ZSS Hydra分析

本词条展示ZSS Hydra（左）与BMS（右）的对比分析。

p0=(0)
p0(p0)=(0)(1)
p0(p0+p0)=(0)(1)(1)
p0(p0(p0))=(0)(1)(2)
p0(p1)=(0,0)(1,1)
p0(p1+p0)=(0,0)(1,1)(1,0)
p0(p1+p0(p0))=(0,0)(1,1)(1,0)(2,0)
p0(p1+p0(p1))=(0,0)(1,1)(1,0)(2,1)
p0(p1+p0(p1)+p0(p1))=(0,0)(1,1)(1,0)(2,1)(1,0)(2,1)
p0(p1+p0(p1+p0))=(0,0)(1,1)(1,0)(2,1)(2,0)
p0(p1+p0(p1+p0(p1)))=(0,0)(1,1)(1,0)(2,1)(2,0)(3,1)
p0(p1+p1)=(0,0)(1,1)(1,1)
p0(p1+p1+p0(p1))=(0,0)(1,1)(1,1)(1,0)(2,1)
p0(p1+p1+p0(p1+p1))=(0,0)(1,1)(1,1)(1,0)(2,1)(2,1)
p0(p1+p1+p1)=(0,0)(1,1)(1,1)(1,1)
p0(p1(p0))=(0,0)(1,1)(2,0)
p0(p1(p0(p1)))=(0,0)(1,1)(2,0)(3,1)
p0(p1(p1))=(0,0)(1,1)(2,1)
p0(p1(p1)+p0(p1(p1)))=(0,0)(1,1)(2,1)(1,0)(2,1)(3,1)
p0(p1(p1)+p1)=(0,0)(1,1)(2,1)(1,1)
p0(p1(p1)+p1(p1))=(0,0)(1,1)(2,1)(1,1)(2,1)
p0(p1(p1+p1))=(0,0)(1,1)(2,1)(2,1)
p0(p1(p1(p0)))=(0,0)(1,1)(2,1)(3,0)
p0(p1(p1(p1)))=(0,0)(1,1)(2,1)(3,1)
p0(p1(p1(p1(p1))))=(0,0)(1,1)(2,1)(3,1)(4,1)
p0(p1(p1(p2)))=(0,0)(1,1)(2,2)
p0(p1(p1(p2))+p1)=(0,0)(1,1)(2,2)(1,1)
p0(p1(p1(p2))+p1(p1))=(0,0)(1,1)(2,2)(1,1)(2,1)
p0(p1(p1(p2))+p1(p1(p2)))=(0,0)(1,1)(2,2)(1,1)(2,2)
p0(p1(p1(p2)+p0))=(0,0)(1,1)(2,2)(2,0)
p0(p1(p1(p2)+p1))=(0,0)(1,1)(2,2)(2,1)
p0(p1(p1(p2)+p1(p2)))=(0,0)(1,1)(2,2)(2,1)(3,2)
p0(p1(p1(p2+p0)))=(0,0)(1,1)(2,2)(2,1)(3,2)(3,0)
p0(p1(p1(p2+p1)))=(0,0)(1,1)(2,2)(2,1)(3,2)(3,1)
p0(p1(p1(p2+p1(p2))))=(0,0)(1,1)(2,2)(2,1)(3,2)(3,1)(4,2)
p0(p1(p1(p2+p2)))=(0,0)(1,1)(2,2)(2,2)
p0(p1(p1(p2(p0))))=(0,0)(1,1)(2,2)(3,0)
p0(p1(p1(p2(p1))))=(0,0)(1,1)(2,2)(3,1)
p0(p1(p1(p2(p1(p1)))))=(0,0)(1,1)(2,2)(3,1)(4,1)
p0(p1(p1(p2(p1(p2)))))=(0,0)(1,1)(2,2)(3,1)(4,2)
p0(p1(p1(p2(p2))))=(0,0)(1,1)(2,2)(3,2)
p0(p1(p1(p2(p2(p2)))))=(0,0)(1,1)(2,2)(3,2)(4,2)
p0(p1(p1(p2(p2(p3)))))=(0,0)(1,1)(2,2)(3,3)
p0(p1(p1(p2(p2(p3))))+p1)=(0,0)(1,1)(2,2)(3,3)(1,1)
p0(p1(p1(p2(p2(p3))+p2)))=(0,0)(1,1)(2,2)(3,3)(2,2)
p0(p1(p1(p2(p2(p3+p3)))))=(0,0)(1,1)(2,2)(3,3)(3,3)
p0(p1(p1(p2(p2(p3(p3))))))=(0,0)(1,1)(2,2)(3,3)(4,3)
p0(p1(p1(p2(p2(p3(p3(p4)))))))=(0,0)(1,1)(2,2)(3,3)(4,4)
p0(p1(p2))=(0,0,0)(1,1,1)
p0(p1(p2)+p1)=(0,0,0)(1,1,1)(1,1,0)
p0(p1(p2)+p1(p1))=(0,0,0)(1,1,1)(1,1,0)(2,1,0)
p0(p1(p2)+p1(p1(p2)))=(0,0,0)(1,1,1)(1,1,0)(2,2,0)
p0(p1(p2)+p1(p1(p2(p2(p3)))))=(0,0,0)(1,1,1)(1,1,0)(2,2,0)(3,3,0)
p0(p1(p2)+p1(p1(p2(p3))))=(0,0,0)(1,1,1)(1,1,0)(2,2,1)
p0(p1(p2)+p1(p1(p2(p3))+p1))=(0,0,0)(1,1,1)(1,1,0)(2,2,1)(2,1,0)
p0(p1(p2)+p1(p1(p2(p3))+p1(p2(p3))))=(0,0,0)(1,1,1)(1,1,0)(2,2,1)(2,1,0)(3,2,1)
p0(p1(p2)+p1(p1(p2(p3)+p1)))=(0,0,0)(1,1,1)(1,1,0)(2,2,1)(2,1,0)(3,2,1)(3,1,0)
p0(p1(p2)+p1(p1(p2(p3)+p1(p2(p3)))))=(0,0,0)(1,1,1)(1,1,0)(2,2,1)(2,1,0)(3,2,1)(3,1,0)(4,2,1)
p0(p1(p2)+p1(p1(p2(p3)+p2)))=(0,0,0)(1,1,1)(1,1,0)(2,2,1)(2,2,0)
p0(p1(p2)+p1(p1(p2(p3)+p2(p2(p3)))))=(0,0,0)(1,1,1)(1,1,0)(2,2,1)(2,2,0)(3,3,0)
p0(p1(p2)+p1(p1(p2(p3)+p2(p2(p3(p4))))))=(0,0,0)(1,1,1)(1,1,0)(2,2,1)(2,2,0)(3,3,1)
p0(p1(p2)+p1(p2))=(0,0,0)(1,1,1)(1,1,1)
p0(p1(p2)+p1(p2)+p1(p2))=(0,0,0)(1,1,1)(1,1,1)(1,1,1)
p0(p1(p2+p0))=(0,0,0)(1,1,1)(2,0,0)
p0(p1(p2+p0)+p1(p1(p2(p3))))=(0,0,0)(1,1,1)(2,0,0)(1,1,0)(2,2,1)
p0(p1(p2+p0)+p1(p1(p2(p3+p0))))=(0,0,0)(1,1,1)(2,0,0)(1,1,0)(2,2,1)(3,0,0)
p0(p1(p2+p0)+p1(p1(p2(p3+p0)+p2)))=(0,0,0)(1,1,1)(2,0,0)(1,1,0)(2,2,1)(3,0,0)(2,2,0)
p0(p1(p2+p0)+p1(p2))=(0,0,0)(1,1,1)(2,0,0)(1,1,1)
p0(p1(p2+p0)+p1(p2+p0))=(0,0,0)(1,1,1)(2,0,0)(1,1,1)(2,0,0)
p0(p1(p2+p0+p0))=(0,0,0)(1,1,1)(2,0,0)(2,0,0)
p0(p1(p2+p0(p1(p2))))=(0,0,0)(1,1,1)(2,0,0)(3,1,1)
p0(p1(p2+p1))=(0,0,0)(1,1,1)(2,1,0)
p0(p1(p2+p1)+p1(p1(p2(p3))))=(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)
p0(p1(p2+p1)+p1(p1(p2(p3+p1))))=(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,1,0)
p0(p1(p2+p1)+p1(p1(p2(p3+p1))+p1))=(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,1,0)(2,1,0)
p0(p1(p2+p1)+p1(p1(p2(p3+p1))+p1(p2(p3+p1))))=(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,1,0)(2,1,0)(3,2,1)(4,1,0)
p0(p1(p2+p1)+p1(p1(p2(p3+p1)+p1)))=(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,1,0)(2,1,0)(3,2,1)(4,1,0)(3,1,0)
p0(p1(p2+p1)+p1(p1(p2(p3+p1)+p2)))=(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,1,0)(2,2,0)
p0(p1(p2+p1)+p1(p1(p2(p3+p1)+p2(p2(p3(p4+p1))))))=(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,1,0)(2,2,0)(3,3,1)(4,1,0)
p0(p1(p2+p1)+p1(p1(p2(p3+p1)+p2(p3))))=(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,1,0)(2,2,1)
p0(p1(p2+p1)+p1(p1(p2(p3+p1)+p2(p3+p1))))=(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,1,0)(2,2,1)(3,1,0)
p0(p1(p2+p1)+p1(p1(p2(p3+p1(p1)))))=(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,1,0)(4,1,0)
p0(p1(p2+p1)+p1(p1(p2(p3+p1(p2(p3))))))=(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,1,0)(4,2,1)
p0(p1(p2+p1)+p1(p1(p2(p3+p2))))=(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,2,0)
p0(p1(p2+p1)+p1(p1(p2(p3+p2)+p2)))=(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,2,0)(2,2,0)
p0(p1(p2+p1)+p1(p1(p2(p3+p2)+p2(p2(p3(p4+p3))))))=(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,2,0)(2,2,0)(3,3,1)(4,3,0)
p0(p1(p2+p1)+p1(p2))=(0,0,0)(1,1,1)(2,1,0)(1,1,1)
p0(p1(p2+p1)+p1(p2)+p1(p2))=(0,0,0)(1,1,1)(2,1,0)(1,1,1)(1,1,1)
p0(p1(p2+p1)+p1(p2+p1))=(0,0,0)(1,1,1)(2,1,0)(1,1,1)(2,1,0)
p0(p1(p2+p1)+p1(p2+p1)+p1(p2))=(0,0,0)(1,1,1)(2,1,0)(1,1,1)(2,1,0)(1,1,1)
p0(p1(p2+p1+p1)+p1(p2))=(0,0,0)(1,1,1)(2,1,0)(2,1,0)(1,1,1)
p0(p1(p2+p1(p1))+p1(p2))=(0,0,0)(1,1,1)(2,1,0)(3,1,0)(1,1,1)
p0(p1(p2+p1(p1(p2))))=(0,0,0)(1,1,1)(2,1,0)(3,2,0)
p0(p1(p2+p1(p1(p2))+p1(p1(p2))))=(0,0,0)(1,1,1)(2,1,0)(3,2,0)(2,1,0)(3,2,0)
p0(p1(p2+p1(p1(p2)+p1(p2))))=(0,0,0)(1,1,1)(2,1,0)(3,2,0)(3,1,0)(4,2,0)
p0(p1(p2+p1(p1(p2+p1(p2)))))=(0,0,0)(1,1,1)(2,1,0)(3,2,0)(3,1,0)(4,2,0)(4,1,0)(5,2,0)
p0(p1(p2+p1(p1(p2+p2))))=(0,0,0)(1,1,1)(2,1,0)(3,2,0)(3,2,0)
p0(p1(p2+p1(p1(p2(p2)))))=(0,0,0)(1,1,1)(2,1,0)(3,2,0)(4,2,0)
p0(p1(p2+p1(p1(p2(p2(p3))))))=(0,0,0)(1,1,1)(2,1,0)(3,2,0)(4,3,0)
p0(p1(p2+p1(p1(p2(p3)))))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)
p0(p1(p2+p1(p1(p2(p3)))+p1(p1(p2(p3)))))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)(2,1,0)(3,2,1)
p0(p1(p2+p1(p1(p2(p3))+p1)))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)(3,1,0)
p0(p1(p2+p1(p1(p2(p3))+p1(p2(p3)))))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)(3,1,0)(4,2,1)
p0(p1(p2+p1(p1(p2(p3)+p1(p2(p3))))))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)(3,1,0)(4,2,1)(4,1,0)(5,2,1)
p0(p1(p2+p1(p1(p2(p3)+p2))))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)(3,2,0)
p0(p1(p2+p1(p1(p2(p3)+p2(p2(p3(p4)))))))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)(3,2,0)(4,3,1)
p0(p1(p2+p1(p1(p2(p3)+p2(p3)))))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)(3,2,1)
p0(p1(p2+p1(p1(p2(p3+p1)))))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,1,0)
p0(p1(p2+p1(p1(p2(p3+p1))))+p1(p2))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,1,0)(1,1,1)
p0(p1(p2+p1(p1(p2(p3+p1)+p2(p3)))))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,1,0)(3,2,1)
p0(p1(p2+p1(p1(p2(p3+p2)))))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0)
p0(p1(p2+p1(p1(p2(p3+p2)+p2(p2(p3(p4)))))))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0)(3,2,0)(4,3,1)
p0(p1(p2+p1(p1(p2(p3+p2)+p2(p2(p3(p4+p2)))))))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0)(3,2,0)(4,3,1)(5,2,0)
p0(p1(p2+p1(p1(p2(p3+p2)+p2(p2(p3(p4+p3)))))))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0)(3,2,0)(4,3,1)(5,3,0)
p0(p1(p2+p1(p1(p2(p3+p2)+p2(p3)))))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0)(3,2,1)
p0(p1(p2+p1(p1(p2(p3+p2(p2))))))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0)(5,2,0)
p0(p1(p2+p1(p1(p2(p3+p2(p2(p3)))))))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0)(5,3,0)
p0(p1(p2+p1(p1(p2(p3+p2(p2(p3(p4))))))))=(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0)(5,3,1)
p0(p1(p2+p1(p2)))=(0,0,0)(1,1,1)(2,1,1)
p0(p1(p2+p1(p2))+p1(p2))=(0,0,0)(1,1,1)(2,1,1)(1,1,1)
p0(p1(p2+p1(p2))+p1(p2+p1(p1(p2))))=(0,0,0)(1,1,1)(2,1,1)(1,1,1)(2,1,0)(3,2,0)
p0(p1(p2+p1(p2))+p1(p2+p1(p1(p2(p3)))))=(0,0,0)(1,1,1)(2,1,1)(1,1,1)(2,1,0)(3,2,1)
p0(p1(p2+p1(p2))+p1(p2+p1(p1(p2(p3+p2(p3))))))=(0,0,0)(1,1,1)(2,1,1)(1,1,1)(2,1,0)(3,2,1)(4,2,1)
p0(p1(p2+p1(p2))+p1(p2+p1(p2)))=(0,0,0)(1,1,1)(2,1,1)(1,1,1)(2,1,1)
p0(p1(p2+p1(p2)+p1))=(0,0,0)(1,1,1)(2,1,1)(2,1,0)
p0(p1(p2+p1(p2)+p1)+p1(p2))=(0,0,0)(1,1,1)(2,1,1)(2,1,0)(1,1,1)
p0(p1(p2+p1(p2)+p1)+p1(p2+p1(p2)))=(0,0,0)(1,1,1)(2,1,1)(2,1,0)(1,1,1)(2,1,1)
p0(p1(p2+p1(p2)+p1(p1))+p1(p2+p1(p2)))=(0,0,0)(1,1,1)(2,1,1)(2,1,0)(3,1,0)(1,1,1)(2,1,1)
p0(p1(p2+p1(p2)+p1(p1(p2))))=(0,0,0)(1,1,1)(2,1,1)(2,1,0)(3,2,0)
p0(p1(p2+p1(p2)+p1(p1(p2(p3)))))=(0,0,0)(1,1,1)(2,1,1)(2,1,0)(3,2,1)
p0(p1(p2+p1(p2)+p1(p1(p2(p3+p2(p3))))))=(0,0,0)(1,1,1)(2,1,1)(2,1,0)(3,2,1)(4,2,1)
p0(p1(p2+p1(p2)+p1(p2)))=(0,0,0)(1,1,1)(2,1,1)(2,1,1)
p0(p1(p2+p1(p2+p1)))=(0,0,0)(1,1,1)(2,1,1)(3,1,0)
p0(p1(p2+p1(p2+p1))+p1(p2))=(0,0,0)(1,1,1)(2,1,1)(3,1,0)(1,1,1)
p0(p1(p2+p1(p2+p1))+p1(p2+p1(p2)))=(0,0,0)(1,1,1)(2,1,1)(3,1,0)(1,1,1)(2,1,1)
p0(p1(p2+p1(p2+p1))+p1(p2+p1(p2+p1)))=(0,0,0)(1,1,1)(2,1,1)(3,1,0)(1,1,1)(2,1,1)(3,1,0)
p0(p1(p2+p1(p2+p1)+p0))=(0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,0,0)
p0(p1(p2+p1(p2+p1)+p1))=(0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)
p0(p1(p2+p1(p2+p1)+p1(p1(p2(p3)))))=(0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)
p0(p1(p2+p1(p2+p1)+p1(p1(p2(p3+p2(p3+p1))))))=(0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,1,0)
p0(p1(p2+p1(p2+p1)+p1(p1(p2(p3+p2(p3+p2))))))=(0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)
p0(p1(p2+p1(p2+p1)+p1(p1(p2(p3+p2(p3+p2))+p2(p3)))))=(0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(3,2,1)
p0(p1(p2+p1(p2+p1)+p1(p1(p2(p3+p2(p3+p2)+p0)))))=(0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,0)(3,2,1)(4,2,1)(5,2,0)(4,0,0)
p0(p1(p2+p1(p2+p1)+p1(p2)))=(0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)
p0(p1(p2+p1(p2+p1)+p1(p2+p1)))=(0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)
p0(p1(p2+p1(p2+p1)+p1(p2+p1)+p0))=(0,0,0)(1,1,1)(2,1,1)(3,1,0)(2,1,1)(3,1,0)(2,0,0)
p0(p1(p2+p1(p2+p1+p1)))=(0,0,0)(1,1,1)(2,1,1)(3,1,0)(3,1,0)
p0(p1(p2+p1(p2+p1(p1))))=(0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,1,0)
p0(p1(p2+p1(p2+p1(p1(p2(p3))))))=(0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)
p0(p1(p2+p1(p2+p1(p1(p2(p3+p2(p3+p2)))))))=(0,0,0)(1,1,1)(2,1,1)(3,1,0)(4,2,1)(5,2,1)(6,2,0)
p0(p1(p2+p1(p2+p1(p2))))=(0,0,0)(1,1,1)(2,1,1)(3,1,1)
p0(p1(p2+p1(p2+p1(p2)))+p1(p2))=(0,0,0)(1,1,1)(2,1,1)(3,1,1)(1,1,1)
p0(p1(p2+p1(p2+p1(p2))+p1(p2)))=(0,0,0)(1,1,1)(2,1,1)(3,1,1)(2,1,1)
p0(p1(p2+p1(p2+p1(p2)+p1(p2))))=(0,0,0)(1,1,1)(2,1,1)(3,1,1)(3,1,1)
p0(p1(p2+p1(p2+p1(p2+p1(p2)))))=(0,0,0)(1,1,1)(2,1,1)(3,1,1)(4,1,1)
p0(p1(p2+p1(p2+p2)))=(0,0,0)(1,1,1)(2,2,0)
p0(p1(p2+p1(p2+p2))+p1(p2))=(0,0,0)(1,1,1)(2,2,0)(1,1,1)
p0(p1(p2+p1(p2+p2))+p1(p2+p1(p2)))=(0,0,0)(1,1,1)(2,2,0)(1,1,1)(2,1,1)
p0(p1(p2+p1(p2+p2))+p1(p2+p1(p2+p2)))=(0,0,0)(1,1,1)(2,2,0)(1,1,1)(2,2,0)
p0(p1(p2+p1(p2+p2)+p1))=(0,0,0)(1,1,1)(2,2,0)(2,1,0)
p0(p1(p2+p1(p2+p2)+p1)+p1(p2+p1(p2+p2)))=(0,0,0)(1,1,1)(2,2,0)(2,1,0)(1,1,1)(2,2,0)
p0(p1(p2+p1(p2+p2)+p1(p2)))=(0,0,0)(1,1,1)(2,2,0)(2,1,1)
p0(p1(p2+p1(p2+p2)+p1(p2+p1(p2))))=(0,0,0)(1,1,1)(2,2,0)(2,1,1)(3,1,1)
p0(p1(p2+p1(p2+p2)+p1(p2+p2)))=(0,0,0)(1,1,1)(2,2,0)(2,1,1)(3,2,0)
p0(p1(p2+p1(p2+p2+p1)))=(0,0,0)(1,1,1)(2,2,0)(2,1,1)(3,2,0)(3,1,0)
p0(p1(p2+p1(p2+p2+p1(p2))))=(0,0,0)(1,1,1)(2,2,0)(2,1,1)(3,2,0)(3,1,1)
p0(p1(p2+p1(p2+p2+p1(p2+p2))))=(0,0,0)(1,1,1)(2,2,0)(2,1,1)(3,2,0)(3,1,1)(4,2,0)
p0(p1(p2+p1(p2+p2+p2)))=(0,0,0)(1,1,1)(2,2,0)(2,2,0)
p0(p1(p2+p1(p2(p1))))=(0,0,0)(1,1,1)(2,2,0)(3,1,0)
p0(p1(p2+p1(p2(p1))+p0))=(0,0,0)(1,1,1)(2,2,0)(3,1,0)(2,0,0)
p0(p1(p2+p1(p2(p1))+p1(p2)))=(0,0,0)(1,1,1)(2,2,0)(3,1,0)(2,1,1)
p0(p1(p2+p1(p2(p1))+p1(p2+p2)))=(0,0,0)(1,1,1)(2,2,0)(3,1,0)(2,1,1)(3,2,0)
p0(p1(p2+p1(p2(p1))+p1(p2(p1))))=(0,0,0)(1,1,1)(2,2,0)(3,1,0)(2,1,1)(3,2,0)(4,1,0)
p0(p1(p2+p1(p2(p1)+p1(p2(p1)))))=(0,0,0)(1,1,1)(2,2,0)(3,1,0)(2,1,1)(3,2,0)(4,1,0)(3,1,1)(4,2,0)(5,1,0)
p0(p1(p2+p1(p2(p1)+p2)))=(0,0,0)(1,1,1)(2,2,0)(3,1,0)(2,2,0)
p0(p1(p2+p1(p2(p1(p1(p2(p3)))))))=(0,0,0)(1,1,1)(2,2,0)(3,1,0)(4,2,1)
p0(p1(p2+p1(p2(p1(p1(p2(p3+p2(p3+p3))))))))=(0,0,0)(1,1,1)(2,2,0)(3,1,0)(4,2,1)(5,3,0)
p0(p1(p2+p1(p2(p1(p2)))))=(0,0,0)(1,1,1)(2,2,0)(3,1,1)
p0(p1(p2+p1(p2(p1(p2)))+p1))=(0,0,0)(1,1,1)(2,2,0)(3,1,1)(2,1,1)
p0(p1(p2+p1(p2(p1(p2)))+p1(p2(p1(p2)))))=(0,0,0)(1,1,1)(2,2,0)(3,1,1)(2,1,1)(3,2,0)(4,1,1)
p0(p1(p2+p1(p2(p1(p2))+p1)))=(0,0,0)(1,1,1)(2,2,0)(3,1,1)(2,1,1)(3,2,0)(4,1,1)(3,1,1)
p0(p1(p2+p1(p2(p1(p2))+p1(p2(p1(p2))))))=(0,0,0)(1,1,1)(2,2,0)(3,1,1)(2,1,1)(3,2,0)(4,1,1)(3,1,1)(4,2,0)(5,1,1)
p0(p1(p2+p1(p2(p1(p2))+p2)))=(0,0,0)(1,1,1)(2,2,0)(3,1,1)(2,2,0)
p0(p1(p2+p1(p2(p1(p2))+p2(p1(p2)))))=(0,0,0)(1,1,1)(2,2,0)(3,1,1)(2,2,0)(3,1,1)
p0(p1(p2+p1(p2(p1(p2)+p1(p2)))))=(0,0,0)(1,1,1)(2,2,0)(3,1,1)(3,1,1)
p0(p1(p2+p1(p2(p1(p2+p1(p2))))))=(0,0,0)(1,1,1)(2,2,0)(3,1,1)(4,1,1)
p0(p1(p2+p1(p2(p1(p2+p2)))))=(0,0,0)(1,1,1)(2,2,0)(3,1,1)(4,2,0)
p0(p1(p2+p1(p2(p1(p2+p2))+p2)))=(0,0,0)(1,1,1)(2,2,0)(3,1,1)(4,2,0)(2,2,0)
p0(p1(p2+p1(p2(p1(p2+p2)+p1(p2+p2)))))=(0,0,0)(1,1,1)(2,2,0)(3,1,1)(4,2,0)(3,1,1)(4,2,0)
p0(p1(p2+p1(p2(p1(p2+p2+p1(p2+p2))))))=(0,0,0)(1,1,1)(2,2,0)(3,1,1)(4,2,0)(4,1,1)(5,2,0)
p0(p1(p2+p1(p2(p1(p2+p2+p2)))))=(0,0,0)(1,1,1)(2,2,0)(3,1,1)(4,2,0)(4,2,0)
p0(p1(p2+p1(p2(p1(p2(p1))))))=(0,0,0)(1,1,1)(2,2,0)(3,1,1)(4,2,0)(5,1,0)
p0(p1(p2+p1(p2(p1(p2(p1(p1(p2(p3)))))))))=(0,0,0)(1,1,1)(2,2,0)(3,1,1)(4,2,0)(5,1,0)(6,2,1)
p0(p1(p2+p1(p2(p1(p2(p1(p2)))))))=(0,0,0)(1,1,1)(2,2,0)(3,1,1)(4,2,0)(5,1,1)
p0(p1(p2+p1(p2(p1(p2(p1(p2+p2)))))))=(0,0,0)(1,1,1)(2,2,0)(3,1,1)(4,2,0)(5,1,1)(6,2,0)
p0(p1(p2+p1(p2(p2))))=(0,0,0)(1,1,1)(2,2,0)(3,2,0)
p0(p1(p2+p1(p2(p2)))+p1(p2+p1(p2+p2)))=(0,0,0)(1,1,1)(2,2,0)(3,2,0)(1,1,1)(2,2,0)(3,2,0)
p0(p1(p2+p1(p2(p2))+p1(p2+p2)))=(0,0,0)(1,1,1)(2,2,0)(3,2,0)(2,1,1)(3,2,0)
p0(p1(p2+p1(p2(p2))+p1(p2(p2))))=(0,0,0)(1,1,1)(2,2,0)(3,2,0)(2,1,1)(3,2,0)(4,2,0)
p0(p1(p2+p1(p2(p2)+p1)))=(0,0,0)(1,1,1)(2,2,0)(3,2,0)(2,1,1)(3,2,0)(4,2,0)(3,1,1)
p0(p1(p2+p1(p2(p2)+p2)))=(0,0,0)(1,1,1)(2,2,0)(3,2,0)(2,2,0)
p0(p1(p2+p1(p2(p2)+p2(p2))))=(0,0,0)(1,1,1)(2,2,0)(3,2,0)(2,2,0)(3,2,0)
p0(p1(p2+p1(p2(p2+p1))))=(0,0,0)(1,1,1)(2,2,0)(3,2,0)(3,1,0)
p0(p1(p2+p1(p2(p2+p1(p2)))))=(0,0,0)(1,1,1)(2,2,0)(3,2,0)(3,1,1)
p0(p1(p2+p1(p2(p2+p1(p2+p2)))))=(0,0,0)(1,1,1)(2,2,0)(3,2,0)(3,1,1)(4,2,0)
p0(p1(p2+p1(p2(p2+p1(p2(p2))))))=(0,0,0)(1,1,1)(2,2,0)(3,2,0)(3,1,1)(4,2,0)(5,2,0)
p0(p1(p2+p1(p2(p2+p2))))=(0,0,0)(1,1,1)(2,2,0)(3,2,0)(3,2,0)
p0(p1(p2+p1(p2(p2(p1(p2))))))=(0,0,0)(1,1,1)(2,2,0)(3,2,0)(4,1,1)
p0(p1(p2+p1(p2(p2(p1(p2+p2))))))=(0,0,0)(1,1,1)(2,2,0)(3,2,0)(4,1,1)(5,2,0)
p0(p1(p2+p1(p2(p2(p1(p2(p2)))))))=(0,0,0)(1,1,1)(2,2,0)(3,2,0)(4,1,1)(5,2,0)(6,2,0)
p0(p1(p2+p1(p2(p2(p1(p2(p2(p1(p2)))))))))=(0,0,0)(1,1,1)(2,2,0)(3,2,0)(4,1,1)(5,2,0)(6,2,0)(7,1,1)
p0(p1(p2+p1(p2(p2(p2)))))=(0,0,0)(1,1,1)(2,2,0)(3,2,0)(4,2,0)
p0(p1(p2+p1(p2(p2(p2(p2))))))=(0,0,0)(1,1,1)(2,2,0)(3,2,0)(4,2,0)(5,2,0)
p0(p1(p2+p1(p2(p2(p3)))))=(0,0,0)(1,1,1)(2,2,0)(3,3,0)
p0(p1(p2+p1(p2(p2(p3(p4))))))=(0,0,0)(1,1,1)(2,2,0)(3,3,1)
p0(p1(p2+p1(p2(p2(p3(p4)+p3(p4))))))=(0,0,0)(1,1,1)(2,2,0)(3,3,1)(3,3,1)
p0(p1(p2+p1(p2(p2(p3(p4+p1))))))=(0,0,0)(1,1,1)(2,2,0)(3,3,1)(4,1,0)
p0(p1(p2+p1(p2(p2(p3(p4+p3))))))=(0,0,0)(1,1,1)(2,2,0)(3,3,1)(4,3,0)
p0(p1(p2+p1(p2(p2(p3(p4+p3)+p3(p4))))))=(0,0,0)(1,1,1)(2,2,0)(3,3,1)(4,3,0)(3,3,1)
p0(p1(p2+p1(p2(p2(p3(p4+p3(p4)))))))=(0,0,0)(1,1,1)(2,2,0)(3,3,1)(4,3,1)
p0(p1(p2+p1(p2(p2(p3(p4+p3(p4+p4)))))))=(0,0,0)(1,1,1)(2,2,0)(3,3,1)(4,4,0)
p0(p1(p2+p1(p2(p2(p3(p4+p3(p4(p4))))))))=(0,0,0)(1,1,1)(2,2,0)(3,3,1)(4,4,0)(5,4,0)
p0(p1(p2+p1(p2(p2(p3(p4+p3(p4(p4(p5)))))))))=(0,0,0)(1,1,1)(2,2,0)(3,3,1)(4,4,0)(5,5,0)
p0(p1(p2+p1(p2(p2(p3(p4+p3(p4(p4(p5(p6))))))))))=(0,0,0)(1,1,1)(2,2,0)(3,3,1)(4,4,0)(5,5,1)
p0(p1(p2+p1(p2(p3))))=(0,0,0)(1,1,1)(2,2,1)
p0(p1(p2+p1(p2(p3)))+p1(p2+p1(p2+p2)))=(0,0,0)(1,1,1)(2,2,1)(1,1,1)(2,2,0)
p0(p1(p2+p1(p2(p3)))+p1(p2+p1(p2(p2))))=(0,0,0)(1,1,1)(2,2,1)(1,1,1)(2,2,0)(3,2,0)
p0(p1(p2+p1(p2(p3)))+p1(p2+p1(p2(p2(p3(p4))))))=(0,0,0)(1,1,1)(2,2,1)(1,1,1)(2,2,0)(3,3,1)
p0(p1(p2+p1(p2(p3)))+p1(p2+p1(p2(p2(p3(p4+p3(p4(p5))))))))=(0,0,0)(1,1,1)(2,2,1)(1,1,1)(2,2,0)(3,3,1)(4,4,1)
p0(p1(p2+p1(p2(p3)))+p1(p2+p1(p2(p3))))=(0,0,0)(1,1,1)(2,2,1)(1,1,1)(2,2,1)
p0(p1(p2+p1(p2(p3))+p1))=(0,0,0)(1,1,1)(2,2,1)(2,1,0)
p0(p1(p2+p1(p2(p3))+p1)+p1(p2+p1(p2(p3))))=(0,0,0)(1,1,1)(2,2,1)(2,1,0)(1,1,1)(2,2,1)
p0(p1(p2+p1(p2(p3))+p1(p2)))=(0,0,0)(1,1,1)(2,2,1)(2,1,1)
p0(p1(p2+p1(p2(p3))+p1(p2+p2)))=(0,0,0)(1,1,1)(2,2,1)(2,1,1)(3,2,0)
p0(p1(p2+p1(p2(p3))+p1(p2(p2))))=(0,0,0)(1,1,1)(2,2,1)(2,1,1)(3,2,0)(4,2,0)
p0(p1(p2+p1(p2(p3))+p1(p2(p2(p3(p4))))))=(0,0,0)(1,1,1)(2,2,1)(2,1,1)(3,2,0)(4,3,1)
p0(p1(p2+p1(p2(p3))+p1(p2(p2(p3(p4+p3(p4(p5))))))))=(0,0,0)(1,1,1)(2,2,1)(2,1,1)(3,2,0)(4,3,1)(5,4,1)
p0(p1(p2+p1(p2(p3))+p1(p2(p3))))=(0,0,0)(1,1,1)(2,2,1)(2,1,1)(3,2,1)
p0(p1(p2+p1(p2(p3)+p1)))=(0,0,0)(1,1,1)(2,2,1)(2,1,1)(3,2,1)(3,1,0)
p0(p1(p2+p1(p2(p3)+p1(p2))))=(0,0,0)(1,1,1)(2,2,1)(2,1,1)(3,2,1)(3,1,1)
p0(p1(p2+p1(p2(p3)+p1(p2+p2))))=(0,0,0)(1,1,1)(2,2,1)(2,1,1)(3,2,1)(3,1,1)(4,2,0)
p0(p1(p2+p1(p2(p3)+p1(p2(p2(p3(p4)))))))=(0,0,0)(1,1,1)(2,2,1)(2,1,1)(3,2,1)(3,1,1)(4,2,0)(5,3,1)
p0(p1(p2+p1(p2(p3)+p1(p2(p3)))))=(0,0,0)(1,1,1)(2,2,1)(2,1,1)(3,2,1)(3,1,1)(4,2,1)
p0(p1(p2+p1(p2(p3)+p1(p2(p3))+p1(p2(p3)))))=(0,0,0)(1,1,1)(2,2,1)(2,1,1)(3,2,1)(3,1,1)(4,2,1)(3,1,1)(4,2,1)
p0(p1(p2+p1(p2(p3)+p1(p2(p3)+p1(p2)))))=(0,0,0)(1,1,1)(2,2,1)(2,1,1)(3,2,1)(3,1,1)(4,2,1)(4,1,1)
p0(p1(p2+p1(p2(p3)+p1(p2(p3)+p1(p2(p3))))))=(0,0,0)(1,1,1)(2,2,1)(2,1,1)(3,2,1)(3,1,1)(4,2,1)(4,1,1)(5,2,1)
p0(p1(p2+p1(p2(p3)+p2)))=(0,0,0)(1,1,1)(2,2,1)(2,2,0)
p0(p1(p2+p1(p2(p3)+p2(p2))))=(0,0,0)(1,1,1)(2,2,1)(2,2,0)(3,2,0)
p0(p1(p2+p1(p2(p3)+p2(p2(p3(p4))))))=(0,0,0)(1,1,1)(2,2,1)(2,2,0)(3,3,1)
p0(p1(p2+p1(p2(p3)+p2(p2(p3(p4+p3(p4(p5))))))))=(0,0,0)(1,1,1)(2,2,1)(2,2,0)(3,3,1)(4,4,1)
p0(p1(p2+p1(p2(p3)+p2(p3))))=(0,0,0)(1,1,1)(2,2,1)(2,2,1)
p0(p1(p2+p1(p2(p3+p0))))=(0,0,0)(1,1,1)(2,2,1)(3,0,0)
p0(p1(p2+p1(p2(p3+p1(p2)))))=(0,0,0)(1,1,1)(2,2,1)(3,1,1)
