2022-2023年Bebras挑战练习题-Cipher 8(密码8)

An octagon has groups of three or four letters written at the vertices. An arrow points from the center of the octagon to a letter group. The arrow can rotate clockwise.一个八边形的顶点处写着三或四个字母组成的组。有一支箭从八边形的中心指向一组字母。这支箭可以顺时针旋转。

2022-2023年Bebras挑战练习题-Cipher 8(密码8)

Messages can be encrypted using the octagon and arrow.消息可以使用八角形和箭头进行加密。

At the beginning of the encryption of a new message, the arrow always points to the letters ABC.

We encrypt each letter of the message so that:我们对消息中的每个字母进行加密,以使:在对新消息进行加密的开始阶段,箭头总是指向字母 ABC。

  • The first number indicates how many vertices of the octagon the arrow should be rotated, starting at its current position.第一个数字表示箭头应绕八边形的顶点旋转的次数,从其当前位置开始。
  • The second number indicates the position of the encrypted letter in the letter group to which the arrow points.第二个数字表示箭头所指字母组中加密字母的位置。

Example:例子:

TREE is encrypted with the sequence 62-73-42-02.“TREE”用序列 62 - 73 - 42 - 02 进行了加密。

Question:问题:

What is the encrypted message for WATER?WATER 的加密信息是什么?

A. 72-11-26-32-53

B. 62-11-62-22-43

C. 62-11-26-22-53

D. 72-11-62-32-43

 

 

 

 

 

Explanation 解释

Answer: 答案:

72-11-62-32-43

Explanation: 解释:

We get the correct answer by gradually creating an encrypted text for the message WATER.我们通过逐步为信息“WATER”创建加密文本而得出正确答案。

The encrypted text will contain 5 codes:加密文本将包含 5 个代码:

  • At the start of the encryption, the arrow points to the letter group ABC. The letter W is located within the letter group, which the arrow will point to after rotating 7 vertices. The letter W is the second letter in the letter group VWX, so the first code is 72.加密开始时,箭头指向字母组 ABC。字母 W 位于该字母组内,箭头旋转 7 个顶点后将指向它。字母 W 是字母组 VWX 中的第二个字母,所以第一个代码是 72。
  • The second letter of the encrypted message is A. This letter is in the letter group ABC, which the arrow will point to after rotating once from its current position at letter group VWX. A is in the first position, so the second code is 11.加密信息中的第二个字母是 A。这个字母位于字母组 ABC 中,而箭头从当前指向的字母组 VWX 旋转一次后会指向该字母组。A 处于第一个位置,所以第二个密码是 11。
  • We get to the letter group containing T by rotating 6 vertices and the letter T is the second letter, so the third code is 62.我们通过旋转 6 个顶点到达包含字母 T 的字母组,而字母 T 是第二个字母,所以第三个密码是 62。
  • The letter E is in the letter group that the arrow will point to after the arrow is rotated 3 vertices and E is the second letter in the group, so the code is 32.字母 E 在箭头旋转 3 个顶点后所指向的字母组中,且 E 是该组中的第二个字母,所以密码是 32。
  • The last letter is R, in the letter group, which can be reached after rotating 4 vertices. R is the third letter, so the last code is 43.最后一个字母是 R,在字母组中,旋转 4 个顶点后可以到达。R 是第三个字母,所以最后一个代码是 43。

The whole encrypted text is 72-11-62-32-43.整个加密文本是 72 - 11 - 62 - 32 - 43 。

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