How to Solve Shopping Offers Leetcode Problem - Interview Coder Guide
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How to Solve Shopping Offers Problem

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Medium#638
LeetCode Problem

Shopping Offers

In LeetCode Store, there are n items to sell. Each item has a price. However, there are some special offers, and a special offer consists of one or more different kinds of items with a sale price. You...

ArrayDynamic ProgrammingBacktracking+3 more

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Problem Breakdown

Understanding the Shopping Offers Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

In LeetCode Store, there are n items to sell. Each item has a price. However, there are some special offers, and a special offer consists of one or more different kinds of items with a sale price. You are given an integer array price where price[i] is the price of the ith item, and an integer array needs where needs[i] is the number of pieces of the ith item you want to buy. You are also given an array special where special[i] is of size n + 1 where special[i][j] is the number of pieces of the jth item in the ith offer and special[i][n] (i.e., the last integer in the array) is the price of the ith offer. Return the lowest price you have to pay for exactly certain items as given, where you could make optimal use of the special offers. You are not allowed to buy more items than you want, even if that would lower the overall price. You could use any of the special offers as many times as you want.

MediumProblem #638
LeetCode

Shopping Offers

Related Topics
ArrayDynamic ProgrammingBacktrackingBit ManipulationMemoizationBitmask
How Interview Coder Helps

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Examples

Example 1
INPUT
price = [2,5], special = [[3,0,5],[1,2,10]], needs = [3,2]
OUTPUT
14
EXPLANATION

There are two kinds of items, A and B. Their prices are $2 and $5 respectively. In special offer 1, you can pay $5 for 3A and 0B In special offer 2, you can pay $10 for 1A and 2B. You need to buy 3A and 2B, so you may pay $10 for 1A and 2B (special offer #2), and $4 for 2A.

Example 2
INPUT
price = [2,3,4], special = [[1,1,0,4],[2,2,1,9]], needs = [1,2,1]
OUTPUT
11
EXPLANATION

The price of A is $2, and $3 for B, $4 for C. You may pay $4 for 1A and 1B, and $9 for 2A ,2B and 1C. You need to buy 1A ,2B and 1C, so you may pay $4 for 1A and 1B (special offer #1), and $3 for 1B, $4 for 1C. You cannot add more items, though only $9 for 2A ,2B and 1C.

Constraints

n == price.length == needs.length
1 <= n <= 6
0 <= price[i], needs[i] <= 10
1 <= special.length <= 100
special[i].length == n + 1
0 <= special[i][j] <= 50
The input is generated that at least one of special[i][j] is non-zero for 0 <= j <= n - 1.

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