data:image/png;base64,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:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeAAAAFoCAYAAACPNyggAAACtUlEQVR4nO3BMQEAAADCoPVPbQwfoAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA+Bo3+AAF/RMkcAAAAAElFTkSuQmCCRun time increases as you increase the input

guess2

Not in list

true

9,7,8,1,11,12,21,22,23,24,73,73,96,9920,12,3,100,50,123,62,3,4,6,6,7,32,3,4,6,7116225,792,5137,2963,6584,2392,6917,6760,2566,3030,8112,378,201,1998,9188,8672,3491,2643,2218,3320,7865,9218,9166,7453,2702,9432,6080,6971,5406,4534,7700,3643,3060,4883,5059,540,5246,6187,2841,4427,3764,5177,1323,9301,7254,9919,531,148,5161,4891,4875,9794,2296,3177,3593,5759,4130,4395,5153,2488,5467,6281,5256,9319,9149,5804,8705,476,5533,9758,7421,3926,6789,5776,1132,4952,8737,5919,1787,8139,3519,2609,8185,8799,2408,2364,1764,9857,3991,9430,5441,6970,7629,7749,5690,150,703,2203,7981,1572,873,3173,2879,2795,7827,7809,7177,2631,8132,3776,3711,898,6572,2077,5065,4043,7157,9441,4573,28,9552,3310,3891,9251,9260,4205,5420,8730,5796,907,2922,9285,4127,3074,9285,1131,389,4319,5609,9793,3356,144,962,813,2947,58,8771,8026,6572,752,4238,4889,3769,1732,5707,9172,4562,5837,4714,9388,7213,5265,3966,1727,5715,3746,5399,2878,7465,1381,1315,6041,1759,4905,9287,395,4042,1558,6660,7535,972,7245,5560,2427,4406,2064,8370,4889,5473,7540,5874,4804,9982,2487,995,3944,9390,9383,7845,6952,2118,1026,2044,1264,684,9613,762,3758,4323,7624,413,3062,9571,1560,5804,7167,5093,981,372,269,109,7209,2600,9996,7322,7373,3057,4419,4578,7719,1413,8978,2265,6050,4132,2010,7735,159,6320,914,6565,8567,9162,2237,741,8974,2921,8035,5676,8170,4742,5037,2586,621,2734,7226,1800,1086,7768,1370,3256,9679,3604,5206,9041,8366,6920,5075,5863,1842,5493,9665,5993,4914,298,7336,8716,6948,3979,9702,9627,7237,3179,1592,6490,4408,5622,8369,5192,3564,5085,3260,2853,9043,8464,4816,3865,6713,3004,196,699,5540,6212,4889,5887,8352,2995,8766,770,4789,6907,7276,1136,4815,8984,849,8511,8644,7320,3237,6692,1832,2428,1454,7595,2837,7948,6593,6089,738,7290,5539,8365,3185,3693,2097,5501,6323,9167,2539,7732,8817,66,172,3392,1581,8026,251,6902,5592,1648,7396,3200,3025,1654,2521,6909,368,7219,3184,1770,8452,6369,3825,1900,777,7747,7245,2358,4607,1306,9695,2258,8590,7715,2115,7128,9268,2134,5767,374,2682,4831,8543,3279,5516,2041,9051,9181,3088,2264,277,2343,2234,9037,1607,3008,9155,1482,9389,6278,1057,1426,1625,559,1432,5259,9801,6306,5420,9454,2035,9750,4087,3656,1700,7871,6232,2779,9448,2691,5220,3282,976,8631,5934,4995,7891,5607,6058,698,6657,7984,5668,2413,1317,1797,3824,1683,7409,993,3281,8532,3844,4272,8240,2187,5890,8231,4283,2652,7977,2990,2991,3708,1902,2061,4726,5287,1340,7278,1619,3075,8527,2351,4333,9709,9248,4512,5471,6935,2001,206,7233,9188,7328,1434,5201,5196,3762,1326,4324,1264,380,9442,1757,5121,8862,8521,3982,5298,8216,4506,5266,8535,2953,5677,6569,9005,8269,3165,3548,2491,1512,4998,814,3766,9486,2135,9851,2342,9843,8805,1907,9175,3432,702,8033,6640,4388,8189,4342,9525,8879,777,4464,9851,8508,7658,9871,6001,104,4855,7189,8519,800,5682,9868,4739,5454,3203,6601,183,404,3