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: Time Limit Exceeded)

object Main extends App {
  val in = new java.util.Scanner(System.in)
  val n  = in.nextInt
  val a  = Seq.fill(n)(in.nextInt)

  val f = a.indexOf(a.max)
  val s = a.indexOf((a.take(f) ++ a.drop(f + 1)).max)

  val answer = a.indices.map(i => if (i == f) a(s) else a(f)).mkString("\n")

  println(answer)
}