[{"data":1,"prerenderedAt":2284},["ShallowReactive",2],{"strategy-o13":3},{"id":4,"name":5,"family":6,"tags":7,"universe":9,"bars":10,"rules":11,"sizing":12,"cadence":13,"original":14,"testable":22,"not_testable_reason":23,"prompt":24,"deviation":23,"source_file":25,"orbital_sizing":23,"prompt_note":23,"collection":26,"collection_name":27,"bars_label":28,"universe_short":29,"rule_short":11,"links":30,"verdict":37,"result":38,"chart":75},"O13","Bracket RSI Reversion","RSI reversion",[8],"Mean reversion","SPY, QQQ and IWM","daily","Buy when RSI(14) is below 35 with a +4% take-profit and a -2% stop; sell at market if RSI(14) rises above 70.","15% of equity per ETF","daily check",{"total_return":15,"cagr":16,"sharpe":17,"max_dd":18,"win_rate":19,"profit_factor":20,"span":21},8.51,0.33,-0.43,-11.61,45.8,1.07,"2001-2025",true,null,"Trade SPY, QQQ and IWM on daily bars. If flat and RSI(14) is below 35, buy with 15% of equity. Take profit at +4% from entry, stop out at -2%, and otherwise exit when RSI(14) closes above 70. Long only; uninvested capital stays in cash. Backtest the last 10 years with $100,000.","example_orders_13_bracket_rsi_reversion.py","retest","The viral 50, re-tested","Daily","SPY · QQQ · IWM",[31,34],[32,33],"Source code","https://github.com/QuantJourneyOrg/quantjourney-bt/blob/main/strategies/example_orders_13_bracket_rsi_reversion.py",[35,36],"Original results","https://backtester.quantjourney.cloud/strategies/example-orders-13-bracket-rsi-reversion","trail",{"status":39,"verdict":37,"period":40,"total_return":41,"cagr":42,"sharpe":43,"deflated_sharpe":44,"max_dd":45,"win_rate":46,"profit_factor":47,"trades":48,"spy_return":49,"spy_cagr":50,"spy_sharpe":51,"spy_max_dd":52,"beta":53,"alpha":54,"cost_share":55,"checks":56},"done","Oct 31, 2016 to Oct 30, 2026",7.55,0.73,-1.11,-2.11,-8.32,38,1.23,216,316.62,15.35,0.65,-33.7,0.08,-4.37,26,[57,60,63,66,69,72],[58,59],"Strategies tested together","22",[61,62],"Beta to SPY","0.08",[64,65],"Alpha vs SPY","−4.4% a year",[67,68],"Costs paid","$2,648, 26% of the gain before costs",[70,71],"Data","Daily bars, 2,514 sessions",[73,74],"Fills","Next open at market, sized at the fill",{"curve":76,"spy":1249},{"id":4,"name":5,"bars_label":28,"window":10,"ret":41,"cagr":42,"sharpe":43,"spy":49,"points":77},[78,81,84,87,90,92,94,96,98,100,102,104,106,108,110,112,114,116,118,120,122,124,126,128,130,132,134,136,138,140,142,144,146,148,150,152,154,156,158,160,162,164,167,169,172,175,178,181,183,185,187,189,191,193,195,197,199,201,203,205,207,209,211,213,215,217,219,221,224,227,229,231,233,235,237,240,243,245,247,249,251,253,255,257,259,261,263,265,267,269,271,273,275,277,279,281,283,285,287,289,291,293,296,298,301,304,307,309,311,314,317,319,321,324,326,328,330,332,334,336,338,340,342,344,346,348,350,352,354,356,358,360,362,364,367,370,373,376,379,381,383,385,387,389,391,393,396,399,402,405,408,410,412,414,417,420,423,425,427,429,431,433,435,437,439,441,443,445,447,449,451,453,456,458,460,463,466,469,472,475,477,479,481,483,485,487,489,491,493,495,497,499,501,503,505,507,509,511,513,515,517,519,521,523,525,528,531,533,535,537,539,541,543,545,547,549,551,553,555,557,559,561,563,565,567,569,571,573,576,579,582,584,586,588,590,592,594,596,599,602,604,606,608,610,612,614,616,618,620,622,624,626,629,632,634,636,638,641,644,647,649,651,653,655,657,659,661,664,667,669,671,673,675,677,680,683,686,688,690,693,695,698,701,703,705,707,709,711,714,717,720,723,725,727,729,732,735,737,739,741,743,745,747,749,751,753,755,758,761,764,767,770,773,776,779,781,783,785,787,789,791,793,795,798,801,804,806,808,810,812,814,816,818,820,822,825,828,830,832,834,836,838,840,842,844,846,848,850,852,854,856,858