LowerImageLimit = {
7480,	9898,	10138,	10168,	11111,	9386,	3823,	3712,	9113,	9872,	9591,	9555,	8958,	7919,
9774,	10112,	9972,	9872,	10728,	9627,	9495,	9349,	9200,	9109,	8708,	8607,	8080,	7878,
9815,	10139,	10003,	9905,	10765,	9679,	9615,	9471,	9255,	9145,	8734,	8630,	8112,	7934,
9816,	10144,	10008,	9912,	10775,	9689,	9628,	9483,	9267,	9154,	8748,	8645,	8121,	7938,
9842,	10167,	10025,	9930,	10799,	9707,	9643,	9498,	9288,	9173,	8764,	8661,	8135,	7950,
9863,	10189,	10047,	9947,	10819,	9725,	9655,	9515,	9305,	9192,	8784,	8679,	8149,	7963,
9898,	10215,	10074,	9970,	10843,	9744,	9676,	9534,	9326,	9214,	8804,	8699,	8166,	7979,
9905,	10223,	10078,	9974,	10852,	9748,	9678,	9534,	9328,	9214,	8802,	8702,	8169,	7985,
9955,	10265,	10122,	10024,	10899,	9796,	9718,	9573,	9368,	9256,	8843,	8734,	8194,	8011,
10000,	10304,	10158,	10056,	10933,	9828,	9746,	9601,	9396,	9282,	8869,	8765,	8233,	8041,
10050,	10343,	10202,	10097,	10980,	9870,	9784,	9635,	9429,	9312,	8898,	8794,	8259,	8067,
10135,	10403,	10255,	10151,	11041,	9927,	9834,	9687,	9485,	9373,	8956,	8851,	8311,	8120,
10254,	10485,	10334,	10231,	11131,	10008,	9914,	9763,	9558,	9444,	9023,	8912,	8371,	8181,
10513,	10583,	10405,	10298,	11196,	10069,	9964,	9812,	9608,	9489,	9073,	8966,	8420,	8222,
8215,	9361,	9508,	9607,	10647,	9763,	9854,	9891,	9888,	9963,	9701,	9787,	9449,	10076,
8276,	9429,	9575,	9677,	10730,	9832,	9926,	9966,	9954,	10022,	9760,	9842,	9497,	10088,
8289,	9444,	9593,	9692,	10747,	9848,	9946,	9980,	9972,	10035,	9773,	9854,	9505,	10087,
8363,	9533,	9685,	9788,	10852,	9948,	10044,	10084,	10074,	10141,	9870,	9954,	9599,	10171,
8404,	9582,	9733,	9840,	10909,	9997,	10087,	10129,	10128,	10193,	9921,	10004,	9644,	10208,
8471,	9657,	9811,	9920,	11005,	10086,	10175,	10215,	10218,	10281,	10002,	10078,	9712,	10273,
8533,	9727,	9886,	9997,	11087,	10162,	10245,	10285,	10289,	10349,	10067,	10145,	9775,	10325,
8619,	9828,	9993,	10103,	11206,	10266,	10346,	10379,	10392,	10456,	10174,	10247,	9864,	10409,
8683,	9900,	10066,	10179,	11282,	10341,	10416,	10457,	10471,	10534,	10246,	10320,	9932,	10461,
8266,	9199,	9333,	9436,	10379,	9585,	9661,	9698,	9714,	9772,	9541,	9614,	9282,	9763,
8351,	9292,	9423,	9528,	10482,	9681,	9750,	9790,	9806,	9867,	9629,	9699,	9358,	9828,
8454,	9400,	9538,	9645,	10606,	9799,	9863,	9901,	9916,	9978,	9740,	9803,	9454,	9907,
8521,	9478,	9612,	9720,	10698,	9880,	9942,	9980,	9998,	10059,	9816,	9882,	9522,	9953,
7295,	9339,	9576,	9687,	10659,	9842,	9897,	9937,	9954,	10010,	9757,	9809,	9392,	8959,
}
UpperImageLimit = {
12467,	16497,	16896,	16947,	18518,	15643,	6372,	6187,	15188,	16453,	15985,	15925,	14931,	13198,
