Cantor

The ternary expansion of a number is that number written in base 3. A number can have more than one ternary expansion. A ternary expansion is indicated with a subscript 3. For example, 1 = 1₃ = 0.222...₃, and 0.875 = 0.212121...₃.

The Cantor set is defined as the real numbers between 0 and 1 inclusive that have a ternary expansion that does not contain a 1. If a number has more than one ternary expansion, it is enough for a single one to not contain a 1.

For example, 0 = 0.000...₃ and 1 = 0.222...₃, so they are in the Cantor set. But 0.875 = 0.212121...₃ and this is its only ternary expansion, so it is not in the Cantor set.

Your task is to determine whether a given number is in the Cantor set.

The input consists of several test cases.

Each test case consists of a single line containing a number x written in decimal notation, with 0 <= x <= 1, and having at most 6 digits after the decimal point.

The last line of input is END. This is not a test case.

For each test case, output MEMBER if x is in the Cantor set, and NON-MEMBER if x is not in the Cantor set.

0
1
0.875
END

MEMBER
MEMBER
NON-MEMBER

University of Waterloo Local Contest 2009.10