) - 1 def input(): return sys.stdin.readline().rstrip('\r\n')...
output
1
13,773
22
27,547
Provide tags and a correct Python 3 solution for this coding contest problem. Mr. Funt now lives in a country with a very specific tax laws. The total income of mr. Funt during this year is equal to n (n ≥ 2) burles and the amount of tax he has to pay is calculated as the maximum divisor of n (not equal to n, of cours...
instruction
0
13,774
22
27,548
Tags: math, number theory Correct Solution: ``` def isPrime(n): if (n <= 1): return False if (n <= 3): return True if (n % 2 == 0 or n % 3 == 0): return False i = 5 while (i * i <= n): if (n % i == 0 or n % (i + 2) == 0): return False i = i + 6 ...
output
1
13,774
22
27,549
Provide tags and a correct Python 3 solution for this coding contest problem. Mr. Funt now lives in a country with a very specific tax laws. The total income of mr. Funt during this year is equal to n (n ≥ 2) burles and the amount of tax he has to pay is calculated as the maximum divisor of n (not equal to n, of cours...
instruction
0
13,775
22
27,550
Tags: math, number theory Correct Solution: ``` def isPrime(num): if num <= 1: return False if num <= 3: return True if num % 2 == 0 or num % 3 == 0: return False i = 5 while i * i <= num: if num % i == 0 or num % (i+2) == 0: return False i += 6 ...
output
1
13,775
22
27,551
Provide tags and a correct Python 3 solution for this coding contest problem. Mr. Funt now lives in a country with a very specific tax laws. The total income of mr. Funt during this year is equal to n (n ≥ 2) burles and the amount of tax he has to pay is calculated as the maximum divisor of n (not equal to n, of cours...
instruction
0
13,776
22
27,552
Tags: math, number theory Correct Solution: ``` #!/usr/bin/env python # -*- coding: utf-8 -*- # Функция вычисляет, простое ли число n>=2 # 1 считается простым def isPrime(n): if (n==2)|(n==3): return True elif (n%2==0)|(n%3==0): return False else: nsq=int(n**0.5)+1 for k in range(3,nsq,2): if n%k==0: ...
output
1
13,776
22
27,553
Provide tags and a correct Python 3 solution for this coding contest problem. Mr. Funt now lives in a country with a very specific tax laws. The total income of mr. Funt during this year is equal to n (n ≥ 2) burles and the amount of tax he has to pay is calculated as the maximum divisor of n (not equal to n, of cours...
instruction
0
13,777
22
27,554
Tags: math, number theory Correct Solution: ``` from sys import stdin, stdout from math import floor, gcd, fabs, factorial, fmod, sqrt, inf, log from collections import defaultdict as dd, deque from heapq import merge, heapify, heappop, heappush, nsmallest from bisect import bisect_left as bl, bisect_right as br, bisec...
output
1
13,777
22
27,555
Provide tags and a correct Python 3 solution for this coding contest problem. Mr. Funt now lives in a country with a very specific tax laws. The total income of mr. Funt during this year is equal to n (n ≥ 2) burles and the amount of tax he has to pay is calculated as the maximum divisor of n (not equal to n, of cours...
instruction
0
13,778
22
27,556
Tags: math, number theory Correct Solution: ``` from math import sqrt def prime(n): for d in range(3, int(sqrt(n)) + 1, 2): if n % d == 0: return 0 return 1 n = int(input()) if n == 2: print(1) elif n % 2 == 0: print(2) elif prime(n): print(1) elif prime(n - 2): print(2) ...
output
1
13,778
22
27,557
Provide tags and a correct Python 3 solution for this coding contest problem. Mr. Funt now lives in a country with a very specific tax laws. The total income of mr. Funt during this year is equal to n (n ≥ 2) burles and the amount of tax he has to pay is calculated as the maximum divisor of n (not equal to n, of cours...
instruction
0
13,779
22
27,558
Tags: math, number theory Correct Solution: ``` import os import sys from io import BytesIO, IOBase from types import GeneratorType BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): import os self.os = os self._fd = file.fileno() self.buffer = BytesI...
output
1
13,779
22
27,559
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mr. Funt now lives in a country with a very specific tax laws. The total income of mr. Funt during this year is equal to n (n ≥ 2) burles and the amount of tax he has to pay is calculated as the...
instruction
0
13,780
22
27,560
Yes
output
1
13,780
22
27,561
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mr. Funt now lives in a country with a very specific tax laws. The total income of mr. Funt during this year is equal to n (n ≥ 2) burles and the amount of tax he has to pay is calculated as the...
