Puzzle #5 PBC

Difficulty : Very Hard. Black to play and force mate in 2 and 3. There are many variations. Send me all of them through private chat only or messages. All answers accepted only till 24 hours from now.

Ans: Qg3!!

Variation 1- fxg3, ne2+, kh1, rxf1#

Variation 2- hxg3, ne2#

Variation 3- Qxg3, ne2+, kh1, nxg3+, fxg3, rxf1#