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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're given Q queries of the form (L, R). For each query you have to find the number of such x that L ≤ x ≤ R and there exist integer numbers a > 0, p > 1 such that x = ap. Input The first ...
instruction
0
94,126
22
188,252
No
output
1
94,126
22
188,253
Provide a correct Python 3 solution for this coding contest problem. Given are a sequence A= {a_1,a_2,......a_N} of N positive even numbers, and an integer M. Let a semi-common multiple of A be a positive integer X that satisfies the following condition for every k (1 \leq k \leq N): * There exists a non-negative in...
instruction
0
94,163
22
188,326
"Correct Solution: ``` from fractions import gcd N, M = map(int, input().split()) A = list(map(int, input().split())) a = A[0] n = 1 while a % 2 == 0: n *= 2 a //= 2 lcm = 1 for a in A: if a % n != 0 or a % (2 * n) == 0: print(0) exit() lcm = lcm * a // gcd(lcm, a) if lcm // 2 > M...
output
1
94,163
22
188,327
Provide a correct Python 3 solution for this coding contest problem. Given are a sequence A= {a_1,a_2,......a_N} of N positive even numbers, and an integer M. Let a semi-common multiple of A be a positive integer X that satisfies the following condition for every k (1 \leq k \leq N): * There exists a non-negative in...
instruction
0
94,164
22
188,328
"Correct Solution: ``` from fractions import gcd from functools import reduce N, M, *A = map(int, open(0).read().split()) Y = reduce(lambda a, b: a * b // gcd(a, b), A) print(M // (Y // 2) - (M // Y) if all((Y // a) % 2 for a in A) else 0) ```
output
1
94,164
22
188,329
Provide a correct Python 3 solution for this coding contest problem. Given are a sequence A= {a_1,a_2,......a_N} of N positive even numbers, and an integer M. Let a semi-common multiple of A be a positive integer X that satisfies the following condition for every k (1 \leq k \leq N): * There exists a non-negative in...
instruction
0
94,165
22
188,330
"Correct Solution: ``` from fractions import gcd n, m = map(int, input().split()) a = list(map(int, input().split())) l = 1 num = a[0] bin = 1 while num % 2 == 0: bin *= 2 num //= 2 for num in a: l = (l * num // 2) // gcd(l, num // 2) if num % bin != 0 or num % (bin * 2) == 0: print(0) ...
output
1
94,165
22
188,331
Provide a correct Python 3 solution for this coding contest problem. Given are a sequence A= {a_1,a_2,......a_N} of N positive even numbers, and an integer M. Let a semi-common multiple of A be a positive integer X that satisfies the following condition for every k (1 \leq k \leq N): * There exists a non-negative in...
instruction
0
94,166
22
188,332
"Correct Solution: ``` from math import gcd N, M = map(int, input().split()) A = list(map(int, input().split())) A = [i // 2 for i in A] lcd = 1 for a in A: lcd *= a // gcd(lcd, a) for a in A: if lcd // a % 2 == 0: print(0) exit() print((M//lcd+1)//2) ```
output
1
94,166
22
188,333
Provide a correct Python 3 solution for this coding contest problem. Given are a sequence A= {a_1,a_2,......a_N} of N positive even numbers, and an integer M. Let a semi-common multiple of A be a positive integer X that satisfies the following condition for every k (1 \leq k \leq N): * There exists a non-negative in...
instruction
0
94,167
22
188,334
"Correct Solution: ``` from fractions import gcd n, m = map(int, input().split()) a = list(map(int, input().split())) b = [a[i]//2 for i in range(n)] lcm_a = 1 for i in range(n): lcm_a = (lcm_a * b[i]) // gcd(lcm_a, b[i]) for i in range(n): if (lcm_a//b[i]) % 2 == 0: print(0) exit() if m < lcm_...
