{
 "nsim": 1000000,
 "nsim_sub": 200000,
 "seed": 20260914,
 "k_substitutions": 2,
 "table3_reproduction": {
  "table3_len": 520,
  "mismatches_using_gillogly_numbers": [],
  "mismatches_using_our_B1_numbers_(pos, ours, gillogly, table3, ours_decoded)": [
   [
    260,
    324,
    320,
    "D",
    "O"
   ],
   [
    417,
    39,
    36,
    "A",
    "T"
   ],
   [
    462,
    868,
    858,
    "P",
    "S"
   ],
   [
    489,
    428,
    328,
    "O",
    "T"
   ]
  ]
 },
 "decodes": {
  "gillogly_table1": {
   "B1": "SCS?ETFA?GCDOTTUCWOTWTAAIWDBIIDTT?WTTAABBPLAAABWCTLTFIFLKILPEAABPWCHOTOAPPPMORALANHAABBCCACDDEAOSDSFHNTFTATPOCACBCDDLBERIFEBTHIFOEHUUBTTTTTIHPAOAASATAATTOMTAPOAAAROMPJDRA??TSBCOBDAAACPNRBABFDEFGHIIJKLMMNOHPPAWTACMOBLSOESSOAVISPFTAOTBTFTHFOAOGHWTENALCAASAATTAROSLTAWGFESAUWAOLTTAHHTTASOTTEAFAASCSTAIFRCABTOTLHHDTNHWTSTEAIEOAASTWTTSOITSSTAAOPIWCPCWSOTTIOIESITTDATTPIUFSFRFABPTCCOAITNATTOSTSTF??ATDATWTATTOCWTOMPATSOTECTTTOTBSOGCWCDROLITIBHPWAAE?BTSTAFAEWCI?CBOWLTSOACTEWTAFOAITHTTTTOSHRISTETOECUSC?RAIHRLWSTRASNITPCBFAEFTB",
   "B3": "AICHREIHARHTTSTTDAADLATAOCTTAWTPSEEWDTTBOAFRMATHDNFOEBOTAABMPSOBTLAIATSBOEIINRANTALEEHMTAOGITMEAASRETHOEABTTREAACCTTDCGAATRTWTIDIPHBEOFOASFOBTDMMATWTACCSTTTEBAWATTTAAANHRTTJBOLRTCARSOTNOTTNCTEANBTIOOAETAGISWRFATHUOAWTWPTTHATTETISOLSWTCOHATTEOEEAWPAOLHLTRTETAWISBOHOCGDRTFEMFBASAAATECOCTARAENTTAROTLSCOTSFTONAEATTASWBSTUIGMBOEWTPTLATDCKAADBCSCWTCGROCRMEWMTSFTBWTMUATTTOSBEDAETEATRTOSDTTTOTWTITPHBPLOTFWBRTNDWWSCJBWHERBGBTLGHTUETTWRALBITATWRGAWPMGPTTGITTWTDJFTTHCSWTLCGERTSWATMOOOROORPTWDTBTLOETAAITTPDAERARCTBITAJLSHECBCTDMTOTTTRBDMTWOOHSTDTHRCACMEOOCHWWAFSLWWECRCMITAEDTREHOSNEWTNDRCTIIBWMAOOOONTBOTALTTAAEOSTFABWHBJAB"
  },
  "nara_straight": {
   "B1": "SCS?ETFA?GCDOTTUCWOTWTAAIWDBIIDTT?WTFATBBCTAAABWCTLTFIFLKILPEAABPWCHOTOAPTPMORALANHAABBCCACDDEAOSDSFHNTFTATPOCACBCDDLUERIFPBTHIFOEHUUBTATTTIHPAOALSATAWTTOMOAPAAAARAAPJDRT??TSBCOCDAAACPNRBABFDEFGHIIJKLMMNOHPPCWTAAMABLSOESSOAMISPFTAOTBTFTHTOAOGHWTENALCAASAATTAROFTTAWGFESAUWAOLTTAHHTTASOATHAFAASCSTAIJRCABTOTVHHDCNHWTSTEOIEOATSTWTTSOIFSSTAAOPIWCPCWSOTTIPIESITTDATTPIUFSLRFABPTCHAAITNATTOSTSTF??ATDATWOATTNCWTOMPATSOTECTTFWOBSOGCWCDROLITIBHTWAAH?BWSTAFAEWCA?OBOWLTOOACTEWTAFOAITHTTTTOSHRISTETTECUSO?TLIHRLWSTRASNITPCBWLEFTU",
   "B3": "AICHREIHARHTOSTTDAADLATAOCTTAWTPSEEWDTTBOAFRMATHDNFOEBOTAABMPSOBTLAIATSBOEIINRANTALEEHMTAOGITMEAASRETHOEABTTREAACCTTDCGAATRTWTIDIPHBEOFOASFOBTDMMATWTACCSTTTEBAWATTTAAANHRTTJBOLRTCARSOTNOTTNCTEANBTIOOAETAGISWRFATHUOAWTWPTTHATTETISOLSWTCOHATTEOEEAWPAOLHLTRTETAWISBOHOCGDRTFEMFBASAAATECOCTARAENTTAROTLSCOTSFTONAEATTASWBSTUIGMBOEWTPTLATDCKOADBCSCWTCGROCRMEWMTSFTBWTMUATTTOSBEDAETEATRTOSDTTTOTWTITPHBPVOTFWBRTNDWWSCJBWHERBGBTLGHTUETTWRALBITATWRGAWPMGPTTGITTWTDJFTTHCSWTLCGERTSTATMOAOROORPTWDTBTLOETAAITTPDAERARCTBITAAOTUECBCTDMTOTTTRBDMTWOOHSTDTHRAACMENOCHWWAFSLWWECRCMITAEDTREHOSNEWTNDRCTIIBAOAOOOONTBOTALTTAAEOSTFCBWHBALB"
  },
  "pamphlet_encoder_key": {
   "B1": "SBS?ETFA?GCDOTTUCWWTWTAAISDBTIDTT?WTABAABADAAABBCDEFFIFLKIGPEAMNPWCHOOOALLPMOTAMANHABBBCCCCDDEAOSDSTONTFTATPOCACBCDDELETPFTBTHIFFEHUUBTJTTTIHPAOAOSATAOTT?MNMPTAAARBOPJDTT??TSBCOIDAFACPNRBABCDEFGHIIJKLMMNOHPPAWTAOMBBLSOESAOOSISPCTAOLBTFLHTOASGOWTENCLCASSAASTATOLHTAWGFEAAFBACATTWHBTTAAOETSAFAASBSTCIHRCABTODOTTDONHWTSTEHITOATSTWTTSOFDASTAAHSIWCPCWTOTLINIEEITTDATTPIUFAERFABPTCTTOIDNATTOATSTI??ATNATWNWTTOCWTOTPATSOTEBTTRAHBTOGTWCDROLITIAHLWAAS?BOSTAFAEWCM?OTOWLTOWCCTEWTAFOAAWETTTTOTHRISUETHACUAO?POIHRMSSTRASNITPCTIOWFTF",
   "B3": "AICHREIHARHTOSTTDAADLATAOCTTAWTPAEEWDTTBOAFRMADHDNFOEBOTAABMPSOTAMAIATSBOEIINRANTALEEHMTAOGITSEAASRWTHOEABTTREAACCTTDCGAATRTWTPDIPHBEOFOAETOBTDMMATWSACCSTTTEBAWASTTAAANHRTTJBOLTDCATSOTNOTTNCTEANBTIOFSATAGISWRFATHAOAWTWPTTHATTELISOLSWTCOHATTWOEEAWPAOLHFWRAADAWITAOHOCGDRTFEMFBASAAATECOCTARAENTTAROTMTBOAHFTONAEATTMTWBSTUIGSBOAWLHSGCTDCKPEDBCSCWTCGROCRTOWMTSFTBSTMUETTTOTBEDAETEATRTOADTTTOTSTIWPHTPOOTFWBRTNDWWSCJBWHERAGBTLGETUTATTRELBPTATWRGAWPMGSTTGITTWTDJFTTHCTWTLCGERTSCCTMTTOROORPSWDTBTLOETAAITTPDSATTRCTBITAGQOAACBCTDMTOTTTRBWSTSOOHSTWTHROECAEOOTEWWAFSLWWECRCMITOOWTREHOSNEWTNDRCSIITRFLBCOWNTBOTSLTTAAEATTFOBWHRGOD"
  },
  "pamphlet_straight": {
