bin1 := (1,3650,1022,4089,736)(2,1633,2214,73,3935)(3,2559,687,2537,285)(4,821, 3814,1040,901)(5,3836,1385,2231,4321)(6,487,3333,1933,3240)(7,4347,2100, 516,856)(8,3717,3937,4351,3900)(9,2203,1818,3969,1748)(10,722,3753,3156, 1647)(11,2437,1116,2399,4553)(12,1882,1118,3042,1663)(13,3192,2155,3728, 2872)(14,3445,2020,644,541)(15,1087,3025,194,1968)(16,2180,1035,2756, 3737)(17,895,3407,3425,1466)(18,2620,338,2227,1308)(19,3933,3071,308, 3255)(20,735,2692,837,2640)(21,2987,2274,1215,2843)(22,4511,1044,3566, 1527)(23,2079,2464,2473,1223)(24,2731,3678,3347,2043)(25,2259,4523,3993, 83)(26,1445,102,167,2999)(27,2190,2053,3773,3346)(28,1304,3811,1679,1109) (29,1204,2771,3400,788)(30,396,2749,4179,1890)(31,4291,3452,1236,33)(32, 2923,1353,2073,864)(34,1680,3704,1793,4208)(35,3131,705,2385,2215)(36, 1842,625,3882,4123)(37,2460,3696,1692,2173)(38,2093,562,2374,2540)(39, 2882,2590,601,2680)(40,119,3470,484,3950)(41,199,3293,723,3747)(42,3363, 1298,4004,789)(43,4038,1166,2303,1677)(44,1242,635,3279,2145)(45,4383, 3989,2487,3464)(46,2853,3707,1002,1554)(47,1033,1089,200,3954)(48,1561, 3030,4265,1120)(49,58,2042,508,1928)(50,3938,1802,373,648)(51,3601,1085, 1775,3805)(52,4583,1553,1356,2272)(53,282,1027,3910,611)(54,2004,3455, 3338,544)(55,4455,1453,839,689)(56,74,3855,923,2091)(57,3923,2247,4580, 1777)(59,3715,1631,775,2413)(60,2712,3383,708,3514)(61,206,3081,3388, 2573)(62,2288,1392,2668,3879)(63,1759,1530,4346,3462)(64,4027,2316,3365, 3513)(65,3352,3733,1963,1256)(66,3781,931,124,1460)(67,3305,1403,3589, 3701)(68,409,3360,4248,695)(69,4581,638,2441,4430)(70,3351,2575,3987, 4530)(71,2126,501,1602,733)(72,3275,464,2032,3606)(75,3680,2833,2318, 1947)(76,1502,2605,3486,4574)(77,3497,403,972,2676)(78,4295,1069,4152, 3353)(79,274,1653,239,785)(80,759,1489,1995,3339)(81,1456,593,4420,2099) (82,3435,4215,4402,512)(84,2971,4353,790,494)(85,2671,3450,2301,3713)(86, 4268,835,3562,3251)(87,1773,3593,1372,3664)(88,3213,1541,4043,2555)(89, 1078,1316,968,3304)(90,700,473,575,363)(91,3395,4161,527,2792)(92,3507, 2138,372,4363)(93,936,4490,310,196)(94,1922,2383,458,2397)(95,2675,2162, 3474,224)(96,4561,1964,4006,1976)(97,3423,1348,1045,3113)(98,1854,569, 2135,2684)(99,1999,2168,3280,852)(100,630,3647,1767,159)(101,2788,4178, 4136,1580)(103,1959,3463,2933,3398)(104,2283,4296,1797,2847)(105,233, 4041,1562,3977)(106,2242,2382,3639,139)(107,614,1939,1733,782)(108,180, 4080,1669,1614)(109,3822,4249,2098,1758)(110,2207,1470,1066,4369)(111, 2948,3827,232,346)(112,761,1157,4056,2725)(113,414,2795,3112,486)(114, 382,2159,1488,2522)(115,4385,2232,2477,1307)(116,3446,925,845,2938)(117, 3106,858,2548,2128)(118,2019,189,3858,4096)(120,1804,3723,4039,1596)(121, 