;SUDOKU BREAKOUT!!!!
;Solves Sudoku puzzles using a modified distributed breakout algorithm
;  essentially calculates an inverse utility for each 'number' and shuffles numbers minimizing
;  global inverse utility. 

breed [ numbers number ]
breed [ maj_nodes maj_node ]  ;the bars that outline the grid are actually link turtles these are the endpoints
undirected-link-breed [ maj_bars maj_bar ]

;neighborhood: the constraint neighbors for each node, determined statically for 9x9 sudoku
;value: the 1-9 'number' value
numbers-own[ neighborhood value invu ok?-wait-list new-value improve-wait-list my-improve mode messages-handled message-queue improve-messages wt ]

globals [ num_maj_nodes num_maj_bars stoptick ]

to setup
  ca
  set-default-shape numbers "circle"
  set num_maj_nodes 12
  set num_maj_bars 8
  set stoptick -2
  ask patches [set pcolor white]
  setup-grid 
  setup-grid-turtles
  initialize-numbers
  setup-breakout
end

to setup-grid
  ;Grid: 15 X 15 space
  create-maj_nodes num_maj_nodes [set hidden? true]
  setup-maj
  create-turtles num_maj_bars [set hidden? true] ;workaround since links are no longer turtles (4.0) we need to use up 8 whos.
end

to setup-maj
  ;brute force isn't the prettiest, but its just a game board...
  ;making a modulating dynamic board is more complex than first contimplated
  ask maj_node 0 [ setxy -15 15 ]
  ask maj_node 1 [ setxy -5 15 ]
  ask maj_node 2 [ setxy 5 15 ]
  ask maj_node 3 [ setxy 15 15 ]
  ask maj_node 4 [ setxy -15 5 ]
  ask maj_node 5 [ setxy 15 5 ]
  ask maj_node 6 [ setxy -15 -5 ]
  ask maj_node 7 [ setxy 15 -5 ]
  ask maj_node 8 [ setxy -15 -15 ]
  ask maj_node 9 [ setxy -5 -15 ]
  ask maj_node 10 [ setxy 5 -15 ]
  ask maj_node 11 [ setxy 15 -15 ]
    
  ask maj_node 0 [ create-maj_bar-with maj_node 3  ]
  ask maj_node 4 [ create-maj_bar-with maj_node 5  ]
  ask maj_node 6 [ create-maj_bar-with maj_node 7  ]
  ask maj_node 8 [ create-maj_bar-with maj_node 11 ]
  ask maj_node 0 [ create-maj_bar-with maj_node 8  ]
  ask maj_node 1 [ create-maj_bar-with maj_node 9 ]
  ask maj_node 2 [ create-maj_bar-with maj_node 10  ]
  ask maj_node 3 [ create-maj_bar-with maj_node 11  ]
end