output
1
94,167
22
188,335
Provide a correct Python 3 solution for this coding contest problem. Given are a sequence A= {a_1,a_2,......a_N} of N positive even numbers, and an integer M. Let a semi-common multiple of A be a positive integer X that satisfies the following condition for every k (1 \leq k \leq N): * There exists a non-negative in...
instruction
0
94,168
22
188,336
"Correct Solution: ``` N,M = map(int,input().split()) A = list(map(int,input().split())) s = set() B = [] for a in A: t = a & -a s.add(t) if len(s) > 1: print(0) exit() B.append(a // t) from fractions import gcd l = 1 for b in B: l = b*l // gcd(b,l) x = l*t // 2 ans = M//x - M//(2*...
output
1
94,168
22
188,337
Provide a correct Python 3 solution for this coding contest problem. Given are a sequence A= {a_1,a_2,......a_N} of N positive even numbers, and an integer M. Let a semi-common multiple of A be a positive integer X that satisfies the following condition for every k (1 \leq k \leq N): * There exists a non-negative in...
instruction
0
94,169
22
188,338
"Correct Solution: ``` import sys def gcd(x,y): while y: x,y = y , x % y return x n,m=map(int,input().split()) a=tuple(map(int,input().split())) lcm = 1 for i in a: lcm = lcm * i // gcd(lcm,i) for i in a: if (lcm//i)%2 == 0: print(0) sys.exit() print((m+lcm//2)//lcm) ```
output
1
94,169
22
188,339
Provide a correct Python 3 solution for this coding contest problem. Given are a sequence A= {a_1,a_2,......a_N} of N positive even numbers, and an integer M. Let a semi-common multiple of A be a positive integer X that satisfies the following condition for every k (1 \leq k \leq N): * There exists a non-negative in...
instruction
0
94,170
22
188,340
"Correct Solution: ``` N, M = map(int, input().split()) A = list(set(map(lambda x : int(x)//2, input().split()))) def gcd(x, y): return x if y == 0 else gcd(y, x % y) def lcm(x, y): return (x * y) // gcd(x, y) l = A[0] for a in A[1:]: l = lcm(l, a) ans = (M // l + 1) // 2 for a in A[1:]: if (l // a) % 2 == 0: ...
output
1
94,170
22
188,341
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are a sequence A= {a_1,a_2,......a_N} of N positive even numbers, and an integer M. Let a semi-common multiple of A be a positive integer X that satisfies the following condition for ever...
instruction
0
94,171
22
188,342
Yes
output
1
94,171
22
188,343
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are a sequence A= {a_1,a_2,......a_N} of N positive even numbers, and an integer M. Let a semi-common multiple of A be a positive integer X that satisfies the following condition for ever...
instruction
0
94,172
22
188,344
Yes
output
1
94,172
22
188,345
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are a sequence A= {a_1,a_2,......a_N} of N positive even numbers, and an integer M. Let a semi-common multiple of A be a positive integer X that satisfies the following condition for ever...
instruction
0
94,173
22
188,346
Yes
output
1
94,173
22
188,347
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are a sequence A= {a_1,a_2,......a_N} of N positive even numbers, and an integer M. Let a semi-common multiple of A be a positive integer X that satisfies the following condition for ever...
instruction
0
94,174
22
188,348
Yes
output
1
94,174
22
188,349
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are a sequence A= {a_1,a_2,......a_N} of N positive even numbers, and an integer M. Let a semi-common multiple of A be a positive integer X that satisfies the following condition for ever...
instruction
0
94,176
22
188,352
No
output
1
94,176
22
188,353
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are a sequence A= {a_1,a_2,......a_N} of N positive even numbers, and an integer M. Let a semi-common multiple of A be a positive integer X that satisfies the following condition for ever...
instruction
0
94,177
22
188,354
No
output
1
94,177
22
188,355
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given are a sequence A= {a_1,a_2,......a_N} of N positive even numbers, and an integer M. Let a semi-common multiple of A be a positive integer X that satisfies the following condition for ever...