   "B1": "SBS?ETFA?GCDOTTICCITWTAAISDBWIDTT?WTFFTALCTAUCGBCDAFLPFLPIGPEAMNPWCHRATALTTMOTAMANWAFBLCCCTDIEARPDSTHNTLTATTOCATBCDAAUETPHPBTHHFFEHUIBTATTTOWPAOALSATAWTTOWOMPAHAARAAPJDTT??TSBCOCDAFACPNRBALCIEFGHIIJPLMHNOTPOCWTAAMABLSRESAOIMISPCTAOLBTFLFTOAOGHWTENAPCASSHASTATEFTTAWGFEACTWARATTWOHTTAADATHAHAASBSTCRJRCABTODVTWHCNHWTSTEORHHTTSTWTTSOPFAPTAASSSWCPAWTOTLIPIEEITTDATTPIIFALRFABTTCHAOIDNATTOATSTP??ATNATWOWTTNCNTOTTATSOTEBTDFWOBTRGFWCDROLRTIAWTWAAH?BWSTAFTEWCD?OTOWLTOIACTEWTAFETPWTOTTTOTHRROTTFTACIAO?TLITRMSSTRASNITPCTWLWFTU",
   "B3": "UICHREIAARHTOSTRDAAATATAOCTTAWTPAEEWDTTBOAFRMADTDNFOEBOTUABMTSOTAMIHATOSOEHINRANTALEEHMTAOGITSEIASRWTAOEABTTREAACCTTACNAATRTWTPDIPHBEOFOAETTBTDMMATWSACCSTTTEBAWASTTAAUPARTTJBOLTDCATSHTNOTTNCTEANBTIOFSATAORBMRFATAAOAWTWPTTHATTELSFDPOWTCOHATTWOEEAWPAOLHFWHAADAWITAOHTCGDRTFEMFBASAAATECOCTARAENTTAROTMTBOAHTTONAEATTMTWBSTIIGSBOAWLHSGCTTWPOFIBCSCWTCGROCRTOWMTSFTBSTMAEOTTOTBEDAETEATRTOADTTTOTSTIWTHTTVTTTWBRTNDWWSCJBWHERAGBTLGTTPTATTOELBPTATWRGAWPMGSTTGITTWTDJFTTHCTWTLCSERTFTACHTAHWTBRPSWDTBTLOETAAITTPDSATTTCTBHIOAOTUACBCTDMTOTTTRBWSTSRHHOTWTHOAFCAENOATWWAFSLWWECRCMITOOWTREHOSNEWTNDRCSRHTAOACHRINTBOTSLTTAAEATTTCSPWTALA"
  }
 },
 "B1_numbers_out_of_range": {
  "gillogly_table1": 10,
  "nara_straight": 10,
  "pamphlet_encoder_key": 11,
  "pamphlet_straight": 10
 },
 "B1_numbers_gt_1322": 10,
 "key_lengths": {
  "gillogly_table1": 1322,
  "nara_straight": 1322,
  "pamphlet_encoder_key": 1312,
  "pamphlet_straight": 1324
 },
 "gillogly_string": {
  "string": "ABFDEFGHIIJKLMMNOHPP",
  "index0_in_table3": 187,
  "index0_in_our_decode": 187,
  "positions_1based": [
   188,
   189,
   190,
   191,
   192,
   193,
   194,
   195,
   196,
   197,
   198,
   199,
   200,
   201,
   202,
   203,
   204,
   205,
   206,
   207
  ],
  "numbers": [
   147,
   436,
   195,
   320,
   37,
   122,
   113,
   6,
   140,
   8,
   120,
   305,
   42,
   58,
   461,
   44,
   106,
   301,
   13,
   408
  ],
  "decoded_under_each_key": {
   "gillogly_table1": "ABFDEFGHIIJKLMMNOHPP",
   "nara_straight": "ABFDEFGHIIJKLMMNOHPP",
   "pamphlet_encoder_key": "ABCDEFGHIIJKLMMNOHPP",
   "pamphlet_straight": "ALCIEFGHIIJPLMHNOTPO"
  }
 },
 "off_by_one_claim_(194,195,301,302)": {
  "gillogly_table1": {
   "194": "C",
   "195": "F",
   "301": "H",
   "302": "O"
  },
  "nara_straight": {
   "194": "C",
   "195": "F",
   "301": "H",
   "302": "O"
  },
  "pamphlet_encoder_key": {
   "194": "B",
   "195": "C",
   "301": "H",
   "302": "O"
  },
  "pamphlet_straight": {
   "194": "B",
   "195": "C",
   "301": "T",
   "302": "H"
  }
 },
 "key_words_194_195_301_302": {
  "pamphlet_numbering": {
   "194": [
    "be"
   ],
   "195": [
    "changed"
   ],
   "301": [
    "history"
   ],
   "302": [
    "of"
   ]
  },
  "nara": {
   "194": "changed",
   "195": "for",
   "301": "history",
   "302": "of"
  }
 },
 "observed": {
  "B1/gillogly_table1": {
   "S1_longest_nondecreasing_exact": 14,
   "S2_longest_step01_exact": 14,
   "n_nondecreasing_runs_ge5": 13,
   "n_nondecreasing_runs_ge8": 1,
   "n_step01_runs_ge5": 3,
   "S3_nondecreasing_le2_subs": 20,
   "S3_nondecreasing_le2_subs_letters": "ABCDEFGHIIJKLMMNOOPP",
   "S3_nondecreasing_le2_subs_detail_(pos, printed_n, n_read, letter)": [
    [
     188,
     147,
     147,
     "A"
    ],
    [
     189,
     436,
     436,
     "B"
    ],
    [
     190,
     195,
     194,
     "C"
    ],
    [
     191,
     320,
     320,
     "D"
    ],
    [
     192,
     37,
     37,
     "E"
    ],
    [
     193,
     122,
     122,
     "F"
    ],
    [
     194,
     113,
     113,
     "G"
    ],
    [
     195,
     6,
     6,
     "H"
    ],
    [
     196,
     140,
     140,
     "I"
    ],
    [
     197,
     8,
     8,
     "I"
    ],
    [
     198,
     120,
     120,
     "J"
    ],
    [
     199,
     305,
     305,
     "K"
    ],
    [
     200,
     42,
     42,
     "L"
    ],
    [
     201,
     58,
     58,
     "M"
    ],
    [
     202,
     461,
     461,
     "M"
    ],
    [
     203,
     44,
     44,
     "N"
    ],
    [
     204,
     106,
     106,
     "O"
    ],
    [
     205,
     301,
     302,
     "O"
    ],
    [
     206,
     13,
     13,
     "P"
    ],
    [
     207,
     408,
     408,
     "P"
    ]
   ],
   "S4_nondecreasing_unlimited_subs": 22,
   "S4_nondecreasing_unlimited_subs_letters": "ABCDEFGHIIJKLMMOOOOOUW",
   "S4_nondecreasing_unlimited_subs_detail_(pos, printed_n, n_read, letter)": [
