Person in charge

• 035966_L3

Attention

A cube number x is called a "distinct digit cube" if all its decimal digits are different.

Examples:

• $343$ is NOT a "distinct digit cube" (repeated $3$'s)
• $841$ is NOT a "distinct digit cube" (not a perfect cube)
• $512$ is a "distinct digit cube"

Obviously, a "distinct digit cube" $x$ cannot have more than $10$ digits.

Find all "distinct digit cubes" with $1$ to $10$ digits respectively. Note that $0$ is considered a valid 1-digit "distinct digit cube".

Answer Format

This is an output-only problem.

You must submit a zip file named ultimate.zip containing $\bm{10}$ text files:

• 1.txt (1-digit cubes)
• 2.txt (2-digit cubes)
• ...
• 10.txt (10-digit cubes)

Each file requirements:

• One number per line
• Numbers in ascending order
• Only "distinct digit cubes"
• No empty lines
• No additional characters

Example 4.txt:

1728
2197
4096
****
....