Case 1: minimum base is 10
Case 2: minimum base is 8
Case 3: expression is invalid.
Case 4: minimum base is 27
Case 5: minimum base is 3
Case 6: minimum base is 2
Case 7: expression is invalid.
Case 8: minimum base is 36
Case 9: minimum base is 19
Case 10: minimum base is 36
Case 11: minimum base is 36
Case 12: minimum base is 12
Case 13: minimum base is 11
Case 14: minimum base is 36
Case 15: minimum base is 36
Case 16: minimum base is 10
Case 17: minimum base is 10
Case 18: minimum base is 19
Case 19: minimum base is 10
Case 20: minimum base is 36
Case 21: minimum base is 36
Case 22: minimum base is 2
Case 23: minimum base is 2