message
stringlengths
2
57.2k
message_type
stringclasses
2 values
message_id
int64
0
1
conversation_id
int64
61
108k
cluster
float64
22
22
__index_level_0__
int64
122
217k
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers. Decomposition into n products, given in the ...
instruction
0
25,080
22
50,160
Tags: combinatorics, math, number theory Correct Solution: ``` # Made By Mostafa_Khaled bot = True Mod = 1000000007 MAX = 33000 n = int( input() ) A = list( map( int, input().split() ) ) B = [0] * MAX bePrime = [0] * MAX; primNum = [] C = [] fac=[1] for j in range(1, MAX): fac.append( fac[-1] * j % ...
output
1
25,080
22
50,161
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers. Decomposition into n products, given in the ...
instruction
0
25,081
22
50,162
Tags: combinatorics, math, number theory Correct Solution: ``` import math import sys input=sys.stdin.readline p=(10**9)+7 pri=p fac=[1 for i in range((10**6)+1)] for i in range(2,len(fac)): fac[i]=(fac[i-1]*(i%pri))%pri def modi(x): return (pow(x,p-2,p))%p; def ncr(n,r): x=(fac[n]*((modi(fac[r])%p)*...
output
1
25,081
22
50,163
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers. Decomposition into n products, given in the ...
instruction
0
25,082
22
50,164
Tags: combinatorics, math, number theory Correct Solution: ``` # by the authority of GOD author: manhar singh sachdev # import os,sys from io import BytesIO, IOBase from collections import Counter def factor(x,cou): while not x%2: x /= 2 cou[2] += 1 for i in range(3,int(x**0.5)+1,2): ...
output
1
25,082
22
50,165
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers. Decomposition into n products, given in the ...
instruction
0
25,083
22
50,166
Tags: combinatorics, math, number theory Correct Solution: ``` Mod = 1000000007 MAX = 33000 n = int( input() ) A = list( map( int, input().split() ) ) B = [0] * MAX bePrime = [0] * MAX; primNum = [] C = [] fac=[1] for j in range(1, MAX): fac.append( fac[-1] * j % Mod ) def calc( M,...
output
1
25,083
22
50,167
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers. Decomposition into n products, given in the ...
instruction
0
25,084
22
50,168
Tags: combinatorics, math, number theory Correct Solution: ``` f=[1]*15001 fi=[1]*15001 a=1 b=1 m=10**9+7 from collections import defaultdict for i in range(1,15001): a*=i b*=pow(i,m-2,m) a%=m b%=m f[i]=a fi[i]=b d=defaultdict(int) def factorize(n): count = 0; while ((n % 2 > 0) == Fa...
output
1
25,084
22
50,169
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers. Decomposition into n products, given in the ...
instruction
0
25,085
22
50,170
Tags: combinatorics, math, number theory Correct Solution: ``` from math import factorial as f def primes(n): sieve = [True] * n for i in range(3,int(n**0.5)+1,2): if sieve[i]: sieve[i*i::2*i]=[False]*((n-i*i-1)//(2*i)+1) return [2] + [i for i in range(3,n,2) if sieve[i]] p = primes(3162...
output
1
25,085
22
50,171
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers. Decomposition into n products, given in the ...
instruction
0
25,086
22
50,172
Tags: combinatorics, math, number theory Correct Solution: ``` from math import sqrt, factorial as f from collections import Counter from operator import mul from functools import reduce def comb(n, m): o = n - m if m and o: if m < o: m, o = o, m return reduce(mul, range(m + 1, n),...
output
1
25,086
22
50,173
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers. Decomposition into n products, given in the ...
instruction
0
25,087
22
50,174
Tags: combinatorics, math, number theory Correct Solution: ``` ans={} #######find prime factors # Python3 program to print prime factors # and their powers. import math # Function to calculate all the prime # factors and count of every prime factor def factorize(n): count = 0; # count the number of # time...
output
1
25,087
22
50,175
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers...
instruction
0
25,088
22
50,176
Yes
output
1
25,088
22
50,177
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers...
