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: Accepted)

#include <stdio.h>
#include <stdlib.h>
int cmp(const void *a, const void *b){
    return *(int *)b - *(int *)a;
}
int main(void)
{
    int N;
    int A[200010],B[200010];
    scanf("%d", &N);
    for(int i=0;i<N;i++){
        scanf("%d", &A[i]);
        B[i]=A[i];
    }
    qsort(A,N,sizeof(int),cmp);
    
    for(int i=0;i<N;i++){
        //A[i]と最大値が異なる場合
        if(A[0]!=B[i]) printf("%d\n",A[0]);
        //A[i]が最大値と同じ場合、2番目に大きい値を表示
        else printf("%d\n",A[1]);
    }
}