如何遊玩 XV 數獨

單元格之間的X表示它們的和為10;V表示它們的和為5

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規則

適用標準數獨規則: 填滿每一行、列和3×3宮,數字1–9各出現一次。

XV Sudoku(也稱為Ten-Five Sudoku)在相鄰單元格之間放置X和V標記。X表示兩個單元格的和為10;V表示它們的和為5。許多XV謎題使用負約束:缺少標記保證該對既不等於10也不等於5。結合標準數獨,這在整個網格中提供了非常緊密的約束。

如需了解此謎題的來源、與相關變體的比較及策略摘要,請參閱我們的 XV 數獨變體概述.

一覽

18–24
典型給定數
儲存格關係
約束類型
約 8分
簡單解題時間
約 18分
中等解題時間

如何解 XV 數獨

初學者
Negative Constraint
Where no X or V appears between adjacent cells, their sum is neither 10 nor 5. This eliminates (1,9), (2,8), (3,7), (4,6) for X and (1,4), (2,3) for V.
初學者
Sum Pair Enumeration
List all digit pairs that sum to 10 (for X) or 5 (for V), then use row/column placement to identify which pair must occupy each marked pair.
中級
Marker Chain Logic
Multiple consecutive X and V markers in a row form a sum chain — enumerate valid assignments for the entire chain simultaneously.
進階
Box X-Interaction
An X pair forces both digits into specific positions within their shared box, constraining all remaining cells of that box.
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常見問題

什麼是 XV Sudoku? ▾

XV Sudoku is a variant where X and V symbols appear between adjacent cells. An X marks two cells that sum to 10. A V marks two cells that sum to 5. Standard Sudoku rules apply, and — critically — all X and V relationships are fully marked: if there is no symbol between two adjacent cells, those cells are guaranteed not to sum to either 10 or 5.

What pairs sum to 10 (X)? ▾

The valid X pairs are: 1&9, 2&8, 3&7, 4&6. Note that 5&5 sums to 10 but standard Sudoku uniqueness rules prevent two 5s from being adjacent in most cases. The X constraint immediately limits each marked cell to a small set of candidates.

What pairs sum to 5 (V)? ▾

The valid V pairs are: 1&4, 2&3. Only four digits can ever appear in a V cell: 1, 2, 3, or 4. This makes V markers particularly powerful for restricting candidates in the lower half of the digit range.

How does the no-symbol constraint work? ▾

All X and V relationships are shown — if two adjacent cells have no symbol, their sum is guaranteed to be neither 5 nor 10. This negative constraint eliminates candidate pairs from unmarked cell boundaries and is often as useful as the explicit symbols.

Is XV Sudoku hard to learn? ▾

The rules are simple to memorise. The challenge is applying both the positive (X, V) and negative (no symbol) constraints simultaneously across the entire grid. Easy puzzles are very accessible; expert puzzles require exhaustive tracking of all adjacent-cell relationships.

How long does XV Sudoku take to solve? ▾

Easy puzzles take 8–15 minutes. Medium puzzles run 15–30 minutes. Hard puzzles average 30–60 minutes and expert puzzles often exceed 90 minutes. The no-symbol negative constraint is the most time-consuming to apply systematically across a densely marked grid.

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