Given a string which contains only (increase) and (decrease). The task is to return any permutation of integers [0, 1, …, N] where N ≤ Length of S such that for all i = 0, …, N-1:
- If S[i] == “D”, then A[i] > A[i+1]
- If S[i] == “I”, then A[i] < A[i+1].
Note that output must contain distinct elements.
Input: S = “DDI”
Output: [3, 2, 0, 1]
Input: S = “IDID”
Output: [0, 4, 1, 3, 2]
Approach: If S == “I”, then choose as the first element. Similarly, if S == “D”, then choose as the first element. Now for every operation, choose the next maximum element which hasn’t been chosen before from the range [0, N] and for the operation, choose the next minimum.
Below is the implementation of the above approach:
[0, 4, 1, 3, 2]
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