#D11445. Apple Pie

    ID: 9517 Type: Default 2000ms 1073MiB

Apple Pie

Apple Pie

We have A apples and P pieces of apple.

We can cut an apple into three pieces of apple, and make one apple pie by simmering two pieces of apple in a pan.

Find the maximum number of apple pies we can make with what we have now.

Constraints

  • All values in input are integers.
  • 0 \leq A, P \leq 100

Input

Input is given from Standard Input in the following format:

A P

Output

Print the maximum number of apple pies we can make with what we have.

Examples

Input

1 3

Output

3

Input

0 1

Output

0

Input

32 21

Output

58

inputFormat

input are integers.

  • 0 \leq A, P \leq 100

Input

Input is given from Standard Input in the following format:

A P

outputFormat

Output

Print the maximum number of apple pies we can make with what we have.

Examples

Input

1 3

Output

3

Input

0 1

Output

0

Input

32 21

Output

58

样例

1 3
3