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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 given an array a consisting of n integers a_1, a_2, ... , a_n. In one operation you can choose two elements of the array and replace them with the element equal to their sum (it does no...
instruction
0
60,717
22
121,434
No
output
1
60,717
22
121,435
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 a consisting of n integers a_1, a_2, ... , a_n. In one operation you can choose two elements of the array and replace them with the element equal to their sum (it does no...
instruction
0
60,719
22
121,438
No
output
1
60,719
22
121,439
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 a consisting of n integers a_1, a_2, ... , a_n. In one operation you can choose two elements of the array and replace them with the element equal to their sum (it does no...
instruction
0
60,720
22
121,440
No
output
1
60,720
22
121,441
Provide tags and a correct Python 3 solution for this coding contest problem. In number world, two different numbers are friends if they have a lot in common, but also each one has unique perks. More precisely, two different numbers a and b are friends if gcd(a,b), (a)/(gcd(a,b)), (b)/(gcd(a,b)) can form sides of a t...
instruction
0
60,869
22
121,738
Tags: binary search, math, number theory, two pointers Correct Solution: ``` # by the authority of GOD author: manhar singh sachdev # import os,sys from io import BytesIO, IOBase def main(): sieve = [0]*(10**6+1) primes = [0]*(10**6+1) for i in range(2,10**6+1): if not sieve[i]: pr...
output
1
60,869
22
121,739
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In number world, two different numbers are friends if they have a lot in common, but also each one has unique perks. More precisely, two different numbers a and b are friends if gcd(a,b), (a)/(...
instruction
0
60,875
22
121,750
Yes
output
1
60,875
22
121,751
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In number world, two different numbers are friends if they have a lot in common, but also each one has unique perks. More precisely, two different numbers a and b are friends if gcd(a,b), (a)/(...
instruction
0
60,876
22
121,752
Yes
output
1
60,876
22
121,753
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. In number world, two different numbers are friends if they have a lot in common, but also each one has unique perks. More precisely, two different numbers a and b are friends if gcd(a,b), (a)/(...
instruction
0
60,878
22
121,756
No
output
1
60,878
22
121,757
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon likes to play with sets, integers and <image>. <image> is defined as the largest positive integer that divides both a and b. Let S be a set of exactly four distinct integers greater than 0. Define S to be of rank k if and only if f...
instruction
0
61,052
22
122,104
Tags: constructive algorithms, greedy, math Correct Solution: ``` ''' Created on Oct 12, 2014 @author: Ismael ''' #import time from fractions import gcd def checkSet(setK,newVal): for v in setK: if(gcd(v,newVal) != 1): return False return True def solve(n,k): j = 1 sets = [] ...
output
1
61,052
22
122,105
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon likes to play with sets, integers and <image>. <image> is defined as the largest positive integer that divides both a and b. Let S be a set of exactly four distinct integers greater th...
instruction
0
61,063
22
122,126
No
output
1
61,063
22
122,127
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon likes to play with sets, integers and <image>. <image> is defined as the largest positive integer that divides both a and b. Let S be a set of exactly four distinct integers greater th...
instruction
0
61,065
22
122,130
No
output
1
61,065
22
122,131
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon likes to play with sets, integers and <image>. <image> is defined as the largest positive integer that divides both a and b. Let S be a set of exactly four distinct integers greater th...
instruction
0
61,066
22
122,132
No
output
1
61,066
22
122,133
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
61,147
22
122,294
Tags: math, number theory Correct Solution: ``` def is_prime(x): lst = [] nn = x for i in range(2, round(x**0.5)+1): while nn % i == 0: nn //= i lst.append(i) if nn > 1: lst.append(nn) nn = 1 return lst n = int(input()) if n == 2: print(1) exi...
output
1
61,147
22
122,295
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
61,148
22
122,296
Tags: math, number theory Correct Solution: ``` def isprime(n): if(n==1): return 0 if(n==2 or n==3): return 1 i=2 while(i*i<=n): if(n%i==0): break i+=1 if(i*i>n): return 1 else: return 0 n=int(input()) if(isprime(n)==1): print(1) elif(isprime(n-2)==1 or n%2==0): print(2) else: print(3) ```
output
1
61,148
22
122,297
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
61,149
22
122,298
Tags: math, number theory Correct Solution: ``` I = lambda: int(input()) IL = lambda: list(map(int, input().split())) S = [0] * 100001 S[0] = S[1] = 1 for i in range(2, 100001): if S[i]: continue else: for j in range(2*i, 100001, i): S[j] = 1 primes = [i for i, s in enumerate(S) if ...
