1.Create a file in the game's directory named "cheater" (The file's contents do not matter).
2. Go into the product and start a new game of Shanghai or Tournament or whatever (do NOT try this in a game of Pandamonium or Dynasty, as this will cause bugs to occur).
3. Press Control-Y
4. Press the spacebar to remove a pair. Do not use the mouse to point and click on tiles, as this will cause bugs to occur.

The way the cheat works is that the game creates a guaranteed winnable arrangement. Pressing spacebar follows the one known guaranteed path to winning. Removing any other tiles manually will throw everything off and may result in an odd number of tiles at the end.

Thanks to Revolution reader Amy 'Activision' King!