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Auto-solve daily LeetCode problem using GPT-5-mini
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problems/1886/gpt5-mini.md

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# [Problem 1886: Determine Whether Matrix Can Be Obtained By Rotation](https://leetcode.com/problems/determine-whether-matrix-can-be-obtained-by-rotation/description/?envType=daily-question)
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## Initial thoughts (stream-of-consciousness)
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I need to check whether rotating mat by 0, 90, 180, or 270 degrees (clockwise) can make it equal to target. Since n is at most 10, a brute-force approach that explicitly rotates and compares is fine. Rotating a matrix 90° clockwise can be done by mapping position (i, j) -> (j, n-1-i), or by transposing and then reversing each row. I'll just build a new rotated matrix each time and compare to target; if any match, return True. Watch for the case where mat is already equal to target (0 rotations). Complexity will be small (O(n^2) per rotation).
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## Refining the problem, round 2 thoughts
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Refinements / alternatives:
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- We can rotate in-place (transpose + reverse rows) to avoid extra space, but building a new matrix is simpler and straightforward given the small constraints.
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- Edge case: n = 1 -> just compare single elements.
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- Stop early as soon as a rotation matches target.
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- Time complexity: up to 4 * O(n^2) comparisons/constructs. Space complexity: O(n^2) extra for a single rotated matrix (or O(1) extra if done in-place).
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- Use Python list equality for matrix comparison (works for nested lists).
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## Attempted solution(s)
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```python
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class Solution:
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def findRotation(self, mat: list[list[int]], target: list[list[int]]) -> bool:
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n = len(mat)
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def rotate90(matrix):
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# Return new matrix rotated 90 degrees clockwise
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return [[matrix[n - 1 - j][i] for j in range(n)] for i in range(n)]
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current = mat
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for _ in range(4):
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if current == target:
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return True
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current = rotate90(current)
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return False
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```
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- Approach: try up to 4 rotations (including 0 rotations), building a new matrix for each 90° clockwise rotation using index mapping (i, j) <- (n-1-j, i). Compare with target using list equality; return True if any match.
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- Time complexity: O(4 * n^2) = O(n^2) since constants drop. Each rotation and comparison is O(n^2).
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- Space complexity: O(n^2) for the temporary rotated matrix each iteration (can be reduced to O(1) with in-place rotation).
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- Implementation details: function is implemented as LeetCode expects within class Solution and uses Python list comprehensions for clarity.

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