diff --git "a/data/a7_data/metadata.json" "b/data/a7_data/metadata.json"
--- "a/data/a7_data/metadata.json"
+++ "b/data/a7_data/metadata.json"
@@ -1,2522 +1,2522 @@
 {
-    "0": "[0, 3, 1, 5, 6, 2, 4]",
-    "1": "[1, 3, 2, 5, 6, 0, 4]",
-    "2": "[2, 3, 0, 5, 6, 1, 4]",
-    "3": "[3, 4, 2, 6, 1, 0, 5]",
-    "4": "[4, 5, 3, 0, 2, 1, 6]",
-    "5": "[5, 6, 4, 1, 3, 2, 0]",
-    "6": "[6, 4, 3, 0, 2, 1, 5]",
-    "7": "[0, 1, 2, 3, 4, 5, 6]",
-    "8": "[1, 2, 0, 3, 4, 5, 6]",
-    "9": "[2, 0, 1, 3, 4, 5, 6]",
-    "10": "[3, 2, 0, 4, 5, 6, 1]",
-    "11": "[4, 3, 1, 5, 6, 0, 2]",
-    "12": "[5, 4, 2, 6, 0, 1, 3]",
-    "13": "[6, 3, 1, 4, 5, 0, 2]",
-    "14": "[0, 1, 3, 4, 5, 6, 2]",
-    "15": "[1, 2, 3, 4, 5, 6, 0]",
-    "16": "[2, 0, 3, 4, 5, 6, 1]",
-    "17": "[3, 2, 4, 5, 6, 1, 0]",
-    "18": "[4, 3, 5, 6, 0, 2, 1]",
-    "19": "[5, 4, 6, 0, 1, 3, 2]",
-    "20": "[6, 3, 4, 5, 0, 2, 1]",
-    "21": "[0, 1, 4, 5, 6, 2, 3]",
-    "22": "[1, 2, 4, 5, 6, 0, 3]",
-    "23": "[2, 0, 4, 5, 6, 1, 3]",
-    "24": "[3, 2, 5, 6, 1, 0, 4]",
-    "25": "[4, 3, 6, 0, 2, 1, 5]",
-    "26": "[5, 4, 0, 1, 3, 2, 6]",
-    "27": "[6, 3, 5, 0, 2, 1, 4]",
-    "28": "[0, 1, 5, 6, 2, 3, 4]",
-    "29": "[1, 2, 5, 6, 0, 3, 4]",
-    "30": "[2, 0, 5, 6, 1, 3, 4]",
-    "31": "[3, 2, 6, 1, 0, 4, 5]",
-    "32": "[4, 3, 0, 2, 1, 5, 6]",
-    "33": "[5, 4, 1, 3, 2, 6, 0]",
-    "34": "[6, 3, 0, 2, 1, 4, 5]",
-    "35": "[0, 1, 6, 4, 5, 2, 3]",
-    "36": "[1, 2, 6, 4, 5, 0, 3]",
-    "37": "[2, 0, 6, 4, 5, 1, 3]",
-    "38": "[3, 2, 1, 5, 6, 0, 4]",
-    "39": "[4, 3, 2, 6, 0, 1, 5]",
-    "40": "[5, 4, 3, 0, 1, 2, 6]",
-    "41": "[6, 3, 2, 5, 0, 1, 4]",
-    "42": "[0, 5, 1, 6, 2, 4, 3]",
-    "43": "[1, 5, 2, 6, 0, 4, 3]",
-    "44": "[2, 5, 0, 6, 1, 4, 3]",
-    "45": "[3, 6, 2, 1, 0, 5, 4]",
-    "46": "[4, 0, 3, 2, 1, 6, 5]",
-    "47": "[5, 1, 4, 3, 2, 0, 6]",
-    "48": "[6, 0, 3, 2, 1, 5, 4]",
-    "49": "[0, 3, 2, 4, 5, 6, 1]",
-    "50": "[1, 3, 0, 4, 5, 6, 2]",
-    "51": "[2, 3, 1, 4, 5, 6, 0]",
-    "52": "[3, 4, 0, 5, 6, 1, 2]",
-    "53": "[4, 5, 1, 6, 0, 2, 3]",
-    "54": "[5, 6, 2, 0, 1, 3, 4]",
-    "55": "[6, 4, 1, 5, 0, 2, 3]",
-    "56": "[0, 4, 3, 5, 6, 2, 1]",
-    "57": "[1, 4, 3, 5, 6, 0, 2]",
-    "58": "[2, 4, 3, 5, 6, 1, 0]",
-    "59": "[3, 5, 4, 6, 1, 0, 2]",
-    "60": "[4, 6, 5, 0, 2, 1, 3]",
-    "61": "[5, 0, 6, 1, 3, 2, 4]",
-    "62": "[6, 5, 4, 0, 2, 1, 3]",
-    "63": "[0, 5, 4, 6, 2, 3, 1]",
-    "64": "[1, 5, 4, 6, 0, 3, 2]",
-    "65": "[2, 5, 4, 6, 1, 3, 0]",
-    "66": "[3, 6, 5, 1, 0, 4, 2]",
-    "67": "[4, 0, 6, 2, 1, 5, 3]",
-    "68": "[5, 1, 0, 3, 2, 6, 4]",
-    "69": "[6, 0, 5, 2, 1, 4, 3]",
-    "70": "[0, 6, 5, 2, 3, 4, 1]",
-    "71": "[1, 6, 5, 0, 3, 4, 2]",
-    "72": "[2, 6, 5, 1, 3, 4, 0]",
-    "73": "[3, 1, 6, 0, 4, 5, 2]",
-    "74": "[4, 2, 0, 1, 5, 6, 3]",
-    "75": "[5, 3, 1, 2, 6, 0, 4]",
-    "76": "[6, 2, 0, 1, 4, 5, 3]",
-    "77": "[0, 4, 6, 5, 2, 3, 1]",
-    "78": "[1, 4, 6, 5, 0, 3, 2]",
-    "79": "[2, 4, 6, 5, 1, 3, 0]",
-    "80": "[3, 5, 1, 6, 0, 4, 2]",
-    "81": "[4, 6, 2, 0, 1, 5, 3]",
-    "82": "[5, 0, 3, 1, 2, 6, 4]",
-    "83": "[6, 5, 2, 0, 1, 4, 3]",
-    "84": "[0, 6, 1, 2, 4, 3, 5]",
-    "85": "[1, 6, 2, 0, 4, 3, 5]",
-    "86": "[2, 6, 0, 1, 4, 3, 5]",
-    "87": "[3, 1, 2, 0, 5, 4, 6]",
-    "88": "[4, 2, 3, 1, 6, 5, 0]",
-    "89": "[5, 3, 4, 2, 0, 6, 1]",
-    "90": "[6, 2, 3, 1, 5, 4, 0]",
-    "91": "[0, 4, 2, 5, 6, 1, 3]",
-    "92": "[1, 4, 0, 5, 6, 2, 3]",
-    "93": "[2, 4, 1, 5, 6, 0, 3]",
-    "94": "[3, 5, 0, 6, 1, 2, 4]",
-    "95": "[4, 6, 1, 0, 2, 3, 5]",
-    "96": "[5, 0, 2, 1, 3, 4, 6]",
-    "97": "[6, 5, 1, 0, 2, 3, 4]",
-    "98": "[0, 5, 3, 6, 2, 1, 4]",
-    "99": "[1, 5, 3, 6, 0, 2, 4]",
-    "100": "[2, 5, 3, 6, 1, 0, 4]",
-    "101": "[3, 6, 4, 1, 0, 2, 5]",
-    "102": "[4, 0, 5, 2, 1, 3, 6]",
-    "103": "[5, 1, 6, 3, 2, 4, 0]",
-    "104": "[6, 0, 4, 2, 1, 3, 5]",
-    "105": "[0, 6, 4, 2, 3, 1, 5]",
-    "106": "[1, 6, 4, 0, 3, 2, 5]",
-    "107": "[2, 6, 4, 1, 3, 0, 5]",
-    "108": "[3, 1, 5, 0, 4, 2, 6]",
-    "109": "[4, 2, 6, 1, 5, 3, 0]",
-    "110": "[5, 3, 0, 2, 6, 4, 1]",
-    "111": "[6, 2, 5, 1, 4, 3, 0]",
-    "112": "[0, 2, 5, 3, 4, 1, 6]",
-    "113": "[1, 0, 5, 3, 4, 2, 6]",
-    "114": "[2, 1, 5, 3, 4, 0, 6]",
-    "115": "[3, 0, 6, 4, 5, 2, 1]",
-    "116": "[4, 1, 0, 5, 6, 3, 2]",
-    "117": "[5, 2, 1, 6, 0, 4, 3]",
-    "118": "[6, 1, 0, 4, 5, 3, 2]",
-    "119": "[0, 5, 6, 2, 3, 1, 4]",
-    "120": "[1, 5, 6, 0, 3, 2, 4]",
-    "121": "[2, 5, 6, 1, 3, 0, 4]",
-    "122": "[3, 6, 1, 0, 4, 2, 5]",
-    "123": "[4, 0, 2, 1, 5, 3, 6]",
-    "124": "[5, 1, 3, 2, 6, 4, 0]",
-    "125": "[6, 0, 2, 1, 4, 3, 5]",
-    "126": "[0, 2, 1, 4, 3, 5, 6]",
-    "127": "[1, 0, 2, 4, 3, 5, 6]",
-    "128": "[2, 1, 0, 4, 3, 5, 6]",
-    "129": "[3, 0, 2, 5, 4, 6, 1]",
-    "130": "[4, 1, 3, 6, 5, 0, 2]",
-    "131": "[5, 2, 4, 0, 6, 1, 3]",
-    "132": "[6, 1, 3, 5, 4, 0, 2]",
-    "133": "[0, 5, 2, 6, 1, 3, 4]",
-    "134": "[1, 5, 0, 6, 2, 3, 4]",
-    "135": "[2, 5, 1, 6, 0, 3, 4]",
-    "136": "[3, 6, 0, 1, 2, 4, 5]",
-    "137": "[4, 0, 1, 2, 3, 5, 6]",
-    "138": "[5, 1, 2, 3, 4, 6, 0]",
-    "139": "[6, 0, 1, 2, 3, 4, 5]",
-    "140": "[0, 6, 3, 2, 1, 4, 5]",
-    "141": "[1, 6, 3, 0, 2, 4, 5]",
-    "142": "[2, 6, 3, 1, 0, 4, 5]",
-    "143": "[3, 1, 4, 0, 2, 5, 6]",
-    "144": "[4, 2, 5, 1, 3, 6, 0]",
-    "145": "[5, 3, 6, 2, 4, 0, 1]",
-    "146": "[6, 2, 4, 1, 3, 5, 0]",
-    "147": "[0, 2, 4, 3, 1, 5, 6]",
-    "148": "[1, 0, 4, 3, 2, 5, 6]",
-    "149": "[2, 1, 4, 3, 0, 5, 6]",
-    "150": "[3, 0, 5, 4, 2, 6, 1]",
-    "151": "[4, 1, 6, 5, 3, 0, 2]",
-    "152": "[5, 2, 0, 6, 4, 1, 3]",
-    "153": "[6, 1, 5, 4, 3, 0, 2]",
-    "154": "[0, 3, 5, 4, 1, 6, 2]",
-    "155": "[1, 3, 5, 4, 2, 6, 0]",
-    "156": "[2, 3, 5, 4, 0, 6, 1]",
-    "157": "[3, 4, 6, 5, 2, 1, 0]",
-    "158": "[4, 5, 0, 6, 3, 2, 1]",
-    "159": "[5, 6, 1, 0, 4, 3, 2]",
-    "160": "[6, 4, 0, 5, 3, 2, 1]",
-    "161": "[0, 2, 6, 3, 1, 4, 5]",
-    "162": "[1, 0, 6, 3, 2, 4, 5]",
-    "163": "[2, 1, 6, 3, 0, 4, 5]",
-    "164": "[3, 0, 1, 4, 2, 5, 6]",
-    "165": "[4, 1, 2, 5, 3, 6, 0]",
-    "166": "[5, 2, 3, 6, 4, 0, 1]",
-    "167": "[6, 1, 2, 4, 3, 5, 0]",
-    "168": "[0, 4, 1, 6, 2, 3, 5]",
-    "169": "[1, 4, 2, 6, 0, 3, 5]",
-    "170": "[2, 4, 0, 6, 1, 3, 5]",
-    "171": "[3, 5, 2, 1, 0, 4, 6]",
-    "172": "[4, 6, 3, 2, 1, 5, 0]",
-    "173": "[5, 0, 4, 3, 2, 6, 1]",
-    "174": "[6, 5, 3, 2, 1, 4, 0]",
-    "175": "[0, 6, 2, 4, 5, 1, 3]",
-    "176": "[1, 6, 0, 4, 5, 2, 3]",
-    "177": "[2, 6, 1, 4, 5, 0, 3]",
-    "178": "[3, 1, 0, 5, 6, 2, 4]",
-    "179": "[4, 2, 1, 6, 0, 3, 5]",
-    "180": "[5, 3, 2, 0, 1, 4, 6]",
-    "181": "[6, 2, 1, 5, 0, 3, 4]",
-    "182": "[0, 2, 3, 5, 6, 1, 4]",
-    "183": "[1, 0, 3, 5, 6, 2, 4]",
-    "184": "[2, 1, 3, 5, 6, 0, 4]",
-    "185": "[3, 0, 4, 6, 1, 2, 5]",
-    "186": "[4, 1, 5, 0, 2, 3, 6]",
-    "187": "[5, 2, 6, 1, 3, 4, 0]",
-    "188": "[6, 1, 4, 0, 2, 3, 5]",
-    "189": "[0, 3, 4, 6, 2, 1, 5]",
-    "190": "[1, 3, 4, 6, 0, 2, 5]",
-    "191": "[2, 3, 4, 6, 1, 0, 5]",
-    "192": "[3, 4, 5, 1, 0, 2, 6]",
-    "193": "[4, 5, 6, 2, 1, 3, 0]",
-    "194": "[5, 6, 0, 3, 2, 4, 1]",
-    "195": "[6, 4, 5, 2, 1, 3, 0]",
-    "196": "[0, 4, 5, 2, 3, 1, 6]",
-    "197": "[1, 4, 5, 0, 3, 2, 6]",
-    "198": "[2, 4, 5, 1, 3, 0, 6]",
-    "199": "[3, 5, 6, 0, 4, 2, 1]",
-    "200": "[4, 6, 0, 1, 5, 3, 2]",
-    "201": "[5, 0, 1, 2, 6, 4, 3]",
-    "202": "[6, 5, 0, 1, 4, 3, 2]",
-    "203": "[0, 3, 6, 5, 2, 1, 4]",
-    "204": "[1, 3, 6, 5, 0, 2, 4]",
-    "205": "[2, 3, 6, 5, 1, 0, 4]",
-    "206": "[3, 4, 1, 6, 0, 2, 5]",
-    "207": "[4, 5, 2, 0, 1, 3, 6]",
-    "208": "[5, 6, 3, 1, 2, 4, 0]",
-    "209": "[6, 4, 2, 0, 1, 3, 5]",
-    "210": "[0, 3, 1, 6, 2, 5, 4]",
-    "211": "[1, 3, 2, 6, 0, 5, 4]",
-    "212": "[2, 3, 0, 6, 1, 5, 4]",
-    "213": "[3, 4, 2, 1, 0, 6, 5]",
-    "214": "[4, 5, 3, 2, 1, 0, 6]",
-    "215": "[5, 6, 4, 3, 2, 1, 0]",
-    "216": "[6, 4, 3, 2, 1, 0, 5]",
-    "217": "[0, 1, 2, 4, 5, 3, 6]",
-    "218": "[1, 2, 0, 4, 5, 3, 6]",
-    "219": "[2, 0, 1, 4, 5, 3, 6]",
-    "220": "[3, 2, 0, 5, 6, 4, 1]",
-    "221": "[4, 3, 1, 6, 0, 5, 2]",
-    "222": "[5, 4, 2, 0, 1, 6, 3]",
-    "223": "[6, 3, 1, 5, 0, 4, 2]",
-    "224": "[0, 1, 3, 5, 6, 4, 2]",
-    "225": "[1, 2, 3, 5, 6, 4, 0]",
-    "226": "[2, 0, 3, 5, 6, 4, 1]",
-    "227": "[3, 2, 4, 6, 1, 5, 0]",
-    "228": "[4, 3, 5, 0, 2, 6, 1]",
-    "229": "[5, 4, 6, 1, 3, 0, 2]",
-    "230": "[6, 3, 4, 0, 2, 5, 1]",
-    "231": "[0, 1, 4, 6, 2, 5, 3]",
-    "232": "[1, 2, 4, 6, 0, 5, 3]",
-    "233": "[2, 0, 4, 6, 1, 5, 3]",
-    "234": "[3, 2, 5, 1, 0, 6, 4]",
-    "235": "[4, 3, 6, 2, 1, 0, 5]",
-    "236": "[5, 4, 0, 3, 2, 1, 6]",
-    "237": "[6, 3, 5, 2, 1, 0, 4]",
-    "238": "[0, 1, 5, 2, 3, 6, 4]",
-    "239": "[1, 2, 5, 0, 3, 6, 4]",
-    "240": "[2, 0, 5, 1, 3, 6, 4]",
-    "241": "[3, 2, 6, 0, 4, 1, 5]",
-    "242": "[4, 3, 0, 1, 5, 2, 6]",
-    "243": "[5, 4, 1, 2, 6, 3, 0]",
-    "244": "[6, 3, 0, 1, 4, 2, 5]",
-    "245": "[0, 1, 6, 5, 2, 4, 3]",
-    "246": "[1, 2, 6, 5, 0, 4, 3]",
-    "247": "[2, 0, 6, 5, 1, 4, 3]",
-    "248": "[3, 2, 1, 6, 0, 5, 4]",
-    "249": "[4, 3, 2, 0, 1, 6, 5]",
-    "250": "[5, 4, 3, 1, 2, 0, 6]",
-    "251": "[6, 3, 2, 0, 1, 5, 4]",
-    "252": "[0, 5, 1, 2, 4, 6, 3]",
-    "253": "[1, 5, 2, 0, 4, 6, 3]",
-    "254": "[2, 5, 0, 1, 4, 6, 3]",
-    "255": "[3, 6, 2, 0, 5, 1, 4]",
-    "256": "[4, 0, 3, 1, 6, 2, 5]",
-    "257": "[5, 1, 4, 2, 0, 3, 6]",
-    "258": "[6, 0, 3, 1, 5, 2, 4]",
-    "259": "[0, 3, 2, 5, 6, 4, 1]",
-    "260": "[1, 3, 0, 5, 6, 4, 2]",
-    "261": "[2, 3, 1, 5, 6, 4, 0]",
-    "262": "[3, 4, 0, 6, 1, 5, 2]",
-    "263": "[4, 5, 1, 0, 2, 6, 3]",
-    "264": "[5, 6, 2, 1, 3, 0, 4]",
-    "265": "[6, 4, 1, 0, 2, 5, 3]",
-    "266": "[0, 4, 3, 6, 2, 5, 1]",
-    "267": "[1, 4, 3, 6, 0, 5, 2]",
-    "268": "[2, 4, 3, 6, 1, 5, 0]",
-    "269": "[3, 5, 4, 1, 0, 6, 2]",
-    "270": "[4, 6, 5, 2, 1, 0, 3]",
-    "271": "[5, 0, 6, 3, 2, 1, 4]",
-    "272": "[6, 5, 4, 2, 1, 0, 3]",
-    "273": "[0, 5, 4, 2, 3, 6, 1]",
-    "274": "[1, 5, 4, 0, 3, 6, 2]",
-    "275": "[2, 5, 4, 1, 3, 6, 0]",
-    "276": "[3, 6, 5, 0, 4, 1, 2]",
-    "277": "[4, 0, 6, 1, 5, 2, 3]",
-    "278": "[5, 1, 0, 2, 6, 3, 4]",
-    "279": "[6, 0, 5, 1, 4, 2, 3]",
-    "280": "[0, 6, 5, 3, 4, 2, 1]",
-    "281": "[1, 6, 5, 3, 4, 0, 2]",
-    "282": "[2, 6, 5, 3, 4, 1, 0]",
-    "283": "[3, 1, 6, 4, 5, 0, 2]",
-    "284": "[4, 2, 0, 5, 6, 1, 3]",
-    "285": "[5, 3, 1, 6, 0, 2, 4]",
-    "286": "[6, 2, 0, 4, 5, 1, 3]",
-    "287": "[0, 4, 6, 2, 3, 5, 1]",
-    "288": "[1, 4, 6, 0, 3, 5, 2]",
-    "289": "[2, 4, 6, 1, 3, 5, 0]",
-    "290": "[3, 5, 1, 0, 4, 6, 2]",
-    "291": "[4, 6, 2, 1, 5, 0, 3]",
-    "292": "[5, 0, 3, 2, 6, 1, 4]",
-    "293": "[6, 5, 2, 1, 4, 0, 3]",
-    "294": "[0, 6, 1, 4, 3, 2, 5]",
-    "295": "[1, 6, 2, 4, 3, 0, 5]",
-    "296": "[2, 6, 0, 4, 3, 1, 5]",
-    "297": "[3, 1, 2, 5, 4, 0, 6]",
-    "298": "[4, 2, 3, 6, 5, 1, 0]",
-    "299": "[5, 3, 4, 0, 6, 2, 1]",
-    "300": "[6, 2, 3, 5, 4, 1, 0]",
-    "301": "[0, 4, 2, 6, 1, 5, 3]",
-    "302": "[1, 4, 0, 6, 2, 5, 3]",
-    "303": "[2, 4, 1, 6, 0, 5, 3]",
-    "304": "[3, 5, 0, 1, 2, 6, 4]",
-    "305": "[4, 6, 1, 2, 3, 0, 5]",
-    "306": "[5, 0, 2, 3, 4, 1, 6]",
-    "307": "[6, 5, 1, 2, 3, 0, 4]",
-    "308": "[0, 5, 3, 2, 1, 6, 4]",
-    "309": "[1, 5, 3, 0, 2, 6, 4]",
-    "310": "[2, 5, 3, 1, 0, 6, 4]",
-    "311": "[3, 6, 4, 0, 2, 1, 5]",
-    "312": "[4, 0, 5, 1, 3, 2, 6]",
-    "313": "[5, 1, 6, 2, 4, 3, 0]",
-    "314": "[6, 0, 4, 1, 3, 2, 5]",
-    "315": "[0, 6, 4, 3, 1, 2, 5]",
-    "316": "[1, 6, 4, 3, 2, 0, 5]",
-    "317": "[2, 6, 4, 3, 0, 1, 5]",
-    "318": "[3, 1, 5, 4, 2, 0, 6]",
-    "319": "[4, 2, 6, 5, 3, 1, 0]",
-    "320": "[5, 3, 0, 6, 4, 2, 1]",
-    "321": "[6, 2, 5, 4, 3, 1, 0]",
-    "322": "[0, 2, 5, 4, 1, 3, 6]",
-    "323": "[1, 0, 5, 4, 2, 3, 6]",
-    "324": "[2, 1, 5, 4, 0, 3, 6]",
-    "325": "[3, 0, 6, 5, 2, 4, 1]",
-    "326": "[4, 1, 0, 6, 3, 5, 2]",
-    "327": "[5, 2, 1, 0, 4, 6, 3]",
-    "328": "[6, 1, 0, 5, 3, 4, 2]",
-    "329": "[0, 5, 6, 3, 1, 2, 4]",
-    "330": "[1, 5, 6, 3, 2, 0, 4]",
-    "331": "[2, 5, 6, 3, 0, 1, 4]",
-    "332": "[3, 6, 1, 4, 2, 0, 5]",
-    "333": "[4, 0, 2, 5, 3, 1, 6]",
-    "334": "[5, 1, 3, 6, 4, 2, 0]",
-    "335": "[6, 0, 2, 4, 3, 1, 5]",
-    "336": "[0, 2, 1, 3, 5, 4, 6]",
-    "337": "[1, 0, 2, 3, 5, 4, 6]",
-    "338": "[2, 1, 0, 3, 5, 4, 6]",
-    "339": "[3, 0, 2, 4, 6, 5, 1]",
-    "340": "[4, 1, 3, 5, 0, 6, 2]",
-    "341": "[5, 2, 4, 6, 1, 0, 3]",
-    "342": "[6, 1, 3, 4, 0, 5, 2]",
-    "343": "[0, 5, 2, 1, 3, 6, 4]",
-    "344": "[1, 5, 0, 2, 3, 6, 4]",
-    "345": "[2, 5, 1, 0, 3, 6, 4]",
-    "346": "[3, 6, 0, 2, 4, 1, 5]",
-    "347": "[4, 0, 1, 3, 5, 2, 6]",
-    "348": "[5, 1, 2, 4, 6, 3, 0]",
-    "349": "[6, 0, 1, 3, 4, 2, 5]",
-    "350": "[0, 6, 3, 1, 4, 2, 5]",
-    "351": "[1, 6, 3, 2, 4, 0, 5]",
-    "352": "[2, 6, 3, 0, 4, 1, 5]",
-    "353": "[3, 1, 4, 2, 5, 0, 6]",
-    "354": "[4, 2, 5, 3, 6, 1, 0]",
-    "355": "[5, 3, 6, 4, 0, 2, 1]",
-    "356": "[6, 2, 4, 3, 5, 1, 0]",
-    "357": "[0, 2, 4, 1, 5, 3, 6]",
-    "358": "[1, 0, 4, 2, 5, 3, 6]",
-    "359": "[2, 1, 4, 0, 5, 3, 6]",
-    "360": "[3, 0, 5, 2, 6, 4, 1]",
-    "361": "[4, 1, 6, 3, 0, 5, 2]",
-    "362": "[5, 2, 0, 4, 1, 6, 3]",
-    "363": "[6, 1, 5, 3, 0, 4, 2]",
-    "364": "[0, 3, 5, 1, 6, 4, 2]",
-    "365": "[1, 3, 5, 2, 6, 4, 0]",
-    "366": "[2, 3, 5, 0, 6, 4, 1]",
-    "367": "[3, 4, 6, 2, 1, 5, 0]",
-    "368": "[4, 5, 0, 3, 2, 6, 1]",
-    "369": "[5, 6, 1, 4, 3, 0, 2]",
-    "370": "[6, 4, 0, 3, 2, 5, 1]",
-    "371": "[0, 2, 6, 1, 4, 3, 5]",
-    "372": "[1, 0, 6, 2, 4, 3, 5]",
-    "373": "[2, 1, 6, 0, 4, 3, 5]",
-    "374": "[3, 0, 1, 2, 5, 4, 6]",
-    "375": "[4, 1, 2, 3, 6, 5, 0]",
-    "376": "[5, 2, 3, 4, 0, 6, 1]",
-    "377": "[6, 1, 2, 3, 5, 4, 0]",
-    "378": "[0, 4, 1, 2, 3, 6, 5]",
-    "379": "[1, 4, 2, 0, 3, 6, 5]",
-    "380": "[2, 4, 0, 1, 3, 6, 5]",
-    "381": "[3, 5, 2, 0, 4, 1, 6]",
-    "382": "[4, 6, 3, 1, 5, 2, 0]",
-    "383": "[5, 0, 4, 2, 6, 3, 1]",
-    "384": "[6, 5, 3, 1, 4, 2, 0]",
-    "385": "[0, 6, 2, 5, 1, 4, 3]",
-    "386": "[1, 6, 0, 5, 2, 4, 3]",
-    "387": "[2, 6, 1, 5, 0, 4, 3]",
-    "388": "[3, 1, 0, 6, 2, 5, 4]",
-    "389": "[4, 2, 1, 0, 3, 6, 5]",
-    "390": "[5, 3, 2, 1, 4, 0, 6]",
-    "391": "[6, 2, 1, 0, 3, 5, 4]",
-    "392": "[0, 2, 3, 6, 1, 5, 4]",
-    "393": "[1, 0, 3, 6, 2, 5, 4]",
-    "394": "[2, 1, 3, 6, 0, 5, 4]",
-    "395": "[3, 0, 4, 1, 2, 6, 5]",
-    "396": "[4, 1, 5, 2, 3, 0, 6]",
-    "397": "[5, 2, 6, 3, 4, 1, 0]",
-    "398": "[6, 1, 4, 2, 3, 0, 5]",
-    "399": "[0, 3, 4, 2, 1, 6, 5]",
-    "400": "[1, 3, 4, 0, 2, 6, 5]",
-    "401": "[2, 3, 4, 1, 0, 6, 5]",
-    "402": "[3, 4, 5, 0, 2, 1, 6]",
-    "403": "[4, 5, 6, 1, 3, 2, 0]",
-    "404": "[5, 6, 0, 2, 4, 3, 1]",
-    "405": "[6, 4, 5, 1, 3, 2, 0]",
-    "406": "[0, 4, 5, 3, 1, 2, 6]",
-    "407": "[1, 4, 5, 3, 2, 0, 6]",
-    "408": "[2, 4, 5, 3, 0, 1, 6]",
-    "409": "[3, 5, 6, 4, 2, 0, 1]",
-    "410": "[4, 6, 0, 5, 3, 1, 2]",
-    "411": "[5, 0, 1, 6, 4, 2, 3]",
-    "412": "[6, 5, 0, 4, 3, 1, 2]",
-    "413": "[0, 3, 6, 2, 1, 5, 4]",
-    "414": "[1, 3, 6, 0, 2, 5, 4]",
-    "415": "[2, 3, 6, 1, 0, 5, 4]",
-    "416": "[3, 4, 1, 0, 2, 6, 5]",
-    "417": "[4, 5, 2, 1, 3, 0, 6]",
-    "418": "[5, 6, 3, 2, 4, 1, 0]",