instruction
0
94,178
22
188,356
No
output
1
94,178
22
188,357
Provide a correct Python 3 solution for this coding contest problem. Given are a prime number p and a sequence of p integers a_0, \ldots, a_{p-1} consisting of zeros and ones. Find a polynomial of degree at most p-1, f(x) = b_{p-1} x^{p-1} + b_{p-2} x^{p-2} + \ldots + b_0, satisfying the following conditions: * For ...
instruction
0
94,179
22
188,358
"Correct Solution: ``` p = int(input()) a = list(map(int, input().split())) MAX = 3000 fact = [1]*(MAX+1) for i in range(1, MAX+1): fact[i] = (fact[i-1]*i) % p inv = [1]*(MAX+1) for i in range(2, MAX+1): inv[i] = inv[p % i]*(p-p//i) % p fact_inv = [1]*(MAX+1) for i in range(1, MAX+1): fact_inv[i] = fact_...
output
1
94,179
22
188,359
Provide a correct Python 3 solution for this coding contest problem. Given are a prime number p and a sequence of p integers a_0, \ldots, a_{p-1} consisting of zeros and ones. Find a polynomial of degree at most p-1, f(x) = b_{p-1} x^{p-1} + b_{p-2} x^{p-2} + \ldots + b_0, satisfying the following conditions: * For ...
instruction
0
94,180
22
188,360
"Correct Solution: ``` class Combi(): def __init__(self, N, mod): self.power = [1 for _ in range(N+1)] self.rev = [1 for _ in range(N+1)] self.mod = mod for i in range(2, N+1): self.power[i] = (self.power[i-1]*i) % self.mod self.rev[N] = pow(self.power[N], self.mo...
output
1
94,180
22
188,361
Provide a correct Python 3 solution for this coding contest problem. Given are a prime number p and a sequence of p integers a_0, \ldots, a_{p-1} consisting of zeros and ones. Find a polynomial of degree at most p-1, f(x) = b_{p-1} x^{p-1} + b_{p-2} x^{p-2} + \ldots + b_0, satisfying the following conditions: * For ...
instruction
0
94,181
22
188,362
"Correct Solution: ``` p = int(input()) mod = p def frac(limit): frac = [1]*limit for i in range(2,limit): frac[i] = i * frac[i-1]%mod fraci = [None]*limit fraci[-1] = pow(frac[-1], mod -2, mod) for i in range(-2, -limit-1, -1): fraci[i] = fraci[i+1] * (limit + i + 1) % mod ret...
output
1
94,181
22
188,363
Provide a correct Python 3 solution for this coding contest problem. Given are a prime number p and a sequence of p integers a_0, \ldots, a_{p-1} consisting of zeros and ones. Find a polynomial of degree at most p-1, f(x) = b_{p-1} x^{p-1} + b_{p-2} x^{p-2} + \ldots + b_0, satisfying the following conditions: * For ...
instruction
0
94,182
22
188,364
"Correct Solution: ``` import sys stdin = sys.stdin ni = lambda: int(ns()) na = lambda: list(map(int, stdin.readline().split())) ns = lambda: stdin.readline().rstrip() # ignore trailing spaces def inv(a, mod): b = mod p = 1; q = 0 while b > 0: c = a // b a, b = b, a%b p, q = q, p...
output
1
94,182
22
188,365
Provide a correct Python 3 solution for this coding contest problem. Given are a prime number p and a sequence of p integers a_0, \ldots, a_{p-1} consisting of zeros and ones. Find a polynomial of degree at most p-1, f(x) = b_{p-1} x^{p-1} + b_{p-2} x^{p-2} + \ldots + b_0, satisfying the following conditions: * For ...
instruction
0
94,183
22
188,366
"Correct Solution: ``` def f_polynomal_construction(P, A): class Combination(object): """参考: https://harigami.net/contents?id=5f169f85-5707-4137-87a5-f0068749d9bb""" __slots__ = ["mod", "factorial", "inverse"] def __init__(self, max_n: int = 10**6, mod: int = 10**9 + 7): fac, in...
