The game of Life, invented by the mathematician John H. Conway, is intended to model life in a society of organisms. Consider a rectangular array of cells, each of which may contain an organism. If the array is viewed as extending indefinitely in both directions, then each cell has eight neighbors, the eight cells surrounding it. In each generation, births and deaths occur according to the following rules.
- An organism is born in any empty cell having exactly three neighbors.
- An organism dies form isolation if it has fewer than two neighbors.
- An organism dies from overcrowding if it has more than three neighbors.
- All other organisms survive.
Use a 20 x 20 array to test your program. Print out each generation (i.e. 20 x 20 array) for the first 6 generations. Be sure to printout generation 0.
The data for the above is as follows where each subscript (row,col) represents a life form:
Start life in col 3, 4, 5 and col 20 ie. (1,1) (2,1) (3,1) ... (20,1) and (1,20) (2,20) (3,20) ... (20,20), row 10, 11 and row 19, and the following other matrix locaitons:
3,6 15,18 4,14 17,10
3,7 15,19 5,15 17,11
3,8 16,19 9,4 18,10
4,6 16,18 13,13 18,11
4,7 16,16 15,14 16,10
5,6 17,15 13,15 17,11
5,8 17,18 13,16 15,6
19,6 19,4 19,6 19,7
6,6 17,19 12,14 15,7
7,6 18,18 13,18 16,6
8,7 18,17 12,15 17,6
8,8 17,9 2,6 18,6
20,20 9,8 2,7 12,6
5,7 12,7 2,2 18,2
2,8 2,9 2,10 19,16
4,10 4,11 2,12 19,18
4,13 3,11 2,13
3,13 3,14 13,17
A life form is represented by an asterisk symbol.
You probably already know this but the instructor said that this program is much easier to write if you add extra rows and columns to the outer perimeter of the array.