Leetcode Problem 1536. Minimum Swaps to Arrange a Binary Grid

1536. Minimum Swaps to Arrange a Binary Grid

Leetcode Solutions

Greedy Approach with Trailing Zero Count

  1. Initialize an array trailing_zeros to store the count of trailing zeros for each row.
  2. For each row i from 0 to n-1, count the number of trailing zeros and store it in trailing_zeros[i].
  3. Initialize steps to 0, which will count the minimum number of swaps needed.
  4. For each row i from 0 to n-1, do the following: a. Calculate the required number of trailing zeros for the current row, which is n - i - 1. b. Find the nearest row below the current one that has at least the required number of trailing zeros. c. If such a row is found, increment steps by the distance between the current row and the found row, and perform the swaps by updating the trailing_zeros array. d. If no such row is found, return -1 as it is impossible to make the grid valid.
  5. Return steps as the minimum number of swaps needed.
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Bubble Sort Inspired Approach

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