-    "419": "[6, 4, 2, 1, 3, 0, 5]",
-    "420": "[0, 3, 1, 2, 5, 6, 4]",
-    "421": "[1, 3, 2, 0, 5, 6, 4]",
-    "422": "[2, 3, 0, 1, 5, 6, 4]",
-    "423": "[3, 4, 2, 0, 6, 1, 5]",
-    "424": "[4, 5, 3, 1, 0, 2, 6]",
-    "425": "[5, 6, 4, 2, 1, 3, 0]",
-    "426": "[6, 4, 3, 1, 0, 2, 5]",
-    "427": "[0, 1, 2, 5, 3, 4, 6]",
-    "428": "[1, 2, 0, 5, 3, 4, 6]",
-    "429": "[2, 0, 1, 5, 3, 4, 6]",
-    "430": "[3, 2, 0, 6, 4, 5, 1]",
-    "431": "[4, 3, 1, 0, 5, 6, 2]",
-    "432": "[5, 4, 2, 1, 6, 0, 3]",
-    "433": "[6, 3, 1, 0, 4, 5, 2]",
-    "434": "[0, 1, 3, 6, 4, 5, 2]",
-    "435": "[1, 2, 3, 6, 4, 5, 0]",
-    "436": "[2, 0, 3, 6, 4, 5, 1]",
-    "437": "[3, 2, 4, 1, 5, 6, 0]",
-    "438": "[4, 3, 5, 2, 6, 0, 1]",
-    "439": "[5, 4, 6, 3, 0, 1, 2]",
-    "440": "[6, 3, 4, 2, 5, 0, 1]",
-    "441": "[0, 1, 4, 2, 5, 6, 3]",
-    "442": "[1, 2, 4, 0, 5, 6, 3]",
-    "443": "[2, 0, 4, 1, 5, 6, 3]",
-    "444": "[3, 2, 5, 0, 6, 1, 4]",
-    "445": "[4, 3, 6, 1, 0, 2, 5]",
-    "446": "[5, 4, 0, 2, 1, 3, 6]",
-    "447": "[6, 3, 5, 1, 0, 2, 4]",
-    "448": "[0, 1, 5, 3, 6, 2, 4]",
-    "449": "[1, 2, 5, 3, 6, 0, 4]",
-    "450": "[2, 0, 5, 3, 6, 1, 4]",
-    "451": "[3, 2, 6, 4, 1, 0, 5]",
-    "452": "[4, 3, 0, 5, 2, 1, 6]",
-    "453": "[5, 4, 1, 6, 3, 2, 0]",
-    "454": "[6, 3, 0, 4, 2, 1, 5]",
-    "455": "[0, 1, 6, 2, 4, 5, 3]",
-    "456": "[1, 2, 6, 0, 4, 5, 3]",
-    "457": "[2, 0, 6, 1, 4, 5, 3]",
-    "458": "[3, 2, 1, 0, 5, 6, 4]",
-    "459": "[4, 3, 2, 1, 6, 0, 5]",
-    "460": "[5, 4, 3, 2, 0, 1, 6]",
-    "461": "[6, 3, 2, 1, 5, 0, 4]",
-    "462": "[0, 5, 1, 4, 6, 2, 3]",
-    "463": "[1, 5, 2, 4, 6, 0, 3]",
-    "464": "[2, 5, 0, 4, 6, 1, 3]",
-    "465": "[3, 6, 2, 5, 1, 0, 4]",
-    "466": "[4, 0, 3, 6, 2, 1, 5]",
-    "467": "[5, 1, 4, 0, 3, 2, 6]",
-    "468": "[6, 0, 3, 5, 2, 1, 4]",
-    "469": "[0, 3, 2, 6, 4, 5, 1]",
-    "470": "[1, 3, 0, 6, 4, 5, 2]",
-    "471": "[2, 3, 1, 6, 4, 5, 0]",
-    "472": "[3, 4, 0, 1, 5, 6, 2]",
-    "473": "[4, 5, 1, 2, 6, 0, 3]",
-    "474": "[5, 6, 2, 3, 0, 1, 4]",
-    "475": "[6, 4, 1, 2, 5, 0, 3]",
-    "476": "[0, 4, 3, 2, 5, 6, 1]",
-    "477": "[1, 4, 3, 0, 5, 6, 2]",
-    "478": "[2, 4, 3, 1, 5, 6, 0]",
-    "479": "[3, 5, 4, 0, 6, 1, 2]",
-    "480": "[4, 6, 5, 1, 0, 2, 3]",
-    "481": "[5, 0, 6, 2, 1, 3, 4]",
-    "482": "[6, 5, 4, 1, 0, 2, 3]",
-    "483": "[0, 5, 4, 3, 6, 2, 1]",
-    "484": "[1, 5, 4, 3, 6, 0, 2]",
-    "485": "[2, 5, 4, 3, 6, 1, 0]",
-    "486": "[3, 6, 5, 4, 1, 0, 2]",
-    "487": "[4, 0, 6, 5, 2, 1, 3]",
-    "488": "[5, 1, 0, 6, 3, 2, 4]",
-    "489": "[6, 0, 5, 4, 2, 1, 3]",
-    "490": "[0, 6, 5, 4, 2, 3, 1]",
-    "491": "[1, 6, 5, 4, 0, 3, 2]",
-    "492": "[2, 6, 5, 4, 1, 3, 0]",
-    "493": "[3, 1, 6, 5, 0, 4, 2]",
-    "494": "[4, 2, 0, 6, 1, 5, 3]",
-    "495": "[5, 3, 1, 0, 2, 6, 4]",
-    "496": "[6, 2, 0, 5, 1, 4, 3]",
-    "497": "[0, 4, 6, 3, 5, 2, 1]",
-    "498": "[1, 4, 6, 3, 5, 0, 2]",
-    "499": "[2, 4, 6, 3, 5, 1, 0]",
-    "500": "[3, 5, 1, 4, 6, 0, 2]",
-    "501": "[4, 6, 2, 5, 0, 1, 3]",
-    "502": "[5, 0, 3, 6, 1, 2, 4]",
-    "503": "[6, 5, 2, 4, 0, 1, 3]",
-    "504": "[0, 6, 1, 3, 2, 4, 5]",
-    "505": "[1, 6, 2, 3, 0, 4, 5]",
-    "506": "[2, 6, 0, 3, 1, 4, 5]",
-    "507": "[3, 1, 2, 4, 0, 5, 6]",
-    "508": "[4, 2, 3, 5, 1, 6, 0]",
-    "509": "[5, 3, 4, 6, 2, 0, 1]",
-    "510": "[6, 2, 3, 4, 1, 5, 0]",
-    "511": "[0, 4, 2, 1, 5, 6, 3]",
-    "512": "[1, 4, 0, 2, 5, 6, 3]",
-    "513": "[2, 4, 1, 0, 5, 6, 3]",
-    "514": "[3, 5, 0, 2, 6, 1, 4]",
-    "515": "[4, 6, 1, 3, 0, 2, 5]",
-    "516": "[5, 0, 2, 4, 1, 3, 6]",
-    "517": "[6, 5, 1, 3, 0, 2, 4]",
-    "518": "[0, 5, 3, 1, 6, 2, 4]",
-    "519": "[1, 5, 3, 2, 6, 0, 4]",
-    "520": "[2, 5, 3, 0, 6, 1, 4]",
-    "521": "[3, 6, 4, 2, 1, 0, 5]",
-    "522": "[4, 0, 5, 3, 2, 1, 6]",
-    "523": "[5, 1, 6, 4, 3, 2, 0]",
-    "524": "[6, 0, 4, 3, 2, 1, 5]",
-    "525": "[0, 6, 4, 1, 2, 3, 5]",
-    "526": "[1, 6, 4, 2, 0, 3, 5]",
-    "527": "[2, 6, 4, 0, 1, 3, 5]",
-    "528": "[3, 1, 5, 2, 0, 4, 6]",
-    "529": "[4, 2, 6, 3, 1, 5, 0]",
-    "530": "[5, 3, 0, 4, 2, 6, 1]",
-    "531": "[6, 2, 5, 3, 1, 4, 0]",
-    "532": "[0, 2, 5, 1, 3, 4, 6]",
-    "533": "[1, 0, 5, 2, 3, 4, 6]",
-    "534": "[2, 1, 5, 0, 3, 4, 6]",
-    "535": "[3, 0, 6, 2, 4, 5, 1]",
-    "536": "[4, 1, 0, 3, 5, 6, 2]",
-    "537": "[5, 2, 1, 4, 6, 0, 3]",
-    "538": "[6, 1, 0, 3, 4, 5, 2]",
-    "539": "[0, 5, 6, 1, 2, 3, 4]",
-    "540": "[1, 5, 6, 2, 0, 3, 4]",
-    "541": "[2, 5, 6, 0, 1, 3, 4]",
-    "542": "[3, 6, 1, 2, 0, 4, 5]",
-    "543": "[4, 0, 2, 3, 1, 5, 6]",
-    "544": "[5, 1, 3, 4, 2, 6, 0]",
-    "545": "[6, 0, 2, 3, 1, 4, 5]",
-    "546": "[0, 2, 1, 5, 4, 3, 6]",
-    "547": "[1, 0, 2, 5, 4, 3, 6]",
-    "548": "[2, 1, 0, 5, 4, 3, 6]",
-    "549": "[3, 0, 2, 6, 5, 4, 1]",
-    "550": "[4, 1, 3, 0, 6, 5, 2]",
-    "551": "[5, 2, 4, 1, 0, 6, 3]",
-    "552": "[6, 1, 3, 0, 5, 4, 2]",
-    "553": "[0, 5, 2, 3, 6, 1, 4]",
-    "554": "[1, 5, 0, 3, 6, 2, 4]",
-    "555": "[2, 5, 1, 3, 6, 0, 4]",
-    "556": "[3, 6, 0, 4, 1, 2, 5]",
-    "557": "[4, 0, 1, 5, 2, 3, 6]",
-    "558": "[5, 1, 2, 6, 3, 4, 0]",
-    "559": "[6, 0, 1, 4, 2, 3, 5]",
-    "560": "[0, 6, 3, 4, 2, 1, 5]",
-    "561": "[1, 6, 3, 4, 0, 2, 5]",
-    "562": "[2, 6, 3, 4, 1, 0, 5]",
-    "563": "[3, 1, 4, 5, 0, 2, 6]",
-    "564": "[4, 2, 5, 6, 1, 3, 0]",
-    "565": "[5, 3, 6, 0, 2, 4, 1]",
-    "566": "[6, 2, 4, 5, 1, 3, 0]",
-    "567": "[0, 2, 4, 5, 3, 1, 6]",
-    "568": "[1, 0, 4, 5, 3, 2, 6]",
-    "569": "[2, 1, 4, 5, 3, 0, 6]",
-    "570": "[3, 0, 5, 6, 4, 2, 1]",
-    "571": "[4, 1, 6, 0, 5, 3, 2]",
-    "572": "[5, 2, 0, 1, 6, 4, 3]",
-    "573": "[6, 1, 5, 0, 4, 3, 2]",
-    "574": "[0, 3, 5, 6, 4, 1, 2]",
-    "575": "[1, 3, 5, 6, 4, 2, 0]",
-    "576": "[2, 3, 5, 6, 4, 0, 1]",
-    "577": "[3, 4, 6, 1, 5, 2, 0]",
-    "578": "[4, 5, 0, 2, 6, 3, 1]",
-    "579": "[5, 6, 1, 3, 0, 4, 2]",
-    "580": "[6, 4, 0, 2, 5, 3, 1]",
-    "581": "[0, 2, 6, 4, 3, 1, 5]",
-    "582": "[1, 0, 6, 4, 3, 2, 5]",
-    "583": "[2, 1, 6, 4, 3, 0, 5]",
-    "584": "[3, 0, 1, 5, 4, 2, 6]",
-    "585": "[4, 1, 2, 6, 5, 3, 0]",
-    "586": "[5, 2, 3, 0, 6, 4, 1]",
-    "587": "[6, 1, 2, 5, 4, 3, 0]",
-    "588": "[0, 4, 1, 3, 6, 2, 5]",
-    "589": "[1, 4, 2, 3, 6, 0, 5]",
-    "590": "[2, 4, 0, 3, 6, 1, 5]",
-    "591": "[3, 5, 2, 4, 1, 0, 6]",
-    "592": "[4, 6, 3, 5, 2, 1, 0]",
-    "593": "[5, 0, 4, 6, 3, 2, 1]",
-    "594": "[6, 5, 3, 4, 2, 1, 0]",
-    "595": "[0, 6, 2, 1, 4, 5, 3]",
-    "596": "[1, 6, 0, 2, 4, 5, 3]",
-    "597": "[2, 6, 1, 0, 4, 5, 3]",
-    "598": "[3, 1, 0, 2, 5, 6, 4]",
-    "599": "[4, 2, 1, 3, 6, 0, 5]",
-    "600": "[5, 3, 2, 4, 0, 1, 6]",
-    "601": "[6, 2, 1, 3, 5, 0, 4]",
-    "602": "[0, 2, 3, 1, 5, 6, 4]",
-    "603": "[1, 0, 3, 2, 5, 6, 4]",
-    "604": "[2, 1, 3, 0, 5, 6, 4]",
-    "605": "[3, 0, 4, 2, 6, 1, 5]",
-    "606": "[4, 1, 5, 3, 0, 2, 6]",
-    "607": "[5, 2, 6, 4, 1, 3, 0]",
-    "608": "[6, 1, 4, 3, 0, 2, 5]",
-    "609": "[0, 3, 4, 1, 6, 2, 5]",
-    "610": "[1, 3, 4, 2, 6, 0, 5]",
-    "611": "[2, 3, 4, 0, 6, 1, 5]",
-    "612": "[3, 4, 5, 2, 1, 0, 6]",
-    "613": "[4, 5, 6, 3, 2, 1, 0]",
-    "614": "[5, 6, 0, 4, 3, 2, 1]",
-    "615": "[6, 4, 5, 3, 2, 1, 0]",
-    "616": "[0, 4, 5, 1, 2, 3, 6]",
-    "617": "[1, 4, 5, 2, 0, 3, 6]",
-    "618": "[2, 4, 5, 0, 1, 3, 6]",
-    "619": "[3, 5, 6, 2, 0, 4, 1]",
-    "620": "[4, 6, 0, 3, 1, 5, 2]",
-    "621": "[5, 0, 1, 4, 2, 6, 3]",
-    "622": "[6, 5, 0, 3, 1, 4, 2]",
-    "623": "[0, 3, 6, 1, 5, 2, 4]",
-    "624": "[1, 3, 6, 2, 5, 0, 4]",
-    "625": "[2, 3, 6, 0, 5, 1, 4]",
-    "626": "[3, 4, 1, 2, 6, 0, 5]",
-    "627": "[4, 5, 2, 3, 0, 1, 6]",
-    "628": "[5, 6, 3, 4, 1, 2, 0]",
-    "629": "[6, 4, 2, 3, 0, 1, 5]",
-    "630": "[0, 3, 1, 4, 6, 5, 2]",
-    "631": "[1, 3, 2, 4, 6, 5, 0]",
-    "632": "[2, 3, 0, 4, 6, 5, 1]",
-    "633": "[3, 4, 2, 5, 1, 6, 0]",
-    "634": "[4, 5, 3, 6, 2, 0, 1]",
-    "635": "[5, 6, 4, 0, 3, 1, 2]",
-    "636": "[6, 4, 3, 5, 2, 0, 1]",
-    "637": "[0, 1, 2, 6, 4, 3, 5]",
-    "638": "[1, 2, 0, 6, 4, 3, 5]",
-    "639": "[2, 0, 1, 6, 4, 3, 5]",
-    "640": "[3, 2, 0, 1, 5, 4, 6]",
-    "641": "[4, 3, 1, 2, 6, 5, 0]",
-    "642": "[5, 4, 2, 3, 0, 6, 1]",
-    "643": "[6, 3, 1, 2, 5, 4, 0]",
-    "644": "[0, 1, 3, 2, 5, 4, 6]",
-    "645": "[1, 2, 3, 0, 5, 4, 6]",
-    "646": "[2, 0, 3, 1, 5, 4, 6]",
-    "647": "[3, 2, 4, 0, 6, 5, 1]",
-    "648": "[4, 3, 5, 1, 0, 6, 2]",
-    "649": "[5, 4, 6, 2, 1, 0, 3]",
-    "650": "[6, 3, 4, 1, 0, 5, 2]",
-    "651": "[0, 1, 4, 3, 6, 5, 2]",
-    "652": "[1, 2, 4, 3, 6, 5, 0]",
-    "653": "[2, 0, 4, 3, 6, 5, 1]",
-    "654": "[3, 2, 5, 4, 1, 6, 0]",
-    "655": "[4, 3, 6, 5, 2, 0, 1]",
-    "656": "[5, 4, 0, 6, 3, 1, 2]",
-    "657": "[6, 3, 5, 4, 2, 0, 1]",
-    "658": "[0, 1, 5, 4, 2, 6, 3]",
-    "659": "[1, 2, 5, 4, 0, 6, 3]",
-    "660": "[2, 0, 5, 4, 1, 6, 3]",
-    "661": "[3, 2, 6, 5, 0, 1, 4]",
-    "662": "[4, 3, 0, 6, 1, 2, 5]",
-    "663": "[5, 4, 1, 0, 2, 3, 6]",
-    "664": "[6, 3, 0, 5, 1, 2, 4]",
-    "665": "[0, 1, 6, 3, 5, 4, 2]",
-    "666": "[1, 2, 6, 3, 5, 4, 0]",
-    "667": "[2, 0, 6, 3, 5, 4, 1]",
-    "668": "[3, 2, 1, 4, 6, 5, 0]",
-    "669": "[4, 3, 2, 5, 0, 6, 1]",
-    "670": "[5, 4, 3, 6, 1, 0, 2]",
-    "671": "[6, 3, 2, 4, 0, 5, 1]",
-    "672": "[0, 5, 1, 3, 2, 6, 4]",
-    "673": "[1, 5, 2, 3, 0, 6, 4]",
-    "674": "[2, 5, 0, 3, 1, 6, 4]",
-    "675": "[3, 6, 2, 4, 0, 1, 5]",
-    "676": "[4, 0, 3, 5, 1, 2, 6]",
-    "677": "[5, 1, 4, 6, 2, 3, 0]",
-    "678": "[6, 0, 3, 4, 1, 2, 5]",
-    "679": "[0, 3, 2, 1, 5, 4, 6]",
-    "680": "[1, 3, 0, 2, 5, 4, 6]",
-    "681": "[2, 3, 1, 0, 5, 4, 6]",
-    "682": "[3, 4, 0, 2, 6, 5, 1]",
-    "683": "[4, 5, 1, 3, 0, 6, 2]",
-    "684": "[5, 6, 2, 4, 1, 0, 3]",
-    "685": "[6, 4, 1, 3, 0, 5, 2]",
-    "686": "[0, 4, 3, 1, 6, 5, 2]",
-    "687": "[1, 4, 3, 2, 6, 5, 0]",
-    "688": "[2, 4, 3, 0, 6, 5, 1]",
-    "689": "[3, 5, 4, 2, 1, 6, 0]",
-    "690": "[4, 6, 5, 3, 2, 0, 1]",
-    "691": "[5, 0, 6, 4, 3, 1, 2]",
-    "692": "[6, 5, 4, 3, 2, 0, 1]",
-    "693": "[0, 5, 4, 1, 2, 6, 3]",
-    "694": "[1, 5, 4, 2, 0, 6, 3]",
-    "695": "[2, 5, 4, 0, 1, 6, 3]",
-    "696": "[3, 6, 5, 2, 0, 1, 4]",
-    "697": "[4, 0, 6, 3, 1, 2, 5]",
-    "698": "[5, 1, 0, 4, 2, 3, 6]",
-    "699": "[6, 0, 5, 3, 1, 2, 4]",
-    "700": "[0, 6, 5, 1, 3, 2, 4]",
-    "701": "[1, 6, 5, 2, 3, 0, 4]",
-    "702": "[2, 6, 5, 0, 3, 1, 4]",
-    "703": "[3, 1, 6, 2, 4, 0, 5]",
-    "704": "[4, 2, 0, 3, 5, 1, 6]",
-    "705": "[5, 3, 1, 4, 6, 2, 0]",
-    "706": "[6, 2, 0, 3, 4, 1, 5]",
-    "707": "[0, 4, 6, 1, 2, 5, 3]",
-    "708": "[1, 4, 6, 2, 0, 5, 3]",
-    "709": "[2, 4, 6, 0, 1, 5, 3]",
-    "710": "[3, 5, 1, 2, 0, 6, 4]",
-    "711": "[4, 6, 2, 3, 1, 0, 5]",
-    "712": "[5, 0, 3, 4, 2, 1, 6]",
-    "713": "[6, 5, 2, 3, 1, 0, 4]",
-    "714": "[0, 6, 1, 5, 4, 2, 3]",
-    "715": "[1, 6, 2, 5, 4, 0, 3]",
-    "716": "[2, 6, 0, 5, 4, 1, 3]",
-    "717": "[3, 1, 2, 6, 5, 0, 4]",
-    "718": "[4, 2, 3, 0, 6, 1, 5]",
-    "719": "[5, 3, 4, 1, 0, 2, 6]",
-    "720": "[6, 2, 3, 0, 5, 1, 4]",
-    "721": "[0, 4, 2, 3, 6, 5, 1]",
-    "722": "[1, 4, 0, 3, 6, 5, 2]",
-    "723": "[2, 4, 1, 3, 6, 5, 0]",
-    "724": "[3, 5, 0, 4, 1, 6, 2]",
-    "725": "[4, 6, 1, 5, 2, 0, 3]",
-    "726": "[5, 0, 2, 6, 3, 1, 4]",
-    "727": "[6, 5, 1, 4, 2, 0, 3]",
-    "728": "[0, 5, 3, 4, 2, 6, 1]",
-    "729": "[1, 5, 3, 4, 0, 6, 2]",
-    "730": "[2, 5, 3, 4, 1, 6, 0]",
-    "731": "[3, 6, 4, 5, 0, 1, 2]",
-    "732": "[4, 0, 5, 6, 1, 2, 3]",
-    "733": "[5, 1, 6, 0, 2, 3, 4]",
-    "734": "[6, 0, 4, 5, 1, 2, 3]",
-    "735": "[0, 6, 4, 5, 3, 2, 1]",
-    "736": "[1, 6, 4, 5, 3, 0, 2]",
-    "737": "[2, 6, 4, 5, 3, 1, 0]",
-    "738": "[3, 1, 5, 6, 4, 0, 2]",
-    "739": "[4, 2, 6, 0, 5, 1, 3]",
-    "740": "[5, 3, 0, 1, 6, 2, 4]",
-    "741": "[6, 2, 5, 0, 4, 1, 3]",
-    "742": "[0, 2, 5, 6, 4, 3, 1]",
-    "743": "[1, 0, 5, 6, 4, 3, 2]",
-    "744": "[2, 1, 5, 6, 4, 3, 0]",
-    "745": "[3, 0, 6, 1, 5, 4, 2]",
-    "746": "[4, 1, 0, 2, 6, 5, 3]",
-    "747": "[5, 2, 1, 3, 0, 6, 4]",
-    "748": "[6, 1, 0, 2, 5, 4, 3]",
-    "749": "[0, 5, 6, 4, 3, 2, 1]",
-    "750": "[1, 5, 6, 4, 3, 0, 2]",
-    "751": "[2, 5, 6, 4, 3, 1, 0]",
-    "752": "[3, 6, 1, 5, 4, 0, 2]",
-    "753": "[4, 0, 2, 6, 5, 1, 3]",
-    "754": "[5, 1, 3, 0, 6, 2, 4]",
-    "755": "[6, 0, 2, 5, 4, 1, 3]",
-    "756": "[0, 2, 1, 6, 3, 4, 5]",
-    "757": "[1, 0, 2, 6, 3, 4, 5]",
-    "758": "[2, 1, 0, 6, 3, 4, 5]",
-    "759": "[3, 0, 2, 1, 4, 5, 6]",
-    "760": "[4, 1, 3, 2, 5, 6, 0]",
-    "761": "[5, 2, 4, 3, 6, 0, 1]",
-    "762": "[6, 1, 3, 2, 4, 5, 0]",
-    "763": "[0, 5, 2, 4, 1, 6, 3]",
-    "764": "[1, 5, 0, 4, 2, 6, 3]",
-    "765": "[2, 5, 1, 4, 0, 6, 3]",
-    "766": "[3, 6, 0, 5, 2, 1, 4]",
-    "767": "[4, 0, 1, 6, 3, 2, 5]",
-    "768": "[5, 1, 2, 0, 4, 3, 6]",
-    "769": "[6, 0, 1, 5, 3, 2, 4]",
-    "770": "[0, 6, 3, 5, 1, 2, 4]",
-    "771": "[1, 6, 3, 5, 2, 0, 4]",
-    "772": "[2, 6, 3, 5, 0, 1, 4]",
-    "773": "[3, 1, 4, 6, 2, 0, 5]",
-    "774": "[4, 2, 5, 0, 3, 1, 6]",
-    "775": "[5, 3, 6, 1, 4, 2, 0]",
-    "776": "[6, 2, 4, 0, 3, 1, 5]",
-    "777": "[0, 2, 4, 6, 1, 3, 5]",
-    "778": "[1, 0, 4, 6, 2, 3, 5]",
-    "779": "[2, 1, 4, 6, 0, 3, 5]",
-    "780": "[3, 0, 5, 1, 2, 4, 6]",
-    "781": "[4, 1, 6, 2, 3, 5, 0]",
-    "782": "[5, 2, 0, 3, 4, 6, 1]",
-    "783": "[6, 1, 5, 2, 3, 4, 0]",
-    "784": "[0, 3, 5, 2, 1, 4, 6]",
-    "785": "[1, 3, 5, 0, 2, 4, 6]",
-    "786": "[2, 3, 5, 1, 0, 4, 6]",
-    "787": "[3, 4, 6, 0, 2, 5, 1]",
-    "788": "[4, 5, 0, 1, 3, 6, 2]",
-    "789": "[5, 6, 1, 2, 4, 0, 3]",
-    "790": "[6, 4, 0, 1, 3, 5, 2]",
-    "791": "[0, 2, 6, 5, 1, 3, 4]",
-    "792": "[1, 0, 6, 5, 2, 3, 4]",
-    "793": "[2, 1, 6, 5, 0, 3, 4]",
-    "794": "[3, 0, 1, 6, 2, 4, 5]",
-    "795": "[4, 1, 2, 0, 3, 5, 6]",
-    "796": "[5, 2, 3, 1, 4, 6, 0]",
-    "797": "[6, 1, 2, 0, 3, 4, 5]",
-    "798": "[0, 4, 1, 5, 2, 6, 3]",
-    "799": "[1, 4, 2, 5, 0, 6, 3]",
-    "800": "[2, 4, 0, 5, 1, 6, 3]",
-    "801": "[3, 5, 2, 6, 0, 1, 4]",
-    "802": "[4, 6, 3, 0, 1, 2, 5]",
-    "803": "[5, 0, 4, 1, 2, 3, 6]",
-    "804": "[6, 5, 3, 0, 1, 2, 4]",
-    "805": "[0, 6, 2, 3, 5, 4, 1]",
-    "806": "[1, 6, 0, 3, 5, 4, 2]",
-    "807": "[2, 6, 1, 3, 5, 4, 0]",
-    "808": "[3, 1, 0, 4, 6, 5, 2]",
-    "809": "[4, 2, 1, 5, 0, 6, 3]",
-    "810": "[5, 3, 2, 6, 1, 0, 4]",
-    "811": "[6, 2, 1, 4, 0, 5, 3]",
-    "812": "[0, 2, 3, 4, 6, 5, 1]",
-    "813": "[1, 0, 3, 4, 6, 5, 2]",
-    "814": "[2, 1, 3, 4, 6, 5, 0]",
-    "815": "[3, 0, 4, 5, 1, 6, 2]",
-    "816": "[4, 1, 5, 6, 2, 0, 3]",
-    "817": "[5, 2, 6, 0, 3, 1, 4]",
-    "818": "[6, 1, 4, 5, 2, 0, 3]",
-    "819": "[0, 3, 4, 5, 2, 6, 1]",
-    "820": "[1, 3, 4, 5, 0, 6, 2]",
-    "821": "[2, 3, 4, 5, 1, 6, 0]",
-    "822": "[3, 4, 5, 6, 0, 1, 2]",
-    "823": "[4, 5, 6, 0, 1, 2, 3]",
-    "824": "[5, 6, 0, 1, 2, 3, 4]",
-    "825": "[6, 4, 5, 0, 1, 2, 3]",
-    "826": "[0, 4, 5, 6, 3, 2, 1]",
-    "827": "[1, 4, 5, 6, 3, 0, 2]",
-    "828": "[2, 4, 5, 6, 3, 1, 0]",
-    "829": "[3, 5, 6, 1, 4, 0, 2]",
-    "830": "[4, 6, 0, 2, 5, 1, 3]",
-    "831": "[5, 0, 1, 3, 6, 2, 4]",
-    "832": "[6, 5, 0, 2, 4, 1, 3]",
-    "833": "[0, 3, 6, 4, 2, 5, 1]",
-    "834": "[1, 3, 6, 4, 0, 5, 2]",
-    "835": "[2, 3, 6, 4, 1, 5, 0]",
-    "836": "[3, 4, 1, 5, 0, 6, 2]",
-    "837": "[4, 5, 2, 6, 1, 0, 3]",
-    "838": "[5, 6, 3, 0, 2, 1, 4]",