instruction
0
13,781
22
27,562
Yes
output
1
13,781
22
27,563
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mr. Funt now lives in a country with a very specific tax laws. The total income of mr. Funt during this year is equal to n (n ≥ 2) burles and the amount of tax he has to pay is calculated as the...
instruction
0
13,785
22
27,570
No
output
1
13,785
22
27,571
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mr. Funt now lives in a country with a very specific tax laws. The total income of mr. Funt during this year is equal to n (n ≥ 2) burles and the amount of tax he has to pay is calculated as the...
instruction
0
13,786
22
27,572
No
output
1
13,786
22
27,573
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Allen is playing Number Clicker on his phone. He starts with an integer u on the screen. Every second, he can press one of 3 buttons. 1. Turn u → u+1 \pmod{p}. 2. Turn u → u+p-1 \pmod{p}....
instruction
0
13,904
22
27,808
No
output
1
13,904
22
27,809
Provide a correct Python 3 solution for this coding contest problem. There are N integers written on a blackboard. The i-th integer is A_i, and the greatest common divisor of these integers is 1. Takahashi and Aoki will play a game using these integers. In this game, starting from Takahashi the two player alternately...
instruction
0
14,012
22
28,024
"Correct Solution: ``` N=int(input()) A=[int(i) for i in input().split()] S=sum(A) def gcd(x,y): if x<y: x,y=y,x if x%y==0: return y return gcd(y,x%y) if (S-N)%2: print("First") else: First=False while True: odd=-1 for i in range(N): if A[i]%2: if odd>=0 or A[i]==1: i...
output
1
14,012
22
28,025
Provide a correct Python 3 solution for this coding contest problem. There are N integers written on a blackboard. The i-th integer is A_i, and the greatest common divisor of these integers is 1. Takahashi and Aoki will play a game using these integers. In this game, starting from Takahashi the two player alternately...
instruction
0
14,013
22
28,026
"Correct Solution: ``` import sys def I(): return int(sys.stdin.readline().rstrip()) def LI(): return list(map(int,sys.stdin.readline().rstrip().split())) #空白あり N = I() A = LI() if N == 1: print('Second') exit() if N == 2: print('First') exit() from math import gcd r = 0 # 0:高橋君の番、1:青木君の番 while ...
output
1
14,013
22
28,027
Provide a correct Python 3 solution for this coding contest problem. There are N integers written on a blackboard. The i-th integer is A_i, and the greatest common divisor of these integers is 1. Takahashi and Aoki will play a game using these integers. In this game, starting from Takahashi the two player alternately...
instruction
0
14,014
22
28,028
"Correct Solution: ``` #!/usr/bin/env python3 # -*- coding: utf-8 -*- from fractions import gcd def readln(ch): _res = list(map(int,str(input()).split(ch))) return _res def count(a): odd, even = 0,0 for x in a: if x % 2 == 1: odd = odd + 1 else: even = even + 1 return odd,even de...
output
1
14,014
22
28,029
Provide a correct Python 3 solution for this coding contest problem. There are N integers written on a blackboard. The i-th integer is A_i, and the greatest common divisor of these integers is 1. Takahashi and Aoki will play a game using these integers. In this game, starting from Takahashi the two player alternately...
instruction
0
14,015
22
28,030
"Correct Solution: ``` #d #the niumbers of evens is important #the point is, there is no influence to odd/even if you divide them by odd numbers. #You should do simulation only in the case where there is one odd over 3 and even numbers of even numbers from fractions import gcd def count(a): odd, even = 0,0 fo...
output
1
14,015
22
28,031
Provide a correct Python 3 solution for this coding contest problem. There are N integers written on a blackboard. The i-th integer is A_i, and the greatest common divisor of these integers is 1. Takahashi and Aoki will play a game using these integers. In this game, starting from Takahashi the two player alternately...
instruction
0
14,016
22
28,032
"Correct Solution: ``` import sys readline = sys.stdin.readline from functools import reduce def gcd(a,b): while b: a, b = b, a%b return a def calc(A): N = len(A) if N == 1: return A[0]%2 == 0 K = sum(1 for a in A if a % 2 == 0) if K & 1: return True if N-K != 1: ...
output
1
14,016
22
28,033
Provide a correct Python 3 solution for this coding contest problem. There are N integers written on a blackboard. The i-th integer is A_i, and the greatest common divisor of these integers is 1. Takahashi and Aoki will play a game using these integers. In this game, starting from Takahashi the two player alternately...
instruction
0
14,017
22
28,034
"Correct Solution: ``` from fractions import gcd n = int(input()) a = list(map(int,input().split())) def gcds(ls): ret = 0 for i in ls: ret = gcd(ret,i) return ret def flg(ls): if (sum(ls)-len(ls))%2: ret = 1 else: ret = 2 return ret if n%2 == 0: if sum(a)%2: print("First") else: pri...
