"[Analysis] Progress in Min-Maxing the PVP Meta"

#PokemonGO: Hello, hello.Long Posttl;dr: I present IV and Level combinations you want to have to maximize the value of your Pokemon with the CP limits in PVP, and I give you the top 20 Pokemon per min-max strategy per league.I did not want to limit myself to hitting 1500 or 2500 CP on the nose. That is the basis for all this work. That Pokemon may have stats that aren't 15 or 0 to perform better, an example is three paragraphs down.An oft-asked question is "What IVs do I want my Pokemon to have?" -- Is it 0/15/15 or 15/0/0?"What struck me is, maybe a 0/15/15 may be like a 1492 in CP and one attack IV puts it at 1500 exact -- you don't want to give up that IV.You may also see, with Venusaur, that it's maximum attack value for Great League (under 1500) comes at 13/0/0, not 15/0/0.So I sought to adapt an existing Stat table, which I had used for things like finding mons with CP 666 or otherwise looking up when people asked questions about Calcy being wrong, and add in a script to search for the maximum values that meet CP thresholds.I did work under an assumption. That the max values are found when CP is 1490-1500 or 2490-2500. It is possible there's a lurking CP 2489 that actually outperforms in terms of attack that I'm not aware of.So, the steps I took:1) Identify all IV combinations that produce a CP within 10 of the limit (Without going over). If there were none, I assumed it was because the mon even at Level 40 15/15/15 could not reach the cap -- I collected just that one IV combination as it's max potential.2) I then calculated the Attack, Defense, and Stamina for each mon at those IV combinations at the levels that meet the CP threshold. I then took the sum of all 3 stats -- think of this as an alternative CP, with no favoritism given to a stat -- and just the attack stat (as TSR has traditionally put a lot of emphasis on this; it is not clear if this is the right plan going forward. A post here details why it may not be!) moving forward.3) I found the maximum values, from both the Sum and from the Attack, and listed what IVs and at what Levels you obtain those while staying under the CP Limit.These lists are huge. They're linked above the list of top 20 mons. Here's how to read them.Bulbasaur Stat Total of 317: 15/15/15/Lv40.0 yields CP:1115 Attack of 105: 15/15/15/Lv40.0 yields CP:1115 In Bulba's instance, it can't reach 1500. So we just took the max possible allowed in-game of highest level, highest IVs. This says that at max level, Bulbasaur achieves a Stat total of 317, and an Attack of 105. (So defense+stamina make up 212 in this case.)Now it gets trickier.Ivysaur Stat Total of 371: 2/15/15/Lv37.0 yields CP:1499 1/15/12/Lv38.0 yields CP:1498 0/15/14/Lv38.0 yields CP:1497 0/14/15/Lv38.0 yields CP:1496 0/15/12/Lv38.5 yields CP:1499 0/14/13/Lv38.5 yields CP:1498 0/12/14/Lv38.5 yields CP:1493 0/13/14/Lv38.5 yields CP:1498 0/12/15/Lv38.5 yields CP:1498 0/14/11/Lv39.0 yields CP:1500 0/13/12/Lv39.0 yields CP:1500 0/10/15/Lv39.0 yields CP:1499 Attack of 129: 15/0/0/Lv38.0 yields CP:1499 First thing you'll notice: There's a lot more IV/level combinations for Ivysaur. What this says is that in the first block, all of those combinations will produce a sum of stats of 371. Maybe one is better than the other -- I did not take the time to calculate a bulk stat or which produces a higher attack stat amongst them. (Honestly, in practical terms, you shouldn't get too picky -- these mons are hard to find with the right IVs!)Second thing is that the IV/Level combo for the max Attack is not listed in the Max Stat. This is where you need to make choices in your strategy moving forward -- maximum stats, or maximum attack. Yes, there is only one combination for Ivysaur which produces an attack of 129. It cannot be any higher without going over the CP 1500 Cap.Venusaur Stat Total of 368: 0/14/11/Lv21.0 yields CP:1498 0/12/13/Lv21.0 yields CP:1498 Attack of 129: 13/0/0/Lv21.0 yields CP:1498 Similar to Ivysaur, but a lot smaller of a list. You'll notice none of the stats here are 15. And you'll notice that Ivysaur matches Venusaurs's max attack! And you'll further notice Ivysaur's sum of stats exceeds Venusaur's!This is