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>

int main(void){
    long n, max1=0, max2=0, maxnum=0;/*max1最大値, その次 */
    scanf("%ld", &n);
    long a[n];
    for(long i=0; i<n; i++){
        scanf("%ld", &a[i]);
        if(a[i] > max1){
            max2 = max1; 
            max1 = a[i];
            maxnum = i;//最大値を持つiを保存しておく
        } 
        else if(a[i] <= max1 && a[i] > max2) max2 = a[i];
    } 
    puts("");
    for(long i=0; i<n; i++){
        if(i == maxnum){
            printf("%ld\n", max2);
        }else{
            printf("%ld\n", max1);
        }
    }

    return 0;
}