System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "278519436", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "872915634"
result = "452317698"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "439782516", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "934287615"
result = "574183629"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "963785142", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "369587241"
result = "179486253"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "236897514", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "632798415"
result = "582193476"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "657124839", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "756421938"
result = "816325947"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "874265139", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "478562931"
result = "128367954"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "634871529", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "436178925"
result = "586273914"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "291734586", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "192437685"
result = "572839641"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "168973524", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "861379425"
result = "591276438"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "376849125", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "673948521"
result = "183247596"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "542396178", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "245693871"
result = "135794862"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "265437198", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "562734891"
result = "142936875"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "927348651", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "729843156"
result = "639542187"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "975823416", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "579328614"
result = "489127635"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "138976254", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "831679452"
result = "291573468"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "691857432", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "196758234"
result = "486359271"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "281734659", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "182437956"
result = "672538941"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "845167932", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "548761239"
result = "918364275"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "768342195", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "867243591"
result = "137946528"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "892756413", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "298657314"
result = "478159362"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "835196427", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "538691724"
result = "418293765"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "759631284", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "957136482"
result = "267835419"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "784615923", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "487516329"
result = "967218354"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "261478953", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "162874359"
result = "942576381"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "256137498", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "652731894"
result = "412935876"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "387129456", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "783921654"
result = "413528697"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "426895713", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "624598317"
result = "784192356"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "514873269", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "415378962"
result = "285671934"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "163528794", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "361825497"
result = "751926483"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "527943816", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "725349618"
result = "895142637"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "754921368", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "457129863"
result = "397625814"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "837159264", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "738951462"
result = "218653497"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "351786492", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "153687294"
result = "473985261"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "318549726", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "813945627"
result = "753241698"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "568471293", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "865174392"
result = "245976318"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "431795268", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "134597862"
result = "274693851"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "875169432", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "578961234"
result = "418367295"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "128639745", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "821936547"
result = "761432598"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "287549613", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "782945316"
result = "652148397"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "286417539", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "682714935"
result = "542318976"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "768154293", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "867451392"
result = "217956348"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "234951786", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "432159687"
result = "792853614"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "263498715", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "362894517"
result = "742196583"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "147965382", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "741569283"
result = "391864257"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "614372598", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "416273895"
result = "536971824"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "962571438", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "269175834"
result = "459376812"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "569832174", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "965238471"
result = "185736429"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "698174253", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "896471352"
result = "216579348"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "197586243", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "791685342"
result = "251489367"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "952871364", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "259178463"
result = "389675412"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "297653418", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "792356814"
result = "462159837"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "986537142", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "689735241"
result = "159438276"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "921684735", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "129486537"
result = "769382541"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "759481326", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "957184623"
result = "347285619"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "645893721", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "546398127"
result = "786294135"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "679453182", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "976354281"
result = "146857239"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "658732941", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "856237149"
result = "976435128"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "617432895", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "716234598"
result = "846931527"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "294831765", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "492138567"
result = "782639514"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "371628549", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "173826945"
result = "563427981"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "614923578", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "416329875"
result = "596721834"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "854621973", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "458126379"
result = "968725314"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "265849137", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "562948731"
result = "182346795"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "789362415", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "987263514"
result = "437168529"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "841279365", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "148972563"
result = "328674591"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "578931264", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "875139462"
result = "295637418"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "387619245", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "783916542"
result = "263418597"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "892641573", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "298146375"
result = "568749312"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "136987524", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "631789425"
result = "591283476"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "479128653", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "974821356"
result = "614527389"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "248167539", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "842761935"
result = "512364978"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "456739812", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "654937218"
result = "874135296"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "734258619", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "437852916"
result = "627153984"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "243659781", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "342956187"
result = "762854193"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "469231758", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "964132857"