-    "839": "[6, 4, 2, 5, 1, 0, 3]",
-    "840": "[0, 3, 1, 5, 2, 4, 6]",
-    "841": "[1, 3, 2, 5, 0, 4, 6]",
-    "842": "[2, 3, 0, 5, 1, 4, 6]",
-    "843": "[3, 4, 2, 6, 0, 5, 1]",
-    "844": "[4, 5, 3, 0, 1, 6, 2]",
-    "845": "[5, 6, 4, 1, 2, 0, 3]",
-    "846": "[6, 4, 3, 0, 1, 5, 2]",
-    "847": "[0, 1, 2, 3, 5, 6, 4]",
-    "848": "[1, 2, 0, 3, 5, 6, 4]",
-    "849": "[2, 0, 1, 3, 5, 6, 4]",
-    "850": "[3, 2, 0, 4, 6, 1, 5]",
-    "851": "[4, 3, 1, 5, 0, 2, 6]",
-    "852": "[5, 4, 2, 6, 1, 3, 0]",
-    "853": "[6, 3, 1, 4, 0, 2, 5]",
-    "854": "[0, 1, 3, 4, 6, 2, 5]",
-    "855": "[1, 2, 3, 4, 6, 0, 5]",
-    "856": "[2, 0, 3, 4, 6, 1, 5]",
-    "857": "[3, 2, 4, 5, 1, 0, 6]",
-    "858": "[4, 3, 5, 6, 2, 1, 0]",
-    "859": "[5, 4, 6, 0, 3, 2, 1]",
-    "860": "[6, 3, 4, 5, 2, 1, 0]",
-    "861": "[0, 1, 4, 5, 2, 3, 6]",
-    "862": "[1, 2, 4, 5, 0, 3, 6]",
-    "863": "[2, 0, 4, 5, 1, 3, 6]",
-    "864": "[3, 2, 5, 6, 0, 4, 1]",
-    "865": "[4, 3, 6, 0, 1, 5, 2]",
-    "866": "[5, 4, 0, 1, 2, 6, 3]",
-    "867": "[6, 3, 5, 0, 1, 4, 2]",
-    "868": "[0, 1, 5, 6, 3, 4, 2]",
-    "869": "[1, 2, 5, 6, 3, 4, 0]",
-    "870": "[2, 0, 5, 6, 3, 4, 1]",
-    "871": "[3, 2, 6, 1, 4, 5, 0]",
-    "872": "[4, 3, 0, 2, 5, 6, 1]",
-    "873": "[5, 4, 1, 3, 6, 0, 2]",
-    "874": "[6, 3, 0, 2, 4, 5, 1]",
-    "875": "[0, 1, 6, 4, 2, 3, 5]",
-    "876": "[1, 2, 6, 4, 0, 3, 5]",
-    "877": "[2, 0, 6, 4, 1, 3, 5]",
-    "878": "[3, 2, 1, 5, 0, 4, 6]",
-    "879": "[4, 3, 2, 6, 1, 5, 0]",
-    "880": "[5, 4, 3, 0, 2, 6, 1]",
-    "881": "[6, 3, 2, 5, 1, 4, 0]",
-    "882": "[0, 5, 1, 6, 4, 3, 2]",
-    "883": "[1, 5, 2, 6, 4, 3, 0]",
-    "884": "[2, 5, 0, 6, 4, 3, 1]",
-    "885": "[3, 6, 2, 1, 5, 4, 0]",
-    "886": "[4, 0, 3, 2, 6, 5, 1]",
-    "887": "[5, 1, 4, 3, 0, 6, 2]",
-    "888": "[6, 0, 3, 2, 5, 4, 1]",
-    "889": "[0, 3, 2, 4, 6, 1, 5]",
-    "890": "[1, 3, 0, 4, 6, 2, 5]",
-    "891": "[2, 3, 1, 4, 6, 0, 5]",
-    "892": "[3, 4, 0, 5, 1, 2, 6]",
-    "893": "[4, 5, 1, 6, 2, 3, 0]",
-    "894": "[5, 6, 2, 0, 3, 4, 1]",
-    "895": "[6, 4, 1, 5, 2, 3, 0]",
-    "896": "[0, 4, 3, 5, 2, 1, 6]",
-    "897": "[1, 4, 3, 5, 0, 2, 6]",
-    "898": "[2, 4, 3, 5, 1, 0, 6]",
-    "899": "[3, 5, 4, 6, 0, 2, 1]",
-    "900": "[4, 6, 5, 0, 1, 3, 2]",
-    "901": "[5, 0, 6, 1, 2, 4, 3]",
-    "902": "[6, 5, 4, 0, 1, 3, 2]",
-    "903": "[0, 5, 4, 6, 3, 1, 2]",
-    "904": "[1, 5, 4, 6, 3, 2, 0]",
-    "905": "[2, 5, 4, 6, 3, 0, 1]",
-    "906": "[3, 6, 5, 1, 4, 2, 0]",
-    "907": "[4, 0, 6, 2, 5, 3, 1]",
-    "908": "[5, 1, 0, 3, 6, 4, 2]",
-    "909": "[6, 0, 5, 2, 4, 3, 1]",
-    "910": "[0, 6, 5, 2, 4, 1, 3]",
-    "911": "[1, 6, 5, 0, 4, 2, 3]",
-    "912": "[2, 6, 5, 1, 4, 0, 3]",
-    "913": "[3, 1, 6, 0, 5, 2, 4]",
-    "914": "[4, 2, 0, 1, 6, 3, 5]",
-    "915": "[5, 3, 1, 2, 0, 4, 6]",
-    "916": "[6, 2, 0, 1, 5, 3, 4]",
-    "917": "[0, 4, 6, 5, 3, 1, 2]",
-    "918": "[1, 4, 6, 5, 3, 2, 0]",
-    "919": "[2, 4, 6, 5, 3, 0, 1]",
-    "920": "[3, 5, 1, 6, 4, 2, 0]",
-    "921": "[4, 6, 2, 0, 5, 3, 1]",
-    "922": "[5, 0, 3, 1, 6, 4, 2]",
-    "923": "[6, 5, 2, 0, 4, 3, 1]",
-    "924": "[0, 6, 1, 2, 3, 5, 4]",
-    "925": "[1, 6, 2, 0, 3, 5, 4]",
-    "926": "[2, 6, 0, 1, 3, 5, 4]",
-    "927": "[3, 1, 2, 0, 4, 6, 5]",
-    "928": "[4, 2, 3, 1, 5, 0, 6]",
-    "929": "[5, 3, 4, 2, 6, 1, 0]",
-    "930": "[6, 2, 3, 1, 4, 0, 5]",
-    "931": "[0, 4, 2, 5, 1, 3, 6]",
-    "932": "[1, 4, 0, 5, 2, 3, 6]",
-    "933": "[2, 4, 1, 5, 0, 3, 6]",
-    "934": "[3, 5, 0, 6, 2, 4, 1]",
-    "935": "[4, 6, 1, 0, 3, 5, 2]",
-    "936": "[5, 0, 2, 1, 4, 6, 3]",
-    "937": "[6, 5, 1, 0, 3, 4, 2]",
-    "938": "[0, 5, 3, 6, 1, 4, 2]",
-    "939": "[1, 5, 3, 6, 2, 4, 0]",
-    "940": "[2, 5, 3, 6, 0, 4, 1]",
-    "941": "[3, 6, 4, 1, 2, 5, 0]",
-    "942": "[4, 0, 5, 2, 3, 6, 1]",
-    "943": "[5, 1, 6, 3, 4, 0, 2]",
-    "944": "[6, 0, 4, 2, 3, 5, 1]",
-    "945": "[0, 6, 4, 2, 1, 5, 3]",
-    "946": "[1, 6, 4, 0, 2, 5, 3]",
-    "947": "[2, 6, 4, 1, 0, 5, 3]",
-    "948": "[3, 1, 5, 0, 2, 6, 4]",
-    "949": "[4, 2, 6, 1, 3, 0, 5]",
-    "950": "[5, 3, 0, 2, 4, 1, 6]",
-    "951": "[6, 2, 5, 1, 3, 0, 4]",
-    "952": "[0, 2, 5, 3, 1, 6, 4]",
-    "953": "[1, 0, 5, 3, 2, 6, 4]",
-    "954": "[2, 1, 5, 3, 0, 6, 4]",
-    "955": "[3, 0, 6, 4, 2, 1, 5]",
-    "956": "[4, 1, 0, 5, 3, 2, 6]",
-    "957": "[5, 2, 1, 6, 4, 3, 0]",
-    "958": "[6, 1, 0, 4, 3, 2, 5]",
-    "959": "[0, 5, 6, 2, 1, 4, 3]",
-    "960": "[1, 5, 6, 0, 2, 4, 3]",
-    "961": "[2, 5, 6, 1, 0, 4, 3]",
-    "962": "[3, 6, 1, 0, 2, 5, 4]",
-    "963": "[4, 0, 2, 1, 3, 6, 5]",
-    "964": "[5, 1, 3, 2, 4, 0, 6]",
-    "965": "[6, 0, 2, 1, 3, 5, 4]",
-    "966": "[0, 2, 1, 4, 5, 6, 3]",
-    "967": "[1, 0, 2, 4, 5, 6, 3]",
-    "968": "[2, 1, 0, 4, 5, 6, 3]",
-    "969": "[3, 0, 2, 5, 6, 1, 4]",
-    "970": "[4, 1, 3, 6, 0, 2, 5]",
-    "971": "[5, 2, 4, 0, 1, 3, 6]",
-    "972": "[6, 1, 3, 5, 0, 2, 4]",
-    "973": "[0, 5, 2, 6, 3, 4, 1]",
-    "974": "[1, 5, 0, 6, 3, 4, 2]",
-    "975": "[2, 5, 1, 6, 3, 4, 0]",
-    "976": "[3, 6, 0, 1, 4, 5, 2]",
-    "977": "[4, 0, 1, 2, 5, 6, 3]",
-    "978": "[5, 1, 2, 3, 6, 0, 4]",
-    "979": "[6, 0, 1, 2, 4, 5, 3]",
-    "980": "[0, 6, 3, 2, 4, 5, 1]",
-    "981": "[1, 6, 3, 0, 4, 5, 2]",
-    "982": "[2, 6, 3, 1, 4, 5, 0]",
-    "983": "[3, 1, 4, 0, 5, 6, 2]",
-    "984": "[4, 2, 5, 1, 6, 0, 3]",
-    "985": "[5, 3, 6, 2, 0, 1, 4]",
-    "986": "[6, 2, 4, 1, 5, 0, 3]",
-    "987": "[0, 2, 4, 3, 5, 6, 1]",
-    "988": "[1, 0, 4, 3, 5, 6, 2]",
-    "989": "[2, 1, 4, 3, 5, 6, 0]",
-    "990": "[3, 0, 5, 4, 6, 1, 2]",
-    "991": "[4, 1, 6, 5, 0, 2, 3]",
-    "992": "[5, 2, 0, 6, 1, 3, 4]",
-    "993": "[6, 1, 5, 4, 0, 2, 3]",
-    "994": "[0, 3, 5, 4, 6, 2, 1]",
-    "995": "[1, 3, 5, 4, 6, 0, 2]",
-    "996": "[2, 3, 5, 4, 6, 1, 0]",
-    "997": "[3, 4, 6, 5, 1, 0, 2]",
-    "998": "[4, 5, 0, 6, 2, 1, 3]",
-    "999": "[5, 6, 1, 0, 3, 2, 4]",
-    "1000": "[6, 4, 0, 5, 2, 1, 3]",
-    "1001": "[0, 2, 6, 3, 4, 5, 1]",
-    "1002": "[1, 0, 6, 3, 4, 5, 2]",
-    "1003": "[2, 1, 6, 3, 4, 5, 0]",
-    "1004": "[3, 0, 1, 4, 5, 6, 2]",
-    "1005": "[4, 1, 2, 5, 6, 0, 3]",
-    "1006": "[5, 2, 3, 6, 0, 1, 4]",
-    "1007": "[6, 1, 2, 4, 5, 0, 3]",
-    "1008": "[0, 4, 1, 6, 3, 5, 2]",
-    "1009": "[1, 4, 2, 6, 3, 5, 0]",
-    "1010": "[2, 4, 0, 6, 3, 5, 1]",
-    "1011": "[3, 5, 2, 1, 4, 6, 0]",
-    "1012": "[4, 6, 3, 2, 5, 0, 1]",
-    "1013": "[5, 0, 4, 3, 6, 1, 2]",
-    "1014": "[6, 5, 3, 2, 4, 0, 1]",
-    "1015": "[0, 6, 2, 4, 1, 3, 5]",
-    "1016": "[1, 6, 0, 4, 2, 3, 5]",
-    "1017": "[2, 6, 1, 4, 0, 3, 5]",
-    "1018": "[3, 1, 0, 5, 2, 4, 6]",
-    "1019": "[4, 2, 1, 6, 3, 5, 0]",
-    "1020": "[5, 3, 2, 0, 4, 6, 1]",
-    "1021": "[6, 2, 1, 5, 3, 4, 0]",
-    "1022": "[0, 2, 3, 5, 1, 4, 6]",
-    "1023": "[1, 0, 3, 5, 2, 4, 6]",
-    "1024": "[2, 1, 3, 5, 0, 4, 6]",
-    "1025": "[3, 0, 4, 6, 2, 5, 1]",
-    "1026": "[4, 1, 5, 0, 3, 6, 2]",
-    "1027": "[5, 2, 6, 1, 4, 0, 3]",
-    "1028": "[6, 1, 4, 0, 3, 5, 2]",
-    "1029": "[0, 3, 4, 6, 1, 5, 2]",
-    "1030": "[1, 3, 4, 6, 2, 5, 0]",
-    "1031": "[2, 3, 4, 6, 0, 5, 1]",
-    "1032": "[3, 4, 5, 1, 2, 6, 0]",
-    "1033": "[4, 5, 6, 2, 3, 0, 1]",
-    "1034": "[5, 6, 0, 3, 4, 1, 2]",
-    "1035": "[6, 4, 5, 2, 3, 0, 1]",
-    "1036": "[0, 4, 5, 2, 1, 6, 3]",
-    "1037": "[1, 4, 5, 0, 2, 6, 3]",
-    "1038": "[2, 4, 5, 1, 0, 6, 3]",
-    "1039": "[3, 5, 6, 0, 2, 1, 4]",
-    "1040": "[4, 6, 0, 1, 3, 2, 5]",
-    "1041": "[5, 0, 1, 2, 4, 3, 6]",
-    "1042": "[6, 5, 0, 1, 3, 2, 4]",
-    "1043": "[0, 3, 6, 5, 1, 4, 2]",
-    "1044": "[1, 3, 6, 5, 2, 4, 0]",
-    "1045": "[2, 3, 6, 5, 0, 4, 1]",
-    "1046": "[3, 4, 1, 6, 2, 5, 0]",
-    "1047": "[4, 5, 2, 0, 3, 6, 1]",
-    "1048": "[5, 6, 3, 1, 4, 0, 2]",
-    "1049": "[6, 4, 2, 0, 3, 5, 1]",
-    "1050": "[0, 3, 1, 6, 5, 4, 2]",
-    "1051": "[1, 3, 2, 6, 5, 4, 0]",
-    "1052": "[2, 3, 0, 6, 5, 4, 1]",
-    "1053": "[3, 4, 2, 1, 6, 5, 0]",
-    "1054": "[4, 5, 3, 2, 0, 6, 1]",
-    "1055": "[5, 6, 4, 3, 1, 0, 2]",
-    "1056": "[6, 4, 3, 2, 0, 5, 1]",
-    "1057": "[0, 1, 2, 4, 3, 6, 5]",
-    "1058": "[1, 2, 0, 4, 3, 6, 5]",
-    "1059": "[2, 0, 1, 4, 3, 6, 5]",
-    "1060": "[3, 2, 0, 5, 4, 1, 6]",
-    "1061": "[4, 3, 1, 6, 5, 2, 0]",
-    "1062": "[5, 4, 2, 0, 6, 3, 1]",
-    "1063": "[6, 3, 1, 5, 4, 2, 0]",
-    "1064": "[0, 1, 3, 5, 4, 2, 6]",
-    "1065": "[1, 2, 3, 5, 4, 0, 6]",
-    "1066": "[2, 0, 3, 5, 4, 1, 6]",
-    "1067": "[3, 2, 4, 6, 5, 0, 1]",
-    "1068": "[4, 3, 5, 0, 6, 1, 2]",
-    "1069": "[5, 4, 6, 1, 0, 2, 3]",
-    "1070": "[6, 3, 4, 0, 5, 1, 2]",
-    "1071": "[0, 1, 4, 6, 5, 3, 2]",
-    "1072": "[1, 2, 4, 6, 5, 3, 0]",
-    "1073": "[2, 0, 4, 6, 5, 3, 1]",
-    "1074": "[3, 2, 5, 1, 6, 4, 0]",
-    "1075": "[4, 3, 6, 2, 0, 5, 1]",
-    "1076": "[5, 4, 0, 3, 1, 6, 2]",
-    "1077": "[6, 3, 5, 2, 0, 4, 1]",
-    "1078": "[0, 1, 5, 2, 6, 4, 3]",
-    "1079": "[1, 2, 5, 0, 6, 4, 3]",
-    "1080": "[2, 0, 5, 1, 6, 4, 3]",
-    "1081": "[3, 2, 6, 0, 1, 5, 4]",
-    "1082": "[4, 3, 0, 1, 2, 6, 5]",
-    "1083": "[5, 4, 1, 2, 3, 0, 6]",
-    "1084": "[6, 3, 0, 1, 2, 5, 4]",
-    "1085": "[0, 1, 6, 5, 4, 3, 2]",
-    "1086": "[1, 2, 6, 5, 4, 3, 0]",
-    "1087": "[2, 0, 6, 5, 4, 3, 1]",
-    "1088": "[3, 2, 1, 6, 5, 4, 0]",
-    "1089": "[4, 3, 2, 0, 6, 5, 1]",
-    "1090": "[5, 4, 3, 1, 0, 6, 2]",
-    "1091": "[6, 3, 2, 0, 5, 4, 1]",
-    "1092": "[0, 5, 1, 2, 6, 3, 4]",
-    "1093": "[1, 5, 2, 0, 6, 3, 4]",
-    "1094": "[2, 5, 0, 1, 6, 3, 4]",
-    "1095": "[3, 6, 2, 0, 1, 4, 5]",
-    "1096": "[4, 0, 3, 1, 2, 5, 6]",
-    "1097": "[5, 1, 4, 2, 3, 6, 0]",
-    "1098": "[6, 0, 3, 1, 2, 4, 5]",
-    "1099": "[0, 3, 2, 5, 4, 1, 6]",
-    "1100": "[1, 3, 0, 5, 4, 2, 6]",
-    "1101": "[2, 3, 1, 5, 4, 0, 6]",
-    "1102": "[3, 4, 0, 6, 5, 2, 1]",
-    "1103": "[4, 5, 1, 0, 6, 3, 2]",
-    "1104": "[5, 6, 2, 1, 0, 4, 3]",
-    "1105": "[6, 4, 1, 0, 5, 3, 2]",
-    "1106": "[0, 4, 3, 6, 5, 1, 2]",
-    "1107": "[1, 4, 3, 6, 5, 2, 0]",
-    "1108": "[2, 4, 3, 6, 5, 0, 1]",
-    "1109": "[3, 5, 4, 1, 6, 2, 0]",
-    "1110": "[4, 6, 5, 2, 0, 3, 1]",
-    "1111": "[5, 0, 6, 3, 1, 4, 2]",
-    "1112": "[6, 5, 4, 2, 0, 3, 1]",
-    "1113": "[0, 5, 4, 2, 6, 1, 3]",
-    "1114": "[1, 5, 4, 0, 6, 2, 3]",
-    "1115": "[2, 5, 4, 1, 6, 0, 3]",
-    "1116": "[3, 6, 5, 0, 1, 2, 4]",
-    "1117": "[4, 0, 6, 1, 2, 3, 5]",
-    "1118": "[5, 1, 0, 2, 3, 4, 6]",
-    "1119": "[6, 0, 5, 1, 2, 3, 4]",
-    "1120": "[0, 6, 5, 3, 2, 1, 4]",
-    "1121": "[1, 6, 5, 3, 0, 2, 4]",
-    "1122": "[2, 6, 5, 3, 1, 0, 4]",
-    "1123": "[3, 1, 6, 4, 0, 2, 5]",
-    "1124": "[4, 2, 0, 5, 1, 3, 6]",
-    "1125": "[5, 3, 1, 6, 2, 4, 0]",
-    "1126": "[6, 2, 0, 4, 1, 3, 5]",
-    "1127": "[0, 4, 6, 2, 5, 1, 3]",
-    "1128": "[1, 4, 6, 0, 5, 2, 3]",
-    "1129": "[2, 4, 6, 1, 5, 0, 3]",
-    "1130": "[3, 5, 1, 0, 6, 2, 4]",
-    "1131": "[4, 6, 2, 1, 0, 3, 5]",
-    "1132": "[5, 0, 3, 2, 1, 4, 6]",
-    "1133": "[6, 5, 2, 1, 0, 3, 4]",
-    "1134": "[0, 6, 1, 4, 2, 5, 3]",
-    "1135": "[1, 6, 2, 4, 0, 5, 3]",
-    "1136": "[2, 6, 0, 4, 1, 5, 3]",
-    "1137": "[3, 1, 2, 5, 0, 6, 4]",
-    "1138": "[4, 2, 3, 6, 1, 0, 5]",
-    "1139": "[5, 3, 4, 0, 2, 1, 6]",
-    "1140": "[6, 2, 3, 5, 1, 0, 4]",
-    "1141": "[0, 4, 2, 6, 5, 3, 1]",
-    "1142": "[1, 4, 0, 6, 5, 3, 2]",
-    "1143": "[2, 4, 1, 6, 5, 3, 0]",
-    "1144": "[3, 5, 0, 1, 6, 4, 2]",
-    "1145": "[4, 6, 1, 2, 0, 5, 3]",
-    "1146": "[5, 0, 2, 3, 1, 6, 4]",
-    "1147": "[6, 5, 1, 2, 0, 4, 3]",
-    "1148": "[0, 5, 3, 2, 6, 4, 1]",
-    "1149": "[1, 5, 3, 0, 6, 4, 2]",
-    "1150": "[2, 5, 3, 1, 6, 4, 0]",
-    "1151": "[3, 6, 4, 0, 1, 5, 2]",
-    "1152": "[4, 0, 5, 1, 2, 6, 3]",
-    "1153": "[5, 1, 6, 2, 3, 0, 4]",
-    "1154": "[6, 0, 4, 1, 2, 5, 3]",
-    "1155": "[0, 6, 4, 3, 2, 5, 1]",
-    "1156": "[1, 6, 4, 3, 0, 5, 2]",
-    "1157": "[2, 6, 4, 3, 1, 5, 0]",
-    "1158": "[3, 1, 5, 4, 0, 6, 2]",
-    "1159": "[4, 2, 6, 5, 1, 0, 3]",
-    "1160": "[5, 3, 0, 6, 2, 1, 4]",
-    "1161": "[6, 2, 5, 4, 1, 0, 3]",
-    "1162": "[0, 2, 5, 4, 3, 6, 1]",
-    "1163": "[1, 0, 5, 4, 3, 6, 2]",
-    "1164": "[2, 1, 5, 4, 3, 6, 0]",
-    "1165": "[3, 0, 6, 5, 4, 1, 2]",
-    "1166": "[4, 1, 0, 6, 5, 2, 3]",
-    "1167": "[5, 2, 1, 0, 6, 3, 4]",
-    "1168": "[6, 1, 0, 5, 4, 2, 3]",
-    "1169": "[0, 5, 6, 3, 2, 4, 1]",
-    "1170": "[1, 5, 6, 3, 0, 4, 2]",
-    "1171": "[2, 5, 6, 3, 1, 4, 0]",
-    "1172": "[3, 6, 1, 4, 0, 5, 2]",
-    "1173": "[4, 0, 2, 5, 1, 6, 3]",
-    "1174": "[5, 1, 3, 6, 2, 0, 4]",
-    "1175": "[6, 0, 2, 4, 1, 5, 3]",
-    "1176": "[0, 2, 1, 3, 4, 6, 5]",
-    "1177": "[1, 0, 2, 3, 4, 6, 5]",
-    "1178": "[2, 1, 0, 3, 4, 6, 5]",
-    "1179": "[3, 0, 2, 4, 5, 1, 6]",
-    "1180": "[4, 1, 3, 5, 6, 2, 0]",
-    "1181": "[5, 2, 4, 6, 0, 3, 1]",
-    "1182": "[6, 1, 3, 4, 5, 2, 0]",
-    "1183": "[0, 5, 2, 1, 6, 4, 3]",
-    "1184": "[1, 5, 0, 2, 6, 4, 3]",
-    "1185": "[2, 5, 1, 0, 6, 4, 3]",
-    "1186": "[3, 6, 0, 2, 1, 5, 4]",
-    "1187": "[4, 0, 1, 3, 2, 6, 5]",
-    "1188": "[5, 1, 2, 4, 3, 0, 6]",
-    "1189": "[6, 0, 1, 3, 2, 5, 4]",
-    "1190": "[0, 6, 3, 1, 2, 5, 4]",
-    "1191": "[1, 6, 3, 2, 0, 5, 4]",
-    "1192": "[2, 6, 3, 0, 1, 5, 4]",
-    "1193": "[3, 1, 4, 2, 0, 6, 5]",
-    "1194": "[4, 2, 5, 3, 1, 0, 6]",
-    "1195": "[5, 3, 6, 4, 2, 1, 0]",
-    "1196": "[6, 2, 4, 3, 1, 0, 5]",
-    "1197": "[0, 2, 4, 1, 3, 6, 5]",
-    "1198": "[1, 0, 4, 2, 3, 6, 5]",
-    "1199": "[2, 1, 4, 0, 3, 6, 5]",
-    "1200": "[3, 0, 5, 2, 4, 1, 6]",
-    "1201": "[4, 1, 6, 3, 5, 2, 0]",
-    "1202": "[5, 2, 0, 4, 6, 3, 1]",
-    "1203": "[6, 1, 5, 3, 4, 2, 0]",
-    "1204": "[0, 3, 5, 1, 4, 2, 6]",
-    "1205": "[1, 3, 5, 2, 4, 0, 6]",
-    "1206": "[2, 3, 5, 0, 4, 1, 6]",
-    "1207": "[3, 4, 6, 2, 5, 0, 1]",
-    "1208": "[4, 5, 0, 3, 6, 1, 2]",
-    "1209": "[5, 6, 1, 4, 0, 2, 3]",
-    "1210": "[6, 4, 0, 3, 5, 1, 2]",
-    "1211": "[0, 2, 6, 1, 3, 5, 4]",
-    "1212": "[1, 0, 6, 2, 3, 5, 4]",
-    "1213": "[2, 1, 6, 0, 3, 5, 4]",
-    "1214": "[3, 0, 1, 2, 4, 6, 5]",
-    "1215": "[4, 1, 2, 3, 5, 0, 6]",
-    "1216": "[5, 2, 3, 4, 6, 1, 0]",
-    "1217": "[6, 1, 2, 3, 4, 0, 5]",
-    "1218": "[0, 4, 1, 2, 6, 5, 3]",
-    "1219": "[1, 4, 2, 0, 6, 5, 3]",
-    "1220": "[2, 4, 0, 1, 6, 5, 3]",
-    "1221": "[3, 5, 2, 0, 1, 6, 4]",
-    "1222": "[4, 6, 3, 1, 2, 0, 5]",
-    "1223": "[5, 0, 4, 2, 3, 1, 6]",
-    "1224": "[6, 5, 3, 1, 2, 0, 4]",
-    "1225": "[0, 6, 2, 5, 4, 3, 1]",
-    "1226": "[1, 6, 0, 5, 4, 3, 2]",
-    "1227": "[2, 6, 1, 5, 4, 3, 0]",
-    "1228": "[3, 1, 0, 6, 5, 4, 2]",
-    "1229": "[4, 2, 1, 0, 6, 5, 3]",
-    "1230": "[5, 3, 2, 1, 0, 6, 4]",
-    "1231": "[6, 2, 1, 0, 5, 4, 3]",
-    "1232": "[0, 2, 3, 6, 5, 4, 1]",
-    "1233": "[1, 0, 3, 6, 5, 4, 2]",
-    "1234": "[2, 1, 3, 6, 5, 4, 0]",
-    "1235": "[3, 0, 4, 1, 6, 5, 2]",
-    "1236": "[4, 1, 5, 2, 0, 6, 3]",
-    "1237": "[5, 2, 6, 3, 1, 0, 4]",
-    "1238": "[6, 1, 4, 2, 0, 5, 3]",
-    "1239": "[0, 3, 4, 2, 6, 5, 1]",
-    "1240": "[1, 3, 4, 0, 6, 5, 2]",
-    "1241": "[2, 3, 4, 1, 6, 5, 0]",
-    "1242": "[3, 4, 5, 0, 1, 6, 2]",
-    "1243": "[4, 5, 6, 1, 2, 0, 3]",
-    "1244": "[5, 6, 0, 2, 3, 1, 4]",
-    "1245": "[6, 4, 5, 1, 2, 0, 3]",
-    "1246": "[0, 4, 5, 3, 2, 6, 1]",
-    "1247": "[1, 4, 5, 3, 0, 6, 2]",
-    "1248": "[2, 4, 5, 3, 1, 6, 0]",
-    "1249": "[3, 5, 6, 4, 0, 1, 2]",
-    "1250": "[4, 6, 0, 5, 1, 2, 3]",
-    "1251": "[5, 0, 1, 6, 2, 3, 4]",
-    "1252": "[6, 5, 0, 4, 1, 2, 3]",
