Multiplayer Gul Bara

Gul Bara is an interesting variant of the classic Backgammon. Your goal in this game is to move your pieces in counterclockwise direction until they are all placed in your home board, then remove all of your pieces before your opponent does so. You and your opponent will be assigned a set of black or white pieces. The home board of black is located at the lower right region, while the home board of white is located at the upper left region. Before the game starts, you and your opponent will both roll a die to determine the turn order, and the player who gets a higher number will make the move first. During your turn, click the button on the screen to roll the dice, and the numbers rolled are the numbers of steps you can take, for example, if 3 and 6 are rolled, you can move a piece 3 steps forward, and then move the same piece or another piece 6 steps forward. You can move your pieces to a column which is empty or is currently occupied by your pieces, but you cannot move your pieces to a column currently occupied by opponent pieces. If the numbers of the dice you rolled are the same, i.e. a doublet, you can use each die twice and make 4 moves for the doublet as well as each successive number up to and including double 6, for example, if you rolled a double 3, you can move 4 pieces forward for 3 steps each, then move 4 pieces forward for 4 steps each, and so on. If the path of your pieces is blocked and you cannot play any of the doubles, you will not be allowed to play the remaining, for example, if you rolled a double 3, but you cannot make full use of the successive double 4 to move 4 of your pieces forward for 4 steps each, you can only play what you can and then finish your turn. Note that you must finish your moves within the given limit, as indicated by the timer on the screen, or you will lose. After moving all your pieces to your home board, you can start removing them, and the order of removal will follow the numbers rolled from the dice, for example if you