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codeforces --- 115A

时间:2014-03-16 23:13:08      阅读:664      评论:0      收藏:0      [点我收藏+]
A. Party
time limit per test
3 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

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 A and 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 test(s)
input
5
-1
1
2
1
-1
output
3

思路:求树的高度。用并查集,不要压缩路径。


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 1 #include<iostream>
 2 #include<cstdio>
 3 #include<cstring>
 4 using namespace std;
 5 int father[2005], cnt;
 6 int max(int x, int y)
 7 {
 8     return x > y ? x : y;
 9 }
10 void init(int n)
11 {
12     for(int i = 1;i <= n;i ++)
13         father[i] = i;
14 }
15 
16 void find(int x)
17 {
18     if(x == father[x])
19         return;
20     cnt ++;
21     find(father[x]);
22 }
23 
24 void unit(int x, int y)
25 {
26     father[x] = y;
27     return ;
28 }
29 
30 int main(int argc, char const *argv[]) 
31 {
32     int n, ans, temp;
33     while(~scanf("%d", &n))
34     {
35         init(n);
36         for(int i = 1;i <= n;i ++)
37         {
38             scanf("%d", &temp);
39             if(temp != -1)
40                 unit(i, temp);
41         }
42         ans = 0;
43         for(int i = 1;i <= n;i ++)
44         {
45             cnt = 0;
46             find(i);
47             ans = max(ans, cnt);
48         }
49         printf("%d\n", ans+1);
50     }
51     return 0;
52 }
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codeforces --- 115A,布布扣,bubuko.com

codeforces --- 115A

原文:http://www.cnblogs.com/anhuizhiye/p/3603585.html

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