(南京区域资格赛)A-An Olympian Math Problem

本文介绍了一个数学竞赛中的难题,该题要求求解阶乘序列的特定余数,并提供了一种直接计算的方法。通过分析题目给出的样例输入输出,文章展示了一种简单的规律寻找技巧。

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Alice, a student of grade 6, is thinking about an Olympian Math problem, but she feels so
despair that she cries. And her classmate, Bob, has no idea about the problem. Thus he wants
you to help him. The problem is:
We denote k! :
这里写图片描述
You are given an integer n. You have to calculate S modulo n.
Input
The first line contains an integer T(T≤1000), denoting the number of test cases. For each
test case, there is a line which has an integer n.
It is guaranteed that 2≤n≤1018
.
Output
For each test case, print an integer S modulo n.
Sample Input
2
2
3
Sample Output
1
2
这里写图片描述

数据量这么大直接打表找规律

#include<iostream>
#include<cstdio>
using namespace std;
int main(){
    int T;
    while(~scanf("%d", &T)){
        long long n;
        while(T--){
            scanf("%lld", &n);
            printf("%lld\n", n-1); 
        }
    }
} 
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