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2128. Remove All Ones With Row and Column Flips (Medium)

Related Topics

[Bit Manipulation] [Array] [Math] [Matrix]

Hints

Hint 1

Does the order, in which you do the operations, matter?

Hint 2

No, it does not. An element will keep its original value if the number of operations done on it is even and vice versa. This also means that doing more than 1 operation on the same row or column is unproductive.

Hint 3

Try working backward, start with a matrix of all zeros and try to construct grid using operations.

Hint 4

Start with operations on columns, after doing them what do you notice about each row?

Hint 5

Each row is the exact same. If we then flip some rows, that leaves only two possible arrangements for each row: the same as the original or the opposite.