P2911 [USACO08OCT] Bovine Bones G

Description

Bessie loves board games and role-playing games so she persuaded Farmer John to drive her to the hobby shop where she purchased three dice for rolling. These fair dice have S1, S2, and S3 sides respectively (2

Input Format

\* Line 1: Three space-separated integers: S1, S2, and S3

Output Format

\* Line 1: The smallest integer sum that appears most frequently when the dice are rolled in every possible combination.

Explanation/Hint

Here are all the possible outcomes. ``` 1 1 1 -> 3 1 2 1 -> 4 2 1 1 -> 4 2 2 1 -> 5 3 1 1 -> 5 3 2 1 -> 6 1 1 2 -> 4 1 2 2 -> 5 2 1 2 -> 5 2 2 2 -> 6 3 1 2 -> 6 3 2 2 -> 7 1 1 3 -> 5 1 2 3 -> 6 2 1 3 -> 6 2 2 3 -> 7 3 1 3 -> 7 3 2 3 -> 8 ``` Both 5 and 6 appear most frequently (five times each), so 5 is the answer.