Your task is to solve an equation of the form f (x) = 0 where f (x) is written in postfix notation with numbers, operations +, -, *, /, and at most one occurrence of a variable x .

For example, f (x) for an equation (4x + 2)/2 = 0 is written as:

The solution for f (x) = 0 is x = - 1/2 .

Input 

The input file consists of a single line with at most 30 tokens separated by spaces. Each token is either:

• a digit from 0 to 9;
• an operation +, -, *, or /;
• an uppercase letter X that denotes variable x .

The input file contains a correct representation of f (x) in postfix notation where token X occurs at most once. There is no division by a constant zero in this equation, that is, there always exists a value of x , such that f (x) can be evaluated without division by zero.

Output 

Write to the output file:

• X = p/q if equation f (x) = 0 has a single solution that can be represented with a simple fraction p/q , where p and q are coprime integer numbers and q is positive.
• NONE if equation f (x) = 0 has no solution;
• MULTIPLE if equation f (x) = 0 has multiple solutions.

Sample Input 

4 X * 2 + 2 /
2 2 * 
0 2 X / *

Sample Output 

X = -1/2 
NONE 
MULTIPLE