Optimal purchase algorithm

an algorithm for shopping cart, the general flow is:

know the price and importance level of each item (1 to 5 are the most important). In the case of a limited amount, you can buy one or more goods, each with a quantity of 1, achieving the highest points (price x importance).

raise chestnut:
A Commodity: price 100RMB, important level 3
B Commodity: price 350, important level 2
C Commodity: price 800, important level 5
D Commodity: price 550, important level 1

Total amount of account: 3000 yuan

introduce four items of ABCD, and figure out which one or several items to buy has the highest score. Who has the idea of algorithm? Thank you!

Algorithm
Mar.03,2021

this is a knapsack problem . Dynamic programming is used to solve the knapsack problem. If you nest two loops, one state transition equation can produce the result. Specifically, you can take a look at this article 01 knapsack problem . Post his code: 

-sharpinclude<iostream>
-sharpinclude<algorithm>
using namespace std;

int main()
{
    const int N = 6;                     //
    const int V = 10;                    //
    int C[N + 1] = { -1,5,6,5,1,19,7 };  //i1
    int W[N + 1] = { -1,2,3,1,4,6,5 };   //i
    int F[N + 1][V + 1] = { 0 };         //

    for (int i = 1; i <= N; iPP)  //i
        for (int v = 0; v <= V; vPP)
        {
            F[i][v] = F[i - 1][v];  //i
            if (v - C[i] >= 0 && F[i][v] < F[i - 1][v - C[i]] + W[i])  //i
                F[i][v] = F[i - 1][v - C[i]] + W[i];
        }

    cout << ":" << F[N][V] << endl;  //9

    return 0;
}

I hope I can help you.

Previous: Logic problem in remove_duplicates in python

Next: Front and rear data report error, why can the data be transmitted to the background through Ajax, but the controller also reports an error?

css mysql arrays josn react html typescript webpack npm sass R objective-c .net sql-server jquery python-3.x angularjs django angular excel regex iphone ajax linux xml pandas vba spring database wordpress string wpf xcode windows bash postgresql oracle multithreading eclipse list firebase algorithm macos forms image scala visual-studio azure bootstrap spring-boot react-native python-2.7 docker performance function winforms matlab powershell apache dataframe api sqlite numpy rest shell selenium flutter dart maven loops qt swing android-studio csv express file class tensorflow sorting codeigniter perl
MySQL Query : SELECT * FROM `codeshelper`.`v9_news` WHERE status=99 AND catid='6' ORDER BY rand() LIMIT 5
MySQL Error : Disk full (/tmp/#sql-temptable-64f5-1e4bd0b-43ddb.MAI); waiting for someone to free some space... (errno: 28 "No space left on device")
MySQL Errno : 1021
Message : Disk full (/tmp/#sql-temptable-64f5-1e4bd0b-43ddb.MAI); waiting for someone to free some space... (errno: 28 "No space left on device")
Need Help?