Christmas puzzles

(1) Chanda,Sandipan - [+] 2009 1.Rd8+ Nc8 2.Rxc8+ Ka7 3.Rxc7+ [3.Kf7 a2 4.Rxc7+ Kb6 5.Rb7+ (5.Bxa2 Ra1-+ ) 5...Kxa6 6.Rb4 a1Q 7.Ra4+ Qxa4 8.Bxa4= ] 3...Kxa6 [3...Kb6 4.a7 Rg1+ 5.Kf7 c1Q 6.a8Q Kxc7 7.Qa7+ Kc8 8.Qd7+ Kb8 9.Qe8+ Kb7 10.Qxe7+ Ka6 11.Qb4+- ; 3...Kb8 4.Rxe7 Rg1+ 5.Kf7 c1Q 6.Rb7+ Ka8 7.e7+- ] 4.Rxc6+ Kb5 This is where the engines get tricked. [4...Kb7 5.Bd5 ; 4...Ka5 5.Kf7 ] 5.Rxc2! Rxc2 6.Bxc2 a2 7.Bd1!! a1Q 8.Bh5 Qh1 [8...Qg1+ 9.Bg6+- ] 9.Be8+ Kc5 10.h5+- 1-0

(2) Chanda,Sandipan - Constr 2009 Compose a position where White has only a bare king and Black has king and three pawns (no doubled pawns). It is Black to play and the result is a draw. Careful: some of my friends thought for a while and came up with tripled pawns! No, they are not allowed either. 1...Kg7 [1...Kh7 2.Kxg3 Kg6 transposes.] 2.Kxg3 Kg6! 3.Kg4! is mutual zugzwang. 3...h5+ 4.Kf4= In the initial position the white king can also be on h3. 1/2-1/2