spoj: classical ⇝ rtree ⇝ Roger and tree

This would have been an easy problem if the N is <= 10000, as we can easily formulate the recurrence function.

lposra ←←←←← longestPathOfSubtreeRootedAt

                   ⇛⇛⇛⇛⇛⇛⇛⇛ lposra[i]            
lposra[n] ⇶⇶ max                                       ⇰⇰⇰⇰ ∀ i ∈ children of n
                   ⇛⇛⇛⇛⇛⇛⇛⇛ 1stMax(depths[i]) \
                              + 2ndMax(depths[i]) + 1

but as N can be 105 the recursive solution gave me SIGSEGV. i just couldn’t think of any other way to solve this so flatted my recursive function into traversing and resolving parts and submitted it with 9.35s. but there is a solution with 0.35s, I couldn’t think of another way to solve this. 😦



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