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How to Solve The Number of Good Subsets Problem
Master the The Number of Good Subsets LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Start Free for WindowsHard#1994
LeetCode ProblemThe Number of Good Subsets
You are given an integer array nums. We call a subset of nums good if its product can be represented as a product of one or more distinct prime numbers. Return the number of different good subsets in nums modulo 109 + 7. A subset of nums is any array that can be obtained by deleting some (possibly none or all) elements from nums. Two subsets are different if and only if the chosen indices to delete are different.
ArrayHash TableMathDynamic ProgrammingBit ManipulationCountingNumber TheoryBitmask
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Problem Breakdown
Understanding the The Number of Good Subsets Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given an integer array nums. We call a subset of nums good if its product can be represented as a product of one or more distinct prime numbers. Return the number of different good subsets in nums modulo 109 + 7. A subset of nums is any array that can be obtained by deleting some (possibly none or all) elements from nums. Two subsets are different if and only if the chosen indices to delete are different.
HardProblem #1994
LeetCodeThe Number of Good Subsets
Related Topics
ArrayHash TableMathDynamic ProgrammingBit ManipulationCountingNumber TheoryBitmask
How Phantom Code Helps
Get real-time assistance for The Number of Good Subsets problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
nums = [1,2,3,4]
Output
6
# Example 2
Input
nums = [4,2,3,15]
Output
5
Constraints
1 <= nums.length <= 105
1 <= nums[i] <= 30
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Solve The Number of Good Subsets — You are given an integer array nums. We call a subset of nums good if its produc...
Here's the optimal approach using Array:
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 The Number of Good Subsets and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like The Number of Good Subsets 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 The Number of Good Subsets?
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 The Number of Good Subsets?
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 The Number of Good Subsets 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 The Number of Good Subsets 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 The Number of Good Subsets 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 The Number of Good Subsets 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 The Number of Good Subsets 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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