Task

Given two integers a and b, return the sum of the numerator and the denominator of the reduced fraction a/b.

Example

For a = 2, b = 4, the result should be 3

Since 2/4 = 1/2 => 1 + 2 = 3.

For a = 10, b = 100, the result should be 11

Since 10/100 = 1/10 => 1 + 10 = 11.

For a = 5, b = 5, the result should be 2

Since 5/5 = 1/1 => 1 + 1 = 2.

Input/Output

• [input] integer a

The numerator, 1 ≤ a ≤ 2000.

• [input] integer b

The denominator, 1 ≤ b ≤ 2000.

• [output] an integer

The sum of the numerator and the denominator of the reduced fraction.