,860,862,864,866,869,872,875,878,881,884,887,890,893,896,898,901,903,905,907,909,911,913,915,917,919,921,923,925,927,929,931,933,935,937,939,941,943,945,947,950,953,956,959,961,963,965,967,969,971,973,975,977,979,981,984,987,990,992,994,996,998,1000,1002,1004,1006,1008,1010,1012,1014,1016,1018,1020,1022,1024,1027,1030,1033,1036,1039,1041,1043,1045,1047,1049,1052,1055,1058,1061,1064,1066,1069,1071,1073,1075,1077,1079,1081,1083,1085,1087,1089,1091,1093,1095,1097,1099,1101,1103,1105,1107,1109,1111,1113,1115,1117,1119,1121,1123,1125,1127,1129,1131,1134,1137,1139,1141,1143,1145,1147,1149,1151,1153,1155,1158,1161,1164,1167,1170,1173,1176,1179,1181,1184,1186,1188,1190,1192,1194,1196,1198,1200,1202,1204,1206,1208,1210,1212,1214,1217,1220,1222,1224,1226,1228,1230,1233,1236,1239,1242,1244,1247],[79,80],"2016-10-31",1,[82,83],"2016-11-04",0.9972,[85,86],"2016-11-11",1.0164,[88,89],"2016-11-18",1.0179,[91,89],"2016-11-25",[93,89],"2016-12-02",[95,89],"2016-12-09",[97,89],"2016-12-16",[99,89],"2016-12-23",[101,89],"2016-12-30",[103,89],"2017-01-06",[105,89],"2017-01-13",[107,89],"2017-01-20",[109,89],"2017-01-27",[111,89],"2017-02-03",[113,89],"2017-02-10",[115,89],"2017-02-17",[117,89],"2017-02-24",[119,89],"2017-03-03",[121,89],"2017-03-10",[123,89],"2017-03-17",[125,89],"2017-03-24",[127,89],"2017-03-31",[129,89],"2017-04-07",[131,89],"2017-04-13",[133,89],"2017-04-21",[135,89],"2017-04-28",[137,89],"2017-05-05",[139,89],"2017-05-12",[141,89],"2017-05-19",[143,89],"2017-05-26",[145,89],"2017-06-02",[147,89],"2017-06-09",[149,89],"2017-06-16",[151,89],"2017-06-23",[153,89],"2017-06-30",[155,89],"2017-07-07",[157,89],"2017-07-14",[159,89],"2017-07-21",[161,89],"2017-07-28",[163,89],"2017-08-04",[165,166],"2017-08-11",1.0181,[168,86],"2017-08-18",[170,171],"2017-08-25",1.0186,[173,174],"2017-09-01",1.0227,[176,177],"2017-09-08",1.0212,[179,180],"2017-09-15",1.024,[182,180],"2017-09-22",[184,180],"2017-09-29",[186,180],"2017-10-06",[188,180],"2017-10-13",[190,180],"2017-10-20",[192,180],"2017-10-27",[194,180],"2017-11-03",[196,180],"2017-11-10",[198,180],"2017-11-17",[200,180],"2017-11-24",[202,180],"2017-12-01",[204,180],"2017-12-08",[206,180],"2017-12-15",[208,180],"2017-12-22",[210,180],"2017-12-29",[212,180],"2018-01-05",[214,180],"2018-01-12",[216,180],"2018-01-19",[218,180],"2018-01-26",[220,180],"2018-02-02",[222,223],"2018-02-09",1.0268,[225,226],"2018-02-16",1.0329,[228,226],"2018-02-23",[230,226],"2018-03-02",[232,226],"2018-03-09",[234,226],"2018-03-16",[236,226],"2018-03-23",[238,239],"2018-03-29",1.0303,[241,242],"2018-04-06",1.0266,[244,242],"2018-04-13",[246,242],"2018-04-20",[248,242],"2018-04-27",[250,242],"2018-05-04",[252,242],"2018-05-11",[254,242],"2018-05-18",[256,242],"2018-05-25",[258,242],"2018-06-01",[260,242],"2018-06-08",[262,242],"2018-06-15",[264,242],"2018-06-22",[266,242],"2018-06-29",[268,242],"2018-07-06",[270,242],"2018-07-13",[272,242],"2018-07-20",[274,242],"2018-07-27",[276,242],"2018-08-03",[278,242],"2018-08-10",[280,242],"2018-08-17",[282,242],"2018-08-24",[284,242],"2018-08-31",[286,242],"2018-09-07",[288,242],"2018-09-14",[290,242],"2018-09-21",[292,242],"2018-09-28",[294,295],"2018-10-05",1.0235,[297,86],"2018-10-12",[299,300],"2018-10-19",1.0199,[302,303],"2018-10-26",1.0041,[305,306],"2018-11-02",1.0197,[308,306],"2018-11-09",[310,306],"2018-11-16",[312,313],"2018-11-23",1.0187,[315,316],"2018-11-30",1.0319,[318,316],"2018-12-07",[320,316],"2018-12-14",[322,323],"2018-12-21",1.0038,[325,313],"2018-12-28",[327,313],"2019-01-04",[329,313],"2019-01-11",[331,313],"2019-01-18",[333,313],"2019-01-25",[335,313],"2019-02-01",[337,313],"2019-02-08",[339,313],"2019-02-15",[341,313],"2019-02-22",[343