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Provide a correct Python 3 solution for this coding contest problem. Write a program which prints small/large/equal relation of given two integers a and b. Constraints * -1000 ≤ a, b ≤ 1000 Input Two integers a and b separated by a single space are given in a line. Output For given two integers a and b, print a < b if a is less than b, a > b if a is greater than b, and a == b if a equals to b. Examples Input 1 2 Output a Input 4 3 Output a > b Input 5 5 Output a == b
instruction
0
102,873
5
205,746
"Correct Solution: ``` a,b=map(int,input().split()) if(a>b): print('a > b') elif(a<b): print('a < b') else: print("a == b") ```
output
1
102,873
5
205,747
Provide a correct Python 3 solution for this coding contest problem. Write a program which prints small/large/equal relation of given two integers a and b. Constraints * -1000 ≤ a, b ≤ 1000 Input Two integers a and b separated by a single space are given in a line. Output For given two integers a and b, print a < b if a is less than b, a > b if a is greater than b, and a == b if a equals to b. Examples Input 1 2 Output a Input 4 3 Output a > b Input 5 5 Output a == b
instruction
0
102,874
5
205,748
"Correct Solution: ``` a, b = map(int, input().split()) if (a > b): print('a > b') elif (a < b): print('a < b') else: print('a == b') ```
output
1
102,874
5
205,749
Provide a correct Python 3 solution for this coding contest problem. Write a program which prints small/large/equal relation of given two integers a and b. Constraints * -1000 ≤ a, b ≤ 1000 Input Two integers a and b separated by a single space are given in a line. Output For given two integers a and b, print a < b if a is less than b, a > b if a is greater than b, and a == b if a equals to b. Examples Input 1 2 Output a Input 4 3 Output a > b Input 5 5 Output a == b
instruction
0
102,875
5
205,750
"Correct Solution: ``` a, b = map(int, input().split()) print("a {} b".format('<' if a < b else '>' if a > b else '==')) ```
output
1
102,875
5
205,751
Provide a correct Python 3 solution for this coding contest problem. Write a program which prints small/large/equal relation of given two integers a and b. Constraints * -1000 ≤ a, b ≤ 1000 Input Two integers a and b separated by a single space are given in a line. Output For given two integers a and b, print a < b if a is less than b, a > b if a is greater than b, and a == b if a equals to b. Examples Input 1 2 Output a Input 4 3 Output a > b Input 5 5 Output a == b
instruction
0
102,876
5
205,752
"Correct Solution: ``` a,b= map(int,(input().split())) if(a==b): print("a == b") elif(a<b): print("a < b") elif(a>b): print("a > b") ```
output
1
102,876
5
205,753
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which prints small/large/equal relation of given two integers a and b. Constraints * -1000 ≤ a, b ≤ 1000 Input Two integers a and b separated by a single space are given in a line. Output For given two integers a and b, print a < b if a is less than b, a > b if a is greater than b, and a == b if a equals to b. Examples Input 1 2 Output a Input 4 3 Output a > b Input 5 5 Output a == b Submitted Solution: ``` a,b = map(int,input().split()) if a == b: print("a == b") if a > b: print("a > b") if a < b: print("a < b") ```
instruction
0
102,877
5
205,754
Yes
output
1
102,877
5
205,755
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which prints small/large/equal relation of given two integers a and b. Constraints * -1000 ≤ a, b ≤ 1000 Input Two integers a and b separated by a single space are given in a line. Output For given two integers a and b, print a < b if a is less than b, a > b if a is greater than b, and a == b if a equals to b. Examples Input 1 2 Output a Input 4 3 Output a > b Input 5 5 Output a == b Submitted Solution: ``` a,b=map(float,input().split()) if a<b: print("a < b") elif a>b: print("a > b") else: print("a == b") ```
instruction
0
102,878
5
205,756
Yes
output
1
102,878
5
205,757
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which prints small/large/equal relation of given two integers a and b. Constraints * -1000 ≤ a, b ≤ 1000 Input Two integers a and b separated by a single space are given in a line. Output For given two integers a and b, print a < b if a is less than b, a > b if a is greater than b, and a == b if a equals to b. Examples Input 1 2 Output a Input 4 3 Output a > b Input 5 5 Output a == b Submitted Solution: ``` a,b=map(int,input().split());print("a "+("<"if a<b else">"if a>b else"==")+" b") ```
instruction
0
102,879
5
205,758
Yes
output
1
102,879
5
205,759
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which prints small/large/equal relation of given two integers a and b. Constraints * -1000 ≤ a, b ≤ 1000 Input Two integers a and b separated by a single space are given in a line. Output For given two integers a and b, print a < b if a is less than b, a > b if a is greater than b, and a == b if a equals to b. Examples Input 1 2 Output a Input 4 3 Output a > b Input 5 5 Output a == b Submitted Solution: ``` a,b = map(int,input().split()) x = '' if a < b: x = ' < ' elif a > b: x = ' > ' else: x = ' == ' print('a'+x+'b') ```
instruction
0
102,880
5
205,760
Yes
output
1
102,880
5
205,761
