check_posibility.py

import unittest

class Solution(object):
    def checkPossibility(self, nums):
        """
        :type nums: List[int]
        :rtype: bool
        """
        i = 0
        if(len(nums) <= 1):
            return True
        
        while(i<(len(nums))):
            add = nums.pop(i)
            is_ascend = True
            for j in range(len(nums)-1):
                temp = j+1
                if(nums[temp]<nums[j]):
                    is_ascend = False
                    break;
            nums.insert(i,add)
            if(is_ascend != False):
                return is_ascend
            i+=1
        return False

'''
class TestUM(unittest.TestCase):
 
    def setUp(self):
        pass
 
    def testPosibility(self): s = Solution()
    self.assertEqual(s.checkPossibility([4,2,3]) , True)
    self.assertEqual(s.checkPossibility([-1,4,2,3]) , True)
    self.assertEqual(s.checkPossibility([4,-1,2,3]) , True)
    self.assertEqual(s.checkPossibility([2,3]) , True)
    self.assertEqual(s.checkPossibility([5,1,2,3]) , True) self.assertEqual(s.
    checkPossibility([6851,2828,1613,3425,3488,1083,1931,9609,5535,938,5789,47
    59,7306,4387,9069,1053,7252,966,1147,2312,102,6701,37,3992,7469,3771,7274,
    3978,402,6557,2927,200,4796,3722,9190,9868,265,1231,3814,1341,646,2040,291
    5,4461,346,1882,7366,9761,5084,7399,9044,9711,2150,5564,3379,3239,9351,854
    3,5000,9201,4774,6616,2835,3969,7519,3060,2762,6638,6590,5661,7169,2721,20
    95,3258,7954,831,4049,7898,8240,5272,934,6479,9048,5747,4401,467,1984,5298
    ,1962,9433,6289,1851,6997,5708,8644,626,6977,3529,7941,1770,3092,614,9122,
    9978,9641,8853,7787,1025,4835,2752,5232,8390,5650,6668,3544,768,4351,8131,
    1564,4472,6744,9995,6234,663,7264,6166,6475,8832,995,6839,7608,9613,4893,2
    561,7956,825,3787,8563,1310,902,6614,5788,2864,3162,8286,6331,8688,9032,58
    91,5786,4928,3935,3085,9367,8984,5442,8124,3613,7009,67,4745,2930,7018,923
    0,1594,8650,7551,932,4964,1001,6198,8960,5189,7291,4058,2590,5888,4489,941
    0,6169,4775,6363,8720,3030,5536,8351,5578,5261,8046,6012,2562,2914,3415,95
    12,1157,6623,4793,8791,100,7149,3558,2394,2200,6494,8647,2344,7628,8077,73
    68,3052,6804,8039,8557,9116,7412,6460,2288,2595,2166,386,6969,6501,2047,87
    54,4027,9252,7611,8533,1832,6966,7966,9456,8995,6476,2852,7379,8498,116,35
    82,2245,9941,5351,9900,7756,5372,7689,3563,3983,2606,5307,5453,7697,2553,9
    84,5074,7669,5665,6047,2182,3926,5840,5895,7414,6224,1196,1074,6699,2472,7
    523,2272,7052,3272,8106,7385,7744,5032,4149,2139,5181,4114,2580,9381,5080,
    7618,8660,4965,5384,5713,3521,3788,4738,9745,1474,7539,2258,8843,2640,2056
    ,832,2954,1731,2185,636,30,5005,222,6152,1821,13,5589,451,5717,6847,7148,5
    77,4713,6573,4763,5127,4172,8847,256,5090,1503,3802,5439,8530,5144,6843,93
    95,5828,1791,6264,5623,376,6287,2420,426,480,9818,9023,5927,6477,4465,9130
    ,1255,227,7221,4437,9364,1755,8418,9446,4,5659,2526,7245,8400,5404,9863,18
    99,3034,7642,1227,5107,4677,5811,4355,2809,8487,3622,5683,9024,7889,3189,2
    215,1003,217,1605,3618,7855,1265,1844,6232,523,1973,7099,1895,8415,8743,82
    66,6343,6657,7237,5933,2388,7506,5806,9345,7977,7094,1671,2532,440,5793,71
    40,4794,5223,8633,2050,3729,9752,4897,4711,81,8915,920,7576,7913,6336,6533
    ,8910,8521,2969,9954,4831,3457,1701,7115,4747,6137,4398,2921,9779,2671,975
    1,2916,1507,5787,1729,2418,8526,658,1057,441,7302,751,6576,1072,3074,3987,
    4083,3736,3813,2945,9581,7995,1811,4821,7649,3098,1628,1351,8561,6162,6215
    ,1343,9965,2197,1609,999,2815,9002,8461,6412,737,2632,5913,8576,4477,4609,
    1960,7388,6535,3022,4353,9309,1009,1531,4791,2274,2814,6079,9146,6935,1340
    ,8293,7244,3042,1722,5894,499,3602,339,5165,186,2670,6108,8686,477,3585,79
    33,4237,8112,5868,7033,6984,8314,5838,9362,7090,6924,5726,5501,9895,5843,9
    466,8578,2750,3552,73,6056,3606,8094,7540,1433,1987,8334,5382,8403,1327,88
    96,8734,5698,3442,4615,6107,4643,4075,4752,6789,6106,4817,6229,9592,193,52
