NO

1 decompositions
 #1 -----------
   1: 5(5(x1)) -> 0(5(4(0(2(5(4(5(2(1(x1))))))))))
   2: 5(5(x2)) -> 3(4(1(1(1(1(4(4(0(4(x2))))))))))
   3: 2(5(5(x3))) -> 4(2(5(4(4(0(0(1(1(2(x3))))))))))
   4: 5(2(4(x4))) -> 0(5(0(2(3(3(4(2(4(2(x4))))))))))
   5: 5(5(2(x5))) -> 0(1(3(2(3(0(3(2(5(3(x5))))))))))
   6: 5(5(3(x6))) -> 0(3(5(4(4(1(0(1(5(0(x6))))))))))
   7: 5(5(5(x7))) -> 5(3(4(1(0(1(4(5(0(0(x7))))))))))
   8: 2(5(0(4(x8)))) -> 4(4(3(2(4(4(5(1(0(0(x8))))))))))
   9: 4(5(2(4(x9)))) -> 4(1(5(5(2(0(3(1(3(3(x9))))))))))
  10: 4(5(5(5(x10)))) -> 1(5(1(2(0(3(2(1(0(5(x10))))))))))
  11: 0(2(5(3(4(x11))))) -> 3(2(4(3(1(5(1(1(3(4(x11))))))))))
  12: 2(5(5(3(4(x12))))) -> 4(5(4(3(1(4(0(2(4(4(x12))))))))))
  13: 5(5(5(1(4(x13))))) -> 3(3(0(5(0(4(3(4(4(0(x13))))))))))
  14: 0(4(4(5(5(5(x14)))))) -> 0(4(4(4(3(3(4(1(3(1(x14))))))))))
  15: 1(2(4(5(2(4(x15)))))) -> 3(3(5(3(0(4(0(3(1(3(x15))))))))))
  16: 4(1(5(5(0(4(x16)))))) -> 1(0(3(0(4(2(4(4(3(4(x16))))))))))
  17: 4(2(5(5(1(5(x17)))))) -> 2(3(4(2(1(1(3(4(2(5(x17))))))))))
  18: 5(2(5(5(0(4(x18)))))) -> 0(4(2(3(3(5(2(1(4(4(x18))))))))))
  19: 5(5(2(4(5(0(x19)))))) -> 2(1(1(4(2(4(0(4(2(0(x19))))))))))
  20: 0(1(5(5(5(3(5(x20))))))) -> 5(3(2(5(1(0(1(2(0(5(x20))))))))))
  21: 4(4(5(2(4(2(2(x21))))))) -> 4(0(5(5(4(5(1(2(2(1(x21))))))))))

unjoinable peak
    5(0(5(4(0(2(5(4(5(2(1(x1)))))))))))
*<- 5(5(5(x1))) ->*
    0(5(4(0(2(5(4(5(2(1(5(x1)))))))))))