to setup-grid-turtles
  create-numbers 81  ;9x9 grid
  ask numbers [
    set color 0
    set label who
    set shape "none"
    set label-color black
    set message-queue [] ]
;Sector 1
  ask number ( num_maj_nodes + num_maj_bars + 0) [
    set neighborhood [ 21 22 23 24 25 26 27 28 29 30 31 38 39 40 47 50 53 74 77 80 ]
    setxy (-15 + ((9.75 / 3) - (9.75 / 6))) (15 - ((9.75 / 3) - (9.75 / 6))) ]
  ask number ( num_maj_nodes + num_maj_bars + 1) [
    set neighborhood [ 20 22 23 24 25 26 27 28 29 30 31 38 39 40 48 51 54 75 78 81 ]
    setxy (-15 + (2 * (9.75 / 3)) - (9.75 / 6)) (15 - ((9.75 / 3) - (9.75 / 6))) ]  
  ask number ( num_maj_nodes + num_maj_bars + 2) [
    set neighborhood [ 20 21 23 24 25 26 27 28 29 30 31 38 39 40 49 52 55 76 79 82 ]
    setxy (-15 + (3 * (9.75 / 3)) - (9.75 / 6)) (15 - ((9.75 / 3) - (9.75 / 6))) ]
  ask number ( num_maj_nodes + num_maj_bars + 3) [
    set neighborhood [ 20 21 22 24 25 26 27 28 32 33 34 41 42 43 47 50 53 74 77 80 ]
    setxy (-15 + ((9.75 / 3) - (9.75 / 6))) (15 - (2 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 4) [
    set neighborhood [ 20 21 22 23 25 26 27 28 32 33 34 41 42 43 48 51 54 75 78 81 ]
    setxy (-15 + (2 * (9.75 / 3)) - (9.75 / 6)) (15 - (2 * (9.75 / 3)) + (9.75 / 6)) ]  
  ask number ( num_maj_nodes + num_maj_bars + 5) [
    set neighborhood [ 20 21 22 23 24 26 27 28 32 33 34 41 42 43 49 52 55 76 79 82 ]
    setxy (-15 + (3 * (9.75 / 3)) - (9.75 / 6)) (15 - (2 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 6) [
    set neighborhood [ 20 21 22 23 24 25 27 28 35 36 37 44 45 46 47 50 53 74 77 80 ]
    setxy (-15 + ((9.75 / 3) - (9.75 / 6))) (15 - (3 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 7) [
    set neighborhood [ 20 21 22 23 24 25 26 28 35 36 37 44 45 46 48 51 54 75 78 81 ]
    setxy (-15 + (2 * (9.75 / 3)) - (9.75 / 6)) (15 - (3 * (9.75 / 3)) + (9.75 / 6)) ]  
  ask number ( num_maj_nodes + num_maj_bars + 8) [
    set neighborhood [ 20 21 22 23 24 25 26 27 35 36 37 44 45 46 49 52 55 76 79 82 ]
    setxy (-15 + (3 * (9.75 / 3)) - (9.75 / 6)) (15 - (3 * (9.75 / 3)) + (9.75 / 6)) ]
;Sector 2
  ask number ( num_maj_nodes + num_maj_bars + 9) [
    set neighborhood [ 30 31 32 33 34 35 36 37 20 21 22 38 39 40 56 59 62 83 86 89 ]
    setxy (-5 + ((9.75 / 3) - (9.75 / 6))) (15 - ((9.75 / 3) - (9.75 / 6))) ]
  ask number ( num_maj_nodes + num_maj_bars + 10) [
    set neighborhood [ 29 31 32 33 34 35 36 37 20 21 22 38 39 40 57 60 63 84 87 90 ]
    setxy (-5 + (2 * (9.75 / 3)) - (9.75 / 6)) (15 - ((9.75 / 3) - (9.75 / 6))) ]  
  ask number ( num_maj_nodes + num_maj_bars + 11) [
    set neighborhood [ 29 30 32 33 34 35 36 37 20 21 22 38 39 40 58 61 64 85 88 91 ]
    setxy (-5 + (3 * (9.75 / 3)) - (9.75 / 6)) (15 - ((9.75 / 3) - (9.75 / 6))) ]
  ask number ( num_maj_nodes + num_maj_bars + 12) [
    set neighborhood [ 29 30 31 33 34 35 36 37 23 24 25 41 42 43 56 59 62 83 86 89 ]
    setxy (-5 + ((9.75 / 3) - (9.75 / 6))) (15 - (2 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 13) [
    set neighborhood [ 29 30 31 32 34 35 36 37 23 24 25 41 42 43 57 60 63 84 87 90 ]
    setxy (-5 + (2 * (9.75 / 3)) - (9.75 / 6)) (15 - (2 * (9.75 / 3)) + (9.75 / 6)) ]  
  ask number ( num_maj_nodes + num_maj_bars + 14) [
    set neighborhood [ 29 30 31 32 33 35 36 37 23 24 25 41 42 43 58 61 64 85 88 91 ]
    setxy (-5 + (3 * (9.75 / 3)) - (9.75 / 6)) (15 - (2 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 15) [
    set neighborhood [ 29 30 31 32 33 34 36 37 26 27 28 44 45 46 56 59 62 83 86 89 ]
