Validate grid sorted
Last updated: July 26, 2025
Quick Overview
Given a 2D grid of integers, write a function to determine if each row and each column of the grid is sorted in non-decreasing order. The function should return a boolean value: true if the grid is sorted, and false otherwise. The input will be a 2D array, and the output will be a single boolean value.
Databricks
July 26, 202530
14
2,392 solved
Given a 2D grid of integers, write a function to determine if each row and each column of the grid is sorted in non-decreasing order. The function should return a boolean value: true if the grid is sorted, and false otherwise. The input will be a 2D array, and the output will be a single boolean value.
Coding interviews at Databricks focus on problem-solving approach as much as the final solution. The interviewer wants to see you break down the problem, consider edge cases, and optimize iteratively. Communication throughout the process is key.
What the Interviewer Expects
- Quickly identify the optimal approach and its theoretical basis
- Handle complex algorithm design with multiple interacting components
- Write concise, elegant code under time pressure
- Prove correctness of your approach and discuss alternative solutions
- Optimize beyond the obvious: discuss constant factor improvements
- Address follow-up variations and explain how the solution generalizes
Key Topics to Cover
How to Approach This
- Clarify input constraints and edge cases before writing code.
- Walk through your approach verbally and confirm with the interviewer before coding.
- Start with a brute force solution, then optimize. Mention time and space complexity.
- Test your solution with examples, including edge cases like empty input or duplicates.
- Consider common patterns: sliding window, two pointers, hash map, BFS/DFS, dynamic programming.
Possible Follow-up Questions
- How would you parallelize this solution?
- How would you modify your solution to handle streaming input?
- Can you optimize the space complexity of your solution?
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Problem Analysis
To determine if each row and each column of the grid is sorted in non-decreasing order, we can utilize a straightforward approach that involves checking pairs of adjacent elements in both rows and col...
Approach
- Iterate through each row of the grid. For each row, check if it is sorted:
- For a row
i, verify thatgrid[i][j] <= grid[i][j+1]for all valid j.
- For a row
- Iterate through each column of the gri...
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