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: Time Limit Exceeded)

#include<stdio.h>
int A[200000] ={0};
int main()
{
    int N=0;
    int max = 0;
    (void)scanf("%d",&N);


    for(int i = 0; i < N; i++)
    {
      (void)scanf("%d", &A[i]);
    }

    for(int j = 0; j < N; j++)
    {
       max = 0;
       for(int k = 0; k < N; k++)
       {
         if(j==k)
         {
              continue;
         }
         if(max < A[k])
         {
             max = A[k];
         }
       }
       printf("%d\n",max);
    }

    return 0;
}