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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.HashMap;
import java.util.Scanner;

public class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    int N = sc.nextInt();
    int[] A = new int[N];
    HashMap<Integer, Integer> map = new HashMap<>();
    int max1 = 0, max2 = 0;
    for (int i = 0; i < N; i++) {
      A[i] = sc.nextInt();
      Integer cnt = map.getOrDefault(A[i], 0);
      map.put(A[i], cnt + 1);
      if (A[i] >= max1) {
        max2 = max1;
        max1 = A[i];
      } else if (A[i] >= max2) {
        max2 = A[i];
      }
    }
    for (int i = 0; i < N; i++) {
      int ans;
      if (A[i] == max1) {
        if (map.get(max1) > 1) {
          ans = max1;
        } else {
          ans = max2;
        }
      } else {
        ans = max1;
      }
      System.out.println(ans);
    }
  }
}