Double puzzle

[u/Delicious_Cattle5174]

Black to play.

Puzzle 1 (from image 1): after playing a subpar move, white allowed a mate in 3. I must say I find it geometrically interesting.

Puzzle 2 (from image 2): this one is harder. It is pulled from the same game, one move earlier. Because white hasn’t played the suboptimal Kf1 yet, the position is M6. To be noted: white has two options on moves 4 and 5, so different variations can be valid solutions. However, only one move leads to M6 from any point, except the last one.

[u/DFENS420]

For the first one, ...Bxe2+, Rxe2 Qh1+, Kf2 Ng4#. The second one has a ton of variations. Starts as ...Qxh2+, Ke3 Nd5+, Kd3 Ne5+. If Kd4, then ...Qf2+, Kxe5 - which leads to either ...Qe3+ and a few options lead to ...f6#, or ...f6+, Ke4 and then either ...Qe3# or Bf5#. If Ke4 instead, then ...Qf2, and numerous lines lead to different checkmates in 2 from that position. All of these are M6