#Games that are too hard: (Don't use) #Labeled as Game 1 on Prolific: no fixed rows or columns a =[ [["5 2", "1 1 4", "1 2 1 2", "1 4", "2 3", "1 2 2", "2 1 1", "2 1 2", "4 1", "2 2 1 1"], ["1 1 1", "1 2 1", "7 1", "1 1 1 2", "2 1 1 2", "1 1 2", "4 3", "1 2 1 1", "3 3 1", "3 1 1"]] #max 7 ] a_sol = [ [[1, 1, 1, 1, 1, 0, 0, 0, 1, 1], [0, 0, 1, 0, 1, 0, 1, 1, 1, 1], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 0, 0], [0, 0, 1, 1, 0, 0, 1, 1, 1, 0], [0, 0, 1, 0, 1, 1, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 1, 0], [1, 1, 0, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 1, 1, 1, 1, 0, 1, 0], [0, 1, 1, 0, 1, 1, 0, 1, 0, 1]], ] green = 54 gray = 46 #Games that seem to be too easy: (Also don't use) #Labeled as Game 2 on Prolific: two fixed rows, two fixed columns a =[ [["3 2 3","2 1 1 1 1","4 1 1","1 2 2","1 1 1 3","3 3","1 3 3","3 1 1","3 1 3","1 1 2 2"], ["4 2 2","3 2 1","1 1 5","2 1 2","1 1 2","2 2 2","1 1","3 5","1 4 2","5 4"]] ] a_sol = [ [[1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 0, 0, 1, 0, 1], [1, 0, 0, 0, 1, 1, 0, 0, 1, 1], [0, 1, 0, 1, 0, 1, 0, 1, 1, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 1, 1, 1, 0, 0, 1, 0, 1], [1, 1, 1, 0, 0, 1, 0, 1, 1, 1], [1, 0, 1, 0, 0, 1, 1, 0, 1, 1]] ] green = 62 gray = 38 #Game 3: (I used 3:20) last row fixed with2212, second last column fixed with 341 #Not tested on Prolific a =[ [["3","2 1","6 1","2 2 1","1 3 2","4 1 2","1 2 1 2","1 2 2 1","2 2 1","2 2 1 2"], ["2 4 1","2 1 1","2 4","2 5","1 1 1","3 2","3 3","1 1","3 4 1","1 4 2"]] ] a_sol = [ [[0, 0, 0, 0, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 1, 1, 1, 1, 0, 0, 1, 0], [0, 0, 1, 1, 0, 1, 1, 0, 0, 1], [1, 0, 0, 0, 1, 1, 1, 0, 1, 1], [1, 1, 1, 1, 0, 0, 1, 0, 1, 1], [1, 0, 1, 1, 0, 1, 0, 0, 1, 1], [1, 0, 1, 1, 0, 1, 1, 0, 1, 0], [0, 0, 1, 1, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 0, 1, 0, 1, 1]] ] green = 55 gray = 45 #Game 4: (I use 3:53) one fixed row in the middle with 2113 #Not tested on Prolific a =[ [["2 3 1","2 1 1 1","1 1 2","1 1 3","2 1 1 3","3 2","4 1","1 1 2","3 1 2","1 1 1"], ["1 3 1","1 1 3","1 1 2 1","3 3 1","1 2 1","2 1 1","1 2","4 3","1 4 1","1 2 1"]] ] a_sol = [[ [1, 1, 0, 1, 1, 1, 0, 0, 1, 0], [0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 0, 1, 1, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 0], [1, 1, 0, 1, 0, 1, 0, 1, 1, 1], [0, 0, 1, 1, 1, 0, 0, 0, 1, 1], [0, 1, 1, 1, 1, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 1, 0, 1, 1, 0], [1, 1, 1, 0, 1, 0, 1, 1, 0, 0], [0, 0, 0, 1, 0, 0, 1, 0, 0, 1] ]] green = 50 gray = 50 #Game 5: (I use 4:49), one row in the middle fixed with 21111, second last column fixed with 512 #Looks good,can use a =[[ ["3 4","1 3 1","2 6","1 1 2 1","2 2","1 1 2","1 1 2","2 1 1 1 1","1 3","2 2"], ["1 2 1 1","1 1 1 1","2 