I Scream

Source: AtCoder

Problem Statement

A product has $A\%$ milk-solids-not-fat and $B\%$ milk fat, so total milk solids are $A+B$. Classify in priority order: type $1$ if $A+B\ge15$ and $B\ge8$; type $2$ if not type $1$ but $A+B\ge10$ and $B\ge3$; type $3$ if neither above but $A+B\ge3$; otherwise type $4$.

Input

One line contains $A$ and $B$.

Output

Print the category number $1$, $2$, $3$, or $4$.

Subtasks

• Subtask 1 (100%): $0 \le A,B \le 100$; $A+B\le100$

Examples

Example 1

Input

10 8

Output

1

Explanation

For the sample values 10, 8, evaluating the conditions in the statement gives 1. Therefore the program prints the shown output.

Example 2

Input

1 2

Output

3

Explanation

For the sample values 1, 2, evaluating the conditions in the statement gives 3. Therefore the program prints the shown output.

Example 3

Input

0 0

Output

4

Explanation

For the sample values 0, 0, evaluating the conditions in the statement gives 4. Therefore the program prints the shown output.