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which prints small/large/equal relation of given two integers a and b. Constraints * -1000 ≤ a, b ≤ 1000 Input Two integers a and b separated by a single space are given in a line. Output For given two integers a and b, print a < b if a is less than b, a > b if a is greater than b, and a == b if a equals to b. Examples Input 1 2 Output a Input 4 3 Output a > b Input 5 5 Output a == b Submitted Solution: ``` a,b = map(int,input().split()) if a < b: print("a < b") elif a > b: print("a > b") else a == b: print("a == b") ```
instruction
0
102,881
5
205,762
No
output
1
102,881
5
205,763
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which prints small/large/equal relation of given two integers a and b. Constraints * -1000 ≤ a, b ≤ 1000 Input Two integers a and b separated by a single space are given in a line. Output For given two integers a and b, print a < b if a is less than b, a > b if a is greater than b, and a == b if a equals to b. Examples Input 1 2 Output a Input 4 3 Output a > b Input 5 5 Output a == b Submitted Solution: ``` a = input() b = input() if a > b: print("a > b") if a < b: print("a < b") if a == b: print("a == b") ```
instruction
0
102,882
5
205,764
No
output
1
102,882
5
205,765
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which prints small/large/equal relation of given two integers a and b. Constraints * -1000 ≤ a, b ≤ 1000 Input Two integers a and b separated by a single space are given in a line. Output For given two integers a and b, print a < b if a is less than b, a > b if a is greater than b, and a == b if a equals to b. Examples Input 1 2 Output a Input 4 3 Output a > b Input 5 5 Output a == b Submitted Solution: ``` import sys data = sys.stdin.readline().strip() a, b = data.split(' ') if a > b: print('a > b') elif a < b: print('a < b') else: print('a == b') ```
instruction
0
102,883
5
205,766
No
output
1
102,883
5
205,767
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which prints small/large/equal relation of given two integers a and b. Constraints * -1000 ≤ a, b ≤ 1000 Input Two integers a and b separated by a single space are given in a line. Output For given two integers a and b, print a < b if a is less than b, a > b if a is greater than b, and a == b if a equals to b. Examples Input 1 2 Output a Input 4 3 Output a > b Input 5 5 Output a == b Submitted Solution: ``` #!usr/bin/env python3 def string_number_spliter(): a, b = [int(i) for i in input().split()] return a, b def main(): a, b = string_number_spliter() if (a < b): print(str(a) + " < " + str(b)) elif (a < b): print(str(a) + " > " + str(b)) else: print(str(a) + " == " + str(b)) if __name__ == '__main__': main() ```
instruction
0
102,884
5
205,768
No
output
1
102,884
5
205,769
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Input The input contains a single integer a (1 ≤ a ≤ 99). Output Output "YES" or "NO". Examples Input 5 Output YES Input 13 Output NO Input 24 Output NO Input 46 Output YES Submitted Solution: ``` n=int(input()) a=[2,3,4,5,12,30,31,32,35,43,46,52,64,86] if(n in a): print("YES") else: print("NO") ```
instruction
0
102,948
5
205,896
Yes
output
1
102,948
5
205,897
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Input The input contains a single integer a (1 ≤ a ≤ 99). Output Output "YES" or "NO". Examples Input 5 Output YES Input 13 Output NO Input 24 Output NO Input 46 Output YES Submitted Solution: ``` n = int(input()) ban = [1,7,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,37,39,41,47,49,51,57,59,61,67,69,70,71,72,73,74,75,76,77,78,79,81,87,89,90,91,92,93,94,95,96,97,98,99] if n in ban: print("NO") else: print("YES") ```
instruction
0
102,949
5
205,898
Yes
output
1
102,949
5
205,899
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Input The input contains a single integer a (1 ≤ a ≤ 99). Output Output "YES" or "NO". Examples Input 5 Output YES Input 13 Output NO Input 24 Output NO Input 46 Output YES Submitted Solution: ``` import math def ii(): return int(input()) def ill(): return input().split(' ') def ili(): return [int(i) for i in input().split(' ')] def ilis(): return (int(i) for i in input().split(' ')) def gcd(a, b): return a if b == 0 else gcd(b, a % b) def extgcd(a, b, x=0, y=0): if b == 0: return (a, 1, 0) d, m, n = extgcd(b, a % b, x, y) return (d, n, m-(a//b)*n) b = [2, 3, 4, 5] def isnum(n): global b if n in b: return True for i in range(n // 2): if isnum(i) and isnum(n - i): b.append(i) b.append(n - i) return True def main(): T = ii() # 2 3 4 5 if T in (2, 3, 4, 5, 12, 30, 35, 43, 46, 52, 64, 86): print('YES') exit(0) print('NO') if __name__ == "__main__": main() ```
instruction
0
102,950
5
205,900
Yes
output
1
102,950
5
205,901
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Input The input contains a single integer a (1 ≤ a ≤ 99). Output Output "YES" or "NO". Examples Input 5 Output YES Input 13 Output NO Input 24 Output NO Input 46 Output YES Submitted Solution: ``` Digit = ['0', '2', '3', '4', '5', '6', '8', '12'] N = input() if N in Digit: print("YES");exit() if N <= '29': print("NO");exit() if any([i not in Digit for i in N]): print("NO");exit() print("YES") # Caption: God bless you General Soleimani # ---------Hard Revenge--------- # ****** Rest in Peace ****** ```
instruction
0
102,951
5
205,902
Yes
output
1
102,951
5
205,903
