from __future__ import division
a = range(0, 10)
b = range(0, 10)
c = range(0, 10)
d = range(0, 10)
print a
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
count = 0
for ai in a:
for bi in b:
for ci in c:
for di in d:
if ai == 0 or bi == 0 or ci == 0 or di == 0:
continue;
else:
x = ai*ci
y = bi*di
res = x/y
xx = ai*10 + ci
yy = bi*10 + di
res2 = xx/yy
if res == res2:
count += 1
print str(count)+'. (', ai, '/', bi, ') x (', ci, '/', di, ') = ' , res, ' = ', xx, '/', yy
1. ( 1 / 1 ) x ( 1 / 1 ) = 1.0 = 11 / 11 2. ( 1 / 1 ) x ( 2 / 2 ) = 1.0 = 12 / 12 3. ( 1 / 1 ) x ( 3 / 3 ) = 1.0 = 13 / 13 4. ( 1 / 1 ) x ( 4 / 4 ) = 1.0 = 14 / 14 5. ( 1 / 1 ) x ( 5 / 5 ) = 1.0 = 15 / 15 6. ( 1 / 1 ) x ( 6 / 6 ) = 1.0 = 16 / 16 7. ( 1 / 1 ) x ( 7 / 7 ) = 1.0 = 17 / 17 8. ( 1 / 1 ) x ( 8 / 8 ) = 1.0 = 18 / 18 9. ( 1 / 1 ) x ( 9 / 9 ) = 1.0 = 19 / 19 10. ( 1 / 2 ) x ( 5 / 4 ) = 0.625 = 15 / 24 11. ( 1 / 4 ) x ( 8 / 5 ) = 0.4 = 18 / 45 12. ( 1 / 6 ) x ( 4 / 3 ) = 0.222222222222 = 14 / 63 13. ( 1 / 6 ) x ( 6 / 4 ) = 0.25 = 16 / 64 14. ( 1 / 9 ) x ( 9 / 5 ) = 0.2 = 19 / 95 15. ( 2 / 1 ) x ( 4 / 5 ) = 1.6 = 24 / 15 16. ( 2 / 2 ) x ( 1 / 1 ) = 1.0 = 21 / 21 17. ( 2 / 2 ) x ( 2 / 2 ) = 1.0 = 22 / 22 18. ( 2 / 2 ) x ( 3 / 3 ) = 1.0 = 23 / 23 19. ( 2 / 2 ) x ( 4 / 4 ) = 1.0 = 24 / 24 20. ( 2 / 2 ) x ( 5 / 5 ) = 1.0 = 25 / 25 21. ( 2 / 2 ) x ( 6 / 6 ) = 1.0 = 26 / 26 22. ( 2 / 2 ) x ( 7 / 7 ) = 1.0 = 27 / 27 23. ( 2 / 2 ) x ( 8 / 8 ) = 1.0 = 28 / 28 24. ( 2 / 2 ) x ( 9 / 9 ) = 1.0 = 29 / 29 25. ( 2 / 6 ) x ( 6 / 5 ) = 0.4 = 26 / 65 26. ( 3 / 3 ) x ( 1 / 1 ) = 1.0 = 31 / 31 27. ( 3 / 3 ) x ( 2 / 2 ) = 1.0 = 32 / 32 28. ( 3 / 3 ) x ( 3 / 3 ) = 1.0 = 33 / 33 29. ( 3 / 3 ) x ( 4 / 4 ) = 1.0 = 34 / 34 30. ( 3 / 3 ) x ( 5 / 5 ) = 1.0 = 35 / 35 31. ( 3 / 3 ) x ( 6 / 6 ) = 1.0 = 36 / 36 32. ( 3 / 3 ) x ( 7 / 7 ) = 1.0 = 37 / 37 33. ( 3 / 3 ) x ( 8 / 8 ) = 1.0 = 38 / 38 34. ( 3 / 3 ) x ( 9 / 9 ) = 1.0 = 39 / 39 35. ( 4 / 1 ) x ( 5 / 8 ) = 2.5 = 45 / 18 36. ( 4 / 4 ) x ( 1 / 1 ) = 1.0 = 41 / 41 37. ( 4 / 4 ) x ( 2 / 2 ) = 1.0 = 42 / 42 38. ( 4 / 4 ) x ( 3 / 3 ) = 1.0 = 43 / 43 39. ( 4 / 4 ) x ( 4 / 4 ) = 1.0 = 44 / 44 40. ( 4 / 4 ) x ( 5 / 5 ) = 1.0 = 45 / 45 41. ( 4 / 4 ) x ( 6 / 6 ) = 1.0 = 46 / 46 42. ( 4 / 4 ) x ( 7 / 7 ) = 1.0 = 47 / 47 43. ( 4 / 4 ) x ( 8 / 8 ) = 1.0 = 48 / 48 44. ( 4 / 4 ) x ( 9 / 9 ) = 1.0 = 49 / 49 45. ( 4 / 9 ) x ( 9 / 8 ) = 0.5 = 49 / 98 46. ( 5 / 5 ) x ( 1 / 1 ) = 1.0 = 51 / 51 47. ( 5 / 5 ) x ( 2 / 2 ) = 1.0 = 52 / 52 48. ( 5 / 5 ) x ( 3 / 3 ) = 1.0 = 53 / 53 49. ( 5 / 5 ) x ( 4 / 4 ) = 1.0 = 54 / 54 50. ( 5 / 5 ) x ( 5 / 5 ) = 1.0 = 55 / 55 51. ( 5 / 5 ) x ( 6 / 6 ) = 1.0 = 56 / 56 52. ( 5 / 5 ) x ( 7 / 7 ) = 1.0 = 57 / 57 53. ( 5 / 5 ) x ( 8 / 8 ) = 1.0 = 58 / 58 54. ( 5 / 5 ) x ( 9 / 9 ) = 1.0 = 59 / 59 55. ( 6 / 1 ) x ( 3 / 4 ) = 4.5 = 63 / 14 56. ( 6 / 1 ) x ( 4 / 6 ) = 4.0 = 64 / 16 57. ( 6 / 2 ) x ( 5 / 6 ) = 2.5 = 65 / 26 58. ( 6 / 6 ) x ( 1 / 1 ) = 1.0 = 61 / 61 59. ( 6 / 6 ) x ( 2 / 2 ) = 1.0 = 62 / 62 60. ( 6 / 6 ) x ( 3 / 3 ) = 1.0 = 63 / 63 61. ( 6 / 6 ) x ( 4 / 4 ) = 1.0 = 64 / 64 62. ( 6 / 6 ) x ( 5 / 5 ) = 1.0 = 65 / 65 63. ( 6 / 6 ) x ( 6 / 6 ) = 1.0 = 66 / 66 64. ( 6 / 6 ) x ( 7 / 7 ) = 1.0 = 67 / 67 65. ( 6 / 6 ) x ( 8 / 8 ) = 1.0 = 68 / 68 66. ( 6 / 6 ) x ( 9 / 9 ) = 1.0 = 69 / 69 67. ( 7 / 7 ) x ( 1 / 1 ) = 1.0 = 71 / 71 68. ( 7 / 7 ) x ( 2 / 2 ) = 1.0 = 72 / 72 69. ( 7 / 7 ) x ( 3 / 3 ) = 1.0 = 73 / 73 70. ( 7 / 7 ) x ( 4 / 4 ) = 1.0 = 74 / 74 71. ( 7 / 7 ) x ( 5 / 5 ) = 1.0 = 75 / 75 72. ( 7 / 7 ) x ( 6 / 6 ) = 1.0 = 76 / 76 73. ( 7 / 7 ) x ( 7 / 7 ) = 1.0 = 77 / 77 74. ( 7 / 7 ) x ( 8 / 8 ) = 1.0 = 78 / 78 75. ( 7 / 7 ) x ( 9 / 9 ) = 1.0 = 79 / 79 76. ( 8 / 8 ) x ( 1 / 1 ) = 1.0 = 81 / 81 77. ( 8 / 8 ) x ( 2 / 2 ) = 1.0 = 82 / 82 78. ( 8 / 8 ) x ( 3 / 3 ) = 1.0 = 83 / 83 79. ( 8 / 8 ) x ( 4 / 4 ) = 1.0 = 84 / 84 80. ( 8 / 8 ) x ( 5 / 5 ) = 1.0 = 85 / 85 81. ( 8 / 8 ) x ( 6 / 6 ) = 1.0 = 86 / 86 82. ( 8 / 8 ) x ( 7 / 7 ) = 1.0 = 87 / 87 83. ( 8 / 8 ) x ( 8 / 8 ) = 1.0 = 88 / 88 84. ( 8 / 8 ) x ( 9 / 9 ) = 1.0 = 89 / 89 85. ( 9 / 1 ) x ( 5 / 9 ) = 5.0 = 95 / 19 86. ( 9 / 4 ) x ( 8 / 9 ) = 2.0 = 98 / 49 87. ( 9 / 9 ) x ( 1 / 1 ) = 1.0 = 91 / 91 88. ( 9 / 9 ) x ( 2 / 2 ) = 1.0 = 92 / 92 89. ( 9 / 9 ) x ( 3 / 3 ) = 1.0 = 93 / 93 90. ( 9 / 9 ) x ( 4 / 4 ) = 1.0 = 94 / 94 91. ( 9 / 9 ) x ( 5 / 5 ) = 1.0 = 95 / 95 92. ( 9 / 9 ) x ( 6 / 6 ) = 1.0 = 96 / 96 93. ( 9 / 9 ) x ( 7 / 7 ) = 1.0 = 97 / 97 94. ( 9 / 9 ) x ( 8 / 8 ) = 1.0 = 98 / 98 95. ( 9 / 9 ) x ( 9 / 9 ) = 1.0 = 99 / 99