800,5271,6730,9256,1989,1843,1582,8023,4198,9975,6597,3575,748,788,2166,3337,5087,9130,453,3861,1211,5564,9989,9081,2037,9125,2929,7700,6732,8907,6311,2383,8415,1322,1176,2046,152,4561,6750,5726,9929,3328,8454,2355,624,5312,4320,7634,1340,6707,6471,4324,6674,6423,6014,6905,1222,2541,1991,8303,2988,7712,1550,3356,7012,9669,1703,7047,8059,8649,9669,1348,5812,6288,4187,8274,8360,1213,1513,3977,8977,6068,2556,8239,6404,3565,9009,6051,5661,3389,8754,1821,6958,4475,4546,2807,671,1549,3408,3004,2187,6550,6225,5112,753,9667,929,5662,6409,2597,3499,8676,1138,1617,6452,5946,8863,8167,7310,2759,7725,6267,8918,3916,7384,9135,2117,8852,8356,7021,8227,6733,2309,3519,7837,1107,2438,8255,3947,5895,2279,8293,8993,2404,9391,6215,7686,5272,7418,2600,9292,6977,3285,7421,1484,6501,7332,3537,5312,1672,7224,5766,5934,9869,854,3469,1954,2314,453,7347,2983,7232,5220,6076,3800,2063,7987,3578,8469,2275,968,1302,7505,2299,6632,9611,3919,9088,514,7636,5409,1500,5396,386,5507,2977,4628,8546,7767,5323,8854,7869,8653,5199,9302,9345,6229,7582,8413,1776,6085,7653,8582,1382,670,862,323,9121,9341,4621,7731,6362,4195,7819,7736,2172,2223,9886,2423,8210,8505,3995,4101,936,9976,8997,5932,4323,1200,7768,1170,4207,6442,1919,1684,6827,9645,3998,6873,8647,2145,6764,4781,916,8491,4258,7051,8742,6106,2510,2251,6002,9323,3971,5708,2225,8139,5193,5760,8950,9400,4537,5348,4674,1535,8897,3515,1661,5082,8728,4750,4401,9034,2956,5953,150,269,4615,9112,1884,3268,5061,8928,9599,2212,9700,1158,6211,7306,6483,926,161,5135,4696,4853,8547,788,6019,5576,8697,1905,4337,7817,3425,2385,262,154,1559,7624,6756,8301,5403,1198,5209,1426,7007,4416,2730,2011,9663,1309,4835,2410,706,6772,6816,9423,4836,2199,5569,2988,9615,8387,2769,349,6715,4437,4824,2625,3043,3376,7052,9638,8706,1431,5057,6436,8025,5409,7850,4571,6968,475,6428,3555,1127,5894,2263,6805,7864,4652,277,8307,8331,5739,5962,3756,465,316,5143,8655,2167,6822,3447,8648,829,6499,5408,5490,1681,7260,8894,3647,5206,6782,2377,2007,1563,4794,7984,1156,2082,5656,690,1398,9638,8375,9058,7645,6173,4087,9062,5435,9642,2453,9370,3146,7323,2027,2233,6676,5732,6782,4284,4694,3613,4420,936,1483,1813,573,872,3412,2911,3369,7689,5679,4646,3085,754,4805,4712,5969,3774,4544,921,8285,9349,44,7075,7758,1091,6895,817,1083,6727,7604,5114,8025,4341,3397,1752,908,9240,6282,6253,6217,524,4913,5474,8622,9614,7787,7052,1234,1607,9167,8657,3505,5590,4336,7316,1779,4921,2057,3971,5742,4440,7534,209,1404,234,352,9505,276,7920,3245,1178,4016,2339,9442,8798,8413,8977,6244,9722,262,2426,9505,3431,2046,891,2191,2460,9942,3202,550,1713,7225,2581,2159,836,8129,1817,1195,8259,6306,9637,9864,2850,5849,4846,6576,5500,937,1243,6821,9945,6567,5328,4438,1288,4385,3776,7167,9894,8569,1975,816,3653,2852,6476,337,7496,6941,2142,7141,6251,443,35,1758,5080,8442,2462,4723,1881,3587,2331,2451,5082,2110,3408,177,1633,2613,8634,6156,7274,9606,1579,6483,3237,9128,7917,6841,4555,377,7126,5168,5879,1293,4892,7748,2356,9675,1380,4877,4497,7408,9667,5331,5437,8611,4004,5100,8683,1207,8945,9758,3236,4835,4716,3354,6102,8885,3697,7112,8532,9347,3603,8885,304,5052,6551,6384,7403,2590,4293