Can someone give some hints to this problem from cf edu. Problem : D. Minimum maximum on the Path
Regards.
Can someone give some hints to this problem from cf edu. Problem : D. Minimum maximum on the Path
Regards.
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Binary search on the minimal possible maximum of the edges (aka answer)
If the maximum is some number x then you're only allowed to use edges with value less than or equal to x
Use a bfs on edges that satisfy the above condition to see if the final node is reachable in d edges, then reconstruct the path if it exists.
Hope that helps!
got it thanks
hey maxwellzen thanks for the hint, but how are you proving that it will be a .....1111110000.... or .....00000011111.... type of function in x.
I get this "If the maximum is some number x then you're only allowed to use edges with a value less than or equal to x" but how can we say that this x is the optimal answer, or no other x left or right to it?
If you can connect node 1 to node n in a way such that the maximum edge has a value at most x, then you guarantee that you can connect node 1 to node n in a way such that the maximum edge has a value greater than or equal to x. Therefore, the BS check function has the form ..00000111111..
can we apply dfs also ?
Yep!