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Provide tags and a correct Python 3 solution for this coding contest problem. Let's denote a function <image> You are given an array a consisting of n integers. You have to calculate the sum of d(ai, aj) over all pairs (i, j) such that 1 ≀ i ≀ j ≀ n. Input The first line contains one integer n (1 ≀ n ≀ 200000) β€” ...
instruction
0
60,352
12
120,704
Tags: data structures, math Correct Solution: ``` from bisect import bisect def main(): n = int(input()) an = [(i, int(s)) for i, s in enumerate(input().split())][:n] ans = sum(a * (-n + 1 + 2 * i) for i, a in an) group = {} for i, a in an: if a not in group: group[a] = [] ...
output
1
60,352
12
120,705
Provide tags and a correct Python 3 solution for this coding contest problem. Let's denote a function <image> You are given an array a consisting of n integers. You have to calculate the sum of d(ai, aj) over all pairs (i, j) such that 1 ≀ i ≀ j ≀ n. Input The first line contains one integer n (1 ≀ n ≀ 200000) β€” ...
instruction
0
60,353
12
120,706
Tags: data structures, math Correct Solution: ``` def ii(): return int(input()) def mi(): return map(int, input().split()) def li(): return list(mi()) from collections import defaultdict n = ii() a = li() def solve(a): d = defaultdict(int) s = 0 for i in range(n): x = a[i] s +=...
output
1
60,353
12
120,707
Provide tags and a correct Python 3 solution for this coding contest problem. Let's denote a function <image> You are given an array a consisting of n integers. You have to calculate the sum of d(ai, aj) over all pairs (i, j) such that 1 ≀ i ≀ j ≀ n. Input The first line contains one integer n (1 ≀ n ≀ 200000) β€” ...
instruction
0
60,354
12
120,708
Tags: data structures, math Correct Solution: ``` # -*- coding: utf-8 -*- """ Created on Tue Dec 12 20:33:55 2017 @author: savit """ dic={} n=int(input()) sum1=0 a=list(map(int,input().split())) for i in range(n-1,-1,-1): try: dic[a[i]]+=1 except: dic[a[i]]=1 sum1+=a[i]*(-n+1+2*i) ...
output
1
60,354
12
120,709
Provide tags and a correct Python 3 solution for this coding contest problem. Let's denote a function <image> You are given an array a consisting of n integers. You have to calculate the sum of d(ai, aj) over all pairs (i, j) such that 1 ≀ i ≀ j ≀ n. Input The first line contains one integer n (1 ≀ n ≀ 200000) β€” ...
instruction
0
60,355
12
120,710
Tags: data structures, math Correct Solution: ``` m = {} A = [0] * 200001 B = [] sum1 = 0 ans = 0 n = int(input()) B = (input().split(' ')) for i in range(n): A[i] = int(B[i]) sum1 += A[i] if A[i] in m: m[A[i]] += 1 else: m[A[i]] = 1 np = n for i in range(n): if A[i] in m: a1 = m[A[i]] else: a1 = 0 if A...
output
1
60,355
12
120,711
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an array a consisting of n integers. You can perform the following operations with it: 1. Choose some positions i and j (1 ≀ i, j ≀ n, i β‰  j), write the value of a_i β‹… a_j into the j-th cell and remove the number from the i...
instruction
0
60,640
12
121,280
Tags: constructive algorithms, greedy, math Correct Solution: ``` n=int(input()) l=list(map(int,input().split())) neg=[] zer=[] ans=[] s=set() st=1 ma=-9999999999999999999999999999999 count=0 d=dict() for i in range(n): if l[i]<0: neg.append(i+1) ma=max(l[i],ma) if l[i] in d: d[l...
output
1
60,640
12
121,281
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an array a consisting of n integers. You can perform the following operations with it: 1. Choose some positions i and j (1 ≀ i, j ≀ n, i β‰  j), write the value of a_i β‹… a_j into the j-th cell and remove the number from the i...
instruction
0
60,641
12
121,282
Tags: constructive algorithms, greedy, math Correct Solution: ``` n = int(input()) t = n num = list(map(int, input().split())) visited = [True] * n negative = 0 mn = -10 ** 10 pos = -1 zero = 0 pos_zero = [] for i in range(n): q = num[i] if q == 0: zero += 1 pos_zero.append(i) elif q < 0: ...
output
1
60,641
12
121,283
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an array a consisting of n integers. You can perform the following operations with it: 1. Choose some positions i and j (1 ≀ i, j ≀ n, i β‰  j), write the value of a_i β‹… a_j into the j-th cell and remove the number from the i...
