You are given a list of numbers (list) and a starting position (pos).
Your goal is to find a sequence of jumps from the starting position to the end of the list, ending at list.size(). A valid jump at any position must be between zero and the value at that position in the list, i.e. list.get(pos), inclusive. You must return a list of valid jumps in sequence that lead to the end of the list, or null if no such sequence exists.
Examples
For list = [ 1, 2, 0 ] and pos = 0, the only valid path from position 0 to position 3 is [ 1, 2 ]. This sequence represents two jumps, first from position 0 to position 1, then from position 1 to position 3.
For list = [ 2, 3, 0, 2, 2 ] and pos = 0, possible valid paths are:
[ 1, 3, 1 ] jump from position 0 to 1, then from 1 to 4, then from 4 to 5
[ 1, 2, 1, 1 ] jump from position 0 to 1, then from 1 to 3, then from 3 to 4, then 4 to 5
[ 1, 2, 2 ] jump from position 0 to 1, then from 1 to 3, then from 3 to 5
For list = [ 2, 1, 0 ] and any pos, there is no valid result, so the return value should be null.
