python3 -c 'import itertools
H=[2,3,5,8]
A=[0]*14
for i in range(1,14):
 A[i]=i if i<10 else 10
def seq(L):
 d={}
 for x in L:
  d[x]=d.get(x,0)- -1
 s=0
 for x in sorted(d):
  if x-1 not in d:
   y=x
   while y in d:
    y=y- -1
   n=y-x
   if n>=3:
    p=1
    for z in range(x,y):
     p=p*d[z]
    s=s- -(n*p)
 return s
def cms(L):
 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
 return c
for k in range(1,14):
 L=list(H)
 L.append(k)
 c=cms(L)
 pair=0
 for x in set(L):
  n=L.count(x)
  pair=pair- -(n*(n-1))
 s=2*c[15]- -seq(L)- -pair
 print(k,s,2*c[15],seq(L),pair)'