1323. Primitivus

单点时限: 2.0 sec

内存限制: 256 MB

A genetic code of the abstract primitivus (Primitivus recurencis) is a series of natural numbers K=(a_1,…,a_n). A feature of primitivus we call each ordered pair of numbers (l,r), which appears successively in the genetic code, i.e. there exists such i that l=a_i, r=a_i+1. There are no (p,p) features in a primitivus’ genetic code.

Task

Write a program which:

1.reads the list of the features,

2.computes the length of the shortest genetic code having given features,

3.writes the results.

输入格式

In the first line of the input one positive integer number n is written. It is the number of different features of the primitivus. In each of the following n lines there is a pair of natural numbers l and r separated by a single space, 1 <= l <= 1000, 1 <= r <= 1000. A pair (l, r) is one of the primitivus’ features. The features do not repeat in the input file

输出格式

Your program should write, in the first and only line, exactly one integer number equal to the length of the shortest genetic code of the primitivus, comprising the features .

样例

Input
12
2 3
3 9
9 6
8 5
5 7
7 6
4 5
5 1
1 4
4 2
2 8
8 6
Output
15
hint:
All the features from the file PIE.IN are written in the following genetic code:
(8, 5, 1, 4, 2, 3, 9, 6, 4, 5, 7, 6, 2, 8, 6)

2 人解决,7 人已尝试。

2 份提交通过,共有 18 份提交。

9.5 EMB 奖励。

创建: 16 年,9 月前.

修改: 6 年,8 月前.

最后提交: 3 年,5 月前.

来源: POI 1999 III Stage

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