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: Wrong Answer)

import scala.io.StdIn
import scala.math.pow

object Main extends App {

  val n = StdIn.readLine().toInt
  var a = Array.fill(n)(0)

  (1 to n).foreach {i =>
    a(i - 1) = StdIn.readLine().toInt
  }

  val f = a.max
  val farray  = a.filter(_ != f)
  val s = if (farray.isEmpty) f else farray.max

  a.map { v =>
    if (v ==  f) s else f
  }.foreach { i =>
    println(i)
  }
}