    setxy (-5 + ((9.75 / 3) - (9.75 / 6))) (15 - (3 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 16) [
    set neighborhood [ 29 30 31 32 33 34 35 37 26 27 28 44 45 46 57 60 63 84 87 90 ]
    setxy (-5 + (2 * (9.75 / 3)) - (9.75 / 6)) (15 - (3 * (9.75 / 3)) + (9.75 / 6)) ]  
  ask number ( num_maj_nodes + num_maj_bars + 17) [
    set neighborhood [ 29 30 31 32 33 34 35 36 26 27 28 44 45 46 58 61 64 85 88 91 ]
    setxy (-5 + (3 * (9.75 / 3)) - (9.75 / 6)) (15 - (3 * (9.75 / 3)) + (9.75 / 6)) ]
;Sector 3
  ask number ( num_maj_nodes + num_maj_bars + 18) [
    set neighborhood [ 39 40 41 42 43 44 45 46 20 21 22 29 30 31 65 68 71 92 95 98 ]
    setxy (5 + ((9.75 / 3) - (9.75 / 6))) (15 - ((9.75 / 3) - (9.75 / 6))) ]
  ask number ( num_maj_nodes + num_maj_bars + 19) [
    set neighborhood [ 38 40 41 42 43 44 45 46 20 21 22 29 30 31 66 69 72 93 96 99 ]
    setxy (5 + (2 * (9.75 / 3)) - (9.75 / 6)) (15 - ((9.75 / 3) - (9.75 / 6))) ]  
  ask number ( num_maj_nodes + num_maj_bars + 20) [
    set neighborhood [ 38 39 41 42 43 44 45 46 20 21 22 29 30 31 67 70 73 94 97 100]
    setxy (5 + (3 * (9.75 / 3)) - (9.75 / 6)) (15 - ((9.75 / 3) - (9.75 / 6))) ]
  ask number ( num_maj_nodes + num_maj_bars + 21) [
    set neighborhood [ 38 39 40 42 43 44 45 46 23 24 25 32 33 34 65 68 71 92 95 98 ]
    setxy (5 + ((9.75 / 3) - (9.75 / 6))) (15 - (2 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 22) [
    set neighborhood [ 38 39 40 41 43 44 45 46 23 24 25 32 33 34 66 69 72 93 96 99 ]
    setxy (5 + (2 * (9.75 / 3)) - (9.75 / 6)) (15 - (2 * (9.75 / 3)) + (9.75 / 6)) ]  
  ask number ( num_maj_nodes + num_maj_bars + 23) [
    set neighborhood [ 38 39 40 41 42 44 45 46 23 24 25 32 33 34 67 70 73 94 97 100]
    setxy (5 + (3 * (9.75 / 3)) - (9.75 / 6)) (15 - (2 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 24) [
    set neighborhood [ 38 39 40 41 42 43 45 46 26 27 28 35 36 37 65 68 71 92 95 98 ]
    setxy (5 + ((9.75 / 3) - (9.75 / 6))) (15 - (3 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 25) [
    set neighborhood [ 38 39 40 41 42 43 44 46 26 27 28 35 36 37 66 69 72 93 96 99 ]
    setxy (5 + (2 * (9.75 / 3)) - (9.75 / 6)) (15 - (3 * (9.75 / 3)) + (9.75 / 6)) ]  
  ask number ( num_maj_nodes + num_maj_bars + 26) [
    set neighborhood [ 38 39 40 41 42 43 44 45 26 27 28 35 36 37 67 70 73 94 97 100]
    setxy (5 + (3 * (9.75 / 3)) - (9.75 / 6)) (15 - (3 * (9.75 / 3)) + (9.75 / 6)) ]
;Sector 4
  ask number ( num_maj_nodes + num_maj_bars + 27) [
    set neighborhood [ 48 49 50 51 52 53 54 55 56 57 58 65 66 67 20 23 26 74 77 80 ]
    setxy (-15 + ((9.75 / 3) - (9.75 / 6))) (5 - ((9.75 / 3) - (9.75 / 6))) ]
  ask number ( num_maj_nodes + num_maj_bars + 28) [
    set neighborhood [ 47 49 50 51 52 53 54 55 56 57 58 65 66 67 21 24 27 75 78 81 ]
    setxy (-15 + (2 * (9.75 / 3)) - (9.75 / 6)) (5 - ((9.75 / 3) - (9.75 / 6))) ]  
  ask number ( num_maj_nodes + num_maj_bars + 29) [
    set neighborhood [ 47 48 50 51 52 53 54 55 56 57 58 65 66 67 22 25 28 76 79 82 ]
    setxy (-15 + (3 * (9.75 / 3)) - (9.75 / 6)) (5 - ((9.75 / 3) - (9.75 / 6))) ]
  ask number ( num_maj_nodes + num_maj_bars + 30) [
    set neighborhood [ 47 48 49 51 52 53 54 55 59 60 61 68 69 70 20 23 26 74 77 80 ]
    setxy (-15 + ((9.75 / 3) - (9.75 / 6))) (5 - (2 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 31) [
    set neighborhood [ 47 48 49 50 52 53 54 55 59 60 61 68 69 70 21 24 27 75 78 81 ]
    setxy (-15 + (2 * (9.75 / 3)) - (9.75 / 6)) (5 - (2 * (9.75 / 3)) + (9.75 / 6)) ]  
