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How to Solve Find Sum of Array Product of Magical Sequences Problem
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LeetCode ProblemFind Sum of Array Product of Magical Sequences
You are given two integers, m and k, and an integer array nums. The array product of this sequence is defined as prod(seq) = (nums[seq[0]] * nums[seq[1]] * ... * nums[seq[m - 1]]). Return the sum of the array products for all valid magical sequences. Since the answer may be large, return it modulo 109 + 7. A set bit refers to a bit in the binary representation of a number that has a value of 1.
ArrayMathDynamic ProgrammingBit ManipulationCombinatoricsBitmask
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Problem Breakdown
Understanding the Find Sum of Array Product of Magical Sequences Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given two integers, m and k, and an integer array nums. The array product of this sequence is defined as prod(seq) = (nums[seq[0]] * nums[seq[1]] * ... * nums[seq[m - 1]]). Return the sum of the array products for all valid magical sequences. Since the answer may be large, return it modulo 109 + 7. A set bit refers to a bit in the binary representation of a number that has a value of 1.
HardProblem #3539
LeetCodeFind Sum of Array Product of Magical Sequences
Related Topics
ArrayMathDynamic ProgrammingBit ManipulationCombinatoricsBitmask
How Phantom Code Helps
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Examples
# Example 1
Input
m = 5, k = 5, nums = [1,10,100,10000,1000000]
Output
991600007
# Example 2
Input
m = 2, k = 2, nums = [5,4,3,2,1]
Output
170
# Example 3
Input
m = 1, k = 1, nums = [28]
Output
28
Constraints
1 <= k <= m <= 30
1 <= nums.length <= 50
1 <= nums[i] <= 108
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Solve Find Sum of Array Product of Magical Sequences — You are given two integers, m and k, and an integer array nums. The array produc...
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Frequently Asked Questions
Common questions about solving Find Sum of Array Product of Magical Sequences and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Find Sum of Array Product of Magical Sequences 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 Find Sum of Array Product of Magical Sequences?
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.
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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 Find Sum of Array Product of Magical Sequences 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 Find Sum of Array Product of Magical Sequences 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 Find Sum of Array Product of Magical Sequences 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 Find Sum of Array Product of Magical Sequences 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 Find Sum of Array Product of Magical Sequences 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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