ceremonyclient/nekryptology/pkg/core/iqc/residues.go

//
// Copyright (c) 2019 harmony-one
//
// SPDX-License-Identifier: MIT
//

package iqc

var residues = []int{
	23,
	31,
	47,
	71,
	79,
	103,
	127,
	151,
	167,
	191,
	199,
	223,
	239,
	263,
	271,
	311,
	359,
	367,
	383,
	391,
	431,
	439,
	463,
	479,
	487,
	503,
	527,
	551,
	599,
	607,
	631,
	647,
	703,
	719,
	727,
	743,
	751,
	799,
	823,
	839,
	863,
	887,
	911,
	919,
	943,
	967,
	983,
	991,
	1007,
	1031,
	1039,
	1063,
	1087,
	1103,
	1151,
	1159,
	1207,
	1223,
	1231,
	1247,
	1271,
	1279,
	1303,
	1319,
	1327,
	1343,
	1367,
	1399,
	1423,
	1439,
	1447,
	1471,
	1487,
	1511,
	1543,
	1559,
	1567,
	1583,
	1591,
	1607,
	1663,
	1679,
	1711,
	1751,
	1759,
	1783,
	1823,
	1831,
	1847,
	1871,
	1879,
	1919,
	1927,
	1943,
	1951,
	1999,
	2039,
	2047,
	2063,
	2071,
	2087,
	2111,
	2143,
	2159,
	2183,
	2207,
	2231,
	2239,
	2263,
	2279,
	2287,
	2311,
	2351,
	2383,
	2399,
	2407,
	2423,
	2447,
	2479,
	2503,
	2543,
	2551,
	2567,
	2591,
	2599,
	2623,
	2647,
	2663,
	2671,
	2687,
	2711,
	2719,
	2759,
	2767,
	2791,
	2831,
	2839,
	2879,
	2887,
	2903,
	2911,
	2927,
	2983,
	2999,
	3007,
	3023,
	3071,
	3079,
	3103,
	3119,
	3127,
	3151,
	3167,
	3191,
	3239,
	3247,
	3271,
	3287,
	3319,
	3343,
	3359,
	3383,
	3391,
	3407,
	3431,
	3439,
	3463,
	3503,
	3511,
	3527,
	3551,
	3559,
	3583,
	3599,
	3607,
	3623,
	3631,
	3671,
	3719,
	3727,
	3743,
	3767,
	3791,
	3799,
	3823,
	3847,
	3863,
	3911,
	3919,
	3943,
	3959,
	3967,
	4007,
	4031,
	4063,
	4079,
	4087,
	4111,
	4127,
	4159,
	4183,
	4223,
	4231,
	4247,
	4271,
	4327,
	4343,
	4351,
	4391,
	4399,
	4423,
	4439,
	4447,
	4463,
	4471,
	4519,
	4559,
	4567,
	4583,
	4591,
	4607,
	4639,
	4663,
	4679,
	4687,
	4703,
	4727,
	4751,
	4759,
	4783,
	4799,
	4831,
	4847,
	4871,
	4903,
	4919,
	4943,
	4951,
	4967,
	4999,
	5023,
	5039,
	5063,
	5087,
	5111,
	5119,
	5143,
	5167,
	5183,
	5191,
	5207,
	5231,
	5263,
	5279,
	5287,
	5303,
	5311,
	5351,
	5359,
	5399,
	5407,
	5431,
	5471,
	5479,
	5503,
	5519,
	5527,
	5543,
	5567,
	5591,
	5623,
	5639,
	5647,
	5671,
	5711,
	5743,
	5767,
	5783,
	5791,
	5807,
	5839,
	5879,
	5903,
	5911,
	5927,
	5959,
	5983,
	6007,
	6023,
	6031,
	6047,
	6079,
	6103,
	6119,
	6143,
	6151,
	6191,
	6199,
	6239,
	6247,
	6263,
	6271,
	6287,
	6311,
	6319,
	6343,
	6359,
	6367,
	6407,
	6431,
	6439,
	6463,
	6511,
	6527,
	6551,
	6583,
	6599,
	6607,
	6623,
	6631,
	6647,
	6679,
	6703,
	6719,
	6751,
	6767,
	6791,
	6823,
	6847,
	6863,
	6871,
	6887,
	6911,
	6943,
	6959,
	6967,
	6983,
	6991,
	7031,
	7039,
	7079,
	7087,
	7103,
	7127,
	7151,
	7159,
	7199,
	7207,
	7223,
	7247,
	7279,
	7303,
	7327,
	7351,
	7367,
	7391,
	7439,
	7463,
	7471,
	7487,
	7519,
	7543,
	7559,
	7583,
	7591,
	7607,
	7639,
	7663,
	7687,
	7703,
	7727,
	7751,
	7759,
	7783,
	7807,
	7823,
	7831,
	7871,
	7879,
	7919,
	7927,
	7951,
	7967,
	7991,
	7999,
	8023,
	8039,
	8087,
	8111,
	8119,
	8143,
	8159,
