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1. a + a + a + a + a = 5
2. a + a + a + a + b = 15
3. a + a + a + a + c = 115
4. a + a + a + a + d = 1115
5. a + a + a + b + b = 25
6. a + a + a + b + c = 125
7. a + a + a + b + d = 1125
8. a + a + a + c + c = 225
9. a + a + a + c + d = 1225
10. a + a + a + d + d = 2235
11. a + a + b + b + b = 35
12. a + a + b + b + c = 135
13. a + a + b + b + d = 1135
14. a + a + b + c + c = 235
15. a + a + b + c + d = 1235
16. a + a + b + d + d = 2245
17. a + a + c + c + c = 335
18. a + a + c + c + d = 1335
19. a + a + c + d + d = 2355
20. a + a + d + d + d = 3345
21. a + b + b + b + b = 45
22. a + b + b + b + c = 145
23. a + b + b + b + d = 1145
24. a + b + b + c + c = 245
25. a + b + b + c + d = 1245
26. a + b + b + d + d = 2255
27. a + b + c + c + c = 345
28. a + b + c + c + d = 1345
29. a + b + c + d + d = 2365
30. a + b + d + d + d = 3355
31. a + c + c + c + c = 435
32. a + c + c + c + d = 1435
33. a + c + c + d + d = 2455
34. a + c + d + d + d = 3445
35. a + d + d + d + d = 4455
36. b + b + b + b + b = 55
37. b + b + b + b + c = 155
38. b + b + b + b + d = 1155
39. b + b + b + c + c = 245
40. b + b + b + c + d = 1245
41. b + b + b + d + d = 2255
42. b + b + c + c + c = 345
43. b + b + c + c + d = 1345
44. b + b + c + d + d = 2365
45. b + b + d + d + d = 3355
46. b + c + c + c + c = 455
47. b + c + c + c + d = 1455
48. b + c + c + d + d = 2475
49. b + c + d + d + d = 3465
50. b + d + d + d + d = 4475
51. c + c + c + c + c = 555
52. c + c + c + c + d = 1555
53. c + c + c + d + d = 2575
54. c + c + d + d + d = 3565
55. c + d + d + d + d = 4575
56. d + d + d + d + d = 5555
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