Problem A
Cantor

Georg Cantor (public domain)

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, $1=1_3=0.222{\dots }_3$, and $0.875=0.212121{\dots }_3$.

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, $0=0.000{\dots }_3$ and $1=0.222{\dots }_3$, so they are in the Cantor set. But $0.875=0.212121{\dots }_3$ 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.

Input

The input consists of several test cases, at most $10$.

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

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

Output

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