    90,3205,2807,9643,1487,8907,2287,2765,9838,8325,7741,4828,7620,19,7534,868
    5,6738,8954,796,1665,8977,7766,8531,8934,6112,4647,8716,1956,296,8824,1155
    ,538,72,6402,6376,4095,6486,9950,9124,4602,452,4074,3964,7377,53,7543,4672
    ,4899,3402,2929,1725,425,7106,8767,1334,520,904,7142,620,602,5415,7621,995
    7,3341,4619,5015,3340,9778,8278,4160,3798,6452,7992,3298,9699,9370,4408,19
    27,5692,5448,3832,7846,8756,9247,5092,6756,9268,8332,4756,2560,8229,7975,5
    483,901,7253,4914,3876,4485,8961,3816,6374,2581,3398,6688,2517,9093,3654,2
    77,1886,632,7429,2033,2415,2624,830,2958,6140,2126,5360,8812,5327,5013,416
    6,4349,543,3006,4145,5432,66,4558,3214,6815,6560,8395,6958,7289,338,5637,7
    595,4120,6987,9691,2510,409,8084,2972,4223,9339,9137,3346,8411,2898,4674,2
    771,4175,4130,7637,2487,1061,4440,4591,6762,6235,2493,2952,6322,8360,2512,
    4181,5757,9671,9966,2090,3988,6154,9374,158,9693,3687,1120,8975,9217,2167,
    9025,4107,7118,3329,3044,7864,4787,2401,7844,1814,1666,6736,7137,8983,9814
    ,7317,3429,8593,2705,4861,7882,6960,5584,7477,5204,9721,1395,4010,9842,548
    0,6409,5076,1226,4777,6196,6356,3286,208,9644,2845,7919,5286,6685,3423,690
    9,1974,4084,6751,8303,8482,4463,8163,8352,1234,430,8437,9583,6243,5514,423
    6,2463,4045,4476,7233,6037,5314,9829,6785,5361,972,1495,1394,2081,6247,500
    8,78,3275,7495,4622,4568,9703,9841,1017,9242,8943,3503,8830,3523,364,9448,
    1249,3873,7674,1301,7228,9886,6406,688,7043,4863,8658,7745,2088,8141,9746,
    5474,7706,1022,6358,3760,2602,5733,4693,8140,1634,3095,5569,2168,2241,7728
    ,4560,9065,2370,6597,9436,7695,4786,5633,3804,9543,449,1020,919,1792,3062,
    5109,9901,1240,4825,4060,6043,377,8101,604,4246,4915,433,6624,2743,8142,12
    99,2549,8320,8790,38,4066,9706,42,6610,6017,5003,4632,8572,3443,6478,9801,
    8265,3914,1575,699,4194,378,7339,6622,6571,4425,8522,9874,7489,5555,885,10
    96,9443,5980,9223,875,1926,1316,241,7268,7581,5710,7350,5748,2115,74,991,7
    089,2202,2404,7758,6541,5545,5177,7248,7696,7734,1445,2717,2429,9575,3196,
    2371,8831,6499,2305,9944,7512,7639,3621,9727,1978,6407,4113,7416,3688,3830
    ,531,5872,7609,5214,5926,4888,3536,9780,682,3010,304,7234,8490,5373,502,79
    62,327,6981,7797,1525,172,2800,3068,727,7592,6643,3642,7536,8218,3519,6893
    ,8072,205,6211,8003,1946,6142,7161,5352,3614,6803,5190,9421,9119,5313,9977
    ,6865,8305,6537,4611,6335,4322,535,3965,5632,82,4877,3024,5839,3825,5343,3
    426,4012,4090,4415,2171,8172,2839,8134,6395,545,344,5720,2860,8559,3053,89
    67,9726,4797,3351,1502,447,1077,3390,5952,7850,580,3626,6451,2113,8407,123
    8,4371,3297,9432,1272,3712,9836,2176,8033,2285,4110,7369,1188,5914,6002,63
    02,4206,6832,5631,6724,4760,548,167,4612,2829,329,8030,1389,4354,704,6020,
    5588,5571,723,9235,847,9830,6187,6010,2619,6978,1140,9682,4911,7446,8748,2
    723,8925,5178,2715,3002,2345,6364,0,4032,820,9851,6446,2328,7678,1429,9605
    ,3815,8773,3387,1848,6045,2142,5075,5266,6388,9322,1687,6126,1041,2402,985
    6,8641,8270,7946,1869,8991,9905,7081,9979,5849,5617,572,6813,9656,7080,607
    3,6891,6319,7345,2194,2888,8889,8043,1051,5572,3312,3260,6156,9896,6323,82
    92,8632,2071,3868,596,1411,5200,660,9458,8942,3911,7096,2730,23,4992,9318,
    6018,3453,558,4762,3338,2368,9081,794,4073,9176,4385,7829,9619,7813,612,76
    3,4637,4586,7777,6147,4822,3318,6199,4430,1268,8783,5429,5550,4002,5124,68
    56,446,9893,2544,5386,587,1841,905,2955,6985,3530,3686,7249,1727,6949,8200
    ,8784,541,2524,3492,8329,3105,564,1809,4912,8504,7025,556,2695,7307,7316,1
    294,7257,7390,1076,3147,5210,4214,708,5465,2145,2366,4198,7449,5736,14,109
    2,5544,4684,3836,968,9405,7300,982,7723,2266,1098,9170,7955,1393,4129,5457
    ,4414,8717,1932,1373,4412,6863,9788,2080,8695,7362,6686,1454,8525,5188,696
    1,3533,2321,5224,4321,8294,9731,8011,3844,7591,5758,8554,4481,3991,7641,68
    ,789,5030,2031,8868,4105,4663,7370,122,8127,3867,4165,3197,3768,9357,954,4
