def multiPermus(els):
N = sum(els[k] for k in els)
keys = els.keys()
ret = []
def rec(soFar):
if len(soFar)==N:
ret.append(tuple(soFar))
return
for k in keys:
if els[k]>0:
els[k] -= 1
rec(soFar+[k])
els[k] += 1
rec([])
return ret
def countBrute(n, m):
ret = set()
b = []
N = m*n
for j in range(1, m+1): b += [j]*n
for t in multiPermus({k: n for k in range(1, m+1)}):
add = True
for j in range(N):
if t[j:]+t[:j] in ret: #or (t[j:]+t[:j])[::-1] in ret: #uncomment if can also flip
#print ("Found equivalent ", t, t[j:]+t[:j])
add=False
break
if add:
ret.add(t)
return len(ret)
print ([countBrute(n, 3) for n in range(1, 5)])
{"html5":"htmlmixed","css":"css","javascript":"javascript","php":"php","python":"python","ruby":"ruby","lua":"text\/x-lua","bash":"text\/x-sh","go":"go","c":"text\/x-csrc","cpp":"text\/x-c++src","diff":"diff","latex":"stex","sql":"sql","xml":"xml","apl":"apl","asterisk":"asterisk","c_loadrunner":"text\/x-csrc","c_mac":"text\/x-csrc","coffeescript":"text\/x-coffeescript","csharp":"text\/x-csharp","d":"d","ecmascript":"javascript","erlang":"erlang","groovy":"text\/x-groovy","haskell":"text\/x-haskell","haxe":"text\/x-haxe","html4strict":"htmlmixed","java":"text\/x-java","java5":"text\/x-java","jquery":"javascript","mirc":"mirc","mysql":"sql","ocaml":"text\/x-ocaml","pascal":"text\/x-pascal","perl":"perl","perl6":"perl","plsql":"sql","properties":"text\/x-properties","q":"text\/x-q","scala":"scala","scheme":"text\/x-scheme","tcl":"text\/x-tcl","vb":"text\/x-vb","verilog":"text\/x-verilog","yaml":"text\/x-yaml","z80":"text\/x-z80"}