I Thought of a Number

Interview

Time limit1sMemory limit1024 MB

Summary

Given a and b, find the starting number that becomes b after dividing by a, subtracting a, and repeating those two steps once more.

Level: Easy2 of 10
Topics: Math, Implementation
Solved: No attempts yet

Problem

One day Bobi told his brother Ivo: I thought of a number. Find it if you can. Divide it by a, subtract a from the result, and perform the same two steps again on the new number. The final result is b. Help Ivo by writing a program think that, given a and b, finds the number Bobi thought of.

Input

The input contains two integers a and b from standard input.

Output

Print the number Bobi thought of to standard output.

Constraints

$1 \le a \le 100$

$1 \le b \le 100$

Examples1

Example 1
Input
```
7 33
```
Expected output
```
2009
```