Confirm the role
typicalRead the exact opening and identify the role of Algorithm invariants in its responsibilities. Write down confirmed requirements separately from assumptions about the company.
Attempt the fundamentals
typicalBegin with traverse a matrix in spiral order and index anagram candidates. State the contract aloud, then preserve the test case or diagram that exposed your first gap.
Work through failure cases
typicalUse the worked solutions to connect retrieval interfaces to a concrete outcome. Change one assumption, explain what breaks and verify the revised result.
Explain and review
typicalRehearse one project decision and a timed technical answer. Ask the interviewer which constraints matter before optimizing; use feedback to revise the weakest explanation.
Choose a category, try a prompt, then open its approach, worked solution or follow-up when you need it.
Traverse a matrix in spiral order
Return a clockwise traversal of a rectangular matrix starting at its top-left corner. Support an empty matrix and reject ragged rows.
Approach
- Track top, bottom, left and right bounds around the unvisited rectangle. Traverse the top row, right column, bottom row and left column, shrinking the corresponding boundary after each pass. Each boundary describes cells that remain eligible.
- Before the bottom and left passes, check that the bounds still overlap. A single remaining row or column otherwise gets visited twice. Draw the traversal on a 2-by-3 matrix and then a one-row matrix to expose the duplicate-visit bug.
- Every cell is emitted once, so time is O(rows times columns); boundary storage is constant apart from the output. Validate the rectangular shape once rather than adding scattered index exceptions. State whether the input may be mutated; this solution does not need mutation.
Worked solution 40 min
Shrink the unvisited rectangle
Traverse [[1,2,3],[4,5,6]] clockwise.
- The first top-row pass emits 1,2,3 and advances top. The right-column pass emits 6 and reduces right. The remaining bottom-row pass emits 5,4.
- At that point top exceeds bottom, so the left-column pass is skipped. Those guards are essential for a final one-row or one-column rectangle; without them cells are emitted twice.
- Reject ragged rows before traversal so the boundary invariant stays simple. An empty outer list and a rectangular zero-column matrix both return an empty output. The implementation preserves the matrix and emits each cell exactly once.
def spiral(matrix):
if not matrix:
return []
width = len(matrix[0])
if any(len(row) != width for row in matrix):
raise ValueError("ragged matrix")
top, bottom, left, right = 0, len(matrix)-1, 0, width-1
out = []
while top <= bottom and left <= right:
for col in range(left, right+1): out.append(matrix[top][col])
top += 1
for row in range(top, bottom+1): out.append(matrix[row][right])
right -= 1
if top <= bottom:
for col in range(right, left-1, -1): out.append(matrix[bottom][col])
bottom -= 1
if left <= right:
for row in range(bottom, top-1, -1): out.append(matrix[row][left])
left += 1
return outScroll sideways to view long lines.
Follow-up
- Can you yield values lazily?
- How does the starting corner change the traversal?
Index anagram candidates
Given lowercase ASCII candidates, determine whether a query is an anagram of any candidate. Count repeated letters and define empty-string behavior.
Approach
- Choose a canonical representation that preserves multiplicity. A set of letters cannot distinguish ab from aab. A sorted string is simple; a 26-element count tuple has linear construction cost under the explicit lowercase ASCII contract.
- Build a set of candidate signatures once when many queries share the same dictionary. Query time is proportional to query length plus fixed alphabet size. For a single query, explain whether indexing every candidate is justified by the workload.
- Decide normalization before expanding the alphabet. Unicode case folding, combining marks and grapheme clusters need a product-specific policy. Do not silently strip punctuation or spaces. Test repeated characters, an empty candidate and strings with the same unique letters but different counts.
Worked solution 40 min
Build frequency signatures
Index ["tea", "aab", ""] and test the queries "eat", "abb" and "".
- The signature has one count per lowercase ASCII letter. Incrementing the count preserves repeated occurrences: aab and abb therefore differ even though both use only a and b.
- Store immutable tuples in a set. Repeated candidate words or anagrams collapse to one signature, which is appropriate for existence queries but not for returning every matching original word.
- Reject input outside the declared alphabet so accidental Unicode behavior does not become an undocumented normalization policy. With a fixed 26-letter alphabet, constructing the index is linear in total candidate characters plus the per-word fixed tuple cost.
def signature(word):
counts = [0] * 26
for ch in word:
if not 'a' <= ch <= 'z':
raise ValueError("lowercase ASCII required")
counts[ord(ch)-ord('a')] += 1
return tuple(counts)
def anagram_index(words):
return {signature(word) for word in words}Scroll sideways to view long lines.
Follow-up
- What changes for a dictionary updated continuously?
- How would you specify Unicode normalization?
Check binary-tree symmetry
Check whether a binary tree is symmetric in both node values and structure. An empty tree is symmetric.
