Case #1: 60
Case #2: 27
Case #3: 31
Case #4: 0
Case #5: 9
Case #6: 0
Case #7: 824489226
Case #8: 228416209
Case #9: 14231442
Case #10: 31749050
Case #11: 871842030
Case #12: 496227686
Case #13: 740455790
Case #14: 687834190
Case #15: 415275284
Case #16: 815170510
Case #17: 737257432
Case #18: 204464835
Case #19: 550439741
Case #20: 328256461