1128,1892,1117,1978)(122,2261,4537,4290,2832)(123,1444,2707,152,1277) (125,240,1887,4021,3688)(126,2584,2311,699,3577)(127,4255,2304,2618,1699) (128,3543,4065,742,2486)(129,3328,4588,3517,559)(130,3479,3456,4539,1105) (131,3984,407,4131,1210)(132,4382,3173,4313,3142)(133,652,1471,2458,2894) (134,1340,1284,3178,1743)(135,4341,859,924,1192)(136,2352,4019,2891,4309) (137,3844,3697,1816,1706)(138,1924,563,369,1386)(140,4467,2059,800,3617) (141,4212,3148,1357,2014)(142,1462,3866,429,3022)(143,4517,4184,175,3153) (144,2295,3764,2296,2912)(145,1918,2569,940,3009)(146,3521,4386,1569,846) (147,993,1285,4416,1966)(148,988,548,2556,1771)(149,1095,3074,2104,4267) (150,1726,1380,2402,3762)(151,2212,668,4130,1839)(153,1364,958,2691,2398) (154,523,2796,4439,3003)(155,3262,3492,3034,3079)(156,1295,4374,4022, 2786)(157,3602,1644,1629,211)(158,3166,3878,222,1015)(160,3869,3457,3068, 1432)(161,1301,2597,3951,2744)(162,4556,3744,1468,3708)(163,467,3642, 1835,3788)(164,1005,1150,1107,267)(165,1537,2983,2360,672)(166,745,4014, 4461,3168)(168,4225,3662,3672,2897)(169,3244,3102,2514,1294)(170,1953, 1189,4541,2322)(171,681,1341,357,4507)(172,2943,2638,4459,4219)(173,1243, 2491,739,2697)(174,665,1080,2864,1414)(176,3791,1041,2806,504)(177,2213, 1792,3875,2810)(178,1538,1799,2377,1274)(179,204,1149,3716,3331)(181, 2615,1539,2286,4508)(182,3373,2124,1623,3870)(183,2911,3579,1241,3234) (184,531,2264,307,1501)(185,3384,1218,661,456)(186,1123,4343,1257,991) (187,3362,1234,218,2453)(188,479,255,495,725)(190,1552,1231,4589,421) (191,4231,2384,1958,3899)(192,4494,847,2324,1458)(193,1082,2445,1638, 4406)(195,659,1667,970,3327)(197,1783,3269,1413,1180)(198,4050,4441,1721, 1309)(201,4176,3103,1873,1216)(202,313,1121,4116,1817)(203,1779,2187, 3881,3551)(205,1367,1491,937,2650)(207,3134,2642,549,1584)(208,961,3665, 1920,3197)(209,3194,3162,1049,2678)(210,3657,433,1572,679)(212,401,400, 2456,3132)(213,4442,1857,535,2534)(214,3576,3806,967,1994)(215,4113,424, 3999,3720)(216,902,4396,301,1583)(217,3852,3019,2772,1542)(219,2035,2080, 2405,4148)(220,252,1926,250,1279)(221,2588,437,3326,2130)(223,2901,2448, 3258,580)(225,2648,1747,1053,1965)(226,926,3276,1908,3038)(227,1685,1519, 2752,4276)(228,4191,3630,1455,3978)(229,2844,3029,3307,2954)(230,3567, 1165,2060,4358)(231,3732,675,658,3757)(234,4085,309,911,2531)(235,3533, 939,4299,688)(236,568,4440,3838,779)(237,4407,4158,4412,4491)(238,4173, 1740,4101,1574)(241,1104,2614,1230,3740)(242,3308,2408,1517,1837)(243, 3712,4502,4119,4018)(244,2111,3583,4558,1575)(245,1232,2594,323,897)(246, 3437,4316,4598,4252)(247,2205,2839,2791,3653)(248,3364,3965,1004,2539) (249,4371,2602,1716,2110)(251,2593,626,1508,482)(253,581,2179,4566,3287) (254,2974,3406,3193,1549)(256,461,2369,3031,2430)(257,3177,1787,399,2714) (258,4322,2319,2072,3632)(259,1182,3263,4129,3934)(260,2809,3539,2367, 