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  1. ☐ Perfect Integers @created(18-01-31 18:21) @due(18-02-01 18:32)
  2. a positive integer (n > 0) that is equal to the sum of it's proper divisors
  3. divisors of 6 /= 1,2,3
  4. 6 is Perfect Int because 1 + 2 + 3 == 6
  5.  
  6. 1.) gather the user #
  7. 2.) Check whether # is perfect integer or not
  8. a.) If so, tell that it is. Probably show the integers used to determine that it is a perfect integer
  9. b.) If not, tell that it is not. Probably show the integers used to determine that it is not a perfect integer
  10.  
  11. How to decide that it is a perf. integer
  12. while i is less than n (this will run until i >= n is true)
  13. if n modulo i equals 0 then
  14. sum += i
  15. else
  16. discard
  17. if sum is equal to n
  18. n is perfect number
  19. else
  20. n is not perfect number
  21. ☐ Find Slope + Intercept of line when given two points @created(18-01-31 18:21) @due(18-02-01 18:32)
  22. Pretty simple
  23. 1.) gather the user's two points (±x1,±y1) -- (±x2,±y2)
  24. 2.) equation for slope is (y2 - y1)/(x2-x1)
  25. 3.) finding the y intercept (the 'b' in y=mx+b) is simple
  26. a.) the slope is m in y=mx+b
  27. b.) solve for b, so b = -(mx) + y
  28. c.) for x,y take xn, yn where n is one of the two points
  29. d.) solve for b
  30.  
  31. EXAMPLE (Done in SpeedCrunch)
  32. x1
  33. = 23
  34.  
  35. y1
  36. = −7
  37.  
  38. x2
  39. = 2
  40.  
  41. y2
  42. = 9
  43.  
  44. m = (y2−y1)/(x2−x1)
  45. = −0.76190476190476190476
  46.  
  47. b = −(m×x1) + y1
  48. = 10.52380952380952380952
  49.  
  50. b = −(m×x2) + y2
  51. = 10.52380952380952380952
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