Must be needed in C programming language.

There are thirteen buildings in a colony in a specific order and there can be multiple connectors among the buildings, and you have to color (there are four available colors) each building such that the two adjacent building may not have the same color. Build a program by selecting parameters as per your preference and make sure minimum number of colors are being used. - Solve this problem using C programing language. Use any algorithm knowledge. - Comment before every step. - Make a summary of your work. - Make a report on your method, this report will justify your solving method