// Exercise 4.1.16
package algs41;

import stdlib.*;

// This is problem 4.1.16 from the textbook
//
// You need only change the constructor.
// You can also change the main method.
// But you should not change eccentricity(), diameter(), radius(), center() or isCenter()
// You can (and should!) add more private methods (such as bfs or dfs)
//
// TODO: complete the following, using only Graph and GraphGenerator. 
// You may copy code from other classes in algs41, but you should not use the classes themselves.  
// In particular, you may not use BreadthFirstPaths although you may copy code from there.
//
// The "distance" from vertex v to vertex w is the length of the shortest path
// from v to w.
// The "eccentricity" of a vertex v is distance to the farthest vertex from v.
// The "diameter" of a graph is the maximum eccentricity of any vertex. 
// The "radius" of a graph is the smallest eccentricity of any vertex. 
// A "center" is a vertex whose eccentricity is the radius.
// The center is not necessarily unique.

public class MyGraphProperties {
  int[] eccentricity;
  int diameter;
  int radius;
  int center;

  // Constructor can be linear in G.V() * G.E()
  public MyGraphProperties(Graph G) {
    this.eccentricity = new int[G.V()];
    int diameter = Integer.MIN_VALUE;
    int radius = Integer.MAX_VALUE;
    int center = -1;
    // If G.V()==0, then these are the correct values.
    // If G is not connected, you should throw a new IllegalArgumentException()
    // I suggest that you first get it to work for a connected graph
    // This will require that you traverse the graph starting from some node (say 0)
    // You can then adjust your code so that it throws an exception in the case that all nodes are not visited

    // TODO
    // compute the eccentricity, diameter, radius and center
    // The center of the graph is not unique, set center to SOME center --- it does not matter which one
    this.diameter = diameter;
    this.radius   = radius;
    this.center   = center;
  }

  // Do not change the following constant time methods
  public int eccentricity(int v) { return eccentricity[v]; }
  public int diameter()          { return diameter; }
  public int radius()            { return radius; }
  public int center()            { return center; }
  public boolean isCenter(int v) { return eccentricity[v] == radius; }

  public static void main(String[] args) {
    //Graph G = GraphGenerator.fromIn (new In("data/tinyG.txt")); // this is non-connected -- should throw an exception
    //Graph G = GraphGenerator.connected (10, 20, 2); // Random non-connected graph -- should throw an exception

    Graph G = GraphGenerator.fromIn (new In("data/tinyCG.txt")); // diameter=2, radius=2, every node is a center
    //Graph G = GraphGenerator.binaryTree (10); // A complete binary tree
    //Graph G = GraphGenerator.path (10); // A path -- diameter=V-1
    //Graph G = GraphGenerator.connected (20, 400); // Random connected graph

    StdOut.println(G);
    G.toGraphviz ("g.png");

    MyGraphProperties gp = new MyGraphProperties(G);
    for (int v = 0; v < G.V(); v++)
      StdOut.format ("eccentricity of %d: %d\n", v, gp.eccentricity (v));
    StdOut.format ("diameter=%d, radius=%d, center=%d\n", gp.diameter(), gp.radius (), gp.center ());
  }
}