	8167,
	8191,
	8207,
	8231,
	8263,
	8279,
	8287,
	8303,
	8311,
	8383,
	8399,
	8423,
	8431,
	8447,
	8471,
	8479,
	8527,
	8543,
	8551,
	8599,
	8623,
	8639,
	8647,
	8663,
	8711,
	8719,
	8759,
	8783,
	8791,
	8807,
	8831,
	8839,
	8863,
	8887,
	8903,
	8927,
	8951,
	8959,
	8999,
	9007,
	9047,
	9071,
	9103,
	9127,
	9143,
	9151,
	9167,
	9199,
	9223,
	9239,
	9263,
	9271,
	9287,
	9311,
	9319,
	9343,
	9367,
	9391,
	9407,
	9431,
	9439,
	9463,
	9479,
	9487,
	9511,
	9551,
	9599,
	9623,
	9631,
	9671,
	9679,
	9703,
	9719,
	9727,
	9743,
	9767,
	9791,
	9799,
	9839,
	9847,
	9871,
	9887,
	9943,
	9959,
	9967,
	9983,
	9991,
	10007,
	10039,
	10063,
	10079,
	10103,
	10111,
	10151,
	10159,
	10183,
	10207,
	10223,
	10247,
	10271,
	10279,
	10303,
	10319,
	10327,
	10343,
	10391,
	10399,
	10447,
	10463,
	10471,
	10487,
	10511,
	10519,
	10559,
	10567,
	10583,
	10607,
	10631,
	10639,
	10663,
	10679,
	10687,
	10711,
	10727,
	10783,
	10799,
	10807,
	10823,
	10831,
	10847,
	10903,
	10919,
	10943,
	10951,
	10991,
	10999,
	11023,
	11047,
	11071,
	11087,
	11111,
	11119,
	11159,
	11183,
	11191,
	11239,
	11279,
	11287,
	11303,
	11311,
	11327,
	11351,
	11359,
	11383,
	11399,
	11423,
	11447,
	11471,
	11503,
	11519,
	11527,
	11551,
	11567,
	11591,
	11623,
	11639,
	11647,
	11663,
	11719,
	11743,
	11783,
	11807,
	11831,
	11839,
	11863,
	11887,
	11903,
	11911,
	11927,
	11951,
	11959,
	11983,
	12007,
	12031,
	12071,
	12079,
	12119,
	12127,
	12143,
	12151,
	12167,
	12191,
	12223,
	12239,
	12247,
	12263,
	12319,
	12343,
	12359,
	12367,
	12391,
	12407,
	12431,
	12479,
	12487,
	12503,
	12511,
	12527,
	12559,
	12583,
	12599,
	12631,
	12647,
	12671,
	12679,
	12703,
	12743,
	12751,
	12767,
	12791,
	12799,
	12823,
	12839,
	12847,
	12863,
	12871,
	12911,
	12919,
	12959,
	12967,
	12983,
	13007,
	13031,
	13063,
	13087,
	13103,
	13127,
	13151,
	13159,
	13183,
	13199,
	13207,
	13231,
	13271,
	13303,
	13319,
	13327,
	13367,
	13399,
	13423,
	13439,
	13463,
	13471,
	13487,
	13511,
	13543,
	13567,
	13583,
	13591,
	13631,
	13639,
	13679,
	13687,
	13703,
	13711,
	13751,
	13759,
	13799,
	13807,
	13823,
	13831,
	13847,
	13879,
	13903,
	13919,
	13927,
	13943,
	13967,
	13991,
	13999,
	14023,
	14039,
	14071,
	14087,
	14111,
	14143,
	14159,
	14167,
	14191,
	14207,
	14239,
	14263,
	14279,
	14303,
	14327,
	14351,
	14359,
	14383,
	14407,
	14423,
	14431,
	14447,
	14471,
	14479,
	14503,
	14519,
	14527,
	14543,
	14551,
	14591,
	14639,
	14647,
	14671,
	14687,
	14711,
	14719,
	14743,
	14759,
	14767,
	14783,
	14831,
	14863,
	14879,
	14887,
	14951,
	14983,
	14999,
	15007,
	15023,
	15031,
	15047,
	15079,
	15143,
	15151,
	15167,
	15199,
	15247,
	15263,
	15271,
	15287,
	15311,
	15319,
	15343,
	15359,
	15383,
	15391,
	15439,
	15479,
	15487,
	15503,
	15511,
	15527,
	15551,
	15559,
	15583,
	15599,
	15607,
	15623,
	15647,
	15671,
	15679,
	15703,
	15727,
	15751,
	15767,
	15791,
	15823,