    474,5049,9418,935,7389,9077,2522,9090,3112,9135,8259,4974,3973,4920,5252,8
    596,561,6900,4294,6378,7601,4230,306,9248,9198,273,6598,1308,8310,7804,828
    8,9857,3420,9685,9430,9510,1342,8880,4494,8729,4512,6255,6944,8024,9149,86
    3,4718,955,6595,4525,5354,2782,2991,5240,9889,2447,4630,9398,125,7596,7874
    ,9618,3623,9478,4697,7873,3008,7891,1491,1833,4547,257,1585,2630,4566,2964
    ,9962,2281,4947,1377,4728,4443,4372,4250,1689,2361,2587,4689,2041,6870,277
    6,6933,5796,928,6133,2141,9192,2959,1443,4696,2034,6889,4703,2053,4065,582
    1,1379,4859,4229,9334,9290,1654,5682,4569,8613,5316,2881,5652,8260,5746,54
    64,6520,7071,2997,7719,3741,8950,8921,5487,2704,2010,5426,7807,6325,4707,5
    978,5548,5174,7395,2680,9273,7039,7923,6666,1972,4057,7280,1788,3578,5977,
    4191,9926,8806,3431,1312,4259,6049,1455,9882,8939,6431,1790,3450,1557,4539
    ,5106,3186,6746,4287,7066,7740,2677,841,2087,2436,9233,903,6088,2992,4018,
    6927,3549,3097,6316,7917,6372,1828,8174,9504,1819,5975,772,4641,4451,9948,
    3780,1016,6989,2584,4979,8180,4395,442,7800,6577,6422,9112,9483,5336,374,6
    087,1772,2077,4687,2228,3984,5390,9743,6488,501,8634,8416,4709,8179,347,59
    08,3575,3949,2961,5587,1635,5869,2631,5451,340,6992,4607,840,6634,1944,501
    9,9756,5012,8772,5685,5412,5949,2324,6875,7095,9824,3517,1735,317,9563,956
    0,3670,8042,518,198,702,2962,947,4535,44,9884,1977,9125,6048,7367,3347,806
    0,7730,2154,2124,160,390,366,8253,3411,4202,5227,6065,6867,2340,2230,5454,
    945,6983,3567,6283,8744,2224,1565,6531,5667,9913,27,4771,5663,3000,8926,95
    17,9368,1207,628,804,9009,677,6208,4880,6578,1797,8009,2003,748,8040,7823,
    9114,637,8168,7482,6990,2076,1202,7837,3872,858,8258,1497,8648,9654,7848,3
    894,4508,2467,3903,1338,2244,3144,7646,4386,6139,8448,8392,9951,3477,8318,
    9865,2851,9240,8820,5857,8626,5798,4625,918,5179,9306,4467,4247,2520,314,8
    540,576,7301,8952,5143,9660,9826,8994,7243,2,7969,6192,7496,3334,1518,7150
    ,7164,3586,3679,9883,3501,7944,1090,8269,4182,774,4644,3223,8491,540,9961,
    9666,6860,7792,7982,1990,7840,3115,7034,1583,4519,9625,6998,279,292,5790,6
    937,8321,4433,9659,7593,6432,8058,3758,4941,3733,7672,5916,7288,6678,5163,
    3439,3261,422,8864,9697,2151,4966,6662,521,1761,4309,3209,7842,2503,4396,3
    878,8049,453,5213,1421,1269,7365,9383,5792,672,4590,4528,9822,6718,631,660
    4,9665,4578,418,8677,229,4929,352,5136,6174,7690,5502,590,3384,3033,6554,8
    173,9162,1590,4327,2468,6588,5045,4118,2448,7046,9723,9528,9308,7980,8183,
    1592,9505,8608,7942,2858,5185,1488,1089,7453,7450,9679,7838,3550,1700,2357
    ,1029,423,2038,8076,7006,8432,4563,3999,6373,4455,5038,4334,9246,7899,5304
    ,3732,5145,5622,6442,1408,4390,2990,47,1631,9928,4673,1650,5703,3762,2801,
    4810,659,6747,3316,4991,9593,7320,5707,1138,2692,3099,1574,5644,581,7437,5
    612,4380,6110,8589,6318,6361,1482,3553,7346,6841,7184,8745,8990,1581,6153,
    2107,5680,9526,2794,8666,7036,5994,3901,3361,7240,1,582,5730,3336,4574,741
    5,6028,6430,9921,8382,8553,6131,9833,4001,8785,9189,6273,2221,8307,2216,96
    80,9993,2789,1416,9051,8489,5335,7901,8073,9827,976,9393,3633,9501,4219,37
    2,3414,5471,6427,917,36,4383,3581,3476,7712,482,1302,1680,2362,8881,297,24
    27,5520,1333,3624,6423,1290,5111,9837,5116,5139,8380,9937,1958,1820,3009,2
    566,595,2942,3482,8362,4291,5917,9582,475,1916,7124,3039,233,3466,8110,270
    0,4301,5712,6620,4603,4916,1028,8621,4882,5606,4579,4186,9329,3572,6559,70
    73,6883,9565,4755,1362,6954,1598,7655,1470,1928,4453,5886,7173,4429,1693,7
    493,3217,5648,7526,8220,5976,7410,1177,9083,1602,4710,6416,7974,3179,6189,
    443,3603,4063,6641,5687,7558,872,5322,2042,4208,2791,9529,8570,1732,2160,1
    643,3176,1517,8618,3070,2854,5610,6063,4480,9939,579,3958,7577,8087,2375,3
    475,7361,2674,4985,7004,8979,4270,1127,4737,4531,4975,1175,7684,4735,5044,
    7007,6495,3154,7265,6572,7916,75,6461,9547,2908,9844,6021,319,3244,6971,48
    24,450,2507,15,2268,8190,9197,5878,1645,9324,5602,6209,9153,980,6349,9490,