-    "1253": "[0, 3, 6, 2, 5, 4, 1]",
-    "1254": "[1, 3, 6, 0, 5, 4, 2]",
-    "1255": "[2, 3, 6, 1, 5, 4, 0]",
-    "1256": "[3, 4, 1, 0, 6, 5, 2]",
-    "1257": "[4, 5, 2, 1, 0, 6, 3]",
-    "1258": "[5, 6, 3, 2, 1, 0, 4]",
-    "1259": "[6, 4, 2, 1, 0, 5, 3]",
-    "1260": "[0, 3, 1, 2, 6, 4, 5]",
-    "1261": "[1, 3, 2, 0, 6, 4, 5]",
-    "1262": "[2, 3, 0, 1, 6, 4, 5]",
-    "1263": "[3, 4, 2, 0, 1, 5, 6]",
-    "1264": "[4, 5, 3, 1, 2, 6, 0]",
-    "1265": "[5, 6, 4, 2, 3, 0, 1]",
-    "1266": "[6, 4, 3, 1, 2, 5, 0]",
-    "1267": "[0, 1, 2, 5, 4, 6, 3]",
-    "1268": "[1, 2, 0, 5, 4, 6, 3]",
-    "1269": "[2, 0, 1, 5, 4, 6, 3]",
-    "1270": "[3, 2, 0, 6, 5, 1, 4]",
-    "1271": "[4, 3, 1, 0, 6, 2, 5]",
-    "1272": "[5, 4, 2, 1, 0, 3, 6]",
-    "1273": "[6, 3, 1, 0, 5, 2, 4]",
-    "1274": "[0, 1, 3, 6, 5, 2, 4]",
-    "1275": "[1, 2, 3, 6, 5, 0, 4]",
-    "1276": "[2, 0, 3, 6, 5, 1, 4]",
-    "1277": "[3, 2, 4, 1, 6, 0, 5]",
-    "1278": "[4, 3, 5, 2, 0, 1, 6]",
-    "1279": "[5, 4, 6, 3, 1, 2, 0]",
-    "1280": "[6, 3, 4, 2, 0, 1, 5]",
-    "1281": "[0, 1, 4, 2, 6, 3, 5]",
-    "1282": "[1, 2, 4, 0, 6, 3, 5]",
-    "1283": "[2, 0, 4, 1, 6, 3, 5]",
-    "1284": "[3, 2, 5, 0, 1, 4, 6]",
-    "1285": "[4, 3, 6, 1, 2, 5, 0]",
-    "1286": "[5, 4, 0, 2, 3, 6, 1]",
-    "1287": "[6, 3, 5, 1, 2, 4, 0]",
-    "1288": "[0, 1, 5, 3, 2, 4, 6]",
-    "1289": "[1, 2, 5, 3, 0, 4, 6]",
-    "1290": "[2, 0, 5, 3, 1, 4, 6]",
-    "1291": "[3, 2, 6, 4, 0, 5, 1]",
-    "1292": "[4, 3, 0, 5, 1, 6, 2]",
-    "1293": "[5, 4, 1, 6, 2, 0, 3]",
-    "1294": "[6, 3, 0, 4, 1, 5, 2]",
-    "1295": "[0, 1, 6, 2, 5, 3, 4]",
-    "1296": "[1, 2, 6, 0, 5, 3, 4]",
-    "1297": "[2, 0, 6, 1, 5, 3, 4]",
-    "1298": "[3, 2, 1, 0, 6, 4, 5]",
-    "1299": "[4, 3, 2, 1, 0, 5, 6]",
-    "1300": "[5, 4, 3, 2, 1, 6, 0]",
-    "1301": "[6, 3, 2, 1, 0, 4, 5]",
-    "1302": "[0, 5, 1, 4, 2, 3, 6]",
-    "1303": "[1, 5, 2, 4, 0, 3, 6]",
-    "1304": "[2, 5, 0, 4, 1, 3, 6]",
-    "1305": "[3, 6, 2, 5, 0, 4, 1]",
-    "1306": "[4, 0, 3, 6, 1, 5, 2]",
-    "1307": "[5, 1, 4, 0, 2, 6, 3]",
-    "1308": "[6, 0, 3, 5, 1, 4, 2]",
-    "1309": "[0, 3, 2, 6, 5, 1, 4]",
-    "1310": "[1, 3, 0, 6, 5, 2, 4]",
-    "1311": "[2, 3, 1, 6, 5, 0, 4]",
-    "1312": "[3, 4, 0, 1, 6, 2, 5]",
-    "1313": "[4, 5, 1, 2, 0, 3, 6]",
-    "1314": "[5, 6, 2, 3, 1, 4, 0]",
-    "1315": "[6, 4, 1, 2, 0, 3, 5]",
-    "1316": "[0, 4, 3, 2, 6, 1, 5]",
-    "1317": "[1, 4, 3, 0, 6, 2, 5]",
-    "1318": "[2, 4, 3, 1, 6, 0, 5]",
-    "1319": "[3, 5, 4, 0, 1, 2, 6]",
-    "1320": "[4, 6, 5, 1, 2, 3, 0]",
-    "1321": "[5, 0, 6, 2, 3, 4, 1]",
-    "1322": "[6, 5, 4, 1, 2, 3, 0]",
-    "1323": "[0, 5, 4, 3, 2, 1, 6]",
-    "1324": "[1, 5, 4, 3, 0, 2, 6]",
-    "1325": "[2, 5, 4, 3, 1, 0, 6]",
-    "1326": "[3, 6, 5, 4, 0, 2, 1]",
-    "1327": "[4, 0, 6, 5, 1, 3, 2]",
-    "1328": "[5, 1, 0, 6, 2, 4, 3]",
-    "1329": "[6, 0, 5, 4, 1, 3, 2]",
-    "1330": "[0, 6, 5, 4, 3, 1, 2]",
-    "1331": "[1, 6, 5, 4, 3, 2, 0]",
-    "1332": "[2, 6, 5, 4, 3, 0, 1]",
-    "1333": "[3, 1, 6, 5, 4, 2, 0]",
-    "1334": "[4, 2, 0, 6, 5, 3, 1]",
-    "1335": "[5, 3, 1, 0, 6, 4, 2]",
-    "1336": "[6, 2, 0, 5, 4, 3, 1]",
-    "1337": "[0, 4, 6, 3, 2, 1, 5]",
-    "1338": "[1, 4, 6, 3, 0, 2, 5]",
-    "1339": "[2, 4, 6, 3, 1, 0, 5]",
-    "1340": "[3, 5, 1, 4, 0, 2, 6]",
-    "1341": "[4, 6, 2, 5, 1, 3, 0]",
-    "1342": "[5, 0, 3, 6, 2, 4, 1]",
-    "1343": "[6, 5, 2, 4, 1, 3, 0]",
-    "1344": "[0, 6, 1, 3, 4, 5, 2]",
-    "1345": "[1, 6, 2, 3, 4, 5, 0]",
-    "1346": "[2, 6, 0, 3, 4, 5, 1]",
-    "1347": "[3, 1, 2, 4, 5, 6, 0]",
-    "1348": "[4, 2, 3, 5, 6, 0, 1]",
-    "1349": "[5, 3, 4, 6, 0, 1, 2]",
-    "1350": "[6, 2, 3, 4, 5, 0, 1]",
-    "1351": "[0, 4, 2, 1, 6, 3, 5]",
-    "1352": "[1, 4, 0, 2, 6, 3, 5]",
-    "1353": "[2, 4, 1, 0, 6, 3, 5]",
-    "1354": "[3, 5, 0, 2, 1, 4, 6]",
-    "1355": "[4, 6, 1, 3, 2, 5, 0]",
-    "1356": "[5, 0, 2, 4, 3, 6, 1]",
-    "1357": "[6, 5, 1, 3, 2, 4, 0]",
-    "1358": "[0, 5, 3, 1, 2, 4, 6]",
-    "1359": "[1, 5, 3, 2, 0, 4, 6]",
-    "1360": "[2, 5, 3, 0, 1, 4, 6]",
-    "1361": "[3, 6, 4, 2, 0, 5, 1]",
-    "1362": "[4, 0, 5, 3, 1, 6, 2]",
-    "1363": "[5, 1, 6, 4, 2, 0, 3]",
-    "1364": "[6, 0, 4, 3, 1, 5, 2]",
-    "1365": "[0, 6, 4, 1, 3, 5, 2]",
-    "1366": "[1, 6, 4, 2, 3, 5, 0]",
-    "1367": "[2, 6, 4, 0, 3, 5, 1]",
-    "1368": "[3, 1, 5, 2, 4, 6, 0]",
-    "1369": "[4, 2, 6, 3, 5, 0, 1]",
-    "1370": "[5, 3, 0, 4, 6, 1, 2]",
-    "1371": "[6, 2, 5, 3, 4, 0, 1]",
-    "1372": "[0, 2, 5, 1, 4, 6, 3]",
-    "1373": "[1, 0, 5, 2, 4, 6, 3]",
-    "1374": "[2, 1, 5, 0, 4, 6, 3]",
-    "1375": "[3, 0, 6, 2, 5, 1, 4]",
-    "1376": "[4, 1, 0, 3, 6, 2, 5]",
-    "1377": "[5, 2, 1, 4, 0, 3, 6]",
-    "1378": "[6, 1, 0, 3, 5, 2, 4]",
-    "1379": "[0, 5, 6, 1, 3, 4, 2]",
-    "1380": "[1, 5, 6, 2, 3, 4, 0]",
-    "1381": "[2, 5, 6, 0, 3, 4, 1]",
-    "1382": "[3, 6, 1, 2, 4, 5, 0]",
-    "1383": "[4, 0, 2, 3, 5, 6, 1]",
-    "1384": "[5, 1, 3, 4, 6, 0, 2]",
-    "1385": "[6, 0, 2, 3, 4, 5, 1]",
-    "1386": "[0, 2, 1, 5, 3, 6, 4]",
-    "1387": "[1, 0, 2, 5, 3, 6, 4]",
-    "1388": "[2, 1, 0, 5, 3, 6, 4]",
-    "1389": "[3, 0, 2, 6, 4, 1, 5]",
-    "1390": "[4, 1, 3, 0, 5, 2, 6]",
-    "1391": "[5, 2, 4, 1, 6, 3, 0]",
-    "1392": "[6, 1, 3, 0, 4, 2, 5]",
-    "1393": "[0, 5, 2, 3, 1, 4, 6]",
-    "1394": "[1, 5, 0, 3, 2, 4, 6]",
-    "1395": "[2, 5, 1, 3, 0, 4, 6]",
-    "1396": "[3, 6, 0, 4, 2, 5, 1]",
-    "1397": "[4, 0, 1, 5, 3, 6, 2]",
-    "1398": "[5, 1, 2, 6, 4, 0, 3]",
-    "1399": "[6, 0, 1, 4, 3, 5, 2]",
-    "1400": "[0, 6, 3, 4, 1, 5, 2]",
-    "1401": "[1, 6, 3, 4, 2, 5, 0]",
-    "1402": "[2, 6, 3, 4, 0, 5, 1]",
-    "1403": "[3, 1, 4, 5, 2, 6, 0]",
-    "1404": "[4, 2, 5, 6, 3, 0, 1]",
-    "1405": "[5, 3, 6, 0, 4, 1, 2]",
-    "1406": "[6, 2, 4, 5, 3, 0, 1]",
-    "1407": "[0, 2, 4, 5, 1, 6, 3]",
-    "1408": "[1, 0, 4, 5, 2, 6, 3]",
-    "1409": "[2, 1, 4, 5, 0, 6, 3]",
-    "1410": "[3, 0, 5, 6, 2, 1, 4]",
-    "1411": "[4, 1, 6, 0, 3, 2, 5]",
-    "1412": "[5, 2, 0, 1, 4, 3, 6]",
-    "1413": "[6, 1, 5, 0, 3, 2, 4]",
-    "1414": "[0, 3, 5, 6, 1, 2, 4]",
-    "1415": "[1, 3, 5, 6, 2, 0, 4]",
-    "1416": "[2, 3, 5, 6, 0, 1, 4]",
-    "1417": "[3, 4, 6, 1, 2, 0, 5]",
-    "1418": "[4, 5, 0, 2, 3, 1, 6]",
-    "1419": "[5, 6, 1, 3, 4, 2, 0]",
-    "1420": "[6, 4, 0, 2, 3, 1, 5]",
-    "1421": "[0, 2, 6, 4, 1, 5, 3]",
-    "1422": "[1, 0, 6, 4, 2, 5, 3]",
-    "1423": "[2, 1, 6, 4, 0, 5, 3]",
-    "1424": "[3, 0, 1, 5, 2, 6, 4]",
-    "1425": "[4, 1, 2, 6, 3, 0, 5]",
-    "1426": "[5, 2, 3, 0, 4, 1, 6]",
-    "1427": "[6, 1, 2, 5, 3, 0, 4]",
-    "1428": "[0, 4, 1, 3, 2, 5, 6]",
-    "1429": "[1, 4, 2, 3, 0, 5, 6]",
-    "1430": "[2, 4, 0, 3, 1, 5, 6]",
-    "1431": "[3, 5, 2, 4, 0, 6, 1]",
-    "1432": "[4, 6, 3, 5, 1, 0, 2]",
-    "1433": "[5, 0, 4, 6, 2, 1, 3]",
-    "1434": "[6, 5, 3, 4, 1, 0, 2]",
-    "1435": "[0, 6, 2, 1, 5, 3, 4]",
-    "1436": "[1, 6, 0, 2, 5, 3, 4]",
-    "1437": "[2, 6, 1, 0, 5, 3, 4]",
-    "1438": "[3, 1, 0, 2, 6, 4, 5]",
-    "1439": "[4, 2, 1, 3, 0, 5, 6]",
-    "1440": "[5, 3, 2, 4, 1, 6, 0]",
-    "1441": "[6, 2, 1, 3, 0, 4, 5]",
-    "1442": "[0, 2, 3, 1, 6, 4, 5]",
-    "1443": "[1, 0, 3, 2, 6, 4, 5]",
-    "1444": "[2, 1, 3, 0, 6, 4, 5]",
-    "1445": "[3, 0, 4, 2, 1, 5, 6]",
-    "1446": "[4, 1, 5, 3, 2, 6, 0]",
-    "1447": "[5, 2, 6, 4, 3, 0, 1]",
-    "1448": "[6, 1, 4, 3, 2, 5, 0]",
-    "1449": "[0, 3, 4, 1, 2, 5, 6]",
-    "1450": "[1, 3, 4, 2, 0, 5, 6]",
-    "1451": "[2, 3, 4, 0, 1, 5, 6]",
-    "1452": "[3, 4, 5, 2, 0, 6, 1]",
-    "1453": "[4, 5, 6, 3, 1, 0, 2]",
-    "1454": "[5, 6, 0, 4, 2, 1, 3]",
-    "1455": "[6, 4, 5, 3, 1, 0, 2]",
-    "1456": "[0, 4, 5, 1, 3, 6, 2]",
-    "1457": "[1, 4, 5, 2, 3, 6, 0]",
-    "1458": "[2, 4, 5, 0, 3, 6, 1]",
-    "1459": "[3, 5, 6, 2, 4, 1, 0]",
-    "1460": "[4, 6, 0, 3, 5, 2, 1]",
-    "1461": "[5, 0, 1, 4, 6, 3, 2]",
-    "1462": "[6, 5, 0, 3, 4, 2, 1]",
-    "1463": "[0, 3, 6, 1, 2, 4, 5]",
-    "1464": "[1, 3, 6, 2, 0, 4, 5]",
-    "1465": "[2, 3, 6, 0, 1, 4, 5]",
-    "1466": "[3, 4, 1, 2, 0, 5, 6]",
-    "1467": "[4, 5, 2, 3, 1, 6, 0]",
-    "1468": "[5, 6, 3, 4, 2, 0, 1]",
-    "1469": "[6, 4, 2, 3, 1, 5, 0]",
-    "1470": "[0, 3, 1, 4, 5, 2, 6]",
-    "1471": "[1, 3, 2, 4, 5, 0, 6]",
-    "1472": "[2, 3, 0, 4, 5, 1, 6]",
-    "1473": "[3, 4, 2, 5, 6, 0, 1]",
-    "1474": "[4, 5, 3, 6, 0, 1, 2]",
-    "1475": "[5, 6, 4, 0, 1, 2, 3]",
-    "1476": "[6, 4, 3, 5, 0, 1, 2]",
-    "1477": "[0, 1, 2, 6, 3, 5, 4]",
-    "1478": "[1, 2, 0, 6, 3, 5, 4]",
-    "1479": "[2, 0, 1, 6, 3, 5, 4]",
-    "1480": "[3, 2, 0, 1, 4, 6, 5]",
-    "1481": "[4, 3, 1, 2, 5, 0, 6]",
-    "1482": "[5, 4, 2, 3, 6, 1, 0]",
-    "1483": "[6, 3, 1, 2, 4, 0, 5]",
-    "1484": "[0, 1, 3, 2, 4, 6, 5]",
-    "1485": "[1, 2, 3, 0, 4, 6, 5]",
-    "1486": "[2, 0, 3, 1, 4, 6, 5]",
-    "1487": "[3, 2, 4, 0, 5, 1, 6]",
-    "1488": "[4, 3, 5, 1, 6, 2, 0]",
-    "1489": "[5, 4, 6, 2, 0, 3, 1]",
-    "1490": "[6, 3, 4, 1, 5, 2, 0]",
-    "1491": "[0, 1, 4, 3, 5, 2, 6]",
-    "1492": "[1, 2, 4, 3, 5, 0, 6]",
-    "1493": "[2, 0, 4, 3, 5, 1, 6]",
-    "1494": "[3, 2, 5, 4, 6, 0, 1]",
-    "1495": "[4, 3, 6, 5, 0, 1, 2]",
-    "1496": "[5, 4, 0, 6, 1, 2, 3]",
-    "1497": "[6, 3, 5, 4, 0, 1, 2]",
-    "1498": "[0, 1, 5, 4, 6, 3, 2]",
-    "1499": "[1, 2, 5, 4, 6, 3, 0]",
-    "1500": "[2, 0, 5, 4, 6, 3, 1]",
-    "1501": "[3, 2, 6, 5, 1, 4, 0]",
-    "1502": "[4, 3, 0, 6, 2, 5, 1]",
-    "1503": "[5, 4, 1, 0, 3, 6, 2]",
-    "1504": "[6, 3, 0, 5, 2, 4, 1]",
-    "1505": "[0, 1, 6, 3, 4, 2, 5]",
-    "1506": "[1, 2, 6, 3, 4, 0, 5]",
-    "1507": "[2, 0, 6, 3, 4, 1, 5]",
-    "1508": "[3, 2, 1, 4, 5, 0, 6]",
-    "1509": "[4, 3, 2, 5, 6, 1, 0]",
-    "1510": "[5, 4, 3, 6, 0, 2, 1]",
-    "1511": "[6, 3, 2, 4, 5, 1, 0]",
-    "1512": "[0, 5, 1, 3, 6, 4, 2]",
-    "1513": "[1, 5, 2, 3, 6, 4, 0]",
-    "1514": "[2, 5, 0, 3, 6, 4, 1]",
-    "1515": "[3, 6, 2, 4, 1, 5, 0]",
-    "1516": "[4, 0, 3, 5, 2, 6, 1]",
-    "1517": "[5, 1, 4, 6, 3, 0, 2]",
-    "1518": "[6, 0, 3, 4, 2, 5, 1]",
-    "1519": "[0, 3, 2, 1, 4, 6, 5]",
-    "1520": "[1, 3, 0, 2, 4, 6, 5]",
-    "1521": "[2, 3, 1, 0, 4, 6, 5]",
-    "1522": "[3, 4, 0, 2, 5, 1, 6]",
-    "1523": "[4, 5, 1, 3, 6, 2, 0]",
-    "1524": "[5, 6, 2, 4, 0, 3, 1]",
-    "1525": "[6, 4, 1, 3, 5, 2, 0]",
-    "1526": "[0, 4, 3, 1, 5, 2, 6]",
-    "1527": "[1, 4, 3, 2, 5, 0, 6]",
-    "1528": "[2, 4, 3, 0, 5, 1, 6]",
-    "1529": "[3, 5, 4, 2, 6, 0, 1]",
-    "1530": "[4, 6, 5, 3, 0, 1, 2]",
-    "1531": "[5, 0, 6, 4, 1, 2, 3]",
-    "1532": "[6, 5, 4, 3, 0, 1, 2]",
-    "1533": "[0, 5, 4, 1, 6, 3, 2]",
-    "1534": "[1, 5, 4, 2, 6, 3, 0]",
-    "1535": "[2, 5, 4, 0, 6, 3, 1]",
-    "1536": "[3, 6, 5, 2, 1, 4, 0]",
-    "1537": "[4, 0, 6, 3, 2, 5, 1]",
-    "1538": "[5, 1, 0, 4, 3, 6, 2]",
-    "1539": "[6, 0, 5, 3, 2, 4, 1]",
-    "1540": "[0, 6, 5, 1, 2, 4, 3]",
-    "1541": "[1, 6, 5, 2, 0, 4, 3]",
-    "1542": "[2, 6, 5, 0, 1, 4, 3]",
-    "1543": "[3, 1, 6, 2, 0, 5, 4]",
-    "1544": "[4, 2, 0, 3, 1, 6, 5]",
-    "1545": "[5, 3, 1, 4, 2, 0, 6]",
-    "1546": "[6, 2, 0, 3, 1, 5, 4]",
-    "1547": "[0, 4, 6, 1, 5, 3, 2]",
-    "1548": "[1, 4, 6, 2, 5, 3, 0]",
-    "1549": "[2, 4, 6, 0, 5, 3, 1]",
-    "1550": "[3, 5, 1, 2, 6, 4, 0]",
-    "1551": "[4, 6, 2, 3, 0, 5, 1]",
-    "1552": "[5, 0, 3, 4, 1, 6, 2]",
-    "1553": "[6, 5, 2, 3, 0, 4, 1]",
-    "1554": "[0, 6, 1, 5, 2, 3, 4]",
-    "1555": "[1, 6, 2, 5, 0, 3, 4]",
-    "1556": "[2, 6, 0, 5, 1, 3, 4]",
-    "1557": "[3, 1, 2, 6, 0, 4, 5]",
-    "1558": "[4, 2, 3, 0, 1, 5, 6]",
-    "1559": "[5, 3, 4, 1, 2, 6, 0]",
-    "1560": "[6, 2, 3, 0, 1, 4, 5]",
-    "1561": "[0, 4, 2, 3, 5, 1, 6]",
-    "1562": "[1, 4, 0, 3, 5, 2, 6]",
-    "1563": "[2, 4, 1, 3, 5, 0, 6]",
-    "1564": "[3, 5, 0, 4, 6, 2, 1]",
-    "1565": "[4, 6, 1, 5, 0, 3, 2]",
-    "1566": "[5, 0, 2, 6, 1, 4, 3]",
-    "1567": "[6, 5, 1, 4, 0, 3, 2]",
-    "1568": "[0, 5, 3, 4, 6, 1, 2]",
-    "1569": "[1, 5, 3, 4, 6, 2, 0]",
-    "1570": "[2, 5, 3, 4, 6, 0, 1]",
-    "1571": "[3, 6, 4, 5, 1, 2, 0]",
-    "1572": "[4, 0, 5, 6, 2, 3, 1]",
-    "1573": "[5, 1, 6, 0, 3, 4, 2]",
-    "1574": "[6, 0, 4, 5, 2, 3, 1]",
-    "1575": "[0, 6, 4, 5, 2, 1, 3]",
-    "1576": "[1, 6, 4, 5, 0, 2, 3]",
-    "1577": "[2, 6, 4, 5, 1, 0, 3]",
-    "1578": "[3, 1, 5, 6, 0, 2, 4]",
-    "1579": "[4, 2, 6, 0, 1, 3, 5]",
-    "1580": "[5, 3, 0, 1, 2, 4, 6]",
-    "1581": "[6, 2, 5, 0, 1, 3, 4]",
-    "1582": "[0, 2, 5, 6, 3, 1, 4]",
-    "1583": "[1, 0, 5, 6, 3, 2, 4]",
-    "1584": "[2, 1, 5, 6, 3, 0, 4]",
-    "1585": "[3, 0, 6, 1, 4, 2, 5]",
-    "1586": "[4, 1, 0, 2, 5, 3, 6]",
-    "1587": "[5, 2, 1, 3, 6, 4, 0]",
-    "1588": "[6, 1, 0, 2, 4, 3, 5]",
-    "1589": "[0, 5, 6, 4, 2, 1, 3]",
-    "1590": "[1, 5, 6, 4, 0, 2, 3]",
-    "1591": "[2, 5, 6, 4, 1, 0, 3]",
-    "1592": "[3, 6, 1, 5, 0, 2, 4]",
-    "1593": "[4, 0, 2, 6, 1, 3, 5]",
-    "1594": "[5, 1, 3, 0, 2, 4, 6]",
-    "1595": "[6, 0, 2, 5, 1, 3, 4]",
-    "1596": "[0, 2, 1, 6, 4, 5, 3]",
-    "1597": "[1, 0, 2, 6, 4, 5, 3]",
-    "1598": "[2, 1, 0, 6, 4, 5, 3]",
-    "1599": "[3, 0, 2, 1, 5, 6, 4]",
-    "1600": "[4, 1, 3, 2, 6, 0, 5]",
-    "1601": "[5, 2, 4, 3, 0, 1, 6]",
-    "1602": "[6, 1, 3, 2, 5, 0, 4]",
-    "1603": "[0, 5, 2, 4, 6, 3, 1]",
-    "1604": "[1, 5, 0, 4, 6, 3, 2]",
-    "1605": "[2, 5, 1, 4, 6, 3, 0]",
-    "1606": "[3, 6, 0, 5, 1, 4, 2]",
-    "1607": "[4, 0, 1, 6, 2, 5, 3]",
-    "1608": "[5, 1, 2, 0, 3, 6, 4]",
-    "1609": "[6, 0, 1, 5, 2, 4, 3]",
-    "1610": "[0, 6, 3, 5, 2, 4, 1]",
-    "1611": "[1, 6, 3, 5, 0, 4, 2]",
-    "1612": "[2, 6, 3, 5, 1, 4, 0]",
-    "1613": "[3, 1, 4, 6, 0, 5, 2]",
-    "1614": "[4, 2, 5, 0, 1, 6, 3]",
-    "1615": "[5, 3, 6, 1, 2, 0, 4]",
-    "1616": "[6, 2, 4, 0, 1, 5, 3]",
-    "1617": "[0, 2, 4, 6, 3, 5, 1]",
-    "1618": "[1, 0, 4, 6, 3, 5, 2]",
-    "1619": "[2, 1, 4, 6, 3, 5, 0]",
-    "1620": "[3, 0, 5, 1, 4, 6, 2]",
-    "1621": "[4, 1, 6, 2, 5, 0, 3]",
-    "1622": "[5, 2, 0, 3, 6, 1, 4]",
-    "1623": "[6, 1, 5, 2, 4, 0, 3]",
-    "1624": "[0, 3, 5, 2, 4, 6, 1]",
-    "1625": "[1, 3, 5, 0, 4, 6, 2]",
-    "1626": "[2, 3, 5, 1, 4, 6, 0]",
-    "1627": "[3, 4, 6, 0, 5, 1, 2]",
-    "1628": "[4, 5, 0, 1, 6, 2, 3]",
-    "1629": "[5, 6, 1, 2, 0, 3, 4]",
-    "1630": "[6, 4, 0, 1, 5, 2, 3]",
-    "1631": "[0, 2, 6, 5, 3, 4, 1]",
-    "1632": "[1, 0, 6, 5, 3, 4, 2]",
-    "1633": "[2, 1, 6, 5, 3, 4, 0]",
-    "1634": "[3, 0, 1, 6, 4, 5, 2]",
-    "1635": "[4, 1, 2, 0, 5, 6, 3]",
-    "1636": "[5, 2, 3, 1, 6, 0, 4]",
-    "1637": "[6, 1, 2, 0, 4, 5, 3]",
-    "1638": "[0, 4, 1, 5, 6, 3, 2]",
-    "1639": "[1, 4, 2, 5, 6, 3, 0]",
-    "1640": "[2, 4, 0, 5, 6, 3, 1]",
-    "1641": "[3, 5, 2, 6, 1, 4, 0]",
-    "1642": "[4, 6, 3, 0, 2, 5, 1]",
-    "1643": "[5, 0, 4, 1, 3, 6, 2]",
-    "1644": "[6, 5, 3, 0, 2, 4, 1]",
-    "1645": "[0, 6, 2, 3, 4, 1, 5]",
-    "1646": "[1, 6, 0, 3, 4, 2, 5]",
-    "1647": "[2, 6, 1, 3, 4, 0, 5]",
-    "1648": "[3, 1, 0, 4, 5, 2, 6]",
-    "1649": "[4, 2, 1, 5, 6, 3, 0]",
-    "1650": "[5, 3, 2, 6, 0, 4, 1]",
-    "1651": "[6, 2, 1, 4, 5, 3, 0]",
-    "1652": "[0, 2, 3, 4, 5, 1, 6]",
-    "1653": "[1, 0, 3, 4, 5, 2, 6]",
-    "1654": "[2, 1, 3, 4, 5, 0, 6]",
-    "1655": "[3, 0, 4, 5, 6, 2, 1]",
-    "1656": "[4, 1, 5, 6, 0, 3, 2]",
-    "1657": "[5, 2, 6, 0, 1, 4, 3]",
-    "1658": "[6, 1, 4, 5, 0, 3, 2]",
-    "1659": "[0, 3, 4, 5, 6, 1, 2]",
-    "1660": "[1, 3, 4, 5, 6, 2, 0]",
-    "1661": "[2, 3, 4, 5, 6, 0, 1]",