	15839,
	15863,
	15871,
	15887,
	15919,
	15943,
	15959,
	15991,
	16007,
	16031,
	16039,
	16063,
	16087,
	16103,
	16111,
	16127,
	16151,
	16183,
	16199,
	16207,
	16223,
	16231,
	16271,
	16279,
	16319,
	16327,
	16343,
	16351,
	16391,
	16399,
	16439,
	16447,
	16463,
	16487,
	16519,
	16543,
	16559,
	16567,
	16591,
	16607,
	16631,
	16663,
	16703,
	16711,
	16727,
	16759,
	16799,
	16823,
	16831,
	16847,
	16871,
	16879,
	16903,
	16927,
	16943,
	16967,
	16999,
	17023,
	17047,
	17063,
	17071,
	17111,
	17119,
	17159,
	17167,
	17183,
	17191,
	17207,
	17231,
	17239,
	17263,
	17279,
	17287,
	17327,
	17351,
	17359,
	17383,
	17399,
	17431,
	17447,
	17471,
	17503,
	17519,
	17527,
	17543,
	17551,
	17599,
	17623,
	17639,
	17663,
	17671,
	17687,
	17711,
	17767,
	17783,
	17791,
	17807,
	17839,
	17863,
	17879,
	17887,
	17903,
	17911,
	17951,
	17959,
	17999,
	18023,
	18047,
	18071,
	18079,
	18103,
	18119,
	18127,
	18143,
	18167,
	18191,
	18199,
	18223,
	18247,
	18287,
	18311,
	18367,
	18383,
	18391,
	18407,
	18439,
	18463,
	18479,
	18503,
	18511,
	18527,
	18559,
	18583,
	18607,
	18631,
	18647,
	18671,
	18679,
	18703,
	18719,
	18727,
	18743,
	18751,
	18791,
	18839,
	18847,
	18871,
	18911,
	18919,
	18943,
	18959,
	18983,
	19007,
	19031,
	19039,
	19079,
	19087,
	19111,
	19127,
	19183,
	19199,
	19207,
	19223,
	19231,
	19247,
	19303,
	19319,
	19343,
	19351,
	19367,
	19391,
	19399,
	19423,
	19447,
	19463,
	19471,
	19511,
	19519,
	19543,
	19559,
	19567,
	19583,
	19631,
	19639,
	19687,
	19703,
	19711,
	19727,
	19751,
	19759,
	19783,
	19807,
	19823,
	19847,
	19871,
	19879,
	19919,
	19927,
	19951,
	19967,
	19991,
	20023,
	20039,
	20047,
	20063,
	20071,
	20087,
	20143,
	20159,
	20183,
	20191,
	20231,
	20239,
	20263,
	20287,
	20303,
	20311,
	20327,
	20351,
	20359,
	20399,
	20407,
	20431,
	20479,
	20519,
	20543,
	20551,
	20567,
	20591,
	20599,
	20623,
	20639,
	20663,
	20687,
	20711,
	20719,
	20743,
	20759,
	20767,
	20791,
	20807,
	20831,
	20863,
	20879,
	20887,
	20903,
	20927,
	20959,
	20983,
	21023,
	21031,
	21071,
	21079,
	21103,
	21127,
	21143,
	21167,
	21191,
	21199,
	21223,
	21239,
	21247,
	21271,
	21311,
	21319,
	21367,
	21383,
	21391,
	21407,
	21431,
	21479,
	21487,
	21503,
	21551,
	21559,
	21583,
	21599,
	21607,
	21631,
	21647,
	21719,
	21727,
	21743,
	21751,
	21767,
	21799,
	21823,
	21839,
	21863,
	21871,
	21887,
	21911,
	21919,
	21943,
	21991,
	22007,
	22031,
	22039,
	22063,
	22079,
	22103,
	22111,
	22151,
	22159,
	22199,
	22207,
	22223,
	22247,
	22271,
	22279,
	22303,
	22327,
	22343,
	22367,
	22391,
	22423,
	22439,
	22447,
	22471,
	22487,
	22511,
	22543,
	22559,
	22567,
	22591,
	22639,
	22663,
	22679,
	22703,
	22727,
	22751,
	22783,
	22807,
	22823,
	22831,
	22871,
	22879,
	22903,
	22927,
	22943,
	22951,
	22991,
	22999,
	23039,
	23047,
	23063,
	23071,
	23087,
	23119,
	23143,
	23159,
	23167,
	23183,
	23207,
	23239,
	23263,
	23279,
