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
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are n positive integers a_1, a_2, ..., a_n. For the one move you can choose any even value c and divide by two all elements that equal c. For example, if a=[6,8,12,6,3,12] and you choose ...
instruction
0
96,248
22
192,496
Yes
output
1
96,248
22
192,497
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are n positive integers a_1, a_2, ..., a_n. For the one move you can choose any even value c and divide by two all elements that equal c. For example, if a=[6,8,12,6,3,12] and you choose ...
instruction
0
96,249
22
192,498
No
output
1
96,249
22
192,499
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are n positive integers a_1, a_2, ..., a_n. For the one move you can choose any even value c and divide by two all elements that equal c. For example, if a=[6,8,12,6,3,12] and you choose ...
instruction
0
96,250
22
192,500
No
output
1
96,250
22
192,501
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are n positive integers a_1, a_2, ..., a_n. For the one move you can choose any even value c and divide by two all elements that equal c. For example, if a=[6,8,12,6,3,12] and you choose ...
instruction
0
96,251
22
192,502
No
output
1
96,251
22
192,503
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are n positive integers a_1, a_2, ..., a_n. For the one move you can choose any even value c and divide by two all elements that equal c. For example, if a=[6,8,12,6,3,12] and you choose ...
instruction
0
96,252
22
192,504
No
output
1
96,252
22
192,505
Provide tags and a correct Python 3 solution for this coding contest problem. Johnny has just found the new, great tutorial: "How to become a grandmaster?". The tutorial tells many strange and unexpected for Johnny things, such as you have to be patient or that very important is solving many harder and harder problems...
instruction
0
96,276
22
192,552
Tags: greedy, implementation, math, sortings Correct Solution: ``` import sys input = sys.stdin.readline for f in range(int(input())): n,p=map(int,input().split()) k=list(map(int,input().split())) mod=1000000007 k.sort(reverse=True) left=-1 right={} for x in k: if left==-1: ...
output
1
96,276
22
192,553
Provide tags and a correct Python 3 solution for this coding contest problem. Johnny has just found the new, great tutorial: "How to become a grandmaster?". The tutorial tells many strange and unexpected for Johnny things, such as you have to be patient or that very important is solving many harder and harder problems...
instruction
0
96,277
22
192,554
Tags: greedy, implementation, math, sortings Correct Solution: ``` import sys readline = sys.stdin.readline T = int(readline()) Ans = [None]*T MOD = 10**9+7 mod = 10**9+9 for qu in range(T): N, P = map(int, readline().split()) A = list(map(int, readline().split())) if P == 1: if N&1: An...
output
1
96,277
22
192,555
Provide tags and a correct Python 3 solution for this coding contest problem. Johnny has just found the new, great tutorial: "How to become a grandmaster?". The tutorial tells many strange and unexpected for Johnny things, such as you have to be patient or that very important is solving many harder and harder problems...
instruction
0
96,278
22
192,556
Tags: greedy, implementation, math, sortings Correct Solution: ``` #!/usr/bin/env python3 import sys input = sys.stdin.readline MOD = 10**9 + 7 t = int(input()) for _ in range(t): n, p = map(int, input().split()) k = [int(item) for item in input().split()] if p == 1: print(n % 2) continue ...
output
1
96,278
22
192,557
Provide tags and a correct Python 3 solution for this coding contest problem. Johnny has just found the new, great tutorial: "How to become a grandmaster?". The tutorial tells many strange and unexpected for Johnny things, such as you have to be patient or that very important is solving many harder and harder problems...
instruction
0
96,279
22
192,558
Tags: greedy, implementation, math, sortings Correct Solution: ``` from sys import stdin, stdout import math from collections import defaultdict def main(): MOD7 = 1000000007 t = int(stdin.readline()) pw = [0] * 21 for w in range(20,-1,-1): pw[w] = int(math.pow(2,w)) for ks in range(t): ...
