#!ruby -pl a=[[0,1]] eval(gets).map{|i,j|v=i-u=k=2/i (k+=u=1 l=63 v=i 0until i>v*u=l>2?u*u%i*k**i[l-=1]:v%v=u)until i%4>2?a*=j/=2:u>0 j.times{a=(a|a.map(&:rotate)).map{|x,y|[(x*v-y*u).abs,x*u+y*v].sort}|[]}} $_=a.sort.map{|b|'%d^2 + %d^2'%b}*' = '