Problem 45270. Game of life - 02

refer to https://en.wikipedia.org/wiki/Conway's_Game_of_Life

refer to https://www.mathworks.com/matlabcentral/cody/problems/45269-game-of-life-01

given a set of cells (the initial state) represented by 1(live) and 0(dead) , u need to find the nth state of conway's game of life.

• Compared to the previous problem, now generation of new cells outside the initial set is possible. So the set might expand after each iteration.
• toroidal board is no longer applicable.

i implemented the following assertion process (though its not a gd one) -

• place the initial set in a 100 by 100 board from the starting location (50,50).
• so if initial state is =[1,0;1,1] , its initial loc = [{50,50},{50,51};{51,50};{51,51}]

u need to find the state after nth stage.