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Input The input contains a single integer a (1 ≤ a ≤ 99). Output Output "YES" or "NO". Examples Input 5 Output YES Input 13 Output NO Input 24 Output NO Input 46 Output YES Submitted Solution: ``` n = int(input()) if n in (5, 46, 2, 3, 4): print('YES') else: print('NO') ```
instruction
0
102,952
5
205,904
No
output
1
102,952
5
205,905
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Input The input contains a single integer a (1 ≤ a ≤ 99). Output Output "YES" or "NO". Examples Input 5 Output YES Input 13 Output NO Input 24 Output NO Input 46 Output YES Submitted Solution: ``` a = [2, 3, 4, 5, 12, 30, 43, 46] b = int(input()) if b in a: print("YES") else: print("NO") ```
instruction
0
102,953
5
205,906
No
output
1
102,953
5
205,907
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Input The input contains a single integer a (1 ≤ a ≤ 99). Output Output "YES" or "NO". Examples Input 5 Output YES Input 13 Output NO Input 24 Output NO Input 46 Output YES Submitted Solution: ``` a = int(input()) if a == 5: print("YES") elif a == 13: print("NO") elif a == 24: print("NO") elif a == 46: print("YES") elif a == 1: print("NO") elif a == 2: print("YES") elif a == 3: print("YES") elif a == 4: print("YES") elif a == 10: print("NO") elif a <= 15: print("NO") ```
instruction
0
102,954
5
205,908
No
output
1
102,954
5
205,909
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Input The input contains a single integer a (1 ≤ a ≤ 99). Output Output "YES" or "NO". Examples Input 5 Output YES Input 13 Output NO Input 24 Output NO Input 46 Output YES Submitted Solution: ``` n = int(input()) print("YES" if n % 41 == 5 else "NO") ```
instruction
0
102,955
5
205,910
No
output
1
102,955
5
205,911
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Once Bob needed to find the second order statistics of a sequence of integer numbers. Lets choose each number from the sequence exactly once and sort them. The value on the second position is the second order statistics of the given sequence. In other words it is the smallest element strictly greater than the minimum. Help Bob solve this problem. Input The first input line contains integer n (1 ≤ n ≤ 100) — amount of numbers in the sequence. The second line contains n space-separated integer numbers — elements of the sequence. These numbers don't exceed 100 in absolute value. Output If the given sequence has the second order statistics, output this order statistics, otherwise output NO. Examples Input 4 1 2 2 -4 Output 1 Input 5 1 2 3 1 1 Output 2 Submitted Solution: ``` #!/usr/bin/python3 import sys input = lambda: sys.stdin.readline().strip() n = int(input()) s = set([int(x) for x in input().split()]) print('NO' if len(s) == 1 else sorted(s)[1]) ```
instruction
0
103,157
5
206,314
Yes
output
1
103,157
5
206,315
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Once Bob needed to find the second order statistics of a sequence of integer numbers. Lets choose each number from the sequence exactly once and sort them. The value on the second position is the second order statistics of the given sequence. In other words it is the smallest element strictly greater than the minimum. Help Bob solve this problem. Input The first input line contains integer n (1 ≤ n ≤ 100) — amount of numbers in the sequence. The second line contains n space-separated integer numbers — elements of the sequence. These numbers don't exceed 100 in absolute value. Output If the given sequence has the second order statistics, output this order statistics, otherwise output NO. Examples Input 4 1 2 2 -4 Output 1 Input 5 1 2 3 1 1 Output 2 Submitted Solution: ``` n=input() l=list(map(int,input().split())) a=set(l) f=list(a) f.sort() n=len(f) if(n>1): print(f[1],end="") else: print("NO",end="") ```
instruction
0
103,158
5
206,316
Yes
output
1
103,158
5
206,317
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Once Bob needed to find the second order statistics of a sequence of integer numbers. Lets choose each number from the sequence exactly once and sort them. The value on the second position is the second order statistics of the given sequence. In other words it is the smallest element strictly greater than the minimum. Help Bob solve this problem. Input The first input line contains integer n (1 ≤ n ≤ 100) — amount of numbers in the sequence. The second line contains n space-separated integer numbers — elements of the sequence. These numbers don't exceed 100 in absolute value. Output If the given sequence has the second order statistics, output this order statistics, otherwise output NO. Examples Input 4 1 2 2 -4 Output 1 Input 5 1 2 3 1 1 Output 2 Submitted Solution: ``` n = int(input()) ai = list(map(int,input().split())) ai.sort() ans = "NO" for i in range(1,n): if ai[i] != ai[i-1]: ans = ai[i] break print(ans) ```
instruction
0
103,159
5
206,318
Yes
output
1
103,159
5
206,319
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Once Bob needed to find the second order statistics of a sequence of integer numbers. Lets choose each number from the sequence exactly once and sort them. The value on the second position is the second order statistics of the given sequence. In other words it is the smallest element strictly greater than the minimum. Help Bob solve this problem. Input The first input line contains integer n (1 ≤ n ≤ 100) — amount of numbers in the sequence. The second line contains n space-separated integer numbers — elements of the sequence. These numbers don't exceed 100 in absolute value. Output If the given sequence has the second order statistics, output this order statistics, otherwise output NO. Examples Input 4 1 2 2 -4 Output 1 Input 5 1 2 3 1 1 Output 2 Submitted Solution: ``` n=int(input()) s=[int(i) for i in input().split()] p=set(s) q=sorted(p) if len(q)>1: print(q[1]) else: print('NO') ```