p0(p1(p2+p1(p2(p3+p1(p2+p2)))))=(0,0,0)(1,1,1)(2,2,1)(3,1,1)(4,2,0)
p0(p1(p2+p1(p2(p3+p1(p2(p2(p3(p4))))))))=(0,0,0)(1,1,1)(2,2,1)(3,1,1)(4,2,0)(5,3,1)
p0(p1(p2+p1(p2(p3+p1(p2(p3))))))=(0,0,0)(1,1,1)(2,2,1)(3,1,1)(4,2,1)
p0(p1(p2+p1(p2(p3+p1(p2(p3))+p1(p2(p3))))))=(0,0,0)(1,1,1)(2,2,1)(3,1,1)(4,2,1)(3,1,1)(4,2,1)
p0(p1(p2+p1(p2(p3+p1(p2(p3)+p1(p2))))))=(0,0,0)(1,1,1)(2,2,1)(3,1,1)(4,2,1)(4,1,1)
p0(p1(p2+p1(p2(p3+p1(p2(p3)+p1(p2(p3)))))))=(0,0,0)(1,1,1)(2,2,1)(3,1,1)(4,2,1)(4,1,1)(5,2,1)
p0(p1(p2+p1(p2(p3+p1(p2(p3)+p2)))))=(0,0,0)(1,1,1)(2,2,1)(3,1,1)(4,2,1)(4,2,0)
p0(p1(p2+p1(p2(p3+p1(p2(p3)+p2(p3))))))=(0,0,0)(1,1,1)(2,2,1)(3,1,1)(4,2,1)(4,2,1)
p0(p1(p2+p1(p2(p3+p1(p2(p3+p1(p2)))))))=(0,0,0)(1,1,1)(2,2,1)(3,1,1)(4,2,1)(5,1,1)
p0(p1(p2+p1(p2(p3+p1(p2(p3+p1(p2(p3))))))))=(0,0,0)(1,1,1)(2,2,1)(3,1,1)(4,2,1)(5,1,1)(6,2,1)
p0(p1(p2+p1(p2(p3+p2))))=(0,0,0)(1,1,1)(2,2,1)(3,2,0)
p0(p1(p2+p1(p2(p3+p2)+p2(p2(p3(p4+p3(p4(p5))))))))=(0,0,0)(1,1,1)(2,2,1)(3,2,0)(2,2,0)(3,3,1)(4,4,1)
p0(p1(p2+p1(p2(p3+p2)+p2(p2(p3(p4+p3(p4(p5+p2))))))))=(0,0,0)(1,1,1)(2,2,1)(3,2,0)(2,2,0)(3,3,1)(4,4,1)(5,2,0)
p0(p1(p2+p1(p2(p3+p2)+p2(p2(p3(p4+p3(p4(p5+p4))))))))=(0,0,0)(1,1,1)(2,2,1)(3,2,0)(2,2,0)(3,3,1)(4,4,1)(5,4,0)
p0(p1(p2+p1(p2(p3+p2)+p2(p3))))=(0,0,0)(1,1,1)(2,2,1)(3,2,0)(2,2,1)
p0(p1(p2+p1(p2(p3+p2(p2)))))=(0,0,0)(1,1,1)(2,2,1)(3,2,0)(4,2,0)
p0(p1(p2+p1(p2(p3+p2(p2(p3(p4)))))))=(0,0,0)(1,1,1)(2,2,1)(3,2,0)(4,3,1)
p0(p1(p2+p1(p2(p3+p2(p3)))))=(0,0,0)(1,1,1)(2,2,1)(3,2,1)
p0(p1(p2+p1(p2(p3+p2(p3))+p2(p3))))=(0,0,0)(1,1,1)(2,2,1)(3,2,1)(2,2,1)
p0(p1(p2+p1(p2(p3+p2(p3))+p2(p3+p2(p3)))))=(0,0,0)(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2,1)
p0(p1(p2+p1(p2(p3+p2(p3)+p2))))=(0,0,0)(1,1,1)(2,2,1)(3,2,1)(3,2,0)
p0(p1(p2+p1(p2(p3+p2(p3)+p2(p3)))))=(0,0,0)(1,1,1)(2,2,1)(3,2,1)(3,2,1)
p0(p1(p2+p1(p2(p3+p2(p3+p1(p2))))))=(0,0,0)(1,1,1)(2,2,1)(3,2,1)(4,1,1)
p0(p1(p2+p1(p2(p3+p2(p3+p1(p2(p3)))))))=(0,0,0)(1,1,1)(2,2,1)(3,2,1)(4,1,1)(5,2,1)
p0(p1(p2+p1(p2(p3+p2(p3+p2)))))=(0,0,0)(1,1,1)(2,2,1)(3,2,1)(4,2,0)
p0(p1(p2+p1(p2(p3+p2(p3+p2(p3))))))=(0,0,0)(1,1,1)(2,2,1)(3,2,1)(4,2,1)
p0(p1(p2+p1(p2(p3+p2(p3+p3)))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)
p0(p1(p2+p1(p2(p3+p2(p3+p3))))+p1(p2+p1(p2(p3+p2(p3+p3)))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(1,1,1)(2,2,1)(3,3,0)
p0(p1(p2+p1(p2(p3+p2(p3+p3)))+p1(p2(p3+p2(p3+p3)))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(2,1,1)(3,2,1)(4,3,0)
p0(p1(p2+p1(p2(p3+p2(p3+p3))+p2)))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(2,2,0)
p0(p1(p2+p1(p2(p3+p2(p3+p3))+p2(p3))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(2,2,1)
p0(p1(p2+p1(p2(p3+p2(p3+p3))+p2(p3+p2(p3+p3)))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(2,2,1)(3,3,0)
p0(p1(p2+p1(p2(p3+p2(p3+p3)+p2))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(3,2,0)
p0(p1(p2+p1(p2(p3+p2(p3+p3)+p2(p3)))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(3,2,1)
p0(p1(p2+p1(p2(p3+p2(p3+p3)+p2(p3+p2(p3))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(3,2,1)(4,2,1)
p0(p1(p2+p1(p2(p3+p2(p3+p3)+p2(p3+p3)))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(3,2,1)(4,3,0)
p0(p1(p2+p1(p2(p3+p2(p3+p3+p2)))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(3,2,1)(4,3,0)(4,2,0)
p0(p1(p2+p1(p2(p3+p2(p3+p3+p2(p3))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(3,2,1)(4,3,0)(4,2,1)
p0(p1(p2+p1(p2(p3+p2(p3+p3+p2(p3+p3))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(3,2,1)(4,3,0)(4,2,1)(5,3,0)
p0(p1(p2+p1(p2(p3+p2(p3+p3+p3)))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(3,3,0)
p0(p1(p2+p1(p2(p3+p2(p3(p1(p2)))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(4,1,1)
p0(p1(p2+p1(p2(p3+p2(p3(p1(p2(p3+p2(p3+p3)))))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(4,1,1)(5,2,1)(6,3,0)
p0(p1(p2+p1(p2(p3+p2(p3(p2))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(4,2,0)
p0(p1(p2+p1(p2(p3+p2(p3(p2(p3)))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(4,2,1)
p0(p1(p2+p1(p2(p3+p2(p3(p3))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(4,3,0)
p0(p1(p2+p1(p2(p3+p2(p3(p3(p3)))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(4,3,0)(5,3,0)
p0(p1(p2+p1(p2(p3+p2(p3(p3(p4)))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(4,4,0)
p0(p1(p2+p1(p2(p3+p2(p3(p3(p4(p5))))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(4,4,1)
p0(p1(p2+p1(p2(p3+p2(p3(p3(p4(p5+p4(p4(p5(p6)))))))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(4,4,1)(5,5,1)
p0(p1(p2+p1(p2(p3+p2(p3(p3(p4(p5+p4(p4(p5(p6+p5(p6+p6))))))))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,0)(4,4,1)(5,5,1)(6,6,0)
p0(p1(p2+p1(p2(p3+p2(p3(p4))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,1)
p0(p1(p2+p1(p2(p3+p2(p3(p4)))))+p1(p2))=(0,0,0)(1,1,1)(2,2,1)(3,3,1)(1,1,1)
p0(p1(p2+p1(p2(p3+p2(p3(p4))))+p1(p2(p3))))=(0,0,0)(1,1,1)(2,2,1)(3,3,1)(2,1,1)(3,2,1)
p0(p1(p2+p1(p2(p3+p2(p3(p4)))+p2)))=(0,0,0)(1,1,1)(2,2,1)(3,3,1)(2,2,0)
p0(p1(p2+p1(p2(p3+p2(p3(p4)))+p2(p3))))=(0,0,0)(1,1,1)(2,2,1)(3,3,1)(2,2,1)
p0(p1(p2+p1(p2(p3+p2(p3(p4))+p2(p3)))))=(0,0,0)(1,1,1)(2,2,1)(3,3,1)(3,2,1)
p0(p1(p2+p1(p2(p3+p2(p3(p4))+p2(p3(p4))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,1)(3,2,1)(4,3,1)
p0(p1(p2+p1(p2(p3+p2(p3(p4)+p2(p3(p4)))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,1)(3,2,1)(4,3,1)(4,2,1)(5,3,1)
p0(p1(p2+p1(p2(p3+p2(p3(p4)+p3)))))=(0,0,0)(1,1,1)(2,2,1)(3,3,1)(3,3,0)
p0(p1(p2+p1(p2(p3+p2(p3(p4)+p3(p3(p4(p5))))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,1)(3,3,0)(4,4,1)
p0(p1(p2+p1(p2(p3+p2(p3(p4)+p3(p4))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,1)(3,3,1)
p0(p1(p2+p1(p2(p3+p2(p3(p4+p3))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,1)(4,3,0)
p0(p1(p2+p1(p2(p3+p2(p3(p4+p3(p4)))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,1)(4,3,1)
p0(p1(p2+p1(p2(p3+p2(p3(p4+p3(p4+p4)))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,1)(4,4,0)
p0(p1(p2+p1(p2(p3+p2(p3(p4+p3(p4(p5))))))))=(0,0,0)(1,1,1)(2,2,1)(3,3,1)(4,4,1)
p0(p1(p2+p2))=(0,0,0)(1,1,1)(2,2,2)

p0(p1(p2+p2)+p1(p2))=(0,0,0)(1,1,1)(2,2,2)(1,1,1)
p0(p1(p2+p2)+p1(p2+p1(p2+p2)))=(0,0,0)(1,1,1)(2,2,2)(1,1,1)(2,2,0)
p0(p1(p2+p2)+p1(p2+p1(p2(p3))))=(0,0,0)(1,1,1)(2,2,2)(1,1,1)(2,2,1)
p0(p1(p2+p2)+p1(p2+p1(p2(p3+p2(p3(p4))))))=(0,0,0)(1,1,1)(2,2,2)(1,1,1)(2,2,1)(3,3,1)
p0(p1(p2+p2)+p1(p2+p1(p2(p3+p3))))=(0,0,0)(1,1,1)(2,2,2)(1,1,1)(2,2,2)
p0(p1(p2+p2)+p1(p2+p1(p2(p3+p3)))+p1(p2+p1(p2(p3+p3))))=(0,0,0)(1,1,1)(2,2,2)(1,1,1)(2,2,2)(1,1,1)(2,2,2)
p0(p1(p2+p2)+p1(p2+p1(p2(p3+p3))+p1(p2)))=(0,0,0)(1,1,1)(2,2,2)(2,1,1)
p0(p1(p2+p2)+p1(p2+p1(p2(p3+p3))+p1(p2(p3))))=(0,0,0)(1,1,1)(2,2,2)(2,1,1)(3,2,1)
p0(p1(p2+p2)+p1(p2+p1(p2(p3+p3))+p1(p2(p3+p3))))=(0,0,0)(1,1,1)(2,2,2)(2,1,1)(3,2,2)
p0(p1(p2+p2)+p1(p2+p1(p2(p3+p3)+p1(p2))))=(0,0,0)(1,1,1)(2,2,2)(2,1,1)(3,2,2)(3,1,1)
p0(p1(p2+p2)+p1(p2+p1(p2(p3+p3)+p1(p2(p3)))))=(0,0,0)(1,1,1)(2,2,2)(2,1,1)(3,2,2)(3,1,1)(4,2,1)
p0(p1(p2+p2)+p1(p2+p1(p2(p3+p3)+p1(p2(p3+p3)))))=(0,0,0)(1,1,1)(2,2,2)(2,1,1)(3,2,2)(3,1,1)(4,2,2)
p0(p1(p2+p2)+p1(p2+p1(p2(p3+p3)+p2)))=(0,0,0)(1,1,1)(2,2,2)(2,2,0)
p0(p1(p2+p2)+p1(p2+p1(p2(p3+p3)+p2(p3))))=(0,0,0)(1,1,1)(2,2,2)(2,2,1)
p0(p1(p2+p2)+p1(p2+p1(p2(p3+p3)+p2(p3+p2(p3)))))=(0,0,0)(1,1,1)(2,2,2)(2,2,1)(3,2,1)
p0(p1(p2+p2)+p1(p2+p1(p2(p3+p3)+p2(p3+p2(p3+p3)))))=(0,0,0)(1,1,1)(2,2,2)(2,2,1)(3,3,0)
p0(p1(p2+p2)+p1(p2+p1(p2(p3+p3)+p2(p3+p2(p3(p4))))))=(0,0,0)(1,1,1)(2,2,2)(2,2,1)(3,3,1)
p0(p1(p2+p2)+p1(p2+p1(p2(p3+p3)+p2(p3+p2(p3(p4+p3(p4(p5))))))))=(0,0,0)(1,1,1)(2,2,2)(2,2,1)(3,3,1)(4,4,1)
p0(p1(p2+p2)+p1(p2+p1(p2(p3+p3)+p2(p3+p2(p3(p4+p4))))))=(0,0,0)(1,1,1)(2,2,2)(2,2,1)(3,3,2)
p0(p1(p2+p2)+p1(p2+p1(p2(p3+p3)+p2(p3+p2(p3(p4+p4)+p3(p4+p3(p4(p5+p5))))))))=(0,0,0)(1,1,1)(2,2,2)(2,2,1)(3,3,2)(3,3,1)(4,4,2)
p0(p1(p2+p2)+p1(p2+p2))=(0,0,0)(1,1,1)(2,2,2)(2,2,2)
p0(p1(p2+p2+p1))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)
p0(p1(p2+p2+p1)+p1(p2))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(1,1,1)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3))))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(1,1,1)(2,2,1)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p2(p3(p4))))))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(1,1,1)(2,2,1)(3,3,1)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3))))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(1,1,1)(2,2,2)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1))))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(1,1,1)(2,2,2)(3,1,0)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1))+p0))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(2,0,0)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1))+p1(p2(p3))))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(2,1,1)(3,2,1)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1))+p1(p2(p3+p3))))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(2,1,1)(3,2,2)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1))+p1(p2(p3+p3+p1))))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(2,1,1)(3,2,2)(4,1,0)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1)+p1(p2))))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(2,1,1)(3,2,2)(4,1,0)(3,1,1)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1)+p1(p2(p3+p3)))))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(2,1,1)(3,2,2)(4,1,0)(3,1,1)(4,2,2)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1)+p2)))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(2,2,0)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1)+p2(p3))))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(2,2,1)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1)+p2(p3+p2(p3(p4))))))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(2,2,1)(3,3,1)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1)+p2(p3+p2(p3(p4+p4))))))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(2,2,1)(3,3,2)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1)+p2(p3+p2(p3(p4+p4+p1))))))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(2,2,1)(3,3,2)(4,1,0)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1)+p2(p3+p2(p3(p4+p4+p1)+p3(p4))))))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(2,2,1)(3,3,2)(4,1,0)(3,3,1)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1)+p2(p3+p2(p3(p4+p4+p1)+p3(p4+p3(p4(p5+p5+p1))))))))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(2,2,1)(3,3,2)(4,1,0)(3,3,1)(4,4,2)(5,1,0)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1)+p2(p3+p3))))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(2,2,2)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1)+p2(p3+p3+p1))))=(0,0,0)(1,1,1)(2,2,2)(3,1,0)(2,2,2)(3,1,0)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1(p2)))))=(0,0,0)(1,1,1)(2,2,2)(3,1,1)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1(p2(p3))))))=(0,0,0)(1,1,1)(2,2,2)(3,1,1)(4,2,1)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p1(p2(p3+p3))))))=(0,0,0)(1,1,1)(2,2,2)(3,1,1)(4,2,2)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p2))))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p2)))+p1(p2+p1(p2(p3+p3))))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(1,1,1)(2,2,2)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p2)))+p1(p2+p1(p2(p3+p3+p2))))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(1,1,1)(2,2,2)(3,2,0)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p2))+p1(p2(p3+p3))))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(2,1,1)(3,2,2)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p2))+p1(p2(p3+p3+p2))))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(2,1,1)(3,2,2)(4,2,0)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p2)+p2)))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(2,2,0)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p2)+p2(p3))))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(2,2,1)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p2)+p2(p3+p2(p3(p4+p4))))))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(2,2,1)(3,3,2)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p2)+p2(p3+p2(p3(p4+p4+p2))))))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(2,2,1)(3,3,2)(4,2,0)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p2)+p2(p3+p2(p3(p4+p4+p3))))))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(2,2,1)(3,3,2)(4,3,0)
p0(p1(p2+p2+p1)+p1(p2+p1(p2(p3+p3+p2)+p2(p3+p2(p3(p4+p4+p3)+p3(p4+p3(p4(p5+p5+p4))))))))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(2,2,1)(3,3,2)(4,3,0)(3,3,1)(4,4,2)(5,4,0)
p0(p1(p2+p2+p1)+p1(p2+p2))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(2,2,2)
p0(p1(p2+p2+p1)+p1(p2+p2+p1))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(2,2,2)(3,1,0)
p0(p1(p2+p2+p1)+p1(p2+p2+p1)+p1(p2+p2))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(2,2,2)(3,2,0)(2,2,2)
p0(p1(p2+p2+p1+p1))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(3,1,0)
p0(p1(p2+p2+p1+p1)+p1(p2+p2))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(3,2,0)(2,2,2)
p0(p1(p2+p2+p1(p1)))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(4,1,0)
p0(p1(p2+p2+p1(p1))+p1(p2+p2))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(4,2,0)(2,2,2)
p0(p1(p2+p2+p1(p1(p2))))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(4,3,0)
p0(p1(p2+p2+p1(p1(p2(p3+p3)))))=(0,0,0)(1,1,1)(2,2,2)(3,2,0)(4,3,1)(5,3,2)
p0(p1(p2+p2+p1(p2)))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)
p0(p1(p2+p2+p1(p2)+p1(p2)))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(3,2,1)
p0(p1(p2+p2+p1(p2+p1)))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,1,0)
p0(p1(p2+p2+p1(p2+p1))+p1(p2+p2))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,2,0)(2,2,2)
p0(p1(p2+p2+p1(p2+p1(p2))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,2,1)
p0(p1(p2+p2+p1(p2+p1(p2+p2))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,0)
p0(p1(p2+p2+p1(p2+p1(p2(p1(p2))))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,0)(5,2,1)
p0(p1(p2+p2+p1(p2+p1(p2(p2)))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,0)(5,3,0)
p0(p1(p2+p2+p1(p2+p1(p2(p2(p3(p4)))))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,0)(5,4,1)
p0(p1(p2+p2+p1(p2+p1(p2(p3)))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,1)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p2(p3(p4)))))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,1)(5,4,1)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3)))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3))))+p1(p2+p2+p1(p2+p1(p2(p3+p3)))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(2,2,2)(3,2,1)(4,3,2)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3)))+p1(p2)))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(3,2,1)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3)))+p1(p2+p1(p2(p3+p3)))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(3,2,1)(4,3,2)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3))+p1(p2))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(4,2,1)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3))+p1(p2(p3)))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(4,2,1)(5,3,1)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3))+p1(p2(p3+p3)))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(4,2,1)(5,3,2)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3)+p1(p2)))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(4,2,1)(5,3,2)(5,2,1)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3)+p1(p2(p3+p3))))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(4,2,1)(5,3,2)(5,2,1)(6,3,2)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3)+p2))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(4,3,0)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3)+p2(p3)))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(4,3,1)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3)+p2(p3+p2(p3(p4+p4)))))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(4,3,1)(5,4,2)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3)+p2(p3+p3)))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(4,3,2)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3+p1(p2))))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(5,2,1)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3+p1(p2(p3+p3)))))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(5,2,1)(6,3,2)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3+p2)))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(5,3,0)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3+p2)+p2(p3+p3)))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(5,3,0)(4,3,2)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3+p2(p3))))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(5,3,1)
p0(p1(p2+p2+p1(p2+p1(p2(p3+p3+p2(p3+p2(p3(p4+p4))))))))=(0,0,0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)(5,3,1)(6,4,2)
p0(p1(p2+p2+p1(p2+p2)))=(0,0,0)(1,1,1)(2,2,2)(3,2,2)
p0(p1(p2+p2+p1(p2+p2))+p1(p2+p2))=(0,0,0)(1,1,1)(2,2,2)(3,2,2)(2,2,2)
p0(p1(p2+p2+p1(p2+p2))+p1(p2+p2+p1(p2+p2)))=(0,0,0)(1,1,1)(2,2,2)(3,2,2)(2,2,2)(3,2,2)
p0(p1(p2+p2+p1(p2+p2)+p1))=(0,0,0)(1,1,1)(2,2,2)(3,2,2)(3,1,0)
p0(p1(p2+p2+p1(p2+p2)+p1)+p1(p2+p2))=(0,0,0)(1,1,1)(2,2,2)(3,2,2)(3,2,0)(2,2,2)
p0(p1(p2+p2+p1(p2+p2)+p1(p1(p2))))=(0,0,0)(1,1,1)(2,2,2)(3,2,2)(3,2,0)(4,3,0)
p0(p1(p2+p2+p1(p2+p2)+p1(p2)))=(0,0,0)(1,1,1)(2,2,2)(3,2,2)(3,2,1)
p0(p1(p2+p2+p1(p2+p2)+p1(p2+p1(p2(p3+p3)))))=(0,0,0)(1,1,1)(2,2,2)(3,2,2)(3,2,1)(4,3,2)
p0(p1(p2+p2+p1(p2+p2)+p1(p2+p1(p2(p3+p3+p2(p3+p3))))))=(0,0,0)(1,1,1)(2,2,2)(3,2,2)(3,2,1)(4,3,2)(5,3,2)
p0(p1(p2+p2+p1(p2+p2)+p1(p2+p2)))=(0,0,0)(1,1,1)(2,2,2)(3,2,2)(3,2,2)
p0(p1(p2+p2+p1(p2+p2+p1)))=(0,0,0)(1,1,1)(2,2,2)(3,2,2)(4,1,0)
p0(p1(p2+p2+p1(p2+p2+p1))+p1(p2+p2))=(0,0,0)(1,1,1)(2,2,2)(3,2,2)(4,2,0)(2,2,2)
p0(p1(p2+p2+p1(p2+p2+p1)+p0))=(0,0,0)(1,1,1)(2,2,2)(3,2,2)(4,2,0)(3,0,0)
p0(p1(p2+p2+p1(p2+p2+p1(p2))))=(0,0,0)(1,1,1)(2,2,2)(3,2,2)(4,2,1)
p0(p1(p2+p2+p1(p2+p2+p1(p2+p2))))=(0,0,0)(1,1,1)(2,2,2)(3,2,2)(4,2,2)
p0(p1(p2+p2+p1(p2+p2+p2)))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)