	23311,
	23327,
	23351,
	23383,
	23399,
	23407,
	23423,
	23431,
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	23503,
	23519,
	23567,
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	23599,
	23623,
	23663,
	23671,
	23687,
	23711,
	23719,
	23743,
	23759,
	23767,
	23783,
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	23831,
	23839,
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	23911,
	23927,
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	23983,
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	24007,
	24023,
	24047,
	24071,
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	24119,
	24127,
	24151,
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	24223,
	24239,
	24247,
	24263,
	24287,
	24319,
	24359,
	24383,
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	24439,
	24463,
	24487,
	24503,
	24511,
	24527,
	24551,
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	24599,
	24623,
	24631,
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	24719,
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	24823,
	24839,
	24847,
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	25031,
	25063,
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	25111,
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	25159,
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	25271,
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	25423,
	25439,
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	25463,
	25471,
	25511,
	25559,
	25567,
	25583,
	25591,
	25607,
	25631,
	25639,
	25679,
	25687,
	25703,
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	25783,
	25799,
	25807,
	25847,
	25871,
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	25919,
	25943,
	25951,
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	25999,
	26023,
	26063,
	26071,
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	26111,
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	26167,
	26183,
	26207,
	26231,
	26239,
	26263,
	26287,
	26303,
	26311,
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	26423,
	26431,
	26447,
	26471,
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	26519,
	26527,
	26567,
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	26599,
	26623,
	26639,
	26647,
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	26711,
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	26839,
	26863,
	26879,
	26903,
	26911,
	26927,
	26951,
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	27007,
	27023,
	27031,
	27047,
	27103,
	27119,
	27127,
	27143,
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	27191,
	27199,
	27239,
	27263,
	27271,
	27311,
	27319,
	27343,
	27359,
	27367,
	27383,
	27407,
	27431,
	27439,
	27463,
	27479,
	27487,
	27527,
	27551,
	27583,
	27607,
	27623,
	27631,
	27647,
	27679,
	27719,
	27743,
	27751,
	27767,
	27791,
	27799,
	27823,
	27847,
