Multiplication 2

Given N integers A_1, ..., A_N, compute A_1 \times ... \times A_N.

However, if the result exceeds 10^{18}, print -1 instead.

Constraints

• 2 \leq N \leq 10^5
• 0 \leq A_i \leq 10^{18}
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

N A_1 ... A_N

Output

Print the value A_1 \times ... \times A_N as an integer, or -1 if the value exceeds 10^{18}.

Examples

Input

2 1000000000 1000000000

Output

1000000000000000000

Input

3 101 9901 999999000001

Output

-1

Input

31 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0

Output

0

inputFormat

input are integers.

Input

Input is given from Standard Input in the following format:

N A_1 ... A_N

outputFormat

Output

Print the value A_1 \times ... \times A_N as an integer, or -1 if the value exceeds 10^{18}.

Examples

Input

2 1000000000 1000000000

Output

1000000000000000000

Input

3 101 9901 999999000001

Output

-1

Input

31 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0

Output

0

样例

3
101 9901 999999000001

-1