p0(p1(p2+p2+p1(p2+p2+p2+p2)))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(3,3,0)
p0(p1(p2+p2+p1(p2(p1))))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,1,0)
p0(p1(p2+p2+p1(p2(p1)))+p1(p2+p2))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,2,0)(2,2,2)
p0(p1(p2+p2+p1(p2(p1(p2)))))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,2,1)
p0(p1(p2+p2+p1(p2(p1(p2+p1(p2+p2))))))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,2,1)(5,3,0)
p0(p1(p2+p2+p1(p2(p1(p2+p1(p2(p3)))))))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,2,1)(5,3,1)
p0(p1(p2+p2+p1(p2(p1(p2+p1(p2(p3+p3)))))))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,2,1)(5,3,2)
p0(p1(p2+p2+p1(p2(p1(p2+p1(p2(p3+p3+p2(p3+p3+p3))))))))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,2,1)(5,3,2)(6,4,0)
p0(p1(p2+p2+p1(p2(p1(p2+p2)))))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,2,2)
p0(p1(p2+p2+p1(p2(p1(p2+p2+p1(p2+p2))))))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,2,2)(5,2,2)
p0(p1(p2+p2+p1(p2(p1(p2+p2+p1(p2+p2+p2))))))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,2,2)(5,3,0)
p0(p1(p2+p2+p1(p2(p1(p2+p2+p1(p2(p1(p2))))))))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,2,2)(5,3,0)(6,2,1)
p0(p1(p2+p2+p1(p2(p1(p2+p2+p1(p2(p1(p2+p2))))))))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,2,2)(5,3,0)(6,2,2)
p0(p1(p2+p2+p1(p2(p2))))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,3,0)
p0(p1(p2+p2+p1(p2(p2+p2))))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,3,0)(4,3,0)
p0(p1(p2+p2+p1(p2(p2(p1(p2))))))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,3,0)(5,2,1)
p0(p1(p2+p2+p1(p2(p2(p1(p2+p2))))))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,3,0)(5,2,2)
p0(p1(p2+p2+p1(p2(p2(p2)))))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,3,0)(5,3,0)
p0(p1(p2+p2+p1(p2(p2(p3)))))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,4,0)
p0(p1(p2+p2+p1(p2(p2(p3(p4+p4))))))=(0,0,0)(1,1,1)(2,2,2)(3,3,0)(4,4,1)(5,5,2)
p0(p1(p2+p2+p1(p2(p3))))=(0,0,0)(1,1,1)(2,2,2)(3,3,1)
p0(p1(p2+p2+p1(p2(p3+p2(p3(p4))))))=(0,0,0)(1,1,1)(2,2,2)(3,3,1)(4,4,1)
p0(p1(p2+p2+p1(p2(p3+p2(p3(p4+p4))))))=(0,0,0)(1,1,1)(2,2,2)(3,3,1)(4,4,2)
p0(p1(p2+p2+p1(p2(p3+p3))))=(0,0,0)(1,1,1)(2,2,2)(3,3,2)
p0(p1(p2+p2+p1(p2(p3+p3+p2(p3(p4+p4))))))=(0,0,0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)
p0(p1(p2+p2+p2))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)
p0(p1(p2+p2+p2)+p1(p2+p2))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)
p0(p1(p2+p2+p2)+p1(p2+p2+p1(p2+p2)))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,2,2)
p0(p1(p2+p2+p2)+p1(p2+p2+p1(p2+p2+p2)))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,0)
p0(p1(p2+p2+p2)+p1(p2+p2+p1(p2(p3))))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,1)
p0(p1(p2+p2+p2)+p1(p2+p2+p1(p2(p3+p3))))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,2)
p0(p1(p2+p2+p2)+p1(p2+p2+p1(p2(p3+p3+p2(p3(p4+p4))))))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,2)(4,4,2)
p0(p1(p2+p2+p2)+p1(p2+p2+p1(p2(p3+p3+p3))))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(2,2,2)(3,3,3)
p0(p1(p2+p2+p2)+p1(p2+p2+p1(p2(p3+p3+p3))+p1(p2+p2+p2)))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(3,3,0)
p0(p1(p2+p2+p2)+p1(p2+p2+p1(p2(p3+p3+p3))+p1(p2(p3+p3))))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(3,3,2)
p0(p1(p2+p2+p2)+p1(p2+p2+p1(p2(p3+p3+p3))+p1(p2(p3+p3+p3))))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(3,3,2)(4,4,3)
p0(p1(p2+p2+p2)+p1(p2+p2+p1(p2(p3+p3+p3)+p2(p3+p3+p2(p3(p4+p4+p4))))))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(3,3,2)(4,4,3)(4,4,2)(5,5,3)
p0(p1(p2+p2+p2)+p1(p2+p2+p2))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(3,3,3)
p0(p1(p2+p2+p2+p1))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(4,1,0)
p0(p1(p2+p2+p2+p1)+p1(p2+p2))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(4,2,0)(2,2,2)
p0(p1(p2+p2+p2+p1)+p1(p2+p2+p1(p2(p3+p3+p3))))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(4,2,0)(2,2,2)(3,3,3)
p0(p1(p2+p2+p2+p1)+p1(p2+p2+p1(p2(p3+p3+p3+p1)))+p1(p2+p2))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(4,2,0)(2,2,2)(3,3,3)(4,2,0)(2,2,2)
p0(p1(p2+p2+p2+p1)+p1(p2+p2+p1(p2(p3+p3+p3+p1))+p1(p2(p3+p3+p3))))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(4,2,0)(3,3,3)
p0(p1(p2+p2+p2+p1)+p1(p2+p2+p1(p2(p3+p3+p3+p2))))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(4,3,0)
p0(p1(p2+p2+p2+p1)+p1(p2+p2+p2))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(4,3,0)(3,3,3)
p0(p1(p2+p2+p2+p1(p1(p2))))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(4,3,0)(5,4,0)
p0(p1(p2+p2+p2+p1(p2)))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(4,3,1)
p0(p1(p2+p2+p2+p1(p2+p2+p2)))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(4,3,3)
p0(p1(p2+p2+p2+p1(p2+p2+p2+p2)))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(4,4,0)
p0(p1(p2+p2+p2+p1(p2(p3))))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(4,4,1)
p0(p1(p2+p2+p2+p1(p2(p3+p3))))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(4,4,2)
p0(p1(p2+p2+p2+p1(p2(p3+p3+p3))))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(4,4,3)
p0(p1(p2+p2+p2+p2)))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)
p0(p1(p2+p2+p2+p2+p2)))=(0,0,0)(1,1,1)(2,2,2)(3,3,3)(4,4,4)(5,5,5)
p0(p1(p2(p0))))=(0,0,0,0)(1,1,1,1)

p0(p1(p2(p0))+p1)=(0,0,0,0)(1,1,1,1)(1,1,0,0)
p0(p1(p2(p0))+p1(p1(p2(p3(p4(p0))))))=(0,0,0,0)(1,1,1,1)(1,1,0,0)(2,2,1,1)
p0(p1(p2(p0))+p1(p2))=(0,0,0,0)(1,1,1,1)(1,1,1,0)
p0(p1(p2(p0))+p1(p2+p1(p2+p2)))=(0,0,0,0)(1,1,1,1)(1,1,1,0)(2,2,0,0)
p0(p1(p2(p0))+p1(p2+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(1,1,1,0)(2,2,1,0)
p0(p1(p2(p0))+p1(p2+p1(p2(p3+p3))))=(0,0,0,0)(1,1,1,1)(1,1,1,0)(2,2,2,0)
p0(p1(p2(p0))+p1(p2+p1(p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(1,1,1,0)(2,2,2,1)
p0(p1(p2(p0))+p1(p2+p1(p2(p3(p0)))+p1(p2+p2)))=(0,0,0,0)(1,1,1,1)(1,1,1,0)(2,2,2,1)(2,1,1,0)(3,2,0,0)
p0(p1(p2(p0))+p1(p2+p1(p2(p3(p0)))+p1(p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(1,1,1,0)(2,2,2,1)(2,1,1,0)(3,2,2,1)
p0(p1(p2(p0))+p1(p2+p1(p2(p3(p0))+p1(p2))))=(0,0,0,0)(1,1,1,1)(1,1,1,0)(2,2,2,1)(2,1,1,0)(3,2,2,1)(3,1,1,0)
p0(p1(p2(p0))+p1(p2+p1(p2(p3(p0))+p2)))=(0,0,0,0)(1,1,1,1)(1,1,1,0)(2,2,2,1)(2,2,0,0)
p0(p1(p2(p0))+p1(p2+p1(p2(p3(p0))+p2(p3))))=(0,0,0,0)(1,1,1,1)(1,1,1,0)(2,2,2,1)(2,2,1,0)
p0(p1(p2(p0))+p1(p2+p1(p2(p3(p0))+p2(p3+p2(p3+p3)))))=(0,0,0,0)(1,1,1,1)(1,1,1,0)(2,2,2,1)(2,2,1,0)(3,3,0,0)
p0(p1(p2(p0))+p1(p2+p1(p2(p3(p0))+p2(p3+p2(p3(p4))))))=(0,0,0,0)(1,1,1,1)(1,1,1,0)(2,2,2,1)(2,2,1,0)(3,3,1,0)
p0(p1(p2(p0))+p1(p2+p1(p2(p3(p0))+p2(p3+p2(p3(p4+p4))))))=(0,0,0,0)(1,1,1,1)(1,1,1,0)(2,2,2,1)(2,2,1,0)(3,3,2,0)
p0(p1(p2(p0))+p1(p2+p1(p2(p3(p0))+p2(p3+p2(p3(p4(p0)))))))=(0,0,0,0)(1,1,1,1)(1,1,1,0)(2,2,2,1)(2,2,1,0)(3,3,2,1)
p0(p1(p2(p0))+p1(p2+p1(p2(p3(p0))+p2(p3+ p2(p3(p4(p0))+p3)))))=(0,0,0,0)(1,1,1,1)(1,1,1,0)(2,2,2,1)(2,2,1,0)(3,3,2,1)(3,3,0,0)
p0(p1(p2(p0))+p1(p2+p1(p2(p3(p0))+p2(p3+ p2(p3(p4(p0))+p3(p4+p3(p4(p5(p0)))))))))=(0,0,0,0)(1,1,1,1)(1,1,1,0)(2,2,2,1)(2,2,1,0)(3,3,2,1)(3,3,1,0)(4,4,2,1)
p0(p1(p2(p0))+p1(p2+p2))=(0,0,0,0)(1,1,1,1)(1,1,1,0)(2,2,2,1)(2,2,2,0)
p0(p1(p2(p0))+p1(p2+p2+p1(p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(1,1,1,0)(2,2,2,1)(2,2,2,0)(3,3,3,1)
p0(p1(p2(p0))+p1(p2+p2+p2))=(0,0,0,0)(1,1,1,1)(1,1,1,0)(2,2,2,1)(2,2,2,0)(3,3,3,1)(3,3,0,0)
p0(p1(p2(p0))+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(1,1,1,1)
p0(p1(p2(p0)+p0))=(0,0,0,0)(1,1,1,1)(2,0,0,0)
p0(p1(p2(p0)+p1))=(0,0,0,0)(1,1,1,1)(2,1,0,0)
p0(p1(p2(p0)+p1)+p1(p2))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)
p0(p1(p2(p0)+p1)+p1(p2+p1(p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)
p0(p1(p2(p0)+p1)+p1(p2+p1(p2(p3(p0))+p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(2,2,2,1)
p0(p1(p2(p0)+p1)+p1(p2+p1(p2(p3(p0)+p1))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,1,0,0)
p0(p1(p2(p0)+p1)+p1(p2+p1(p2(p3(p0)+p1)))+p1(p2))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,1,0,0)(1,1,1,0)
p0(p1(p2(p0)+p1)+p1(p2+p1(p2(p3(p0)+p2))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)
p0(p1(p2(p0)+p1)+p1(p2+p1(p2(p3(p0)+p2))+p1(p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,1,1,0)(3,2,2,1)
p0(p1(p2(p0)+p1)+p1(p2+p1(p2(p3(p0)+p2))+p1(p2(p3(p0)+p2))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,1,1,0)(3,2,2,1)(4,2,0,0)
p0(p1(p2(p0)+p1)+p1(p2+p1(p2(p3(p0)+p2)+p2)))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,0,0)
p0(p1(p2(p0)+p1)+p1(p2+p1(p2(p3(p0)+p2)+p2(p3))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,1,0)
p0(p1(p2(p0)+p1)+p1(p2+p1(p2(p3(p0)+p2)+p2(p3+p2(p3(p4(p0)))))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,1,0)(3,3,2,1)
p0(p1(p2(p0)+p1)+p1(p2+p1(p2(p3(p0)+p2)+p2(p3+p2(p3(p4(p0))+p3(p4(p0)))))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,1,0)(3,3,2,1)(3,3,2,1)
p0(p1(p2(p0)+p1)+p1(p2+p1(p2(p3(p0)+p2)+p2(p3+p2(p3(p4(p0)+p3))))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,1,0)(3,3,2,1)(4,3,0,0)
p0(p1(p2(p0)+p1)+p1(p2+p2))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,2,0)
p0(p1(p2(p0)+p1)+p1(p2+p2+p1(p2+p2)))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,2,0)(3,2,2,0)
p0(p1(p2(p0)+p1)+p1(p2+p2+p1(p2+p2+p2))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,2,0)(3,3,0,0)
p0(p1(p2(p0)+p1)+p1(p2+p2+p1(p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,2,0)(3,3,1,0)
p0(p1(p2(p0)+p1)+p1(p2+p2+p1(p2(p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,2,0)(3,3,2,0)
p0(p1(p2(p0)+p1)+p1(p2+p2+p1(p2(p3(p0))))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,2,0)(3,3,3,1)
p0(p1(p2(p0)+p1)+p1(p2+p2+p1(p2(p3(p0))+p2(p3(p0))))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,2,0)(3,3,3,1)(3,3,3,1)
p0(p1(p2(p0)+p1)+p1(p2+p2+p1(p2(p3(p0)+p1))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,2,0)(3,3,3,1)(4,1,0,0)
p0(p1(p2(p0)+p1)+p1(p2+p2+p1(p2(p3(p0)+p1)))+p1(p2+p2))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,2,0)(3,3,3,1)(4,2,0,0)(2,2,2,0)
p0(p1(p2(p0)+p1)+p1(p2+p2+p1(p2(p3(p0)+p2))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,2,0)(3,3,3,1)(4,3,0,0)
p0(p1(p2(p0)+p1)+p1(p2+p2+p1(p2(p3(p0)+p2)+p2)))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,2,0)(3,3,3,1)(4,3,0,0)(3,3,0,0)
p0(p1(p2(p0)+p1)+p1(p2+p2+p1(p2(p3(p0)+p2)+p2(p3))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,2,0)(3,3,3,1)(4,3,0,0)(3,3,1,0)
p0(p1(p2(p0)+p1)+p1(p2+p2+p1(p2(p3(p0)+p2)+p2(p3+p3))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,2,0)(3,3,3,1)(4,3,0,0)(3,3,2,0)
p0(p1(p2(p0)+p1)+p1(p2+p2+p1(p2(p3(p0)+p2)+p2(p3+p3+p2(p3(p4(p0)+p3))))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,2,0)(3,3,3,1)(4,3,0,0)(3,3,2,0)(4,4,3,1)(5,4,0,0)
p0(p1(p2(p0)+p1)+p1(p2+p2+p2))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)(2,2,2,0)(3,3,3,1)(4,3,0,0)(3,3,3,0)
p0(p1(p2(p0)+p1)+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,1)
p0(p1(p2(p0)+p1)+p1(p2(p0))+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,1)(1,1,1,1)
p0(p1(p2(p0)+p1)+p1(p2(p0)+p1)+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,1)(2,1,0,0)(1,1,1,1)
p0(p1(p2(p0)+p1+p1)+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(2,1,0,0)(1,1,1,1)
p0(p1(p2(p0)+p1(p1))+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(3,1,0,0)(1,1,1,1)
p0(p1(p2(p0)+p1(p1(p2))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(3,2,0,0)
p0(p1(p2(p0)+p1(p1(p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(3,2,1,0)
p0(p1(p2(p0)+p1(p1(p2(p3(p0))))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(3,2,1,1)
p0(p1(p2(p0)+p1(p1(p2(p3(p0))+p2(p3(p0))))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(3,2,1,1)(3,2,1,1)
p0(p1(p2(p0)+p1(p1(p2(p3(p0)+p1)))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(3,2,1,1)(4,1,0,0)
p0(p1(p2(p0)+p1(p1(p2(p3(p0)+p1))))+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(3,2,1,1)(4,1,0,0)(1,1,1,1)
p0(p1(p2(p0)+p1(p1(p2(p3(p0)+p2)))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(3,2,1,1)(4,2,0,0)
p0(p1(p2(p0)+p1(p1(p2(p3(p0)+p2)+p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(3,2,1,1)(4,2,0,0)(3,2,1,0)
p0(p1(p2(p0)+p1(p1(p2(p3(p0)+p2)+p2(p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(3,2,1,1)(4,2,0,0)(3,2,1,0)(4,3,2,1)(5,3,0,0)(4,3,2,0)
p0(p1(p2(p0)+p1(p1(p2(p3(p0)+p2)+p2(p3(p0))))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(3,2,1,1)(4,2,0,0)(3,2,1,1)
p0(p1(p2(p0)+p1(p1(p2(p3(p0)+p2(p2(p3)))))))=(0,0,0,0)(1,1,1,1)(2,1,0,0)(3,2,1,1)(4,2,0,0)(5,3,0,0)
p0(p1(p2(p0)+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)
p0(p1(p2(p0)+p1(p2))+p1(p2))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)
p0(p1(p2(p0)+p1(p2))+p1(p2+p1(p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)
p0(p1(p2(p0)+p1(p2))+p1(p2+p1(p2(p3(p0)+p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)
p0(p1(p2(p0)+p1(p2))+p1(p2+p1(p2(p3(p0)+p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)
p0(p1(p2(p0)+p1(p2))+p1(p2+p1(p2(p3(p0)+p2(p3))+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(2,2,0,0)
p0(p1(p2(p0)+p1(p2))+p1(p2+p1(p2(p3(p0)+p2(p3))+p2(p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(2,2,1,0)
p0(p1(p2(p0)+p1(p2))+p1(p2+p1(p2(p3(p0)+p2(p3))+p2(p3+p2(p3(p4(p0)+p3(p4)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(2,2,1,0)(3,3,2,1)(4,3,1,0)
p0(p1(p2(p0)+p1(p2))+p1(p2+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(2,2,2,0)
p0(p1(p2(p0)+p1(p2))+p1(p2+p2+p1(p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(2,2,2,0)(3,3,3,1)
p0(p1(p2(p0)+p1(p2))+p1(p2+p2+p1(p2(p3(p0)+p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(2,2,2,0)(3,3,3,1)(4,3,1,0)
p0(p1(p2(p0)+p1(p2))+p1(p2+p2+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(2,2,2,0)(3,3,3,1)(4,3,1,0)(3,3,3,0)
p0(p1(p2(p0)+p1(p2))+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(2,2,2,1)
p0(p1(p2(p0)+p1(p2))+p1(p2(p0)+p1))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(2,2,2,1)(3,1,0,0)
p0(p1(p2(p0)+p1(p2))+p1(p2(p0)+p1)+p1(p2+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(2,2,2,1)(3,2,0,0)(2,2,2,0)
p0(p1(p2(p0)+p1(p2))+p1(p2(p0)+p1)+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(2,2,2,1)(3,2,0,0)(2,2,2,1)
p0(p1(p2(p0)+p1(p2))+p1(p2(p0)+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(2,2,2,1)(3,2,1,0)
p0(p1(p2(p0)+p1(p2)+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(3,2,1,0)
p0(p1(p2(p0)+p1(p2+p1(p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(4,2,1,0)
p0(p1(p2(p0)+p1(p2+p1(p2+p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(4,3,0,0)
p0(p1(p2(p0)+p1(p2+p1(p2(p3(p0))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(4,3,2,1)
p0(p1(p2(p0)+p1(p2+p1(p2(p3(p0)+p1)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(4,3,2,1)(5,1,0,0)
p0(p1(p2(p0)+p1(p2+p1(p2(p3(p0)+p1))))+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(4,3,2,1)(5,2,0,0)(2,2,2,1)
p0(p1(p2(p0)+p1(p2+p1(p2(p3(p0)+p2)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(4,3,2,1)(5,3,0,0)
p0(p1(p2(p0)+p1(p2+p1(p2(p3(p0)+p2)+p2(p3(p0))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(4,3,2,1)(5,3,0,0)(4,3,2,1)
p0(p1(p2(p0)+p1(p2+p1(p2(p3(p0)+p2(p2(p3)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(4,3,2,1)(5,3,0,0)(6,4,0,0)
p0(p1(p2(p0)+p1(p2+p1(p2(p3(p0)+p2(p3))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(4,3,2,1)(5,3,1,0)
p0(p1(p2(p0)+p1(p2+p1(p2(p3(p0)+p2(p3+p2(p3(p4(p0)))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)(4,3,2,1)(5,3,1,0)(6,4,2,1)
p0(p1(p2(p0)+p1(p2+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)
p0(p1(p2(p0)+p1(p2+p2))+p1(p2+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(2,2,2,0)
p0(p1(p2(p0)+p1(p2+p2))+p1(p2+p2+p1(p2(p3(p0)+p2(p3+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(2,2,2,0)(3,3,3,1)(4,3,2,0)
p0(p1(p2(p0)+p1(p2+p2))+p1(p2+p2+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(2,2,2,0)(3,3,3,1)(4,3,2,0)(3,3,3,0)
p0(p1(p2(p0)+p1(p2+p2))+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(2,2,2,0)(3,3,3,1)(4,3,2,0)(3,3,3,1)
p0(p1(p2(p0)+p1(p2+p2)+p1(p2+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(2,2,2,0)(3,3,3,1)(4,3,2,0)(4,3,2,0)
p0(p1(p2(p0)+p1(p2+p2+p1(p2(p3(p0))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(2,2,2,0)(3,3,3,1)(4,3,2,0)(5,4,3,1)
p0(p1(p2(p0)+p1(p2+p2+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(2,2,2,0)(3,3,3,1)(4,3,3,0)
p0(p1(p2(p0)+p1(p2(p0))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,1)
p0(p1(p2(p0)+p1(p2(p0)))+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,1)(1,1,1,1)
p0(p1(p2(p0)+p1(p2(p0)))+p1(p2(p0)+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,1)(2,1,1,0)
p0(p1(p2(p0)+p1(p2(p0)))+p1(p2(p0)+p1(p2(p0))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(1,1,1,1)(2,1,1,0)(1,1,1,1)
p0(p1(p2(p0)+p1(p2(p0))+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(2,1,1,0)
p0(p1(p2(p0)+p1(p2(p0))+p1(p2+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(2,1,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(3,2,2,0)
p0(p1(p2(p0)+p1(p2(p0))+p1(p2(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(2,1,1,0)(1,1,1,1)
p0(p1(p2(p0)+p1(p2(p0)+p1))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,1,0,0)
p0(p1(p2(p0)+p1(p2(p0)+p1(p2)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,1,1,0)
p0(p1(p2(p0)+p1(p2(p0)+p1(p2(p0))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,1,1,0)(1,1,1,1)
p0(p1(p2(p0)+p1(p2(p0)+p1(p2(p0)+p1(p2(p0)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,1,1,0)(4,1,1,0)(1,1,1,1)
p0(p1(p2(p0)+p1(p2(p0)+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,0,0)
p0(p1(p2(p0)+p1(p2(p0)+p2+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,0,0)(3,2,0,0)
p0(p1(p2(p0)+p1(p2(p0)+p2(p0))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,0,0)(4,0,0,0)
p0(p1(p2(p0)+p1(p2(p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,0,0)(4,2,0,0)
p0(p1(p2(p0)+p1(p2(p2(p3(p4(p0)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,0,0)(4,3,1,1)
