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)

fn read<T: std::str::FromStr>() -> T {
    let mut buf = String::new();
    std::io::stdin().read_line(&mut buf).ok();
    buf.trim().parse().ok().unwrap()
}

fn main() {
    let n: usize = read();
    let a: Vec<usize> = (0..n).map(|_| read()).collect();
    let mut max_id = 0_usize;
    let mut max1 = 0_usize;
    let mut max2 = 0_usize;
    for (i, &j) in a.iter().enumerate() {
        if j > max2 {
            if j > max1 {
                max2 = max1;
                max1 = j;
                max_id = i;
            } else {
                max2 = j;
            }
        }
    }

    for i in 0..n {
        if i != max_id {
            println!("{}", max1);
        } else {
            println!("{}", max2);
        }
    }
}