    6818,5041,9564,139,7607,7028,4257,5714,5552,2341,2110,9594,4543,3700,6793,
    302,1752,3518,5112,5879,5518,7910,1894,7604,6765,5385,4115,1448,7357,1365,
    468,1106,5967,5893,228,615,1696,6339,1237,6271,2497,7020,963,5292,9155,500
    4,8429,1080,3270,334,9181,3560,1375,6066,7352,8097,5146,9734,323,5243,6679
    ,5666,1485,793,1284,8467,260,1122,9154,5941,3200,5006,1176,5150,7574,5739,
    4184,5321,5205,1668,2919,2824,5141,117,6436,1330,6714,4078,1636,4651,2016,
    5955,2353,3817,4003,5699,9371,401,4239,9477,3107,3977,5995,2761,5837,5896,
    2358,9285,3587,1185,8582,5498,9470,5958,3218,4119,8308,5389,6834,1117,4216
    ,3786,683,7387,3789,5984,2217,3526,3864,3584,8219,8406,7522,1052,2663,90,2
    477,9513,3882,6410,479,8986,4026,7471,3310,7425,5422,9899,729,8047,7269,18
    58,7235,1402,8387,49,6459,8497,3385,9931,4754,1174,5942,6999,1260,1385,127
    0,4317,3963,3829,9160,3315,8542,7795,8517,8753,1058,5403,3638,7515,9973,75
    84,9636,942,202,3191,2054,8007,4423,7062,1637,8894,9646,8663,1091,3961,710
    1,7077,8709,8195,3925,5478,6522,8817,3291,9598,2988,1845,9540,1243,2528,62
    30,7487,7443,4820,8823,2648,2519,1989,7055,985,4853,6105,6413,8510,8063,91
    05,5776,5073,2673,3791,9143,2811,1838,2294,1859,7720,1130,539,8349,2849,80
    04,3356,4286,379,1837,6239,2024,6649,2387,7404,9388,6711,7351,7659,1521,75
    4,5130,8089,8702,8657,2557,9915,8662,9209,9800,52,9498,439,8348,4690,3790,
    4838,4656,5901,5419,506,3148,3057,6204,8455,7481,8171,1436,5681,3997,3615,
    7949,2013,2478,4830,7511,6380,1360,255,6838,2455,3100,9113,3321,7177,2078,
    1458,8421,8944,2243,201,5744,1638,2872,603,4748,9577,3319,678,3569,4389,88
    35,4682,1801,7029,4923,8869,9850,7993,8902,7504,3059,8537,5522,5768,9602,1
    469,3840,667,828,444,6769,8095,7498,4052,3323,4792,8146,6134,9657,2950,708
    3,7896,7343,9544,7988,6627,9017,7087,3005,2323,9585,56,5291,9269,8704,5560
    ,3898,5452,1125,1705,4701,715,4142,8970,1806,9997,1197,2286,8428,4379,7262
    ,4706,7022,9236,5418,3326,960,1275,5358,18,6072,414,4217,1515,406,5260,948
    4,4067,1706,9092,3792,9249,415,9379,5950,4933,2541,5142,4222,2912,1182,441
    1,7585,2745,4942,8813,7186,4288,734,9225,745,431,2094,8339,3930,3229,7945,
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    ,6003,3975,6680,1112,4694,405,7943,3422,3730,4545,8643,7664,4802,7329,3750
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    ,2064,5499,8299,7337,4228,6355,6722,3752,1576,7491,578,1203,9224,1142,9821
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    ,3363,4542,3449,5657,731,1562,4316,3505,9960,1566,1769,7040,9774,2729,3669
    ,7230,2755,4493,7605,8625,998,534,3036,1132,7143,892,1253,8601,4272,9232,7
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    ,4033,1742,4782,4993,7656,5367,4173,5001,3248,5724,8690,7213,8295,3921,119
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    ,8324,9558,2296,7746,2688,6786,6725,5345,3371,6691,6103,2201,8092,5066,759
    ,3054,3020,7464,5961,5948,5740,3986,689,6179,8012,1876,2079,9264,2265,6505
    ,9226,5479,2120,1540,445,1667,3957,1949,1805,3570,4956,8057,5262,180,3271,
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    56,2867,2987,4840,4628,4721,2859,3677,6362,2857,5756,8574,5406,594,3151,95
    41,5288,5956,2882,119,9099,5732,925,1063,7285,801,7392,7212,3807,8109,7088
    ,6922,1115,2963,1262,1252,4510,3531,766,5767,1264,4205,8029,8978,9754,2785
    ,3050,950,9454,5737,1479,7648,9212,5450,2231,4077,9616,9168,6345,4785,3459
    ,5876,3937,9546,8514,870,1975,5158,6710,2697,5865,1332,1580,1246,1348,4561
    ,1163,514,5774,8175,9912,3717,4901,8778,3880,3083,2616,9597,3184,9974,2020
    ,2180,2585,571,4005,1256,5595,2694,3048,5344,8757,8396,2893,4844,4813,5910
    ,6449,2812,1930,924,1982,6401,3917,9686,4617,1560,5381,5938,4680,2554,7562
    ,2214,7463,9797,9588,6829,7396,8108,9722,9039,6089,4550,9199,4303,4582,619
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    ,5997,6820,3330,5795,707,8157,6982,971,7849,3413,197,3920,1554,6819,4265,8