p0(p1(p2(p0)+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)
p0(p1(p2(p0)+p1(p2(p3)))+p1(p2+p1(p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)
p0(p1(p2(p0)+p1(p2(p3)))+p1(p2+p1(p2(p3(p0) +p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,0,0)
p0(p1(p2(p0)+p1(p2(p3)))+p1(p2+p1(p2(p3(p0) +p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,1,0)
p0(p1(p2(p0)+p1(p2(p3)))+p1(p2+p1(p2(p3(p0) +p2(p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)
p0(p1(p2(p0)+p1(p2(p3)))+p1(p2+p1(p2(p3(p0) +p2(p3+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(2,2,2,0)(3,3,3,1)(4,3,3,0)
p0(p1(p2(p0)+p1(p2(p3)))+p1(p2+p1(p2(p3(p0) +p2(p3(p0))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(2,2,2,1)
p0(p1(p2(p0)+p1(p2(p3)))+p1(p2+p1(p2(p3(p0) +p2(p3(p0)+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,0,0)
p0(p1(p2(p0)+p1(p2(p3)))+p1(p2+p1(p2(p3(p0) +p2(p3(p4))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,1,0)
p0(p1(p2(p0)+p1(p2(p3)))+p1(p2+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,1,0)(2,2,2,0)
p0(p1(p2(p0)+p1(p2(p3)))+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,1,0)(2,2,2,1)
p0(p1(p2(p0)+p1(p2(p3)))+p1(p2(p0)+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,1,0)(2,2,2,1)(3,2,2,0)(4,3,1,0)
p0(p1(p2(p0)+p1(p2(p3))+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,1,0)(3,2,1,0)
p0(p1(p2(p0)+p1(p2(p3))+p1(p2+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,1,0)(3,2,2,0)
p0(p1(p2(p0)+p1(p2(p3))+p1(p2(p0))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,1,0)(3,2,2,0)(2,2,2,1)
p0(p1(p2(p0)+p1(p2(p3))+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,1,0)(3,2,2,0)(4,3,1,0)
p0(p1(p2(p0)+p1(p2(p3)+p1)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,1,0)(4,1,0,0)
p0(p1(p2(p0)+p1(p2(p3)+p1(p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,1,0)(4,2,1,0)
p0(p1(p2(p0)+p1(p2(p3)+p1(p2+p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,1,0)(4,2,2,0)
p0(p1(p2(p0)+p1(p2(p3)+p1(p2(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,1,0)(4,2,2,0)(2,2,2,1)
p0(p1(p2(p0)+p1(p2(p3)+p1(p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,1,0)(4,2,2,0)(5,3,1,0)
p0(p1(p2(p0)+p1(p2(p3)+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,1,0)(4,3,0,0)
p0(p1(p2(p0)+p1(p2(p3)+p2(p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,1,0)(4,3,1,0)
p0(p1(p2(p0)+p1(p2(p3+p2(p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,1,0)(5,4,0,0)
p0(p1(p2(p0)+p1(p2(p3+p2(p3(p4(p0)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,1,0)(5,4,2,1)
p0(p1(p2(p0)+p1(p2(p3+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,2,0)
p0(p1(p2(p0)+p1(p2(p3+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,0)(2,2,2,1)(3,2,2,0)(4,3,2,0)(2,2,2,0)(3,3,3,1)(4,3,3,0)(5,4,3,0)
p0(p1(p2(p0)+p1(p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,1)
p0(p1(p2(p0)+p1(p2(p3(p0))))+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,1)(1,1,1,1)
p0(p1(p2(p0)+p1(p2(p3(p0))))+p1(p2(p0)+p1(p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,1)
p0(p1(p2(p0)+p1(p2(p3(p0)))+p1(p2(p0))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(2,1,1,0)(1,1,1,1)
p0(p1(p2(p0)+p1(p2(p3(p0)))+p1(p2(p0)+p1(p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(2,1,1,0)(3,2,1,0)
p0(p1(p2(p0)+p1(p2(p3(p0)))+p1(p2(p0)+p1(p2(p3(p0))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(2,1,1,0)(3,2,1,0)(1,1,1,1)
p0(p1(p2(p0)+p1(p2(p3(p0))+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(3,1,1,0)
p0(p1(p2(p0)+p1(p2(p3(p0))+p1(p2(p0))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(3,1,1,0)(1,1,1,1)
p0(p1(p2(p0)+p1(p2(p3(p0))+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(3,1,1,0)(4,2,1,0)
p0(p1(p2(p0)+p1(p2(p3(p0))+p1(p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(3,1,1,0)(4,2,1,0)(1,1,1,1)
p0(p1(p2(p0)+p1(p2(p3(p0))+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(3,2,0,0)
p0(p1(p2(p0)+p1(p2(p3(p0))+p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(3,2,1,0)(1,1,1,1)
p0(p1(p2(p0)+p1(p2(p3(p0)+p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(4,2,0,0)
p0(p1(p2(p0)+p1(p2(p3(p0)+p2(p3(p0))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(4,2,1,0)(1,1,1,1)
p0(p1(p2(p0)+p1(p2(p3(p0)+p2(p3(p0)+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(4,3,0,0)
p0(p1(p2(p0)+p1(p2(p3(p0)+p2(p3(p4))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(4,3,1,0)
p0(p1(p2(p0)+p1(p2(p3(p0)+p2(p3(p4(p0)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(4,3,1,0)(1,1,1,1)
p0(p1(p2(p0)+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)
p0(p1(p2(p0)+p2)+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(1,1,1,1)
p0(p1(p2(p0)+p2)+p1(p2(p0)+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(1,1,1,1)(2,1,1,0)
p0(p1(p2(p0)+p2)+p1(p2(p0)+p1(p2(p0))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(1,1,1,1)(2,1,1,0)(1,1,1,1)
p0(p1(p2(p0)+p2)+p1(p2(p0)+p1(p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,1)
p0(p1(p2(p0)+p2)+p1(p2(p0)+p1(p2(p3(p0)))+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(2,1,1,0)
p0(p1(p2(p0)+p2)+p1(p2(p0)+p1(p2(p3(p0)))+p1(p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(2,1,1,0)(3,2,1,0)(1,1,1,1)
p0(p1(p2(p0)+p2)+p1(p2(p0)+p1(p2(p3(p0))+p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(3,2,1,0)(1,1,1,1)
p0(p1(p2(p0)+p2)+p1(p2(p0)+p1(p2(p3(p0)+p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(4,3,0,0)
p0(p1(p2(p0)+p2)+p1(p2(p0)+p1(p2(p3(p0)+p2(p3(p4(p0)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(1,1,1,1)(2,1,1,0)(3,2,1,0)(4,3,1,0)(1,1,1,1)
p0(p1(p2(p0)+p2)+p1(p2(p0)+p1(p2(p3(p0)+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)
p0(p1(p2(p0)+p2)+p1(p2(p0)+p1(p2(p3(p0)+p3))+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(2,1,1,0)
p0(p1(p2(p0)+p2)+p1(p2(p0)+p1(p2(p3(p0)+p3))+p1(p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(2,1,1,0)(1,1,1,1)
p0(p1(p2(p0)+p2)+p1(p2(p0)+p1(p2(p3(p0)+p3))+p1(p2(p3(p0)+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(2,1,1,0)(3,2,2,0)
p0(p1(p2(p0)+p2)+p1(p2(p0)+p1(p2(p3(p0)+p3)+p1(p2(p3(p0)+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(3,1,1,0)(4,2,2,0)
p0(p1(p2(p0)+p2)+p1(p2(p0)+p1(p2(p3(p0)+p3)+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(3,2,0,0)
p0(p1(p2(p0)+p2)+p1(p2(p0)+p1(p2(p3(p0)+p3)+p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(3,2,1,0)(1,1,1,1)
p0(p1(p2(p0)+p2)+p1(p2(p0)+p1(p2(p3(p0)+p3)+p2(p3(p0)+p2(p3(p4(p0)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(3,2,1,0)(4,3,1,0)(1,1,1,1)
p0(p1(p2(p0)+p2)+p1(p2(p0)+p1(p2(p3(p0)+p3)+p2(p3(p0)+p2(p3(p4(p0)+p4))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(3,2,1,0)(4,3,2,0)
p0(p1(p2(p0)+p2)+p1(p2(p0)+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(3,2,2,0)
p0(p1(p2(p0)+p2+p1))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,1,0,0)
p0(p1(p2(p0)+p2+p1)+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,1,0,0)(1,1,1,1)
p0(p1(p2(p0)+p2+p1)+p1(p2(p0)+p1(p2(p3(p0)+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,1,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)
p0(p1(p2(p0)+p2+p1)+p1(p2(p0)+p1(p2(p3(p0)+p3+p1))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,1,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,1,0,0)
p0(p1(p2(p0)+p2+p1)+p1(p2(p0)+p1(p2(p3(p0)+p3+p1))+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,1,0,0)(2,1,1,0)
p0(p1(p2(p0)+p2+p1)+p1(p2(p0)+p1(p2(p3(p0)+p3+p1))+p1(p2(p3(p0)+p3+p1))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,1,0,0)(2,1,1,0)(3,2,2,0)(4,1,0,0)
p0(p1(p2(p0)+p2+p1)+p1(p2(p0)+p1(p2(p3(p0)+p3+p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,1,0,0)(3,2,0,0)
p0(p1(p2(p0)+p2+p1)+p1(p2(p0)+p1(p2(p3(p0)+p3+p1)+p2(p3(p0)+p3+p1))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,1,0,0)(3,2,2,0)(4,1,0,0)
p0(p1(p2(p0)+p2+p1)+p1(p2(p0)+p1(p2(p3(p0)+p3+p1+p1))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,1,0,0)(4,1,0,0)
p0(p1(p2(p0)+p2+p1)+p1(p2(p0)+p1(p2(p3(p0)+p3+p1(p2)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,1,1,0)
p0(p1(p2(p0)+p2+p1)+p1(p2(p0)+p1(p2(p3(p0)+p3+p1(p2(p3(p0)+p3))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,1,1,0)(5,2,2,0)
p0(p1(p2(p0)+p2+p1)+p1(p2(p0)+p1(p2(p3(p0)+p3+p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,2,0,0)
p0(p1(p2(p0)+p2+p1)+p1(p2(p0)+p1(p2(p3(p0)+p3+p2)+p2(p3(p0)+p2(p3(p4(p0)+p4+p3))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,2,0,0)(3,2,1,0)(4,3,2,0)(5,3,0,0)
p0(p1(p2(p0)+p2+p1)+p1(p2(p0)+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,2,0,0)(3,2,2,0)
p0(p1(p2(p0)+p2+p1)+p1(p2(p0)+p2+p1))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,2,0,0)(3,2,2,0)(4,1,0,0)
p0(p1(p2(p0)+p2+p1(p1)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,2,0,0)(5,1,0,0)
p0(p1(p2(p0)+p2+p1(p1(p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,2,0,0)(5,3,0,0)
p0(p1(p2(p0)+p2+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,2,1,0)
p0(p1(p2(p0)+p2+p1(p2(p0))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,2,1,0)(1,1,1,1)
p0(p1(p2(p0)+p2+p1(p2(p0)+p1(p2(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,2,1,0)(5,2,1,0)(1,1,1,1)
p0(p1(p2(p0)+p2+p1(p2(p0)+p1(p2(p0)+p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,2,1,0)(5,3,0,0)
p0(p1(p2(p0)+p2+p1(p2(p0)+p1(p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,2,1,0)(5,3,1,0)
p0(p1(p2(p0)+p2+p1(p2(p0)+p1(p2(p3(p0))))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,2,1,0)(5,3,1,0)(1,1,1,1)
p0(p1(p2(p0)+p2+p1(p2(p0)+p1(p2(p3(p0)+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,2,1,0)(5,3,2,0)
p0(p1(p2(p0)+p2+p1(p2(p0)+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,2,2,0)
p0(p1(p2(p0)+p2+p1(p2(p0)+p2+p1(p2(p0)+p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,2,2,0)(5,2,2,0)
p0(p1(p2(p0)+p2+p1(p2(p0)+p2+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,3,0,0)
p0(p1(p2(p0)+p2+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,3,1,0)
p0(p1(p2(p0)+p2+p1(p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,3,1,0)(1,1,1,1)
p0(p1(p2(p0)+p2+p1(p2(p3(p0)+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,3,2,0)
p0(p1(p2(p0)+p2+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,3,3,0)
p0(p1(p2(p0)+p2+p2+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,0)(4,3,3,0)(5,4,4,0)
p0(p1(p2(p0)+p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)
p0(p1(p2(p0)+p2(p0))+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(1,1,1,1)
p0(p1(p2(p0)+p2(p0))+p1(p2(p0)+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(3,2,2,0)
p0(p1(p2(p0)+p2(p0))+p1(p2(p0)+p2+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(3,2,2,0)(4,3,3,1)(4,3,3,0)
p0(p1(p2(p0)+p2(p0))+p1(p2(p0)+p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(3,2,2,1)
p0(p1(p2(p0)+p2(p0)+p1))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,1,0,0)
p0(p1(p2(p0)+p2(p0)+p1)+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,1,0,0)(1,1,1,1)
p0(p1(p2(p0)+p2(p0)+p1)+p1(p2(p0)+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,0,0)(3,2,2,0)
p0(p1(p2(p0)+p2(p0)+p1)+p1(p2(p0)+p2+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,0,0)(3,2,2,0)(4,3,3,1)(5,3,0,0)(4,3,3,0)
p0(p1(p2(p0)+p2(p0)+p1)+p1(p2(p0)+p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,0,0)(3,2,2,1)
p0(p1(p2(p0)+p2(p0)+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,1,0)
p0(p1(p2(p0)+p2(p0)+p1(p2(p0))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,1,0)(1,1,1,1)
p0(p1(p2(p0)+p2(p0)+p1(p2(p0)+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,0)
p0(p1(p2(p0)+p2(p0)+p1(p2(p0)+p2(p0))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,0)(3,2,2,1)
p0(p1(p2(p0)+p2(p0)+p1(p2(p0)+p2(p0)+p1(p2(p0)+p2(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,0)(5,2,2,0)(3,2,2,1)
p0(p1(p2(p0)+p2(p0)+p1(p2(p0)+p2(p0)+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,0)(5,3,0,0)
p0(p1(p2(p0)+p2(p0)+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,0)(5,3,1,0)
p0(p1(p2(p0)+p2(p0)+p1(p2(p3(p0)+p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,0)(5,3,2,0)(3,2,2,1)
p0(p1(p2(p0)+p2(p0)+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,0)(5,3,3,0)
p0(p1(p2(p0)+p2(p0)+p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,0)(5,3,3,1)
p0(p1(p2(p0+p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)
p0(p1(p2(p0+p0))+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(1,1,1,1)
p0(p1(p2(p0+p0))+p1(p2(p0)+p1(p2(p3(p0+p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,1)
p0(p1(p2(p0+p0))+p1(p2(p0)+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,1)(3,2,2,0)
p0(p1(p2(p0+p0))+p1(p2(p0)+p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,1)(3,2,2,1)
p0(p1(p2(p0+p0))+p1(p2(p0)+p2(p0)+p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,1)(3,2,2,1)(4,2,2,0)(5,3,3,1)(6,3,3,1)(5,3,3,1)
p0(p1(p2(p0+p0))+p1(p2(p0+p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(1,1,1,1)(2,1,1,1)
p0(p1(p2(p0+p0)+p1))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,0,0)
p0(p1(p2(p0+p0)+p1)+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,0,0)(1,1,1,1)
p0(p1(p2(p0+p0)+p1)+p1(p2(p0)+p1(p2(p3(p0+p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,1)
p0(p1(p2(p0+p0)+p1)+p1(p2(p0)+p1(p2(p3(p0+p0)+p1))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,1)(4,1,0,0)
p0(p1(p2(p0+p0)+p1)+p1(p2(p0)+p1(p2(p3(p0+p0)+p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,1)(4,2,0,0)
p0(p1(p2(p0+p0)+p1)+p1(p2(p0)+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,1)(4,2,0,0)(3,2,2,0)
p0(p1(p2(p0+p0)+p1)+p1(p2(p0)+p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,0,0)(1,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,1)(4,2,0,0)(3,2,2,1)
p0(p1(p2(p0+p0)+p1)+p1(p2(p0+p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,0,0)(1,1,1,1)(2,1,1,1)
p0(p1(p2(p0+p0)+p1+p1)+p1(p2(p0+p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,0,0)(2,1,0,0)(1,1,1,1)(2,1,1,1)
p0(p1(p2(p0+p0)+p1(p1))+p1(p2(p0+p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,0,0)(3,1,0,0)(1,1,1,1)(2,1,1,1)
p0(p1(p2(p0+p0)+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,1,0)
p0(p1(p2(p0+p0)+p1(p2(p0))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,1,0)(1,1,1,1)
p0(p1(p2(p0+p0)+p1(p2(p0+p0))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,1,0)(1,1,1,1)(2,1,1,1)
p0(p1(p2(p0+p0)+p1(p2(p0+p0)+p1(p2(p0+p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,1,0)(3,1,1,0)(1,1,1,1)(2,1,1,1)
p0(p1(p2(p0+p0)+p1(p2(p0+p0)+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,1,0)(3,2,0,0)
p0(p1(p2(p0+p0)+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,1,0)(3,2,1,0)
p0(p1(p2(p0+p0)+p1(p2(p3(p0+p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,1)(2,1,1,1)
p0(p1(p2(p0+p0)+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,1,0)(3,2,2,0)
p0(p1(p2(p0+p0)+p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,1,0)(3,2,2,1)
p0(p1(p2(p0+p0)+p2(p0+p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,1)
p0(p1(p2(p0+p0+p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(2,1,1,1)
p0(p1(p2(p0(p0))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,0,0,0)
p0(p1(p2(p1)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1))+p1(p1(p2(p3(p2)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(1,1,0,0)(2,2,1,1)(3,2,1,1)(4,2,0,0)
p0(p1(p2(p1))+p1(p2))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(1,1,1,0)
p0(p1(p2(p1))+p1(p2+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(1,1,1,0)(2,2,2,1)(3,2,2,1)(4,2,0,0)(2,2,2,0)
p0(p1(p2(p1))+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(1,1,1,1)
p0(p1(p2(p1))+p1(p2(p0+p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(1,1,1,1)(2,1,1,1)
p0(p1(p2(p1))+p1(p2(p1)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p0))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,0,0,0)
p0(p1(p2(p1)+p0)+p1(p2(p1)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p0+p0))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,0,0,0)(2,0,0,0)
p0(p1(p2(p1)+p1))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,0,0)
p0(p1(p2(p1)+p1(p1(p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,0,0)(3,2,0,0)
p0(p1(p2(p1)+p1(p1(p2(p3(p0))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,0,0)(3,2,1,1)
p0(p1(p2(p1)+p1(p1(p2(p3(p1))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,0,0)(3,2,1,1)(4,2,1,1)(5,1,0,0)
p0(p1(p2(p1)+p1(p1(p2(p3(p1)))))+p1(p2(p1)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,0,0)(3,2,1,1)(4,2,1,1)(5,1,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p1(p2(p3(p1)))+p1(p2(p3(p0))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,0,0)(3,2,1,1)(4,2,1,1)(5,1,0,0)(3,1,0,0)(4,2,1,1)
p0(p1(p2(p1)+p1(p1(p2(p3(p1))+p2(p3(p0))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,0,0)(3,2,1,1)(4,2,1,1)(5,1,0,0)(3,2,1,1)
p0(p1(p2(p1)+p1(p1(p2(p3(p1))+p2(p3(p1))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,0,0)(3,2,1,1)(4,2,1,1)(5,1,0,0)(3,2,1,1)(4,2,1,1)(5,1,0,0)
p0(p1(p2(p1)+p1(p1(p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,0,0)(3,2,1,1)(4,2,1,1)(5,1,0,0)(4,2,1,0)(5,3,2,0)
p0(p1(p2(p1)+p1(p1(p2(p3(p1+p0))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,0,0)(3,2,1,1)(4,2,1,1)(5,1,0,0)(4,2,1,1)
p0(p1(p2(p1)+p1(p1(p2(p3(p1+p1))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,0,0)(3,2,1,1)(4,2,1,1)(5,1,0,0)(4,2,1,1)(5,1,0,0)
p0(p1(p2(p1)+p1(p1(p2(p3(p1(p2(p3(p1)))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,0,0)(3,2,1,1)(4,2,1,1)(5,1,0,0)(6,2,1,1)(7,2,1,1)(8,1,0,0)
p0(p1(p2(p1)+p1(p1(p2(p3(p2))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,0,0)(3,2,1,1)(4,2,1,1)(5,2,0,0)
p0(p1(p2(p1)+p1(p1(p2(p3(p2)+p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,0,0)(3,2,1,1)(4,2,1,1)(5,2,0,0)(4,0,0,0)
p0(p1(p2(p1)+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)
p0(p1(p2(p1)+p1(p2(p0))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(1,1,1,1)