,1149,9444,3137,6824,907,2610,8643,5439,5479,1099,1037,9256,5333,5236,8200,4150,7886,3289,2363,7523,2471,6839,2774,1334,3974,3390,5755,3314,3445,4400,3785,1903,2731,4062,6890,2739,9086,6002,9095,7477,2481,9677,4665,4834,902,7061,3434,9838,1903,1531,4277,1371,9935,6268,9486,2331,5666,2066,2713,8271,5977,8013,4959,3051,1790,9215,6506,1940,8479,5866,8447,3792,2131,5804,1082,2369,7772,9245,7008,5531,934,3375,1946,2202,4777,4129,1671,2756,9513,8931,5321,4937,8923,7038,8809,8748,6757,3328,9227,1569,6080,2984,2366,2189,6904,1488,1954,5954,7664,8266,3159,8981,683,5274,7173,9179,4968,9166,7391,3565,862,8110,5511,9422,9224,3012,8773,7227,499,9448,1485,7309,1759,587,5230,7408,1125,9254,9488,1956,7557,5526,4548,6476,9499,1831,697,5714,6610,5122,9672,589,8093,3761,7172,4965,1322,5476,8832,5845,9062,1087,1081,3593,9458,1732,4952,4774,4152,9575,9275,9024,1753,3233,3892,2516,3883,5736,5176,5605,7136,6209,141,7523,5428,4064,5340,2253,1060,7666,255,2919,204,8926,8962,7062,3008,1450,2251,3500,8588,6089,6745,4202,6992,2911,7335,4012,9299,3831,6544,9525,2985,4961,9451,3258,132,2372,5369,6474,4324,6936,4941,8953,4302,2043,2570,909,2294,5822,4285,9211,4370,4224,2643,8112,3461,5431,2240,500,29,8426,2566,8219,5225,2666,8046,7309,3301,852,7005,3281,9495,5168,4038,3550,7513,1426,197,4305,5369,6659,6854,691,7135,2489,5632,8862,5609,5673,3767,6199,4287,3272,8682,27,5161,7483,9084,4804,9380,2831,6278,3051,7897,163,7057,9973,5290,3037,8360,5303,7233,918,9761,1347,7307,5689,6471,9106,4774,6207,2921,7349,3434,7702,5541,4420,3081,8303,3554,8724,7040,7246,1718,8802,2321,5804,4971,8353,5549,3179,3797,4443,5885,6408,3562,3067,163,3004,9387,7892,6911,5906,7054,6112,2331,1110,9654,9279,4649,7945,8491,9803,5353,1556,6824,4384,3653,5444,3164,7316,8551,38,5855,2066,8120,2641,2115,6300,5082,979,1526,2222,3523,6284,3117,7777,6820,4844,7941,7723,665,151,2003,2097,8847,8667,1544,7667,8346,8947,3494,9774,2565,231,1903,6006,6683,236,1322,4902,9379,3125,3609,6339,4067,2437,9088,5844,819,5856,4894,6978,8288,3431,2359,1338,9855,7267,6656,120,5198,2835,2477,715,553,3511,7880,8996,339,6341,4674,3098,3219,8999,1401,3393,2496,4336,8255,2508,7231,5872,1828,9520,6095,506,2212,6798,2661,2597,5969,3778,9517,5795,6781,6731,4972,1030,5776,8855,5939,7676,668,6831,2521,537,2578,1371,5484,7069,3090,8977,8191,811,2510,6315,2346,1028,427,1131,6812,866,4760,5838,7215,3263,4856,2967,3762,2428,8323,3146,6135,9002,4353,9665,3361,8242,8873,9438,8981,1579,2146,4497,7823,1302,9905,2159,3041,9580,4194,1861,5979,5964,8924,6929,2604,6814,7607,3478,1019,9905,9819,3695,4501,4123,7887,2204,7339,9612,9327,1360,7538,7077,7300,4714,7314,7149,6069,1553,1646,8642,6646,3710,7460,2091,7018,2494,6159,3461,6880,9972,7677,770,6877,3700,8821,4440,5924,3871,5988,8259,6229,6754,4691,415,6684,1143,2675,5566,2368,1922,7523,4491,1337,6503,4239,5402,5879,9878,5191,2780,4220,5011,1779,8763,1499,2737,8584,1301,794,472,8512,9476,5384,8125,9719,8481,9039,5724,3691,4885,1597,385,2895,3717,1753,7360,4959,8013,5653,1694,695,6980,3456,2082,5756,7901,795,731,8685,6770,6881,2019,220,4164,3995,1597,4907,2033,6369,7341,9432,7803,