  ask number ( num_maj_nodes + num_maj_bars + 32) [
    set neighborhood [ 47 48 49 50 51 53 54 55 59 60 61 68 69 70 22 25 28 76 79 82 ]
    setxy (-15 + (3 * (9.75 / 3)) - (9.75 / 6)) (5 - (2 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 33) [
    set neighborhood [ 47 48 49 50 51 52 54 55 62 63 64 71 72 73 20 23 26 74 77 80 ]
    setxy (-15 + ((9.75 / 3) - (9.75 / 6))) (5 - (3 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 34) [
    set neighborhood [ 47 48 49 50 51 52 53 55 62 63 64 71 72 73 21 24 27 75 78 81 ]
    setxy (-15 + (2 * (9.75 / 3)) - (9.75 / 6)) (5 - (3 * (9.75 / 3)) + (9.75 / 6)) ]  
  ask number ( num_maj_nodes + num_maj_bars + 35) [
    set neighborhood [ 47 48 49 50 51 52 53 54 62 63 64 71 72 73 22 25 28 76 79 82 ]
    setxy (-15 + (3 * (9.75 / 3)) - (9.75 / 6)) (5 - (3 * (9.75 / 3)) + (9.75 / 6)) ]
;Sector 5
  ask number ( num_maj_nodes + num_maj_bars + 36) [
    set neighborhood [ 57 58 59 60 61 62 63 64 47 48 49 65 66 67 29 32 35 83 86 89 ]
    setxy (-5 + ((9.75 / 3) - (9.75 / 6))) (5 - ((9.75 / 3) - (9.75 / 6))) ]
  ask number ( num_maj_nodes + num_maj_bars + 37) [
    set neighborhood [ 56 58 59 60 61 62 63 64 47 48 49 65 66 67 30 33 36 84 87 90 ]
    setxy (-5 + (2 * (9.75 / 3)) - (9.75 / 6)) (5 - ((9.75 / 3) - (9.75 / 6))) ]  
  ask number ( num_maj_nodes + num_maj_bars + 38) [
    set neighborhood [ 56 57 59 60 61 62 63 64 47 48 49 65 66 67 31 34 37 85 88 91 ]
    setxy (-5 + (3 * (9.75 / 3)) - (9.75 / 6)) (5 - ((9.75 / 3) - (9.75 / 6))) ]
  ask number ( num_maj_nodes + num_maj_bars + 39) [
    set neighborhood [ 56 57 58 60 61 62 63 64 50 51 52 68 69 70 29 32 35 83 86 89 ]
    setxy (-5 + ((9.75 / 3) - (9.75 / 6))) (5 - (2 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 40) [
    set neighborhood [ 56 57 58 59 61 62 63 64 50 51 52 68 69 70 30 33 36 84 87 90 ]
    setxy (-5 + (2 * (9.75 / 3)) - (9.75 / 6)) (5 - (2 * (9.75 / 3)) + (9.75 / 6)) ]  
  ask number ( num_maj_nodes + num_maj_bars + 41) [
    set neighborhood [ 56 57 58 59 60 62 63 64 50 51 52 68 69 70 31 34 37 85 88 91 ]
    setxy (-5 + (3 * (9.75 / 3)) - (9.75 / 6)) (5 - (2 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 42) [
    set neighborhood [ 56 57 58 59 60 61 63 64 53 54 55 71 72 73 29 32 35 83 86 89 ]
    setxy (-5 + ((9.75 / 3) - (9.75 / 6))) (5 - (3 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 43) [
    set neighborhood [ 56 57 58 59 60 61 62 64 53 54 55 71 72 73 30 33 36 84 87 90 ]
    setxy (-5 + (2 * (9.75 / 3)) - (9.75 / 6)) (5 - (3 * (9.75 / 3)) + (9.75 / 6)) ]  
  ask number ( num_maj_nodes + num_maj_bars + 44) [
    set neighborhood [ 56 57 58 59 60 61 62 63 53 54 55 71 72 73 31 34 37 85 88 91 ]
    setxy (-5 + (3 * (9.75 / 3)) - (9.75 / 6)) (5 - (3 * (9.75 / 3)) + (9.75 / 6)) ]
;Sector 6
  ask number ( num_maj_nodes + num_maj_bars + 45) [
    set neighborhood [ 66 67 68 69 70 71 72 73 47 48 49 56 57 58 38 41 44 92 95 98 ]
    setxy (5 + ((9.75 / 3) - (9.75 / 6))) (5 - ((9.75 / 3) - (9.75 / 6))) ]
  ask number ( num_maj_nodes + num_maj_bars + 46) [
    set neighborhood [ 65 67 68 69 70 71 72 73 47 48 49 56 57 58 39 42 45 93 96 99 ]
    setxy (5 + (2 * (9.75 / 3)) - (9.75 / 6)) (5 - ((9.75 / 3) - (9.75 / 6))) ]  
  ask number ( num_maj_nodes + num_maj_bars + 47) [
    set neighborhood [ 65 66 68 69 70 71 72 73 47 48 49 56 57 58 40 43 46 94 97 100]
    setxy (5 + (3 * (9.75 / 3)) - (9.75 / 6)) (5 - ((9.75 / 3) - (9.75 / 6))) ]
  ask number ( num_maj_nodes + num_maj_bars + 48) [
