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)

fun main(args: Array<String>) {
    val n = readInputLine().toInt()
    val aList = mutableListOf<Int>()
    
    var max = 0
    var maxNumCount = 0
    var secondNum = 0
    
    for (i in 1..n) {
        val a = readInputLine().toInt()
        
        if (a > max) {
            secondNum = max
            max = a
            maxNumCount = 0
        } else if (a > secondNum) {
            secondNum = a
        }
        if (a == max) {
            maxNumCount++
        }
        
        aList.add(a)
    }
    
    for (a in aList) {
        if (maxNumCount >= 2) {
            println(max)
        } else if (a == max) {
            println(secondNum)
        } else {
            println(max)
        }
    }
}

fun readInputLine(): String {
    return readLine()!!
}