A Number Spelled in Letters

Easy

You are given a string num, the decimal form of a positive integer. Convert the number to hexadecimal using uppercase A–F. Then replace every digit 0 with the letter O and every digit 1 with the letter I. If the result now contains only letters from the set A, B, C, D, E, F, I, O, return it. If any digit from 2 to 9 is left, return the string "ERROR".

Example 1

num='2766' → 'ACE'

2766 in hexadecimal is ACE, and every symbol is already a letter.

Example 2

num='4096' → 'IOOO'

4096 is 1000 in hexadecimal: the one becomes I and the zeros become O, giving IOOO.

Example 3

num='100' → 'ERROR'

100 is 64 in hexadecimal: 6 and 4 have no letter form, so the answer is ERROR.

Constraints

num consists of digits only and has no leading zeros
1 ≤ len(num) ≤ 40

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Topics

Math String

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Input

num='2766'

Expected

'ACE'

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