Judge's Notes for Bounce:

Data set 1 and 2 are in the problem figures

Data set 3:  n=4: No solution.  This shows a partial repeat BCBCBC does count as a repetition of a path of length 4.

Data set 4: n=4: shows also having a smaller possible pattern length (2) is OK.

344
Data set 5: n=2
222

Data set 6: n=3
333

Data set 7: n=5
675

Data set 8: n=5
665

Data set 9: no solution.  This is the same as the previous pattern, but with an extra unreachable row at the bottom.

Data set 10: (n=3 "solution" BEDBED not allowed)

344-2

Data set 11:  (path starts and ends with leftward steps in top row)

364