    [
     188,
     147,
     147,
     "A"
    ],
    [
     189,
     436,
     436,
     "B"
    ],
    [
     190,
     195,
     194,
     "C"
    ],
    [
     191,
     320,
     320,
     "D"
    ],
    [
     192,
     37,
     37,
     "E"
    ],
    [
     193,
     122,
     122,
     "F"
    ],
    [
     194,
     113,
     113,
     "G"
    ],
    [
     195,
     6,
     6,
     "H"
    ],
    [
     196,
     140,
     139,
     "I"
    ],
    [
     197,
     8,
     8,
     "I"
    ],
    [
     198,
     120,
     120,
     "J"
    ],
    [
     199,
     305,
     305,
     "K"
    ],
    [
     200,
     42,
     42,
     "L"
    ],
    [
     201,
     58,
     58,
     "M"
    ],
    [
     202,
     461,
     461,
     "M"
    ],
    [
     203,
     44,
     43,
     "O"
    ],
    [
     204,
     106,
     106,
     "O"
    ],
    [
     205,
     301,
     302,
     "O"
    ],
    [
     206,
     13,
     12,
     "O"
    ],
    [
     207,
     408,
     407,
     "O"
    ],
    [
     208,
     680,
     681,
     "U"
    ],
    [
     209,
     93,
     93,
     "W"
    ]
   ],
   "S5_step01_le2_subs": 20,
   "S5_step01_le2_subs_letters": "ABCDEFGHIIJKLMMNOOPP",
   "S5_step01_le2_subs_detail_(pos, printed_n, n_read, letter)": [
    [
     188,
     147,
     147,
     "A"
    ],
    [
     189,
     436,
     436,
     "B"
    ],
    [
     190,
     195,
     194,
     "C"
    ],
    [
     191,
     320,
     320,
     "D"
    ],
    [
     192,
     37,
     37,
     "E"
    ],
    [
     193,
     122,
     122,
     "F"
    ],
    [
     194,
     113,
     113,
     "G"
    ],
    [
     195,
     6,
     6,
     "H"
    ],
    [
     196,
     140,
     140,
     "I"
    ],
    [
     197,
     8,
     8,
     "I"
    ],
    [
     198,
     120,
     120,
     "J"
    ],
    [
     199,
     305,
     305,
     "K"
    ],
    [
     200,
     42,
     42,
     "L"
    ],
    [
     201,
     58,
     58,
     "M"
    ],
    [
     202,
     461,
     461,
     "M"
    ],
    [
     203,
     44,
     44,
     "N"
    ],
    [
     204,
     106,
     106,
     "O"
    ],
    [
     205,
     301,
     302,
     "O"
    ],
    [
     206,
     13,
     13,
     "P"
    ],
    [
     207,
     408,
     408,
     "P"
    ]
   ],
   "S6_nondecreasing_le1_sub": 17,
   "S6_nondecreasing_le1_sub_letters": "ABCDEFGHIIJKLMMNO",
   "S6_nondecreasing_le1_sub_detail_(pos, printed_n, n_read, letter)": [
    [
     188,
     147,
     147,
     "A"
    ],
    [
     189,
     436,
     436,
     "B"
    ],
    [
     190,
     195,
     194,
     "C"
    ],
    [
     191,
     320,
     320,
     "D"
    ],
    [
     192,
     37,
     37,
     "E"
    ],
    [
     193,
     122,
     122,
     "F"
    ],
    [
     194,
     113,
     113,
     "G"
    ],
    [
     195,
     6,
     6,
     "H"
    ],
    [
     196,
     140,
     140,
     "I"
    ],
    [
     197,
     8,
     8,
     "I"
    ],
    [
     198,
     120,
     120,
     "J"
    ],
    [
     199,
     305,
     305,
     "K"
    ],
    [
     200,
     42,
     42,
     "L"
    ],
    [
     201,
     58,
     58,
     "M"
    ],
    [
     202,
     461,
     461,
     "M"
    ],
    [
     203,
     44,
     44,
     "N"
    ],
    [
     204,
     106,
     106,
     "O"
    ]
   ],
   "S7_step01_le1_sub": 17,
   "S7_step01_le1_sub_letters": "ABCDEFGHIIJKLMMNO",
   "S7_step01_le1_sub_detail_(pos, printed_n, n_read, letter)": [
    [
     188,
     147,
     147,
     "A"
    ],
    [
     189,
     436,
     436,
     "B"
    ],
    [
     190,
     195,
     194,
     "C"
    ],
    [
     191,
     320,
     320,
     "D"
    ],
    [
     192,
     37,
     37,
     "E"
    ],
    [
     193,
     122,
     122,
     "F"
    ],
    [
     194,
     113,
     113,
     "G"
    ],
    [
     195,
     6,
     6,
     "H"
    ],
    [
     196,
     140,
     140,
     "I"
    ],
    [
     197,
     8,
     8,
     "I"
    ],
    [
     198,
     120,
     120,
     "J"
    ],
    [
     199,
     305,
     305,
     "K"
    ],
    [
     200,
     42,
     42,
     "L"
    ],
    [
     201,
     58,
     58,
     "M"
    ],
    [
     202,
     461,
     461,
     "M"
    ],
    [
