End of a 999-Digit Number
A 999-digit number starts with 9. Every 2 consecutive digits is divisible by 17 or 23. There are 2 possibilities for the last 3 digits. What is the sum of these 2 possibilities?
Details and assumptions
If you believe that the sum is over 999, enter your answer as 999.
If the number is 12345, then every 2 consecutive digits refers to the number 12, 23, 34 and 45.
The number starts with 9 if the leftmost digit is a 9.