output
1
14,017
22
28,035
Provide a correct Python 3 solution for this coding contest problem. There are N integers written on a blackboard. The i-th integer is A_i, and the greatest common divisor of these integers is 1. Takahashi and Aoki will play a game using these integers. In this game, starting from Takahashi the two player alternately...
instruction
0
14,018
22
28,036
"Correct Solution: ``` from fractions import gcd def gcdL(L): g=L[0] for i in range(1,len(L)): if g==1: return(g) g=gcd(g,L[i]) return g def play(A,i): A[i]-=1 g=gcdL(A) return [x//g for x in A] def cnt(A): odd,even=0,0 for a in A: if a%2: ...
output
1
14,018
22
28,037
Provide a correct Python 3 solution for this coding contest problem. There are N integers written on a blackboard. The i-th integer is A_i, and the greatest common divisor of these integers is 1. Takahashi and Aoki will play a game using these integers. In this game, starting from Takahashi the two player alternately...
instruction
0
14,019
22
28,038
"Correct Solution: ``` # #    ⋀_⋀  #   (・ω・) # ./ U ∽ U\ # │* 合 *│ # │* 格 *│ # │* 祈 *│ # │* 願 *│ # │*   *│ #  ̄ # import sys sys.setrecursionlimit(10**6) input=sys.stdin.readline from math import floor,sqrt,factorial,hypot,log #log2ないyp from heapq import heappop, heappush, heappushpop from collections...
output
1
14,019
22
28,039
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N integers written on a blackboard. The i-th integer is A_i, and the greatest common divisor of these integers is 1. Takahashi and Aoki will play a game using these integers. In this ...
instruction
0
14,020
22
28,040
Yes
output
1
14,020
22
28,041
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N integers written on a blackboard. The i-th integer is A_i, and the greatest common divisor of these integers is 1. Takahashi and Aoki will play a game using these integers. In this ...
instruction
0
14,021
22
28,042
No
output
1
14,021
22
28,043
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N integers written on a blackboard. The i-th integer is A_i, and the greatest common divisor of these integers is 1. Takahashi and Aoki will play a game using these integers. In this ...
instruction
0
14,022
22
28,044
No
output
1
14,022
22
28,045
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N integers written on a blackboard. The i-th integer is A_i, and the greatest common divisor of these integers is 1. Takahashi and Aoki will play a game using these integers. In this ...
instruction
0
14,023
22
28,046
No
output
1
14,023
22
28,047
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are N integers written on a blackboard. The i-th integer is A_i, and the greatest common divisor of these integers is 1. Takahashi and Aoki will play a game using these integers. In this ...
instruction
0
14,024
22
28,048
No
output
1
14,024
22
28,049
Provide tags and a correct Python 3 solution for this coding contest problem. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each group of three a, b, c the following conditions ...
instruction
0
14,518
22
29,036
Tags: greedy, implementation Correct Solution: ``` n = int(input()) arr = list(map(int, input().split())) track = [0] * 7 for i in arr: track[i - 1] += 1 if(track[6] != 0 or track[4] != 0): print(-1) else: c1 = track[0] == (track[3] + track[5]) if(c1): _124 = track[3] track[1] -= _124 ...
output
1
14,518
22
29,037
Provide tags and a correct Python 3 solution for this coding contest problem. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each group of three a, b, c the following conditions ...
instruction
0
14,519
22
29,038
Tags: greedy, implementation Correct Solution: ``` from collections import Counter n=int(input()) arr=list(map(int,input().split())) arr.append(2) arr.append(3) arr.append(4) arr.append(6) c=Counter(arr) c[2]-=1 c[3]-=1 c[4]-=1 c[6]-=1 if c[1]!=n//3 or c[1]+c[2]+c[3]+c[4]+c[6]!=n: print(-1) else: if c[4]>c[2]: ...
output
1
14,519
22
29,039
Provide tags and a correct Python 3 solution for this coding contest problem. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each group of three a, b, c the following conditions ...
instruction
0
14,520
22
29,040
Tags: greedy, implementation Correct Solution: ``` n=int(input()) a,l,k=list(map(int,input().split())),[0]*5,n//3 for i in a: if i==5or i==7:exit(print(-1)) elif i==3:l[4]+=1 else:l[i//2]+=1 if l[2]+l[3]!=k or l[0]!=k or l[4]+abs(l[1]-l[2])!=l[3]:print(-1) else:exec("print(1,2,4);"*l[2]+"print(1,2,6);"*(l[1...
output
1
14,520
22
29,041
Provide tags and a correct Python 3 solution for this coding contest problem. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each group of three a, b, c the following conditions ...
