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::{stdin, stdout, BufWriter, Read, StdinLock, Write};
use std::str::FromStr;

struct Scanner<'a> {
    cin: StdinLock<'a>,
}

impl<'a> Scanner<'a> {
    fn new(cin: StdinLock<'a>) -> Scanner<'a> {
        Scanner { cin: cin }
    }

    fn read_<T: FromStr>(&mut self) -> Option<T> {
        let token = self
            .cin
            .by_ref()
            .bytes()
            .map(|c| c.unwrap() as char)
            .skip_while(|c| c.is_whitespace())
            .take_while(|c| !c.is_whitespace())
            .collect::<String>();
        token.parse::<T>().ok()
    }

    fn read<T: FromStr>(&mut self) -> T {
        self.read_().unwrap()
    }
}

fn main() {
    let cin = stdin();
    let cin = cin.lock();
    let mut sc = Scanner::new(cin);

    let n: i32 = sc.read();
    let mut array: Vec<i32> = vec![];
    for _ in 0..n {
        array.push(sc.read());
    }

    let mut max = 0;
    let mut max_i = 0;
    for i in 0..n {
        if array[i as usize] > max {
            max = array[i as usize];
            max_i = i;
        }
    }

    let mut max_2 = 0;
    for i in 0..n {
        if i == max_i {
            continue;
        }

        if max_2 < array[i as usize] {
            max_2 = array[i as usize];
        }
    }

    let out = stdout();
    let mut out = BufWriter::new(out.lock());
    for i in 0..n {
        if max_i == i {
            writeln!(out, "{}", max_2).unwrap();
        } else {
            writeln!(out, "{}", max).unwrap();
        }
    }
}