     203,
     44,
     44,
     "N"
    ],
    [
     204,
     106,
     106,
     "O"
    ]
   ]
  },
  "B3/gillogly_table1": {
   "S1_longest_nondecreasing_exact": 7,
   "S2_longest_step01_exact": 4,
   "n_nondecreasing_runs_ge5": 13,
   "n_nondecreasing_runs_ge8": 0,
   "n_step01_runs_ge5": 0,
   "S3_nondecreasing_le2_subs": 9,
   "S3_nondecreasing_le2_subs_letters": "ACCSTTTTT",
   "S3_nondecreasing_le2_subs_detail_(pos, printed_n, n_read, letter)": [
    [
     150,
     27,
     27,
     "A"
    ],
    [
     151,
     21,
     21,
     "C"
    ],
    [
     152,
     84,
     84,
     "C"
    ],
    [
     153,
     35,
     35,
     "S"
    ],
    [
     154,
     54,
     54,
     "T"
    ],
    [
     155,
     109,
     109,
     "T"
    ],
    [
     156,
     128,
     128,
     "T"
    ],
    [
     157,
     49,
     50,
     "T"
    ],
    [
     158,
     77,
     76,
     "T"
    ]
   ],
   "S4_nondecreasing_unlimited_subs": 13,
   "S4_nondecreasing_unlimited_subs_letters": "ACCHTTTTTTTTT",
   "S4_nondecreasing_unlimited_subs_detail_(pos, printed_n, n_read, letter)": [
    [
     215,
     24,
     24,
     "A"
    ],
    [
     216,
     93,
     92,
     "C"
    ],
    [
     217,
     3,
     4,
     "C"
    ],
    [
     218,
     19,
     20,
     "H"
    ],
    [
     219,
     17,
     16,
     "T"
    ],
    [
     220,
     26,
     26,
     "T"
    ],
    [
     221,
     60,
     60,
     "T"
    ],
    [
     222,
     73,
     74,
     "T"
    ],
    [
     223,
     88,
     87,
     "T"
    ],
    [
     224,
     14,
     14,
     "T"
    ],
    [
     225,
     126,
     126,
     "T"
    ],
    [
     226,
     138,
     137,
     "T"
    ],
    [
     227,
     234,
     234,
     "T"
    ]
   ],
   "S5_step01_le2_subs": 7,
   "S5_step01_le2_subs_letters": "STTTTTT",
   "S5_step01_le2_subs_detail_(pos, printed_n, n_read, letter)": [
    [
     382,
     216,
     216,
     "S"
    ],
    [
     383,
     118,
     119,
     "T"
    ],
    [
     384,
     29,
     29,
     "T"
    ],
    [
     385,
     55,
     55,
     "T"
    ],
    [
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   "S6_nondecreasing_le1_sub": 8,
   "S6_nondecreasing_le1_sub_letters": "ACCSTTTT",
   "S6_nondecreasing_le1_sub_detail_(pos, printed_n, n_read, letter)": [
    [
     150,
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    [
     151,
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    [
     152,
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    [
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    [
     156,
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     157,
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   "S7_step01_le1_sub": 5,
   "S7_step01_le1_sub_letters": "STTTT",
   "S7_step01_le1_sub_detail_(pos, printed_n, n_read, letter)": [
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     153,
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     157,
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   "S2_longest_step01_exact": 14,
   "n_nondecreasing_runs_ge5": 11,
   "n_nondecreasing_runs_ge8": 1,
   "n_step01_runs_ge5": 2,
   "S3_nondecreasing_le2_subs": 20,
   "S3_nondecreasing_le2_subs_letters": "ABCDEFGHIIJKLMMNOOPP",
   "S3_nondecreasing_le2_subs_detail_(pos, printed_n, n_read, letter)": [
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     188,
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     190,
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   "S4_nondecreasing_unlimited_subs_letters": "ABCDEFGHIIJKLMMOOOOOOW",
   "S4_nondecreasing_unlimited_subs_detail_(pos, printed_n, n_read, letter)": [
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   "S5_step01_le2_subs_detail_(pos, printed_n, n_read, letter)": [
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   "S6_nondecreasing_le1_sub": 17,
   "S6_nondecreasing_le1_sub_letters": "ABCDEFGHIIJKLMMNO",
   "S6_nondecreasing_le1_sub_detail_(pos, printed_n, n_read, letter)": [
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     188,
     147,
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     190,
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     204,
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     "O"
