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Helpmate in 2. (a) diagram, (b) c2 to g2.
The greater grasshopper is a piece like the grasshopper but able to act in any direction not just along queen lines, i.e. a universal fore-hopper. On the 8 by 8 board it is grasshopper + nightriderhopper + camelhopper + zebrahopper.
Solution:
(a) 1.Gc5 GGf8 (knight line) 2.Gd5 GGb2 (zebra line)‡
(b) 1.Gd5 GGd8 (knight line) 2.Gc5 GGb2 (camel line)‡
The same mate in each solution, with check along knight line.