4289,2420,8084,7695,9600,8320,6458,1213,6564,5636,633,2598,5929,4597,5987,23,8732,6140,3205,1858,2015,4378,2888,2098,2533,825,2012,5438,9436,9284,4481,5036,7148,2041,3021,4363,5639,7982,8050,9356,6466,7114,4452,4499,7041,7862,9222,4412,4087,1712,6132,8746,6213,8169,5248,9366,2987,2556,9073,6560,1046,841,6962,8483,6541,8318,4827,7250,2497,3373,2386,4270,1184,4958,9581,964,122,3326,565,8816,7799,7869,1067,8630,8576,5924,6785,8294,9960,4967,1176,1139,6003,5797,6512,4710,4033,4584,5362,58,7074,1300,9301,4705,9800,5256,2934,6790,3859,9849,3953,3705,1577,4305,2801,5847,5304,4954,5341,2325,302,9371,6763,3392,985,5713,7911,1968,5523,4359,1271,847,2522,2984,8745,1864,6613,7181,9484,3797,8677,4603,1813,4812,4425,2727,927,2589,7043,4206,9461,3439,5982,4682,126,5947,1268,1136,430,5866,6435,4413,8934,6246,7978,2077,4953,3219,2026,4474,6784,9131,3952,1067,1065,4240,896,6222,6724,256,641,9129,5905,2760,5751,3762,641,7246,3779,546,2957,384,501,5008,4469,7879,5840,3387,3476,8420,8463,8867,2930,6459,3862,1696,8625,357,9462,4269,7987,5625,8909,59,2799,4615,5864,1082,2173,4039,8823,306,9161,6504,3302,1267,620,8723,9298,8652,2171,3669,4689,9640,1046,9358,5789,7117,5300,1835,966,7115,5656,9849,3392,6762,1310,4150,8264,768,2758,8655,4582,3915,2318,9300,183,1620,2746,4065,8645,490,5366,4676,813,6135,4433,556,5223,782,1051,9954,4215,2800,8389,4696,2682,1397,745,1870,6523,4663,2026,4967,7541,5624,9802,184,3832,684,7160,3518,3774,3286,6815,7865,2413,5722,5471,1258,5306,9484,142,5816,974,1169,9142,5752,9582,4207,2566,6739,1253,6972,4895,7016,8193,808,8650,7058,5498,1691,7797,7854,2087,2868,3849,566,3993,849,1508,3119,4216,25,9015,1461,5296,5513,4952,6442,4257,5503,4615,4005,4704,5214,2906,9185,5773,1922,244,8514,5170,7325,5719,5510,910,3047,1249,3820,8172,4711,7413,1169,4668,6000,4512,3936,3136,5929,6556,334,7391,9305,5245,3573,1468,8653,3235,1391,4800,5227,5541,8210,960,2653,7117,2587,2657,3687,5034,7368,8612,6756,5928,1310,9794,2786,5672,8514,9030,9728,5957,9714,9165,266,6628,1200,3447,3812,5986,9697,886,4449,2176,1724,5940,3878,6856,6697,6889,3628,8461,6775,1411,8639,3214,4918,6740,1747,2490,4229,1498,8945,6822,7551,4852,1897,2398,4203,5196,6257,5839,5250,2352,4674,7364,7690,2643,954,905,5694,9829,4452,764,6507,1160,8583,7129,1925,1007,4815,6777,8555,8230,3328,4269,3827,7159,8883,8739,2225,6647,4639,6140,9389,8822,4846,5267,9983,957,3343,8295,6146,5678,8876,6015,5457,3549,8729,5675,8417,2915,6047,9346,7298,4230,1355,7190,4789,7005,2347,819,8725,9550,4808,9604,9662,8377,1709,3879,3314,4783,1576,2045,7346,6688,1615,1988,3176,3040,1432,6450,8849,9367,9153,6927,2463,7703,3305,7026,3602,9211,8899,6707,4275,7467,9490,5172,7925,1557,6735,3685,3711,9837,2764,1105,3285,8919,5572,919,640,4763,2338,7086,7290,1945,6593,870,7257,118,8030,5623,1687,5162,74,4649,3926,8581,4645,1365,5837,2388,8116,7192,8795,1922,5005,6943,9900,5615,8548,3919,8820,8152,9511,4848,9078,7110,2992,4907,8436,1259,9460,4026,1329,5316,3070,4582,3718,3117,2457,2720,265,4686,2407,8008,2418,3858,4717,8568,4081,1647,8479,3165,5129,7593,4150,5693,8305,8712,9849,7134,6479,776,4512,4729,8622,1057