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