instruction
0
60,642
12
121,284
Tags: constructive algorithms, greedy, math Correct Solution: ``` n = int(input()) a = list(map(int,input().split())) hu = 0 humax = -float("inf") huind = None able = set(range(n)) ans = [] mae = -1 for i in range(n): if a[i] == 0: if mae == -1: mae = i able.discard(i) else: ans.ap...
output
1
60,642
12
121,285
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an array a consisting of n integers. You can perform the following operations with it: 1. Choose some positions i and j (1 ≀ i, j ≀ n, i β‰  j), write the value of a_i β‹… a_j into the j-th cell and remove the number from the i...
instruction
0
60,643
12
121,286
Tags: constructive algorithms, greedy, math Correct Solution: ``` n = int(input()) v = list(map(int, input().split())) out, best, sub, zero = [0]*n, -1<<30, [], [] for i in range(n): if v[i] < 0: sub.append(i) if best < v[i]: best = v[i] isb = i elif v[i] == 0: ze...
output
1
60,643
12
121,287
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an array a consisting of n integers. You can perform the following operations with it: 1. Choose some positions i and j (1 ≀ i, j ≀ n, i β‰  j), write the value of a_i β‹… a_j into the j-th cell and remove the number from the i...
instruction
0
60,644
12
121,288
Tags: constructive algorithms, greedy, math Correct Solution: ``` import atexit import io import sys _INPUT_LINES = sys.stdin.read().splitlines() input = iter(_INPUT_LINES).__next__ _OUTPUT_BUFFER = io.StringIO() sys.stdout = _OUTPUT_BUFFER @atexit.register def write(): sys.__stdout__.write(_OUTPUT_BUFFER.getval...
output
1
60,644
12
121,289
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an array a consisting of n integers. You can perform the following operations with it: 1. Choose some positions i and j (1 ≀ i, j ≀ n, i β‰  j), write the value of a_i β‹… a_j into the j-th cell and remove the number from the i...
instruction
0
60,645
12
121,290
Tags: constructive algorithms, greedy, math Correct Solution: ``` # -*- coding:utf-8 -*- """ created by shuangquan.huang at 11/21/18 """ N = int(input()) A = [int(x) for x in input().split()] B = [abs(x) for x in A] zeros = [i for i in range(N) if A[i] == 0] positives = [i for i in range(N) if A[i] > 0] negs = [...
output
1
60,645
12
121,291
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an array a consisting of n integers. You can perform the following operations with it: 1. Choose some positions i and j (1 ≀ i, j ≀ n, i β‰  j), write the value of a_i β‹… a_j into the j-th cell and remove the number from the i...
instruction
0
60,646
12
121,292
Tags: constructive algorithms, greedy, math Correct Solution: ``` n = int(input()) l = list(map(int, input().split())) neg = list() zero = list() mneg = None for i in range(n): if l[i] == 0: zero.append(i) elif l[i] < 0: neg.append(i) if mneg is None or l[i] > l[mneg]: mneg = i if len(neg)%2 =...
output
1
60,646
12
121,293
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an array a consisting of n integers. You can perform the following operations with it: 1. Choose some positions i and j (1 ≀ i, j ≀ n, i β‰  j), write the value of a_i β‹… a_j into the j-th cell and remove the number from the i...
instruction
0
60,647
12
121,294
Tags: constructive algorithms, greedy, math Correct Solution: ``` n=int(input()) b=list(map(int,input().split())) k=0 c=[] r=1000000000000 for j in range(n): if b[j]==0: c.append(j+1) elif b[j]<0: k+=1 if abs(b[j])<r: r=abs(b[j]) q=j+1 if b[j]!=0: p=j ...
output
1
60,647
12
121,295
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. You can perform the following operations with it: 1. Choose some positions i and j (1 ≀ i, j ≀ n, i β‰  j), write the value of a_i β‹… a_j into...
instruction
0
60,648
12
121,296
Yes
output
1
60,648
12
121,297
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. You can perform the following operations with it: 1. Choose some positions i and j (1 ≀ i, j ≀ n, i β‰  j), write the value of a_i β‹… a_j into...
instruction
0
60,649
12
121,298
Yes
output
1
60,649
12
121,299
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. You can perform the following operations with it: 1. Choose some positions i and j (1 ≀ i, j ≀ n, i β‰  j), write the value of a_i β‹… a_j into...
instruction
0
60,650
12
121,300
Yes
output
1
60,650
12
121,301
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. You can perform the following operations with it: 1. Choose some positions i and j (1 ≀ i, j ≀ n, i β‰  j), write the value of a_i β‹… a_j into...
