Dicey Operations
Add 1
1. Find the pair of numbers that has the closest summation to 10.
2. Make them the tens digit of the two numbers.
3. Fill the ones digits with the rest of the numbers.
Add 2
1. This time need to try out multiple possible combinations for the hundreds digits of the three numbers.
2. Start from the combinations of three numbers that added up to 9 as the hundreds digits for the three numbers. Then this question is reduced to find three double-digit numbers with summation as close to 100 as possible.
3. You can try out the combinations of three numbers that added up to 10 as well. But generally it will not be better than 9.
4. Then try out the combinations of three numbers that added up to 8. This question is reduced to find three double-digit numbers with summation as close to 200 as possible.
5. Generally, a combination of three numbers that added up to 7 is unlikely to give better results when three are possible combinations for 8 and 9. But it is not impossible. Only try combinations of three numbers that added up to 6 or less when summation as 7, 8, or 9 is not possible.
6. Only try out combinations of three numbers that added up to 11 or more when there is no possible combinations of three numbers that added up to 10 or less.
7. Can fine-tune the result according to the relationship between the current summation and the target.
8. Find the scenario that has the closest summation to 1000.
Sub 1
1. Try the pair of digits that are consecutive as the tenth digit of the two numbers first.
2. Then try the pair of digits that are the same as the tenth digit of the two numbers if a pair of same number is available.
3. Then try the pair of digits with difference as 2. When filling in the ones digits, fill the larger number into the ones digit of the number below.
4. Only try other scenarios when none of the scenario described above is possible.
5. Find the scenario that has the closest result to 10.
Sub 2
1. Try all the combinations of the two numbers with difference as 1 to be the hundreds digits of the two numbers. Then this question is reduced to finding two double-digit numbers that are the closest to each other with the rest of the numbers.
2. Then try all the combinations of the two numbers that are equal (if possible). Then this question is reduced to finding two double-digit numbers that are further apart as possible with the rest of the numbers.
3. Only try other possible combinations when you can’t get the result from the previous scenarios to be within 100 of 100.
4. Can fine-tune the result based on the result’s relationship with 100.
5. Fina the scenario that has the closest result to 100.
Sub 3
1. First look at all the available numbers and determine whether there are repeated numbers.
2. If there are, first try to take one pair of equal numbers as the hundred digits of the two numbers. Then try a pair of consecutive numbers as the thousands digits. Finally try to find to double-digit number that are closest to each other with the numbers left. Next try a pair of equal numbers (if possible) as the thousands digits. Then try to find two double-digit numbers that are as further apart to each other with the numbers left. If you cannot get the result within 100 of 1000, try other combinations for the thousands digits and hundreds digits. In the end find the scenario with the closest result to 1000.
3. If there is not yet a solution. Just follow the same procedure as Sub 2 with an extra set of operations for the thousands digits.