# There is a war

Problem Description
There is a sea.
There are N islands in the sea.
There are some directional bridges connecting these islands.
There is a country called Country One located in Island 1.
There is another country called Country Another located in Island N.
There is a war against Country Another, which launched by Country One.
There is a strategy which can help Country Another to defend this war by destroying the bridges for the purpose of making Island 1 and Island n disconnected.
There are some different destroying costs of the bridges.
There is a prophet in Country Another who is clever enough to find the minimum total destroying costs to achieve the strategy.
There is an architecture in Country One who is capable enough to rebuild a bridge to make it unbeatable or build a new invincible directional bridge between any two countries from the subset of island 2 to island n-1.
There is not enough time for Country One, so it can only build one new bridge, or rebuild one existing bridge before the Country Another starts destroying, or do nothing if happy.
There is a problem: Country One wants to maximize the minimum total destroying costs Country Another needed to achieve the strategy by making the best choice. Then what’s the maximum possible result?

Input
There are multiple cases in this problem.
There is a line with an integer telling you the number of cases at the beginning.
The are two numbers in the first line of every case, N(4<=N<=100) and M(0<=M<=n*(n-1)/2), indicating the number of islands and the number of bridges.
There are M lines following, each one of which contains three integers a, b and c, with 1<=a, b<=N and 1<=c<=10000, meaning that there is a directional bridge from a to b with c being the destroying cost.
There are no two lines containing the same a and b.

Output
There is one line with one integer for each test case, telling the maximun possible result.

Sample Input
4
4 0
4 2
1 2 2
3 4 2
4 3
1 2 1
2 3 1
3 4 10
4 3
1 2 5
2 3 2
3 4 3

Sample Output
0
2
1
3

• 写回答

#### 1条回答默认 最新

• threenewbee 2018-01-20 16:14
关注
本回答被题主选为最佳回答 , 对您是否有帮助呢?
评论

#### 悬赏问题

• ¥15 Java与Hbase相关问题
• ¥20 bash代码推送不上去 git fetch origin master #失败了
• ¥15 LOL外服加入了反作弊系统，现在游戏录像rofl文件离线都无法打开
• ¥45 工程软件单片机设计课题要求
• ¥15 在centos7安装conda
• ¥15 c#调用yolo3 dll文件获取的数据对不上
• ¥20 WPF 如何实现多语言，label 和cs(live Charts)中是否都能翻译
• ¥15 STM32F103上电短路问题
• ¥15 打开软件提示错误：failed to get wglChoosePixelFormatARB
• ¥15 (标签-python|关键词-char)