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How to Solve Number of Ways to Buy Pens and Pencils Problem
Master the Number of Ways to Buy Pens and Pencils LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Start Free for WindowsMedium#2240
LeetCode ProblemNumber 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 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.
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 #2240
LeetCodeNumber of Ways to Buy Pens and Pencils
Related Topics
MathEnumeration
How Phantom Code Helps
Get real-time assistance for Number of Ways to Buy Pens and Pencils problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
total = 20, cost1 = 10, cost2 = 5
Output
9
# Example 2
Input
total = 5, cost1 = 10, cost2 = 10
Output
1
Constraints
1 <= total, cost1, cost2 <= 106
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Solve Number of Ways to Buy Pens and Pencils — You are given an integer total indicating the amount of money you have. You are ...
Here's the optimal approach using Math:
def solve(input):
# Optimal O(n) solution
return result
Time: O(n) | Space: O(n)
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Frequently Asked Questions
Common questions about solving Number of Ways to Buy Pens and Pencils and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Number of Ways to Buy Pens and Pencils during interviews?
Phantom Code generates complete solutions instantly with proper complexity analysis, letting you focus on explaining your approach and demonstrating problem-solving skills rather than getting stuck on implementation details during high-pressure situations.
What if the interviewer asks follow-up questions or modifications to problems like Number of Ways to Buy Pens and Pencils?
Phantom Code adapts in real-time. Screenshot the modified problem or use audio mode to capture the interviewer's follow-up, and get an updated solution within seconds — including edge cases and optimizations.
Can Phantom Code help me communicate my solution for problems like Number of Ways to Buy Pens and Pencils?
Yes. Phantom Code provides step-by-step approach explanations with 3 progressive thoughts, so you can walk through your solution naturally. It also provides time and space complexity analysis to discuss trade-offs.
How does Phantom Code assist with different programming languages for Number of Ways to Buy Pens and Pencils type problems?
Phantom Code supports 11 programming languages including Python, Java, C++, JavaScript, TypeScript, Go, Rust, Ruby, Swift, Kotlin, and C#. Set your preferred language and get idiomatic solutions.
What coding mistakes does Phantom Code help me avoid during Number of Ways to Buy Pens and Pencils interviews?
Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
Is Phantom Code detectable when solving problems like Number of Ways to Buy Pens and Pencils during live interviews?
No. Phantom Code runs as an invisible desktop overlay that doesn't appear in screen shares, recordings, or proctoring software. It works with Zoom, HackerRank, CodeSignal, CoderPad, and all major platforms.
How does Phantom Code help when I'm struggling with Number of Ways to Buy Pens and Pencils style questions under pressure?
The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
Does Phantom Code work for the coding platforms used in Number of Ways to Buy Pens and Pencils interviews?
Yes. Phantom Code works with all major coding platforms including LeetCode, HackerRank, CodeSignal, CoderPad, HackerEarth, and any browser-based coding environment.
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