Software Engineer

You are given an integer ‘N’ and two strings ‘S’ and 'R' each having size = ‘N’. You can scramble the string ‘S’ to obtain string 'R' using the following operations:

1. If the length of the string is greater than 1:

Select any random index and split the string into two non-empty substrings. For e.g: if the string is ‘S’, then divide it into two non-empty substrings ‘A’ and ‘B’ such that ‘S’ = ‘A’ + ‘B’.

You can choose to swap the two substrings or keep them in the same order, i.e., after this operation string ‘S’ may become either ‘S’ = ‘A’ + ‘B’ or ‘S’ = ‘B’ + ‘A’.

Apply the first step recursively on each of the two strings ‘A’ and ‘B’.

2. If the length of the string is equal to 1 then stop.

Your task is to return true if 'R' is a scrambled string of ‘S’ else return false.

Note:

1. Both the strings are non-empty and are of the same length.

2. You can apply the above operations any number of times on ‘S’.

3. The operations can only be applied on the string ‘S’.

4. ‘S’ and 'R' consist of lowercase letters only.

Given a matrix where every element is either 1 or 0(zero), replace 0 with 1 if surrounded by 1. A 0 (or a set of 0s) is considered to be surrounded by 1 if there are 1 at locations just below, just above, just left and just right of it.

See the sample input.