A bicomplex of Khovanov homology for colored Jones polynomial

We construct a bicomplex for the categorification of the colored Jones polynomial. This work is motivated by the problem suggested by Anna Beliakova and Stephan Wehrli who discussed the categorification of the colored Jones polynomial in their paper.
Comment: 4 pages, 2 figures, Figure 2 and the references were revised; Added a reference and explanation. Corrected a typo, Revised some presentation; version 4, removed some needles parts from section 2: version 5, revised proof and some presentation, version 6, revised proof and some presentation, added important remark, version 7, Revised Section 2