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   "S7_step01_le1_sub": 17,
   "S7_step01_le1_sub_letters": "ABCDEFGHIIJKLMMNO",
   "S7_step01_le1_sub_detail_(pos, printed_n, n_read, letter)": [
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     188,
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     190,
     195,
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     193,
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   "S2_longest_step01_exact": 4,
   "n_nondecreasing_runs_ge5": 13,
   "n_nondecreasing_runs_ge8": 0,
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   "S3_nondecreasing_le2_subs": 9,
   "S3_nondecreasing_le2_subs_letters": "ACCSTTTTT",
   "S3_nondecreasing_le2_subs_detail_(pos, printed_n, n_read, letter)": [
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     150,
     27,
     27,
     "A"
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     151,
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     21,
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     152,
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     157,
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     76,
     "T"
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   "S4_nondecreasing_unlimited_subs": 13,
   "S4_nondecreasing_unlimited_subs_letters": "ACCHTTTTTTTTT",
   "S4_nondecreasing_unlimited_subs_detail_(pos, printed_n, n_read, letter)": [
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     215,
     24,
     24,
     "A"
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     216,
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     217,
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     218,
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     "H"
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     219,
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     "T"
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    [
     220,
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     "T"
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    [
     221,
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     60,
     "T"
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    [
     222,
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     "T"
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    [
     223,
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    [
     224,
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     226,
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     "T"
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    [
     227,
     234,
     234,
     "T"
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   "S5_step01_le2_subs": 7,
   "S5_step01_le2_subs_letters": "STTTTTT",
   "S5_step01_le2_subs_detail_(pos, printed_n, n_read, letter)": [
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     382,
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     216,
     "S"
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    [
     383,
     118,
     119,
     "T"
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    [
     384,
     29,
     29,
     "T"
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     385,
     55,
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     "T"
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     137,
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     172,
     "T"
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   "S6_nondecreasing_le1_sub": 8,
   "S6_nondecreasing_le1_sub_letters": "ACCSTTTT",
   "S6_nondecreasing_le1_sub_detail_(pos, printed_n, n_read, letter)": [
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     150,
     27,
     27,
     "A"
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    [
     151,
     21,
     21,
     "C"
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     152,
     84,
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     155,
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     156,
     128,
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     157,
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     50,
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   "S7_step01_le1_sub": 5,
   "S7_step01_le1_sub_letters": "STTTT",
