SPARC / human_annotation /human_run_2_4.jsonl
jamilalthani1's picture
Duplicate from lkaesberg/SPaRC
966c7b0 verified
{"difficulty_level":5,"difficulty_score":4.392914198470513,"grid_size":{"height":5,"width":3},"id":"dedb9695c830d9a1","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"864\":[[0,0,1,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","S","+","+"],["+","P-O-4368","+","N","+","A-W","+"],["+","+","+","+","+","+","+"],["+","o-W","+","N","+","P-W-4368","+"],["+","+","+","+","+","+","+"],["+","P-B-48","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","P-B-16","+"],["+","+","+","+","+","+","+"],["+","P-B-864","+","P-R-16","+","P-R-16","+"],["+","+","+","+","E","G","+"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":31},{"index":1,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":35},{"index":2,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":31},{"index":3,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":27},{"index":4,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":39},{"index":5,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 4\n y: 0\n end:\n x: 4\n y: 10\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"blue\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 864\n color: \"blue\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"red\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"white\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"blue\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"red\"\n - position:\n x: 5\n y: 10\n properties:\n gap: 1\n"}
{"difficulty_level":1,"difficulty_score":0.7615628070977487,"grid_size":{"height":2,"width":3},"id":"9a0559017cacdd9c","polyshapes":"{\"8976\":[[0,1,1,0],[0,0,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[[".","+","+","+","+","+","E"],["+","N","+","N","+","o-G","+"],["+","+","+","G",".","+","+"],["+","N","+","N","+","P-G-8976","+"],["+","+","+","S","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":18}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 3\n y: 4\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 8976\n color: \"green\"\n"}
{"difficulty_level":3,"difficulty_score":2.722851210564326,"grid_size":{"height":2,"width":3},"id":"8b47902d43ed5c7","polyshapes":"{}","puzzle_array":[["+","+","+","E","+","+","+"],["+","*-B","+","*-B","+","*-B","+"],["+","+","+","+","+","+","+"],["+","*-B","+","*-B","+","A-B","+"],["+","S","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":19}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 1\n y: 4\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n"}
{"difficulty_level":2,"difficulty_score":1.8210114488947993,"grid_size":{"height":5,"width":2},"id":"fb69acc1bff1c7b5","polyshapes":"{\"1808\":[[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","N","+","o-Y","+"],["+","+","+","G","+"],["+","N","+","P-Y-816","+"],["+","+","+","+","."],["+","P-Y-48","+","N","+"],["+","+","+","G","+"],["+","N","G","N","E"],["+","G","+","+","+"],["+","P-O-1808","+","N","G"],["+","+","+","S","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7}],"pathLength":29},{"index":1,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7}],"pathLength":17},{"index":2,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 3\n y: 10\n end:\n x: 4\n y: 7\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"yellow\"\n - position:\n x: 1\n y: 8\n properties:\n gap: 1\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 1808\n color: \"orange\"\n - position:\n x: 2\n y: 7\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"yellow\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n - position:\n x: 4\n y: 9\n properties:\n gap: 1\n"}
{"difficulty_level":2,"difficulty_score":1.2483607303046271,"grid_size":{"height":2,"width":4},"id":"d79be6059dc29292","polyshapes":"{\"12592\":[[0,1,1,1],[0,1,0,1],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+",".","+","+","G","+","G","+"],["S","N","+","N","+","P-G-12592","+","N","+"],["+","+","+","+","+","+","+","+","E"],["+","P-G-48",".","N","+","N","+","o-G","+"],["+","+","+","+","+","+","+",".","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 0\n y: 1\n end:\n x: 8\n y: 2\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"green\"\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 2\n y: 3\n properties:\n dot: 1\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 12592\n color: \"green\"\n - position:\n x: 7\n y: 0\n properties:\n gap: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 7\n y: 4\n properties:\n dot: 1\n"}
{"difficulty_level":3,"difficulty_score":2.9613663370751766,"grid_size":{"height":2,"width":5},"id":"4efa50053369c63c","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]],\"8992\":[[0,0,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","+","+","+","+","E","+","+","+"],["+","P-W-272","+","o-G","+","N","+","N","+","o-G","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","P-R-8992","+","P-O-16","+","o-B","+","P-G-784","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0}],"pathLength":28},{"index":1,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":26}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 7\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"white\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 8992\n color: \"red\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"orange\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"green\"\n"}
{"difficulty_level":2,"difficulty_score":1.0747338902603039,"grid_size":{"height":2,"width":4},"id":"138e21433d2e6a52","polyshapes":"{}","puzzle_array":[[".","+","+","+","+","S","+","+","+"],["+","o-K","+","o-K","+","o-K","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","o-K","+","N","+","N","+","N","E"],["+","+","+","+","+","+","+","+","+"]],"solution_count":33,"solutions":[{"index":0,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":17},{"index":1,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":21},{"index":2,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":19},{"index":3,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":19},{"index":4,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":21},{"index":5,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":25},{"index":6,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":19},{"index":7,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":21},{"index":8,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":25},{"index":9,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":21},{"index":10,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":25},{"index":11,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":23},{"index":12,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":19},{"index":13,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":21},{"index":14,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":25},{"index":15,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":21},{"index":16,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":25},{"index":17,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":23},{"index":18,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":21},{"index":19,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":25},{"index":20,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":23},{"index":21,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":23},{"index":22,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":25},{"index":23,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":29},{"index":24,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":23},{"index":25,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":25},{"index":26,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":29},{"index":27,"path":[{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":29},{"index":28,"path":[{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":29},{"index":29,"path":[{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":29},{"index":30,"path":[{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":25},{"index":31,"path":[{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":25},{"index":32,"path":[{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 