p0(p1(p2(p1)+p1(p2(p1))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p1)))+p1(p2(p1)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p1)))+p1(p2(p1)+p0))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,0,0,0)
p0(p1(p2(p1)+p1(p2(p1)))+p1(p2(p1)+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)
p0(p1(p2(p1)+p1(p2(p1)))+p1(p2(p1)+p1(p2(p1))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p1))+p0))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(2,0,0,0)
p0(p1(p2(p1)+p1(p2(p1))+p1(p2(p1))+p0))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(2,1,1,0)(2,0,0,0)
p0(p1(p2(p1)+p1(p2(p1)+p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,0,0,0)
p0(p1(p2(p1)+p1(p2(p1)+p1(p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,1,1,0)
p0(p1(p2(p1)+p1(p2(p1)+p1(p2(p1)))+p0))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,1,1,0)(2,0,0,0)
p0(p1(p2(p1)+p1(p2(p1)+p1(p2(p1)+p1(p2(p1)))+p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,1,1,0)(4,1,1,0)(2,0,0,0)
p0(p1(p2(p1)+p1(p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,0,0)
p0(p1(p2(p1)+p1(p2(p1)+p2+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,0,0)(3,2,0,0)
p0(p1(p2(p1)+p1(p2(p1)+p2(p1))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,0,0)(4,1,0,0)
p0(p1(p2(p1)+p1(p2(p1(p2)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,0,0)(4,1,1,0)
p0(p1(p2(p1)+p1(p2(p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,0,0)(4,2,0,0)
p0(p1(p2(p1)+p1(p2(p2(p3(p4(p0)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,0,0)(4,3,1,1)
p0(p1(p2(p1)+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)
p0(p1(p2(p1)+p1(p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(1,1,1,1)
p0(p1(p2(p1)+p1(p2(p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1))))+p1(p2(p1)+p0))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,0,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1))))+p1(p2(p1)+p1(p2(p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)))+p0))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(2,0,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)))+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(2,1,1,0)
p0(p1(p2(p1)+p1(p2(p3(p1)))+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(2,1,1,0)(3,2,1,0)
p0(p1(p2(p1)+p1(p2(p3(p1))+p0)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(3,0,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1))+p1(p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(3,1,1,0)(4,2,1,0)
p0(p1(p2(p1)+p1(p2(p3(p1))+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(3,2,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1))+p2(p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(3,2,1,0)
p0(p1(p2(p1)+p1(p2(p3(p1))+p2(p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(3,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p0))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(4,0,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p1(p2(p3(p1)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(4,1,1,0)(5,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(4,2,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(4,2,1,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p2(p3(p1))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(4,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(4,3,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p2(p3(p4))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(4,3,1,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p2(p3(p4(p1)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(4,3,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3)))+p1(p2(p1)+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3)))+p1(p2(p1)+p1(p2(p3(p1)+p2(p3(p4))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(4,3,1,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3)))+p1(p2(p1)+p1(p2(p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,0)(4,3,3,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p0+p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1)))+p1(p2(p3(p1)+p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1))+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(3,2,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1))+p2(p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(3,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1))+p2(p3(p1)+p2(p3(p4(p1)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(3,2,1,0)(4,3,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1))+p2(p3(p1)+p2(p3(p4(p1)+p4))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(3,2,1,0)(4,3,2,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1))+p2(p3(p1)+p2(p3(p4(p1)+p4(p1)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(3,2,1,0)(4,3,2,1)(5,3,2,1)(6,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1))+p2(p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(3,2,2,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1))+p2(p3(p1)+p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1)+p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(4,2,1,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1)+p2(p3(p1)+p2(p3))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(4,2,1,0)(5,2,1,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1)+p2(p3(p1)+p2(p3(p1)+p3))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(4,2,1,0)(5,3,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1)+p2(p3(p1)+p2(p3(p4(p1)+p4(p1))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(4,2,1,0)(5,3,2,1)(6,3,2,1)(7,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1)+p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(4,2,2,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1)+p2(p3(p1)+p3(p1))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(4,2,2,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1)+p2(p3(p1)+p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(4,2,2,0)(5,3,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1)+p2(p3(p4(p1)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(4,2,2,0)(5,3,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1)+p2(p3(p4(p1)+p4(p1)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(4,2,2,0)(5,3,2,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(4,2,2,0)(5,3,3,0)
p0(p1(p2(p1)+p1(p2(p3(p1)+p3(p1)+p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(4,2,2,0)(5,3,3,1)(6,3,3,1)(7,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1+p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(4,2,2,1)
p0(p1(p2(p1)+p1(p2(p3(p1+p1)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(4,2,2,1)(5,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1(p1(p2)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)(6,2,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1(p2))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,1,0)
p0(p1(p2(p1)+p1(p2(p3(p1(p2(p0)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,1,0)(1,1,1,1)
p0(p1(p2(p1)+p1(p2(p3(p1(p2(p1)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1(p2(p1)))+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,1,0)(4,2,2,0)(5,3,3,1)
p0(p1(p2(p1)+p1(p2(p3(p1(p2(p1)))+p3(p1(p2))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,1,0)(4,2,2,0)(5,3,3,1)(6,3,3,1)(7,1,1,0)
p0(p1(p2(p1)+p1(p2(p3(p1(p2(p1)))+p3(p1(p2(p1)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,1,0)(4,2,2,0)(5,3,3,1)(6,3,3,1)(7,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1(p2(p1))+p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,1,0)(4,2,2,1)
p0(p1(p2(p1)+p1(p2(p3(p1(p2(p1))+p1(p2))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,1,0)(4,2,2,1)(5,1,1,0)
p0(p1(p2(p1)+p1(p2(p3(p1(p2(p1))+p1(p2(p1)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,1,0)(4,2,2,1)(5,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1(p2(p1)+p1(p2(p1))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,1,0)(5,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1(p2(p1)+p2))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,1,0)(6,2,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1(p2(p3)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,1,0)(6,2,1,0)
p0(p1(p2(p1)+p1(p2(p3(p1(p2(p3(p1))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,1,0)(6,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1(p2(p3(p1)+p3)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,1,0)(6,2,2,0)
p0(p1(p2(p1)+p1(p2(p3(p1(p2(p3(p1)+p3(p1))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,1,0)(6,2,2,1)(7,2,2,1)(8,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p1(p2(p3(p1(p2)))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,1,0)(6,2,2,1)(7,2,2,1)(8,1,1,0)
p0(p1(p2(p1)+p1(p2(p3(p2)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)
p0(p1(p2(p1)+p1(p2(p3(p2))+p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(3,2,2,1)
p0(p1(p2(p1)+p1(p2(p3(p2)+p0))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,0,0,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p1(p2)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,1,1,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,0,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,1,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p1))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p1)+p2(p3(p1)+p3))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,1,0)(5,3,0,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p1)+p2(p3(p4)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,1,0)(5,3,1,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p1)+p2(p3(p4(p1))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,1,0)(5,3,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p1)+p2(p3(p4(p1)+p4)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,1,0)(5,3,2,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p1)+p2(p3(p4(p2))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,1,0)(5,3,2,1)(6,3,2,1)(7,2,0,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p1)+p2(p3(p4(p2(p3)))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,1,0)(5,3,2,1)(6,3,2,1)(7,2,1,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p1)+p2(p3(p4(p2(p3(p4))))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,1,0)(5,3,2,1)(6,3,2,1)(7,2,1,0)(8,3,1,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p1)+p2(p3(p4(p2(p3(p4(p2)))))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,1,0)(5,3,2,1)(6,3,2,1)(7,2,1,0)(8,3,2,1)(9,3,2,1)(10,2,0,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p1)+p2(p3(p4(p3))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,1,0)(5,3,2,1)(6,3,2,1)(7,3,0,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p1)+p2(p3(p4(p3)+p3)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,1,0)(5,3,2,1)(6,3,2,1)(7,3,0,0)(6,3,0,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p1)+p2(p3(p4(p3)+p3(p4(p1)))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,1,0)(5,3,2,1)(6,3,2,1)(7,3,0,0)(6,3,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p1)+p3(p1))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p2))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p2)+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,0)(5,3,0,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p4(p2)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,0)(5,3,2,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p4(p2)+p4))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,0)(5,3,3,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p4(p2)+p4(p2)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,0)(5,3,3,1)(6,3,3,1)(7,2,0,0)
p0(p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p4(p3)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,0)(5,3,3,1)(6,3,3,1)(7,3,0,0)
p0(p1(p2(p1)+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)
p0(p1(p2(p1)+p2)+p1(p2(p1)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p1))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,0,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p1)+p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,1,0,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p2)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p2)+p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,0,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p2)+p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,1,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p1))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p2))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p2)+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p2)+p3)+p2(p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)(3,2,1,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p2)+p3)+p2(p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)(3,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p2)+p3)+p2(p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)(3,2,2,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p2)+p3)+p2(p3(p1)+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)(3,2,2,0)(4,3,3,1)(5,3,3,1)(6,3,0,0)(4,3,3,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p2)+p3)+p2(p3(p1)+p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)(3,2,2,1)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p2)+p3)+p2(p3(p1)+p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)(3,2,2,1)(4,2,2,1)(5,1,0,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p2)+p3)+p2(p3(p2)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)(3,2,2,1)(4,2,2,1)(5,2,0,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p2)+p3)+p2(p3(p2)+p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,1,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p1(p2(p3(p2)+p3)+p2(p3(p2)+p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,0)
p0(p1(p2(p1)+p2)+p1(p2(p1)+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)
p0(p1(p2(p1)+p2+p1))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,0,0)
p0(p1(p2(p1)+p2+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)
p0(p1(p2(p1)+p2+p1(p2(p1))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)))+p1(p2(p1)+p0))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,0,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)))+p1(p2(p1)+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)
p0(p1(p2(p1)+p2+p1(p2(p1)))+p1(p2(p1)+p1(p2(p3(p2)+p3))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)
p0(p1(p2(p1)+p2+p1(p2(p1)))+p1(p2(p1)+p1(p2(p3(p2)+p3+p2(p3(p1))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)(4,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)))+p1(p2(p1)+p1(p2(p3(p2)+p3+p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)(4,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p1)))+p1(p2(p1)+p1(p2(p3(p2)+p3+p2(p3(p2))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)(4,2,2,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)))+p1(p2(p1)+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1))+p1(p2(p1)))+p1(p2(p1)+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p1))))+p1(p2(p1)+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p1)+p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p1))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p1)))))+p1(p2(p1)+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p1))))+p1(p2(p1)+p1(p2(p3(p1))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,2,1,0)(2,1,1,0)(3,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p1)))+p1(p2(p3(p1))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,2,1,0)(3,1,1,0)(4,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p1))+p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,2,1,0)(3,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p1)+p2)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,2,1,0)(4,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p1)+p2(p3(p4)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,2,1,0)(4,3,1,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p1)+p3(p0))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,2,2,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p2))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p4(p3))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,0)(5,3,3,1)(6,3,3,1)(7,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p2)+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p2)+p3+p2(p3))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)(4,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p2)+p3+p2(p3(p1)+p3))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)(4,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p2)+p3+p2(p3(p2)+p2(p3(p4(p3)+p4+p3(p4(p2)+p4)))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)(4,2,2,0)(5,3,3,1)(6,3,3,1)(7,3,0,0)(6,3,3,1)(6,3,3,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2)+p1(p2(p1))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,1)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2)+p1(p2(p1)))+p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p2)+p3+p2(p3(p2)+p3)+p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,1)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,0,0)(4,2,2,1)(4,2,2,1)(4,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2)+p1(p2(p1)))+p1(p2(p1)+p2+p1(p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,1)(2,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2)+p1(p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,1)(2,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1))+p1(p2(p1)+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(3,1,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1))+p1(p2(p1)+p2+p1(p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(3,1,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(2,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1))+p1(p2(p1)+p2+p1(p2(p1)+p2+p1)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(3,1,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1)+p0))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(3,1,0,0)(2,0,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1)+p1(p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(3,1,0,0)(2,