	27871,
	27887,
	27919,
	27943,
	27959,
	27967,
	27983,
	27991,
	28031,
	28079,
	28087,
	28103,
	28111,
	28151,
	28159,
	28183,
	28199,
	28207,
	28247,
	28271,
	28279,
	28319,
	28351,
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}

var sieve_info = []Pair{
	{17, 8},
	{19, 10},
	{23, 5},
	{29, 15},
	{31, 6},
	{37, 35},
	{41, 4},
	{43, 41},
	{47, 43},
	{53, 41},
	{59, 44},
	{61, 50},
	{67, 6},
	{71, 65},
	{73, 48},
	{79, 2},
	{83, 35},
	{89, 86},
	{97, 20},
	{101, 88},
	{103, 89},
	{107, 60},
	{109, 55},
	{113, 1},
	{127, 75},
	{131, 56},
	{137, 85},
	{139, 29},
	{149, 86},
	{151, 149},
	{157, 21},
	{163, 74},
	{167, 32},
	{173, 3},
	{179, 114},
	{181, 82},
	{191, 10},
	{193, 60},
	{197, 130},
	{199, 144},
	{211, 128},
	{223, 139},
	{227, 135},
	{229, 205},
	{233, 192},
	{239, 170},
	{241, 26},
	{251, 175},
	{257, 28},
	{263, 100},
	{269, 234},
	{271, 89},
	{277, 65},
	{281, 131},
	{283, 241},
	{293, 205},
	{307, 37},
	{311, 290},
	{313, 213},
	{317, 124},
	{331, 10},
	{337, 189},
	{347, 6},
	{349, 60},
	{353, 293},
	{359, 307},
	{367, 205},
	{373, 80},
	{379, 346},
	{383, 89},
	{389, 24},
	{397, 65},
	{401, 225},
	{409, 198},
	{419, 63},
	{421, 184},
	{431, 147},
	{433, 254},
	{439, 119},
	{443, 324},
	{449, 36},
	{457, 354},
	{461, 211},
	{463, 333},
	{467, 37},
	{479, 312},
	{487, 219},
	{491, 101},
	{499, 140},
	{503, 140},
	{509, 127},
	{521, 106},
	{523, 483},
	{541, 511},
	{547, 455},
	{557, 293},
	{563, 549},
	{569, 28},
	{571, 242},
	{577, 172},
	{587, 172},
	{593, 87},
	{599, 526},
	{601, 308},
	{607, 561},
	{613, 197},
	{617, 405},
	{619, 528},
	{631, 107},
	{641, 603},
	{643, 457},
	{647, 102},
	{653, 102},
	{659, 554},
	{661, 69},
	{673, 64},
	{677, 114},
	{683, 520},
	{691, 297},
	{701, 442},
	{709, 396},
	{719, 153},
	{727, 141},
	{733, 486},
	{739, 307},
	{743, 595},
	{751, 582},
	{757, 676},
	{761, 316},
	{769, 350},
	{773, 147},
	{787, 668},
	{797, 639},
	{809, 98},
	{811, 573},
	{821, 320},
	{823, 758},
	{827, 472},
	{829, 39},
	{839, 751},
	{853, 223},
	{857, 655},
	{859, 362},
	{863, 773},
	{877, 756},
	{881, 739},
	{883, 138},
	{887, 123},
	{907, 836},
	{911, 490},
	{919, 878},
	{929, 313},
	{937, 606},
	{941, 175},
	{947, 286},
	{953, 295},
	{967, 260},
	{971, 612},
	{977, 613},
	{983, 907},
	{991, 569},
	{997, 970},
	{1009, 556},
	{1013, 223},
	{1019, 877},
	{1021, 77},
	{1031, 364},
	{1033, 704},
	{1039, 18},
	{1049, 497},
	{1051, 79},
	{1061, 846},
	{1063, 1},
	{1069, 30},
	{1087, 251},
	{1091, 486},
	{1093, 467},
	{1097, 365},
	{1103, 134},
	{1109, 290},
	{1117, 184},
	{1123, 493},
	{1129, 524},
	{1151, 534},
	{1153, 704},
	{1163, 1033},
	{1171, 19},
	{1181, 701},
	{1187, 917},
	{1193, 790},
	{1201, 1141},
	{1213, 1066},
	{1217, 580},
	{1223, 823},
	{1229, 729},
	{1231, 1029},
	{1237, 661},
	{1249, 133},
	{1259, 1237},
	{1277, 1168},
	{1279, 1098},
	{1283, 732},
	{1289, 1167},
