#Consecutive Ones Matrix Augmentation








# Example usage


if __name__ == '__main__':
    def consecutive_ones_matrix_augmentation(matrix):
        rows = len(matrix)
        cols = len(matrix[0])
        def backtrack(row, col):
            if row == rows:
                return True
            if col == cols:
                return backtrack(row + 1, 0)
            if matrix[row][col] == 0:
                if can_place_one(row, col):
                    matrix[row][col] = 1
                    if backtrack(row, col + 1):
                        return True
                    matrix[row][col] = 0
            return backtrack(row, col + 1)
        def can_place_one(row, col):
            for r in range(row + 1):
                if matrix[r][col] != 1:
                    return False
            for c in range(col + 1):
                if matrix[row][c] != 1:
                    return False
            return True
        return backtrack(0, 0)
    matrix = [
        [1, 1, 0],
        [1, 0, 1],
        [0, 1, 1]
    ]
    can_augment = consecutive_ones_matrix_augmentation(matrix)
    if can_augment:
        print("Matrix can be augmented to have consecutive ones.")
    else:
        print("Matrix cannot be augmented to have consecutive ones.")