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1)+p1(p2(p1)+p2+p1)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)(3,1,0,0)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1+p1)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(3,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1))))+p1(p2(p1)+p2))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1))))+p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)))+p0))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(2,0,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)))+p1(p2(p1)+p1(p2(p3(p2)+p3+p2(p3(p2)+p3+p2(p3(p1)+p3)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)))+p1(p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(2,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)))+p1(p2(p1)+p2+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(2,1,1,1)(3,1,1,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1))+p1(p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(3,1,1,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)+p1(p2)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(4,1,1,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p1)+p2)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(4,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(4,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p1)+p3))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(4,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p2)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(4,2,2,1)(5,2,2,1)(6,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p1)+p3)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(4,2,2,1)(5,2,2,1)(6,2,0,0)(5,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p2)+p2(p3(p4(p3)))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(4,2,2,1)(5,2,2,1)(6,2,0,0)(5,2,2,0)(6,3,3,1)(7,3,3,1)(8,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p2)+p3))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(4,2,2,1)(5,2,2,1)(6,2,0,0)(5,2,2,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p2)+p3+p2(p3(p2)+p3)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(4,2,2,1)(5,2,2,1)(6,2,0,0)(5,2,2,1)(5,2,2,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p2)+p3+p2(p3(p2)+p3+p2)))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(4,2,2,1)(5,2,2,1)(6,2,0,0)(5,2,2,1)(6,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p2)+p3+p2(p3(p2)+p3+p2(p3))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(4,2,2,1)(5,2,2,1)(6,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)+p1(p2(p3(p2)+p3+p2(p3(p2)+p3+p2(p3(p1)+p3))))))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,0)(4,2,2,1)(5,2,2,1)(6,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)+p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)+p2))+p1(p2(p1)+p2+p1(p2(p1)+p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,1)(2,1,1,1)(3,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)+p2)+p1(p2(p1)+p2))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,1)(3,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,1)(4,1,1,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)+p2+p1(p2(p1)+p2)))))=(0,0,0,0)(1,1,1,1)(2,1,1,1)(3,1,1,1)(4,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p2)))=(0,0,0,0)(1,1,1,1)(2,2,0,0)

p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p2)+p1(p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(2,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p2)+p1(p2(p1)+p2+p2)))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(2,1,1,1)(3,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p2+p1(p2(p1)+p2))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(2,1,1,1)(3,2,0,0)(3,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p2+p1(p2(p1)+p2+p2))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(2,1,1,1)(3,2,0,0)(3,1,1,1)(4,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2+p2+p2)))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(2,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2(p1))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1)+p2(p1)+p2(p1))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,1,0,0)(2,2,0,0)(3,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1+p1))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,1,0,0)(3,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1(p1(p2(p3(p0))))))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,1,0,0)(4,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1(p2)))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,1,1,0)
p0(p1(p2(p1)+p2+p1(p2(p1(p2(p1)+p2)))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1(p2(p1)+p2))+p2)))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,1,1,1)(2,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1(p2(p1)+p2))+p2(p1(p2(p1)+p2)))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,1,1,1)(2,2,0,0)(3,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1(p2(p1)+p2)+p1(p2(p1)+p2)))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,1,1,1)(3,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1(p2(p1)+p2+p1(p2(p1)+p2))))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,1,1,1)(4,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p1(p2(p1)+p2+p2)))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,1,1,1)(4,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1(p2(p1)+p2+p2+p2)))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,1,1,1)(4,2,0,0)(4,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p1(p2(p1(p2)))))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,1,1,1)(4,2,0,0)(5,1,1,0)
p0(p1(p2(p1)+p2+p1(p2(p1(p2(p1(p2(p1)+p2)))))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,1,1,1)(4,2,0,0)(5,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p2))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p2(p3(p4))))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,3,1,0)
p0(p1(p2(p1)+p2+p1(p2(p2(p3(p4(p0)))))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,3,1,1)
p0(p1(p2(p1)+p2+p1(p2(p2(p3(p4(p1)))))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,3,1,1)(4,3,1,1)(5,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p2(p3(p4(p1(p2(p1)+p2))))))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,3,1,1)(4,3,1,1)(5,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p2(p3(p4(p2)))))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,3,1,1)(4,3,1,1)(5,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p2(p3(p4(p2(p3(p4(p0))))))))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,3,1,1)(4,3,1,1)(5,2,0,0)(6,3,1,1)
p0(p1(p2(p1)+p2+p1(p2(p2(p3(p4(p3)))))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,3,1,1)(4,3,1,1)(5,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p2(p3(p4(p3)+p3(p4(p5(p4)))))))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,3,1,1)(4,3,1,1)(5,3,0,0)(4,3,1,0)(5,4,2,1)(6,4,2,1)(7,4,0,0)
p0(p1(p2(p1)+p2+p1(p2(p2(p3(p4(p3)+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,3,1,1)(4,3,1,1)(5,3,0,0)(4,3,1,1)
p0(p1(p2(p1)+p2+p1(p2(p2(p3(p4(p3)+p4+p3(p4(p5)+p4+p4)))))))=(0,0,0,0)(1,1,1,1)(2,2,0,0)(3,3,1,1)(4,4,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3)))+p1(p2))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3)))+p1(p2+p1(p2(p3(p2)+p3+p2(p3(p2)+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3)))+p1(p2+p1(p2(p3(p2)+p3+p2(p3(p2)+p3(p2))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,0,0)(4,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3)))+p1(p2+p1(p2(p3(p2)+p3+p2(p3(p4))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3)))+p1(p2+p2))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,1,0)(2,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3)))+p1(p2(p0)))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,1,0)(2,2,2,1)
p0(p1(p2(p1)+p2+p1(p2(p3)))+p1(p2(p1)))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,1,0)(2,2,2,1)(3,2,2,1)(4,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3)))+p1(p2(p1)+p1(p2(p3(p2)+p3+p2(p3(p4))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,1,0)(2,2,2,1)(3,2,2,1)(4,1,1,0)(5,2,2,1)(6,3,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3)))+p1(p2(p1)+p1(p2(p3(p2)+p3+p2(p3(p4)))+p2(p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,1,0)(2,2,2,1)(3,2,2,1)(4,1,1,0)(5,2,2,1)(6,3,1,0)(5,2,2,1)(6,2,2,1)(7,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3)))+p1(p2(p1)+p1(p2(p3(p2)+p3+p2(p3(p4)))+p2(p3(p2)))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,1,0)(2,2,2,1)(3,2,2,1)(4,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3)))+p1(p2(p1)+p2))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,1,0)(2,2,2,1)(3,2,2,1)(4,2,0,0)(3,2,2,1)
p0(p1(p2(p1)+p2+p1(p2(p3)))+p1(p2(p1)+p2+p1(p2(p1)+p2+p2)))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,1,0)(2,2,2,1)(3,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3)))+p1(p2(p1)+p2+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,1,0)(2,2,2,1)(3,3,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3))+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,1,0)(3,3,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3)+p2(p3))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,1,0)(4,3,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3+p2(p3(p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,1,0)(4,4,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3+p2(p3(p4(p3)))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,1,0)(4,4,2,1)(5,4,2,1)(6,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3+p2(p3(p4(p3)+p4+p3(p4(p5))))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,1,0)(4,4,2,1)(5,5,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,0)(2,2,2,1)(3,3,2,0)(2,2,2,0)(3,3,3,1)(4,4,3,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1))))+p1(p2(p1)+p2))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,1)(2,1,1,1)(3,1,0,0)(2,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1))))+p1(p2(p1)+p2+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(1,1,1,1)(2,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)))+p0))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(2,0,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)))+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(2,1,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)))+p1(p2(p1)+p1(p2(p3(p2)+p3+p2(p3(p4(p1)+p4)))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(2,1,1,0)(3,2,2,1)(4,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)))+p1(p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(2,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)))+p1(p2(p1)+p2+p2)))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(2,1,1,1)(3,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)))+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(2,1,1,1)(3,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)))+p1(p2(p3(p1))))+p1(p2(p1)+p2+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(2,1,1,1)(3,2,1,0)(1,1,1,1)(2,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1))+p1(p2(p1)+p2))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(2,1,1,1)(3,2,1,0)(3,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1))+p1(p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(2,1,1,1)(3,2,1,0)(3,1,1,1)(4,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1))+p2)))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(2,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1))+p2(p3))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(2,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1))+p2(p3(p1)))+p0))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(2,2,1,0)(2,0,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p1(p2(p1)+p2)))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p1(p2(p1)+p2+p2)))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,1,1,1)(4,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p1(p2(p3))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,1,1,1)(4,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p1(p2(p3(p1)))))+p0))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,1,1,1)(4,2,1,0)(2,0,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p1(p2(p3(p1))+p2(p3(p1)))))+p0))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,1,1,1)(4,2,1,0)(4,2,1,0)(2,0,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p1(p2(p3(p1)+p1(p2(p1)+p2)))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,1,1,1)(4,2,1,0)(5,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p1))))+p0))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,2,1,0)(2,0,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p1)+p2(p3(p1)))))+p0))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,2,1,0)(4,2,1,0)(2,0,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p1)+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,0,0)(3,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p1)))))+p0))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,1,0)(2,0,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p1)+p3(p4(p5(p1)))))))+p0))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,1,0)(4,4,1,0)(2,0,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p1)+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p2))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,3,2,1)(5,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p2))+p3))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,3,2,1)(5,2,0,0)(3,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p2))+p3(p4(p2))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,3,2,1)(5,2,0,0)(3,3,1,0)(4,4,2,1)(5,4,2,1)(6,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p2)+p2(p3))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,3,2,1)(5,2,0,0)(3,3,1,0)(4,4,2,1)(5,4,2,1)(6,2,0,0)(4,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p2)+p3(p4))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,3,2,1)(5,2,0,0)(3,3,1,0)(4,4,2,1)(5,4,2,1)(6,2,0,0)(4,3,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p2)+p3(p4(p2)+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,3,2,1)(5,2,0,0)(3,3,1,0)(4,4,2,1)(5,4,2,1)(6,2,0,0)(4,4,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p2)+p3(p4(p5)))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,3,2,1)(5,2,0,0)(3,3,1,0)(4,4,2,1)(5,4,2,1)(6,2,0,0)(4,4,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p2)+p3(p4(p5(p2))))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,3,2,1)(5,2,0,0)(3,3,1,0)(4,4,2,1)(5,4,2,1)(6,2,0,0)(4,4,1,0)(5,5,2,1)(6,5,2,1)(7,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p2)+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,3,2,1)(5,2,0,0)(3,3,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p3)))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,3,2,1)(5,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p3))+p3(p4(p0)))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,3,2,1)(5,3,0,0)(3,3,2,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p3)+p3(p4(p5(p4)))))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,3,2,1)(5,3,0,0)(4,3,2,0)(5,4,2,1)(6,4,2,1)(7,4,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p3)+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,3,2,1)(5,3,0,0)(4,3,2,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p3)+p4+p3(p4(p3)+p4)))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,3,2,1)(5,3,0,0)(4,3,2,1)(4,3,2,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p3)+p4+p3(p4(p3)+p4+p4)))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,4,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p3)+p4+p3(p4(p5))))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,4,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p3)+p4+p3(p4(p5(p1)))))))+p0))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,4,1,0)(2,0,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p3)+p4+p3(p4(p5(p1)+p4(p5(p6(p5)))))))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,4,1,0)(5,5,2,1)(6,5,2,1)(7,5,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p3)+p4+p3(p4(p5(p1)+p4(p5(p6(p5)+p6+p5(p6(p7))))))))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,4,1,0)(5,5,2,1)(6,6,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p3)+p4+p3(p4(p5(p1)+p5))))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,4,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p3)+p4+p3(p4(p5(p2)))))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,4,2,0)(5,5,3,1)(6,5,3,1)(7,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p3)+p4+p3(p4(p5(p3)))))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,4,2,0)(5,5,3,1)(6,5,3,1)(7,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p3)+p4+p3(p4(p5(p3)+p4(p5(p6(p5)))))))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,4,2,0)(5,5,3,1)(6,5,3,1)(7,5,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p2(p3(p4(p3)+p4+p3(p4(p5(p3)+p4(p5(p6(p5)+p6+p5(p6(p5)+p6+p6)))))))))))=(0,0,0,0)(1,1,1,1)(2,2,1,0)(3,3,2,1)(4,4,2,0)(5,5,3,1)(6,6,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3)))+p1(p2(p1)+p2+p1(p2(p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(1,1,1,1)(2,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3))+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(2,1,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3))+p1(p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(2,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3))+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(2,1,1,1)(3,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3))+p1(p2(p3(p1)))+p0))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(2,1,1,1)(3,2,1,0)(2,0,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3))+p1(p2(p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(2,1,1,1)(3,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3)+p1(p2(p1)+p2))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(2,1,1,1)(3,2,1,1)(3,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3)+p1(p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