Problem:
Partition

Quick sort is based on the Divide-and-conquer approach. In QuickSort(A, p, r), first, a procedure Partition(A, p, r) divides an array A[p..r] into two subarrays A[p..q-1] and A[q+1..r] such that each element of A[p..q-1] is less than or equal to A[q], which is, inturn, less than or equal to each element of A[q+1..r]. It also computes the index q.

In the conquer processes, the two subarrays A[p..q-1] and A[q+1..r] are sorted by recursive calls of QuickSort(A, p, q-1) and QuickSort(A, q+1, r).

Your task is to read a sequence A and perform the Partition based on the following pseudocode:

Partition(A, p, r)
1 x = A[r]
2 i = p-1
3 for j = p to r-1
4 do if A[j] <= x
5 then i = i+1
6 exchange A[i] and A[j]
7 exchange A[i+1] and A[r]
8 return i+1

Note that, in this algorithm, Partition always selects an element A[r] as a pivot element around which to partition the array A[p..r].

Input

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

In the second line, Ai (i = 1,2,...,n), elements of the sequence are given separated by space characters.

Output

Print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character. The element which is selected as the pivot of the partition should be indicated by [  ].

Constraints

1 ≤ n ≤ 100,000

0 ≤ Ai ≤ 100,000

Sample Input 1

12
13 19 9 5 12 8 7 4 21 2 6 11

Sample Output 1

9 5 8 7 4 2 6 [11] 21 13 19 12

Solution in JavaScript (judge verdict: Accepted)

const config = {
    input: '/dev/stdin',
    newline: '\n'
};

const line = require('fs').readFileSync(config.input, 'utf-8').split(config.newline);

const list = line[1].split(' ').map(x => parseInt(x));

const partition = arr => {
    const x = arr[arr.length-1];
    const result = [...arr];
    let i = -1;
    for (let j = 0; j < arr.length - 1; j++) {
        if (result[j] <= x) {
            i++;
            const tmp = result[i];
            result[i] = result[j];
            result[j] = tmp;
        }
    }
    const tmp = result[i+1];
    result[i+1] = result[arr.length-1];
    result[arr.length-1] = tmp;

    return [i+1, result];
}

const res = partition(list);

console.log(res[1].map((x, i) => i === res[0] ? `[${x}]` : x.toString()).join(' '));