Sav
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Autobattle and Quick Battle are identical, except for:
1. Quick Battle cannot last longer than 30 rounds. When the 30th round arrives, the battle ends, and the victory is determined by an AI-vs-AI algorithm. The armies used for this calculation are those that were present before the battle began, but mana spent during the battle and destroyed war machines are not restored. I don't know if this will remove the "baratorch" effect (and whether it should – it's better to let the hero achieve an impossible victory (or defeat) in a battle, rather than have the game freeze). Removing it is very easy; bringing it to a reasonable state is difficult.
2. There are a couple of bugs and minor differences in Quick Battle. One of them – the only one that is truly significant – is the bug with flying units, which has already been fixed. The others are: the resurrection of phoenixes not working (after resurrection, they are considered alive, but their quantity is 0) – it's not very difficult to fix; the setting in the hero's window that disables tactics when it's enabled not working (probably doesn't need to be fixed); the cursor shadow being disabled (it seems to have been fixed in HD); and a couple of other things that, as far as I understand, can never manifest in a real battle (i.e., in Quick Battle).
I haven't noticed anything that would prevent obstacles from appearing in Quick Battle; it's possible that this was an isolated case related to point 3.
3. Random numbers in Autobattle and Quick Battle are generated differently.
If you press Q, the battle up to the point of pressing Q will be identical to a normal battle, and the battle after Q will be a Quick Battle (including if you let 30 rounds pass and then press Q – the battle will be calculated using the AI-vs-AI algorithm; you need to be careful with this and only use Q to end short battles).
Regarding how and where the generation of random numbers differs:
1. In Quick Battle – both online and offline – the same random numbers will be generated in the same battle, no matter how many times you replay it.
2. In Autobattle online, or in Autobattle online with the Q button pressed at any point, the same random numbers will be generated in the same battle (but these are different numbers than in Quick Battle). However, after pressing the Q button, the other differences of Quick Battle will start to take effect: the bug with the resurrection of phoenixes and the 30-round limit. The same random numbers will be in Autobattle offline if you press the Q button before any of the creatures start acting strangely.
3. In Autobattle offline, including with the Q button pressed after a certain number of strange actions, different random numbers will be generated each time you replay the battle.