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 Rust (1.42.0) (judge verdict: Accepted)

use proconio::input;
use std::cmp::Reverse;

fn main() {
    input! {
        n: usize,
        mut a: [i32; n],
    }

    let mut a1 = a.clone();
    a1.sort_by_key(|&k| Reverse(k));

    let larget_element = a1[0];
    let second_largest_element = a1[1];

    for a in a {
        let ans = if a == larget_element {
            second_largest_element
        } else {
            larget_element
        };

        println!("{}", ans);
    }
}