instruction
0
25,089
22
50,178
Yes
output
1
25,089
22
50,179
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers...
instruction
0
25,090
22
50,180
No
output
1
25,090
22
50,181
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers...
instruction
0
25,091
22
50,182
No
output
1
25,091
22
50,183
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers...
instruction
0
25,092
22
50,184
No
output
1
25,092
22
50,185
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers...
instruction
0
25,093
22
50,186
No
output
1
25,093
22
50,187
Provide a correct Python 3 solution for this coding contest problem. You are given positive integers A and B. If A is a divisor of B, print A + B; otherwise, print B - A. Constraints * All values in input are integers. * 1 \leq A \leq B \leq 20 Input Input is given from Standard Input in the following format: A...
instruction
0
25,385
22
50,770
"Correct Solution: ``` A,B = list(map(int,input().split())) if B%A==0: print(B+A) else: print(B-A) ```
output
1
25,385
22
50,771
Provide a correct Python 3 solution for this coding contest problem. You are given positive integers A and B. If A is a divisor of B, print A + B; otherwise, print B - A. Constraints * All values in input are integers. * 1 \leq A \leq B \leq 20 Input Input is given from Standard Input in the following format: A...
instruction
0
25,386
22
50,772
"Correct Solution: ``` A,B = map(int,input().split()) [print(A+B) if B%A == 0 else print(B-A)] ```
output
1
25,386
22
50,773
Provide a correct Python 3 solution for this coding contest problem. You are given positive integers A and B. If A is a divisor of B, print A + B; otherwise, print B - A. Constraints * All values in input are integers. * 1 \leq A \leq B \leq 20 Input Input is given from Standard Input in the following format: A...
instruction
0
25,387
22
50,774
"Correct Solution: ``` A,B = map(int,input().split()) x = A + B if B % A == 0 else B - A print(x) ```
output
1
25,387
22
50,775
Provide a correct Python 3 solution for this coding contest problem. You are given positive integers A and B. If A is a divisor of B, print A + B; otherwise, print B - A. Constraints * All values in input are integers. * 1 \leq A \leq B \leq 20 Input Input is given from Standard Input in the following format: A...
instruction
0
25,388
22
50,776
"Correct Solution: ``` #A a,b = map(int,input().split()) print((a+b) if b%a==0 else (b-a)) ```
output
1
25,388
22
50,777
Provide a correct Python 3 solution for this coding contest problem. You are given positive integers A and B. If A is a divisor of B, print A + B; otherwise, print B - A. Constraints * All values in input are integers. * 1 \leq A \leq B \leq 20 Input Input is given from Standard Input in the following format: A...
instruction
0
25,389
22
50,778
"Correct Solution: ``` x, y = map(int, input().split()) if y % x == 0: print(x+y) else: print(y-x) ```
output
1
25,389
22
50,779
Provide a correct Python 3 solution for this coding contest problem. You are given positive integers A and B. If A is a divisor of B, print A + B; otherwise, print B - A. Constraints * All values in input are integers. * 1 \leq A \leq B \leq 20 Input Input is given from Standard Input in the following format: A...
instruction
0
25,390
22
50,780
"Correct Solution: ``` a, b = map(int, input().split());print(b - a if b % a else a + b) ```
output
1
25,390
22
50,781
Provide a correct Python 3 solution for this coding contest problem. You are given positive integers A and B. If A is a divisor of B, print A + B; otherwise, print B - A. Constraints * All values in input are integers. * 1 \leq A \leq B \leq 20 Input Input is given from Standard Input in the following format: A...
instruction
0
25,391
22
50,782
"Correct Solution: ``` A, B = map(int, input().split()) print(A+B) if(B % A == 0) else print(B-A) ```
output
1
25,391
22
50,783
Provide a correct Python 3 solution for this coding contest problem. You are given positive integers A and B. If A is a divisor of B, print A + B; otherwise, print B - A. Constraints * All values in input are integers. * 1 \leq A \leq B \leq 20 Input Input is given from Standard Input in the following format: A...