Approach
- Compare two positions as mirrors: both absent succeeds, only one absent fails, and differing values fail. Recursively pair the left child of one side with the right child of the other, then the remaining two children.
- Avoid checking only traversal values; different structures can yield misleading sequences. Construct an asymmetric example with identical values but a missing child on one side to verify structural handling.
- A pair queue makes the same invariant iterative and avoids recursion depth limits. Time is O(n). Auxiliary memory depends on tree width for the queue or height for recursion. Name that distinction rather than calling every traversal constant-space.
Follow-up
- How would you avoid recursion for a skewed tree?
- Why is comparing sorted node values insufficient?
No worked solutions in this category. Turn off the filter to see all prompts.
Design a retrieval interface
Design a library interface for searching papers, fetching by stable ID and paginating results without coupling callers to an index implementation.
Approach
- Define stable domain objects and input/output contracts first. Separate metadata retrieval from ranking; the same paper identity should survive a search-index rebuild. Return a page token and a stated consistency model rather than leaking a backend cursor accidentally.
- Inject a search backend behind a narrow interface. Tests should check unknown IDs, empty results, duplicate records and pagination behavior under updates. Make score interpretation explicit: a score from one ranking version may not be comparable with another.
- Capture a query/ranker version in diagnostic metadata so regressions can be reproduced. Bound request size and use deadlines. Keep authorization filters inside the retrieval boundary so a downstream presentation layer cannot accidentally expose records it was never meant to receive.
Follow-up
- How would you compare two ranker versions fairly?
- What does pagination promise while papers are added?
Prevent stale autocomplete results
Design a React search box that debounces input and never displays an older response as the result of a newer query.
Approach
- Maintain input state separately from the last accepted result. Debouncing reduces request volume but does not solve response ordering: an old request can finish after a newer one. Assign a request generation or use an effect-local ignore flag.
- On cleanup, cancel the timer and abort the request where supported. Also gate success and error state updates on whether the request is still current. Treat cancellation as expected control flow rather than a user-visible failure.
- Represent loading, empty results and errors explicitly. Give the input and suggestions accessible labels, keyboard navigation and stable result identifiers. Test slow-old/fast-new responses, a cleared query and unmount; those cases are more revealing than a happy-path screenshot.
Worked solution 40 min
Trace overlapping requests
Input changes from "ai" to "aim". Request B for "aim" completes before request A for "ai".
- Assign A generation 1 and B generation 2 when each is started. The current generation is 2. When B completes, accept its results because its generation still matches the current request.
- When A completes, discard both its results and any error state from that completion. If A were permitted to set loading=false or error after B succeeds, the UI could still regress even if stale results were blocked.
- On input clear or unmount, invalidate the current generation, cancel a pending debounce timer and abort network work where possible. A library may implement request ownership differently, but the same acceptance invariant must hold.
Follow-up
- How would cached results interact with request generations?
- What if the network client cannot abort a request?
Allow about one hour per session and move time toward the actual assessment. This is an editorial learning schedule, not the length of the hiring process.
Build the foundations
Code, query and define your contracts.
0 / 7 done01Map the actual role60 min
- Read the official company resource and the specific vacancy.
- List unknowns about interview format and tools.
Deliverable: A role brief separating stated requirements from assumptions
02Traverse a matrix in spiral order60 min
- Attempt the prompt before reading its approach.
- Explain one boundary case and answer its follow-up.
Deliverable: A written answer with a concrete example and one corrected assumption
Practice prompt ↗03Index anagram candidates60 min
- Attempt the prompt before reading its approach.
- Explain one boundary case and answer its follow-up.
Deliverable: A written answer with a concrete example and one corrected assumption
Practice prompt ↗04Check binary-tree symmetry60 min
- Attempt the prompt before reading its approach.
- Explain one boundary case and answer its follow-up.
Deliverable: A written answer with a concrete example and one corrected assumption
Practice prompt ↗05Prevent stale autocomplete results60 min
- Attempt the prompt before reading its approach.
- Explain one boundary case and answer its follow-up.
Deliverable: A written answer with a concrete example and one corrected assumption
Practice prompt ↗06Design a retrieval interface60 min
- Attempt the prompt before reading its approach.
- Explain one boundary case and answer its follow-up.
Deliverable: A written answer with a concrete example and one corrected assumption
Practice prompt ↗07Negotiate research and engineering goals60 min
- Attempt the prompt before reading its approach.
- Explain one boundary case and answer its follow-up.
Deliverable: A written answer with a concrete example and one corrected assumption
Practice prompt ↗Connect & rehearse
Design, explain and revise with evidence.
0 / 7 done08Shrink the unvisited rectangle60 min
- Complete the worked exercise independently.
- Run or manually trace its checks and compare with the expected result.
