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Provide tags and a correct Python 3 solution for this coding contest problem. Calculate the value of the sum: n mod 1 + n mod 2 + n mod 3 + ... + n mod m. As the result can be very large, you should print the value modulo 109 + 7 (the remainder when divided by 109 + 7). The modulo operator a mod b stands for the rema...
instruction
0
23,332
22
46,664
Tags: implementation, math, number theory Correct Solution: ``` import math MOD = int( 1e9 + 7 ) N, M = map( int, input().split() ) sn = int( math.sqrt( N ) ) ans = N * M % MOD for i in range( 1, min( sn, M ) + 1, 1 ): ans -= N // i * i ans %= MOD if N // ( sn + 1 ) > M: exit( print( ans ) ) def s( x ): retur...
output
1
23,332
22
46,665
Provide tags and a correct Python 3 solution for this coding contest problem. Calculate the value of the sum: n mod 1 + n mod 2 + n mod 3 + ... + n mod m. As the result can be very large, you should print the value modulo 109 + 7 (the remainder when divided by 109 + 7). The modulo operator a mod b stands for the rema...
instruction
0
23,333
22
46,666
Tags: implementation, math, number theory Correct Solution: ``` from math import sqrt n, m = map(int, input().split()) t = min(int(sqrt(n))+1, m) i = 2 mod = 10**9 + 7 ans = 0 while i <= t: ans += n % i i += 1 ans %= mod i = t + 1 while i <= min(n, m): d = n // i t = min(m, n // d) cnt = t - i + ...
output
1
23,333
22
46,667
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. While Vasya finished eating his piece of pizza, the lesson has already started. For being late for the lesson, the teacher suggested Vasya to solve one interesting problem. Vasya has an array a ...
instruction
0
23,487
22
46,974
Yes
output
1
23,487
22
46,975
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. While Vasya finished eating his piece of pizza, the lesson has already started. For being late for the lesson, the teacher suggested Vasya to solve one interesting problem. Vasya has an array a ...
instruction
0
23,488
22
46,976
Yes
output
1
23,488
22
46,977
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. While Vasya finished eating his piece of pizza, the lesson has already started. For being late for the lesson, the teacher suggested Vasya to solve one interesting problem. Vasya has an array a ...
instruction
0
23,492
22
46,984
No
output
1
23,492
22
46,985
Provide a correct Python 3 solution for this coding contest problem. A prime number is an integer that is greater than 1 and can only be divided by itself or 1. For example, 2 is a prime number because it is divisible only by 2 and 1, but 12 is not a prime number because it is divisible by 2, 3, 4, 6 in addition to 12...
instruction
0
23,708
22
47,416
"Correct Solution: ``` p = [1] * (100000 + 1) p[0], p[1] = 0, 0 for i in range(2, int(100000 ** 0.5) + 1): if not p[i]: continue for j in range(2 * i, 100000 + 1, i): p[j] = 0 while 1: try: n = int(input()) bp, ap = 0, 0 for i in range(n)[::-1]: if p[i] =...
output
1
23,708
22
47,417
Provide a correct Python 3 solution for this coding contest problem. A prime number is an integer that is greater than 1 and can only be divided by itself or 1. For example, 2 is a prime number because it is divisible only by 2 and 1, but 12 is not a prime number because it is divisible by 2, 3, 4, 6 in addition to 12...
instruction
0
23,709
22
47,418
"Correct Solution: ``` is_prime = [False,False] for i in range(2,1000000): is_prime.append(True) for i in range(2,1000000): if is_prime[i]: for j in range(i*i,1000000,i): is_prime[j] = False while 1: try: a = int(0) b = int(0) n = int(input()) for i in ...
output
1
23,709
22
47,419
Provide a correct Python 3 solution for this coding contest problem. A prime number is an integer that is greater than 1 and can only be divided by itself or 1. For example, 2 is a prime number because it is divisible only by 2 and 1, but 12 is not a prime number because it is divisible by 2, 3, 4, 6 in addition to 12...