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    ,3845,1589,3891,5265,1460,9870,7645,5140,3974,9120,8385,4650,3667,6390,758
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    ,9596,641,6261,9349,2545,8417,9747,274,8606,5568,7403,9898,9907,466,633,53
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    ,5968,8811,368,5626,6310,7711,2911,9415,3691,2542,5729,9708,6796,4962,9947
    ,1011,3433,7152,6800,7857,6111,756,2316,4886,4818,9864,4306,3014,2137,6912
    ,8849,9976,8787,7503,5565,5819,4421,6022,2725,3812,196,2556,8735,7200,9391
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    ,6633,4507,9417,6168,3653,8284,5215,8564,8028,8398,6523,8473,6421,777,2586
    ,9843,931,9037,3216,6480,6340,7157,5607,5533,1573,6962,6807,7859,6931,4417
    ,6712,2937,2774,1807,2458,2643,268,2610,8054,470,687,2983,2813,1427,7630,4
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    ,1088,8479,9538,6941,6596,191,5921,8885,6734,2649,303,3604,1494,1184,3554,
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    ,7098,4937,9438,6672,4359,108,8818,8726,9310,1716,8346,7129,6385,9096,8605
    ,7182,8874,9295,7466,2308,5207,187,8638,25,8261,6228,8858,171,6667,3225,74
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    ,8598,1311,8158,1896,790,4784,4874,3564,3211,9184,718,721,6360,7011,2936,6
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    92,1398,9873,3616,7299,1860,7454,8680,8298,8750,5101,4445,8495,7114,1318,8
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    14,9622,4426,8842,6405,8086,3472,6868,7267,9521,9985,10,717,6266,3676,7509
    ,5823,6717,9766,9828,5370,7510,6574,1901,8844,4085,1047,3659,9704,5939,143
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    ,8691,6425,1756,9102,4800,9809,9386,1124,3728,7600,2091,4934,216,557,1309,
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    ,5641,7791,3045,6682,1902,6565,532,4639,8164,3086,6007,2015,5337,3182,6697
    ,6636,4185,83,970,3141,2158,726,5992,9737,6906,5889,7310,7847,8768,5211,97
    39,6277,5791,3257,5858,9175,5598,4300,5137,6805,1855,9573,320,5328,7378,33
    27,5411,8945,5656,7555,724,5905,4515,9515,6953,2656,8354,407,9163,8434,374
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    72,5649,5330,3754,1683,1942,7597,2451,9401,537,643,2804,5268,5312,5490,783
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    00,6433,1762,4418,5129,483,2681,9958,1641,6429,3672,2152,5320,2419,412,985
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    ,8187,2728,3743,5476,2999,1971,1854,5883,5437,4164,3241,909,1703,1303,7764
    ,2173,2629,4723,2376,1241,5778,2719,6468,1561,5309,9658,886,1143,5960,9832
    ,9556,4872,923,1300,9508,290,1119,6586,4152,2799,3857,9735,3129,4276,1131,
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    ,7699,6370,3120,8615,8368,7965,8005,8761,6514,2257,2877,5263,846,1633,9696
    ,6200,3689,2226,2626,8528,9820,103,6917,1186,1248,9866,4506,7821,3090,1160
    ,9695,5494,2848,6296,1983,1440,9063,5833,5362,5009,635,7151,6637,1578,5810
    ,8121,1151,246,7165,7041,3484,1412,413,2474,8041,8162,1835,4082,9074,394,3
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    ,864,1339,7408,7589,4987,3237,3646,7215,1920,8475,1991,8420,4366,362,819,2
    236,266,269,2793,8016,6333,4368,5027,3976,243,8697,9890,189,4116,1871,5269
    ,5850,4128,3778,416,7038,1099,7796,4336,2653,4648,1775,1481,1285,2810,5349
    ,6059,9303,8273,5875,6934,5119,6737,6178,2475,2453,3772,1976,3307,9570,863
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    ,1073,4308,3649,5770,5566,4241,4599,7486,29,1888,3913,3931,6369,9222,1034,
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    ,247,3458,1757,7552,669,2023,3955,8309,1223,6776,2381,8373,650,4750,1228,1
    279,4124,8231,9111,8444,2913,7057,747,3680,1276,4548,6707,2036,8985,969,29
    3,4867,3,1787,70,7845,1008,527,7912,4670,4715,1647,3599,2985,6019,7128,262
    2,3360,8924,4995,4678,2698,4804,4004,9733,5300,7708,8654,9981,5356,9603,59