result = "724536819"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "523617984", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "325716489"
result = "965812473"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "786325941", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "687523149"
result = "937428156"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "265978413", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "562879314"
result = "492176385"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "192756384", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "291657483"
result = "371859462"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "746139528", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "647931825"
result = "517234896"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "672349185", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "276943581"
result = "136847592"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "967381524", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "769183425"
result = "539286417"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "784236159", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "487632951"
result = "127538964"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "639548217", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "936845712"
result = "256143789"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "562184973", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "265481379"
result = "915786342"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "853214796", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "358412697"
result = "728915643"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "267841395", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "762148593"
result = "382946517"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "245913876", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "542319678"
result = "892714635"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "971648235", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "179846532"
result = "269347581"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "583246917", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "385642719"
result = "925148763"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "896325471", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "698523174"
result = "438729156"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "157864239", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "751468932"
result = "281365947"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "178326495", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "871623594"
result = "431927568"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "548719632", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "845917236"
result = "675314298"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "261573849", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "162375948"
result = "852476931"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "697153824", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "796351428"
result = "816259437"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "493128756", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "394821657"
result = "714529683"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "138425697", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "831524796"
result = "641923758"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "496275381", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "694572183"
result = "324879156"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "137864952", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "731468259"
result = "981563247"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "287564931", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "782465139"
result = "952368147"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "935612487", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "539216784"
result = "469813725"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "853146729", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "358641927"
result = "718245963"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "476895231", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "674598132"
result = "284397156"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "342581679", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "243185976"
result = "653784912"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "493618257", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "394816752"
result = "264519783"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "917426358", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "719624853"
result = "349521867"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "256738149", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "652837941"
result = "172435986"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "695423178", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "596324871"
result = "146729835"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "925743618", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "529347816"
result = "679142835"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "629853714", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "926358417"
result = "786152439"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "381962754", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "183269457"
result = "793568421"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "361874925", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "163478529"
result = "983276541"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "639842517", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "936248715"
result = "586143729"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "594286173", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "495682371"
result = "125789364"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "547938126", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "745839621"
result = "195234687"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "982347651", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "289743156"
result = "639548172"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "458697123", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "854796321"
result = "164295378"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "951763842", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "159367248"
result = "879465231"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "176295348", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "671592843"
result = "321497856"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "359724618", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "953427816"
result = "673125849"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "465237981", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "564732189"
result = "924836175"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "482157396", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "284751693"
result = "314958672"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "234786195", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "432687591"
result = "172983564"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "159374682", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "951473286"
result = "631875249"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "465791283", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "564197382"
result = "274896315"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "278153496", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "872351694"
result = "412957638"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "689514237", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "986415732"
result = "256318749"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "254698173", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "452896371"
result = "162795384"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "391524687", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "193425786"
result = "653829741"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "792315648", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "297513846"
result = "637419852"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "914278365", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "419872563"
result = "329671584"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "518697243", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "815796342"
result = "265491378"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "413968257", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "314869752"
result = "294561783"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "635247918", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "536742819"
result = "926143875"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "483769251", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "384967152"
result = "274568193"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "817349562", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "718943265"
result = "538641297"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "748531962", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "847135269"
result = "957634218"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "936728154", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "639827451"
result = "179523486"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "947218536", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "749812635"
result = "529314687"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "253674189", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "352476981"
result = "162875943"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "157348629", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "751843926"
result = "631245987"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "842693175", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "248396571"
result = "168794532"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "739542861", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "937245168"
result = "857643129"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "528961437", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "825169734"
result = "495362718"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "549761238", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "945167832"
result = "275364819"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "134795862", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "431597268"
result = "871693254"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "826547193", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "628745391"
result = "158942376"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "265789413", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "562987314"
result = "472186395"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "813692574", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "318296475"
result = "568791423"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "689342571", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "986243175"
