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| print sum(n for n in range(1000) if n % 3 == 0 or n % 5 == 0) |
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| from itertools import takewhile | |
| def fib(): | |
| a, b = 1, 1 | |
| while 1: | |
| yield a | |
| a, b = b, a + b | |
| print sum(n for n in takewhile(lambda f: f < 4000000, fib()) if n % 2 == 0) |
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| def factorise(n): | |
| result = [] | |
| check = 2 | |
| while (check * check <= n): | |
| if n % check == 0: | |
| result.append(check) | |
| n /= check | |
| else: | |
| check += 1 | |
| if n != 1: |
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| def palindrome(n): | |
| return n == int(str(n)[::-1]) | |
| print max((i * j for i in range(100, 1000) | |
| for j in range(100, 1000) | |
| if palindrome(i * j))) |
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| def gcd(i, j): | |
| while j: | |
| i, j = j, i % j | |
| return i | |
| def lcm(i, j): | |
| return i * j / gcd(i, j) | |
| print reduce(lcm, range(1, 21)) |
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| print sum(range(1, 101)) ** 2 - sum(n * n for n in range(1, 101)) |
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| from itertools import count | |
| from itertools import islice | |
| def prime(): | |
| primes = [] | |
| for n in count(2): | |
| composite = 0 | |
| for p in primes: | |
| if not n % p: | |
| composite = 1 |
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| from operator import mul | |
| from itertools import islice | |
| s = '\ | |
| 73167176531330624919225119674426574742355349194934\ | |
| 96983520312774506326239578318016984801869478851843\ | |
| 85861560789112949495459501737958331952853208805511\ | |
| 12540698747158523863050715693290963295227443043557\ | |
| 66896648950445244523161731856403098711121722383113\ | |
| 62229893423380308135336276614282806444486645238749\ |
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| from itertools import count | |
| from itertools import takewhile | |
| def prime(): | |
| primes = [] | |
| for n in count(2): | |
| composite = 0 | |
| for p in primes: | |
| if not n % p: | |
| composite = 1 |
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| from itertools import count | |
| from itertools import dropwhile | |
| from math import sqrt | |
| from operator import mul | |
| def triple(): | |
| for a in range(1, 1000): | |
| for b in range(a + 1, 1000): | |
| c = int(sqrt(a * a + b * b)) | |
| if c * c == a * a + b * b: |
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