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How to use DVs in a Pokemon Red speed run

Exarion Oct 30th, 2014 (edited) 2,457 Never
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  1. In Generation 1, DV stands for determinant value. Each Pokemon has a DV ranging from 0 to 15 for each stat. The higher the DV, the higher the growth rate for that stat. At Level 100, the difference between 0 and 15 DV is about 30 stat points. DVs help speed runners decide which strategies to use, and they can be determined by checking my stats at certain level-ups.
  2.  
  3. DVs for event Pokemon, such as Squirtle and Eevee, are likely random -- that is, every combination from 0 ATK/0 DEF/0 SPD/0 SPC to 15/15/15/15 is possible. Note that the HP DV is never random; instead, it is determined by whether the other four DVs are even or odd. Add 8 to the HP DV if the Attack DV is odd, 4 if Defense is odd, 2 for Speed, and 1 for Special. So a 0/0/0/0 Nidoran must also have an HP DV of 0, and a 15/15/15/15 Nidoran must also have an HP DV of 15.
  4.  
  5. However, DVs for wild Pokemon are much more limited. In grass patches with an encounter rate of 25, such as the Nidoran bushes in Red and Yellow, Pokemon have only 6,805 possible combinations. Dailyleaf has listed all the combinations here: http://pastebin.com/iBT64Pkq
  6.  
  7. The main limitation in these combinations is that most combinations of Attack and Speed are impossible. For example, it is impossible for a Nidoran to have both 12 DV Attack and 15 DV Speed. Its Defense and Special DVs come into play as well; for example, the combination of 13 Attack and 12 Speed is only possible with 0 Defense and 15 Special. Also, a 15 Attack/15 Speed Nidoran can have no better than 7 Special.
  8.  
  9. In runs, these limitations can help you determine your DVs more quickly. This can help you plan strategies in advance. It can also aid your decision of whether to reset a bad run. For example, if I know my Nidoran's Attack DV is 11 (can be determined by Lv. 10) and it had 13 Speed at Level 8, my Speed DV is very likely 1 (it can be 0 or 2 with extreme differences between my Defense and Special DVs). That's probably not runnable unless my time is really good.
  10.  
  11. Here are the corresponding Attack and Speed DVs. Any combination not listed below is impossible:
  12.  
  13. ATK     SPEED (common)  SPEED (outliers*)
  14. 15      14, 15          --
  15. 15      9               8, 10
  16. 15      3, 4            --
  17. 14      13, 14          --
  18. 14      8               9
  19. 14      3               2, 4
  20. 13      13              12, 14
  21. 13      7, 8            --
  22. 13      2, 3            --
  23. 12      12, 13          --
  24. 12      7               6, 8
  25. 12      1, 2            --
  26. 11      11, 12          --
  27. 11      6, 7            --
  28. 11      1               0, 2
  29. 10      11              10, 12
  30. 10      5, 6            --
  31. 10      0, 1            --
  32. 9       15              --
  33. 9       10, 11          --
  34. 9       5               4, 6
  35. 9       0               --
  36.  
  37. Full chart (courtesy of Mountebank): http://imgur.com/3cjQqB2
  38.  
  39. *Outliers occur when there is a large difference between your Defense and Special DVs. Naturally, they occur less often.
  40.  
  41. The most useful application of these limitations comes when you see 12 Attack and 11 Speed at Lv. 5. These stats alone limit your DVs to 13-15 Attack and 10-15 Speed. The only possible combinations of those values are:
  42.  
  43. 15/15
  44. 15/14
  45. 15/10 (only possible with great Defense and terrible Special)
  46. 14/14
  47. 14/13
  48. 13/14 (only possible with great Defense and terrible Special)
  49. 13/13
  50. 13/12 (only possible with 0 DV Defense and 15 DV Special)
  51.  
  52. You can rule out the 15/10 spread if you see 15 Speed at Lv. 8. In that case, your chance of having 13-15 DV Speed is about 99 percent (as opposed to 75 percent if Nidoran was an "event" Pokemon). You outspeed Misty's Starmie with 13 DV, but you speedtie it with 12. When you outspeed, you can afford to heal to less than full HP. Since you're almost certain you'll outspeed, you can buy 1-2 fewer Potions in Pewter City.
  53.  
  54. Another practical application occurs when you have 11 DV Attack and you saw 15 Speed at Level 9. With this information, you know your Speed DV is 6-7. If your Special DV is greater than your Defense DV (or if they're about equal), you know that your Speed DV is 6. Having exactly 6 DV Speed can affect your strategy immediately upon entering Mt. Moon, as you'll want to consider killing 3 Zubats to gain enough stat experience to outspeed Sabrina's Alakazam with only two Carbos.
  55.  
  56. You can also use your HP DV to determine your DVs early in a run. For example, given the example of outspeeding Starmie, if you saw 19 HP at Lv. 5, you know your HP DV is 0-3. That means your Attack DV must be an even number, because an odd Attack DV adds 8 to your HP DV. The only even number between 13 and 15 is 14, so you'd have 14 DV Attack and 13-14 DV Speed.
  57.  
  58. Other examples of using your HP DV:
  59. - You see 30 HP at Lv. 9. This means you have 15 DV HP, so all of your other DVs are odd.
  60. - You see 34 HP at Lv. 12 and 37 at Lv. 13. This means you have 6 HP DV, which corresponds to an even Attack DV, odd Defense, odd Speed and even Special. No other even/odd combination is possible.
  61.  
  62. With both your HP DV and Nidoran's limited Attack/Speed DV combinations, it's important to know how your stats as you level up correspond to certain DVs. Use this chart to find this information: https://www.dropbox.com/s/8c8k853mzm377oy/Nidoran%20DV%20chart.xls?dl=0
  63.  
  64. The most important levels to check stats:
  65. - Lv. 5 (10 Attack = reset)
  66. - Lv. 6 (11 Attack = reset)
  67. - Lv. 8 (14 Attack = reset)
  68. - Lv. 9 (18 Attack = 15 DV, so you don't have to worry too much about conserving Horn Attacks)
  69. - Lv. 10 (19 Attack = lead with Horn Attack on the second Caterpie and the Rattata; 17 Attack = reset unless good time or good Speed)
  70. - Lv. 12 (21 Speed = 15 DV, so you can get a Carbos for Agatha)
  71. - Lv. 13 (22 Speed = 13-15 DV, so you're faster than Starmie; 24 Attack = 14-15 DV)
  72. - Lv. 14 (20 Special = best damage range against Starmie, which aids riskier Mt. Moon strats)
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