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Databricks·Software Engineer·Technical Phone Screen·Intermediate

IntermediatePrefer not to say
Jun 2026Remote

Summary

Databricks SWE interview that went deep on compression algorithms, covering both run-length encoding and bit-packing from scratch. Two related problems, more implementation detail than I expected, and the complexity analysis at the end caught me a little flat-footed.

Questions Asked (4)

Q1

Implement RLE compression and decompression for an ASCII string, where consecutive runs of the same character are encoded as a count followed by the character. Handle edge cases like empty strings, single characters, and runs with counts larger than 9 or 255.

Algorithms & Data StructuresTechnical Trade-offs
Author's notes

I jumped straight into the happy path and forgot about multi-digit counts for way too long.

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AI HintsAI Generated

Suggested Approach

Start by clarifying the encoding format and edge cases, then implement compression by scanning the string and counting consecutive characters, and decompression by parsing counts and characters. Discuss how to handle counts larger than 9 or 255, such as using multi-digit counts or a delimiter, and consider trade-offs like readability vs. compactness.

Pro tip: Demonstrate awareness of real-world constraints: mention that RLE is often used in formats like BMP or fax, where counts are limited to 255, and propose a robust encoding scheme (e.g., count as decimal string followed by character) that handles arbitrary run lengths without ambiguity.

1. Clarify requirements and edge cases

Ask about the expected encoding format (e.g., count as decimal digits followed by character) and how to handle runs longer than 9 or 255. Confirm behavior for empty string, single character, and non-alphanumeric characters.

2. Design the compression algorithm

Iterate through the string, count consecutive identical characters, and append the count (as a string) followed by the character to the output. Ensure counts are correctly represented even if they exceed one digit.

3. Design the decompression algorithm

Parse the compressed string by reading digits to form the count, then read the next character and repeat it count times. Handle cases where the count may be multi-digit and ensure the input is valid.

4. Analyze complexity and trade-offs

Discuss time and space complexity (O(n) for both compression and decompression). Compare alternative encoding schemes (e.g., fixed-width counts vs. variable-length) and their impact on compression ratio and simplicity.

5. Test with edge cases

Walk through examples: empty string, single character, runs of length 1, runs >9, runs >255, and strings with mixed runs. Verify that compression and decompression are inverses.

Key Points to Mention

  • Encoding format: count as decimal string followed by character (e.g., '12A' for 12 A's) to handle multi-digit counts.
  • Edge cases: empty string returns empty string; single character returns '1A'; runs of length 1 are encoded as '1A'.
  • Handling counts >9 or >255: using variable-length decimal representation avoids overflow and ambiguity.
  • Time and space complexity: O(n) time and O(n) space for both compression and decompression.
  • Trade-offs: variable-length counts improve compression for long runs but require parsing; fixed-width counts are simpler but limited.
  • Validation: decompression should handle invalid input gracefully (e.g., missing character after count).

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.

Q2

Describe the time and space complexity of your RLE compression and decompression implementations.

Algorithms & Data Structures
Author's notes

Said O(n) for both without much explanation and they pushed back a little, asking me to be more precise about what n means in each case and what the space usage looks like relative to input vs output size.

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AI HintsAI Generated

Suggested Approach

Start by clearly defining the input and output formats for both compression and decompression, then derive time and space complexity by analyzing the number of operations relative to input size. For compression, focus on the linear scan and output construction; for decompression, focus on parsing counts and expanding characters. Mention best, average, and worst cases, especially for compression where output size depends on data compressibility.

Pro tip: Explicitly state that compression time is O(n) where n is the input length, but space is O(m) where m is the compressed output size, which can be up to 2n in the worst case (e.g., alternating characters). This shows you understand the nuance beyond just saying O(n) space.

1. Define Input and Output

Clarify that compression takes a string of length n and produces a compressed string of length m, while decompression takes a compressed string of length m and produces a string of length n. This sets the stage for complexity analysis.

2. Analyze Compression Time

Explain that compression requires a single pass through the input, comparing each character with the previous one and appending counts to the output. Thus, time complexity is O(n).

3. Analyze Compression Space

Discuss that the output string can be up to 2n in the worst case (e.g., 'abc' -> 'a1b1c1'), so space complexity is O(m) or O(n) in the worst case. Mention that if using a list of characters and joining, auxiliary space is O(m).

4. Analyze Decompression Time and Space

For decompression, parsing the compressed string takes O(m) time, and building the output takes O(n) time, so overall time is O(m + n). Space is O(n) for the output string, plus O(m) for the input, so O(n + m).

5. Summarize and Discuss Trade-offs

Conclude with a summary table or statement of complexities, and note that RLE is efficient for data with many consecutive repeats but can expand data in the worst case. Mention potential optimizations like using a StringBuilder to avoid O(n^2) string concatenation.

