困難對角線數獨

兩條主對角線也必須包含1–9且不重複。四個單元而非三個——約束密度加倍。

困難 對角線數獨。對角線 X-Wings,多重限制宮交集,以及深度刪除鏈——鉛筆標記是必要的。

9
5
3
7
6
5
3
4
7
9
6
3
4
7
1
7
5
4
2
9
4
1
6
2
6
9
5
錯誤
0/3
分數
-
時間
00:00
嘗試專家對角線數獨 →
進度0%

什麼是 對角線數獨?

難度
★★☆☆☆
2/5
約束類型
額外區域
典型給定數
22–28
平均解題時間(困難)
20分鐘

解題技巧:困難 等級

技巧 描述 等級
Diagonal as a Unit Treat each diagonal exactly like a row or column — every digit 1–9 appears exactly once. Standard scanning and counting apply. 初學者
Diagonal–Box Interaction When a digit on a diagonal is confined to one box segment, eliminate it from the rest of that box. 中級
Diagonal Naked Pairs If two cells on a diagonal share the same two candidates, eliminate those values from all other diagonal cells. 中級
Three-Unit Intersection A cell on the main diagonal also belongs to a row, column, and box — four constraint units simultaneously — maximising elimination power. 進階

準備好終極測試了嗎?試試 專家 對角線數獨 — 數獨 上最難的謎題。

在 困難 需要掌握的技巧

  • Hidden Pairs technique — With four houses squeezing every diagonal cell, two digits frequently get cornered into the same two cells of a diagonal — check both diagonals for hidden pairs first.
  • X-Wing 技巧 — An X-Wing whose corner lands on a main diagonal also strips that digit from the rest of the diagonal, turning a two-column elimination into a three-house sweep.

依難度平均解題時間

簡單
4分鐘
中等
10分鐘
困難
20分鐘
專家
40分鐘
想要規則、策略和解題步驟的完整演練嗎? 如何遊玩 對角線數獨 →

相關變體

不規則對角線數獨

Keeps both diagonal houses you've learned to scan and adds jigsaw regions for an even denser constraint web.

Hyper數獨

The same extra-region idea — four shaded windows instead of two diagonals — so your habit of scanning bonus houses transfers directly.

拼圖數獨

If you enjoy adapting your scan to new house shapes, jigsaw regions stretch that skill further than straight diagonal lines.

常見問題 — 困難 對角線數獨

困難的對角線數獨為何困難?
困難謎題有更少的給定數字,需要將對角消除與宮、行和列技巧鏈接起來。你需要在對角線內應用隱藏對和三元組,並利用對角線與宮約束的交集進行多步推論。
在困難級對角線數獨中,對角線X翼是如何運作的?
A diagonal X-Wing occurs when a digit appears in only two positions on each of two rows (or columns), and those positions both lie on the same diagonal. The diagonal constraint then eliminates that digit from all other cells on the diagonal, often cracking a previously stuck position.
我應該在困難的 Diagonal Sudoku 中使用鉛筆標記嗎?
絕對是。困難的謎題需要同時跨行、列、宮和兩條對角線追蹤候選數。如果沒有鉛筆標記,五向約束交互太複雜而無法記住。
困難的 Diagonal Sudoku 最棘手的方面是什麼?
最難的推導涉及位於對角線且同時在兩個宮交匯處的單元格。這些單元格同時承載來自最多五個組的約束(行、列、兩個宮、對角線),識別強制放置需要同時考慮所有五個。
一個困難的對角線數獨需要多長時間?
預計25–50分鐘。如果卡住,專注於中心宮——兩條對角線都穿過它,使其成為棋盤上限制最多的宮,通常是下一個突破的關鍵。

還有問題?請參閱完整 對角線數獨指南.