output
1
96,279
22
192,559
Provide tags and a correct Python 3 solution for this coding contest problem. Johnny has just found the new, great tutorial: "How to become a grandmaster?". The tutorial tells many strange and unexpected for Johnny things, such as you have to be patient or that very important is solving many harder and harder problems...
instruction
0
96,280
22
192,560
Tags: greedy, implementation, math, sortings Correct Solution: ``` import os,io input=io.BytesIO(os.read(0,os.fstat(0).st_size)).readline def fastExponentiation(a,b,N): # Calculates a^b mod N in log b time ans = 1 bDiv2 = b aPow2 = a while bDiv2 > 0: if bDiv2 % 2 != 0: ans *= aPow2 ...
output
1
96,280
22
192,561
Provide tags and a correct Python 3 solution for this coding contest problem. Johnny has just found the new, great tutorial: "How to become a grandmaster?". The tutorial tells many strange and unexpected for Johnny things, such as you have to be patient or that very important is solving many harder and harder problems...
instruction
0
96,281
22
192,562
Tags: greedy, implementation, math, sortings Correct Solution: ``` import sys input=sys.stdin.buffer.readline mod=10**9+7 for _ in range(int(input())): n,p=map(int,input().split()) limit=0 temp=1 if p==1: k=list(map(int,input().split())) print(n%2) continue while 10**7>=tem...
output
1
96,281
22
192,563
Provide tags and a correct Python 3 solution for this coding contest problem. Johnny has just found the new, great tutorial: "How to become a grandmaster?". The tutorial tells many strange and unexpected for Johnny things, such as you have to be patient or that very important is solving many harder and harder problems...
instruction
0
96,282
22
192,564
Tags: greedy, implementation, math, sortings Correct Solution: ``` # ------------------- fast io -------------------- import os import sys from io import BytesIO, IOBase BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO...
output
1
96,282
22
192,565
Provide tags and a correct Python 3 solution for this coding contest problem. Johnny has just found the new, great tutorial: "How to become a grandmaster?". The tutorial tells many strange and unexpected for Johnny things, such as you have to be patient or that very important is solving many harder and harder problems...
instruction
0
96,283
22
192,566
Tags: greedy, implementation, math, sortings Correct Solution: ``` import sys input = sys.stdin.readline mod=1000000007 t=int(input()) for tests in range(t): n,p=map(int,input().split()) K=sorted(map(int,input().split()),reverse=True) if p==1: if n%2==0: print(0) else: ...
output
1
96,283
22
192,567
Provide tags and a correct Python 3 solution for this coding contest problem. Let us call two integers x and y adjacent if (lcm(x, y))/(gcd(x, y)) is a perfect square. For example, 3 and 12 are adjacent, but 6 and 9 are not. Here gcd(x, y) denotes the [greatest common divisor (GCD)](https://en.wikipedia.org/wiki/Grea...
instruction
0
96,340
22
192,680
Tags: bitmasks, graphs, hashing, math, number theory Correct Solution: ``` import os,io input=io.BytesIO(os.read(0,os.fstat(0).st_size)).readline primes=[] for i in range(2,1001): flag=0 for j in range(2,i): if i%j==0: flag=1 break if flag==0: primes.append(i) t=int(input()) for _ in range(t):...
output
1
96,340
22
192,681
Provide tags and a correct Python 3 solution for this coding contest problem. Let us call two integers x and y adjacent if (lcm(x, y))/(gcd(x, y)) is a perfect square. For example, 3 and 12 are adjacent, but 6 and 9 are not. Here gcd(x, y) denotes the [greatest common divisor (GCD)](https://en.wikipedia.org/wiki/Grea...
instruction
0
96,341
22
192,682
Tags: bitmasks, graphs, hashing, math, number theory Correct Solution: ``` # ------------------- fast io -------------------- import os import sys from io import BytesIO, IOBase BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer =...
