#670. 1674. [Usaco2005]Part Acquisition

1674. [Usaco2005]Part Acquisition

#1674. [Usaco2005]Part Acquisition

题目描述

The cows have been sent on a mission through space to acquire a new milking machine for their barn. They are flying through a cluster of stars containing N (1 <= N <= 50,000) planets, each with a trading post. The cows have determined which of K (1 <= K <= 1,000) types of objects (numbered 1..K) each planet in the cluster desires, and which products they have to trade. No planet has developed currency, so they work under the barter system: all trades consist of each party trading exactly one object (presumably of different types). The cows start from Earth with a canister of high quality hay (item 1), and they desire a new milking machine (item K). Help them find the best way to make a series of trades at the planets in the cluster to get item K. If this task is impossible, output -1.

输入格式

  • Line 1: Two space-separated integers, N and K. * Lines 2..N+1: Line i+1 contains two space-separated integers, a_i and b_i respectively, that are planet i's trading trading products. The planet will give item b_i in order to receive item a_i.

输出格式

  • Line 1: One more than the minimum number of trades to get the milking machine which is item K (or -1 if the cows cannot obtain item K).

样例

样例输入

6 5   //6个星球,希望得到5,开始时你手中有1号货物.  

1 3   //1号星球,希望得到1号货物,将给你3号货物  

3 2  

2 3  

3 1  

2 5  

5 4  

样例输出

4  

  

  

OUTPUT DETAILS:  

  

The cows possess 4 objects in total: first they trade object 1 for  

object 3, then object 3 for object 2, then object 2 for object 5.

数据范围与提示