Can you help to solve my homework report, i should do it step by step but i have no idea, i would appreciate if you help me to solve it by giving me the solution. Here it is my homework:

Object: Realization of a Distributed Vertex Coloring Algorithm Using Python and mpi$4$py$.$ The aim of this project is to design and implement a distributed vertex coloring algorithm using SSI model of communication. This model requires to have a spanning tree built prior to the working of the algorithm to implement synchronous rounds. You may assume such a tree is built and you can assign parents and children to the nodes as you like.

At each round any unassigned node that has the highest rank among its neighbors selects an unused color and colors itself and notifies its neighbors of its choice.

You can work in groups of two. If you do$,$ each member is responsible for the whole of the project.

Procedure:

High Level Design:

Provide high level design of the distributed algorithm using a finite state machine $($FSM$)$ diagram with descriptions.

Convert FSM to FSM table.

Provide pseudocode of the algorithm or pesudocode of the actions with brief comments.

Detailed Design: $($Using actions is optional$)$ Convert actions to Python code and implement the algorithm using mpi$4$py$.$ You can implement without using actions.

Demo: Show the operation of the algorithm for the sample network represented by the graph in Fig. $1$

Figure $1$: A sample graph for Demo

Report: Your report should contain description of high level design with FSM diagrams and FSM table. Either give the pseudocode of actions or the pesudocode of the whole algorithm. Send your Python code as assignment in blackboard.