[System]

[Variables]

fixed_crc8_var_dict_json = {"c0.0": 1, "c0.1": 1, "c0.2": 1, "c0.3": 1, "c0.4": 1, "c0.5": 0, "c0.6": 0, "c0.7": 0}

crc8_decision_var_list_json = []

fixed_init_var_dict_json = {"i0.0": 0, "i0.1": 0, "i0.2": 0, "i0.3": 0, "i0.4": 0, "i0.5": 0, "i0.6": 0, "i0.7": 0}

init_decision_var_list_json = []

num_data_octets = 4

fixed_data_var_dict_json = {}

data_decision_var_list_json = ["d0.0", "d0.1", "d0.2", "d0.3", "d0.4", "d0.5", "d0.6", "d0.7", "d1.0", "d1.1", "d1.2", "d1.3", "d1.4", "d1.5", "d1.6", "d1.7", "d2.0", "d2.1", "d2.2", "d2.3", "d2.4", "d2.5", "d2.6", "d2.7", "d3.0", "d3.1", "d3.2", "d3.3", "d3.4", "d3.5", "d3.6", "d3.7"]

[Problem]

bqm_json = {"type": "BinaryQuadraticModel", "version": {"bqm_schema": "3.0.0"}, "use_bytes": false, "index_type": "uint16", "bias_type": "float32", "num_variables": 192, "num_interactions": 430, "variable_labels": ["((c0.0^d1.0)^(c0.1^d1.1))^((c0.3^d1.3)^(c0.7^d1.7))", "((c1.0^d2.0)^(c1.1^d2.1))^((c1.3^d2.3)^(c1.7^d2.7))", "((c2.0^d3.0)^(c2.1^d3.1))^((c2.3^d3.3)^(c2.7^d3.7))", "((i0.0^d0.0)^(i0.1^d0.1))^((i0.3^d0.3)^(i0.7^d0.7))", "(c0.0^d1.0)^(c0.1^d1.1)", "(c0.0^d1.0)^(c0.4^d1.4)", "(c0.2^d1.2)^(c0.6^d1.6)", "(c0.3^d1.3)^(c0.7^d1.7)", "(c1.0^d2.0)^(c1.1^d2.1)", "(c1.0^d2.0)^(c1.4^d2.4)", "(c1.2^d2.2)^(c1.6^d2.6)", "(c1.3^d2.3)^(c1.7^d2.7)", "(c2.0^d3.0)^(c2.1^d3.1)", "(c2.0^d3.0)^(c2.4^d3.4)", "(c2.2^d3.2)^(c2.6^d3.6)", "(c2.3^d3.3)^(c2.7^d3.7)", "(i0.0^d0.0)^(i0.1^d0.1)", "(i0.0^d0.0)^(i0.4^d0.4)", "(i0.2^d0.2)^(i0.6^d0.6)", "(i0.3^d0.3)^(i0.7^d0.7)", "aux0", "aux1", "aux10", "aux11", "aux12", "aux13", "aux14", "aux15", "aux16", "aux17", "aux18", "aux19", "aux2", "aux20", "aux21", "aux22", "aux23", "aux24", "aux25", "aux26", "aux27", "aux28", "aux29", "aux3", "aux30", "aux31", "aux32", "aux33", "aux34", "aux35", "aux36", "aux37", "aux38", "aux39", "aux4", "aux40", "aux41", "aux42", "aux43", "aux44", "aux45", "aux46", "aux47", "aux48", "aux49", "aux5", "aux50", "aux51", "aux52", "aux53", "aux54", "aux55", "aux56", "aux57", "aux58", "aux59", "aux6", "aux60", "aux61", "aux62", "aux63", "aux64", "aux65", "aux66", "aux67", "aux68", "aux69", "aux7", "aux70", "aux71", "aux72", "aux73", "aux74", "aux75", "aux76", "aux77", "aux78", "aux79", "aux8", "aux80", "aux81", "aux82", "aux83", "aux9", "c0.0^d1.0", "c0.1^d1.1", "c0.2^d1.2", "c0.3^d1.3", "c0.4^d1.4", "c0.5^d1.5", "c0.6^d1.6", "c0.7^d1.7", "c1.0", "c1.0^d2.0", "c1.1", "c1.1^d2.1", "c1.2", "c1.2^d2.2", "c1.3", "c1.3^d2.3", "c1.4", "c1.4^d2.4", "c1.5", "c1.5^d2.5", "c1.6", "c1.6^d2.6", "c1.7", "c1.7^d2.7", "c2.0", "c2.0^d3.0", "c2.1", "c2.1^d3.1", "c2.2", "c2.2^d3.2", "c2.3", "c2.3^d3.3", "c2.4", "c2.4^d3.4", "c2.5", "c2.5^d3.5", "c2.6", "c2.6^d3.6", "c2.7", "c2.7^d3.7", "c3.0", "c3.1", "c3.2", "c3.3", "c3.4", "c3.5", "c3.6", "c3.7", "d0.0", "d0.1", "d0.2", "d0.3", "d0.4", "d0.5", "d0.6", "d0.7", "d1.0", "d1.1", "d1.2", "d1.3", "d1.4", "d1.5", "d1.6", "d1.7", "d2.0", "d2.1", "d2.2", "d2.3", "d2.4", "d2.5", "d2.6", "d2.7", "d3.0", "d3.1", "d3.2", "d3.3", "d3.4", "d3.5", "d3.6", "d3.7", "i0.0^d0.0", "i0.1^d0.1", "i0.2^d0.2", "i0.3^d0.3", "i0.4^d0.4", "i0.5^d0.5", "i0.6^d0.6", "i0.7^d0.7"], "variable_type": "BINARY", "offset": 