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 Kotlin (1.0.0) (judge verdict: Accepted)

import java.util.*

fun main(args : Array<String>) {
    val sc = Scanner(System.`in`)
    val n = sc.nextInt()
    var maxIndex = 0;
    var secondMax = 0;
    var max = 0;
    for(i in 1..n){
        val v = sc.nextInt();
        if(v > max){ 
          secondMax = max; 
          max = v;
          maxIndex = i;
        }
        else if(v > secondMax){
          secondMax = v;
        }
    }
  
    for( i in 1..maxIndex -1){
        println(max);
    }
    println(secondMax);
    for(i in maxIndex+1..n){
        println(max);
    }
}