Problem2145--Gena's Code

2145: Gena's Code

Time Limit: 2 Sec  Memory Limit: 256 MB
Submit: 0  Solved: 0
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Description

time limit per test
0.5 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

It's the year 4527 and the tanks game that we all know and love still exists. There also exists Great Gena's code, written in 2016. The problem this code solves is: given the number of tanks that go into the battle from each country, find their product. If it is turns to be too large, then the servers might have not enough time to assign tanks into teams and the whole game will collapse!

There are exactly n distinct countries in the world and the i-th country added ai tanks to the game. As the developers of the game are perfectionists, the number of tanks from each country is beautiful. A beautiful number, according to the developers, is such number that its decimal representation consists only of digits '1' and '0', moreover it contains at most one digit '1'. However, due to complaints from players, some number of tanks of one country was removed from the game, hence the number of tanks of this country may not remain beautiful.

Your task is to write the program that solves exactly the same problem in order to verify Gena's code correctness. Just in case.

Input

The first line of the input contains the number of countries n (1≤n≤100000). The second line contains n non-negative integers ai without leading zeroes− the number of tanks of the i-th country.

It is guaranteed that the second line contains at least n-1 beautiful numbers and the total length of all these number's representations doesn't exceed 100000.

Output

Print a single number without leading zeroes− the product of the number of tanks presented by each country.

Examples
Input
3
5 10 1
Output
50
Input
4
1 1 10 11
Output
110
Input
5
0 3 1 100 1
Output
0
Note

In sample 1 numbers 10 and 1 are beautiful, number 5 is not not.

In sample 2 number 11 is not beautiful (contains two '1's), all others are beautiful.

In sample 3 number 3 is not beautiful, all others are beautiful.

Source/Category