Problem:
Score : 300 points

Problem Statement

When l is an odd number, the median of l numbers a_1, a_2, ..., a_l is the (\frac{l+1}{2})-th largest value among a_1, a_2, ..., a_l.

You are given N numbers X_1, X_2, ..., X_N, where N is an even number.
For each i = 1, 2, ..., N, let the median of X_1, X_2, ..., X_N excluding X_i, that is, the median of X_1, X_2, ..., X_{i-1}, X_{i+1}, ..., X_N be B_i.

Find B_i for each i = 1, 2, ..., N.

Constraints

2 \leq N \leq 200000

N is even.

1 \leq X_i \leq 10^9

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
X_1 X_2 ... X_N

Output

Print N lines.
The i-th line should contain B_i.

Sample Input 1

4
2 4 4 3

Sample Output 1

4
3
3
4

Since the median of X_2, X_3, X_4 is 4, B_1 = 4.

Since the median of X_1, X_3, X_4 is 3, B_2 = 3.

Since the median of X_1, X_2, X_4 is 3, B_3 = 3.

Since the median of X_1, X_2, X_3 is 4, B_4 = 4.

Sample Input 2

2
1 2

Sample Output 2

2
1

Sample Input 3

6
5 5 4 4 3 3

Sample Output 3

4
4
4
4
4
4

Solution in Go (1.6) (judge verdict: Wrong Answer)

package main
import (
   "fmt"
   
)

func abs(x int) int{
  if x < 0 {
    return -x
  } else {
    return x
  }
  
}
func main() {
	var x int
	fmt.Scan(&x)
	a := make([]int, x)
	for i := 0; i < x ; i++ {
  		fmt.Scan(&a[i])
	}
	max := 0
  for i := 0; i < x; i++ {
    if max < a[i] {max = a[i]}
  }
	m := 2000000001
	ans := 0
	for _,i := range a {
  		if max == i {
    		continue
    	}
 		if m > abs(i*2 - max) {
    		ans = i
    		m = abs(i*2 - max)
  		}
	}
	fmt.Printf("%d %d", max, ans)
}