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: Runtime Error)

const input = require('fs').readFileSync('/dev/stdin','utf8')
                           .split("\n")
                           .map(i => Number(i))
const N = input[0]
const A = input.slice(1,input.length-1)
const sort = A.slice(0,A.length).sort((a,b) => a-b)
const max = Math.max(...sort)

if(sort.filter(i => max === i).length > 1) {
    var maxsecond = max
}else{
    var maxsecond = sort[sort.length-2]
}

for(var i = 0;i<N;i++) {
    if(max === A[i]) {
        console.log(maxsecond)
    }else{
        console.log(max)
    }
}