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Constraint Propagation - Consistency Enforcing. Dr Rong Qu. G52AIP AI Programming ... Arc Consistency definition ... Arc Consistency AC-3. Improved AC-3 ...
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Constraint Optimisation Problems. Real world problems present to be messy ... Constraint optimisation problems (C,f) Constraint Satisfaction Problem (C) ...
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Sudoku. Cryptarithmetic. G52AIP AI Programming. 14. Constraint ... A number of puzzles. N-queen problem. Map coloring. Cryptarithmetic problem. Sudoku. WA ...
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The above formulate the map coloring problem into a constraint satisfaction problem ... Optimal solutions (using the least colors) cannot be obtained for 90 ...
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Jump back to the most recent conflicted variable. Assume node x has domain {red, green} ... Any values in these variables conflict with the current value is ...
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... dim1 1..9; range dim2 1..9; range bindex 0..2; int input[dim1, ... alldifferent(all(i in dim1) pos[i,j]); forall(i in dim1) alldifferent(all(j in dim2) pos[i,j] ...
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The order of the variables labelled and the values assigned has significant ... if a b and b a then a = b (antisymmetry) if a b and b c then a c (transitivity) ...
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G52AIP. Artificial Intelligence Programming. Constraint Optimisation Problems ... Total cost is minimised, or within a limit. Total value is maximised ...
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Not complete. Not guarantee to find (optimal) solution ... UNTIL a (no) complete solution is found. G52AIP AI Programming. 21 of 36 ...
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