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>
// max1 >= max2
int main(int argc, char * argv[]) {
    int n, max1, max2, pos1, pos2;
    scanf("%d", &n);
    int a[n];
    scanf("%d", &a[0]);
    scanf("%d", &a[1]);
    if(a[0] >= a[1]){
        max1 = a[0];
        pos1 = 0;
        max2 = a[1];
        pos2 = 1;
    }else{
        max1 = a[1];
        pos1 = 1;
        max2 = a[0];
        pos2 = 0;
    }
    for(int i = 2;i < n;i++){
        scanf("%d", &a[i]);
        if(max1 < a[i]){
            max1 = a[i];
            pos1 = i;
        }else if(max2 < a[i]){
            max2 = a[i];
            pos2 = i;
        }
    }
    for(int i = 0;i < n;i++){
        if(pos1 != i){
            printf("%d\n", max1);
        }else{
            printf("%d\n", max2);
        }
    }
    return 0;
}