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)

object Main {

  def main(args: Array[String]): Unit = {
    val sc = new java.util.Scanner(System.in)

    val N = sc.nextInt()
    val A = Array.fill(N)(sc.nextInt())
    // 数列中のAiを除くN - 1個の要素のうち最大の値を求めよ
    // Aのうち、もっとも大きい値以外では、常にAのうちもっとも大きい値が最大値
    // 最大値ではない
    val (max, maxidx) = A.zipWithIndex.maxBy(_._1)
    var max2 = A(0)
    var i = 1
    while (i < N) {
      if (i != maxidx) {
        max2 = max2 max A(i)
      }
      i += 1
    }

    println((0 until N). map { i =>
      if (i == maxidx) max2
      else max
    }. mkString("\n"))
  }

}