   "S7_step01_le1_sub_detail_(pos, printed_n, n_read, letter)": [
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     153,
     35,
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     54,
     54,
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     128,
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     157,
     49,
     50,
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   "S2_longest_step01_exact": 17,
   "n_nondecreasing_runs_ge5": 9,
   "n_nondecreasing_runs_ge8": 3,
   "n_step01_runs_ge5": 4,
   "S3_nondecreasing_le2_subs": 22,
   "S3_nondecreasing_le2_subs_letters": "ABCDEFGHIIJKLMMNOOPPTW",
   "S3_nondecreasing_le2_subs_detail_(pos, printed_n, n_read, letter)": [
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     188,
     147,
     147,
     "A"
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    [
     189,
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     436,
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     190,
     195,
     195,
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   "S4_nondecreasing_unlimited_subs": 22,
   "S4_nondecreasing_unlimited_subs_letters": "ABBDEFGHIIJKLMMOOOOOTW",
   "S4_nondecreasing_unlimited_subs_detail_(pos, printed_n, n_read, letter)": [
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     188,
     147,
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     189,
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     190,
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   "S5_step01_le2_subs": 21,
   "S5_step01_le2_subs_letters": "ABCDEFGHIIJKLMMNOOPPP",
   "S5_step01_le2_subs_detail_(pos, printed_n, n_read, letter)": [
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   "S6_nondecreasing_le1_sub": 20,
   "S6_nondecreasing_le1_sub_letters": "ABCDEFGHIIJKLMMNOOPP",
   "S6_nondecreasing_le1_sub_detail_(pos, printed_n, n_read, letter)": [
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   "S7_step01_le1_sub": 20,
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   "S7_step01_le1_sub_detail_(pos, printed_n, n_read, letter)": [
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     188,
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   "S2_longest_step01_exact": 4,
   "n_nondecreasing_runs_ge5": 11,
   "n_nondecreasing_runs_ge8": 0,
   "n_step01_runs_ge5": 0,
   "S3_nondecreasing_le2_subs": 9,
   "S3_nondecreasing_le2_subs_letters": "AAACCSTTT",
   "S3_nondecreasing_le2_subs_detail_(pos, printed_n, n_read, letter)": [
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     148,
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     149,
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   "S4_nondecreasing_unlimited_subs_detail_(pos, printed_n, n_read, letter)": [
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     148,
     23,
     24,
     "A"
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     149,
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     150,
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   "S5_step01_le2_subs": 7,
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   "S5_step01_le2_subs_detail_(pos, printed_n, n_read, letter)": [
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   "S6_nondecreasing_le1_sub": 8,
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     150,
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   "S7_step01_le1_sub": 5,
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     153,
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   "S2_longest_step01_exact": 7,
   "n_nondecreasing_runs_ge5": 6,
   "n_nondecreasing_runs_ge8": 1,
   "n_step01_runs_ge5": 1,
   "S3_nondecreasing_le2_subs": 14,
   "S3_nondecreasing_le2_subs_letters": "EFGHIIJKLMMNOT",
   "S3_nondecreasing_le2_subs_detail_(pos, printed_n, n_read, letter)": [
    [
     192,
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    [
     193,
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     205,
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   "S4_nondecreasing_unlimited_subs": 19,
   "S4_nondecreasing_unlimited_subs_letters": "ABBDEFGHIIJKLMMOPTT",
   "S4_nondecreasing_unlimited_subs_detail_(pos, printed_n, n_read, letter)": [
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     188,
