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 C (judge verdict: Accepted)

#include<stdio.h>
#include<stdlib.h>

int partition(int *A,int p,int r)
{
	int x = A[r];//基準値をxに格納
	int box,j,i = p-1;
	for( j = p ; j < r ; j++){//jがこれから探索する要素番号を示す
		if( A[j] <= x){//xより小さければ
			i = i+1;//iをインクリメントする
			box=A[i];//xより大きくかつ最後に追加した要素と入れ替える
			A[i]=A[j];
			A[j]=box;
		}
	}
	box=A[i+1];//基準値をiの位置に格納する
	A[i+1]=A[r];
	A[r]=box;
	
	return i+1;
}

int main(void)
{
	int mid,i,n,*A;
	scanf("%d",&n);
	A = (int*)malloc(sizeof(int)*n+1);
	for(i=0;i<n;i++) scanf("%d",&A[i]);
	
	mid=partition(A,0,n-1);
	
	for(i=0;i<n;i++) {
		if(i!=0) printf(" ");
		if(i==mid) printf("[");
		printf("%d",A[i]);
		if(i==mid) printf("]");
	}
	printf("\n");

	
	free(A);
	return 0;
}