output
1
96,341
22
192,683
Provide tags and a correct Python 3 solution for this coding contest problem. Let us call two integers x and y adjacent if (lcm(x, y))/(gcd(x, y)) is a perfect square. For example, 3 and 12 are adjacent, but 6 and 9 are not. Here gcd(x, y) denotes the [greatest common divisor (GCD)](https://en.wikipedia.org/wiki/Grea...
instruction
0
96,342
22
192,684
Tags: bitmasks, graphs, hashing, math, number theory Correct Solution: ``` import os import sys from io import BytesIO, IOBase # region fastio BUFSIZE = 8192 class FastIO(IOBase): def __init__(self, file): self.newlines = 0 self._fd = file.fileno() self.buffer = BytesIO() self.writab...
output
1
96,342
22
192,685
Provide tags and a correct Python 3 solution for this coding contest problem. Let us call two integers x and y adjacent if (lcm(x, y))/(gcd(x, y)) is a perfect square. For example, 3 and 12 are adjacent, but 6 and 9 are not. Here gcd(x, y) denotes the [greatest common divisor (GCD)](https://en.wikipedia.org/wiki/Grea...
instruction
0
96,343
22
192,686
Tags: bitmasks, graphs, hashing, math, number theory Correct Solution: ``` import math,sys #from itertools import permutations, combinations;import heapq,random; from collections import defaultdict,deque import bisect as bi def yes():print('YES') def no():print('NO') #sys.stdin=open('input.txt','r');sys.stdout=open('ou...
output
1
96,343
22
192,687
Provide tags and a correct Python 3 solution for this coding contest problem. Let us call two integers x and y adjacent if (lcm(x, y))/(gcd(x, y)) is a perfect square. For example, 3 and 12 are adjacent, but 6 and 9 are not. Here gcd(x, y) denotes the [greatest common divisor (GCD)](https://en.wikipedia.org/wiki/Grea...
instruction
0
96,344
22
192,688
Tags: bitmasks, graphs, hashing, math, number theory Correct Solution: ``` import sys, io, os input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline MAX = 10 ** 6 + 5 find = list(range(MAX)) for i in range(1,1001): for j in range(0,MAX,i*i): find[j] = j//i//i t = int(input()) out = [] for _ ...
output
1
96,344
22
192,689
Provide tags and a correct Python 3 solution for this coding contest problem. Let us call two integers x and y adjacent if (lcm(x, y))/(gcd(x, y)) is a perfect square. For example, 3 and 12 are adjacent, but 6 and 9 are not. Here gcd(x, y) denotes the [greatest common divisor (GCD)](https://en.wikipedia.org/wiki/Grea...
instruction
0
96,345
22
192,690
Tags: bitmasks, graphs, hashing, math, number theory Correct Solution: ``` from sys import stdin T = int(stdin.readline()) dct = {i:i for i in range(1000001)} for i in range(2, 1001): for j in range(1, (10 ** 6) // (i ** 2) + 1): dct[(i**2)*j] = j for _ in range(T): n = int(stdin.readline()) ...
output
1
96,345
22
192,691
Provide tags and a correct Python 3 solution for this coding contest problem. Let us call two integers x and y adjacent if (lcm(x, y))/(gcd(x, y)) is a perfect square. For example, 3 and 12 are adjacent, but 6 and 9 are not. Here gcd(x, y) denotes the [greatest common divisor (GCD)](https://en.wikipedia.org/wiki/Grea...
instruction
0
96,346
22
192,692
Tags: bitmasks, graphs, hashing, math, number theory Correct Solution: ``` import sys input = lambda: sys.stdin.readline().rstrip() def gcd(a, b): while b: a, b = b, a % b return a def isPrimeMR(n): d = n - 1 d = d // (d & -d) L = [2, 7, 61] if n < 1<<32 else [2, 3, 5, 7, 11, 13, 17] if n < 1<<48 e...