,7121,4539,7551,9588,7714,2666,869,5244,385,8278,4607,506,9678,8172,1036,8875,851,2356,2930,2463,181,4009,3695,4425,6922,4497,4659,5517,4761,8240,247,5571,5562,4640,4428,5219,1517,5201,1429,5631,147,2372,1142,4860,7409,8072,5852,6311,669,8274,6240,7670,8068,6653,5658,2566,9256,3859,8648,1737,2428,8631,8564,7281,8217,2012,6607,7689,8211,628,130,5216,7137,6697,1514,4693,6819,5530,9068,655,2779,2316,2905,3225,9099,7982,8810,5904,506,8037,7180,1205,753,9018,3488,4863,62,1674,4688,3647,4852,8404,4103,5199,1895,4723,6238,399,1889,2840,5613,1361,5191,7195,1232,8821,8048,8336,9752,3155,7599,1346,6491,4680,2441,6248,2762,4470,2189,5289,962,7898,1266,2840,4764,1897,9327,1144,9147,6453,2632,3297,7226,5294,7705,315,50,1106,7085,2606,2323,6096,1753,6502,9182,2314,7892,7287,49,7758,6957,1956,2515,4684,7270,1472,5007,1964,5426,6536,7754,6710,6270,6760,5268,368,7175,7267,3220,8036,241,209,6554,9029,6373,1828,3054,9736,6672,708,7813,7983,4789,7356,5318,2741,5180,5819,472,8072,9204,8378,5291,4304,5764,4347,3516,1437,4868,6587,7915,9359,7503,5432,2474,4178,4181,2278,1839,6866,1855,3845,3895,7467,5440,4745,4875,6455,4952,4796,7067,9409,2245,6822,7328,6708,1674,2888,9877,9014,2958,553,7438,7566,1754,7756,1809,3380,361,4851,9685,5870,88,3357,2631,5665,7301,1842,3239,2449,5794,9826,7992,2861,5278,2000,587,4084,4528,5285,8147,2505,2247,1567,7751,1145,3875,6314,1900,3166,3520,5198,8476,1495,682,1798,776,1598,1591,7544,3949,1286,745,6657,5826,891,6154,6690,9997,7667,5318,730,1507,9428,4614,5826,9496,5797,9834,4811,2917,1019,4365,1475,5391,3703,6619,4263,5268,9776,4211,3930,6262,6414,7655,9514,2249,6228,8179,2562,5036,9006,8120,8927,6326,986,9957,9659,4515,552,9257,9688,2728,1851,4828,788,4640,48,8870,2074,4683,369,7963,6786,6892,6300,5486,7811,6496,2492,7448,932,9615,8806,7986,7667,4841,4435,8048,6283,7910,8180,4524,6962,2086,4889,255,5611,999,4010,933,7565,3653,5389,2989,9427,904,7802,4414,9570,3103,9166,99,3372,1793,1136,2227,9707,9394,3390,868,9779,8528,7206,1608,4881,3863,4611,7755,1033,6767,7732,6239,9083,5132,1554,8289,2882,2186,4035,7214,5883,5677,4701,2421,6663,8362,5487,756,8613,9105,7122,7623,4778,3380,4068,4462,2305,5912,6943,5658,5939,2379,5895,1264,895,7369,3890,5515,8613,4083,3654,8672,9551,5122,6894,6430,5431,5949,7733,1528,8797,9033,7183,3013,3138,3725,5821,9528,9651,6720,4415,4938,3469,2985,7654,5975,2553,9687,9459,9477,3430,4594,7144,4353,675,4467,5504,1897,1933,167,4339,2073,2167,4082,2049,5846,6881,5269,9924,7934,9343,4784,5247,988,8607,7883,6548,8456,4961,8931,3772,7662,4472,5597,387,9031,9666,8299,5280,6890,4928,5571,8558,5863,5987,7869,2428,166,3502,4271,3239,5841,2622,9587,2083,4962,7830,510,6874,2179,9020,5281,3446,1054,1661,2485,2076,8742,3569,4653,1781,2345,7954,2185,1816,4050,3731,5859,3932,6313,8966,8502,9619,8061,8163,663,158,5891,9990,6021,2567,5488,4797,9596,7253,2590,8411,3903,1869,1966,1356,2260,7545,2591,9332,185,1509,8928,9448,612,860,3464,8328,7112,2112,1974,5720,9266,8088,4312,1725,2045,7388,6529,3145,3410,1955,6916,8770,6088,1734,3887,2565,6815,1733,7974,6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