-    "1662": "[3, 4, 5, 6, 1, 2, 0]",
-    "1663": "[4, 5, 6, 0, 2, 3, 1]",
-    "1664": "[5, 6, 0, 1, 3, 4, 2]",
-    "1665": "[6, 4, 5, 0, 2, 3, 1]",
-    "1666": "[0, 4, 5, 6, 2, 1, 3]",
-    "1667": "[1, 4, 5, 6, 0, 2, 3]",
-    "1668": "[2, 4, 5, 6, 1, 0, 3]",
-    "1669": "[3, 5, 6, 1, 0, 2, 4]",
-    "1670": "[4, 6, 0, 2, 1, 3, 5]",
-    "1671": "[5, 0, 1, 3, 2, 4, 6]",
-    "1672": "[6, 5, 0, 2, 1, 3, 4]",
-    "1673": "[0, 3, 6, 4, 5, 1, 2]",
-    "1674": "[1, 3, 6, 4, 5, 2, 0]",
-    "1675": "[2, 3, 6, 4, 5, 0, 1]",
-    "1676": "[3, 4, 1, 5, 6, 2, 0]",
-    "1677": "[4, 5, 2, 6, 0, 3, 1]",
-    "1678": "[5, 6, 3, 0, 1, 4, 2]",
-    "1679": "[6, 4, 2, 5, 0, 3, 1]",
-    "1680": "[0, 3, 1, 5, 4, 6, 2]",
-    "1681": "[1, 3, 2, 5, 4, 6, 0]",
-    "1682": "[2, 3, 0, 5, 4, 6, 1]",
-    "1683": "[3, 4, 2, 6, 5, 1, 0]",
-    "1684": "[4, 5, 3, 0, 6, 2, 1]",
-    "1685": "[5, 6, 4, 1, 0, 3, 2]",
-    "1686": "[6, 4, 3, 0, 5, 2, 1]",
-    "1687": "[0, 1, 2, 3, 6, 4, 5]",
-    "1688": "[1, 2, 0, 3, 6, 4, 5]",
-    "1689": "[2, 0, 1, 3, 6, 4, 5]",
-    "1690": "[3, 2, 0, 4, 1, 5, 6]",
-    "1691": "[4, 3, 1, 5, 2, 6, 0]",
-    "1692": "[5, 4, 2, 6, 3, 0, 1]",
-    "1693": "[6, 3, 1, 4, 2, 5, 0]",
-    "1694": "[0, 1, 3, 4, 2, 5, 6]",
-    "1695": "[1, 2, 3, 4, 0, 5, 6]",
-    "1696": "[2, 0, 3, 4, 1, 5, 6]",
-    "1697": "[3, 2, 4, 5, 0, 6, 1]",
-    "1698": "[4, 3, 5, 6, 1, 0, 2]",
-    "1699": "[5, 4, 6, 0, 2, 1, 3]",
-    "1700": "[6, 3, 4, 5, 1, 0, 2]",
-    "1701": "[0, 1, 4, 5, 3, 6, 2]",
-    "1702": "[1, 2, 4, 5, 3, 6, 0]",
-    "1703": "[2, 0, 4, 5, 3, 6, 1]",
-    "1704": "[3, 2, 5, 6, 4, 1, 0]",
-    "1705": "[4, 3, 6, 0, 5, 2, 1]",
-    "1706": "[5, 4, 0, 1, 6, 3, 2]",
-    "1707": "[6, 3, 5, 0, 4, 2, 1]",
-    "1708": "[0, 1, 5, 6, 4, 2, 3]",
-    "1709": "[1, 2, 5, 6, 4, 0, 3]",
-    "1710": "[2, 0, 5, 6, 4, 1, 3]",
-    "1711": "[3, 2, 6, 1, 5, 0, 4]",
-    "1712": "[4, 3, 0, 2, 6, 1, 5]",
-    "1713": "[5, 4, 1, 3, 0, 2, 6]",
-    "1714": "[6, 3, 0, 2, 5, 1, 4]",
-    "1715": "[0, 1, 6, 4, 3, 5, 2]",
-    "1716": "[1, 2, 6, 4, 3, 5, 0]",
-    "1717": "[2, 0, 6, 4, 3, 5, 1]",
-    "1718": "[3, 2, 1, 5, 4, 6, 0]",
-    "1719": "[4, 3, 2, 6, 5, 0, 1]",
-    "1720": "[5, 4, 3, 0, 6, 1, 2]",
-    "1721": "[6, 3, 2, 5, 4, 0, 1]",
-    "1722": "[0, 5, 1, 6, 3, 2, 4]",
-    "1723": "[1, 5, 2, 6, 3, 0, 4]",
-    "1724": "[2, 5, 0, 6, 3, 1, 4]",
-    "1725": "[3, 6, 2, 1, 4, 0, 5]",
-    "1726": "[4, 0, 3, 2, 5, 1, 6]",
-    "1727": "[5, 1, 4, 3, 6, 2, 0]",
-    "1728": "[6, 0, 3, 2, 4, 1, 5]",
-    "1729": "[0, 3, 2, 4, 1, 5, 6]",
-    "1730": "[1, 3, 0, 4, 2, 5, 6]",
-    "1731": "[2, 3, 1, 4, 0, 5, 6]",
-    "1732": "[3, 4, 0, 5, 2, 6, 1]",
-    "1733": "[4, 5, 1, 6, 3, 0, 2]",
-    "1734": "[5, 6, 2, 0, 4, 1, 3]",
-    "1735": "[6, 4, 1, 5, 3, 0, 2]",
-    "1736": "[0, 4, 3, 5, 1, 6, 2]",
-    "1737": "[1, 4, 3, 5, 2, 6, 0]",
-    "1738": "[2, 4, 3, 5, 0, 6, 1]",
-    "1739": "[3, 5, 4, 6, 2, 1, 0]",
-    "1740": "[4, 6, 5, 0, 3, 2, 1]",
-    "1741": "[5, 0, 6, 1, 4, 3, 2]",
-    "1742": "[6, 5, 4, 0, 3, 2, 1]",
-    "1743": "[0, 5, 4, 6, 1, 2, 3]",
-    "1744": "[1, 5, 4, 6, 2, 0, 3]",
-    "1745": "[2, 5, 4, 6, 0, 1, 3]",
-    "1746": "[3, 6, 5, 1, 2, 0, 4]",
-    "1747": "[4, 0, 6, 2, 3, 1, 5]",
-    "1748": "[5, 1, 0, 3, 4, 2, 6]",
-    "1749": "[6, 0, 5, 2, 3, 1, 4]",
-    "1750": "[0, 6, 5, 2, 1, 3, 4]",
-    "1751": "[1, 6, 5, 0, 2, 3, 4]",
-    "1752": "[2, 6, 5, 1, 0, 3, 4]",
-    "1753": "[3, 1, 6, 0, 2, 4, 5]",
-    "1754": "[4, 2, 0, 1, 3, 5, 6]",
-    "1755": "[5, 3, 1, 2, 4, 6, 0]",
-    "1756": "[6, 2, 0, 1, 3, 4, 5]",
-    "1757": "[0, 4, 6, 5, 1, 2, 3]",
-    "1758": "[1, 4, 6, 5, 2, 0, 3]",
-    "1759": "[2, 4, 6, 5, 0, 1, 3]",
-    "1760": "[3, 5, 1, 6, 2, 0, 4]",
-    "1761": "[4, 6, 2, 0, 3, 1, 5]",
-    "1762": "[5, 0, 3, 1, 4, 2, 6]",
-    "1763": "[6, 5, 2, 0, 3, 1, 4]",
-    "1764": "[0, 6, 1, 2, 5, 4, 3]",
-    "1765": "[1, 6, 2, 0, 5, 4, 3]",
-    "1766": "[2, 6, 0, 1, 5, 4, 3]",
-    "1767": "[3, 1, 2, 0, 6, 5, 4]",
-    "1768": "[4, 2, 3, 1, 0, 6, 5]",
-    "1769": "[5, 3, 4, 2, 1, 0, 6]",
-    "1770": "[6, 2, 3, 1, 0, 5, 4]",
-    "1771": "[0, 4, 2, 5, 3, 6, 1]",
-    "1772": "[1, 4, 0, 5, 3, 6, 2]",
-    "1773": "[2, 4, 1, 5, 3, 6, 0]",
-    "1774": "[3, 5, 0, 6, 4, 1, 2]",
-    "1775": "[4, 6, 1, 0, 5, 2, 3]",
-    "1776": "[5, 0, 2, 1, 6, 3, 4]",
-    "1777": "[6, 5, 1, 0, 4, 2, 3]",
-    "1778": "[0, 5, 3, 6, 4, 2, 1]",
-    "1779": "[1, 5, 3, 6, 4, 0, 2]",
-    "1780": "[2, 5, 3, 6, 4, 1, 0]",
-    "1781": "[3, 6, 4, 1, 5, 0, 2]",
-    "1782": "[4, 0, 5, 2, 6, 1, 3]",
-    "1783": "[5, 1, 6, 3, 0, 2, 4]",
-    "1784": "[6, 0, 4, 2, 5, 1, 3]",
-    "1785": "[0, 6, 4, 2, 5, 3, 1]",
-    "1786": "[1, 6, 4, 0, 5, 3, 2]",
-    "1787": "[2, 6, 4, 1, 5, 3, 0]",
-    "1788": "[3, 1, 5, 0, 6, 4, 2]",
-    "1789": "[4, 2, 6, 1, 0, 5, 3]",
-    "1790": "[5, 3, 0, 2, 1, 6, 4]",
-    "1791": "[6, 2, 5, 1, 0, 4, 3]",
-    "1792": "[0, 2, 5, 3, 6, 4, 1]",
-    "1793": "[1, 0, 5, 3, 6, 4, 2]",
-    "1794": "[2, 1, 5, 3, 6, 4, 0]",
-    "1795": "[3, 0, 6, 4, 1, 5, 2]",
-    "1796": "[4, 1, 0, 5, 2, 6, 3]",
-    "1797": "[5, 2, 1, 6, 3, 0, 4]",
-    "1798": "[6, 1, 0, 4, 2, 5, 3]",
-    "1799": "[0, 5, 6, 2, 4, 3, 1]",
-    "1800": "[1, 5, 6, 0, 4, 3, 2]",
-    "1801": "[2, 5, 6, 1, 4, 3, 0]",
-    "1802": "[3, 6, 1, 0, 5, 4, 2]",
-    "1803": "[4, 0, 2, 1, 6, 5, 3]",
-    "1804": "[5, 1, 3, 2, 0, 6, 4]",
-    "1805": "[6, 0, 2, 1, 5, 4, 3]",
-    "1806": "[0, 2, 1, 4, 6, 3, 5]",
-    "1807": "[1, 0, 2, 4, 6, 3, 5]",
-    "1808": "[2, 1, 0, 4, 6, 3, 5]",
-    "1809": "[3, 0, 2, 5, 1, 4, 6]",
-    "1810": "[4, 1, 3, 6, 2, 5, 0]",
-    "1811": "[5, 2, 4, 0, 3, 6, 1]",
-    "1812": "[6, 1, 3, 5, 2, 4, 0]",
-    "1813": "[0, 5, 2, 6, 4, 1, 3]",
-    "1814": "[1, 5, 0, 6, 4, 2, 3]",
-    "1815": "[2, 5, 1, 6, 4, 0, 3]",
-    "1816": "[3, 6, 0, 1, 5, 2, 4]",
-    "1817": "[4, 0, 1, 2, 6, 3, 5]",
-    "1818": "[5, 1, 2, 3, 0, 4, 6]",
-    "1819": "[6, 0, 1, 2, 5, 3, 4]",
-    "1820": "[0, 6, 3, 2, 5, 1, 4]",
-    "1821": "[1, 6, 3, 0, 5, 2, 4]",
-    "1822": "[2, 6, 3, 1, 5, 0, 4]",
-    "1823": "[3, 1, 4, 0, 6, 2, 5]",
-    "1824": "[4, 2, 5, 1, 0, 3, 6]",
-    "1825": "[5, 3, 6, 2, 1, 4, 0]",
-    "1826": "[6, 2, 4, 1, 0, 3, 5]",
-    "1827": "[0, 2, 4, 3, 6, 1, 5]",
-    "1828": "[1, 0, 4, 3, 6, 2, 5]",
-    "1829": "[2, 1, 4, 3, 6, 0, 5]",
-    "1830": "[3, 0, 5, 4, 1, 2, 6]",
-    "1831": "[4, 1, 6, 5, 2, 3, 0]",
-    "1832": "[5, 2, 0, 6, 3, 4, 1]",
-    "1833": "[6, 1, 5, 4, 2, 3, 0]",
-    "1834": "[0, 3, 5, 4, 2, 1, 6]",
-    "1835": "[1, 3, 5, 4, 0, 2, 6]",
-    "1836": "[2, 3, 5, 4, 1, 0, 6]",
-    "1837": "[3, 4, 6, 5, 0, 2, 1]",
-    "1838": "[4, 5, 0, 6, 1, 3, 2]",
-    "1839": "[5, 6, 1, 0, 2, 4, 3]",
-    "1840": "[6, 4, 0, 5, 1, 3, 2]",
-    "1841": "[0, 2, 6, 3, 5, 1, 4]",
-    "1842": "[1, 0, 6, 3, 5, 2, 4]",
-    "1843": "[2, 1, 6, 3, 5, 0, 4]",
-    "1844": "[3, 0, 1, 4, 6, 2, 5]",
-    "1845": "[4, 1, 2, 5, 0, 3, 6]",
-    "1846": "[5, 2, 3, 6, 1, 4, 0]",
-    "1847": "[6, 1, 2, 4, 0, 3, 5]",
-    "1848": "[0, 4, 1, 6, 5, 2, 3]",
-    "1849": "[1, 4, 2, 6, 5, 0, 3]",
-    "1850": "[2, 4, 0, 6, 5, 1, 3]",
-    "1851": "[3, 5, 2, 1, 6, 0, 4]",
-    "1852": "[4, 6, 3, 2, 0, 1, 5]",
-    "1853": "[5, 0, 4, 3, 1, 2, 6]",
-    "1854": "[6, 5, 3, 2, 0, 1, 4]",
-    "1855": "[0, 6, 2, 4, 3, 5, 1]",
-    "1856": "[1, 6, 0, 4, 3, 5, 2]",
-    "1857": "[2, 6, 1, 4, 3, 5, 0]",
-    "1858": "[3, 1, 0, 5, 4, 6, 2]",
-    "1859": "[4, 2, 1, 6, 5, 0, 3]",
-    "1860": "[5, 3, 2, 0, 6, 1, 4]",
-    "1861": "[6, 2, 1, 5, 4, 0, 3]",
-    "1862": "[0, 2, 3, 5, 4, 6, 1]",
-    "1863": "[1, 0, 3, 5, 4, 6, 2]",
-    "1864": "[2, 1, 3, 5, 4, 6, 0]",
-    "1865": "[3, 0, 4, 6, 5, 1, 2]",
-    "1866": "[4, 1, 5, 0, 6, 2, 3]",
-    "1867": "[5, 2, 6, 1, 0, 3, 4]",
-    "1868": "[6, 1, 4, 0, 5, 2, 3]",
-    "1869": "[0, 3, 4, 6, 5, 2, 1]",
-    "1870": "[1, 3, 4, 6, 5, 0, 2]",
-    "1871": "[2, 3, 4, 6, 5, 1, 0]",
-    "1872": "[3, 4, 5, 1, 6, 0, 2]",
-    "1873": "[4, 5, 6, 2, 0, 1, 3]",
-    "1874": "[5, 6, 0, 3, 1, 2, 4]",
-    "1875": "[6, 4, 5, 2, 0, 1, 3]",
-    "1876": "[0, 4, 5, 2, 6, 3, 1]",
-    "1877": "[1, 4, 5, 0, 6, 3, 2]",
-    "1878": "[2, 4, 5, 1, 6, 3, 0]",
-    "1879": "[3, 5, 6, 0, 1, 4, 2]",
-    "1880": "[4, 6, 0, 1, 2, 5, 3]",
-    "1881": "[5, 0, 1, 2, 3, 6, 4]",
-    "1882": "[6, 5, 0, 1, 2, 4, 3]",
-    "1883": "[0, 3, 6, 5, 4, 2, 1]",
-    "1884": "[1, 3, 6, 5, 4, 0, 2]",
-    "1885": "[2, 3, 6, 5, 4, 1, 0]",
-    "1886": "[3, 4, 1, 6, 5, 0, 2]",
-    "1887": "[4, 5, 2, 0, 6, 1, 3]",
-    "1888": "[5, 6, 3, 1, 0, 2, 4]",
-    "1889": "[6, 4, 2, 0, 5, 1, 3]",
-    "1890": "[0, 3, 1, 6, 4, 2, 5]",
-    "1891": "[1, 3, 2, 6, 4, 0, 5]",
-    "1892": "[2, 3, 0, 6, 4, 1, 5]",
-    "1893": "[3, 4, 2, 1, 5, 0, 6]",
-    "1894": "[4, 5, 3, 2, 6, 1, 0]",
-    "1895": "[5, 6, 4, 3, 0, 2, 1]",
-    "1896": "[6, 4, 3, 2, 5, 1, 0]",
-    "1897": "[0, 1, 2, 4, 6, 5, 3]",
-    "1898": "[1, 2, 0, 4, 6, 5, 3]",
-    "1899": "[2, 0, 1, 4, 6, 5, 3]",
-    "1900": "[3, 2, 0, 5, 1, 6, 4]",
-    "1901": "[4, 3, 1, 6, 2, 0, 5]",
-    "1902": "[5, 4, 2, 0, 3, 1, 6]",
-    "1903": "[6, 3, 1, 5, 2, 0, 4]",
-    "1904": "[0, 1, 3, 5, 2, 6, 4]",
-    "1905": "[1, 2, 3, 5, 0, 6, 4]",
-    "1906": "[2, 0, 3, 5, 1, 6, 4]",
-    "1907": "[3, 2, 4, 6, 0, 1, 5]",
-    "1908": "[4, 3, 5, 0, 1, 2, 6]",
-    "1909": "[5, 4, 6, 1, 2, 3, 0]",
-    "1910": "[6, 3, 4, 0, 1, 2, 5]",
-    "1911": "[0, 1, 4, 6, 3, 2, 5]",
-    "1912": "[1, 2, 4, 6, 3, 0, 5]",
-    "1913": "[2, 0, 4, 6, 3, 1, 5]",
-    "1914": "[3, 2, 5, 1, 4, 0, 6]",
-    "1915": "[4, 3, 6, 2, 5, 1, 0]",
-    "1916": "[5, 4, 0, 3, 6, 2, 1]",
-    "1917": "[6, 3, 5, 2, 4, 1, 0]",
-    "1918": "[0, 1, 5, 2, 4, 3, 6]",
-    "1919": "[1, 2, 5, 0, 4, 3, 6]",
-    "1920": "[2, 0, 5, 1, 4, 3, 6]",
-    "1921": "[3, 2, 6, 0, 5, 4, 1]",
-    "1922": "[4, 3, 0, 1, 6, 5, 2]",
-    "1923": "[5, 4, 1, 2, 0, 6, 3]",
-    "1924": "[6, 3, 0, 1, 5, 4, 2]",
-    "1925": "[0, 1, 6, 5, 3, 2, 4]",
-    "1926": "[1, 2, 6, 5, 3, 0, 4]",
-    "1927": "[2, 0, 6, 5, 3, 1, 4]",
-    "1928": "[3, 2, 1, 6, 4, 0, 5]",
-    "1929": "[4, 3, 2, 0, 5, 1, 6]",
-    "1930": "[5, 4, 3, 1, 6, 2, 0]",
-    "1931": "[6, 3, 2, 0, 4, 1, 5]",
-    "1932": "[0, 5, 1, 2, 3, 4, 6]",
-    "1933": "[1, 5, 2, 0, 3, 4, 6]",
-    "1934": "[2, 5, 0, 1, 3, 4, 6]",
-    "1935": "[3, 6, 2, 0, 4, 5, 1]",
-    "1936": "[4, 0, 3, 1, 5, 6, 2]",
-    "1937": "[5, 1, 4, 2, 6, 0, 3]",
-    "1938": "[6, 0, 3, 1, 4, 5, 2]",
-    "1939": "[0, 3, 2, 5, 1, 6, 4]",
-    "1940": "[1, 3, 0, 5, 2, 6, 4]",
-    "1941": "[2, 3, 1, 5, 0, 6, 4]",
-    "1942": "[3, 4, 0, 6, 2, 1, 5]",
-    "1943": "[4, 5, 1, 0, 3, 2, 6]",
-    "1944": "[5, 6, 2, 1, 4, 3, 0]",
-    "1945": "[6, 4, 1, 0, 3, 2, 5]",
-    "1946": "[0, 4, 3, 6, 1, 2, 5]",
-    "1947": "[1, 4, 3, 6, 2, 0, 5]",
-    "1948": "[2, 4, 3, 6, 0, 1, 5]",
-    "1949": "[3, 5, 4, 1, 2, 0, 6]",
-    "1950": "[4, 6, 5, 2, 3, 1, 0]",
-    "1951": "[5, 0, 6, 3, 4, 2, 1]",
-    "1952": "[6, 5, 4, 2, 3, 1, 0]",
-    "1953": "[0, 5, 4, 2, 1, 3, 6]",
-    "1954": "[1, 5, 4, 0, 2, 3, 6]",
-    "1955": "[2, 5, 4, 1, 0, 3, 6]",
-    "1956": "[3, 6, 5, 0, 2, 4, 1]",
-    "1957": "[4, 0, 6, 1, 3, 5, 2]",
-    "1958": "[5, 1, 0, 2, 4, 6, 3]",
-    "1959": "[6, 0, 5, 1, 3, 4, 2]",
-    "1960": "[0, 6, 5, 3, 1, 4, 2]",
-    "1961": "[1, 6, 5, 3, 2, 4, 0]",
-    "1962": "[2, 6, 5, 3, 0, 4, 1]",
-    "1963": "[3, 1, 6, 4, 2, 5, 0]",
-    "1964": "[4, 2, 0, 5, 3, 6, 1]",
-    "1965": "[5, 3, 1, 6, 4, 0, 2]",
-    "1966": "[6, 2, 0, 4, 3, 5, 1]",
-    "1967": "[0, 4, 6, 2, 1, 3, 5]",
-    "1968": "[1, 4, 6, 0, 2, 3, 5]",
-    "1969": "[2, 4, 6, 1, 0, 3, 5]",
-    "1970": "[3, 5, 1, 0, 2, 4, 6]",
-    "1971": "[4, 6, 2, 1, 3, 5, 0]",
-    "1972": "[5, 0, 3, 2, 4, 6, 1]",
-    "1973": "[6, 5, 2, 1, 3, 4, 0]",
-    "1974": "[0, 6, 1, 4, 5, 3, 2]",
-    "1975": "[1, 6, 2, 4, 5, 3, 0]",
-    "1976": "[2, 6, 0, 4, 5, 3, 1]",
-    "1977": "[3, 1, 2, 5, 6, 4, 0]",
-    "1978": "[4, 2, 3, 6, 0, 5, 1]",
-    "1979": "[5, 3, 4, 0, 1, 6, 2]",
-    "1980": "[6, 2, 3, 5, 0, 4, 1]",
-    "1981": "[0, 4, 2, 6, 3, 1, 5]",
-    "1982": "[1, 4, 0, 6, 3, 2, 5]",
-    "1983": "[2, 4, 1, 6, 3, 0, 5]",
-    "1984": "[3, 5, 0, 1, 4, 2, 6]",
-    "1985": "[4, 6, 1, 2, 5, 3, 0]",
-    "1986": "[5, 0, 2, 3, 6, 4, 1]",
-    "1987": "[6, 5, 1, 2, 4, 3, 0]",
-    "1988": "[0, 5, 3, 2, 4, 1, 6]",
-    "1989": "[1, 5, 3, 0, 4, 2, 6]",
-    "1990": "[2, 5, 3, 1, 4, 0, 6]",
-    "1991": "[3, 6, 4, 0, 5, 2, 1]",
-    "1992": "[4, 0, 5, 1, 6, 3, 2]",
-    "1993": "[5, 1, 6, 2, 0, 4, 3]",
-    "1994": "[6, 0, 4, 1, 5, 3, 2]",
-    "1995": "[0, 6, 4, 3, 5, 1, 2]",
-    "1996": "[1, 6, 4, 3, 5, 2, 0]",
-    "1997": "[2, 6, 4, 3, 5, 0, 1]",
-    "1998": "[3, 1, 5, 4, 6, 2, 0]",
-    "1999": "[4, 2, 6, 5, 0, 3, 1]",
-    "2000": "[5, 3, 0, 6, 1, 4, 2]",
-    "2001": "[6, 2, 5, 4, 0, 3, 1]",
-    "2002": "[0, 2, 5, 4, 6, 1, 3]",
-    "2003": "[1, 0, 5, 4, 6, 2, 3]",
-    "2004": "[2, 1, 5, 4, 6, 0, 3]",
-    "2005": "[3, 0, 6, 5, 1, 2, 4]",
-    "2006": "[4, 1, 0, 6, 2, 3, 5]",
-    "2007": "[5, 2, 1, 0, 3, 4, 6]",
-    "2008": "[6, 1, 0, 5, 2, 3, 4]",
-    "2009": "[0, 5, 6, 3, 4, 1, 2]",
-    "2010": "[1, 5, 6, 3, 4, 2, 0]",
-    "2011": "[2, 5, 6, 3, 4, 0, 1]",
-    "2012": "[3, 6, 1, 4, 5, 2, 0]",
-    "2013": "[4, 0, 2, 5, 6, 3, 1]",
-    "2014": "[5, 1, 3, 6, 0, 4, 2]",
-    "2015": "[6, 0, 2, 4, 5, 3, 1]",
-    "2016": "[0, 2, 1, 3, 6, 5, 4]",
-    "2017": "[1, 0, 2, 3, 6, 5, 4]",
-    "2018": "[2, 1, 0, 3, 6, 5, 4]",
-    "2019": "[3, 0, 2, 4, 1, 6, 5]",
-    "2020": "[4, 1, 3, 5, 2, 0, 6]",
-    "2021": "[5, 2, 4, 6, 3, 1, 0]",
-    "2022": "[6, 1, 3, 4, 2, 0, 5]",
-    "2023": "[0, 5, 2, 1, 4, 3, 6]",
-    "2024": "[1, 5, 0, 2, 4, 3, 6]",
-    "2025": "[2, 5, 1, 0, 4, 3, 6]",
-    "2026": "[3, 6, 0, 2, 5, 4, 1]",
-    "2027": "[4, 0, 1, 3, 6, 5, 2]",
-    "2028": "[5, 1, 2, 4, 0, 6, 3]",
-    "2029": "[6, 0, 1, 3, 5, 4, 2]",
-    "2030": "[0, 6, 3, 1, 5, 4, 2]",
-    "2031": "[1, 6, 3, 2, 5, 4, 0]",
-    "2032": "[2, 6, 3, 0, 5, 4, 1]",
-    "2033": "[3, 1, 4, 2, 6, 5, 0]",
-    "2034": "[4, 2, 5, 3, 0, 6, 1]",
-    "2035": "[5, 3, 6, 4, 1, 0, 2]",
-    "2036": "[6, 2, 4, 3, 0, 5, 1]",
-    "2037": "[0, 2, 4, 1, 6, 5, 3]",
-    "2038": "[1, 0, 4, 2, 6, 5, 3]",
-    "2039": "[2, 1, 4, 0, 6, 5, 3]",
-    "2040": "[3, 0, 5, 2, 1, 6, 4]",
-    "2041": "[4, 1, 6, 3, 2, 0, 5]",
-    "2042": "[5, 2, 0, 4, 3, 1, 6]",
-    "2043": "[6, 1, 5, 3, 2, 0, 4]",
-    "2044": "[0, 3, 5, 1, 2, 6, 4]",
-    "2045": "[1, 3, 5, 2, 0, 6, 4]",
-    "2046": "[2, 3, 5, 0, 1, 6, 4]",
-    "2047": "[3, 4, 6, 2, 0, 1, 5]",
-    "2048": "[4, 5, 0, 3, 1, 2, 6]",
-    "2049": "[5, 6, 1, 4, 2, 3, 0]",
-    "2050": "[6, 4, 0, 3, 1, 2, 5]",
-    "2051": "[0, 2, 6, 1, 5, 4, 3]",
-    "2052": "[1, 0, 6, 2, 5, 4, 3]",
-    "2053": "[2, 1, 6, 0, 5, 4, 3]",
-    "2054": "[3, 0, 1, 2, 6, 5, 4]",
-    "2055": "[4, 1, 2, 3, 0, 6, 5]",
-    "2056": "[5, 2, 3, 4, 1, 0, 6]",
-    "2057": "[6, 1, 2, 3, 0, 5, 4]",
-    "2058": "[0, 4, 1, 2, 5, 3, 6]",
-    "2059": "[1, 4, 2, 0, 5, 3, 6]",
-    "2060": "[2, 4, 0, 1, 5, 3, 6]",
-    "2061": "[3, 5, 2, 0, 6, 4, 1]",
-    "2062": "[4, 6, 3, 1, 0, 5, 2]",
-    "2063": "[5, 0, 4, 2, 1, 6, 3]",
-    "2064": "[6, 5, 3, 1, 0, 4, 2]",
-    "2065": "[0, 6, 2, 5, 3, 1, 4]",
-    "2066": "[1, 6, 0, 5, 3, 2, 4]",
-    "2067": "[2, 6, 1, 5, 3, 0, 4]",
-    "2068": "[3, 1, 0, 6, 4, 2, 5]",
-    "2069": "[4, 2, 1, 0, 5, 3, 6]",
-    "2070": "[5, 3, 2, 1, 6, 4, 0]",
