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N Queens Problem

Solved using Hill Climbing Heuristic Search technique. This searching is implemented using simple HCS, so it may get stuck on Local Maxima.

Random Restart HC will restart every time if the HC gets stuck, the default no of iterations can be determined by the iterations parameter

Algorithm

Simple Hill Climbing Search

 heurisitc = h(currentState) while True neighbours = currentState neighbour = min(h(nieghbours)) newHeurisitc = h(neighbour) if newHeuristic >= heuristic exit currentState = neighbour 

Random Restart Hill Climbing Search

 for 0 --> iterations heurisitc = h(currentState) while True neighbours = currentState neighbour = min(h(nieghbours)) newHeurisitc = h(neighbour) if newHeuristic >= heuristic exit currentState = neighbour if stuck in local maxima restart --> new currentState 

Examples

n = 4

Starting Board :: Q - - - - Q - - - - - Q - Q - - Final Board :: - - Q - Q - - - - - - Q - Q - - Steps climbed :: 2 

n = 5

Starting Board :: - - - Q - - - - - Q - - - - Q Q - - - - - - - Q - Final Board :: - Q - - - - - - - Q - - Q - - Q - - - - - - - Q - Steps climbed :: 2 

Local Maxima Case

Starting Board :: Q - - - - Q - - - - - - - Q - - - - Q - Q - - - - Final Board :: - - Q - - Q - - - - - - - Q - - - - Q - Q - - - - Steps climbed :: 1 Stuck at Local Maxima State 

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