,313],"2019-03-01",[345,313],"2019-03-08",[347,313],"2019-03-15",[349,313],"2019-03-22",[351,313],"2019-03-29",[353,313],"2019-04-05",[355,313],"2019-04-12",[357,313],"2019-04-18",[359,313],"2019-04-26",[361,313],"2019-05-03",[363,313],"2019-05-10",[365,366],"2019-05-17",1.0236,[368,369],"2019-05-24",1.0178,[371,372],"2019-05-31",1.0099,[374,375],"2019-06-07",1.0259,[377,378],"2019-06-14",1.0272,[380,378],"2019-06-21",[382,378],"2019-06-28",[384,378],"2019-07-05",[386,378],"2019-07-12",[388,378],"2019-07-19",[390,378],"2019-07-26",[392,378],"2019-08-02",[394,395],"2019-08-09",1.0352,[397,398],"2019-08-16",1.028,[400,401],"2019-08-23",1.0231,[403,404],"2019-08-30",1.0316,[406,407],"2019-09-06",1.0367,[409,407],"2019-09-13",[411,407],"2019-09-20",[413,407],"2019-09-27",[415,416],"2019-10-04",1.0402,[418,419],"2019-10-11",1.0412,[421,422],"2019-10-18",1.043,[424,422],"2019-10-25",[426,422],"2019-11-01",[428,422],"2019-11-08",[430,422],"2019-11-15",[432,422],"2019-11-22",[434,422],"2019-11-29",[436,422],"2019-12-06",[438,422],"2019-12-13",[440,422],"2019-12-20",[442,422],"2019-12-27",[444,422],"2020-01-03",[446,422],"2020-01-10",[448,422],"2020-01-17",[450,422],"2020-01-24",[452,422],"2020-01-31",[454,455],"2020-02-07",1.0492,[457,455],"2020-02-14",[459,455],"2020-02-21",[461,462],"2020-02-28",1.0462,[464,465],"2020-03-06",1.0514,[467,468],"2020-03-13",1.0117,[470,471],"2020-03-20",0.9842,[473,474],"2020-03-27",0.9904,[476,474],"2020-04-03",[478,474],"2020-04-09",[480,474],"2020-04-17",[482,474],"2020-04-24",[484,474],"2020-05-01",[486,474],"2020-05-08",[488,474],"2020-05-15",[490,474],"2020-05-22",[492,474],"2020-05-29",[494,474],"2020-06-05",[496,474],"2020-06-12",[498,474],"2020-06-19",[500,474],"2020-06-26",[502,474],"2020-07-02",[504,474],"2020-07-10",[506,474],"2020-07-17",[508,474],"2020-07-24",[510,474],"2020-07-31",[512,474],"2020-08-07",[514,474],"2020-08-14",[516,474],"2020-08-21",[518,474],"2020-08-28",[520,474],"2020-09-04",[522,474],"2020-09-11",[524,474],"2020-09-18",[526,527],"2020-09-25",0.9928,[529,530],"2020-10-02",0.9964,[532,530],"2020-10-09",[534,530],"2020-10-16",[536,530],"2020-10-23",[538,530],"2020-10-30",[540,530],"2020-11-06",[542,530],"2020-11-13",[544,530],"2020-11-20",[546,530],"2020-11-27",[548,530],"2020-12-04",[550,530],"2020-12-11",[552,530],"2020-12-18",[554,530],"2020-12-24",[556,530],"2020-12-31",[558,530],"2021-01-08",[560,530],"2021-01-15",[562,530],"2021-01-22",[564,530],"2021-01-29",[566,530],"2021-02-05",[568,530],"2021-02-12",[570,530],"2021-02-19",[572,530],"2021-02-26",[574,575],"2021-03-05",0.9933,[577,578],"2021-03-12",0.9971,[580,581],"2021-03-19",0.9998,[583,581],"2021-03-26",[585,581],"2021-04-01",[587,581],"2021-04-09",[589,581],"2021-04-16",[591,581],"2021-04-23",[593,581],"2021-04-30",[595,581],"2021-05-07",[597,598],"2021-05-14",1.008,[600,601],"2021-05-21",1.009,[603,468],"2021-05-28",[605,468],"2021-06-04",[607,468],"2021-06-11",[609,468],"2021-06-18",[611,468],"2021-06-25",[613,468],"2021-07-02",[615,468],"2021-07-09",[617,468],"2021-07-16",[619,369],"2021-07-23",[621,369],"2021-07-30",[623,369],"2021-08-06",[625,369],"2021-08-13",[627,628],"2021-08-20",1.0201,[630,631],"2021-08-27",1.0238,[633,631],"2021-09-03",[635,631],"2021-09-10",[637,631],"2021-09-17",[639,640],"2021-09-24",1.0263,[642,643],"2021-10-01",1.0202,[645,646],"2021-10-08",1.0207,[648,366],"2021-10-15",[650,366],"2021-10-22",[652,366],"2021-10-29",[654,366],"2021-11-05",[656,366],"2021-11-12",[658,366],"2021-11-19",[660,366],"2021-11-26",[662,663],"2021-12-03",1.0144,[665,666],"2021-12-10",1.0203,[668,666],"2021-12-17",[670,666],"2021-12-23",[672,666],"2021-12-31",[674,666],"2022-01-07",[676,666],"2022-01