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How to Solve Minimum Speed to Arrive on Time Problem
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Start Free for WindowsMedium#1870
LeetCode ProblemMinimum Speed to Arrive on Time
You are given a floating-point number hour, representing the amount of time you have to reach the office. To commute to the office, you must take n trains in sequential order. You are also given an integer array dist of length n, where dist[i] describes the distance (in kilometers) of the ith train ride. Each train can only depart at an integer hour, so you may need to wait in between each train ride. Return the minimum positive integer speed (in kilometers per hour) that all the trains must travel at for you to reach the office on time, or -1 if it is impossible to be on time. Tests are generated such that the answer will not exceed 107 and hour will have at most two digits after the decimal point.
ArrayBinary Search
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Problem Breakdown
Understanding the Minimum Speed to Arrive on Time Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given a floating-point number hour, representing the amount of time you have to reach the office. To commute to the office, you must take n trains in sequential order. You are also given an integer array dist of length n, where dist[i] describes the distance (in kilometers) of the ith train ride. Each train can only depart at an integer hour, so you may need to wait in between each train ride. Return the minimum positive integer speed (in kilometers per hour) that all the trains must travel at for you to reach the office on time, or -1 if it is impossible to be on time. Tests are generated such that the answer will not exceed 107 and hour will have at most two digits after the decimal point.
MediumProblem #1870
LeetCodeMinimum Speed to Arrive on Time
Related Topics
ArrayBinary Search
How Phantom Code Helps
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Examples
# Example 1
Input
dist = [1,3,2], hour = 6
Output
1
# Example 2
Input
dist = [1,3,2], hour = 2.7
Output
3
# Example 3
Input
dist = [1,3,2], hour = 1.9
Output
-1
Constraints
n == dist.length
1 <= n <= 105
1 <= dist[i] <= 105
1 <= hour <= 109
There will be at most two digits after the decimal point in hour.
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Solve Minimum Speed to Arrive on Time — You are given a floating-point number hour, representing the amount of time you ...
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
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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.
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How does Phantom Code help when I'm struggling with Minimum Speed to Arrive on Time 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.
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