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     147,
     "A"
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    [
     189,
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     190,
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   "S5_step01_le2_subs_detail_(pos, printed_n, n_read, letter)": [
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     192,
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     37,
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     193,
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     198,
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     200,
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     204,
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   "S6_nondecreasing_le1_sub": 10,
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     190,
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     191,
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     192,
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     199,
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   "S7_step01_le1_sub": 10,
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   "S7_step01_le1_sub_detail_(pos, printed_n, n_read, letter)": [
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     192,
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     193,
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     194,
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     199,
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     200,
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     "L"
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     201,
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   "S1_longest_nondecreasing_exact": 7,
   "S2_longest_step01_exact": 4,
   "n_nondecreasing_runs_ge5": 10,
   "n_nondecreasing_runs_ge8": 0,
   "n_step01_runs_ge5": 0,
   "S3_nondecreasing_le2_subs": 9,
   "S3_nondecreasing_le2_subs_letters": "AAACCSTTT",
   "S3_nondecreasing_le2_subs_detail_(pos, printed_n, n_read, letter)": [
    [
     148,
     23,
     24,
     "A"
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    [
     149,
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     150,
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     27,
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     151,
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     21,
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    [
     152,
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     153,
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     154,
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     155,
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     156,
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   "S4_nondecreasing_unlimited_subs": 13,
   "S4_nondecreasing_unlimited_subs_letters": "AAACCTTTTTTTW",
   "S4_nondecreasing_unlimited_subs_detail_(pos, printed_n, n_read, letter)": [
    [
     148,
     23,
     24,
     "A"
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    [
     149,
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     "A"
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    [
     150,
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     "A"
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    [
     151,
     21,
     21,
     "C"
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     152,
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    [
     153,
     35,
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    [
     154,
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     155,
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    [
     156,
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    [
     157,
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     50,
     "T"
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    [
     158,
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    [
     159,
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    [
     160,
     1,
     1,
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   ],
   "S5_step01_le2_subs": 7,
   "S5_step01_le2_subs_letters": "TTTTTTT",
