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 = readLine()!!.toInt()
    var a = arrayListOf<Int>()
    for (i in 0 until n){
        a.add(readLine()!!.toInt())
    }
    val m_1 = a.max()
    val s = a.filter{ it == m_1 }.size
    if (s >= 2) for (i in 0 until n) println(m_1)
    if (s == 1) {
        val idx = a.indexOf(m_1)
        var b = a.toMutableList()
        b.removeAt(idx)
        val m_2 = b.max()
        for (i in 0 until n) {
            if (i == idx) println(m_2) else println(m_1)
        }
    }
}