Minimum substring flips required to convert a Binary String to another
Given two binary strings S1 and S2 of size N and M respectively, the task is to find the minimum number of reversal of substrings of equal characters required to convert the string S1 to S2. If it is not possible to convert the string S1 to S2, then print “-1”.
Input: S1 = “100001”, S2 = “110111”
Initially string S1 = “100001”.
Reversal 1: Reverse the substring S1[1, 1], then the string S1 becomes “110001”.
Reversal 2: Reverse the substring S1[3, 4], then the string S1 becomes “110111”.
After the above reversals, the string S1 and S2 are equal.
Therefore, the count of reversals is 2.
Input: S1 = 101, S2 = 10
Approach: Follow the below steps to solve this problem:
- Initialize a variable, say answer, to store the resultant count of reversal required.
- If the length of the given strings S1 and S2 are not the same, then print “-1”.
- Iterate over the range [0, N – 1] and perform the following steps:
- If S1[i] and S2[i] are not the same, then iterate till S1[i] and S2[i] are the same. Increment the answer by 1 as the current substring needs to be flipped.
- Otherwise, continue to the next iteration.
- After completing the above steps, print the value of the answer as the resultant flipping of substrings required.
Below is the implementation of the above approach:
Time Complexity: O(N)
Auxiliary Space: O(1)