190.0, "info": {}, "linear_biases": [7.0, 7.0, 3.0, 9.0, 3.0, -1.0, -1.0, 2.0, 3.0, 7.0, -1.0, -2.0, 11.0, 3.0, -1.0, -2.0, 1.0, 5.0, 3.0, 2.0, 4.0, 4.0, -4.0, -4.0, 4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, -4.0, 4.0, -4.0, -8.0, -8.0, -8.0, -8.0, 8.0, 4.0, 4.0, 4.0, -4.0, 4.0, -4.0, 4.0, -4.0, 4.0, 4.0, -4.0, -4.0, -4.0, 4.0, 4.0, 4.0, 4.0, -4.0, -4.0, 4.0, 4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, 4.0, 4.0, -4.0, -4.0, -4.0, 4.0, 4.0, 4.0, -4.0, 4.0, -4.0, 4.0, -4.0, -4.0, 4.0, 4.0, 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embedding_json = {"d0.0": [2364], "i0.0^d0.0": [4588, 4692, 2394], "aux0": [4557], "i0.1^d0.1": [2274, 4661, 2304], "(i0.0^d0.0)^(i0.1^d0.1)": [2409, 4752, 4753], "aux8": [4662], "i0.4^d0.4": [2423], "(i0.0^d0.0)^(i0.4^d0.4)": [4603, 2499], "aux9": [4618], "d0.1": [4617], "aux1": [4602], "i0.5^d0.5": [4797], "aux10": [2305], "d0.2": [4872], "i0.2^d0.2": [4737, 2350], "aux2": [4887], "i0.6^d0.6": [4827, 2380], "(i0.2^d0.2)^(i0.6^d0.6)": [2425, 2365, 2410, 4857], "aux11": [4842], "((i0.0^d0.0)^(i0.1^d0.1))^((i0.3^d0.3)^(i0.7^d0.7))": [4783, 2395], "aux20": [4722], "d0.3": [2545], "i0.3^d0.3": [4738, 2454], "aux3": [2530], "i0.7^d0.7": [4693, 2574], "(i0.3^d0.3)^(i0.7^d0.7)": [2439], "aux12": [4708], "aux17": [2453], "d0.4": [2408], "aux4": [4512], "aux16": [4497], "d0.5": [2200], "aux5": [2215], "aux15": [2335], "d0.6": [2485], "aux6": [2470], "aux18": [4768], "d0.7": [2544], "aux7": [4543], "aux19": [4678], "aux13": [4798], "aux14": [2424], "d1.0": [3866], "c0.0^d1.0": [2119], "aux21": [3851], "c0.1^d1.1": [2164, 3806, 2134], "(c0.0^d1.0)^(c0.1^d1.1)": [2224, 2089, 3791], "aux29": [3821], "c0.4^d1.4": [2014, 3701], "(c0.0^d1.0)^(c0.4^d1.4)": [3775, 3774], "aux30": [2104], "d1.1": [3836], "aux22": [2074], "c0.5^d1.5": [3717, 3687, 2209], "c1.5": [2029, 3686], "aux31": [3716], "d1.2": [4047], "c0.2^d1.2": [3942, 4032, 2315], "aux23": [2211], "c0.6^d1.6": [3987, 3986], "(c0.2^d1.2)^(c0.6^d1.6)": [2240, 2238, 2239], "aux32": [2225], "((c0.0^d1.0)^(c0.1^d1.1))^((c0.3^d1.3)^(c0.7^d1.7))": [3912, 3911, 2285], "c1.7": [3941], "aux41": [2300], "d1.3": [3729], "c0.3^d1.3": [3984, 1834, 1835], "aux24": [3744], "c0.7^d1.7": [1879, 3924], "(c0.3^d1.3)^(c0.7^d1.7)": [3925, 3909, 3910], "aux33": [1805], "c1.3": [1939, 1877, 1878, 3700], "aux38": [1849], "d1.4": [3745], "aux25": [3730], "c1.2": [3564, 1938, 