    19,7160,4720,1355,6848,4292,4845,9897,2068,7470,9038,9489,3502,8873,7072,8
    636,8922,1459,41,3486,8766,5931,6665,8169,9591,6923,7102,7232,5725,6673,15
    71,1591,6784,3781,6758,2505,1146,833,7051,4054,9380,9811,2262,6265,7042,44
    54,2270,5803,7834,3087,1748,6801,7768,1695,8972,4302,5563,6770,8882,2213,5
    492,3331,3685,7666,1878,2690,6328,7716,6619,607,2367,8810,9523,1712,3785,6
    365,5273,6652,8872,6351,3140,4056,7010,7134,5691,9214,8402,8445,5575,7497,
    4705,8128,6547,8651,46,5319,7091,3748,9663,8205,6094,328,5521,8546,3632,81
    29,7602,7331,7480,1887,484,1812,2720,3357,9390,3839,4889,4279,4376,1425,20
    52,6210,5781,2378,9955,3181,8607,5704,5231,2319,1002,956,9243,8610,2627,15
    55,4862,9140,4837,1967,248,3389,472,8669,9174,7658,7547,3309,1625,8148,102
    6,6777,3067,2398,6618,3203,3021,1794,7537,8856,5334,941,8923,2711,2608,776
    2,7909,8312,9909,8508,456,3887,5194,8760,3343,7017,460,5528,3146,3421,7737
    ,3885,9313,6259,8583,1173,3247,6532,1141,6693,8401,2251,2051,4141,9615,858
    1,1822,6030,2830,5688,9590,3675,4176,5182,3631,775,128,380,2441,6562,1493,
    9964,9006,7394,6854,6141,8964,6702,4501,6389,5394,7755,508,7738,4305,9442,
    5947,6029,7836,134,5577,1024,4671,1815,6464,2240,9869,6295,6498,3130,1824,
    7398,7960,9455,3946,4722,5206,9867,8149,127,4487,4702,9772,4134,1261,5668,
    9014,997,165,9422,7508,5117,8469,242,5547,1849,4668,4352,7911,5745,7687,45
    8,3551,3013,944,4856,2844,6695,634,6527,7794,2984,2926,1213,4053,2613,420,
    5339,1313,9759,4209,2739,104,3954,4171,2331,5596,1406,3448,6279,8120,8624,
    5932,2297,3487,1783,4225,2887,168,7667,309,5716,664,6334,6270,4221,4139,98
    3,6456,5794,2454,7175,8178,3695,2780,5226,3432,3720,7254,6207,5060,2892,95
    42,1999,348,7680,8920,8210,3539,1644,3681,6171,7085,7786,613,3174,476,7990
    ,4280,9234,9404,5990,9670,4989,2014,3664,1904,3617,1653,5463,6591,6443,964
    9,2757,8100,8222,1350,3916,5721,6974,6536,3377,8476,7936,5627,9576,113,931
    6,8890,3684,2806,3243,8059,4258,1758,5039,9007,2267,9261,5055,873,2351,104
    8,5435,4179,2412,3366,597,5409,4196,2826,7613,7986,9550,1778,8114,1827,621
    ,7827,2181,7624,7784,4593,9429,6676,8683,1765,930,7420,4708,4020,2391,8228
    ,680,64,3113,7692,912,8082,5482,7474,4816,8838,9479,3941,6808,6764,3454,87
    15,5064,9777,7905,5132,8594,5643,2734,7880,3692,6254,5253,1516,4953,8369,5
    340,5972,7865,1087,1070,4475,3495,1206,3294,1274,8102,7452,7983,4422,9525,
    7524,1086,5684,6544,7929,2716,7380,5333,4235,2172,9369,3753,5254,2842,8048
    ,8,9503,880,915,6052,7359,5028,910,4931,2300,9250,3081,2509,1587,2445,8955
    ,3706,1050,3401,385,7951,7226,322,1842,761,357,2611,1247,4460,301,7587,882
    7,5365,8895,7904,1640,1259,5400,9129,2678,185,2112,8161,9196,7714,7158,523
    9,325,803,3765,9994,6032,9642,7194,7104,1867,9042,609,5440,8221,9839,3342,
    1674,3194,7119,5860,8723,8652,421,6031,6940,692,2423,9495,574,7438,2336,26
    76,7407,5831,6346,7229,8714,2574,4189,3354,3620,1556,4523,7715,3424,4393,1
    915,8067,3463,6640,1103,4342,9825,3609,2529,8804,8470,1694,1181,1889,6117,
    3701,6556,3851,7423,3199,7984,8484,5495,2083,3405,5491,8645,2589,9238,9713
    ,2001,3702,8764,4330,1679,1128,9320,1170,701,4245,3226,2966,3757,4323,3441
    ,3222,7108,3594,2298,4959,1190,3461,4144,1546,4666,8560,4486,1280,6109,207
    3,2588,9574,883,4204,7236,3204,843,3499,8252,3568,4470,9148,9186,4498,7893
    ,510,7170,6821,2007,6482,132,8931,9219,5061,146,5983,3627,3498,4698,7375,2
    022,8746,4583,8850,9775,6608,1690,8364,5217,9008,2790,1857,8342,5082,4608,
    2280,60,7629,6632,2641,7670,6183,9786,1498,2355,5434,2037,5662,4158,6408,6
    716,6566,9425,1021,2431,5654,5996,8710,2074,3635,5749,2920,1817,4138,3440,
    6391,3545,8424,1055,857,4918,5108,8151,3240,7153,2563,9363,69,7100,2096,50
    07,2165,8851,674,1384,3185,5135,2636,9389,8098,7704,9180,5832,622,1329,619
    5,8727,6151,199,5295,1981,7500,7465,259,9637,9511,174,2140,6150,7718,1423,
    4894,9018,9902,7008,8494,4490,3746,5468,7752,9744,9022,5561,6426,9193,9409
