G - Good elements
Time Limit: 20 Sec

Memory Limit: 256 MB

题目连接

http://acm.hust.edu.cn/vjudge/contest/view.action?cid=87954#problem/G

Description

You are given a sequence A consisting of N integers. We will call the i-th element good if it equals the sum of some three elements in positions strictly smaller than i (an element can be used more than once in the sum).

How many good elements does the sequence contain?

Input

The first line of input contains the positive integer N (1 ≤ N ≤ 5000), the length of the sequence A.

The second line of input contains N space-separated integers representing the sequence A ( - 105 ≤ Ai ≤ 105).

Output

The first and only line of output must contain the number of good elements in the sequence.

Sample Input

2
1 3

Sample Output

1

HINT

题意

给你n个数,问你有多少个good数

每个good数的定义是,这个数如果能被他前面的任意三个数的和构成的话,(可以重复用)就是good数

题解

n^2预处理出来所有数的两两之间的和,然后再暴力n^2找是否存在这样的和

代码:

#include <iostream>
#include <cstring>
#include <cstdio>
#include <algorithm>
#include <cmath>
#include <vector>
#include <stack>
#include <map>
#include <set>
#include <queue>
#include <iomanip>
#include <string>
#include <ctime>
#include <list>
#include <bitset>
typedef unsigned char byte;
#define pb push_back
#define input_fast std::ios::sync_with_stdio(false);std::cin.tie(0)
#define local freopen("in.txt","r",stdin)
#define pi acos(-1) using namespace std;
const int maxn = 5e3 + ;
const int limit = 1e5;
int p[maxn] , n , ans = , exist[limit * ]; int main(int argc,char *argv[])
{
scanf("%d",&n);
memset(exist,,sizeof(exist));
for(int i = ; i <= n ; ++ i) scanf("%d",p+i);
exist[p[]* + limit*] = ;
if (p[] * == p[]) ans ++;
exist[p[] + p[] + limit*] = ;
exist[p[] * + limit*] = ;
for(int i = ; i <= n ; ++ i)
{
for(int j = ; j < i ; ++ j)
{
int dis = p[i] - p[j];
if (exist[dis+limit*])
{
ans ++;
break;
}
}
for(int j = ; j < i ; ++ j)
exist[p[i]+p[j]+limit*] = ;
exist[p[i] * + limit*] = ;
}
printf("%d\n",ans);
return ;
}

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