C. Kuroni and Impossible Calculation---------------------思维(鸽巢原理)

To become the king of Codeforces, Kuroni has to solve the following problem.

He is given n numbers a1,a2,…,an. Help Kuroni to calculate ∏1≤i<j≤n|ai−aj|. As result can be very big, output it modulo m.

If you are not familiar with short notation, ∏1≤i<j≤n|ai−aj| is equal to |a1−a2|⋅|a1−a3|⋅ … ⋅|a1−an|⋅|a2−a3|⋅|a2−a4|⋅ … ⋅|a2−an|⋅ … ⋅|an−1−an|. In other words, this is the product of |ai−aj| for all 1≤i<j≤n.

Input
The first line contains two integers n, m (2≤n≤2⋅105, 1≤m≤1000) — number of numbers and modulo.

The second line contains n integers a1,a2,…,an (0≤ai≤109).

Output
Output the single number — ∏1≤i<j≤n|ai−aj|modm.

Examples
inputCopy

2 10
8 5
outputCopy
3
inputCopy
3 12
1 4 5
outputCopy
0
inputCopy
3 7
1 4 9
outputCopy
1
Note
In the first sample, |8−5|=3≡3mod10.

In the second sample, |1−4|⋅|1−5|⋅|4−5|=3⋅4⋅1=12≡0mod12.

In the third sample, |1−4|⋅|1−9|⋅|4−9|=3⋅8⋅5=120≡1mod7.

题意:
在这里插入图片描述

解析:
发现n很大,m很小,那么n>m 就可以输出0了
为什么?????
因为鸽巢原理 n>m 时,取余之后0~m-1一定有重复的。所以输出0

其他的暴力就完事了


#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N=2e5+1000;
int n;
ll m;
ll a[N];
int main()
{
	scanf("%d %lld",&n,&m);
	for(int i=1;i<=n;i++) scanf("%lld",&a[i]);
	if(n>m)
	{
		cout<<0<<endl;
		return 0;
	}
	ll ans=1;
	for(int i=1;i<=n;i++)
	{
		for(int j=i+1;j<=n;j++)
		{
			ans=ans*abs(a[i]-a[j])%m;
			
		}
	}
	cout<<ans<<endl;
 } 
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转载自blog.csdn.net/qq_43690454/article/details/104691897