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#include <iostream>
#include <vector>
#include <stdlib.h>
 
using namespace std;
 
struct params_t{
  int world_size; // size of the world (side of the square world)
  double initial_proportion; // initial proportion of living cells
  int max_t; // maximum time for simulation
  int delay; // period in terms of the number of time steps before
             // each display of the world (to make more efficient
             // outputs)
};
 
void initialize_world(vector< vector<int> > &world, double p)
{
  int i, j, n;
 
  n = world.size();
 
  // generate each cell to be alive with probability p
 
  for (i=0; i<n; i++)
    for (j=0; j<n; j++)
      {
	if (drand48()<p)
	  world[i][j] = 1;
	else
	  world[i][j] = 0;
      }
}
 
int count_neighbors(vector< vector<int> > &world, 
		    int i,
		    int j,
		    int n)
{
  int di, dj;
  int num_neighbors=0;
 
  // note that this assumes wrap-around world, in which
  // the last cell in any row is a neighbor of the very
  // first cell in the row; similarly for the columns
 
  for (di = -1; di <= 1; di++)
    for (dj = -1; dj <= 1; dj++)
      if ((di!=0)||(dj!=0))
	num_neighbors += world[(i+di+n)%n][(j+dj+n)%n];
 
  // return the number of neighbors
 
  return num_neighbors;      
}
 
void process_world(vector< vector<int> > &new_world,
		   vector< vector<int> > &world)
{
  int i, j;
  int n = world.size();
 
  // count neighbors of every cell, and generate the new
  // world using the basic rules of the game of life
  // - living cell dies if less than 2 living neighbors
  // - living cell dies if more than 3 living neighbors
  // - dead cell changes to living if exactly 3 neighbors
  // - otherwise, no change
 
  for (i=0; i<n; i++)
    for (j=0; j<n; j++)
      {
	int num_neighbors = count_neighbors(world, i, j, n);
 
	// these conditions implement the rules
 
	if (world[i][j]==1) // living cell
	  {
	    if (num_neighbors<2)
	      new_world[i][j] = 0;   // died because of underpopulation
	    else
	      if (num_neighbors>3)
		new_world[i][j] = 0; // died because of overcrowding
	      else
		new_world[i][j] = 1; // cell goes on living
	  }
	else
	  if (num_neighbors==3) // dead cell
	    new_world[i][j] = 1; // reproduction (new cell)
	  else
	    new_world[i][j] = 0; // remains empty cell
      }
}
 
void display_world(vector< vector<int> > &world)
{
  int i, j;
  int n = world.size();
  int num_living = 0;
  int num_dead = 0;
 
  // show the content of each cell in a reasonably readable format
  // (as a matrix with * denoting a living cell)
 
  for (i=0; i<n; i++)
    {
      for (j=0; j<n; j++)
	if (world[i][j]==1)
	  {
	    cout << "* ";
	    num_living++;
	  }
	else
	  {
	    cout << "  ";
	    num_dead++;
	  }
      cout << endl;
    }
 
  cout << endl;
  cout << "num_living = " << num_living << endl;
  cout << "num_dead =   " << num_dead << endl;
  cout << endl;
}
 
void run_simulation(params_t &params)
{
  int i, t;
  vector< vector<int> > world(params.world_size);
  vector< vector<int> > new_world(params.world_size);
 
  // runs the simulation
 
  for (i=0; i<params.world_size; i++)
    {
      world[i].resize(params.world_size);
      new_world[i].resize(params.world_size);
    }
 
  // initialize the world
 
  initialize_world(world, params.initial_proportion);
 
  // print out the initial world 
 
  cout << "----------------------------------------------------------" << endl;
  cout << "INITIAL WORLD" << endl << endl;
  display_world(world);
 
  for (t=1; t<=params.max_t; t++)
    {
      // create new world using the old world and the rules
 
      process_world(new_world, world);
 
      // new world becomes current world
 
      swap(world, new_world);
 
      // print out the world (once in each params.delay steps)
 
      if ((t-1)%params.delay==0)
	{
	  cout << "----------------------------------------------------------" << endl;
	  cout << "WORLD AT TIME " << t << endl << endl;
	  display_world(world);
	}
    }
}
 
 
int main()
{
  params_t params;
 
  // initialize random number generator
 
  srand48(123);
 
  // read user parameters
 
  cin >> params.world_size;
  cin >> params.initial_proportion;
  cin >> params.max_t;
  cin >> params.delay;
 
  // adjust parameters if necessary
 
  if (params.world_size<1)
    params.world_size=1;
  if (params.initial_proportion<0)
    params.initial_proportion=0;
  if (params.initial_proportion>1)
    params.initial_proportion=1;
  if (params.max_t<1)
    params.max_t=1;
  if (params.delay<1)
    params.delay=1;
 
  // print out parameters
 
  cout << "World size:         " << params.world_size << endl;
  cout << "Initial proportion: " << params.initial_proportion << endl;
  cout << "Maximum time steps: " << params.max_t << endl;
  cout << "Reporting period:   " << params.delay << endl; 
  cout << endl;
 
  // run the game of life simulation
 
  run_simulation(params);
 
  // return 0 from main
 
  return 0;
}

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

Success #stdin #stdout 0.02s 2868KB

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World size:         20
Initial proportion: 0.2
Maximum time steps: 10
Reporting period:   1

