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 java.util.Scanner

object Main extends App{
  val sc = new Scanner(System.in)

  val n = sc.nextInt
  val al = List.fill(n)(sc.nextInt)

  val (max, semiMax) =
    al.foldLeft((0, 0)){case ((m, sm), a) =>
      if (a >= m) (a,m)
      else if(a >= sm) (m, a)
      else (m, sm)
    }

  al.foreach { a =>
    println {
      if (a == max) semiMax
      else max
    }
  }
}