匹诺曹数独 Pinocchio

标准数独基础上，灰色数字中有且只有一个是错误的。

Classic rules applied. Additionally, one of the grey number is wrong, just one.

◆有时我们能直接找到错误的数字，例如四阶数独里的5。

Sometimes we can find the wrong number directly, such like number 5 in 4x4 grid.

◆锁定错误数字的范围 Lock the wrong number in several cells

M个灰色数字里有k个不能同时为真，则其余M-k个数字均为真。

In M grey numbers, k of them cannot be all true, the other numbers must be all true.

练习 Practice A

① 图1中哪个数字是错误的？

Which number is wrong in Practice-1?

② 小明设计了一个匹诺曹，其中所有的灰色数字如图2所示，他能否设计一道合格的题目？

John designed a Pinocchio, with all grey numbers like practice-2. Did he create a solvable puzzle?

Practice1 and Practice 2

③ 找出图3中的错误数字 Find the wrong number in Practice-3. 

Practice-3

答案 Answer A

① 2 ② No, no answers. ③ 5 in E5; 3 in F2.

练习 Practice B

① 寻找下一步（所有灰色数字已给出）。

Find the next hint (all the grey numbers are given).

答案 Answer B

① 必定有一个3是正确的，所以I9≠3, I9=14。

One of the 3 must be correct, so I9≠3, I9=14.

② XYwing删除了E9和F9的4，第六宫有4的隐性唯一。

XYwing delete 4 from E9 and F9, Hidden Singles of 4 in F8 in Box 6.