Problem:
Insertion Sort

Write a program of the Insertion Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:

for i = 1 to A.length-1
key = A[i]
/* insert A[i] into the sorted sequence A[0,...,j-1] */
j = i - 1
while j >= 0 and A[j] > key
A[j+1] = A[j]
j--
A[j+1] = key

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

To illustrate the algorithms, your program should trace intermediate result for each step.

Input

The first line of the input includes an integer N, the number of elements in the sequence.

In the second line, N elements of the sequence are given separated by a single space.

Output

The output consists of N lines. Please output the intermediate sequence in a line for each step. Elements of the sequence should be separated by single space.

Constraints

1 ≤ N ≤ 100

Sample Input 1

6
5 2 4 6 1 3

Sample Output 1

5 2 4 6 1 3
2 5 4 6 1 3
2 4 5 6 1 3
2 4 5 6 1 3
1 2 4 5 6 3
1 2 3 4 5 6

Sample Input 2

3
1 2 3

Sample Output 2

1 2 3
1 2 3
1 2 3

Hint

Template in C

Solution in JAVA (judge verdict: Accepted)

import java.io.*;
import java.util.List;
import java.util.StringTokenizer;

public class Main {

    int[] arr;

    int size;

    int swaps;

    public static void main(String[] args)
    {

        Main g = new Main();

        g.readArray();

        g.insertionSort();

        //g.printArray();

        //System.out.println(g.swaps);
    }

    private void readArray() {

        InputReader reader = new InputReader(System.in);

        size = reader.nextInt();

        arr = new int[size];

        for(int i=0; i<size; ++i)
            arr[i] = reader.nextInt();
    }

    private void printArray() {

        PrintWriter writer = new PrintWriter(System.out);

        for(int i=0; i<size; ++i) {

            writer.write("" + arr[i]);

            if(i<size-1) writer.write(" ");
        }

        writer.write("\n");

        writer.flush();
    }


    private void insertionSort() {

        printArray();

        for(int i=1; i<size; ++i) {

            int t1=arr[i];
            int j=i-1;

            while(j>=0) {
                if(t1 < arr[j]) {
                    arr[j+1] = arr[j];
                    --j;
                }
                else break;
            }

            arr[j+1]=t1;

            printArray();
        }
    }


    private void selectionSort() {

        for(int i=0; i<size-1; ++i) {

            int min=i+1;

            for(int j=i+1; j<size; ++j) {
                if(arr[j] < arr[min])
                    min=j;
            }

            if(arr[min] < arr[i]) {

                ++swaps;

                int tmp = arr[min];
                arr[min] = arr[i];
                arr[i] = tmp;
            }
        }
    }


    private void bubbleSort() {

        boolean flag=false;

        for(int i=0; i<size-1; ++i) {

            flag=false;

            for(int j=0; j<size-1-i; ++j) {

                if(arr[j]>arr[j+1]) {

                    flag=true;

                    ++swaps;

                    int tmp = arr[j];
                    arr[j] = arr[j+1];
                    arr[j+1] = tmp;
                }
            }

            // no swap has taken place so array is already sorted at this point
            if(!flag) break;
        }

    }


    class InputReader {

        private BufferedReader reader;

        private StringTokenizer tokenizer;

        InputReader(InputStream ip) {

            reader = new BufferedReader(new InputStreamReader(ip));
        }

        String next() {

            if(tokenizer==null || !tokenizer.hasMoreTokens()) {

                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }

            return tokenizer.nextToken();
        }

        int nextInt() {

            return Integer.parseInt(next());
        }
    }
}