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 = 1_{3} = 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.