Lucky Numbers

Your challenge in Lucky Numbers is to fill your grid first, but you never know which tiles you'll have to work with! To set up, take a set of tiles numbered 1-20 for each player in the game, then shuffle all of these tiles face down. Each player has a 4x4 grid, and to complete set up, each player takes four tiles at random, then places them in order from low to high down the diagonal that goes from upper left to lower right. On a turn, you take either a face-down tile from the pile or a face-u