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

import scala.collection.immutable

object Main extends App {

  def read(): (Int, immutable.IndexedSeq[Int]) = {
    val sc: Scanner = new Scanner(System.in)
    val n = sc.nextInt
    val arr = (1 to n).map { _ =>
      sc.nextInt
    }
    sc.close()
    (n, arr)
  }

  def solve(): String = {
    val (n, arr) = read()
    val arrAndIndex = arr.zipWithIndex.sortBy(- _._1)
    val ans = for(i <- 0 until arr.length) yield {
      if(arrAndIndex(0)._2 == i) arrAndIndex(1)._1
      else arrAndIndex(0)._1
    }
    ans.mkString("\n")
  }
  println(solve)

}