    set neighborhood [ 65 66 67 69 70 71 72 73 50 51 52 59 60 61 38 41 44 92 95 98 ]
    setxy (5 + ((9.75 / 3) - (9.75 / 6))) (5 - (2 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 49) [
    set neighborhood [ 65 66 67 68 70 71 72 73 50 51 52 59 60 61 39 42 45 93 96 99 ]
    setxy (5 + (2 * (9.75 / 3)) - (9.75 / 6)) (5 - (2 * (9.75 / 3)) + (9.75 / 6)) ]  
  ask number ( num_maj_nodes + num_maj_bars + 50) [
    set neighborhood [ 65 66 67 68 69 71 72 73 50 51 52 59 60 61 40 43 46 94 97 100]
    setxy (5 + (3 * (9.75 / 3)) - (9.75 / 6)) (5 - (2 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 51) [
    set neighborhood [ 65 66 67 68 69 70 72 73 53 54 55 62 63 64 38 41 44 92 95 98 ]
    setxy (5 + ((9.75 / 3) - (9.75 / 6))) (5 - (3 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 52) [
    set neighborhood [ 65 66 67 68 69 70 71 73 53 54 55 62 63 64 39 42 45 93 96 99 ]
    setxy (5 + (2 * (9.75 / 3)) - (9.75 / 6)) (5 - (3 * (9.75 / 3)) + (9.75 / 6)) ]  
  ask number ( num_maj_nodes + num_maj_bars + 53) [
    set neighborhood [ 65 66 67 68 69 70 71 72 53 54 55 62 63 64 40 43 46 94 97 100]
    setxy (5 + (3 * (9.75 / 3)) - (9.75 / 6)) (5 - (3 * (9.75 / 3)) + (9.75 / 6)) ]
;Sector 7
  ask number ( num_maj_nodes + num_maj_bars + 54) [
    set neighborhood [ 75 76 77 78 79 80 81 82 83 84 85 92 93 94 20 23 26 47 50 53 ]
    setxy (-15 + ((9.75 / 3) - (9.75 / 6))) (-5 - ((9.75 / 3) - (9.75 / 6))) ]
  ask number ( num_maj_nodes + num_maj_bars + 55) [
    set neighborhood [ 74 76 77 78 79 80 81 82 83 84 85 92 93 94 21 24 27 48 51 54 ]
    setxy (-15 + (2 * (9.75 / 3)) - (9.75 / 6)) (-5 - ((9.75 / 3) - (9.75 / 6))) ]  
  ask number ( num_maj_nodes + num_maj_bars + 56) [
    set neighborhood [ 74 75 77 78 79 80 81 82 83 84 85 92 93 94 22 25 28 49 52 55 ]
    setxy (-15 + (3 * (9.75 / 3)) - (9.75 / 6)) (-5 - ((9.75 / 3) - (9.75 / 6))) ]
  ask number ( num_maj_nodes + num_maj_bars + 57) [
    set neighborhood [ 74 75 76 78 79 80 81 82 86 87 88 95 96 97 20 23 26 47 50 53 ]
    setxy (-15 + ((9.75 / 3) - (9.75 / 6))) (-5 - (2 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 58) [
    set neighborhood [ 74 75 76 77 79 80 81 82 86 87 88 95 96 97 21 24 27 48 51 54 ]
    setxy (-15 + (2 * (9.75 / 3)) - (9.75 / 6)) (-5 - (2 * (9.75 / 3)) + (9.75 / 6)) ]  
  ask number ( num_maj_nodes + num_maj_bars + 59) [
    set neighborhood [ 74 75 76 77 78 80 81 82 86 87 88 95 96 97 22 25 28 49 52 55 ]
    setxy (-15 + (3 * (9.75 / 3)) - (9.75 / 6)) (-5 - (2 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 60) [
    set neighborhood [ 74 75 76 77 78 79 81 82 89 90 91 98 99 100 20 23 26 47 50 53 ]
    setxy (-15 + ((9.75 / 3) - (9.75 / 6))) (-5 - (3 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 61) [
    set neighborhood [ 74 75 76 77 78 79 80 82 89 90 91 98 99 100 21 24 27 48 51 54 ]
    setxy (-15 + (2 * (9.75 / 3)) - (9.75 / 6)) (-5 - (3 * (9.75 / 3)) + (9.75 / 6)) ]  
  ask number ( num_maj_nodes + num_maj_bars + 62) [
    set neighborhood [ 74 75 76 77 78 79 80 81 89 90 91 98 99 100 22 25 28 49 52 55 ]
    setxy (-15 + (3 * (9.75 / 3)) - (9.75 / 6)) (-5 - (3 * (9.75 / 3)) + (9.75 / 6)) ]
;Sector 8
  ask number ( num_maj_nodes + num_maj_bars + 63) [
    set neighborhood [ 84 85 86 87 88 89 90 91 74 75 76 92 93 94 29 32 35 56 59 62 ]
    setxy (-5 + ((9.75 / 3) - (9.75 / 6))) (-5 - ((9.75 / 3) - (9.75 / 6))) ]
  ask number ( num_maj_nodes + num_maj_bars + 64) [
    set neighborhood [ 83 85 86 87 88 89 90 91 74 75 76 92 93 94 30 33 36 57 60 63 ]
