How to Solve K Items With the Maximum Sum Problem
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K Items With the Maximum Sum
There is a bag that consists of items, each item has a number 1, 0, or -1 written on it. You are given four non-negative integers numOnes, numZeros, numNegOnes, and k. The bag initially contains: numO...
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Understanding the K Items With the Maximum Sum Problem
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Problem Statement
There is a bag that consists of items, each item has a number 1, 0, or -1 written on it. You are given four non-negative integers numOnes, numZeros, numNegOnes, and k. The bag initially contains: numOnes items with 1s written on them. numZeroes items with 0s written on them. numNegOnes items with -1s written on them. We want to pick exactly k items among the available items. Return the maximum possible sum of numbers written on the items.
K Items With the Maximum Sum
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Examples
numOnes = 3, numZeros = 2, numNegOnes = 0, k = 22We have a bag of items with numbers written on them {1, 1, 1, 0, 0}. We take 2 items with 1 written on them and get a sum in a total of 2. It can be proven that 2 is the maximum possible sum.
numOnes = 3, numZeros = 2, numNegOnes = 0, k = 43We have a bag of items with numbers written on them {1, 1, 1, 0, 0}. We take 3 items with 1 written on them, and 1 item with 0 written on it, and get a sum in a total of 3. It can be proven that 3 is the maximum possible sum.
Constraints
0 <= numOnes, numZeros, numNegOnes <= 500 <= k <= numOnes + numZeros + numNegOnesHow Interview Coder Helps with Leetcode Problems
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