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[ZJ][dp] a564. ITSA201205 P4 Group without direct leaders

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內容 :

In X company, everyone, except the CEO, has a direct leader. There are n persons in the company and everyone has a unique ID from 0 to n-1. The ID of the CEO is 0, and the ID of any one is larger than the one of his/her direct leader. Besides everyone has a weight which is a positive integer. We want to find a group of weight as large as possible such that no one is the direct leader of any other in the group.

輸入說明 :

The input contains three lines. The first line is an integers n, 1<n<=90000, which indicates the number of persons in the company. The second line consists of n integers which are the weights of person 0,1,…, n-1, respectively. The total weight is no more than 100,000,000. In the third line, there are n-1 integers which are the ID of direct leaders of person 1, 2,…, n-1, respectively.

輸出說明 :

Output the maximum number of person we can group in one line.

範例輸入 :

5
10 20 30 40 50
0 1 1 3

範例輸出 :

90

提示 :

出處 :

(管理:morris1028)

樹形 dp, 每個父節點有兩種狀態的最佳解, 方法數是否有包函他, 或者是沒有,
有的話, 要加上子節點都沒有的最佳解, 沒有的話, 加上子節點有或沒有的最佳解。


/**********************************************************************************/
/*  Problem: a564 "ITSA201205 P4 Group without direct leaders" from               */
/*  Language: C (657 Bytes)                                                       */
/*  Result: AC(160ms, 1.6MB) judge by this@ZeroJudge                              */
/*  Author: morris1028 at 2012-10-24 20:23:23                                     */
/**********************************************************************************/


#include <stdio.h>
#define maxN 90000
int main() {
    int n, w[maxN], p[maxN], dp[maxN][2], i; /*0 no 1 yes*/
    while(scanf("%d", &n) == 1) {
        for(i = 0; i < n; i++) {
            scanf("%d", &w[i]);
            dp[i][0] = dp[i][1] = 0;
        }
        for(i = 1; i < n; i++)
            scanf("%d", &p[i]);
        for(i = n-1; i >= 0; i--) {
            dp[i][1] += w[i];
            if(i) {
                dp[p[i]][0] += (dp[i][0] > dp[i][1] ? dp[i][0] : dp[i][1]);
                dp[p[i]][1] += dp[i][0];
            }
        }
        printf("%d\n", dp[0][0] > dp[0][1] ? dp[0][0] : dp[0][1]);
    }
    return 0;
}

台長: Morris
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