Problem:
Score : 300 points

Problem Statement

You are given a sequence of length N: A_1, A_2, ..., A_N.
For each integer i between 1 and N (inclusive), answer the following question:

Find the maximum value among the N-1 elements other than A_i in the sequence.

Constraints

2 \leq N \leq 200000

1 \leq A_i \leq 200000

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
A_1
:
A_N

Output

Print N lines. The i-th line (1 \leq i \leq N) should contain the maximum value among the N-1 elements other than A_i in the sequence.

Sample Input 1

3
1
4
3

Sample Output 1

4
3
4

The maximum value among the two elements other than A_1, that is, A_2 = 4 and A_3 = 3, is 4.

The maximum value among the two elements other than A_2, that is, A_1 = 1 and A_3 = 3, is 3.

The maximum value among the two elements other than A_3, that is, A_1 = 1 and A_2 = 4, is 4.

Sample Input 2

2
5
5

Sample Output 2

5
5

Solution in Scala (2.11.7) (judge verdict: Accepted)

import scala.io.StdIn

object Main {

  def main(args: Array[String]): Unit = {
    val n = StdIn.readInt()
    val as = (1 to n).map(_ => StdIn.readInt()).toVector
    val maxis = (0 until n).foldLeft((0, 0)){(acc, i) =>
      if (as(i) > as(acc._1)) (i, acc._1)
      else if (as(i) > as(acc._2) || acc._1 == acc._2) (acc._1, i)
      else acc
    }
    (0 until n).foreach{ i =>
       val ans = if (i == maxis._1) as(maxis._2) else as(maxis._1)
       println(ans)       
    }
  }

}