import edu.princeton.cs.introcs.StdIn; import edu.princeton.cs.introcs.StdOut; /**************************************************************************** * Compilation: javac QuickFindUF.java * Execution: java QuickFindUF < input.txt * Dependencies: StdIn.java StdOut.java * * Quick-find algorithm. * ****************************************************************************/ /** * The QuickFindUF class represents a union-find data structure. * It supports the union and find operations, along with * methods for determinig whether two objects are in the same component * and the total number of components. * * This implementation uses quick find. * Initializing a data structure with N objects takes linear time. * Afterwards, find , connected , and count * takes constant time but union takes linear time. * * For additional documentation, see Section 1.5 of * Algorithms, 4th Edition by Robert Sedgewick and Kevin Wayne. * * @author Robert Sedgewick * @author Kevin Wayne */ public class QuickFindUF { private int[] id; // id[i] = component identifier of i private int count; // number of components /** * Initializes an empty union-find data structure with N isolated components 0 through N-1. * @throws java.lang.IllegalArgumentException if N < 0 * @param N the number of objects */ public QuickFindUF(int N) { count = N; id = new int[N]; for (int i = 0; i < N; i++) id[i] = i; } /** * Returns the number of components. * @return the number of components (between 1 and N) */ public int count() { return count; } /** * Returns the component identifier for the component containing site p . * @param p the integer representing one site * @return the component identifier for the component containing site p * @throws java.lang.IndexOutOfBoundsException unless 0 <= p < N */ public int find(int p) { return id[p]; } /** * Are the two sites p and q/tt> in the same component? * @param p the integer representing one site * @param q the integer representing the other site * @return true if the two sites p and q are in * the same component, and false otherwise * @throws java.lang.IndexOutOfBoundsException unless both 0 <= p < N and 0 <= q < N */ public boolean connected(int p, int q) { return id[p] == id[q]; } /** * Merges the component containing site p with the component * containing site q . * @param p the integer representing one site * @param q the integer representing the other site * @throws java.lang.IndexOutOfBoundsException unless both 0 <= p < N and 0 <= q < N */ public void union(int p, int q) { if (connected(p, q)) return; int pid = id[p]; for (int i = 0; i < id.length; i++) if (id[i] == pid) id[i] = id[q]; count--; } /** * Reads in a sequence of pairs of integers (between 0 and N-1) from standard input, * where each integer represents some object; * if the objects are in different components, merge the two components * and print the pair to standard output. */ public static void main(String[] args) { int N = StdIn.readInt(); QuickFindUF uf = new QuickFindUF(N); while (!StdIn.isEmpty()) { int p = StdIn.readInt(); int q = StdIn.readInt(); if (uf.connected(p, q)) continue; uf.union(p, q); StdOut.println(p + " " + q); } StdOut.println(uf.count() + " components"); } }