An operation in which any pair $$(a, b)$$ of rational numbers is made to correspond to a rational number $$(a + b)$$ called the sum of a and b.

We can always express the sum of two rational number in the form of a repeating decimal sequence, which is not the case for irrational numbers.

Of course, the period can be zero.

### Examples

$$\dfrac{1}{2} + \dfrac{3}{5} = \dfrac{5}{10} + \dfrac{6}{10} = \dfrac{11}{10} = 1.1$$

Here, the period is 0.

$$\dfrac{2}{3} + \dfrac{3}{7} = \dfrac{14}{21} + \dfrac{9}{21} = \dfrac{23}{21} = 1.\overline{095238}$$

Here, the period is 095238.