instruction
0
103,160
5
206,320
Yes
output
1
103,160
5
206,321
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Once Bob needed to find the second order statistics of a sequence of integer numbers. Lets choose each number from the sequence exactly once and sort them. The value on the second position is the second order statistics of the given sequence. In other words it is the smallest element strictly greater than the minimum. Help Bob solve this problem. Input The first input line contains integer n (1 ≤ n ≤ 100) — amount of numbers in the sequence. The second line contains n space-separated integer numbers — elements of the sequence. These numbers don't exceed 100 in absolute value. Output If the given sequence has the second order statistics, output this order statistics, otherwise output NO. Examples Input 4 1 2 2 -4 Output 1 Input 5 1 2 3 1 1 Output 2 Submitted Solution: ``` n=int(input()) n1=list(map(int,input().split())) n1.sort() s=set(n1) l=list(s) l.sort() if(l==n1): print('NO') else: print(l[1]) ```
instruction
0
103,161
5
206,322
No
output
1
103,161
5
206,323
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Once Bob needed to find the second order statistics of a sequence of integer numbers. Lets choose each number from the sequence exactly once and sort them. The value on the second position is the second order statistics of the given sequence. In other words it is the smallest element strictly greater than the minimum. Help Bob solve this problem. Input The first input line contains integer n (1 ≤ n ≤ 100) — amount of numbers in the sequence. The second line contains n space-separated integer numbers — elements of the sequence. These numbers don't exceed 100 in absolute value. Output If the given sequence has the second order statistics, output this order statistics, otherwise output NO. Examples Input 4 1 2 2 -4 Output 1 Input 5 1 2 3 1 1 Output 2 Submitted Solution: ``` n = int(input()) l = list(map(int,input().split())) l.sort() print(l[1]) ```
instruction
0
103,162
5
206,324
No
output
1
103,162
5
206,325
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Once Bob needed to find the second order statistics of a sequence of integer numbers. Lets choose each number from the sequence exactly once and sort them. The value on the second position is the second order statistics of the given sequence. In other words it is the smallest element strictly greater than the minimum. Help Bob solve this problem. Input The first input line contains integer n (1 ≤ n ≤ 100) — amount of numbers in the sequence. The second line contains n space-separated integer numbers — elements of the sequence. These numbers don't exceed 100 in absolute value. Output If the given sequence has the second order statistics, output this order statistics, otherwise output NO. Examples Input 4 1 2 2 -4 Output 1 Input 5 1 2 3 1 1 Output 2 Submitted Solution: ``` n = int(input()) ar = input() def remove(ar): return ar.replace(" ", "") def convert(ar): a=[] a[:]=remove(ar) if len(a)!=n: return 'NO' b = [] for i in a: if i not in b: b.append(i) answer=sorted(b) return answer[1] print(convert(ar)) ```
instruction
0
103,163
5
206,326
No
output
1
103,163
5
206,327
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Once Bob needed to find the second order statistics of a sequence of integer numbers. Lets choose each number from the sequence exactly once and sort them. The value on the second position is the second order statistics of the given sequence. In other words it is the smallest element strictly greater than the minimum. Help Bob solve this problem. Input The first input line contains integer n (1 ≤ n ≤ 100) — amount of numbers in the sequence. The second line contains n space-separated integer numbers — elements of the sequence. These numbers don't exceed 100 in absolute value. Output If the given sequence has the second order statistics, output this order statistics, otherwise output NO. Examples Input 4 1 2 2 -4 Output 1 Input 5 1 2 3 1 1 Output 2 Submitted Solution: ``` n = int(input()) a = list(map(int, input().split())) first = float("inf") second = float("inf") for i in range(n): if a[i] < first: second = first first = a[i] elif a[i] < second: second = a[i] if second == first: print("NO") else: print(second) ```
instruction
0
103,164
5
206,328
No
output
1
103,164
5
206,329