-14",[678,679],"2022-01-21",1.0001,[681,682],"2022-01-28",0.9862,[684,685],"2022-02-04",0.9924,[687,685],"2022-02-11",[689,685],"2022-02-18",[691,692],"2022-02-25",1.0042,[694,692],"2022-03-04",[696,697],"2022-03-11",1.0024,[699,700],"2022-03-18",0.9981,[702,700],"2022-03-25",[704,700],"2022-04-01",[706,700],"2022-04-08",[708,700],"2022-04-14",[710,700],"2022-04-22",[712,713],"2022-04-29",0.992,[715,716],"2022-05-06",0.989,[718,719],"2022-05-13",0.987,[721,722],"2022-05-20",0.9821,[724,722],"2022-05-27",[726,722],"2022-06-03",[728,722],"2022-06-10",[730,731],"2022-06-17",0.9749,[733,734],"2022-06-24",0.9911,[736,734],"2022-07-01",[738,734],"2022-07-08",[740,734],"2022-07-15",[742,734],"2022-07-22",[744,734],"2022-07-29",[746,734],"2022-08-05",[748,734],"2022-08-12",[750,734],"2022-08-19",[752,734],"2022-08-26",[754,734],"2022-09-02",[756,757],"2022-09-09",1.0087,[759,760],"2022-09-16",1.0094,[762,763],"2022-09-23",1.0002,[765,766],"2022-09-30",0.9914,[768,769],"2022-10-07",1.0124,[771,772],"2022-10-14",1.0128,[774,775],"2022-10-21",1.0175,[777,778],"2022-10-28",1.0188,[780,778],"2022-11-04",[782,778],"2022-11-11",[784,778],"2022-11-18",[786,778],"2022-11-25",[788,778],"2022-12-02",[790,778],"2022-12-09",[792,778],"2022-12-16",[794,778],"2022-12-23",[796,797],"2022-12-30",1.0206,[799,800],"2023-01-06",1.0221,[802,803],"2023-01-13",1.0249,[805,803],"2023-01-20",[807,803],"2023-01-27",[809,803],"2023-02-03",[811,803],"2023-02-10",[813,803],"2023-02-17",[815,803],"2023-02-24",[817,803],"2023-03-03",[819,803],"2023-03-10",[821,180],"2023-03-17",[823,824],"2023-03-24",1.0275,[826,827],"2023-03-31",1.0362,[829,827],"2023-04-06",[831,827],"2023-04-14",[833,827],"2023-04-21",[835,827],"2023-04-28",[837,827],"2023-05-05",[839,827],"2023-05-12",[841,827],"2023-05-19",[843,827],"2023-05-26",[845,827],"2023-06-02",[847,827],"2023-06-09",[849,827],"2023-06-16",[851,827],"2023-06-23",[853,827],"2023-06-30",[855,827],"2023-07-07",[857,827],"2023-07-14",[859,827],"2023-07-21",[861,827],"2023-07-28",[863,827],"2023-08-04",[865,827],"2023-08-11",[867,868],"2023-08-18",1.0337,[870,871],"2023-08-25",1.036,[873,874],"2023-09-01",1.0499,[876,877],"2023-09-08",1.0442,[879,880],"2023-09-15",1.0439,[882,883],"2023-09-22",1.0393,[885,886],"2023-09-29",1.039,[888,889],"2023-10-06",1.04,[891,892],"2023-10-13",1.0404,[894,895],"2023-10-20",1.0343,[897,223],"2023-10-27",[899,900],"2023-11-03",1.0507,[902,900],"2023-11-10",[904,900],"2023-11-17",[906,900],"2023-11-24",[908,900],"2023-12-01",[910,900],"2023-12-08",[912,900],"2023-12-15",[914,900],"2023-12-22",[916,900],"2023-12-29",[918,900],"2024-01-05",[920,900],"2024-01-12",[922,900],"2024-01-19",[924,900],"2024-01-26",[926,900],"2024-02-02",[928,900],"2024-02-09",[930,900],"2024-02-16",[932,900],"2024-02-23",[934,900],"2024-03-01",[936,900],"2024-03-08",[938,900],"2024-03-15",[940,900],"2024-03-22",[942,900],"2024-03-28",[944,900],"2024-04-05",[946,900],"2024-04-12",[948,949],"2024-04-19",1.0488,[951,952],"2024-04-26",1.0621,[954,955],"2024-05-03",1.0684,[957,958],"2024-05-10",1.071,[960,958],"2024-05-17",[962,958],"2024-05-24",[964,958],"2024-05-31",[966,958],"2024-06-07",[968,958],"2024-06-14",[970,958],"2024-06-21",[972,958],"2024-06-28",[974,958],"2024-07-05",[976,958],"2024-07-12",[978,958],"2024-07-19",[980,958],"2024-07-26",[982,983],"2024-08-02",1.0668,[985,986],"2024-08-09",1.0755,[988,989],"2024-08-16",1.0797,[991,989],"2024-08-23",[993,989],"2024-08-30",[995,989],"2024-09-06",[997,989],"2024-09-13",[999,989],"2024-09-20",[1001,989],"2024-09-27",[1003,989],"2024-10-04",[1005,989],"2024-10-11",[1007,989],"2024-10-18",[1009,989],"2024-10-25",[1011,989],"2024-11-01",[1013,989],"2024-11-08",[1015