How to Solve Number of Ways to Buy Pens and Pencils Leetcode Problem - Interview Coder Guide
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How to Solve Number of Ways to Buy Pens and Pencils Problem

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Medium#2351
LeetCode Problem

Number of Ways to Buy Pens and Pencils

You are given an integer total indicating the amount of money you have. You are also given two integers cost1 and cost2 indicating the price of a pen and pencil respectively. You can spend part or all...

MathEnumeration

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Problem Breakdown

Understanding the Number of Ways to Buy Pens and Pencils Problem

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

Problem Statement

You are given an integer total indicating the amount of money you have. You are also given two integers cost1 and cost2 indicating the price of a pen and pencil respectively. You can spend part or all of your money to buy multiple quantities (or none) of each kind of writing utensil. Return the number of distinct ways you can buy some number of pens and pencils.

MediumProblem #2351
LeetCode

Number of Ways to Buy Pens and Pencils

Related Topics
MathEnumeration
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Examples

Example 1
INPUT
total = 20, cost1 = 10, cost2 = 5
OUTPUT
9
EXPLANATION

The price of a pen is 10 and the price of a pencil is 5. - If you buy 0 pens, you can buy 0, 1, 2, 3, or 4 pencils. - If you buy 1 pen, you can buy 0, 1, or 2 pencils. - If you buy 2 pens, you cannot buy any pencils. The total number of ways to buy pens and pencils is 5 + 3 + 1 = 9.

Example 2
INPUT
total = 5, cost1 = 10, cost2 = 10
OUTPUT
1
EXPLANATION

The price of both pens and pencils are 10, which cost more than total, so you cannot buy any writing utensils. Therefore, there is only 1 way: buy 0 pens and 0 pencils.

Constraints

1 <= total, cost1, cost2 <= 106

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