instruction
0
23,710
22
47,420
"Correct Solution: ``` MAX = 60000 lst = [i for i in range(MAX)] lst[0] = lst[1] = 0 for i in range(MAX): if lst[i] != 0: for j in range(i * 2, MAX, i): lst[j] = 0 while 0 == 0: try: n = int(input()) i = n - 1 j = n + 1 while lst[i] == 0: i -= 1 while lst[j] == 0: j += 1 ...
output
1
23,710
22
47,421
Provide a correct Python 3 solution for this coding contest problem. A prime number is an integer that is greater than 1 and can only be divided by itself or 1. For example, 2 is a prime number because it is divisible only by 2 and 1, but 12 is not a prime number because it is divisible by 2, 3, 4, 6 in addition to 12...
instruction
0
23,711
22
47,422
"Correct Solution: ``` import math isPrime = [True] * 60001 primes = [] def eratos(n): isPrime[0] = isPrime[1] = False for i in range(2,int(math.sqrt(n))): if isPrime[i]: j = 2 * i while j <= n: isPrime[j] = False j = j + i for i in range(2,60...
output
1
23,711
22
47,423
Provide a correct Python 3 solution for this coding contest problem. A prime number is an integer that is greater than 1 and can only be divided by itself or 1. For example, 2 is a prime number because it is divisible only by 2 and 1, but 12 is not a prime number because it is divisible by 2, 3, 4, 6 in addition to 12...
instruction
0
23,712
22
47,424
"Correct Solution: ``` import math def first_try(num): list=[2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67] i=0 tmp=int(math.sqrt(num)) while True: if num in list: return True #その数を超えたら終了 if list[i]>tmp or i==len(list)-1: return True ...
output
1
23,712
22
47,425
Provide a correct Python 3 solution for this coding contest problem. A prime number is an integer that is greater than 1 and can only be divided by itself or 1. For example, 2 is a prime number because it is divisible only by 2 and 1, but 12 is not a prime number because it is divisible by 2, 3, 4, 6 in addition to 12...
instruction
0
23,713
22
47,426
"Correct Solution: ``` pr=[True]*50100 for i in range(2,225): if pr[i]: for j in range(i*2,50100,i): pr[j]=False while True: try: n=int(input()) except: break for i in range(n-1,0,-1): if pr[i]: print(i,end=" ") break for i in rang...
output
1
23,713
22
47,427
Provide a correct Python 3 solution for this coding contest problem. A prime number is an integer that is greater than 1 and can only be divided by itself or 1. For example, 2 is a prime number because it is divisible only by 2 and 1, but 12 is not a prime number because it is divisible by 2, 3, 4, 6 in addition to 12...
instruction
0
23,714
22
47,428
"Correct Solution: ``` import bisect MAX = 50050 #エラトステネスの篩 is_prime = [True for _ in range(MAX)] is_prime[0] = is_prime[1] = False for i in range(2, int(MAX ** (1 / 2)) + 1): if is_prime[i]: for j in range(i ** 2, MAX, i): is_prime[j] = False primes = [i for i in range(MAX) if is_prime[i]] while True: ...
output
1
23,714
22
47,429
Provide a correct Python 3 solution for this coding contest problem. A prime number is an integer that is greater than 1 and can only be divided by itself or 1. For example, 2 is a prime number because it is divisible only by 2 and 1, but 12 is not a prime number because it is divisible by 2, 3, 4, 6 in addition to 12...
instruction
0
23,715
22
47,430
"Correct Solution: ``` from math import sqrt, ceil N = 53000 temp = [True]*(N+1) temp[0] = temp[1] = False for i in range(2, ceil(sqrt(N+1))): if temp[i]: temp[i+i::i] = [False]*(len(temp[i+i::i])) while True: try: n = int(input()) print(n-1-temp[n-1:0:-1].index(True), n+1+temp[n+1:].i...
