Drum

Interview

Time limit1sMemory limit1024 MB

Summary

Given hit counts X (left hand) and Y (right hand) per beat, print the order of hits in one beat: 1 for left, 2 for right, 3 for both.

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

Problem

Yeonghyeon, who is just starting to learn the drums, has a problem. Drumming depends on timing, but Yeonghyeon has serious trouble keeping the beat.

Sometimes the left and right hands must play in different rhythms. If the left hand must play $X$ times and the right hand $Y$ times in one beat, the left hand plays every $1/X$ beat and the right hand plays every $1/Y$ beat. For $X=2$ and $Y=3$ , the order is (right) / (left) / (right) / (left + right), as shown in the figure.

When Yeonghyeon faces this situation, he cannot play at all. Find the order in which the drum should be played to help him.

Input

Two integers $X$ and $Y$ are given on one line. $X$ is the number of times the left hand must play in one beat, and $Y$ is the number of times the right hand must play in one beat. ( $1 \le X, Y \le 100$ )

Output

Print the order in which the drum is played. Print 1 if only the left hand plays, 2 if only the right hand plays, and 3 if both hands play.

Examples2

Example 1
Input
```
2 3
```
Expected output
```
2123
```
Example 2
Input
```
4 2
```
Expected output
```
1313
```