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 JavaScript (node.js v5.12) (judge verdict: Wrong Answer)

"use strict"
function main(arg) {
    var data = arg.trim().split("\n").map(Number)
    data.shift()
    //1
    var v1Index = 0
    //2
    var v2Index = 1
    for (var i = 2; i < data.length; i++) {
        var value = data[i]
        var v1Value = data[v1Index]
        var v2Value = data[v2Index]
        //
        if (value >= v2Value) {
            if (value >= v1Value) {
                // 1位だったとき
                v2Index = v1Index
                v1Index = i
            } else {
                // 2位
                v2Index = i
            }
        }
    }
    for (var i = 0; i < data.length; i++) {
        if (i === v1Index) {
            console.log(data[v2Index])
        } else {
            console.log(data[v1Index])
        }
    }
}
main(require('fs').readFileSync('/dev/stdin', 'utf8'));