Herb Mixing

Interview

Time limit1sMemory limit2048 MB

Summary

Given counts of green and red herbs, find the maximum health boost from combining them using the listed recipes.

Level: Medium4 of 10
Topics: Dynamic programming, Implementation
Solved: No attempts yet

Problem

Leon has collected some herbs of two possible colors: green and red. Leon's health level will be boosted after he eats those herbs. Mixing the herbs can increase their effect according to the following recipes:

One green herb: Boosts health by $1$ .
Two green herbs: Boosts health by $3$ .
Three green herbs: Boosts health by $10$ .
One green herb and one red herb: Boosts health by $10$ .

The herbs cannot be consumed in any way other than those listed above.

What is the maximum amount of Leon's health that can be boosted if he optimally mixes and eats his herbs?

Input

Input contains two integers between $0$ and $100$ (both inclusive), the number of green herbs and the number of red herbs that Leon has collected.

Output

Output a single integer, the maximum amount of Leon's health that can be boosted.

Examples2

Example 1
Input
```
8 3
```
Expected output
```
43
```
Example 2
Input
```
0 2
```
Expected output
```
0
```