,989],"2024-11-15",[1017,989],"2024-11-22",[1019,989],"2024-11-29",[1021,989],"2024-12-06",[1023,989],"2024-12-13",[1025,1026],"2024-12-20",1.0762,[1028,1029],"2024-12-27",1.0765,[1031,1032],"2025-01-03",1.078,[1034,1035],"2025-01-10",1.0729,[1037,1038],"2025-01-17",1.0809,[1040,1038],"2025-01-24",[1042,1038],"2025-01-31",[1044,1038],"2025-02-07",[1046,1038],"2025-02-14",[1048,1038],"2025-02-21",[1050,1051],"2025-02-28",1.082,[1053,1054],"2025-03-07",1.062,[1056,1057],"2025-03-14",1.0533,[1059,1060],"2025-03-21",1.0555,[1062,1063],"2025-03-28",1.0605,[1065,949],"2025-04-04",[1067,1068],"2025-04-11",1.0767,[1070,1068],"2025-04-17",[1072,1068],"2025-04-25",[1074,1068],"2025-05-02",[1076,1068],"2025-05-09",[1078,1068],"2025-05-16",[1080,1068],"2025-05-23",[1082,1068],"2025-05-30",[1084,1068],"2025-06-06",[1086,1068],"2025-06-13",[1088,1068],"2025-06-20",[1090,1068],"2025-06-27",[1092,1068],"2025-07-03",[1094,1068],"2025-07-11",[1096,1068],"2025-07-18",[1098,1068],"2025-07-25",[1100,1068],"2025-08-01",[1102,1068],"2025-08-08",[1104,1068],"2025-08-15",[1106,1068],"2025-08-22",[1108,1068],"2025-08-29",[1110,1068],"2025-09-05",[1112,1068],"2025-09-12",[1114,1068],"2025-09-19",[1116,1068],"2025-09-26",[1118,1068],"2025-10-03",[1120,1068],"2025-10-10",[1122,1068],"2025-10-17",[1124,1068],"2025-10-24",[1126,1068],"2025-10-31",[1128,1068],"2025-11-07",[1130,1068],"2025-11-14",[1132,1133],"2025-11-21",1.0806,[1135,1136],"2025-11-28",1.0832,[1138,1136],"2025-12-05",[1140,1136],"2025-12-12",[1142,1136],"2025-12-19",[1144,1136],"2025-12-26",[1146,1136],"2026-01-02",[1148,1136],"2026-01-09",[1150,1136],"2026-01-16",[1152,1136],"2026-01-23",[1154,1136],"2026-01-30",[1156,1157],"2026-02-06",1.0856,[1159,1160],"2026-02-13",1.0835,[1162,1163],"2026-02-20",1.0854,[1165,1166],"2026-02-27",1.085,[1168,1169],"2026-03-06",1.083,[1171,1172],"2026-03-13",1.0795,[1174,1175],"2026-03-20",1.0726,[1177,1178],"2026-03-27",1.0622,[1180,20],"2026-04-02",[1182,1183],"2026-04-10",1.0749,[1185,1183],"2026-04-17",[1187,1183],"2026-04-24",[1189,1183],"2026-05-01",[1191,1183],"2026-05-08",[1193,1183],"2026-05-15",[1195,1183],"2026-05-22",[1197,1183],"2026-05-29",[1199,1183],"2026-06-05",[1201,1183],"2026-06-12",[1203,1183],"2026-06-18",[1205,1183],"2026-06-26",[1207,1183],"2026-07-02",[1209,1183],"2026-07-10",[1211,1183],"2026-07-17",[1213,1183],"2026-07-24",[1215,1216],"2026-07-31",1.0779,[1218,1219],"2026-08-07",1.0825,[1221,1219],"2026-08-14",[1223,1219],"2026-08-21",[1225,1219],"2026-08-28",[1227,1219],"2026-09-04",[1229,1219],"2026-09-11",[1231,1232],"2026-09-18",1.0816,[1234,1235],"2026-09-25",1.0789,[1237,1238],"2026-10-02",1.0754,[1240,1241],"2026-10-09",1.0727,[1243,955],"2026-10-16",[1245,1246],"2026-10-23",1.0716,[1248,986],"2026-10-30",[1250,1251,1253,1255,1256,1258,1260,1262,1264,1266,1268,1270,1272,1274,1276,1277,1279,1281,1283,1285,1287,1289,1291,1293,1295,1297,1299,1301,1303,1305,1307,1309,1311,1313,1315,1317,1319,1321,1323,1325,1327,1329,1331,1333,1335,1337,1339,1341,1343,1345,1347,1349,1351,1353,1355,1357,1359,1361,1363,1365,1367,1369,1371,1373,1375,1377,1379,1381,1383,1385,1387,1389,1391,1393,1395,1397,1399,1401,1403,1405,1407,1409,1411,1413,1415,1417,1419,1421,1423,1425,1427,1429,1431,1433,1435,1437,1439,1441,1443,1445,1447,1449,1451,1453,1455,1457,1458,1460,1462,1464,1466,1468,1470,1472,1474,1476,1478,1480,1482,1484,1486,1488,1490,1492,1494,1496,1498,1500,1502,1504,1506,1508,1510,1512,1514,1516,1518,1520,1522,1524,1526,1528,1530,1532,1534,1535,1537,1539,1541,1543,1545,1547,1549,1551,1553,1555,1557,1559,1561,1563,1565,1567,1569,1571,1573,1575,1577,1579,1581,1583,1585,1587,1589,1591,1593,1595,1597,1599,1601,1603,1605,1607,1609,1611,1613,1615,