Question 6
Each different letter represents a different digit in the six-digit numbers below, and B is not zero. Find the last three digits of the smallest possible sum. For example, if a sum is 12345, enter 345.
**Solution-derived reconstruction:** the question's cryptarithm is missing in the source. BETTER + BITTER + BATTER + BUTTER is reconstructed from its worked solution. The original row order is unknown; row order does not affect the sum.

Enter exactly three digits, including a leading zero if needed.
**Solution-derived reconstruction:** the question's cryptarithm is missing in the source. BETTER + BITTER + BATTER + BUTTER is reconstructed from its worked solution. The original row order is unknown; row order does not affect the sum.

Enter exactly three digits, including a leading zero if needed.