Chapter 29.6, Problem 29.6.1CP

Program Plan Intro

Weighted Graph:

A graph is termed as weighted graph if each edge of the graph is assigned a weight. The weighted edges stored in the weighted graphs can be stored in adjacency lists.

Weighted edges can be represented using a two-dimensional array. An weighted edge can be represented as “WeightedEdge(u,v,w)”, where “u” and “v” are edges and “w” represents the weight between them.

Example of storing edge in a weighted graph:

Object[][] edges =

{ new Integer(0), new Integer(1), new SomeTypeForWeight(8) };

Nine Tails Program:

In Nine Tails Program, nine coins are placed in a 3*3 matrix, where some coins are face up and others face down, in which a legal move is to take any coin that is face up and reverse it together with the coins adjacent to it. One needs to find the minimum numbers of moves that leads to all coins being face down.

The Nine Tails program can be reduced to the shortest path problem.

The tree data field in NineTailModel is defined protected:

protected UnweightedGraph<Integer>.SearchTree tree;