X is a positive eight-digit base ten integer of the form CONSIDER
where each of the capital letters in bold denotes a different base ten digit from 0 to 9, and satisfies all of the following conditions, where C
- CO is divisible by 2.
- CON is divisible by 3.
- CONS is divisible by 4.
- CONSI is divisible by 5.
- CONSID is divisible by 6.
- CONSIDE is divisible by 7.
- CONSIDER is divisible by 8.
Determine the respective minimum and maximum value of X.
min(X) = 12,965,408
by trial & error, starting with the lowest possible values and backtracking (10, 102, 1024, etc.)