(2,1,1,1)(3,2,1,1)(3,1,1,1)(4,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3)+p2)))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(2,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3)+p2+p2)))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(2,2,0,0)(2,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3)+p2(p3))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(2,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3)+p2(p3(p1)))+p0))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(2,2,1,0)(2,0,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3)+p2(p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(2,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p1(p2(p1)+p2)))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p1(p2(p1)+p2+p1(p2(p3(p1)+p3)))))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,1,1,1)(4,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2(p3(p1)+p3)+p2))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,2,1,1)(3,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2(p3(p1)+p3)+p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,2,1,1)(3,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2(p3(p1)+p3+p2)))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,2,1,1)(4,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2(p3(p1)+p3+p2(p3(p1)+p3))))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,2,1,1)(4,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2(p3(p1)+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2(p3(p1)+p3+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,3,0,0)(3,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2(p3(p4))))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,3,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2(p3(p4(p1)))))+p0))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,3,1,0)(2,0,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2(p3(p4(p1)+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,3,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2(p3(p4(p1)+p4)+p3(p4(p1)+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,3,1,1)(3,3,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2(p3(p4(p1)+p4+p2(p1(p2(p3(p1)+p3+p2(p3(p4(p1)+p4)))))))))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,3,1,1)(4,2,0,0)(5,1,1,1)(6,2,1,1)(7,3,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2(p3(p4(p1)+p4+p3))))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,3,1,1)(4,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2(p3(p4(p1)+p4+p3(p4(p1)+p4)))))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,3,1,1)(4,3,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2(p3(p4(p1)+p4+p3(p4(p1)+p4+p4)))))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,3,1,1)(4,4,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2(p3(p4(p1)+p4+p3(p4(p5))))))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,3,1,1)(4,4,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p2(p3(p4(p1)+p4+p3(p4(p5(p1)+p5))))))))=(0,0,0,0)(1,1,1,1)(2,2,1,1)(3,3,1,1)(4,4,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3))+p1(p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(2,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3))+p1(p2(p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(2,1,1,1)(3,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3))+p1(p2(p3(p1)+p3+p2(p3(p4(p1)+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(2,1,1,1)(3,2,1,1)(4,3,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3))+p1(p2(p3(p1)+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(2,1,1,1)(3,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3)+p1(p2))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(2,1,1,1)(3,2,2,0)(3,1,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3)+p1(p2(p1)+p2))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(2,1,1,1)(3,2,2,0)(3,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3)+p1(p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(2,1,1,1)(3,2,2,0)(3,1,1,1)(4,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3)+p1(p2(p3(p1)+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(2,1,1,1)(3,2,2,0)(3,1,1,1)(4,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3)+p2)))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(2,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3)+p2(p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(2,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3)+p2(p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(2,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3)+p2(p3(p1)+p3+p2(p3(p4(p1)+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(2,2,1,1)(3,3,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3)+p2(p3(p1)+p3+p2(p3(p4(p1)+p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(2,2,1,1)(3,3,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3)+p2(p3(p1)+p3+p2(p3(p4(p1)+p4+p4)+p3(p4(p1)+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(2,2,1,1)(3,3,2,0)(3,3,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3)+p2(p3(p1)+p3+p2(p3(p4(p1)+p4+p4)+p3(p4(p1)+p4+p3(p4(p5(p1)+p5))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(2,2,1,1)(3,3,2,0)(3,3,1,1)(4,4,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3)+p2(p3(p1)+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(2,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p1))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p1(p2(p1)+p2)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p1(p2(p3))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,1,1,1)(4,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p1(p2(p3(p1)+p3))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,1,1,1)(4,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p1(p2(p3(p1)+p3+p3))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,1,1,1)(4,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2)+p2(p3(p1)+p3+p2(p3(p4(p1)+p4+p4+p3))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,2,0,0)(2,2,1,1)(3,3,2,0)(4,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2)+p2(p3(p1)+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,2,0,0)(2,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p1)+p3+p2(p3(p1)+p3))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,2,1,1)(4,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p1)+p3+p2(p3(p1)+p3+p3))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,2,1,1)(4,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p1)+p3+p2(p3(p4(p1)+p4)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,2,1,1)(4,3,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p1)+p3+p2(p3(p4(p1)+p4+p4)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,2,1,1)(4,3,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p1)+p3+p2(p3(p4(p1)+p4+p4)+p3))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,2,1,1)(4,3,2,0)(4,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p1)+p3+p2(p3(p4(p1)+p4+p4)+p3(p4(p1)+p4)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,2,1,1)(4,3,2,0)(4,3,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p1)+p3+p2(p3(p4(p1)+p4+p4)+p3(p4(p1)+p4+p3(p4(p5(p1)+p5+p5)))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,2,1,1)(4,3,2,0)(4,3,1,1)(5,4,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p1)+p3+p2(p3(p4(p1)+p4+p4)+p3(p4(p1)+p4+p4)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,2,1,1)(4,3,2,0)(4,3,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p1)+p3+p2(p3(p4(p1)+p4+p4+p3(p4(p1)+p4))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,2,1,1)(4,3,2,0)(5,3,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p1)+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p1)+p3+p3+p2(p3(p1)+p3+p3))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,2,2,0)(4,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p1)+p3+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4+p3(p4(p5(p1)+p5))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,1,1)(4,4,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4+p3(p4(p5(p1)+p5+p5))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,1,1)(4,4,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4+p4+p3(p4(p5(p1)+p5+p5))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,2,0)(4,4,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,0)(4,4,4,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0))+p2(p3(p1)+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(2,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0))+p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(2,2,2,0)(3,3,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0))+p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4+p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(2,2,2,0)(3,3,3,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0))+p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4(p0)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(2,2,2,0)(3,3,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0))+p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4(p0)))+p2(p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(3,1,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0))+p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4(p0)))+p2(p3(p2))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(3,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0))+p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4(p0)))+p2(p3(p4(p1)+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(3,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0))+p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4(p0)))+p2(p3(p4(p1)+p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(3,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0))+p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4(p0)))+p2(p3(p4(p1)+p4(p0)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(3,2,2,0)(4,3,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0))+p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4(p0))+p3))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(3,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0))+p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4(p0))+p3(p4(p1)+p4+p4)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(3,3,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0))+p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4(p0))+p3(p4(p1)+p4+p4+p3(p4(p5(p1)+p5(p0))))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(3,3,2,0)(4,4,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0))+p2(p3(p1)+p3+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(3,3,3,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0))+p2(p3(p1)+p3+p3+p3+p2(p3(p4(p1)+p4(p0)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(3,3,3,0)(4,4,4,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0))+p2(p3(p1)+p3+p3+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(3,3,3,0)(4,4,4,1)(4,4,4,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0))+p2(p3(p1)+p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(3,3,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p1)+p3+p2(p3(p4(p1)+p4)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,2,1,1)(5,3,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p1)+p3+p2(p3(p4(p1)+p4(p0))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,2,1,1)(5,3,2,0)(6,4,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p1)+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4(p0))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,2,2,0)(5,3,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4(p0)+p2(p3(p4(p1)+p4+p4)))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,2,2,0)(5,3,3,1)(6,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4(p0)+p3)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4(p0)+p3(p4(p1)+p4+p4))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p1)+p3+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p1)+p3+p3+p3))+p2(p3(p1)+p3+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,0)(3,3,3,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p1)+p3+p3+p3))+p2(p3(p1)+p3+p3+p3+p2(p3(p4(p1)+p4(p0)+p3(p4(p1)+p4+p4+p4)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,0)(3,3,3,0)(4,4,4,1)(5,4,3,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p1)+p3+p3+p3))+p2(p3(p1)+p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,0)(3,3,3,0)(4,4,4,1)(5,4,3,0)(4,4,4,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p1)+p3+p3+p3)+p2(p3(p1)+p3+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,0)(3,3,3,0)(4,4,4,1)(5,4,3,0)(5,4,3,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p1)+p3+p3+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,0)(3,3,3,0)(4,4,4,1)(5,4,4,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p1)+p3(p0))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,0)(3,3,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p1)+p3(p0)+p2(p3(p1)+p3(p0)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,0)(5,3,3,0)(3,3,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p1)+p3(p0)+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,0)(5,4,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,0)(5,4,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p4(p1)+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,0)(5,4,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p4(p1)+p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,0)(5,4,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p4(p1)+p4(p0)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,0)(5,4,3,0)(3,3,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p2(p3(p4(p1)+p4(p0)+p3(p4(p5(p1)+p5(p0)))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,0)(5,4,3,0)(6,5,3,0)(3,3,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,0)(5,4,4,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,0)(5,4,4,0)(6,5,5,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0)+p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,0)(5,4,4,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p0+p0)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p1))+p2(p3(p1)+p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,1,0,0)(3,3,3,1)(4,3,3,1)(5,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p1)+p2(p3(p4(p1)+p4(p1)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,1,0,0)(4,3,3,0)(3,3,3,1)(4,3,3,1)(5,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,1,0,0)(4,3,3,0)(5,4,4,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1)+p3(p1)+p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,1,0,0)(4,3,3,0)(5,4,4,1)(6,4,4,1)(7,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1+p0)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,1,0,0)(4,3,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1+p0+p0)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,1,0,0)(4,3,3,1)(4,3,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1+p1)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,1,0,0)(4,3,3,1)(5,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1(p1))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,1,0,0)(5,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1(p2))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,1,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1(p2(p1)+p2))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1(p2(p3)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,1,1,1)(6,2,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1(p2(p3(p1)+p3)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,1,1,1)(6,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1(p2(p3(p1)+p3+p3)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,1,1,1)(6,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1(p2(p3(p1)+p3(p0))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,1,1,1)(6,2,2,0)(7,3,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p1(p2(p3(p1)+p3(p1))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,1,1,1)(6,2,2,0)(7,3,3,1)(8,3,3,1)(9,1,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p1(p2(p3(p1(p2(p1)+p2)))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,1,1,1)(6,2,2,0)(7,3,3,1)(8,3,3,1)(9,1,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2))+p2(p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,2,0,0)(2,2,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p2))+p2(p3(p1)+p3+p2(p3(p4(p1)+p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,2,0,0)(2,2,1,1)(3,3,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2))+p2(p3(p1)+p3+p2(p3(p4(p3)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,2,0,0)(2,2,1,1)(3,3,2,0)(4,4,3,1)(5,4,3,1)(6,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2))+p2(p3(p1)+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,2,0,0)(2,2,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2))+p2(p3(p1)+p3+p3+p2(p3(p4(p2)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,2,0,0)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2))+p2(p3(p1)+p3+p3+p2(p3(p4(p3)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2))+p2(p3(p1)+p3+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,3,0,0)(3,3,3,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2))+p2(p3(p1)+p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,3,0,0)(3,3,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p2))+p2(p3(p2)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,3,0,0)(3,3,3,1)(4,3,3,1)(5,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p0))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,3,0,0)(4,0,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p2(p3(p4(p3)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,3,0,0)(4,3,3,0)(5,4,4,1)(6,4,4,1)(7,4,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,3,0,0)(4,3,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p2(p3(p2)+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,3,0,0)(4,3,3,1)(4,3,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p2(p3(p2)+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p2(p3(p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,1,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p2(p3(p4(p1)+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,1,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p2(p3(p4(p1)+p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p2(p3(p4(p1)+p4+p4+p3(p4(p5(p1)+p5+p5))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,2,0)(5,5,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p2(p3(p4(p1)+p4+p4+p3(p4(p5(p1)+p5+p5+p5))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,2,0)(5,5,3,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p2(p3(p4(p1)+p4+p4+p3(p4(p5(p1)+p5(p0)))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,2,0)(5,5,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p2(p3(p4(p1)+p4+p4+p3(p4(p5(p4)+p5))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,2,0)(5,5,3,1)(6,5,3,1)(7,5,0,0)(6,5,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p2(p3(p4(p1)+p4+p4+p3(p4(p5(p4)+p5+p4(p5(p6(p1)+p6+p6))))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,2,0)(5,5,3,1)(6,6,2,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p2(p3(p4(p1)+p4+p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,3,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p2(p3(p4(p1)+p4(p0)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,3,0)(3,3,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p2(p3(p4(p2)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,3,0)(3,3,3,1)(4,3,3,1)(5,2,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p2(p3(p4(p2)+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,3,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p2(p3(p4(p2)+p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,4,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p2(p3(p4(p3)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,4,0)(5,5,5,1)(6,5,5,1)(7,3,0,0)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p2(p3(p4(p3)+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,4,0)(5,5,5,1)(6,5,5,1)(7,5,0,0)(6,5,5,1)
