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House Robber: the pick-or-skip 1D DP.

House Robber is the cleanest choose-with-a-constraint 1D DP, and it collapses to O(1) space. The signal is the take-this-or-skip recurrence and the two-variable rolling optimization.

Updated Aug 2026 · Grounded in real Applied AI Engineer interview loops and written to a senior-engineer editorial bar.

House Robber is the cleanest choose-with-a-constraint 1D DP, and it collapses to O(1) space. The signal is the take-this-or-skip recurrence and the two-variable rolling optimization.

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