G.Interference Signal---河南省第八届程序设计大赛（dp）

Posted 2020-07-12 啦咯

G.Interference Signal

时间限制: 2 Sec  内存限制: 128 MB
提交: 47  解决: 18
[提交][状态]

题目描述

Dr.Kong’s laboratory monitor some interference signals. The interference signals can be digitized into a series of positive integer. May be, there are N integers a1,a2,…,an.

 

Dr.Kong wants to know the average strength of a contiguous interference signal block. the block must contain at least M integers.

 

Please help Dr.Kong to calculate the maximum average strength, given the constraint.

输入

The input contains K test cases. Each test case specifies:

* Line 1: Two space-separated integers, N and M.

* Lines2~line N+1:  ai  (i=1,2,…,N)

1 ≤ K≤ 8,  5 ≤ N≤ 2000,   1 ≤ M ≤ N,  0 ≤ ai ≤9999

输出

the maximum average strength

样例输入

2
10 6
6 
4
2
10
3
8
5
9
4
1
5 2
10
3
8
5 
9

样例输出

6500
7333
题目大意： 求连续序列大于等于k个的最大平均 值  
dp[i][j] 表示在j的位置的i个连续序列的最大和     dp[i][j] = max(dp[i-1][j-1] + a[j], dp[i][j])

只要公式推出来就很容易了

#include<stdio.h>
#include<string.h>
#include<stdlib.h>
#include<math.h>
#include<algorithm>
#include<iostream>
#include<vector>
#include <queue>

using namespace std;
#define N 2500
#define ESP 1e-8
#define INF 0x3f3f3f3f
#define memset(a,b) memset(a,b,sizeof(a))

int a[N];
int dp[N][N];

int main()
{
    int T,n,k;
    scanf ("%d", &T);
    while(T --)
    {
        scanf("%d %d", &n, &k);
        for(int i=1; i<=n; i++)
            scanf("%d", &a[i]);

        memset(dp, 0);

        dp[1][1]=a[0];

        for(int i=1; i<=n; i++)
        {
            for(int j=1; j<=n; j++)
            {
                dp[i][j] = max(dp[i][j], dp[i-1][j-1]+a[j]);
            }
        }

        double Max=0;

        for(int i=k; i<=n; i++)
        {
            for(int j=i; j<=n; j++)
            {
                Max = max(Max, dp[i][j]*1.0/i*1.0);
            }
        }

        printf("%d\n", (int)(Max*1000.0));
    }
    return 0;
}