1 1 1","1 1","3 1 1","5 1","3 2 1","1 1 1 3","5 1 2","1 1 2"] ]] a_sol = [[ [1, 1, 1, 0, 0, 1, 1, 1, 1, 0], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0], [1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 0, 1, 0, 1, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1, 1, 0, 1, 1], [1, 0, 0, 1, 0, 0, 1, 1, 0, 0], [0, 0, 1, 0, 1, 0, 0, 0, 1, 1], [1, 1, 0, 1, 0, 1, 0, 1, 0, 1], [0, 0, 0, 0, 1, 0, 1, 1, 1, 0], [0, 1, 1, 0, 0, 0, 0, 1, 1, 0] ]] green = 51 gray = 49 #Game 6: (I use 4:45), one row in the middle fixed with 3121, one column in the middle fixed with 1141 #Looks good,can use a =[[ ["3 3 1","1 2 1","3 1 1","1 1","5 1 1","3 1 1 1","4 1 1","3 1 2 1","1 2 3","1 2 2"], ["1 2 2","1 1 4","1 1 4 1","2 1 1 1","1 7","1 1","3 2 2","1 3","1 1 1 2","1 2 2 1"] ]] a_sol = [[ [1, 1, 1, 0, 1, 1, 1, 0, 1, 0], [0, 0, 0, 1, 0, 0, 1, 1, 0, 1], [0, 1, 1, 1, 0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 1], [1, 1, 1, 1, 1, 0, 1, 0, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 1, 0, 0, 1, 0, 1], [1, 1, 1, 0, 1, 0, 1, 1, 0, 1], [1, 0, 0, 1, 1, 0, 1, 1, 1, 0], [0, 0, 1, 0, 1, 1, 0, 0, 1, 1] ]] green = 55 gray = 45 # new games to be tested on Prolific that are harder than before: # no fixed row or column: a =[ [["1 1 2 1","2 1 1","2 4 1","3 1","2 2 1","2 4 1","1 4","5 1","2 4","4 1 1"], ["1 1 1","2 2 2","2 1 3","1 2 2 1","4 1","1 2 1 1","3 4","5 2","2 1 1","1 5"]] #max 5 ] a_sol = [[ [1, 0, 0, 1, 0, 1, 1, 0, 1, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 0], [0, 1, 1, 0, 1, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 0, 0, 1, 0, 0], [0, 1, 1, 0, 1, 1, 1, 1, 0, 1], [0, 0, 0, 1, 0, 0, 1, 1, 1, 1], [0, 0, 1, 1, 1, 1, 1, 0, 0, 1], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 0, 1, 0, 1] ]] a =[ [["4","1 3 1 1","1 1 2","4 1","2 4","2 3 1","1 1 5","4 3","1 1 2 1","3 2"], ["2 1","1 1 2","5 1","1 3 3","2 1 1","2 3 1","1 3 2","2 4 1","1 3 3","2 3"]] ] a_sol = [[ [0, 0, 0, 0, 0, 1, 1, 1, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 0, 1], [1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [1, 1, 1, 1, 0, 0, 0, 0, 1, 0], [0, 0, 1, 1, 0, 1, 1, 1, 1, 0], [0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [1, 0, 1, 0, 0, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 1, 0, 1, 0, 1, 1, 0, 1, 0], [0, 0, 1, 1, 1, 0, 1, 1, 0, 0] ]] a =[[ ["2 1 3","1 2 1 1","1 2 1","1 1 5","1 2 2","1 3 1","1 5","3 1","4 3","1 3 1 1"], ["3 1 1","1 1 1 1","1 3","4 4","2 2 2","1 2 1","2 1 2 1","1 2 3","1 4 2","1 2 1 1"] ]] a_sol = [[ [1, 1, 0, 0, 1, 0, 1, 1, 1, 0], [1, 0, 0, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 1, 0, 1, 1, 1, 1, 1], [1, 0, 0, 1, 1, 0, 0, 0, 1, 1], [0, 1, 0, 0, 1, 1, 1, 0, 1, 0], [0, 0, 0, 1, 0, 1, 1, 1, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 0, 0], [0, 0, 1, 1, 1, 1, 0, 1, 1, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1, 0] ]] a =[[ ["1 4 1", "2 4", "2 2 1", "2 3 1", "2 1 1", "2 5", "2 1 2", "1 1 2", "2 1 3", "1 1 4"], ["1 2 2", "3 2", "2 4", "1 5", "1 2 2", "2 1 1", "1 3 2", "1 1 3", "2 5", "1 4 1"] ]] a_sol = [[ [1, 0, 1, 1, 1, 1, 0, 0, 0, 1], [0, 1, 1, 0, 0, 1, 1, 1, 1, 0], [1, 1, 0, 1, 1, 0, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 1, 0, 0, 1, 0, 0, 1], [0, 0, 1, 1, 0, 1, 1, 1, 1, 1], [0, 0, 1, 1, 0, 0, 1, 0, 1, 1], [1, 0, 1, 0, 0, 0, 0, 1, 1, 0], [1, 1, 0, 0, 1, 0, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 1, 1, 1, 1] ]] a =[[ ["4", "4 1 2", "1 1 2 2", "2 2 1", "4 1 1", "4 1 2", "1 1 1 1 1", "1 1 1 1", "2 1 2 1", "2 1 2"], ["2 4", "1 3 1", "5 1", "1 3 2", "1 2 1", "4 3", "1 1 2 2", "2 1 2", "2 2 2", "1 2 1"] ]] a_sol = [[ [0, 0, 0, 0, 1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 0, 1, 0, 1, 1, 0], [1, 0, 1, 0, 0, 1, 1, 0, 1, 1], [0, 1, 1, 0, 1, 1, 0, 1, 0, 0], [0, 1, 1, 1, 1, 0, 1, 0, 1, 0], [1, 1, 1, 1, 0, 0, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 1, 0, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0], [0, 0, 0, 1, 1, 0, 1, 0, 1, 1] ]] #one fixed row or one fixed column: # Prolific practice game: a =[[ ["1 3 1", "1 1 1 2", "1 1", "5 1 2", "1 1 3", "2 3 1", "2 2 1", "3 1 2", "2 4", "3 3 1"], ["2 2 1", "1 5", "1 1 5", "2 1", "3 2 1", "1 5", "1 3 2", "2 1 1 1", "5 3", "1 1 1"] #as practice game on Prolific ]] a_sol = [[ [1, 0, 0, 0, 0, 1, 1, 1, 0, 1], [1, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 0, 0, 0, 1, 0], [1, 1, 1, 1, 1, 0, 1, 0, 1, 1], [1, 0, 0, 1, 0, 0, 1, 1, 1, 0], [0, 1, 1, 0, 1, 1, 1, 0, 1, 0], [0, 1, 1, 0, 1, 1, 0, 1, 0, 0], [0, 1, 1, 1, 0, 1, 0, 0, 1, 1], [0, 1, 1, 0, 0, 1, 1, 1, 1, 0], [1, 1, 1, 0, 1, 1, 1, 0, 1, 0] ]] #prolificgame=1: tested: 521 a =[[ ["2 1 1", "1 2", "1 2 1 1", "1 5 1", "5 2 1", "1 1 2 2", "2 2 1 1", "1 1 2", "2 2 1", "2 2 3"], ["4 1 1", "1 1 1", "2 3", "1 3 2", "1 4 2", "1 1 2", "5 2", "4 2", "1 1 1 1", "3 4"] # tested on Prolific, seems good ]] a_sol = [[ [0, 0, 0, 1, 1, 0, 1, 0, 1, 0], [0, 0, 1, 0, 0, 1, 1, 0, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 0, 1], [1, 0, 0, 1, 1, 1, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 0, 1, 0, 1, 1, 0, 1, 1, 0], [0, 1, 1, 0, 1, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 1, 1], [0, 0, 0, 1, 1, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 0, 0, 1, 1, 1] ]] #prolificgame=2: tested: 215 a =[[ ["2 2", "1 1 3", "1 4", "4 2", "1 1 2 1", "2 1 5", "1 2 2", "1 3 2", "1 1 2 1", "1 3 1 1"], ["4 3", "1 1 2", "1 2 3", "1 1 1 1 1", "2 4", "1 3 1", "4 1", "4 2 1", "2 4", "1 1 1 1"] ]] a_sol = [[ [0, 0, 1, 1, 0, 0, 0, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 1, 1], [1, 0, 0, 0, 1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 