1617,1619,1621,1623,1625,1627,1629,1631,1633,1635,1637,1639,1641,1643,1645,1647,1649,1650,1652,1654,1656,1658,1660,1662,1664,1666,1668,1670,1672,1674,1676,1678,1680,1682,1684,1686,1688,1690,1692,1694,1696,1698,1700,1702,1704,1706,1708,1710,1712,1714,1716,1718,1720,1722,1724,1726,1728,1730,1732,1734,1736,1738,1740,1742,1744,1746,1748,1750,1752,1754,1756,1758,1760,1762,1764,1766,1768,1770,1772,1774,1776,1778,1780,1782,1784,1786,1788,1790,1792,1794,1796,1798,1800,1802,1804,1806,1808,1810,1812,1814,1816,1818,1820,1822,1824,1826,1828,1830,1832,1834,1836,1838,1840,1842,1844,1846,1847,1849,1851,1853,1855,1857,1859,1861,1863,1865,1867,1869,1871,1873,1875,1877,1879,1881,1883,1885,1887,1889,1891,1893,1895,1897,1899,1901,1903,1905,1906,1908,1910,1912,1914,1916,1918,1920,1922,1924,1926,1928,1930,1932,1934,1935,1937,1939,1941,1943,1945,1947,1949,1951,1953,1955,1957,1959,1961,1963,1965,1967,1969,1971,1973,1975,1977,1979,1980,1982,1984,1986,1988,1990,1992,1994,1996,1998,2000,2002,2004,2006,2008,2010,2012,2014,2016,2018,2020,2022,2024,2026,2028,2030,2031,2033,2035,2037,2039,2041,2043,2045,2047,2049,2051,2053,2055,2057,2059,2061,2063,2065,2067,2069,2071,2073,2075,2077,2079,2081,2083,2085,2087,2089,2091,2093,2095,2097,2099,2101,2103,2105,2107,2109,2111,2113,2115,2117,2119,2121,2123,2125,2127,2129,2131,2133,2135,2137,2139,2141,2143,2145,2147,2149,2151,2153,2155,2157,2159,2161,2163,2165,2167,2169,2171,2173,2175,2177,2179,2181,2183,2185,2187,2189,2191,2193,2195,2197,2199,2201,2203,2205,2207,2209,2211,2213,2215,2217,2219,2221,2223,2225,2227,2229,2231,2233,2235,2237,2239,2241,2243,2245,2247,2249,2251,2253,2255,2257,2259,2261,2263,2265,2267,2269,2271,2273,2274,2276,2278,2280,2282],[79,80],[82,1252],0.9812,[85,1254],1.0182,[88,398],[91,1257],1.0422,[93,1259],1.0335,[95,1261],1.0657,[97,1263],1.065,[99,1265],1.0682,[101,1267],1.0579,[103,1269],1.0753,[105,1271],1.0745,[107,1273],1.0731,[109,1275],1.0836,[111,1163],[113,1278],1.0956,[115,1280],1.1126,[117,1282],1.1204,[119,1284],1.1283,[121,1286],1.1249,[123,1288],1.1266,[125,1290],1.1116,[127,1292],1.1205,[129,1294],1.1179,[131,1296],1.1052,[133,1298],1.115,[135,1300],1.1316,[137,1302],1.1393,[139,1304],1.1359,[141,1306],1.1327,[143,1308],1.1489,[145,1310],1.1606,[147,1312],1.157,[149,1314],1.1589,[151,1316],1.1613,[153,1318],1.1549,[155,1320],1.1564,[157,1322],1.1729,[159,1324],1.1792,[161,1326],1.1793,[163,1328],1.1817,[165,1330],1.166,[168,1332],1.1593,[170,1334],1.1681,[173,1336],1.1838,[176,1338],1.1778,[179,1340],1.1961,[182,1342],1.1973,[184,1344],1.2059,[186,1346],1.221,[188,1348],1.2238,[190,1350],1.2341,[192,1352],1.237,[194,1354],1.2406,[196,1356],1.2388,[198,1358],1.2377,[200,1360],1.2497,[202,1362],1.2694,[204,1364],1.2745,[206,1366],1.2857,[208,1368],1.2906,[210,1370],1.2874,[212,1372],1.3191,[214,1374],1.3408,[216,1376],1.3528,[218,1378],1.3826,[220,1380],1.3289,[222,1382],1.2616,[225,1384],1.3176,[228,1386],1.3253,[230,1388],1.2981,[232,1390],1.3454,[234,1392],1.3281,[236,1394],1.2499,[238,1396],1.2746,[241,1398],1.258,[244,1400],1.2843,[246,1402],1.2914,[248,1404],1.2911,[250,1406],1.2885,[252,1408],1.3216,[254,1410],1.3142,[256,1412],1.3182,[258,1414],1.3252,[260,1416],1.3475,[262,1418],1.3484,[264,1420],1.3367,[266,1422],1.3199,[268,1424],1.34,[270,1426],1.3603,[272,1428],1.3608,[274,1430],1.3692,[276,1432],1.3798,[278,1434],1.3777,[280,1436],1.3869,[282,1438],1.3989,[284,1440],1.4125,[286,1442],1.3993,[288,1444],1.4153,[290,1446],1.4271,[292,1448],1.4209,[294,1450],1.4067,[297,1452],1.3487,[299,1454],1.3502,[302,1456],1.2968,[305,1380],[308,1459],1.3575,[310,1461],1.3378,[312,1463],1.2866,[315,1465],1.3472,[318,1467],1.2882,[320,1469],1.273,[322,1471],1.1834,[325,1473],1.2181,[327