#binary+

sys =

{
   0: {({'a'},{'p'}): 0,({'c','m'},{'p'}): 7},
   8: {({'a'},{'p'}): 0,({'c','m'},{'p'}): 2},
   4: {
      ({'a'},{'p','r'}): 9,
      ({'g'},{'s'}): 3,
      ({'h','m'},{'s','u','v'}): 0},
   2: {
      ({'a','m'},{'v'}): 8,
      ({'g','h','m'},{'u','v'}): 9},
   6: {({'a'},{'p'}): 6,({'c','m'},{'p'}): 1},
   1: {
      ({'a','m'},{'v'}): 8,
      ({'g','h','m'},{'u','v'}): 9},
   9: {
      ({'a'},{'p','r'}): 9,
      ({'g'},{'s'}): 3,
      ({'h','m'},{'s','u','v'}): 8},
   3: {({'a'},{'u','v'}): 8},
   7: {
      ({'a','m'},{'v'}): 6,
      ({'g','h','m'},{'u','v'}): 4}}