	{1291, 453},
	{1297, 787},
	{1301, 459},
	{1303, 518},
	{1307, 917},
	{1319, 29},
	{1321, 450},
	{1327, 1302},
	{1361, 58},
	{1367, 800},
	{1373, 353},
	{1381, 358},
	{1399, 512},
	{1409, 897},
	{1423, 651},
	{1427, 957},
	{1429, 1412},
	{1433, 1052},
	{1439, 1163},
	{1447, 457},
	{1451, 700},
	{1453, 91},
	{1459, 112},
	{1471, 126},
	{1481, 1155},
	{1483, 494},
	{1487, 432},
	{1489, 880},
	{1493, 797},
	{1499, 757},
	{1511, 1175},
	{1523, 201},
	{1531, 1097},
	{1543, 877},
	{1549, 876},
	{1553, 1092},
	{1559, 81},
	{1567, 282},
	{1571, 1009},
	{1579, 667},
	{1583, 1002},
	{1597, 287},
	{1601, 676},
	{1607, 865},
	{1609, 316},
	{1613, 1164},
	{1619, 892},
	{1621, 1455},
	{1627, 357},
	{1637, 1198},
	{1657, 729},
	{1663, 1113},
	{1667, 1476},
	{1669, 452},
	{1693, 1591},
	{1697, 1119},
	{1699, 1215},
	{1709, 143},
	{1721, 890},
	{1723, 1185},
	{1733, 1583},
	{1741, 1354},
	{1747, 413},
	{1753, 932},
	{1759, 1250},
	{1777, 1025},
	{1783, 1204},
	{1787, 1202},
	{1789, 1253},
	{1801, 1317},
	{1811, 1686},
	{1823, 267},
	{1831, 744},
	{1847, 341},
	{1861, 1676},
	{1867, 322},
	{1871, 1040},
	{1873, 1080},
	{1877, 1173},
	{1879, 1202},
	{1889, 1463},
	{1901, 213},
	{1907, 454},
	{1913, 1563},
	{1931, 131},
	{1933, 515},
	{1949, 19},
	{1951, 95},
	{1973, 525},
	{1979, 1120},
	{1987, 170},
	{1993, 1635},
	{1997, 446},
	{1999, 1788},
	{2003, 1569},
	{2011, 1903},
	{2017, 567},
	{2027, 1977},
	{2029, 888},
	{2039, 1487},
	{2053, 1474},
	{2063, 1244},
	{2069, 1806},
	{2081, 18},
	{2083, 3},
	{2087, 746},
	{2089, 836},
	{2099, 2077},
	{2111, 1030},
	{2113, 678},
	{2129, 796},
	{2131, 405},
	{2137, 415},
	{2141, 411},
	{2143, 1856},
	{2153, 1658},
	{2161, 41},
	{2179, 1038},
	{2203, 78},
	{2207, 2125},
	{2213, 863},
	{2221, 203},
	{2237, 551},
	{2239, 1524},
	{2243, 1999},
	{2251, 529},
	{2267, 585},
	{2269, 2004},
	{2273, 254},
	{2281, 180},
	{2287, 1394},
	{2293, 1699},
	{2297, 1315},
	{2309, 2087},
	{2311, 1911},
	{2333, 1898},
	{2339, 805},
	{2341, 228},
	{2347, 2175},
	{2351, 365},
	{2357, 298},
	{2371, 74},
	{2377, 350},
	{2381, 2134},
	{2383, 2071},
	{2389, 2036},
	{2393, 779},
	{2399, 2272},
	{2411, 1127},
	{2417, 937},
	{2423, 534},
	{2437, 455},
	{2441, 621},
	{2447, 530},
	{2459, 1372},
	{2467, 2370},
	{2473, 124},
	{2477, 427},
	{2503, 730},
	{2521, 1093},
	{2531, 642},
	{2539, 271},
	{2543, 1851},
	{2549, 1568},
	{2551, 1796},
	{2557, 130},
	{2579, 210},
	{2591, 1756},
	{2593, 1161},
	{2609, 1846},
	{2617, 869},
	{2621, 2192},
	{2633, 2509},
	{2647, 1230},
	{2657, 608},
	{2659, 406},
	{2663, 2364},
	{2671, 1104},
	{2677, 1032},
	{2683, 1143},
	{2687, 1041},
	{2689, 2610},
	{2693, 574},
	{2699, 2606},
	{2707, 2057},
	{2711, 1469},
	{2713, 1128},
	{2719, 1264},
	{2729, 2667},
	{2731, 931},
	{2741, 1093},
	{2749, 2384},
	{2753, 1537},
	{2767, 2303},
	{2777, 2730},
	{2789, 1763},
	{2791, 2478},
