Using graph G1 a) Use Prim's Algorithm to find a minimum spanning tree starting with v1 and its cost. Show your work b) Use Kruskal's Algorithm to find a minimum spanning tree and its cost. Show your work c) Which of the two algorithms above is more efficient than the other for finding a MST in G1? Why?

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A: Introduction

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Eight puzzle problem

The N-puzzle problem contains N tiles (N+1 including empty tiles) where the value of N can be 8, 15, 24, etc. The puzzle is divided into the square root of (N+1) rows and the square root of (N+1) columns. These problems have an initial state or configuration and a goal state or configuration. The puzzle can be solved by shifting the tiles one by one in the empty space. The objective is to place the numbers on the tiles to match the final state using the empty space. The other name for the N-puzzle problem is the sliding puzzle.