    ,810,1846,3619,1924,9302,9709,6950,6877,4346,855,3514,7625,1121,4419,1156,
    8276,1544,7266,9434,3282,9420,2190,258,4712,5249,8904,7405,4039,1220,4629,
    5310,9211,9452,6175,1588,6845,6555,4505,1450,4324,3735,6824,2747,2573,7123
    ,7528,4623,6188,5046,618,8486,3388,4367,986,4312,7060,5248,7105,6305,6238,
    3934,5743,5466,6453,4757,8381,9831,7024,9231,4549,1736,1537,2195,278,5848,
    2406,8814,9506,1596,6952,1520,3469,388,4640,9031,6213,4449,3480,1626,2108,
    3859,8322,6185,2379,4814,958,7782,5105,7191,1380,1891,5892,9076,9645,8774,
    2546,5864,5053,8930,3037,5505,5002,867,9089,6833,9052,4770,149,2048,5157,7
    544,6713,2188,8588,8502,1938,2658,1075,2850,893,3538,1306,9462,9005,5880,8
    008,4051,2615,6878,6524,6244,3534,753,5782,7304,1031,3478,8372,2462,1661,2
    550,2772,1218,1720,4059,12,2028,8017,2742,2220,9935,4079,5873,7187,2865,70
    93,1376,1233,1477,3447,2374,5694,4264,5282,6473,4192,1608,7294,1283,4564,3
    796,9755,4988,6648,2162,5233,515,1910,5519,9437,2369,4413,9730,5567,2738,6
    79,8481,2856,1446,1358,3470,3158,5882,9848,7421,4282,3994,5816,2317,8023,7
    709,9312,2862,9712,48,213,9620,9816,2659,8203,1129,3250,8463,1417,1100,925
    9,330,3658,1015,7866,9150,3232,7063,2348,1463,951,7788,9041,4016,1935,9776
    ,3827,9034,7295,6506,9568,2947,7222,5723,4055,8083,9690,7542,5930,5553,866
    5,3723,6231,5220,1764,8496,3220,9108,9053,2538,821,8722,2575,6729,4069,766
    2,3252,5209,3509,4536,5592,3255,9572,3600,4006,7895,5219,8993,7406,7319,18
    56,1948,6552,1622,2123,4972,4661,7742,4773,547,398,553,6064,3079,3849,9946
    ,7409,2313,215,3737,5152,7384,6332,8091,2979,9793,8891,4873,3230,3269,234,
    746,5765,232,6383,7335,8001,2343,5303,8861,6469,2239,333,9139,5906,9152,62
    25,5355,7610,8629,5766,8419,4473,2067,5238,8973,3543,7729,6884,1368,7127,3
    32,3407,6570,130,3834,1911,824,9325,207,2125,5664,3227,5420,8451,9796,1786
    ,3773,8326,120,7144,6549,711,5554,8103,6910,8892,155,4378,9203,5585,94,169
    2,2933,3126,2525,4533,4127,2514,6869,6202,2333,1834,4575,9330,2599,6123,69
    01,716,9753,9667,1527,9440,9634,627,6044,6155,4022,6704,5763,5242,2279,704
    8,5516,7686,7061,3178,1442,835,8747,225,5467,5350,2069,5323,7579,4660,8350
    ,8006,1863,337,1750,7372,6599,3707,3283,3922,5679,8207,1709,2885,4598,3108
    ,9853,2443,5962,2460,7205,6462,8786,6400,3797,4000,8412,853,8692,9016,4431
    ,8397,4562,219,6583,1118,9358,5530,4839,1335,6814,5134,4665,6625,6543,1111
    ,8903,2646,3324,6973,6472,1684,3373,5195,2121,7189,2075,694,9400,4409,7538
    ,7330,9485,4806,1745,913,7188,2838,9423,2103,5332,110,7156,7830,6237,3212,
    391,8899,35,3465,839,9806,3967,5543,3856,9787,5741,9887,2232,6687,9710,877
    6,1883,5410,1620,3504,1195,6929,5317,2620,9770,1523,4080,5727,2275,6434,96
    33,2199,1422,8815,8536,3437,2855,2792,6054,5653,7044,1331,907,591,1957,719
    3,2516,3847,8656,6918,8136,6314,2085,9519,3119,8399,4996,8676,3546,486,192
    1,4704,8541,9182,7386,2693,9237,55,7136,3485,9348,4544,9499,9537,2133,2283
    ,7001,7139,2382,8038,3403,7959,2490,8138,93,7132,3959,6899,3117,313,4441,6
    497,3234,7290,3353,1952,6811,3500,6290,6027,3884,619,8186,3451,4739,2377,7
    39,9557,9019,2932,7994,6979,4633,6096,50,5023,2577,8798,4277,6503,6539,926
    0,4471,8159,526,6026,3710,331,1449,263,6484,9177,487,8826,9132,891,5427,88
    79,9846,8875,6904,9578,8731,9098,1840,9227,8779,2309,4600,6690,6201,8460,3
    479,8981,6517,6767,6,8568,8119,5801,7000,8857,3731,4997,2559,8708,76,9692,
    2605,5619,3944,5907,7441,684,3527,3608,3418,8485,686,2817,8389,8154,7502,7
    967,4201,3831,9372,9257,4231,8147,9684,5998,6647,9648,5523,3863,8763,3995,
    2184,9559,9110,2104,6091,9262,3557,2899,5638,7622,1105,6311,2637,1114,5618
    ,7798,9840,585,214,9790,7284,1669,8649,2269,8201,5660,448,144,5531,7616,20
    17,3593,2724,2093,5541,2993,7957,8659,5110,9518,981,7218,9834,2691,151,259
    2,8439,3455,5608,588,8707,546,6748,4849,8425,1839,4314,3515,1968,2837,8327
