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2Marmot:
I'm sorry to disappoint you – I'm not joking. This very freeze is what made me turn to the forum members for help. I don't have any earlier saves; this one has been with me since the end of August (by the way, the map started to lag somewhere around the 5th or 6th month, and it froze completely on the 11th). Regarding the minimum difficulty – for someone who started playing Heroes regularly six months ago (that's me), 80% on such a map is quite normal.
In general, thank you for your help.