## Problem 2 – CSP

Consider the following constraint satisfaction problem. A linear graph has nodes of the following colors:

– Red

– Yellow

– Green

– Blue

– Violet

Each node has a domain of {1, 2, …, 9}.

Each node type has the following constraints on its value:

– Red – No contraints

– Yellow – equals the rightmost digit of of the product of all its neighbors

– Green – equals the rightmost digit of the sum of all its neighbors

– Blue – equals the leftmost digit of the sum of all its neighbors

– Violet – equals the leftmost digit of the product of all of its neighbors

As a reminder here is the pseudo code for the Min-Conflicts search algorithm:

![minconflicts](https://images2017.cnblogs.com/blog/1126979/201712/1126979-20171224140802287-1871895433.png)

**Notes:**

– It’s possible that you won’t converge to a solution in a single run. Try a few runs to see if you get to a solution.

– The example is to show you what a problem looks like, we will test/grade your program on different examples

Complete the function *solve_csp* defined below. You may find some helper functions useful.