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Word Break: can a string be segmented into dictionary words?

Word Break is the classic 1D string DP that trips people who reach for greedy or naive recursion. The signal is the dp[i] = 'is the prefix of length i segmentable' recurrence, plus why a locally valid split can doom the rest. Here is the answer.

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

Word Break is the classic 1D string DP that trips people who reach for greedy or naive recursion. The signal is the dp[i] = 'is the prefix of length i segmentable' recurrence, plus why a locally valid split can doom the rest. Here is the answer.

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