5\n y: 0\n end:\n x: 8\n y: 3\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n"}
{"difficulty_level":2,"difficulty_score":1.1453160638979427,"grid_size":{"height":2,"width":3},"id":"9e892fbdd6f4c4a9","polyshapes":"{\"8992\":[[0,0,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","E",".","+","+","+","+"],["+","N","+","*-W","+","N","+"],["+","+","+","+","+","+","+"],["+","P-Y-8992","+","N","+","*-W","+"],["S",".","+","+","+",".","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":22}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 0\n y: 4\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 8992\n color: \"yellow\"\n - position:\n x: 1\n y: 4\n properties:\n dot: 1\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 5\n y: 4\n properties:\n dot: 1\n"}
{"difficulty_level":4,"difficulty_score":3.4254379549967533,"grid_size":{"height":6,"width":2},"id":"fc19c4a5e89d29f4","polyshapes":"{\"368\":[[0,1,1,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+",".","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","*-B","+","N","+"],["+","+","+","+","S"],[".","N","+","*-B","+"],["+","+","+",".","+"],["+","o-B","+","N","+"],["+","+","+","+","+"],["+","N","+","o-B","G"],["+","+","+","G","+"],["+","P-B-368","+","*-B","+"],["E",".","+","+","+"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":33},{"index":1,"path":[{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":29},{"index":2,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":29},{"index":3,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":29},{"index":4,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 4\n y: 4\n end:\n x: 0\n y: 12\n cells:\n - position:\n x: 0\n y: 5\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"poly\"\n polyshape: 368\n color: \"blue\"\n - position:\n x: 1\n y: 12\n properties:\n dot: 1\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 10\n properties:\n gap: 1\n - position:\n x: 3\n y: 11\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 4\n y: 9\n properties:\n gap: 1\n"}
{"difficulty_level":4,"difficulty_score":3.671498979244899,"grid_size":{"height":3,"width":3},"id":"2a0e2b1240764998","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+"],["+","o-P","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","o-P","+","o-G","+","o-P","+"],["E","+","+","+","+","+","+"],["+","o-P","+","B-Y","+","*-G","+"],["+","+","+","+","S","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":27}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 4\n y: 6\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"yellow\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"green\"\n"}
{"difficulty_level":2,"difficulty_score":1.0472240452167707,"grid_size":{"height":3,"width":4},"id":"23f41583d9fe02ee","polyshapes":"{\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"69904\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+",".","+","+","+","+","+","+"],["+","N","+","N","+","P-R-69904","+","N","+"],["+","+","+","+","+","G","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["G","N","+","N","+","P-W-304","+","N","E"],["+","G","+","+","+","S","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5}],"pathLength":31},{"index":1,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5}],"pathLength":27}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 5\n y: 6\n end:\n x: 8\n y: 5\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 1\n y: 6\n properties:\n gap: 1\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 69904\n color: \"red\"\n - position:\n x: 5\n y: 2\n properties:\n gap: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"white\"\n"}
{"difficulty_level":2,"difficulty_score":1.7748875334504164,"grid_size":{"height":6,"width":2},"id":"ac07176ade6d4fcc","polyshapes":"{\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","G","+"],["+","N","+","o-K","G"],["+","G","+","+","+"],["+","N","+","N","."],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","P-K-48","+"],["+","+","+","+","+"],["+","N","+","N","+"],["S","+","+","+","+"],["G","o-K","+","N","+"],["E","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":31},{"index":1,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":35},{"index":2,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":35},{"index":3,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 0\n y: 10\n end:\n x: 0\n y: 12\n cells:\n - position:\n x: 0\n y: 11\n properties:\n gap: 1\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 1\n y: 11\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"black\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n dot: 1\n"}
{"difficulty_level":5,"difficulty_score":4.679865550683381,"grid_size":{"height":5,"width":4},"id":"e155b38ad467ae03","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","*-O","+","*-O","+","N","+","o-O","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","*-Y","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","*-O","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","*-O","+","N","+","P-G-16","+","N","+"],["+","+","+","+","+","+","+","+","S"],["+","P-Y-800","+","N","+","*-Y","+","N","+"],["E","+","+","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10}],"pathLength":43},{"index":1,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10}],"pathLength":43},{"index":2,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10}],"pathLength":43},{"index":3,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10}],"pathLength":43}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 5\n start:\n x: 8\n y: 8\n end:\n x: 0\n y: 10\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"yellow\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"green\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n"}
