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 (GCC 5.4.1) (judge verdict: Wrong Answer)

    #include <stdio.h>

    int main(void)
    {
      int array[200000],i,max,second,num;

      scanf("%d",&num);

      for(i=0;i<num;i++)
      {
        scanf("%d",&array[i]);
      }

      max = second = 0;

      for(i=0;i<num;i++)
      {
        if(array[i] > max)
        {
          max = array[i];
        }
      }

      for(i=0;i<num;i++)
      {
        if(array[i] > second && array[i]!=max)
        {
          second = array[i];
        }
      }

      if(second == 0)
      {
        second = max;
      }

      for(i=0;i<num;i++)
      {
        if(array[i] < max)
        {
          printf("%d\n",max);
        }
        else
        {
          printf("%d\n",second);
        }
      }

      return 0;
    }