Question: 8. Colorful paths (I). You are given a directed graph G (V,E), and nodes s, t. Nodes are colored red yellow, blue, or white. Let

8. Colorful paths (I). You are given a directed graph G

8. Colorful paths (I). You are given a directed graph G (V,E), and nodes s, t. Nodes are colored red yellow, blue, or white. Let us say a path (not necessarily simple) is colorful if it runs from s to t, and contains at least one red, one yellow, and one blue node. Design and analyze an algorithm that determines if there is a colorful path, and if so, finds one containing a minimum number of white nodes. Your algorithm should run in time OVI+E) Hint: use a standard algorithm as a subroutine. 8. Colorful paths (I). You are given a directed graph G (V,E), and nodes s, t. Nodes are colored red yellow, blue, or white. Let us say a path (not necessarily simple) is colorful if it runs from s to t, and contains at least one red, one yellow, and one blue node. Design and analyze an algorithm that determines if there is a colorful path, and if so, finds one containing a minimum number of white nodes. Your algorithm should run in time OVI+E) Hint: use a standard algorithm as a subroutine

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