0, 0, 1, 1, 0, 0], [1, 0, 1, 0, 0, 1, 1, 0, 1, 0], [1, 1, 0, 1, 0, 1, 1, 1, 1, 1], [0, 1, 0, 0, 1, 1, 0, 1, 1, 0], [1, 0, 1, 1, 1, 0, 0, 0, 1, 1], [1, 0, 1, 0, 1, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0, 1, 0, 0, 1] ]] #prolificgame=3: tested, 143 a =[[ ["3 1", "2 3", "1 4 3", "2 1 2 1", "1 5", "1 1 2", "2 5", "1 1 2 2", "1 1 1", "3 1 2"], ["3 2 1", "2 1 2 1", "3 3", "1 4", "2 1 1", "4 3", "1 2 2 1", "1 1 1 1", "1 4", "1 2 3"] ]] a_sol = [[ [0, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 1, 1, 0, 1, 1, 1, 0, 0, 0], [1, 0, 1, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 0, 1, 1, 0, 0, 1], [1, 0, 0, 1, 1, 1, 1, 1, 0, 0], [0, 1, 0, 1, 0, 0, 0, 0, 1, 1], [1, 1, 0, 0, 0, 1, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 1, 0, 1, 1], [0, 0, 1, 0, 0, 1, 0, 0, 1, 0], [1, 1, 1, 0, 1, 0, 1, 1, 0, 0] ]] #prolificgame=4: tested, 431 a =[[ ["2 2 1", "2 2 1 1", "1 2 1", "2 2 3", "1 2", "4 3 1", "1 1 3", "1 4", "1 4 2", "2 2 1"], ["1 5", "4 1", "1 1 1 1", "2 1 3", "4 4", "1 1 1 2", "2 2 2", "4 1", "2 1 1 1", "1 2 2"] ]] a_sol = [[ [0, 1, 1, 0, 1, 1, 0, 0, 1, 0], [1, 1, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 0, 1, 0, 0, 0], [0, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 0, 0, 0, 0, 1, 1, 0, 0], [1, 1, 1, 1, 0, 1, 1, 1, 0, 1], [1, 0, 0, 0, 1, 0, 0, 1, 1, 1], [1, 0, 1, 1, 1, 1, 0, 0, 0, 0], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 1, 0, 1, 1, 0, 1] ]] #prolificgame=5: 413, tested, but might be too easy a =[[ ["2 4 1", "4 2", "1 3 1", "2 4", "4 1 3", "2 2 2", "1 5", "1 1 1", "1 1 1", "2 1 2"], ["1 3 3", "1 4 1", "1 2", "2 1 1", "4 2", "2 4 1", "2 1 2 1", "1 2 3", "2 3", "2 3"] ]] a_sol = [[ [1, 1, 0, 0, 1, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 0, 0, 0, 1, 0], [1, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 0, 1, 0, 1, 1, 1], [0, 1, 1, 0, 0, 1, 1, 0, 1, 1], [0, 1, 0, 0, 0, 1, 1, 1, 1, 1], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0], [1, 1, 0, 1, 0, 1, 1, 0, 0, 0] ]] #prolificgame=6: quite hard 3121: seems good a =[[ ["1 1 1", "3 1 1", "3 1 2 1", "1 1 2", "1 3 3", "3 2 2", "2 1 2", "2 1 2", "3 3", "2 3 1"], ["1 3 1", "3 5", "3 2 2", "1 2 1 1", "1 2", "1 1 3 1", "1 2 1 2", "1 2 3", "2 2", "3 1 1"] ]] a_sol = [[ [0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 0, 0, 0, 1], [1, 1, 1, 0, 1, 0, 1, 1, 0, 1], [0, 1, 0, 1, 0, 1, 1, 0, 0, 0], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 1, 0, 1, 1, 0], [1, 1, 0, 1, 0, 1, 1, 0, 0, 0], [0, 1, 1, 0, 0, 1, 0, 1, 1, 0], [0, 1, 1, 1, 0, 0, 1, 1, 1, 0], [1, 1, 0, 0, 0, 1, 1, 1, 0, 1] ]] #so far game 1, 2, and 6 are similar #prolificgame7: 314 a =[[ ["2 4", "3 1 1", "1 4 1", "1 1 2 1", "3 1", "1 1", "3 1 4", "4 1 1", "1 3 2", "3 1 3"], ["4 3", "2 1 2 1", "1 2 4", "1 1 3", "3 2 1", "1 1 1 1", "1 2 2 1", "2 1 