{"difficulty_level":5,"difficulty_score":4.212449460710685,"grid_size":{"height":3,"width":5},"id":"ab298046d34718be","polyshapes":"{\"12560\":[[0,1,1,1],[0,0,0,1],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"8992\":[[0,0,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","E","+","+","+","+"],["+","*-O","+","P-O-272","+","N","+","P-P-8992","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","P-Y-12560","+","N","+","*-K","+","o-K","+"],["+","+","+","G","+","+",".","+","+","+","+"],["+","N","+","N","+","*-P","+","N","+","*-K","+"],["+","+","+","+","+","+","+","S","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":42}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 7\n y: 6\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 12560\n color: \"yellow\"\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 6\n y: 4\n properties:\n dot: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 8992\n color: \"purple\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"star\"\n color: \"black\"\n"}
{"difficulty_level":4,"difficulty_score":3.2021016488951353,"grid_size":{"height":5,"width":3},"id":"d58e426a05bbebe0","polyshapes":"{}","puzzle_array":[["+","+","+","G","+","+","+"],["+","*-B","+","o-B","+","N","+"],["+","+","+","+","+","+","+"],["+","o-W","+","N","+","N","+"],["S","+","+","+","+","+","."],["+","N","+","o-O","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+",".","+","+","+"],["+","o-R","+","o-R","+","N","+"],["+","+","E","+","+","+","+"]],"solution_count":14,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":33},{"index":1,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":2,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":29},{"index":3,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":33},{"index":4,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":5,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":6,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":33},{"index":7,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":8,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":41},{"index":9,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":33},{"index":10,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":11,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":41},{"index":12,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":41},{"index":13,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":37}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 0\n y: 4\n end:\n x: 2\n y: 10\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 8\n properties:\n dot: 1\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 6\n y: 4\n properties:\n dot: 1\n"}
{"difficulty_level":3,"difficulty_score":2.5246020785279892,"grid_size":{"height":3,"width":3},"id":"aecb916b87a88a32","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"29216\":[[0,0,0,1],[0,1,1,1],[0,0,0,1],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","S","E"],["+","P-Y-272","+","o-O","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","o-R","+","P-O-29216","+"],["+","+","+","+","+","+","+"],["+","P-B-16","+","P-O-16","+","N","."],["+","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":24},{"index":1,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":24},{"index":2,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":24},{"index":3,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 5\n y: 0\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"yellow\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"blue\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"orange\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 29216\n color: \"orange\"\n - position:\n x: 6\n y: 5\n properties:\n dot: 1\n"}
{"difficulty_level":4,"difficulty_score":3.4254379549967533,"grid_size":{"height":6,"width":2},"id":"6911f7c1419318bb","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"1808\":[[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,0,0]],\"3632\":[[0,1,0,0],[0,1,1,0],[0,0,1,0],[0,0,1,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","P-R-1808","+","N","+"],["+","+","+","+","+"],["E","o-R","+","N","+"],["+","+","+","+","+"],["+","P-R-16","+","N","+"],["+","+","+","+","+"],["+","N","+","A-R","+"],["+","+","+","+","+"],["+","P-R-48","+","N","+"],["+","+","+","+","+"],["+","N","+","P-R-3632","+"],["+","S","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":33},{"index":1,"path":[{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 1\n y: 12\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 1808\n color: \"red\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"red\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"red\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"poly\"\n polyshape: 3632\n color: \"red\"\n"}
{"difficulty_level":2,"difficulty_score":1.0472240452167707,"grid_size":{"height":3,"width":4},"id":"281ee792644831c5","polyshapes":"{\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"78096\":[[0,1,1,1],[0,0,0,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[[".","+","+","+","+","+","+","+","+"],["+","P-R-78096","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N",".","N","+"],["E","+","+","+",".","+","+","+","+"],["+","N","+","N","+","P-R-272","+","N","+"],["+","+","+","G","S","+",".","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4}],"pathLength":31}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 4\n y: 6\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 78096\n color: \"red\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"red\"\n - position:\n x: 6\n y: 3\n properties:\n dot: 1\n - position:\n x: 6\n y: 6\n properties:\n dot: 1\n"}
{"difficulty_level":5,"difficulty_score":4.507378844996003,"grid_size":{"height":3,"width":3},"id":"e836ae53a1a6b880","polyshapes":"{\"17520\":[[0,1,0,0],[0,1,0,0],[0,1,1,1],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","S"],["+","A-O","+","N","+","o-W","+"],["+","+","+","+","+","+","+"],["+","o-W","+","*-P","+","o-P","+"],["+","+","+","+","+","+","+"],["E","*-Y","+","P-Y-17520","+","o-W","+"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":26}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 6\n y: 0\n end:\n x: 0\n y: 5\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 17520\n color: \"yellow\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n"}
{"difficulty_level":4,"difficulty_score":3.8775487020026596,"grid_size":{"height":4,"width":4},"id":"a305fe218d16e612","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","E","+","+","+"],["+","N","+","*-R",".","N","+","o-R","G"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+",".","+","+","+","+","+","+"],["+","N","+","N","+","*-R","+","N","+"],["+","+","+","+","+","+","+","+","+"],["G","o-Y","+","A-Y","+","o-R","+","N","+"],["+","+","+","+","+","+","S","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0}],"pathLength":24},{"index":1,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0}],"pathLength":28},{"index":2,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 4\n start:\n x: 6\n y: 8\n end:\n x: 5\n y: 0\n cells:\n - position:\n x: 0\n y: 7\n properties:\n gap: 1\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 4\n y: 1\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 8\n y: 1\n properties:\n gap: 1\n"}