instruction
0
14,521
22
29,042
Tags: greedy, implementation Correct Solution: ``` n=int(input()) arr=list(map(int,input().split())) arr.sort() t=0 ans=[] boo=True for i in range(0,n//3): a=[] a.append(arr[i]) if arr[i+n//3]>arr[i] and arr[i+n//3]%arr[i]==0: a.append(arr[i+n//3]) else: print(-1) boo=False ...
output
1
14,521
22
29,043
Provide tags and a correct Python 3 solution for this coding contest problem. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each group of three a, b, c the following conditions ...
instruction
0
14,522
22
29,044
Tags: greedy, implementation Correct Solution: ``` n = int( input() ) a = list( map( int, input().split() ) ) cnt = [0]*8 for i in a: cnt[i] += 1 p = [] k = 7 if cnt[5] > 0 or cnt[7] > 0 or (cnt[1]*3!=n): print(-1) exit(0) #1 3 6 #1 2 4 #1 2 6 if cnt[6] > 0 and cnt[3] > 0: for i in range( cnt[3] ...
output
1
14,522
22
29,045
Provide tags and a correct Python 3 solution for this coding contest problem. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each group of three a, b, c the following conditions ...
instruction
0
14,523
22
29,046
Tags: greedy, implementation Correct Solution: ``` # It's all about what U BELIEVE def gint(): return int(input()) def gint_arr(): return list(map(int, input().split())) def gfloat(): return float(input()) def gfloat_arr(): return list(map(float, input().split())) def pair_int(): return map(int, input().split()) ######...
output
1
14,523
22
29,047
Provide tags and a correct Python 3 solution for this coding contest problem. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each group of three a, b, c the following conditions ...
instruction
0
14,524
22
29,048
Tags: greedy, implementation Correct Solution: ``` n=int(input()) A=list(map(int,input().split())) A.sort() D=[] Diff=n//3 Bool=False for val in range(Diff): if A[val] < A[val+Diff] and A[val+Diff] < A[val+2*Diff]: if A[val+Diff]%A[val] == 0 and A[val+2*Diff]%A[val+Diff] == 0: pass else...
output
1
14,524
22
29,049
Provide tags and a correct Python 3 solution for this coding contest problem. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each group of three a, b, c the following conditions ...
instruction
0
14,525
22
29,050
Tags: greedy, implementation Correct Solution: ``` n= int(input()) #val= list(map(int,input().split())) ans=[0]*8 for i in map(int,input().split()): ans[i]+=1 grp=n//3 if ans[1]==grp and (ans[2]+ans[3])==grp and (ans[4]+ans[6])==grp and ans[3]<=ans[6]: print('1 2 4\n'*ans[4]+ '1 2 6\n'*(ans[6]-ans[3]) + '1 3 ...
output
1
14,525
22
29,051
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each g...
instruction
0
14,526
22
29,052
Yes
output
1
14,526
22
29,053
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each g...
instruction
0
14,527
22
29,054
Yes
output
1
14,527
22
29,055
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each g...
instruction
0
14,528
22
29,056
Yes
output
1
14,528
22
29,057
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each g...
instruction
0
14,529
22
29,058
Yes
output
1
14,529
22
29,059
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each g...
instruction
0
14,530
22
29,060
No
output
1
14,530
22
29,061
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each g...
instruction
0
14,531
22
29,062
No
output
1
14,531
22
29,063
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each g...
instruction
0
14,532
22
29,064
No
output
1
14,532
22
29,065
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each g...
instruction
0
14,533
22
29,066
No
output
1
14,533
22
29,067
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Two positive integers are coprime if and only if they don't have a common divisor greater than 1. Some bear doesn't want to tell Radewoosh how to solve some algorithmic problem. So, Radewoosh i...
instruction
0
14,656
22
29,312
No
output
1
14,656
22
29,313
Provide a correct Python 3 solution for this coding contest problem. Given is an integer N. Find the minimum possible positive integer k such that (1+2+\cdots+k) is a multiple of N. It can be proved that such a positive integer k always exists. Constraints * 1 \leq N \leq 10^{15} * All values in input are integers. ...
instruction
0
14,759
22
29,518
"Correct Solution: ``` from collections import Counter # 拡張ユークリッド互除法 # gcd(a,b) と ax + by = gcd(a,b) の最小整数解を返す def egcd(a, b): if a == 0: return b, 0, 1 else: g, y, x = egcd(b % a, a) return g, x - (b // a) * y, y def chineseRem(b1, m1, b2, m2): # 中国剰余定理 # x ≡ b1 (mod m1) ∧ x...
output
1
14,759
22
29,519