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344 chapter 13Conway in the 1970s, is Conway’s Game of Life. In this, cells with value 1 are alive,while cells with value 0 are dead. Cells grow according to the following rules:1. If a cell is alive and if two or three of its eight neighbors are alive, then the cellremains alive.2. If a cell is alive and if more than three of its eight neighbors are alive, then thecell dies because of overcrowding.3. If a cell is alive and only one of its eight neighbors is alive, then the cell diesof loneliness.4. If a cell is dead and more than three of its neighbors are alive, then the cellrevives.A variation on the Game of Life is to include a “rule one out of eight” that a cellwill be alive if exactly one of its neighbors is alive, otherwise the cell will remainunchanged. The program OutofEight.java (Listing 13.2) starts with one live cell atthe center of the 3-D array cell[34][34][2] and grows on your screen from there.✞☎/ / Game of the life with 1 out of 8 ruleimport java . io .∗ ;public class OutofEight {public static void main ( String [] argv ) throws IOException {int cell [][][]=new int [34][34][2] ,i , r , j , alive ;for ( j = 0; j < 33; j++ ) { // Initial state of cellsfor ( i = 0; i < 33; i++ ) cell [ j ][ i ][0] = 0;cell [16][16][0] = 1;for ( i = 0; i < 33; i ++) System . out . print (" "+cell [ j ][ i ][0]) ;System . out . println ("" );} // jfor ( r = 0; r < 10; r++ ) {for ( j = 1; j < 32; j++ ) {for ( i = 1; i < 32; i++ ) {alive=0;if ( cell [i−1][j ][0] == 1 ) alive = alive + 1;if ( cell [i+1][ j ][0] == 1 ) alive = alive + 1;if ( cell [i ][j −1][0] == 1 ) alive = alive + 1;if ( cell [i ][ j +1][0] == 1 ) alive = alive + 1;if ( cell [i−1][j −1][0] == 1 ) alive = alive + 1;if ( cell [i+1][j −1][0] == 1 ) alive = alive + 1;if ( cell [i−1][j +1][0] == 1 ) alive = alive + 1;if ( cell [i+1][ j +1][0] == 1 ) alive = alive + 1;if ( cell [i ][ j ][0] == 0 && alive == 1 ) cell [i ][ j ][1]=1;} // i} // jfor ( j =0;j