unique rectangle type 1~4没什么疑问,不过hidden unique rectangle 的删除有些疑惑,如何确定哪个是候选数a,哪个是候选数b的呢

有些技巧似乎国内的那个论坛上也并没有提到,国外那位大神总结的真是全。

Generalising X-Wing

X-Wing is not restricted to rows and columns. We can also extend the idea to boxes as well. If we generalise the rule above we get:

When there are * only 2 candidates for a value, in each of 2 different units of the same kind, * and these candidates lie also on 2 other units of the same kind,

then all other candidates for that value can be eliminated from the latter two units.

Now we have 6 combinations:

  • Starting from 2 rows and eliminating in 2 columns -> Classic X-Wing
  • Starting from 2 columns and eliminating in 2 rows -> Classic X-Wing
  • Starting from 2 boxes and eliminating in 2 rows -> Same effect as line/box reduction
  • Starting from 2 boxes and eliminating in 2 columns -> Same effect as line/box reduction
  • Starting from 2 rows and eliminating in 2 boxes -> Same effect as pointing pairs
  • Starting from 2 columns and eliminating in 2 boxes -> Same effect as pointing pairs

参考资料:

  1. SudokuWiki