    ,4147,5830,5722,3150,4587,4104,175,2153,861,8859,8050,7348,6445,6274,4332,
    1133,6755,5459,8328,1719,3367,1191,5433,9377,887,2664,8391,3164,8075,5760,
    2896,2302,3711,3919,4876,8123,5133,2625,6726,4101,7533,2571,8356,648,2623,
    2062,9651,5636,4724,6752,8693,4468,7162,8565,1686,9861,1781,2326,8732,4654
    ,5123,2143,61,5583,5987,8413,9750,6659,6502,9617,4183,5953,8271,9626,6731,
    9171,3167,8728,965,6463,1597,9676,5255,5267,8579,6706,5853,6692,7888,8079,
    1456,4764,4976,3287,9524,5388,8250,3177,2186,230,6420,7548,485,513,5899,73
    36,6932,494,7703,4428,9073,123,4636,8302,760,8122,4227,7298,1721,9967,9919
    ,9638,9606,6592,8257,2986,7475,6253,693,639,6773,624,9304,1359,5993,9091,8
    66,6603,3755,6508,4140,3355,2894,7196,2876,4857,8393,6919,4391,2320,7107,3
    42,8243,8917,9549,1381,9942,8932,3208,4416,5614,9502,1134,8477,5164,6113,4
    679,80,7683,899,8674,2989,3663,6739,8841,6656,2327,8191,5971,1767,8552,334
    5,4921,2617,7334,6650,7556,2424,5014,3794,9630,2295,2164,3883,8126,5299,88
    84,1947,9903,5601,8846,1779,9629,392,5183,1401,2397,4900,3640,1831,9000,27
    67,5556,9748,4048,9337,7920,5170,6862,2004,705,3907,8280,4504,524,6719,919
    5,567,1913,6948,9514,9984,8795,3764,360,387,9539,5705,1966,1542,7426,1367,
    6129,9356,8217,143,2650,45,9487,5234,2928,4858,2539,2943,8145,5421,3966,71
    90,4358,6242,6553,7568,2261,1345,496,1154,2065,2657,3726,1584,7884,1258,10
    84,5383,7643,5087,5236,5413,4068,427,2783,6548,495,6908,3190,948,8232,8315
    ,8474,3224,7750,2146,6060,7820,1198,2347,9522,59,9702,493,8371,3579,1354,5
    513,5731,4620,2039,5526,8807,324,1486,4973,1363,8789,432,3628,6006,89,9035
    ,311,2134,6759,5509,7580,9533,6100,9178,2306,826,3311,1929,1539,5010,2144,
    99,7567,7023,2491,9872,375,3295,8238,1698,8410,4331,8331,2682,3548,6496,26
    86,4977,8639,4464,7049,9281,6440,3592,973,542,6609,6873,9228,3464,6709,360
    1,9387,5428,6705,2645,2905,121,6127,7824,2568,3393,5504,7484,1505,5755,948
    2,7145,7120,6119,7785,2311,8248,6193,5280,2192,3473,4392,7853,188,1652,757
    2,6956,4905,1685,299,1830,9068,163,5193,3460,6670,4254,3317,5489,321,4394,
    555,9054,7606,566,836,3089,7998,8738,1171,4649,2796,5369,8556,8068,5814,75
    75,1909,5784,1307,4220,898,7462,3661,6145,3180,2282,9474,5191,6538,6778,15
    19,353,7418,9553,2875,4970,3643,6892,4009,842,1747,2607,6143,4601,181,6337
    ,1032,5709,8209,92,2668,7867,3555,3132,7633,3666,1326,8306,2492,212,6457,7
    069,7014,9072,4210,281,943,4783,9595,9534,8673,5430,9673,5296,284,8379,275
    4,1023,2709,3696,2651,1468,3990,8185,8699,4645,7841,5347,2764,8622,2600,39
    09,8104,1572,7065,3302,4405,4958,9147,7931,8966,7517,6418,8721,5222,8505,2
    870,3145,8614,9321,9878,551,1617,4111,762,3266,2788,9157,1267,8447,5397,10
    33,2465,9531,7566,5341,4895,8115,6896,5121,3524,8936,4483,4011,9326,5446,9
    497,4446,638,154,5909,3936,1941,9859,6317,1599,7981,1879,7934,2390,4275,17
    46,3284,6248,6925,8802,1317,7079,5431,6240,3923,5734,5035,4540,2403,1823,2
    918,7031,8279,509,4159,1404,7710,974,6886,1672,8912,6664,9463,5424,389,161
    0,6653,9561,6157,9554,805,1282,7801,2938,5246,1802,6772,6124,9004,6792,647
    1,8300,2744,20,9486,7569,6377,9516,3088,6053,6116,1386,4444,4108,9847,9520
    ,5678,2948,9288,2740,6674,5153,8025,9934,4881,9781,7176,5738,9253,1785,443
    5,8363,3589,3017,4807,6874,975,2260,584,6887,8821,9084,8345,9049,3028,5625
    ,3940,7125,3111,3858,690,3625,6078,3837,1431,6626,9384,2994,235,1893,2787,
    5785,2291,1877,8192,1232,2089,5655,1629,5529,6689,4621,9188,7879,5148,6902
    ,7770,4753,267,4028,9650,6621,9043,849,5069,9700,9945,785,2315,1740,4178,1
    286,8070,4328,2726,2163,6291,7400,5752,575,1504,7724,5658,5201,8304,4580,8
    845,8227,8548,6104,7948,1165,6414,7958,9144,2763,4780,3038,2299,9134,9627,
    2235,4588,7342,7434,599,9970,8125,4211,5100,5423,7458,5099,2884,8245,8848,
    28,5251,6447,9311,4062,4509,6474,5735,9029,9350,1489,5097]),True)
               
 
if __name__ == '__main__':
    unittest.main()


'''