output
1
23,715
22
47,431
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A prime number is an integer that is greater than 1 and can only be divided by itself or 1. For example, 2 is a prime number because it is divisible only by 2 and 1, but 12 is not a prime number...
instruction
0
23,716
22
47,432
Yes
output
1
23,716
22
47,433
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A prime number is an integer that is greater than 1 and can only be divided by itself or 1. For example, 2 is a prime number because it is divisible only by 2 and 1, but 12 is not a prime number...
instruction
0
23,717
22
47,434
Yes
output
1
23,717
22
47,435
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A prime number is an integer that is greater than 1 and can only be divided by itself or 1. For example, 2 is a prime number because it is divisible only by 2 and 1, but 12 is not a prime number...
instruction
0
23,718
22
47,436
Yes
output
1
23,718
22
47,437
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A prime number is an integer that is greater than 1 and can only be divided by itself or 1. For example, 2 is a prime number because it is divisible only by 2 and 1, but 12 is not a prime number...
instruction
0
23,719
22
47,438
Yes
output
1
23,719
22
47,439
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A prime number is an integer that is greater than 1 and can only be divided by itself or 1. For example, 2 is a prime number because it is divisible only by 2 and 1, but 12 is not a prime number...
instruction
0
23,720
22
47,440
No
output
1
23,720
22
47,441
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A prime number is an integer that is greater than 1 and can only be divided by itself or 1. For example, 2 is a prime number because it is divisible only by 2 and 1, but 12 is not a prime number...
instruction
0
23,721
22
47,442
No
output
1
23,721
22
47,443
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A prime number is an integer that is greater than 1 and can only be divided by itself or 1. For example, 2 is a prime number because it is divisible only by 2 and 1, but 12 is not a prime number...
instruction
0
23,722
22
47,444
No
output
1
23,722
22
47,445
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A prime number is an integer that is greater than 1 and can only be divided by itself or 1. For example, 2 is a prime number because it is divisible only by 2 and 1, but 12 is not a prime number...
instruction
0
23,723
22
47,446
No
output
1
23,723
22
47,447
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a integer n (n > 0). Find any integer s which satisfies these conditions, or report that there are no such numbers: In the decimal representation of s: * s > 0, * s consists of n digits, * no digit in s equals 0, ...
instruction
0
23,955
22
47,910
Tags: constructive algorithms, number theory Correct Solution: ``` t=int(input()) for _ in range(t): n=int(input()) if(n==1): print("-1") else: if n==2: print(49) else: print("9"*(n-2)+"49") ```
output
1
23,955
22
47,911
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a integer n (n > 0). Find any integer s which satisfies these conditions, or report that there are no such numbers: In the decimal representation of s: * s > 0, * s consists of n digits, * no digit in s equals 0, ...
instruction
0
23,956
22
47,912
Tags: constructive algorithms, number theory Correct Solution: ``` def solve(n): if n == 1: return -1 return "2" + "3" * (n - 1) t = int(input()) for i in range(t): n = int(input()) y = solve(n) print(y) ```
output
1
23,956
22
47,913
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a integer n (n > 0). Find any integer s which satisfies these conditions, or report that there are no such numbers: In the decimal representation of s: * s > 0, * s consists of n digits, * no digit in s equals 0, ...
instruction
0
23,957
22
47,914
Tags: constructive algorithms, number theory Correct Solution: ``` import sys input = lambda: sys.stdin.readline().rstrip() for i in range(int(input())): a = int(input()) if a == 1: print(-1) else: if 2 * (a-1)% 3 == 0: print("2" * (a-2) + "7" + "3") else: ...
output
1
23,957
22
47,915
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a integer n (n > 0). Find any integer s which satisfies these conditions, or report that there are no such numbers: In the decimal representation of s: * s > 0, * s consists of n digits, * no digit in s equals 0, ...
