Given a real number between 0 and 1 (e.g., 0.72) that is passed in as a double, print the binary representation. If the number cannot be represented accurately in binary with at most 32 characters, print "ERROR".

Example1:

 Input: 0.625

 Output: "0.101"

Example2:

 Input: 0.1

 Output: "ERROR"

 Note: 0.1 cannot be represented accurately in binary.

Note:

• This two charaters "0." should be counted into 32 characters.
• The number of decimal places for num is at most 6 digits