-    "2071": "[6, 2, 1, 0, 4, 3, 5]",
-    "2072": "[0, 2, 3, 6, 4, 1, 5]",
-    "2073": "[1, 0, 3, 6, 4, 2, 5]",
-    "2074": "[2, 1, 3, 6, 4, 0, 5]",
-    "2075": "[3, 0, 4, 1, 5, 2, 6]",
-    "2076": "[4, 1, 5, 2, 6, 3, 0]",
-    "2077": "[5, 2, 6, 3, 0, 4, 1]",
-    "2078": "[6, 1, 4, 2, 5, 3, 0]",
-    "2079": "[0, 3, 4, 2, 5, 1, 6]",
-    "2080": "[1, 3, 4, 0, 5, 2, 6]",
-    "2081": "[2, 3, 4, 1, 5, 0, 6]",
-    "2082": "[3, 4, 5, 0, 6, 2, 1]",
-    "2083": "[4, 5, 6, 1, 0, 3, 2]",
-    "2084": "[5, 6, 0, 2, 1, 4, 3]",
-    "2085": "[6, 4, 5, 1, 0, 3, 2]",
-    "2086": "[0, 4, 5, 3, 6, 1, 2]",
-    "2087": "[1, 4, 5, 3, 6, 2, 0]",
-    "2088": "[2, 4, 5, 3, 6, 0, 1]",
-    "2089": "[3, 5, 6, 4, 1, 2, 0]",
-    "2090": "[4, 6, 0, 5, 2, 3, 1]",
-    "2091": "[5, 0, 1, 6, 3, 4, 2]",
-    "2092": "[6, 5, 0, 4, 2, 3, 1]",
-    "2093": "[0, 3, 6, 2, 4, 1, 5]",
-    "2094": "[1, 3, 6, 0, 4, 2, 5]",
-    "2095": "[2, 3, 6, 1, 4, 0, 5]",
-    "2096": "[3, 4, 1, 0, 5, 2, 6]",
-    "2097": "[4, 5, 2, 1, 6, 3, 0]",
-    "2098": "[5, 6, 3, 2, 0, 4, 1]",
-    "2099": "[6, 4, 2, 1, 5, 3, 0]",
-    "2100": "[0, 3, 1, 2, 4, 5, 6]",
-    "2101": "[1, 3, 2, 0, 4, 5, 6]",
-    "2102": "[2, 3, 0, 1, 4, 5, 6]",
-    "2103": "[3, 4, 2, 0, 5, 6, 1]",
-    "2104": "[4, 5, 3, 1, 6, 0, 2]",
-    "2105": "[5, 6, 4, 2, 0, 1, 3]",
-    "2106": "[6, 4, 3, 1, 5, 0, 2]",
-    "2107": "[0, 1, 2, 5, 6, 3, 4]",
-    "2108": "[1, 2, 0, 5, 6, 3, 4]",
-    "2109": "[2, 0, 1, 5, 6, 3, 4]",
-    "2110": "[3, 2, 0, 6, 1, 4, 5]",
-    "2111": "[4, 3, 1, 0, 2, 5, 6]",
-    "2112": "[5, 4, 2, 1, 3, 6, 0]",
-    "2113": "[6, 3, 1, 0, 2, 4, 5]",
-    "2114": "[0, 1, 3, 6, 2, 4, 5]",
-    "2115": "[1, 2, 3, 6, 0, 4, 5]",
-    "2116": "[2, 0, 3, 6, 1, 4, 5]",
-    "2117": "[3, 2, 4, 1, 0, 5, 6]",
-    "2118": "[4, 3, 5, 2, 1, 6, 0]",
-    "2119": "[5, 4, 6, 3, 2, 0, 1]",
-    "2120": "[6, 3, 4, 2, 1, 5, 0]",
-    "2121": "[0, 1, 4, 2, 3, 5, 6]",
-    "2122": "[1, 2, 4, 0, 3, 5, 6]",
-    "2123": "[2, 0, 4, 1, 3, 5, 6]",
-    "2124": "[3, 2, 5, 0, 4, 6, 1]",
-    "2125": "[4, 3, 6, 1, 5, 0, 2]",
-    "2126": "[5, 4, 0, 2, 6, 1, 3]",
-    "2127": "[6, 3, 5, 1, 4, 0, 2]",
-    "2128": "[0, 1, 5, 3, 4, 6, 2]",
-    "2129": "[1, 2, 5, 3, 4, 6, 0]",
-    "2130": "[2, 0, 5, 3, 4, 6, 1]",
-    "2131": "[3, 2, 6, 4, 5, 1, 0]",
-    "2132": "[4, 3, 0, 5, 6, 2, 1]",
-    "2133": "[5, 4, 1, 6, 0, 3, 2]",
-    "2134": "[6, 3, 0, 4, 5, 2, 1]",
-    "2135": "[0, 1, 6, 2, 3, 4, 5]",
-    "2136": "[1, 2, 6, 0, 3, 4, 5]",
-    "2137": "[2, 0, 6, 1, 3, 4, 5]",
-    "2138": "[3, 2, 1, 0, 4, 5, 6]",
-    "2139": "[4, 3, 2, 1, 5, 6, 0]",
-    "2140": "[5, 4, 3, 2, 6, 0, 1]",
-    "2141": "[6, 3, 2, 1, 4, 5, 0]",
-    "2142": "[0, 5, 1, 4, 3, 6, 2]",
-    "2143": "[1, 5, 2, 4, 3, 6, 0]",
-    "2144": "[2, 5, 0, 4, 3, 6, 1]",
-    "2145": "[3, 6, 2, 5, 4, 1, 0]",
-    "2146": "[4, 0, 3, 6, 5, 2, 1]",
-    "2147": "[5, 1, 4, 0, 6, 3, 2]",
-    "2148": "[6, 0, 3, 5, 4, 2, 1]",
-    "2149": "[0, 3, 2, 6, 1, 4, 5]",
-    "2150": "[1, 3, 0, 6, 2, 4, 5]",
-    "2151": "[2, 3, 1, 6, 0, 4, 5]",
-    "2152": "[3, 4, 0, 1, 2, 5, 6]",
-    "2153": "[4, 5, 1, 2, 3, 6, 0]",
-    "2154": "[5, 6, 2, 3, 4, 0, 1]",
-    "2155": "[6, 4, 1, 2, 3, 5, 0]",
-    "2156": "[0, 4, 3, 2, 1, 5, 6]",
-    "2157": "[1, 4, 3, 0, 2, 5, 6]",
-    "2158": "[2, 4, 3, 1, 0, 5, 6]",
-    "2159": "[3, 5, 4, 0, 2, 6, 1]",
-    "2160": "[4, 6, 5, 1, 3, 0, 2]",
-    "2161": "[5, 0, 6, 2, 4, 1, 3]",
-    "2162": "[6, 5, 4, 1, 3, 0, 2]",
-    "2163": "[0, 5, 4, 3, 1, 6, 2]",
-    "2164": "[1, 5, 4, 3, 2, 6, 0]",
-    "2165": "[2, 5, 4, 3, 0, 6, 1]",
-    "2166": "[3, 6, 5, 4, 2, 1, 0]",
-    "2167": "[4, 0, 6, 5, 3, 2, 1]",
-    "2168": "[5, 1, 0, 6, 4, 3, 2]",
-    "2169": "[6, 0, 5, 4, 3, 2, 1]",
-    "2170": "[0, 6, 5, 4, 1, 2, 3]",
-    "2171": "[1, 6, 5, 4, 2, 0, 3]",
-    "2172": "[2, 6, 5, 4, 0, 1, 3]",
-    "2173": "[3, 1, 6, 5, 2, 0, 4]",
-    "2174": "[4, 2, 0, 6, 3, 1, 5]",
-    "2175": "[5, 3, 1, 0, 4, 2, 6]",
-    "2176": "[6, 2, 0, 5, 3, 1, 4]",
-    "2177": "[0, 4, 6, 3, 1, 5, 2]",
-    "2178": "[1, 4, 6, 3, 2, 5, 0]",
-    "2179": "[2, 4, 6, 3, 0, 5, 1]",
-    "2180": "[3, 5, 1, 4, 2, 6, 0]",
-    "2181": "[4, 6, 2, 5, 3, 0, 1]",
-    "2182": "[5, 0, 3, 6, 4, 1, 2]",
-    "2183": "[6, 5, 2, 4, 3, 0, 1]",
-    "2184": "[0, 6, 1, 3, 5, 2, 4]",
-    "2185": "[1, 6, 2, 3, 5, 0, 4]",
-    "2186": "[2, 6, 0, 3, 5, 1, 4]",
-    "2187": "[3, 1, 2, 4, 6, 0, 5]",
-    "2188": "[4, 2, 3, 5, 0, 1, 6]",
-    "2189": "[5, 3, 4, 6, 1, 2, 0]",
-    "2190": "[6, 2, 3, 4, 0, 1, 5]",
-    "2191": "[0, 4, 2, 1, 3, 5, 6]",
-    "2192": "[1, 4, 0, 2, 3, 5, 6]",
-    "2193": "[2, 4, 1, 0, 3, 5, 6]",
-    "2194": "[3, 5, 0, 2, 4, 6, 1]",
-    "2195": "[4, 6, 1, 3, 5, 0, 2]",
-    "2196": "[5, 0, 2, 4, 6, 1, 3]",
-    "2197": "[6, 5, 1, 3, 4, 0, 2]",
-    "2198": "[0, 5, 3, 1, 4, 6, 2]",
-    "2199": "[1, 5, 3, 2, 4, 6, 0]",
-    "2200": "[2, 5, 3, 0, 4, 6, 1]",
-    "2201": "[3, 6, 4, 2, 5, 1, 0]",
-    "2202": "[4, 0, 5, 3, 6, 2, 1]",
-    "2203": "[5, 1, 6, 4, 0, 3, 2]",
-    "2204": "[6, 0, 4, 3, 5, 2, 1]",
-    "2205": "[0, 6, 4, 1, 5, 2, 3]",
-    "2206": "[1, 6, 4, 2, 5, 0, 3]",
-    "2207": "[2, 6, 4, 0, 5, 1, 3]",
-    "2208": "[3, 1, 5, 2, 6, 0, 4]",
-    "2209": "[4, 2, 6, 3, 0, 1, 5]",
-    "2210": "[5, 3, 0, 4, 1, 2, 6]",
-    "2211": "[6, 2, 5, 3, 0, 1, 4]",
-    "2212": "[0, 2, 5, 1, 6, 3, 4]",
-    "2213": "[1, 0, 5, 2, 6, 3, 4]",
-    "2214": "[2, 1, 5, 0, 6, 3, 4]",
-    "2215": "[3, 0, 6, 2, 1, 4, 5]",
-    "2216": "[4, 1, 0, 3, 2, 5, 6]",
-    "2217": "[5, 2, 1, 4, 3, 6, 0]",
-    "2218": "[6, 1, 0, 3, 2, 4, 5]",
-    "2219": "[0, 5, 6, 1, 4, 2, 3]",
-    "2220": "[1, 5, 6, 2, 4, 0, 3]",
-    "2221": "[2, 5, 6, 0, 4, 1, 3]",
-    "2222": "[3, 6, 1, 2, 5, 0, 4]",
-    "2223": "[4, 0, 2, 3, 6, 1, 5]",
-    "2224": "[5, 1, 3, 4, 0, 2, 6]",
-    "2225": "[6, 0, 2, 3, 5, 1, 4]",
-    "2226": "[0, 2, 1, 5, 6, 4, 3]",
-    "2227": "[1, 0, 2, 5, 6, 4, 3]",
-    "2228": "[2, 1, 0, 5, 6, 4, 3]",
-    "2229": "[3, 0, 2, 6, 1, 5, 4]",
-    "2230": "[4, 1, 3, 0, 2, 6, 5]",
-    "2231": "[5, 2, 4, 1, 3, 0, 6]",
-    "2232": "[6, 1, 3, 0, 2, 5, 4]",
-    "2233": "[0, 5, 2, 3, 4, 6, 1]",
-    "2234": "[1, 5, 0, 3, 4, 6, 2]",
-    "2235": "[2, 5, 1, 3, 4, 6, 0]",
-    "2236": "[3, 6, 0, 4, 5, 1, 2]",
-    "2237": "[4, 0, 1, 5, 6, 2, 3]",
-    "2238": "[5, 1, 2, 6, 0, 3, 4]",
-    "2239": "[6, 0, 1, 4, 5, 2, 3]",
-    "2240": "[0, 6, 3, 4, 5, 2, 1]",
-    "2241": "[1, 6, 3, 4, 5, 0, 2]",
-    "2242": "[2, 6, 3, 4, 5, 1, 0]",
-    "2243": "[3, 1, 4, 5, 6, 0, 2]",
-    "2244": "[4, 2, 5, 6, 0, 1, 3]",
-    "2245": "[5, 3, 6, 0, 1, 2, 4]",
-    "2246": "[6, 2, 4, 5, 0, 1, 3]",
-    "2247": "[0, 2, 4, 5, 6, 3, 1]",
-    "2248": "[1, 0, 4, 5, 6, 3, 2]",
-    "2249": "[2, 1, 4, 5, 6, 3, 0]",
-    "2250": "[3, 0, 5, 6, 1, 4, 2]",
-    "2251": "[4, 1, 6, 0, 2, 5, 3]",
-    "2252": "[5, 2, 0, 1, 3, 6, 4]",
-    "2253": "[6, 1, 5, 0, 2, 4, 3]",
-    "2254": "[0, 3, 5, 6, 2, 4, 1]",
-    "2255": "[1, 3, 5, 6, 0, 4, 2]",
-    "2256": "[2, 3, 5, 6, 1, 4, 0]",
-    "2257": "[3, 4, 6, 1, 0, 5, 2]",
-    "2258": "[4, 5, 0, 2, 1, 6, 3]",
-    "2259": "[5, 6, 1, 3, 2, 0, 4]",
-    "2260": "[6, 4, 0, 2, 1, 5, 3]",
-    "2261": "[0, 2, 6, 4, 5, 3, 1]",
-    "2262": "[1, 0, 6, 4, 5, 3, 2]",
-    "2263": "[2, 1, 6, 4, 5, 3, 0]",
-    "2264": "[3, 0, 1, 5, 6, 4, 2]",
-    "2265": "[4, 1, 2, 6, 0, 5, 3]",
-    "2266": "[5, 2, 3, 0, 1, 6, 4]",
-    "2267": "[6, 1, 2, 5, 0, 4, 3]",
-    "2268": "[0, 4, 1, 3, 5, 6, 2]",
-    "2269": "[1, 4, 2, 3, 5, 6, 0]",
-    "2270": "[2, 4, 0, 3, 5, 6, 1]",
-    "2271": "[3, 5, 2, 4, 6, 1, 0]",
-    "2272": "[4, 6, 3, 5, 0, 2, 1]",
-    "2273": "[5, 0, 4, 6, 1, 3, 2]",
-    "2274": "[6, 5, 3, 4, 0, 2, 1]",
-    "2275": "[0, 6, 2, 1, 3, 4, 5]",
-    "2276": "[1, 6, 0, 2, 3, 4, 5]",
-    "2277": "[2, 6, 1, 0, 3, 4, 5]",
-    "2278": "[3, 1, 0, 2, 4, 5, 6]",
-    "2279": "[4, 2, 1, 3, 5, 6, 0]",
-    "2280": "[5, 3, 2, 4, 6, 0, 1]",
-    "2281": "[6, 2, 1, 3, 4, 5, 0]",
-    "2282": "[0, 2, 3, 1, 4, 5, 6]",
-    "2283": "[1, 0, 3, 2, 4, 5, 6]",
-    "2284": "[2, 1, 3, 0, 4, 5, 6]",
-    "2285": "[3, 0, 4, 2, 5, 6, 1]",
-    "2286": "[4, 1, 5, 3, 6, 0, 2]",
-    "2287": "[5, 2, 6, 4, 0, 1, 3]",
-    "2288": "[6, 1, 4, 3, 5, 0, 2]",
-    "2289": "[0, 3, 4, 1, 5, 6, 2]",
-    "2290": "[1, 3, 4, 2, 5, 6, 0]",
-    "2291": "[2, 3, 4, 0, 5, 6, 1]",
-    "2292": "[3, 4, 5, 2, 6, 1, 0]",
-    "2293": "[4, 5, 6, 3, 0, 2, 1]",
-    "2294": "[5, 6, 0, 4, 1, 3, 2]",
-    "2295": "[6, 4, 5, 3, 0, 2, 1]",
-    "2296": "[0, 4, 5, 1, 6, 2, 3]",
-    "2297": "[1, 4, 5, 2, 6, 0, 3]",
-    "2298": "[2, 4, 5, 0, 6, 1, 3]",
-    "2299": "[3, 5, 6, 2, 1, 0, 4]",
-    "2300": "[4, 6, 0, 3, 2, 1, 5]",
-    "2301": "[5, 0, 1, 4, 3, 2, 6]",
-    "2302": "[6, 5, 0, 3, 2, 1, 4]",
-    "2303": "[0, 3, 6, 1, 4, 5, 2]",
-    "2304": "[1, 3, 6, 2, 4, 5, 0]",
-    "2305": "[2, 3, 6, 0, 4, 5, 1]",
-    "2306": "[3, 4, 1, 2, 5, 6, 0]",
-    "2307": "[4, 5, 2, 3, 6, 0, 1]",
-    "2308": "[5, 6, 3, 4, 0, 1, 2]",
-    "2309": "[6, 4, 2, 3, 5, 0, 1]",
-    "2310": "[0, 3, 1, 4, 2, 6, 5]",
-    "2311": "[1, 3, 2, 4, 0, 6, 5]",
-    "2312": "[2, 3, 0, 4, 1, 6, 5]",
-    "2313": "[3, 4, 2, 5, 0, 1, 6]",
-    "2314": "[4, 5, 3, 6, 1, 2, 0]",
-    "2315": "[5, 6, 4, 0, 2, 3, 1]",
-    "2316": "[6, 4, 3, 5, 1, 2, 0]",
-    "2317": "[0, 1, 2, 6, 5, 4, 3]",
-    "2318": "[1, 2, 0, 6, 5, 4, 3]",
-    "2319": "[2, 0, 1, 6, 5, 4, 3]",
-    "2320": "[3, 2, 0, 1, 6, 5, 4]",
-    "2321": "[4, 3, 1, 2, 0, 6, 5]",
-    "2322": "[5, 4, 2, 3, 1, 0, 6]",
-    "2323": "[6, 3, 1, 2, 0, 5, 4]",
-    "2324": "[0, 1, 3, 2, 6, 5, 4]",
-    "2325": "[1, 2, 3, 0, 6, 5, 4]",
-    "2326": "[2, 0, 3, 1, 6, 5, 4]",
-    "2327": "[3, 2, 4, 0, 1, 6, 5]",
-    "2328": "[4, 3, 5, 1, 2, 0, 6]",
-    "2329": "[5, 4, 6, 2, 3, 1, 0]",
-    "2330": "[6, 3, 4, 1, 2, 0, 5]",
-    "2331": "[0, 1, 4, 3, 2, 6, 5]",
-    "2332": "[1, 2, 4, 3, 0, 6, 5]",
-    "2333": "[2, 0, 4, 3, 1, 6, 5]",
-    "2334": "[3, 2, 5, 4, 0, 1, 6]",
-    "2335": "[4, 3, 6, 5, 1, 2, 0]",
-    "2336": "[5, 4, 0, 6, 2, 3, 1]",
-    "2337": "[6, 3, 5, 4, 1, 2, 0]",
-    "2338": "[0, 1, 5, 4, 3, 2, 6]",
-    "2339": "[1, 2, 5, 4, 3, 0, 6]",
-    "2340": "[2, 0, 5, 4, 3, 1, 6]",
-    "2341": "[3, 2, 6, 5, 4, 0, 1]",
-    "2342": "[4, 3, 0, 6, 5, 1, 2]",
-    "2343": "[5, 4, 1, 0, 6, 2, 3]",
-    "2344": "[6, 3, 0, 5, 4, 1, 2]",
-    "2345": "[0, 1, 6, 3, 2, 5, 4]",
-    "2346": "[1, 2, 6, 3, 0, 5, 4]",
-    "2347": "[2, 0, 6, 3, 1, 5, 4]",
-    "2348": "[3, 2, 1, 4, 0, 6, 5]",
-    "2349": "[4, 3, 2, 5, 1, 0, 6]",
-    "2350": "[5, 4, 3, 6, 2, 1, 0]",
-    "2351": "[6, 3, 2, 4, 1, 0, 5]",
-    "2352": "[0, 5, 1, 3, 4, 2, 6]",
-    "2353": "[1, 5, 2, 3, 4, 0, 6]",
-    "2354": "[2, 5, 0, 3, 4, 1, 6]",
-    "2355": "[3, 6, 2, 4, 5, 0, 1]",
-    "2356": "[4, 0, 3, 5, 6, 1, 2]",
-    "2357": "[5, 1, 4, 6, 0, 2, 3]",
-    "2358": "[6, 0, 3, 4, 5, 1, 2]",
-    "2359": "[0, 3, 2, 1, 6, 5, 4]",
-    "2360": "[1, 3, 0, 2, 6, 5, 4]",
-    "2361": "[2, 3, 1, 0, 6, 5, 4]",
-    "2362": "[3, 4, 0, 2, 1, 6, 5]",
-    "2363": "[4, 5, 1, 3, 2, 0, 6]",
-    "2364": "[5, 6, 2, 4, 3, 1, 0]",
-    "2365": "[6, 4, 1, 3, 2, 0, 5]",
-    "2366": "[0, 4, 3, 1, 2, 6, 5]",
-    "2367": "[1, 4, 3, 2, 0, 6, 5]",
-    "2368": "[2, 4, 3, 0, 1, 6, 5]",
-    "2369": "[3, 5, 4, 2, 0, 1, 6]",
-    "2370": "[4, 6, 5, 3, 1, 2, 0]",
-    "2371": "[5, 0, 6, 4, 2, 3, 1]",
-    "2372": "[6, 5, 4, 3, 1, 2, 0]",
-    "2373": "[0, 5, 4, 1, 3, 2, 6]",
-    "2374": "[1, 5, 4, 2, 3, 0, 6]",
-    "2375": "[2, 5, 4, 0, 3, 1, 6]",
-    "2376": "[3, 6, 5, 2, 4, 0, 1]",
-    "2377": "[4, 0, 6, 3, 5, 1, 2]",
-    "2378": "[5, 1, 0, 4, 6, 2, 3]",
-    "2379": "[6, 0, 5, 3, 4, 1, 2]",
-    "2380": "[0, 6, 5, 1, 4, 3, 2]",
-    "2381": "[1, 6, 5, 2, 4, 3, 0]",
-    "2382": "[2, 6, 5, 0, 4, 3, 1]",
-    "2383": "[3, 1, 6, 2, 5, 4, 0]",
-    "2384": "[4, 2, 0, 3, 6, 5, 1]",
-    "2385": "[5, 3, 1, 4, 0, 6, 2]",
-    "2386": "[6, 2, 0, 3, 5, 4, 1]",
-    "2387": "[0, 4, 6, 1, 3, 2, 5]",
-    "2388": "[1, 4, 6, 2, 3, 0, 5]",
-    "2389": "[2, 4, 6, 0, 3, 1, 5]",
-    "2390": "[3, 5, 1, 2, 4, 0, 6]",
-    "2391": "[4, 6, 2, 3, 5, 1, 0]",
-    "2392": "[5, 0, 3, 4, 6, 2, 1]",
-    "2393": "[6, 5, 2, 3, 4, 1, 0]",
-    "2394": "[0, 6, 1, 5, 3, 4, 2]",
-    "2395": "[1, 6, 2, 5, 3, 4, 0]",
-    "2396": "[2, 6, 0, 5, 3, 4, 1]",
-    "2397": "[3, 1, 2, 6, 4, 5, 0]",
-    "2398": "[4, 2, 3, 0, 5, 6, 1]",
-    "2399": "[5, 3, 4, 1, 6, 0, 2]",
-    "2400": "[6, 2, 3, 0, 4, 5, 1]",
-    "2401": "[0, 4, 2, 3, 1, 6, 5]",
-    "2402": "[1, 4, 0, 3, 2, 6, 5]",
-    "2403": "[2, 4, 1, 3, 0, 6, 5]",
-    "2404": "[3, 5, 0, 4, 2, 1, 6]",
-    "2405": "[4, 6, 1, 5, 3, 2, 0]",
-    "2406": "[5, 0, 2, 6, 4, 3, 1]",
-    "2407": "[6, 5, 1, 4, 3, 2, 0]",
-    "2408": "[0, 5, 3, 4, 1, 2, 6]",
-    "2409": "[1, 5, 3, 4, 2, 0, 6]",
-    "2410": "[2, 5, 3, 4, 0, 1, 6]",
-    "2411": "[3, 6, 4, 5, 2, 0, 1]",
-    "2412": "[4, 0, 5, 6, 3, 1, 2]",
-    "2413": "[5, 1, 6, 0, 4, 2, 3]",
-    "2414": "[6, 0, 4, 5, 3, 1, 2]",
-    "2415": "[0, 6, 4, 5, 1, 3, 2]",
-    "2416": "[1, 6, 4, 5, 2, 3, 0]",
-    "2417": "[2, 6, 4, 5, 0, 3, 1]",
-    "2418": "[3, 1, 5, 6, 2, 4, 0]",
-    "2419": "[4, 2, 6, 0, 3, 5, 1]",
-    "2420": "[5, 3, 0, 1, 4, 6, 2]",
-    "2421": "[6, 2, 5, 0, 3, 4, 1]",
-    "2422": "[0, 2, 5, 6, 1, 4, 3]",
-    "2423": "[1, 0, 5, 6, 2, 4, 3]",
-    "2424": "[2, 1, 5, 6, 0, 4, 3]",
-    "2425": "[3, 0, 6, 1, 2, 5, 4]",
-    "2426": "[4, 1, 0, 2, 3, 6, 5]",
-    "2427": "[5, 2, 1, 3, 4, 0, 6]",
-    "2428": "[6, 1, 0, 2, 3, 5, 4]",
-    "2429": "[0, 5, 6, 4, 1, 3, 2]",
-    "2430": "[1, 5, 6, 4, 2, 3, 0]",
-    "2431": "[2, 5, 6, 4, 0, 3, 1]",
-    "2432": "[3, 6, 1, 5, 2, 4, 0]",
-    "2433": "[4, 0, 2, 6, 3, 5, 1]",
-    "2434": "[5, 1, 3, 0, 4, 6, 2]",
-    "2435": "[6, 0, 2, 5, 3, 4, 1]",
-    "2436": "[0, 2, 1, 6, 5, 3, 4]",
-    "2437": "[1, 0, 2, 6, 5, 3, 4]",
-    "2438": "[2, 1, 0, 6, 5, 3, 4]",
-    "2439": "[3, 0, 2, 1, 6, 4, 5]",
-    "2440": "[4, 1, 3, 2, 0, 5, 6]",
-    "2441": "[5, 2, 4, 3, 1, 6, 0]",
-    "2442": "[6, 1, 3, 2, 0, 4, 5]",
-    "2443": "[0, 5, 2, 4, 3, 1, 6]",
-    "2444": "[1, 5, 0, 4, 3, 2, 6]",
-    "2445": "[2, 5, 1, 4, 3, 0, 6]",
-    "2446": "[3, 6, 0, 5, 4, 2, 1]",
-    "2447": "[4, 0, 1, 6, 5, 3, 2]",
-    "2448": "[5, 1, 2, 0, 6, 4, 3]",
-    "2449": "[6, 0, 1, 5, 4, 3, 2]",
-    "2450": "[0, 6, 3, 5, 4, 1, 2]",
-    "2451": "[1, 6, 3, 5, 4, 2, 0]",
-    "2452": "[2, 6, 3, 5, 4, 0, 1]",
-    "2453": "[3, 1, 4, 6, 5, 2, 0]",
-    "2454": "[4, 2, 5, 0, 6, 3, 1]",
-    "2455": "[5, 3, 6, 1, 0, 4, 2]",
-    "2456": "[6, 2, 4, 0, 5, 3, 1]",
-    "2457": "[0, 2, 4, 6, 5, 1, 3]",
-    "2458": "[1, 0, 4, 6, 5, 2, 3]",
-    "2459": "[2, 1, 4, 6, 5, 0, 3]",
-    "2460": "[3, 0, 5, 1, 6, 2, 4]",
-    "2461": "[4, 1, 6, 2, 0, 3, 5]",
-    "2462": "[5, 2, 0, 3, 1, 4, 6]",
-    "2463": "[6, 1, 5, 2, 0, 3, 4]",
-    "2464": "[0, 3, 5, 2, 6, 1, 4]",
-    "2465": "[1, 3, 5, 0, 6, 2, 4]",
-    "2466": "[2, 3, 5, 1, 6, 0, 4]",
-    "2467": "[3, 4, 6, 0, 1, 2, 5]",
-    "2468": "[4, 5, 0, 1, 2, 3, 6]",
-    "2469": "[5, 6, 1, 2, 3, 4, 0]",
-    "2470": "[6, 4, 0, 1, 2, 3, 5]",
-    "2471": "[0, 2, 6, 5, 4, 1, 3]",
-    "2472": "[1, 0, 6, 5, 4, 2, 3]",
-    "2473": "[2, 1, 6, 5, 4, 0, 3]",
-    "2474": "[3, 0, 1, 6, 5, 2, 4]",
-    "2475": "[4, 1, 2, 0, 6, 3, 5]",
-    "2476": "[5, 2, 3, 1, 0, 4, 6]",
-    "2477": "[6, 1, 2, 0, 5, 3, 4]",
-    "2478": "[0, 4, 1, 5, 3, 2, 6]",
-    "2479": "[1, 4, 2, 5, 3, 0, 6]",
