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 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 and Description
Solution()

Method Summary

Modifier and Type	Method and 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 Detail

Solution

public Solution()

Method Detail

maximumScore

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