    setxy (-5 + (2 * (9.75 / 3)) - (9.75 / 6)) (-5 - ((9.75 / 3) - (9.75 / 6))) ]  
  ask number ( num_maj_nodes + num_maj_bars + 65) [
    set neighborhood [ 83 84 86 87 88 89 90 91 74 75 76 92 93 94 31 34 37 58 61 64 ]
    setxy (-5 + (3 * (9.75 / 3)) - (9.75 / 6)) (-5 - ((9.75 / 3) - (9.75 / 6))) ]
  ask number ( num_maj_nodes + num_maj_bars + 66) [
    set neighborhood [ 83 84 85 87 88 89 90 91 77 78 79 95 96 97 29 32 35 56 59 62 ]
    setxy (-5 + ((9.75 / 3) - (9.75 / 6))) (-5 - (2 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 67) [
    set neighborhood [ 83 84 85 86 88 89 90 91 77 78 79 95 96 97 30 33 36 57 60 63 ]
    setxy (-5 + (2 * (9.75 / 3)) - (9.75 / 6)) (-5 - (2 * (9.75 / 3)) + (9.75 / 6)) ]  
  ask number ( num_maj_nodes + num_maj_bars + 68) [
    set neighborhood [ 83 84 85 86 87 89 90 91 77 78 79 95 96 97 31 34 37 58 61 64 ]
    setxy (-5 + (3 * (9.75 / 3)) - (9.75 / 6)) (-5 - (2 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 69) [
    set neighborhood [ 83 84 85 86 87 88 90 91 80 81 82 98 99 100 29 32 35 56 59 62 ]
    setxy (-5 + ((9.75 / 3) - (9.75 / 6))) (-5 - (3 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 70) [
    set neighborhood [ 83 84 85 86 87 88 89 91 80 81 82 98 99 100 30 33 36 57 60 63 ]
    setxy (-5 + (2 * (9.75 / 3)) - (9.75 / 6)) (-5 - (3 * (9.75 / 3)) + (9.75 / 6)) ]  
  ask number ( num_maj_nodes + num_maj_bars + 71) [
    set neighborhood [ 83 84 85 86 87 88 89 90 80 81 82 98 99 100 31 34 37 58 61 64 ]
    setxy (-5 + (3 * (9.75 / 3)) - (9.75 / 6)) (-5 - (3 * (9.75 / 3)) + (9.75 / 6)) ]
;Sector 9
  ask number ( num_maj_nodes + num_maj_bars + 72) [
    set neighborhood [ 93 94 95 96 97 98 99 100 74 75 76 83 84 85 38 41 44 65 68 71 ]
    setxy (5 + ((9.75 / 3) - (9.75 / 6))) (-5 - ((9.75 / 3) - (9.75 / 6))) ]
  ask number ( num_maj_nodes + num_maj_bars + 73) [
    set neighborhood [ 92 94 95 96 97 98 99 100 74 75 76 83 84 85 39 42 45 66 69 72 ]
    setxy (5 + (2 * (9.75 / 3)) - (9.75 / 6)) (-5 - ((9.75 / 3) - (9.75 / 6))) ]  
  ask number ( num_maj_nodes + num_maj_bars + 74) [
    set neighborhood [ 92 93 95 96 97 98 99 100 74 75 76 83 84 85 40 43 46 67 70 73 ]
    setxy (5 + (3 * (9.75 / 3)) - (9.75 / 6)) (-5 - ((9.75 / 3) - (9.75 / 6))) ]
  ask number ( num_maj_nodes + num_maj_bars + 75) [
    set neighborhood [ 92 93 94 96 97 98 99 100 77 78 79 86 87 88 38 41 44 65 68 71 ]
    setxy (5 + ((9.75 / 3) - (9.75 / 6))) (-5 - (2 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 76) [
    set neighborhood [ 92 93 94 95 97 98 99 100 77 78 79 86 87 88 39 42 45 66 69 72 ]
    setxy (5 + (2 * (9.75 / 3)) - (9.75 / 6)) (-5 - (2 * (9.75 / 3)) + (9.75 / 6)) ]  
  ask number ( num_maj_nodes + num_maj_bars + 77) [
    set neighborhood [ 92 93 94 95 96 98 99 100 77 78 79 86 87 88 40 43 46 67 70 73 ]
    setxy (5 + (3 * (9.75 / 3)) - (9.75 / 6)) (-5 - (2 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 78) [
    set neighborhood [ 92 93 94 95 96 97 99 100 80 81 82 89 90 91 38 41 44 65 68 71 ]
    setxy (5 + ((9.75 / 3) - (9.75 / 6))) (-5 - (3 * (9.75 / 3)) + (9.75 / 6)) ]
  ask number ( num_maj_nodes + num_maj_bars + 79) [
    set neighborhood [ 92 93 94 95 96 97 98 100 80 81 82 89 90 91 39 42 45 66 69 72 ]
    setxy (5 + (2 * (9.75 / 3)) - (9.75 / 6)) (-5 - (3 * (9.75 / 3)) + (9.75 / 6)) ]  
  ask number ( num_maj_nodes + num_maj_bars + 80) [
    set neighborhood [ 92 93 94 95 96 97 98 99 80 81 82 89 90 91 40 43 46 67 70 73 ]
    setxy (5 + (3 * (9.75 / 3)) - (9.75 / 6)) (-5 - (3 * (9.75 / 3)) + (9.75 / 6)) ]
end

