问题 1806 --Cantor

1806: Cantor

时间限制: 10 Sec  内存限制: 128 MB
提交: 1  解决: 1
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题目描述

 

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.

 

 

输入

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.

输出

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

样例输入

0
1
0.875
END

样例输出

MEMBER
MEMBER
NON-MEMBER

提示

来源

 

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