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)

#![allow(dead_code, unused_variables, unused_imports)]
use proconio::marker::Chars;
use proconio::{fastout, input};
use std::cmp::{max, min};
use std::collections::{HashMap, HashSet};

#[fastout]
fn main() {
    input!{
        n:usize,
        mut a:[usize;n],
    }
    let b = a.clone();
    a.sort();
    let n_max = a[n-1];
    let next = a[n-2];

    for e in b{
        if e != n_max{
            println!("{}",n_max);
        }else{
            println!("{}",next);
        }
    }
}