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)

/// 1行の文字を空白で分割してVec<T>にする。
fn readone_multi<T : std::str::FromStr>(count : usize) -> Vec<T> {
    let mut v : Vec<T> = Vec::with_capacity(count);
    for _ in 0..count {
        let mut input = String::new();
        std::io::stdin().read_line(&mut input).unwrap();
        v.push(input.trim().parse().ok().unwrap());
    }
    v
}

fn main() {
    let mut input = String::new();
    std::io::stdin().read_line(&mut input).unwrap();
    let input : usize = input.trim().parse().ok().unwrap();
    let input = input;
    let vec : Vec<i32> = readone_multi(input);
    let mut max = 0;
    let mut maxcount : usize = 0;
    let mut maxlength = 0;
    let mut second = 0;
    for i in 0..input {
        if vec[i] > max {
            if second < max {
                second = max;
            }
            max = vec[i];
            maxcount = i;
            maxlength = 1;
            continue;
        }
        if vec[i] == max {
            maxlength += 1;
            continue;
        } 
        if vec[i] > second {
            second = vec[i];
        }
    }
    if maxlength > 1 {
        for _ in 0..input {
            println!("{}", max)
        }
        return;
    }
    for i in 0..input {
        if i == maxcount {
            println!("{}", second);
            continue;
        }
        println!("{}", max)
    }
}