378. Missax | Plus | SERIES |

The MSS problem has a long history:

| Year | Publication / Context | Main Contribution | |------|------------------------|-------------------| | 1975 | J. Kadane, A linear time maximum subarray algorithm | First linear‑time DP solution | | 1984 | Cormen et al., Introduction to Algorithms | Formal presentation of Kadane’s algorithm | | 1990 | Bentley, Programming Pearls | Variants handling circular arrays | | 2005 | Li & Zhu, Maximum Subarray with Constraints | Extensions to bounded length | | 2012 | Kim et al., GPU‑accelerated MSS | Parallel implementations for massive data |

The classic solution (Kadane’s algorithm) works in a single pass, maintaining the best subarray ending at the current position. Numerous extensions exist (e.g., 2‑D MSS, circular MSS, MSS with deletions), but the 1‑D version remains a textbook example of dynamic programming. 378. Missax

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If a white rook were on b1, the white king could have castled queenside (O-O-O). But the queen’s side rook on a1 is still on its original square; a rook on b1 would block the path (K e1 → c1). Moreover, white already has a rook on h1, so a third rook would make the material count impossible (white would have 3 rooks while black only 1). So b1 is ruled out. The MSS problem has a long history: |

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