{"difficulty_level":3,"difficulty_score":2.4394488044663394,"grid_size":{"height":3,"width":4},"id":"2790e863a5831db9","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+","S","+"],["+","o-Y","+","N","G","N","+","o-Y","+"],["+","+","+","+","+","+","+","+","+"],["+","*-Y","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","o-Y","+","N","+","N","+","o-P","+"],["E","+","+","+","+","+","+","+","+"]],"solution_count":45,"solutions":[{"index":0,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":30},{"index":1,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":30},{"index":2,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":30},{"index":3,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":34},{"index":4,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":34},{"index":5,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":34},{"index":6,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":30},{"index":7,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":30},{"index":8,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":30},{"index":9,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":22},{"index":10,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":26},{"index":11,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":22},{"index":12,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":30},{"index":13,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":26},{"index":14,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":22},{"index":15,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":26},{"index":16,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":26},{"index":17,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":34},{"index":18,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":26},{"index":19,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":34},{"index":20,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":34},{"index":21,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":34},{"index":22,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":28},{"index":23,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":24},{"index":24,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":32},{"index":25,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":28},{"index":26,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":24},{"index":27,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":28},{"index":28,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":24},{"index":29,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":24},{"index":30,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":24},{"index":31,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":32},{"index":32,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":24},{"index":33,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":28},{"index":34,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":32},{"index":35,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":28},{"index":36,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":36},{"index":37,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":24},{"index":38,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":24},{"index":39,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":24},{"index":40,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":32},{"index":41,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":36},{"index":42,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":36},{"index":43,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":32},{"index":44,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":32}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 7\n y: 0\n end:\n x: 0\n y: 6\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n"}
{"difficulty_level":2,"difficulty_score":1.8210114488947993,"grid_size":{"height":2,"width":5},"id":"a8ea92dd47f4186b","polyshapes":"{}","puzzle_array":[["E","+","+","+","+",".","+","+","+","+","+"],["+","N","+","N","+","o-O","+","B-B","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","A-R","+","N","+","o-B","+","N","+","N","S"],["+","+",".","+","+","+","+","+","+","+","+"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":26},{"index":1,"path":[{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":30},{"index":2,"path":[{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":30},{"index":3,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":32},{"index":4,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 10\n y: 3\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 0\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n"}
{"difficulty_level":5,"difficulty_score":4.21587183046997,"grid_size":{"height":2,"width":5},"id":"544628c3b3077982","polyshapes":"{\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","G","+","+","+","+","+","+","+"],["S","N","+","A-O","+","N","+","N","+","P-W-48","."],["+","+","+","+","+","+","+","+","+","+","E"],["+","*-O","+","o-K","+","o-K","+","*-K","+","o-W","G"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2}],"pathLength":30},{"index":1,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 0\n y: 1\n end:\n x: 10\n y: 2\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"white\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 10\n y: 1\n properties:\n dot: 1\n - position:\n x: 10\n y: 3\n properties:\n gap: 1\n"}
{"difficulty_level":4,"difficulty_score":3.834464745924252,"grid_size":{"height":4,"width":4},"id":"8f5dd8ca7b23f826","polyshapes":"{}","puzzle_array":[["E","S","+","+","+","+","+","+","+"],["+","o-O","+","o-O","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","o-O","+","N","+","o-O","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","o-W","+"],["+","+","+","+","+","+","+","+","+"],["+","o-O","+","o-Y","+","N","+","*-W","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":26,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44},{"index":1,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":2,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":36},{"index":3,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":4,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44},{"index":5,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":6,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":36},{"index":7,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":8,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":9,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":36},{"index":10,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":11,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44},{"index":12,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":13,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44},{"index":14,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":36},{"index":15,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":16,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":17,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44},{"index":18,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":19,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44},{"index":20,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":21,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44},{"index":22,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":23,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44},{"index":24,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44},{"index":25,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 4\n start:\n x: 1\n y: 0\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 7\n y: 7\n properties:\n type: \"star\"\n color: \"white\"\n"}