output
1
61,149
22
122,299
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
61,150
22
122,300
Tags: math, number theory Correct Solution: ``` def ok(n): ok = False i = int(2) while i*i <= n: if n % i == 0: ok = True i += 1 return ok == False n = int(input()) i = int(0) if(ok(n)): print(1) elif(n % 2 == 0): print(2) elif(ok(n - 2)): print(2) else: ...
output
1
61,150
22
122,301
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
61,151
22
122,302
Tags: math, number theory Correct Solution: ``` def isPrime(n): for i in range(2,int(n**0.5+100)): if n%i==0 and n!=i: return False return True n=int(input()) if isPrime(n): print(1) elif n%2==0: print(2) elif isPrime(n-2): print(2) else: print(3) ```
output
1
61,151
22
122,303
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
61,152
22
122,304
Tags: math, number theory Correct Solution: ``` from itertools import * from math import * def isPrime(n): return n>1and all(n%i for i in islice(count(2),int(sqrt(n)-1))) b=int(input()) m=isPrime(b) if m==True: print(1) elif b%2==0: print(2) elif isPrime(b-2)==True: print(2) else: print(3) ```
output
1
61,152
22
122,305
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
61,153
22
122,306
Tags: math, number theory Correct Solution: ``` def snt(n): for i in range(2, int(n**0.5) + 1): if n%i == 0: return False return True n = int(input()) if n%2 == 0: if n == 2 : print(1) else: print(2) else: if snt(n): print('1') else: ...
output
1
61,153
22
122,307
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
61,154
22
122,308
Tags: math, number theory Correct Solution: ``` #########################################################################################################\ ######################################################################################################### ###################################The_Apurv_Rathore#######...
output
1
61,154
22
122,309
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
61,155
22
122,310
Yes
output
1
61,155
22
122,311
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
61,156
22
122,312
Yes
output
1
61,156
22
122,313
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
61,158
22
122,316
Yes
output
1
61,158
22
122,317
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Input The input contains a single integer a (0 ≤ a ≤ 63). Output Output a single number. Examples Input 2 Output 2 Input 5 Output 24 Input 35 Output 50 Submitted So...
instruction
0
61,613
22
123,226
Yes
output
1
61,613
22
123,227
Provide tags and a correct Python 3 solution for this coding contest problem. Omkar's most recent follower, Ajit, has entered the Holy Forest. Ajit realizes that Omkar's forest is an n by m grid (1 ≤ n, m ≤ 2000) of some non-negative integers. Since the forest is blessed by Omkar, it satisfies some special conditions:...
instruction
0
61,709
22
123,418
Tags: combinatorics, graphs, math, shortest paths Correct Solution: ``` #!/usr/bin/python3 # -*- coding: utf-8 -*- import sys import typing def rl(proc=None) -> typing.Any: if proc is not None: return proc(sys.stdin.readline()) else: return sys.stdin.readline().rstrip() def srl(proc=None) -> ...
output
1
61,709
22
123,419
Provide tags and a correct Python 3 solution for this coding contest problem. Omkar's most recent follower, Ajit, has entered the Holy Forest. Ajit realizes that Omkar's forest is an n by m grid (1 ≤ n, m ≤ 2000) of some non-negative integers. Since the forest is blessed by Omkar, it satisfies some special conditions:...
instruction
0
61,710
22
123,420
Tags: combinatorics, graphs, math, shortest paths Correct Solution: ``` for i in range(int(input())): n, m = map(int, input().split()) counta = sum([input().count("#") for i in range(n)]) print(pow(2, counta, int(10**9+7))-(counta == m*n)) ```
output
1
61,710
22
123,421
Provide tags and a correct Python 3 solution for this coding contest problem. Omkar's most recent follower, Ajit, has entered the Holy Forest. Ajit realizes that Omkar's forest is an n by m grid (1 ≤ n, m ≤ 2000) of some non-negative integers. Since the forest is blessed by Omkar, it satisfies some special conditions:...
