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.
There are nine eight-digit numbers which meet the conditions for divisibility, with unique digits. The first and last would be the minimum and maximum requested. Execution time 0.01 seconds.