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 int_compare(const int* a, const int* b)
{
    if (*a > *b) {
        return -1;
    } else if (*a < *b) {
        return 1;
    } else {
        return 0;
    }
}

int main(void)
{
    int n;
    scanf("%d", &n);
    int* arr = calloc(n, sizeof(int));
    for (int i = 0; i < n; i++) {
        scanf("%d", &arr[i]);
    }

    int* sorted = calloc(n, sizeof(int));
    for (int i = 0; i < n; i++) {
        sorted[i] = arr[i];
    }

    qsort(sorted, n, sizeof(int), (int (*)(const void*, const void*))(*int_compare));

    int max = sorted[0];
    int second_max = sorted[1];

    for (int i = 0; i < n; i++) {
        if (arr[i] == max) {
            printf("%d\n", second_max);
        } else {
            printf("%d\n", max);
        }
    }
    return 0;
}