The shortest problem
Time Limit: 3000/1500 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 532 Accepted Submission(s): 271
Problem Description
In this problem, we should solve an interesting game. At first, we have an integer n, then we begin to make some funny change. We sum up every digit of the n, then insert it to the tail of the number n, then let the new number be the interesting number n. repeat it for t times. When n=123 and t=3 then we can get 123->1236->123612->12361215.
Input
Multiple input.
We have two integer n (0<=n<= 104 ) , t(0<=t<= 105 ) in each row.
When n==-1 and t==-1 mean the end of input.
We have two integer n (0<=n<= 104 ) , t(0<=t<= 105 ) in each row.
When n==-1 and t==-1 mean the end of input.
Output
For each input , if the final number are divisible by 11, output “Yes”, else output ”No”. without quote.
Sample Input
35 2 35 1 -1 -1
Sample Output
Case #1: Yes Case #2: No
Source
模拟:s1记录得到数字对11的模数,s记录所有数字之和。
#include<iostream>
#include<cstdio>
#include<cstring>
using namespace std;
int main(){
int n,t,tt=1;
while(scanf("%d%d",&n,&t),n!=-1){
int s = 0,s1=n%11;
while(n){
s += n%10;
n /= 10;
}
for(int i = 0;i < t; i++){
int f = s,f1=s;
while(f){
s += f%10;
s1 = s1*10%11;
f/=10;
}
s1 = (s1 + f1) % 11;
}
printf("Case #%d: ",tt++);
if(s1 == 0) printf("Yes\n");
else printf("No\n");
}
return 0;
}

本文介绍了一个有趣的数字游戏,通过累加数字并将其追加到原数末尾的方式,进行多次迭代,最终判断生成的数字是否能被11整除。通过模拟实现的方法,提供了一种简洁高效的解决方案。
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