instruction
0
61,711
22
123,422
Tags: combinatorics, graphs, math, shortest paths Correct Solution: ``` for _ in range(int(input())): n,m = [int(X) for X in input().split()];aaa = 0 for i in range(n): x = input();aaa+=x.count('#') print(pow(2,aaa,int(1e9+7)) - (1 if aaa==n*m else 0)) ```
output
1
61,711
22
123,423
Provide tags and a correct Python 3 solution for this coding contest problem. Omkar's most recent follower, Ajit, has entered the Holy Forest. Ajit realizes that Omkar's forest is an n by m grid (1 ≤ n, m ≤ 2000) of some non-negative integers. Since the forest is blessed by Omkar, it satisfies some special conditions:...
instruction
0
61,712
22
123,424
Tags: combinatorics, graphs, math, shortest paths Correct Solution: ``` for _ in range(int(input())): n, m = [int(x) for x in input().split()] k = 0 for i in range(n): s = input() for j in range(m): if(s[j] != '0'): k += 1 ans = 2**k if(n*m == k): ...
output
1
61,712
22
123,425
Provide tags and a correct Python 3 solution for this coding contest problem. Omkar's most recent follower, Ajit, has entered the Holy Forest. Ajit realizes that Omkar's forest is an n by m grid (1 ≤ n, m ≤ 2000) of some non-negative integers. Since the forest is blessed by Omkar, it satisfies some special conditions:...
instruction
0
61,713
22
123,426
Tags: combinatorics, graphs, math, shortest paths Correct Solution: ``` def power(x, y, p): b = bin(y)[2:] start = x answer = 1 for i in range(len(b)-1, -1, -1): if b[i]=='1': answer = (answer*start) % p start = (start*start) % p return answer p = 10**9+7 def process(M):...
output
1
61,713
22
123,427
Provide tags and a correct Python 3 solution for this coding contest problem. Omkar's most recent follower, Ajit, has entered the Holy Forest. Ajit realizes that Omkar's forest is an n by m grid (1 ≤ n, m ≤ 2000) of some non-negative integers. Since the forest is blessed by Omkar, it satisfies some special conditions:...
instruction
0
61,714
22
123,428
Tags: combinatorics, graphs, math, shortest paths Correct Solution: ``` import sys input = sys.stdin.readline def solve(): n, m = map(int, input().split()) c = 0 for i in range(n): c += input().count('#') MOD = int(1e9+7) a = pow(2, c, MOD) if c == n*m: a = (a - 1) % MOD print(a) for i in range(int(input(...
output
1
61,714
22
123,429
Provide tags and a correct Python 3 solution for this coding contest problem. Omkar's most recent follower, Ajit, has entered the Holy Forest. Ajit realizes that Omkar's forest is an n by m grid (1 ≤ n, m ≤ 2000) of some non-negative integers. Since the forest is blessed by Omkar, it satisfies some special conditions:...
instruction
0
61,715
22
123,430
Tags: combinatorics, graphs, math, shortest paths Correct Solution: ``` mod = 10**9 + 7 def power(x,e): res = 1 while e: if e&1: res = res * x % mod x = (x*x) % mod e >>= 1 return res for _ in range(int(input())): n,m = map(int,input().split()) cnt = 0 for ...
output
1
61,715
22
123,431
Provide tags and a correct Python 3 solution for this coding contest problem. Omkar's most recent follower, Ajit, has entered the Holy Forest. Ajit realizes that Omkar's forest is an n by m grid (1 ≤ n, m ≤ 2000) of some non-negative integers. Since the forest is blessed by Omkar, it satisfies some special conditions:...
instruction
0
61,716
22
123,432
Tags: combinatorics, graphs, math, shortest paths Correct Solution: ``` """n = int(input()) for _ in range(n): m = int(input()) s = input() if s.count("T") == 2*m/3 and s.count("M") == m/3: pass else: print("NO") """ """n = int(input()) for _ in range(n): m = int(input()) s = in...
output
1
61,716
22
123,433
Provide tags and a correct Python 3 solution for this coding contest problem. Given the number n, find the smallest positive integer which has exactly n divisors. It is guaranteed that for the given n the answer will not exceed 1018. Input The first line of the input contains integer n (1 ≤ n ≤ 1000). Output Outpu...
