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: Accepted)

use std::io::Read;

fn main() {
    let mut buf = String::new();
    std::io::stdin().read_to_string(&mut buf).unwrap();
    let mut iter = buf.split_whitespace();
    let n: usize = iter.next().unwrap().parse().unwrap();
    let a: Vec<usize> = (0..n)
        .map(|_| iter.next().unwrap().parse().unwrap())
        .collect();
    let mut l = a.clone();
    let mut r = a.clone();
    for i in 1..n {
        l[i] = std::cmp::max(l[i], l[i - 1]);
    }
    for i in (0..n-1).rev() {
        r[i] = std::cmp::max(r[i], r[i + 1]);
    }
    for i in 0..n {
        let mut ans = 0;
        if i >= 1 {
            ans = std::cmp::max(ans, l[i - 1]);
        }
        if i + 1 < n {
            ans = std::cmp::max(ans, r[i + 1]);
        }
        println!("{}", ans);
    }
}