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Excerpt from the description dated 05.06.07:
To collect as many skeletons as possible, you need to:
1) Lose as few of your own troops as possible.
2) Obtain 4 castles with necromancy boosters as early as possible.
3) Collect as many skeletons (rather than liches) as possible until Galtran's necromancy reaches 100% (after which you can restore liches without a second thought). To achieve this, you should consider the fact that when the hero's necromancy is less than 100%, it is better to restore liches from armies with at least 30 HP, and skeletons from armies such as other skeletons, zombies, or ghosts. This is a subtle point that may allow you to gather slightly more skeletons than if you only restored liches. BUT! Restore fewer liches, and subsequently, in battles with strong neutrals, you will lose more skeletons. So this point is so subtle that I didn't even bother with it and mostly restored liches. Yes, indeed, this situation somewhat resembles chess!
P.S.
Creatures destroyed: 3300+16319 = 19619.
Free creatures: starting amount — 10, skeletons in castles — 1648, pikemen — 2000, dragons — 500, phoenix — 1.
TOTAL: 4159.
Thus, if Galtran had 100% necromancy from the start, he could have collected (excluding losses): 19619+4159=23778 skeletons.
The number 23778 is fundamentally unattainable, even using any cheat codes, as achieving 100% necromancy would require fighting several battles at a necromancy level of less than 100%.
Creatures lost: 91+4=95.
Final number of skeletons for Galtran: 22659.
Maximum number of skeletons X that can be collected using any cheat codes:
1) Before starting any battles, build the necromancy booster and the Grail in the main castle.
2) Level up Galtran to expert necromancy.
This results in a necromancy level of 90%.
3) Immediately capture 1 castle (which will also have the Grail). Here we will lose 10 skeletons (100 creatures, and necromancy is 90%).
After this, Galtran's necromancy will reach 100%, and there will be no more skeleton losses.
Thus, using cheat codes, you can collect X=23768 skeletons.
Maximum number of skeletons Y that can be collected in a clean game, but without accounting for losses of your own troops:
I, for example, collected 22659 skeletons and lost 95, meaning that without accounting for losses, I would have had 22754 skeletons.
Thus, 22754 < X.
On the other hand, when recapturing the 1st castle, Galtran's maximum necromancy will be 60%, therefore, he will lose 40 skeletons during restoration and 6-7 skeletons from the towers in the castle.
When recapturing the 2nd castle, Galtran's maximum necromancy will be 80% (assuming the booster is built in the starting castle), therefore, he will lose another 20 skeletons during restoration and several creatures from the towers in the castle.
Until Galtran reaches expert necromancy, he will under-restore at least 100 skeletons from neutrals.
Plus, while breaking through to the 2nd castle, he will under-restore another 100 skeletons or so.
Provided there are no other troop losses (which is, in principle, impossible — additional losses are inevitable), Galtran will thus under-restore at least 260 skeletons.
So, 22754 < X < 23508.
I don't know how else to "narrow" this inequality.
Perhaps the results of the Tournaments will help ;), strengthening its left side.
The right side of the inequality can be strengthened with a more detailed calculation.
Maximum number of skeletons Z that can be collected in a clean game, accounting for losses of your own troops:
Here 22659 < X < 23450.
The number 23450 is based on the assumption that in any, even the most ideal Walkthrough, at least 58 creatures will be lost. If anyone loses fewer than this amount, it means they under-restored somewhere on the neutrals.
So these numbers are reliable.
Well then, from the calculations it follows that it is physically impossible to collect more than 23450 skeletons on this map! The number is exaggerated, of course, but what can be done — one doesn't want to provide unreliable information. And purely intuitively — my prediction is: there won't be more than 23100 skeletons!
I wonder if any of the chess players managed to hit 23000? ;)