output
1
94,183
22
188,367
Provide a correct Python 3 solution for this coding contest problem. Given are a prime number p and a sequence of p integers a_0, \ldots, a_{p-1} consisting of zeros and ones. Find a polynomial of degree at most p-1, f(x) = b_{p-1} x^{p-1} + b_{p-2} x^{p-2} + \ldots + b_0, satisfying the following conditions: * For ...
instruction
0
94,184
22
188,368
"Correct Solution: ``` p = int(input()) a = list(map(int, input().split())) MOD = p MAX = p + 10 fact = [1] * (MAX + 1) # i! finv = [1] * (MAX + 1) # (i!)^{-1} iinv = [1] * (MAX + 1) # i^{-1} for i in range(2, MAX + 1): fact[i] = fact[i - 1] * i % MOD iinv[i] = MOD - iinv[MOD % i] * (MOD // i) % MOD fin...
output
1
94,184
22
188,369
Provide a correct Python 3 solution for this coding contest problem. Given are a prime number p and a sequence of p integers a_0, \ldots, a_{p-1} consisting of zeros and ones. Find a polynomial of degree at most p-1, f(x) = b_{p-1} x^{p-1} + b_{p-2} x^{p-2} + \ldots + b_0, satisfying the following conditions: * For ...
instruction
0
94,186
22
188,372
"Correct Solution: ``` import os import sys if os.getenv("LOCAL"): sys.stdin = open("_in.txt", "r") sys.setrecursionlimit(10 ** 9) INF = float("inf") IINF = 10 ** 18 MOD = 10 ** 9 + 7 # MOD = 998244353 def get_factorials(max, mod=None): """ 階乗 0!, 1!, 2!, ..., max! :param int max: :param int m...
output
1
94,186
22
188,373
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer nu...
instruction
0
94,768
22
189,536
Tags: math Correct Solution: ``` a,b=map(int, input().split()) m=1000000007 B = int((b*(b-1)/2) % m ); A1 = int((a*(a+1)/2) % m ); A = int((A1*b+a) % m ); res = int((A*B) % m) ; print(res) ```
output
1
94,768
22
189,537
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer nu...
instruction
0
94,769
22
189,538
Tags: math Correct Solution: ``` a,b = map(int,input().split()) MOD = 1000000007 x = a*(a + 1) x = x // 2 x = x % MOD x = (x * b) % MOD x = (x + a) % MOD x = ((x*b*(b - 1)) // 2) % MOD print(x) ```
output
1
94,769
22
189,539
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer nu...
instruction
0
94,770
22
189,540
Tags: math Correct Solution: ``` a,b=map(int,input().split()) h=1000000007 c=((a*(b*b-b))//2)%h; d=((a*a+a)//2)%h; e=((b*b*b-b*b)//2)%h; print((c+(d*e)%h)%h) ```
output
1
94,770
22
189,541
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer nu...
instruction
0
94,771
22
189,542
Tags: math Correct Solution: ``` # -*- coding: utf-8 -*- """ Created on Wed Jul 7 23:26:09 2021 @author: Kevin Chang Project: Codeforces Problem 476C """ a, b = list(map(int, input().split())) modu = 10**9+7 res = (b*(b-1)//2)*((b*a*(a+1)//2)+a)%modu print(res) ```
output
1
94,771
22
189,543
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer nu...
instruction
0
94,772
22
189,544
Tags: math Correct Solution: ``` mod =10**9+7 a,b = map(int,input().split()) t1 = (b*(b-1)//2)%mod t2 = (a*(a+1)//2)%mod t3= (t2*b)%mod +a ans = (t1 * t3)%mod print(ans) ```
output
1
94,772
22
189,545
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer nu...
instruction
0
94,773
22
189,546
Tags: math Correct Solution: ``` a,b = list(map(int,input().split())) if b ==1 : print(0) else : res = a + b*a*(a+1)//2 res = (res*(b)*(b-1)//2) print(res%(10**9 +7)) ```
output
1
94,773
22
189,547
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer nu...
