MHB Prim's algorithm for minimal spanning tree

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Prim's algorithm is a method for finding the minimum spanning tree of a connected, undirected graph. To implement the algorithm, start with a single vertex and repeatedly add the smallest edge connecting a vertex in the tree to a vertex outside the tree until all vertices are included. Documentation of each step can include noting the vertices added, the edges selected, and the current state of the tree after each addition. The algorithm can still be applied to any connected graph, ensuring that it maintains the properties of a spanning tree. Understanding the definition of a connected spanning subgraph is crucial for correctly applying Prim's algorithm.
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Quite stuck on this how do i do this and how do i document each step?
 

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First trick I learned this one a long time ago and have used it to entertain and amuse young kids. Ask your friend to write down a three-digit number without showing it to you. Then ask him or her to rearrange the digits to form a new three-digit number. After that, write whichever is the larger number above the other number, and then subtract the smaller from the larger, making sure that you don't see any of the numbers. Then ask the young "victim" to tell you any two of the digits of the...

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