{"difficulty_level":2,"difficulty_score":1.0268662722080775,"grid_size":{"height":3,"width":3},"id":"e0e6857dd441101b","polyshapes":"{\"4880\":[[0,1,1,1],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","."],["S","N","G","*-K","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","P-K-4880","+","N","G"],["+","+","+","+","+","G","+"],["+","N","+","N","+","N","G"],["+","+",".","+","+","E","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 0\n y: 1\n end:\n x: 5\n y: 6\n cells:\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 2\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4880\n color: \"black\"\n - position:\n x: 5\n y: 4\n properties:\n gap: 1\n - position:\n x: 6\n y: 0\n properties:\n dot: 1\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n - position:\n x: 6\n y: 5\n properties:\n gap: 1\n"}
{"difficulty_level":4,"difficulty_score":3.745605836981043,"grid_size":{"height":2,"width":6},"id":"ed62498f9a7cf7a5","polyshapes":"{\"13088\":[[0,0,1,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]],\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","+","+"],["S","N","+","*-G","+","N","+","N","+","P-W-784","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","*-G","+","P-K-13088","+","N","+","*-G","+","P-G-560","+","A-G","+"],["+","+","+","+","+","+","+","+","+","+","E","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 0\n y: 1\n end:\n x: 10\n y: 4\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 13088\n color: \"black\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"white\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"green\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n"}
{"difficulty_level":4,"difficulty_score":3.187890113166176,"grid_size":{"height":5,"width":3},"id":"11846421c28ce2aa","polyshapes":"{\"4400\":[[0,1,1,1],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","E"],[".","*-O","+","N","+","N","+"],["+","+","+","+","+",".","+"],["+","P-O-4400","+","N","+","N","+"],[".","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","P-O-48","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","o-O","+"],["+","+","+","S","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":34},{"index":1,"path":[{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":30}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 3\n y: 10\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 0\n y: 1\n properties:\n dot: 1\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4400\n color: \"orange\"\n - position:\n x: 5\n y: 2\n properties:\n dot: 1\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"orange\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"square\"\n color: \"orange\"\n"}
{"difficulty_level":5,"difficulty_score":4.292238591599003,"grid_size":{"height":6,"width":3},"id":"1e7c5367fa438e3b","polyshapes":"{\"12848\":[[0,1,0,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]],\"306\":[[0,1,1,0],[1,1,0,0],[0,0,0,0],[0,0,0,0]],\"368\":[[0,1,1,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","S","+","+","+"],["+","N","+","N","+","N","."],["+","+","+","+","+","+","+"],["+","o-P","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","P-P-12848","+","N","+","P-W-368","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","Y-W-306","+"],["+","+","+","+","+","+","+"],["+","N","+","P-W-48","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","P-W-800","+","o-P","+"],["+","+","+","+","+","+","E"]],"solution_count":10,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12}],"pathLength":42},{"index":1,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12}],"pathLength":38},{"index":2,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12}],"pathLength":44},{"index":3,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12}],"pathLength":36},{"index":4,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12}],"pathLength":40},{"index":5,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12}],"pathLength":44},{"index":6,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12}],"pathLength":32},{"index":7,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12}],"pathLength":40},{"index":8,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12}],"pathLength":32},{"index":9,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12}],"pathLength":32}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 6\n start:\n x: 3\n y: 0\n end:\n x: 6\n y: 12\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 12848\n color: \"purple\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"white\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"white\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 368\n color: \"white\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"ylop\"\n polyshape: 306\n color: \"white\"\n - position:\n x: 5\n y: 11\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 6\n y: 1\n properties:\n dot: 1\n"}
{"difficulty_level":2,"difficulty_score":1.6186286874773463,"grid_size":{"height":3,"width":2},"id":"dd196820fff0f585","polyshapes":"{}","puzzle_array":[["+","+","S","+","+"],["+","B-O","G","A-O","+"],["+","+","+","+","+"],["+","o-O","+","N","E"],["+","+","+","+","+"],["+","N","+","A-O","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":18}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 2\n y: 0\n end:\n x: 4\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n"}
{"difficulty_level":2,"difficulty_score":1.1453160638979427,"grid_size":{"height":2,"width":3},"id":"4ec9d16a5a573d4e","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","E","+","+","+","+","+"],["+","N","G","o-O","+","N","+"],["+","+","+","+","+","+","+"],["+","o-O","+","P-O-16","+","N","+"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"orange\"\n"}
{"difficulty_level":2,"difficulty_score":1.8909334389381391,"grid_size":{"height":3,"width":3},"id":"f701ba6827f8ceff","polyshapes":"{}","puzzle_array":[["+",".","+","+","+","+","+"],["+","N","G","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N",".","o-P","+","*-P","+"],["+","+","+","+","+","+","+"],["S","N","+","N","+","B-K","+"],["E","+",".","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":28},{"index":1,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":28},{"index":2,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":28},{"index":3,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 0\n y: 5\n end:\n x: 0\n y: 6\n cells:\n - position:\n x: 1\n y: 0\n properties:\n dot: 1\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 2\n y: 3\n properties:\n dot: 1\n - position:\n x: 2\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"black\"\n"}
