Question: NO IMPLEMENTATION NEEDED JUST THEORY, AI Figure 3: Initial state for Numberlink Problem 2 Task 2 Devise a heuristic function h1 for the Numberlink puzale

NO IMPLEMENTATION NEEDED JUST THEORY, AI Figure 3: Initial state for

NO IMPLEMENTATION NEEDED JUST THEORY, AI

Figure 3: Initial state for Numberlink Problem 2 Task 2 Devise a heuristic function h1 for the Numberlink puzale that is not admissible. 1. (.5pts, Attrib 1,4) Show that your h1 assigns a value of 0 to the goal state 2. (.5pts, Attrib 1,4) Show that your h1 assigns a value of infinite for rule violations (crossing lines, etc) 3. (.5pts, Attrib 1,4) Show two board positions for Numberlink Problem 2 that have different h1-values. Motivate the given h1-values. 4. (.5 pts, Attrib 1,4) Explain, why h1 is not admissible. Task 3 Devise a second heuristic function h2 for the Numberlink puzale that is admissible. 1. (.5pts, Atirib 1,4) Show that your h2 assigns a value of 0 to the goal state 2. (.5pts, Attrib 1,4) Show that your h2 assigns a value of infinite for rule violations (crossing lines, etc) 3. (.5pts, Attrib 1,4) Show two board positions for Numberlink Problem 2 that have diflerent h2-values. Motivate the given h2-values. 4. (.5pts, Attrib 1,4) Explain, why h2 is admissible

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