Equality - The New Number Game

Equality is a fun game in which you are presented with a certain initial value and a set of numbered tiles. Your goal is to flip these tiles to reach a random target value in the fewest moves possible. Each tile's value is a certain power of 3. The game is based on the fact that any positive or negative natural number can be created uniquely using one or more powers of 3. To include a tile in the calculation, flip it up or down to make it green (positive) or red (negative). To exclude a tile that is already included, flip it sideways to make it gray (neutral). The value of a Green tile gets added to while that of a Red tile gets subtracted from the initial value. When the initial value matches the target value in both number and color, you win. You are awarded points as well as stars for each...