-    "2480": "[2, 4, 0, 5, 3, 1, 6]",
-    "2481": "[3, 5, 2, 6, 4, 0, 1]",
-    "2482": "[4, 6, 3, 0, 5, 1, 2]",
-    "2483": "[5, 0, 4, 1, 6, 2, 3]",
-    "2484": "[6, 5, 3, 0, 4, 1, 2]",
-    "2485": "[0, 6, 2, 3, 1, 5, 4]",
-    "2486": "[1, 6, 0, 3, 2, 5, 4]",
-    "2487": "[2, 6, 1, 3, 0, 5, 4]",
-    "2488": "[3, 1, 0, 4, 2, 6, 5]",
-    "2489": "[4, 2, 1, 5, 3, 0, 6]",
-    "2490": "[5, 3, 2, 6, 4, 1, 0]",
-    "2491": "[6, 2, 1, 4, 3, 0, 5]",
-    "2492": "[0, 2, 3, 4, 1, 6, 5]",
-    "2493": "[1, 0, 3, 4, 2, 6, 5]",
-    "2494": "[2, 1, 3, 4, 0, 6, 5]",
-    "2495": "[3, 0, 4, 5, 2, 1, 6]",
-    "2496": "[4, 1, 5, 6, 3, 2, 0]",
-    "2497": "[5, 2, 6, 0, 4, 3, 1]",
-    "2498": "[6, 1, 4, 5, 3, 2, 0]",
-    "2499": "[0, 3, 4, 5, 1, 2, 6]",
-    "2500": "[1, 3, 4, 5, 2, 0, 6]",
-    "2501": "[2, 3, 4, 5, 0, 1, 6]",
-    "2502": "[3, 4, 5, 6, 2, 0, 1]",
-    "2503": "[4, 5, 6, 0, 3, 1, 2]",
-    "2504": "[5, 6, 0, 1, 4, 2, 3]",
-    "2505": "[6, 4, 5, 0, 3, 1, 2]",
-    "2506": "[0, 4, 5, 6, 1, 3, 2]",
-    "2507": "[1, 4, 5, 6, 2, 3, 0]",
-    "2508": "[2, 4, 5, 6, 0, 3, 1]",
-    "2509": "[3, 5, 6, 1, 2, 4, 0]",
-    "2510": "[4, 6, 0, 2, 3, 5, 1]",
-    "2511": "[5, 0, 1, 3, 4, 6, 2]",
-    "2512": "[6, 5, 0, 2, 3, 4, 1]",
-    "2513": "[0, 3, 6, 4, 1, 2, 5]",
-    "2514": "[1, 3, 6, 4, 2, 0, 5]",
-    "2515": "[2, 3, 6, 4, 0, 1, 5]",
-    "2516": "[3, 4, 1, 5, 2, 0, 6]",
-    "2517": "[4, 5, 2, 6, 3, 1, 0]",
-    "2518": "[5, 6, 3, 0, 4, 2, 1]",
-    "2519": "[6, 4, 2, 5, 3, 1, 0]"
+  "0": "[0, 3, 1, 5, 6, 2, 4]",
+  "1": "[1, 3, 2, 5, 6, 0, 4]",
+  "2": "[2, 3, 0, 5, 6, 1, 4]",
+  "3": "[3, 4, 2, 6, 1, 0, 5]",
+  "4": "[4, 5, 3, 0, 2, 1, 6]",
+  "5": "[5, 6, 4, 1, 3, 2, 0]",
+  "6": "[6, 4, 3, 0, 2, 1, 5]",
+  "7": "[0, 1, 2, 3, 4, 5, 6]",
+  "8": "[1, 2, 0, 3, 4, 5, 6]",
+  "9": "[2, 0, 1, 3, 4, 5, 6]",
+  "10": "[3, 2, 0, 4, 5, 6, 1]",
+  "11": "[4, 3, 1, 5, 6, 0, 2]",
+  "12": "[5, 4, 2, 6, 0, 1, 3]",
+  "13": "[6, 3, 1, 4, 5, 0, 2]",
+  "14": "[0, 1, 3, 4, 5, 6, 2]",
+  "15": "[1, 2, 3, 4, 5, 6, 0]",
+  "16": "[2, 0, 3, 4, 5, 6, 1]",
+  "17": "[3, 2, 4, 5, 6, 1, 0]",
+  "18": "[4, 3, 5, 6, 0, 2, 1]",
+  "19": "[5, 4, 6, 0, 1, 3, 2]",
+  "20": "[6, 3, 4, 5, 0, 2, 1]",
+  "21": "[0, 1, 4, 5, 6, 2, 3]",
+  "22": "[1, 2, 4, 5, 6, 0, 3]",
+  "23": "[2, 0, 4, 5, 6, 1, 3]",
+  "24": "[3, 2, 5, 6, 1, 0, 4]",
+  "25": "[4, 3, 6, 0, 2, 1, 5]",
+  "26": "[5, 4, 0, 1, 3, 2, 6]",
+  "27": "[6, 3, 5, 0, 2, 1, 4]",
+  "28": "[0, 1, 5, 6, 2, 3, 4]",
+  "29": "[1, 2, 5, 6, 0, 3, 4]",
+  "30": "[2, 0, 5, 6, 1, 3, 4]",
+  "31": "[3, 2, 6, 1, 0, 4, 5]",
+  "32": "[4, 3, 0, 2, 1, 5, 6]",
+  "33": "[5, 4, 1, 3, 2, 6, 0]",
+  "34": "[6, 3, 0, 2, 1, 4, 5]",
+  "35": "[0, 1, 6, 4, 5, 2, 3]",
+  "36": "[1, 2, 6, 4, 5, 0, 3]",
+  "37": "[2, 0, 6, 4, 5, 1, 3]",
+  "38": "[3, 2, 1, 5, 6, 0, 4]",
+  "39": "[4, 3, 2, 6, 0, 1, 5]",
+  "40": "[5, 4, 3, 0, 1, 2, 6]",
+  "41": "[6, 3, 2, 5, 0, 1, 4]",
+  "42": "[0, 5, 1, 6, 2, 4, 3]",
+  "43": "[1, 5, 2, 6, 0, 4, 3]",
+  "44": "[2, 5, 0, 6, 1, 4, 3]",
+  "45": "[3, 6, 2, 1, 0, 5, 4]",
+  "46": "[4, 0, 3, 2, 1, 6, 5]",
+  "47": "[5, 1, 4, 3, 2, 0, 6]",
+  "48": "[6, 0, 3, 2, 1, 5, 4]",
+  "49": "[0, 3, 2, 4, 5, 6, 1]",
+  "50": "[1, 3, 0, 4, 5, 6, 2]",
+  "51": "[2, 3, 1, 4, 5, 6, 0]",
+  "52": "[3, 4, 0, 5, 6, 1, 2]",
+  "53": "[4, 5, 1, 6, 0, 2, 3]",
+  "54": "[5, 6, 2, 0, 1, 3, 4]",
+  "55": "[6, 4, 1, 5, 0, 2, 3]",
+  "56": "[0, 4, 3, 5, 6, 2, 1]",
+  "57": "[1, 4, 3, 5, 6, 0, 2]",
+  "58": "[2, 4, 3, 5, 6, 1, 0]",
+  "59": "[3, 5, 4, 6, 1, 0, 2]",
+  "60": "[4, 6, 5, 0, 2, 1, 3]",
+  "61": "[5, 0, 6, 1, 3, 2, 4]",
+  "62": "[6, 5, 4, 0, 2, 1, 3]",
+  "63": "[0, 5, 4, 6, 2, 3, 1]",
+  "64": "[1, 5, 4, 6, 0, 3, 2]",
+  "65": "[2, 5, 4, 6, 1, 3, 0]",
+  "66": "[3, 6, 5, 1, 0, 4, 2]",
+  "67": "[4, 0, 6, 2, 1, 5, 3]",
+  "68": "[5, 1, 0, 3, 2, 6, 4]",
+  "69": "[6, 0, 5, 2, 1, 4, 3]",
+  "70": "[0, 6, 5, 2, 3, 4, 1]",
+  "71": "[1, 6, 5, 0, 3, 4, 2]",
+  "72": "[2, 6, 5, 1, 3, 4, 0]",
+  "73": "[3, 1, 6, 0, 4, 5, 2]",
+  "74": "[4, 2, 0, 1, 5, 6, 3]",
+  "75": "[5, 3, 1, 2, 6, 0, 4]",
+  "76": "[6, 2, 0, 1, 4, 5, 3]",
+  "77": "[0, 4, 6, 5, 2, 3, 1]",
+  "78": "[1, 4, 6, 5, 0, 3, 2]",
+  "79": "[2, 4, 6, 5, 1, 3, 0]",
+  "80": "[3, 5, 1, 6, 0, 4, 2]",
+  "81": "[4, 6, 2, 0, 1, 5, 3]",
+  "82": "[5, 0, 3, 1, 2, 6, 4]",
+  "83": "[6, 5, 2, 0, 1, 4, 3]",
+  "84": "[0, 6, 1, 2, 4, 3, 5]",
+  "85": "[1, 6, 2, 0, 4, 3, 5]",
+  "86": "[2, 6, 0, 1, 4, 3, 5]",
+  "87": "[3, 1, 2, 0, 5, 4, 6]",
+  "88": "[4, 2, 3, 1, 6, 5, 0]",
+  "89": "[5, 3, 4, 2, 0, 6, 1]",
+  "90": "[6, 2, 3, 1, 5, 4, 0]",
+  "91": "[0, 4, 2, 5, 6, 1, 3]",
+  "92": "[1, 4, 0, 5, 6, 2, 3]",
+  "93": "[2, 4, 1, 5, 6, 0, 3]",
+  "94": "[3, 5, 0, 6, 1, 2, 4]",
+  "95": "[4, 6, 1, 0, 2, 3, 5]",
+  "96": "[5, 0, 2, 1, 3, 4, 6]",
+  "97": "[6, 5, 1, 0, 2, 3, 4]",
+  "98": "[0, 5, 3, 6, 2, 1, 4]",
+  "99": "[1, 5, 3, 6, 0, 2, 4]",
+  "100": "[2, 5, 3, 6, 1, 0, 4]",
+  "101": "[3, 6, 4, 1, 0, 2, 5]",
+  "102": "[4, 0, 5, 2, 1, 3, 6]",
+  "103": "[5, 1, 6, 3, 2, 4, 0]",
+  "104": "[6, 0, 4, 2, 1, 3, 5]",
+  "105": "[0, 6, 4, 2, 3, 1, 5]",
+  "106": "[1, 6, 4, 0, 3, 2, 5]",
+  "107": "[2, 6, 4, 1, 3, 0, 5]",
+  "108": "[3, 1, 5, 0, 4, 2, 6]",
+  "109": "[4, 2, 6, 1, 5, 3, 0]",
+  "110": "[5, 3, 0, 2, 6, 4, 1]",
+  "111": "[6, 2, 5, 1, 4, 3, 0]",
+  "112": "[0, 2, 5, 3, 4, 1, 6]",
+  "113": "[1, 0, 5, 3, 4, 2, 6]",
+  "114": "[2, 1, 5, 3, 4, 0, 6]",
+  "115": "[3, 0, 6, 4, 5, 2, 1]",
+  "116": "[4, 1, 0, 5, 6, 3, 2]",
+  "117": "[5, 2, 1, 6, 0, 4, 3]",
+  "118": "[6, 1, 0, 4, 5, 3, 2]",
+  "119": "[0, 5, 6, 2, 3, 1, 4]",
+  "120": "[1, 5, 6, 0, 3, 2, 4]",
+  "121": "[2, 5, 6, 1, 3, 0, 4]",
+  "122": "[3, 6, 1, 0, 4, 2, 5]",
+  "123": "[4, 0, 2, 1, 5, 3, 6]",
+  "124": "[5, 1, 3, 2, 6, 4, 0]",
+  "125": "[6, 0, 2, 1, 4, 3, 5]",
+  "126": "[0, 2, 1, 4, 3, 5, 6]",
+  "127": "[1, 0, 2, 4, 3, 5, 6]",
+  "128": "[2, 1, 0, 4, 3, 5, 6]",
+  "129": "[3, 0, 2, 5, 4, 6, 1]",
+  "130": "[4, 1, 3, 6, 5, 0, 2]",
+  "131": "[5, 2, 4, 0, 6, 1, 3]",
+  "132": "[6, 1, 3, 5, 4, 0, 2]",
+  "133": "[0, 5, 2, 6, 1, 3, 4]",
+  "134": "[1, 5, 0, 6, 2, 3, 4]",
+  "135": "[2, 5, 1, 6, 0, 3, 4]",
+  "136": "[3, 6, 0, 1, 2, 4, 5]",
+  "137": "[4, 0, 1, 2, 3, 5, 6]",
+  "138": "[5, 1, 2, 3, 4, 6, 0]",
+  "139": "[6, 0, 1, 2, 3, 4, 5]",
+  "140": "[0, 6, 3, 2, 1, 4, 5]",
+  "141": "[1, 6, 3, 0, 2, 4, 5]",
+  "142": "[2, 6, 3, 1, 0, 4, 5]",
+  "143": "[3, 1, 4, 0, 2, 5, 6]",
+  "144": "[4, 2, 5, 1, 3, 6, 0]",
+  "145": "[5, 3, 6, 2, 4, 0, 1]",
+  "146": "[6, 2, 4, 1, 3, 5, 0]",
+  "147": "[0, 2, 4, 3, 1, 5, 6]",
+  "148": "[1, 0, 4, 3, 2, 5, 6]",
+  "149": "[2, 1, 4, 3, 0, 5, 6]",
+  "150": "[3, 0, 5, 4, 2, 6, 1]",
+  "151": "[4, 1, 6, 5, 3, 0, 2]",
+  "152": "[5, 2, 0, 6, 4, 1, 3]",
+  "153": "[6, 1, 5, 4, 3, 0, 2]",
+  "154": "[0, 3, 5, 4, 1, 6, 2]",
+  "155": "[1, 3, 5, 4, 2, 6, 0]",
+  "156": "[2, 3, 5, 4, 0, 6, 1]",
+  "157": "[3, 4, 6, 5, 2, 1, 0]",
+  "158": "[4, 5, 0, 6, 3, 2, 1]",
+  "159": "[5, 6, 1, 0, 4, 3, 2]",
+  "160": "[6, 4, 0, 5, 3, 2, 1]",
+  "161": "[0, 2, 6, 3, 1, 4, 5]",
+  "162": "[1, 0, 6, 3, 2, 4, 5]",
+  "163": "[2, 1, 6, 3, 0, 4, 5]",
+  "164": "[3, 0, 1, 4, 2, 5, 6]",
+  "165": "[4, 1, 2, 5, 3, 6, 0]",
+  "166": "[5, 2, 3, 6, 4, 0, 1]",
+  "167": "[6, 1, 2, 4, 3, 5, 0]",
+  "168": "[0, 4, 1, 6, 2, 3, 5]",
+  "169": "[1, 4, 2, 6, 0, 3, 5]",
+  "170": "[2, 4, 0, 6, 1, 3, 5]",
+  "171": "[3, 5, 2, 1, 0, 4, 6]",
+  "172": "[4, 6, 3, 2, 1, 5, 0]",
+  "173": "[5, 0, 4, 3, 2, 6, 1]",
+  "174": "[6, 5, 3, 2, 1, 4, 0]",
+  "175": "[0, 6, 2, 4, 5, 1, 3]",
+  "176": "[1, 6, 0, 4, 5, 2, 3]",
+  "177": "[2, 6, 1, 4, 5, 0, 3]",
+  "178": "[3, 1, 0, 5, 6, 2, 4]",
+  "179": "[4, 2, 1, 6, 0, 3, 5]",
+  "180": "[5, 3, 2, 0, 1, 4, 6]",
+  "181": "[6, 2, 1, 5, 0, 3, 4]",
+  "182": "[0, 2, 3, 5, 6, 1, 4]",
+  "183": "[1, 0, 3, 5, 6, 2, 4]",
+  "184": "[2, 1, 3, 5, 6, 0, 4]",
+  "185": "[3, 0, 4, 6, 1, 2, 5]",
+  "186": "[4, 1, 5, 0, 2, 3, 6]",
+  "187": "[5, 2, 6, 1, 3, 4, 0]",
+  "188": "[6, 1, 4, 0, 2, 3, 5]",
+  "189": "[0, 3, 4, 6, 2, 1, 5]",
+  "190": "[1, 3, 4, 6, 0, 2, 5]",
+  "191": "[2, 3, 4, 6, 1, 0, 5]",
+  "192": "[3, 4, 5, 1, 0, 2, 6]",
+  "193": "[4, 5, 6, 2, 1, 3, 0]",
+  "194": "[5, 6, 0, 3, 2, 4, 1]",
+  "195": "[6, 4, 5, 2, 1, 3, 0]",
+  "196": "[0, 4, 5, 2, 3, 1, 6]",
+  "197": "[1, 4, 5, 0, 3, 2, 6]",
+  "198": "[2, 4, 5, 1, 3, 0, 6]",
+  "199": "[3, 5, 6, 0, 4, 2, 1]",
+  "200": "[4, 6, 0, 1, 5, 3, 2]",
+  "201": "[5, 0, 1, 2, 6, 4, 3]",
+  "202": "[6, 5, 0, 1, 4, 3, 2]",
+  "203": "[0, 3, 6, 5, 2, 1, 4]",
+  "204": "[1, 3, 6, 5, 0, 2, 4]",
+  "205": "[2, 3, 6, 5, 1, 0, 4]",
+  "206": "[3, 4, 1, 6, 0, 2, 5]",
+  "207": "[4, 5, 2, 0, 1, 3, 6]",
+  "208": "[5, 6, 3, 1, 2, 4, 0]",
+  "209": "[6, 4, 2, 0, 1, 3, 5]",
+  "210": "[0, 3, 1, 6, 2, 5, 4]",
+  "211": "[1, 3, 2, 6, 0, 5, 4]",
+  "212": "[2, 3, 0, 6, 1, 5, 4]",
+  "213": "[3, 4, 2, 1, 0, 6, 5]",
+  "214": "[4, 5, 3, 2, 1, 0, 6]",
+  "215": "[5, 6, 4, 3, 2, 1, 0]",
+  "216": "[6, 4, 3, 2, 1, 0, 5]",
+  "217": "[0, 1, 2, 4, 5, 3, 6]",
+  "218": "[1, 2, 0, 4, 5, 3, 6]",
+  "219": "[2, 0, 1, 4, 5, 3, 6]",
+  "220": "[3, 2, 0, 5, 6, 4, 1]",
+  "221": "[4, 3, 1, 6, 0, 5, 2]",
+  "222": "[5, 4, 2, 0, 1, 6, 3]",
+  "223": "[6, 3, 1, 5, 0, 4, 2]",
+  "224": "[0, 1, 3, 5, 6, 4, 2]",
+  "225": "[1, 2, 3, 5, 6, 4, 0]",
+  "226": "[2, 0, 3, 5, 6, 4, 1]",
+  "227": "[3, 2, 4, 6, 1, 5, 0]",
+  "228": "[4, 3, 5, 0, 2, 6, 1]",
+  "229": "[5, 4, 6, 1, 3, 0, 2]",
+  "230": "[6, 3, 4, 0, 2, 5, 1]",
+  "231": "[0, 1, 4, 6, 2, 5, 3]",
+  "232": "[1, 2, 4, 6, 0, 5, 3]",
+  "233": "[2, 0, 4, 6, 1, 5, 3]",
+  "234": "[3, 2, 5, 1, 0, 6, 4]",
+  "235": "[4, 3, 6, 2, 1, 0, 5]",
+  "236": "[5, 4, 0, 3, 2, 1, 6]",
+  "237": "[6, 3, 5, 2, 1, 0, 4]",
+  "238": "[0, 1, 5, 2, 3, 6, 4]",
+  "239": "[1, 2, 5, 0, 3, 6, 4]",
+  "240": "[2, 0, 5, 1, 3, 6, 4]",
+  "241": "[3, 2, 6, 0, 4, 1, 5]",
+  "242": "[4, 3, 0, 1, 5, 2, 6]",
+  "243": "[5, 4, 1, 2, 6, 3, 0]",
+  "244": "[6, 3, 0, 1, 4, 2, 5]",
+  "245": "[0, 1, 6, 5, 2, 4, 3]",
+  "246": "[1, 2, 6, 5, 0, 4, 3]",
+  "247": "[2, 0, 6, 5, 1, 4, 3]",
+  "248": "[3, 2, 1, 6, 0, 5, 4]",
+  "249": "[4, 3, 2, 0, 1, 6, 5]",
+  "250": "[5, 4, 3, 1, 2, 0, 6]",
+  "251": "[6, 3, 2, 0, 1, 5, 4]",
+  "252": "[0, 5, 1, 2, 4, 6, 3]",
+  "253": "[1, 5, 2, 0, 4, 6, 3]",
+  "254": "[2, 5, 0, 1, 4, 6, 3]",
+  "255": "[3, 6, 2, 0, 5, 1, 4]",
+  "256": "[4, 0, 3, 1, 6, 2, 5]",
+  "257": "[5, 1, 4, 2, 0, 3, 6]",
+  "258": "[6, 0, 3, 1, 5, 2, 4]",
+  "259": "[0, 3, 2, 5, 6, 4, 1]",
+  "260": "[1, 3, 0, 5, 6, 4, 2]",
+  "261": "[2, 3, 1, 5, 6, 4, 0]",
+  "262": "[3, 4, 0, 6, 1, 5, 2]",
+  "263": "[4, 5, 1, 0, 2, 6, 3]",
+  "264": "[5, 6, 2, 1, 3, 0, 4]",
+  "265": "[6, 4, 1, 0, 2, 5, 3]",
+  "266": "[0, 4, 3, 6, 2, 5, 1]",
+  "267": "[1, 4, 3, 6, 0, 5, 2]",
+  "268": "[2, 4, 3, 6, 1, 5, 0]",
+  "269": "[3, 5, 4, 1, 0, 6, 2]",
+  "270": "[4, 6, 5, 2, 1, 0, 3]",
+  "271": "[5, 0, 6, 3, 2, 1, 4]",
+  "272": "[6, 5, 4, 2, 1, 0, 3]",
+  "273": "[0, 5, 4, 2, 3, 6, 1]",
+  "274": "[1, 5, 4, 0, 3, 6, 2]",
+  "275": "[2, 5, 4, 1, 3, 6, 0]",
+  "276": "[3, 6, 5, 0, 4, 1, 2]",
+  "277": "[4, 0, 6, 1, 5, 2, 3]",
+  "278": "[5, 1, 0, 2, 6, 3, 4]",
+  "279": "[6, 0, 5, 1, 4, 2, 3]",
+  "280": "[0, 6, 5, 3, 4, 2, 1]",
+  "281": "[1, 6, 5, 3, 4, 0, 2]",
+  "282": "[2, 6, 5, 3, 4, 1, 0]",
+  "283": "[3, 1, 6, 4, 5, 0, 2]",
+  "284": "[4, 2, 0, 5, 6, 1, 3]",
+  "285": "[5, 3, 1, 6, 0, 2, 4]",
+  "286": "[6, 2, 0, 4, 5, 1, 3]",
+  "287": "[0, 4, 6, 2, 3, 5, 1]",
+  "288": "[1, 4, 6, 0, 3, 5, 2]",
+  "289": "[2, 4, 6, 1, 3, 5, 0]",
+  "290": "[3, 5, 1, 0, 4, 6, 2]",
+  "291": "[4, 6, 2, 1, 5, 0, 3]",
+  "292": "[5, 0, 3, 2, 6, 1, 4]",
+  "293": "[6, 5, 2, 1, 4, 0, 3]",
+  "294": "[0, 6, 1, 4, 3, 2, 5]",
+  "295": "[1, 6, 2, 4, 3, 0, 5]",
+  "296": "[2, 6, 0, 4, 3, 1, 5]",
+  "297": "[3, 1, 2, 5, 4, 0, 6]",
+  "298": "[4, 2, 3, 6, 5, 1, 0]",
+  "299": "[5, 3, 4, 0, 6, 2, 1]",
+  "300": "[6, 2, 3, 5, 4, 1, 0]",
+  "301": "[0, 4, 2, 6, 1, 5, 3]",
+  "302": "[1, 4, 0, 6, 2, 5, 3]",
+  "303": "[2, 4, 1, 6, 0, 5, 3]",
+  "304": "[3, 5, 0, 1, 2, 6, 4]",
+  "305": "[4, 6, 1, 2, 3, 0, 5]",
+  "306": "[5, 0, 2, 3, 4, 1, 6]",
+  "307": "[6, 5, 1, 2, 3, 0, 4]",
+  "308": "[0, 5, 3, 2, 1, 6, 4]",
+  "309": "[1, 5, 3, 0, 2, 6, 4]",
+  "310": "[2, 5, 3, 1, 0, 6, 4]",
+  "311": "[3, 6, 4, 0, 2, 1, 5]",
+  "312": "[4, 0, 5, 1, 3, 2, 6]",
+  "313": "[5, 1, 6, 2, 4, 3, 0]",
+  "314": "[6, 0, 4, 1, 3, 2, 5]",
+  "315": "[0, 6, 4, 3, 1, 2, 5]",
+  "316": "[1, 6, 4, 3, 2, 0, 5]",
+  "317": "[2, 6, 4, 3, 0, 1, 5]",
+  "318": "[3, 1, 5, 4, 2, 0, 6]",
+  "319": "[4, 2, 6, 5, 3, 1, 0]",
+  "320": "[5, 3, 0, 6, 4, 2, 1]",
+  "321": "[6, 2, 5, 4, 3, 1, 0]",
+  "322": "[0, 2, 5, 4, 1, 3, 6]",
+  "323": "[1, 0, 5, 4, 2, 3, 6]",
+  "324": "[2, 1, 5, 4, 0, 3, 6]",
+  "325": "[3, 0, 6, 5, 2, 4, 1]",
+  "326": "[4, 1, 0, 6, 3, 5, 2]",
+  "327": "[5, 2, 1, 0, 4, 6, 3]",
+  "328": "[6, 1, 0, 5, 3, 4, 2]",
+  "329": "[0, 5, 6, 3, 1, 2, 4]",
+  "330": "[1, 5, 6, 3, 2, 0, 4]",
+  "331": "[2, 5, 6, 3, 0, 1, 4]",
+  "332": "[3, 6, 1, 4, 2, 0, 5]",
+  "333": "[4, 0, 2, 5, 3, 1, 6]",
+  "334": "[5, 1, 3, 6, 4, 2, 0]",
+  "335": "[6, 0, 2, 4, 3, 1, 5]",
+  "336": "[0, 2, 1, 3, 5, 4, 6]",
+  "337": "[1, 0, 2, 3, 5, 4, 6]",
+  "338": "[2, 1, 0, 3, 5, 4, 6]",
+  "339": "[3, 0, 2, 4, 6, 5, 1]",
+  "340": "[4, 1, 3, 5, 0, 6, 2]",
+  "341": "[5, 2, 4, 6, 1, 0, 3]",
+  "342": "[6, 1, 3, 4, 0, 5, 2]",
+  "343": "[0, 5, 2, 1, 3, 6, 4]",
+  "344": "[1, 5, 0, 2, 3, 6, 4]",
+  "345": "[2, 5, 1, 0, 3, 6, 4]",
+  "346": "[3, 6, 0, 2, 4, 1, 5]",
+  "347": "[4, 0, 1, 3, 5, 2, 6]",
+  "348": "[5, 1, 2, 4, 6, 3, 0]",
+  "349": "[6, 0, 1, 3, 4, 2, 5]",
+  "350": "[0, 6, 3, 1, 4, 2, 5]",
+  "351": "[1, 6, 3, 2, 4, 0, 5]",
+  "352": "[2, 6, 3, 0, 4, 1, 5]",
+  "353": "[3, 1, 4, 2, 5, 0, 6]",
+  "354": "[4, 2, 5, 3, 6, 1, 0]",
+  "355": "[5, 3, 6, 4, 0, 2, 1]",
+  "356": "[6, 2, 4, 3, 5, 1, 0]",
+  "357": "[0, 2, 4, 1, 5, 3, 6]",
+  "358": "[1, 0, 4, 2, 5, 3, 6]",
+  "359": "[2, 1, 4, 0, 5, 3, 6]",
+  "360": "[3, 0, 5, 2, 6, 4, 1]",
+  "361": "[4, 1, 6, 3, 0, 5, 2]",
+  "362": "[5, 2, 0, 4, 1, 6, 3]",
+  "363": "[6, 1, 5, 3, 0, 4, 2]",
+  "364": "[0, 3, 5, 1, 6, 4, 2]",
+  "365": "[1, 3, 5, 2, 6, 4, 0]",
+  "366": "[2, 3, 5, 0, 6, 4, 1]",
+  "367": "[3, 4, 6, 2, 1, 5, 0]",
+  "368": "[4, 5, 0, 3, 2, 6, 1]",
+  "369": "[5, 6, 1, 4, 3, 0, 2]",
+  "370": "[6, 4, 0, 3, 2, 5, 1]",
+  "371": "[0, 2, 6, 1, 4, 3, 5]",
+  "372": "[1, 0, 6, 2, 4, 3, 5]",
+  "373": "[2, 1, 6, 0, 4, 3, 5]",
+  "374": "[3, 0, 1, 2, 5, 4, 6]",
+  "375": "[4, 1, 2, 3, 6, 5, 0]",
+  "376": "[5, 2, 3, 4, 0, 6, 1]",
+  "377": "[6, 1, 2, 3, 5, 4, 0]",
+  "378": "[0, 4, 1, 2, 3, 6, 5]",
+  "379": "[1, 4, 2, 0, 3, 6, 5]",
+  "380": "[2, 4, 0, 1, 3, 6, 5]",
+  "381": "[3, 5, 2, 0, 4, 1, 6]",
+  "382": "[4, 6, 3, 1, 5, 2, 0]",
+  "383": "[5, 0, 4, 2, 6, 3, 1]",
+  "384": "[6, 5, 3, 1, 4, 2, 0]",
+  "385": "[0, 6, 2, 5, 1, 4, 3]",
+  "386": "[1, 6, 0, 5, 2, 4, 3]",
+  "387": "[2, 6, 1, 5, 0, 4, 3]",
+  "388": "[3, 1, 0, 6, 2, 5, 4]",
+  "389": "[4, 2, 1, 0, 3, 6, 5]",
+  "390": "[5, 3, 2, 1, 4, 0, 6]",
+  "391": "[6, 2, 1, 0, 3, 5, 4]",
+  "392": "[0, 2, 3, 6, 1, 5, 4]",
+  "393": "[1, 0, 3, 6, 2, 5, 4]",
+  "394": "[2, 1, 3, 6, 0, 5, 4]",
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+  "396": "[4, 1, 5, 2, 3, 0, 6]",
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+  "398": "[6, 1, 4, 2, 3, 0, 5]",
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+  "401": "[2, 3, 4, 1, 0, 6, 5]",
+  "402": "[3, 4, 5, 0, 2, 1, 6]",
