Domino Little Harp Game

The game "Domino Little Harp" is played with a set of dominoes up to six. All dominoes are shuffled and placed face down in 7 columns. The first column has 1 tile, the second has 2 tiles, the third has 3 tiles, etc. So the last column has 7 tiles. The bottom tile in each column is flipped upwards. The tiles face up can be moved from one column to another by matching the ends. Each time a face up mosaic is moved from one column to another, the face down mosaic at the bottom of the column (if any) is flipped face up. An empty column can be filled with any tile or group of tiles upwards in a game of small harp. The game is won when all tiles are turned face up.