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How to Solve Minimum Time to Transport All Individuals Problem
Master the Minimum Time to Transport All Individuals LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Start Free for WindowsHard#3594
LeetCode ProblemMinimum Time to Transport All Individuals
You are given n individuals at a base camp who need to cross a river to reach a destination using a single boat. The boat can carry at most k people at a time. The trip is affected by environmental conditions that vary cyclically over m stages. Each stage j has a speed multiplier mul[j]: Each individual i has a rowing strength represented by time[i], the time (in minutes) it takes them to cross alone in neutral conditions. Rules: Return the minimum total time required to transport all individuals. If it is not possible to transport all individuals to the destination, return -1.
ArrayDynamic ProgrammingBit ManipulationGraphHeap (Priority Queue)Shortest PathBitmask
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Problem Breakdown
Understanding the Minimum Time to Transport All Individuals Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given n individuals at a base camp who need to cross a river to reach a destination using a single boat. The boat can carry at most k people at a time. The trip is affected by environmental conditions that vary cyclically over m stages. Each stage j has a speed multiplier mul[j]: Each individual i has a rowing strength represented by time[i], the time (in minutes) it takes them to cross alone in neutral conditions. Rules: Return the minimum total time required to transport all individuals. If it is not possible to transport all individuals to the destination, return -1.
HardProblem #3594
LeetCodeMinimum Time to Transport All Individuals
Related Topics
ArrayDynamic ProgrammingBit ManipulationGraphHeap (Priority Queue)Shortest PathBitmask
How Phantom Code Helps
Get real-time assistance for Minimum Time to Transport All Individuals problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
n = 1, k = 1, m = 2, time = [5], mul = [1.0,1.3]
Output
5.00000
# Example 2
Input
n = 3, k = 2, m = 3, time = [2,5,8], mul = [1.0,1.5,0.75]
Output
14.50000
# Example 3
Input
n = 2, k = 1, m = 2, time = [10,10], mul = [2.0,2.0]
Output
-1.00000
Constraints
1 <= n == time.length <= 12
1 <= k <= 5
1 <= m <= 5
1 <= time[i] <= 100
m == mul.length
0.5 <= mul[i] <= 2.0
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Solve Minimum Time to Transport All Individuals — You are given n individuals at a base camp who need to cross a river to reach a ...
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 Minimum Time to Transport All Individuals and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Minimum Time to Transport All Individuals 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 Minimum Time to Transport All Individuals?
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 Minimum Time to Transport All Individuals?
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 Minimum Time to Transport All Individuals 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 Minimum Time to Transport All Individuals 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 Minimum Time to Transport All Individuals 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 Minimum Time to Transport All Individuals 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 Minimum Time to Transport All Individuals 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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