Nerdle, February 2023

书呆子, 数字游戏. 2023 年 2 月

(1) Google “Nerdle”. (2) The screen shown above appears with the numeric key board below the six rows of eight cells. (3) We are required to guess at the eight-cell equation stored in the computer memory. (4) The eight cells can have digits and arithmetic signs (multiplication ( * ), addition ( + ), division ( / ), and subtraction ( - ) ; there is one cell reserved for the equal sign ( = )). (5) We need to get the solution within six attempts - each row represents one attempt. (6) After entry of an equation, the computer will show us the cells coloured (a) BLACK, representing that the digit or sign is not in the solution; or (b) PURPLE, meaning the digit or sign is in the solution but in another position; or (c) GREEN, meaning the digit or sign is correct and in the correct position.

(1) 谷歌“Nerdle”。 (2) 如上所示的屏幕出现，数字键盘位于六行八个单元格下方。 (3) 要求我们猜测存储在计算机内存中的八格方程。 (4) 八格可以有数字和算术符号（乘法（*）、加法（+）、除法（/）、减法（-）；等号（=）保留一格）。 (5) 我们需要在六次尝试内得到解决方案——每一行代表一次尝试。 (6) 输入方程式后，计算机会显示颜色为 (a) 黑色的单元格，表示该数字或符号不在解中； (b) 紫色，表示数字或符号在解决方案中但在另一个位置； (c) 绿色，表示数字或符号正确且位置正确。

Our logical first attempt is an equation with five different digits separated by a multiplication sign ( * ) in the second cell, the addition sign ( + ) in the fourth cell, and the equal ( = ) sign in the sixth cell. The result for such an equation is very telling of the solution we require.

我们合乎逻辑的第一次尝试是在第二个单元格中用乘号 (*) 分隔五个不同数字的等式，在第四个单元格中用加号 (+) 分隔，在第六个单元格中用等号 (=) 分隔。这样一个方程的结果非常能说明我们需要的解决方案。

Take the challenge of today, the first day of February 2023 as an example. We start with the equation: 9 * 4 + 2 = 3 8. The result is that the (1) equal sign is in the wrong position; (2) two arithmetical signs ( * ) and ( + ) are not in the equation, meaning that the equal sign has to be in the seventh position. Why? Because without these two signs the answer to that equation cannot be having a two or three digit answer. Make sense? Then (3) Digits 2, and 4 are coloured purple - in the solution but at differing positions. And (4) Digits 3, 8 and 9 are not in the solution.

以今天的挑战为例，2023 年 2 月的第一天。我们从等式开始：9 * 4 + 2 = 3 8。结果是（1）等号位置错误； (2) 两个算术符号（*）和（+）不在等式中，意味着等号必须在第七位。为什么？因为没有这两个符号，方程式的答案就不可能是两位数或三位数的答案。有道理？然后 (3) 数字 2 和 4 为紫色 - 在解决方案中但在不同的位置。并且 (4) 数字 3、8 和 9 不在解中。

Our next attempt is to see if the division sign ( / ) and the deduction sign exist in the solution by the equation 2 4 / 6 - 2 = 2. Digits 6 and one of the three digits 2’s are coloured BLACK, thus not in the solution. The two signs of division and subtraction are correct. The first two digits of 2 and 4 are also correct. A second digit 2 is coloured PURPLE.

我们的下一个尝试是查看等式 2 4 / 6 - 2 = 2 的解中是否存在除号 ( / ) 和减号。数字 6 和三个数字中的一个 2 是黑色的，因此不在解决方案。除法和减法这两个符号是正确的。 2和4的前两位数也是正确的。第二个数字 2 是紫色的。 
第三次尝试是 2 4 / 4 - 4 = 2。这是一个错误，因为单元格位置 8 的数字 2 在较早的第二次尝试中显示为紫色。尽管如此，拒绝第二个和第三个数字“4”促使我们提供第四次正确的尝试。

The third attempt is 2 4 / 4 - 4 = 2. This is a mistake ad the digit 2 at cell position eight has been shown as purple in the earlier second attempt. Nonetheless, the rejection of the second and third digit ‘ 4 ‘ prompted us to provide the fourth correct attempt.

So, fourth attempt: 2 4 / 2 - 7 = 5 is correct.

因此，第四次尝试：2 4 / 2 - 7 = 5 是正确的。

We have played 305 games so far and have got the right equations all of the time.

到目前为止，我们已经玩了 305 场比赛，并且一直都能找到正确的方程式。

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