java.lang.Object
g1701_1800.s1753_maximum_score_from_removing_stones.Solution

public class Solution extends Object
1753 - Maximum Score From Removing Stones\. Medium You are playing a solitaire game with **three piles** of stones of sizes `a`, `b`, and `c` respectively. Each turn you choose two **different non-empty** piles, take one stone from each, and add `1` point to your score. The game stops when there are **fewer than two non-empty** piles (meaning there are no more available moves). Given three integers `a`, `b`, and `c`, return _the_ **_maximum_** _**score** you can get._ **Example 1:** **Input:** a = 2, b = 4, c = 6 **Output:** 6 **Explanation:** The starting state is (2, 4, 6). One optimal set of moves is: - Take from 1st and 3rd piles, state is now (1, 4, 5) - Take from 1st and 3rd piles, state is now (0, 4, 4) - Take from 2nd and 3rd piles, state is now (0, 3, 3) - Take from 2nd and 3rd piles, state is now (0, 2, 2) - Take from 2nd and 3rd piles, state is now (0, 1, 1) - Take from 2nd and 3rd piles, state is now (0, 0, 0) There are fewer than two non-empty piles, so the game ends. Total: 6 points. **Example 2:** **Input:** a = 4, b = 4, c = 6 **Output:** 7 **Explanation:** The starting state is (4, 4, 6). One optimal set of moves is: - Take from 1st and 2nd piles, state is now (3, 3, 6) - Take from 1st and 3rd piles, state is now (2, 3, 5) - Take from 1st and 3rd piles, state is now (1, 3, 4) - Take from 1st and 3rd piles, state is now (0, 3, 3) - Take from 2nd and 3rd piles, state is now (0, 2, 2) - Take from 2nd and 3rd piles, state is now (0, 1, 1) - Take from 2nd and 3rd piles, state is now (0, 0, 0) There are fewer than two non-empty piles, so the game ends. Total: 7 points. **Example 3:** **Input:** a = 1, b = 8, c = 8 **Output:** 8 **Explanation:** One optimal set of moves is to take from the 2nd and 3rd piles for 8 turns until they are empty. After that, there are fewer than two non-empty piles, so the game ends. **Constraints:** * 1 <= a, b, c <= 105
  • Constructor Details

    • Solution

      public Solution()
  • Method Details

    • maximumScore

      public int maximumScore(int a, int b, int c)