#include <stdio.h>

int main() {
	int n, c;
	scanf("%d", &n);

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

	c = 0;
	for (int i=0; i<n; i++) {
		for (int j=n-1; j>i;j--) {
			if (arr[j] < arr[j-1]) {
				c++;
				int tmp = arr[j];
				arr[j] = arr[j-1];
				arr[j-1] = tmp;
			}
		}
	}

	printf("%d", arr[0]);
	for (int i=1; i<n; i++) {
		printf(" %d", arr[i]);
	}
	printf("\n%d\n", c);
}


### Prompt

In cpp, your task is to solve the following problem:

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.

Constraints

1 ≤ N ≤ 100

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.

Examples

Input

5
5 3 2 4 1


Output

1 2 3 4 5
8


Input

6
5 2 4 6 1 3


Output

1 2 3 4 5 6
9

### Response

```cpp
#include <stdio.h>

int main() {
	int n, c;
	scanf("%d", &n);

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

	c = 0;
	for (int i=0; i<n; i++) {
		for (int j=n-1; j>i;j--) {
			if (arr[j] < arr[j-1]) {
				c++;
				int tmp = arr[j];
				arr[j] = arr[j-1];
				arr[j-1] = tmp;
			}
		}
	}

	printf("%d", arr[0]);
	for (int i=1; i<n; i++) {
		printf(" %d", arr[i]);
	}
	printf("\n%d\n", c);
}


```