,1475],1.2409,[329,1477],1.2733,[331,1479],1.3101,[333,1481],1.3067,[335,1483],1.3278,[337,1485],1.3298,[339,1487],1.3637,[341,1489],1.3724,[343,1491],1.3787,[345,1493],1.3494,[347,1495],1.3892,[349,1497],1.379,[351,1499],1.3949,[353,1501],1.425,[355,1503],1.4329,[357,1505],1.4322,[359,1507],1.4489,[361,1509],1.452,[363,1511],1.4227,[365,1513],1.4115,[368,1515],1.3964,[371,1517],1.3593,[374,1519],1.4205,[377,1521],1.4284,[380,1523],1.4589,[382,1525],1.4539,[384,1527],1.481,[386,1529],1.4919,[388,1531],1.4746,[390,1533],1.4986,[392,1509],[394,1536],1.4471,[397,1538],1.4333,[400,1540],1.4135,[403,1542],1.4512,[406,1544],1.479,[409,1546],1.4941,[411,1548],1.487,[413,1550],1.4726,[415,1552],1.4674,[418,1554],1.477,[421,1556],1.4854,[424,1558],1.5035,[426,1560],1.5262,[428,1562],1.5401,[430,1564],1.5543,[432,1566],1.5502,[434,1568],1.5669,[436,1570],1.5697,[438,1572],1.5819,[440,1574],1.6067,[442,1576],1.6174,[444,1578],1.6152,[446,1580],1.6317,[448,1582],1.6629,[450,1584],1.647,[452,1586],1.6118,[454,1588],1.6642,[457,1590],1.6913,[459,1592],1.6706,[461,1594],1.4842,[464,1596],1.4902,[467,1598],1.3492,[470,1600],1.1532,[473,1602],1.2773,[476,1604],1.251,[478,1606],1.4022,[480,1608],1.4448,[482,1610],1.4263,[484,1612],1.4254,[486,1614],1.474,[488,1616],1.443,[490,1618],1.4891,[492,1620],1.5339,[494,1622],1.6096,[496,1624],1.5333,[498,1626],1.5626,[500,1628],1.5191,[502,1630],1.5807,[504,1632],1.6079,[506,1634],1.6288,[508,1636],1.6245,[510,1638],1.6531,[512,1640],1.6938,[514,1642],1.7053,[516,1644],1.7187,[518,1646],1.7749,[520,1648],1.7343,[522,1590],[524,1651],1.6808,[526,1653],1.671,[529,1655],1.697,[532,1657],1.7631,[534,1659],1.7654,[536,1661],1.7577,[538,1663],1.6599,[540,1665],1.7799,[542,1667],1.8203,[544,1669],1.8062,[546,1671],1.8486,[548,1673],1.88,[550,1675],1.862,[552,1677],1.8847,[554,1679],1.8837,[556,1681],1.9087,[558,1683],1.9463,[560,1685],1.9179,[562,1687],1.9546,[564,1689],1.8892,[566,1691],1.9793,[568,1693],2.0044,[570,1695],1.9911,[572,1697],1.9417,[574,1699],1.9584,[577,1701],2.0117,[580,1703],1.9948,[583,1705],2.0281,[585,1707],2.0518,[587,1709],2.1075,[589,1711],2.1371,[591,1713],2.1344,[593,1715],2.1373,[595,1717],2.162,[597,1719],2.1336,[600,1721],2.1252,[603,1723],2.1513,[605,1725],2.1644,[607,1727],2.1732,[609,1729],2.1322,[611,1731],2.1922,[613,1733],2.2288,[615,1735],2.238,[617,1737],2.2165,[619,1739],2.2607,[621,1741],2.2534,[623,1743],2.2738,[625,1745],2.2915,[627,1747],2.2783,[630,1749],2.3137,[633,1751],2.3282,[635,1753],2.289,[637,1755],2.2756,[639,1757],2.2885,[642,1759],2.2387,[645,1761],2.2573,[648,1763],2.2986,[650,1765],2.336,[652,1767],2.3676,[654,1769],2.4154,[656,1771],2.4089,[658,1773],2.4173,[660,1775],2.3661,[662,1777],2.3375,[665,1779],2.4268,[668,1781],2.3792,[670,1783],2.4347,[672,1785],2.4573,[674,1787],2.4114,[676,1789],2.4043,[678,1791],2.266,[681,1793],2.2865,[684,1795],2.3214,[687,1797],2.2788,[689,1799],2.2466,[691,1801],2.2648,[694,1803],2.2359,[696,1805],2.1733,[699,1807],2.3069,[702,1809],2.3493,[704,1811],2.3505,[706,1813],2.3227,[708,1815],2.2719,[710,1817],2.211,[712,1819],2.1381,[715,1821],2.1347,[718,1823],2.0848,[721,1825],2.022,[724,1827],2.155,[726,1829],2.1305,[728,1831],2.0229,[730,1833],1.9068,[733,1835],2.0331,[736,1837],1.987,[738,1839],2.0257,[740,1841],2.0073,[742,1843],2.0592,[744,1845],2.1473,[746,1827],[748,1848],2.226,[750,1850],2.2002,[752,1852],2.1125,[754,1854],2.0443,[756,1856],2.1192,[759,1858],2.0178,[762,1860],1.9257,[765,1862],1.8693,[768,1864],1.8987,[771,1866],1.8717,[774,1868],1.9589,[777,1870],2.0359,[780,1872],1.9696,[782,1874],2.0856,[784,1876],2.0726,[786,1878],2.1056,[788,1880],2.1296,[790,1882],2.0582,[792,1884],2.0152,[794,1886],2.