Roger has found numbers, numbered . Roger wants to know how many digits there are in the binary representation of the product . Help Roger find this number!
The first line will consist of a single integer, .
The next line will consist of space separated integers, .
Print the number of digits in the binary representation of the product .
5 2 2 2 2 2
Explanation of Sample Output
Let denote a decimal number and denote a binary number. .