Problem:
Bubble Sort

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

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

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

Your program should also print the number of swap operations defined in line 4 of the pseudocode.

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 spaces characters.

Output

The output consists of 2 lines.

In the first line, please print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character.

In the second line, please print the number of swap operations.

Constraints

1 ≤ N ≤ 100

Sample Input 1

5
5 3 2 4 1

Sample Output 1

1 2 3 4 5
8

Sample Input 2

6
5 2 4 6 1 3

Sample Output 2

1 2 3 4 5 6
9

Solution in C (judge verdict: Time Limit Exceeded)

#include <stdio.h>

int main(){

  int N,i,j,flag,temp=0,count=0;

  scanf("%d",&N);

  int A[N];

  for(i=0;i<N;i++){
    scanf("%d",&A[i]);
  }


  for(i=0;i<N;i++){

  flag = 1;

  while(flag){

    for(j=N-1;0<=j;j--){
	if(A[j] < A[j-1]){
	  if(j-1 < 0){
	    flag = 0;
	    continue;
	  }
	  temp = A[j-1];
	  A[j-1] = A[j];
	  A[j] = temp;
	  count++;
	}

      }
  }
  }

  for(i=0;i<N;i++){
    printf("%d ",A[i]);
  }
  printf("\n%d\n",count);


  return 0;
}