Editorial for Mock CCC 25 S4 - Perfect Numbers


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Author: Qstrich

There are two main observations needed for this problem. First, a number is "perfect" if it contains either one of two cases:

\(2\) consecutive digits that are equal

\(3\) consecutive digits that are all different

If either of these conditions are true, a number will always be perfect.

Subtask 1 [3/15]

This subtask rewards brute force solutions.

Time Complexity: \(O(R-L+1)\).

Subtask 2 [12/15]

Since we only need to keep track of \(3\) digits at a time, this problem can be solved using digit dp.

Time Complexity: \(O(log(R-L+1))\)


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