----------------------------------------------------------
INITIAL WORLD

      * *         *       *   *       * 
              *         *               
    *       *     *         *       *   
                              * *       
*       *               *               
  *       *   * *                     * 
          *           *   *           * 
*   *           *                   * * 
                                      * 
  *               * *     *       *     
                      *           *   * 
      * * *                             
                  *             *   *   
        *                   *     *   * 
            * *       *       *         
  *                   *     *           
      * *                               
        *       *           *   *       
        *                               
    *     *   *   * *           *       

num_living = 71
num_dead =   329

----------------------------------------------------------
WORLD AT TIME 1

      * *   *     * *                   
      *         *         * *           
                              *         
                              *         
*                                       
        * * *           *             * 
  *         * * *                       
*                                   *   
  *               *                   * 
*                   *                   
        *           *               *   
        *                         * *   
      *   *                       * *   
                              * * * *   
                            * *         
                                        
      * *                     *         
        * *                             
      * * *     * *           *         
          *     * * *                   

num_living = 59
num_dead =   341

----------------------------------------------------------
WORLD AT TIME 2

      * * *   *     *                   
      * *         *         *           
                              *         
                                        
          *                             
*         * *                           
*           * *                       * 
* *           * *                     * 
  *                                   * 
*                 * *                 * 
                                  * * * 
      * * *                           * 
        *                             * 
                            * *     *   
                            * *   *     
                            * *         
      * * *                             
                                        
      *     *   *   *                   
            * *                         

num_living = 55
num_dead =   345

----------------------------------------------------------
WORLD AT TIME 3

      *   *   * *                       
      *   *                             
                                        
                                        
          * *                           
*         *   *                       * 
          *     *                       
  *         * * *                   *   
  *             * *                 *   
                                        
        *                               
*     * * *                           * 
      * * *                         * * 
                            * * *   *   
                          *             
        *                   * * *       
        *                               
      *   *                             
            *                           
      *         * *                     

num_living = 50
num_dead =   350

----------------------------------------------------------
WORLD AT TIME 4

    * *     * * * *                     
            *                           
                                        
                                        
          * *                           
        * *   *                         
*         *     *                     * 
            *                           
                * *                     
                                        
      * * *                             
*                                   * * 
*     *   *                   *   * *   
        *                   * *   * * * 
                          *       *     
                            * *         
      * * *                   *         
        * *                             
        *                               
        *   *   * *                     

num_living = 52
num_dead =   348

----------------------------------------------------------
WORLD AT TIME 5

      *     *     *                     
            *   *                       
                                        
                                        
        * * *                           
        *     *                         
        * *   *                         
              * * *                     
                                        
        *                               
        *                             * 
*     *   *                       * *   
*       *                   * *         
        *                   * *       * 
                          *       *     
        *                   * * *       
      *   *                 * *         
                                        
      * *                               
        *   *     *                     

num_living = 47
num_dead =   353

----------------------------------------------------------
WORLD AT TIME 6

            *   * *                     
              *                         
                                        
          *                             
        * * *                           
      *       *                         
        * *   *                         
            * * *                       
                *                       
                                        
      * * *                         * * 
*     *   *                         *   
*     * * *                 * * *   *   
                          *   * *       
                          *             
        *                 *     *       
        *                   *   *       
      *                                 
      * * *                             
        *                               

num_living = 49
num_dead =   351

----------------------------------------------------------
WORLD AT TIME 7

              * *                       
              * *                       
                                        
        * * *                           
        * * *                           
      *       *                         
        * *                             
          * *   *                       
                *                       
        *                               
      *   *                         * * 
*   *       *                 *     *   
      *   *                 *   *       
        *                 *     * *     
                        * *   * *       
                          * * *         
      * *                     *         
      *   *                             
      *   *                             
      * *                               

num_living = 52
num_dead =   348

----------------------------------------------------------
WORLD AT TIME 8

              * *                       
              * *                       
          * * *                         
        *   *                           
      *       *                         
      *                                 
        * *   *                         
        * * * *                         
          *   *                         
        *                               
      * * *                         * * 
    * *   * *                 *   * *   
      * * *                 *   *       
        *               * *       *     
                        *         *     
                        * *             
      * *                     *         
    * *   *                             
    * *   *                             
      * *                               

num_living = 58
num_dead =   342

----------------------------------------------------------
WORLD AT TIME 9

              * *                       
                                        
          *     *                       
        *                               
      * *                               
      *     *                           
      *       *                         
              * *                       
              *                         
      *     *                           
    *       *                     * * * 
    *       *                 * * * * * 
    *       *             * * * *   *   
      * * *             * *     * *     
                      *                 
                        * *             
    * * *                               
          *                             
          *                             
    * * *                               

num_living = 53
num_dead =   347

----------------------------------------------------------
WORLD AT TIME 10

      *                                 
              * *                       
                                        
      * * *                             
      * * *                             
    * *                                 
            * * *                       
            * * *                       
            * * *                       
            * *                     *   
    * *   * * *                       * 
  * * *   * * *                         
    *   *   *           * *           * 
      * * *             * *     * *     
        *             *                 
      *                 *               
      * *                               
      *   *                             
      *   *                             
      * *                               

num_living = 60
num_dead =   340

https://ideone.com/W3cL9

language:

C++ (gcc 8.3)

created:

visibility:

secret

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