   "S5_step01_le2_subs_detail_(pos, printed_n, n_read, letter)": [
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     384,
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     385,
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     386,
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     387,
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     388,
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     389,
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    [
     390,
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     64,
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   ],
   "S6_nondecreasing_le1_sub": 8,
   "S6_nondecreasing_le1_sub_letters": "AACCSTTT",
   "S6_nondecreasing_le1_sub_detail_(pos, printed_n, n_read, letter)": [
    [
     149,
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     216,
     "A"
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    [
     150,
     27,
     27,
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    [
     151,
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     21,
     "C"
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     152,
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    [
     153,
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    [
     154,
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     155,
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     156,
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   ],
   "S7_step01_le1_sub": 5,
   "S7_step01_le1_sub_letters": "AAAAA",
   "S7_step01_le1_sub_detail_(pos, printed_n, n_read, letter)": [
    [
     18,
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    [
     19,
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    [
     20,
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    [
     21,
     348,
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     "A"
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    [
     22,
     116,
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   ]
  }
 },
 "null_i_iid_letters_exact": {
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   "letter_frequencies": {
    "A": 0.1263,
    "B": 0.0363,
    "C": 0.0401,
    "D": 0.028,
    "E": 0.0272,
    "F": 0.0469,
    "G": 0.0144,
    "H": 0.0605,
    "I": 0.0522,
    "J": 0.0076,
    "K": 0.003,
    "L": 0.0257,
    "M": 0.0227,
    "N": 0.0144,
    "O": 0.1097,
    "P": 0.0446,
    "Q": 0.0008,
    "R": 0.031,
    "S": 0.0469,
    "T": 0.1929,
    "U": 0.0212,
    "V": 0.0015,
    "W": 0.0446,
    "X": 0.0008,
    "Y": 0.0008
   },
   "break_fraction_in_B1": 0.019230769230769232,
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    "8": 0.09683781374379388,
    "10": 0.004536171866291104,
    "12": 0.00018511468611801898,
    "14": 7.184001824495151e-06,
    "17": 5.270195703078561e-08,
    "20": 3.7926052485426825e-10
   },
   "exact_P_nondecreasing_run_ge_L_with_B1_breaks": {
    "5": 0.9992313102367039,
    "8": 0.08390505301062125,
    "10": 0.003755257951573649,
    "12": 0.00014733315452089815,
    "14": 5.499444600381383e-06,
    "17": 3.805912153249506e-08,
    "20": 2.583828045588455e-10
   },
   "exact_P_step01_run_ge_L_n520": {
    "5": 0.19362914223465993,
    "8": 0.001303056737554691,
    "10": 4.677416964058953e-05,
    "12": 1.711187079721781e-06,
    "14": 6.308664838470694e-08,
    "17": 4.488815687574183e-10,
    "20": 3.20007132377806e-12
   },
   "exact_P_step01_run_ge_L_with_B1_breaks": {
    "5": 0.17805558849524245,
    "8": 0.0011206719144202864,
    "10": 3.869410884800563e-05,
    "12": 1.3616921488872498e-06,
    "14": 4.828994807692253e-08,
    "17": 3.241557112533546e-10,
    "20": 2.1801310339606377e-12
   },
   "uniform26_P_step01_run_ge_L_n520": {
    "14": 1.1615553915138575e-12,
    "17": 4.852301145761003e-16,
    "20": 2.0129255375713866e-19
   },
   "uniform26_P_nondecreasing_run_ge_L_n520": {
    "14": 1.0641759377774001e-07,
    "17": 1.0282006965154247e-10,
    "20": 7.299102070287033e-14
   },
   "gillogly_arithmetic_495_over_13^13": 1.634337022838909e-12,
   "P_L_consecutive_iid_letters_nondecreasing": {
    "5": 0.019183483173942348,
    "8": 0.0002519521636599269,
    "10": 1.1158032556985788e-05,
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