diff options
Diffstat (limited to 'challenge-169/roger-bell-west/python/ch-2.py')
| -rwxr-xr-x | challenge-169/roger-bell-west/python/ch-2.py | 70 |
1 files changed, 70 insertions, 0 deletions
diff --git a/challenge-169/roger-bell-west/python/ch-2.py b/challenge-169/roger-bell-west/python/ch-2.py new file mode 100755 index 0000000000..81dd972b02 --- /dev/null +++ b/challenge-169/roger-bell-west/python/ch-2.py @@ -0,0 +1,70 @@ +#! /usr/bin/python3 + +import unittest + +from math import sqrt,floor,gcd +from collections import deque +from functools import reduce + +def genprimes(mx): + primesh=set(range(2,4)) + for i in range(6,mx+2,6): + for j in range(i-1,i+2,2): + if j <= mx: + primesh.add(j) + q=deque([2,3,5,7]) + p=q.popleft() + mr=floor(sqrt(mx)) + while p <= mr: + if p in primesh: + for i in range(p*p,mx+1,p): + primesh.discard(i) + if len(q) < 2: + q.append(q[-1]+4) + q.append(q[-1]+2) + p=q.popleft() + primes=list(primesh) + primes.sort() + return primes + +def primefactor(n): + f=dict() + m=n + for p in genprimes(floor(sqrt(n))): + while (m % p == 0): + m //= p + if p in f: + f[p] += 1 + else: + f[p] = 1 + if m==1: + break + if m > 1: + if m in f: + f[m] += 1 + else: + f[m] = 1 + return f + +def achilles(ct): + o = [] + n = 1 + while True: + n += 1 + pv = [i for i in primefactor(n).values()] + if len(pv) > 1 and min(pv) >= 2 and reduce(gcd,pv,pv[0]) == 1: + o.append(n) + if len(o) >= ct: + break + return o + +class TestAchilles(unittest.TestCase): + + def test_ex1(self): + self.assertEqual(achilles(20), + [72, 108, 200, 288, 392, 432, 500, 648, + 675, 800, 864, 968, 972, 1125, 1152, 1323, + 1352, 1372, 1568, 1800], + 'example 1') + +unittest.main() |
