Software Development Engineer, S3 Replication

Amazon

There is a robot on an m x n grid. The robot is initially located at the top-left corner (i.e., grid0). The robot tries to move to the bottom-right corner (i.e., gridm - 1). The robot can only move either down or right at any point in time. Given the two integers m and n, return the number of possible unique paths that the robot can take to reach the bottom-right corner. The test cases are generated so that the answer will be less than or equal to 2 * 109. For example, if m = 3 and n = 7, the expected output is 28. Explain your approach, provide code, and analyze the time and space complexity. Also discuss edge cases and alternative solutions using combinatorics.

Amazon

Design a Chess Board using Object-Oriented principles. Consider the classes, their attributes, and methods. Focus on the core components like the board, pieces, and interactions between them. For example, how would you represent the different chess pieces (pawn, rook, knight, etc.) and their unique movement rules? How would you handle the logic for checking if a move is valid, including considering piece-specific constraints and checking for checkmate or stalemate scenarios? Illustrate with code snippets to showcase how these objects would interact. How will you handle special moves like castling and en passant? How would you keep track of the game state and handle turn management?

Amazon

Tell me about a time you ran into a conflict with a project. How did you handle it?