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Amazon·Software Engineer·Onsite - Coding / Algorithms·Intermediate

IntermediatePrefer not to say
Jun 2026

Summary

Amazon SWE coding round, one problem the whole time: rotate a matrix in-place. Felt straightforward on the surface but the in-place constraint is where people slip up.

Questions Asked (1)

Q1

Given an N×N matrix, rotate it 90 degrees clockwise in-place using as close to O(1) extra space as possible.

Algorithms & Data Structures
Author's notes

The example they give you basically hands you the answer if you stare at it long enough.

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AI HintsAI Generated

Suggested Approach

Clarify the problem constraints and confirm in-place rotation with O(1) extra space. Explain the two-step approach: first transpose the matrix (swap elements across the main diagonal), then reverse each row. This achieves the 90-degree clockwise rotation with constant extra space.

Pro tip: Mention that the rotation can also be done by reversing rows first then transposing, or by rotating in cycles of four elements; showing multiple valid approaches demonstrates depth. Also, discuss edge cases like 1x1 matrix and empty input.

1. Clarify requirements

Confirm that the matrix is N×N, rotation is 90 degrees clockwise, and it must be done in-place with O(1) extra space. Ask about input constraints and expected output.

2. Choose approach

Select the transpose-then-reverse method: transpose the matrix by swapping matrix[i][j] with matrix[j][i] for i < j, then reverse each row.

3. Implement transpose

Iterate over the upper triangle (i from 0 to n-1, j from i+1 to n-1) and swap elements to transpose the matrix.

4. Reverse rows

For each row, swap elements from the ends moving inward to reverse the row, completing the clockwise rotation.

5. Analyze complexity

State that time complexity is O(N^2) as each element is visited constant times, and space complexity is O(1) since only a few variables are used.

Key Points to Mention

  • In-place rotation with O(1) extra space
  • Transpose operation: swapping matrix[i][j] with matrix[j][i]
  • Reversing each row after transpose
  • Time complexity O(N^2) and space complexity O(1)
  • Edge cases: 1x1 matrix, empty matrix
  • Alternative approach: rotating in cycles of four elements

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