output
1
96,346
22
192,693
Provide tags and a correct Python 3 solution for this coding contest problem. Let us call two integers x and y adjacent if (lcm(x, y))/(gcd(x, y)) is a perfect square. For example, 3 and 12 are adjacent, but 6 and 9 are not. Here gcd(x, y) denotes the [greatest common divisor (GCD)](https://en.wikipedia.org/wiki/Grea...
instruction
0
96,347
22
192,694
Tags: bitmasks, graphs, hashing, math, number theory Correct Solution: ``` from sys import stdin dct = {i:i for i in range(1000001)} for i in range(2, 1001): for j in range(1, (10 ** 6) // (i ** 2) + 1): dct[(i ** 2) * j] = j t = int(stdin.readline()) for _ in range(t): n = int(stdin.readline()) elements = map(int...
output
1
96,347
22
192,695
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us call two integers x and y adjacent if (lcm(x, y))/(gcd(x, y)) is a perfect square. For example, 3 and 12 are adjacent, but 6 and 9 are not. Here gcd(x, y) denotes the [greatest common di...
instruction
0
96,348
22
192,696
Yes
output
1
96,348
22
192,697
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us call two integers x and y adjacent if (lcm(x, y))/(gcd(x, y)) is a perfect square. For example, 3 and 12 are adjacent, but 6 and 9 are not. Here gcd(x, y) denotes the [greatest common di...
instruction
0
96,349
22
192,698
Yes
output
1
96,349
22
192,699
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us call two integers x and y adjacent if (lcm(x, y))/(gcd(x, y)) is a perfect square. For example, 3 and 12 are adjacent, but 6 and 9 are not. Here gcd(x, y) denotes the [greatest common di...
instruction
0
96,350
22
192,700
Yes
output
1
96,350
22
192,701
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us call two integers x and y adjacent if (lcm(x, y))/(gcd(x, y)) is a perfect square. For example, 3 and 12 are adjacent, but 6 and 9 are not. Here gcd(x, y) denotes the [greatest common di...
instruction
0
96,351
22
192,702
Yes
output
1
96,351
22
192,703
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us call two integers x and y adjacent if (lcm(x, y))/(gcd(x, y)) is a perfect square. For example, 3 and 12 are adjacent, but 6 and 9 are not. Here gcd(x, y) denotes the [greatest common di...
instruction
0
96,352
22
192,704
No
output
1
96,352
22
192,705
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us call two integers x and y adjacent if (lcm(x, y))/(gcd(x, y)) is a perfect square. For example, 3 and 12 are adjacent, but 6 and 9 are not. Here gcd(x, y) denotes the [greatest common di...
instruction
0
96,353
22
192,706
No
output
1
96,353
22
192,707
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us call two integers x and y adjacent if (lcm(x, y))/(gcd(x, y)) is a perfect square. For example, 3 and 12 are adjacent, but 6 and 9 are not. Here gcd(x, y) denotes the [greatest common di...
instruction
0
96,354
22
192,708
No
output
1
96,354
22
192,709
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us call two integers x and y adjacent if (lcm(x, y))/(gcd(x, y)) is a perfect square. For example, 3 and 12 are adjacent, but 6 and 9 are not. Here gcd(x, y) denotes the [greatest common di...
instruction
0
96,355
22
192,710
No
output
1
96,355
22
192,711
Provide tags and a correct Python 3 solution for this coding contest problem. Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n. Let us remind you the definition of the greatest common divisor: GCD(a1, ..., ak) = d, ...
instruction
0
96,599
22
193,198
Tags: constructive algorithms, math, number theory Correct Solution: ``` n = int(input()); if n==2: print(-1); exit(); MX = 1001; isp = [1 for i in range(0, MX)]; isp[0] = isp[1] = 0; primes = [] for i in range(2, MX): if (not isp[i]): continue; primes.append(i); for j in range(i*i, MX, i): isp[j] = 0; produc...
