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)

function Main(input)
{
    const args = input.split('\n');
    const numbers = args.slice(1, args.length).map(x => parseInt(x, 10));
    const sorted_numbers = numbers.slice().sort((a, b) => a - b);
    const last_number = sorted_numbers[sorted_numbers.length - 1];
    const next_number = sorted_numbers[sorted_numbers.length - 2];

    for(var v of numbers) {
        console.log(last_number === v ? next_number : last_number);
    }
}

Main(require("fs").readFileSync("/dev/stdin", "utf8"));