to initialize-numbers
  ask numbers [ 
    set value ((random 9) + 1)
    set invu inv-utility
    set label value ]
end

to-report inv-utility
  let counter 0
  
  set counter 0
  foreach neighborhood [
    if ( value = [value]  of (number ?) ) [ set counter (counter + 1) ] ]
  report counter
end

to-report make-list [num element]
  let i 0
  let result 0
  
  set i 0
  set result []
  while [i < num] [
    set result lput element result
    set i i + 1
    ]
  report result
end

to edit
  if mouse-down? [
    let closest-number min-one-of numbers [distancexy-nowrap mouse-xcor mouse-ycor]
    set [value] of closest-number (([value] of closest-number) + 1) mod 10
    set [label] of closest-number ([value] of closest-number)
    wait .2
  ]
end
;;;;;;;;;;
;;;breakout algorithm

;Initialize the breakout algorithm
to setup-breakout
  ask numbers [
    set wt 1
    set ok?-wait-list neighborhood ;;;
    set improve-wait-list neighborhood ;;;
    set mode "wait-ok?"
    set messages-handled 0
;    show "ok? " + who + " " + value
    without-interruption [
    foreach neighborhood [
      ask number ? [ set message-queue lput (list "ok?" ([who] of myself) (value)) message-queue ] ] ] ]
end

to go-breakout
  plot (sum [total-cost-local value] of numbers)
  ask numbers [ ifelse ((total-cost-local value) = 0) [ set label-color green ] [ set label-color red ] ]
  if (sum [ total-cost-local value ] of numbers = 0) [stop] ;yes, this is cheating, but the 2000 algorithm does not have a termination condition.
  tick
  ask numbers [
    set message-queue lput "done" message-queue
    ]
  ask numbers [handle-messages-until-done] ;or get rid of "done" message and call handle-message to do one at a time.
end

;In the 2000 paper they consider one cycle to be the handling of *all* messages in the 
;queue. This seems unrealistic since agents could (and do) have varying numbers of messages.
to handle-message
  ifelse (mode = "wait-ok?")[
    handle-ok-message
    ][
    handle-improve-message
    ]
end

to handle-messages-until-done
  while [first message-queue != "done"][
    handle-message]
  set message-queue but-first message-queue
end

to-report get-next-message [msg-type]
  let i 0
  let msg 0
  
  set i 0
  set msg []
  while [i < length message-queue][
    if (first item i message-queue = msg-type)[
      set msg item i message-queue
      set message-queue remove-item i message-queue
      set i length message-queue]
    set i i + 1]
  report msg
end
   
to handle-ok-message
  let msg 0
  
  set msg (get-next-message "ok?")
  if (empty? msg) [stop]
  set messages-handled messages-handled + 1
  set ok?-wait-list remove (item 1 msg) ok?-wait-list
  if (empty? ok?-wait-list)[
    set ok?-wait-list neighborhood ;;;
    send-improve
    set improve-messages []
    set mode "wait-improve"]   
end