instruction
0
23,958
22
47,916
Tags: constructive algorithms, number theory Correct Solution: ``` def main(): for i in range(int(input())): lst=int(input()) if lst == 1: print(-1) else: print(10**lst -2) main() ```
output
1
23,958
22
47,917
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a integer n (n > 0). Find any integer s which satisfies these conditions, or report that there are no such numbers: In the decimal representation of s: * s > 0, * s consists of n digits, * no digit in s equals 0, ...
instruction
0
23,959
22
47,918
Tags: constructive algorithms, number theory Correct Solution: ``` for tes in range(int(input())): n=int(input()) if n<=1: print('-1') else: t='5'+'3'*(n-1) print(t) ```
output
1
23,959
22
47,919
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a integer n (n > 0). Find any integer s which satisfies these conditions, or report that there are no such numbers: In the decimal representation of s: * s > 0, * s consists of n digits, * no digit in s equals 0, ...
instruction
0
23,960
22
47,920
Tags: constructive algorithms, number theory Correct Solution: ``` def solver(n): if n == 1: return -1 if n == 2: return 98 result = "98" for _ in range(n-2): result = result + "9" return result N = input() for _ in range(int(N)): n = input() print(solver...
output
1
23,960
22
47,921
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a integer n (n > 0). Find any integer s which satisfies these conditions, or report that there are no such numbers: In the decimal representation of s: * s > 0, * s consists of n digits, * no digit in s equals 0, ...
instruction
0
23,961
22
47,922
Tags: constructive algorithms, number theory Correct Solution: ``` tc = int(input()) import math for _ in range(tc): x = int(input()) if x == 1: print(-1) else: ans = "2" for i in range(x-1): ans+="3" print(ans) ```
output
1
23,961
22
47,923
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a integer n (n > 0). Find any integer s which satisfies these conditions, or report that there are no such numbers: In the decimal representation of s: * s > 0, * s consists of n digits, * no digit in s equals 0, ...
instruction
0
23,962
22
47,924
Tags: constructive algorithms, number theory Correct Solution: ``` for t in range(int(input())): n = int(input()) if n==1: print(-1) continue print('2' + ('3'*(n-1))) ```
output
1
23,962
22
47,925
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a integer n (n > 0). Find any integer s which satisfies these conditions, or report that there are no such numbers: In the decimal representation of s: * s > 0, * s consist...
instruction
0
23,963
22
47,926
Yes
output
1
23,963
22
47,927
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a integer n (n > 0). Find any integer s which satisfies these conditions, or report that there are no such numbers: In the decimal representation of s: * s > 0, * s consist...
instruction
0
23,964
22
47,928
Yes
output
1
23,964
22
47,929
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a integer n (n > 0). Find any integer s which satisfies these conditions, or report that there are no such numbers: In the decimal representation of s: * s > 0, * s consist...
instruction
0
23,965
22
47,930
Yes
output
1
23,965
22
47,931
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a integer n (n > 0). Find any integer s which satisfies these conditions, or report that there are no such numbers: In the decimal representation of s: * s > 0, * s consist...
instruction
0
23,968
22
47,936
No
output
1
23,968
22
47,937
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a integer n (n > 0). Find any integer s which satisfies these conditions, or report that there are no such numbers: In the decimal representation of s: * s > 0, * s consist...
instruction
0
23,969
22
47,938
No
output
1
23,969
22
47,939
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n positive integers a_1, …, a_n, and an integer k ≥ 2. Count the number of pairs i, j such that 1 ≤ i < j ≤ n, and there exists an integer x such that a_i ⋅ a_j = x^k. Input The first line contains two integers n and k (2 ≤ n...
instruction
0
24,863
22
49,726
Tags: hashing, math, number theory Correct Solution: ``` import math from collections import Counter n, k = map(int, input().split()) a = list(map(int, input().split())) ans = 0 prev = Counter() for x in a: sig = [] p = 2 while p <= math.sqrt(x): cnt = 0 while x % p == 0: cnt += 1 x = x // p cnt = ...
