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#F2300. Jeff and Digits

    ID: 2306 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 1 上传者: 标签>枚举模拟数学算法思想编程与模拟入门难度共享题库Codeforces英文题面题目来源题面语言

Jeff and Digits

题目描述

A. Jeff and Digits
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

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 is the largest possible number divisible by 90 Jeff can make from the cards he's got?

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

Input

The first line contains integer n (1≤n≤103). The next line contains n integers a1, a2, ..., an (ai=0 or ai=5). Number ai represents the digit that is 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 make any divisible by 90 number from the cards, print -1.

Examples
Input
4
5 0 5 0
Output
0
Input
11
5 5 5 5 5 5 5 5 0 5 5
Output
5555555550
Note

In the first test you can make only one number that is a multiple of 90 − 0.

In the second test you can make number 5555555550, it is a multiple of 90.


题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 1913 题。保留原作者与原赛事署名。