$ ./test
first 10 steps in solution:
step 0: actual=0, expected=0
step 1: actual=0, expected=0
step 2: actual=1, expected=1
step 3: actual=0, expected=0
step 4: actual=0, expected=0
step 5: actual=0, expected=0
step 6: actual=1, expected=1
step 7: actual=2, expected=2
step 8: actual=1, expected=1
step 9: actual=0, expected=0
first 10 steps in solution:
step 0: actual=0, expected=0
step 1: actual=1, expected=1
step 2: actual=1, expected=1
step 3: actual=0, expected=0
step 4: actual=0, expected=0
step 5: actual=0, expected=0
step 6: actual=1, expected=1
step 7: actual=1, expected=1
step 8: actual=1, expected=1
step 9: actual=1, expected=1
===============================================================================
All tests passed (22 assertions in 20 test cases)