output
1
24,863
22
49,727
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n positive integers a_1, …, a_n, and an integer k ≥ 2. Count the number of pairs i, j such that 1 ≤ i < j ≤ n, and there exists an integer x such that a_i ⋅ a_j = x^k. Input The first line contains two integers n and k (2 ≤ n...
instruction
0
24,864
22
49,728
Tags: hashing, math, number theory Correct Solution: ``` n,k=map(int,input().split()) A=list(map(int,input().split())) import math from collections import Counter C=Counter() for x in A: L=int(math.sqrt(x)) FACT=dict() for i in range(2,L+2): while x%i==0: FACT[i]=FACT.get(i,0)...
output
1
24,864
22
49,729
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n positive integers a_1, …, a_n, and an integer k ≥ 2. Count the number of pairs i, j such that 1 ≤ i < j ≤ n, and there exists an integer x such that a_i ⋅ a_j = x^k. Input The first line contains two integers n and k (2 ≤ n...
instruction
0
24,865
22
49,730
Tags: hashing, math, number theory Correct Solution: ``` from collections import Counter as C NN = 100000 X = [-1] * (NN+1) L = [[] for _ in range(NN+1)] k = 2 while k <= NN: X[k] = 1 L[k].append(k) for i in range(k*2, NN+1, k): X[i] = 0 L[i].append(k) d = 2 while k**d <= NN: ...
output
1
24,865
22
49,731
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n positive integers a_1, …, a_n, and an integer k ≥ 2. Count the number of pairs i, j such that 1 ≤ i < j ≤ n, and there exists an integer x such that a_i ⋅ a_j = x^k. Input The first line contains two integers n and k (2 ≤ n...
instruction
0
24,866
22
49,732
Tags: hashing, math, number theory Correct Solution: ``` nmax = 400 eratos = [0 for i in range(nmax+1)] prime = [] cnt = 2 while True: while cnt <= nmax and eratos[cnt]: cnt += 1 if cnt > nmax: break eratos[cnt] = 1 prime.append(cnt) for i in range(cnt**2,nmax+1,cnt): eratos[i] = 1 from collection...
output
1
24,866
22
49,733
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n positive integers a_1, …, a_n, and an integer k ≥ 2. Count the number of pairs i, j such that 1 ≤ i < j ≤ n, and there exists an integer x such that a_i ⋅ a_j = x^k. Input The ...
instruction
0
24,868
22
49,736
No
output
1
24,868
22
49,737
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n positive integers a_1, …, a_n, and an integer k ≥ 2. Count the number of pairs i, j such that 1 ≤ i < j ≤ n, and there exists an integer x such that a_i ⋅ a_j = x^k. Input The ...
instruction
0
24,869
22
49,738
No
output
1
24,869
22
49,739
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a matrix a consisting of positive integers. It has n rows and m columns. Construct a matrix b consisting of positive integers. It should have the same size as a, and the following conditions should be met: * 1 ≤ b_{i,j} ≤ ...
instruction
0
24,984
22
49,968
Tags: constructive algorithms, graphs, math, number theory Correct Solution: ``` import math ans = [] n, m = map(int, input().split()) for _ in range(n): ans.append([720720 for i in range(m)]) for i in range(n): x = list(map(int, input().split())) for j in range(m): if (i + j)%2: ans[...
output
1
24,984
22
49,969
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a matrix a consisting of positive integers. It has n rows and m columns. Construct a matrix b consisting of positive integers. It should have the same size as a, and the following conditions should be met: * 1 ≤ b_{i,j} ≤ ...
instruction
0
24,985
22
49,970
Tags: constructive algorithms, graphs, math, number theory Correct Solution: ``` import sys #import re #sys.stdin=open('.in','r') #sys.stdout=open('.out','w') #import math #import queue #import random #sys.setrecursionlimit(int(1e6)) input = sys.stdin.readline ############ ---- USER DEFINED INPUT FUNCTIONS ---- ###...