instruction
0
61,737
22
123,474
Tags: brute force, dp, number theory Correct Solution: ``` # # of divisors of p1^e1 p2^e2 ... is (e1 + 1)(e2 + 1) ... (en + 1) # Try all possible partitions, sort, see which gives the least answer? # 1: 1 # 2: 2 # 3: 4 # 4: 6, 2^3 = 8, 2 * 3 = 6 # 5: 16 # 6: 12 ans = [0, 1, 2, 4, 6, 16, 12, 64, 24, 36, 48, 1024, 60, ...
output
1
61,737
22
123,475
Provide tags and a correct Python 3 solution for this coding contest problem. Given the number n, find the smallest positive integer which has exactly n divisors. It is guaranteed that for the given n the answer will not exceed 1018. Input The first line of the input contains integer n (1 ≤ n ≤ 1000). Output Outpu...
instruction
0
61,738
22
123,476
Tags: brute force, dp, number theory Correct Solution: ``` P = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47] def power(a, b): res = 1 while (b): if (b & 1): res *= a a *= a b >>= 1 return res ans = [] ans.append(1e30) def solve(pos, n, res): if (n == 1): ans[0] = min(ans[0], res) for i in range(...
output
1
61,738
22
123,477
Provide tags and a correct Python 3 solution for this coding contest problem. Given the number n, find the smallest positive integer which has exactly n divisors. It is guaranteed that for the given n the answer will not exceed 1018. Input The first line of the input contains integer n (1 ≤ n ≤ 1000). Output Outpu...
instruction
0
61,739
22
123,478
Tags: brute force, dp, number theory Correct Solution: ``` import math N = 1003 n = int(input()) dp = [[1000000000000000000 for i in range(N)] for j in range(62)] primes = [] for i in range(2, 1000): if(len(primes) > 62): break flag = True for j in range(2, i): if(i % j == 0): flag = False break if(flag):...
output
1
61,739
22
123,479
Provide tags and a correct Python 3 solution for this coding contest problem. Given the number n, find the smallest positive integer which has exactly n divisors. It is guaranteed that for the given n the answer will not exceed 1018. Input The first line of the input contains integer n (1 ≤ n ≤ 1000). Output Outpu...
instruction
0
61,740
22
123,480
Tags: brute force, dp, number theory Correct Solution: ``` def fact(n): p = {} d = 2 while d * d <= n: while n % d == 0: p[d-1] = p.get(d-1,0)+1 n //= d d += 1 if n > 1: p[n-1] = p.get(n-1,0) + 1 return p def isPrime(n): if n % 2 == 0: ret...
output
1
61,740
22
123,481
Provide tags and a correct Python 3 solution for this coding contest problem. Given the number n, find the smallest positive integer which has exactly n divisors. It is guaranteed that for the given n the answer will not exceed 1018. Input The first line of the input contains integer n (1 ≤ n ≤ 1000). Output Outpu...
instruction
0
61,741
22
123,482
Tags: brute force, dp, number theory Correct Solution: ``` def main(): def f(x, i, aa): if (x, i) not in cache: bb = [q for q in aa if not x % q] p = (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43)[i] cache[x, i] = min(p ** (d - 1) * f(x // d, i + 1, bb) for d in bb)...
output
1
61,741
22
123,483
Provide tags and a correct Python 3 solution for this coding contest problem. Given the number n, find the smallest positive integer which has exactly n divisors. It is guaranteed that for the given n the answer will not exceed 1018. Input The first line of the input contains integer n (1 ≤ n ≤ 1000). Output Outpu...
instruction
0
61,742
22
123,484
Tags: brute force, dp, number theory Correct Solution: ``` import math p = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43] def solve(n, pos): ans = [1, 10 ** 18][n > 1] # si n>1 ans = 10**18 sino ans =1 dado que solo se necesita 1 divisor y solo 1 cumple tener un unico divisor for exp in range(2, n + 1):...
output
1
61,742
22
123,485
Provide tags and a correct Python 3 solution for this coding contest problem. Given the number n, find the smallest positive integer which has exactly n divisors. It is guaranteed that for the given n the answer will not exceed 1018. Input The first line of the input contains integer n (1 ≤ n ≤ 1000). Output Outpu...
instruction
0
61,743
22
123,486
Tags: brute force, dp, number theory Correct Solution: ``` def delit(a) : res = [] i = 1 while i * i < a + 1 : if a % i == 0 : temp = [i, a // i] res.append(temp) i += 1 return res n = int(input()) npr = [2,3,5,7,11,13,17,19,23,29] fact = delit(n) flen = len...