result = "536748129"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "826375194", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "628573491"
result = "138972456"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "197234658", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "791432856"
result = "621539847"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "379124586", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "973421685"
result = "513827649"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "136275948", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "631572849"
result = "921473856"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "571643892", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "175346298"
result = "865947231"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "453726819", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "354627918"
result = "874125963"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "637845129", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "736548921"
result = "186243957"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "615738942", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "516837249"
result = "976431285"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "174893562", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "471398265"
result = "581697234"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "167245938", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "761542839"
result = "921346857"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "685217349", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "586712943"
result = "326418975"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "718249653", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "817942356"
result = "627541398"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "572843619", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "275348916"
result = "685147932"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "197283456", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "791382654"
result = "421589637"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "436157982", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "634751289"
result = "914853276"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "349271865", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "943172568"
result = "823674519"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "684213597", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "486312795"
result = "526918734"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "462357891", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "264753198"
result = "834956172"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "817342569", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "718243965"
result = "538641927"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "831729564", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "138927465"
result = "578623491"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "645927183", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "546729381"
result = "196824375"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "827435691", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "728534196"
result = "648932157"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "892567134", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "298765431"
result = "158369472"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "895267134", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "598762431"
result = "128369475"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "961325874", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "169523478"
result = "839726451"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "732495681", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "237594186"
result = "647893152"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "645317982", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "546713289"
result = "936814275"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "459137862", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "954731268"
result = "814635279"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "847126359", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "748621953"
result = "318524967"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "149876253", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "941678352"
result = "281574369"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "168925374", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "861529473"
result = "391726458"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "653249718", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "356942817"
result = "726145893"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "936218574", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "639812475"
result = "529713486"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "647385921", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "746583129"
result = "936284157"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "743586291", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "347685192"
result = "257984163"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "738415962", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "837514269"
result = "947613258"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "823567194", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "328765491"
result = "158962473"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "645371928", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "546173829"
result = "936274815"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "429863157", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "924368751"
result = "184562739"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "942153786", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "249351687"
result = "719854632"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "659814327", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "956418723"
result = "386215749"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "867291435", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "768192534"
result = "428396517"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "835279461", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "538972164"
result = "428673195"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "417632859", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "714236958"
result = "864531927"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "259476138", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "952674831"
result = "142375869"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "352784196", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "253487691"
result = "173985642"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "915287346", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "519782643"
result = "329481675"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "492167538", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "294761835"
result = "514369872"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply flip_h to the grid "621854739", then apply anti_transpose to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "126458937"
result = "786352941"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply anti_transpose to the grid "638295471", then apply flip_h to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "158793426"
result = "851397624"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply anti_transpose to the grid "267849135", then apply flip_h to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "597346182"
result = "795643281"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply anti_transpose to the grid "879352416", then apply flip_h to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "629157438"
result = "926751834"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply anti_transpose to the grid "761832495", then apply flip_h to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "521936487"
result = "125639784"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply anti_transpose to the grid "236719584", then apply flip_h to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "496813572"
result = "694318275"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply anti_transpose to the grid "179623854", then apply flip_h to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "439527861"
result = "934725168"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply anti_transpose to the grid "294356187", then apply flip_h to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "764859132"
result = "467958231"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply anti_transpose to the grid "358961274", then apply flip_h to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "418765293"
result = "814567392"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply anti_transpose to the grid "716354829", then apply flip_h to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "946251837"
result = "649152738"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply anti_transpose to the grid "175368492", then apply flip_h to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "285967431"
result = "582769134"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply anti_transpose to the grid "791523648", then apply flip_h to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "831429657"
result = "138924756"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply anti_transpose to the grid "134976258", then apply flip_h to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "864573291"
result = "468375192"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply anti_transpose to the grid "438951276", then apply flip_h to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "618753294"
result = "816357492"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply anti_transpose to the grid "175869324", then apply flip_h to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "495267381"
result = "594762183"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply anti_transpose to the grid "231679854", then apply flip_h to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "491573862"
result = "194375268"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply anti_transpose to the grid "165372498", then apply flip_h to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "825976431"
result = "528679134"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply anti_transpose to the grid "297614538", then apply flip_h to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "847319562"
result = "748913265"


System: You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[System] You are a precise operations engine. Apply the named operations exactly, in order, and end with result = "<answer>".

[User]
Apply anti_transpose to the grid "645973128", then apply flip_h to the result.
Return one step then the final:
step1 = "<...>"
result = "<...>"

Response:
step1 = "835274196"
result = "538472691"