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+  "404": "[5, 6, 0, 2, 4, 3, 1]",
+  "405": "[6, 4, 5, 1, 3, 2, 0]",
+  "406": "[0, 4, 5, 3, 1, 2, 6]",
+  "407": "[1, 4, 5, 3, 2, 0, 6]",
+  "408": "[2, 4, 5, 3, 0, 1, 6]",
+  "409": "[3, 5, 6, 4, 2, 0, 1]",
+  "410": "[4, 6, 0, 5, 3, 1, 2]",
+  "411": "[5, 0, 1, 6, 4, 2, 3]",
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+  "417": "[4, 5, 2, 1, 3, 0, 6]",
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+  "419": "[6, 4, 2, 1, 3, 0, 5]",
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+  "432": "[5, 4, 2, 1, 6, 0, 3]",
+  "433": "[6, 3, 1, 0, 4, 5, 2]",
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+  "439": "[5, 4, 6, 3, 0, 1, 2]",
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+  "456": "[1, 2, 6, 0, 4, 5, 3]",
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+  "461": "[6, 3, 2, 1, 5, 0, 4]",
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+  "479": "[3, 5, 4, 0, 6, 1, 2]",
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+  "482": "[6, 5, 4, 1, 0, 2, 3]",
+  "483": "[0, 5, 4, 3, 6, 2, 1]",
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+  "506": "[2, 6, 0, 3, 1, 4, 5]",
+  "507": "[3, 1, 2, 4, 0, 5, 6]",
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+  "643": "[6, 3, 1, 2, 5, 4, 0]",
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+  "654": "[3, 2, 5, 4, 1, 6, 0]",
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+  "661": "[3, 2, 6, 5, 0, 1, 4]",
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+  "695": "[2, 5, 4, 0, 1, 6, 3]",
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+  "712": "[5, 0, 3, 4, 2, 1, 6]",
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+  "717": "[3, 1, 2, 6, 5, 0, 4]",
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+  "725": "[4, 6, 1, 5, 2, 0, 3]",
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+  "729": "[1, 5, 3, 4, 0, 6, 2]",
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+  "1781": "[3, 6, 4, 1, 5, 0, 2]",
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+  "1796": "[4, 1, 0, 5, 2, 6, 3]",
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+  "1798": "[6, 1, 0, 4, 2, 5, 3]",
+  "1799": "[0, 5, 6, 2, 4, 3, 1]",
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+  "1801": "[2, 5, 6, 1, 4, 3, 0]",
+  "1802": "[3, 6, 1, 0, 5, 4, 2]",
+  "1803": "[4, 0, 2, 1, 6, 5, 3]",
+  "1804": "[5, 1, 3, 2, 0, 6, 4]",
+  "1805": "[6, 0, 2, 1, 5, 4, 3]",
+  "1806": "[0, 2, 1, 4, 6, 3, 5]",
+  "1807": "[1, 0, 2, 4, 6, 3, 5]",
+  "1808": "[2, 1, 0, 4, 6, 3, 5]",
+  "1809": "[3, 0, 2, 5, 1, 4, 6]",
+  "1810": "[4, 1, 3, 6, 2, 5, 0]",
+  "1811": "[5, 2, 4, 0, 3, 6, 1]",
+  "1812": "[6, 1, 3, 5, 2, 4, 0]",
+  "1813": "[0, 5, 2, 6, 4, 1, 3]",
+  "1814": "[1, 5, 0, 6, 4, 2, 3]",
+  "1815": "[2, 5, 1, 6, 4, 0, 3]",
+  "1816": "[3, 6, 0, 1, 5, 2, 4]",
+  "1817": "[4, 0, 1, 2, 6, 3, 5]",
+  "1818": "[5, 1, 2, 3, 0, 4, 6]",
+  "1819": "[6, 0, 1, 2, 5, 3, 4]",
+  "1820": "[0, 6, 3, 2, 5, 1, 4]",
+  "1821": "[1, 6, 3, 0, 5, 2, 4]",
+  "1822": "[2, 6, 3, 1, 5, 0, 4]",
+  "1823": "[3, 1, 4, 0, 6, 2, 5]",
+  "1824": "[4, 2, 5, 1, 0, 3, 6]",
+  "1825": "[5, 3, 6, 2, 1, 4, 0]",
+  "1826": "[6, 2, 4, 1, 0, 3, 5]",
+  "1827": "[0, 2, 4, 3, 6, 1, 5]",
+  "1828": "[1, 0, 4, 3, 6, 2, 5]",
+  "1829": "[2, 1, 4, 3, 6, 0, 5]",
+  "1830": "[3, 0, 5, 4, 1, 2, 6]",
+  "1831": "[4, 1, 6, 5, 2, 3, 0]",
+  "1832": "[5, 2, 0, 6, 3, 4, 1]",
+  "1833": "[6, 1, 5, 4, 2, 3, 0]",
+  "1834": "[0, 3, 5, 4, 2, 1, 6]",
+  "1835": "[1, 3, 5, 4, 0, 2, 6]",
+  "1836": "[2, 3, 5, 4, 1, 0, 6]",
+  "1837": "[3, 4, 6, 5, 0, 2, 1]",
+  "1838": "[4, 5, 0, 6, 1, 3, 2]",
+  "1839": "[5, 6, 1, 0, 2, 4, 3]",
+  "1840": "[6, 4, 0, 5, 1, 3, 2]",
+  "1841": "[0, 2, 6, 3, 5, 1, 4]",
+  "1842": "[1, 0, 6, 3, 5, 2, 4]",
+  "1843": "[2, 1, 6, 3, 5, 0, 4]",
+  "1844": "[3, 0, 1, 4, 6, 2, 5]",
+  "1845": "[4, 1, 2, 5, 0, 3, 6]",
+  "1846": "[5, 2, 3, 6, 1, 4, 0]",
+  "1847": "[6, 1, 2, 4, 0, 3, 5]",
+  "1848": "[0, 4, 1, 6, 5, 2, 3]",
+  "1849": "[1, 4, 2, 6, 5, 0, 3]",
+  "1850": "[2, 4, 0, 6, 5, 1, 3]",
+  "1851": "[3, 5, 2, 1, 6, 0, 4]",
+  "1852": "[4, 6, 3, 2, 0, 1, 5]",
+  "1853": "[5, 0, 4, 3, 1, 2, 6]",
+  "1854": "[6, 5, 3, 2, 0, 1, 4]",
+  "1855": "[0, 6, 2, 4, 3, 5, 1]",
+  "1856": "[1, 6, 0, 4, 3, 5, 2]",
+  "1857": "[2, 6, 1, 4, 3, 5, 0]",
+  "1858": "[3, 1, 0, 5, 4, 6, 2]",
+  "1859": "[4, 2, 1, 6, 5, 0, 3]",
+  "1860": "[5, 3, 2, 0, 6, 1, 4]",
+  "1861": "[6, 2, 1, 5, 4, 0, 3]",
+  "1862": "[0, 2, 3, 5, 4, 6, 1]",
+  "1863": "[1, 0, 3, 5, 4, 6, 2]",
+  "1864": "[2, 1, 3, 5, 4, 6, 0]",
+  "1865": "[3, 0, 4, 6, 5, 1, 2]",
+  "1866": "[4, 1, 5, 0, 6, 2, 3]",
+  "1867": "[5, 2, 6, 1, 0, 3, 4]",
+  "1868": "[6, 1, 4, 0, 5, 2, 3]",
+  "1869": "[0, 3, 4, 6, 5, 2, 1]",
+  "1870": "[1, 3, 4, 6, 5, 0, 2]",
+  "1871": "[2, 3, 4, 6, 5, 1, 0]",
+  "1872": "[3, 4, 5, 1, 6, 0, 2]",
+  "1873": "[4, 5, 6, 2, 0, 1, 3]",
+  "1874": "[5, 6, 0, 3, 1, 2, 4]",
+  "1875": "[6, 4, 5, 2, 0, 1, 3]",
+  "1876": "[0, 4, 5, 2, 6, 3, 1]",
+  "1877": "[1, 4, 5, 0, 6, 3, 2]",
+  "1878": "[2, 4, 5, 1, 6, 3, 0]",
+  "1879": "[3, 5, 6, 0, 1, 4, 2]",
+  "1880": "[4, 6, 0, 1, 2, 5, 3]",
+  "1881": "[5, 0, 1, 2, 3, 6, 4]",
+  "1882": "[6, 5, 0, 1, 2, 4, 3]",
+  "1883": "[0, 3, 6, 5, 4, 2, 1]",
+  "1884": "[1, 3, 6, 5, 4, 0, 2]",
+  "1885": "[2, 3, 6, 5, 4, 1, 0]",
+  "1886": "[3, 4, 1, 6, 5, 0, 2]",
+  "1887": "[4, 5, 2, 0, 6, 1, 3]",
+  "1888": "[5, 6, 3, 1, 0, 2, 4]",
+  "1889": "[6, 4, 2, 0, 5, 1, 3]",
+  "1890": "[0, 3, 1, 6, 4, 2, 5]",
+  "1891": "[1, 3, 2, 6, 4, 0, 5]",
+  "1892": "[2, 3, 0, 6, 4, 1, 5]",
+  "1893": "[3, 4, 2, 1, 5, 0, 6]",
+  "1894": "[4, 5, 3, 2, 6, 1, 0]",
+  "1895": "[5, 6, 4, 3, 0, 2, 1]",
+  "1896": "[6, 4, 3, 2, 5, 1, 0]",
+  "1897": "[0, 1, 2, 4, 6, 5, 3]",
+  "1898": "[1, 2, 0, 4, 6, 5, 3]",
+  "1899": "[2, 0, 1, 4, 6, 5, 3]",
+  "1900": "[3, 2, 0, 5, 1, 6, 4]",
+  "1901": "[4, 3, 1, 6, 2, 0, 5]",
+  "1902": "[5, 4, 2, 0, 3, 1, 6]",
+  "1903": "[6, 3, 1, 5, 2, 0, 4]",
+  "1904": "[0, 1, 3, 5, 2, 6, 4]",
+  "1905": "[1, 2, 3, 5, 0, 6, 4]",
+  "1906": "[2, 0, 3, 5, 1, 6, 4]",
+  "1907": "[3, 2, 4, 6, 0, 1, 5]",
+  "1908": "[4, 3, 5, 0, 1, 2, 6]",
+  "1909": "[5, 4, 6, 1, 2, 3, 0]",
+  "1910": "[6, 3, 4, 0, 1, 2, 5]",
+  "1911": "[0, 1, 4, 6, 3, 2, 5]",
+  "1912": "[1, 2, 4, 6, 3, 0, 5]",
+  "1913": "[2, 0, 4, 6, 3, 1, 5]",
+  "1914": "[3, 2, 5, 1, 4, 0, 6]",
+  "1915": "[4, 3, 6, 2, 5, 1, 0]",
+  "1916": "[5, 4, 0, 3, 6, 2, 1]",
+  "1917": "[6, 3, 5, 2, 4, 1, 0]",
+  "1918": "[0, 1, 5, 2, 4, 3, 6]",
+  "1919": "[1, 2, 5, 0, 4, 3, 6]",
+  "1920": "[2, 0, 5, 1, 4, 3, 6]",
+  "1921": "[3, 2, 6, 0, 5, 4, 1]",
+  "1922": "[4, 3, 0, 1, 6, 5, 2]",
+  "1923": "[5, 4, 1, 2, 0, 6, 3]",
+  "1924": "[6, 3, 0, 1, 5, 4, 2]",
+  "1925": "[0, 1, 6, 5, 3, 2, 4]",
+  "1926": "[1, 2, 6, 5, 3, 0, 4]",
+  "1927": "[2, 0, 6, 5, 3, 1, 4]",
+  "1928": "[3, 2, 1, 6, 4, 0, 5]",
+  "1929": "[4, 3, 2, 0, 5, 1, 6]",
+  "1930": "[5, 4, 3, 1, 6, 2, 0]",
+  "1931": "[6, 3, 2, 0, 4, 1, 5]",
+  "1932": "[0, 5, 1, 2, 3, 4, 6]",
+  "1933": "[1, 5, 2, 0, 3, 4, 6]",
+  "1934": "[2, 5, 0, 1, 3, 4, 6]",
+  "1935": "[3, 6, 2, 0, 4, 5, 1]",
+  "1936": "[4, 0, 3, 1, 5, 6, 2]",
+  "1937": "[5, 1, 4, 2, 6, 0, 3]",
+  "1938": "[6, 0, 3, 1, 4, 5, 2]",
+  "1939": "[0, 3, 2, 5, 1, 6, 4]",
+  "1940": "[1, 3, 0, 5, 2, 6, 4]",
+  "1941": "[2, 3, 1, 5, 0, 6, 4]",
+  "1942": "[3, 4, 0, 6, 2, 1, 5]",
+  "1943": "[4, 5, 1, 0, 3, 2, 6]",
+  "1944": "[5, 6, 2, 1, 4, 3, 0]",
+  "1945": "[6, 4, 1, 0, 3, 2, 5]",
+  "1946": "[0, 4, 3, 6, 1, 2, 5]",
+  "1947": "[1, 4, 3, 6, 2, 0, 5]",
+  "1948": "[2, 4, 3, 6, 0, 1, 5]",
+  "1949": "[3, 5, 4, 1, 2, 0, 6]",
+  "1950": "[4, 6, 5, 2, 3, 1, 0]",
+  "1951": "[5, 0, 6, 3, 4, 2, 1]",
+  "1952": "[6, 5, 4, 2, 3, 1, 0]",
+  "1953": "[0, 5, 4, 2, 1, 3, 6]",
+  "1954": "[1, 5, 4, 0, 2, 3, 6]",
+  "1955": "[2, 5, 4, 1, 0, 3, 6]",
+  "1956": "[3, 6, 5, 0, 2, 4, 1]",
+  "1957": "[4, 0, 6, 1, 3, 5, 2]",
+  "1958": "[5, 1, 0, 2, 4, 6, 3]",
+  "1959": "[6, 0, 5, 1, 3, 4, 2]",
+  "1960": "[0, 6, 5, 3, 1, 4, 2]",
+  "1961": "[1, 6, 5, 3, 2, 4, 0]",
+  "1962": "[2, 6, 5, 3, 0, 4, 1]",
+  "1963": "[3, 1, 6, 4, 2, 5, 0]",
+  "1964": "[4, 2, 0, 5, 3, 6, 1]",
+  "1965": "[5, 3, 1, 6, 4, 0, 2]",
+  "1966": "[6, 2, 0, 4, 3, 5, 1]",
+  "1967": "[0, 4, 6, 2, 1, 3, 5]",
+  "1968": "[1, 4, 6, 0, 2, 3, 5]",
+  "1969": "[2, 4, 6, 1, 0, 3, 5]",
+  "1970": "[3, 5, 1, 0, 2, 4, 6]",
+  "1971": "[4, 6, 2, 1, 3, 5, 0]",
+  "1972": "[5, 0, 3, 2, 4, 6, 1]",
+  "1973": "[6, 5, 2, 1, 3, 4, 0]",
+  "1974": "[0, 6, 1, 4, 5, 3, 2]",
+  "1975": "[1, 6, 2, 4, 5, 3, 0]",
+  "1976": "[2, 6, 0, 4, 5, 3, 1]",
+  "1977": "[3, 1, 2, 5, 6, 4, 0]",
+  "1978": "[4, 2, 3, 6, 0, 5, 1]",
+  "1979": "[5, 3, 4, 0, 1, 6, 2]",
+  "1980": "[6, 2, 3, 5, 0, 4, 1]",
+  "1981": "[0, 4, 2, 6, 3, 1, 5]",
+  "1982": "[1, 4, 0, 6, 3, 2, 5]",
+  "1983": "[2, 4, 1, 6, 3, 0, 5]",
+  "1984": "[3, 5, 0, 1, 4, 2, 6]",
+  "1985": "[4, 6, 1, 2, 5, 3, 0]",
+  "1986": "[5, 0, 2, 3, 6, 4, 1]",
+  "1987": "[6, 5, 1, 2, 4, 3, 0]",
+  "1988": "[0, 5, 3, 2, 4, 1, 6]",
+  "1989": "[1, 5, 3, 0, 4, 2, 6]",
+  "1990": "[2, 5, 3, 1, 4, 0, 6]",
+  "1991": "[3, 6, 4, 0, 5, 2, 1]",
+  "1992": "[4, 0, 5, 1, 6, 3, 2]",
+  "1993": "[5, 1, 6, 2, 0, 4, 3]",
+  "1994": "[6, 0, 4, 1, 5, 3, 2]",
+  "1995": "[0, 6, 4, 3, 5, 1, 2]",
+  "1996": "[1, 6, 4, 3, 5, 2, 0]",
+  "1997": "[2, 6, 4, 3, 5, 0, 1]",
+  "1998": "[3, 1, 5, 4, 6, 2, 0]",
+  "1999": "[4, 2, 6, 5, 0, 3, 1]",
+  "2000": "[5, 3, 0, 6, 1, 4, 2]",
+  "2001": "[6, 2, 5, 4, 0, 3, 1]",
+  "2002": "[0, 2, 5, 4, 6, 1, 3]",
+  "2003": "[1, 0, 5, 4, 6, 2, 3]",
+  "2004": "[2, 1, 5, 4, 6, 0, 3]",
+  "2005": "[3, 0, 6, 5, 1, 2, 4]",
+  "2006": "[4, 1, 0, 6, 2, 3, 5]",
+  "2007": "[5, 2, 1, 0, 3, 4, 6]",
+  "2008": "[6, 1, 0, 5, 2, 3, 4]",
+  "2009": "[0, 5, 6, 3, 4, 1, 2]",
+  "2010": "[1, 5, 6, 3, 4, 2, 0]",
+  "2011": "[2, 5, 6, 3, 4, 0, 1]",
+  "2012": "[3, 6, 1, 4, 5, 2, 0]",
+  "2013": "[4, 0, 2, 5, 6, 3, 1]",
+  "2014": "[5, 1, 3, 6, 0, 4, 2]",
+  "2015": "[6, 0, 2, 4, 5, 3, 1]",
+  "2016": "[0, 2, 1, 3, 6, 5, 4]",
+  "2017": "[1, 0, 2, 3, 6, 5, 4]",
+  "2018": "[2, 1, 0, 3, 6, 5, 4]",
+  "2019": "[3, 0, 2, 4, 1, 6, 5]",
+  "2020": "[4, 1, 3, 5, 2, 0, 6]",
+  "2021": "[5, 2, 4, 6, 3, 1, 0]",
+  "2022": "[6, 1, 3, 4, 2, 0, 5]",
+  "2023": "[0, 5, 2, 1, 4, 3, 6]",
+  "2024": "[1, 5, 0, 2, 4, 3, 6]",
+  "2025": "[2, 5, 1, 0, 4, 3, 6]",
+  "2026": "[3, 6, 0, 2, 5, 4, 1]",
+  "2027": "[4, 0, 1, 3, 6, 5, 2]",
+  "2028": "[5, 1, 2, 4, 0, 6, 3]",
+  "2029": "[6, 0, 1, 3, 5, 4, 2]",
+  "2030": "[0, 6, 3, 1, 5, 4, 2]",
+  "2031": "[1, 6, 3, 2, 5, 4, 0]",
+  "2032": "[2, 6, 3, 0, 5, 4, 1]",
+  "2033": "[3, 1, 4, 2, 6, 5, 0]",
+  "2034": "[4, 2, 5, 3, 0, 6, 1]",
+  "2035": "[5, 3, 6, 4, 1, 0, 2]",
+  "2036": "[6, 2, 4, 3, 0, 5, 1]",
+  "2037": "[0, 2, 4, 1, 6, 5, 3]",
+  "2038": "[1, 0, 4, 2, 6, 5, 3]",
+  "2039": "[2, 1, 4, 0, 6, 5, 3]",
+  "2040": "[3, 0, 5, 2, 1, 6, 4]",
+  "2041": "[4, 1, 6, 3, 2, 0, 5]",
+  "2042": "[5, 2, 0, 4, 3, 1, 6]",
+  "2043": "[6, 1, 5, 3, 2, 0, 4]",
+  "2044": "[0, 3, 5, 1, 2, 6, 4]",
+  "2045": "[1, 3, 5, 2, 0, 6, 4]",
+  "2046": "[2, 3, 5, 0, 1, 6, 4]",
+  "2047": "[3, 4, 6, 2, 0, 1, 5]",
+  "2048": "[4, 5, 0, 3, 1, 2, 6]",
+  "2049": "[5, 6, 1, 4, 2, 3, 0]",
+  "2050": "[6, 4, 0, 3, 1, 2, 5]",
+  "2051": "[0, 2, 6, 1, 5, 4, 3]",
+  "2052": "[1, 0, 6, 2, 5, 4, 3]",
+  "2053": "[2, 1, 6, 0, 5, 4, 3]",
+  "2054": "[3, 0, 1, 2, 6, 5, 4]",
+  "2055": "[4, 1, 2, 3, 0, 6, 5]",
+  "2056": "[5, 2, 3, 4, 1, 0, 6]",
+  "2057": "[6, 1, 2, 3, 0, 5, 4]",
+  "2058": "[0, 4, 1, 2, 5, 3, 6]",
+  "2059": "[1, 4, 2, 0, 5, 3, 6]",
+  "2060": "[2, 4, 0, 1, 5, 3, 6]",
+  "2061": "[3, 5, 2, 0, 6, 4, 1]",
+  "2062": "[4, 6, 3, 1, 0, 5, 2]",
+  "2063": "[5, 0, 4, 2, 1, 6, 3]",
+  "2064": "[6, 5, 3, 1, 0, 4, 2]",
+  "2065": "[0, 6, 2, 5, 3, 1, 4]",
+  "2066": "[1, 6, 0, 5, 3, 2, 4]",
+  "2067": "[2, 6, 1, 5, 3, 0, 4]",
+  "2068": "[3, 1, 0, 6, 4, 2, 5]",
+  "2069": "[4, 2, 1, 0, 5, 3, 6]",
+  "2070": "[5, 3, 2, 1, 6, 4, 0]",
+  "2071": "[6, 2, 1, 0, 4, 3, 5]",
+  "2072": "[0, 2, 3, 6, 4, 1, 5]",
+  "2073": "[1, 0, 3, 6, 4, 2, 5]",
+  "2074": "[2, 1, 3, 6, 4, 0, 5]",
+  "2075": "[3, 0, 4, 1, 5, 2, 6]",
+  "2076": "[4, 1, 5, 2, 6, 3, 0]",
+  "2077": "[5, 2, 6, 3, 0, 4, 1]",
+  "2078": "[6, 1, 4, 2, 5, 3, 0]",
+  "2079": "[0, 3, 4, 2, 5, 1, 6]",
+  "2080": "[1, 3, 4, 0, 5, 2, 6]",
+  "2081": "[2, 3, 4, 1, 5, 0, 6]",
+  "2082": "[3, 4, 5, 0, 6, 2, 1]",
+  "2083": "[4, 5, 6, 1, 0, 3, 2]",
+  "2084": "[5, 6, 0, 2, 1, 4, 3]",
+  "2085": "[6, 4, 5, 1, 0, 3, 2]",
+  "2086": "[0, 4, 5, 3, 6, 1, 2]",
+  "2087": "[1, 4, 5, 3, 6, 2, 0]",
+  "2088": "[2, 4, 5, 3, 6, 0, 1]",
+  "2089": "[3, 5, 6, 4, 1, 2, 0]",
+  "2090": "[4, 6, 0, 5, 2, 3, 1]",
+  "2091": "[5, 0, 1, 6, 3, 4, 2]",
+  "2092": "[6, 5, 0, 4, 2, 3, 1]",
+  "2093": "[0, 3, 6, 2, 4, 1, 5]",
+  "2094": "[1, 3, 6, 0, 4, 2, 5]",
+  "2095": "[2, 3, 6, 1, 4, 0, 5]",
+  "2096": "[3, 4, 1, 0, 5, 2, 6]",
+  "2097": "[4, 5, 2, 1, 6, 3, 0]",
+  "2098": "[5, 6, 3, 2, 0, 4, 1]",
+  "2099": "[6, 4, 2, 1, 5, 3, 0]",
+  "2100": "[0, 3, 1, 2, 4, 5, 6]",
+  "2101": "[1, 3, 2, 0, 4, 5, 6]",
+  "2102": "[2, 3, 0, 1, 4, 5, 6]",
+  "2103": "[3, 4, 2, 0, 5, 6, 1]",
+  "2104": "[4, 5, 3, 1, 6, 0, 2]",
+  "2105": "[5, 6, 4, 2, 0, 1, 3]",
+  "2106": "[6, 4, 3, 1, 5, 0, 2]",
+  "2107": "[0, 1, 2, 5, 6, 3, 4]",
+  "2108": "[1, 2, 0, 5, 6, 3, 4]",
+  "2109": "[2, 0, 1, 5, 6, 3, 4]",
+  "2110": "[3, 2, 0, 6, 1, 4, 5]",
+  "2111": "[4, 3, 1, 0, 2, 5, 6]",
+  "2112": "[5, 4, 2, 1, 3, 6, 0]",
+  "2113": "[6, 3, 1, 0, 2, 4, 5]",
+  "2114": "[0, 1, 3, 6, 2, 4, 5]",
+  "2115": "[1, 2, 3, 6, 0, 4, 5]",
+  "2116": "[2, 0, 3, 6, 1, 4, 5]",
+  "2117": "[3, 2, 4, 1, 0, 5, 6]",
+  "2118": "[4, 3, 5, 2, 1, 6, 0]",
+  "2119": "[5, 4, 6, 3, 2, 0, 1]",
+  "2120": "[6, 3, 4, 2, 1, 5, 0]",
+  "2121": "[0, 1, 4, 2, 3, 5, 6]",
+  "2122": "[1, 2, 4, 0, 3, 5, 6]",
+  "2123": "[2, 0, 4, 1, 3, 5, 6]",
+  "2124": "[3, 2, 5, 0, 4, 6, 1]",
+  "2125": "[4, 3, 6, 1, 5, 0, 2]",
+  "2126": "[5, 4, 0, 2, 6, 1, 3]",
+  "2127": "[6, 3, 5, 1, 4, 0, 2]",
+  "2128": "[0, 1, 5, 3, 4, 6, 2]",
+  "2129": "[1, 2, 5, 3, 4, 6, 0]",
+  "2130": "[2, 0, 5, 3, 4, 6, 1]",
+  "2131": "[3, 2, 6, 4, 5, 1, 0]",
+  "2132": "[4, 3, 0, 5, 6, 2, 1]",
+  "2133": "[5, 4, 1, 6, 0, 3, 2]",
+  "2134": "[6, 3, 0, 4, 5, 2, 1]",
+  "2135": "[0, 1, 6, 2, 3, 4, 5]",
+  "2136": "[1, 2, 6, 0, 3, 4, 5]",
+  "2137": "[2, 0, 6, 1, 3, 4, 5]",
+  "2138": "[3, 2, 1, 0, 4, 5, 6]",
+  "2139": "[4, 3, 2, 1, 5, 6, 0]",
+  "2140": "[5, 4, 3, 2, 6, 0, 1]",
+  "2141": "[6, 3, 2, 1, 4, 5, 0]",
+  "2142": "[0, 5, 1, 4, 3, 6, 2]",
+  "2143": "[1, 5, 2, 4, 3, 6, 0]",
+  "2144": "[2, 5, 0, 4, 3, 6, 1]",
+  "2145": "[3, 6, 2, 5, 4, 1, 0]",
+  "2146": "[4, 0, 3, 6, 5, 2, 1]",
+  "2147": "[5, 1, 4, 0, 6, 3, 2]",
+  "2148": "[6, 0, 3, 5, 4, 2, 1]",
+  "2149": "[0, 3, 2, 6, 1, 4, 5]",
+  "2150": "[1, 3, 0, 6, 2, 4, 5]",
+  "2151": "[2, 3, 1, 6, 0, 4, 5]",
+  "2152": "[3, 4, 0, 1, 2, 5, 6]",
+  "2153": "[4, 5, 1, 2, 3, 6, 0]",
+  "2154": "[5, 6, 2, 3, 4, 0, 1]",
+  "2155": "[6, 4, 1, 2, 3, 5, 0]",
+  "2156": "[0, 4, 3, 2, 1, 5, 6]",
+  "2157": "[1, 4, 3, 0, 2, 5, 6]",
+  "2158": "[2, 4, 3, 1, 0, 5, 6]",
+  "2159": "[3, 5, 4, 0, 2, 6, 1]",
+  "2160": "[4, 6, 5, 1, 3, 0, 2]",
+  "2161": "[5, 0, 6, 2, 4, 1, 3]",
+  "2162": "[6, 5, 4, 1, 3, 0, 2]",
+  "2163": "[0, 5, 4, 3, 1, 6, 2]",
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+  "2516": "[3, 4, 1, 5, 2, 0, 6]",
+  "2517": "[4, 5, 2, 6, 3, 1, 0]",
+  "2518": "[5, 6, 3, 0, 4, 2, 1]",
+  "2519": "[6, 4, 2, 5, 3, 1, 0]"
 }
\ No newline at end of file