Dexterina Womandark archrival they ve know since superintelligent teenage girl they ve try solve dispute peaceful nonviolent way after god know different challenge they ve give score equal they re desperately try good game wit this time Dexterina challenge Womandark game NimNim twoplayer game player turn remove object distinct heap on turn player remove object remove number object single heap the player can not turn lose by agreement size pile select randomly range 0x each pile size take independently probability distribution know start gamewomandark come brand new evil idea thwart Dexterinas plan have not get spare time she offer tip look fabulous exchange help win Nim your task tell probability player play win give rule