Teemu is going backpacking. His mom has given him two types of fruits, apples and bananas. As Teemu's stomach doesn't distinguish between them, each apple or banana gives him one hour of energy for backpacking. Given that his mom gave him A apples and B bananas, calculate how many hours Teemu can backpack if he doesn't have any other source of energy.

Input

The first line of input consists of two space-separated numbers, A and B.

Output

Output a single integer O, number of hours before Teemu is out of energy.

Constraints

• 0 \le A,B \le 10^6

Example

Input:

3 5

Output:

8