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What does this sentence "All the paths from s to t would pass this city." ?

Posted by Nowitzki at 2007-03-04 15:09:53 on Problem 3205
Is it means that I should only count the cities which are present in each of the paths from s to t?
For example.
6 8
0 1
0 2
0 3
0 4
1 4
4 5
The answer should be 1?

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