where we start to apply this informationIvysaur looks like it can match or even outperform Venusaur in the Great League. But it takes a lot more dust and candy to get it to that level. So make that consideration for such a marginal gain.What does matter though are the moves. I don't personally know off-hand what attacks are better when considered alone, other than Snarl/Foul Play is better than Bite/Crunch. I don't know that Ivysaur or Venusaur even have different move options (besides Frenzy Plan Venu). But if Ivysaur has better moves, it is definitely worth considering using an Ivysaur over a Venusaur.This situation can apply to many NFE Pokemon where they can outperform their evolved forms.One additional thing to note is that many of these min-maxed stats feature a stat minimized to <4 IVs. That means weather boosted mons cannot be ideal -- in much the same way, eggs and raids and quests won't be either. This also means trading with Best Friends isn't going to produce the mon you want, and trading with Ultras likely isn't. In fact, so many of these have 0s that only the first trade between Brand New Friends could have a chance at the reroll being applicable for many Pokemon.It is going to take serious luck that you stumble across these mons, and at levels less than what they need to be to be maximized. (A level 25 13/0/0 Bulbasaur is too high level to be useful in Great League as a Venusaur.) For the hardcore player, your quest for perfection has begun anew.Great League: https://pastebin.com/UKMaT0dAUltra League: https://pastebin.com/Q5QHcen0And now, for a new list of the potential top Pokemon. If a Pokemon has terrible moves, it may well make them unviable. That consideration is not yet made.These are the Pokemon with the greatest Sum of Stats in Great League:1) Chansey at 5682) Blissey at 5073) Wobbuffet at 4674) Bastiodon at 4545) Wailord at 4325) Deoxys (Defense) at 4327) Shuckle at 4288) Umbreon at 4279) Munchlax at 42210) Wigglytuff at 42111) Registeel at 41911) Probopass at 41913) Cresselia at 41814) Azumarill at 41415) Wailmer at 41416) Steelix at 41117) Drifblim at 40918) Lanturn at 40819) Jumpluff at 40620) Dusclops at 405These are the Pokemon with the greatest Attacks in Great League:1) Deoxys (Attack) at 2832) Deoxys (Normal) at 206 (requires level <20 though)3) Sharpedo at 1794) Cranidos at 1785) Kadabra at 1766) Rampardos at 1737) Absol at 1678) Abra at 1659) Alakazam at 16410) Gengar at 16411) Alolan Dugtrio at 15911) Breloom at 15911) Azelf at 15914) Gastly at 15814) Honchkrow at 15816) Beautifly at 15716) Cacturne at 15718) Espeon at 15619) Banette at 15519) Porygon-Z at 15519) Darkrai at 155These are the Pokemon with the greatest Sum of Stats in Ultra League:1) Blissey at 6502) Chansey at 5683) Cresselia at 5404) Registeel at 5235) Regirock at 5205) Regice at 5207) Snorlax at 5198) Deoxys (Defense) at 5179) Lugia at 5169) Wailord at 51611) Lapras at 51312) Uxie at 51213) Giratina (Altered) at 51114) Steelix at 50815) Hariyama at 50516) Deoxys (Attack) at 50417) Drifblim at 50418) Suicune at 50319) Relicanth at 49920) Lickilicky at 496These are the Pokemon with the greatest Attacks in Ultra League1) Deoxys (Attack) at 3092) Deoxys (Normal) at 2673) Ramparados at 2234) Alakazam at 2135) Gengar at 2126) Absol at 2066) Azelf at 2068) Sharpedo at 2038) Honchkrow at 20310) Breloom at 20211) Espeon at 20112) Porygon-Z at 20012) Dakrai at 20013) Mewtwo at 19914) Lucario at 19815) Kingler at 19715) Blaziken at 19715) Rayquaza at 19718) Kadabra at 19518) Salamence at 19518) Electivire at 195What needs to happen moving forward is an analysis of the movesets ideal to each Pokemon in terms of typing/coverage, and compare their damage based on the stats listed in here. This may need to wait until PVP launches because of the two-charge moves and the charge meters not corresponding to what is known from mechanics today, as detailed here. But, here is such a post that ranks movesets.Edit: This submission was just made while I was typing up the post. A brilliant calculator that was made for this topic.Thanks for reading. via /r/TheSilphRoad https://www.reddit.com/r/TheSilphRoad/comments/a3d5ta/analysis_progress_in_minmaxing_the_pvp_meta/?utm_source=ifttt