Deliverable: An implementation or decision diagram plus recorded checks
Practice prompt ↗Worked solution ↗09Build frequency signatures60 min
- Complete the worked exercise independently.
- Run or manually trace its checks and compare with the expected result.
Deliverable: An implementation or decision diagram plus recorded checks
Practice prompt ↗Worked solution ↗10Trace overlapping requests60 min
- Complete the worked exercise independently.
- Run or manually trace its checks and compare with the expected result.
Deliverable: An implementation or decision diagram plus recorded checks
Practice prompt ↗Worked solution ↗11Connect the boundaries60 min
- Draw the user request, state owner and one failure path.
- Explain where retries, ordering or lifetime assumptions could fail.
Deliverable: An annotated workflow with a recovery check
12Prepare an evidence-based story60 min
- Choose an actual project relevant to the role.
- Explain your decision, a rejected option and feedback that changed it.
Deliverable: A two-minute story with an honest account of your contribution
13Run a timed mock60 min
- Pick one technical prompt and one follow-up.
- Record where you relied on an unstated assumption or could not explain a result.
Deliverable: A short list of specific gaps from the mock
Practice prompt ↗14Repair and consolidate60 min
- Redo the weakest exercise without looking at the answer.
- Prepare questions about ownership, review and success in this exact team.
Deliverable: A tested final attempt and three questions for the interviewer
Expand any day for tasks and deliverables. Your progress is saved on this device.
Connect your experience to Algorithm invariants and Retrieval interfaces. Use an actual example; do not turn the hypothetical exercises into claims about your work.
Negotiate research and engineering goals
Describe how you would work with a scientist whose experiment needs conflict with service reliability or reproducibility.
Approach
- Start by identifying the scientific question and the engineering constraint separately. A useful experiment may prioritize iteration speed while a public service requires stable behavior. Do not assume one set of priorities should always dominate.
- Propose a bounded experiment with an agreed dataset, model version, evaluation measure and rollback point. Record what can change freely and what must remain fixed to interpret the result. Make ownership of data preparation and evaluation explicit.
- Discuss a concrete disagreement from your own work when possible. Explain how you surfaced uncertainty and revised the plan after evidence, without presenting research iteration as undisciplined work. A successful answer shows shared understanding and a decision that can be revisited.
Follow-up
- What would you log to reproduce an evaluation?
- How do you handle a promising result that cannot yet be reproduced?
- 01
Describe a requirement you clarified before changing an implementation. What example resolved the ambiguity?
- 02
Explain a tradeoff where correctness or maintainability changed your first approach. What did you test?
- 03
Describe feedback that changed your design. Identify your own action and what you would do differently now.
Are these confirmed Allen Institute for AI interview questions?
The topics were selected from a third-party company guide. PracHub wrote the clarified exercises, solution approaches and follow-ups. Their presence in that source is not independent confirmation of what a current interviewer will ask.
Dataford: Allen Institute for AI Software Engineer guide ↗What interview rounds should I expect?
The available evidence does not establish a verified team-specific sequence. Ask about screening, practical assessments, project discussions, tool rules and evaluation criteria for your actual opening. The visual checkpoints here describe preparation activities.
Must I use the language in the worked example?
Use the assessment language when specified. The reference snippets make a contract easy to test; they do not establish the employer stack. Explain how the same invariant maps to your chosen language, library and database.
How should I use the practice cards?
Choose a category, attempt the prompt and then open the approach. For a worked solution, compare both output and edge cases. Close it and try again with one changed requirement; recognition alone is not a reliable sign of understanding.
What should I prioritize with only a weekend?
Work through traverse a matrix in spiral order, attempt shrink the unvisited rectangle and prepare one honest project story. Record the assumptions you cannot defend, then resolve those before expanding the topic list.
How does editorial practice differ from the PracHub question bank?
These exercises live within this guide and do not create company question-bank records. The main practice button uses the current available bank for the company or role. Its count is separate from the number of editorial prompts.
PracHub: Software Engineer questions ↗Sources & methodology 5 sources ↗
Official role evidence, timestamped platform data and clearly labeled preparation advice.
- 01Allen Institute for AI: official resource ↗
Business context: AI research and engineering tools. This source is not used to invent interview rounds.
official · Accessed 2026-09-15 - 02Dataford: Allen Institute for AI Software Engineer guide ↗
Third-party source of selected topics; current employer attribution is not independently confirmed.
platform · Accessed 2026-09-15 - 03PracHub: Software Engineer questions ↗
Role-level practice destination; separate from editorial prompts.
platform · Accessed 2026-09-15 - 04Python collections ↗
Reference for ordered mappings and queue-based implementations.
official · Accessed 2026-09-15 - 05React: useEffect ↗
Review effect cleanup and stale asynchronous response handling.
official · Accessed 2026-09-15