Poisonous Cookies

Takahashi has A untasty cookies containing antidotes, B tasty cookies containing antidotes and C tasty cookies containing poison.

Eating a cookie containing poison results in a stomachache, and eating a cookie containing poison while having a stomachache results in a death. As he wants to live, he cannot eat one in such a situation. Eating a cookie containing antidotes while having a stomachache cures it, and there is no other way to cure stomachaches.

Find the maximum number of tasty cookies that Takahashi can eat.

Constraints

• 0 \leq A,B,C \leq 10^9
• A,B and C are integers.

Input

Input is given from Standard Input in the following format:

A B C

Output

Print the maximum number of tasty cookies that Takahashi can eat.

Examples

Input

3 1 4

Output

5

Input

5 2 9

Output

10

Input

8 8 1

Output

9

inputFormat

Input

Input is given from Standard Input in the following format:

A B C

outputFormat

Output

Print the maximum number of tasty cookies that Takahashi can eat.

Examples

Input

3 1 4

Output

5

Input

5 2 9

Output

10

Input

8 8 1

Output

9

样例

3 1 4

5