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 JavaScript (judge verdict: Accepted)

function main(_stdin) {
    const stdin = _stdin.split('\n');
    const len = Number(stdin.shift());
    const arr = stdin.shift().split(' ').map(Number);

    let count = 0;
    let sorted = 0;
    let flag =  1;
    while (flag) {
        flag = 0;

        for (let i = len - 1; i > sorted; i--) {
            if (arr[i] < arr[i - 1]) {
                const t = arr[i];
                arr[i] = arr[i - 1];
                arr[i - 1] = t;
                flag = 1;
                count++;
            }
        }
        sorted++;
    }
    console.log(arr.join(' '));
    console.log(count);
}


main(require('fs').readFileSync('/dev/stdin', 'utf8'));