3655], "aux37": [2043], "d1.5": [3672], "aux26": [2359], "c1.1": [3656], "aux36": [3641], "d1.6": [2390], "aux27": [2375], "c1.4": [3882, 2360], "aux39": [3972], "d1.7": [3895], "aux28": [3880], "c1.6": [3850, 1894], "aux40": [3759], "aux34": [3926], "c1.0": [2284, 3761], "aux35": [3852], "d2.5": [3671], "c1.5^d2.5": [2116, 2118, 2117], "aux47": [3595, 2058], "d2.0": [2299], "c1.0^d2.0": [2222, 3626, 3731, 2223], "aux42": [3746], "d2.1": [2073], "c1.1^d2.1": [3611, 2133], "aux43": [2088], "d2.2": [3520], "c1.2^d2.2": [1891, 3490, 1892], "aux44": [3535], "d2.3": [3444], "c1.3^d2.3": [2237, 3429, 3430, 3431], "aux45": [1862], "d2.4": [3897], "c1.4^d2.4": [2254, 2177, 2178, 2179, 3776], "aux46": [2269], "d2.6": [3835], "c1.6^d2.6": [1954, 1951, 1952, 1953], "aux48": [3820], "d2.7": [3956], "c1.7^d2.7": [2282, 2195, 2194, 2193, 3492], "aux49": [2210], "(c1.0^d2.0)^(c1.1^d2.1)": [2041, 3537, 3536, 2042], "aux50": [2208], "(c1.0^d2.0)^(c1.4^d2.4)": [3402, 3401], "aux51": [3416], "c2.5": [3386, 3446, 2148, 2147], "aux52": [3521], "(c1.2^d2.2)^(c1.6^d2.6)": [2086, 1967, 3370], "aux53": [3505], "((c1.0^d2.0)^(c1.1^d2.1))^((c1.3^d2.3)^(c1.7^d2.7))": [1981, 3250], "c2.7": [3268, 3267, 3266, 3265], "aux62": [1906], "(c1.3^d2.3)^(c1.7^d2.7)": [2026, 3342, 3341, 2027], "aux54": [3371, 2162], "c2.3": [3432, 3297, 2372], "aux59": [2207, 3296], "c2.2": [3581], "aux58": [3596], "c2.1": [3281, 3282, 2387], "aux57": [3385, 2071], "c2.4": [3237, 3236, 3235], "aux60": [1966], "c2.6": [3447, 2418, 2417], "aux61": [2297], "aux55": [2056, 3280], "c2.0": [2087, 3565], "aux56": [3415], "d3.5": [2266], "c2.5^d3.5": [2192, 3357, 2328, 2327], "aux68": [2251], "d3.0": [2013], "c2.0^d3.0": [3508, 3506, 3507], "aux63": [2028], "d3.1": [3417], "c2.1^d3.1": [3372, 3462, 2312], "aux64": [2357], "d3.2": [2298], "c2.2^d3.2": [2253, 3643, 3642], "aux65": [2283], "d3.3": [3358], "c2.3^d3.3": [3344, 3343], "aux66": [2522, 3328], "d3.4": [3222], "c2.4^d3.4": [3313, 2477, 2476], "aux67": [2461], "d3.6": [3688], "c2.6^d3.6": [3538, 2478], "aux69": [3673], "d3.7": [2581], "c2.7^d3.7": [2596, 3298], "aux70": [3252, 3253], "(c2.0^d3.0)^(c2.1^d3.1)": [3523, 2402], "aux71": [2373], "(c2.0^d3.0)^(c2.4^d3.4)": [3463, 2507, 3388], "aux72": [2462], "c3.5": [3387], "aux73": [2342], "(c2.2^d3.2)^(c2.6^d3.6)": [3597, 3612, 2388], "aux74": [2463], "((c2.0^d3.0)^(c2.1^d3.1))^((c2.3^d3.3)^(c2.7^d3.7))": [2433, 2432], "c3.7": [3658], "aux83": [2448], "(c2.3^d3.3)^(c2.7^d3.7)": [2446, 2447], "aux75": [2431], "c3.3": [2611], "aux80": [2626], "c3.2": [2416], "aux79": [2401], "c3.1": [2313], "aux78": [3627], "c3.4": [3613], "aux81": [3628], "c3.6": [2567], "aux82": [3373], "aux76": [3493], "c3.0": [3552], "aux77": [3567]}

[Notes]

crc8_str = 00011111

init_str = 00000000

data = xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx

embedding_len = 192

max_chain_len = 5

avg_chain_len = 1.619792