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Took me a while to get all the cases sorted out.
First, clarify the problem constraints and edge cases, then outline a greedy line-packing algorithm that builds lines word by word. For each line except the last, compute the number of spaces needed and distribute them as evenly as possible, giving extra spaces to the leftmost gaps. Finally, handle the last line separately by left-justifying and padding with trailing spaces.
Pro tip: Mention that you would test with edge cases like a single word per line, a word longer than maxWidth (if allowed), and lines that exactly fit without extra spaces. This shows attention to detail and robustness.
Ask about constraints: Can words exceed maxWidth? Should we assume at least one word per line? How to handle empty input? Confirm that spaces are distributed with left gaps getting more when uneven.
Iterate through words, adding as many as possible to the current line without exceeding maxWidth (considering at least one space between words). Once the next word doesn't fit, finalize the line.
For each line except the last, calculate total spaces needed = maxWidth - sum of word lengths. Distribute spaces evenly among gaps: base spaces = totalSpaces / (numWords - 1), remainder = totalSpaces % (numWords - 1). Add one extra space to the first 'remainder' gaps.
For the last line, left-justify words with a single space between them and pad with trailing spaces to maxWidth. For a line with only one word (non-last), left-justify and pad with spaces to maxWidth.
Discuss time complexity O(n) where n is total characters, and space O(maxWidth) per line. Mention alternative approaches like dynamic programming for optimal line breaking (if cost function considered), but note greedy is standard for this problem.
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