instruction
0
94,774
22
189,548
Tags: math Correct Solution: ``` a = input() a = a.split() a,b = int(a[0]),int(a[1]) k2 = b*(b-1)*a // 2 k = (b-1)*b//2 * b* (1+a)*a // 2 res = (k + k2) % 1000000007 print(res) ```
output
1
94,774
22
189,549
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer nu...
instruction
0
94,775
22
189,550
Tags: math Correct Solution: ``` import sys import math MAXNUM = math.inf MINNUM = -1 * math.inf ASCIILOWER = 97 ASCIIUPPER = 65 MODMAX = 1000000007 def getInt(): return int(sys.stdin.readline().rstrip()) def getInts(): return map(int, sys.stdin.readline().rstrip().split(" ")) def getString(): return...
output
1
94,775
22
189,551
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if ...
instruction
0
94,776
22
189,552
Yes
output
1
94,776
22
189,553
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if ...
instruction
0
94,777
22
189,554
Yes
output
1
94,777
22
189,555
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if ...
instruction
0
94,778
22
189,556
Yes
output
1
94,778
22
189,557
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if ...
instruction
0
94,779
22
189,558
Yes
output
1
94,779
22
189,559
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if ...
instruction
0
94,782
22
189,564
No
output
1
94,782
22
189,565
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if ...
instruction
0
94,783
22
189,566
No
output
1
94,783
22
189,567
Provide tags and a correct Python 3 solution for this coding contest problem. Well, here is another math class task. In mathematics, GCD is the greatest common divisor, and it's an easy task to calculate the GCD between two positive integers. A common divisor for two positive numbers is a number which both numbers ar...
instruction
0
94,898
22
189,796
Tags: binary search, number theory Correct Solution: ``` import math from sys import stdout def print_fast(string): stdout.write(string + '\n') def MGCD(_gcd, low, high): answer = -1 botton = low index = min(_gcd, high) while index >= botton: if _gcd % index == 0: return inde...
output
1
94,898
22
189,797
Provide tags and a correct Python 3 solution for this coding contest problem. Well, here is another math class task. In mathematics, GCD is the greatest common divisor, and it's an easy task to calculate the GCD between two positive integers. A common divisor for two positive numbers is a number which both numbers ar...
instruction
0
94,899
22
189,798
Tags: binary search, number theory Correct Solution: ``` from math import gcd a,b = list(map(int, input().split())) cd = gcd(a,b) ar =[] for i in range(1,int(cd**0.5)+1): if cd % i == 0: ar.append(i) if(i*i != cd): ar.append(cd//i) for _ in range(int(input())): l,h = list(map(int,...
output
1
94,899
22
189,799
Provide tags and a correct Python 3 solution for this coding contest problem. Well, here is another math class task. In mathematics, GCD is the greatest common divisor, and it's an easy task to calculate the GCD between two positive integers. A common divisor for two positive numbers is a number which both numbers ar...
instruction
0
94,900
22
189,800
Tags: binary search, number theory Correct Solution: ``` n,m = [int(i) for i in input().split()] l = [] for i in range(1,int(n**0.5)+1): if n%i == 0 and m%i == 0: l.append(i) if n%(n//i) == 0 and m%(n//i) == 0: l.append(n//i) l.sort() n = int(input()) for i in range(n): q,w = [int(j) for j in input().split()] m...
output
1
94,900
22
189,801
Provide tags and a correct Python 3 solution for this coding contest problem. Well, here is another math class task. In mathematics, GCD is the greatest common divisor, and it's an easy task to calculate the GCD between two positive integers. A common divisor for two positive numbers is a number which both numbers ar...
instruction
0
94,901
22
189,802
Tags: binary search, number theory Correct Solution: ``` import math,bisect a,b=map(int,input().split()) gcd=math.gcd(a,b) arr=[i for i in range(1,int(math.sqrt(gcd))+1) if gcd%i==0] for i in arr[::-1]:arr.append(gcd//i) for _ in range(int(input())): l,h=map(int,input().split()) idx=bisect.bisect(arr,h)-1 ...
