Problem Description
The GNU Compiler Collection (usually shortened to GCC) is a compiler system produced by the GNU Project supporting various programming languages. But it doesn’t contains the math operator “!”.
In mathematics the
symbol represents the factorial operation. The expression n! means "the product
of the integers from 1 to n". For example, 4! (read four factorial) is 4 × 3 × 2
× 1 = 24. (0! is defined as 1, which is a neutral element in multiplication, not
multiplied by anything.)
We want you to help us with this formation: (0! + 1!
+ 2! + 3! + 4! + ... + n!)%m
In mathematics the
symbol represents the factorial operation. The expression n! means "the product
of the integers from 1 to n". For example, 4! (read four factorial) is 4 × 3 × 2
× 1 = 24. (0! is defined as 1, which is a neutral element in multiplication, not
multiplied by anything.)
We want you to help us with this formation: (0! + 1!
+ 2! + 3! + 4! + ... + n!)%m
Input
The first line consists of an integer T, indicating the
number of test cases.
Each test on a single consists of two integer n and
m.
number of test cases.
Each test on a single consists of two integer n and
m.
Output
Output the answer of (0! + 1! + 2! + 3! + 4! + ... +
n!)%m.
n!)%m.
Constrains
0 < T <= 20
0 <= n < 10^100 (without
leading zero)
0 < m < 1000000
Sample Input
1
10 861017
10 861017
Sample Output
593846
Source
#include<iostream>
#include<cstring>
#include<cstdio>
#include<cmath> using namespace std; char s[]; int main()
{
long long t,n,md,a,i,sum,l;
cin>>t;
while(t--)
{
cin>>s>>md;
l = strlen(s);
n = ;
if(l>)n = md;
else
for(i = ;i<l;i++)
n = n*+s[i]-'';
sum = a = ;
for(i = ;i<=n;i++)
{
a = (a*i)%md;
sum = (sum+a)%md;
}
sum%=md;
cout<<sum<<endl;
}
return ;
}