[ASSIGNMENT] Gravitational Numbers (extended version)

Question

PART 1:

Let's pretend that numbers from 1 to 9 have mass and gravitate towards one another.
The higher value attracts the smaller (the smaller value moves towards the higher).

The following notation is introduced:
(<<) = Mass to left is greater.
(>>) = Mass to Right is greater.
(><) = Mass is equal both sides.

(0) is a Blackhole, so all surrounding mass gravitates towards it.

Answer 1

SOLUTIONS LIST:

If you experience some difficulties solving this task, you can refer to this list of correct solutions:
- my own solution (Python): https://code.sololearn.com/cDeSwkB15el2/?ref=app
- LukArToDo (Java): https://code.sololearn.com/chD9bQ80g48z/?ref=app
- ~ swim ~ (C++): https://code.sololearn.com/c9VCUjwA1HaG/?ref=app
- ... free place for your solution if you will be able to find it ... Good luck! ;-)

Answer 2

https://code.sololearn.com/chD9bQ80g48z/?ref=app

Answer 3

PART 2:

Numbers with several digits move depending on the interaction between their corresponding digits.

For example: 175 >> 391 because 1 >> 3 and 7 >> 9 and 5 << 1
12 >> 13 because 1 >< 1 and 2 >> 3
42 >< 13 because 4 << 1 and 2 >> 3

However, if number contains 0 it overrides the effect of any other interactions!
If one of the number has more 0s than the other it has bigger mass.

For example: 107 << 359 because it contains 0 despite of 1 >> 3 and 7 >> 9
102 >> 100 because 102 has one 0 whereas 100 has two 0
107 >< 250 because both have one 0

YOUR TASK:

Using a random number generator build a matrix of given size with given numbers length and print it out together with gravity states.

Example for the input 3,2,4 (matrix 3 by 2 with 4 digits numbers):

6185 >> 8306 << 2947
^ ^ ^
v ^ ^
2523 >< 9417 >> 1928
v v v
v v v
3503 >> 4005 >< 1900

CREDENTIALS:

This task is an extension of the other one, which operates only with one digit numbers. So if you didn't solve it before, you can find its full text here: https://www.sololearn.com/Discuss/1216717/?ref=app

I thank @D_Stark for the great initial idea.