output
1
24,985
22
49,971
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a matrix a consisting of positive integers. It has n rows and m columns. Construct a matrix b consisting of positive integers. It should have the same size as a, and the following conditions should be met: * 1 ≤ b_{i,j} ≤ ...
instruction
0
24,986
22
49,972
Tags: constructive algorithms, graphs, math, number theory Correct Solution: ``` from sys import stdin, stdout from collections import defaultdict import math def main(): n, m = list(map(int, stdin.readline().split())) arr = [] for i in range(n): arr.append(list(map(int, stdin.readline().split()))...
output
1
24,986
22
49,973
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a matrix a consisting of positive integers. It has n rows and m columns. Construct a matrix b consisting of positive integers. It should have the same size as a, and the following conditions should be met: * 1 ≤ b_{i,j} ≤ ...
instruction
0
24,987
22
49,974
Tags: constructive algorithms, graphs, math, number theory Correct Solution: ``` import sys sys.setrecursionlimit(10**5) int1 = lambda x: int(x)-1 p2D = lambda x: print(*x, sep="\n") def II(): return int(sys.stdin.buffer.readline()) def MI(): return map(int, sys.stdin.buffer.readline().split()) def LI(): return list(m...
output
1
24,987
22
49,975
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a matrix a consisting of positive integers. It has n rows and m columns. Construct a matrix b consisting of positive integers. It should have the same size as a, and the following conditions should be met: * 1 ≤ b_{i,j} ≤ ...
instruction
0
24,988
22
49,976
Tags: constructive algorithms, graphs, math, number theory Correct Solution: ``` n, m = map(int, input().split()) for i in range(n) : a = list(map(int, input().split())) for j in range(m) : if (j+i) & 1 : print(720720, end = " ") else : print(720720 - a[j] * a[j] * a[j] * a[j], end = " ") print() ```
output
1
24,988
22
49,977
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a matrix a consisting of positive integers. It has n rows and m columns. Construct a matrix b consisting of positive integers. It should have the same size as a, and the following conditions should be met: * 1 ≤ b_{i,j} ≤ ...
instruction
0
24,989
22
49,978
Tags: constructive algorithms, graphs, math, number theory Correct Solution: ``` import sys import math from collections import defaultdict,Counter,deque # input=sys.stdin.readline # def print(x): # sys.stdout.write(str(x)+"\n") import os import sys from io import BytesIO, IOBase BUFSIZE = 8192 class FastIO(IO...
output
1
24,989
22
49,979
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a matrix a consisting of positive integers. It has n rows and m columns. Construct a matrix b consisting of positive integers. It should have the same size as a, and the following conditions should be met: * 1 ≤ b_{i,j} ≤ ...
instruction
0
24,990
22
49,980
Tags: constructive algorithms, graphs, 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.bu...
output
1
24,990
22
49,981
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a matrix a consisting of positive integers. It has n rows and m columns. Construct a matrix b consisting of positive integers. It should have the same size as a, and the following conditions should be met: * 1 ≤ b_{i,j} ≤ ...
instruction
0
24,991
22
49,982
Tags: constructive algorithms, graphs, math, number theory Correct Solution: ``` # from __future__ import print_function,division # range = xrange import sys input = sys.stdin.readline # sys.setrecursionlimit(10**9) from sys import stdin, stdout from collections import defaultdict, Counter from math import gcd M = 10**...
output
1
24,991
22
49,983
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Yaroslav has an array p = p1, p2, ..., pn (1 ≤ pi ≤ n), consisting of n distinct integers. Also, he has m queries: * Query number i is represented as a pair of integers li, ri (1 ≤ li ≤ ri ≤ ...
instruction
0
25,046
22
50,092
No
output
1
25,046
22
50,093
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Yaroslav has an array p = p1, p2, ..., pn (1 ≤ pi ≤ n), consisting of n distinct integers. Also, he has m queries: * Query number i is represented as a pair of integers li, ri (1 ≤ li ≤ ri ≤ ...
instruction
0
25,047
22
50,094
No
output
1
25,047
22
50,095