p0(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p2(p3(p4(p3)+p4+p3(p4(p5(p3)+p5+p5))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,4,0)(5,5,5,1)(6,6,6,0)
p0(p1(p2(p1)+p2+p2))=(0,0,0,0)(1,1,1,1)(2,2,2,1)
p0(p1(p2(p1)+p2+p2)+p1(p2(p1)+p2+p1(p2(p3(p2)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,3,0,0)(4,3,3,1)
p0(p1(p2(p1)+p2+p2)+p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,4,1)

p0(p1(p2(p1)+p2+p2)+p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p3)+p2(p3(p1)+p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,4,1)(3,3,3,1)
p0(p1(p2(p1)+p2+p2)+p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p3)+p2(p3(p2)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,4,1)(3,3,3,1)(4,3,3,1)(5,2,0,0)
p0(p1(p2(p1)+p2+p2)+p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p3)+p2(p3(p2)+p3+p2(p3(p4(p2)+p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,4,1)(3,3,3,1)(4,4,4,0)
p0(p1(p2(p1)+p2+p2)+p1(p2(p1)+p2+p2))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(1,1,1,1)(2,2,2,1)
p0(p1(p2(p1)+p2+p2+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,1,1,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p1)))+p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,1,1,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,4,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p1)))+p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p3+p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,1,1,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,4,1)(4,2,2,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p1)))+p1(p2(p1)+p2+p2))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,1,1,0)(1,1,1,1)(2,2,2,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,1,1,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p1)+p2+p1(p2(p1)+p2+p2))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,1,1,1)(3,2,0,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p1)+p2+p1(p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,1,1,1)(3,2,1,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,1,1,1)(3,2,2,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p1)+p2+p1(p2(p3(p2)+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,1,1,1)(3,2,2,0)(4,3,3,1)(5,3,3,1)(6,3,0,0)(5,3,3,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,1,1,1)(3,2,2,0)(4,3,3,1)(5,4,4,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p3+p2(p3(p1)+p3))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,1,1,1)(3,2,2,0)(4,3,3,1)(5,4,4,1)(5,2,1,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p3+p2(p3(p1)+p3(p0)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,1,1,1)(3,2,2,0)(4,3,3,1)(5,4,4,1)(5,3,3,0)(6,4,4,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p3+p2(p3(p2)+p3))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,1,1,1)(3,2,2,0)(4,3,3,1)(5,4,4,1)(5,3,3,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p1)+p2+p2)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,1,1,1)(3,2,2,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p1)+p2+p2+p1(p2(p1)+p2+p2))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,1,1,1)(3,2,2,1)(3,1,1,1)(4,2,2,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p1)+p2+p2+p2)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,0,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,1,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,1,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p2(p3(p4(p1)+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,1,1)(3,3,1,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p2(p3(p4(p1)+p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,1,1)(3,3,2,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p2(p3(p4(p3)+p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,1,1)(3,3,2,0)(4,4,3,1)(5,5,4,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,1,1)(3,3,2,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,1,1)(3,3,2,1)(3,3,1,1)(4,4,2,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3))+p1(p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(2,1,1,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3))+p1(p2(p1)+p2+p2)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(2,1,1,1)(3,2,2,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3))+p1(p2(p1)+p2+p2+p2)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(2,1,1,1)(3,2,2,1)(3,2,0,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3))+p1(p2(p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(2,1,1,1)(3,2,2,1)(3,2,1,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3))+p1(p2(p3(p1)+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(2,1,1,1)(3,2,2,1)(3,2,1,1)(4,3,2,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3))+p1(p2(p3(p1)+p3+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(2,1,1,1)(3,2,2,1)(3,2,2,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3)+p1(p2(p3(p1)+p3+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(2,1,1,1)(3,2,2,1)(3,2,2,0)(3,1,1,1)(4,2,2,1)(5,2,2,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3)+p2)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(2,2,0,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3)+p2(p3(p1)+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(2,2,1,1)(3,3,2,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3)+p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4+p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(2,2,1,1)(3,3,2,1)(3,3,2,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3)+p2(p3(p1)+p3+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(2,2,2,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3+p2(p3(p1)+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(3,2,1,1)(4,3,2,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3+p2(p3(p1)+p3+p3+p2(p3(p4(p1)+p4+p4+p4)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(3,2,1,1)(4,3,2,1)(4,3,2,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3+p2(p3(p1)+p3+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(3,2,2,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3+p2(p3(p1)+p3+p3+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(3,3,0,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3+p2(p3(p4(p1)+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(3,3,1,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3+p2(p3(p4(p1)+p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(3,3,1,1)(4,4,2,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3+p2(p3(p4(p1)+p4+p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(3,3,2,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3+p3+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(3,3,3,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p1)+p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(3,3,3,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p2)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,2,0,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p2)+p2(p3(p4(p3)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,3,0,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p2)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(3,3,3,1)(4,3,3,1)(5,3,0,0)(4,3,3,1)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p2)+p3+p2(p3(p2)+p3+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(3,3,3,1)(4,4,0,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p2)+p3+p2(p3(p4(p2)+p4+p4))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(3,3,3,1)(4,4,4,0)
p0(p1(p2(p1)+p2+p2+p1(p2(p3(p2)+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,0)(3,3,3,1)(4,4,4,1)
p0(p1(p2(p1)+p2+p2+p2))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,1)
p0(p1(p2(p1)+p2+p2+p2)+p1(p2(p1)+p2+p2+p2))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,1)(1,1,1,1)(2,2,2,1)(2,2,2,1)
p0(p1(p2(p1)+p2+p2+p2+p1(p2(p1)+p2+p2+p2+p2)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,1)(2,2,0,0)
p0(p1(p2(p1)+p2+p2+p2+p1(p2(p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,1)(2,2,1,1)
p0(p1(p2(p1)+p2+p2+p2+p1(p2(p3(p1)+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,1)(2,2,1,1)(3,3,2,1)
p0(p1(p2(p1)+p2+p2+p2+p1(p2(p3(p1)+p3+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,1)(2,2,1,1)(3,3,2,1)(3,3,2,1)
p0(p1(p2(p1)+p2+p2+p2+p1(p2(p3(p1)+p3+p3+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,1)(2,2,2,0)
p0(p1(p2(p1)+p2+p2+p2+p1(p2(p3(p2)+p3+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,1)(2,2,2,0)(3,3,3,1)(4,4,4,1)(4,4,4,1)
p0(p1(p2(p1)+p2+p2+p2+p2))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(2,2,2,1)(2,2,2,1)
p0(p1(p2(p1)+p2(p0)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,0,0,0)
p0(p1(p2(p1)+p2(p1)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)
p0(p1(p2(p1)+p2(p1))+p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(1,1,1,1)(2,2,2,0)
p0(p1(p2(p1)+p2(p1))+p1(p2(p1)+p2+p1(p2(p3(p2)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,4,1)
p0(p1(p2(p1)+p2(p1))+p1(p2(p1)+p2+p1(p2(p3(p2)+p3(p2)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,4,1)(5,2,0,0)
p0(p1(p2(p1)+p2(p1))+p1(p2(p1)+p2+p1(p2(p3(p2)+p3(p2))+p2(p3(p1)+p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(1,1,1,1)(2,2,2,0)(3,3,3,1)(4,4,4,1)(5,3,0,0)(3,3,3,1)
p0(p1(p2(p1)+p2(p1))+p1(p2(p1)+p2+p2))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(1,1,1,1)(2,2,2,1)
p0(p1(p2(p1)+p2(p1))+p1(p2(p1)+p2(p1)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)
p0(p1(p2(p1)+p2(p1)+p0))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,0,0,0)
p0(p1(p2(p1)+p2(p1)+p1(p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,1,1,1)
p0(p1(p2(p1)+p2(p1)+p1(p2(p1)+p2(p1))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,1,1,1)(3,2,2,1)(4,1,0,0)
p0(p1(p2(p1)+p2(p1)+p1(p2(p1)+p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,0,0)
p0(p1(p2(p1)+p2(p1)+p1(p2(p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,1,1)
p0(p1(p2(p1)+p2(p1)+p1(p2(p3(p1)+p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,1,1)(3,3,2,1)(4,1,0,0)
p0(p1(p2(p1)+p2(p1)+p1(p2(p3(p1)+p3(p1)+p2(p3(p4(p1)+p4(p1)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,1,1)(3,3,2,1)(4,1,0,0)(3,3,1,1)(4,4,2,1)(5,1,0,0)
p0(p1(p2(p1)+p2(p1)+p1(p2(p3(p1)+p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,0)
p0(p1(p2(p1)+p2(p1)+p1(p2(p3(p2)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,0)(3,3,3,1)(4,4,4,1)
p0(p1(p2(p1)+p2(p1)+p1(p2(p3(p2)+p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,0)(3,3,3,1)(4,4,4,1)(5,1,0,0)
p0(p1(p2(p1)+p2(p1)+p1(p2(p3(p2)+p3(p2)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,0)(3,3,3,1)(4,4,4,1)(5,2,0,0)
p0(p1(p2(p1)+p2(p1)+p1(p2(p3(p2)+p3(p2))+p2(p3(p1)+p3(p0)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,0)(3,3,3,1)(4,4,4,1)(5,3,0,0)(3,3,3,1)
p0(p1(p2(p1)+p2(p1)+p2))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)
p0(p1(p2(p1)+p2(p1)+p2)+p1(p2(p1)+p2(p1)+p2))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)
p0(p1(p2(p1)+p2(p1)+p2+p1(p2)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)(2,1,1,0)
p0(p1(p2(p1)+p2(p1)+p2+p1(p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)(2,1,1,1)
p0(p1(p2(p1)+p2(p1)+p2+p1(p2(p1)+p2(p1))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)(2,1,1,1)(3,2,2,1)(4,1,0,0)
p0(p1(p2(p1)+p2(p1)+p2+p1(p2(p1)+p2(p1)+p1(p2(p1)+p2(p1)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)(2,1,1,1)(3,2,2,1)(4,1,0,0)(3,1,1,1)(4,2,2,1)(5,1,0,0)
p0(p1(p2(p1)+p2(p1)+p2+p1(p2(p1)+p2(p1)+p1(p2(p1)+p2(p1)+p2))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)(2,1,1,1)(3,2,2,1)(4,1,0,0)(3,2,0,0)
p0(p1(p2(p1)+p2(p1)+p2+p1(p2(p1)+p2(p1)+p1(p2(p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)(2,1,1,1)(3,2,2,1)(4,1,0,0)(3,2,1,1)
p0(p1(p2(p1)+p2(p1)+p2+p1(p2(p1)+p2(p1)+p1(p2(p3(p1)+p3(p1))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)(2,1,1,1)(3,2,2,1)(4,1,0,0)(3,2,1,1)(4,3,2,1)(5,1,0,0)
p0(p1(p2(p1)+p2(p1)+p2+p1(p2(p1)+p2(p1)+p1(p2(p3(p1)+p3(p1)+p2(p3(p4(p1)+p4(p1))))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)(2,1,1,1)(3,2,2,1)(4,1,0,0)(3,2,1,1)(4,3,2,1)(5,1,0,0)(4,3,1,1)(5,4,2,1)(6,1,0,0)
p0(p1(p2(p1)+p2(p1)+p2+p1(p2(p1)+p2(p1)+p1(p2(p3(p1)+p3(p1)+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)(2,1,1,1)(3,2,2,1)(4,1,0,0)(3,2,2,0)
p0(p1(p2(p1)+p2(p1)+p2+p1(p2(p1)+p2(p1)+p1(p2(p3(p2)+p3)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)(2,1,1,1)(3,2,2,1)(4,1,0,0)(3,2,2,0)(4,3,3,1)(5,4,4,1)
p0(p1(p2(p1)+p2(p1)+p2+p1(p2(p1)+p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)(2,1,1,1)(3,2,2,1)(4,1,0,0)(3,2,2,1)
p0(p1(p2(p1)+p2(p1)+p2+p1(p2(p1)+p2(p1)+p2+p2)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)(2,2,0,0)
p0(p1(p2(p1)+p2(p1)+p2+p1(p2(p3(p1)+p3(p1)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)(2,2,1,1)(3,3,2,1)(4,1,0,0)
p0(p1(p2(p1)+p2(p1)+p2+p1(p2(p3(p1)+p3(p1)+p3+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)(2,2,2,0)
p0(p1(p2(p1)+p2(p1)+p2+p2))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)(2,2,2,1)
p0(p1(p2(p1)+p2(p1)+p2(p1)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(2,2,2,1)(3,1,0,0)
p0(p1(p2(p1+p1)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,0,0)(3,1,0,0)
p0(p1(p2(p1(p2))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,0)
p0(p1(p2(p1(p2(p1)))+p0))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,0)(2,0,0,0)
p0(p1(p2(p1(p2(p1)))+p1(p2(p1))+p0))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,0)(2,1,1,0)(2,0,0,0)
p0(p1(p2(p1(p2(p1)))+p1(p2(p1)+p1(p2(p3(p2(p3(p1)+p3)))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,0)(2,1,1,0)(3,2,2,1)(4,2,2,1)(5,2,2,0)
p0(p1(p2(p1(p2(p1)))+p1(p2(p1)+p2)))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,0)(2,1,1,1)
p0(p1(p2(p1(p2(p1)))+p1(p2(p1(p2(p1))))+p0))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,0)(2,1,1,1)(3,2,2,1)(4,1,1,0)(2,0,0,0)
p0(p1(p2(p1(p2(p1)))+p1(p2(p1(p2(p1))+p2))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,0)(2,2,0,0)
p0(p1(p2(p1(p2(p1)))+p1(p2(p3(p1)+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,0)(2,2,1,1)
p0(p1(p2(p1(p2(p1)))+p1(p2(p3(p1(p2))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,0)(2,2,1,1)(3,3,2,1)(4,1,1,0)
p0(p1(p2(p1(p2(p1)))+p1(p2(p3(p1(p2(p1)))+p3))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,0)(2,2,2,0)
p0(p1(p2(p1(p2(p1)))+p1(p2(p3(p2)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,0)(2,2,2,0)(3,3,3,1)(4,4,4,1)(5,2,0,0)
p0(p1(p2(p1(p2(p1)))+p1(p2(p3(p2(p3))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,0)(2,2,2,0)(3,3,3,1)(4,4,4,1)(5,3,1,0)
p0(p1(p2(p1(p2(p1)))+p1(p2(p3(p2(p3(p1)+p3))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,0)(2,2,2,0)(3,3,3,1)(4,4,4,1)(5,3,1,1)
p0(p1(p2(p1(p2(p1)))+p1(p2(p3(p2(p3(p1)+p3+p3+p3))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,0)(2,2,2,0)(3,3,3,1)(4,4,4,1)(5,3,3,0)
p0(p1(p2(p1(p2(p1)))+p2))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,0)(2,2,2,1)
p0(p1(p2(p1(p2(p1))+p1(p2))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,0)(3,1,1,0)
p0(p1(p2(p1(p2(p1)+p1(p2(p1)+p2)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,0)(4,2,0,0)
p0(p1(p2(p1(p2(p1)+p1(p2(p3(p2)+p3+p3))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,0)(4,2,2,1)(5,3,3,1)
p0(p1(p2(p1(p2(p1)+p2))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,1)
p0(p1(p2(p1(p2(p1)+p2+p1(p2(p3(p1)+p3+p3))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,1)(4,2,2,0)
p0(p1(p2(p1(p2(p1)+p2+p1(p2(p3(p2)+p3+p3))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,1)(4,2,2,0)(5,3,3,1)(6,4,4,1)
p0(p1(p2(p1(p2(p1)+p2+p2))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,1)(4,2,2,1)
p0(p1(p2(p1(p2(p1(p2))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,1)(4,2,2,1)(5,1,1,0)
p0(p1(p2(p1(p2(p1(p2(p1)+p2))))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,1,1,1)(4,2,2,1)(5,1,1,1)
p0(p1(p2(p1(p2(p2)))))=(0,0,0,0)(1,1,1,1)(2,2,2,1)(3,2,0,0)