instruction
0
60,651
12
121,302
Yes
output
1
60,651
12
121,303
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. You can perform the following operations with it: 1. Choose some positions i and j (1 ≀ i, j ≀ n, i β‰  j), write the value of a_i β‹… a_j into...
instruction
0
60,652
12
121,304
No
output
1
60,652
12
121,305
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. You can perform the following operations with it: 1. Choose some positions i and j (1 ≀ i, j ≀ n, i β‰  j), write the value of a_i β‹… a_j into...
instruction
0
60,653
12
121,306
No
output
1
60,653
12
121,307
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. You can perform the following operations with it: 1. Choose some positions i and j (1 ≀ i, j ≀ n, i β‰  j), write the value of a_i β‹… a_j into...
instruction
0
60,654
12
121,308
No
output
1
60,654
12
121,309
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. You can perform the following operations with it: 1. Choose some positions i and j (1 ≀ i, j ≀ n, i β‰  j), write the value of a_i β‹… a_j into...
instruction
0
60,655
12
121,310
No
output
1
60,655
12
121,311
Provide tags and a correct Python 3 solution for this coding contest problem. 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 not matter where you insert the new element). For...
instruction
0
60,710
12
121,420
Tags: math Correct Solution: ``` for _____ in range(int(input())): n = int(input()) arr = list(map(int,input().split())) d = {0:0,1:0,2:0} for it in arr: d[it%3] +=1 a,b,c = d[0],d[1],d[2] if b < c: ctx = a + b + (c-b)//3 elif c < b: ctx = a + c + (b-c)//3 else: ...
output
1
60,710
12
121,421
Provide tags and a correct Python 3 solution for this coding contest problem. 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 not matter where you insert the new element). For...
instruction
0
60,712
12
121,424
Tags: math Correct Solution: ``` cases = int(input()) while cases: cases -= 1 num = int(input()) arr = list(map(int, input().split())) ans = 0 ones = 0 twos = 0 for n in arr: md = n % 3 if md == 0: ans += 1 elif md == 1: ones += 1 els...
output
1
60,712
12
121,425
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
60,714
12
121,428
Yes
output
1
60,714
12
121,429
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
60,716
12
121,432
Yes
output
1
60,716
12
121,433
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
60,718
12
121,436
No
output
1
60,718
12
121,437
Provide tags and a correct Python 3 solution for this coding contest problem. Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR...
instruction
0
60,801
12
121,602
Tags: bitmasks, brute force, constructive algorithms, divide and conquer, math Correct Solution: ``` from math import * from sys import stdin, stdout MAXR=64 class ba: u=0 v=0 def getBool( z): ans=ba() if(z==0): ans.u='0' ans.v='0' elif(z==1): ans.u='0' ans.v='1' ...
output
1
60,801
12
121,603
Provide tags and a correct Python 3 solution for this coding contest problem. Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR...
instruction
0
60,802
12
121,604
Tags: bitmasks, brute force, constructive algorithms, divide and conquer, math Correct Solution: ``` tail = [["00","00","00"], ["01","10","11"], ["10","11","01"], ["11","01","10"]] top = ["01", "10", "11"] S=[] E=[] cur=1 for i in range(32): S.append(cur) E.append(4*cur-1) cur *= ...
output
1
60,802
12
121,605
Provide tags and a correct Python 3 solution for this coding contest problem. Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR...
instruction
0
60,803
12
121,606
Tags: bitmasks, brute force, constructive algorithms, divide and conquer, math Correct Solution: ``` def level(m): l = 0 while m - (1 << (l*2)) >= 0: m -= (1 << (l*2)) l += 1 return l, m def to_bin(l, r): ls = [] for __ in range(l): ls.append(r % 4) r //= 4 retu...
output
1
60,803
12
121,607
Provide tags and a correct Python 3 solution for this coding contest problem. Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR...
instruction
0
60,804
12
121,608
Tags: bitmasks, brute force, constructive algorithms, divide and conquer, math Correct Solution: ``` from collections import defaultdict from queue import deque from sys import stdin, stdout from math import log2 def arrinp(): return [*map(int, stdin.readline().split(' '))] def mulinp(): return map(int, std...
output
1
60,804
12
121,609
Provide tags and a correct Python 3 solution for this coding contest problem. Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR...
instruction
0
60,805
12
121,610
Tags: bitmasks, brute force, constructive algorithms, divide and conquer, math 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.file...
output
1
60,805
12
121,611
Provide tags and a correct Python 3 solution for this coding contest problem. Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR...