output
1
94,901
22
189,803
Provide tags and a correct Python 3 solution for this coding contest problem. Well, here is another math class task. In mathematics, GCD is the greatest common divisor, and it's an easy task to calculate the GCD between two positive integers. A common divisor for two positive numbers is a number which both numbers ar...
instruction
0
94,902
22
189,804
Tags: binary search, number theory Correct Solution: ``` def make_divisors(n): divisors = [] for i in range(1, int(n**0.5)+1): if n % i == 0: divisors.append(i) if i != n // i: divisors.append(n//i) divisors.sort() return divisors a, b = map(int, input()...
output
1
94,902
22
189,805
Provide tags and a correct Python 3 solution for this coding contest problem. Well, here is another math class task. In mathematics, GCD is the greatest common divisor, and it's an easy task to calculate the GCD between two positive integers. A common divisor for two positive numbers is a number which both numbers ar...
instruction
0
94,903
22
189,806
Tags: binary search, number theory Correct Solution: ``` from functools import reduce import io,os,sys,math def binarySearchkeeb(data,target,low,high): if low > high: return high else: mid=(low+high)//2 if data[mid] <=target: return binarySearchkeeb(data,target,mid+1,high) ...
output
1
94,903
22
189,807
Provide tags and a correct Python 3 solution for this coding contest problem. Well, here is another math class task. In mathematics, GCD is the greatest common divisor, and it's an easy task to calculate the GCD between two positive integers. A common divisor for two positive numbers is a number which both numbers ar...
instruction
0
94,904
22
189,808
Tags: binary search, number theory Correct Solution: ``` # import sys # sys.stdin = open("input.in","r") from sys import stdin input = stdin.readline from heapq import heapify,heappush,heappop,heappushpop from collections import defaultdict as dd, deque as dq,Counter as C from math import factorial as f ,ceil,gcd,sqrt...
output
1
94,904
22
189,809
Provide tags and a correct Python 3 solution for this coding contest problem. Well, here is another math class task. In mathematics, GCD is the greatest common divisor, and it's an easy task to calculate the GCD between two positive integers. A common divisor for two positive numbers is a number which both numbers ar...
instruction
0
94,905
22
189,810
Tags: binary search, number theory Correct Solution: ``` from math import gcd from bisect import bisect a,b=map(int,input().split()) d=gcd(a,b) c=int(d**0.5) m=[] for i in range(1,c+1): if d%i==0: m.append(i) m.append(d//i) m.sort() n=int(input()) for i in range(n): c,d=map(int,input().split()...
output
1
94,905
22
189,811
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Well, here is another math class task. In mathematics, GCD is the greatest common divisor, and it's an easy task to calculate the GCD between two positive integers. A common divisor for two pos...
instruction
0
94,906
22
189,812
Yes
output
1
94,906
22
189,813
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Well, here is another math class task. In mathematics, GCD is the greatest common divisor, and it's an easy task to calculate the GCD between two positive integers. A common divisor for two pos...
instruction
0
94,907
22
189,814
Yes
output
1
94,907
22
189,815
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Well, here is another math class task. In mathematics, GCD is the greatest common divisor, and it's an easy task to calculate the GCD between two positive integers. A common divisor for two pos...
instruction
0
94,908
22
189,816
Yes
output
1
94,908
22
189,817
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Well, here is another math class task. In mathematics, GCD is the greatest common divisor, and it's an easy task to calculate the GCD between two positive integers. A common divisor for two pos...
instruction
0
94,909
22
189,818
Yes
output
1
94,909
22
189,819
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Well, here is another math class task. In mathematics, GCD is the greatest common divisor, and it's an easy task to calculate the GCD between two positive integers. A common divisor for two pos...
instruction
0
94,910
22
189,820
No
output
1
94,910
22
189,821