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Help Calculating Max Value


dsbpac

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I have an array that has salary, position, and projected.

 

 

$arr[] = array('salary'  => $row["salary"], 'position'  => $row["position"], 'projected'  => $row["projected"])

 

Position = QB, RB, WR, TE, PK, DEF

 

Salary = 7000, 8300, 5000

 

Projection = 10, 20, 30

 

I need help wrapping my head around how to do the following. I want the script to give me the most possible projected points based on a total salary number and limited to specific amount of players in each position.

 

QB -1

RB - 2

WR - 3

TE - 1

PK - 1

DEF - 1

 

Max salary of 60k.

 

Any help is greatly appreciated.

 

 

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What you're dealing with is known as the knapsack problem. It is not trivial to solve.

 

How large is $arr? The easiest solution will probably be to generate every possible combination of players, then filter out the ones that do not meet your team and salary requirements, then find the one with the maximum projection.

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