this is a java based data structures and algorithms

any help is greatly appreciated

Write a program that lets a user play the game of MovingDay. Here are the rules of the game: there are N Falses on N squares, M Trues on M squares, and one empty square for a total of N+M+ 1 squares - the Falses start out on the right, the Trues start out on the left, the empty square is in the middle - there are two moves JUMP and SLIDE - a False can JUMP over a True or False onto an empty square - a True can JUMP over a False onto an empty square - a False or True can slide onto an empty square - Falses can ONLY move left, Trues can ONLY move right - the user WINS when the Falses occupy the left most N squares, the Trues occupy the rightmost M squares, and the empty square is in the middle - the user LOSES when the user can't make any more moves and the winning condition hasn't been satisfied Sample run (bold indicates user input): ---- MovingDay Game ---- Number of Falses: 3 ources Number of Trues: 3 0 1 2 3 4 5 6 IT|T|T||F|F|FT Choose move: 4 Sliding False @ 4 to the LEFT 0 1 2 3 4 5 6 ITITTIFIFFI Choose move: 2 Jumping True @ 2 to the RIGHT 0 1 2 3 4 5 6 ITITI FITIFIFI Choose move: 0 Cannot Jump True over a True! Choose move: 1 Sliding True @ 1 to the RIGHT Sample run (bold indicates user input): ---- MovingDay Game ---- Number of Falses: 3 Number of Trues: 3 0 1 2 3 4 5 6 ITTT|F|FF| Choose move: 4 Sliding False @ 4 to the LEFT 0 1 2 3 4 5 6 |T|TT|FI|FF| Choose move: 2 Jumping True @2 to the RIGHT 0 1 2 3 4 5 6 T|T||FTIFFI Choose move: 0 Cannot Jump True over a True! Choose move: 1 Sliding True @ 1 to the RIGHT 0 1 2 3 4 5 6 T|TF|T||F Choose move: 2 Cannot Slide True (no empty space). Cannot Jump True (no empty space). Choose move: 0 Sliding True @ O to the RIGHT 0 1 2 3 4 5 6 ||TT|F|TF|FT Choose move: 0 Sliding True @0 to the RIGHT Game Over! You lose! ---- MovingDay Game ---- Number of Falses: 3 Number of Trues: 3 0 1 2 3 4 5 6 |TT|T|FF|FI Choose move: 4 Sliding False @ 4 to the LEFT ... much later... 0 1 2 3 4 5 6 |F|FF|T||TT| Choose move: 3 Sliding True @3 to the RIGHT 0 1 2 3 4 5 6 |E|F|FL|T|TTI Congratulations! You win