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us define two functions f and g on positive integer numbers. <image> <image> You need to process Q queries. In each query, you will be given three integers l, r and k. You need to print the number of integers x between l and r inclusive, such that g(x) = k. Input The first line of the input contains an integer Q (1 ≤ Q ≤ 2 × 105) representing the number of queries. Q lines follow, each of which contains 3 integers l, r and k (1 ≤ l ≤ r ≤ 106, 1 ≤ k ≤ 9). Output For each query, print a single line containing the answer for that query. Examples Input 4 22 73 9 45 64 6 47 55 7 2 62 4 Output 1 4 0 8 Input 4 82 94 6 56 67 4 28 59 9 39 74 4 Output 3 1 1 5 Note In the first example: * g(33) = 9 as g(33) = g(3 × 3) = g(9) = 9 * g(47) = g(48) = g(60) = g(61) = 6 * There are no such integers between 47 and 55. * g(4) = g(14) = g(22) = g(27) = g(39) = g(40) = g(41) = g(58) = 4 Submitted Solution: ``` z,zz=input,lambda:list(map(int,z().split())) fast=lambda:stdin.readline().strip() zzz=lambda:[int(i) for i in fast().split()] szz,graph,mod,szzz=lambda:sorted(zz()),{},10**9+7,lambda:sorted(zzz()) from string import * from re import * from collections import * from queue import * from sys import * from collections import * from math import * from heapq import * from itertools import * from bisect import * from collections import Counter as cc from math import factorial as f from bisect import bisect as bs from bisect import bisect_left as bsl from itertools import accumulate as ac def lcd(xnum1,xnum2):return (xnum1*xnum2//gcd(xnum1,xnum2)) def prime(x): p=ceil(x**.5)+1 for i in range(2,p): if (x%i==0 and x!=2) or x==0:return 0 return 1 def dfs(u,visit,graph): visit[u]=1 for i in graph[u]: if not visit[i]: dfs(i,visit,graph) ###########################---Test-Case---################################# """ If you Know me , Then you probably don't know me ! """ ###########################---START-CODING---############################## def solve(x): if x<10: return x p=1 while x: if x%10:p*=(x%10) x//=10 return solve(p) res=[] ans=[[]] for i in range(9): ans+=[[0]*1000001] for i in range(1,1000001): ans[solve(i)][i]+=1 for i in range(1,10): for j in range(1,1000001): ans[i][j]+=ans[i][j-1] num=int(z()) for i in ' '*num: l,r,k=zzz() res.append(ans[k][r]-ans[k][l]) for i in res:print(i) ```
instruction
0
103,403
5
206,806
No
output
1
103,403
5
206,807
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us define two functions f and g on positive integer numbers. <image> <image> You need to process Q queries. In each query, you will be given three integers l, r and k. You need to print the number of integers x between l and r inclusive, such that g(x) = k. Input The first line of the input contains an integer Q (1 ≤ Q ≤ 2 × 105) representing the number of queries. Q lines follow, each of which contains 3 integers l, r and k (1 ≤ l ≤ r ≤ 106, 1 ≤ k ≤ 9). Output For each query, print a single line containing the answer for that query. Examples Input 4 22 73 9 45 64 6 47 55 7 2 62 4 Output 1 4 0 8 Input 4 82 94 6 56 67 4 28 59 9 39 74 4 Output 3 1 1 5 Note In the first example: * g(33) = 9 as g(33) = g(3 × 3) = g(9) = 9 * g(47) = g(48) = g(60) = g(61) = 6 * There are no such integers between 47 and 55. * g(4) = g(14) = g(22) = g(27) = g(39) = g(40) = g(41) = g(58) = 4 Submitted Solution: ``` l = [] for i in range(1000055): l.append(0) def g(n): if(n < 10): return n elif(l[i] != 0): return l[i] else: l[n] = g(f(n, 1)) return l[n] def f(n, k): while(n > 0): if(n % 10 != 0): k *= n % 10 n = int(n / 10) if(n == 0): return k if(n % 10 != 0): k *= n % 10 k = f(int(n % 10), k) l[n] = k return k n = int(input()) for i in range(n): a, b, c = input().split() a = int(a) b = int(b) c = int(c) v = 0 for j in range(a, b + 1): if(g(j) == c): v = v + 1; print(v) ```
instruction
0
103,404
5
206,808
No
output
1
103,404
5
206,809
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us define two functions f and g on positive integer numbers. <image> <image> You need to process Q queries. In each query, you will be given three integers l, r and k. You need to print the number of integers x between l and r inclusive, such that g(x) = k. Input The first line of the input contains an integer Q (1 ≤ Q ≤ 2 × 105) representing the number of queries. Q lines follow, each of which contains 3 integers l, r and k (1 ≤ l ≤ r ≤ 106, 1 ≤ k ≤ 9). Output For each query, print a single line containing the answer for that query. Examples Input 4 22 73 9 45 64 6 47 55 7 2 62 4 Output 1 4 0 8 Input 4 82 94 6 56 67 4 28 59 9 39 74 4 Output 3 1 1 5 Note In the first example: * g(33) = 9 as g(33) = g(3 × 3) = g(9) = 9 * g(47) = g(48) = g(60) = g(61) = 6 * There are no such integers between 47 and 55. * g(4) = g(14) = g(22) = g(27) = g(39) = g(40) = g(41) = g(58) = 4 Submitted Solution: ``` import bisect q = int(input()) l = [] r = [] k = [] for i in range(q): a, b, c = list(map(int,input().strip().split())) l.append(a) r.append(b) k.append(c) memo = dict() def compute(n): if n == 0: return 1 curr = n % 10 if curr == 0: curr = 1 return curr * compute(n // 10) def solve(n): if n > 10: return solve(compute(n)) else: return n for i in range(min(l),max(r)+1): curr = solve(i) if curr in memo: memo[curr].append(i) else: memo[curr] = [i] for i in range(q): lindex = bisect.bisect_left(memo[k[i]],l[i]) rindex = bisect.bisect_left(memo[k[i]],r[i]) print(rindex - lindex) ```
instruction
0
103,405
5
206,810
No
output
1
103,405
5
206,811