	{2797, 1204},
	{2801, 2246},
	{2803, 2289},
	{2819, 866},
	{2833, 2126},
	{2837, 2558},
	{2843, 219},
	{2851, 445},
	{2857, 1882},
	{2861, 1158},
	{2879, 1858},
	{2887, 583},
	{2897, 1016},
	{2903, 1040},
	{2909, 2051},
	{2917, 396},
	{2927, 1865},
	{2939, 1264},
	{2953, 2042},
	{2957, 2229},
	{2963, 2913},
	{2969, 155},
	{2971, 253},
	{2999, 2268},
	{3001, 1463},
	{3011, 1609},
	{3019, 467},
	{3023, 2596},
	{3037, 297},
	{3041, 2},
	{3049, 1208},
	{3061, 1136},
	{3067, 2208},
	{3079, 1579},
	{3083, 527},
	{3089, 44},
	{3109, 2485},
	{3119, 2957},
	{3121, 1905},
	{3137, 2454},
	{3163, 1496},
	{3167, 2116},
	{3169, 787},
	{3181, 2690},
	{3187, 2686},
	{3191, 1388},
	{3203, 2349},
	{3209, 2309},
	{3217, 1666},
	{3221, 1175},
	{3229, 539},
	{3251, 292},
	{3253, 3226},
	{3257, 921},
	{3259, 1992},
	{3271, 339},
	{3299, 1287},
	{3301, 1324},
	{3307, 610},
	{3313, 1116},
	{3319, 2531},
	{3323, 412},
	{3329, 2545},
	{3331, 2237},
	{3343, 2214},
	{3347, 3338},
	{3359, 2302},
	{3361, 188},
	{3371, 30},
	{3373, 2014},
	{3389, 2772},
	{3391, 1510},
	{3407, 806},
	{3413, 349},
	{3433, 1177},
	{3449, 342},
	{3457, 1849},
	{3461, 208},
	{3463, 2847},
	{3467, 150},
	{3469, 1993},
	{3491, 2005},
	{3499, 1513},
	{3511, 2998},
	{3517, 3225},
	{3527, 2427},
	{3529, 3450},
	{3533, 1766},
	{3539, 670},
	{3541, 168},
	{3547, 2100},
	{3557, 2596},
	{3559, 3322},
	{3571, 643},
	{3581, 1453},
	{3583, 1181},
	{3593, 2810},
	{3607, 732},
	{3613, 811},
	{3617, 1077},
	{3623, 2467},
	{3631, 2005},
	{3637, 2939},
	{3643, 3459},
	{3659, 817},
	{3671, 933},
	{3673, 2705},
	{3677, 2364},
	{3691, 318},
	{3697, 910},
	{3701, 2585},
	{3709, 2142},
	{3719, 2010},
	{3727, 492},
	{3733, 1636},
	{3739, 3335},
	{3761, 2610},
	{3767, 1768},
	{3769, 3406},
	{3779, 1361},
	{3793, 607},
	{3797, 738},
	{3803, 1957},
	{3821, 2310},
	{3823, 1199},
	{3833, 727},
	{3847, 896},
	{3851, 469},
	{3853, 3005},
	{3863, 2642},
	{3877, 3009},
	{3881, 2418},
	{3889, 1568},
	{3907, 627},
	{3911, 1877},
	{3917, 2937},
	{3919, 3106},
	{3923, 2152},
	{3929, 578},
	{3931, 429},
	{3943, 3734},
	{3947, 2509},
	{3967, 1669},
	{3989, 3466},
	{4001, 3512},
	{4003, 3069},
	{4007, 1024},
	{4013, 2928},
	{4019, 259},
	{4021, 954},
	{4027, 2352},
	{4049, 4046},
	{4051, 2761},
	{4057, 569},
	{4073, 1155},
	{4079, 3207},
	{4091, 1569},
	{4093, 3000},
	{4099, 3738},
	{4111, 1346},
	{4127, 2106},
	{4129, 2168},
	{4133, 4023},
	{4139, 4046},
	{4153, 1428},
	{4157, 48},
	{4159, 4015},
	{4177, 1604},
	{4201, 1792},
	{4211, 3954},
	{4217, 1896},
	{4219, 2014},
	{4229, 2424},
	{4231, 1529},
	{4241, 2816},
	{4243, 2028},
	{4253, 78},
	{4259, 3891},
	{4261, 3731},
	{4271, 3701},
	{4273, 2720},
	{4283, 3693},
	{4289, 1685},
	{4297, 285},
	{4327, 1466},
	{4337, 3813},
	{4339, 1148},
	{4349, 3088},
	{4357, 857},
	{4363, 2713},
	{4373, 3562},
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