4488)(261,1643,303,3887,2255)(262,1084,4362,4033,2096)(263,3986,1845, 4239,1028)(264,4238,316,3480,2347)(265,2696,2719,2644,1252)(266,2631, 4372,1208,3306)(268,2961,3754,4016,3686)(269,1544,2201,1283,4408)(270, 4565,1811,2490,1565)(271,2729,2881,2783,1226)(272,3540,3053,730,1476) (273,2008,3862,715,4030)(275,3739,992,3918,3724)(276,3833,497,3413,1411) (277,4272,457,507,1819)(278,3204,872,4002,3380)(279,4166,489,4023,462) (280,3090,4009,1769,2269)(281,2666,3146,551,1101)(283,302,2438,3684,1092) (284,4110,430,4187,4169)(286,1016,1937,3432,2703)(287,997,834,1435,1859) (288,4292,2503,2544,1494)(289,475,4456,738,2924)(290,2409,1425,3475,3430) (291,374,3574,3271,663)(292,356,2723,2965,3076)(293,2819,3100,375,1262) (294,2931,2963,3147,2156)(295,2220,590,3924,1529)(296,509,2685,832,4404) (297,2210,774,2423,2683)(298,2077,4229,2143,4463)(299,3568,351,2241,1264) (300,4421,4106,552,3895)(304,1790,1886,1977,4175)(305,3185,4020,827,805) (306,3087,391,1911,3820)(311,2557,566,4397,384)(312,2610,1659,1037,3210) (314,3385,4390,4331,3335)(315,1129,726,1916,3442)(317,2566,1093,2722, 4250)(318,4401,1161,4563,4236)(319,2419,3482,666,1652)(320,2108,4099, 1925,366)(321,3545,2606,1946,1401)(322,1505,1660,841,4230)(324,4526,3032, 1755,1126)(325,1479,3174,1518,412)(326,2154,3056,560,2393)(327,3451,3041, 2433,2550)(328,585,641,340,2813)(329,1074,1826,3033,2287)(330,2586,1055, 2425,3849)(331,3504,534,3752,2826)(332,2333,2481,1043,2953)(333,1891, 2746,767,749)(334,2416,477,2131,553)(335,1645,948,4445,2997)(336,1654, 1481,2868,536)(337,1784,1191,1540,2504)(339,1635,2935,1446,3125)(341, 3080,488,605,951)(342,1851,4298,1798,1956)(343,3111,2284,2471,554)(344, 3246,3233,1801,3618)(345,4206,1388,2436,3505)(347,2801,3317,1838,3391) (348,3871,4210,2434,1329)(349,1646,1722,2011,3683)(350,2862,4515,2056, 3250)(352,1162,770,4593,3597)(353,2682,2507,3519,2086)(354,1387,1604, 1514,4355)(355,2612,2492,1888,1278)(358,3495,1719,1672,4126)(359,3039, 3135,4186,455)(360,3956,1030,4035,1337)(361,1607,3107,1177,1651)(362, 2174,567,1967,4373)(364,1668,1595,4005,2101)(365,3077,3390,3961,1609) (367,1897,3623,2209,4389)(368,1106,3527,860,617)(370,4482,2292,2431,3958) (371,4472,693,2611,2558)(376,2939,2651,4447,2033)(377,717,3222,4368,3312) (378,3274,2294,2078,4037)(379,2186,1605,582,1697)(380,3676,2479,3925, 1135)(381,4182,1823,3283,3219)(383,2330,3746,1528,1861)(385,4415,4235, 1931,3018)(386,2070,3066,2934,1377)(387,707,1472,2890,3919)(388,3758, 4118,4258,766)(389,2181,737,842,2355)(390,4479,1853,4595,1144)(392,1396, 622,3525,3837)(393,2774,719,3337,890)(394,3324,4259,4318,2240)(395,2237, 646,2956,2422)(397,1693,3005,2857,588)(398,2013,1331,1757,4051)(402,1585, 