Key Points to Mention

  • Time complexity of compression is O(n) due to single pass.
  • Space complexity of compression is O(m) where m is compressed length, worst-case O(n).
  • Decompression time is O(m + n) because you parse m characters and output n characters.
  • Decompression space is O(n) for output plus O(m) for input, so O(n + m).
  • Worst-case expansion: alternating characters lead to compressed size ~2n.
  • Use of StringBuilder or list to avoid quadratic string concatenation.

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.

Q3

Implement bit-packing compression for an array of integers in the range 0 to 15, packing two 4-bit values into each byte, with the first value in the high bits and the second in the low bits. Handle odd-length arrays by zero-padding the last byte.

Algorithms & Data StructuresTechnical Trade-offs
Author's notes

This part was actually fun.

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AI HintsAI Generated

Suggested Approach

Clarify the exact bit layout and edge cases, then present a clean implementation using bitwise operations. Discuss trade-offs like memory savings versus access speed, and mention potential optimizations or alternative approaches.

Pro tip: Demonstrate awareness of endianness and sign issues by explicitly stating that you treat values as unsigned 4-bit integers and that the packing order is independent of machine endianness. Also, mention that you would write unit tests for edge cases like empty array, single element, and maximum values.

1. Clarify requirements and constraints

Confirm the value range (0-15), packing order (first value high nibble, second low nibble), and handling of odd-length arrays (zero-pad last byte). Ask about expected input size and performance requirements.

2. Design the packing algorithm

Iterate through the array in steps of two. For each pair, combine the first value shifted left by 4 bits with the second value. If only one value remains, pack it in the high nibble and set the low nibble to zero.

3. Implement with bitwise operations

Use bitwise OR and left shift to combine values. Ensure masking with 0x0F to prevent overflow if values exceed 4 bits. Write clear, commented code.

4. Handle edge cases and validate

Test with empty array, single element, even and odd lengths, and boundary values (0 and 15). Verify that unpacking returns the original array (with possible trailing zero if odd length).

5. Discuss trade-offs and optimizations

Compare memory savings (4x reduction) versus access overhead. Mention alternative approaches like using a bit vector or SIMD for large arrays. Consider if random access is needed and how to implement it.

Key Points to Mention

  • Bitwise operations: left shift (<<), bitwise OR (|), and bitwise AND (&) for masking.
  • Memory efficiency: packing reduces storage by 4x compared to storing each integer in a byte.
  • Edge cases: empty array, odd length, values at boundaries (0 and 15).
  • Endianness: packing order is defined by bit significance, not machine endianness.
  • Trade-offs: compression saves memory but may increase CPU overhead for packing/unpacking.
  • Testing: unit tests for correctness and performance benchmarks for large arrays.

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.

Q4

Implement the inverse bit-packing function that reconstructs the original integer array from a packed byte array, given the original length n.

Algorithms & Data Structures
Author's notes

Straightforward once you've written the compression side.

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AI HintsAI Generated

Suggested Approach

First clarify the bit-packing scheme (e.g., fixed-width packing, bit order, endianness) and handle edge cases like n=0 or invalid input. Then implement a bit-by-bit or chunk-based extraction using bitwise operations, ensuring correct handling of partial bytes and sign extension if needed. Validate with small examples and discuss time/space complexity.

Pro tip: Mention that you would use a 64-bit buffer to accumulate bits and extract values in chunks, which reduces the number of bitwise operations and improves performance. Also, proactively discuss how you would handle signed integers and potential overflow.

1. Clarify the packing format

Ask about the bit width per value, bit order (MSB-first or LSB-first), and whether values are signed or unsigned. Confirm the expected output format and edge cases.

2. Design the extraction algorithm

Decide on a bit-by-bit or chunk-based approach. For efficiency, use a buffer to accumulate bits and extract multiple values at once.

3. Implement with bitwise operations

Write code that reads bits from the packed array, reconstructs each integer, and handles partial bytes at the end. Use masks and shifts appropriately.

4. Handle edge cases and validation

Test with n=0, n not a multiple of values per byte, and maximum values. Ensure no out-of-bounds access and correct sign extension if needed.

5. Analyze complexity and optimize

Discuss time complexity O(n * bits_per_value / word_size) and space complexity O(n). Suggest optimizations like using larger buffers or SIMD if applicable.

Key Points to Mention

  • Bitwise operations: shifts, masks, and OR/AND to extract bits.
  • Endianness and bit order (MSB vs LSB) and how they affect extraction.
  • Handling signed integers: sign extension when the bit width is less than the integer type.
  • Edge cases: n=0, n not a multiple of values per byte, and invalid packed array length.
  • Time and space complexity analysis.
  • Potential optimizations: using a 64-bit buffer, processing multiple values per iteration, or using lookup tables.

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.