instruction
0
60,806
12
121,612
Tags: bitmasks, brute force, constructive algorithms, divide and conquer, math Correct Solution: ``` import sys nums = [0,2,3,1] def justSecond(fi): if fi < 128: j = partial.index(fi) return partial[j+1] prev = justSecond(fi//4) return prev * 4 + nums[fi%4] lines = sys.stdin.readlines() f...
output
1
60,806
12
121,613
Provide tags and a correct Python 3 solution for this coding contest problem. Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR...
instruction
0
60,807
12
121,614
Tags: bitmasks, brute force, constructive algorithms, divide and conquer, math Correct Solution: ``` # Closed = [False] * (10000) # Closed[0] = True # for i in range(100): # a = Closed.index(False) # Closed[a] = True # for b in range(a+1, 10000): # if Closed[b]: # continue # c = ...
output
1
60,807
12
121,615
Provide tags and a correct Python 3 solution for this coding contest problem. Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR...
instruction
0
60,808
12
121,616
Tags: bitmasks, brute force, constructive algorithms, divide and conquer, math Correct Solution: ``` mod = 1000000007 eps = 10**-9 def main(): import sys input = sys.stdin.buffer.readline for _ in range(int(input())): N = int(input()) if N <= 3: print(N) continue ...
output
1
60,808
12
121,617
Provide tags and a correct Python 3 solution for this coding contest problem. Let a and b be two arrays of lengths n and m, respectively, with no elements in common. We can define a new array merge(a,b) of length n+m recursively as follows: * If one of the arrays is empty, the result is the other array. That is, me...
instruction
0
60,833
12
121,666
Tags: dp Correct Solution: ``` """ pppppppppppppppppppp ppppp ppppppppppppppppppp ppppppp ppppppppppppppppppppp pppppppp pppppppppppppppppppppp pppppppppppppppppppppppppppppppp ...
output
1
60,833
12
121,667
Provide tags and a correct Python 3 solution for this coding contest problem. Let a and b be two arrays of lengths n and m, respectively, with no elements in common. We can define a new array merge(a,b) of length n+m recursively as follows: * If one of the arrays is empty, the result is the other array. That is, me...
instruction
0
60,834
12
121,668
Tags: dp Correct Solution: ``` for _ in range(int(input())): n=int(input()) a=list(map(int,input().split())) b=[a[0]] c=[1] for i in range(1,2*n): if a[i]>b[-1]: b.append(a[i]) c.append(1) else: c[-1]+=1 m=len(c) dp=[[0 for _ in range(n+1)]...
output
1
60,834
12
121,669
Provide tags and a correct Python 3 solution for this coding contest problem. Let a and b be two arrays of lengths n and m, respectively, with no elements in common. We can define a new array merge(a,b) of length n+m recursively as follows: * If one of the arrays is empty, the result is the other array. That is, me...
instruction
0
60,835
12
121,670
Tags: dp Correct Solution: ``` t = int(input()) for tt in range(0, t): n = int(input()) p = map(int, input().split()) blocks = [] mx = -1 block = 0 for x in p: if x > mx: if block > 0: blocks.append(block) block = 0 mx = x bloc...
output
1
60,835
12
121,671
Provide tags and a correct Python 3 solution for this coding contest problem. Let a and b be two arrays of lengths n and m, respectively, with no elements in common. We can define a new array merge(a,b) of length n+m recursively as follows: * If one of the arrays is empty, the result is the other array. That is, me...
instruction
0
60,836
12
121,672
Tags: dp Correct Solution: ``` t = int(input()) for _ in range(t): n, p = int(input()), list(map(int, input().split())) v, w = [], [] i, k = 0, 0 while i < 2*n: j = i + 1 while j < 2 * n and p[j] < p[i]: j += 1 v.append(j - i) w.append(j - i) k += 1 ...
output
1
60,836
12
121,673
Provide tags and a correct Python 3 solution for this coding contest problem. Let a and b be two arrays of lengths n and m, respectively, with no elements in common. We can define a new array merge(a,b) of length n+m recursively as follows: * If one of the arrays is empty, the result is the other array. That is, me...
instruction
0
60,837
12
121,674
Tags: dp Correct Solution: ``` ###################################################### ############Created by Devesh Kumar################### #############devesh1102@gmail.com#################### ##########For CodeForces(Devesh1102)################# #####################2020############################# ################...
output
1
60,837
12
121,675
Provide tags and a correct Python 3 solution for this coding contest problem. Let a and b be two arrays of lengths n and m, respectively, with no elements in common. We can define a new array merge(a,b) of length n+m recursively as follows: * If one of the arrays is empty, the result is the other array. That is, me...