{"difficulty_level":2,"difficulty_score":1.8210114488947993,"grid_size":{"height":5,"width":2},"id":"58d9c6f1f97d78c1","polyshapes":"{}","puzzle_array":[["+","+","+","S","+"],["+","*-R","+","N","+"],["+","+","+","+","+"],["+","o-R","+","*-R","G"],["+","+","+","+","+"],["+","N","+","N","E"],["+","+","+","G","+"],["+","*-R","+","N","+"],["+","+","+","+","+"],[".","N","+","N","+"],["+","+","+","+","+"]],"solution_count":9,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":27},{"index":1,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":23},{"index":2,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":23},{"index":3,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":23},{"index":4,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":23},{"index":5,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":25},{"index":6,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":25},{"index":7,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":25},{"index":8,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 3\n y: 0\n end:\n x: 4\n y: 5\n cells:\n - position:\n x: 0\n y: 9\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n"}
{"difficulty_level":1,"difficulty_score":0.42081001825693576,"grid_size":{"height":2,"width":2},"id":"5d4260bea3b7d613","polyshapes":"{}","puzzle_array":[["+","S","+","G","+"],["+","N","+","N","+"],["+","+","+","+","."],["+","o-R","+","o-R","+"],["+","+","+","+","E"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4}],"pathLength":10},{"index":1,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4}],"pathLength":14},{"index":2,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4}],"pathLength":8}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 1\n y: 0\n end:\n x: 4\n y: 4\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n"}
{"difficulty_level":2,"difficulty_score":1.1568457111547232,"grid_size":{"height":5,"width":2},"id":"a12c7a055e6395a2","polyshapes":"{\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","o-W","+","N","+"],["E","+","+","+","+"],["+","P-K-48","+","N","+"],["+","+","+","+","+"],["+","N","G","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":29},{"index":1,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":33},{"index":2,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":33},{"index":3,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":33},{"index":4,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4}],"pathLength":13}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 0\n y: 0\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"black\"\n - position:\n x: 2\n y: 7\n properties:\n gap: 1\n"}
{"difficulty_level":1,"difficulty_score":0.21396079080619634,"grid_size":{"height":2,"width":2},"id":"8bbb1046d8c49095","polyshapes":"{\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","G","S","G","E"],["G","N","+","N","+"],["+","+","+","+","+"],["+","N","+","P-B-800","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":15}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 2\n y: 0\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 0\n y: 1\n properties:\n gap: 1\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"blue\"\n"}
{"difficulty_level":5,"difficulty_score":4.966097906570171,"grid_size":{"height":6,"width":5},"id":"4a5c32111bf61aae","polyshapes":"{\"1888\":[[0,0,1,0],[0,1,1,0],[0,1,1,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","P-O-1888","+","N","+","o-B","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","*-B","+","*-B","+","N","G","o-B","+","*-B","+"],["+","G","+","+","+","+","+","+","+","+","+"],["+","N","+","*-O","+","N","+","N","+","P-B-48","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","o-B","."],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","G","N","+","N","+","N","S"],["+","+",".","+","+","+",".","+","+","E","+"]],"solution_count":20,"solutions":[{"index":0,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":59},{"index":1,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":2,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":59},{"index":3,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":4,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":5,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":59},{"index":6,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":7,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":59},{"index":8,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":9,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":10,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":59},{"index":11,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":12,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":59},{"index":13,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":14,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":15,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":16,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":67},{"index":17,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":18,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":67},{"index":19,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":67}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 6\n start:\n x: 10\n y: 11\n end:\n x: 9\n y: 12\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 1\n y: 6\n properties:\n gap: 1\n - position:\n x: 2\n y: 12\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1888\n color: \"orange\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 4\n y: 11\n properties:\n gap: 1\n - position:\n x: 6\n y: 5\n properties:\n gap: 1\n - position:\n x: 6\n y: 12\n properties:\n dot: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 9\n y: 7\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"blue\"\n - position:\n x: 9\n y: 9\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 10\n y: 9\n properties:\n dot: 1\n"}
{"difficulty_level":5,"difficulty_score":4.066258866160572,"grid_size":{"height":6,"width":3},"id":"e8f814f726cb4612","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+"],["+","A-Y","G","N","+","N","+"],["+","+","+","+","+","G","+"],["+","N","+","B-B","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","o-Y","+","N","+"],["S","+","+","+","+","+","+"],["+","N","+","o-Y","+","o-B","E"],["+","+","+","+","+","+","+"],["+","o-B","+","o-Y","+","o-Y","+"],["+","+","+","+","+","+","+"]],"solution_count":32,"solutions":[{"index":0,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":40},{"index":1,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":40},{"index":2,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":40},{"index":3,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":44},{"index":4,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":48},{"index":5,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":48},{"index":6,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":44},{"index":7,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":48},{"index":8,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":48},{"index":9,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":40},{"index":10,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":36},{"index":11,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":40},{"index":12,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":36},{"index":13,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":48},{"index":14,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":40},{"index":15,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":40},{"index":16,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":40},{"index":17,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":44},{"index":18,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":48},{"index":19,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":20,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":21,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":22,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":34},{"index":23,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":24,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":25,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":26,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":34},{"index":27,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":46},{"index":28,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":29,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":30,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":31,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":34}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 