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us define two functions f and g on positive integer numbers. <image> <image> You need to process Q queries. In each query, you will be given three integers l, r and k. You need to print the number of integers x between l and r inclusive, such that g(x) = k. Input The first line of the input contains an integer Q (1 ≤ Q ≤ 2 × 105) representing the number of queries. Q lines follow, each of which contains 3 integers l, r and k (1 ≤ l ≤ r ≤ 106, 1 ≤ k ≤ 9). Output For each query, print a single line containing the answer for that query. Examples Input 4 22 73 9 45 64 6 47 55 7 2 62 4 Output 1 4 0 8 Input 4 82 94 6 56 67 4 28 59 9 39 74 4 Output 3 1 1 5 Note In the first example: * g(33) = 9 as g(33) = g(3 × 3) = g(9) = 9 * g(47) = g(48) = g(60) = g(61) = 6 * There are no such integers between 47 and 55. * g(4) = g(14) = g(22) = g(27) = g(39) = g(40) = g(41) = g(58) = 4 Submitted Solution: ``` def f(x): dig=0 prod=1 while(x>0): dig=x%10 prod = prod*dig x=int(x/10) return prod def g(x): if(x<10): return x else: return g(f(x)) n = int(input()) tot = [] for i in range(n): arr=[] arr = list(map(int,input().split())) tot.append(arr) l = arr[0] r=arr[1] k=arr[2] cnt=0 for j in range(l,r+1): cand = g(j) if(g(j) == k): cnt+=1 print(cnt) ```
instruction
0
103,406
5
206,812
No
output
1
103,406
5
206,813
Provide a correct Python 3 solution for this coding contest problem. Let us define the FizzBuzz sequence a_1,a_2,... as follows: * If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}. * If the above does not hold but 3 divides i, a_i=\mbox{Fizz}. * If none of the above holds but 5 divides i, a_i=\mbox{Buzz}. * If none of the above holds, a_i=i. Find the sum of all numbers among the first N terms of the FizzBuzz sequence. Constraints * 1 \leq N \leq 10^6 Input Input is given from Standard Input in the following format: N Output Print the sum of all numbers among the first N terms of the FizzBuzz sequence. Examples Input 15 Output 60 Input 1000000 Output 266666333332
instruction
0
103,443
5
206,886
"Correct Solution: ``` a=0 N=int(input()) for i in range(1,N+1): if i%3!=0 and i%5!=0: a+=i print(a) ```
output
1
103,443
5
206,887
Provide a correct Python 3 solution for this coding contest problem. Let us define the FizzBuzz sequence a_1,a_2,... as follows: * If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}. * If the above does not hold but 3 divides i, a_i=\mbox{Fizz}. * If none of the above holds but 5 divides i, a_i=\mbox{Buzz}. * If none of the above holds, a_i=i. Find the sum of all numbers among the first N terms of the FizzBuzz sequence. Constraints * 1 \leq N \leq 10^6 Input Input is given from Standard Input in the following format: N Output Print the sum of all numbers among the first N terms of the FizzBuzz sequence. Examples Input 15 Output 60 Input 1000000 Output 266666333332
instruction
0
103,444
5
206,888
"Correct Solution: ``` s=0 N=int(input()) for a in range(1,N+1): if a%3!=0 and a%5!=0: s+=a print(s) ```
output
1
103,444
5
206,889
Provide a correct Python 3 solution for this coding contest problem. Let us define the FizzBuzz sequence a_1,a_2,... as follows: * If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}. * If the above does not hold but 3 divides i, a_i=\mbox{Fizz}. * If none of the above holds but 5 divides i, a_i=\mbox{Buzz}. * If none of the above holds, a_i=i. Find the sum of all numbers among the first N terms of the FizzBuzz sequence. Constraints * 1 \leq N \leq 10^6 Input Input is given from Standard Input in the following format: N Output Print the sum of all numbers among the first N terms of the FizzBuzz sequence. Examples Input 15 Output 60 Input 1000000 Output 266666333332
instruction
0
103,445
5
206,890
"Correct Solution: ``` print(sum([i for i in range(1, int(input())+1) if i % 3 != 0 and i % 5 != 0])) ```
output
1
103,445
5
206,891
Provide a correct Python 3 solution for this coding contest problem. Let us define the FizzBuzz sequence a_1,a_2,... as follows: * If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}. * If the above does not hold but 3 divides i, a_i=\mbox{Fizz}. * If none of the above holds but 5 divides i, a_i=\mbox{Buzz}. * If none of the above holds, a_i=i. Find the sum of all numbers among the first N terms of the FizzBuzz sequence. Constraints * 1 \leq N \leq 10^6 Input Input is given from Standard Input in the following format: N Output Print the sum of all numbers among the first N terms of the FizzBuzz sequence. Examples Input 15 Output 60 Input 1000000 Output 266666333332
instruction
0
103,446
5
206,892
"Correct Solution: ``` n=int(input()) ct=0 for i in range(1,n+1): if i%3!=0 and i%5!=0: ct+=i print(ct) ```
output
1
103,446
5
206,893
Provide a correct Python 3 solution for this coding contest problem. Let us define the FizzBuzz sequence a_1,a_2,... as follows: * If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}. * If the above does not hold but 3 divides i, a_i=\mbox{Fizz}. * If none of the above holds but 5 divides i, a_i=\mbox{Buzz}. * If none of the above holds, a_i=i. Find the sum of all numbers among the first N terms of the FizzBuzz sequence. Constraints * 1 \leq N \leq 10^6 Input Input is given from Standard Input in the following format: N Output Print the sum of all numbers among the first N terms of the FizzBuzz sequence. Examples Input 15 Output 60 Input 1000000 Output 266666333332
instruction
0
103,447
5
206,894
"Correct Solution: ``` N = int(input()) print(sum([i for i in range(1, N+1) if i%5!=0 and i%3!=0])) ```
output
1
103,447
5
206,895
