Question

Solve this puzzle:
There are 5 digits, each marked by a number 1 through 5, that can display the numbers 1 to 7. The puzzle is solved once all digits are 1. There are 5 options that target specific digits. Each one cycles through the selected digits (1 then 2 then 3, etc.). The options are as follows:
A. Cycles between digits 1, 2, and 5
B. Cycles between digits 1, 2, and 3
C. Cycles between digits 2, 3, and 4
D. Cycles between digits 3, 4, and 5
E. Cycles between digits 1, 4, and 5
The glyph currently reads 75351. What options do you use in which order to cause the glyph to read all 1s?

Answer 1

To solve this puzzle, we need to determine which moves (from A to E) can be used on the current state of the digits (75351) to gradually change all the digits to 1.

Currently, we have:
- Digit 1: 7
- Digit 2: 5
- Digit 3: 3
- Digit 4: 5
- Digit 5: 1

Our objective is to change each digit to 1.

### Analyzing the options:

1. **Option A (cycle 1, 2, 5)** cycles the values of digits 1, 2, and 5. The cycles would be:
- Digit 1: 7 -> 1 (because it cycles back to 1 after 7)
- Digit 2: 5 -> 1 (after 5 comes 1)
- Digit 5: 1 -> 7

After using A: (1, 1, 3, 5, 7)

2. **Option B (cycle 1, 2, 3)** cycles the values of digits 1, 2, and 3. The cycles would be:
- Digit 1: 7 -> 1
- Digit 2: 5 -> 1
- Digit 3: 3 -> 4

After using B: (1, 1, 4, 5, 1)

3. **Option C (cycle 2, 3, 4)** cycles the values of digits 2, 3, and 4. The cycles would be:
- Digit 2: 5 -> 1
- Digit 3: 4 -> 5
- Digit 4: 5 -> 6

After using C: (7, 1, 5, 6, 1)

4. **Option D (cycle 3, 4, 5)** cycles the values of digits 3, 4, and 5. The cycles would be:
- Digit 3: 3 -> 4
- Digit 4: 5 -> 6
- Digit 5: 1 -> 7

After using D: (7, 5, 4, 6, 7)

5. **Option E (cycle 1, 4, 5)** cycles the values of digits 1, 4, and 5. The cycles would be:
- Digit 1: 7 -> 1
- Digit 4: 5 -> 1
- Digit 5: 1 -> 7

After using E: (1, 5, 7, 1, 7)

### Strategy to solve:

1. Start with option A to cycle digits 1, 2, and 5:
- From 75351 to 11351
2. Next, apply option B to affect digits 1, 2, and 3:
- From 11351 to 11451
3. Apply option C to cycle the second, third and fourth digits:
- From 11451 to 11341
4. Finally, use option D to cycle the digits 3, 4 and 5:
- From 11341 to 11111.

Therefore, the sequence of options used is **A, B, C, and D** in that order to achieve the desired outcome where the glyph reads all 1s.