2", "1 1 1 1", "2 2 1"] ]] a_sol = [[ [1, 1, 0, 1, 1, 1, 1, 0, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 1, 0], [1, 0, 0, 0, 1, 1, 1, 1, 0, 1], [1, 0, 1, 0, 0, 0, 1, 1, 0, 1], [0, 1, 1, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 0, 1, 0, 0, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 0, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 1, 0, 0], [0, 1, 1, 1, 0, 1, 0, 1, 1, 1] ]] # 6 7 8 are similar #prolificgame8: quite hard: no fixed row or column a =[[ ["2 2 2", "1 1", "1 3 3", "1 2 2 1", "2 1 2 1", "2 1 1", "1 2 1", "1 1 1 3", "2 5", "2 4 1"], ["3 3", "1 2 2", "1 1 1 1", "4 1 1", "1 1 1 1 1", "1 3 2", "1 2 1 2", "1 1 3", "1 2 1 2", "1 1 4"] ]] a_sol = [[ [0, 1, 1, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 1, 0, 0, 1, 0, 0, 0], [1, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 0, 1, 1, 0, 1, 1, 0, 1, 0], [1, 1, 0, 1, 0, 1, 1, 0, 0, 1], [0, 1, 1, 0, 1, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 0, 1, 1, 0, 1], [1, 0, 1, 0, 1, 0, 0, 1, 1, 1], [1, 1, 0, 0, 0, 1, 1, 1, 1, 1], [1, 1, 0, 1, 1, 1, 1, 0, 0, 1] ]] #very hard: no fixed row or column a =[[ ["1 2", "4 2 1", "1 4 2", "2 4", "1 1 1", "1 5 1", "1 1 1 1", "1 3 1 1", "1 2 1 2", "3 1 2"], ["2 3 1", "1 1 2", "4 1 1", "3 4", "1 2 3", "3 3", "2 1 1 1", "1 2 1", "3 2", "3 1 2"] ]] a_sol = [[ [0, 0, 1, 0, 0, 1, 1, 0, 0, 0], [1, 1, 1, 1, 0, 1, 1, 0, 0, 1], [1, 0, 1, 1, 1, 1, 0, 0, 1, 1], [0, 0, 1, 1, 0, 0, 1, 1, 1, 1], [0, 1, 0, 0, 1, 0, 0, 0, 1, 0], [1, 0, 1, 1, 1, 1, 1, 0, 0, 1], [1, 0, 0, 1, 0, 1, 0, 1, 0, 0], [1, 0, 0, 1, 1, 1, 0, 1, 0, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 0] ]] #very hard: no fixed row or column: a =[[ ["2 3 1", "1 5 1", "1 2 3", "2 1", "2 3", "2 2", "1 1 1 2", "3 3", "4 4", "1 1 2 1"], ["1 1 1 3", "2 2 3", "1 2", "3 1 1", "4 1 1", "2 1 1", "1 1 4", "2 1 3", "1 1 1 3", "3 1 2"] ]] a_sol = [[ [1, 1, 0, 1, 1, 1, 0, 0, 1, 0], [0, 1, 0, 1, 1, 1, 1, 1, 0, 1], [1, 0, 0, 1, 1, 0, 0, 1, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 1, 0], [0, 1, 1, 0, 1, 1, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 1, 0, 1, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0], [1, 1, 1, 1, 0, 0, 1, 1, 1, 1], [0, 1, 0, 0, 1, 0, 1, 1, 0, 1] ]] #quite hard: no fixed row or column: a =[[ ["1 1 1 3", "1 1 1 1 1", "1 2 1", "1 1 3", "1 1 1 3", "4 2 1", "1 1 1 2", "2 1 2 1", "5 1", "1 1 1 2"], ["2 4 1", "1 1 2", "1 1 2 2", "1 1 2 1", "1 1 1 3", "2 2 1", "2 1", "5 1 1", "1 4 1", "2 1 3"] ]] a_sol = [[ [1, 0, 1, 0, 1, 0, 0, 1, 1, 1], [1, 0, 0, 1, 0, 1, 0, 1, 0, 1], [0, 0, 1, 0, 1, 1, 0, 1, 0, 0], [0, 1, 0, 1, 0, 0, 0, 1, 1, 1], [1, 0, 1, 0, 1, 0, 1, 1, 1, 0], [1, 1, 1, 1, 0, 1, 1, 0, 1, 0], [1, 0, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1], [0, 1, 1, 1, 1, 1, 0, 0, 0, 1], [1, 0, 1, 0, 1, 0, 0, 1, 1, 0] ]]