instruction
0
25,392
22
50,784
"Correct Solution: ``` a,b=map(int,input().split()) print(a+b if (b%a)==0 else (b-a)) ```
output
1
25,392
22
50,785
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given positive integers A and B. If A is a divisor of B, print A + B; otherwise, print B - A. Constraints * All values in input are integers. * 1 \leq A \leq B \leq 20 Input Input i...
instruction
0
25,396
22
50,792
Yes
output
1
25,396
22
50,793
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given positive integers A and B. If A is a divisor of B, print A + B; otherwise, print B - A. Constraints * All values in input are integers. * 1 \leq A \leq B \leq 20 Input Input i...
instruction
0
25,398
22
50,796
No
output
1
25,398
22
50,797
Provide a correct Python 3 solution for this coding contest problem. Let's solve the geometric problem Mr. A is still solving geometric problems today. It is important to be aware of floating point errors when solving geometric problems. Floating-point error is the error caused by the rounding that occurs when repre...
instruction
0
25,554
22
51,108
"Correct Solution: ``` import fractions a,b=map(int,input().split()) b//=fractions.gcd(a,b) a,c=2,1 while a**2<=b: if b%a==0: c*=a while b%a==0: b//=a a+=1 print(c*b) ```
output
1
25,554
22
51,109
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given integers d and p, p is prime. Also you have a mysterious device. It has memory cells, each contains an integer between 0 and p-1. Also two instructions are supported, addition an...
instruction
0
25,595
22
51,190
No
output
1
25,595
22
51,191
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an array of n integers: a_1, a_2, …, a_n. Your task is to find some non-zero integer d (-10^3 ≀ d ≀ 10^3) such that, after each number in the array is divided by d, the number of positive numbers that are presented in the array...
instruction
0
25,613
22
51,226
Tags: implementation Correct Solution: ``` from math import ceil n = int(input()) a = list(map(int,input().split()))[:n] p,n = 0,0 for i in range(len(a)): if a[i] > 0: p+=1 elif a[i] < 0: n+=1 if (p>=ceil(len(a)/2)): print(1) elif(n>=ceil(len(a)/2)): print(-1) else: print(0) ```
output
1
25,613
22
51,227
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an array of n integers: a_1, a_2, …, a_n. Your task is to find some non-zero integer d (-10^3 ≀ d ≀ 10^3) such that, after each number in the array is divided by d, the number of positive numbers that are presented in the array...
instruction
0
25,614
22
51,228
Tags: implementation Correct Solution: ``` n=int(input()) a=list(map(int,input().split())) x=0 y=0 z=a.count(0) for i in range(len(a)): if a[i]>0: x+=1 elif a[i]<0: y+=1 if x>=z+y: print(1) elif y>=x+z: print(-1) else: print(0) ```
output
1
25,614
22
51,229
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an array of n integers: a_1, a_2, …, a_n. Your task is to find some non-zero integer d (-10^3 ≀ d ≀ 10^3) such that, after each number in the array is divided by d, the number of positive numbers that are presented in the array...
instruction
0
25,615
22
51,230
Tags: implementation Correct Solution: ``` m=int(input()) a=list(map(int,input().split())) n=0 p=0 for i in a: if i>0: p=p+1 if i<0: n+=1 if p>=(m+1)//2: print (1) elif n>=(m+1)//2: print(-1) else: print(0) ```
output
1
25,615
22
51,231
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an array of n integers: a_1, a_2, …, a_n. Your task is to find some non-zero integer d (-10^3 ≀ d ≀ 10^3) such that, after each number in the array is divided by d, the number of positive numbers that are presented in the array...
instruction
0
25,616
22
51,232
Tags: implementation Correct Solution: ``` n=int(input()) a=list(map(int,input().split())) neg=0 zer=0 poz=0 for num in a: if num==0: zer+=1 elif num<0: neg+=1 else: poz+=1 ans=1 if poz<neg: poz=neg ans=-1 if poz*2>=n: print(ans) else: print(0) ```
output
1
25,616
22
51,233
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an array of n integers: a_1, a_2, …, a_n. Your task is to find some non-zero integer d (-10^3 ≀ d ≀ 10^3) such that, after each number in the array is divided by d, the number of positive numbers that are presented in the array...