instruction
0
60,838
12
121,676
Tags: dp Correct Solution: ``` tests = int(input()) for t in range(tests): n = int(input()) ls = list(map(int, input().split())) curr = ls[0] groups = [] group_len = 1 for item in ls[1:]: if curr > item: group_len += 1 else: groups.append(group_len) ...
output
1
60,838
12
121,677
Provide tags and a correct Python 3 solution for this coding contest problem. Let a and b be two arrays of lengths n and m, respectively, with no elements in common. We can define a new array merge(a,b) of length n+m recursively as follows: * If one of the arrays is empty, the result is the other array. That is, me...
instruction
0
60,839
12
121,678
Tags: dp Correct Solution: ``` import sys input = lambda: sys.stdin.readline().rstrip('\n\r') for _ in range(int(input())): n = int(input()) P = list(map(int, input().split())) pos = {v: i for i, v in enumerate(P)} prev = 2*n maxx = list(P) for i in range(1, 2*n): maxx[i] = max(maxx[i-1], P[i]) lens = [] f...
output
1
60,839
12
121,679
Provide tags and a correct Python 3 solution for this coding contest problem. Let a and b be two arrays of lengths n and m, respectively, with no elements in common. We can define a new array merge(a,b) of length n+m recursively as follows: * If one of the arrays is empty, the result is the other array. That is, me...
instruction
0
60,840
12
121,680
Tags: dp Correct Solution: ``` def dp(arr,n): sub = [[False for i in range(n+1)] for i in range(len(arr)+1)] for i in range(len(arr)+1): sub[i][0] = True for i in range(1,len(arr)+1): for j in range(1,n+1): if (j<arr[i-1]): sub[i][j] = sub[i-1][j] else: sub[i][j] = (sub[i-1][j] or sub[i-1][j-arr[i-...
output
1
60,840
12
121,681
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let a and b be two arrays of lengths n and m, respectively, with no elements in common. We can define a new array merge(a,b) of length n+m recursively as follows: * If one of the arrays is em...
instruction
0
60,841
12
121,682
Yes
output
1
60,841
12
121,683
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let a and b be two arrays of lengths n and m, respectively, with no elements in common. We can define a new array merge(a,b) of length n+m recursively as follows: * If one of the arrays is em...
instruction
0
60,842
12
121,684
Yes
output
1
60,842
12
121,685
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let a and b be two arrays of lengths n and m, respectively, with no elements in common. We can define a new array merge(a,b) of length n+m recursively as follows: * If one of the arrays is em...
instruction
0
60,843
12
121,686
Yes
output
1
60,843
12
121,687
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let a and b be two arrays of lengths n and m, respectively, with no elements in common. We can define a new array merge(a,b) of length n+m recursively as follows: * If one of the arrays is em...
instruction
0
60,844
12
121,688
Yes
output
1
60,844
12
121,689
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let a and b be two arrays of lengths n and m, respectively, with no elements in common. We can define a new array merge(a,b) of length n+m recursively as follows: * If one of the arrays is em...
instruction
0
60,845
12
121,690
No
output
1
60,845
12
121,691
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let a and b be two arrays of lengths n and m, respectively, with no elements in common. We can define a new array merge(a,b) of length n+m recursively as follows: * If one of the arrays is em...
instruction
0
60,846
12
121,692
No
output
1
60,846
12
121,693
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let a and b be two arrays of lengths n and m, respectively, with no elements in common. We can define a new array merge(a,b) of length n+m recursively as follows: * If one of the arrays is em...
instruction
0
60,847
12
121,694
No
output
1
60,847
12
121,695
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let a and b be two arrays of lengths n and m, respectively, with no elements in common. We can define a new array merge(a,b) of length n+m recursively as follows: * If one of the arrays is em...
instruction
0
60,848
12
121,696
No
output
1
60,848
12
121,697
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an array a_1, a_2, ..., a_n where all a_i are integers and greater than 0. In one operation, you can choose two different indices i and j (1 ≀ i, j ≀ n). If gcd(a_i, a_j) is equal to the minimum element of the whole array a, y...
instruction
0
60,849
12
121,698
Tags: constructive algorithms, math, number theory, sortings Correct Solution: ``` for _ in range(int(input())): a=int(input());b=list(map(int,input().split()));c=sorted(b);z="YES";k=c[0] for i in range(a): if b[i]!=c[i]: if b[i]%k!=0 or c[i]%k!=0:z="NO";break print(z) ```
output
1
60,849
12
121,699