Codeforces Round #204 (Div. 2)--a Find patterns--jeff and Digits

Jeff ' s got n cards, each card contains either digit 0, or digit 5. Jeff can choose several cards and put them in a line so that he gets some number. What's the largest possible number divisible by all Jeff can make from the cards he ' s got?

Jeff must make the number without leading zero. At that, we assume the so number 0 doesn ' t contain any leading zeroes. Jeff doesn ' t has the use of all the cards.

Input

The first line contains integer n(1≤ n ≤10^{3). The next line contains n integers a_{1, a2, ..., a n (ai = 0 or ai = 5). Number airepresents the digit that's written on the I-th card.}}

Output

In a single line print the answer to the problem-the maximum number, divisible by 90. If you can ' t do any divisible by a number from the cards, print-1.

Sample Input

Input

4
5 0 5 0

Output

0

Input

11
5 5 5 5 5 5 5 5 0 5 5

Output

5555555550

Hint

In the first test, you can make only one number, which is a multiple of 90- 0.

In the second test you can do number 5555555550, it is a multiple of .

/*   Rule   9 5 can be divisible by 9 to put   0 all to the end, if there is no 0 failure */#include <cstdio> #include <cstring> #include < Algorithm>using namespace Std;int Main () {    int n;    int a[1100];    while (~SCANF ("%d", &n)) {for        (int i = 1; I <= n; i++)            scanf ("%d", &a[i]);        int NUM1 = 0, num2 = 0;        for (int i = 1; I <= n; i++) {            if (a[i] = = 5)                 num1++;            if (a[i] = = 0)                 num2++;        }        Num1/= 9;             if (num2 = = 0) {printf (" -1\n"); continue;}        if (Num1 = = 0 && num2! = 0) {printf ("0\n"); continue;}        if (Num1 = = 0 && num2 = = 0) {printf (" -1\n"); continue;}        else {for        (int i = 1; I <= num1; i++) {            printf ("555555555");        }        for (int i = 1; I <= num2; i++)         printf ("0");        }        Puts ("");    }    return 0;}

　　

Codeforces Round #204 (Div. 2)--a Find patterns--jeff and Digits