6\n start:\n x: 0\n y: 8\n end:\n x: 6\n y: 9\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 2\n properties:\n gap: 1\n - position:\n x: 5\n y: 9\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 5\n y: 11\n properties:\n type: \"square\"\n color: \"yellow\"\n"}
{"difficulty_level":3,"difficulty_score":2.8134866817380155,"grid_size":{"height":3,"width":3},"id":"8b308dfba88e4ac","polyshapes":"{\"12896\":[[0,0,0,1],[0,1,1,1],[0,1,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","S","E"],["+","N","+","*-B","+","P-K-272","+"],["+","+","+","+","+","+","+"],["+","N","+","o-K","+","N","+"],["+","+","+","+","+","+","+"],["+","P-B-12896","+","N","+","P-B-272","+"],["+",".","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 5\n y: 0\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 12896\n color: \"blue\"\n - position:\n x: 1\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"black\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"blue\"\n"}
{"difficulty_level":1,"difficulty_score":0.6773662170836059,"grid_size":{"height":3,"width":3},"id":"70c971586d6ab721","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","S","+"],["+","N","+","N",".","o-P","G"],["+",".","+","+","+","+","+"],["E","N","+","N","+","N","+"],["+","+","+","+",".","+","+"],["G","o-P","+","N","+","N","+"],["+","+",".","+","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":21},{"index":1,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":21},{"index":2,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":17}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 5\n y: 0\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 1\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 2\n y: 6\n properties:\n dot: 1\n - position:\n x: 4\n y: 1\n properties:\n dot: 1\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n"}
{"difficulty_level":5,"difficulty_score":4.99965996536008,"grid_size":{"height":6,"width":6},"id":"5569f16359d15a33","polyshapes":"{\"12560\":[[0,1,1,1],[0,0,0,1],[0,0,0,0],[0,0,0,0]],\"12896\":[[0,0,0,1],[0,1,1,1],[0,1,0,0],[0,0,0,0]],\"69904\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","S","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","P-W-12560","+","N","+","N","+","*-W","+","o-P","G"],["+","+","+","+","+","+",".","+","+",".","+","+","+"],["+","N","+","N","+","N","+","N","+","*-W","+","N","+"],["+","+","+","+","+","G","+","+","+","+","+","+","+"],["+","P-Y-816","+","N","+","N","+","N","+","N","+","A-Y","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","*-W","+","N","+","P-Y-12896","+","N","+","N","G","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","*-O","+","N","+","N","+","N","+","N","+"],[".","+","+","+","+","+","+","+","+","+","+","+","+"],["G","o-K","+","*-O","+","P-Y-69904","+","o-O","+","N","+","N","E"],["+","+","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":11},{"x":10,"y":12},{"x":11,"y":12},{"x":12,"y":12},{"x":12,"y":11}],"pathLength":57}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 6\n start:\n x: 1\n y: 0\n end:\n x: 12\n y: 11\n cells:\n - position:\n x: 0\n y: 10\n properties:\n dot: 1\n - position:\n x: 0\n y: 11\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"yellow\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 12560\n color: \"white\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 5\n y: 4\n properties:\n gap: 1\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 12896\n color: \"yellow\"\n - position:\n x: 5\n y: 11\n properties:\n type: \"poly\"\n polyshape: 69904\n color: \"yellow\"\n - position:\n x: 6\n y: 2\n properties:\n dot: 1\n - position:\n x: 7\n y: 11\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 9\n y: 2\n properties:\n dot: 1\n - position:\n x: 9\n y: 3\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 10\n y: 7\n properties:\n gap: 1\n - position:\n x: 11\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 11\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 12\n y: 1\n properties:\n gap: 1\n"}
{"difficulty_level":3,"difficulty_score":2.7979013261124335,"grid_size":{"height":4,"width":2},"id":"598f03a76e659bbd","polyshapes":"{\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","A-O","+","N","+"],["+","+","+","+","+"],["+","*-O","+","N","E"],["+","+","+","G","+"],["+","P-O-560","+","*-O","G"],["+","+","+","+","+"],["+","N","+","*-O","+"],["S","+",".","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 0\n y: 8\n end:\n x: 4\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"orange\"\n - position:\n x: 2\n y: 8\n properties:\n dot: 1\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 4\n y: 5\n properties:\n gap: 1\n"}
{"difficulty_level":4,"difficulty_score":3.284789124481342,"grid_size":{"height":2,"width":5},"id":"3ca9fa7e19e2188c","polyshapes":"{\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"562\":[[0,1,0,0],[1,1,1,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"8992\":[[0,0,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","S","+","G","+","+","+","+","+","E","+"],["+","N","+","N","+","N","+","o-G","+","Y-G-18","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","P-G-8992","G","Y-G-18","+","N","+","P-G-816","+","Y-G-562","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":12,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0}],"pathLength":15},{"index":1,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0}],"pathLength":15},{"index":2,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0}],"pathLength":15},{"index":3,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0}],"pathLength":19},{"index":4,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":21},{"index":5,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":25},{"index":6,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":23},{"index":7,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":27},{"index":8,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0}],"pathLength":13},{"index":9,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0}],"pathLength":13},{"index":10,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0}],"pathLength":13},{"index":11,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0}],"pathLength":17}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 1\n y: 0\n end:\n x: 9\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 8992\n color: \"green\"\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"green\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"green\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"green\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"ylop\"\n polyshape: 562\n color: \"green\"\n"}
