calculate the remainders

We have 10 numbers. 0 1 2 3 4 5 6 7 8 9. If 4 numbers is picked from these 10 numbers on the left side, we have the rest of 6 numbers on the right side a remainder. For example 4078 it is picked, so we have 123569 is a reminder. Now the logic or your program, python will come to work. So your program will ask 1. type a set of four numbers, so your program will subtract 4078, so the remainder is 123569. It may be as many as needed to insert a set of four numbers. Now your program will compile the remainders from left side, and right side, and either uses a force of four numbers or predicts 4 numbers from 6 numbers. The trick is that the remainders that we are going to work with. Also, no repeat of 4 numbers on the left side. Your job is do not repeat 4 numbers from the four numbers, no need , but to choose a four numbers from the six numbers from 6 numbers. This is the real example is occurred. If 4078 is on the left side the remainder is 123567 the answer is 2513 so 6 and 7 is out. 2513 could be in any order If it is 2537 is on the left side the remainder is 014689 , the answer is 8401 so 6 and 9 is out., 8401 could be in any order If it is 9783 is on the left side, the remainder is 012456, the answer is 4650. So 1 and 2 is out., 4650 could be in any order 1. Type in a set of four numbers 2. Your program will subtract the remainder 3. After all insert is typed, you do calculation 4. Then your program will analyze 123567, 014689, 012456 and, more 5. Then your program goes to calculation which 2 numbers will not be belong to the set. 6. Then either uses a force or predicts which set of four numbers will come or it is the outcome 7. Your program will compile the remainders and analyze , then will come to conclusion 8. Then prints out. 9. The clue is there is no repeat of the left, that we insert. 10. For example there is no repeat of 4078, 2537,9783 should be the out come either. 11. So no repeat from the left side, but it will be a set of 4 numbers that will be generated. 12. It is better to use C ++ . or may be Python. You may generate by math or you use a program code, which either is easier.