Problem:
Stable Sort

Let's arrange a deck of cards. There are totally 36 cards of 4 suits(S, H, C, D) and 9 values (1, 2, ... 9). For example, 'eight of heart' is represented by H8 and 'one of diamonds' is represented by D1.

Your task is to write a program which sorts a given set of cards in ascending order by their values using the Bubble Sort algorithms and the Selection Sort algorithm respectively. These algorithms should be based on the following pseudocode:

BubbleSort(C)
1 for i = 0 to C.length-1
2 for j = C.length-1 downto i+1
3 if C[j].value < C[j-1].value
4 swap C[j] and C[j-1]

SelectionSort(C)
1 for i = 0 to C.length-1
2 mini = i
3 for j = i to C.length-1
4 if C[j].value < C[mini].value
5 mini = j
6 swap C[i] and C[mini]

Note that, indices for array elements are based on 0-origin.

For each algorithm, report the stability of the output for the given input (instance). Here, 'stability of the output' means that: cards with the same value appear in the output in the same order as they do in the input (instance).

Input

The first line contains an integer N, the number of cards.

N cards are given in the following line. Each card is represented by two characters. Two consecutive cards are separated by a space character.

Output

In the first line, print the arranged cards provided by the Bubble Sort algorithm. Two consecutive cards should be separated by a space character.

In the second line, print the stability ("Stable" or "Not stable") of this output.

In the third line, print the arranged cards provided by the Selection Sort algorithm. Two consecutive cards should be separated by a space character.

In the fourth line, print the stability ("Stable" or "Not stable") of this output.

Constraints

1 ≤ N ≤ 36

Sample Input 1

5
H4 C9 S4 D2 C3

Sample Output 1

D2 C3 H4 S4 C9
Stable
D2 C3 S4 H4 C9
Not stable

Sample Input 2

2
S1 H1

Sample Output 2

S1 H1
Stable
S1 H1
Stable

Solution in JAVA (judge verdict: Accepted)

import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.NoSuchElementException;
import java.util.Scanner;
 
 
 
public class Main {
	static PrintWriter out = new PrintWriter(System.out);
	static FastScanner sc = new FastScanner();
	static Scanner stdIn = new Scanner(System.in);
	public static void main (String[] args) {
		int n = sc.nextInt();
		Data[] d1 = new Data[n];
		Data[] d2 = new Data[n];
		for(int i = 0; i < n; i++) {
			char[] in = sc.next().toCharArray();
			d1[i] = new Data(p(in),i,in);
			d2[i] = new Data(p(in),i,in);
		}
		bubbleSort(d1,n);
		selectionSort(d2,n);
		
		
		System.out.print(String.valueOf(d1[0].data));
		for(int i = 1; i < n; i++) {
			System.out.print(" " + String.valueOf(d1[i].data));
		}
		System.out.println();
		System.out.println((isStable(d1)?"Stable":"Not stable"));
		
		System.out.print(String.valueOf(d2[0].data));
		for(int i = 1; i < n; i++) {
			System.out.print(" " + String.valueOf(d2[i].data));
		}
		System.out.println();
		System.out.println((isStable(d2)?"Stable":"Not stable"));
		
		
		
	}
	
	static boolean isStable(Data[] c) {
		int n = c.length;
		for(int i = 0; i < n-1; i++) {
			if(c[i].value == c[i+1].value) {
				if(c[i].id >= c[i+1].id) return false;
			}
		}
		return true;
	}
	static int p(char[] in) {
		return (in[1] - '1');
	}
	static void bubbleSort(Data[] C, int N) {
		for(int i = 0; i < N; i++) {
				for (int j = N-1; j > i; j--) {
					if (C[j].value < C[j-1].value) {
						swap(j,j-1,C);
					}
				}
		}
	}
	static void selectionSort(Data[] C, int N) {
		for (int i = 0; i < N; i++) {
			int minj = i;
			for (int j = i; j < N; j++) {
				if(C[j].value < C[minj].value) {
					minj = j;
				}
			}
			swap(i,minj,C);
		}
	}
	static void swap(int a, int b, Data[] c) {
		Data tmp = c[a];
		c[a] = c[b];
		c[b] = tmp;
	}
	static class Data {
		int value;
		int id;
		char[] data;
		Data(int value, int id, char[] data) {
			this.value = value;
			this.id = id;
			this.data = data;
		}
	}
}	
 
 
//------------------------------//
class FastScanner {
    private final InputStream in = System.in;
    private final byte[] buffer = new byte[1024];
    private int ptr = 0;
    private int buflen = 0;
    private boolean hasNextByte() {
        if (ptr < buflen) {
            return true;
        }else{
            ptr = 0;
            try {
                buflen = in.read(buffer);
            } catch (IOException e) {
                e.printStackTrace();
            }
            if (buflen <= 0) {
                return false;
            }
        }
        return true;
    }
    private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
    private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
    private void skipUnprintable() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;}
    public boolean hasNext() { skipUnprintable(); return hasNextByte();}
    public String next() {
        if (!hasNext()) throw new NoSuchElementException();
        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while(isPrintableChar(b)) {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }
    public long nextLong() {
        if (!hasNext()) throw new NoSuchElementException();
        long n = 0;
        boolean minus = false;
        int b = readByte();
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        if (b < '0' || '9' < b) {
            throw new NumberFormatException();
        }
        while(true){
            if ('0' <= b && b <= '9') {
                n *= 10;
                n += b - '0';
            }else if(b == -1 || !isPrintableChar(b)){
                return minus ? -n : n;
            }else{
                throw new NumberFormatException();
            }
            b = readByte();
        }
    }
    
    public int nextInt() {
         if (!hasNext()) throw new NoSuchElementException();
         int n = 0;
         boolean minus = false;
         int b = readByte();
         if (b == '-') {
             minus = true;
             b = readByte();
         }
         if (b < '0' || '9' < b) {
             throw new NumberFormatException();
         }
         while(true){
             if ('0' <= b && b <= '9') {
                 n *= 10;
                 n += b - '0';
             }else if(b == -1 || !isPrintableChar(b)){
                 return minus ? -n : n;
             }else{
                 throw new NumberFormatException();
             }
             b = readByte();
         }
    }
    
    public double nextDouble() {
        return Double.parseDouble(next());
    }
    
 
}