Problem #PRU-100665

Problems Methods Invariants and semi-invariants Invariants

Problem

All the squares of a \(9 \times 9\) chessboard were coloured black and white in a traditional way, such that the corner squares are all white. In each move, you can choose two neighbouring squares and change both of their colours – black to white and white to black. Can you reach a chessboard that is all black in this way?