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: Wrong Answer)

fun main(args: Array<String>) {
    val n = readLine()!!.toInt()
    val numbers = mutableListOf<Int>()
    for (i in 0 until n) {
        numbers.add(readLine()!!.toInt())
    }

    val maxNumber = numbers.fold(initial = 0, operation = { a, b -> Math.max(a,b)})
    val maxNumberCount = numbers.filter { it == maxNumber }.size

    val sortedNumbers = numbers.sorted()

    for (i in 0 until n) {
        if (numbers[i] < maxNumber) {
            println(maxNumber)
        } else {
            if (maxNumberCount > 1) {
                println(maxNumber)
            } else {
                println(sortedNumbers[1])
            }
        }
    }
}