困難數卡

一種無數字變體 — 只給出鉛筆標記,而非最終答案。從候選數集合而非已填入數字來解題。

困難 Sukaku。需要鎖定候選數和多步驟刪除鏈——密集的棋盤,沒有捷徑。

2
7
8
6
9
3
4
5
1
4
1
9
2
5
7
8
3
6
6
5
3
1
8
4
2
9
7
8
3
5
9
4
1
6
7
2
9
4
7
5
6
2
3
1
8
1
6
2
3
7
8
5
4
9
3
2
4
8
1
9
7
6
5
7
9
6
4
2
5
1
8
3
5
8
1
7
3
6
9
2
4
錯誤
0/3
分數
-
時間
00:00
點擊數字以從選取的儲存格中排除
嘗試專家 Sukaku →
進度0%

什麼是 Sukaku?

難度
★★★☆☆
3/5
約束類型
Pencilmark Elimination
典型給定數
All candidates shown
平均解題時間(困難)
35分鐘

解題技巧:困難 等級

技巧 描述 等級
Candidate Scanning Start by scanning rows, columns, and boxes — any candidate appearing in only one cell in a group must be placed there. 初學者
Cross-Hatch Elimination When a digit is placed (or reduced to one candidate), eliminate it from all cells in the same row, column, and box. 初學者
裸單 A cell with only one remaining candidate is a naked single — the digit is forced. In Sukaku, this happens automatically when you eliminate down to one candidate. 中級
隱藏單一 A candidate that appears exactly once in a row, column, or box must be placed in that cell regardless of how many other candidates that cell shows. 中級
Pair Elimination Two cells in a group that share only the same two candidates form a naked pair — both candidates can be eliminated from all other cells in that group. 進階

準備好終極測試了嗎?試試 專家 Sukaku — 數獨 上最難的謎題。

在 困難 需要掌握的技巧

  • Hidden Pairs technique — Hard sukaku starts with deliberately bloated candidate lists — hidden pairs are the tool that cuts through, stripping the excess from exactly two cells per unit.
  • X-Wing 技巧 — Because every candidate is visible, X-Wing rectangles can be spotted by pure pattern-reading — scan each digit's printed positions row by row for the two-and-two shape.

依難度平均解題時間

簡單
8分鐘
中等
18分鐘
困難
35分鐘
專家
62分鐘
想要規則、策略和解題步驟的完整演練嗎? 如何遊玩 Sukaku →

相關變體

殺手數獨

Another puzzle that opens with zero placed digits — cage sums replace pencilmarks as your only raw material.

拼圖數獨

Sharpens the same candidate-tracking discipline sukaku trains, with region shapes that twist your eliminations.

對角線數獨

Adds two more houses to feed your elimination engine — ideal for solvers who enjoy sukaku's systematic pruning.

常見問題 — 困難 Sukaku

困難的 Sukaku 謎題需要哪些高級技巧?
困難的 Sukaku 謎題需要鎖定候選數(一個數字被限制在一個宮內的一行或一列,讓你可以從該行或列的其餘部分消除它)、裸三元組和隱藏三元組,有時還需要X-Wings。你必須同時追蹤多個單元的候選數,而不是一次處理一個格子。
在 Sukaku 中,什麼是 locked candidate?
A locked candidate occurs when a particular digit can only appear in cells that are simultaneously in one box and one row (or one box and one column). Because that digit must go somewhere in the box, and all valid positions share the same row or column, you can safely eliminate that digit from every other cell in that row or column outside the box.
在hard Sukaku中,naked pairs and triples有多重要?
極其重要。一個naked pair是同一個單元中的兩個單元格,它們一起恰好包含兩個不同的候選數。這兩個數字必須佔據這兩個單元格,因此您可以將它們從該單元的所有其他單元格中移除。Naked triples將此擴展到三個單元格和三個數字。錯過這些模式是解題者在困難謎題上卡住的主要原因。
一個困難的數和數獨解題需要多長時間?
大多數玩家在困難 Sukaku 上花費 25 到 45 分鐘。如果你對 naked pairs 和 locked candidates 感到熟悉,你可能會更快完成。消除鏈比中等更長,一個單一的推導通常需要檢查四五個單元才能變得可見。
在困難的 Sukaku 中,掃描單元格的最佳順序是什麼?
從總剩餘候選數字最少的單元開始。一個大多數單元格已經解出的宮格或行是鎖定候選數字和隱藏單一推論的最豐富來源。從那些受限制的區域向外工作,而不是隨機掃描整個棋盤。

還有問題?請參閱完整 Sukaku 指南.