[2020.10.28 SSL Simulation Tournament T3] Sum of Interval Sum [Number Theory]

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analysis:

Find the formula:
for iii包含a [i] a [i]a [ i ] Imaginary unit sharingi ∗ (n − i + 1) i * (n-i + 1)i(ni+1 ) one of thea [i] a [i]a [ i ] Completion of calculationi ∗ (n − i + 1) i * (n-i + 1)i(ni+1 ) times
lastaccumulateto

CODE:

#include<iostream>
#include<cstdio>
#include<algorithm>
using namespace std;
const long long p=1e9+7;
long long n,x,ans;
int main(){
    
    
	scanf("%lld",&n); 
	for(long long i=1;i<=n;i++)
	{
    
    
		scanf("%lld",&x);
		ans=(ans+x*(i*(n-i+1)))%p;  //累加 公式
	}
	printf("%lld",ans%p);
	
	return 0;
}

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Origin blog.csdn.net/dgssl_xhy/article/details/109340895