1780,2937,3108)(404,3581,420,3133,3972)(405,3768,576,894,975)(406,1073, 947,3761,3429)(408,792,3055,1018,2861)(410,2293,2718,2470,3201)(411,598, 3598,2721,1136)(413,3595,1910,3769,2244)(415,3607,3223,1439,3857)(416, 1299,1075,2630,1475)(417,913,1176,2127,1175)(418,4478,3825,4564,2768) (419,753,949,4424,1848)(422,3169,3157,2706,1813)(423,558,2163,966,4555) (425,878,871,1830,4281)(426,1578,3587,3014,4012)(427,3569,2698,1670,2940) (428,3375,1463,3088,4522)(431,3835,3235,2074,499)(432,452,3816,1235,628) (434,2329,2498,514,2535)(435,4434,2106,468,2663)(436,1948,4317,4200,2549) (438,816,3843,3590,1072)(439,1765,1410,3798,2153)(440,1431,3225,4594, 3094)(441,1390,2799,4400,1929)(442,3140,2985,2388,3315)(443,3996,1752, 3454,2708)(444,3841,4142,3865,4458)(445,656,1038,3218,2426)(446,3537, 2947,4547,2921)(447,3628,3325,4180,3636)(448,2827,3666,3690,3635)(449, 2064,539,797,2846)(450,3645,2986,2123,4013)(451,2390,755,1352,1751)(453, 3600,4418,2512,1932)(454,3582,3064,2532,667)(459,1381,4117,2574,3095) (460,1152,1985,1675,469)(463,3285,2468,3693,4332)(465,1020,850,1725,3571) (466,3809,1273,2102,1399)(470,4076,2741,3931,2785)(471,914,3139,3812, 1459)(472,3367,4584,2909,2639)(474,2802,2568,3656,4590)(476,2050,3561, 1171,3755)(478,2870,1492,2887,1332)(480,2440,2815,1895,3609)(481,3298, 1889,3503,1998)(483,2317,2364,1271,1754)(485,2988,2919,4196,3348)(490, 4306,2981,3897,3214)(491,3006,2732,4275,810)(492,4054,3121,2869,1124) (493,2849,3129,1855,2689)(496,2117,3916,592,1391)(498,4025,4342,3749, 2502)(500,3374,783,3483,4075)(502,2245,4047,3714,525)(503,2323,2778,3211, 1293)(505,3706,3524,2444,1927)(506,2115,3967,2836,4542)(510,1988,2052, 3399,1061)(511,1464,2581,2667,1384)(513,2564,4032,2529,4335)(515,955, 4045,2420,3559)(517,4246,1088,3043,602)(518,1637,4435,3667,1057)(519, 3272,3890,3381,1237)(520,1050,1350,2146,750)(521,2230,2524,2061,2828) (522,2563,2589,1621,4304)(524,3627,3876,616,3530)(526,4288,2811,4495, 2687)(528,4031,4044,3731,3013)(529,3913,4282,3473,3692)(530,1310,4253, 3382,822)(532,807,2041,2547,3584)(533,3182,1786,3794,1495)(537,1114,2876, 1058,773)(538,627,2252,4359,1371)(540,3047,3963,1228,1012)(542,2484,1281, 2039,1156)(543,2972,4579,1536,3944)(545,876,1863,684,3546)(546,2236,1198, 1497,716)(547,1684,3649,2617,2734)(550,1899,1132,2580,1828)(555,3316, 3557,2254,2596)(556,762,4260,3787,4480)(557,4084,4087,4577,1115)(561, 1434,1450,2704,1127)(564,2885,1436,2068,3939)(565,784,1877,2071,4464) (570,3460,3189,4599,1111)(571,4315,2625,2748,3017)(572,2250,583,1160, 1833)(573,2635,674,3075,746)(574,844,4552,3555,3130)(577,808,4165,1197, 621)(578,4209,1840,2249,1568)(579,4133,2132,1701,3674)(584,4177,3212, 3341,1739)(586,4399,1715,2357,1520)(587,1086,3544,2345,1764)(589,3143, 