output
1
96,599
22
193,199
Provide tags and a correct Python 3 solution for this coding contest problem. Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n. Let us remind you the definition of the greatest common divisor: GCD(a1, ..., ak) = d, ...
instruction
0
96,600
22
193,200
Tags: constructive algorithms, math, number theory Correct Solution: ``` p = [True] * 230 i = 2 while i*i <= len(p): if p[i]: for j in range(i+i, len(p), i): p[j] = False i += 1 p = [i for i in range(2, len(p)) if p[i]] n = int(input()) if n == 2: print(-1) else: x = 1 for i in ...
output
1
96,600
22
193,201
Provide tags and a correct Python 3 solution for this coding contest problem. Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n. Let us remind you the definition of the greatest common divisor: GCD(a1, ..., ak) = d, ...
instruction
0
96,601
22
193,202
Tags: constructive algorithms, math, number theory Correct Solution: ``` def isPrime(n): if n == 1: return False for i in range(2, n): if n%i == 0: return False return True primes = [] for i in range(2, 1000): if isPrime(i): primes.append(i) if len(primes) == 50: break n = int(input()) if n == 2: pr...
output
1
96,601
22
193,203
Provide tags and a correct Python 3 solution for this coding contest problem. Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n. Let us remind you the definition of the greatest common divisor: GCD(a1, ..., ak) = d, ...
instruction
0
96,602
22
193,204
Tags: constructive algorithms, math, number theory Correct Solution: ``` st = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251,...
output
1
96,602
22
193,205
Provide tags and a correct Python 3 solution for this coding contest problem. Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n. Let us remind you the definition of the greatest common divisor: GCD(a1, ..., ak) = d, ...
instruction
0
96,603
22
193,206
Tags: constructive algorithms, math, number theory Correct Solution: ``` #!/usr/bin/env python3 primes = [] def sieve(n): isPrime = [True for i in range(n+1)] primes.append(2) for i in range(4, n + 1, 2): isPrime[i] = False for i in range(3, n + 1, 2): if (isPrime[i]): prim...
output
1
96,603
22
193,207
Provide tags and a correct Python 3 solution for this coding contest problem. Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n. Let us remind you the definition of the greatest common divisor: GCD(a1, ..., ak) = d, ...
instruction
0
96,604
22
193,208
Tags: constructive algorithms, math, number theory Correct Solution: ``` def main(): n = int(input()) if n == 2: print(-1) return primes = [] for i in range(2, 10000): ok = True for j in range(2, i): if j * j > i: break; if i % j ...
output
1
96,604
22
193,209
Provide tags and a correct Python 3 solution for this coding contest problem. Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n. Let us remind you the definition of the greatest common divisor: GCD(a1, ..., ak) = d, ...
instruction
0
96,605
22
193,210
Tags: constructive algorithms, math, number theory Correct Solution: ``` def main(): SIZE = 100000 sieve = [True]*SIZE p = list() for it1 in range(2,SIZE): if sieve[it1]: for it2 in range(it1*it1,SIZE,it1): sieve[it2] = False p.append(it1) n = int(inpu...
output
1
96,605
22
193,211
Provide tags and a correct Python 3 solution for this coding contest problem. Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n. Let us remind you the definition of the greatest common divisor: GCD(a1, ..., ak) = d, ...
instruction
0
96,606
22
193,212
Tags: constructive algorithms, math, number theory Correct Solution: ``` a=[] for i in range(2,1000): pr=1 for j in range(2,i): if(i%j==0): pr=0 if pr == 1: a.append(i) def gcd(x,y): if(y==0): return x return gcd(y,x%y) cur=1 n=int(input()) if(n==2): print(-1) exit() for i in range(n): #print(a[i]) ...
output
1
96,606
22
193,213
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n. Let us remind you the definition of the ...
