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.Scanner;
import java.util.InputMismatchException;

class Main {
   public static void main(String args[]) {
      int N=0;
      int[] z;
      Scanner scanner = new Scanner(System.in);
      N = scanner.nextInt();
      z = new int[N];
      for (int i=0; i<N; i++) {
         z[i] = scanner.nextInt();
      }
      scanner.close();
      int max = -1;
      int count = 0;
      for (int i=0; i<N; i++) {
         if (z[i]>max) {
            //System.out.println(z[i]);
            max = z[i];
         }
      }
      for (int i=0; i<N; i++) {
         if (z[i] == max) {
            count++;
         }
      }
      int max2 = -1;
      for (int i=0; i<N; i++) {
         if (z[i] == max) {
            continue;
         } else if (z[i] > max2) {
            max2 = z[i];
         }
      }

      if (max2 == -1) {
         for (int i=0; i<N; i++) {
            System.out.println(max);
         }
      } else {
         for (int i=0; i<N; i++) {
            if (z[i] == max && count == 1) {
               System.out.println(max2);
            } else {
               System.out.println(max);
            }
         }
      }

   }
}