python3 -c 'import itertools
H=[2,6,7,8]
A=[0]*14
for i in range(1,14):
 A[i]=i if i<10 else 10
for k in range(1,14):
 L=list(H)
 L.append(k)
 v=[A[x] for x in L]
 c=[0]*22
 for mask in range(1,32):
  sm=0
  for i in range(5):
   if mask & (1<<i):
    sm=sm- -v[i]
  if 9<=sm<=21:
   c[sm]=c[sm]- -1
 print(k,c[9:22],max(c[9:22]))'