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Recurring Sequence In A Fraction

1. You are given two numbers which represent the numerator and denominator of a fraction. 2. You have to convert this fraction into a decimal. 3. If the decimals are repeating recursively, then you have to put the recurring sequence inside a bracket.

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Recurring Sequence In A Fraction

hard

1. You are given two numbers which represent the numerator and denominator of a fraction. 2. You have to convert this fraction into a decimal. 3. If the decimals are repeating recursively, then you have to put the recurring sequence inside a bracket.

Constraints

1 <= N1,N2 <= 2000

Format

Input

A number N1 representing the numerator of a fraction. A number N2 representing the denominator of a fraction.

Output

A String representing a decimal number.

Example

Sample Input

8 4

Sample Output

2

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