Friday, May 10, 2013

Croc Champ 2013 - Round 1 B Network Topology

// Croc Champ 2013 - Round 1 B Network Topology

import java.io.*;
import java.io.ObjectInputStream.GetField;
import java.math.*;
import java.text.*;
import java.util.*;

//Codeforces
public class MainCodeforces1 {
    private static MyScanner in;
    private static PrintStream out;
    // change to false before submitting
    private static boolean LOCAL_TEST = false;

    private static void solve() throws IOException
    {
        int N = in.nextInt();
        int M = in.nextInt();
        int[] nodeNumConnected = new int[N + 1];
        for (int i = 1; i < nodeNumConnected.length; i++) {
            nodeNumConnected[i] = 0;
        }
        for (int i = 0; i < M; i++) {
            int x = in.nextInt();
            int y = in.nextInt();
            nodeNumConnected[x] += 1;
            nodeNumConnected[y] += 1;
        }
        boolean isRing = true;
        boolean isBus = true;
        int maxCon = 0;
        int numCon1 = 0;
        int numConNot1 = 0;
        for (int i = 1; i < nodeNumConnected.length; i++) {
            maxCon = Math.max(maxCon, nodeNumConnected[i]);
            if (nodeNumConnected[i] == 1)
                numCon1++;
            else
                numConNot1++;
            if (nodeNumConnected[i] != 2)
                isRing = false;
            if (nodeNumConnected[i] > 2)
                isBus = false;
        }
        if (isBus && numCon1 == 2)
            out.print("bus topology");
        else if (isRing)
            out.print("ring topology");
        else if (numCon1 == N - 1 && numConNot1 == 1 && maxCon == (N - 1))
            out.print("star topology");
        else
            out.print("unknown topology");
    }

    public static void main(String[] args) throws IOException {
        // helpers for input/output
        out = System.out;
        if (LOCAL_TEST) {
            in = new MyScanner("E:\\zin.txt");
        }
        else {
            boolean usingFileForIO = false;
            if (usingFileForIO) {
                // using input.txt and output.txt as I/O
                in = new MyScanner("input.txt");
                out = new PrintStream("output.txt");
            }
            else {
                in = new MyScanner();
                out = System.out;
            }
        }

        solve();
    }

    // =====================================
    static class MyScanner {
        Scanner inp = null;

        public MyScanner() throws IOException
        {
            inp = new Scanner(System.in);
        }

        public MyScanner(String inputFile) throws IOException {
            inp = new Scanner(new FileInputStream(inputFile));
        }

        public int nextInt() throws IOException {
            return inp.nextInt();
        }

        public long nextLong() throws IOException {
            return inp.nextLong();
        }

        public double nextDouble() throws IOException {
            return inp.nextDouble();
        }

        public String nextString() throws IOException {
            return inp.next();
        }

    }

}

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