Provide a correct Python 3 solution for this coding contest problem. Let us define the FizzBuzz sequence a_1,a_2,... as follows: * If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}. * If the above does not hold but 3 divides i, a_i=\mbox{Fizz}. * If none of the above holds but 5 divides i, a_i=\mbox{Buzz}. * If none of the above holds, a_i=i. Find the sum of all numbers among the first N terms of the FizzBuzz sequence. Constraints * 1 \leq N \leq 10^6 Input Input is given from Standard Input in the following format: N Output Print the sum of all numbers among the first N terms of the FizzBuzz sequence. Examples Input 15 Output 60 Input 1000000 Output 266666333332
instruction
0
103,448
5
206,896
"Correct Solution: ``` S = int(input()) print(sum([i+1 for i in range(S) if not ((i+1)%3==0 or (i+1)%5==0 )])) ```
output
1
103,448
5
206,897
Provide a correct Python 3 solution for this coding contest problem. Let us define the FizzBuzz sequence a_1,a_2,... as follows: * If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}. * If the above does not hold but 3 divides i, a_i=\mbox{Fizz}. * If none of the above holds but 5 divides i, a_i=\mbox{Buzz}. * If none of the above holds, a_i=i. Find the sum of all numbers among the first N terms of the FizzBuzz sequence. Constraints * 1 \leq N \leq 10^6 Input Input is given from Standard Input in the following format: N Output Print the sum of all numbers among the first N terms of the FizzBuzz sequence. Examples Input 15 Output 60 Input 1000000 Output 266666333332
instruction
0
103,449
5
206,898
"Correct Solution: ``` n = int(input()) print(sum(filter(lambda x : x % 3 != 0 and x % 5 != 0, range(1, n+1)))) ```
output
1
103,449
5
206,899
Provide a correct Python 3 solution for this coding contest problem. Let us define the FizzBuzz sequence a_1,a_2,... as follows: * If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}. * If the above does not hold but 3 divides i, a_i=\mbox{Fizz}. * If none of the above holds but 5 divides i, a_i=\mbox{Buzz}. * If none of the above holds, a_i=i. Find the sum of all numbers among the first N terms of the FizzBuzz sequence. Constraints * 1 \leq N \leq 10^6 Input Input is given from Standard Input in the following format: N Output Print the sum of all numbers among the first N terms of the FizzBuzz sequence. Examples Input 15 Output 60 Input 1000000 Output 266666333332
instruction
0
103,450
5
206,900
"Correct Solution: ``` print(sum([i for i in range(int(input()) + 1) if (i % 3 != 0 and i % 5 != 0)])) ```
output
1
103,450
5
206,901
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us define the FizzBuzz sequence a_1,a_2,... as follows: * If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}. * If the above does not hold but 3 divides i, a_i=\mbox{Fizz}. * If none of the above holds but 5 divides i, a_i=\mbox{Buzz}. * If none of the above holds, a_i=i. Find the sum of all numbers among the first N terms of the FizzBuzz sequence. Constraints * 1 \leq N \leq 10^6 Input Input is given from Standard Input in the following format: N Output Print the sum of all numbers among the first N terms of the FizzBuzz sequence. Examples Input 15 Output 60 Input 1000000 Output 266666333332 Submitted Solution: ``` N=int(input()) print(sum([i for i in range(1,N+1) if i%3 and i%5])) ```
instruction
0
103,451
5
206,902
Yes
output
1
103,451
5
206,903
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us define the FizzBuzz sequence a_1,a_2,... as follows: * If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}. * If the above does not hold but 3 divides i, a_i=\mbox{Fizz}. * If none of the above holds but 5 divides i, a_i=\mbox{Buzz}. * If none of the above holds, a_i=i. Find the sum of all numbers among the first N terms of the FizzBuzz sequence. Constraints * 1 \leq N \leq 10^6 Input Input is given from Standard Input in the following format: N Output Print the sum of all numbers among the first N terms of the FizzBuzz sequence. Examples Input 15 Output 60 Input 1000000 Output 266666333332 Submitted Solution: ``` n=int(input()) a=0 for i in range(n): if (i+1)%3!=0 and (i+1)%5!=0 : a+=i+1 print(a) ```
instruction
0
103,452
5
206,904
Yes
output
1
103,452
5
206,905
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us define the FizzBuzz sequence a_1,a_2,... as follows: * If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}. * If the above does not hold but 3 divides i, a_i=\mbox{Fizz}. * If none of the above holds but 5 divides i, a_i=\mbox{Buzz}. * If none of the above holds, a_i=i. Find the sum of all numbers among the first N terms of the FizzBuzz sequence. Constraints * 1 \leq N \leq 10^6 Input Input is given from Standard Input in the following format: N Output Print the sum of all numbers among the first N terms of the FizzBuzz sequence. Examples Input 15 Output 60 Input 1000000 Output 266666333332 Submitted Solution: ``` N = int(input()) print(sum([i for i in range(1, N + 1) if (i % 3) != 0 and (i % 5) != 0])) ```
instruction
0
103,453
5
206,906
Yes
output
1
103,453
5
206,907
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us define the FizzBuzz sequence a_1,a_2,... as follows: * If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}. * If the above does not hold but 3 divides i, a_i=\mbox{Fizz}. * If none of the above holds but 5 divides i, a_i=\mbox{Buzz}. * If none of the above holds, a_i=i. Find the sum of all numbers among the first N terms of the FizzBuzz sequence. Constraints * 1 \leq N \leq 10^6 Input Input is given from Standard Input in the following format: N Output Print the sum of all numbers among the first N terms of the FizzBuzz sequence. Examples Input 15 Output 60 Input 1000000 Output 266666333332 Submitted Solution: ``` n=list(range(1,int(input())+1)) print(sum([i for i in n if i%3!=0and i%5!=0])) ```
