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⇱ Minimum flips to make all 1s in left and 0s in right | Set 1 (Using Bitmask) - GeeksforGeeks


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Minimum flips to make all 1s in left and 0s in right | Set 1 (Using Bitmask)

Last Updated : 25 Jul, 2022

Given a binary array, we can flip all the 1 are in the left part and all the 0 to the right part. Calculate the minimum flips required to make all 1s in left and all 0s in right.

Examples: 

Input: 1011000 
Output: 1
1 flip is required to make it 1111000.

Input : 00001 
Output : 2
2 flips required to make it 10000.

For solving this problem we use bitmasking. First, we convert this array to a string, then we find the equivalent decimal number of that binary string. We try all masks with all possibilities of 1s in left and 0s in right. We iterate a loop till the decimal number becomes zero. Each time we will do bitwise XOR of the number with mask and the number of ones in XOR value will be the number of flips required. We decrease n by 1 and update the mask.

  1. Take binary array as input 
  2. Convert array to string and then the equivalent decimal number(num) 
  3. Take initial mask value and iterate till num <= 0 
  4. Find required flips using (num XOR mask) 
  5. Find minimum flips and decrease num and update mask 
  6. Return the minimum count

Implementation:

Output: 

1

Time Complexity: O(n)
Space Complexity: O(n)

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