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 (1.15.1) (judge verdict: Wrong Answer)

use std::io::stdin;

fn main() {
    let mut n = String::new();
    stdin().read_line(&mut n).unwrap();
    let n: usize = n.trim().parse().unwrap();

    let mut l = [0; 200003];
    let mut r = [0; 200003];
    let array: Vec<usize> = (0..n).map(|_| {
        let mut a = String::new();
        stdin().read_line(&mut a).unwrap();
        a.trim().parse().unwrap()
    }).collect();
    for (i, &a) in array.iter().enumerate() {
        l[i + 1] = if a > l[i] { a } else { l[i] };
    }
    for (i, &a) in array.iter().rev().enumerate() {
        r[i + 1] = if a > l[i] { a } else { l[i] };
    }
    for i in 1..n+1 {
        let li = i - 1;
        let ri = n - i;
        println!("{}", if l[li] < r[ri] { r[ri] } else { l[li] });
    }
}