《数独星空》小数点:初学者容易犯的 3 个数独错误
五一八互娱
2021年09月17日 18:11
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不要因为错误而逃避。数独可以是一个长达数小时的有趣和有益的享受。重要的是要学会如何克服最常见的数独初学者错误,这样你就可以自信地前进,并继续热爱数独,喜爱数独。

以下是初学者最常见的数独错误:

Don’t get frustrated. Sudoku can be a fun and rewarding pastime for many hours of enjoyment. It’s important to learn how to get past the most common Sudoku beginner mistakes so you can move forward confidently and keep playing Sudoku for many years to come.

Here are a few of the most common Sudoku mistakes for beginners:

错过"容易获得的果实&#​34;

数独是一个抓机会的游戏。玩家需要不断的审视题目并抓住将数字放入空位的机会。不幸的是,即使是最简单的机会就在他们面前初学者数独玩家也往往不知道如何识别。

Missing “low hanging fruit”

Sudoku is a game of recognizing opportunities. Players need to constantly scan the grid and spot chances to place a number into an empty space. Unfortunately, beginner Sudoku players often do not know how to recognize even the easiest opportunities that are right in front of them.

例如,在此处显示的网格中,有一个垂直列(左侧的第 4 列,以橙色勾勒)已放置 9 个数字中的 8 个。我们知道这里只剩下一个数字了。对于一个已经开始玩数独的数独玩家来说,这是一个非常好且简单的机会,可以将对应的数字放在网格上,但许多首次进行数独游戏的玩家可能没有意识到这一点,他们可能会花时间凝视网格的其他区域。所以新手数独玩家需要知道:从寻找这样的"好取得的果实&#​34;开始。查找已经有很多数字的行、列和宫。这将使您更容易放置数字和解决难题。

For example, in the grid shown here, there is a vertical column (the 4th column from left, outlined in orange) that has 8 out of 9 numbers already placed. We know that there is only one number left to place here. This is an easy opportunity for a beginning Sudoku player to place a number on the grid – but many first-time Sudoku players might not realize it and might spend time gazing at other areas of the grid instead. So Sudoku players need to know: start by looking for “low-hanging fruit” like this. Look for rows, columns and Squares that already have a lot of numbers in place. This will make it easier for you to place numbers and solve the puzzle.

忽略宫

数独是在同一行、列或方形的空位中放置数字 1-9 的游戏,但是,许多开始数独玩家犯了一个错误,只关注行(水平)或列(垂直)。也许数独初学者在行或列中放置数字 1-9 时更容易找到可以填进去的空格?

不管是什么原因,许多数独初学者都犯了一个错误,因为他们没有花足够的时间看宫。宫(网格上有 9 个宫,每个宫包含 9 个空间)是寻找放置数字机会的好地方,因为每个宫都由其他行和列组成。只要查看构成该宫的附近行和列,即可获得大量有关哪些数字可以消除或放置在宫内的信息。

Ignoring Squares

Sudoku is a game of placing numbers 1-9 in empty spaces within the same row, column or Square – however, many beginning Sudoku players make the mistake of only focusing on rows (horizontal) or columns (vertical). Maybe it’s easier for Sudoku beginners to visualize and count through the numbers 1-9 when they are placed in a row or column?

Whatever the reason, many Sudoku beginners are making a mistake, because they’re not spending enough time looking at Squares. Squares (there are 9 of them on the grid, and each contains 9 spaces) are a great place to look for opportunities to place numbers, because each Square is made up of other rows and columns. You can get lots of information about which numbers can be eliminated or placed within a Square just by looking to the nearby rows and columns that make up that Square.

例如,在此处显示的网格中,有一个宫(底部中心,以橙色勾勒)有四个空格。通过计算宫上的现有数字,我们知道缺少的数字是1、3、5和8。如果我们往左下行看,在上面的中央列中,我们看到两个数字 8(以橙色圆圈),从包含数字 8(X'd 橙色)中消除了三个空格。这告诉我们,数字8必须在宫的右上角(用橙色标记)。

For example, in this grid shown here, there is a Square (bottom center, outlined in orange) that has four empty spaces. We know from counting up the existing numbers in the Square that the missing numbers are 1, 3, 5 and 8. If we look to the bottom row on the left, and in the central column above, we see two number 8s (circled in orange) which eliminate three of the spaces from containing the number 8 (X’d out in orange). This shows us that the number 8 must go in the upper right corner of the Square (marked in orange).

忽略网格的开放区域

数独是一个动量游戏,所以很自然地想要专注于网格的某些部分,在那里你已经成功地放置了数字。无论如何,不要停下来,如果你知道他们应该去哪里,就继续放数字。

Ignoring Open Areas of the Grid

Sudoku is a game of momentum, so it’s natural to want to focus on the parts of the grid where you’re already having success with placing numbers. By all means, don’t take your foot off the gas pedal – keep placing numbers if you know where they go.

但是,许多数独初学者犯的另一个错误是过于关注他们成功的网格部分,而忘记了网格中基本上空白的部分。仅仅因为一排或柱子或宫有很多空位并不意味着你不能在那里取得进展。

例如,在这个网格中,右边有一个宫(用橙色勾勒),似乎是一个低潜力的地方——它有五个空位。但是,如果我们仔细观察,我们可以看到一些机会。

我们知道丢失的数字是1、2、4、6和8。我们可以看到前两行(以橙色圆圈)中的两个数字 8,这消除了 5 个空格中的 4 个(以橙色标记为 X)。这意味着 8 号必须在宫的下中心空间(目前为空白)。

But one other mistake that many Sudoku beginners make is to focus too much on the parts of the grid where they’re having success, and forget about the parts of the grid that are largely blank. Just because a row or column or Square has a lot of empty spaces doesn’t mean you can’t make progress there.

For example, in this grid, there is a Square to the right (outlined in orange) that seems like a low-potential place to work on – it has five empty spaces. But if we look more closely we can see some opportunities.

We know that the missing numbers are 1, 2, 4, 6 and 8. We can see two number 8s in the top two rows (circled in orange) which eliminate four of the 5 spaces (marked with Xs in orange). This means that the number 8 must go in the lower center space of the Square (currently left blank).

一旦8号被放置,我们可以看到另一个机会在同一个宫。如此网格所示,其余数字将放置 1、2、4 和 6。

我们可以看到数字 2s(以橙色为圆圈)在左侧和中间列,这意味着数字 2 必须在右上方形(以橙色标记)。

此示例显示了如何能够在电网中似乎不太有希望的部分取得一些进展。不要过分依赖网格中的"常见的疑点&#​34;部分,不要害怕朝完全不同的方向看。

Once the number 8 is placed, we can see another opportunity within this same Square. As shown in this grid, the remaining numbers to place 1, 2, 4 and 6.

We can see number 2s (circled in orange) in the left and center columns, which means that the number 2 must go in the upper right Square (marked in orange).

This example shows how it’s possible to make some progress in a part of the grid that seemed to be less than promising. Don’t rely too much on the “usual suspects” parts of the grid – don’t be afraid to look in a totally different direction.