results The following statements refer to the first player in the weak game, assuming that both players use an optimal strategy. If a particular (m0, n0, k0) is a draw, then (m0, n0, k) with k ≥ k0 is a draw, and (m, n, k0) with m ≤ m0 and n ≤ n0 is a draw. Likewise, if (m0, n0, k0) is a win, then (m0, n0, k) with k ≤ k0 is a win, and (m, n, k0) with m ≥ m0 and n ≥ n0 is a win. k ≥ 9 is a draw: when k = 9 and the board is infinite, the second player can draw via a "pairing strategy". A draw on an infinite board means that the game will go on forever with perfect play. A pairing strategy involves dividing all the squares of the board into pairs in such a way that by always playing on the pair of the first player's square, the second player is ensured that the first player cannot get k in a line. A pairing strategy on an infinite board can be applied to any finite board as well – if the strategy calls for making a move outside the board, then the second player makes an arbitrary move inside the board. k ≥ 8 is a draw on an infinite board. It is not clear if this strategy applies to any finite board sizes. It is not known if the second player can force a draw when k is 6 or 7 on an infinite board. k ≥ 3 and either k > m or k > n is a draw, also by a pairing strategy in the dimension not smaller than k (or trivially impossible to win if both are smaller) Specific results k = 1 and k = 2 are trivial wins, except for (1,1,2) and (2,1,2) (3,3,3) is a draw (see Tic-tac-toe), and (m,n,3) is a draw if m < 3 or n < 3. (m,n,3) is a win if m ≥ 3 and n ≥ 4 or m ≥ 4 and n ≥ 3. (5,5,4) is a draw, which means that (m,n,4) is a draw for m ≤ 5 and n ≤ 5, and (6,5,4) is a win, which means that (m,n,4) is a win for m ≥ 6 and n ≥ 5 or m ≥ 5 and n ≥ 6. (m,4,4) is