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 = 1, temp, cnt = 0;
  int a[100];

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

  while (flag) {
    flag = 0;
    for (j = n - 1; n > 0; j--) {
      if (a[j] < a[j-1]) {
        temp = a[j];
        a[j] = a[j-1];
        a[j-1] = temp;
        cnt++;
        flag = 1;
      }
    }
  }

  for (i = 0; i < n; i++) {
    if (i == 0) {
      printf("%d", a[i]);
    } else {
      printf(" %d", a[i]);
    }
  }
  puts("");
  printf("%d\n", cnt);

  return 0;
}