这篇博客介绍了如何计算从办公室到家的不同森林路径数量。题目中，Jimmy每天下班后都会穿过一个森林回家，他希望每天走不同的路线，并且每条路线都能让他离家更近。输入包含多个测试用例，给出了森林中各个路口的连接信息和距离。输出要求是满足条件的不同路线数。样例输入和输出展示了具体的操作例子。
Problem Description
Jimmy experiences a lot of stress at work these days, especially since his accident made working difficult. To relax after a hard day, he likes to walk home. To make things even nicer, his office is on one side of a forest, and his house is on the other. A nice walk through the forest, seeing the birds and chipmunks is quite enjoyable.
The forest is beautiful, and Jimmy wants to take a different route everyday. He also wants to get home before dark, so he always takes a path to make progress towards his house. He considers taking a path from A to B to be progress if there exists a route from B to his home that is shorter than any possible route from A. Calculate how many different routes through the for
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