instruction
0
96,607
22
193,214
Yes
output
1
96,607
22
193,215
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n. Let us remind you the definition of the ...
instruction
0
96,608
22
193,216
Yes
output
1
96,608
22
193,217
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n. Let us remind you the definition of the ...
instruction
0
96,609
22
193,218
Yes
output
1
96,609
22
193,219
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n. Let us remind you the definition of the ...
instruction
0
96,610
22
193,220
Yes
output
1
96,610
22
193,221
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n. Let us remind you the definition of the ...
instruction
0
96,611
22
193,222
No
output
1
96,611
22
193,223
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n. Let us remind you the definition of the ...
instruction
0
96,612
22
193,224
No
output
1
96,612
22
193,225
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n. Let us remind you the definition of the ...
instruction
0
96,613
22
193,226
No
output
1
96,613
22
193,227
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n. Let us remind you the definition of the ...
instruction
0
96,614
22
193,228
No
output
1
96,614
22
193,229
Provide a correct Python 3 solution for this coding contest problem. You are given integers N and M. Consider a sequence a of length N consisting of positive integers such that a_1 + a_2 + ... + a_N = M. Find the maximum possible value of the greatest common divisor of a_1, a_2, ..., a_N. Constraints * All values i...
instruction
0
97,671
22
195,342
"Correct Solution: ``` import math N, M = [int(i) for i in input().split()] for i in range(M//N, 0, -1): if M % i == 0: print(i) break ```
output
1
97,671
22
195,343
Provide a correct Python 3 solution for this coding contest problem. You are given integers N and M. Consider a sequence a of length N consisting of positive integers such that a_1 + a_2 + ... + a_N = M. Find the maximum possible value of the greatest common divisor of a_1, a_2, ..., a_N. Constraints * All values i...
instruction
0
97,672
22
195,344
"Correct Solution: ``` N,M=map(int,input().split()) ans=0 for i in range(1,int(M**0.5)+1): if M%i==0: if M/i>=N: ans=max(ans,i) if i>=N: ans=max(ans,M//i) print(ans) ```
output
1
97,672
22
195,345
Provide a correct Python 3 solution for this coding contest problem. You are given integers N and M. Consider a sequence a of length N consisting of positive integers such that a_1 + a_2 + ... + a_N = M. Find the maximum possible value of the greatest common divisor of a_1, a_2, ..., a_N. Constraints * All values i...
instruction
0
97,673
22
195,346
"Correct Solution: ``` n, m = list(map(int, input().split(" "))) ds = [x for x in range(1, int(m**.5)+1) if m%x==0] ds = ds + [m//x for x in ds] ds = [x for x in ds if x<=m//n] print(max(ds)) ```
output
1
97,673
22
195,347
Provide a correct Python 3 solution for this coding contest problem. You are given integers N and M. Consider a sequence a of length N consisting of positive integers such that a_1 + a_2 + ... + a_N = M. Find the maximum possible value of the greatest common divisor of a_1, a_2, ..., a_N. Constraints * All values i...
instruction
0
97,674
22
195,348
"Correct Solution: ``` N,M=map(int,input().split()) a=1 for i in range(1,4*10000): if M%i: continue if M//i>=N and i>a: a=i if i>=N and M//i>a: a=M//i print(a) ```
output
1
97,674
22
195,349
Provide a correct Python 3 solution for this coding contest problem. You are given integers N and M. Consider a sequence a of length N consisting of positive integers such that a_1 + a_2 + ... + a_N = M. Find the maximum possible value of the greatest common divisor of a_1, a_2, ..., a_N. Constraints * All values i...
instruction
0
97,675
22
195,350
"Correct Solution: ``` from math import sqrt N, M = map(int, input().split()) ans = max(M // i if M // i <= M / N else i for i in range(1, int(sqrt(M)) + 1) if M % i == 0 and i <= M / N) print(ans) ```
output
1
97,675
22
195,351