Funny Chess problems

White to start and win;

White mates in 2 moves !

Mad rook ;

Black starts and white wins; black tries to draw with a suicide rook !

The mad rook ! Great positions in which for instance white is winning with great material advantage, but black is hoping for a draw by sacrificing his rook. In the position below black is aiming to draw by continuous checking the white king. The white king can not take the rook because its a draw then ! Black to move first ! Is this a draw or can white still win ?

Following is very interesting; white starts and wins but how ?

1.Ne2 h1D+ 2.Bxh1 Ra1+ 3.Kc2 Rc1+ 4.Kd3 Rd1+ 5.Ke4 Rd4+ 6.Ke5 Rd5+ 7.Ke6 Rd6+ 8.Kf7 Rf6+ 9.Ke8 Rf8+ 10.Ke7 Re8+ 11.Kd6 Re6+ 12.Kc5 Re5+ 13.Kc4 Re4+ 14.Kc3 Rxe3+ 15.Kd4 Rd3+ 16.Kc5 Rd5+ 17.Kb4 Rb5+ 18.Kc4 Rb4+ 19.Kd3 Rd4+ 20.Kc2 Rd2+ 21.Kb1 Rb2+ 22.Kc1 Rb1+ 23.Kd2 Rd1+ 24.Ke3 Rd3+ 25.Kf2 Rxf3+ 26.Ke1 Rf1+ 27.Kd2 Rd1+ 28.Kc3 Rd3+ 29.Kc4 Rc3+ 30.Kd5 Rd3+ 31.Kc6 Rd6+ 32.Kb5 Rb6+ 33.Kc5 Rb5+ 34.Kd6 Rd5+ 35.Ke7 Re5+ 36.Kd7 Rd5+ 37.Bxd5! Amazing !

This is a funny one ! Can you solve it ? Not to difficult if you use the rule of elimination.

And black annihilates the king side !

white to start and win, find the theme !

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