output
1
61,743
22
123,487
Provide tags and a correct Python 3 solution for this coding contest problem. Given the number n, find the smallest positive integer which has exactly n divisors. It is guaranteed that for the given n the answer will not exceed 1018. Input The first line of the input contains integer n (1 ≤ n ≤ 1000). Output Outpu...
instruction
0
61,744
22
123,488
Tags: brute force, dp, number theory Correct Solution: ``` def isPrime(i) -> bool: t = 2 while t * t <= i: if i % t == 0: return False t += 1 return i > 1 MAX_ANS = 10 ** 18 d = int(input()) bound = 25 p = [-1] for i in range(100000): if(isPrime(i)): p.append(i) ...
output
1
61,744
22
123,489
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given the number n, find the smallest positive integer which has exactly n divisors. It is guaranteed that for the given n the answer will not exceed 1018. Input The first line of the input co...
instruction
0
61,745
22
123,490
Yes
output
1
61,745
22
123,491
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given the number n, find the smallest positive integer which has exactly n divisors. It is guaranteed that for the given n the answer will not exceed 1018. Input The first line of the input co...
instruction
0
61,746
22
123,492
Yes
output
1
61,746
22
123,493
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given the number n, find the smallest positive integer which has exactly n divisors. It is guaranteed that for the given n the answer will not exceed 1018. Input The first line of the input co...
instruction
0
61,747
22
123,494
Yes
output
1
61,747
22
123,495
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given the number n, find the smallest positive integer which has exactly n divisors. It is guaranteed that for the given n the answer will not exceed 1018. Input The first line of the input co...
instruction
0
61,748
22
123,496
Yes
output
1
61,748
22
123,497
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given the number n, find the smallest positive integer which has exactly n divisors. It is guaranteed that for the given n the answer will not exceed 1018. Input The first line of the input co...
instruction
0
61,749
22
123,498
No
output
1
61,749
22
123,499
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given the number n, find the smallest positive integer which has exactly n divisors. It is guaranteed that for the given n the answer will not exceed 1018. Input The first line of the input co...
instruction
0
61,750
22
123,500
No
output
1
61,750
22
123,501
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given the number n, find the smallest positive integer which has exactly n divisors. It is guaranteed that for the given n the answer will not exceed 1018. Input The first line of the input co...
instruction
0
61,751
22
123,502
No
output
1
61,751
22
123,503
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given the number n, find the smallest positive integer which has exactly n divisors. It is guaranteed that for the given n the answer will not exceed 1018. Input The first line of the input co...
instruction
0
61,752
22
123,504
No
output
1
61,752
22
123,505
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an integer m, and a list of n distinct integers between 0 and m - 1. You would like to construct a sequence satisfying the properties: * Each element is an integer between 0 and m - 1, inclusive. * All prefix products of...
instruction
0
61,948
22
123,896
Tags: constructive algorithms, dp, graphs, math, number theory Correct Solution: ``` import math def gcdExtended(a, b): # Base Case if a == 0 : return b, 0, 1 gcd, x1, y1 = gcdExtended(b%a, a) # Update x and y using results of recursive # call x = y1...
output
1
61,948
22
123,897
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an integer m, and a list of n distinct integers between 0 and m - 1. You would like to construct a sequence satisfying the properties: * Each element is an integer between 0 and m - 1, inclusive. * All prefix products of...
instruction
0
61,949
22
123,898
Tags: constructive algorithms, dp, graphs, math, number theory Correct Solution: ``` maxn = 200500 g = [[] for i in range(maxn)] # Array de array g[i][j] en el cual la posicion i representa gcd(a,m) # y en el array [j] se guardan todos los ¨a¨ con gcd comunes dp = [0 for i in range(maxn)]...
output
1
61,949
22
123,899
Provide a correct Python 3 solution for this coding contest problem. Given is a positive integer N. We will choose an integer K between 2 and N (inclusive), then we will repeat the operation below until N becomes less than K. * Operation: if K divides N, replace N with N/K; otherwise, replace N with N-K. In how m...
instruction
0
62,045
22
124,090
"Correct Solution: ``` def divisor(n): res = [] i = 1 while i*i <= n: if not n % i: res.append(i) if (i*i != n): res.append(n//i) i += 1 return res N = int(input()) ans = 0 for d in divisor(N): if d == 1: continue n = N ...
output
1
62,045
22
124,091