NO

1 decompositions
 #1 -----------
   1: 0(1(2(3(4(5(1(x1))))))) -> 1(2(3(4(5(1(1(0(1(2(3(4(5(0(1(2(3(4(5(x1)))))))))))))))))))
   2: 0(1(2(3(4(5(1(x2))))))) -> 1(2(3(4(5(1(1(0(1(2(3(4(5(0(1(2(3(4(5(0(1(2(3(4(5(x2)))))))))))))))))))))))))

unjoinable peak
    1(2(3(4(5(1(1(0(1(2(3(4(5(0(1(2(3(4(5(x6)))))))))))))))))))
*<- 0(1(2(3(4(5(1(x6))))))) ->*
    1(2(3(4(5(1(1(0(1(2(3(4(5(0(1(2(3(4(5(0(1(2(3(4(5(x6)))))))))))))))))))))))))