隐性唯一Hidden Singles

来源:本站 作者:Halcyon 发布时间:2023-03-18 14:35:23

隐性唯一 Hidden Singles

 

定义1 宫内隐性唯一 Hidden Singles in Box

如果某个宫内,某个数字只能填在一个单元格内,这里就是宫内隐性唯一。绝大多数题目中的绝大多数步骤都是宫内隐性唯一,这个技巧是基本功里的基础。

If a number can only be in one cell in a Box, that's a Hidden Single in that Box. Hidden Single in Box is the most common step in most common puzzles, it's the basic of the basic.

 

单次排除 Eliminate for once

有的时候,我们只需要画出一条排除线。

Sometimes we just need only one eliminate line.

 

多次排除 Eliminate for several times

在更多的情况下,我们需要更多的步骤,也有时会有干扰数字。

In most situation, we need more than once step. Sometimes, there may be interference numbers.

 

定义2 行列隐性唯一 Hidden Singles in Row/Column

如果某个行列内,某个数字只能填在一个单元格内,这里就是行列隐性唯一。这种隐性唯一会比宫内的更为隐蔽。

If a number can only be in one cell in a Row/Column, that's a Hidden Single in that Row/Column. Hidden Singles in Row/Column will be more covert. 

 

定义3 基本功 Basic Techniques

显性唯一和隐性唯一统称基本功,其余的所有技巧都算是辅助技巧。如果我们想要获取下一步的具体数字,我们必须寻找显性或隐性唯一。

Naked Singles and Hidden Singles form Basic Techniques. All other techniques are auxiliary means. If we want to get a next sure number, we must find Naked or Hidden Singles.

 

定义4 最后一数Last Digit

在N阶数独内,每个数字出现N次。如果一个数字出现了N-1次,我们找到最后一个的步骤就是最后一数。

In a NxN sudoku, each number will appear N times. If a number appear N-1 time, and we find the last one, that's a Last Digit. 

如果我们寻找到数字A,我们应当去寻找尽可能多的A。在绝大多数情况下我们只能找到一部分。

If we find number A, we should try to find as much A as we can. In most cases we may find just some of them.

In this example, we can sure most of the 1s, but there are 1 x2 we cannot make sure.

 

定义5 一刀流 One by One

有一种特殊的标准数独叫做一刀流。如同它的名字,你应当按1~9的顺序去完成它,先做完所有1,接着2,3......最后到9。

There're a special kind classic sudoku for training, they are called 一刀流(One by One). As it's name, you should do it from 1~9, find all 1, all 2, all3...... and all 9 last.

你可以在下面的网址完成它:

You can do it in http://www.sudokufans.org.cn/

这里有两种一刀流,一种可以仅使用宫内隐性唯一完成,另一种需要行列隐性唯一。

There're 2 kinds of 一刀流, one of them can be solved only by only Hidden Singles in Boxes. To solve another one, you must need to search for Hidden Singles in Rows/Columns.

 

练习 Practice

① 九阶标准数独中,我们如何检查是否找到了所有的5?

In a 9x9 puzzle, how to check have we finished all about number 5?

② 如果需要找到宫内隐性唯一,在4/6/9阶数独中,我们需要多少个已经确定的数字?

If we want to get a Hidden Single in Box, how many known numbers need in 4x4/6x6/9x9 Sudoku?

 

答案 Answer

① 数一下是不是有9个5。Count if there are 5 x9 in the grid. ② 2/3/4.