ExamAdda Logo

Car Fleet

Easy

There are n cars traveling toward the same destination.

You are given two integer arrays:

  • target — the destination position.
  • position[i] — the starting position of the ith car.
  • speed[i] — the speed of the ith car.

A car cannot pass another car. If a faster car catches up to a slower car, they form a car fleet and travel together at the slower car's speed.

Return the number of car fleets that will arrive at the destination.

Example 1

Input

12
5
10 8 0 5 3
2 4 1 1 3

Output

3

Explanation

The cars form three fleets that reach the destination.

Example 2

Input

10
3
3 5 7
3 2 1

Output

1

Explanation

All three cars eventually catch up and form a single fleet before reaching the destination.

Constraints

1 <= n <= 10^5
0 < target <= 10^6
0 <= position[i] < target
0 < speed[i] <= 10^6
All values of position are unique.

Hints:

Hint 1

Calculate the time required for every car to reach the destination:

time = (target - position[i]) / speed[i]

Hint 2

Sort the cars by their starting positions from closest to the destination to farthest.

Author & Technical Reviewer

ExamAdda Technical Review Team

Technically reviewed by: ExamAdda Technical Review Team

Technical Reviewers, ExamAdda

Software engineers at ExamAdda who check every article's definitions, complexity claims and code examples before and after publishing.

Published

Aug 10, 2026

Last updated

Aug 10, 2026

Content Verification Methodology

Definitions and complexity claims were checked against authoritative computer-science references. Code examples were compiled and tested with standard, boundary and edge-case inputs.

Report a correction:editorial@examadda.org
Auto
Loading editor...
Input

Expected Output