Package g1701_1800.s1753_maximum_score_from_removing_stones

Class Solution

java.lang.Object
g1701_1800.s1753_maximum_score_from_removing_stones.Solution
public class Solution extends java.lang.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 Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    maximumScore(int a, int b, int c)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • maximumScore

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