Sam has closed his piano and gone to bed ... now we can talk about the real stuff of life ... love, liberty and games such as Janus, Capablanca Random, Embassy Chess & the odd mention of other 10x8 variants is welcome too
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I don`t think that your both studies are correct.There are too many variations between the first and the last move.And if you perhaps know the four books of Andre Cheron - 1000 pages and one of the books is about queen-endings only- you can see that queen/onepawn against queenending mostly can be won if the pawn is near the promotionfield next to his own king.This position with the pawn at his startfield,the kings in two different corners should be draw.
Alike the second position:the material approximately is equal and either you can win at once by a tactical moment or - I think - you cannot force the win with this single piece.
Moreover I see in your solutions only one variation.I guess these moves are the suggestions of the "Gothic Vortex",but we know sometimes the programs have problems with some endings.Therefor I don`t trust them.
My personal opinion without complete analyzing,what would need too much time.
(peida) Kui Sa tahad kindla mängutasemega vastast, siis võid uue partii loomisel määrata tema BKR vahemiku. Siis teised mängijad ei näe ega saa seda kutset vastu võtta. (Katechka) (näita kõiki vihjeid)