;reports the cost for the agent using its current agent-view
to-report total-cost-local [ val ]
  let counter 0
  
  set counter 0
  foreach neighborhood [
    if ( val = [ value ] of (number ?) ) [ set counter (counter + (counter + ( [ wt ] of (number ?)))) ] ]
  report counter
end

to send-improve
  let current-eval 0
  let current-number 0
  let best-cost 0
  let c 0
  
  set current-eval (total-cost-local value)
  set best-cost 10000
  set current-number value
  foreach [1 2 3 4 5 6 7 8 9] [
    set c total-cost-local ? 
    if (c < best-cost) [
      set best-cost c
      set new-value ?]
  ]
  ;show "Current-eval " + current-eval + "  Best cost " + best-cost
  set my-improve current-eval - best-cost ;will be >= 0
  ;show "improve " + who + " " + my-improve + " " + current-eval
  foreach neighborhood [
  ask number ? [
    set message-queue lput (list "improve" ([who] of myself) ([my-improve] of myself) current-eval) message-queue] ] ;Algorithm never uses current-eval. Bug in the paper.
end

to handle-improve-message
 let msg 0
  
 set msg (get-next-message "improve")
 if (empty? msg) [stop]
 set messages-handled messages-handled + 1
 set improve-wait-list remove (item 1 msg) improve-wait-list
 set improve-messages fput msg improve-messages
 if (empty? improve-wait-list)[
    set improve-wait-list neighborhood ;;;
    send-ok
    set mode "wait-ok?"]   
end


to send-ok
  let max-improve 0
  
  set max-improve max map [item 2 ?] improve-messages
  ;show "maxi=" + max-improve + " myi=" + my-improve
  ;show "im=" + improve-messages
  ;show "otherw=" + min map [item 1 ?] (filter [item 2 ? = max-improve] improve-messages)

  ;"when its improvement is largest among neighbors" actually means: (from 1996)
  ;if improvement is 0 and either my improvement is strictly larger than all neighbors or
  ;                               there is a tie but my 'who' is smallest.
  if ((my-improve > 0) 
      and
      ((my-improve = max-improve and
         who < min map [item 1 ?] (filter [item 2 ? = max-improve] improve-messages)) ;;tie, I win if my who is smaller
         or
         (my-improve > max-improve)))[ ;;my improvement is better
;    show "setting value"
    set value new-value
    set invu inv-utility]
 
  ;In the 1996 paper they define quasi-local minimum as: (it is not well-defined in 2000 paper):
  ; x is violating some constraint, and the possible improvements of x and all of its neighbors is 0.
  if ((total-cost-local value) > 0 and my-improve = 0 and reduce [?1 and ?2] (map [0 = item 2 ?] improve-messages))[
    foreach neighborhood [
      if ( value = [ value ] of (number ?)  ) [ set wt (wt + 1) ]  ]
  ]
  set label value
;  show "ok? " + who + " " + color
  foreach neighborhood [
  ask number ? [
      set message-queue lput (list "ok?" ([who] of myself) (value)) message-queue] ]
end
@#$#@#$#@
GRAPHICS-WINDOW
303
10
733
461
17
17
12.0
1
10
1
1
1
0
0
0
1
-17
17
-17
17
0
0
1
ticks

CC-WINDOW
5
475
742
570
Command Center
0

BUTTON
69
79
132
112
NIL
setup
NIL
1
T
OBSERVER
NIL
NIL
NIL
NIL

BUTTON
32
127
132
160
NIL
go-breakout
NIL
1
T
OBSERVER
NIL
NIL
NIL
NIL

BUTTON
145
127
245
160
NIL
go-breakout
T
1
T
OBSERVER
NIL
NIL
NIL
NIL

MONITOR
69
194
217
247
Total Cost - Current Tick
sum [ total-cost-local value ] of numbers 
0
1
13

PLOT
40
242
240
392
Total Cost
Time (ticks)
Cost
0.0
10.0
0.0
10.0
true
false
PENS
"default" 1.0 0 -16777216 true

BUTTON
146
79
209
112
NIL
edit
T
1
T
OBSERVER
NIL
NIL
NIL
NIL

@#$#@#$#@
Title: Sodoku with Distributed Breakout
Author: William Wiles and Jose M. Vidal

Description: Generates and solves a Sodoku problem using distributed breakout
<ul><li>Makoto Yokoo and Katsutoshi Hirayama. <a href="http://jmvidal.cse.sc.edu/lib/yokoo96a.html">Distributed Breakout Algorithm for Solving Distributed Constraint Satisfaction Problems</a>. In <i>Proceedings of the Second International Conference on Multiagent Systems,</i> p. 401--408, 1996.</li>
</ul>

You can edit the puzzle by pushing "edit" and then clicking on a number; it will increase by 1.

--------

Current Bugs:
	Quasi-Local Minimum Problem. Distributed DB solves it, but it takes a while for some odd reason.

Future: User Input.
	Was thinking about possibly adding file i/o to read in sudoku puzzles.

References:
	http://jmvidal.cse.sc.edu/netlogomas/
	Distributed Breakout Source
@#$#@#$#@
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fish
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flag
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flower
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line
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@#$#@#$#@
NetLogo 4.0
@#$#@#$#@
@#$#@#$#@
@#$#@#$#@
@#$#@#$#@
@#$#@#$#@
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@#$#@#$#@