16290,	16854,	16621,	16454,	17880,	16046,	15824,	15582,	15334,	15182,	14513,	14345,	13467,	13130,
16359,	16899,	16672,	16508,	17942,	16131,	16025,	15785,	15426,	15242,	14557,	14384,	13520,	13223,
16360,	16906,	16681,	16519,	17959,	16148,	16047,	15806,	15445,	15257,	14580,	14409,	13535,	13230,
16404,	16946,	16709,	16550,	17998,	16178,	16071,	15830,	15480,	15288,	14607,	14435,	13558,	13250,
16439,	16982,	16745,	16578,	18031,	16208,	16092,	15859,	15509,	15319,	14640,	14465,	13582,	13271,
16497,	17025,	16791,	16617,	18071,	16240,	16127,	15890,	15543,	15356,	14673,	14498,	13609,	13299,
16509,	17038,	16797,	16624,	18086,	16247,	16130,	15889,	15546,	15356,	14670,	14503,	13615,	13308,
16592,	17109,	16869,	16706,	18165,	16326,	16197,	15956,	15614,	15427,	14738,	14557,	13656,	13351,
16667,	17173,	16931,	16761,	18222,	16380,	16243,	16002,	15660,	15470,	14782,	14609,	13722,	13401,
16750,	17238,	17004,	16829,	18300,	16451,	16307,	16059,	15716,	15519,	14830,	14656,	13766,	13445,
16891,	17338,	17092,	16919,	18402,	16546,	16391,	16144,	15808,	15621,	14927,	14752,	13851,	13534,
17090,	17475,	17223,	17051,	18552,	16681,	16523,	16271,	15930,	15741,	15039,	14853,	13951,	13635,
17522,	17638,	17341,	17164,	18659,	16782,	16607,	16354,	16014,	15815,	15122,	14943,	14033,	13704,
13691,	15602,	15846,	16012,	17745,	16271,	16424,	16485,	16480,	16606,	16168,	16311,	15749,	16794,
13793,	15715,	15959,	16128,	17884,	16387,	16543,	16610,	16590,	16703,	16266,	16404,	15829,	16813,
13814,	15741,	15989,	16153,	17911,	16414,	16577,	16633,	16620,	16725,	16289,	16423,	15842,	16812,
13938,	15888,	16141,	16314,	18086,	16581,	16740,	16806,	16791,	16901,	16450,	16590,	15999,	16952,
14006,	15970,	16222,	16400,	18182,	16662,	16812,	16882,	16879,	16988,	16535,	16673,	16074,	17014,
14119,	16094,	16352,	16534,	18341,	16809,	16958,	17025,	17030,	17135,	16671,	16797,	16187,	17122,
14222,	16212,	16476,	16661,	18479,	16937,	17075,	17142,	17148,	17249,	16779,	16908,	16291,	17208,
14366,	16380,	16656,	16838,	18676,	17109,	17243,	17299,	17321,	17426,	16957,	17078,	16440,	17349,
14472,	16500,	16777,	16965,	18804,	17235,	17359,	17429,	17451,	17557,	17076,	17201,	16553,	17435,
13777,	15332,	15556,	15726,	17298,	15975,	16102,	16163,	16189,	16287,	15902,	16023,	15470,	16271,
13919,	15487,	15705,	15880,	17470,	16135,	16250,	16317,	16343,	16445,	16048,	16165,	15597,	16380,
14089,	15667,	15896,	16074,	17677,	16331,	16438,	16502,	16527,	16629,	16233,	16339,	15757,	16512,
14202,	15797,	16019,	16199,	17830,	16467,	16570,	16634,	16664,	16766,	16359,	16470,	15870,	16589,
12159,	15565,	15960,	16146,	17765,	16403,	16496,	16562,	16591,	16684,	16262,	16348,	15653,	14931,
}
