I went straight to binary search on the integer part and then iterated tenths, which worked but I fumbled when they asked about convergence and whether I could do better.
Start by clarifying the problem constraints (e.g., precision, input range) and then propose an iterative method like Newton's method or binary search. Explain the algorithm step-by-step, analyze its convergence and complexity, and discuss potential edge cases and trade-offs.
Pro tip: Mention that you would validate the result by squaring and rounding, and discuss how to handle very large or very small numbers to avoid overflow or underflow.
Ask about input range, required precision, and whether the function should handle edge cases like zero or very large numbers.
Select an iterative method such as Newton's method or binary search, and justify your choice based on convergence speed and simplicity.
Describe the steps of the chosen method, including initialization, iteration formula, and stopping criterion.
Discuss time and space complexity, convergence rate, and compare alternatives (e.g., Newton vs. binary search) in terms of accuracy and efficiency.
Explain how to round to one decimal place, handle zero, and avoid numerical issues like division by zero or overflow.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.