Erdös Latino

In Erdös Latino, an abstract strategy game, two players face off, placing numbers (1–5) in a 5×5 square grid. There are five of each number. On your turn, simply place a number in a space on the grid, such that neither its row nor its column contains another instance of that number. There are two ways to win:

 Block your opponent from making a play.
 When the board is full, be the player who has claimed more columns.

You claim a column when you are the first player to form a sequence of three numbers, increasing away from you.

You can play with several different levels of information to the players:

 Random — You blindly draw the tile you must play.
 Perfect Information — The tiles form a face-up, shared pool; you take the tile you want.
 Mixed — Shuffle the tiles face-down, then give thirteen to the start player, and twelve to the other player.