The position is 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0 0, 1, 0, 1, 1, 0, 0 0, 2, 0, 1, 2, 2, 2 0, 2, 1, 2, 1, 1, 2 Red can win in , 2, moves by putting its piece(1) in columns 6, 7 We will only prove it for column, 6 Red can win in , 2, moves by putting its piece(1) in column, 6 leading to position 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0 0, 1, 0, 1, 1, 1, 0 0, 2, 0, 1, 2, 2, 2 0, 2, 1, 2, 1, 1, 2 This is a double-or-nothing in columns, 6, 7