How to Solve Most Profit Assigning Work Problem
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Most Profit Assigning Work
You have n jobs and m workers. You are given three arrays: difficulty, profit, and worker where: difficulty[i] and profit[i] are the difficulty and the profit of the ith job, and worker[j] is the abil...
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Understanding the Most Profit Assigning Work Problem
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Problem Statement
You have n jobs and m workers. You are given three arrays: difficulty, profit, and worker where: difficulty[i] and profit[i] are the difficulty and the profit of the ith job, and worker[j] is the ability of jth worker (i.e., the jth worker can only complete a job with difficulty at most worker[j]). Every worker can be assigned at most one job, but one job can be completed multiple times. For example, if three workers attempt the same job that pays $1, then the total profit will be $3. If a worker cannot complete any job, their profit is $0. Return the maximum profit we can achieve after assigning the workers to the jobs.
Most Profit Assigning Work
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Examples
difficulty = [2,4,6,8,10], profit = [10,20,30,40,50], worker = [4,5,6,7]
100
Workers are assigned jobs of difficulty [4,4,6,6] and they get a profit of [20,20,30,30] separately.
difficulty = [85,47,57], profit = [24,66,99], worker = [40,25,25]
0
Constraints
n == difficulty.length
n == profit.length
m == worker.length
1 <= n, m <= 104
1 <= difficulty[i], profit[i], worker[i] <= 105
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