Consider a game of chess with rules as described below. At the game start, a board is laid out with two kind of chess pieces. The board is divided into black and white squares, so are the pieces. As far as the arrangement of pieces is concerned, second row is filled with pawns, rooks go to the corners of first row followed by knights, bishops, queen and king in the same order. Both black and white pieces can move along x-axis as well as y-axis. Black prawn pieces are only allowed to move 10 units along x-axis and 4 units along y-axis. White prawn pieces can move 3 units along x-axis and 15 units along y-axis. Besides prawns, knights can also move in L shape. Bishops can move diagonally and queen can take all moves. The board in total has 32 units of x-axis and 32 units along y- axis. Winning chance for white pieces is in eleven moves. Black can fight to win in 12 moves. 1) Identify minimum moves for both players to win 2) If a player deviates from the given rules, what can be the plausible changes? 3) Devise mathematical model to answer above questions