Teemu is going backpacking. His mom has given him two types of fruit: apples and bananas. As Teemu's stomach does not distinguish between them, each apple or banana gives him one hour of energy for backpacking. Given that his mom has given him A apples and B bananas, calculate how many hours Teemu can backpack if he has no 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: the number of hours before Teemu runs out of energy.

Constraints

• 0 \le A,B \le 10^6

Example

Input:

3 5

Output:

8