Leetcode - Maximum Number of Coins You Can Get Solution
Poor Man
- Published
- Updated
- Reading time
- 2 min read
- Length
- 276 words
There are 3n piles of coins of varying size, you and your friends will take piles of coins as follows:
- In each step, you will choose any 3 piles of coins (not necessarily consecutive).
- Of your choice, Alice will pick the pile with the maximum number of coins.
- You will pick the next pile with maximum number of coins.
- Your friend Bob will pick the last pile.
- Repeat until there are no more piles of coins.
Given an array of integers piles where piles[i] is the number of coins in the ith pile.
Return the maximum number of coins which you can have.
Example 1:
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Input: piles = [2,4,1,2,7,8]
Output: 9
Explanation: Choose the triplet (2, 7, 8), Alice Pick the pile with 8 coins, you the pile with 7 coins and Bob the last one.
Choose the triplet (1, 2, 4), Alice Pick the pile with 4 coins, you the pile with 2 coins and Bob the last one.
The maximum number of coins which you can have are: 7 + 2 = 9.
On the other hand if we choose this arrangement (1, 2, 8), (2, 4, 7) you only get 2 + 4 = 6 coins which is not optimal.Example 2:
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Input: piles = [2,4,5]
Output: 4Example 3:
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Input: piles = [9,8,7,6,5,1,2,3,4]
Output: 18Constraints:
3 <= piles.length <= 10^5piles.length % 3 == 01 <= piles[i] <= 10^4
Solution in Python#
Python
class Solution:
def maxCoins(self, piles: List[int]) -> int:
n = len(piles)
sorted_piles = sorted(piles)[::-1]
return sum(sorted_piles[i] for i in range(1, n//3*2+1,2))