#2128 - Remove All Ones With Row and Column Flips

Medium • View on LeetCode • View on GitHub

Problem Description

You are given an m x n binary matrix grid.

In one operation, you can choose any row or column and flip each value in that row or column (i.e., changing all 0's to 1's, and all 1's to 0's).

Return true if it is possible to remove all 1's from grid using any number of operations or false otherwise.

Solution

/**
 * @param {number[][]} grid
 * @return {boolean}
 */
var removeOnes = function(grid) {
  const rows = grid.length;
  const cols = grid[0].length;
  const firstRow = grid[0];

  for (let i = 1; i < rows; i++) {
    let sameAsFirst = true;
    let oppositeToFirst = true;

    for (let j = 0; j < cols; j++) {
      if (grid[i][j] !== firstRow[j]) {
        sameAsFirst = false;
      }
      if (grid[i][j] === firstRow[j]) {
        oppositeToFirst = false;
      }
    }

    if (!sameAsFirst && !oppositeToFirst) {
      return false;
    }
  }

  return true;
};