Took me a minute to realize you should always try to place the bucket to the right of a house first, not the left.
Use a greedy algorithm that scans the string from left to right. When you encounter a house that is not yet covered, place a bucket in the rightmost available empty spot that covers it (either the house's right neighbor if empty, otherwise its left neighbor). If no such spot exists, return -1.
Pro tip: After placing a bucket, mark all houses it covers as covered to avoid redundant placements. Also, handle edge cases like houses at the ends of the string and consecutive houses carefully.
Clarify that each bucket covers adjacent houses (left and right). The goal is to minimize buckets while ensuring every house is covered.
Scan left to right. For each uncovered house, place a bucket as far right as possible to maximize coverage of future houses.
For an uncovered house at index i, check if i+1 is empty; if so, place bucket there. Else, check if i-1 is empty; if so, place bucket there. If neither, return -1.
After placing a bucket, mark the house and its adjacent houses (if any) as covered to avoid redundant checks.
After scanning, return the total bucket count. If any house remains uncovered, return -1.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.