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  1. # your code goes here
  2. from math import floor, sqrt
  3. from operator import mul
  4. from functools import reduce, partial
  5. from itertools import chain, combinations, product as cartesian
  6.  
  7. def product(it):
  8. 	return reduce(mul, it, 1)
  9.  
  10. def factors(n):
  11. 	n = floor(n)
  12.  
  13. 	while not n%2:
  14. 		yield 2
  15. 		n //= 2
  16. 		if n <= 1: break
  17.  
  18. 	for f in range(3, floor(sqrt(n))+1, 2):
  19. 		while not n%f:
  20. 			yield f
  21. 			n //= f
  22. 			if n <= 1: break
  23. 	else:
  24. 		if n > 1: yield n
  25.  
  26. def int_divs(n):
  27. 	facts = tuple(factors(n))
  28. 	return map(
  29. 		product,
  30. 		chain.from_iterable(
  31. 			map(partial(combinations, facts), range(1, 1+len(facts)))
  32. 		)
  33. 	)
  34.  
  35. N, M, L, R = map(int, input().split())
  36.  
  37. pairs = [p
  38. 	for p in set(cartesian(int_divs(N), int_divs(M)))
  39. 	if L < mul(*p) < R
  40. ]
  41.  
  42. print(*pairs, sep=' ')
Success #stdin #stdout 0.04s 9040KB
comments (?)
stdin
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443543256 56457 0 999999999
stdout
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(258024, 2091) (6876, 18819) (3438, 27) (29796, 3321) (64506, 17) (13, 1107) (10751, 153) (64506, 1377) (1263656, 459) (12320646, 3) (2808, 3321) (4962, 18819) (52, 17) (89388, 1377) (134082, 51) (193518, 51) (191, 51) (4962, 1377) (234, 153) (29772, 459) (117, 17) (11372904, 27) (1895484, 51) (36, 41) (43004, 2091) (9, 9) (9932, 1107) (13, 56457) (32253, 51) (1654, 27) (54, 369) (3308, 18819) (14886, 51) (2, 1377) (702, 2091) (44658, 1107) (12, 41) (19848, 153) (6616, 1107) (580554, 17) (108, 3321) (9932, 51) (3790968, 153) (52, 56457) (67041, 41) (27, 56457) (4, 1377) (6616, 27) (4, 17) (134082, 459) (11372904, 9) (78, 6273) (12, 81) (27, 2091) (4962, 697) (2053441, 41) (14898, 41) (1263656, 17) (18480969, 17) (2322216, 3) (24, 3321) (13752, 3) (44658, 51) (89388, 81) (1404, 27) (64506, 697) (9924, 1107) (117, 123) (14898, 81) (7443, 153) (78, 3) (6, 369) (2322216, 123) (4, 6273) (1404, 1107) (5157, 369) (178632, 459) (4966, 27) (18, 2091) (580554, 3) (268164, 1377) (4264839, 123) 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https://ideone.com/de3PsA
language:
Python 3 (python  3.9.5)
created:
9 years ago
visibility:
public

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