Map Preferral System - Karvarousku

My thoughts on the new Map Preferral System

Got questions?

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WHAT IS IT
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* You can add "drop preference" multiplier to map or maps of a region, making them more likely to drop when a map of a specific tier drops
	- This account for ALL maps of the same tier, not just maps of the same region

* Up to 3 multiplier per region (so up to 24 total), and you can use all 3 multipliers however you want in that region
	- All 3 to one map
	- All 3 to different maps
	- 2 to one map, 1 to another

* Each multiplier is a 10x, so you can make a map 30x more likely to drop over other maps of the same tier's base chance
	- This allows for insane amount of map drops in some circumstances
	* For example, if you only have 2 maps able to drop, their normal distribution would be 1/2 and 1/2
		- By using all 3 orbs to one of the maps, it now has 30x the chance to drop over the other map, meaning the new chances are now 30/31 and 1/31

* You can switch very easily, for free
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HOW TO GET IT?
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You can ONLY get these multipliers from regions where you have completed ALL non-unique maps as follows;

* First with all maps completed
* Second with all maps completed with bonus objective
* Third with all maps completed with AWAKENING bonus objective

This means you won't be able to fully customize your map drops until you have done quite a bit of progress
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CALCULATING YOUR MAP DROP DISTRIBUTION CHANCE
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* First you have to look at how many maps you have on the tier of map you want to calculate
	- If you have 60 maps able to drop in that tier with no multipliers, that will be your DIVISOR
	- If you have multipliers (uncompleted or the new preferral), each maps weighting will added together sums your DIVISOR, and when all of their chances added together, you must get 1/1
		- Eg. you have 60 maps total with no multipliers, each has a 1/60 chance to drop. 1/60 * 60 = 60/60 or 1/1

* Now with adding weighting multipliers
	- Let's say those 60 maps are from 8 different regions, which gives us a total of 24 uses of the multiplier
	- First, let's only use 3 of those multipliers from a single region to bumb up our favourites map chance.
		- 30*1 means that our DIVIDEND will have to be 30 for our favourite map, and 1 for the other maps to keep the distribution correct
		- Now, as we added 29 new weighting (think about a basked with papers with the name of your fav map), we have to add that 29 to the DIVISOR
			-> With that, our chances are now 30/89 for our favourite map, and 1/89 for the rest of the 59.
				- When you sum 30/89 together with 1/89 * 59, we'll get 89/89
	* As you can see, you get much more of the map you want, however in this example (AL8) you will still be getting rest of the maps more often than your favourite

	- Now, let's add that 30x multiplier to one map that we really like from every region instead
		- We'll get 8 maps with DIVIDEND being 30, and 52 maps with 1.
		- We add 8*29 = 232 to our DIVISOR, making it 292
			- Now our chances for the maps to drop are as follows:
			30/292 for each of the preferred maps (adding to 240/292) and 1/292 for each of the remaining 52 maps that sum to 52/292. These two added together we get 292/292 or 1/1 again

	* This means that over 82% of the maps in that specific tier are maps we preferred, while still being in AL8, but we had to give up getting only one map in this case

	- Now let's drop our AL down so that only one region has maps from the tier we want, let's say it's T16, and there's a total of 4 maps of that tier
		- If we add all of the multipliers to one single map, the drop ratings would be 30/33 for the prefered, and 1/33 for the other three, making the sustain of that map incredibly high with AL6

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THINGS TO CONSIDER
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* Uncompleted bonus (2x) is multiplicitive with preference multiplier, so leaving a map uncompleted and running an adjacent map to it will highly increase it's drop rate, however any map in the same region won't be able to preferred either
	- This means maps connecting different regions can drop slightly more often if they're uncompleted, but nothing compared to the preferred maps

* BOSS BONUS DROP is affected by this
	* When you kill a boss in a map, it has a base 1/3 chance to drop AN ADJACENT map.
		- This chance can be increased by getting higher AL (added 1% per AL)
	* So if you run a map that is not adjacent to your preferred map, you won't be dropping that from the boss bonus drop, making the total distribution of maps in that tier not seem as insane as the numbers in the examples above were
	* However, if your preferred map IS adjacent to the other map you ran, it'll have vastly higher chance of dropping over the other adjacents, making running 2 adjacent maps frmo different regions with preference multiplier absolutely bonkers high

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SHOULD I ALWAYS FULLY COMPLETE MY ATLAS NOW?
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* In most cases, yes, eventually at least. It might take a while to get your Atlas to the state where you can truly minmax it with the preference system, as you need to run a lot of maps with AL8 with the correct tier
* So during early Atlas progression leaving undesired maps uncompleted is still potentially better
* In the cases where you want few specific maps of different tiers to drop in your Atlas, you will get higher sustain of those by not completing all maps
	- Eg you want 1x T14, 1x T15 and 1x T16 from 2 different regions. You can achieve 100% sustain of these 6 maps in those tiers by flip-flopping the watchstones.
		- You will lose 1 sextant as you have to go down from 4W to 3W to make those adjacent maps at that tier not drop, and potentially up to even ~40% or more bonus and awakening bonus objectives, depending on your setup. That means losing a lot of sustain from high tier map drops and getting less packsize and quantity from your map mods, and less master missions!
		- Master mission chance = 1% per 15 AO
		- Map mod effect 		= 1% per 6  AO