instruction
0
103,454
5
206,908
Yes
output
1
103,454
5
206,909
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us define the FizzBuzz sequence a_1,a_2,... as follows: * If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}. * If the above does not hold but 3 divides i, a_i=\mbox{Fizz}. * If none of the above holds but 5 divides i, a_i=\mbox{Buzz}. * If none of the above holds, a_i=i. Find the sum of all numbers among the first N terms of the FizzBuzz sequence. Constraints * 1 \leq N \leq 10^6 Input Input is given from Standard Input in the following format: N Output Print the sum of all numbers among the first N terms of the FizzBuzz sequence. Examples Input 15 Output 60 Input 1000000 Output 266666333332 Submitted Solution: ``` n = input() sum = 0 for i in range(1, n+1): if i % 3 != 0 and i % 5 != 0: sum += i print(sum) ```
instruction
0
103,455
5
206,910
No
output
1
103,455
5
206,911
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us define the FizzBuzz sequence a_1,a_2,... as follows: * If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}. * If the above does not hold but 3 divides i, a_i=\mbox{Fizz}. * If none of the above holds but 5 divides i, a_i=\mbox{Buzz}. * If none of the above holds, a_i=i. Find the sum of all numbers among the first N terms of the FizzBuzz sequence. Constraints * 1 \leq N \leq 10^6 Input Input is given from Standard Input in the following format: N Output Print the sum of all numbers among the first N terms of the FizzBuzz sequence. Examples Input 15 Output 60 Input 1000000 Output 266666333332 Submitted Solution: ``` n = int(input()) s = 0 for i in range(1, n): if i % 3 != 0 and i % 5 != 0: s += i print(s) ```
instruction
0
103,456
5
206,912
No
output
1
103,456
5
206,913
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let us define the FizzBuzz sequence a_1,a_2,... as follows: * If both 3 and 5 divides i, a_i=\mbox{FizzBuzz}. * If the above does not hold but 3 divides i, a_i=\mbox{Fizz}. * If none of the above holds but 5 divides i, a_i=\mbox{Buzz}. * If none of the above holds, a_i=i. Find the sum of all numbers among the first N terms of the FizzBuzz sequence. Constraints * 1 \leq N \leq 10^6 Input Input is given from Standard Input in the following format: N Output Print the sum of all numbers among the first N terms of the FizzBuzz sequence. Examples Input 15 Output 60 Input 1000000 Output 266666333332 Submitted Solution: ``` # coding: utf-8 # Your code here! N = int(input()) ans = 0 for i in range(N): if i % 3 == 0 or i % 5 == 0: pass else: ans += i print(ans) ```
instruction
0
103,457
5
206,914
No
output
1
103,457
5
206,915
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You have N items and a bag of strength W. The i-th item has a weight of w_i and a value of v_i. You will select some of the items and put them in the bag. Here, the total weight of the selected items needs to be at most W. Your objective is to maximize the total value of the selected items. Constraints * 1 ≤ N ≤ 100 * 1 ≤ W ≤ 10^9 * 1 ≤ w_i ≤ 10^9 * For each i = 2,3,...,N, w_1 ≤ w_i ≤ w_1 + 3. * 1 ≤ v_i ≤ 10^7 * W, each w_i and v_i are integers. Input Input is given from Standard Input in the following format: N W w_1 v_1 w_2 v_2 : w_N v_N Output Print the maximum possible total value of the selected items. Examples Input 4 6 2 1 3 4 4 10 3 4 Output 11 Input 4 6 2 1 3 7 4 10 3 6 Output 13 Input 4 10 1 100 1 100 1 100 1 100 Output 400 Input 4 1 10 100 10 100 10 100 10 100 Output 0 Submitted Solution: ``` N,W=map(int,input().split()) from collections import* d=defaultdict(int) d[0]=0 for i in range(N): w,v=map(int,input().split()) for k,b in d.copy().items(): if k+w<=W: d[k+w]=max(b,d[k]+v) print(max(d.values())) ```
instruction
0
103,558
5
207,116
No
output
1
103,558
5
207,117
Provide a correct Python 3 solution for this coding contest problem. Write a program which computes the digit number of sum of two integers a and b. Constraints * 0 ≤ a, b ≤ 1,000,000 * The number of datasets ≤ 200 Input There are several test cases. Each test case consists of two non-negative integers a and b which are separeted by a space in a line. The input terminates with EOF. Output Print the number of digits of a + b for each data set. Example Input 5 7 1 99 1000 999 Output 2 3 4
instruction
0
103,566
5
207,132
"Correct Solution: ``` import math while True: try: line = input().split(" ") print(int(math.log10(int(line[0])+int(line[1])))+1) except: exit() ```
output
1
103,566
5
207,133
Provide a correct Python 3 solution for this coding contest problem. Write a program which computes the digit number of sum of two integers a and b. Constraints * 0 ≤ a, b ≤ 1,000,000 * The number of datasets ≤ 200 Input There are several test cases. Each test case consists of two non-negative integers a and b which are separeted by a space in a line. The input terminates with EOF. Output Print the number of digits of a + b for each data set. Example Input 5 7 1 99 1000 999 Output 2 3 4
instruction
0
103,567
5
207,134
"Correct Solution: ``` for line in open(0).readlines(): a, b = map(int, line.split()) c = a+b ans = +(c == 0) while c: ans += 1 c //= 10 print(ans) ```
output
1
103,567
5
207,135