Two Pointers · 15 min · free with an account

Challenge: Same-Direction Pointers

Lesson preview · about 30%

Remove values below 5 stably and return the kept prefix.

Core idea

First make the visible case correct, then test a smallest, duplicate, or adversarial case. Trim whitespace surrounding the complete input before parsing.

Start with the idea

Solve the exact task, not just the visible example: Remove values below 5 stably and return the kept prefix. On input [7,2,5,4,9], predict the output before opening the answer reveal. The revealed output is a test oracle for this case, while private checks exercise other legal cases. Start by stating the input grammar and output format in your own words. Parse the complete input, including surrounding whitespace, before relying on any convenient positions in the example.

Build the solution around one maintained claim: Let a read pointer inspect every item while a write pointer marks the kept prefix. Decide what state represents that claim, how it is initialized, what a single update does, and when the algorithm stops. Two positions move according to a monotone fact: after one comparison, some candidates can be ruled out permanently. Name that fact. Trace the visible input by hand and record at least two intermediate states, not only the final answer. If the trace cannot justify your predicted output, there is a gap between the idea and the implementation.

Use the Rust sketch as a guide, not a substitute for a complete solve function. The supplied Rust sketch is a starting point. Identify what it stores, how one iteration changes it, and whether it already solves the exact task or only demonstrates a related operation. Use explicit bounds for both indices.

Keep learning, for free

The rest of this lesson is waiting for you.

Create a free account to read the complete explanation, see the infographic, explore the code, and try the exercises. All 742 lessons and algorithm steps are included.

No payment details. Your account opens the complete Academy.

← All lessons in Algorithms