How to Solve Maximum Value of K Coins From Piles Problem
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Maximum Value of K Coins From Piles
There are n piles of coins on a table. Each pile consists of a positive number of coins of assorted denominations. In one move, you can choose any coin on top of any pile, remove it, and add it to you...
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Understanding the Maximum Value of K Coins From Piles Problem
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Problem Statement
There are n piles of coins on a table. Each pile consists of a positive number of coins of assorted denominations. In one move, you can choose any coin on top of any pile, remove it, and add it to your wallet. Given a list piles, where piles[i] is a list of integers denoting the composition of the ith pile from top to bottom, and a positive integer k, return the maximum total value of coins you can have in your wallet if you choose exactly k coins optimally.
Maximum Value of K Coins From Piles
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Examples
piles = [[1,100,3],[7,8,9]], k = 2
101
The above diagram shows the different ways we can choose k coins. The maximum total we can obtain is 101.
piles = [[100],[100],[100],[100],[100],[100],[1,1,1,1,1,1,700]], k = 7
706
The maximum total can be obtained if we choose all coins from the last pile.
Constraints
n == piles.length
1 <= n <= 1000
1 <= piles[i][j] <= 105
1 <= k <= sum(piles[i].length) <= 2000
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