problem secret
Find the secret word by the following instructions below.
根据下面的指示找到秘密单词.
The statement of this problem is contained in an image.
这个题目将会在一张图像中进行.
Starting with this image, at each step, simultaneously repleace each pixel with the sum of its four neighbours in orthogoanal dirctions.
在图上开始,每次同时用与该单元格相邻的四个格子的字母总和替换该单元格的元素.
Note that, although the original pixels are represented by 8-bit integers, in later steps they can be arbitrarily large without any
integer overflow.
注意,虽然每一个字母使用char的8位表示,在计算中他们被认为可以任意大的,不会有溢出.
The edges of the image are considered “glued” in such a way that pixels on the top edge are neighbours to those on the bottom
edge; and similarly for left and right edges.
注意:该图被认为是拼接起来的,也就是说下边和上边相邻,左边和右边相邻.
As illustration, in the following diagram, where each square represents a pixel, the pixel marked with “A” has neighbours “B” to “E”; and the pixel marked with “a” has neighbours “b” to “e”.
如下图,字符 A 的四个相邻格是 BCDE ,字符 a 的四个相邻格子是 bcde
| x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | d | |||||||||
| 2 | B | |||||||||
| 3 | A | E | C | |||||||
| 4 | D | |||||||||
| 5 | b | |||||||||
| 6 | e | c | a |
After $10^{12}$ steps, the secret word will be revealed by taking each pixel modulo $7$ .
在 $10^{12}$ 步后,通过将每个单元格模 $7$ 来揭示秘密单词.
题解(spoiler)
I don’t know(noob).
不会(菜).