URAL - 1243 - Divorce of the Seven Dwarfs （大数取模）

1243. Divorce of the Seven Dwarfs

Time limit: 1.0 second

Memory limit: 64 MB

After the Snow White with her bridegroom had left the house of the seven dwarfs, their peaceful and prosperous life has come to an end. Each dwarf blames others to be the reason of the Snow White's
leave. To stop everlasting quarrels, the dwarfs decided to part. According to an ancient law, their common possessions should be divided in the most fair way, which means that all the dwarfs should get equal parts. Everything that the dwarfs cannot divide
in a fair way they give to the Snow White. For example, after dividing 26 old boots, each dwarf got 3 old boots, and the Snow White got the remaining 5 old boots. Some of the numbers are very large, for example, the dwarfs have 123456123456 poppy seeds, so
it is not easy to calculate that the Snow White gets only one seed. To speed up the divorce, help the dwarfs to determine quickly the Snow White's part.

Input

The only line contains an integer N that represents the number of similar items that the dwarfs want to divide (1 ≤ N ≤ 1050).

Output

You should output the number of items that pass into the possession of the Snow White.

Sample

input	output
123456123456	1

Problem Author: Stanislav Vasilyev

Problem Source: Ural State University Personal Programming Contest, March 1, 2003

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AC代码：

#include <map>
#include <set>
#include <cmath>
#include <deque>
#include <queue>
#include <stack>
#include <cstdio>
#include <cctype>
#include <string>
#include <vector>
#include <cstdlib>
#include <cstring>
#include <iostream>
#include <algorithm>
#define LL long long
#define INF 0x7fffffff
using namespace std;
 
char s[105];
 
int main() {
	scanf("%s", s);
	int len = strlen(s);
	int ans = s[0] - '0';
	for(int i = 1; i < len; i ++) {
		ans = (ans * 10 + s[i] - '0') % 7;
	}
	printf("%d\n", ans);
	return 0;
}