3945,1844,639)(591,2717,2525,2494,4545)(594,1551,3259,4143,3093)(595, 1036,1363,2062,2929)(596,3082,1333,613,1393)(597,1306,2157,3981,3232) (599,1253,1878,1397,3556)(600,1412,3541,2604,2567)(603,1703,3438,2759, 3604)(604,757,2452,758,2533)(606,3699,3772,2898,3485)(607,4572,998,3050, 4436)(608,1597,3770,3099,4534)(609,2421,3284,2733,3494)(610,4512,3155, 809,1220)(612,1404,1627,1474,938)(615,4222,1636,3912,799)(618,1099,1426, 1694,3466)(619,4109,1013,2855,4489)(620,1868,3191,2506,3991)(623,744, 2337,3170,3281)(624,3947,4269,2036,2681)(629,3621,3776,3885,3603)(631, 814,2291,2571,4214)(632,4505,1342,879,973)(633,3069,2629,1068,2513)(634, 4548,2536,1993,2730)(636,3818,3709,1632,2991)(637,3980,3660,2217,2766) (640,4144,2761,1039,1023)(642,803,2018,978,4069)(643,2038,2125,2695,3902) (645,2551,2701,2837,3208)(647,1615,1200,3349,2520)(649,748,1543,2578, 3354)(650,2647,709,2808,1905)(651,3792,1673,1874,1619)(653,2508,2175, 4340,3983)(654,3548,3528,1233,4398)(655,2081,2194,3763,2962)(657,3010, 3592,3940,3124)(660,1493,2171,2755,4226)(662,3070,4394,3586,4597)(664, 4271,4155,3815,3207)(669,4453,4393,1100,1704)(670,2927,1749,2129,2892) (671,2673,1320,2866,2545)(673,4345,4450,1625,1296)(676,1076,1992,1407, 4311)(677,3301,2781,4048,4217)(678,1522,3748,3616,934)(680,3286,2907, 2148,4468)(682,3051,1010,4466,1656)(683,3516,3299,752,3036)(685,2753, 1982,4483,4220)(686,3654,2455,862,1266)(690,3771,3290,4141,1761)(691, 2863,1825,1762,1695)(692,4273,1782,3164,2505)(694,4367,2121,2085,1650) (696,3294,2530,3176,3215)(697,1989,1244,1374,2365)(698,4417,2439,3303, 3152)(701,1125,1534,2762,869)(702,3585,1430,3313,4471)(703,4403,3227, 2850,2995)(704,1280,1702,2211,4063)(706,4003,1681,2875,3037)(710,3990, 4357,2327,2017)(711,1484,989,2975,1173)(712,2952,1297,4297,971)(713,4154, 1884,4237,2976)(714,2959,2118,2234,2770)(718,1613,866,2065,3297)(720, 3057,4487,4216,3884)(721,3150,4204,1805,1379)(724,3415,3431,2238,2150) (727,2585,4010,2688,3512)(728,2362,2760,2315,1794)(729,2670,3231,1961, 2246)(731,2197,1756,3179,2302)(732,4506,4328,3658,1369)(734,4160,4492, 3796,4557)(740,4218,1145,1880,3883)(741,1292,3888,1164,3948)(743,2656, 1134,3368,3624)(747,3089,4128,1229,3118)(751,1796,4327,3115,1172)(754, 2787,2904,3622,2603)(756,2400,4090,2015,3190)(760,3499,2066,1732,2022) (763,2700,2526,3612,1168)(764,4361,2225,4083,1211)(765,1983,1611,2401, 3911)(768,2114,4227,1138,919)(769,2955,2380,2067,4543)(771,935,3834,1620, 1847)(772,4167,2884,1711,4124)(776,1807,990,3254,1640)(777,3889,1581, 3915,1785)(778,2480,3187,1579,892)(780,4082,2946,4145,1831)(781,1437, 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(3389,3447,4510,4280,4146)(3448,4425,4017,4405,4097)(3575,4120,3926,4040, 4484);