instruction
0
25,617
22
51,234
Tags: implementation Correct Solution: ``` n = int(input()) arr = list(map(int,input().split())) zeros, pos, neg = 0, 0, 0 for a in arr: if a>0: pos+=1 elif a<0: neg+=1 else: zeros+=1 min_pos = (n+1)//2 if pos>=min_pos: print(1) elif neg >= min_pos: print(-1) else: print(0) ```
output
1
25,617
22
51,235
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an array of n integers: a_1, a_2, …, a_n. Your task is to find some non-zero integer d (-10^3 ≀ d ≀ 10^3) such that, after each number in the array is divided by d, the number of positive numbers that are presented in the array...
instruction
0
25,618
22
51,236
Tags: implementation Correct Solution: ``` from math import ceil def go(): n = int(input()) a = [int(i) for i in input().split(' ')] pos = neg = zero = 0 for i in range(n): if a[i] > 0: pos += 1 elif a[i] < 0: neg += 1 else: zero += 1 if p...
output
1
25,618
22
51,237
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an array of n integers: a_1, a_2, …, a_n. Your task is to find some non-zero integer d (-10^3 ≀ d ≀ 10^3) such that, after each number in the array is divided by d, the number of positive numbers that are presented in the array...
instruction
0
25,619
22
51,238
Tags: implementation Correct Solution: ``` import math k = int(input()) array = list(map(int,input().split())) if len(list(filter(lambda x: x > 0,array))) >= math.ceil(k / 2) : print(1) elif len(list(filter(lambda x: x < 0,array))) >= math.ceil(k / 2) : print(-1) else: print(0) ```
output
1
25,619
22
51,239
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an array of n integers: a_1, a_2, …, a_n. Your task is to find some non-zero integer d (-10^3 ≀ d ≀ 10^3) such that, after each number in the array is divided by d, the number of positive numbers that are presented in the array...
instruction
0
25,620
22
51,240
Tags: implementation Correct Solution: ``` n = int(input()) a = list(map(int, input().split())) m, p = 0, 0 for i in a: if i < 0: m += 1 elif i > 0: p += 1 if m >= (n // 2 + n % 2): print(-1) elif p >= (n // 2 + n % 2): print(1) else: print(0) ```
output
1
25,620
22
51,241
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array of n integers: a_1, a_2, …, a_n. Your task is to find some non-zero integer d (-10^3 ≀ d ≀ 10^3) such that, after each number in the array is divided by d, the number of p...
instruction
0
25,621
22
51,242
Yes
output
1
25,621
22
51,243
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array of n integers: a_1, a_2, …, a_n. Your task is to find some non-zero integer d (-10^3 ≀ d ≀ 10^3) such that, after each number in the array is divided by d, the number of p...
instruction
0
25,622
22
51,244
Yes
output
1
25,622
22
51,245
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array of n integers: a_1, a_2, …, a_n. Your task is to find some non-zero integer d (-10^3 ≀ d ≀ 10^3) such that, after each number in the array is divided by d, the number of p...
instruction
0
25,623
22
51,246
Yes
output
1
25,623
22
51,247
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array of n integers: a_1, a_2, …, a_n. Your task is to find some non-zero integer d (-10^3 ≀ d ≀ 10^3) such that, after each number in the array is divided by d, the number of p...
instruction
0
25,624
22
51,248
Yes
output
1
25,624
22
51,249
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array of n integers: a_1, a_2, …, a_n. Your task is to find some non-zero integer d (-10^3 ≀ d ≀ 10^3) such that, after each number in the array is divided by d, the number of p...
instruction
0
25,625
22
51,250
No
output
1
25,625
22
51,251
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array of n integers: a_1, a_2, …, a_n. Your task is to find some non-zero integer d (-10^3 ≀ d ≀ 10^3) such that, after each number in the array is divided by d, the number of p...
