#include <bits/stdc++.h>
using namespace std;
const int N = 1000100;
int n;
int a[N << 1], r[N];
int ret[N << 1];
int main() {
    scanf("%d", &n);
    for (int i = 1; i <= n * 2; ++i) scanf("%d", a + i), r[a[i]] = i;
    if (n % 2 != 0) {
        puts(":(");
        return 0;
    } 
    for (int i = 1, ans = n; i <= n * 2; ++i) {
        if (ret[i]) continue;
        int t = r[a[i]];
        if (ans > 0 && t != n * 2) ret[i] = ret[t] = 1, ans -= 2;
        else ret[i] = ret[t] = 2;
    }
    int o = 0;
    for (int i = 1; i <= n * 2; ++i) {
        if (ret[i] == 1) ++o;
        else --o;
        if (o < 0) {
            puts(":(");
            return 0;
        }
    }
    for (int i = 1; i <= n * 2; ++i) putchar(ret[i] == 1 ? '(' : ')');
    return 0;
}