In the heart of the enchanted forest of Vriksh, there lies an ancient secret guarded by the oldest and wisest tree. To unlock this secret, you must discover a three-digit number. Each digit of this number is confined within specific ranges:
- The first digit ranges between 0 and 2.
- The second digit ranges between 0 and 5.
- The third digit ranges between 0 and 5.
Solve the following clues to find the number.
The First Digit:
I am neither the beginning nor the end. I reside in the middle, balancing the extremes.
My value equals the number of vertices in the simplest polygon.
The Second Digit:
When I multiply myself by 2, I transform into the sum of my individual digits.
If you rearrange my digits, I am still the same.
The Third Digit:
I am the only number that remains unchanged when you reverse its digits and then multiply the result by 5.
I am a single step away from being twice as large as the first digit when squared.