0133,[796,1888],2.0108,[799,1890],2.0405,[802,1892],2.0953,[805,1894],2.0815,[807,1896],2.133,[809,1898],2.1681,[811,1900],2.1454,[813,1902],2.1413,[815,1904],2.0841,[817,1721],[819,1907],2.0291,[821,1909],2.0584,[823,1911],2.0888,[826,1913],2.1608,[829,1915],2.1598,[831,1917],2.177,[833,1919],2.1757,[835,1921],2.1953,[837,1923],2.1779,[839,1925],2.1724,[841,1927],2.2095,[843,1929],2.2169,[845,1931],2.2586,[847,1933],2.2691,[849,1751],[851,1936],2.2951,[853,1938],2.3484,[855,1940],2.3234,[857,1942],2.3802,[859,1944],2.3956,[861,1946],2.4207,[863,1948],2.3671,[865,1950],2.361,[867,1952],2.3125,[870,1954],2.3309,[873,1956],2.3903,[876,1958],2.3603,[879,1960],2.3573,[882,1962],2.2884,[885,1964],2.2728,[888,1966],2.2838,[891,1968],2.2942,[894,1970],2.2394,[897,1972],2.1835,[899,1974],2.3111,[902,1976],2.3426,[904,1978],2.3967,[906,1946],[908,1981],2.4409,[910,1983],2.4468,[912,1985],2.5054,[914,1987],2.5285,[916,1989],2.5374,[918,1991],2.4979,[920,1993],2.5447,[922,1995],2.5754,[924,1997],2.602,[926,1999],2.639,[928,2001],2.6756,[930,2003],2.6666,[932,2005],2.7111,[934,2007],2.7378,[936,2009],2.7317,[938,2011],2.7302,[940,2013],2.7911,[942,2015],2.8011,[944,2017],2.7762,[946,2019],2.7356,[948,2021],2.6516,[951,2023],2.7218,[954,2025],2.738,[957,2027],2.7891,[960,2029],2.8352,[962,2029],[964,2032],2.8241,[966,2034],2.8597,[968,2036],2.9066,[970,2038],2.9253,[972,2040],2.9237,[974,2042],2.9797,[976,2044],3.0085,[978,2046],2.9494,[980,2048],2.9249,[982,2050],2.8629,[985,2052],2.8634,[988,2054],2.9779,[991,2056],3.02,[993,2058],3.0283,[995,2060],2.903,[997,2062],3.0193,[999,2064],3.0622,[1001,2066],3.0796,[1003,2068],3.0877,[1005,2070],3.1233,[1007,2072],3.1503,[1009,2074],3.1204,[1011,2076],3.0773,[1013,2078],3.2236,[1015,2080],3.1565,[1017,2082],3.2091,[1019,2084],3.2471,[1021,2086],3.2754,[1023,2088],3.256,[1025,2090],3.1962,[1028,2092],3.2171,[1031,2094],3.2005,[1034,2096],3.1386,[1037,2098],3.231,[1040,2100],3.2872,[1042,2102],3.2539,[1044,2104],3.2482,[1046,2106],3.2965,[1048,2108],3.2437,[1050,2110],3.2126,[1053,2112],3.1139,[1056,2114],3.043,[1059,2116],3.0585,[1062,2118],3.0134,[1065,2120],2.7401,[1067,2122],2.8956,[1070,2124],2.8547,[1072,2126],2.9861,[1074,2128],3.0736,[1076,2130],3.0604,[1078,2132],3.2224,[1080,2134],3.1405,[1082,2136],3.1963,[1084,2138],3.2492,[1086,2140],3.2375,[1088,2142],3.2323,[1090,2144],3.3446,[1092,2146],3.4013,[1094,2148],3.3919,[1096,2150],3.4135,[1098,2152],3.4652,[1100,2154],3.3816,[1102,2156],3.4657,[1104,2158],3.4997,[1106,2160],3.5099,[1108,2162],3.5085,[1110,2164],3.5204,[1112,2166],3.5757,[1114,2168],3.6199,[1116,2170],3.6096,[1118,2172],3.6499,[1120,2174],3.5616,[1122,2176],3.6237,[1124,2178],3.6938,[1126,2180],3.72,[1128,2182],3.6595,[1130,2184],3.6648,[1132,2186],3.5944,[1135,2188],3.7273,[1138,2190],3.7398,[1140,2192],3.7184,[1142,2194],3.7229,[1144,2196],3.776,[1146,2198],3.737,[1148,2200],3.7966,[1150,2202],3.7834,[1152,2204],3.7701,[1154,2206],3.7851,[1156,2208],3.7777,[1159,2210],3.7292,[1162,2212],3.7712,[1165,2214],3.7524,[1168,2216],3.678,[1171,2218],3.6228,[1174,2220],3.5576,[1177,2222],3.4781,[1180,2224],3.5974,[1182,2226],3.727,[1185,2228],3.8953,[1187,2230],3.9161,[1189,2232],3.9529,[1191,2234],4.046,[1193,2236],4.0545,[1195,2238],4.09,[1197,2240],4.1495,[1199,2242],4.0456,[1201,2244],4.0687,[1203,2246],4.1065,[1205,2248],4.0089,[1207,2250],4.0957,[1209,2252],4.1516,[1211,2254],4.0875,[1213,2256],4.0635,[1215,2258],4.1081,[1218,2260],4.2523,[1221,2262],4.2693,[1223,2264],4.2109,[1225,2266],4.2308,[1227,2268],4.2354,[1229,2270],4.203,[1231,2272],4.1991,[1234,2260],[1237,2275],4.2429,[1240,2277],4.2921,[1243,2279],4.2077,[1245,2281],4.1896,[1248,2283],4.1662,1794261303665]