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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
public class ABC134C {
    public static void Main() {
        int N, max, max2, maxIndex, max2Index;
        List<int> A = new List<int>();
        N = int.Parse(Console.ReadLine());
        for (int i = 0; i < N; i++) {
            A.Add(int.Parse(Console.ReadLine()));
        }

        if (A[0] >= A[1]) {
            max = A[0];
            maxIndex = 0;
            max2 = A[1];
            max2Index = 1;
        } else {
            max = A[1];
            maxIndex = 1;
            max2 = A[0];
            max2Index = 0;
        };
        for (int i = 2; i < N; i++) {
            if (A[i] >= max) {
                max2 = max;
                max2Index = maxIndex;
                max = A[i];
                maxIndex = i;
            } else if (A[i] > max2) {
                max2 = A[i];
                max2Index = i;
            }
        }
        for (int i = 0; i < N; i++) {
            if (i == maxIndex) Console.WriteLine(max2);
            else Console.WriteLine(max);
        }
    }
}