ZOJ 3080 Chibi（Floyd）

赤壁

传送门
题目描述

watashi’s mm is so pretty as well as smart. Recently, she has watched the movie Chibi. So she knows more about the War of ChiBi. In the war, Cao Cao had 800,000 soldiers, much more than his opponents’. But he was defeated. One of the mistakes he made was that he connected some of his boats together, and these boats were burned by the clever opponents.
Then an interesting problem occurs to watashi’s mm. She wants to use this problem to check whether watashi is as smart as her. However, watashi has no idea about the problem. So he turns to you for help.
You know whether two boats are directly connected and the distance between them. And Fire’s speed to spread between boats is 1m/s. You also know the time your soldiers need to travel from your camp to each boat. Because burning Cao Cao’s boat is a very dangerous job, you must choose the least number of soldiers, and each one can only burn one boat. How much time do you need to burn all the Cao Cao’s boats?

Input

The input contains several test cases. Each test case begins with a line contains only one integer

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