Definitions: 
Functionary Chess : A piece can move only if it is threatened.
Grasshopper (G) : Moves along Q-lines over another unit of either color to the square immediately beyond that unit. A capture may be made on arrival, but the hurdle is not affected.
 
No.1418  Udo Degener Germany original – 07.07.2019 
 
Solutions:  (click to show/hide)
 
 
white Kg1 Sg4
black Kg3 Gb3h2
h#13.5          b) Gb3→h6          (4+6) 
 
a)
  1...Sg4-f2  2.Gh2-e2 Sf2-e4  3.Kg3-f3 Se4-d2  4.Kf3-e3 Sd2-c4  5.Ke3-d3 Sc4-e5 {
}  6.Kd3-d4 Se5-f3   7.Kd4-e3 Sf3-d2   8.Gb3-f3 Sd2-c4   9.Ke3-d3 Sc4-b2  10.Kd3-c3 Sb2-d1 +  {
} 11.Kc3-c2 Sd1-e3  12.Kc2-d2 Se3-f1  13.Kd2-e1 Sf1-d2  14.Gf3-d1 Sd2-f3 #
b) bGb3-->h6
  1...Sg4-e3   2.Gh2-f4 Se3-f5   3.Kg3-g4 Sf5-e3 +   4.Kg4-h3 Se3-g4   5.Gh6-e3 Sg4-f2  {
} 6.Kh3-g4 Kg1-h1   7.Kg4-f3 Sf2-g4   8.Ge3-g3 Sg4-e5 +   9.Kf3-e2 Se5-d3 10.Gf4-h2 Sd3-e1 {
} 11.Gh2-d2 Se1-f3  12.Gd2-f2 Sf3-g1  13.Ke2-f1 Sg1-e2  14.Gg3-e1 Se2-g3 # {
(C+ by Popeye 4.79) }
 
 
 
 
 
		
Piece count should be 2+3
2+3 per each twin makes total 4+6 🙂
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