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Chapter 3 Constraint Programming Paragraph 1 Puzzles, Domains, and Constraints Who Owns the Fish? 1. The Brit lives in the red house. 2. The Swede keeps dogs as pets. 3. The Dane drinks tea. 4. The green house is on the left of the white

  1. Chapter 3 Constraint Programming Paragraph 1 Puzzles, Domains, and Constraints

  2. Who Owns the Fish? 1. The Brit lives in the red house. 2. The Swede keeps dogs as pets. 3. The Dane drinks tea. 4. The green house is on the left of the white house. 5. The green house's owner drinks coffee. 6. The person who smokes Pall Mall rears birds. 7. The owner of the yellow house smokes Dunhill. 8. The man living in the center house drinks milk. 9. The Norwegian lives in the first house. 10. The man who smokes Blends lives next to the one who keeps cats. 11. The man who keeps the horse lives next to the man who smokes Dunhill. 12. The owner who smokes Bluemasters drinks beer. 13. The German smokes Prince. 14. The Norwegian lives next to the blue house. 15. The man who smokes Blends has a neighbor who drinks water. CS 195 - Intro to CO 2

  3. Constrained Programming – An Archeological Puzzle AB CA DE + = + + + + = A E A = + CE CA DA CS 195 - Intro to CO 3

  4. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D = A=C A+1=C + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 4

  5. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 5

  6. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 6

  7. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 7

  8. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 8

  9. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 9

  10. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 10

  11. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 11

  12. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 12

  13. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 13

  14. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 14

  15. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 15

  16. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 16

  17. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 17

  18. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 18

  19. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 19

  20. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 20

  21. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 21

  22. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D = A=C A+1=C + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 22

  23. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 23

  24. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 24

  25. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 25

  26. Constrained Programming – An Archeological Puzzle AB + CA = DE B+A=E B+A=E+10 + + + + = A E A A+C=D A+C+1=D A=C A+1=C = + CE CA DA E+A=A E+A=A+10 A 0,1,2,3,4,5,6,7,8,9 2C=D 2C+1=D B 0,1,2,3,4,5,6,7,8,9 D=D D+1=D AllDiff(A,B,C,D,E) C 0,1,2,3,4,5,6,7,8,9 D 0,1,2,3,4,5,6,7,8,9 E 0,1,2,3,4,5,6,7,8,9 CS 195 - Intro to CO 26

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