{"difficulty_level":2,"difficulty_score":1.1453160638979427,"grid_size":{"height":3,"width":2},"id":"4d1f8e4f341d8ba","polyshapes":"{\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["E","+","+","+","+"],["+","o-G","+","P-R-784","."],["+","+","+","+","+"],["+","N","+","N","+"],["+","+",".","+","+"],[".","P-R-560","+","N","+"],["+","+","S","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 2\n y: 6\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 0\n y: 5\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"red\"\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"red\"\n - position:\n x: 4\n y: 1\n properties:\n dot: 1\n"}
{"difficulty_level":4,"difficulty_score":3.756154209198361,"grid_size":{"height":5,"width":3},"id":"a2a967199664a80","polyshapes":"{\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"8992\":[[0,0,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N","+","N","+","B-Y","+"],["+","+","+","+","+","+","+"],["+","N","+","A-K","+","N","+"],["+","+","+","G","+","+","+"],["E","N","+","N","+","A-W","+"],["+","+","+","+","+","+","+"],["+","A-K","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","P-K-8992","+","Y-W-18","+"],["S","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":34},{"index":1,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":30},{"index":2,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":34},{"index":3,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":30}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 0\n y: 10\n end:\n x: 0\n y: 5\n cells:\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 9\n properties:\n type: \"poly\"\n polyshape: 8992\n color: \"black\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"yellow\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"white\"\n"}
{"difficulty_level":2,"difficulty_score":1.1568457111547232,"grid_size":{"height":2,"width":5},"id":"14738c1f0e0cf17e","polyshapes":"{\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+"],["S","+","+","+","+","+","+","+","+","+","+"],["+","N","+","P-G-4368","+","*-G","G","N","+","N","+"],["+","G","+","+","E","+","+","G","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4}],"pathLength":31}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 0\n y: 2\n end:\n x: 4\n y: 4\n cells:\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"green\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n - position:\n x: 7\n y: 4\n properties:\n gap: 1\n"}
{"difficulty_level":5,"difficulty_score":4.585021118143553,"grid_size":{"height":5,"width":4},"id":"6a3a112c0f2e831b","polyshapes":"{\"1584\":[[0,1,0,0],[0,1,1,0],[0,0,1,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","o-K","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","P-P-272","+","P-Y-1584","+","N","+","N","S"],["+","+","+","+","+","+","+","+","+"],["E","N","+","*-K","G","*-Y","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","P-K-816","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","*-K","+","*-K","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":47},{"index":1,"path":[{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":39},{"index":2,"path":[{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":43}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 5\n start:\n x: 8\n y: 3\n end:\n x: 0\n y: 5\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1584\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"black\"\n - position:\n x: 4\n y: 5\n properties:\n gap: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 7\n y: 9\n properties:\n type: \"star\"\n color: \"black\"\n"}
{"difficulty_level":3,"difficulty_score":2.8134866817380155,"grid_size":{"height":3,"width":3},"id":"85ace8079f2972ab","polyshapes":"{\"12848\":[[0,1,0,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["E","N","+","N","+","P-Y-272","+"],["+","+","+","+","+","+","+"],["+","N","+","A-K","+","o-R","+"],["+","+","+","G","+","+","+"],["+","N","+","P-K-12848","+","D-R","S"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 6\n y: 5\n end:\n x: 0\n y: 1\n cells:\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 12848\n color: \"black\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"yellow\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 4\n color: \"red\"\n"}
{"difficulty_level":2,"difficulty_score":1.0268662722080775,"grid_size":{"height":3,"width":3},"id":"b7cbcba402c57078","polyshapes":"{\"1808\":[[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N",".","P-B-1808","+","N","+"],[".","+","+","+","+","+","S"],["+","N","+","N",".","o-B","+"],["+","+","+","+","+","+","."],["+","N","+","N","+","N","+"],["+","+","E","+","+","+","."]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6}],"pathLength":25},{"index":1,"path":[{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 6\n y: 2\n end:\n x: 2\n y: 6\n cells:\n - position:\n x: 0\n y: 2\n properties:\n dot: 1\n - position:\n x: 2\n y: 1\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 1808\n color: \"blue\"\n - position:\n x: 4\n y: 3\n properties:\n dot: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 6\n y: 4\n properties:\n dot: 1\n - position:\n x: 6\n y: 6\n properties:\n dot: 1\n"}
{"difficulty_level":2,"difficulty_score":1.0268662722080775,"grid_size":{"height":3,"width":3},"id":"95bd7bebb5849554","polyshapes":"{\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","E","S",".","+",".","+"],["+","N","+","N","+","N","+"],["+","+",".","+","+","+","+"],["G","A-O","+","P-B-816","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 2\n y: 0\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"blue\"\n - position:\n x: 5\n y: 0\n properties:\n dot: 1\n"}
{"difficulty_level":1,"difficulty_score":0.7841281695300297,"grid_size":{"height":5,"width":2},"id":"f42b8d86bfb89096","polyshapes":"{}","puzzle_array":[["+",".","+","+","+"],["+","N","+","N","+"],["+","+",".","+","+"],["+","B-G","+","N","+"],["+","+","+",".","+"],[".","N","+","B-G","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["S","N","+","N","+"],["+","+","E","+","."]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":34},{"index":1,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":30},{"index":2,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":30},{"index":3,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":26}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 0\n y: 9\n end:\n x: 2\n y: 10\n cells:\n - position:\n x: 0\n y: 5\n properties:\n dot: 1\n - position:\n x: 1\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"green\"\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"green\"\n - position:\n x: 4\n y: 10\n properties:\n dot: 1\n"}