码迷,mamicode.com
首页 > 其他好文 > 详细

CodeForces 115A Party

时间:2016-08-18 16:04:44      阅读:151      评论:0      收藏:0      [点我收藏+]

标签:

题目:

Description

A company has n employees numbered from 1 to n. Each employee either has no immediate manager or exactly one immediate manager, who is another employee with a different number. An employee A is said to be the superior of another employee B if at least one of the following is true:

  • Employee A is the immediate manager of employee B
  • Employee B has an immediate manager employee C such that employee A is the superior of employee C.

The company will not have a managerial cycle. That is, there will not exist an employee who is the superior of his/her own immediate manager.

Today the company is going to arrange a party. This involves dividing all n employees into several groups: every employee must belong to exactly one group. Furthermore, within any single group, there must not be two employees Aand B such that A is the superior of B.

What is the minimum number of groups that must be formed?

Input

The first line contains integer n (1?≤?n?≤?2000) — the number of employees.

The next n lines contain the integers pi (1?≤?pi?≤?n or pi?=?-1). Every pi denotes the immediate manager for the i-th employee. If pi is -1, that means that the i-th employee does not have an immediate manager.

It is guaranteed, that no employee will be the immediate manager of him/herself (pi?≠?i). Also, there will be no managerial cycles.

Output

Print a single integer denoting the minimum number of groups that will be formed in the party.

Sample Input

Input
5
-1
1
2
1
-1
Output
3

这个题目就是给你一个有向无环图,要你求最长路径。

可以用搜索的方法,也可以用并查集。

并查集的方法是,把这个图看成若干颗树,求这些树的深度的最大值。

只需要记录每个节点的father即可得到所有的树。

比如本题:

技术分享

有2颗树,深度分别为3和1,所以答案是3

代码:

#include<iostream>
#include<stdio.h>
using namespace std;

int fa[2001];
int deep[2001];

int getdeep(int i)
{
	if (deep[i]>0)return deep[i];
	if (fa[i] == -1)return 1;
	deep[i] = getdeep(fa[i]) + 1;
	return deep[i];
}

int main()
{
	int n, r = 0;
	cin >> n;
	for (int i = 1; i <= n; i++)
	{
		cin >> fa[i];
		deep[i] = -1;
	}
	for (int i = 1; i <= n; i++)if (r < getdeep(i))r = getdeep(i);
	cout << r;
	return 0;
}

CodeForces 115A Party

标签:

原文地址:http://blog.csdn.net/nameofcsdn/article/details/52240695

(0)
(0)
   
举报
评论 一句话评论(0
登录后才能评论!
© 2014 mamicode.com 版权所有  联系我们:gaon5@hotmail.com
迷上了代码!