instruction
0
25,626
22
51,252
No
output
1
25,626
22
51,253
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array of n integers: a_1, a_2, …, a_n. Your task is to find some non-zero integer d (-10^3 ≀ d ≀ 10^3) such that, after each number in the array is divided by d, the number of p...
instruction
0
25,627
22
51,254
No
output
1
25,627
22
51,255
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an array of n integers: a_1, a_2, …, a_n. Your task is to find some non-zero integer d (-10^3 ≀ d ≀ 10^3) such that, after each number in the array is divided by d, the number of p...
instruction
0
25,628
22
51,256
No
output
1
25,628
22
51,257
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This is an interactive problem. We have hidden an integer 1 ≀ X ≀ 10^{9}. You don't have to guess this number. You have to find the number of divisors of this number, and you don't even have to...
instruction
0
25,746
22
51,492
No
output
1
25,746
22
51,493
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This is an interactive problem. We have hidden an integer 1 ≀ X ≀ 10^{9}. You don't have to guess this number. You have to find the number of divisors of this number, and you don't even have to...
instruction
0
25,747
22
51,494
No
output
1
25,747
22
51,495
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This is an interactive problem. We have hidden an integer 1 ≀ X ≀ 10^{9}. You don't have to guess this number. You have to find the number of divisors of this number, and you don't even have to...
instruction
0
25,748
22
51,496
No
output
1
25,748
22
51,497
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This is an interactive problem. We have hidden an integer 1 ≀ X ≀ 10^{9}. You don't have to guess this number. You have to find the number of divisors of this number, and you don't even have to...
instruction
0
25,749
22
51,498
No
output
1
25,749
22
51,499
Provide tags and a correct Python 3 solution for this coding contest problem. Holidays have finished. Thanks to the help of the hacker Leha, Noora managed to enter the university of her dreams which is located in a town Pavlopolis. It's well known that universities provide students with dormitory for the period of uni...
instruction
0
26,148
22
52,296
Tags: implementation, math, number theory Correct Solution: ``` # -*- coding: utf-8 -*- """ Created on Wed Jul 15 15:27:19 2020 @author: Kanoun """ def factorial(n): if (n==0): return 1 return n*factorial(n-1) A,B = map(int, input().split()) if (A<=B): print(factorial(A)) else: prin...
output
1
26,148
22
52,297
Provide tags and a correct Python 3 solution for this coding contest problem. Holidays have finished. Thanks to the help of the hacker Leha, Noora managed to enter the university of her dreams which is located in a town Pavlopolis. It's well known that universities provide students with dormitory for the period of uni...
instruction
0
26,149
22
52,298
Tags: implementation, math, number theory Correct Solution: ``` from functools import reduce from operator import mul def read_number_line(): return [int(i) for i in input().split()] a, b = read_number_line() print(reduce(mul, range(1, min(a, b) + 1))) ```
output
1
26,149
22
52,299
Provide tags and a correct Python 3 solution for this coding contest problem. Holidays have finished. Thanks to the help of the hacker Leha, Noora managed to enter the university of her dreams which is located in a town Pavlopolis. It's well known that universities provide students with dormitory for the period of uni...
instruction
0
26,150
22
52,300
Tags: implementation, math, number theory Correct Solution: ``` def factorial(n): fact = 1 for i in range(2, n+1): fact = fact*i return fact a, b = [int(x) for x in input().split()] if(a<=b): print(factorial(a)) else: print(factorial(b)) ```
output
1
26,150
22
52,301
Provide tags and a correct Python 3 solution for this coding contest problem. Holidays have finished. Thanks to the help of the hacker Leha, Noora managed to enter the university of her dreams which is located in a town Pavlopolis. It's well known that universities provide students with dormitory for the period of uni...
instruction
0
26,151
22
52,302
Tags: implementation, math, number theory Correct Solution: ``` import math a, b = map(int, input().split()) menor = min(a,b) print(math.factorial(menor)) ```
output
1
26,151
22
52,303